Finite Group Databasebeta

← #7987163

Subgroups — #7987163

Order 512.

4841 conjugacy classes of subgroups.

The subgroup lattice has 1686 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59503C212yesmaximal, complemented
2#59429C211yesmaximal, characteristic, complemented
3#59314C211yesmaximal, characteristic, complemented
4#59259C211yesmaximal, characteristic, complemented
5#59206C212yesmaximal, complemented
6#49954C214yesmaximal, complemented
7#48350C214yesmaximal, complemented
8#46170C214yesmaximal, complemented
9#45377C212yesmaximal
10#45252C212yesmaximal, complemented
11#45109C212yesmaximal, complemented
12#45081C212yesmaximal, complemented
13#42956C212yesmaximal, complemented
14#42948C212yesmaximal, complemented
15#42637C212yesmaximal, complemented
16#42636C212yesmaximal, complemented
17#39370C211yesmaximal, characteristic, complemented
18#38977C211yesmaximal, characteristic, complemented
19#38932C211yesmaximal, characteristic, complemented
20#38921C211yesmaximal, characteristic, complemented
21#38772C214yesmaximal, complemented
22#38224C212yesmaximal, complemented
23#37856C212yesmaximal, complemented
24#36516C212yesmaximal, complemented
25#36480C211yesmaximal, characteristic, complemented
26#36452C212yesmaximal, complemented
27#36189C211yesmaximal, characteristic, complemented
28#36154C211yesmaximal, characteristic, complemented
29#35253C212yesmaximal, complemented
30#35176C212yesmaximal, complemented
31#34803C211yesmaximal, characteristic, complemented
32#34700C211yesmaximal, characteristic
33#34484C211yesmaximal, characteristic, complemented
34#34384C211yesmaximal, characteristic, complemented
35D4×#117C211yesmaximal, characteristic, complemented
36C2×#554C2211yescharacteristic
37C2×#554C2212yescomplemented
38C2×#544C2212yescomplemented
39C2×#529C2211yescharacteristic
40C22×C4×D4C2211yescharacteristic
41C22×#117C2212yes—
42#2863C2212yescomplemented
43#2859C2211yescharacteristic, complemented
44#2857C2211yescharacteristic
45#2857C2211yescharacteristic, complemented
46#2857C2214yescomplemented
47#2855C2214yescomplemented
48#2851C2214yescomplemented
49#2848C2212yes—
50#2839C2214yescomplemented
51#2839C2214yescomplemented
52#2794C2214yescomplemented
53#2788C2214yescomplemented
54#2770C2214yescomplemented
55#2768C2214yes—
56#2765C2214yescomplemented
57#2765C2214yescomplemented
58#2764C2214yescomplemented
59#2762C2214yescomplemented
60#2750C2214yes—
61#2750C2214yes—
62#2747C2214yescomplemented
63#2746C2214yes—
64#2746C2214yes—
65#2744C2214yes—
66#2744C2214yescomplemented
67#2743C2214yes—
68#2739C2214yes—
69#2739C2214yescomplemented
70#2738C2214yes—
71#2735C2214yes—
72#2735C2214yes—
73#2729C2214yescomplemented
74#2729C2214yescomplemented
75#2728C2214yes—
76#2720C2214yescomplemented
77#2719C2214yescomplemented
78#2704C2214yescomplemented
79#2698C2214yescomplemented
80#2695C2214yescomplemented
81#2693C2214yes—
82#2690C2214yescomplemented
83#2687C2214yescomplemented
84#2680C2214yescomplemented
85#2667C2214yescomplemented
86#2667C2214yescomplemented
87#2655C2214yescomplemented
88#2652C2214yescomplemented
89#2647C2212yescomplemented
90#2645C2212yescomplemented
91#2629C2214yes—
92#2629C2212yescomplemented
93#2628C2214yes—
94#2625C2212yescomplemented
95#2605C2214yescomplemented
96#2599C2214yescomplemented
97#2585C2214yescomplemented
98#2582C2211yescharacteristic, complemented
99#2581C2212yescomplemented
100#2578C2214yescomplemented
101#2577C2214yescomplemented
102#2573C2214yescomplemented
103#2573C2214yescomplemented
104#2570C2212yescomplemented
105#2570C2212yescomplemented
106#2567C2211yescharacteristic, complemented
107#2565C2212yescomplemented
108#2563C2211yescharacteristic
109#2562C2212yescomplemented
110#2561C2214yes—
111#2553C2214yescomplemented
112#2552C2212yescomplemented
113#2552C2211yescharacteristic, complemented
114#2551C2211yescharacteristic, complemented
115#2546C2212yescomplemented
116#2542C2212yes—
117#2538C2212yes—
118#2538C2211yescharacteristic
119#2538C2212yes—
120#2536C2214yescomplemented
121#2534C2214yes—
122#2534C2214yes—
123#2533C2212yescomplemented
124#2527C2212yescomplemented
125#2523C2212yes—
126#2522C2214yescomplemented
127#2522C2214yescomplemented
128#2517C2214yescomplemented
129#2515C2214yescomplemented
130#2514C2211yescharacteristic, complemented
131#2511C2212yescomplemented
132#2509C2212yescomplemented
133#2509C2211yescharacteristic, complemented
134#2508C2212yescomplemented
135#2508C2212yescomplemented
136#2507C2212yescomplemented
137#2507C2212yescomplemented
138#2506C2212yescomplemented
139#2506C2212yescomplemented
140#2503C2212yescomplemented
141#2499C2211yescharacteristic
142#2497C2212yes—
143#2497C2212yes—
144#2497C2212yes—
145#2497C2212yescomplemented
146#2497C2212yescomplemented
147#2496C2211yescharacteristic, complemented
148#2495C2212yescomplemented
149#2495C2212yescomplemented
150#2494C2212yescomplemented
151#2493C2214yescomplemented
152#2492C2212yes—
153#2492C2211yescharacteristic, complemented
154#2489C2212yescomplemented
155#2489C2212yescomplemented
156#2487C2212yes—
157#2487C2212yes—
158#2487C2212yescomplemented
159#2486C2212yescomplemented
160#2486C2212yescomplemented
161#2485C2211yescharacteristic
162#2482C2214yes—
163#2480C2212yes—
164#2477C2214yes—
165#2477C2214yes—
166#2477C2214yescomplemented
167#2475C2214yes—
168#2475C2214yescomplemented
169#2468C2212yes—
170#2466C2212yes—
171#2465C2214yes—
172#2465C2214yescomplemented
173#2463C2214yes—
174#2460C2214yescomplemented
175#2457C2212yes—
176#2454C2212yes—
177#2454C2211yescharacteristic
178#2452C2212yes—
179#2450C2214yes—
180#2449C2214yescomplemented
181#2447C2212yes—
182#2447C2212yes—
183#2447C2211yescharacteristic
184#2442C2212yes—
185#2442C2211yescharacteristic
186#2442C2212yescomplemented
187#2442C2212yescomplemented
188#2442C2212yescomplemented
189#2442C2212yescomplemented
190#2441C2212yes—
191#2441C2212yes—
192#2440C2212yescomplemented
193#2440C2212yescomplemented
194#2440C2212yescomplemented
195#2439C2212yes—
196#2439C2211yescharacteristic
197#2439C2212yescomplemented
198#2438C2214yescomplemented
199#2438C2214yescomplemented
200#2437C2214yes—
201#2437C2214yes—
202#2437C2214yes—
203#2435C2211yescharacteristic
204#2429C2214yescomplemented
205#2427C2211yescharacteristic
206#2423C2212yes—
207#2423C2212yes—
208#2423C2214yescomplemented
209#2423C2212yescomplemented
210#2422C2212yes—
211#2422C2212yes—
212#2420C2211yescharacteristic
213#2418C2212yes—
214#2417C2212yes—
215#2417C2212yes—
216#2417C2211yescharacteristic
217#2415C2211yescharacteristic
218#2415C2212yescomplemented
219#2408C2211yescharacteristic
220#2401C2212yes—
221#2398C2212yes—
222#2395C2212yes—
223#2392C2212yes—
224#2383C2214yescomplemented
225#2378C2214yescomplemented
226#2370C2212yescomplemented
227#2369C2211yescharacteristic, complemented
228#2367C2212yes—
229#2365C2212yescomplemented
230#2362C2212yes—
231#2362C2212yescomplemented
232#2361C2212yes—
233#2361C2212yes—
234#2360C2212yescomplemented
235#2360C2212yescomplemented
236#2359C2214yescomplemented
237#2355C2211yescharacteristic, complemented
238#2355C2212yescomplemented
239#2354C2211yescharacteristic
240#2354C2212yes—
241#2354C2211yescharacteristic
242#2352C2212yes—
243#2352C2212yes—
244#2352C2212yes—
245#2352C2212yescomplemented
246Q8×C4⋊C4C2211yescharacteristic, complemented
247Q8×C4⋊C4C2211yescharacteristic, complemented
248#2349C2212yes—
249D4×C4⋊C4C2211yescharacteristic
250D4×C4⋊C4C2211yescharacteristic
251D4×C4⋊C4C2211yescharacteristic
252D4×C4⋊C4C2212yescomplemented
253#2347C2212yes—
254#2345C2212yescomplemented
255#2345C2212yescomplemented
256#2344C2212yes—
257#2344C2212yescomplemented
258#2342C2214yes—
259D4×C22⋊C4C2212yes—
260D4×C22⋊C4C2212yes—
261#2330C2212yescomplemented
262#2330C2212yescomplemented
263#2326C2212yes—
264#2323C2214yescomplemented
265#2323C2212yescomplemented
266#2322C2214yescomplemented
267#2319C2212yes—
268#2319C2212yes—
269#2319C2212yes—
270#2317C2212yescomplemented
271#2317C2212yescomplemented
272#2316C2212yescomplemented
273#2314C2212yescomplemented
274C4×C4⋊Q8C2211yescharacteristic, complemented
275C4×C4⋊Q8C2211yescharacteristic, complemented
276C4×C4⋊Q8C2212yescomplemented
277C4×#126C2212yescomplemented
278C4×#124C2211yescharacteristic
279C4×C22⋊Q8C2211yescharacteristic
280C4×C22⋊Q8C2211yescharacteristic
281C4×C22⋊Q8C2211yescharacteristic, complemented
282C4×#123C2214yescomplemented
283C4×#121C2211yescharacteristic
284C4×#120C2212yes—
285#2295C2211yescharacteristic, complemented
286#2295C2212yescomplemented
287#2293C2212yes—
288#2293C2211yescharacteristic
289#2290C2214yes—
290#2285C2211yescharacteristic
291C2×#384C2211yescharacteristic, complemented
292#2283C2211yescharacteristic, complemented
293#2280C2212yes—
294#2280C2212yes—
295C2×#380C2212yes—
296C42×D4C2212yes—
297C42×D4C2211yescharacteristic
298C4×#117C2211yescharacteristic
299C23×D4C2311yescharacteristic
300C24×C4C2312yes—
301#554—28no—
302#554—48no—
303#544—48no—
304C2×C4⋊Q8C2311yescharacteristic
305C2×C4⋊Q8C2311yescharacteristic
306C2×C4⋊Q8C2312yes—
307C2×C4⋊Q8C2312yes—
308C2×C4⋊Q8C2314yes—
309#529—28no—
310C2×#126C2312yes—
311C2×#126C2312yes—
312C2×#125C2311yescharacteristic
313C2×#125C2312yes—
314C2×#125C2312yes—
315C2×#125C2314yes—
316C2×#125C2312yes—
317C2×#125C2314yes—
318C2×#124C2311yescharacteristic
319C2×#124C2311yescharacteristic
320C2×#123C2312yes—
321C2×#123C2314yes—
322C2×#123C2314yes—
323C2×C22⋊Q8C2312yes—
324C2×C22⋊Q8C2314yes—
325C2×C22⋊Q8C2311yescharacteristic
326C2×C22⋊Q8C2311yescharacteristic
327C2×C22⋊Q8C2311yescharacteristic
328C2×C22⋊Q8C2314yes—
329C2×C22⋊Q8C2312yes—
330C2×C22⋊Q8C2312yes—
331C2×C22⋊Q8C2311yescharacteristic
332C2×C22⋊Q8C2314yes—
333C2×C22⋊Q8C2314yes—
334C2×C22⋊Q8C2314yes—
335C2×C22⋊Q8C2312yes—
336C2×C22⋊Q8C2314yes—
337C2×C22⋊Q8C2314yes—
338C2×#121C2311yescharacteristic
339C2×#121C2311yescharacteristic
340C2×#120C2312yes—
341C2×C4×Q8C2311yescharacteristic
342C2×C4×Q8C2311yescharacteristic
343C2×C4×Q8C2312yes—
344C2×C4×Q8C2312yes—
345C2×C4×Q8C2312yes—
346C2×C4×Q8C2312yes—
347C2×C4×Q8C2314yes—
348C2×C4×D4—28no—
349C2×C4×D4C2311yescharacteristic
350C2×C4×D4C2312yes—
351C2×C4×D4C2312yes—
352C2×C4×D4C2312yes—
353C2×C4×D4C2311yescharacteristic
354C2×C4×D4C2312yes—
355C2×C4×D4C2311yescharacteristic
356C2×C4×D4C2311yescharacteristic
357C2×C4×D4C2312yes—
358C2×C4×D4C2312yes—
359C2×C4×D4C2312yes—
360C2×C4×D4C2312yes—
361C2×C4×D4C2314yes—
362C2×C4×D4C2311yescharacteristic
363C2×C4×D4C2311yescharacteristic
364C2×C4×D4C2314yes—
365C2×C4×D4C2311yescharacteristic
366C2×#117—48no—
367C2×#117C2312yes—
368C2×#117C2312yes—
369C2×#117C2311yescharacteristic
370C2×#117C2311yescharacteristic
371C2×#117C2312yes—
372C2×#117C2312yes—
373C2×#117C2314yes—
374C2×#117C2312yes—
375C2×#117C2314yes—
376C2×#117C2314yes—
377C22×C4⋊C4C2312yes—
378C22×C4⋊C4C2311yescharacteristic
379C22×C4⋊C4C2312yes—
380C22×C4⋊C4C2312yes—
381C22×C4⋊C4C2312yes—
382C22×C4⋊C4C2312yes—
383C22×C4⋊C4C2312yes—
384C22×C4⋊C4C2312yes—
385C22×C22⋊C4C2312yes—
386C22×C22⋊C4C2314yes—
387C22×C22⋊C4C2314yes—
388C22×C42C2311yescharacteristic
389C22×C42C2311yescharacteristic
390C22×C42C2314yes—
391#401C2314yes—
392#401C2312yes—
393#400C2314yes—
394#400C2314yes—
395#400C2314yes—
396#400C2314yes—
397#400C2314yes—
398#400C2314yes—
399#400C2314yes—
400#400C2314yes—
401#400C2312yes—
402#400C2312yes—
403#400C2314yes—
404#400C2314yes—
405#400C2314yes—
406#400C2314yes—
407#400C2314yes—
408#400C2314yes—
409#400C2314yes—
410#400C2314yes—
411#400C2314yes—
412#400C2312yes—
413#400C2312yes—
414#400C2314yes—
415#400C2312yes—
416#400C2312yes—
417#399C2314yes—
418#399C2314yes—
419#399C2312yes—
420#399C2314yes—
421#399C2314yes—
422#399C2314yes—
423#398C2314yes—
424#398C2314yes—
425#398C2314yes—
426#398C2314yes—
427#398C2314yes—
428#398C2314yes—
429#398C2312yes—
430#398C2312yes—
431#398C2314yes—
432#398C2314yes—
433#398C2314yes—
434#398C2314yes—
435#398C2314yes—
436#398C2314yes—
437#398C2314yes—
438#398C2314yes—
439#398C2314yes—
440#398C2314yes—
441#398C2314yes—
442#398C2314yes—
443#398C2314yes—
444#397C2312yes—
445#397C2314yes—
446#397C2312yes—
447#397C2314yes—
448#397C2314yes—
449#397C2314yes—
450#397C2314yes—
451#397C2314yes—
452#397C2312yes—
453#397C2314yes—
454#397C2312yes—
455#397C2312yes—
456#397C2312yes—
457#397C2314yes—
458#397C2312yes—
459#397C2312yes—
460#397C2312yes—
461#396C2314yes—
462#396C2314yes—
463#396C2312yes—
464#396C2314yes—
465#396C2314yes—
466#396C2314yes—
467#396C2314yes—
468#396C2312yes—
469#396C2312yes—
470#396C2314yes—
471#396C2314yes—
472#396C2314yes—
473#396C2314yes—
474#395C2314yes—
475#395C2314yes—
476#395C2314yes—
477#395C2314yes—
478#394C2314yes—
479#394C2312yes—
480#394C2312yes—
481#394C2312yes—
482#394C2312yes—
483#394C2312yes—
484#394C2312yes—
485#394C2312yes—
486#394C2314yes—
487#393C2314yes—
488#393C2314yes—
489#393C2314yes—
490#393C2312yes—
491#393C2312yes—
492#392C2312yes—
493#391C2314yes—
494#391C2312yes—
495#391C2312yes—
496#391C2311yescharacteristic
497#391C2312yes—
498#391C2312yes—
499#391C2311yescharacteristic
500#391C2314yes—
501#391C2311yescharacteristic
502#391C2312yes—
503#391C2312yes—
504#391C2314yes—
505#391C2312yes—
506#391C2312yes—
507#391C2312yes—
508#391C2314yes—
509#391C2311yescharacteristic
510#391C2311yescharacteristic
511#391C2311yescharacteristic
512#391C2312yes—
513#390C2312yes—
514#390C2311yescharacteristic
515#390C2311yescharacteristic
516#390C2311yescharacteristic
517#390C2312yes—
518#390C2312yes—
519#390C2312yes—
520#390C2311yescharacteristic
521#389C2311yescharacteristic
522#389C2312yes—
523#389C2312yes—
524#389C2311yescharacteristic
525#389C2312yes—
526#389C2314yes—
527#389C2311yescharacteristic
528#389C2312yes—
529#389C2312yes—
530#389C2312yes—
531#389C2312yes—
532#389C2312yes—
533#389C2312yes—
534#389C2312yes—
535#389C2311yescharacteristic
536#389C2314yes—
537#389C2314yes—
538#389C2312yes—
539#389C2312yes—
540#389C2311yescharacteristic
541#389C2314yes—
542#389C2314yes—
543#389C2312yes—
544#389C2314yes—
545#389C2312yes—
546#389C2312yes—
547#389C2312yes—
548#389C2312yes—
549#389C2312yes—
550#389C2314yes—
551#389C2314yes—
552#389C2314yes—
553#389C2314yes—
554#389C2311yescharacteristic
555#389C2312yes—
556#389C2314yes—
557#389C2312yes—
558#389C2314yes—
559#389C2312yes—
560#389C2311yescharacteristic
561#389C2312yes—
562#389C2312yes—
563#389C2312yes—
564#389C2312yes—
565#389C2312yes—
566#389C2312yes—
567#389C2312yes—
568#389C2311yescharacteristic
569#389C2311yescharacteristic
570#389C2312yes—
571#389C2311yescharacteristic
572#388C2312yes—
573#388C2312yes—
574#388C2312yes—
575#388C2314yes—
576#388C2314yes—
577#388C2314yes—
578#388C2314yes—
579#388C2314yes—
580#388C2314yes—
581#388C2314yes—
582#388C2314yes—
583#388C2314yes—
584#388C2314yes—
585#388C2314yes—
586#388C2314yes—
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2312yes—
593#388C2314yes—
594#388C2314yes—
595#388C2314yes—
596#388C2314yes—
597#388C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2312yes—
601#388C2314yes—
602#388C2312yes—
603#388C2312yes—
604#388C2312yes—
605#387C2312yes—
606#387C2312yes—
607#387C2312yes—
608#387C2314yes—
609#387C2314yes—
610#387C2314yes—
611#387C2314yes—
612#387C2314yes—
613#387C2314yes—
614#387C2314yes—
615#387C2314yes—
616#387C2312yes—
617#387C2314yes—
618#387C2314yes—
619#387C2314yes—
620#387C2314yes—
621#387C2314yes—
622#387C2314yes—
623#387C2314yes—
624#387C2314yes—
625#387C2312yes—
626#387C2314yes—
627#387C2314yes—
628#387C2314yes—
629#387C2314yes—
630#387C2312yes—
631#387C2312yes—
632#387C2314yes—
633#387C2314yes—
634#387C2314yes—
635#387C2314yes—
636#387C2314yes—
637#387C2314yes—
638#387C2314yes—
639#387C2314yes—
640#387C2314yes—
641#387C2312yes—
642#387C2312yes—
643#387C2312yes—
644#387C2314yes—
645#387C2312yes—
646#387C2312yes—
647#386C2314yes—
648#386C2312yes—
649#386C2314yes—
650#386C2314yes—
651#386C2314yes—
652#386C2314yes—
653#386C2314yes—
654#386C2314yes—
655#386C2312yes—
656#386C2312yes—
657#386C2312yes—
658#385C2314yes—
659#385C2314yes—
660#385C2314yes—
661#385C2314yes—
662#385C2314yes—
663#385C2314yes—
664#385C2314yes—
665#385C2314yes—
666#385C2314yes—
667#385C2314yes—
668#385C2314yes—
669#385C2314yes—
670#385C2314yes—
671#385C2314yes—
672#385C2314yes—
673#385C2314yes—
674#385C2314yes—
675#385C2312yes—
676#385C2314yes—
677#385C2314yes—
678#385C2314yes—
679#385C2312yes—
680#385C2312yes—
681#385C2312yes—
682#385C2312yes—
683#385C2312yes—
684#384C2312yes—
685#384C2311yescharacteristic
686#384C2311yescharacteristic
687#384C2312yes—
688#384C2312yes—
689#384C2314yes—
690#384C2312yes—
691#384C2311yescharacteristic
692#384C2312yes—
693#384C2311yescharacteristic
694#384C2312yes—
695#384C2312yes—
696#383C2312yes—
697#383C2314yes—
698#383C2314yes—
699#383C2312yes—
700#382C2312yes—
701#382C2312yes—
702#382C2311yescharacteristic
703#382C2311yescharacteristic
704#382C2312yes—
705#382C2311yescharacteristic
706#382C2314yes—
707#382C2312yes—
708#382C2314yes—
709#382C2314yes—
710#381C2314yes—
711#381C2314yes—
712#381C2312yes—
713#381C2314yes—
714#381C2314yes—
715#381C2312yes—
716#381C2314yes—
717#381C2312yes—
718#381C2314yes—
719#380C2311yescharacteristic
720#380C2312yes—
721#380C2312yes—
722#380C2312yes—
723#380C2312yes—
724#380C2312yes—
725#380C2312yes—
726#380C2314yes—
727#380C2314yes—
728#380C2314yes—
729#380C2314yes—
730#380C2312yes—
731#380C2314yes—
732#380C2312yes—
733#380C2312yes—
734#380C2312yes—
735#380C2312yes—
736#380C2314yes—
737#380C2312yes—
738#380C2314yes—
739#380C2312yes—
740#380C2312yes—
741#380C2314yes—
742#380C2312yes—
743#380C2311yescharacteristic
744#380C2312yes—
745#380C2314yes—
746#380C2312yes—
747#380C2311yescharacteristic
748#380C2311yescharacteristic
749#380C2311yescharacteristic
750#380C2312yes—
751#380C2314yes—
752#380C2311yescharacteristic
753#379C2312yes—
754#379C2314yes—
755#379C2314yes—
756#379C2312yes—
757#379C2312yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2311yescharacteristic
763C4×C4⋊C4C2311yescharacteristic
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2314yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2314yes—
774C4×C4⋊C4C2314yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2311yescharacteristic
781C4×C4⋊C4C2311yescharacteristic
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2311yescharacteristic
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2311yescharacteristic
786C4×C4⋊C4C2311yescharacteristic
787C4×C22⋊C4C2311yescharacteristic
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2314yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2311yescharacteristic
804C4×C22⋊C4C2311yescharacteristic
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2311yescharacteristic
808C4×C22⋊C4C2311yescharacteristic
809C4×C22⋊C4C2311yescharacteristic
810#376C2312yes—
811#376C2312yes—
812#376C2312yes—
813C2×#95C2314yes—
814C43C2312yes—
815C43C2311yescharacteristic
816C25C2412yes—
817C22×Q8C2411yescharacteristic
818C22×Q8C2411yescharacteristic
819C22×Q8C2414yes—
820C22×Q8C2412yes—
821C22×Q8C2412yes—
822C22×D4—24no—
823C22×D4—24no—
824C22×D4—42no—
825C22×D4C2411yescharacteristic
826C22×D4C2412yes—
827C22×D4C2412yes—
828C22×D4C2412yes—
829C22×D4C2411yescharacteristic
830C22×D4C2411yescharacteristic
831C23×C4—28no—
832C23×C4—28no—
833C23×C4—44no—
834C23×C4C2411yescharacteristic
835C23×C4C2412yes—
836C23×C4C2411yescharacteristic
837C23×C4C2411yescharacteristic
838C23×C4C2412yes—
839C23×C4C2411yescharacteristic
840C23×C4C2412yes—
841C23×C4C2412yes—
842C23×C4C2412yes—
843C23×C4C2411yescharacteristic
844C23×C4C2411yescharacteristic
845C23×C4C2414yes—
846C23×C4C2414yes—
847C23×C4C2414yes—
848C23×C4C2414yes—
849C23×C4C2414yes—
850C4⋊Q8—24no—
851C4⋊Q8—28no—
852C4⋊Q8—24no—
853C4⋊Q8—44no—
854C4⋊Q8—48no—
855#126—28no—
856#126—44no—
857#125—24no—
858#125—28no—
859#125—48no—
860#125—44no—
861#125—44no—
862#125—48no—
863#124—24no—
864#124—24no—
865#123—28no—
866#123—48no—
867#123—48no—
868C22⋊Q8—28no—
869C22⋊Q8—24no—
870C22⋊Q8—24no—
871C22⋊Q8—24no—
872C22⋊Q8—216no—
873C22⋊Q8—44no—
874C22⋊Q8—48no—
875C22⋊Q8—48no—
876C22⋊Q8—48no—
877C22⋊Q8—42no—
878C22⋊Q8—44no—
879C22⋊Q8—48no—
880C22⋊Q8—82no—
881C22⋊Q8—84no—
882C22⋊Q8—84no—
883#121—24no—
884#121—24no—
885#120—44no—
886C4×Q8—24no—
887C4×Q8—24no—
888C4×Q8—44no—
889C4×Q8—44no—
890C4×Q8—44no—
891C4×Q8—82no—
892C4×Q8—84no—
893C4×D4—24no—
894C4×D4—28no—
895C4×D4—28no—
896C4×D4—28no—
897C4×D4—28no—
898C4×D4—24no—
899C4×D4—24no—
900C4×D4—28no—
901C4×D4—24no—
902C4×D4—44no—
903C4×D4—44no—
904C4×D4—42no—
905C4×D4—44no—
906C4×D4—48no—
907C4×D4—42no—
908C4×D4—84no—
909C4×D4#4118yes—
910#117—28no—
911#117—24no—
912#117—24no—
913#117—28no—
914#117—44no—
915#117—48no—
916#117—48no—
917#117—44no—
918#117—44no—
919#117—84no—
920C2×C4⋊C4—28no—
921C2×C4⋊C4—24no—
922C2×C4⋊C4—28no—
923C2×C4⋊C4—44no—
924C2×C4⋊C4—44no—
925C2×C4⋊C4—44no—
926C2×C4⋊C4—44no—
927C2×C4⋊C4—82no—
928C2×C4⋊C4C2411yescharacteristic
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2411yescharacteristic
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2411yescharacteristic
933C2×C4⋊C4C2414yes—
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2411yescharacteristic
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2414yes—
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2411yescharacteristic
944C2×C4⋊C4C2411yescharacteristic
945C2×C4⋊C4C2414yes—
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2411yescharacteristic
950C2×C4⋊C4C2411yescharacteristic
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2411yescharacteristic
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2414yes—
957C2×C4⋊C4C2411yescharacteristic
958C2×C4⋊C4C2411yescharacteristic
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2414yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2414yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2414yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2414yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2411yescharacteristic
974C2×C4⋊C4C2411yescharacteristic
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2414yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2414yes—
988C2×C4⋊C4C2414yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2414yes—
993C2×C4⋊C4C2414yes—
994C2×C4⋊C4C2414yes—
995C2×C4⋊C4C2414yes—
996C2×C4⋊C4C2414yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2414yes—
1001C2×C4⋊C4C2411yescharacteristic
1002C2×C4⋊C4C2411yescharacteristic
1003C2×C22⋊C4—28no—
1004C2×C22⋊C4—48no—
1005C2×C22⋊C4—84no—
1006C2×C22⋊C4C2412yes—
1007C2×C22⋊C4C2414yes—
1008C2×C22⋊C4C2412yes—
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2414yes—
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2412yes—
1018C2×C22⋊C4C2411yescharacteristic
1019C2×C22⋊C4C2411yescharacteristic
1020C2×C22⋊C4C2411yescharacteristic
1021C2×C22⋊C4C2414yes—
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2414yes—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2414yes—
1031C2×C22⋊C4C2414yes—
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2414yes—
1034C2×C22⋊C4C2414yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2414yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2411yescharacteristic
1044C2×C22⋊C4C2411yescharacteristic
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2411yescharacteristic
1047C2×C22⋊C4C2414yes—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2412yes—
1057C2×C42—24no—
1058C2×C42—24no—
1059C2×C42—48no—
1060C2×C42C2412yes—
1061C2×C42C2411yescharacteristic
1062C2×C42C2414yes—
1063C2×C42C2411yescharacteristic
1064C2×C42C2412yes—
1065C2×C42C2412yes—
1066C2×C42C2412yes—
1067C2×C42C2411yescharacteristic
1068C2×C42C2411yescharacteristic
1069C2×C42C2411yescharacteristic
1070C2×C42C2411yescharacteristic
1071C2×C42C2412yes—
1072C2×C42C2412yes—
1073C2×C42C2412yes—
1074C2×C42C2412yes—
1075C2×C42C2411yescharacteristic
1076C2×C42C2411yescharacteristic
1077C2×C42C2411yescharacteristic
1078C2×C42C2411yescharacteristic
1079C2×C42C2414yes—
1080C2×C42C2414yes—
1081C2×C42C2414yes—
1082C2×C42C2414yes—
1083C2×C42C2414yes—
1084C2×C42C2414yes—
1085C2×C42C2411yescharacteristic
1086C2×C42C2412yes—
1087C2×C42C2411yescharacteristic
1088C2×C42C2414yes—
1089C2×C42C2412yes—
1090C2×C42C2411yescharacteristic
1091#95C2412yes—
1092#95C2414yes—
1093#95C2414yes—
1094#95C2414yes—
1095#95C2412yes—
1096#95C2412yes—
1097#95C2412yes—
1098#95C2412yes—
1099#95C2412yes—
1100#95C2412yes—
1101#95C2412yes—
1102#95C2412yes—
1103#95C2412yes—
1104#95C2412yes—
1105#95C2412yes—
1106#95C2412yes—
1107#95C2411yescharacteristic
1108#95C2411yescharacteristic
1109#95C2414yes—
1110#95C2414yes—
1111#95C2414yes—
1112#95C2411yescharacteristic
1113#95C2412yes—
1114#95C2411yescharacteristic
1115#95C2411yescharacteristic
1116#95C2411yescharacteristic
1117#95C2412yes—
1118#95C2412yes—
1119#95C2412yes—
1120#95C2412yes—
1121#95C2412yes—
1122#95C2414yes—
1123#95C2414yes—
1124#95C2412yes—
1125#95C2412yes—
1126#95C2414yes—
1127#95C2414yes—
1128#95C2414yes—
1129#95C2412yes—
1130#95C2412yes—
1131#95C2412yes—
1132#95C2414yes—
1133#95C2412yes—
1134#95C2412yes—
1135#95C2412yes—
1136#95C2412yes—
1137#95C2412yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2414yes—
1141#95C2412yes—
1142#95C2414yes—
1143#95C2412yes—
1144#95C2414yes—
1145#95C2414yes—
1146#95C2414yes—
1147#95C2414yes—
1148#95C2414yes—
1149#95C2412yes—
1150#95C2412yes—
1151#95C2414yes—
1152#95C2414yes—
1153#95C2412yes—
1154#95C2412yes—
1155#95C2414yes—
1156#95C2412yes—
1157#95C2412yes—
1158#95C2412yes—
1159#95C2414yes—
1160#95C2414yes—
1161#95C2414yes—
1162#95C2414yes—
1163#95C2414yes—
1164#95C2414yes—
1165#95C2414yes—
1166#95C2414yes—
1167#95C2414yes—
1168#95C2414yes—
1169C24—24no—
1170C24—24no—
1171C24—24no—
1172C24—42no—
1173C24—42no—
1174C24—42no—
1175C24—42no—
1176C24C2512yes—
1177C24C2511yescharacteristic
1178C24C2512yes—
1179C24C2511yescharacteristic
1180C2×Q8—22no—
1181C2×Q8—22no—
1182C2×Q8—24no—
1183C2×Q8—22no—
1184C2×Q8—28no—
1185C2×Q8—24no—
1186C2×Q8—22no—
1187C2×Q8—22no—
1188C2×Q8—22no—
1189C2×Q8—42no—
1190C2×Q8—42no—
1191C2×Q8—44no—
1192C2×Q8—42no—
1193C2×Q8—42no—
1194C2×Q8—44no—
1195C2×D4—24no—
1196C2×D4—24no—
1197C2×D4—22no—
1198C2×D4—24no—
1199C2×D4—24no—
1200C2×D4—22no—
1201C2×D4—24no—
1202C2×D4—24no—
1203C2×D4—22no—
1204C2×D4—22no—
1205C2×D4—22no—
1206C2×D4—22no—
1207C2×D4—42no—
1208C2×D4—41no—
1209C2×D4—42no—
1210C2×D4—42no—
1211C2×D4—416no—
1212C2×D4C2×#4114yes—
1213C2×D42−1+414yes—
1214C22×C4—22no—
1215C22×C4—24no—
1216C22×C4—22no—
1217C22×C4—24no—
1218C22×C4—24no—
1219C22×C4—24no—
1220C22×C4—22no—
1221C22×C4—28no—
1222C22×C4—28no—
1223C22×C4—22no—
1224C22×C4—22no—
1225C22×C4—22no—
1226C22×C4—22no—
1227C22×C4—24no—
1228C22×C4—24no—
1229C22×C4—24no—
1230C22×C4—24no—
1231C22×C4—22no—
1232C22×C4—22no—
1233C22×C4—22no—
1234C22×C4—24no—
1235C22×C4—24no—
1236C22×C4—24no—
1237C22×C4—22no—
1238C22×C4—22no—
1239C22×C4—22no—
1240C22×C4—22no—
1241C22×C4—28no—
1242C22×C4—42no—
1243C22×C4—41no—
1244C22×C4—42no—
1245C22×C4—42no—
1246C22×C4—432no—
1247C22×C4—44no—
1248C22×C4—44no—
1249C22×C4—44no—
1250C22×C4—41no—
1251C22×C4—41no—
1252C22×C4—44no—
1253C22×C4—44no—
1254C22×C4—44no—
1255C22×C4—44no—
1256C22×C4—44no—
1257C22×C4—44no—
1258C22×C4—44no—
1259C22×C4—44no—
1260C22×C4—44no—
1261C22×C4C2×#4118yes—
1262C22×C42−1+414yes—
1263C22×C4C2511yescharacteristic
1264C22×C4C2511yescharacteristic
1265C22×C4C2512yes—
1266C22×C4C2512yes—
1267C22×C4C2511yescharacteristic
1268C22×C4C2511yescharacteristic
1269C22×C4C2512yes—
1270C22×C4C2512yes—
1271C22×C4C2512yes—
1272C22×C4C2512yes—
1273C22×C4C2512yes—
1274C22×C4C2512yes—
1275C22×C4C2511yescharacteristic
1276C22×C4C2514yes—
1277C22×C4C2514yes—
1278C22×C4C2512yes—
1279C22×C4C2511yescharacteristic
1280C22×C4C2511yescharacteristic
1281C22×C4C2512yes—
1282C22×C4C2511yescharacteristic
1283C22×C4C2514yes—
1284C22×C4C2512yes—
1285C22×C4C2514yes—
1286C22×C4C2512yes—
1287C22×C4C2511yescharacteristic
1288C22×C4C2511yescharacteristic
1289C22×C4C2512yes—
1290C22×C4C2512yes—
1291C22×C4C2511yescharacteristic
1292C22×C4C2511yescharacteristic
1293C22×C4C2511yescharacteristic
1294C4⋊C4—22no—
1295C4⋊C4—24no—
1296C4⋊C4—22no—
1297C4⋊C4—28no—
1298C4⋊C4—24no—
1299C4⋊C4—24no—
1300C4⋊C4—24no—
1301C4⋊C4—24no—
1302C4⋊C4—24no—
1303C4⋊C4—22no—
1304C4⋊C4—24no—
1305C4⋊C4—24no—
1306C4⋊C4—28no—
1307C4⋊C4—24no—
1308C4⋊C4—28no—
1309C4⋊C4—22no—
1310C4⋊C4—24no—
1311C4⋊C4—22no—
1312C4⋊C4—24no—
1313C4⋊C4—28no—
1314C4⋊C4—24no—
1315C4⋊C4—24no—
1316C4⋊C4—22no—
1317C4⋊C4—22no—
1318C4⋊C4—22no—
1319C4⋊C4—24no—
1320C4⋊C4—22no—
1321C4⋊C4—22no—
1322C4⋊C4—24no—
1323C4⋊C4—24no—
1324C4⋊C4—24no—
1325C4⋊C4—22no—
1326C4⋊C4—44no—
1327C4⋊C4—44no—
1328C4⋊C4—44no—
1329C4⋊C4—44no—
1330C4⋊C4—42no—
1331C4⋊C4—42no—
1332C4⋊C4—44no—
1333C4⋊C4—42no—
1334C4⋊C4—42no—
1335C4⋊C4—42no—
1336C4⋊C4—44no—
1337C4⋊C4—41no—
1338C4⋊C4—41no—
1339C4⋊C4—42no—
1340C4⋊C4—44no—
1341C4⋊C4—42no—
1342C4⋊C4—42no—
1343C4⋊C4—42no—
1344C4⋊C4—44no—
1345C4⋊C4—44no—
1346C4⋊C4—42no—
1347C4⋊C4—44no—
1348C4⋊C4—44no—
1349C4⋊C4—44no—
1350C4⋊C4—42no—
1351C4⋊C4—42no—
1352C4⋊C4—44no—
1353C4⋊C4—44no—
1354C4⋊C4—44no—
1355C4⋊C4—44no—
1356C4⋊C4—44no—
1357C4⋊C4—44no—
1358C4⋊C4—42no—
1359C4⋊C4—44no—
1360C4⋊C4—44no—
1361C4⋊C4—44no—
1362C4⋊C4—44no—
1363C4⋊C4—42no—
1364C4⋊C4—42no—
1365C4⋊C4—42no—
1366C4⋊C4—44no—
1367C4⋊C4C2×#4114yes—
1368C4⋊C4H(5,𝔽2)14yes—
1369C22⋊C4—24no—
1370C22⋊C4—24no—
1371C22⋊C4—24no—
1372C22⋊C4—28no—
1373C22⋊C4—24no—
1374C22⋊C4—24no—
1375C22⋊C4—22no—
1376C22⋊C4—28no—
1377C22⋊C4—24no—
1378C22⋊C4—24no—
1379C22⋊C4—24no—
1380C22⋊C4—24no—
1381C22⋊C4—22no—
1382C22⋊C4—28no—
1383C22⋊C4—24no—
1384C22⋊C4—24no—
1385C22⋊C4—24no—
1386C22⋊C4—24no—
1387C22⋊C4—24no—
1388C22⋊C4—24no—
1389C22⋊C4—28no—
1390C22⋊C4—24no—
1391C22⋊C4—22no—
1392C22⋊C4—44no—
1393C22⋊C4—44no—
1394C22⋊C4—42no—
1395C22⋊C4—44no—
1396C22⋊C4—44no—
1397C22⋊C4—44no—
1398C22⋊C4—42no—
1399C22⋊C4—42no—
1400C22⋊C4—42no—
1401C22⋊C4—44no—
1402C22⋊C4—44no—
1403C22⋊C4—44no—
1404C22⋊C4—41no—
1405C22⋊C4—41no—
1406C22⋊C4—41no—
1407C22⋊C4—42no—
1408C22⋊C4—42no—
1409C22⋊C4—44no—
1410C22⋊C4—42no—
1411C22⋊C4—42no—
1412C22⋊C4—42no—
1413C22⋊C4—42no—
1414C22⋊C4—42no—
1415C22⋊C4—42no—
1416C22⋊C4—42no—
1417C22⋊C4—44no—
1418C22⋊C4—44no—
1419C22⋊C4C2×#4118yes—
1420C42—22no—
1421C42—22no—
1422C42—22no—
1423C42—22no—
1424C42—22no—
1425C42—22no—
1426C42—24no—
1427C42—24no—
1428C42—24no—
1429C42—28no—
1430C42—22no—
1431C42—24no—
1432C42—24no—
1433C42—22no—
1434C42—24no—
1435C42—22no—
1436C42—24no—
1437C42—22no—
1438C42—24no—
1439C42—44no—
1440C42—44no—
1441C42—44no—
1442C42—44no—
1443C42—41no—
1444C42—44no—
1445C42—44no—
1446C42—44no—
1447C42—41no—
1448C42—42no—
1449C42—42no—
1450C42C2×#4114yes—
1451C23—21no—
1452C23—22no—
1453C23—21no—
1454C23—22no—
1455C23—21no—
1456C23—21no—
1457C23—22no—
1458C23—21no—
1459C23—22no—
1460C23—22no—
1461C23—21no—
1462C23—21no—
1463C23—22no—
1464C23—21no—
1465C23—22no—
1466C23—22no—
1467C23—21no—
1468C23—22no—
1469C23—22no—
1470C23—21no—
1471C23—22no—
1472C23—21no—
1473C23—22no—
1474C23—21no—
1475C23—48no—
1476C23—48no—
1477C23—48no—
1478C23—84no—
1479C23—84no—
1480C23—84no—
1481C23—84no—
1482C23C22×#4114yes—
1483C23C2×2−1+412yes—
1484C23C2×2−1+414yes—
1485C23#58512yes—
1486C23C2611yescharacteristic
1487Q8—44no—
1488Q8—44no—
1489Q8—84no—
1490Q8—88no—
1491Q8—84no—
1492D4—28no—
1493D4—28no—
1494D4—44no—
1495D4—48no—
1496D4—48no—
1497D4—48no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—22no—
1501C2×C4—22no—
1502C2×C4—22no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—22no—
1506C2×C4—28no—
1507C2×C4—216no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—22no—
1514C2×C4—22no—
1515C2×C4—22no—
1516C2×C4—22no—
1517C2×C4—22no—
1518C2×C4—24no—
1519C2×C4—22no—
1520C2×C4—22no—
1521C2×C4—24no—
1522C2×C4—22no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—24no—
1526C2×C4—22no—
1527C2×C4—21no—
1528C2×C4—22no—
1529C2×C4—24no—
1530C2×C4—22no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—22no—
1534C2×C4—21no—
1535C2×C4—22no—
1536C2×C4—22no—
1537C2×C4—21no—
1538C2×C4—22no—
1539C2×C4—21no—
1540C2×C4—22no—
1541C2×C4—22no—
1542C2×C4—24no—
1543C2×C4—21no—
1544C2×C4—22no—
1545C2×C4—22no—
1546C2×C4—22no—
1547C2×C4—21no—
1548C2×C4—22no—
1549C2×C4—22no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—22no—
1553C2×C4—21no—
1554C2×C4—22no—
1555C2×C4—22no—
1556C2×C4—21no—
1557C2×C4—22no—
1558C2×C4—21no—
1559C2×C4—24no—
1560C2×C4—22no—
1561C2×C4—24no—
1562C2×C4—24no—
1563C2×C4—22no—
1564C2×C4—22no—
1565C2×C4—22no—
1566C2×C4—22no—
1567C2×C4—24no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—22no—
1572C2×C4—21no—
1573C2×C4—24no—
1574C2×C4—22no—
1575C2×C4—22no—
1576C2×C4—21no—
1577C2×C4—21no—
1578C2×C4—24no—
1579C2×C4—24no—
1580C2×C4—22no—
1581C2×C4—22no—
1582C2×C4—21no—
1583C2×C4—48no—
1584C2×C4—44no—
1585C2×C4—48no—
1586C2×C4—48no—
1587C2×C4—44no—
1588C2×C4—44no—
1589C2×C4—44no—
1590C2×C4—48no—
1591C2×C4—82no—
1592C2×C4—88no—
1593C2×C4—88no—
1594C2×C4—88no—
1595C2×C4—164no—
1596C2×C4—164no—
1597C2×C4C22×#4112yes—
1598C2×C4C22×#4114yes—
1599C2×C4C22×#4112yes—
1600C2×C4C22×#4112yes—
1601C2×C4C2×H(5,𝔽2)14yes—
1602C2×C4C2×H(5,𝔽2)12yes—
1603C2×C4C2×2−1+412yes—
1604C2×C4C2×2−1+412yes—
1605C2×C4C2×2−1+412yes—
1606C2×C4#58512yes—
1607C22—22no—
1608C22—22no—
1609C22—22no—
1610C22—24no—
1611C22—24no—
1612C22—22no—
1613C22—22no—
1614C22—24no—
1615C22—24no—
1616C22—24no—
1617C22—22no—
1618C22—24no—
1619C22—42no—
1620C22—42no—
1621C22—41no—
1622C22—42no—
1623C22—42no—
1624C22—41no—
1625C22—42no—
1626C22—41no—
1627C22—41no—
1628C22—41no—
1629C22—42no—
1630C22—41no—
1631C22—42no—
1632C22—41no—
1633C22—41no—
1634C22—42no—
1635C22—816no—
1636C22C23×#4111yescharacteristic
1637C22C22×H(5,𝔽2)11yescharacteristic
1638C22C22×2−1+411yescharacteristic
1639C22C22×2−1+411yescharacteristic
1640C22C2×#58511yescharacteristic
1641C22C2×#58511yescharacteristic
1642C22H(7,𝔽2)11yescharacteristic
1643C4—22no—
1644C4—22no—
1645C4—24no—
1646C4—24no—
1647C4—42no—
1648C4—42no—
1649C4—41no—
1650C4—41no—
1651C4—41no—
1652C4—42no—
1653C4—44no—
1654C4—42no—
1655C4—41no—
1656C4—44no—
1657C4—42no—
1658C4—42no—
1659C4—41no—
1660C4—42no—
1661C4—42no—
1662C4—41no—
1663C4—41no—
1664C4—42no—
1665C4—44no—
1666C4—44no—
1667C4—42no—
1668C4—42no—
1669C4—41no—
1670C4—41no—
1671C4—42no—
1672C4#349514yes—
1673C4#352014yes—
1674C2—42no—
1675C2—44no—
1676C2—44no—
1677C2—42no—
1678C2#6275211yescharacteristic
1679C2C2×#352011yescharacteristic
1680C2C2×#349511yescharacteristic
1681C2#6292011yescharacteristic
1682C2#6294511yescharacteristic
1683C2#6300811yescharacteristic
1684C2#6301511yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#2408C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59503C2semidirect
2. #59429C2semidirect
3. #59314C2semidirect
4. #59259C2semidirect
5. #59206C2semidirect
6. #49954C2semidirect
7. #48350C2semidirect
8. #46170C2semidirect
10. #45252C2semidirect
11. #45109C2semidirect
12. #45081C2semidirect
13. #42956C2semidirect
14. #42948C2semidirect
15. #42637C2semidirect
16. #42636C2semidirect
17. #39370C2semidirect
18. #38977C2semidirect
19. #38932C2semidirect
20. #38921C2semidirect
21. #38772C2semidirect
22. #38224C2semidirect
23. #37856C2semidirect
24. #36516C2semidirect
25. #36480C2semidirect
26. #36452C2semidirect
27. #36189C2semidirect
28. #36154C2semidirect
29. #35253C2semidirect
30. #35176C2semidirect
31. #34803C2semidirect
33. #34484C2semidirect
34. #34384C2semidirect
35. D4×#117C2semidirect
37. C2×#554C22semidirect
38. C2×#544C22semidirect
42. #2863C22semidirect
43. #2859C22semidirect
45. #2857C22semidirect
46. #2857C22semidirect
47. #2855C22semidirect
48. #2851C22semidirect
50. #2839C22semidirect
51. #2839C22semidirect
52. #2794C22semidirect
53. #2788C22semidirect
54. #2770C22semidirect
56. #2765C22semidirect
57. #2765C22semidirect
58. #2764C22semidirect
59. #2762C22semidirect
62. #2747C22semidirect
66. #2744C22semidirect
69. #2739C22semidirect
73. #2729C22semidirect
74. #2729C22semidirect
76. #2720C22semidirect
77. #2719C22semidirect
78. #2704C22semidirect
79. #2698C22semidirect
80. #2695C22semidirect
82. #2690C22semidirect
83. #2687C22semidirect
84. #2680C22semidirect
85. #2667C22semidirect
86. #2667C22semidirect
87. #2655C22semidirect
88. #2652C22semidirect
89. #2647C22semidirect
90. #2645C22semidirect
92. #2629C22semidirect
94. #2625C22semidirect
95. #2605C22semidirect
96. #2599C22semidirect
97. #2585C22semidirect
98. #2582C22semidirect
99. #2581C22semidirect
100. #2578C22semidirect
101. #2577C22semidirect
102. #2573C22semidirect
103. #2573C22semidirect
104. #2570C22semidirect
105. #2570C22semidirect
106. #2567C22semidirect
107. #2565C22semidirect
109. #2562C22semidirect
111. #2553C22semidirect
112. #2552C22semidirect
113. #2552C22semidirect
114. #2551C22semidirect
115. #2546C22semidirect
120. #2536C22semidirect
123. #2533C22semidirect
124. #2527C22semidirect
126. #2522C22semidirect
127. #2522C22semidirect
128. #2517C22semidirect
129. #2515C22semidirect
130. #2514C22semidirect
131. #2511C22semidirect
132. #2509C22semidirect
133. #2509C22semidirect
134. #2508C22semidirect
135. #2508C22semidirect
136. #2507C22semidirect
137. #2507C22semidirect
138. #2506C22semidirect
139. #2506C22semidirect
140. #2503C22semidirect
145. #2497C22semidirect
146. #2497C22semidirect
147. #2496C22semidirect
148. #2495C22semidirect
149. #2495C22semidirect
150. #2494C22semidirect
151. #2493C22semidirect
153. #2492C22semidirect
154. #2489C22semidirect
155. #2489C22semidirect
158. #2487C22semidirect
159. #2486C22semidirect
160. #2486C22semidirect
166. #2477C22semidirect
168. #2475C22semidirect
172. #2465C22semidirect
174. #2460C22semidirect
180. #2449C22semidirect
186. #2442C22semidirect
187. #2442C22semidirect
188. #2442C22semidirect
189. #2442C22semidirect
192. #2440C22semidirect
193. #2440C22semidirect
194. #2440C22semidirect
197. #2439C22semidirect
198. #2438C22semidirect
199. #2438C22semidirect
204. #2429C22semidirect
208. #2423C22semidirect
209. #2423C22semidirect
218. #2415C22semidirect
224. #2383C22semidirect
225. #2378C22semidirect
226. #2370C22semidirect
227. #2369C22semidirect
229. #2365C22semidirect
231. #2362C22semidirect
234. #2360C22semidirect
235. #2360C22semidirect
236. #2359C22semidirect
237. #2355C22semidirect
238. #2355C22semidirect
245. #2352C22semidirect
246. Q8×C4⋊C4C22semidirect
247. Q8×C4⋊C4C22semidirect
252. D4×C4⋊C4C22semidirect
254. #2345C22semidirect
255. #2345C22semidirect
257. #2344C22semidirect
261. #2330C22semidirect
262. #2330C22semidirect
264. #2323C22semidirect
265. #2323C22semidirect
266. #2322C22semidirect
270. #2317C22semidirect
271. #2317C22semidirect
272. #2316C22semidirect
273. #2314C22semidirect
274. C4×C4⋊Q8C22semidirect
275. C4×C4⋊Q8C22semidirect
276. C4×C4⋊Q8C22semidirect
277. C4×#126C22semidirect
281. C4×C22⋊Q8C22semidirect
282. C4×#123C22semidirect
285. #2295C22semidirect
286. #2295C22semidirect
291. C2×#384C22semidirect
292. #2283C22semidirect

Maximal subgroups

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

subgroupindex
#595032
#594292
#593142
#592592
#592062
#499542
#483502
#461702
#453772
#452522
#451092
#450812
#429562
#429482
#426372
#426362
#393702
#389772
#389322
#389212
#387722
#382242
#378562
#365162
#364802
#364522
#361892
#361542
#352532
#351762
#348032
#347002
#344842
#343842
D4×#1172