Finite Group Databasebeta

← #7780321

Subgroups — #7780321

Order 512.

4943 conjugacy classes of subgroups.

The subgroup lattice has 1768 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59676C212yesmaximal, complemented
2#59257C211yesmaximal, characteristic, complemented
3#59242C211yesmaximal, characteristic, complemented
4#59220C212yesmaximal, complemented
5#59070C211yesmaximal, characteristic, complemented
6#59057C211yesmaximal, characteristic, complemented
7#50586C214yesmaximal, complemented
8#48310C214yesmaximal, complemented
9#47515C214yesmaximal, complemented
10#47088C214yesmaximal, complemented
11#45687C212yesmaximal, complemented
12#45663C212yesmaximal, complemented
13#45368C212yesmaximal, complemented
14#45358C212yesmaximal, complemented
15#42725C212yesmaximal, complemented
16#42592C212yesmaximal, complemented
17#40172C212yesmaximal, complemented
18#39926C212yesmaximal, complemented
19#39567C212yesmaximal, complemented
20#39480C211yesmaximal, characteristic, complemented
21#39436C212yesmaximal, complemented
22#39352C211yesmaximal, characteristic, complemented
23#39220C212yesmaximal, complemented
24#39199C212yesmaximal, complemented
25#37430C212yesmaximal, complemented
26#36587C211yesmaximal, characteristic, complemented
27#36580C211yesmaximal, characteristic, complemented
28#36544C211yesmaximal, characteristic, complemented
29#36493C211yesmaximal, characteristic, complemented
30#36275C211yesmaximal, characteristic, complemented
31#36193C211yesmaximal, characteristic, complemented
32#35292C211yesmaximal, characteristic, complemented
33#34952C211yesmaximal, characteristic, complemented
34#34418C212yesmaximal, complemented
35C4×#537C211yesmaximal, characteristic, complemented
36C2×#559C2211yescharacteristic
37C2×#554C2211yescharacteristic
38C2×#540C2212yes—
39C2×#537C2211yescharacteristic
40C2×#532C2211yescharacteristic
41C2×C4×#41C2211yescharacteristic
42C2×C4×#41C2211yescharacteristic
43C22×C4×Q8C2211yescharacteristic
44#2857C2211yescharacteristic
45#2857C2211yescharacteristic
46#2856C2211yescharacteristic
47#2856C2211yescharacteristic
48#2855C2212yes—
49#2855C2212yes—
50#2851C2212yes—
51#2850C2212yes—
52#2850C2212yes—
53#2850C2212yes—
54#2838C2214yes—
55#2824C2214yes—
56#2807C2214yes—
57#2801C2214yes—
58#2798C2214yes—
59#2797C2214yes—
60#2796C2214yes—
61#2787C2214yes—
62#2787C2214yes—
63#2784C2214yes—
64#2782C2214yes—
65#2782C2214yes—
66#2777C2214yes—
67#2773C2214yes—
68#2773C2214yes—
69#2771C2214yes—
70#2762C2214yes—
71#2760C2214yes—
72#2757C2214yes—
73#2752C2214yes—
74#2750C2214yes—
75#2749C2214yes—
76#2749C2214yes—
77#2748C2214yes—
78#2746C2214yes—
79#2746C2214yes—
80#2742C2214yes—
81#2738C2214yes—
82#2737C2214yes—
83#2737C2214yes—
84#2737C2214yes—
85#2730C2214yes—
86#2717C2214yes—
87#2711C2214yes—
88#2706C2214yes—
89#2706C2214yes—
90#2703C2214yes—
91#2690C2214yes—
92#2688C2214yes—
93#2688C2214yes—
94#2687C2214yes—
95#2671C2214yes—
96#2651C2214yes—
97#2649C2214yes—
98#2633C2214yes—
99#2625C2212yes—
100#2624C2212yes—
101#2624C2212yes—
102#2623C2214yes—
103#2615C2212yes—
104#2602C2214yes—
105#2598C2214yes—
106#2598C2214yes—
107#2597C2214yes—
108#2592C2212yes—
109#2592C2212yes—
110#2587C2214yes—
111#2584C2212yes—
112#2582C2211yescharacteristic
113#2582C2211yescharacteristic
114#2582C2211yescharacteristic
115#2581C2212yes—
116#2580C2212yes—
117#2580C2212yes—
118#2580C2212yes—
119#2580C2212yes—
120#2579C2212yes—
121#2579C2212yes—
122#2573C2214yes—
123#2571C2212yes—
124#2571C2211yescharacteristic
125#2570C2212yes—
126#2567C2211yescharacteristic
127#2567C2211yescharacteristic
128#2552C2211yescharacteristic
129#2548C2211yescharacteristic
130#2543C2214yes—
131#2541C2211yescharacteristic
132#2540C2212yes—
133#2540C2212yes—
134#2540C2212yes—
135#2538C2211yescharacteristic
136#2538C2211yescharacteristic
137#2538C2211yescharacteristic
138#2537C2212yes—
139#2535C2214yes—
140#2535C2212yes—
141#2535C2212yes—
142#2524C2214yes—
143#2523C2214yes—
144#2520C2214yes—
145#2514C2212yes—
146#2514C2212yes—
147#2514C2212yes—
148#2513C2212yes—
149#2513C2212yes—
150#2511C2212yes—
151#2510C2214yes—
152#2509C2212yes—
153#2508C2212yes—
154#2507C2212yes—
155#2506C2212yes—
156#2506C2212yes—
157#2504C2212yes—
158#2503C2212yes—
159#2501C2212yes—
160#2499C2212yes—
161#2495C2212yes—
162#2495C2212yes—
163#2495C2214yes—
164#2495C2212yes—
165#2495C2212yes—
166#2494C2212yes—
167#2490C2212yes—
168#2489C2212yes—
169#2488C2214yes—
170#2487C2211yescharacteristic
171#2487C2214yes—
172#2487C2212yes—
173#2487C2211yescharacteristic
174#2473C2214yes—
175#2471C2214yes—
176#2471C2214yes—
177#2471C2214yes—
178#2465C2214yes—
179#2464C2214yes—
180#2458C2214yes—
181#2456C2214yes—
182#2454C2214yes—
183#2454C2212yes—
184#2454C2212yes—
185#2453C2212yes—
186#2449C2214yes—
187#2449C2214yes—
188#2448C2212yes—
189#2448C2212yes—
190#2447C2212yes—
191#2447C2212yes—
192#2447C2212yes—
193#2445C2212yes—
194#2444C2214yes—
195#2443C2214yes—
196#2443C2214yes—
197#2442C2212yes—
198#2441C2212yes—
199#2438C2214yes—
200#2438C2214yes—
201#2436C2212yes—
202#2431C2212yes—
203#2428C2212yes—
204#2427C2212yes—
205#2427C2212yes—
206#2427C2212yes—
207#2423C2212yes—
208#2422C2212yes—
209#2422C2212yes—
210#2422C2212yes—
211#2420C2212yes—
212#2419C2214yes—
213#2417C2212yes—
214#2416C2212yes—
215#2416C2212yes—
216#2415C2212yes—
217#2414C2212yes—
218#2414C2212yes—
219#2409C2211yescharacteristic
220#2409C2212yes—
221#2409C2211yescharacteristic
222#2407C2212yes—
223#2407C2214yes—
224#2407C2212yes—
225#2406C2214yes—
226#2396C2212yes—
227#2396C2212yes—
228#2377C2214yes—
229#2377C2214yes—
230#2370C2212yes—
231#2370C2212yes—
232#2369C2211yescharacteristic
233#2367C2212yes—
234#2366C2212yes—
235#2366C2212yes—
236#2366C2211yescharacteristic
237#2363C2212yes—
238#2361C2212yes—
239#2361C2212yes—
240#2361C2214yes—
241#2361C2212yes—
242#2361C2214yes—
243#2360C2212yes—
244#2357C2212yes—
245#2357C2212yes—
246#2355C2211yescharacteristic
247#2355C2211yescharacteristic
248#2355C2211yescharacteristic
249#2352C2212yes—
250D4×C4⋊C4C2212yes—
251D4×C4⋊C4C2212yes—
252D4×C4⋊C4C2212yes—
253D4×C4⋊C4C2212yes—
254D4×C4⋊C4C2211yescharacteristic
255#2347C2212yes—
256#2344C2212yes—
257#2339C2212yes—
258#2335C2214yes—
259#2335C2214yes—
260#2325C2212yes—
261#2325C2212yes—
262#2324C2211yescharacteristic
263#2324C2211yescharacteristic
264#2324C2212yes—
265#2324C2212yes—
266#2324C2212yes—
267#2323C2211yescharacteristic
268#2323C2212yes—
269#2323C2211yescharacteristic
270#2322C2214yes—
271#2322C2214yes—
272#2316C2211yescharacteristic
273#2314C2212yes—
274#2311C2211yescharacteristic
275#2311C2211yescharacteristic
276C4×C22⋊Q8C2212yes—
277C4×C22⋊Q8C2211yescharacteristic
278C4×C22⋊Q8C2211yescharacteristic
279C4×C22⋊Q8C2211yescharacteristic
280C4×C22⋊Q8C2211yescharacteristic
281C4×C22⋊Q8C2211yescharacteristic
282C4×C22⋊Q8C2211yescharacteristic
283C4×#121C2212yes—
284C4×#121C2212yes—
285C4×#121C2212yes—
286C4×#121C2212yes—
287C4×#121C2212yes—
288C4×#121C2211yescharacteristic
289C4×#121C2211yescharacteristic
290C4×#121C2212yes—
291C4×#121C2212yes—
292#2297C2212yes—
293#2296C2212yes—
294C2×#389C2212yes—
295#2285C2211yescharacteristic
296#2285C2212yes—
297#2285C2211yescharacteristic
298C2×C4×C4⋊C4C2211yescharacteristic
299C22×#41C2311yescharacteristic
300C22×#41C2311yescharacteristic
301C22×#41C2312yes—
302C23×Q8C2311yescharacteristic
303#559—44no—
304#554—44no—
305#540—216no—
306#537—28no—
307#532—44no—
308C2×C4⋊Q8C2311yescharacteristic
309C2×#127C2311yescharacteristic
310C2×#127C2312yes—
311C2×#125C2312yes—
312C2×#125C2312yes—
313C2×#125C2314yes—
314C2×#124C2312yes—
315C2×#124C2312yes—
316C2×#124C2312yes—
317C2×#124C2312yes—
318C2×#123C2314yes—
319C2×#123C2314yes—
320C2×#123C2314yes—
321C2×#123C2314yes—
322C2×#123C2314yes—
323C2×C22⋊Q8C2311yescharacteristic
324C2×C22⋊Q8C2311yescharacteristic
325C2×C22⋊Q8C2312yes—
326C2×C22⋊Q8C2311yescharacteristic
327C2×C22⋊Q8C2312yes—
328C2×C22⋊Q8C2311yescharacteristic
329C2×C22⋊Q8C2312yes—
330C2×C22⋊Q8C2314yes—
331C2×C22⋊Q8C2311yescharacteristic
332C2×C22⋊Q8C2311yescharacteristic
333C2×C22⋊Q8C2312yes—
334C2×C22⋊Q8C2312yes—
335C2×#121C2312yes—
336C2×#121C2312yes—
337C2×#121C2311yescharacteristic
338C2×#121C2312yes—
339C2×#121C2312yes—
340C2×#121C2312yes—
341C2×#121C2314yes—
342C2×#121C2314yes—
343C2×#121C2312yes—
344C2×#121C2312yes—
345C2×#121C2312yes—
346C2×#121C2312yes—
347C2×#121C2312yes—
348C2×#121C2312yes—
349C2×#121C2312yes—
350C2×#121C2312yes—
351C2×#121C2314yes—
352C2×#121C2311yescharacteristic
353C4×#41—44no—
354C4×#41—44no—
355C2×C4×Q8—44no—
356C2×C4×Q8C2311yescharacteristic
357C2×C4×Q8C2311yescharacteristic
358C2×C4×Q8C2311yescharacteristic
359C2×C4×Q8C2311yescharacteristic
360C2×C4×Q8C2311yescharacteristic
361C2×C4×Q8C2311yescharacteristic
362C2×C4×Q8C2312yes—
363C2×C4×Q8C2312yes—
364C2×C4×Q8C2311yescharacteristic
365C2×C4×Q8C2311yescharacteristic
366C2×C4×D4C2312yes—
367C2×C4×D4C2312yes—
368C2×C4×D4C2311yescharacteristic
369C2×C4×D4C2311yescharacteristic
370C2×C4×D4C2311yescharacteristic
371C2×C4×D4C2311yescharacteristic
372C2×C4×D4C2312yes—
373C2×C4×D4C2311yescharacteristic
374C2×C4×D4C2312yes—
375C2×C4×D4C2312yes—
376C2×C4×D4C2312yes—
377C2×C4×D4C2312yes—
378C2×C4×D4C2312yes—
379C2×C4×D4C2312yes—
380C2×C4×D4C2312yes—
381C2×C4×D4C2312yes—
382C2×C4×D4C2311yescharacteristic
383C2×C4×D4C2311yescharacteristic
384C2×C4×D4C2311yescharacteristic
385C2×C4×D4C2312yes—
386C2×C4×D4C2314yes—
387C2×C4×D4C2314yes—
388C2×C4×D4C2314yes—
389C2×C4×D4C2314yes—
390C2×C4×D4C2314yes—
391C2×#117C2312yes—
392C2×#117C2311yescharacteristic
393C2×#117C2311yescharacteristic
394C2×#117C2311yescharacteristic
395C2×#117C2311yescharacteristic
396C2×#117C2312yes—
397C2×#117C2312yes—
398C2×#117C2314yes—
399C22×C4⋊C4C2311yescharacteristic
400C22×C4⋊C4C2311yescharacteristic
401C22×C4⋊C4C2312yes—
402C22×C4⋊C4C2311yescharacteristic
403C22×C4⋊C4C2312yes—
404C22×C4⋊C4C2312yes—
405C22×C4⋊C4C2314yes—
406C22×C4⋊C4C2314yes—
407C22×C42C2311yescharacteristic
408C22×C42C2311yescharacteristic
409C22×C42C2311yescharacteristic
410C22×C42C2312yes—
411C22×C42C2312yes—
412C22×C42C2312yes—
413#401C2314yes—
414#401C2314yes—
415#400C2314yes—
416#400C2314yes—
417#400C2314yes—
418#400C2314yes—
419#400C2314yes—
420#400C2314yes—
421#400C2314yes—
422#400C2312yes—
423#400C2312yes—
424#400C2314yes—
425#400C2314yes—
426#400C2314yes—
427#400C2314yes—
428#400C2314yes—
429#400C2314yes—
430#399C2312yes—
431#399C2314yes—
432#399C2314yes—
433#399C2314yes—
434#399C2312yes—
435#399C2314yes—
436#399C2314yes—
437#399C2314yes—
438#399C2314yes—
439#399C2314yes—
440#398C2314yes—
441#398C2312yes—
442#398C2312yes—
443#398C2312yes—
444#398C2312yes—
445#398C2314yes—
446#398C2314yes—
447#398C2314yes—
448#398C2314yes—
449#398C2314yes—
450#398C2314yes—
451#398C2314yes—
452#397C2314yes—
453#397C2314yes—
454#397C2314yes—
455#397C2314yes—
456#397C2314yes—
457#397C2314yes—
458#397C2314yes—
459#397C2314yes—
460#397C2314yes—
461#397C2314yes—
462#397C2314yes—
463#397C2314yes—
464#397C2314yes—
465#397C2314yes—
466#397C2314yes—
467#397C2314yes—
468#397C2314yes—
469#397C2314yes—
470#397C2314yes—
471#396C2314yes—
472#396C2312yes—
473#396C2312yes—
474#396C2312yes—
475#396C2312yes—
476#396C2314yes—
477#396C2314yes—
478#396C2314yes—
479#395C2314yes—
480#395C2314yes—
481#395C2312yes—
482#395C2312yes—
483#395C2314yes—
484#394C2314yes—
485#394C2314yes—
486#394C2314yes—
487#394C2314yes—
488#394C2314yes—
489#394C2314yes—
490#394C2314yes—
491#394C2314yes—
492#394C2314yes—
493#394C2314yes—
494#394C2314yes—
495#394C2314yes—
496#393C2312yes—
497#393C2314yes—
498#393C2314yes—
499#393C2314yes—
500#393C2312yes—
501#393C2314yes—
502#392C2314yes—
503#392C2314yes—
504#392C2314yes—
505#392C2314yes—
506#392C2314yes—
507#392C2314yes—
508#392C2314yes—
509#391C2311yescharacteristic
510#391C2311yescharacteristic
511#391C2312yes—
512#391C2312yes—
513#391C2312yes—
514#391C2312yes—
515#391C2312yes—
516#391C2312yes—
517#391C2311yescharacteristic
518#391C2311yescharacteristic
519#391C2312yes—
520#391C2311yescharacteristic
521#391C2311yescharacteristic
522#391C2312yes—
523#391C2312yes—
524#391C2312yes—
525#391C2312yes—
526#391C2312yes—
527#391C2314yes—
528#390C2311yescharacteristic
529#390C2312yes—
530#390C2311yescharacteristic
531#390C2312yes—
532#390C2312yes—
533#390C2312yes—
534#390C2312yes—
535#390C2314yes—
536#390C2314yes—
537#390C2312yes—
538#390C2312yes—
539#390C2312yes—
540#390C2312yes—
541#390C2312yes—
542#390C2312yes—
543#390C2314yes—
544#390C2314yes—
545#390C2312yes—
546#390C2312yes—
547#390C2312yes—
548#390C2312yes—
549#390C2312yes—
550#390C2312yes—
551#390C2314yes—
552#390C2312yes—
553#390C2314yes—
554#389C2312yes—
555#389C2312yes—
556#389C2312yes—
557#389C2312yes—
558#389C2312yes—
559#389C2311yescharacteristic
560#389C2314yes—
561#389C2312yes—
562#389C2312yes—
563#389C2312yes—
564#389C2311yescharacteristic
565#389C2312yes—
566#389C2311yescharacteristic
567#389C2311yescharacteristic
568#389C2311yescharacteristic
569#389C2312yes—
570#389C2314yes—
571#389C2312yes—
572#389C2312yes—
573#389C2314yes—
574#389C2312yes—
575#389C2312yes—
576#389C2312yes—
577#389C2312yes—
578#389C2312yes—
579#389C2312yes—
580#389C2312yes—
581#389C2312yes—
582#389C2311yescharacteristic
583#389C2311yescharacteristic
584#389C2311yescharacteristic
585#389C2314yes—
586#389C2312yes—
587#389C2314yes—
588#389C2314yes—
589#389C2312yes—
590#389C2312yes—
591#389C2312yes—
592#389C2312yes—
593#389C2312yes—
594#389C2314yes—
595#388C2314yes—
596#388C2314yes—
597#388C2312yes—
598#388C2314yes—
599#388C2314yes—
600#388C2314yes—
601#388C2314yes—
602#388C2314yes—
603#388C2312yes—
604#388C2312yes—
605#388C2312yes—
606#388C2312yes—
607#388C2312yes—
608#388C2312yes—
609#388C2312yes—
610#388C2314yes—
611#388C2314yes—
612#388C2314yes—
613#388C2314yes—
614#388C2314yes—
615#388C2314yes—
616#388C2314yes—
617#388C2314yes—
618#388C2314yes—
619#388C2314yes—
620#388C2314yes—
621#388C2314yes—
622#388C2314yes—
623#388C2314yes—
624#388C2314yes—
625#388C2314yes—
626#388C2314yes—
627#387C2314yes—
628#387C2314yes—
629#387C2314yes—
630#387C2312yes—
631#387C2314yes—
632#387C2314yes—
633#387C2314yes—
634#387C2314yes—
635#387C2312yes—
636#387C2312yes—
637#387C2312yes—
638#387C2312yes—
639#387C2312yes—
640#387C2312yes—
641#387C2312yes—
642#387C2314yes—
643#387C2314yes—
644#387C2314yes—
645#387C2314yes—
646#387C2314yes—
647#387C2314yes—
648#387C2314yes—
649#387C2314yes—
650#387C2314yes—
651#387C2314yes—
652#387C2314yes—
653#387C2314yes—
654#387C2314yes—
655#386C2312yes—
656#386C2312yes—
657#386C2312yes—
658#386C2312yes—
659#386C2312yes—
660#386C2314yes—
661#386C2314yes—
662#386C2312yes—
663#386C2312yes—
664#386C2312yes—
665#386C2312yes—
666#386C2312yes—
667#386C2312yes—
668#386C2312yes—
669#386C2314yes—
670#386C2314yes—
671#386C2314yes—
672#386C2314yes—
673#386C2314yes—
674#386C2314yes—
675#386C2314yes—
676#386C2314yes—
677#386C2314yes—
678#386C2314yes—
679#386C2314yes—
680#386C2314yes—
681#386C2314yes—
682#386C2314yes—
683#386C2314yes—
684#386C2314yes—
685#386C2314yes—
686#386C2314yes—
687#386C2314yes—
688#386C2314yes—
689#386C2314yes—
690#385C2314yes—
691#385C2314yes—
692#385C2312yes—
693#385C2314yes—
694#385C2314yes—
695#385C2312yes—
696#385C2312yes—
697#385C2312yes—
698#385C2312yes—
699#385C2312yes—
700#385C2312yes—
701#385C2312yes—
702#385C2312yes—
703#385C2314yes—
704#385C2312yes—
705#385C2312yes—
706#385C2312yes—
707#385C2314yes—
708#385C2314yes—
709#385C2314yes—
710#385C2314yes—
711#385C2314yes—
712#385C2314yes—
713#385C2314yes—
714#385C2314yes—
715#385C2314yes—
716#385C2314yes—
717#385C2314yes—
718#385C2314yes—
719#385C2314yes—
720#385C2314yes—
721#384C2312yes—
722#384C2312yes—
723#384C2311yescharacteristic
724#384C2311yescharacteristic
725#384C2312yes—
726#384C2311yescharacteristic
727#384C2311yescharacteristic
728#383C2314yes—
729#383C2314yes—
730#383C2314yes—
731#383C2314yes—
732#382C2312yes—
733#382C2312yes—
734#382C2312yes—
735#382C2312yes—
736#382C2314yes—
737#382C2312yes—
738#382C2312yes—
739#382C2312yes—
740#382C2314yes—
741#381C2314yes—
742#381C2314yes—
743#381C2314yes—
744#381C2314yes—
745#381C2314yes—
746#381C2314yes—
747#380C2311yescharacteristic
748#380C2311yescharacteristic
749#380C2312yes—
750#380C2311yescharacteristic
751#380C2312yes—
752#380C2311yescharacteristic
753#380C2312yes—
754#380C2312yes—
755#380C2312yes—
756#380C2312yes—
757#380C2312yes—
758#380C2314yes—
759#380C2314yes—
760#380C2312yes—
761#380C2312yes—
762#380C2312yes—
763#380C2311yescharacteristic
764#380C2312yes—
765#380C2314yes—
766#380C2311yescharacteristic
767#380C2312yes—
768#380C2312yes—
769#380C2314yes—
770#380C2311yescharacteristic
771#380C2311yescharacteristic
772#380C2314yes—
773#380C2314yes—
774#380C2311yescharacteristic
775#380C2311yescharacteristic
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2311yescharacteristic
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2311yescharacteristic
788C4×C4⋊C4C2311yescharacteristic
789C4×C4⋊C4C2312yes—
790C4×C4⋊C4C2312yes—
791C4×C4⋊C4C2314yes—
792C4×C4⋊C4C2314yes—
793C4×C4⋊C4C2312yes—
794C4×C4⋊C4C2312yes—
795C4×C4⋊C4C2312yes—
796C4×C4⋊C4C2312yes—
797C4×C4⋊C4C2312yes—
798C4×C4⋊C4C2311yescharacteristic
799C4×C4⋊C4C2312yes—
800C4×C4⋊C4C2312yes—
801C4×C4⋊C4C2312yes—
802C4×C4⋊C4C2312yes—
803C4×C22⋊C4C2314yes—
804C4×C22⋊C4C2314yes—
805C4×C22⋊C4C2314yes—
806C4×C22⋊C4C2314yes—
807C4×C22⋊C4C2314yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2312yes—
811C4×C22⋊C4C2312yes—
812C4×C22⋊C4C2312yes—
813C4×C22⋊C4C2312yes—
814C4×C22⋊C4C2312yes—
815C4×C22⋊C4C2312yes—
816C2×#95C2312yes—
817C2×#95C2314yes—
818C2×#41—24no—
819C2×#41—24no—
820C2×#41—24no—
821C2×#41—24no—
822C2×#41—42no—
823C2×#41—42no—
824C2×#41—44no—
825C2×#41—82no—
826C2×#41—82no—
827C22×Q8—42no—
828C22×Q8—42no—
829C22×Q8—42no—
830C22×Q8C2411yescharacteristic
831C22×Q8C2411yescharacteristic
832C22×Q8C2411yescharacteristic
833C22×Q8C2411yescharacteristic
834C22×Q8C2412yes—
835C22×Q8C2412yes—
836C22×D4C2412yes—
837C22×D4C2412yes—
838C22×D4C2411yescharacteristic
839C22×D4C2412yes—
840C22×D4C2411yescharacteristic
841C22×D4C2411yescharacteristic
842C22×D4C2411yescharacteristic
843C22×D4C2412yes—
844C22×D4C2414yes—
845C22×D4C2414yes—
846C22×D4C2414yes—
847C22×D4C2414yes—
848C22×D4C2412yes—
849C22×D4C2414yes—
850C22×D4C2412yes—
851C23×C4C2412yes—
852C23×C4C2411yescharacteristic
853C23×C4C2411yescharacteristic
854C23×C4C2411yescharacteristic
855C23×C4C2411yescharacteristic
856C23×C4C2412yes—
857C23×C4C2411yescharacteristic
858C23×C4C2411yescharacteristic
859C23×C4C2411yescharacteristic
860C23×C4C2414yes—
861C23×C4C2412yes—
862C23×C4C2414yes—
863C23×C4C2412yes—
864C23×C4C2411yescharacteristic
865C23×C4C2411yescharacteristic
866C23×C4C2412yes—
867C23×C4C2412yes—
868C23×C4C2414yes—
869C23×C4C2414yes—
870C23×C4C2414yes—
871C23×C4C2412yes—
872C4⋊Q8—24no—
873#127—28no—
874#127—24no—
875#125—28no—
876#125—44no—
877#125—84no—
878#124—44no—
879#124—44no—
880#124—44no—
881#124—44no—
882#123—216no—
883#123—216no—
884#123—48no—
885#123—84no—
886#123—84no—
887C22⋊Q8—24no—
888C22⋊Q8—24no—
889C22⋊Q8—28no—
890C22⋊Q8—48no—
891C22⋊Q8—42no—
892C22⋊Q8—44no—
893C22⋊Q8—42no—
894C22⋊Q8—42no—
895C22⋊Q8—42no—
896C22⋊Q8—44no—
897C22⋊Q8—82no—
898C22⋊Q8—82no—
899#121—24no—
900#121—28no—
901#121—28no—
902#121—216no—
903#121—216no—
904#121—28no—
905#121—28no—
906#121—28no—
907#121—44no—
908#121—44no—
909#121—44no—
910#121—44no—
911#121—44no—
912#121—44no—
913#121—82no—
914#121—84no—
915#121—82no—
916#121#4118yescomplemented
917C4×Q8—24no—
918C4×Q8—24no—
919C4×Q8—24no—
920C4×Q8—44no—
921C4×Q8—42no—
922C4×Q8—42no—
923C4×Q8—44no—
924C4×Q8—42no—
925C4×Q8—42no—
926C4×Q8—42no—
927C4×D4—28no—
928C4×D4—28no—
929C4×D4—24no—
930C4×D4—44no—
931C4×D4—42no—
932C4×D4—44no—
933C4×D4—44no—
934C4×D4—44no—
935C4×D4—44no—
936C4×D4—44no—
937C4×D4—44no—
938C4×D4—44no—
939C4×D4—42no—
940C4×D4—42no—
941C4×D4—42no—
942C4×D4—42no—
943C4×D4—42no—
944C4×D4—42no—
945C4×D4—44no—
946C4×D4—44no—
947C4×D4—84no—
948C4×D4—84no—
949C4×D4—84no—
950C4×D4—84no—
951C4×D4—84no—
952#117—28no—
953#117—42no—
954#117—42no—
955#117—42no—
956#117—44no—
957#117—44no—
958#117—42no—
959#117—84no—
960C2×C4⋊C4—24no—
961C2×C4⋊C4—24no—
962C2×C4⋊C4—44no—
963C2×C4⋊C4—42no—
964C2×C4⋊C4—44no—
965C2×C4⋊C4—44no—
966C2×C4⋊C4—84no—
967C2×C4⋊C4—84no—
968C2×C4⋊C4C2411yescharacteristic
969C2×C4⋊C4C2411yescharacteristic
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2411yescharacteristic
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2411yescharacteristic
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2411yescharacteristic
978C2×C4⋊C4C2411yescharacteristic
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2411yescharacteristic
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2411yescharacteristic
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2411yescharacteristic
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2411yescharacteristic
990C2×C4⋊C4C2411yescharacteristic
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2414yes—
994C2×C4⋊C4C2414yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2414yes—
1000C2×C4⋊C4C2414yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2414yes—
1005C2×C4⋊C4C2414yes—
1006C2×C4⋊C4C2414yes—
1007C2×C4⋊C4C2414yes—
1008C2×C4⋊C4C2414yes—
1009C2×C4⋊C4C2411yescharacteristic
1010C2×C4⋊C4C2411yescharacteristic
1011C2×C4⋊C4C2411yescharacteristic
1012C2×C4⋊C4C2411yescharacteristic
1013C2×C4⋊C4C2411yescharacteristic
1014C2×C4⋊C4C2411yescharacteristic
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2414yes—
1017C2×C4⋊C4C2414yes—
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2412yes—
1020C2×C4⋊C4C2414yes—
1021C2×C4⋊C4C2412yes—
1022C2×C4⋊C4C2412yes—
1023C2×C4⋊C4C2412yes—
1024C2×C4⋊C4C2412yes—
1025C2×C4⋊C4C2414yes—
1026C2×C4⋊C4C2414yes—
1027C2×C4⋊C4C2414yes—
1028C2×C4⋊C4C2412yes—
1029C2×C4⋊C4C2412yes—
1030C2×C4⋊C4C2412yes—
1031C2×C4⋊C4C2412yes—
1032C2×C4⋊C4C2414yes—
1033C2×C4⋊C4C2412yes—
1034C2×C4⋊C4C2412yes—
1035C2×C4⋊C4C2412yes—
1036C2×C4⋊C4C2411yescharacteristic
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2411yescharacteristic
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2411yescharacteristic
1052C2×C22⋊C4C2411yescharacteristic
1053C2×C22⋊C4C2411yescharacteristic
1054C2×C22⋊C4C2411yescharacteristic
1055C2×C22⋊C4C2411yescharacteristic
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2414yes—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2412yes—
1061C2×C22⋊C4C2414yes—
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2414yes—
1064C2×C22⋊C4C2414yes—
1065C2×C22⋊C4C2414yes—
1066C2×C22⋊C4C2414yes—
1067C2×C22⋊C4C2414yes—
1068C2×C22⋊C4C2414yes—
1069C2×C22⋊C4C2414yes—
1070C2×C22⋊C4C2414yes—
1071C2×C22⋊C4C2412yes—
1072C2×C22⋊C4C2412yes—
1073C2×C22⋊C4C2412yes—
1074C2×C22⋊C4C2412yes—
1075C2×C22⋊C4C2414yes—
1076C2×C22⋊C4C2412yes—
1077C2×C22⋊C4C2414yes—
1078C2×C22⋊C4C2414yes—
1079C2×C22⋊C4C2414yes—
1080C2×C22⋊C4C2414yes—
1081C2×C22⋊C4C2414yes—
1082C2×C22⋊C4C2412yes—
1083C2×C22⋊C4C2414yes—
1084C2×C22⋊C4C2412yes—
1085C2×C22⋊C4C2412yes—
1086C2×C22⋊C4C2412yes—
1087C2×C22⋊C4C2412yes—
1088C2×C22⋊C4C2412yes—
1089C2×C22⋊C4C2412yes—
1090C2×C22⋊C4C2414yes—
1091C2×C22⋊C4C2414yes—
1092C2×C22⋊C4C2414yes—
1093C2×C22⋊C4C2414yes—
1094C2×C22⋊C4C2412yes—
1095C2×C42—24no—
1096C2×C42—24no—
1097C2×C42—24no—
1098C2×C42—44no—
1099C2×C42—44no—
1100C2×C42—44no—
1101C2×C42C2411yescharacteristic
1102C2×C42C2411yescharacteristic
1103C2×C42C2411yescharacteristic
1104C2×C42C2411yescharacteristic
1105C2×C42C2412yes—
1106C2×C42C2412yes—
1107C2×C42C2411yescharacteristic
1108C2×C42C2412yes—
1109C2×C42C2412yes—
1110C2×C42C2411yescharacteristic
1111C2×C42C2411yescharacteristic
1112C2×C42C2412yes—
1113C2×C42C2412yes—
1114C2×C42C2411yescharacteristic
1115C2×C42C2411yescharacteristic
1116C2×C42C2412yes—
1117C2×C42C2412yes—
1118C2×C42C2414yes—
1119C2×C42C2414yes—
1120C2×C42C2414yes—
1121C2×C42C2414yes—
1122C2×C42C2412yes—
1123C2×C42C2414yes—
1124C2×C42C2412yes—
1125C2×C42C2412yes—
1126C2×C42C2412yes—
1127C2×C42C2412yes—
1128C2×C42C2411yescharacteristic
1129#95C2412yes—
1130#95C2412yes—
1131#95C2412yes—
1132#95C2412yes—
1133#95C2412yes—
1134#95C2414yes—
1135#95C2414yes—
1136#95C2414yes—
1137#95C2412yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2412yes—
1141#95C2412yes—
1142#95C2412yes—
1143#95C2412yes—
1144#95C2412yes—
1145#95C2412yes—
1146#95C2412yes—
1147#95C2414yes—
1148#95C2414yes—
1149#95C2414yes—
1150#95C2412yes—
1151#95C2412yes—
1152#95C2414yes—
1153#95C2412yes—
1154#95C2412yes—
1155#95C2412yes—
1156#95C2414yes—
1157#95C2414yes—
1158#95C2412yes—
1159#95C2412yes—
1160#95C2412yes—
1161#95C2412yes—
1162#95C2412yes—
1163#95C2412yes—
1164#95C2414yes—
1165#95C2412yes—
1166#95C2412yes—
1167#95C2414yes—
1168#95C2414yes—
1169#95C2414yes—
1170#95C2412yes—
1171#95C2412yes—
1172#95C2414yes—
1173#95C2412yes—
1174#95C2412yes—
1175#95C2412yes—
1176#95C2412yes—
1177#95C2412yes—
1178#95C2414yes—
1179#95C2414yes—
1180#95C2414yes—
1181#95C2414yes—
1182#95C2414yes—
1183#95C2414yes—
1184#95C2412yes—
1185#95C2414yes—
1186#95C2414yes—
1187#95C2414yes—
1188#95C2414yes—
1189#95C2414yes—
1190#95C2414yes—
1191#95C2414yes—
1192#95C2414yes—
1193#95C2414yes—
1194#95C2414yes—
1195C24C2514yes—
1196C24C2511yescharacteristic
1197C24C2512yes—
1198C24C2511yescharacteristic
1199C24C2511yescharacteristic
1200#41—416no—
1201#41—416no—
1202#41—816no—
1203C2×Q8—22no—
1204C2×Q8—22no—
1205C2×Q8—22no—
1206C2×Q8—22no—
1207C2×Q8—22no—
1208C2×Q8—24no—
1209C2×Q8—22no—
1210C2×Q8—22no—
1211C2×Q8—22no—
1212C2×Q8—22no—
1213C2×Q8—22no—
1214C2×Q8—22no—
1215C2×Q8—42no—
1216C2×Q8—41no—
1217C2×Q8—42no—
1218C2×Q8—42no—
1219C2×Q8—42no—
1220C2×Q8—42no—
1221C2×Q8—416no—
1222C2×D4—22no—
1223C2×D4—22no—
1224C2×D4—24no—
1225C2×D4—22no—
1226C2×D4—22no—
1227C2×D4—24no—
1228C2×D4—28no—
1229C2×D4—24no—
1230C2×D4—28no—
1231C2×D4—28no—
1232C2×D4—28no—
1233C2×D4—24no—
1234C2×D4—22no—
1235C2×D4—22no—
1236C2×D4—24no—
1237C2×D4—24no—
1238C2×D4—24no—
1239C2×D4—22no—
1240C2×D4—24no—
1241C2×D4—22no—
1242C2×D4—24no—
1243C2×D4—24no—
1244C2×D4—41no—
1245C2×D4—41no—
1246C2×D4—41no—
1247C2×D4—42no—
1248C2×D4—42no—
1249C2×D4—42no—
1250C2×D4—42no—
1251C2×D4—44no—
1252C2×D4—44no—
1253C2×D4—44no—
1254C2×D4—44no—
1255C2×D4—44no—
1256C2×D4—44no—
1257C2×D4—44no—
1258C2×D4—44no—
1259C2×D4—44no—
1260C2×D4—42no—
1261C2×D4—42no—
1262C2×D4—42no—
1263C2×D4—44no—
1264C2×D4—44no—
1265C2×D4C2×#4114yes—
1266C2×D4C2×#4118yes—
1267C22×C4—22no—
1268C22×C4—22no—
1269C22×C4—22no—
1270C22×C4—22no—
1271C22×C4—24no—
1272C22×C4—24no—
1273C22×C4—28no—
1274C22×C4—22no—
1275C22×C4—22no—
1276C22×C4—22no—
1277C22×C4—22no—
1278C22×C4—22no—
1279C22×C4—22no—
1280C22×C4—24no—
1281C22×C4—24no—
1282C22×C4—22no—
1283C22×C4—22no—
1284C22×C4—24no—
1285C22×C4—22no—
1286C22×C4—24no—
1287C22×C4—22no—
1288C22×C4—22no—
1289C22×C4—22no—
1290C22×C4—22no—
1291C22×C4—24no—
1292C22×C4—28no—
1293C22×C4—22no—
1294C22×C4—22no—
1295C22×C4—42no—
1296C22×C4—42no—
1297C22×C4—42no—
1298C22×C4—42no—
1299C22×C4—42no—
1300C22×C4—42no—
1301C22×C4—41no—
1302C22×C4—41no—
1303C22×C4—42no—
1304C22×C4—42no—
1305C22×C4—42no—
1306C22×C4—44no—
1307C22×C4—42no—
1308C22×C4—44no—
1309C22×C4—44no—
1310C22×C4—44no—
1311C22×C4—44no—
1312C22×C4—44no—
1313C22×C4—42no—
1314C22×C4—42no—
1315C22×C4—42no—
1316C22×C4—42no—
1317C22×C4—44no—
1318C22×C4—41no—
1319C22×C4—41no—
1320C22×C4—41no—
1321C22×C4—41no—
1322C22×C4—44no—
1323C22×C4—44no—
1324C22×C4—44no—
1325C22×C4—44no—
1326C22×C4—44no—
1327C22×C4—44no—
1328C22×C4C2×#4114yes—
1329C22×C42−1+414yes—
1330C22×C4C2511yescharacteristic
1331C22×C4C2512yes—
1332C22×C4C2512yes—
1333C22×C4C2514yes—
1334C22×C4C2512yes—
1335C22×C4C2512yes—
1336C22×C4C2512yes—
1337C22×C4C2511yescharacteristic
1338C22×C4C2512yes—
1339C22×C4C2512yes—
1340C22×C4C2512yes—
1341C22×C4C2514yes—
1342C22×C4C2511yescharacteristic
1343C22×C4C2512yes—
1344C22×C4C2512yes—
1345C22×C4C2514yes—
1346C22×C4C2511yescharacteristic
1347C22×C4C2511yescharacteristic
1348C22×C4C2511yescharacteristic
1349C22×C4C2512yes—
1350C22×C4C2512yes—
1351C22×C4C2512yes—
1352C22×C4C2512yes—
1353C22×C4C2511yescharacteristic
1354C22×C4C2511yescharacteristic
1355C22×C4C2512yes—
1356C22×C4C2511yescharacteristic
1357C22×C4C2511yescharacteristic
1358C22×C4C2511yescharacteristic
1359C22×C4C2511yescharacteristic
1360C4⋊C4—24no—
1361C4⋊C4—22no—
1362C4⋊C4—24no—
1363C4⋊C4—24no—
1364C4⋊C4—24no—
1365C4⋊C4—24no—
1366C4⋊C4—24no—
1367C4⋊C4—28no—
1368C4⋊C4—28no—
1369C4⋊C4—22no—
1370C4⋊C4—22no—
1371C4⋊C4—24no—
1372C4⋊C4—24no—
1373C4⋊C4—24no—
1374C4⋊C4—22no—
1375C4⋊C4—22no—
1376C4⋊C4—24no—
1377C4⋊C4—24no—
1378C4⋊C4—24no—
1379C4⋊C4—22no—
1380C4⋊C4—22no—
1381C4⋊C4—24no—
1382C4⋊C4—22no—
1383C4⋊C4—24no—
1384C4⋊C4—24no—
1385C4⋊C4—22no—
1386C4⋊C4—22no—
1387C4⋊C4—22no—
1388C4⋊C4—44no—
1389C4⋊C4—42no—
1390C4⋊C4—42no—
1391C4⋊C4—42no—
1392C4⋊C4—44no—
1393C4⋊C4—42no—
1394C4⋊C4—42no—
1395C4⋊C4—42no—
1396C4⋊C4—44no—
1397C4⋊C4—44no—
1398C4⋊C4—44no—
1399C4⋊C4—44no—
1400C4⋊C4—44no—
1401C4⋊C4—41no—
1402C4⋊C4—41no—
1403C4⋊C4—41no—
1404C4⋊C4—41no—
1405C4⋊C4—41no—
1406C4⋊C4—41no—
1407C4⋊C4—42no—
1408C4⋊C4—44no—
1409C4⋊C4—44no—
1410C4⋊C4—42no—
1411C4⋊C4—42no—
1412C4⋊C4—42no—
1413C4⋊C4—42no—
1414C4⋊C4—44no—
1415C4⋊C4—42no—
1416C4⋊C4—42no—
1417C4⋊C4—44no—
1418C4⋊C4—42no—
1419C4⋊C4—42no—
1420C4⋊C4—44no—
1421C4⋊C4—42no—
1422C4⋊C4—42no—
1423C4⋊C4—44no—
1424C4⋊C4—44no—
1425C4⋊C4—42no—
1426C4⋊C4—42no—
1427C4⋊C4—42no—
1428C4⋊C4C2×#4114yes—
1429C22⋊C4—24no—
1430C22⋊C4—24no—
1431C22⋊C4—28no—
1432C22⋊C4—24no—
1433C22⋊C4—24no—
1434C22⋊C4—28no—
1435C22⋊C4—24no—
1436C22⋊C4—28no—
1437C22⋊C4—24no—
1438C22⋊C4—28no—
1439C22⋊C4—44no—
1440C22⋊C4—41no—
1441C22⋊C4—41no—
1442C22⋊C4—41no—
1443C22⋊C4—41no—
1444C22⋊C4—41no—
1445C22⋊C4—42no—
1446C22⋊C4—41no—
1447C22⋊C4—42no—
1448C22⋊C4—42no—
1449C22⋊C4—44no—
1450C22⋊C4—42no—
1451C22⋊C4—42no—
1452C22⋊C4—44no—
1453C22⋊C4—42no—
1454C22⋊C4—42no—
1455C22⋊C4—44no—
1456C22⋊C4—44no—
1457C22⋊C4—44no—
1458C22⋊C4—44no—
1459C22⋊C4—44no—
1460C22⋊C4—42no—
1461C22⋊C4—44no—
1462C22⋊C4—42no—
1463C22⋊C4—42no—
1464C22⋊C4—44no—
1465C22⋊C4—44no—
1466C22⋊C4—44no—
1467C22⋊C4—44no—
1468C22⋊C4—44no—
1469C22⋊C4—44no—
1470C22⋊C4—44no—
1471C22⋊C4—44no—
1472C22⋊C4—42no—
1473C22⋊C4—44no—
1474C22⋊C4—44no—
1475C22⋊C4—42no—
1476C22⋊C4—42no—
1477C22⋊C4—42no—
1478C22⋊C4—42no—
1479C22⋊C4—44no—
1480C22⋊C4—42no—
1481C22⋊C4—42no—
1482C22⋊C4—44no—
1483C22⋊C4—42no—
1484C22⋊C4—44no—
1485C22⋊C4—44no—
1486C22⋊C4C2×#4118yes—
1487C42—24no—
1488C42—24no—
1489C42—22no—
1490C42—22no—
1491C42—22no—
1492C42—22no—
1493C42—22no—
1494C42—22no—
1495C42—22no—
1496C42—22no—
1497C42—22no—
1498C42—24no—
1499C42—24no—
1500C42—24no—
1501C42—24no—
1502C42—24no—
1503C42—42no—
1504C42—42no—
1505C42—42no—
1506C42—42no—
1507C42—42no—
1508C42—42no—
1509C42—44no—
1510C42—44no—
1511C42—44no—
1512C42—44no—
1513C42—44no—
1514C42H(5,𝔽2)14yes—
1515C23—21no—
1516C23—22no—
1517C23—21no—
1518C23—21no—
1519C23—21no—
1520C23—22no—
1521C23—21no—
1522C23—21no—
1523C23—22no—
1524C23—22no—
1525C23—21no—
1526C23—21no—
1527C23—21no—
1528C23—21no—
1529C23—22no—
1530C23—22no—
1531C23—21no—
1532C23—21no—
1533C23—24no—
1534C23—21no—
1535C23—24no—
1536C23—21no—
1537C23—24no—
1538C23—21no—
1539C23—21no—
1540C23—21no—
1541C23—24no—
1542C23—24no—
1543C23—21no—
1544C23—24no—
1545C23—24no—
1546C23—21no—
1547C23C22×#4112yes—
1548C23C22×#4114yes—
1549C23C2×2−1+412yes—
1550C23C2611yescharacteristic
1551Q8—44no—
1552Q8—48no—
1553Q8—44no—
1554Q8—44no—
1555Q8—44no—
1556Q8—84no—
1557D4—28no—
1558D4—48no—
1559D4—44no—
1560D4—44no—
1561D4—44no—
1562D4—48no—
1563D4—48no—
1564D4—48no—
1565D4—84no—
1566D4—84no—
1567D4—88no—
1568D4—88no—
1569D4—88no—
1570D4—88no—
1571D4—88no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—21no—
1576C2×C4—22no—
1577C2×C4—22no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—28no—
1581C2×C4—28no—
1582C2×C4—22no—
1583C2×C4—22no—
1584C2×C4—22no—
1585C2×C4—22no—
1586C2×C4—22no—
1587C2×C4—24no—
1588C2×C4—21no—
1589C2×C4—22no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—22no—
1598C2×C4—22no—
1599C2×C4—22no—
1600C2×C4—22no—
1601C2×C4—22no—
1602C2×C4—22no—
1603C2×C4—22no—
1604C2×C4—24no—
1605C2×C4—24no—
1606C2×C4—22no—
1607C2×C4—22no—
1608C2×C4—21no—
1609C2×C4—22no—
1610C2×C4—22no—
1611C2×C4—22no—
1612C2×C4—22no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—24no—
1616C2×C4—24no—
1617C2×C4—22no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—22no—
1621C2×C4—22no—
1622C2×C4—22no—
1623C2×C4—22no—
1624C2×C4—21no—
1625C2×C4—22no—
1626C2×C4—21no—
1627C2×C4—22no—
1628C2×C4—22no—
1629C2×C4—22no—
1630C2×C4—22no—
1631C2×C4—22no—
1632C2×C4—22no—
1633C2×C4—24no—
1634C2×C4—22no—
1635C2×C4—22no—
1636C2×C4—22no—
1637C2×C4—22no—
1638C2×C4—24no—
1639C2×C4—24no—
1640C2×C4—21no—
1641C2×C4—22no—
1642C2×C4—21no—
1643C2×C4—22no—
1644C2×C4—22no—
1645C2×C4—22no—
1646C2×C4—22no—
1647C2×C4—22no—
1648C2×C4—21no—
1649C2×C4—22no—
1650C2×C4—24no—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—48no—
1655C2×C4—44no—
1656C2×C4—48no—
1657C2×C4—48no—
1658C2×C4—44no—
1659C2×C4—44no—
1660C2×C4—48no—
1661C2×C4—44no—
1662C2×C4—44no—
1663C2×C4—88no—
1664C2×C4—84no—
1665C2×C4—82no—
1666C2×C4—82no—
1667C2×C4—88no—
1668C2×C4—84no—
1669C2×C4—84no—
1670C2×C4—88no—
1671C2×C4—164no—
1672C2×C4—164no—
1673C2×C4C22×#4112yes—
1674C2×C4C22×#4114yes—
1675C2×C4C22×#4112yes—
1676C2×C4C2×H(5,𝔽2)12yes—
1677C2×C4C2×H(5,𝔽2)12yes—
1678C2×C4C2×H(5,𝔽2)12yes—
1679C2×C4C2×2−1+412yes—
1680C2×C4C2×2−1+412yes—
1681C2×C4#58512yes—
1682C2×C4#58512yes—
1683C22—22no—
1684C22—24no—
1685C22—24no—
1686C22—22no—
1687C22—22no—
1688C22—22no—
1689C22—24no—
1690C22—22no—
1691C22—22no—
1692C22—41no—
1693C22—42no—
1694C22—41no—
1695C22—41no—
1696C22—41no—
1697C22—41no—
1698C22—42no—
1699C22—41no—
1700C22—41no—
1701C22—42no—
1702C22—42no—
1703C22—41no—
1704C22—41no—
1705C22—44no—
1706C22—44no—
1707C22—41no—
1708C22—44no—
1709C22—41no—
1710C22—41no—
1711C22—44no—
1712C22—41no—
1713C22—44no—
1714C22—44no—
1715C22—41no—
1716C22—44no—
1717C22—41no—
1718C22C23×#4111yescharacteristic
1719C22C22×H(5,𝔽2)11yescharacteristic
1720C22C22×2−1+411yescharacteristic
1721C22C2×#58511yescharacteristic
1722C22C2×#58511yescharacteristic
1723C22H(7,𝔽2)11yescharacteristic
1724C22H(7,𝔽2)11yescharacteristic
1725C4—24no—
1726C4—22no—
1727C4—22no—
1728C4—22no—
1729C4—41no—
1730C4—41no—
1731C4—42no—
1732C4—41no—
1733C4—42no—
1734C4—42no—
1735C4—42no—
1736C4—42no—
1737C4—42no—
1738C4—42no—
1739C4—44no—
1740C4—42no—
1741C4—41no—
1742C4—42no—
1743C4—41no—
1744C4—41no—
1745C4—41no—
1746C4—42no—
1747C4—42no—
1748C4—42no—
1749C4—44no—
1750C4—42no—
1751C4—42no—
1752C4—44no—
1753C4#352014yes—
1754C4#353914yes—
1755C2—42no—
1756C2—44no—
1757C2—42no—
1758C2—81no—
1759C2—84no—
1760C2C2×#353911yescharacteristic
1761C2C2×#352011yescharacteristic
1762C2#6287411yescharacteristic
1763C2#6292611yescharacteristic
1764C2#6296211yescharacteristic
1765C2#6299211yescharacteristic
1766C2#6301011yescharacteristic
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. #59676C2semidirect
2. #59257C2semidirect
3. #59242C2semidirect
4. #59220C2semidirect
5. #59070C2semidirect
6. #59057C2semidirect
7. #50586C2semidirect
8. #48310C2semidirect
9. #47515C2semidirect
10. #47088C2semidirect
11. #45687C2semidirect
12. #45663C2semidirect
13. #45368C2semidirect
14. #45358C2semidirect
15. #42725C2semidirect
16. #42592C2semidirect
17. #40172C2semidirect
18. #39926C2semidirect
19. #39567C2semidirect
20. #39480C2semidirect
21. #39436C2semidirect
22. #39352C2semidirect
23. #39220C2semidirect
24. #39199C2semidirect
25. #37430C2semidirect
26. #36587C2semidirect
27. #36580C2semidirect
28. #36544C2semidirect
29. #36493C2semidirect
30. #36275C2semidirect
31. #36193C2semidirect
32. #35292C2semidirect
33. #34952C2semidirect
34. #34418C2semidirect
35. C4×#537C2semidirect
916. #121#41semidirect

Maximal subgroups

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

subgroupindex
#596762
#592572
#592422
#592202
#590702
#590572
#505862
#483102
#475152
#470882
#456872
#456632
#453682
#453582
#427252
#425922
#401722
#399262
#395672
#394802
#394362
#393522
#392202
#391992
#374302
#365872
#365802
#365442
#364932
#362752
#361932
#352922
#349522
#344182
C4×#5372