Finite Group Databasebeta

← #7878786

Subgroups — #7878786

Order 512.

5383 conjugacy classes of subgroups.

The subgroup lattice has 1810 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59827C211yesmaximal, characteristic, complemented
2#59414C212yesmaximal, complemented
3#59313C211yesmaximal, characteristic, complemented
4#59220C211yesmaximal, characteristic, complemented
5#59199C212yesmaximal, complemented
6#51457C214yesmaximal, complemented
7#48065C214yesmaximal, complemented
8#46497C214yesmaximal, complemented
9#45374C212yesmaximal, complemented
10#45353C212yesmaximal, complemented
11#45115C212yesmaximal, complemented
12#45022C212yesmaximal, complemented
13#44342C214yesmaximal, complemented
14#42957C212yesmaximal, complemented
15#42541C212yesmaximal, complemented
16#39934C212yesmaximal, complemented
17#39652C212yesmaximal, complemented
18#39471C211yesmaximal, characteristic, complemented
19#39191C211yesmaximal, characteristic, complemented
20#39064C212yesmaximal, complemented
21#38964C211yesmaximal, characteristic, complemented
22#38940C211yesmaximal, characteristic, complemented
23#37839C212yesmaximal, complemented
24#36449C211yesmaximal, characteristic, complemented
25#36189C211yesmaximal, characteristic, complemented
26#36153C211yesmaximal, characteristic, complemented
27#35912C212yesmaximal, complemented
28#35682C212yesmaximal, complemented
29#35595C212yesmaximal, complemented
30#35516C212yesmaximal, complemented
31#34800C211yesmaximal, characteristic, complemented
32#34681C211yesmaximal, characteristic, complemented
33#34480C211yesmaximal, characteristic, complemented
34#34207C211yesmaximal, characteristic, complemented
35#34194C211yesmaximal, characteristic, complemented
36C2×#559C2212yes—
37C2×#547C2211yescharacteristic
38C2×#547C2212yes—
39C2×#547C2212yescomplemented
40C2×#546C2212yes—
41C2×#532C2211yescharacteristic
42C2×#525C2212yes—
43C2×#520C2212yescomplemented
44C22×C4×D4C2211yescharacteristic
45#2863C2212yescomplemented
46#2859C2211yescharacteristic, complemented
47#2857C2211yescharacteristic
48#2857C2211yescharacteristic, complemented
49#2847C2212yes—
50#2836C2214yescomplemented
51#2799C2214yescomplemented
52#2790C2214yescomplemented
53#2782C2214yescomplemented
54#2775C2214yescomplemented
55#2763C2214yescomplemented
56#2761C2214yescomplemented
57#2757C2214yescomplemented
58#2753C2214yescomplemented
59#2751C2214yescomplemented
60#2749C2214yescomplemented
61#2748C2214yes—
62#2742C2214yes—
63#2740C2214yescomplemented
64#2740C2214yescomplemented
65#2738C2214yescomplemented
66#2737C2214yes—
67#2737C2214yescomplemented
68#2724C2214yescomplemented
69#2720C2214yescomplemented
70#2711C2214yescomplemented
71#2710C2214yescomplemented
72#2708C2214yes—
73#2706C2214yes—
74#2706C2214yescomplemented
75#2703C2214yes—
76#2703C2214yescomplemented
77#2697C2214yes—
78#2696C2214yescomplemented
79#2693C2214yes—
80#2692C2214yes—
81#2687C2214yes—
82#2680C2214yescomplemented
83#2670C2214yes—
84#2666C2214yescomplemented
85#2663C2214yescomplemented
86#2648C2214yes—
87#2640C2212yescomplemented
88#2630C2214yescomplemented
89#2628C2212yescomplemented
90#2624C2212yescomplemented
91#2615C2212yescomplemented
92#2602C2214yescomplemented
93#2600C2214yescomplemented
94#2598C2214yes—
95#2595C2214yescomplemented
96#2582C2212yescomplemented
97#2580C2212yes—
98#2578C2214yescomplemented
99#2573C2214yescomplemented
100#2572C2214yescomplemented
101#2571C2211yescharacteristic, complemented
102#2570C2212yescomplemented
103#2567C2212yescomplemented
104#2564C2214yescomplemented
105#2564C2214yescomplemented
106#2563C2212yes—
107#2557C2214yes—
108#2557C2214yescomplemented
109#2557C2214yescomplemented
110#2551C2211yescharacteristic, complemented
111#2547C2211yescharacteristic
112#2547C2211yescharacteristic, complemented
113#2547C2212yescomplemented
114#2540C2212yescomplemented
115#2539C2214yes—
116#2537C2211yescharacteristic
117#2537C2211yescharacteristic, complemented
118#2535C2212yes—
119#2535C2212yes—
120#2532C2212yescomplemented
121#2530C2214yescomplemented
122#2526C2212yes—
123#2523C2214yescomplemented
124#2518C2214yescomplemented
125#2518C2212yescomplemented
126#2513C2211yescharacteristic, complemented
127#2511C2212yescomplemented
128#2508C2212yescomplemented
129#2508C2211yescharacteristic, complemented
130#2507C2212yescomplemented
131#2505C2214yescomplemented
132#2505C2214yescomplemented
133#2500C2211yescharacteristic, complemented
134#2497C2211yescharacteristic
135#2497C2212yes—
136#2497C2212yescomplemented
137#2495C2212yescomplemented
138#2495C2212yescomplemented
139#2495C2212yescomplemented
140#2495C2212yescomplemented
141#2492C2212yes—
142#2492C2212yescomplemented
143#2491C2211yescharacteristic
144#2488C2214yescomplemented
145#2487C2212yes—
146#2487C2212yes—
147#2487C2212yes—
148#2487C2212yescomplemented
149#2487C2212yescomplemented
150#2486C2212yes—
151#2486C2212yescomplemented
152#2486C2212yescomplemented
153#2486C2212yescomplemented
154#2486C2212yescomplemented
155#2485C2212yes—
156#2485C2211yescharacteristic
157#2485C2212yescomplemented
158#2485C2212yescomplemented
159#2472C2212yes—
160#2465C2214yescomplemented
161#2464C2214yes—
162#2464C2212yes—
163#2463C2214yescomplemented
164#2461C2212yes—
165#2459C2212yes—
166#2458C2214yescomplemented
167#2456C2214yes—
168#2452C2211yescharacteristic
169#2452C2212yes—
170#2447C2212yes—
171#2447C2212yescomplemented
172#2447C2214yescomplemented
173#2445C2211yescharacteristic
174#2442C2212yescomplemented
175#2441C2212yes—
176#2440C2211yescharacteristic
177#2440C2212yescomplemented
178#2440C2212yescomplemented
179#2440C2212yescomplemented
180#2439C2212yescomplemented
181#2439C2212yescomplemented
182#2439C2211yescharacteristic, complemented
183#2437C2214yes—
184#2433C2211yescharacteristic
185#2431C2212yes—
186#2430C2214yescomplemented
187#2428C2212yes—
188#2428C2211yescharacteristic
189#2427C2212yes—
190#2427C2212yes—
191#2426C2212yes—
192#2425C2214yes—
193#2424C2212yes—
194#2423C2214yes—
195#2423C2212yes—
196#2422C2212yes—
197#2422C2211yescharacteristic
198#2422C2214yescomplemented
199#2422C2212yescomplemented
200#2422C2214yescomplemented
201#2421C2214yescomplemented
202#2421C2212yescomplemented
203#2420C2214yes—
204#2419C2214yescomplemented
205#2419C2214yescomplemented
206#2418C2214yes—
207#2418C2214yes—
208#2417C2212yes—
209#2417C2212yes—
210#2416C2211yescharacteristic
211#2416C2212yes—
212#2416C2212yescomplemented
213#2414C2211yescharacteristic
214#2414C2212yescomplemented
215#2414C2212yescomplemented
216#2412C2214yes—
217#2408C2211yescharacteristic
218#2407C2212yes—
219#2407C2214yes—
220#2406C2214yescomplemented
221#2404C2214yes—
222#2398C2212yescomplemented
223#2392C2212yes—
224#2392C2212yes—
225#2388C2212yes—
226#2388C2214yescomplemented
227#2376C2214yescomplemented
228#2365C2211yescharacteristic, complemented
229#2363C2212yescomplemented
230#2361C2212yes—
231#2361C2212yescomplemented
232#2361C2214yescomplemented
233#2361C2212yescomplemented
234#2361C2212yescomplemented
235#2360C2212yescomplemented
236#2360C2212yescomplemented
237#2358C2214yes—
238#2354C2211yescharacteristic
239#2354C2211yescharacteristic
240#2354C2211yescharacteristic, complemented
241#2354C2212yescomplemented
242#2352C2212yes—
243#2352C2212yes—
244#2352C2212yes—
245#2352C2212yescomplemented
246D4×C4⋊C4C2211yescharacteristic
247D4×C4⋊C4C2211yescharacteristic
248D4×C4⋊C4C2211yescharacteristic
249D4×C4⋊C4C2212yescomplemented
250D4×C4⋊C4C2212yescomplemented
251D4×C4⋊C4C2211yescharacteristic, complemented
252D4×C4⋊C4C2211yescharacteristic, complemented
253#2345C2212yes—
254#2345C2212yescomplemented
255#2345C2212yescomplemented
256#2345C2212yescomplemented
257#2342C2214yes—
258#2341C2212yes—
259#2339C2212yes—
260D4×C22⋊C4C2212yes—
261#2337C2214yes—
262#2335C2214yescomplemented
263#2326C2214yescomplemented
264#2324C2212yes—
265#2324C2212yescomplemented
266#2323C2212yescomplemented
267#2320C2212yescomplemented
268#2319C2212yes—
269#2318C2214yes—
270#2317C2212yescomplemented
271#2316C2212yescomplemented
272#2311C2212yes—
273#2311C2212yescomplemented
274#2311C2212yescomplemented
275C4×C4⋊Q8C2212yescomplemented
276C4×C4⋊Q8C2211yescharacteristic, complemented
277C4×C4⋊Q8C2211yescharacteristic, complemented
278C4×#127C2212yes—
279C4×#127C2211yescharacteristic
280C4×#124C2212yes—
281C4×#124C2212yes—
282C4×#121C2211yescharacteristic
283C4×#121C2211yescharacteristic
284C4×#121C2211yescharacteristic
285C4×#121C2211yescharacteristic, complemented
286C4×#120C2212yes—
287#2298C2212yescomplemented
288#2293C2211yescharacteristic
289#2293C2211yescharacteristic, complemented
290#2285C2211yescharacteristic
291C2×#384C2211yescharacteristic, complemented
292#2283C2211yescharacteristic
293#2280C2212yes—
294C2×#380C2212yes—
295C2×#380C2212yes—
296#2275C2212yes—
297C42×D4C2211yescharacteristic
298C4×#117C2211yescharacteristic, complemented
299C22×#41C2312yes—
300C22×#41C2312yes—
301C22×#41C2314yes—
302C23×D4C2311yescharacteristic
303C24×C4C2312yes—
304#559—48no—
305#547—28no—
306#547—48no—
307#547—48no—
308#546—48no—
309#532—28no—
310C2×C4⋊Q8C2311yescharacteristic
311C2×C4⋊Q8C2311yescharacteristic
312C2×C4⋊Q8C2311yescharacteristic
313C2×C4⋊Q8C2312yes—
314C2×C4⋊Q8C2312yes—
315C2×#127C2311yescharacteristic
316C2×#127C2311yescharacteristic
317C2×#125C2312yes—
318C2×#124C2312yes—
319C2×#124C2312yes—
320C2×#124C2312yes—
321C2×#124C2312yes—
322C2×#124C2314yes—
323#525—48no—
324C2×#123C2314yes—
325C2×#123C2314yes—
326C2×#123C2314yes—
327C2×#123C2314yes—
328C2×#123C2312yes—
329C2×#123C2312yes—
330C2×#123C2314yes—
331C2×#123C2314yes—
332C2×#123C2314yes—
333C2×#123C2314yes—
334C2×C22⋊Q8C2312yes—
335C2×C22⋊Q8C2314yes—
336C2×C22⋊Q8C2312yes—
337C2×C22⋊Q8C2312yes—
338C2×C22⋊Q8C2312yes—
339C2×C22⋊Q8C2312yes—
340C2×C22⋊Q8C2314yes—
341C2×C22⋊Q8C2314yes—
342C2×#121C2312yes—
343C2×#121C2312yes—
344C2×#121C2311yescharacteristic
345C2×#121C2311yescharacteristic
346C2×#121C2311yescharacteristic
347C2×#121C2312yes—
348C2×#121C2311yescharacteristic
349C2×#121C2311yescharacteristic
350C2×#121C2312yes—
351C2×#121C2312yes—
352C2×#121C2312yes—
353C2×#121C2314yes—
354C2×#121C2312yes—
355C2×#121C2312yes—
356C2×#121C2311yescharacteristic
357C2×#121C2314yes—
358C2×#120C2312yes—
359C2×#120C2314yes—
360C2×#120C2312yes—
361C2×#120C2312yes—
362#520—48no—
363C2×C4×Q8C2312yes—
364C2×C4×Q8C2314yes—
365C2×C4×Q8C2312yes—
366C2×C4×Q8C2312yes—
367C2×C4×D4—28no—
368C2×C4×D4C2311yescharacteristic
369C2×C4×D4C2311yescharacteristic
370C2×C4×D4C2312yes—
371C2×C4×D4C2311yescharacteristic
372C2×C4×D4C2312yes—
373C2×C4×D4C2312yes—
374C2×C4×D4C2311yescharacteristic
375C2×C4×D4C2312yes—
376C2×C4×D4C2311yescharacteristic
377C2×C4×D4C2312yes—
378C2×C4×D4C2311yescharacteristic
379C2×C4×D4C2311yescharacteristic
380C2×C4×D4C2312yes—
381C2×C4×D4C2314yes—
382C2×C4×D4C2312yes—
383C2×C4×D4C2312yes—
384C2×C4×D4C2312yes—
385C2×C4×D4C2312yes—
386C2×C4×D4C2314yes—
387C2×C4×D4C2312yes—
388C2×C4×D4C2312yes—
389C2×C4×D4C2314yes—
390C2×C4×D4C2314yes—
391C2×C4×D4C2311yescharacteristic
392C2×C4×D4C2312yes—
393C2×C4×D4C2312yes—
394C2×C4×D4C2314yes—
395C2×C4×D4C2314yes—
396C2×C4×D4C2311yescharacteristic
397C2×#117C2311yescharacteristic
398C2×#117C2312yes—
399C2×#117C2311yescharacteristic
400C2×#117C2312yes—
401C2×#117C2312yes—
402C2×#117C2312yes—
403C2×#117C2312yes—
404C2×#117C2312yes—
405C22×C4⋊C4C2312yes—
406C22×C4⋊C4C2312yes—
407C22×C4⋊C4C2311yescharacteristic
408C22×C4⋊C4C2312yes—
409C22×C4⋊C4C2312yes—
410C22×C4⋊C4C2312yes—
411C22×C4⋊C4C2312yes—
412C22×C4⋊C4C2312yes—
413C22×C4⋊C4C2312yes—
414C22×C4⋊C4C2312yes—
415C22×C22⋊C4C2312yes—
416C22×C22⋊C4C2314yes—
417C22×C22⋊C4C2314yes—
418C22×C42C2311yescharacteristic
419C22×C42C2311yescharacteristic
420#400C2312yes—
421#400C2314yes—
422#400C2314yes—
423#400C2314yes—
424#400C2314yes—
425#400C2314yes—
426#400C2314yes—
427#400C2314yes—
428#400C2312yes—
429#400C2314yes—
430#400C2314yes—
431#400C2314yes—
432#399C2314yes—
433#399C2314yes—
434#399C2314yes—
435#399C2314yes—
436#399C2314yes—
437#398C2314yes—
438#398C2312yes—
439#398C2314yes—
440#398C2314yes—
441#398C2314yes—
442#398C2314yes—
443#398C2314yes—
444#398C2312yes—
445#398C2314yes—
446#398C2314yes—
447#397C2314yes—
448#397C2314yes—
449#397C2314yes—
450#397C2314yes—
451#397C2314yes—
452#397C2314yes—
453#397C2314yes—
454#397C2314yes—
455#397C2314yes—
456#397C2314yes—
457#397C2312yes—
458#397C2312yes—
459#397C2314yes—
460#397C2314yes—
461#397C2312yes—
462#397C2312yes—
463#397C2314yes—
464#397C2314yes—
465#397C2314yes—
466#397C2314yes—
467#396C2312yes—
468#396C2312yes—
469#396C2314yes—
470#396C2314yes—
471#396C2312yes—
472#396C2312yes—
473#396C2314yes—
474#396C2314yes—
475#396C2314yes—
476#395C2314yes—
477#395C2314yes—
478#395C2314yes—
479#395C2312yes—
480#395C2314yes—
481#394C2312yes—
482#394C2314yes—
483#394C2314yes—
484#394C2314yes—
485#394C2312yes—
486#394C2314yes—
487#394C2312yes—
488#394C2314yes—
489#394C2312yes—
490#394C2312yes—
491#394C2312yes—
492#394C2314yes—
493#394C2312yes—
494#394C2312yes—
495#394C2312yes—
496#394C2312yes—
497#394C2314yes—
498#394C2312yes—
499#394C2314yes—
500#394C2314yes—
501#394C2314yes—
502#393C2314yes—
503#393C2314yes—
504#393C2312yes—
505#393C2314yes—
506#393C2314yes—
507#393C2314yes—
508#393C2314yes—
509#393C2312yes—
510#393C2312yes—
511#392C2314yes—
512#392C2314yes—
513#392C2314yes—
514#392C2314yes—
515#392C2314yes—
516#392C2312yes—
517#392C2312yes—
518#392C2312yes—
519#392C2314yes—
520#392C2312yes—
521#392C2312yes—
522#391C2312yes—
523#391C2314yes—
524#391C2312yes—
525#391C2312yes—
526#391C2314yes—
527#391C2314yes—
528#391C2314yes—
529#391C2312yes—
530#391C2312yes—
531#391C2312yes—
532#391C2312yes—
533#391C2314yes—
534#391C2312yes—
535#390C2312yes—
536#390C2314yes—
537#390C2311yescharacteristic
538#390C2312yes—
539#390C2314yes—
540#390C2311yescharacteristic
541#390C2312yes—
542#390C2312yes—
543#390C2314yes—
544#390C2311yescharacteristic
545#390C2314yes—
546#390C2312yes—
547#390C2314yes—
548#390C2311yescharacteristic
549#390C2314yes—
550#390C2311yescharacteristic
551#390C2314yes—
552#390C2311yescharacteristic
553#390C2311yescharacteristic
554#390C2311yescharacteristic
555#390C2314yes—
556#390C2312yes—
557#390C2311yescharacteristic
558#390C2311yescharacteristic
559#389C2312yes—
560#389C2312yes—
561#389C2311yescharacteristic
562#389C2312yes—
563#389C2314yes—
564#389C2311yescharacteristic
565#389C2312yes—
566#389C2312yes—
567#389C2311yescharacteristic
568#389C2312yes—
569#389C2312yes—
570#389C2312yes—
571#389C2312yes—
572#389C2312yes—
573#389C2311yescharacteristic
574#389C2314yes—
575#389C2312yes—
576#389C2314yes—
577#389C2312yes—
578#389C2312yes—
579#389C2312yes—
580#389C2312yes—
581#389C2312yes—
582#389C2311yescharacteristic
583#389C2312yes—
584#389C2311yescharacteristic
585#389C2312yes—
586#389C2314yes—
587#389C2311yescharacteristic
588#389C2312yes—
589#389C2312yes—
590#389C2312yes—
591#389C2311yescharacteristic
592#389C2314yes—
593#389C2311yescharacteristic
594#389C2311yescharacteristic
595#388C2314yes—
596#388C2314yes—
597#388C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2314yes—
601#388C2314yes—
602#388C2314yes—
603#388C2314yes—
604#388C2314yes—
605#388C2314yes—
606#388C2314yes—
607#388C2312yes—
608#388C2312yes—
609#388C2314yes—
610#388C2314yes—
611#388C2314yes—
612#388C2314yes—
613#388C2312yes—
614#388C2314yes—
615#388C2314yes—
616#388C2312yes—
617#388C2312yes—
618#388C2312yes—
619#388C2312yes—
620#388C2312yes—
621#388C2312yes—
622#388C2314yes—
623#388C2312yes—
624#388C2312yes—
625#388C2312yes—
626#388C2314yes—
627#388C2312yes—
628#388C2312yes—
629#388C2312yes—
630#388C2312yes—
631#387C2312yes—
632#387C2314yes—
633#387C2314yes—
634#387C2314yes—
635#387C2314yes—
636#387C2312yes—
637#387C2314yes—
638#387C2314yes—
639#387C2314yes—
640#387C2314yes—
641#387C2314yes—
642#387C2314yes—
643#387C2314yes—
644#387C2314yes—
645#387C2314yes—
646#387C2314yes—
647#387C2314yes—
648#387C2314yes—
649#387C2314yes—
650#387C2312yes—
651#387C2312yes—
652#386C2312yes—
653#386C2312yes—
654#386C2314yes—
655#386C2314yes—
656#386C2314yes—
657#386C2314yes—
658#386C2314yes—
659#386C2314yes—
660#386C2314yes—
661#386C2314yes—
662#386C2314yes—
663#386C2314yes—
664#386C2312yes—
665#386C2314yes—
666#386C2314yes—
667#386C2314yes—
668#386C2314yes—
669#386C2314yes—
670#386C2314yes—
671#386C2314yes—
672#386C2312yes—
673#386C2312yes—
674#386C2314yes—
675#386C2314yes—
676#386C2314yes—
677#386C2314yes—
678#386C2312yes—
679#386C2312yes—
680#385C2314yes—
681#385C2314yes—
682#385C2314yes—
683#385C2314yes—
684#385C2314yes—
685#385C2314yes—
686#385C2314yes—
687#385C2314yes—
688#385C2314yes—
689#385C2314yes—
690#385C2314yes—
691#385C2314yes—
692#385C2314yes—
693#385C2314yes—
694#385C2314yes—
695#385C2312yes—
696#385C2314yes—
697#385C2312yes—
698#385C2314yes—
699#385C2314yes—
700#385C2314yes—
701#385C2314yes—
702#385C2312yes—
703#384C2312yes—
704#384C2311yescharacteristic
705#384C2311yescharacteristic
706#384C2311yescharacteristic
707#384C2314yes—
708#384C2312yes—
709#384C2311yescharacteristic
710#384C2311yescharacteristic
711#384C2312yes—
712#383C2314yes—
713#383C2314yes—
714#383C2312yes—
715#383C2314yes—
716#382C2314yes—
717#382C2312yes—
718#382C2312yes—
719#382C2312yes—
720#382C2312yes—
721#382C2314yes—
722#382C2311yescharacteristic
723#382C2311yescharacteristic
724#382C2312yes—
725#381C2314yes—
726#381C2314yes—
727#381C2314yes—
728#381C2314yes—
729#381C2312yes—
730#381C2314yes—
731#380C2311yescharacteristic
732#380C2312yes—
733#380C2312yes—
734#380C2312yes—
735#380C2314yes—
736#380C2314yes—
737#380C2314yes—
738#380C2314yes—
739#380C2314yes—
740#380C2311yescharacteristic
741#380C2312yes—
742#380C2312yes—
743#380C2312yes—
744#380C2312yes—
745#380C2312yes—
746#380C2312yes—
747#380C2314yes—
748#380C2312yes—
749#380C2312yes—
750#380C2312yes—
751#380C2312yes—
752#380C2312yes—
753#380C2312yes—
754#380C2314yes—
755#380C2312yes—
756#380C2314yes—
757#380C2312yes—
758#380C2312yes—
759#380C2312yes—
760#380C2312yes—
761#380C2311yescharacteristic
762#380C2314yes—
763#380C2311yescharacteristic
764#380C2312yes—
765#380C2311yescharacteristic
766#380C2311yescharacteristic
767#380C2312yes—
768#379C2314yes—
769#379C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2314yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2311yescharacteristic
781C4×C4⋊C4C2311yescharacteristic
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2311yescharacteristic
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2311yescharacteristic
786C4×C4⋊C4C2311yescharacteristic
787C4×C4⋊C4C2311yescharacteristic
788C4×C4⋊C4C2311yescharacteristic
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2314yes—
801C4×C22⋊C4C2311yescharacteristic
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2314yes—
805C4×C22⋊C4C2311yescharacteristic
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2311yescharacteristic
810C4×C22⋊C4C2311yescharacteristic
811C4×C22⋊C4C2311yescharacteristic
812C4×C22⋊C4C2311yescharacteristic
813#376C2312yes—
814#376C2312yes—
815C2×#95C2314yes—
816C2×#95C2314yes—
817C43C2311yescharacteristic
818C43C2312yes—
819C25C2412yes—
820C2×#41—28no—
821C2×#41—28no—
822C2×#41—28no—
823C2×#41—44no—
824C2×#41—48no—
825C2×#41—48no—
826C2×#41—44no—
827C2×#41—44no—
828C2×#41—84no—
829C22×Q8C2412yes—
830C22×Q8C2412yes—
831C22×Q8C2412yes—
832C22×Q8C2414yes—
833C22×D4—24no—
834C22×D4—24no—
835C22×D4—42no—
836C22×D4C2411yescharacteristic
837C22×D4C2411yescharacteristic
838C22×D4C2411yescharacteristic
839C22×D4C2412yes—
840C22×D4C2412yes—
841C22×D4C2412yes—
842C22×D4C2412yes—
843C22×D4C2412yes—
844C22×D4C2412yes—
845C22×D4C2412yes—
846C22×D4C2411yescharacteristic
847C22×D4C2411yescharacteristic
848C22×D4C2412yes—
849C22×D4C2412yes—
850C22×D4C2412yes—
851C22×D4C2412yes—
852C22×D4C2414yes—
853C22×D4C2414yes—
854C22×D4C2414yes—
855C23×C4—28no—
856C23×C4—44no—
857C23×C4—44no—
858C23×C4C2412yes—
859C23×C4C2411yescharacteristic
860C23×C4C2412yes—
861C23×C4C2412yes—
862C23×C4C2411yescharacteristic
863C23×C4C2411yescharacteristic
864C23×C4C2411yescharacteristic
865C23×C4C2411yescharacteristic
866C23×C4C2412yes—
867C23×C4C2411yescharacteristic
868C23×C4C2414yes—
869C23×C4C2412yes—
870C23×C4C2414yes—
871C23×C4C2414yes—
872C23×C4C2412yes—
873C23×C4C2412yes—
874C23×C4C2414yes—
875C23×C4C2414yes—
876C23×C4C2414yes—
877C23×C4C2414yes—
878C4⋊Q8—24no—
879C4⋊Q8—24no—
880C4⋊Q8—42no—
881C4⋊Q8—44no—
882C4⋊Q8—44no—
883#127—24no—
884#127—24no—
885#125—82no—
886#124—28no—
887#124—28no—
888#124—28no—
889#124—44no—
890#124—48no—
891#123—216no—
892#123—48no—
893#123—44no—
894#123—48no—
895#123—48no—
896#123—48no—
897#123—48no—
898#123—48no—
899#123—48no—
900#123—44no—
901C22⋊Q8—28no—
902C22⋊Q8—48no—
903C22⋊Q8—48no—
904C22⋊Q8—44no—
905C22⋊Q8—44no—
906C22⋊Q8—44no—
907C22⋊Q8—44no—
908C22⋊Q8—84no—
909#121—24no—
910#121—28no—
911#121—24no—
912#121—28no—
913#121—24no—
914#121—24no—
915#121—28no—
916#121—44no—
917#121—44no—
918#121—48no—
919#121—44no—
920#121—42no—
921#121—44no—
922#121—42no—
923#121—44no—
924#121—84no—
925#120—28no—
926#120—44no—
927#120—48no—
928#120—44no—
929C4×Q8—44no—
930C4×Q8—44no—
931C4×Q8—48no—
932C4×Q8—44no—
933C4×D4—24no—
934C4×D4—28no—
935C4×D4—28no—
936C4×D4—28no—
937C4×D4—24no—
938C4×D4—28no—
939C4×D4—24no—
940C4×D4—28no—
941C4×D4—24no—
942C4×D4—24no—
943C4×D4—24no—
944C4×D4—24no—
945C4×D4—44no—
946C4×D4—48no—
947C4×D4—44no—
948C4×D4—44no—
949C4×D4—44no—
950C4×D4—42no—
951C4×D4—44no—
952C4×D4—44no—
953C4×D4—44no—
954C4×D4—44no—
955C4×D4—44no—
956C4×D4—48no—
957C4×D4—48no—
958C4×D4—48no—
959C4×D4—84no—
960C4×D4—84no—
961C4×D4#4118yescomplemented
962#117—24no—
963#117—44no—
964#117—44no—
965#117—42no—
966#117—44no—
967#117—44no—
968#117—44no—
969#117—82no—
970C2×C4⋊C4—28no—
971C2×C4⋊C4—28no—
972C2×C4⋊C4—24no—
973C2×C4⋊C4—44no—
974C2×C4⋊C4—44no—
975C2×C4⋊C4—44no—
976C2×C4⋊C4—44no—
977C2×C4⋊C4—44no—
978C2×C4⋊C4—44no—
979C2×C4⋊C4—82no—
980C2×C4⋊C4C2411yescharacteristic
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2411yescharacteristic
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2411yescharacteristic
986C2×C4⋊C4C2411yescharacteristic
987C2×C4⋊C4C2411yescharacteristic
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2411yescharacteristic
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2414yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2414yes—
995C2×C4⋊C4C2411yescharacteristic
996C2×C4⋊C4C2411yescharacteristic
997C2×C4⋊C4C2411yescharacteristic
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2411yescharacteristic
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2411yescharacteristic
1003C2×C4⋊C4C2411yescharacteristic
1004C2×C4⋊C4C2411yescharacteristic
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2414yes—
1008C2×C4⋊C4C2414yes—
1009C2×C4⋊C4C2414yes—
1010C2×C4⋊C4C2414yes—
1011C2×C4⋊C4C2414yes—
1012C2×C4⋊C4C2414yes—
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2414yes—
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2412yes—
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2412yes—
1020C2×C4⋊C4C2412yes—
1021C2×C4⋊C4C2412yes—
1022C2×C4⋊C4C2412yes—
1023C2×C4⋊C4C2412yes—
1024C2×C4⋊C4C2414yes—
1025C2×C4⋊C4C2412yes—
1026C2×C4⋊C4C2411yescharacteristic
1027C2×C4⋊C4C2412yes—
1028C2×C4⋊C4C2414yes—
1029C2×C4⋊C4C2412yes—
1030C2×C4⋊C4C2412yes—
1031C2×C4⋊C4C2414yes—
1032C2×C4⋊C4C2414yes—
1033C2×C4⋊C4C2414yes—
1034C2×C4⋊C4C2412yes—
1035C2×C4⋊C4C2414yes—
1036C2×C4⋊C4C2414yes—
1037C2×C4⋊C4C2414yes—
1038C2×C4⋊C4C2414yes—
1039C2×C4⋊C4C2412yes—
1040C2×C4⋊C4C2411yescharacteristic
1041C2×C22⋊C4—28no—
1042C2×C22⋊C4—48no—
1043C2×C22⋊C4—84no—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2414yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2411yescharacteristic
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2411yescharacteristic
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2414yes—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2411yescharacteristic
1060C2×C22⋊C4C2414yes—
1061C2×C22⋊C4C2412yes—
1062C2×C22⋊C4C2412yes—
1063C2×C22⋊C4C2412yes—
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2414yes—
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2412yes—
1070C2×C22⋊C4C2412yes—
1071C2×C22⋊C4C2414yes—
1072C2×C22⋊C4C2414yes—
1073C2×C22⋊C4C2414yes—
1074C2×C22⋊C4C2414yes—
1075C2×C22⋊C4C2414yes—
1076C2×C22⋊C4C2414yes—
1077C2×C22⋊C4C2412yes—
1078C2×C22⋊C4C2412yes—
1079C2×C22⋊C4C2412yes—
1080C2×C22⋊C4C2414yes—
1081C2×C22⋊C4C2412yes—
1082C2×C22⋊C4C2412yes—
1083C2×C22⋊C4C2412yes—
1084C2×C22⋊C4C2412yes—
1085C2×C22⋊C4C2412yes—
1086C2×C22⋊C4C2412yes—
1087C2×C22⋊C4C2414yes—
1088C2×C22⋊C4C2412yes—
1089C2×C22⋊C4C2412yes—
1090C2×C22⋊C4C2412yes—
1091C2×C22⋊C4C2414yes—
1092C2×C22⋊C4C2412yes—
1093C2×C22⋊C4C2414yes—
1094C2×C22⋊C4C2412yes—
1095C2×C22⋊C4C2414yes—
1096C2×C22⋊C4C2414yes—
1097C2×C22⋊C4C2411yescharacteristic
1098C2×C22⋊C4C2414yes—
1099C2×C22⋊C4C2411yescharacteristic
1100C2×C22⋊C4C2412yes—
1101C2×C22⋊C4C2412yes—
1102C2×C22⋊C4C2412yes—
1103C2×C22⋊C4C2414yes—
1104C2×C22⋊C4C2412yes—
1105C2×C22⋊C4C2412yes—
1106C2×C22⋊C4C2414yes—
1107C2×C22⋊C4C2414yes—
1108C2×C22⋊C4C2412yes—
1109C2×C22⋊C4C2414yes—
1110C2×C22⋊C4C2414yes—
1111C2×C22⋊C4C2412yes—
1112C2×C22⋊C4C2411yescharacteristic
1113C2×C42—24no—
1114C2×C42—24no—
1115C2×C42C2411yescharacteristic
1116C2×C42C2411yescharacteristic
1117C2×C42C2412yes—
1118C2×C42C2412yes—
1119C2×C42C2412yes—
1120C2×C42C2412yes—
1121C2×C42C2412yes—
1122C2×C42C2411yescharacteristic
1123C2×C42C2411yescharacteristic
1124C2×C42C2411yescharacteristic
1125C2×C42C2411yescharacteristic
1126C2×C42C2411yescharacteristic
1127C2×C42C2411yescharacteristic
1128C2×C42C2411yescharacteristic
1129C2×C42C2411yescharacteristic
1130C2×C42C2412yes—
1131C2×C42C2411yescharacteristic
1132C2×C42C2414yes—
1133C2×C42C2414yes—
1134C2×C42C2414yes—
1135C2×C42C2412yes—
1136C2×C42C2414yes—
1137C2×C42C2412yes—
1138C2×C42C2414yes—
1139C2×C42C2414yes—
1140C2×C42C2411yescharacteristic
1141C2×C42C2411yescharacteristic
1142#95C2412yes—
1143#95C2412yes—
1144#95C2414yes—
1145#95C2414yes—
1146#95C2414yes—
1147#95C2414yes—
1148#95C2414yes—
1149#95C2414yes—
1150#95C2412yes—
1151#95C2412yes—
1152#95C2412yes—
1153#95C2412yes—
1154#95C2412yes—
1155#95C2412yes—
1156#95C2412yes—
1157#95C2412yes—
1158#95C2412yes—
1159#95C2411yescharacteristic
1160#95C2411yescharacteristic
1161#95C2411yescharacteristic
1162#95C2411yescharacteristic
1163#95C2411yescharacteristic
1164#95C2411yescharacteristic
1165#95C2414yes—
1166#95C2412yes—
1167#95C2414yes—
1168#95C2414yes—
1169#95C2414yes—
1170#95C2414yes—
1171#95C2414yes—
1172#95C2412yes—
1173#95C2412yes—
1174#95C2412yes—
1175#95C2414yes—
1176#95C2412yes—
1177#95C2412yes—
1178#95C2414yes—
1179#95C2414yes—
1180#95C2412yes—
1181#95C2412yes—
1182#95C2414yes—
1183#95C2412yes—
1184#95C2412yes—
1185#95C2412yes—
1186#95C2414yes—
1187#95C2414yes—
1188#95C2414yes—
1189#95C2414yes—
1190#95C2414yes—
1191#95C2414yes—
1192#95C2414yes—
1193#95C2412yes—
1194#95C2412yes—
1195#95C2412yes—
1196#95C2412yes—
1197#95C2414yes—
1198#95C2414yes—
1199#95C2414yes—
1200#95C2414yes—
1201#95C2414yes—
1202#95C2414yes—
1203#95C2414yes—
1204C24—24no—
1205C24—24no—
1206C24—24no—
1207C24—42no—
1208C24—42no—
1209C24—42no—
1210C24—42no—
1211C24C2512yes—
1212C24C2512yes—
1213C24C2512yes—
1214C24C2512yes—
1215C24C2511yescharacteristic
1216C24C2511yescharacteristic
1217#41—432no—
1218#41—816no—
1219#41—832no—
1220C2×Q8—24no—
1221C2×Q8—24no—
1222C2×Q8—24no—
1223C2×Q8—24no—
1224C2×Q8—24no—
1225C2×Q8—24no—
1226C2×Q8—42no—
1227C2×Q8—42no—
1228C2×Q8—44no—
1229C2×Q8—44no—
1230C2×Q8—44no—
1231C2×Q8—42no—
1232C2×D4—24no—
1233C2×D4—24no—
1234C2×D4—24no—
1235C2×D4—24no—
1236C2×D4—22no—
1237C2×D4—24no—
1238C2×D4—24no—
1239C2×D4—24no—
1240C2×D4—24no—
1241C2×D4—24no—
1242C2×D4—24no—
1243C2×D4—24no—
1244C2×D4—22no—
1245C2×D4—28no—
1246C2×D4—28no—
1247C2×D4—24no—
1248C2×D4—24no—
1249C2×D4—24no—
1250C2×D4—22no—
1251C2×D4—22no—
1252C2×D4—22no—
1253C2×D4—24no—
1254C2×D4—22no—
1255C2×D4—24no—
1256C2×D4—22no—
1257C2×D4—22no—
1258C2×D4—24no—
1259C2×D4—24no—
1260C2×D4—22no—
1261C2×D4—22no—
1262C2×D4—22no—
1263C2×D4—22no—
1264C2×D4—42no—
1265C2×D4—41no—
1266C2×D4—42no—
1267C2×D4—42no—
1268C2×D4—42no—
1269C2×D4—42no—
1270C2×D4—42no—
1271C2×D4—42no—
1272C2×D4—42no—
1273C2×D4—42no—
1274C2×D4—42no—
1275C2×D4—42no—
1276C2×D4—42no—
1277C2×D4—44no—
1278C2×D4—44no—
1279C2×D4—44no—
1280C2×D4—42no—
1281C2×D4—44no—
1282C2×D4—42no—
1283C2×D4—44no—
1284C2×D4—42no—
1285C2×D4—44no—
1286C2×D4—44no—
1287C2×D4—416no—
1288C2×D4C2×#4114yes—
1289C2×D4H(5,𝔽2)14yes—
1290C22×C4—22no—
1291C22×C4—24no—
1292C22×C4—24no—
1293C22×C4—22no—
1294C22×C4—22no—
1295C22×C4—28no—
1296C22×C4—24no—
1297C22×C4—28no—
1298C22×C4—28no—
1299C22×C4—22no—
1300C22×C4—22no—
1301C22×C4—22no—
1302C22×C4—22no—
1303C22×C4—22no—
1304C22×C4—24no—
1305C22×C4—24no—
1306C22×C4—24no—
1307C22×C4—22no—
1308C22×C4—24no—
1309C22×C4—24no—
1310C22×C4—24no—
1311C22×C4—22no—
1312C22×C4—22no—
1313C22×C4—22no—
1314C22×C4—24no—
1315C22×C4—24no—
1316C22×C4—22no—
1317C22×C4—24no—
1318C22×C4—22no—
1319C22×C4—22no—
1320C22×C4—24no—
1321C22×C4—24no—
1322C22×C4—41no—
1323C22×C4—41no—
1324C22×C4—44no—
1325C22×C4—44no—
1326C22×C4—44no—
1327C22×C4—44no—
1328C22×C4—44no—
1329C22×C4—44no—
1330C22×C4—44no—
1331C22×C4—44no—
1332C22×C4—42no—
1333C22×C4—42no—
1334C22×C4—42no—
1335C22×C4—42no—
1336C22×C4—42no—
1337C22×C4—42no—
1338C22×C4—44no—
1339C22×C4—44no—
1340C22×C4—44no—
1341C22×C4—44no—
1342C22×C4—44no—
1343C22×C4—44no—
1344C22×C4—44no—
1345C22×C4—44no—
1346C22×C4—44no—
1347C22×C4—44no—
1348C22×C4—816no—
1349C22×C4C2×#4118yes—
1350C22×C4H(5,𝔽2)14yes—
1351C22×C4C2511yescharacteristic
1352C22×C4C2511yescharacteristic
1353C22×C4C2512yes—
1354C22×C4C2512yes—
1355C22×C4C2512yes—
1356C22×C4C2512yes—
1357C22×C4C2511yescharacteristic
1358C22×C4C2514yes—
1359C22×C4C2512yes—
1360C22×C4C2514yes—
1361C22×C4C2511yescharacteristic
1362C22×C4C2512yes—
1363C22×C4C2512yes—
1364C22×C4C2512yes—
1365C22×C4C2512yes—
1366C22×C4C2512yes—
1367C22×C4C2511yescharacteristic
1368C22×C4C2512yes—
1369C22×C4C2514yes—
1370C22×C4C2511yescharacteristic
1371C22×C4C2514yes—
1372C22×C4C2511yescharacteristic
1373C22×C4C2511yescharacteristic
1374C22×C4C2512yes—
1375C22×C4C2511yescharacteristic
1376C22×C4C2511yescharacteristic
1377C22×C4C2511yescharacteristic
1378C22×C4C2511yescharacteristic
1379C22×C4C2511yescharacteristic
1380C4⋊C4—22no—
1381C4⋊C4—24no—
1382C4⋊C4—22no—
1383C4⋊C4—24no—
1384C4⋊C4—28no—
1385C4⋊C4—24no—
1386C4⋊C4—22no—
1387C4⋊C4—24no—
1388C4⋊C4—24no—
1389C4⋊C4—24no—
1390C4⋊C4—28no—
1391C4⋊C4—22no—
1392C4⋊C4—24no—
1393C4⋊C4—22no—
1394C4⋊C4—22no—
1395C4⋊C4—24no—
1396C4⋊C4—22no—
1397C4⋊C4—24no—
1398C4⋊C4—22no—
1399C4⋊C4—22no—
1400C4⋊C4—22no—
1401C4⋊C4—24no—
1402C4⋊C4—22no—
1403C4⋊C4—22no—
1404C4⋊C4—24no—
1405C4⋊C4—22no—
1406C4⋊C4—44no—
1407C4⋊C4—44no—
1408C4⋊C4—44no—
1409C4⋊C4—44no—
1410C4⋊C4—44no—
1411C4⋊C4—44no—
1412C4⋊C4—42no—
1413C4⋊C4—44no—
1414C4⋊C4—42no—
1415C4⋊C4—42no—
1416C4⋊C4—42no—
1417C4⋊C4—42no—
1418C4⋊C4—42no—
1419C4⋊C4—42no—
1420C4⋊C4—42no—
1421C4⋊C4—41no—
1422C4⋊C4—42no—
1423C4⋊C4—42no—
1424C4⋊C4—42no—
1425C4⋊C4—42no—
1426C4⋊C4—42no—
1427C4⋊C4—44no—
1428C4⋊C4—44no—
1429C4⋊C4—42no—
1430C4⋊C4—42no—
1431C4⋊C4—44no—
1432C4⋊C4—44no—
1433C4⋊C4—44no—
1434C4⋊C4—44no—
1435C4⋊C4—42no—
1436C4⋊C4—44no—
1437C4⋊C4—44no—
1438C4⋊C4—44no—
1439C4⋊C4—42no—
1440C4⋊C4C2×#4114yes—
1441C22⋊C4—24no—
1442C22⋊C4—24no—
1443C22⋊C4—28no—
1444C22⋊C4—28no—
1445C22⋊C4—24no—
1446C22⋊C4—22no—
1447C22⋊C4—24no—
1448C22⋊C4—28no—
1449C22⋊C4—28no—
1450C22⋊C4—24no—
1451C22⋊C4—24no—
1452C22⋊C4—24no—
1453C22⋊C4—24no—
1454C22⋊C4—24no—
1455C22⋊C4—24no—
1456C22⋊C4—24no—
1457C22⋊C4—28no—
1458C22⋊C4—22no—
1459C22⋊C4—24no—
1460C22⋊C4—24no—
1461C22⋊C4—22no—
1462C22⋊C4—24no—
1463C22⋊C4—24no—
1464C22⋊C4—24no—
1465C22⋊C4—24no—
1466C22⋊C4—42no—
1467C22⋊C4—44no—
1468C22⋊C4—42no—
1469C22⋊C4—44no—
1470C22⋊C4—44no—
1471C22⋊C4—44no—
1472C22⋊C4—42no—
1473C22⋊C4—42no—
1474C22⋊C4—44no—
1475C22⋊C4—42no—
1476C22⋊C4—44no—
1477C22⋊C4—44no—
1478C22⋊C4—42no—
1479C22⋊C4—42no—
1480C22⋊C4—41no—
1481C22⋊C4—42no—
1482C22⋊C4—41no—
1483C22⋊C4—42no—
1484C22⋊C4—44no—
1485C22⋊C4—42no—
1486C22⋊C4—42no—
1487C22⋊C4—44no—
1488C22⋊C4—42no—
1489C22⋊C4—42no—
1490C22⋊C4—42no—
1491C22⋊C4—42no—
1492C22⋊C4—42no—
1493C22⋊C4—44no—
1494C22⋊C4—44no—
1495C22⋊C4—44no—
1496C22⋊C4—42no—
1497C22⋊C4—42no—
1498C22⋊C4—44no—
1499C22⋊C4—42no—
1500C22⋊C4—44no—
1501C22⋊C4—42no—
1502C22⋊C4—44no—
1503C22⋊C4—44no—
1504C22⋊C4—42no—
1505C22⋊C4—44no—
1506C22⋊C4—42no—
1507C22⋊C4—44no—
1508C22⋊C4C2×#4118yes—
1509C22⋊C42−1+414yes—
1510C42—22no—
1511C42—22no—
1512C42—22no—
1513C42—22no—
1514C42—22no—
1515C42—22no—
1516C42—24no—
1517C42—22no—
1518C42—24no—
1519C42—24no—
1520C42—24no—
1521C42—22no—
1522C42—22no—
1523C42—24no—
1524C42—22no—
1525C42—24no—
1526C42—22no—
1527C42—44no—
1528C42—42no—
1529C42—44no—
1530C42—44no—
1531C42—44no—
1532C42—44no—
1533C42—42no—
1534C42—44no—
1535C42—41no—
1536C42C2×#4114yes—
1537C23—22no—
1538C23—21no—
1539C23—21no—
1540C23—21no—
1541C23—22no—
1542C23—21no—
1543C23—22no—
1544C23—21no—
1545C23—22no—
1546C23—21no—
1547C23—22no—
1548C23—22no—
1549C23—21no—
1550C23—22no—
1551C23—21no—
1552C23—22no—
1553C23—22no—
1554C23—21no—
1555C23—21no—
1556C23—22no—
1557C23—21no—
1558C23—22no—
1559C23—21no—
1560C23—22no—
1561C23—22no—
1562C23—22no—
1563C23—22no—
1564C23—22no—
1565C23—22no—
1566C23—22no—
1567C23—22no—
1568C23—22no—
1569C23—22no—
1570C23—22no—
1571C23—22no—
1572C23—22no—
1573C23—22no—
1574C23—22no—
1575C23—48no—
1576C23—48no—
1577C23—48no—
1578C23—84no—
1579C23—84no—
1580C23—84no—
1581C23—84no—
1582C23C22×#4114yes—
1583C23C2×H(5,𝔽2)14yes—
1584C23C2×H(5,𝔽2)12yes—
1585C23C2×2−1+412yes—
1586C23C2611yescharacteristic
1587Q8—48no—
1588Q8—48no—
1589Q8—84no—
1590Q8—88no—
1591D4—28no—
1592D4—28no—
1593D4—48no—
1594D4—48no—
1595D4—48no—
1596D4—48no—
1597D4—44no—
1598D4—48no—
1599D4—48no—
1600D4—48no—
1601D4—48no—
1602D4—44no—
1603D4—44no—
1604D4—84no—
1605D4—84no—
1606D4—84no—
1607D4—88no—
1608D4—88no—
1609D4—88no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—22no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—22no—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—216no—
1621C2×C4—28no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—21no—
1625C2×C4—21no—
1626C2×C4—22no—
1627C2×C4—22no—
1628C2×C4—22no—
1629C2×C4—24no—
1630C2×C4—22no—
1631C2×C4—22no—
1632C2×C4—22no—
1633C2×C4—22no—
1634C2×C4—21no—
1635C2×C4—22no—
1636C2×C4—22no—
1637C2×C4—21no—
1638C2×C4—22no—
1639C2×C4—22no—
1640C2×C4—21no—
1641C2×C4—22no—
1642C2×C4—24no—
1643C2×C4—24no—
1644C2×C4—24no—
1645C2×C4—24no—
1646C2×C4—21no—
1647C2×C4—22no—
1648C2×C4—22no—
1649C2×C4—24no—
1650C2×C4—21no—
1651C2×C4—22no—
1652C2×C4—22no—
1653C2×C4—21no—
1654C2×C4—22no—
1655C2×C4—21no—
1656C2×C4—22no—
1657C2×C4—22no—
1658C2×C4—22no—
1659C2×C4—21no—
1660C2×C4—22no—
1661C2×C4—21no—
1662C2×C4—21no—
1663C2×C4—22no—
1664C2×C4—21no—
1665C2×C4—22no—
1666C2×C4—22no—
1667C2×C4—24no—
1668C2×C4—22no—
1669C2×C4—22no—
1670C2×C4—24no—
1671C2×C4—24no—
1672C2×C4—21no—
1673C2×C4—22no—
1674C2×C4—22no—
1675C2×C4—21no—
1676C2×C4—21no—
1677C2×C4—22no—
1678C2×C4—21no—
1679C2×C4—22no—
1680C2×C4—21no—
1681C2×C4—24no—
1682C2×C4—21no—
1683C2×C4—24no—
1684C2×C4—22no—
1685C2×C4—22no—
1686C2×C4—22no—
1687C2×C4—24no—
1688C2×C4—44no—
1689C2×C4—44no—
1690C2×C4—44no—
1691C2×C4—44no—
1692C2×C4—48no—
1693C2×C4—48no—
1694C2×C4—44no—
1695C2×C4—48no—
1696C2×C4—84no—
1697C2×C4—84no—
1698C2×C4—84no—
1699C2×C4—88no—
1700C2×C4—88no—
1701C2×C4—88no—
1702C2×C4—88no—
1703C2×C4—164no—
1704C2×C4—164no—
1705C2×C4—164no—
1706C2×C4C22×#4112yes—
1707C2×C4C22×#4114yes—
1708C2×C4C22×#4112yes—
1709C2×C4C22×#4112yes—
1710C2×C4C2×H(5,𝔽2)12yes—
1711C2×C4C2×H(5,𝔽2)12yes—
1712C2×C4C2×H(5,𝔽2)12yes—
1713C2×C4C2×2−1+412yes—
1714C2×C4C2×2−1+412yes—
1715C2×C4#58512yes—
1716C2×C4#58512yes—
1717C22—22no—
1718C22—24no—
1719C22—24no—
1720C22—22no—
1721C22—24no—
1722C22—22no—
1723C22—24no—
1724C22—24no—
1725C22—22no—
1726C22—22no—
1727C22—22no—
1728C22—24no—
1729C22—41no—
1730C22—42no—
1731C22—41no—
1732C22—42no—
1733C22—41no—
1734C22—42no—
1735C22—41no—
1736C22—41no—
1737C22—42no—
1738C22—42no—
1739C22—42no—
1740C22—41no—
1741C22—42no—
1742C22—41no—
1743C22—42no—
1744C22—41no—
1745C22—42no—
1746C22—42no—
1747C22—42no—
1748C22—42no—
1749C22—42no—
1750C22—42no—
1751C22—42no—
1752C22—42no—
1753C22—42no—
1754C22—42no—
1755C22—42no—
1756C22—42no—
1757C22—42no—
1758C22—42no—
1759C22—816no—
1760C22C23×#4111yescharacteristic
1761C22C22×H(5,𝔽2)11yescharacteristic
1762C22C22×H(5,𝔽2)11yescharacteristic
1763C22C22×2−1+411yescharacteristic
1764C22C2×#58511yescharacteristic
1765C22C2×#58511yescharacteristic
1766C22H(7,𝔽2)11yescharacteristic
1767C4—22no—
1768C4—22no—
1769C4—22no—
1770C4—24no—
1771C4—22no—
1772C4—41no—
1773C4—42no—
1774C4—42no—
1775C4—42no—
1776C4—41no—
1777C4—42no—
1778C4—41no—
1779C4—42no—
1780C4—41no—
1781C4—44no—
1782C4—42no—
1783C4—41no—
1784C4—42no—
1785C4—44no—
1786C4—42no—
1787C4—42no—
1788C4—44no—
1789C4—42no—
1790C4—41no—
1791C4—41no—
1792C4—42no—
1793C4—44no—
1794C4#349414yes—
1795C4#351314yes—
1796C2—42no—
1797C2—44no—
1798C2—44no—
1799C2—42no—
1800C2—82no—
1801C2—82no—
1802C2C2×#351311yescharacteristic
1803C2C2×#349411yescharacteristic
1804C2#6283511yescharacteristic
1805C2#6291211yescharacteristic
1806C2#6293811yescharacteristic
1807C2#6300011yescharacteristic
1808C2#6301311yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59827C2semidirect
2. #59414C2semidirect
3. #59313C2semidirect
4. #59220C2semidirect
5. #59199C2semidirect
6. #51457C2semidirect
7. #48065C2semidirect
8. #46497C2semidirect
9. #45374C2semidirect
10. #45353C2semidirect
11. #45115C2semidirect
12. #45022C2semidirect
13. #44342C2semidirect
14. #42957C2semidirect
15. #42541C2semidirect
16. #39934C2semidirect
17. #39652C2semidirect
18. #39471C2semidirect
19. #39191C2semidirect
20. #39064C2semidirect
21. #38964C2semidirect
22. #38940C2semidirect
23. #37839C2semidirect
24. #36449C2semidirect
25. #36189C2semidirect
26. #36153C2semidirect
27. #35912C2semidirect
28. #35682C2semidirect
29. #35595C2semidirect
30. #35516C2semidirect
31. #34800C2semidirect
32. #34681C2semidirect
33. #34480C2semidirect
34. #34207C2semidirect
35. #34194C2semidirect
39. C2×#547C22semidirect
43. C2×#520C22semidirect
45. #2863C22semidirect
46. #2859C22semidirect
48. #2857C22semidirect
50. #2836C22semidirect
51. #2799C22semidirect
52. #2790C22semidirect
53. #2782C22semidirect
54. #2775C22semidirect
55. #2763C22semidirect
56. #2761C22semidirect
57. #2757C22semidirect
58. #2753C22semidirect
59. #2751C22semidirect
60. #2749C22semidirect
63. #2740C22semidirect
64. #2740C22semidirect
65. #2738C22semidirect
67. #2737C22semidirect
68. #2724C22semidirect
69. #2720C22semidirect
70. #2711C22semidirect
71. #2710C22semidirect
74. #2706C22semidirect
76. #2703C22semidirect
78. #2696C22semidirect
82. #2680C22semidirect
84. #2666C22semidirect
85. #2663C22semidirect
87. #2640C22semidirect
88. #2630C22semidirect
89. #2628C22semidirect
90. #2624C22semidirect
91. #2615C22semidirect
92. #2602C22semidirect
93. #2600C22semidirect
95. #2595C22semidirect
96. #2582C22semidirect
98. #2578C22semidirect
99. #2573C22semidirect
100. #2572C22semidirect
101. #2571C22semidirect
102. #2570C22semidirect
103. #2567C22semidirect
104. #2564C22semidirect
105. #2564C22semidirect
108. #2557C22semidirect
109. #2557C22semidirect
110. #2551C22semidirect
112. #2547C22semidirect
113. #2547C22semidirect
114. #2540C22semidirect
117. #2537C22semidirect
120. #2532C22semidirect
121. #2530C22semidirect
123. #2523C22semidirect
124. #2518C22semidirect
125. #2518C22semidirect
126. #2513C22semidirect
127. #2511C22semidirect
128. #2508C22semidirect
129. #2508C22semidirect
130. #2507C22semidirect
131. #2505C22semidirect
132. #2505C22semidirect
133. #2500C22semidirect
136. #2497C22semidirect
137. #2495C22semidirect
138. #2495C22semidirect
139. #2495C22semidirect
140. #2495C22semidirect
142. #2492C22semidirect
144. #2488C22semidirect
148. #2487C22semidirect
149. #2487C22semidirect
151. #2486C22semidirect
152. #2486C22semidirect
153. #2486C22semidirect
154. #2486C22semidirect
157. #2485C22semidirect
158. #2485C22semidirect
160. #2465C22semidirect
163. #2463C22semidirect
166. #2458C22semidirect
171. #2447C22semidirect
172. #2447C22semidirect
174. #2442C22semidirect
177. #2440C22semidirect
178. #2440C22semidirect
179. #2440C22semidirect
180. #2439C22semidirect
181. #2439C22semidirect
182. #2439C22semidirect
186. #2430C22semidirect
198. #2422C22semidirect
199. #2422C22semidirect
200. #2422C22semidirect
201. #2421C22semidirect
202. #2421C22semidirect
204. #2419C22semidirect
205. #2419C22semidirect
212. #2416C22semidirect
214. #2414C22semidirect
215. #2414C22semidirect
220. #2406C22semidirect
222. #2398C22semidirect
226. #2388C22semidirect
227. #2376C22semidirect
228. #2365C22semidirect
229. #2363C22semidirect
231. #2361C22semidirect
232. #2361C22semidirect
233. #2361C22semidirect
234. #2361C22semidirect
235. #2360C22semidirect
236. #2360C22semidirect
240. #2354C22semidirect
241. #2354C22semidirect
245. #2352C22semidirect
249. D4×C4⋊C4C22semidirect
250. D4×C4⋊C4C22semidirect
251. D4×C4⋊C4C22semidirect
252. D4×C4⋊C4C22semidirect
254. #2345C22semidirect
255. #2345C22semidirect
256. #2345C22semidirect
262. #2335C22semidirect
263. #2326C22semidirect
265. #2324C22semidirect
266. #2323C22semidirect
267. #2320C22semidirect
270. #2317C22semidirect
271. #2316C22semidirect
273. #2311C22semidirect
274. #2311C22semidirect
275. C4×C4⋊Q8C22semidirect
276. C4×C4⋊Q8C22semidirect
277. C4×C4⋊Q8C22semidirect
285. C4×#121C22semidirect
287. #2298C22semidirect
289. #2293C22semidirect
291. C2×#384C22semidirect
298. C4×#117C22semidirect
961. C4×D4#41semidirect

Maximal subgroups

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

subgroupindex
#598272
#594142
#593132
#592202
#591992
#514572
#480652
#464972
#453742
#453532
#451152
#450222
#443422
#429572
#425412
#399342
#396522
#394712
#391912
#390642
#389642
#389402
#378392
#364492
#361892
#361532
#359122
#356822
#355952
#355162
#348002
#346812
#344802
#342072
#341942