Finite Group Databasebeta

← #7966780

Subgroups — #7966780

Order 512.

5270 conjugacy classes of subgroups.

The subgroup lattice has 1782 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59676C212yesmaximal, complemented
2#59463C212yesmaximal, complemented
3#59442C211yesmaximal, characteristic, complemented
4#59136C211yesmaximal, characteristic, complemented
5#59039C211yesmaximal, characteristic, complemented
6#51700C214yesmaximal, complemented
7#49942C214yesmaximal, complemented
8#46339C212yesmaximal, complemented
9#45676C212yesmaximal, complemented
10#45209C212yesmaximal, complemented
11#44889C212yesmaximal, complemented
12#43015C214yesmaximal, complemented
13#42947C212yesmaximal, complemented
14#42624C212yesmaximal, complemented
15#41318C214yesmaximal, complemented
16#40148C212yesmaximal, complemented
17#40007C212yesmaximal, complemented
18#39397C212yesmaximal, complemented
19#39352C211yesmaximal, characteristic, complemented
20#39191C212yesmaximal, complemented
21#39169C211yesmaximal, characteristic, complemented
22#39069C212yesmaximal, complemented
23#36459C211yesmaximal, characteristic, complemented
24#36410C211yesmaximal, characteristic, complemented
25#36368C212yesmaximal, complemented
26#36300C211yesmaximal, characteristic, complemented
27#36275C211yesmaximal, characteristic, complemented
28#36122C211yesmaximal, characteristic, complemented
29#35279C211yesmaximal, characteristic, complemented
30#35208C211yesmaximal, characteristic, complemented
31#35008C212yesmaximal, complemented
32#34977C211yesmaximal, characteristic, complemented
33#34793C211yesmaximal, characteristic, complemented
34#34431C212yesmaximal, complemented
35C4×#550C211yesmaximal, characteristic, complemented
36C2×#554C2211yescharacteristic
37C2×#550C2211yescharacteristic
38C2×#550C2211yescharacteristic
39C2×#548C2212yes—
40C2×#540C2212yes—
41C2×#539C2214yes—
42C2×#532C2211yescharacteristic
43C22×C4⋊Q8C2211yescharacteristic
44C2×C4×#41C2211yescharacteristic
45C2×C4×#41C2211yescharacteristic
46#2863C2212yes—
47#2860C2212yes—
48#2860C2212yes—
49#2859C2212yes—
50#2858C2211yescharacteristic
51#2857C2212yes—
52#2857C2211yescharacteristic
53#2857C2212yes—
54#2856C2211yescharacteristic
55#2855C2212yes—
56#2854C2212yes—
57#2837C2214yes—
58#2829C2214yes—
59#2801C2214yes—
60#2790C2214yes—
61#2788C2214yes—
62#2757C2214yes—
63#2756C2214yes—
64#2753C2214yes—
65#2753C2214yes—
66#2751C2214yes—
67#2750C2214yes—
68#2749C2214yes—
69#2743C2214yes—
70#2741C2214yes—
71#2741C2214yes—
72#2741C2214yes—
73#2730C2214yes—
74#2730C2214yes—
75#2729C2214yes—
76#2711C2214yes—
77#2711C2214yes—
78#2706C2214yes—
79#2705C2214yes—
80#2703C2214yes—
81#2696C2214yes—
82#2691C2214yes—
83#2688C2214yes—
84#2686C2214yes—
85#2681C2214yes—
86#2676C2214yes—
87#2676C2214yes—
88#2673C2214yes—
89#2672C2214yes—
90#2671C2214yes—
91#2671C2214yes—
92#2666C2214yes—
93#2664C2214yes—
94#2663C2214yes—
95#2649C2214yes—
96#2641C2212yes—
97#2636C2214yes—
98#2628C2214yes—
99#2624C2214yes—
100#2624C2212yes—
101#2610C2214yes—
102#2602C2214yes—
103#2589C2214yes—
104#2587C2214yes—
105#2582C2211yescharacteristic
106#2578C2214yes—
107#2573C2214yes—
108#2572C2214yes—
109#2570C2212yes—
110#2568C2212yes—
111#2567C2211yescharacteristic
112#2567C2211yescharacteristic
113#2567C2211yescharacteristic
114#2566C2212yes—
115#2563C2211yescharacteristic
116#2563C2211yescharacteristic
117#2563C2211yescharacteristic
118#2562C2212yes—
119#2560C2214yes—
120#2557C2214yes—
121#2556C2214yes—
122#2553C2214yes—
123#2552C2211yescharacteristic
124#2550C2212yes—
125#2548C2211yescharacteristic
126#2545C2212yes—
127#2543C2214yes—
128#2542C2212yes—
129#2541C2212yes—
130#2541C2211yescharacteristic
131#2537C2212yes—
132#2537C2212yes—
133#2532C2214yes—
134#2530C2212yes—
135#2528C2212yes—
136#2521C2214yes—
137#2517C2212yes—
138#2513C2212yes—
139#2513C2212yes—
140#2512C2212yes—
141#2511C2211yescharacteristic
142#2511C2212yes—
143#2510C2214yes—
144#2507C2212yes—
145#2506C2212yes—
146#2506C2211yescharacteristic
147#2505C2214yes—
148#2501C2212yes—
149#2500C2212yes—
150#2499C2211yescharacteristic
151#2497C2214yes—
152#2496C2212yes—
153#2495C2212yes—
154#2494C2211yescharacteristic
155#2492C2212yes—
156#2491C2212yes—
157#2491C2212yes—
158#2490C2212yes—
159#2489C2211yescharacteristic
160#2488C2214yes—
161#2487C2212yes—
162#2487C2212yes—
163#2487C2212yes—
164#2486C2212yes—
165#2485C2212yes—
166#2485C2212yes—
167#2485C2211yescharacteristic
168#2477C2214yes—
169#2476C2214yes—
170#2474C2214yes—
171#2467C2214yes—
172#2464C2214yes—
173#2463C2214yes—
174#2462C2214yes—
175#2460C2212yes—
176#2458C2214yes—
177#2457C2214yes—
178#2454C2212yes—
179#2454C2212yes—
180#2453C2212yes—
181#2453C2212yes—
182#2452C2212yes—
183#2452C2212yes—
184#2452C2212yes—
185#2449C2214yes—
186#2448C2212yes—
187#2445C2212yes—
188#2445C2212yes—
189#2445C2212yes—
190#2445C2212yes—
191#2443C2214yes—
192#2442C2212yes—
193#2441C2211yescharacteristic
194#2441C2212yes—
195#2440C2212yes—
196#2438C2214yes—
197#2436C2212yes—
198#2432C2212yes—
199#2431C2212yes—
200#2431C2212yes—
201#2430C2214yes—
202#2428C2214yes—
203#2428C2212yes—
204#2425C2214yes—
205#2422C2212yes—
206#2422C2212yes—
207#2420C2212yes—
208#2417C2212yes—
209#2417C2212yes—
210#2416C2212yes—
211#2416C2212yes—
212#2416C2212yes—
213#2416C2212yes—
214#2416C2212yes—
215#2415C2211yescharacteristic
216#2414C2212yes—
217#2414C2212yes—
218#2414C2212yes—
219#2409C2214yes—
220#2409C2214yes—
221#2407C2212yes—
222#2407C2212yes—
223#2407C2212yes—
224#2407C2212yes—
225#2401C2212yes—
226#2395C2212yes—
227#2388C2214yes—
228#2377C2214yes—
229#2376C2214yes—
230#2369C2211yescharacteristic
231#2368C2214yes—
232#2367C2212yes—
233#2367C2212yes—
234#2366C2212yes—
235#2366C2211yescharacteristic
236#2366C2211yescharacteristic
237#2363C2212yes—
238#2363C2212yes—
239#2363C2211yescharacteristic
240#2363C2211yescharacteristic
241#2363C2212yes—
242#2361C2212yes—
243#2361C2214yes—
244#2361C2212yes—
245#2361C2212yes—
246#2359C2214yes—
247#2357C2212yes—
248#2354C2212yes—
249#2354C2212yes—
250#2354C2211yescharacteristic
251#2354C2211yescharacteristic
252#2354C2212yes—
253#2352C2212yes—
254Q8×C4⋊C4C2211yescharacteristic
255#2349C2212yes—
256D4×C4⋊C4C2212yes—
257D4×C4⋊C4C2211yescharacteristic
258D4×C4⋊C4C2212yes—
259#2347C2212yes—
260#2341C2211yescharacteristic
261#2341C2211yescharacteristic
262#2339C2212yes—
263#2339C2212yes—
264#2335C2214yes—
265#2330C2212yes—
266#2328C2212yes—
267#2325C2214yes—
268#2324C2214yes—
269#2322C2214yes—
270#2320C2212yes—
271#2317C2212yes—
272#2311C2212yes—
273C4×C4⋊Q8C2211yescharacteristic
274C4×#127C2211yescharacteristic
275C4×#127C2212yes—
276C4×#127C2212yes—
277C4×#125C2211yescharacteristic
278C4×#125C2212yes—
279C4×#125C2212yes—
280C4×#124C2212yes—
281C4×C22⋊Q8C2211yescharacteristic
282C4×C22⋊Q8C2211yescharacteristic
283C4×#121C2211yescharacteristic
284C4×#121C2212yes—
285C4×#121C2212yes—
286C4×#121C2212yes—
287C4×#121C2211yescharacteristic
288C4×#121C2212yes—
289#2298C2212yes—
290#2297C2212yes—
291#2295C2211yescharacteristic
292#2293C2212yes—
293C2×#389C2212yes—
294#2285C2211yescharacteristic
295C42×Q8C2211yescharacteristic
296C42×D4C2212yes—
297C42×D4C2211yescharacteristic
298C4×#117C2211yescharacteristic
299C22×#41C2311yescharacteristic
300C22×#41C2311yescharacteristic
301C22×#41C2312yes—
302C22×#41C2312yes—
303C23×Q8C2312yes—
304#554—44no—
305#550—28no—
306#550—44no—
307#548—48no—
308#540—216no—
309#539—416no—
310#532—44no—
311C2×C4⋊Q8—44no—
312C2×C4⋊Q8C2311yescharacteristic
313C2×C4⋊Q8C2311yescharacteristic
314C2×C4⋊Q8C2312yes—
315C2×C4⋊Q8C2312yes—
316C2×C4⋊Q8C2312yes—
317C2×#127C2312yes—
318C2×#127C2312yes—
319C2×#127C2311yescharacteristic
320C2×#127C2311yescharacteristic
321C2×#127C2312yes—
322C2×#126C2314yes—
323C2×#126C2314yes—
324C2×#125C2312yes—
325C2×#125C2312yes—
326C2×#125C2311yescharacteristic
327C2×#125C2312yes—
328C2×#125C2314yes—
329C2×#124C2312yes—
330C2×#124C2312yes—
331C2×#124C2312yes—
332C2×#124C2314yes—
333C2×#124C2312yes—
334C2×#123C2314yes—
335C2×#123C2314yes—
336C2×#123C2314yes—
337C2×#123C2314yes—
338C2×#123C2314yes—
339C2×#123C2314yes—
340C2×C22⋊Q8C2314yes—
341C2×C22⋊Q8C2312yes—
342C2×C22⋊Q8C2312yes—
343C2×C22⋊Q8C2314yes—
344C2×C22⋊Q8C2311yescharacteristic
345C2×C22⋊Q8C2311yescharacteristic
346C2×C22⋊Q8C2314yes—
347C2×C22⋊Q8C2314yes—
348C2×C22⋊Q8C2314yes—
349C2×#121C2314yes—
350C2×#121C2312yes—
351C2×#121C2314yes—
352C2×#121C2312yes—
353C2×#121C2311yescharacteristic
354C2×#121C2312yes—
355C2×#121C2312yes—
356C2×#121C2312yes—
357C2×#121C2312yes—
358C2×#121C2312yes—
359C2×#121C2312yes—
360C2×#121C2312yes—
361C2×#121C2314yes—
362C2×#121C2312yes—
363C2×#121C2314yes—
364C2×#121C2314yes—
365C2×#121C2314yes—
366C2×#121C2314yes—
367C2×#121C2311yescharacteristic
368C4×#41—44no—
369C4×#41—44no—
370C2×C4×Q8C2311yescharacteristic
371C2×C4×Q8C2311yescharacteristic
372C2×C4×Q8C2311yescharacteristic
373C2×C4×Q8C2311yescharacteristic
374C2×C4×Q8C2312yes—
375C2×C4×Q8C2311yescharacteristic
376C2×C4×Q8C2311yescharacteristic
377C2×C4×D4C2311yescharacteristic
378C2×C4×D4C2311yescharacteristic
379C2×C4×D4C2312yes—
380C2×C4×D4C2312yes—
381C2×C4×D4C2311yescharacteristic
382C2×C4×D4C2312yes—
383C2×C4×D4C2312yes—
384C2×C4×D4C2311yescharacteristic
385C2×C4×D4C2311yescharacteristic
386C2×C4×D4C2312yes—
387C2×C4×D4C2311yescharacteristic
388C2×C4×D4C2312yes—
389C2×C4×D4C2314yes—
390C2×C4×D4C2312yes—
391C2×C4×D4C2312yes—
392C2×C4×D4C2312yes—
393C2×C4×D4C2312yes—
394C2×C4×D4C2312yes—
395C2×C4×D4C2312yes—
396C2×C4×D4C2314yes—
397C2×C4×D4C2312yes—
398C2×C4×D4C2312yes—
399C2×C4×D4C2312yes—
400C2×C4×D4C2312yes—
401C2×C4×D4C2312yes—
402C2×C4×D4C2311yescharacteristic
403C2×C4×D4C2314yes—
404C2×C4×D4C2314yes—
405C2×#117C2312yes—
406C2×#117C2311yescharacteristic
407C2×#117C2312yes—
408C2×#117C2311yescharacteristic
409C2×#117C2312yes—
410C2×#117C2312yes—
411C2×#117C2311yescharacteristic
412C2×#117C2311yescharacteristic
413C2×#117C2314yes—
414C22×C4⋊C4C2312yes—
415C22×C4⋊C4C2314yes—
416C22×C4⋊C4C2312yes—
417C22×C4⋊C4C2312yes—
418C22×C4⋊C4C2312yes—
419C22×C42C2311yescharacteristic
420C22×C42C2311yescharacteristic
421C22×C42C2312yes—
422C22×C42C2312yes—
423#401C2312yes—
424#400C2314yes—
425#400C2314yes—
426#400C2314yes—
427#400C2312yes—
428#400C2312yes—
429#400C2314yes—
430#400C2314yes—
431#400C2314yes—
432#400C2312yes—
433#400C2312yes—
434#400C2314yes—
435#400C2314yes—
436#399C2314yes—
437#399C2312yes—
438#399C2314yes—
439#399C2314yes—
440#399C2314yes—
441#399C2314yes—
442#399C2314yes—
443#398C2314yes—
444#398C2314yes—
445#398C2314yes—
446#398C2314yes—
447#398C2314yes—
448#398C2314yes—
449#398C2314yes—
450#398C2314yes—
451#398C2312yes—
452#397C2314yes—
453#397C2314yes—
454#397C2312yes—
455#397C2314yes—
456#397C2314yes—
457#397C2314yes—
458#397C2312yes—
459#397C2312yes—
460#397C2314yes—
461#397C2312yes—
462#397C2312yes—
463#397C2312yes—
464#397C2314yes—
465#397C2314yes—
466#396C2314yes—
467#396C2314yes—
468#396C2314yes—
469#396C2314yes—
470#396C2314yes—
471#396C2314yes—
472#396C2314yes—
473#396C2312yes—
474#396C2314yes—
475#395C2314yes—
476#395C2314yes—
477#395C2314yes—
478#395C2314yes—
479#394C2314yes—
480#394C2314yes—
481#394C2314yes—
482#394C2314yes—
483#394C2314yes—
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#394C2314yes—
497#394C2312yes—
498#394C2312yes—
499#394C2314yes—
500#394C2314yes—
501#394C2314yes—
502#394C2314yes—
503#393C2314yes—
504#393C2314yes—
505#393C2314yes—
506#393C2314yes—
507#393C2314yes—
508#393C2314yes—
509#392C2314yes—
510#392C2314yes—
511#392C2314yes—
512#392C2314yes—
513#392C2314yes—
514#392C2314yes—
515#392C2314yes—
516#392C2314yes—
517#391C2314yes—
518#391C2312yes—
519#391C2312yes—
520#391C2312yes—
521#391C2312yes—
522#391C2314yes—
523#391C2314yes—
524#391C2312yes—
525#391C2312yes—
526#391C2314yes—
527#391C2311yescharacteristic
528#391C2312yes—
529#391C2311yescharacteristic
530#391C2311yescharacteristic
531#391C2311yescharacteristic
532#390C2314yes—
533#390C2312yes—
534#390C2312yes—
535#390C2312yes—
536#390C2314yes—
537#390C2311yescharacteristic
538#390C2311yescharacteristic
539#390C2312yes—
540#390C2312yes—
541#390C2312yes—
542#390C2312yes—
543#390C2312yes—
544#390C2312yes—
545#390C2314yes—
546#390C2312yes—
547#390C2312yes—
548#390C2312yes—
549#390C2312yes—
550#390C2312yes—
551#390C2314yes—
552#390C2312yes—
553#390C2312yes—
554#390C2311yescharacteristic
555#390C2311yescharacteristic
556#390C2312yes—
557#390C2312yes—
558#390C2312yes—
559#390C2312yes—
560#390C2312yes—
561#390C2312yes—
562#390C2312yes—
563#390C2312yes—
564#390C2312yes—
565#390C2312yes—
566#390C2312yes—
567#389C2311yescharacteristic
568#389C2312yes—
569#389C2311yescharacteristic
570#389C2312yes—
571#389C2312yes—
572#389C2311yescharacteristic
573#389C2312yes—
574#389C2312yes—
575#389C2312yes—
576#389C2312yes—
577#389C2312yes—
578#389C2312yes—
579#389C2312yes—
580#389C2312yes—
581#389C2312yes—
582#389C2314yes—
583#389C2314yes—
584#389C2312yes—
585#389C2314yes—
586#389C2312yes—
587#389C2312yes—
588#389C2314yes—
589#389C2312yes—
590#389C2314yes—
591#389C2314yes—
592#389C2312yes—
593#389C2311yescharacteristic
594#389C2312yes—
595#389C2312yes—
596#389C2311yescharacteristic
597#389C2314yes—
598#389C2312yes—
599#389C2312yes—
600#389C2311yescharacteristic
601#389C2314yes—
602#389C2311yescharacteristic
603#389C2311yescharacteristic
604#388C2314yes—
605#388C2314yes—
606#388C2314yes—
607#388C2314yes—
608#388C2314yes—
609#388C2314yes—
610#388C2314yes—
611#388C2314yes—
612#388C2314yes—
613#388C2314yes—
614#388C2314yes—
615#388C2312yes—
616#388C2312yes—
617#388C2312yes—
618#388C2314yes—
619#388C2314yes—
620#388C2314yes—
621#388C2312yes—
622#388C2314yes—
623#388C2314yes—
624#388C2314yes—
625#388C2314yes—
626#388C2312yes—
627#388C2314yes—
628#388C2314yes—
629#388C2314yes—
630#388C2314yes—
631#388C2314yes—
632#388C2314yes—
633#388C2312yes—
634#388C2312yes—
635#388C2312yes—
636#388C2312yes—
637#388C2314yes—
638#388C2314yes—
639#388C2314yes—
640#388C2312yes—
641#387C2314yes—
642#387C2312yes—
643#387C2312yes—
644#387C2312yes—
645#387C2314yes—
646#387C2312yes—
647#387C2312yes—
648#387C2312yes—
649#387C2314yes—
650#387C2314yes—
651#387C2314yes—
652#387C2314yes—
653#387C2314yes—
654#387C2314yes—
655#387C2314yes—
656#387C2312yes—
657#387C2312yes—
658#387C2314yes—
659#387C2314yes—
660#387C2312yes—
661#387C2314yes—
662#387C2312yes—
663#387C2312yes—
664#387C2312yes—
665#387C2312yes—
666#387C2312yes—
667#386C2312yes—
668#386C2314yes—
669#386C2314yes—
670#386C2314yes—
671#386C2314yes—
672#386C2314yes—
673#386C2314yes—
674#386C2314yes—
675#386C2314yes—
676#386C2312yes—
677#386C2314yes—
678#386C2314yes—
679#386C2314yes—
680#386C2314yes—
681#386C2314yes—
682#386C2314yes—
683#386C2314yes—
684#386C2314yes—
685#386C2314yes—
686#386C2314yes—
687#386C2314yes—
688#386C2312yes—
689#386C2312yes—
690#386C2312yes—
691#386C2312yes—
692#386C2314yes—
693#386C2314yes—
694#386C2314yes—
695#386C2314yes—
696#385C2314yes—
697#385C2314yes—
698#385C2314yes—
699#385C2314yes—
700#385C2314yes—
701#385C2314yes—
702#385C2314yes—
703#385C2314yes—
704#385C2314yes—
705#385C2314yes—
706#385C2314yes—
707#385C2314yes—
708#385C2314yes—
709#385C2314yes—
710#385C2314yes—
711#385C2314yes—
712#385C2314yes—
713#385C2312yes—
714#385C2312yes—
715#384C2311yescharacteristic
716#384C2312yes—
717#384C2312yes—
718#384C2311yescharacteristic
719#384C2312yes—
720#384C2312yes—
721#384C2311yescharacteristic
722#384C2311yescharacteristic
723#384C2312yes—
724#383C2314yes—
725#383C2314yes—
726#382C2312yes—
727#382C2311yescharacteristic
728#382C2312yes—
729#382C2312yes—
730#382C2312yes—
731#382C2314yes—
732#382C2312yes—
733#381C2314yes—
734#381C2314yes—
735#381C2314yes—
736#380C2312yes—
737#380C2312yes—
738#380C2312yes—
739#380C2312yes—
740#380C2312yes—
741#380C2312yes—
742#380C2312yes—
743#380C2312yes—
744#380C2314yes—
745#380C2314yes—
746#380C2314yes—
747#380C2314yes—
748#380C2314yes—
749#380C2312yes—
750#380C2311yescharacteristic
751#380C2311yescharacteristic
752#380C2312yes—
753#380C2312yes—
754#380C2312yes—
755#380C2311yescharacteristic
756#380C2314yes—
757#380C2312yes—
758#380C2314yes—
759#380C2311yescharacteristic
760#380C2311yescharacteristic
761#380C2311yescharacteristic
762C4×C4⋊C4C2314yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2314yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2311yescharacteristic
781C4×C4⋊C4C2311yescharacteristic
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2311yescharacteristic
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2311yescharacteristic
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2311yescharacteristic
789C4×C4⋊C4C2312yes—
790C4×C4⋊C4C2311yescharacteristic
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2314yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2311yescharacteristic
802C4×C22⋊C4C2311yescharacteristic
803C4×C22⋊C4C2311yescharacteristic
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2311yescharacteristic
807C4×C22⋊C4C2311yescharacteristic
808C4×C22⋊C4C2314yes—
809C4×C22⋊C4C2314yes—
810C4×C22⋊C4C2312yes—
811C4×C22⋊C4C2312yes—
812C4×C22⋊C4C2311yescharacteristic
813#376C2312yes—
814#376C2312yes—
815C2×#95C2314yes—
816C2×#95C2314yes—
817C43C2312yes—
818C43C2311yescharacteristic
819C43C2312yes—
820C2×#41—24no—
821C2×#41—24no—
822C2×#41—24no—
823C2×#41—24no—
824C2×#41—44no—
825C2×#41—42no—
826C2×#41—42no—
827C2×#41—44no—
828C2×#41—44no—
829C2×#41—44no—
830C2×#41—44no—
831C2×#41—82no—
832C22×Q8—44no—
833C22×Q8—44no—
834C22×Q8—82no—
835C22×Q8C2411yescharacteristic
836C22×Q8C2411yescharacteristic
837C22×Q8C2412yes—
838C22×Q8C2414yes—
839C22×Q8C2412yes—
840C22×D4C2412yes—
841C22×D4C2412yes—
842C22×D4C2411yescharacteristic
843C22×D4C2411yescharacteristic
844C22×D4C2412yes—
845C22×D4C2412yes—
846C22×D4C2412yes—
847C22×D4C2411yescharacteristic
848C22×D4C2414yes—
849C22×D4C2412yes—
850C22×D4C2412yes—
851C22×D4C2414yes—
852C22×D4C2414yes—
853C22×D4C2412yes—
854C22×D4C2414yes—
855C22×D4C2414yes—
856C22×D4C2414yes—
857C22×D4C2412yes—
858C23×C4C2411yescharacteristic
859C23×C4C2412yes—
860C23×C4C2411yescharacteristic
861C23×C4C2412yes—
862C23×C4C2411yescharacteristic
863C23×C4C2412yes—
864C23×C4C2412yes—
865C23×C4C2411yescharacteristic
866C23×C4C2411yescharacteristic
867C23×C4C2411yescharacteristic
868C23×C4C2412yes—
869C23×C4C2414yes—
870C23×C4C2414yes—
871C23×C4C2414yes—
872C23×C4C2412yes—
873C23×C4C2414yes—
874C23×C4C2414yes—
875C23×C4C2414yes—
876C4⋊Q8—24no—
877C4⋊Q8—24no—
878C4⋊Q8—44no—
879C4⋊Q8—44no—
880C4⋊Q8—44no—
881#127—28no—
882#127—28no—
883#127—24no—
884#127—24no—
885#127—44no—
886#126—48no—
887#126—48no—
888#125—28no—
889#125—28no—
890#125—42no—
891#125—48no—
892#125—44no—
893#124—28no—
894#124—44no—
895#124—44no—
896#124—48no—
897#124—82no—
898#123—216no—
899#123—216no—
900#123—48no—
901#123—48no—
902#123—48no—
903#123—48no—
904C22⋊Q8—216no—
905C22⋊Q8—48no—
906C22⋊Q8—48no—
907C22⋊Q8—44no—
908C22⋊Q8—42no—
909C22⋊Q8—42no—
910C22⋊Q8—48no—
911C22⋊Q8—44no—
912C22⋊Q8—84no—
913#121—216no—
914#121—216no—
915#121—28no—
916#121—28no—
917#121—24no—
918#121—28no—
919#121—44no—
920#121—48no—
921#121—48no—
922#121—48no—
923#121—44no—
924#121—44no—
925#121—44no—
926#121—44no—
927#121—44no—
928#121—44no—
929#121—84no—
930#121—84no—
931#121#4118yescomplemented
932C4×Q8—24no—
933C4×Q8—24no—
934C4×Q8—24no—
935C4×Q8—24no—
936C4×Q8—44no—
937C4×Q8—42no—
938C4×Q8—42no—
939C4×D4—28no—
940C4×D4—24no—
941C4×D4—28no—
942C4×D4—28no—
943C4×D4—24no—
944C4×D4—28no—
945C4×D4—24no—
946C4×D4—24no—
947C4×D4—44no—
948C4×D4—42no—
949C4×D4—42no—
950C4×D4—44no—
951C4×D4—44no—
952C4×D4—44no—
953C4×D4—44no—
954C4×D4—44no—
955C4×D4—44no—
956C4×D4—42no—
957C4×D4—44no—
958C4×D4—44no—
959C4×D4—44no—
960C4×D4—44no—
961C4×D4—48no—
962C4×D4—44no—
963C4×D4—44no—
964C4×D4—48no—
965C4×D4—84no—
966C4×D4—84no—
967#117—28no—
968#117—44no—
969#117—44no—
970#117—44no—
971#117—42no—
972#117—42no—
973#117—42no—
974#117—42no—
975#117—84no—
976C2×C4⋊C4—44no—
977C2×C4⋊C4—44no—
978C2×C4⋊C4—44no—
979C2×C4⋊C4—48no—
980C2×C4⋊C4—44no—
981C2×C4⋊C4C2411yescharacteristic
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2411yescharacteristic
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2414yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2411yescharacteristic
991C2×C4⋊C4C2411yescharacteristic
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2411yescharacteristic
994C2×C4⋊C4C2411yescharacteristic
995C2×C4⋊C4C2411yescharacteristic
996C2×C4⋊C4C2411yescharacteristic
997C2×C4⋊C4C2411yescharacteristic
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2411yescharacteristic
1001C2×C4⋊C4C2411yescharacteristic
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2414yes—
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2411yescharacteristic
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2414yes—
1010C2×C4⋊C4C2414yes—
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2414yes—
1015C2×C4⋊C4C2414yes—
1016C2×C4⋊C4C2414yes—
1017C2×C4⋊C4C2414yes—
1018C2×C4⋊C4C2414yes—
1019C2×C4⋊C4C2414yes—
1020C2×C4⋊C4C2412yes—
1021C2×C4⋊C4C2412yes—
1022C2×C4⋊C4C2412yes—
1023C2×C4⋊C4C2414yes—
1024C2×C4⋊C4C2414yes—
1025C2×C4⋊C4C2414yes—
1026C2×C4⋊C4C2414yes—
1027C2×C4⋊C4C2412yes—
1028C2×C4⋊C4C2412yes—
1029C2×C4⋊C4C2411yescharacteristic
1030C2×C4⋊C4C2412yes—
1031C2×C4⋊C4C2412yes—
1032C2×C4⋊C4C2412yes—
1033C2×C4⋊C4C2412yes—
1034C2×C4⋊C4C2414yes—
1035C2×C4⋊C4C2412yes—
1036C2×C4⋊C4C2414yes—
1037C2×C4⋊C4C2414yes—
1038C2×C4⋊C4C2412yes—
1039C2×C4⋊C4C2412yes—
1040C2×C4⋊C4C2414yes—
1041C2×C4⋊C4C2412yes—
1042C2×C4⋊C4C2412yes—
1043C2×C4⋊C4C2411yescharacteristic
1044C2×C4⋊C4C2411yescharacteristic
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2411yescharacteristic
1050C2×C22⋊C4C2411yescharacteristic
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2411yescharacteristic
1053C2×C22⋊C4C2414yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2411yescharacteristic
1058C2×C22⋊C4C2414yes—
1059C2×C22⋊C4C2414yes—
1060C2×C22⋊C4C2414yes—
1061C2×C22⋊C4C2414yes—
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2412yes—
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2414yes—
1068C2×C22⋊C4C2414yes—
1069C2×C22⋊C4C2412yes—
1070C2×C22⋊C4C2412yes—
1071C2×C22⋊C4C2414yes—
1072C2×C22⋊C4C2412yes—
1073C2×C22⋊C4C2414yes—
1074C2×C22⋊C4C2414yes—
1075C2×C22⋊C4C2414yes—
1076C2×C22⋊C4C2414yes—
1077C2×C22⋊C4C2414yes—
1078C2×C22⋊C4C2414yes—
1079C2×C22⋊C4C2414yes—
1080C2×C22⋊C4C2414yes—
1081C2×C22⋊C4C2412yes—
1082C2×C22⋊C4C2412yes—
1083C2×C22⋊C4C2411yescharacteristic
1084C2×C22⋊C4C2412yes—
1085C2×C22⋊C4C2411yescharacteristic
1086C2×C22⋊C4C2412yes—
1087C2×C22⋊C4C2412yes—
1088C2×C22⋊C4C2412yes—
1089C2×C22⋊C4C2412yes—
1090C2×C22⋊C4C2412yes—
1091C2×C22⋊C4C2414yes—
1092C2×C22⋊C4C2412yes—
1093C2×C22⋊C4C2414yes—
1094C2×C22⋊C4C2414yes—
1095C2×C22⋊C4C2414yes—
1096C2×C22⋊C4C2414yes—
1097C2×C22⋊C4C2414yes—
1098C2×C22⋊C4C2414yes—
1099C2×C22⋊C4C2414yes—
1100C2×C22⋊C4C2414yes—
1101C2×C22⋊C4C2414yes—
1102C2×C22⋊C4C2412yes—
1103C2×C22⋊C4C2412yes—
1104C2×C22⋊C4C2414yes—
1105C2×C22⋊C4C2414yes—
1106C2×C22⋊C4C2412yes—
1107C2×C42—24no—
1108C2×C42—24no—
1109C2×C42—44no—
1110C2×C42—44no—
1111C2×C42C2411yescharacteristic
1112C2×C42C2411yescharacteristic
1113C2×C42C2412yes—
1114C2×C42C2412yes—
1115C2×C42C2411yescharacteristic
1116C2×C42C2411yescharacteristic
1117C2×C42C2412yes—
1118C2×C42C2412yes—
1119C2×C42C2412yes—
1120C2×C42C2412yes—
1121C2×C42C2411yescharacteristic
1122C2×C42C2411yescharacteristic
1123C2×C42C2411yescharacteristic
1124C2×C42C2412yes—
1125C2×C42C2411yescharacteristic
1126C2×C42C2411yescharacteristic
1127C2×C42C2412yes—
1128C2×C42C2411yescharacteristic
1129C2×C42C2412yes—
1130C2×C42C2412yes—
1131C2×C42C2411yescharacteristic
1132C2×C42C2412yes—
1133C2×C42C2412yes—
1134C2×C42C2412yes—
1135C2×C42C2414yes—
1136C2×C42C2412yes—
1137C2×C42C2412yes—
1138C2×C42C2414yes—
1139C2×C42C2412yes—
1140C2×C42C2414yes—
1141C2×C42C2412yes—
1142C2×C42C2412yes—
1143C2×C42C2411yescharacteristic
1144C2×C42C2411yescharacteristic
1145#95C2412yes—
1146#95C2412yes—
1147#95C2412yes—
1148#95C2414yes—
1149#95C2414yes—
1150#95C2414yes—
1151#95C2414yes—
1152#95C2414yes—
1153#95C2412yes—
1154#95C2412yes—
1155#95C2412yes—
1156#95C2412yes—
1157#95C2412yes—
1158#95C2412yes—
1159#95C2412yes—
1160#95C2412yes—
1161#95C2411yescharacteristic
1162#95C2411yescharacteristic
1163#95C2412yes—
1164#95C2412yes—
1165#95C2411yescharacteristic
1166#95C2411yescharacteristic
1167#95C2412yes—
1168#95C2411yescharacteristic
1169#95C2412yes—
1170#95C2412yes—
1171#95C2412yes—
1172#95C2411yescharacteristic
1173#95C2412yes—
1174#95C2414yes—
1175#95C2414yes—
1176#95C2414yes—
1177#95C2414yes—
1178#95C2414yes—
1179#95C2414yes—
1180#95C2414yes—
1181#95C2412yes—
1182#95C2414yes—
1183#95C2412yes—
1184#95C2412yes—
1185#95C2412yes—
1186#95C2412yes—
1187#95C2412yes—
1188#95C2412yes—
1189#95C2414yes—
1190#95C2414yes—
1191#95C2414yes—
1192#95C2412yes—
1193#95C2414yes—
1194#95C2412yes—
1195#95C2414yes—
1196#95C2412yes—
1197#95C2412yes—
1198#95C2414yes—
1199#95C2412yes—
1200#95C2412yes—
1201#95C2414yes—
1202#95C2412yes—
1203#95C2414yes—
1204#95C2414yes—
1205#95C2414yes—
1206#95C2414yes—
1207C24C2514yes—
1208C24C2512yes—
1209C24C2511yescharacteristic
1210C24C2512yes—
1211C24C2511yescharacteristic
1212#41—416no—
1213#41—416no—
1214#41—816no—
1215#41—816no—
1216C2×Q8—22no—
1217C2×Q8—22no—
1218C2×Q8—22no—
1219C2×Q8—24no—
1220C2×Q8—28no—
1221C2×Q8—24no—
1222C2×Q8—22no—
1223C2×Q8—22no—
1224C2×Q8—42no—
1225C2×Q8—42no—
1226C2×Q8—42no—
1227C2×Q8—44no—
1228C2×Q8—42no—
1229C2×Q8—44no—
1230C2×Q8—816no—
1231C2×Q82−1+414yes—
1232C2×D4—22no—
1233C2×D4—24no—
1234C2×D4—24no—
1235C2×D4—24no—
1236C2×D4—28no—
1237C2×D4—24no—
1238C2×D4—28no—
1239C2×D4—28no—
1240C2×D4—24no—
1241C2×D4—22no—
1242C2×D4—24no—
1243C2×D4—22no—
1244C2×D4—22no—
1245C2×D4—22no—
1246C2×D4—24no—
1247C2×D4—24no—
1248C2×D4—24no—
1249C2×D4—24no—
1250C2×D4—22no—
1251C2×D4—24no—
1252C2×D4—24no—
1253C2×D4—24no—
1254C2×D4—22no—
1255C2×D4—24no—
1256C2×D4—24no—
1257C2×D4—42no—
1258C2×D4—42no—
1259C2×D4—42no—
1260C2×D4—41no—
1261C2×D4—42no—
1262C2×D4—42no—
1263C2×D4—44no—
1264C2×D4—44no—
1265C2×D4—42no—
1266C2×D4—42no—
1267C2×D4—44no—
1268C2×D4—44no—
1269C2×D4—42no—
1270C2×D4—44no—
1271C2×D4—44no—
1272C2×D4—44no—
1273C2×D4—44no—
1274C2×D4—44no—
1275C2×D4—42no—
1276C2×D4—42no—
1277C2×D4—44no—
1278C2×D4—42no—
1279C2×D4—44no—
1280C2×D4—44no—
1281C2×D4—44no—
1282C2×D4—44no—
1283C2×D4—44no—
1284C2×D4C2×#4114yes—
1285C2×D4C2×#4118yes—
1286C22×C4—22no—
1287C22×C4—22no—
1288C22×C4—24no—
1289C22×C4—28no—
1290C22×C4—24no—
1291C22×C4—22no—
1292C22×C4—22no—
1293C22×C4—22no—
1294C22×C4—22no—
1295C22×C4—22no—
1296C22×C4—22no—
1297C22×C4—24no—
1298C22×C4—24no—
1299C22×C4—22no—
1300C22×C4—22no—
1301C22×C4—24no—
1302C22×C4—24no—
1303C22×C4—22no—
1304C22×C4—24no—
1305C22×C4—22no—
1306C22×C4—22no—
1307C22×C4—24no—
1308C22×C4—24no—
1309C22×C4—22no—
1310C22×C4—24no—
1311C22×C4—22no—
1312C22×C4—28no—
1313C22×C4—24no—
1314C22×C4—24no—
1315C22×C4—28no—
1316C22×C4—42no—
1317C22×C4—42no—
1318C22×C4—41no—
1319C22×C4—41no—
1320C22×C4—42no—
1321C22×C4—42no—
1322C22×C4—44no—
1323C22×C4—44no—
1324C22×C4—44no—
1325C22×C4—44no—
1326C22×C4—44no—
1327C22×C4—44no—
1328C22×C4—44no—
1329C22×C4—44no—
1330C22×C4—42no—
1331C22×C4—44no—
1332C22×C4—44no—
1333C22×C4—42no—
1334C22×C4—44no—
1335C22×C4—44no—
1336C22×C4—44no—
1337C22×C4—44no—
1338C22×C4—44no—
1339C22×C4C2×#4114yes—
1340C22×C4C2511yescharacteristic
1341C22×C4C2512yes—
1342C22×C4C2511yescharacteristic
1343C22×C4C2512yes—
1344C22×C4C2512yes—
1345C22×C4C2511yescharacteristic
1346C22×C4C2512yes—
1347C22×C4C2512yes—
1348C22×C4C2511yescharacteristic
1349C22×C4C2512yes—
1350C22×C4C2512yes—
1351C22×C4C2512yes—
1352C22×C4C2514yes—
1353C22×C4C2512yes—
1354C22×C4C2514yes—
1355C22×C4C2511yescharacteristic
1356C22×C4C2511yescharacteristic
1357C22×C4C2512yes—
1358C22×C4C2514yes—
1359C22×C4C2512yes—
1360C22×C4C2512yes—
1361C22×C4C2512yes—
1362C22×C4C2511yescharacteristic
1363C22×C4C2511yescharacteristic
1364C22×C4C2511yescharacteristic
1365C22×C4C2511yescharacteristic
1366C22×C4C2511yescharacteristic
1367C22×C4C2512yes—
1368C22×C4C2511yescharacteristic
1369C22×C4C2511yescharacteristic
1370C4⋊C4—24no—
1371C4⋊C4—24no—
1372C4⋊C4—22no—
1373C4⋊C4—24no—
1374C4⋊C4—24no—
1375C4⋊C4—28no—
1376C4⋊C4—28no—
1377C4⋊C4—22no—
1378C4⋊C4—24no—
1379C4⋊C4—24no—
1380C4⋊C4—24no—
1381C4⋊C4—24no—
1382C4⋊C4—28no—
1383C4⋊C4—24no—
1384C4⋊C4—24no—
1385C4⋊C4—22no—
1386C4⋊C4—22no—
1387C4⋊C4—22no—
1388C4⋊C4—24no—
1389C4⋊C4—28no—
1390C4⋊C4—24no—
1391C4⋊C4—24no—
1392C4⋊C4—24no—
1393C4⋊C4—24no—
1394C4⋊C4—24no—
1395C4⋊C4—22no—
1396C4⋊C4—22no—
1397C4⋊C4—24no—
1398C4⋊C4—22no—
1399C4⋊C4—22no—
1400C4⋊C4—22no—
1401C4⋊C4—22no—
1402C4⋊C4—22no—
1403C4⋊C4—44no—
1404C4⋊C4—44no—
1405C4⋊C4—44no—
1406C4⋊C4—44no—
1407C4⋊C4—44no—
1408C4⋊C4—44no—
1409C4⋊C4—42no—
1410C4⋊C4—42no—
1411C4⋊C4—42no—
1412C4⋊C4—44no—
1413C4⋊C4—41no—
1414C4⋊C4—42no—
1415C4⋊C4—42no—
1416C4⋊C4—42no—
1417C4⋊C4—42no—
1418C4⋊C4—44no—
1419C4⋊C4—44no—
1420C4⋊C4—44no—
1421C4⋊C4—42no—
1422C4⋊C4—42no—
1423C4⋊C4—42no—
1424C4⋊C4—42no—
1425C4⋊C4—44no—
1426C4⋊C4—44no—
1427C4⋊C4—44no—
1428C4⋊C4—42no—
1429C4⋊C4—44no—
1430C4⋊C4—42no—
1431C4⋊C4—42no—
1432C4⋊C4C2×#4114yes—
1433C4⋊C4H(5,𝔽2)14yes—
1434C22⋊C4—24no—
1435C22⋊C4—24no—
1436C22⋊C4—22no—
1437C22⋊C4—28no—
1438C22⋊C4—22no—
1439C22⋊C4—24no—
1440C22⋊C4—28no—
1441C22⋊C4—28no—
1442C22⋊C4—24no—
1443C22⋊C4—24no—
1444C22⋊C4—22no—
1445C22⋊C4—24no—
1446C22⋊C4—24no—
1447C22⋊C4—22no—
1448C22⋊C4—28no—
1449C22⋊C4—28no—
1450C22⋊C4—28no—
1451C22⋊C4—28no—
1452C22⋊C4—42no—
1453C22⋊C4—44no—
1454C22⋊C4—42no—
1455C22⋊C4—42no—
1456C22⋊C4—42no—
1457C22⋊C4—42no—
1458C22⋊C4—42no—
1459C22⋊C4—44no—
1460C22⋊C4—44no—
1461C22⋊C4—42no—
1462C22⋊C4—41no—
1463C22⋊C4—42no—
1464C22⋊C4—41no—
1465C22⋊C4—42no—
1466C22⋊C4—42no—
1467C22⋊C4—44no—
1468C22⋊C4—42no—
1469C22⋊C4—42no—
1470C22⋊C4—42no—
1471C22⋊C4—42no—
1472C22⋊C4—44no—
1473C22⋊C4—44no—
1474C22⋊C4—44no—
1475C22⋊C4—44no—
1476C22⋊C4—44no—
1477C22⋊C4—44no—
1478C22⋊C4—44no—
1479C22⋊C4—42no—
1480C22⋊C4—44no—
1481C22⋊C4—44no—
1482C22⋊C4—44no—
1483C22⋊C4—44no—
1484C22⋊C4—44no—
1485C22⋊C4—44no—
1486C22⋊C4—42no—
1487C22⋊C4—44no—
1488C22⋊C4—44no—
1489C22⋊C4—44no—
1490C22⋊C4—42no—
1491C22⋊C4—42no—
1492C22⋊C4—44no—
1493C22⋊C4—44no—
1494C22⋊C4—44no—
1495C22⋊C4C2×#4118yes—
1496C42—24no—
1497C42—24no—
1498C42—24no—
1499C42—22no—
1500C42—22no—
1501C42—22no—
1502C42—22no—
1503C42—22no—
1504C42—22no—
1505C42—22no—
1506C42—24no—
1507C42—22no—
1508C42—24no—
1509C42—24no—
1510C42—24no—
1511C42—24no—
1512C42—22no—
1513C42—24no—
1514C42—22no—
1515C42—24no—
1516C42—22no—
1517C42—42no—
1518C42—42no—
1519C42—42no—
1520C42—42no—
1521C42—42no—
1522C42—44no—
1523C42—42no—
1524C42—42no—
1525C42—44no—
1526C42—44no—
1527C42—42no—
1528C42—41no—
1529C42H(5,𝔽2)14yes—
1530C23—22no—
1531C23—22no—
1532C23—21no—
1533C23—21no—
1534C23—21no—
1535C23—22no—
1536C23—21no—
1537C23—22no—
1538C23—22no—
1539C23—21no—
1540C23—21no—
1541C23—22no—
1542C23—24no—
1543C23—21no—
1544C23—22no—
1545C23—24no—
1546C23—22no—
1547C23—21no—
1548C23—22no—
1549C23—24no—
1550C23—21no—
1551C23—24no—
1552C23—22no—
1553C23—21no—
1554C23—21no—
1555C23—21no—
1556C23—22no—
1557C23—22no—
1558C23—24no—
1559C23—24no—
1560C23—22no—
1561C23—24no—
1562C23—21no—
1563C23C22×#4112yes—
1564C23C22×#4114yes—
1565C23C2611yescharacteristic
1566Q8—28no—
1567Q8—48no—
1568Q8—44no—
1569Q8—84no—
1570Q8—88no—
1571D4—28no—
1572D4—48no—
1573D4—48no—
1574D4—44no—
1575D4—48no—
1576D4—48no—
1577D4—48no—
1578D4—44no—
1579D4—48no—
1580D4—84no—
1581D4—84no—
1582D4—88no—
1583D4—84no—
1584D4—88no—
1585D4—88no—
1586D4—88no—
1587D4—88no—
1588D4—164no—
1589C2×C4—21no—
1590C2×C4—22no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—22no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—22no—
1599C2×C4—22no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—28no—
1604C2×C4—22no—
1605C2×C4—22no—
1606C2×C4—21no—
1607C2×C4—22no—
1608C2×C4—22no—
1609C2×C4—21no—
1610C2×C4—24no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—22no—
1616C2×C4—22no—
1617C2×C4—22no—
1618C2×C4—22no—
1619C2×C4—22no—
1620C2×C4—22no—
1621C2×C4—22no—
1622C2×C4—22no—
1623C2×C4—22no—
1624C2×C4—24no—
1625C2×C4—24no—
1626C2×C4—24no—
1627C2×C4—22no—
1628C2×C4—24no—
1629C2×C4—24no—
1630C2×C4—22no—
1631C2×C4—21no—
1632C2×C4—22no—
1633C2×C4—22no—
1634C2×C4—21no—
1635C2×C4—22no—
1636C2×C4—21no—
1637C2×C4—22no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—22no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—22no—
1645C2×C4—22no—
1646C2×C4—22no—
1647C2×C4—22no—
1648C2×C4—24no—
1649C2×C4—21no—
1650C2×C4—22no—
1651C2×C4—22no—
1652C2×C4—22no—
1653C2×C4—21no—
1654C2×C4—22no—
1655C2×C4—22no—
1656C2×C4—22no—
1657C2×C4—22no—
1658C2×C4—22no—
1659C2×C4—21no—
1660C2×C4—21no—
1661C2×C4—24no—
1662C2×C4—22no—
1663C2×C4—22no—
1664C2×C4—22no—
1665C2×C4—22no—
1666C2×C4—24no—
1667C2×C4—44no—
1668C2×C4—48no—
1669C2×C4—44no—
1670C2×C4—48no—
1671C2×C4—44no—
1672C2×C4—44no—
1673C2×C4—48no—
1674C2×C4—44no—
1675C2×C4—48no—
1676C2×C4—88no—
1677C2×C4—84no—
1678C2×C4—84no—
1679C2×C4—88no—
1680C2×C4—88no—
1681C2×C4—88no—
1682C2×C4—88no—
1683C2×C4—164no—
1684C2×C4C22×#4114yes—
1685C2×C4C22×#4112yes—
1686C2×C4C22×#4112yes—
1687C2×C4C2×H(5,𝔽2)12yes—
1688C2×C4C2×H(5,𝔽2)12yes—
1689C2×C4C2×H(5,𝔽2)12yes—
1690C2×C4C2×H(5,𝔽2)12yes—
1691C2×C4C2×H(5,𝔽2)12yes—
1692C2×C4C2×H(5,𝔽2)12yes—
1693C2×C4C2×2−1+414yes—
1694C2×C4C2×2−1+412yes—
1695C2×C4#58512yes—
1696C2×C4#58512yes—
1697C22—22no—
1698C22—24no—
1699C22—22no—
1700C22—24no—
1701C22—24no—
1702C22—22no—
1703C22—42no—
1704C22—41no—
1705C22—42no—
1706C22—41no—
1707C22—41no—
1708C22—42no—
1709C22—42no—
1710C22—41no—
1711C22—44no—
1712C22—41no—
1713C22—42no—
1714C22—42no—
1715C22—41no—
1716C22—44no—
1717C22—42no—
1718C22—41no—
1719C22—44no—
1720C22—44no—
1721C22—42no—
1722C22—41no—
1723C22—42no—
1724C22—41no—
1725C22—44no—
1726C22—41no—
1727C22—44no—
1728C22—42no—
1729C22—44no—
1730C22—41no—
1731C22—42no—
1732C22C23×#4111yescharacteristic
1733C22C22×H(5,𝔽2)11yescharacteristic
1734C22C22×H(5,𝔽2)11yescharacteristic
1735C22C22×2−1+411yescharacteristic
1736C22C2×#58511yescharacteristic
1737C22C2×#58511yescharacteristic
1738C22H(7,𝔽2)11yescharacteristic
1739C4—24no—
1740C4—22no—
1741C4—24no—
1742C4—22no—
1743C4—22no—
1744C4—22no—
1745C4—22no—
1746C4—42no—
1747C4—41no—
1748C4—42no—
1749C4—41no—
1750C4—41no—
1751C4—42no—
1752C4—42no—
1753C4—42no—
1754C4—41no—
1755C4—41no—
1756C4—42no—
1757C4—42no—
1758C4—42no—
1759C4—44no—
1760C4—42no—
1761C4—42no—
1762C4—44no—
1763C4—44no—
1764C4—42no—
1765C4—41no—
1766C4—42no—
1767C4#352014yes—
1768C4#356214yes—
1769C2—42no—
1770C2—44no—
1771C2—84no—
1772C2—82no—
1773C2—81no—
1774C2C2×#356211yescharacteristic
1775C2C2×#352011yescharacteristic
1776C2#6280011yescharacteristic
1777C2#6291211yescharacteristic
1778C2#6295211yescharacteristic
1779C2#6299211yescharacteristic
1780C2#6303911yescharacteristic
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. #59463C2semidirect
3. #59442C2semidirect
4. #59136C2semidirect
5. #59039C2semidirect
6. #51700C2semidirect
7. #49942C2semidirect
8. #46339C2semidirect
9. #45676C2semidirect
10. #45209C2semidirect
11. #44889C2semidirect
12. #43015C2semidirect
13. #42947C2semidirect
14. #42624C2semidirect
15. #41318C2semidirect
16. #40148C2semidirect
17. #40007C2semidirect
18. #39397C2semidirect
19. #39352C2semidirect
20. #39191C2semidirect
21. #39169C2semidirect
22. #39069C2semidirect
23. #36459C2semidirect
24. #36410C2semidirect
25. #36368C2semidirect
26. #36300C2semidirect
27. #36275C2semidirect
28. #36122C2semidirect
29. #35279C2semidirect
30. #35208C2semidirect
31. #35008C2semidirect
32. #34977C2semidirect
33. #34793C2semidirect
34. #34431C2semidirect
35. C4×#550C2semidirect
931. #121#41semidirect

Maximal subgroups

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

subgroupindex
#596762
#594632
#594422
#591362
#590392
#517002
#499422
#463392
#456762
#452092
#448892
#430152
#429472
#426242
#413182
#401482
#400072
#393972
#393522
#391912
#391692
#390692
#364592
#364102
#363682
#363002
#362752
#361222
#352792
#352082
#350082
#349772
#347932
#344312
C4×#5502