Finite Group Databasebeta

← #7779991

Subgroups — #7779991

Order 512.

5397 conjugacy classes of subgroups.

The subgroup lattice has 1789 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59654C211yesmaximal, characteristic, complemented
2#59654C211yesmaximal, characteristic, complemented
3#59437C211yesmaximal, characteristic, complemented
4#59434C211yesmaximal, characteristic, complemented
5#59128C212yesmaximal, complemented
6#59125C212yesmaximal, complemented
7#49731C214yesmaximal, complemented
8#48902C214yesmaximal, complemented
9#46719C214yesmaximal, complemented
10#46407C214yesmaximal, complemented
11#45677C212yesmaximal, complemented
12#45515C212yesmaximal, complemented
13#45257C212yesmaximal, complemented
14#45208C212yesmaximal, complemented
15#42458C212yesmaximal, complemented
16#42445C212yesmaximal, complemented
17#40100C212yesmaximal, complemented
18#39864C212yesmaximal, complemented
19#39721C212yesmaximal, complemented
20#39528C212yesmaximal, complemented
21#39256C212yesmaximal, complemented
22#39124C211yesmaximal, characteristic, complemented
23#38920C211yesmaximal, characteristic, complemented
24#38098C212yesmaximal, complemented
25#37340C212yesmaximal, complemented
26#36477C211yesmaximal, characteristic, complemented
27#36468C211yesmaximal, characteristic, complemented
28#36444C211yesmaximal, characteristic, complemented
29#36259C211yesmaximal, characteristic, complemented
30#36127C211yesmaximal, characteristic, complemented
31D4×C4⋊Q8C211yesmaximal, characteristic, complemented
32#35284C211yesmaximal, characteristic, complemented
33#34910C211yesmaximal, characteristic, complemented
34#34461C212yesmaximal, complemented
35C4×#540C211yesmaximal, characteristic, complemented
36C2×#553C2212yes—
37C2×D4×Q8C2211yescharacteristic
38C2×D4×Q8C2211yescharacteristic
39C2×#548C2212yes—
40C2×#548C2212yes—
41C2×#548C2212yes—
42C2×#547C2211yescharacteristic
43C2×#547C2211yescharacteristic
44C2×#547C2212yes—
45C2×#540C2211yescharacteristic
46C2×#532C2212yes—
47C22×C4⋊Q8C2212yes—
48C2×#529C2211yescharacteristic
49C2×C4×#41C2211yescharacteristic
50#2868C2211yescharacteristic
51#2859C2211yescharacteristic
52#2857C2211yescharacteristic
53#2857C2212yes—
54#2857C2212yes—
55#2857C2212yes—
56#2857C2211yescharacteristic
57#2855C2212yes—
58#2854C2212yes—
59#2854C2212yes—
60#2838C2214yes—
61#2813C2214yes—
62#2807C2214yes—
63#2803C2214yes—
64#2801C2214yes—
65#2796C2214yes—
66#2792C2214yes—
67#2787C2214yes—
68#2787C2214yes—
69#2779C2214yes—
70#2778C2214yes—
71#2778C2214yes—
72#2777C2214yes—
73#2774C2214yes—
74#2765C2214yes—
75#2757C2214yes—
76#2756C2214yes—
77#2750C2214yes—
78#2746C2214yes—
79#2745C2214yes—
80#2742C2214yes—
81#2737C2214yes—
82#2731C2214yes—
83#2731C2214yes—
84#2729C2214yes—
85#2729C2214yes—
86#2723C2214yes—
87#2718C2214yes—
88#2706C2214yes—
89#2696C2214yes—
90#2695C2214yes—
91#2691C2214yes—
92#2688C2214yes—
93#2686C2214yes—
94#2686C2214yes—
95#2681C2214yes—
96#2681C2214yes—
97#2675C2214yes—
98#2674C2214yes—
99#2674C2214yes—
100#2672C2214yes—
101#2671C2214yes—
102#2666C2214yes—
103#2647C2212yes—
104#2638C2214yes—
105#2630C2214yes—
106#2629C2212yes—
107#2628C2212yes—
108#2624C2212yes—
109#2618C2214yes—
110#2608C2214yes—
111#2602C2214yes—
112#2602C2212yes—
113#2602C2212yes—
114#2601C2212yes—
115#2601C2212yes—
116#2600C2214yes—
117#2594C2214yes—
118#2591C2214yes—
119#2587C2214yes—
120#2579C2214yes—
121#2578C2214yes—
122#2577C2214yes—
123#2574C2214yes—
124#2570C2212yes—
125#2566C2211yescharacteristic
126#2566C2212yes—
127#2565C2211yescharacteristic
128#2564C2214yes—
129#2563C2212yes—
130#2562C2212yes—
131#2559C2214yes—
132#2555C2214yes—
133#2551C2212yes—
134#2551C2212yes—
135#2547C2211yescharacteristic
136#2547C2211yescharacteristic
137#2547C2212yes—
138#2547C2212yes—
139#2546C2211yescharacteristic
140#2546C2211yescharacteristic
141#2545C2211yescharacteristic
142#2545C2212yes—
143#2544C2211yescharacteristic
144#2542C2212yes—
145#2540C2212yes—
146#2538C2211yescharacteristic
147#2538C2211yescharacteristic
148#2537C2211yescharacteristic
149#2537C2211yescharacteristic
150#2537C2212yes—
151#2537C2212yes—
152#2537C2212yes—
153#2536C2212yes—
154#2536C2212yes—
155#2535C2212yes—
156#2535C2212yes—
157#2518C2214yes—
158#2514C2212yes—
159#2514C2212yes—
160#2507C2212yes—
161#2507C2212yes—
162#2505C2214yes—
163#2500C2211yescharacteristic
164#2499C2211yescharacteristic
165#2497C2212yes—
166#2497C2212yes—
167#2497C2212yes—
168#2497C2212yes—
169#2496C2212yes—
170#2495C2212yes—
171#2494C2212yes—
172#2494C2212yes—
173#2491C2212yes—
174#2491C2212yes—
175#2491C2214yes—
176#2489C2212yes—
177#2489C2212yes—
178#2487C2212yes—
179#2486C2212yes—
180#2464C2214yes—
181#2461C2214yes—
182#2461C2214yes—
183#2461C2214yes—
184#2456C2214yes—
185#2449C2214yes—
186#2448C2212yes—
187#2446C2212yes—
188#2446C2212yes—
189#2446C2212yes—
190#2443C2214yes—
191#2443C2214yes—
192#2442C2212yes—
193#2441C2212yes—
194#2440C2214yes—
195#2440C2212yes—
196#2440C2212yes—
197#2440C2214yes—
198#2440C2214yes—
199#2436C2212yes—
200#2434C2212yes—
201#2434C2212yes—
202#2432C2212yes—
203#2432C2212yes—
204#2432C2212yes—
205#2432C2211yescharacteristic
206#2431C2211yescharacteristic
207#2429C2212yes—
208#2429C2212yes—
209#2429C2212yes—
210#2429C2212yes—
211#2428C2212yes—
212#2428C2212yes—
213#2428C2212yes—
214#2427C2214yes—
215#2427C2212yes—
216#2425C2214yes—
217#2422C2214yes—
218#2422C2214yes—
219#2416C2214yes—
220#2416C2212yes—
221#2415C2214yes—
222#2415C2212yes—
223#2415C2212yes—
224#2414C2212yes—
225#2413C2214yes—
226#2409C2212yes—
227#2409C2212yes—
228#2409C2212yes—
229#2407C2212yes—
230#2407C2212yes—
231#2407C2212yes—
232#2392C2212yes—
233#2392C2212yes—
234#2383C2214yes—
235#2376C2214yes—
236#2370C2212yes—
237#2367C2212yes—
238#2365C2212yes—
239#2361C2212yes—
240#2361C2212yes—
241#2361C2214yes—
242#2357C2212yes—
243#2355C2211yescharacteristic
244#2354C2211yescharacteristic
245#2352C2212yes—
246Q8×C4⋊C4C2211yescharacteristic
247D4×C4⋊C4C2214yes—
248D4×C4⋊C4C2212yes—
249D4×C4⋊C4C2212yes—
250D4×C4⋊C4C2212yes—
251D4×C4⋊C4C2212yes—
252D4×C4⋊C4C2211yescharacteristic
253#2347C2212yes—
254#2345C2212yes—
255Q8×C22⋊C4C2212yes—
256#2339C2212yes—
257#2335C2212yes—
258#2335C2212yes—
259#2334C2214yes—
260#2333C2212yes—
261#2333C2212yes—
262#2330C2211yescharacteristic
263#2330C2212yes—
264#2328C2211yescharacteristic
265#2325C2214yes—
266#2324C2211yescharacteristic
267#2324C2211yescharacteristic
268#2324C2212yes—
269#2322C2214yes—
270#2319C2211yescharacteristic
271#2319C2211yescharacteristic
272#2318C2214yes—
273#2317C2212yes—
274#2314C2211yescharacteristic
275#2314C2212yes—
276C4×C4⋊Q8C2211yescharacteristic
277C4×C4⋊Q8C2211yescharacteristic
278C4×C4⋊Q8C2211yescharacteristic
279C4×#127C2211yescharacteristic
280C4×#127C2211yescharacteristic
281C4×#125C2211yescharacteristic
282C4×#124C2211yescharacteristic
283C4×#124C2211yescharacteristic
284C4×C22⋊Q8C2212yes—
285C4×#123C2212yes—
286C4×#123C2212yes—
287C4×#121C2211yescharacteristic
288C4×#121C2211yescharacteristic
289C4×#121C2212yes—
290C4×#121C2212yes—
291C4×#121C2212yes—
292C4×#121C2212yes—
293C2×#389C2212yes—
294#2290C2212yes—
295#2290C2212yes—
296C42×D4C2211yescharacteristic
297C42×D4C2211yescharacteristic
298C4×#117C2211yescharacteristic
299C22×#41C2311yescharacteristic
300C22×#41C2312yes—
301C22×#41C2312yes—
302C23×Q8C2312yes—
303C23×Q8C2312yes—
304#553—216no—
305D4×Q8—44no—
306D4×Q8—44no—
307#548—48no—
308#548—48no—
309#548—48no—
310#547—44no—
311#547—44no—
312#547—48no—
313#540—28no—
314#532—48no—
315C2×C4⋊Q8—48no—
316C2×C4⋊Q8C2311yescharacteristic
317C2×C4⋊Q8C2311yescharacteristic
318C2×C4⋊Q8C2311yescharacteristic
319C2×C4⋊Q8C2312yes—
320C2×C4⋊Q8C2312yes—
321C2×C4⋊Q8C2312yes—
322C2×C4⋊Q8C2312yes—
323C2×C4⋊Q8C2312yes—
324C2×C4⋊Q8C2314yes—
325C2×C4⋊Q8C2312yes—
326C2×C4⋊Q8C2314yes—
327C2×#127C2311yescharacteristic
328C2×#127C2311yescharacteristic
329#529—44no—
330C2×#126C2314yes—
331C2×#126C2312yes—
332C2×#125C2311yescharacteristic
333C2×#125C2312yes—
334C2×#125C2311yescharacteristic
335C2×#124C2312yes—
336C2×#124C2311yescharacteristic
337C2×#124C2311yescharacteristic
338C2×#124C2311yescharacteristic
339C2×#124C2314yes—
340C2×#124C2314yes—
341C2×#124C2314yes—
342C2×#124C2312yes—
343C2×#123C2314yes—
344C2×#123C2312yes—
345C2×#123C2312yes—
346C2×#123C2314yes—
347C2×#123C2312yes—
348C2×#123C2314yes—
349C2×#123C2314yes—
350C2×#123C2314yes—
351C2×C22⋊Q8C2312yes—
352C2×C22⋊Q8C2314yes—
353C2×C22⋊Q8C2312yes—
354C2×C22⋊Q8C2312yes—
355C2×C22⋊Q8C2312yes—
356C2×C22⋊Q8C2312yes—
357C2×C22⋊Q8C2312yes—
358C2×C22⋊Q8C2312yes—
359C2×C22⋊Q8C2312yes—
360C2×C22⋊Q8C2314yes—
361C2×C22⋊Q8C2311yescharacteristic
362C2×C22⋊Q8C2314yes—
363C2×C22⋊Q8C2314yes—
364C2×C22⋊Q8C2314yes—
365C2×#121C2312yes—
366C2×#121C2311yescharacteristic
367C2×#121C2311yescharacteristic
368C2×#121C2314yes—
369C2×#121C2312yes—
370C2×#121C2312yes—
371C2×#121C2312yes—
372C2×#121C2312yes—
373C2×#121C2314yes—
374C2×#121C2312yes—
375C2×#121C2312yes—
376C2×#121C2312yes—
377C2×#121C2311yescharacteristic
378C2×#121C2314yes—
379C2×#121C2314yes—
380C2×#121C2314yes—
381C2×#121C2314yes—
382C2×#121C2314yes—
383C4×#41—44no—
384C2×C4×Q8C2311yescharacteristic
385C2×C4×Q8C2311yescharacteristic
386C2×C4×Q8C2312yes—
387C2×C4×Q8C2312yes—
388C2×C4×Q8C2311yescharacteristic
389C2×C4×Q8C2312yes—
390C2×C4×D4C2312yes—
391C2×C4×D4C2312yes—
392C2×C4×D4C2311yescharacteristic
393C2×C4×D4C2311yescharacteristic
394C2×C4×D4C2311yescharacteristic
395C2×C4×D4C2311yescharacteristic
396C2×C4×D4C2311yescharacteristic
397C2×C4×D4C2314yes—
398C2×C4×D4C2311yescharacteristic
399C2×C4×D4C2311yescharacteristic
400C2×C4×D4C2312yes—
401C2×C4×D4C2312yes—
402C2×C4×D4C2312yes—
403C2×C4×D4C2314yes—
404C2×C4×D4C2311yescharacteristic
405C2×C4×D4C2314yes—
406C2×C4×D4C2312yes—
407C2×C4×D4C2314yes—
408C2×C4×D4C2314yes—
409C2×C4×D4C2312yes—
410C2×C4×D4C2312yes—
411C2×C4×D4C2312yes—
412C2×C4×D4C2314yes—
413C2×C4×D4C2312yes—
414C2×C4×D4C2312yes—
415C2×C4×D4C2312yes—
416C2×C4×D4C2311yescharacteristic
417C2×#117C2311yescharacteristic
418C2×#117C2311yescharacteristic
419C2×#117C2312yes—
420C2×#117C2312yes—
421C2×#117C2312yes—
422C2×#117C2311yescharacteristic
423C22×C4⋊C4C2312yes—
424C22×C4⋊C4C2312yes—
425C22×C4⋊C4C2314yes—
426C22×C4⋊C4C2314yes—
427C22×C4⋊C4C2312yes—
428C22×C4⋊C4C2314yes—
429C22×C42C2311yescharacteristic
430C22×C42C2312yes—
431C22×C42C2312yes—
432C22×C42C2312yes—
433#401C2314yes—
434#401C2314yes—
435#400C2314yes—
436#400C2314yes—
437#400C2314yes—
438#400C2314yes—
439#400C2314yes—
440#400C2314yes—
441#400C2314yes—
442#400C2314yes—
443#400C2314yes—
444#399C2314yes—
445#399C2314yes—
446#399C2314yes—
447#399C2314yes—
448#398C2312yes—
449#398C2312yes—
450#398C2314yes—
451#398C2314yes—
452#398C2314yes—
453#398C2314yes—
454#398C2314yes—
455#398C2314yes—
456#398C2314yes—
457#398C2314yes—
458#398C2314yes—
459#398C2314yes—
460#398C2314yes—
461#397C2314yes—
462#397C2314yes—
463#397C2314yes—
464#397C2314yes—
465#397C2312yes—
466#397C2314yes—
467#397C2314yes—
468#397C2314yes—
469#397C2314yes—
470#397C2312yes—
471#397C2314yes—
472#397C2314yes—
473#397C2314yes—
474#396C2312yes—
475#396C2312yes—
476#396C2314yes—
477#396C2314yes—
478#396C2314yes—
479#396C2312yes—
480#396C2314yes—
481#396C2314yes—
482#396C2314yes—
483#396C2314yes—
484#396C2314yes—
485#396C2312yes—
486#396C2314yes—
487#395C2314yes—
488#395C2314yes—
489#395C2314yes—
490#395C2314yes—
491#395C2314yes—
492#395C2314yes—
493#395C2314yes—
494#394C2314yes—
495#394C2314yes—
496#394C2314yes—
497#394C2314yes—
498#394C2312yes—
499#394C2314yes—
500#394C2312yes—
501#394C2312yes—
502#394C2312yes—
503#394C2312yes—
504#394C2312yes—
505#394C2314yes—
506#394C2314yes—
507#394C2314yes—
508#394C2314yes—
509#394C2314yes—
510#394C2314yes—
511#394C2314yes—
512#394C2314yes—
513#394C2314yes—
514#394C2314yes—
515#394C2314yes—
516#394C2314yes—
517#393C2314yes—
518#393C2314yes—
519#393C2314yes—
520#393C2314yes—
521#393C2314yes—
522#392C2314yes—
523#392C2312yes—
524#392C2312yes—
525#392C2314yes—
526#392C2314yes—
527#392C2314yes—
528#392C2314yes—
529#391C2311yescharacteristic
530#391C2311yescharacteristic
531#391C2312yes—
532#391C2312yes—
533#391C2311yescharacteristic
534#391C2314yes—
535#391C2312yes—
536#391C2312yes—
537#391C2312yes—
538#391C2312yes—
539#391C2314yes—
540#391C2312yes—
541#391C2312yes—
542#391C2312yes—
543#391C2311yescharacteristic
544#390C2311yescharacteristic
545#390C2311yescharacteristic
546#390C2311yescharacteristic
547#390C2312yes—
548#390C2312yes—
549#390C2311yescharacteristic
550#390C2312yes—
551#390C2312yes—
552#390C2314yes—
553#390C2312yes—
554#390C2312yes—
555#390C2311yescharacteristic
556#390C2311yescharacteristic
557#390C2311yescharacteristic
558#390C2312yes—
559#390C2312yes—
560#390C2314yes—
561#390C2312yes—
562#390C2311yescharacteristic
563#390C2314yes—
564#389C2311yescharacteristic
565#389C2311yescharacteristic
566#389C2312yes—
567#389C2312yes—
568#389C2312yes—
569#389C2312yes—
570#389C2312yes—
571#389C2312yes—
572#389C2312yes—
573#389C2312yes—
574#389C2311yescharacteristic
575#389C2312yes—
576#389C2312yes—
577#389C2311yescharacteristic
578#389C2314yes—
579#389C2314yes—
580#389C2312yes—
581#389C2314yes—
582#389C2312yes—
583#389C2312yes—
584#389C2314yes—
585#389C2314yes—
586#389C2312yes—
587#389C2314yes—
588#389C2312yes—
589#389C2312yes—
590#389C2312yes—
591#389C2312yes—
592#389C2312yes—
593#389C2314yes—
594#389C2312yes—
595#389C2312yes—
596#389C2314yes—
597#389C2314yes—
598#389C2314yes—
599#389C2312yes—
600#389C2312yes—
601#389C2312yes—
602#389C2314yes—
603#389C2314yes—
604#388C2314yes—
605#388C2314yes—
606#388C2312yes—
607#388C2312yes—
608#388C2314yes—
609#388C2314yes—
610#388C2314yes—
611#388C2314yes—
612#388C2314yes—
613#388C2314yes—
614#388C2312yes—
615#388C2312yes—
616#388C2312yes—
617#388C2312yes—
618#388C2312yes—
619#388C2314yes—
620#388C2312yes—
621#388C2314yes—
622#388C2314yes—
623#388C2312yes—
624#388C2312yes—
625#388C2314yes—
626#388C2314yes—
627#388C2314yes—
628#388C2314yes—
629#388C2312yes—
630#388C2312yes—
631#388C2312yes—
632#388C2314yes—
633#388C2312yes—
634#388C2314yes—
635#388C2314yes—
636#388C2314yes—
637#388C2314yes—
638#388C2312yes—
639#388C2312yes—
640#388C2312yes—
641#388C2312yes—
642#388C2314yes—
643#388C2314yes—
644#388C2314yes—
645#387C2312yes—
646#387C2312yes—
647#387C2312yes—
648#387C2314yes—
649#387C2312yes—
650#387C2312yes—
651#387C2314yes—
652#387C2314yes—
653#387C2312yes—
654#387C2312yes—
655#387C2314yes—
656#387C2314yes—
657#387C2314yes—
658#387C2314yes—
659#387C2314yes—
660#387C2314yes—
661#387C2314yes—
662#387C2314yes—
663#387C2314yes—
664#387C2314yes—
665#387C2314yes—
666#387C2312yes—
667#387C2314yes—
668#387C2314yes—
669#387C2312yes—
670#387C2312yes—
671#386C2312yes—
672#386C2314yes—
673#386C2314yes—
674#386C2314yes—
675#386C2314yes—
676#386C2312yes—
677#386C2314yes—
678#386C2314yes—
679#386C2314yes—
680#386C2312yes—
681#386C2312yes—
682#386C2312yes—
683#386C2314yes—
684#386C2312yes—
685#386C2312yes—
686#386C2312yes—
687#386C2312yes—
688#386C2312yes—
689#386C2314yes—
690#386C2314yes—
691#386C2314yes—
692#386C2312yes—
693#386C2312yes—
694#386C2314yes—
695#386C2314yes—
696#386C2314yes—
697#385C2314yes—
698#385C2314yes—
699#385C2312yes—
700#385C2314yes—
701#385C2314yes—
702#385C2312yes—
703#385C2314yes—
704#385C2314yes—
705#385C2312yes—
706#385C2314yes—
707#385C2314yes—
708#385C2314yes—
709#385C2314yes—
710#385C2312yes—
711#385C2314yes—
712#385C2314yes—
713#385C2314yes—
714#385C2314yes—
715#385C2314yes—
716#385C2314yes—
717#385C2314yes—
718#385C2312yes—
719#385C2312yes—
720#385C2314yes—
721#385C2314yes—
722#385C2314yes—
723#384C2311yescharacteristic
724#384C2311yescharacteristic
725#384C2311yescharacteristic
726#384C2311yescharacteristic
727#384C2311yescharacteristic
728#384C2312yes—
729#384C2312yes—
730#384C2314yes—
731#384C2312yes—
732#384C2312yes—
733#384C2312yes—
734#383C2314yes—
735#383C2314yes—
736#382C2311yescharacteristic
737#382C2314yes—
738#382C2311yescharacteristic
739#382C2312yes—
740#382C2311yescharacteristic
741#382C2312yes—
742#382C2314yes—
743#381C2312yes—
744#381C2312yes—
745#381C2314yes—
746#381C2314yes—
747#380C2312yes—
748#380C2312yes—
749#380C2312yes—
750#380C2312yes—
751#380C2311yescharacteristic
752#380C2312yes—
753#380C2312yes—
754#380C2314yes—
755#380C2314yes—
756#380C2311yescharacteristic
757#380C2312yes—
758#380C2314yes—
759#380C2314yes—
760#380C2312yes—
761#380C2312yes—
762#380C2314yes—
763#380C2314yes—
764#380C2312yes—
765#380C2312yes—
766#380C2312yes—
767#380C2314yes—
768#380C2312yes—
769#380C2314yes—
770#380C2312yes—
771#380C2312yes—
772#380C2312yes—
773#380C2312yes—
774#380C2312yes—
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2311yescharacteristic
788C4×C4⋊C4C2311yescharacteristic
789C4×C4⋊C4C2311yescharacteristic
790C4×C4⋊C4C2311yescharacteristic
791C4×C4⋊C4C2314yes—
792C4×C4⋊C4C2311yescharacteristic
793C4×C4⋊C4C2314yes—
794C4×C4⋊C4C2311yescharacteristic
795C4×C4⋊C4C2311yescharacteristic
796C4×C4⋊C4C2312yes—
797C4×C4⋊C4C2312yes—
798C4×C4⋊C4C2312yes—
799C4×C22⋊C4C2314yes—
800C4×C22⋊C4C2314yes—
801C4×C22⋊C4C2314yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2311yescharacteristic
804C4×C22⋊C4C2311yescharacteristic
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2312yes—
811C4×C22⋊C4C2312yes—
812C4×C22⋊C4C2314yes—
813C4×C22⋊C4C2312yes—
814C4×C22⋊C4C2312yes—
815C4×C22⋊C4C2312yes—
816C4×C22⋊C4C2311yescharacteristic
817C4×C22⋊C4C2311yescharacteristic
818C4×C22⋊C4C2312yes—
819#376C2311yescharacteristic
820#376C2311yescharacteristic
821C2×#95C2314yes—
822C43C2311yescharacteristic
823C43C2311yescharacteristic
824C2×#41—24no—
825C2×#41—24no—
826C2×#41—28no—
827C2×#41—42no—
828C2×#41—44no—
829C2×#41—44no—
830C2×#41—44no—
831C2×#41—44no—
832C2×#41—44no—
833C22×Q8—28no—
834C22×Q8—44no—
835C22×Q8—44no—
836C22×Q8—44no—
837C22×Q8—44no—
838C22×Q8—44no—
839C22×Q8C2411yescharacteristic
840C22×Q8C2412yes—
841C22×Q8C2412yes—
842C22×Q8C2411yescharacteristic
843C22×Q8C2414yes—
844C22×Q8C2414yes—
845C22×D4C2411yescharacteristic
846C22×D4C2411yescharacteristic
847C22×D4C2414yes—
848C22×D4C2412yes—
849C22×D4C2412yes—
850C22×D4C2412yes—
851C22×D4C2411yescharacteristic
852C22×D4C2411yescharacteristic
853C22×D4C2412yes—
854C22×D4C2412yes—
855C22×D4C2414yes—
856C22×D4C2412yes—
857C22×D4C2412yes—
858C22×D4C2414yes—
859C22×D4C2412yes—
860C22×D4C2414yes—
861C23×C4C2412yes—
862C23×C4C2412yes—
863C23×C4C2411yescharacteristic
864C23×C4C2411yescharacteristic
865C23×C4C2412yes—
866C23×C4C2412yes—
867C23×C4C2412yes—
868C23×C4C2414yes—
869C23×C4C2414yes—
870C23×C4C2414yes—
871C23×C4C2412yes—
872C23×C4C2411yescharacteristic
873C23×C4C2412yes—
874C23×C4C2412yes—
875C23×C4C2414yes—
876C23×C4C2414yes—
877C23×C4C2412yes—
878C23×C4C2412yes—
879C4⋊Q8—24no—
880C4⋊Q8—28no—
881C4⋊Q8—24no—
882C4⋊Q8—24no—
883C4⋊Q8—44no—
884C4⋊Q8—44no—
885C4⋊Q8—44no—
886C4⋊Q8—44no—
887C4⋊Q8—44no—
888C4⋊Q8—48no—
889C4⋊Q8—48no—
890#127—24no—
891#127—24no—
892#126—216no—
893#126—44no—
894#125—24no—
895#125—28no—
896#125—42no—
897#124—24no—
898#124—28no—
899#124—24no—
900#124—42no—
901#124—44no—
902#124—48no—
903#124—48no—
904#124—48no—
905#123—28no—
906#123—216no—
907#123—28no—
908#123—48no—
909#123—48no—
910#123—44no—
911#123—48no—
912#123—48no—
913C22⋊Q8—28no—
914C22⋊Q8—48no—
915C22⋊Q8—48no—
916C22⋊Q8—48no—
917C22⋊Q8—48no—
918C22⋊Q8—48no—
919C22⋊Q8—42no—
920C22⋊Q8—44no—
921C22⋊Q8—44no—
922C22⋊Q8—44no—
923C22⋊Q8—44no—
924C22⋊Q8—44no—
925C22⋊Q8—44no—
926C22⋊Q8—44no—
927#121—24no—
928#121—28no—
929#121—28no—
930#121—28no—
931#121—28no—
932#121—24no—
933#121—28no—
934#121—216no—
935#121—48no—
936#121—48no—
937#121—48no—
938#121—48no—
939#121—48no—
940#121—48no—
941#121—42no—
942#121—44no—
943#121—44no—
944#121—44no—
945C4×Q8—24no—
946C4×Q8—24no—
947C4×Q8—42no—
948C4×Q8—44no—
949C4×Q8—44no—
950C4×Q8—44no—
951C4×D4—216no—
952C4×D4—24no—
953C4×D4—28no—
954C4×D4—24no—
955C4×D4—24no—
956C4×D4—24no—
957C4×D4—24no—
958C4×D4—24no—
959C4×D4—28no—
960C4×D4—24no—
961C4×D4—42no—
962C4×D4—44no—
963C4×D4—44no—
964C4×D4—44no—
965C4×D4—44no—
966C4×D4—44no—
967C4×D4—44no—
968C4×D4—44no—
969C4×D4—44no—
970C4×D4—44no—
971C4×D4—44no—
972C4×D4—48no—
973C4×D4—48no—
974C4×D4—48no—
975C4×D4—48no—
976C4×D4—48no—
977C4×D4#4118yescomplemented
978#117—28no—
979#117—24no—
980#117—24no—
981#117—44no—
982#117—44no—
983#117—42no—
984C2×C4⋊C4—28no—
985C2×C4⋊C4—48no—
986C2×C4⋊C4—48no—
987C2×C4⋊C4—44no—
988C2×C4⋊C4—44no—
989C2×C4⋊C4—48no—
990C2×C4⋊C4C2411yescharacteristic
991C2×C4⋊C4C2414yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2414yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2414yes—
999C2×C4⋊C4C2414yes—
1000C2×C4⋊C4C2411yescharacteristic
1001C2×C4⋊C4C2411yescharacteristic
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2411yescharacteristic
1005C2×C4⋊C4C2411yescharacteristic
1006C2×C4⋊C4C2411yescharacteristic
1007C2×C4⋊C4C2411yescharacteristic
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2411yescharacteristic
1010C2×C4⋊C4C2411yescharacteristic
1011C2×C4⋊C4C2414yes—
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2411yescharacteristic
1014C2×C4⋊C4C2411yescharacteristic
1015C2×C4⋊C4C2411yescharacteristic
1016C2×C4⋊C4C2412yes—
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2411yescharacteristic
1019C2×C4⋊C4C2412yes—
1020C2×C4⋊C4C2412yes—
1021C2×C4⋊C4C2412yes—
1022C2×C4⋊C4C2414yes—
1023C2×C4⋊C4C2412yes—
1024C2×C4⋊C4C2412yes—
1025C2×C4⋊C4C2412yes—
1026C2×C4⋊C4C2414yes—
1027C2×C4⋊C4C2414yes—
1028C2×C4⋊C4C2414yes—
1029C2×C4⋊C4C2414yes—
1030C2×C4⋊C4C2414yes—
1031C2×C4⋊C4C2414yes—
1032C2×C4⋊C4C2414yes—
1033C2×C4⋊C4C2412yes—
1034C2×C4⋊C4C2412yes—
1035C2×C4⋊C4C2412yes—
1036C2×C4⋊C4C2414yes—
1037C2×C4⋊C4C2414yes—
1038C2×C4⋊C4C2412yes—
1039C2×C4⋊C4C2414yes—
1040C2×C4⋊C4C2412yes—
1041C2×C4⋊C4C2412yes—
1042C2×C4⋊C4C2414yes—
1043C2×C4⋊C4C2412yes—
1044C2×C4⋊C4C2414yes—
1045C2×C4⋊C4C2414yes—
1046C2×C4⋊C4C2414yes—
1047C2×C4⋊C4C2414yes—
1048C2×C4⋊C4C2414yes—
1049C2×C4⋊C4C2412yes—
1050C2×C4⋊C4C2412yes—
1051C2×C4⋊C4C2412yes—
1052C2×C4⋊C4C2412yes—
1053C2×C4⋊C4C2412yes—
1054C2×C4⋊C4C2412yes—
1055C2×C4⋊C4C2414yes—
1056C2×C4⋊C4C2411yescharacteristic
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2411yescharacteristic
1059C2×C22⋊C4C2411yescharacteristic
1060C2×C22⋊C4C2414yes—
1061C2×C22⋊C4C2411yescharacteristic
1062C2×C22⋊C4C2411yescharacteristic
1063C2×C22⋊C4C2412yes—
1064C2×C22⋊C4C2414yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2414yes—
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2414yes—
1070C2×C22⋊C4C2412yes—
1071C2×C22⋊C4C2412yes—
1072C2×C22⋊C4C2412yes—
1073C2×C22⋊C4C2412yes—
1074C2×C22⋊C4C2412yes—
1075C2×C22⋊C4C2412yes—
1076C2×C22⋊C4C2412yes—
1077C2×C22⋊C4C2412yes—
1078C2×C22⋊C4C2412yes—
1079C2×C22⋊C4C2412yes—
1080C2×C22⋊C4C2414yes—
1081C2×C22⋊C4C2414yes—
1082C2×C22⋊C4C2412yes—
1083C2×C22⋊C4C2412yes—
1084C2×C22⋊C4C2414yes—
1085C2×C22⋊C4C2412yes—
1086C2×C22⋊C4C2412yes—
1087C2×C22⋊C4C2412yes—
1088C2×C22⋊C4C2412yes—
1089C2×C22⋊C4C2412yes—
1090C2×C22⋊C4C2412yes—
1091C2×C22⋊C4C2412yes—
1092C2×C22⋊C4C2414yes—
1093C2×C22⋊C4C2414yes—
1094C2×C22⋊C4C2414yes—
1095C2×C22⋊C4C2414yes—
1096C2×C22⋊C4C2412yes—
1097C2×C22⋊C4C2414yes—
1098C2×C22⋊C4C2412yes—
1099C2×C22⋊C4C2412yes—
1100C2×C22⋊C4C2412yes—
1101C2×C22⋊C4C2412yes—
1102C2×C22⋊C4C2412yes—
1103C2×C22⋊C4C2412yes—
1104C2×C22⋊C4C2414yes—
1105C2×C22⋊C4C2414yes—
1106C2×C22⋊C4C2414yes—
1107C2×C22⋊C4C2414yes—
1108C2×C22⋊C4C2414yes—
1109C2×C22⋊C4C2414yes—
1110C2×C22⋊C4C2412yes—
1111C2×C22⋊C4C2412yes—
1112C2×C22⋊C4C2414yes—
1113C2×C22⋊C4C2412yes—
1114C2×C22⋊C4C2412yes—
1115C2×C22⋊C4C2412yes—
1116C2×C22⋊C4C2412yes—
1117C2×C22⋊C4C2414yes—
1118C2×C22⋊C4C2414yes—
1119C2×C22⋊C4C2412yes—
1120C2×C42—24no—
1121C2×C42—44no—
1122C2×C42—44no—
1123C2×C42—44no—
1124C2×C42C2411yescharacteristic
1125C2×C42C2411yescharacteristic
1126C2×C42C2412yes—
1127C2×C42C2414yes—
1128C2×C42C2411yescharacteristic
1129C2×C42C2411yescharacteristic
1130C2×C42C2411yescharacteristic
1131C2×C42C2411yescharacteristic
1132C2×C42C2412yes—
1133C2×C42C2412yes—
1134C2×C42C2412yes—
1135C2×C42C2411yescharacteristic
1136C2×C42C2411yescharacteristic
1137C2×C42C2411yescharacteristic
1138C2×C42C2412yes—
1139C2×C42C2412yes—
1140C2×C42C2412yes—
1141C2×C42C2414yes—
1142C2×C42C2414yes—
1143C2×C42C2414yes—
1144C2×C42C2412yes—
1145C2×C42C2412yes—
1146C2×C42C2412yes—
1147C2×C42C2411yescharacteristic
1148C2×C42C2411yescharacteristic
1149C2×C42C2411yescharacteristic
1150C2×C42C2411yescharacteristic
1151C2×C42C2414yes—
1152C2×C42C2411yescharacteristic
1153C2×C42C2411yescharacteristic
1154C2×C42C2411yescharacteristic
1155#95C2412yes—
1156#95C2414yes—
1157#95C2414yes—
1158#95C2414yes—
1159#95C2411yescharacteristic
1160#95C2411yescharacteristic
1161#95C2411yescharacteristic
1162#95C2411yescharacteristic
1163#95C2411yescharacteristic
1164#95C2411yescharacteristic
1165#95C2411yescharacteristic
1166#95C2411yescharacteristic
1167#95C2412yes—
1168#95C2412yes—
1169#95C2412yes—
1170#95C2412yes—
1171#95C2412yes—
1172#95C2412yes—
1173#95C2412yes—
1174#95C2412yes—
1175#95C2412yes—
1176#95C2412yes—
1177#95C2414yes—
1178#95C2414yes—
1179#95C2414yes—
1180#95C2412yes—
1181#95C2412yes—
1182#95C2414yes—
1183#95C2414yes—
1184#95C2412yes—
1185#95C2412yes—
1186#95C2412yes—
1187#95C2414yes—
1188#95C2412yes—
1189#95C2412yes—
1190#95C2412yes—
1191#95C2412yes—
1192#95C2412yes—
1193#95C2414yes—
1194#95C2414yes—
1195#95C2414yes—
1196#95C2414yes—
1197#95C2414yes—
1198#95C2414yes—
1199#95C2412yes—
1200#95C2414yes—
1201#95C2412yes—
1202#95C2412yes—
1203#95C2414yes—
1204#95C2412yes—
1205#95C2414yes—
1206#95C2412yes—
1207#95C2414yes—
1208#95C2414yes—
1209#95C2414yes—
1210#95C2414yes—
1211#95C2414yes—
1212#95C2414yes—
1213#95C2414yes—
1214#95C2414yes—
1215#95C2414yes—
1216#95C2414yes—
1217C24C2512yes—
1218C24C2512yes—
1219C24C2511yescharacteristic
1220C24C2512yes—
1221C24C2512yes—
1222#41—416no—
1223#41—816no—
1224#41—816no—
1225C2×Q8—22no—
1226C2×Q8—22no—
1227C2×Q8—22no—
1228C2×Q8—24no—
1229C2×Q8—24no—
1230C2×Q8—22no—
1231C2×Q8—24no—
1232C2×Q8—24no—
1233C2×Q8—24no—
1234C2×Q8—24no—
1235C2×Q8—22no—
1236C2×Q8—28no—
1237C2×Q8—44no—
1238C2×Q8—44no—
1239C2×Q8—44no—
1240C2×Q8—44no—
1241C2×Q8—44no—
1242C2×Q8—816no—
1243C2×Q8—816no—
1244C2×Q8H(5,𝔽2)14yes—
1245C2×D4—28no—
1246C2×D4—28no—
1247C2×D4—24no—
1248C2×D4—24no—
1249C2×D4—24no—
1250C2×D4—24no—
1251C2×D4—28no—
1252C2×D4—24no—
1253C2×D4—24no—
1254C2×D4—28no—
1255C2×D4—24no—
1256C2×D4—22no—
1257C2×D4—24no—
1258C2×D4—22no—
1259C2×D4—22no—
1260C2×D4—22no—
1261C2×D4—22no—
1262C2×D4—22no—
1263C2×D4—24no—
1264C2×D4—22no—
1265C2×D4—22no—
1266C2×D4—22no—
1267C2×D4—24no—
1268C2×D4—22no—
1269C2×D4—42no—
1270C2×D4—42no—
1271C2×D4—42no—
1272C2×D4—44no—
1273C2×D4—42no—
1274C2×D4—42no—
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×D4—42no—
1285C2×D4—42no—
1286C2×D4—42no—
1287C2×D4—42no—
1288C2×D4—44no—
1289C2×D4—42no—
1290C2×D4—42no—
1291C2×D4C2×#4114yes—
1292C2×D4H(5,𝔽2)14yes—
1293C22×C4—24no—
1294C22×C4—28no—
1295C22×C4—24no—
1296C22×C4—24no—
1297C22×C4—22no—
1298C22×C4—22no—
1299C22×C4—22no—
1300C22×C4—24no—
1301C22×C4—24no—
1302C22×C4—24no—
1303C22×C4—24no—
1304C22×C4—24no—
1305C22×C4—24no—
1306C22×C4—24no—
1307C22×C4—24no—
1308C22×C4—24no—
1309C22×C4—22no—
1310C22×C4—22no—
1311C22×C4—22no—
1312C22×C4—24no—
1313C22×C4—24no—
1314C22×C4—24no—
1315C22×C4—28no—
1316C22×C4—24no—
1317C22×C4—22no—
1318C22×C4—28no—
1319C22×C4—24no—
1320C22×C4—42no—
1321C22×C4—42no—
1322C22×C4—42no—
1323C22×C4—42no—
1324C22×C4—42no—
1325C22×C4—42no—
1326C22×C4—42no—
1327C22×C4—42no—
1328C22×C4—44no—
1329C22×C4—44no—
1330C22×C4—44no—
1331C22×C4—44no—
1332C22×C4—44no—
1333C22×C4—44no—
1334C22×C4—44no—
1335C22×C4—44no—
1336C22×C4—44no—
1337C22×C4—44no—
1338C22×C4—44no—
1339C22×C4—41no—
1340C22×C4—41no—
1341C22×C4—42no—
1342C22×C4—42no—
1343C22×C4—44no—
1344C22×C4—42no—
1345C22×C4—42no—
1346C22×C4C2×#4118yes—
1347C22×C4C2511yescharacteristic
1348C22×C4C2512yes—
1349C22×C4C2512yes—
1350C22×C4C2511yescharacteristic
1351C22×C4C2511yescharacteristic
1352C22×C4C2512yes—
1353C22×C4C2511yescharacteristic
1354C22×C4C2511yescharacteristic
1355C22×C4C2512yes—
1356C22×C4C2511yescharacteristic
1357C22×C4C2512yes—
1358C22×C4C2512yes—
1359C22×C4C2512yes—
1360C22×C4C2514yes—
1361C22×C4C2514yes—
1362C22×C4C2512yes—
1363C22×C4C2512yes—
1364C22×C4C2512yes—
1365C22×C4C2514yes—
1366C22×C4C2514yes—
1367C22×C4C2511yescharacteristic
1368C22×C4C2511yescharacteristic
1369C22×C4C2512yes—
1370C22×C4C2511yescharacteristic
1371C22×C4C2511yescharacteristic
1372C22×C4C2512yes—
1373C22×C4C2511yescharacteristic
1374C22×C4C2511yescharacteristic
1375C22×C4C2511yescharacteristic
1376C22×C4C2511yescharacteristic
1377C4⋊C4—24no—
1378C4⋊C4—28no—
1379C4⋊C4—24no—
1380C4⋊C4—22no—
1381C4⋊C4—22no—
1382C4⋊C4—22no—
1383C4⋊C4—28no—
1384C4⋊C4—24no—
1385C4⋊C4—24no—
1386C4⋊C4—24no—
1387C4⋊C4—28no—
1388C4⋊C4—22no—
1389C4⋊C4—28no—
1390C4⋊C4—24no—
1391C4⋊C4—24no—
1392C4⋊C4—24no—
1393C4⋊C4—24no—
1394C4⋊C4—28no—
1395C4⋊C4—28no—
1396C4⋊C4—22no—
1397C4⋊C4—24no—
1398C4⋊C4—22no—
1399C4⋊C4—22no—
1400C4⋊C4—22no—
1401C4⋊C4—24no—
1402C4⋊C4—22no—
1403C4⋊C4—24no—
1404C4⋊C4—24no—
1405C4⋊C4—24no—
1406C4⋊C4—24no—
1407C4⋊C4—22no—
1408C4⋊C4—22no—
1409C4⋊C4—24no—
1410C4⋊C4—22no—
1411C4⋊C4—22no—
1412C4⋊C4—42no—
1413C4⋊C4—44no—
1414C4⋊C4—44no—
1415C4⋊C4—44no—
1416C4⋊C4—44no—
1417C4⋊C4—44no—
1418C4⋊C4—44no—
1419C4⋊C4—44no—
1420C4⋊C4—42no—
1421C4⋊C4—42no—
1422C4⋊C4—42no—
1423C4⋊C4—42no—
1424C4⋊C4—42no—
1425C4⋊C4—42no—
1426C4⋊C4—44no—
1427C4⋊C4—42no—
1428C4⋊C4—42no—
1429C4⋊C4—42no—
1430C4⋊C4—44no—
1431C4⋊C4—44no—
1432C4⋊C4—42no—
1433C4⋊C4—42no—
1434C4⋊C4—42no—
1435C4⋊C4—44no—
1436C4⋊C4—44no—
1437C4⋊C4—42no—
1438C4⋊C4—44no—
1439C4⋊C4—44no—
1440C4⋊C4—44no—
1441C4⋊C4—44no—
1442C4⋊C4—44no—
1443C4⋊C4C2×#4114yes—
1444C22⋊C4—28no—
1445C22⋊C4—24no—
1446C22⋊C4—28no—
1447C22⋊C4—28no—
1448C22⋊C4—24no—
1449C22⋊C4—28no—
1450C22⋊C4—28no—
1451C22⋊C4—24no—
1452C22⋊C4—22no—
1453C22⋊C4—22no—
1454C22⋊C4—28no—
1455C22⋊C4—24no—
1456C22⋊C4—24no—
1457C22⋊C4—24no—
1458C22⋊C4—24no—
1459C22⋊C4—24no—
1460C22⋊C4—24no—
1461C22⋊C4—24no—
1462C22⋊C4—24no—
1463C22⋊C4—24no—
1464C22⋊C4—28no—
1465C22⋊C4—24no—
1466C22⋊C4—22no—
1467C22⋊C4—22no—
1468C22⋊C4—24no—
1469C22⋊C4—24no—
1470C22⋊C4—24no—
1471C22⋊C4—24no—
1472C22⋊C4—42no—
1473C22⋊C4—42no—
1474C22⋊C4—42no—
1475C22⋊C4—42no—
1476C22⋊C4—42no—
1477C22⋊C4—44no—
1478C22⋊C4—44no—
1479C22⋊C4—42no—
1480C22⋊C4—44no—
1481C22⋊C4—42no—
1482C22⋊C4—42no—
1483C22⋊C4—42no—
1484C22⋊C4—42no—
1485C22⋊C4—42no—
1486C22⋊C4—42no—
1487C22⋊C4—42no—
1488C22⋊C4—44no—
1489C22⋊C4—44no—
1490C22⋊C4—44no—
1491C22⋊C4—44no—
1492C22⋊C4—42no—
1493C22⋊C4—44no—
1494C22⋊C4—42no—
1495C22⋊C4—42no—
1496C22⋊C4—42no—
1497C22⋊C4—42no—
1498C22⋊C4—42no—
1499C22⋊C4—42no—
1500C22⋊C4—44no—
1501C22⋊C4—44no—
1502C22⋊C4—44no—
1503C22⋊C4—44no—
1504C22⋊C4—44no—
1505C22⋊C4—44no—
1506C22⋊C4C2×#4118yes—
1507C42—28no—
1508C42—22no—
1509C42—22no—
1510C42—22no—
1511C42—22no—
1512C42—22no—
1513C42—22no—
1514C42—24no—
1515C42—24no—
1516C42—24no—
1517C42—24no—
1518C42—22no—
1519C42—22no—
1520C42—22no—
1521C42—42no—
1522C42—42no—
1523C42—42no—
1524C42—42no—
1525C42—42no—
1526C42—42no—
1527C42—41no—
1528C42—41no—
1529C42—41no—
1530C42—41no—
1531C42—44no—
1532C42—44no—
1533C42—44no—
1534C42—44no—
1535C42C2×#4114yes—
1536C42H(5,𝔽2)14yes—
1537C422−1+414yes—
1538C23—22no—
1539C23—22no—
1540C23—22no—
1541C23—22no—
1542C23—22no—
1543C23—22no—
1544C23—22no—
1545C23—22no—
1546C23—22no—
1547C23—22no—
1548C23—22no—
1549C23—22no—
1550C23—22no—
1551C23—22no—
1552C23—21no—
1553C23—22no—
1554C23—22no—
1555C23—22no—
1556C23—22no—
1557C23—21no—
1558C23—21no—
1559C23—21no—
1560C23—22no—
1561C23—22no—
1562C23—21no—
1563C23—22no—
1564C23—22no—
1565C23—22no—
1566C23—22no—
1567C23—22no—
1568C23—22no—
1569C23—21no—
1570C23—21no—
1571C23C22×#4114yes—
1572C23C2×H(5,𝔽2)14yes—
1573C23C2611yescharacteristic
1574Q8—28no—
1575Q8—44no—
1576Q8—48no—
1577Q8—48no—
1578Q8—88no—
1579Q8—88no—
1580D4—28no—
1581D4—28no—
1582D4—48no—
1583D4—48no—
1584D4—48no—
1585D4—416no—
1586D4—44no—
1587D4—44no—
1588D4—84no—
1589D4—88no—
1590D4—84no—
1591D4—84no—
1592D4—84no—
1593D4—88no—
1594D4—84no—
1595D4—88no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—22no—
1601C2×C4—22no—
1602C2×C4—22no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—22no—
1610C2×C4—22no—
1611C2×C4—24no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—22no—
1616C2×C4—22no—
1617C2×C4—24no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—22no—
1624C2×C4—22no—
1625C2×C4—22no—
1626C2×C4—22no—
1627C2×C4—21no—
1628C2×C4—21no—
1629C2×C4—22no—
1630C2×C4—22no—
1631C2×C4—22no—
1632C2×C4—24no—
1633C2×C4—22no—
1634C2×C4—22no—
1635C2×C4—24no—
1636C2×C4—24no—
1637C2×C4—24no—
1638C2×C4—22no—
1639C2×C4—22no—
1640C2×C4—24no—
1641C2×C4—22no—
1642C2×C4—22no—
1643C2×C4—22no—
1644C2×C4—22no—
1645C2×C4—24no—
1646C2×C4—24no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—24no—
1650C2×C4—22no—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—22no—
1654C2×C4—22no—
1655C2×C4—22no—
1656C2×C4—22no—
1657C2×C4—21no—
1658C2×C4—22no—
1659C2×C4—22no—
1660C2×C4—21no—
1661C2×C4—21no—
1662C2×C4—21no—
1663C2×C4—21no—
1664C2×C4—24no—
1665C2×C4—22no—
1666C2×C4—22no—
1667C2×C4—22no—
1668C2×C4—24no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—22no—
1672C2×C4—22no—
1673C2×C4—48no—
1674C2×C4—48no—
1675C2×C4—48no—
1676C2×C4—48no—
1677C2×C4—48no—
1678C2×C4—44no—
1679C2×C4—48no—
1680C2×C4—44no—
1681C2×C4—48no—
1682C2×C4—88no—
1683C2×C4—84no—
1684C2×C4—82no—
1685C2×C4—84no—
1686C2×C4—88no—
1687C2×C4—88no—
1688C2×C4—84no—
1689C2×C4—88no—
1690C2×C4—88no—
1691C2×C4C22×#4114yes—
1692C2×C4C22×#4112yes—
1693C2×C4C22×#4112yes—
1694C2×C4C22×#4112yes—
1695C2×C4C2×H(5,𝔽2)12yes—
1696C2×C4C2×H(5,𝔽2)14yes—
1697C2×C4C2×H(5,𝔽2)12yes—
1698C2×C4C2×H(5,𝔽2)12yes—
1699C2×C4C2×H(5,𝔽2)12yes—
1700C2×C4C2×H(5,𝔽2)12yes—
1701C2×C4C2×2−1+412yes—
1702C2×C4C2×2−1+412yes—
1703C2×C4C2×2−1+412yes—
1704C22—24no—
1705C22—24no—
1706C22—24no—
1707C22—24no—
1708C22—24no—
1709C22—24no—
1710C22—42no—
1711C22—42no—
1712C22—42no—
1713C22—42no—
1714C22—42no—
1715C22—42no—
1716C22—42no—
1717C22—42no—
1718C22—41no—
1719C22—42no—
1720C22—42no—
1721C22—41no—
1722C22—42no—
1723C22—42no—
1724C22—42no—
1725C22—42no—
1726C22—41no—
1727C22—42no—
1728C22—41no—
1729C22—42no—
1730C22—41no—
1731C22—42no—
1732C22—42no—
1733C22—42no—
1734C22—42no—
1735C22—41no—
1736C22—42no—
1737C22—42no—
1738C22—41no—
1739C22C23×#4111yescharacteristic
1740C22C22×H(5,𝔽2)11yescharacteristic
1741C22C22×H(5,𝔽2)11yescharacteristic
1742C22C22×H(5,𝔽2)11yescharacteristic
1743C22C22×2−1+411yescharacteristic
1744C222−1+611yescharacteristic
1745C222−1+611yescharacteristic
1746C4—24no—
1747C4—22no—
1748C4—24no—
1749C4—22no—
1750C4—22no—
1751C4—22no—
1752C4—22no—
1753C4—41no—
1754C4—42no—
1755C4—42no—
1756C4—44no—
1757C4—44no—
1758C4—42no—
1759C4—44no—
1760C4—41no—
1761C4—42no—
1762C4—44no—
1763C4—41no—
1764C4—42no—
1765C4—41no—
1766C4—42no—
1767C4—42no—
1768C4—41no—
1769C4—42no—
1770C4—41no—
1771C4—42no—
1772C4—41no—
1773C4—42no—
1774C4#351114yes—
1775C4#353714yes—
1776C2—44no—
1777C2—44no—
1778C2—81no—
1779C2—82no—
1780C2—82no—
1781C2C2×#353711yescharacteristic
1782C2C2×#351111yescharacteristic
1783C2#6288811yescharacteristic
1784C2#6291311yescharacteristic
1785C2#6291511yescharacteristic
1786C2#6298411yescharacteristic
1787C2#6298511yescharacteristic
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. #59654C2semidirect
2. #59654C2semidirect
3. #59437C2semidirect
4. #59434C2semidirect
5. #59128C2semidirect
6. #59125C2semidirect
7. #49731C2semidirect
8. #48902C2semidirect
9. #46719C2semidirect
10. #46407C2semidirect
11. #45677C2semidirect
12. #45515C2semidirect
13. #45257C2semidirect
14. #45208C2semidirect
15. #42458C2semidirect
16. #42445C2semidirect
17. #40100C2semidirect
18. #39864C2semidirect
19. #39721C2semidirect
20. #39528C2semidirect
21. #39256C2semidirect
22. #39124C2semidirect
23. #38920C2semidirect
24. #38098C2semidirect
25. #37340C2semidirect
26. #36477C2semidirect
27. #36468C2semidirect
28. #36444C2semidirect
29. #36259C2semidirect
30. #36127C2semidirect
31. D4×C4⋊Q8C2semidirect
32. #35284C2semidirect
33. #34910C2semidirect
34. #34461C2semidirect
35. C4×#540C2semidirect
977. C4×D4#41semidirect

Maximal subgroups

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

subgroupindex
#596542
#594372
#594342
#591282
#591252
#497312
#489022
#467192
#464072
#456772
#455152
#452572
#452082
#424582
#424452
#401002
#398642
#397212
#395282
#392562
#391242
#389202
#380982
#373402
#364772
#364682
#364442
#362592
#361272
D4×C4⋊Q82
#352842
#349102
#344612
C4×#5402