Finite Group Databasebeta

← #8095336

Subgroups — #8095336

Order 512.

5404 conjugacy classes of subgroups.

The subgroup lattice has 1822 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#53136C212yesmaximal, complemented
2#53095C212yesmaximal, complemented
3#53087C212yesmaximal, complemented
4#53087C212yesmaximal, complemented
5#53051C212yesmaximal, complemented
6#53041C212yesmaximal, complemented
7#53041C212yesmaximal, complemented
8#53011C212yesmaximal, complemented
9#52799C214yesmaximal, complemented
10#52549C214yesmaximal, complemented
11#46050C212yesmaximal, complemented
12#46048C212yesmaximal, complemented
13#46020C212yesmaximal, complemented
14#46002C212yesmaximal, complemented
15#45721C212yesmaximal, complemented
16#45677C212yesmaximal, complemented
17#45616C212yesmaximal, complemented
18#45550C214yesmaximal, complemented
19#45550C214yesmaximal, complemented
20#45497C212yesmaximal, complemented
21#35666C211yesmaximal, characteristic, complemented
22#35660C211yesmaximal, characteristic, complemented
23#35660C211yesmaximal, characteristic, complemented
24#35621C211yesmaximal, characteristic, complemented
25#35619C211yesmaximal, characteristic, complemented
26#35564C211yesmaximal, characteristic, complemented
27#35317C211yesmaximal, characteristic, complemented
28#35308C211yesmaximal, characteristic, complemented
29#35307C211yesmaximal, characteristic, complemented
30#35267C211yesmaximal, characteristic, complemented
31#35178C211yesmaximal, characteristic, complemented
32#35153C211yesmaximal, characteristic, complemented
33#34937C211yesmaximal, characteristic, complemented
34#34816C211yesmaximal, characteristic, complemented
35C2×#2446C211yesmaximal, characteristic, complemented
36C22×2−1+4C2211yescharacteristic
37C2×#537C2211yescharacteristic
38C2×#537C2211yescharacteristic
39C2×#536C2211yescharacteristic
40C2×#536C2211yescharacteristic
41C2×#536C2211yescharacteristic
42C2×#536C2211yescharacteristic
43C2×#536C2211yescharacteristic
44C2×#536C2211yescharacteristic
45C2×#532C2211yescharacteristic
46C2×#532C2211yescharacteristic
47C2×#532C2211yescharacteristic
48C22×C4⋊Q8C2211yescharacteristic
49C2×#520C2211yescharacteristic
50C2×C4×#41C2211yescharacteristic
51C22×C4×Q8C2211yescharacteristic
52#2868C2212yes—
53#2863C2212yes—
54#2860C2212yes—
55#2858C2212yes—
56#2857C2212yes—
57#2855C2212yes—
58#2855C2212yes—
59#2854C2214yes—
60#2854C2214yes—
61#2850C2212yes—
62#2843C2214yes—
63#2841C2214yes—
64#2841C2214yes—
65#2838C2214yes—
66#2838C2214yes—
67#2838C2214yes—
68#2838C2214yes—
69#2830C2214yes—
70#2829C2214yes—
71#2829C2214yes—
72#2829C2214yes—
73#2829C2214yes—
74#2828C2214yes—
75#2827C2214yes—
76#2827C2214yes—
77#2827C2214yes—
78#2827C2214yes—
79#2826C2214yes—
80#2826C2214yes—
81#2823C2214yes—
82#2797C2214yes—
83#2797C2214yes—
84#2796C2214yes—
85#2796C2214yes—
86#2796C2214yes—
87#2796C2214yes—
88#2795C2214yes—
89#2795C2214yes—
90#2795C2214yes—
91#2792C2214yes—
92#2792C2214yes—
93#2792C2214yes—
94#2790C2214yes—
95#2790C2214yes—
96#2790C2214yes—
97#2790C2214yes—
98#2790C2214yes—
99#2790C2214yes—
100#2784C2214yes—
101#2780C2214yes—
102#2780C2214yes—
103#2780C2214yes—
104#2780C2214yes—
105#2752C2214yes—
106#2752C2214yes—
107#2749C2214yes—
108#2749C2214yes—
109#2746C2214yes—
110#2746C2214yes—
111#2746C2214yes—
112#2746C2214yes—
113#2742C2214yes—
114#2742C2214yes—
115#2737C2214yes—
116#2737C2214yes—
117#2714C2214yes—
118#2714C2214yes—
119#2699C2214yes—
120#2691C2214yes—
121#2691C2214yes—
122#2658C2212yes—
123#2658C2212yes—
124#2645C2212yes—
125#2644C2212yes—
126#2625C2212yes—
127#2625C2212yes—
128#2621C2212yes—
129#2620C2212yes—
130#2618C2214yes—
131#2618C2214yes—
132#2548C2211yescharacteristic
133#2548C2212yes—
134#2547C2212yes—
135#2547C2211yescharacteristic
136#2546C2212yes—
137#2546C2212yes—
138#2546C2211yescharacteristic
139#2545C2212yes—
140#2545C2211yescharacteristic
141#2545C2212yes—
142#2545C2212yes—
143#2545C2211yescharacteristic
144#2544C2212yes—
145#2544C2211yescharacteristic
146#2544C2211yescharacteristic
147#2543C2212yes—
148#2543C2214yes—
149#2543C2212yes—
150#2542C2212yes—
151#2542C2212yes—
152#2542C2212yes—
153#2542C2212yes—
154#2541C2211yescharacteristic
155#2538C2212yes—
156#2538C2212yes—
157#2536C2212yes—
158#2536C2212yes—
159#2514C2211yescharacteristic
160#2514C2211yescharacteristic
161#2513C2211yescharacteristic
162#2513C2211yescharacteristic
163#2512C2211yescharacteristic
164#2512C2211yescharacteristic
165#2511C2211yescharacteristic
166#2511C2211yescharacteristic
167#2510C2212yes—
168#2510C2212yes—
169#2510C2214yes—
170#2503C2212yes—
171#2502C2212yes—
172#2501C2214yes—
173#2501C2214yes—
174#2499C2212yes—
175#2499C2212yes—
176#2497C2212yes—
177#2496C2212yes—
178#2495C2212yes—
179#2494C2212yes—
180#2481C2212yes—
181#2481C2212yes—
182#2481C2214yes—
183#2447C2212yes—
184#2447C2212yes—
185#2447C2212yes—
186#2447C2212yes—
187#2446C2212yes—
188#2446C2212yes—
189#2446C2212yes—
190#2446C2212yes—
191#2446C2212yes—
192#2446C2212yes—
193#2446C2212yes—
194#2446C2212yes—
195#2446C2212yes—
196#2446C2212yes—
197#2446C2212yes—
198#2446C2212yes—
199#2436C2212yes—
200#2436C2212yes—
201#2434C2212yes—
202#2434C2212yes—
203#2434C2212yes—
204#2434C2212yes—
205#2434C2212yes—
206#2434C2212yes—
207#2432C2212yes—
208#2432C2212yes—
209#2432C2212yes—
210#2432C2212yes—
211#2432C2212yes—
212#2432C2212yes—
213#2431C2212yes—
214#2431C2212yes—
215#2430C2214yes—
216#2430C2214yes—
217#2430C2214yes—
218#2430C2214yes—
219#2429C2212yes—
220#2429C2212yes—
221#2429C2212yes—
222#2429C2212yes—
223#2429C2212yes—
224#2429C2212yes—
225#2429C2212yes—
226#2428C2212yes—
227#2427C2212yes—
228#2427C2212yes—
229#2427C2212yes—
230#2426C2212yes—
231#2426C2212yes—
232#2426C2212yes—
233#2426C2212yes—
234#2426C2212yes—
235#2425C2214yes—
236#2425C2214yes—
237#2425C2214yes—
238#2425C2214yes—
239#2419C2214yes—
240#2419C2214yes—
241#2419C2214yes—
242#2419C2214yes—
243#2417C2212yes—
244#2417C2212yes—
245#2417C2212yes—
246#2416C2212yes—
247#2416C2212yes—
248#2416C2214yes—
249#2416C2212yes—
250#2415C2212yes—
251#2415C2212yes—
252#2415C2212yes—
253#2414C2212yes—
254#2409C2212yes—
255#2409C2212yes—
256#2409C2212yes—
257#2409C2212yes—
258#2407C2212yes—
259#2407C2212yes—
260#2407C2212yes—
261#2407C2212yes—
262#2406C2214yes—
263#2406C2214yes—
264#2401C2212yes—
265#2401C2212yes—
266C2×#400C2212yes—
267#2392C2212yes—
268#2392C2212yes—
269C2×#398C2212yes—
270#2383C2214yes—
271#2383C2214yes—
272#2377C2214yes—
273#2377C2214yes—
274#2317C2211yescharacteristic
275#2316C2211yescharacteristic
276#2311C2211yescharacteristic
277#2311C2211yescharacteristic
278#2311C2211yescharacteristic
279#2310C2211yescharacteristic
280C4×#126C2212yes—
281C4×#126C2212yes—
282C4×#121C2212yes—
283C4×#121C2212yes—
284#2297C2211yescharacteristic
285#2297C2211yescharacteristic
286#2297C2211yescharacteristic
287#2297C2211yescharacteristic
288#2297C2211yescharacteristic
289#2296C2211yescharacteristic
290C2×#391C2211yescharacteristic
291C2×#391C2211yescharacteristic
292C2×#391C2211yescharacteristic
293C2×#389C2211yescharacteristic
294C2×#387C2212yes—
295C2×#387C2212yes—
296#2285C2211yescharacteristic
297C4×#117C2211yescharacteristic
298C2×C4×C4⋊C4C2211yescharacteristic
299C2×2−1+4—44no—
300C2×2−1+4—44no—
301C2×2−1+4—44no—
302C22×#41C2311yescharacteristic
303C22×#41C2311yescharacteristic
304C22×#41C2311yescharacteristic
305C22×#41C2311yescharacteristic
306C22×#41C2314yes—
307C22×#41C2312yes—
308C22×#41C2312yes—
309C23×Q8C2311yescharacteristic
310C23×Q8C2311yescharacteristic
311C23×Q8C2312yes—
312C23×Q8C2312yes—
313#537—44no—
314#537—44no—
315#536—44no—
316#536—44no—
317#536—44no—
318#536—44no—
319#536—44no—
320#536—44no—
321#532—44no—
322#532—44no—
323#532—44no—
324C2×C4⋊Q8—44no—
325C2×C4⋊Q8C2312yes—
326C2×C4⋊Q8C2312yes—
327C2×C4⋊Q8C2311yescharacteristic
328C2×C4⋊Q8C2312yes—
329C2×C4⋊Q8C2312yes—
330C2×C4⋊Q8C2312yes—
331C2×C4⋊Q8C2312yes—
332C2×C4⋊Q8C2312yes—
333C2×C4⋊Q8C2312yes—
334C2×C4⋊Q8C2312yes—
335C2×C4⋊Q8C2311yescharacteristic
336C2×C4⋊Q8C2311yescharacteristic
337C2×C4⋊Q8C2312yes—
338C2×#127C2311yescharacteristic
339C2×#127C2311yescharacteristic
340C2×#127C2311yescharacteristic
341C2×#126C2312yes—
342C2×#126C2312yes—
343C2×#126C2314yes—
344C2×#124C2312yes—
345C2×#124C2312yes—
346C2×#124C2312yes—
347C2×#124C2312yes—
348C2×#124C2312yes—
349C2×#124C2311yescharacteristic
350C2×#124C2311yescharacteristic
351C2×#124C2311yescharacteristic
352C2×#124C2311yescharacteristic
353C2×#124C2311yescharacteristic
354C2×#124C2311yescharacteristic
355C2×#124C2312yes—
356C2×#123C2314yes—
357C2×#123C2314yes—
358C2×#123C2314yes—
359C2×#123C2314yes—
360C2×#123C2314yes—
361C2×#123C2314yes—
362C2×C22⋊Q8C2312yes—
363C2×C22⋊Q8C2312yes—
364C2×C22⋊Q8C2312yes—
365C2×C22⋊Q8C2312yes—
366C2×C22⋊Q8C2312yes—
367C2×C22⋊Q8C2312yes—
368C2×C22⋊Q8C2312yes—
369C2×C22⋊Q8C2312yes—
370C2×C22⋊Q8C2312yes—
371C2×C22⋊Q8C2312yes—
372C2×C22⋊Q8C2312yes—
373C2×C22⋊Q8C2312yes—
374C2×C22⋊Q8C2312yes—
375C2×C22⋊Q8C2312yes—
376C2×C22⋊Q8C2312yes—
377C2×C22⋊Q8C2312yes—
378C2×#121C2312yes—
379C2×#121C2312yes—
380C2×#121C2312yes—
381C2×#121C2314yes—
382C2×#121C2312yes—
383C2×#121C2314yes—
384C2×#121C2312yes—
385C2×#121C2312yes—
386C2×#121C2312yes—
387C2×#121C2312yes—
388C2×#121C2314yes—
389C2×#121C2312yes—
390C2×#121C2312yes—
391C2×#121C2312yes—
392C2×#121C2312yes—
393#520—44no—
394C4×#41—44no—
395C2×C4×Q8—44no—
396C2×C4×Q8C2312yes—
397C2×C4×Q8C2312yes—
398C2×C4×Q8C2312yes—
399C2×C4×Q8C2312yes—
400C2×C4×Q8C2311yescharacteristic
401C2×C4×Q8C2311yescharacteristic
402C2×C4×Q8C2312yes—
403C2×C4×D4C2312yes—
404C2×C4×D4C2312yes—
405C2×C4×D4C2312yes—
406C2×C4×D4C2312yes—
407C2×C4×D4C2312yes—
408C2×C4×D4C2312yes—
409C2×C4×D4C2312yes—
410C2×C4×D4C2311yescharacteristic
411C2×C4×D4C2311yescharacteristic
412C2×C4×D4C2314yes—
413C2×C4×D4C2312yes—
414C2×C4×D4C2312yes—
415C2×#117C2311yescharacteristic
416C2×#117C2311yescharacteristic
417C2×#117C2311yescharacteristic
418C2×#117C2311yescharacteristic
419C2×#117C2312yes—
420C2×#117C2312yes—
421C22×C4⋊C4C2311yescharacteristic
422C22×C4⋊C4C2311yescharacteristic
423C22×C4⋊C4C2311yescharacteristic
424C22×C4⋊C4C2312yes—
425C22×C4⋊C4C2311yescharacteristic
426C22×C4⋊C4C2312yes—
427C22×C4⋊C4C2312yes—
428C22×C4⋊C4C2312yes—
429C22×C4⋊C4C2312yes—
430C22×C42C2311yescharacteristic
431C22×C42C2311yescharacteristic
432C22×C42C2311yescharacteristic
433C22×C42C2312yes—
434C22×C42C2312yes—
435#401C2314yes—
436#401C2312yes—
437#401C2312yes—
438#400C2314yes—
439#400C2314yes—
440#400C2314yes—
441#400C2314yes—
442#400C2312yes—
443#400C2312yes—
444#400C2314yes—
445#400C2314yes—
446#400C2314yes—
447#400C2314yes—
448#400C2312yes—
449#400C2314yes—
450#400C2314yes—
451#400C2312yes—
452#400C2314yes—
453#400C2312yes—
454#400C2312yes—
455#399C2314yes—
456#399C2314yes—
457#399C2314yes—
458#399C2314yes—
459#399C2314yes—
460#399C2314yes—
461#399C2314yes—
462#399C2314yes—
463#398C2314yes—
464#398C2314yes—
465#398C2314yes—
466#398C2314yes—
467#398C2314yes—
468#398C2314yes—
469#398C2314yes—
470#398C2314yes—
471#398C2314yes—
472#398C2314yes—
473#398C2314yes—
474#398C2314yes—
475#398C2314yes—
476#398C2314yes—
477#398C2314yes—
478#398C2312yes—
479#398C2314yes—
480#398C2314yes—
481#398C2312yes—
482#397C2312yes—
483#397C2312yes—
484#397C2314yes—
485#397C2314yes—
486#397C2312yes—
487#397C2312yes—
488#397C2314yes—
489#397C2314yes—
490#397C2314yes—
491#397C2314yes—
492#397C2314yes—
493#397C2314yes—
494#397C2314yes—
495#397C2314yes—
496#397C2314yes—
497#397C2312yes—
498#397C2314yes—
499#397C2314yes—
500#397C2314yes—
501#397C2312yes—
502#397C2314yes—
503#397C2314yes—
504#397C2312yes—
505#397C2312yes—
506#396C2312yes—
507#396C2314yes—
508#396C2314yes—
509#396C2314yes—
510#396C2314yes—
511#396C2314yes—
512#396C2314yes—
513#396C2314yes—
514#396C2314yes—
515#396C2312yes—
516#396C2314yes—
517#396C2314yes—
518#396C2314yes—
519#396C2314yes—
520#396C2314yes—
521#396C2312yes—
522#396C2312yes—
523#396C2314yes—
524#396C2312yes—
525#396C2314yes—
526#396C2312yes—
527#395C2314yes—
528#395C2314yes—
529#395C2314yes—
530#395C2314yes—
531#395C2314yes—
532#395C2314yes—
533#395C2314yes—
534#395C2314yes—
535#394C2314yes—
536#394C2314yes—
537#394C2314yes—
538#394C2312yes—
539#394C2314yes—
540#394C2314yes—
541#394C2314yes—
542#394C2314yes—
543#394C2314yes—
544#394C2312yes—
545#394C2314yes—
546#394C2314yes—
547#394C2314yes—
548#394C2314yes—
549#394C2314yes—
550#394C2314yes—
551#394C2314yes—
552#394C2314yes—
553#394C2312yes—
554#394C2312yes—
555#394C2314yes—
556#394C2314yes—
557#394C2312yes—
558#394C2314yes—
559#394C2312yes—
560#393C2314yes—
561#393C2314yes—
562#393C2314yes—
563#393C2314yes—
564#392C2314yes—
565#392C2314yes—
566#392C2312yes—
567#392C2314yes—
568#392C2314yes—
569#392C2314yes—
570#392C2312yes—
571#391C2312yes—
572#391C2312yes—
573#391C2312yes—
574#391C2312yes—
575#391C2312yes—
576#391C2312yes—
577#391C2312yes—
578#391C2312yes—
579#391C2312yes—
580#391C2311yescharacteristic
581#391C2311yescharacteristic
582#391C2312yes—
583#391C2311yescharacteristic
584#391C2312yes—
585#391C2311yescharacteristic
586#391C2312yes—
587#391C2312yes—
588#391C2311yescharacteristic
589#391C2311yescharacteristic
590#391C2311yescharacteristic
591#391C2311yescharacteristic
592#391C2312yes—
593#391C2312yes—
594#391C2311yescharacteristic
595#391C2311yescharacteristic
596#391C2312yes—
597#391C2312yes—
598#391C2312yes—
599#391C2312yes—
600#390C2312yes—
601#390C2312yes—
602#390C2312yes—
603#390C2314yes—
604#390C2312yes—
605#390C2314yes—
606#390C2314yes—
607#390C2314yes—
608#390C2314yes—
609#390C2311yescharacteristic
610#390C2314yes—
611#390C2314yes—
612#390C2314yes—
613#390C2314yes—
614#390C2311yescharacteristic
615#390C2311yescharacteristic
616#390C2311yescharacteristic
617#390C2311yescharacteristic
618#390C2311yescharacteristic
619#390C2311yescharacteristic
620#390C2311yescharacteristic
621#390C2312yes—
622#390C2311yescharacteristic
623#390C2311yescharacteristic
624#389C2312yes—
625#389C2312yes—
626#389C2312yes—
627#389C2312yes—
628#389C2312yes—
629#389C2312yes—
630#389C2314yes—
631#389C2314yes—
632#389C2314yes—
633#389C2314yes—
634#389C2314yes—
635#389C2314yes—
636#389C2311yescharacteristic
637#389C2311yescharacteristic
638#389C2314yes—
639#389C2312yes—
640#389C2311yescharacteristic
641#389C2311yescharacteristic
642#389C2312yes—
643#389C2314yes—
644#389C2314yes—
645#389C2312yes—
646#389C2312yes—
647#389C2312yes—
648#389C2312yes—
649#388C2312yes—
650#388C2312yes—
651#388C2312yes—
652#388C2312yes—
653#388C2312yes—
654#388C2312yes—
655#388C2314yes—
656#388C2314yes—
657#388C2314yes—
658#388C2314yes—
659#388C2314yes—
660#388C2312yes—
661#388C2314yes—
662#388C2314yes—
663#388C2314yes—
664#388C2314yes—
665#388C2314yes—
666#388C2314yes—
667#388C2314yes—
668#388C2314yes—
669#388C2314yes—
670#388C2314yes—
671#388C2312yes—
672#388C2314yes—
673#388C2314yes—
674#388C2312yes—
675#388C2312yes—
676#387C2312yes—
677#387C2312yes—
678#387C2312yes—
679#387C2312yes—
680#387C2312yes—
681#387C2312yes—
682#387C2314yes—
683#387C2314yes—
684#387C2314yes—
685#387C2314yes—
686#387C2314yes—
687#387C2314yes—
688#387C2314yes—
689#387C2314yes—
690#387C2314yes—
691#387C2314yes—
692#387C2314yes—
693#387C2314yes—
694#387C2314yes—
695#387C2314yes—
696#387C2314yes—
697#387C2314yes—
698#387C2314yes—
699#387C2314yes—
700#387C2314yes—
701#386C2314yes—
702#386C2314yes—
703#386C2314yes—
704#386C2312yes—
705#386C2314yes—
706#386C2314yes—
707#386C2314yes—
708#386C2314yes—
709#386C2314yes—
710#386C2314yes—
711#386C2314yes—
712#386C2314yes—
713#386C2312yes—
714#386C2312yes—
715#386C2312yes—
716#386C2312yes—
717#386C2312yes—
718#386C2314yes—
719#386C2314yes—
720#386C2314yes—
721#386C2314yes—
722#386C2314yes—
723#386C2314yes—
724#386C2312yes—
725#386C2312yes—
726#386C2312yes—
727#386C2312yes—
728#386C2312yes—
729#386C2312yes—
730#386C2312yes—
731#386C2312yes—
732#385C2314yes—
733#385C2314yes—
734#385C2314yes—
735#385C2314yes—
736#385C2314yes—
737#385C2314yes—
738#385C2314yes—
739#385C2314yes—
740#385C2314yes—
741#385C2314yes—
742#385C2314yes—
743#385C2314yes—
744#385C2314yes—
745#385C2314yes—
746#385C2314yes—
747#385C2314yes—
748#385C2314yes—
749#385C2314yes—
750#385C2314yes—
751#385C2314yes—
752#385C2314yes—
753#385C2312yes—
754#385C2312yes—
755#384C2314yes—
756#384C2312yes—
757#384C2314yes—
758#384C2314yes—
759#384C2314yes—
760#384C2311yescharacteristic
761#384C2311yescharacteristic
762#383C2312yes—
763#383C2312yes—
764#383C2314yes—
765#382C2312yes—
766#382C2311yescharacteristic
767#382C2311yescharacteristic
768#381C2314yes—
769#381C2314yes—
770#381C2314yes—
771#381C2314yes—
772#381C2314yes—
773#380C2312yes—
774#380C2312yes—
775#380C2312yes—
776#380C2312yes—
777#380C2312yes—
778#380C2312yes—
779#380C2314yes—
780#380C2312yes—
781#380C2314yes—
782#380C2314yes—
783#380C2314yes—
784#380C2312yes—
785#380C2314yes—
786#380C2312yes—
787#380C2314yes—
788#380C2312yes—
789C4×C4⋊C4C2311yescharacteristic
790C4×C4⋊C4C2311yescharacteristic
791C4×C4⋊C4C2312yes—
792C4×C4⋊C4C2312yes—
793C4×C4⋊C4C2312yes—
794C4×C4⋊C4C2312yes—
795C4×C4⋊C4C2311yescharacteristic
796C4×C4⋊C4C2311yescharacteristic
797C4×C4⋊C4C2311yescharacteristic
798C4×C4⋊C4C2311yescharacteristic
799C4×C4⋊C4C2311yescharacteristic
800C4×C4⋊C4C2311yescharacteristic
801C4×C4⋊C4C2311yescharacteristic
802C4×C4⋊C4C2311yescharacteristic
803C4×C4⋊C4C2311yescharacteristic
804C4×C4⋊C4C2311yescharacteristic
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2312yes—
811C4×C22⋊C4C2312yes—
812C4×C22⋊C4C2312yes—
813C4×C22⋊C4C2312yes—
814C4×C22⋊C4C2312yes—
815C4×C22⋊C4C2312yes—
816C4×C22⋊C4C2312yes—
817#376C2312yes—
818C2×#95C2312yes—
819C2×#95C2312yes—
820C2×#95C2312yes—
821C2×#95C2311yescharacteristic
822C2×#95C2312yes—
823C2×#95C2312yes—
824C2×#95C2312yes—
825C2×#95C2312yes—
826C2×#95C2311yescharacteristic
827C43C2312yes—
8282−1+4—464no—
829C2×#41—24no—
830C2×#41—24no—
831C2×#41—24no—
832C2×#41—24no—
833C2×#41—24no—
834C2×#41—24no—
835C2×#41—24no—
836C2×#41—24no—
837C2×#41—24no—
838C2×#41—24no—
839C2×#41—24no—
840C2×#41—24no—
841C2×#41—48no—
842C2×#41—48no—
843C2×#41—48no—
844C2×#41—44no—
845C2×#41—44no—
846C2×#41—44no—
847C2×#41—44no—
848C2×#41—44no—
849C2×#41—44no—
850C22×Q8—24no—
851C22×Q8—24no—
852C22×Q8—24no—
853C22×Q8—24no—
854C22×Q8—24no—
855C22×Q8—24no—
856C22×Q8—44no—
857C22×Q8—44no—
858C22×Q8—44no—
859C22×Q8—44no—
860C22×Q8—44no—
861C22×Q8—44no—
862C22×Q8C2412yes—
863C22×Q8C2412yes—
864C22×Q8C2411yescharacteristic
865C22×Q8C2411yescharacteristic
866C22×Q8C2412yes—
867C22×Q8C2411yescharacteristic
868C22×Q8C2412yes—
869C22×Q8C2411yescharacteristic
870C22×Q8C2414yes—
871C22×D4C2412yes—
872C22×D4C2412yes—
873C22×D4C2411yescharacteristic
874C22×D4C2411yescharacteristic
875C22×D4C2412yes—
876C22×D4C2412yes—
877C22×D4C2411yescharacteristic
878C22×D4C2411yescharacteristic
879C22×D4C2412yes—
880C22×D4C2412yes—
881C22×D4C2412yes—
882C22×D4C2412yes—
883C22×D4C2412yes—
884C22×D4C2412yes—
885C22×D4C2414yes—
886C22×D4C2414yes—
887C22×D4C2414yes—
888C23×C4C2412yes—
889C23×C4C2412yes—
890C23×C4C2412yes—
891C23×C4C2412yes—
892C23×C4C2412yes—
893C23×C4C2412yes—
894C23×C4C2411yescharacteristic
895C23×C4C2411yescharacteristic
896C23×C4C2411yescharacteristic
897C23×C4C2411yescharacteristic
898C23×C4C2411yescharacteristic
899C23×C4C2412yes—
900C23×C4C2412yes—
901C23×C4C2411yescharacteristic
902C23×C4C2412yes—
903C23×C4C2414yes—
904C23×C4C2412yes—
905C23×C4C2414yes—
906C23×C4C2414yes—
907C23×C4C2411yescharacteristic
908C4⋊Q8—44no—
909C4⋊Q8—44no—
910C4⋊Q8—44no—
911C4⋊Q8—44no—
912C4⋊Q8—42no—
913C4⋊Q8—42no—
914C4⋊Q8—42no—
915C4⋊Q8—44no—
916C4⋊Q8—44no—
917C4⋊Q8—44no—
918C4⋊Q8—44no—
919C4⋊Q8—44no—
920C4⋊Q8—44no—
921#127—42no—
922#127—42no—
923#127—42no—
924#126—28no—
925#126—44no—
926#126—48no—
927#124—42no—
928#124—42no—
929#124—42no—
930#124—42no—
931#124—42no—
932#124—42no—
933#124—44no—
934#124—44no—
935#124—44no—
936#124—44no—
937#124—44no—
938#124—44no—
939#123—48no—
940#123—48no—
941#123—48no—
942#123—48no—
943#123—48no—
944#123—48no—
945C22⋊Q8—44no—
946C22⋊Q8—44no—
947C22⋊Q8—44no—
948C22⋊Q8—44no—
949C22⋊Q8—44no—
950C22⋊Q8—44no—
951C22⋊Q8—44no—
952C22⋊Q8—44no—
953C22⋊Q8—44no—
954C22⋊Q8—44no—
955C22⋊Q8—44no—
956C22⋊Q8—44no—
957C22⋊Q8—44no—
958C22⋊Q8—44no—
959C22⋊Q8—44no—
960C22⋊Q8—44no—
961#121—28no—
962#121—48no—
963#121—44no—
964#121—44no—
965#121—44no—
966#121—44no—
967#121—44no—
968#121—44no—
969#121—44no—
970#121—44no—
971#121—44no—
972#121—44no—
973#121—44no—
974#121—48no—
975#121—48no—
976C4×Q8—44no—
977C4×Q8—44no—
978C4×Q8—44no—
979C4×Q8—44no—
980C4×Q8—42no—
981C4×Q8—42no—
982C4×Q8—44no—
983C4×D4—42no—
984C4×D4—42no—
985C4×D4—44no—
986C4×D4—44no—
987C4×D4—44no—
988C4×D4—44no—
989C4×D4—44no—
990C4×D4—44no—
991C4×D4—44no—
992C4×D4—44no—
993C4×D4—44no—
994C4×D4—48no—
995#117—24no—
996#117—24no—
997#117—24no—
998#117—24no—
999#117—44no—
1000#117—44no—
1001C2×C4⋊C4—24no—
1002C2×C4⋊C4—24no—
1003C2×C4⋊C4—24no—
1004C2×C4⋊C4—42no—
1005C2×C4⋊C4—44no—
1006C2×C4⋊C4—44no—
1007C2×C4⋊C4—44no—
1008C2×C4⋊C4—44no—
1009C2×C4⋊C4—44no—
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2411yescharacteristic
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2411yescharacteristic
1016C2×C4⋊C4C2414yes—
1017C2×C4⋊C4C2411yescharacteristic
1018C2×C4⋊C4C2411yescharacteristic
1019C2×C4⋊C4C2411yescharacteristic
1020C2×C4⋊C4C2411yescharacteristic
1021C2×C4⋊C4C2411yescharacteristic
1022C2×C4⋊C4C2411yescharacteristic
1023C2×C4⋊C4C2411yescharacteristic
1024C2×C4⋊C4C2411yescharacteristic
1025C2×C4⋊C4C2411yescharacteristic
1026C2×C4⋊C4C2411yescharacteristic
1027C2×C4⋊C4C2411yescharacteristic
1028C2×C4⋊C4C2412yes—
1029C2×C4⋊C4C2412yes—
1030C2×C4⋊C4C2414yes—
1031C2×C4⋊C4C2414yes—
1032C2×C4⋊C4C2414yes—
1033C2×C4⋊C4C2414yes—
1034C2×C4⋊C4C2414yes—
1035C2×C4⋊C4C2414yes—
1036C2×C4⋊C4C2414yes—
1037C2×C4⋊C4C2411yescharacteristic
1038C2×C4⋊C4C2411yescharacteristic
1039C2×C4⋊C4C2414yes—
1040C2×C4⋊C4C2412yes—
1041C2×C4⋊C4C2412yes—
1042C2×C4⋊C4C2412yes—
1043C2×C4⋊C4C2412yes—
1044C2×C4⋊C4C2412yes—
1045C2×C4⋊C4C2412yes—
1046C2×C4⋊C4C2412yes—
1047C2×C4⋊C4C2412yes—
1048C2×C4⋊C4C2414yes—
1049C2×C4⋊C4C2414yes—
1050C2×C4⋊C4C2414yes—
1051C2×C4⋊C4C2414yes—
1052C2×C4⋊C4C2414yes—
1053C2×C4⋊C4C2414yes—
1054C2×C4⋊C4C2414yes—
1055C2×C4⋊C4C2414yes—
1056C2×C4⋊C4C2414yes—
1057C2×C4⋊C4C2414yes—
1058C2×C4⋊C4C2414yes—
1059C2×C4⋊C4C2414yes—
1060C2×C4⋊C4C2414yes—
1061C2×C4⋊C4C2414yes—
1062C2×C4⋊C4C2412yes—
1063C2×C4⋊C4C2412yes—
1064C2×C4⋊C4C2414yes—
1065C2×C4⋊C4C2414yes—
1066C2×C4⋊C4C2412yes—
1067C2×C4⋊C4C2412yes—
1068C2×C4⋊C4C2412yes—
1069C2×C4⋊C4C2412yes—
1070C2×C4⋊C4C2414yes—
1071C2×C4⋊C4C2414yes—
1072C2×C4⋊C4C2411yescharacteristic
1073C2×C22⋊C4C2412yes—
1074C2×C22⋊C4C2412yes—
1075C2×C22⋊C4C2412yes—
1076C2×C22⋊C4C2412yes—
1077C2×C22⋊C4C2412yes—
1078C2×C22⋊C4C2412yes—
1079C2×C22⋊C4C2412yes—
1080C2×C22⋊C4C2412yes—
1081C2×C22⋊C4C2412yes—
1082C2×C22⋊C4C2412yes—
1083C2×C22⋊C4C2412yes—
1084C2×C22⋊C4C2412yes—
1085C2×C22⋊C4C2414yes—
1086C2×C22⋊C4C2412yes—
1087C2×C22⋊C4C2412yes—
1088C2×C22⋊C4C2412yes—
1089C2×C22⋊C4C2412yes—
1090C2×C22⋊C4C2412yes—
1091C2×C22⋊C4C2412yes—
1092C2×C22⋊C4C2412yes—
1093C2×C22⋊C4C2412yes—
1094C2×C22⋊C4C2412yes—
1095C2×C22⋊C4C2412yes—
1096C2×C22⋊C4C2412yes—
1097C2×C22⋊C4C2412yes—
1098C2×C22⋊C4C2412yes—
1099C2×C22⋊C4C2414yes—
1100C2×C22⋊C4C2414yes—
1101C2×C22⋊C4C2414yes—
1102C2×C22⋊C4C2414yes—
1103C2×C22⋊C4C2412yes—
1104C2×C22⋊C4C2414yes—
1105C2×C22⋊C4C2414yes—
1106C2×C22⋊C4C2414yes—
1107C2×C22⋊C4C2414yes—
1108C2×C22⋊C4C2414yes—
1109C2×C22⋊C4C2414yes—
1110C2×C22⋊C4C2414yes—
1111C2×C22⋊C4C2414yes—
1112C2×C22⋊C4C2414yes—
1113C2×C22⋊C4C2414yes—
1114C2×C22⋊C4C2414yes—
1115C2×C22⋊C4C2414yes—
1116C2×C22⋊C4C2414yes—
1117C2×C22⋊C4C2412yes—
1118C2×C22⋊C4C2412yes—
1119C2×C22⋊C4C2414yes—
1120C2×C22⋊C4C2414yes—
1121C2×C22⋊C4C2412yes—
1122C2×C22⋊C4C2412yes—
1123C2×C22⋊C4C2412yes—
1124C2×C22⋊C4C2412yes—
1125C2×C22⋊C4C2412yes—
1126C2×C22⋊C4C2412yes—
1127C2×C22⋊C4C2412yes—
1128C2×C22⋊C4C2412yes—
1129C2×C22⋊C4C2412yes—
1130C2×C22⋊C4C2412yes—
1131C2×C22⋊C4C2414yes—
1132C2×C22⋊C4C2414yes—
1133C2×C22⋊C4C2414yes—
1134C2×C42—24no—
1135C2×C42—24no—
1136C2×C42—24no—
1137C2×C42—44no—
1138C2×C42—44no—
1139C2×C42C2411yescharacteristic
1140C2×C42C2412yes—
1141C2×C42C2412yes—
1142C2×C42C2412yes—
1143C2×C42C2412yes—
1144C2×C42C2411yescharacteristic
1145C2×C42C2411yescharacteristic
1146C2×C42C2411yescharacteristic
1147C2×C42C2411yescharacteristic
1148C2×C42C2411yescharacteristic
1149C2×C42C2411yescharacteristic
1150C2×C42C2411yescharacteristic
1151C2×C42C2411yescharacteristic
1152C2×C42C2411yescharacteristic
1153C2×C42C2411yescharacteristic
1154C2×C42C2412yes—
1155C2×C42C2412yes—
1156C2×C42C2411yescharacteristic
1157C2×C42C2414yes—
1158C2×C42C2412yes—
1159C2×C42C2412yes—
1160C2×C42C2414yes—
1161C2×C42C2414yes—
1162C2×C42C2412yes—
1163C2×C42C2412yes—
1164#95C2411yescharacteristic
1165#95C2411yescharacteristic
1166#95C2411yescharacteristic
1167#95C2411yescharacteristic
1168#95C2411yescharacteristic
1169#95C2411yescharacteristic
1170#95C2411yescharacteristic
1171#95C2411yescharacteristic
1172#95C2414yes—
1173#95C2414yes—
1174#95C2414yes—
1175#95C2414yes—
1176#95C2414yes—
1177#95C2414yes—
1178#95C2414yes—
1179#95C2414yes—
1180#95C2414yes—
1181#95C2414yes—
1182#95C2414yes—
1183#95C2414yes—
1184#95C2414yes—
1185#95C2414yes—
1186#95C2412yes—
1187#95C2412yes—
1188#95C2412yes—
1189#95C2412yes—
1190#95C2412yes—
1191#95C2412yes—
1192#95C2412yes—
1193#95C2412yes—
1194#95C2412yes—
1195#95C2412yes—
1196#95C2412yes—
1197#95C2412yes—
1198#95C2412yes—
1199#95C2412yes—
1200#95C2412yes—
1201#95C2412yes—
1202#95C2412yes—
1203#95C2412yes—
1204#95C2412yes—
1205#95C2412yes—
1206#95C2412yes—
1207#95C2412yes—
1208#95C2412yes—
1209#95C2412yes—
1210#95C2412yes—
1211#95C2412yes—
1212#95C2412yes—
1213#95C2412yes—
1214#95C2412yes—
1215#95C2412yes—
1216#95C2412yes—
1217#95C2412yes—
1218#95C2414yes—
1219#95C2414yes—
1220#95C2414yes—
1221#95C2414yes—
1222#95C2414yes—
1223#95C2414yes—
1224#95C2414yes—
1225#95C2414yes—
1226#95C2414yes—
1227#95C2414yes—
1228#95C2414yes—
1229#95C2414yes—
1230#95C2414yes—
1231#95C2414yes—
1232C24C2512yes—
1233C24C2512yes—
1234C24C2512yes—
1235C24C2512yes—
1236C24C2511yescharacteristic
1237#41—464no—
1238#41—432no—
1239#41—432no—
1240#41—416no—
1241#41—416no—
1242#41—416no—
1243#41—416no—
1244C2×Q8—24no—
1245C2×Q8—24no—
1246C2×Q8—22no—
1247C2×Q8—22no—
1248C2×Q8—24no—
1249C2×Q8—24no—
1250C2×Q8—24no—
1251C2×Q8—22no—
1252C2×Q8—22no—
1253C2×Q8—24no—
1254C2×Q8—24no—
1255C2×Q8—22no—
1256C2×Q8—22no—
1257C2×Q8—24no—
1258C2×Q8—22no—
1259C2×Q8—22no—
1260C2×Q8—24no—
1261C2×Q8—24no—
1262C2×Q8—22no—
1263C2×Q8—22no—
1264C2×Q8—24no—
1265C2×Q8—24no—
1266C2×Q8—22no—
1267C2×Q8—22no—
1268C2×Q8—44no—
1269C2×Q8—44no—
1270C2×Q8—44no—
1271C2×Q8—432no—
1272C2×Q8—432no—
1273C2×Q8—416no—
1274C2×Q8—416no—
1275C2×D4—24no—
1276C2×D4—24no—
1277C2×D4—24no—
1278C2×D4—24no—
1279C2×D4—24no—
1280C2×D4—24no—
1281C2×D4—24no—
1282C2×D4—24no—
1283C2×D4—24no—
1284C2×D4—24no—
1285C2×D4—24no—
1286C2×D4—24no—
1287C2×D4—22no—
1288C2×D4—22no—
1289C2×D4—22no—
1290C2×D4—22no—
1291C2×D4—22no—
1292C2×D4—22no—
1293C2×D4—22no—
1294C2×D4—22no—
1295C2×D4—22no—
1296C2×D4—22no—
1297C2×D4—22no—
1298C2×D4—22no—
1299C2×D4—24no—
1300C2×D4—24no—
1301C2×D4—24no—
1302C2×D4—24no—
1303C2×D4—44no—
1304C2×D4—44no—
1305C2×D4—44no—
1306C2×D4—42no—
1307C2×D4—42no—
1308C2×D4—42no—
1309C2×D4—42no—
1310C2×D4—42no—
1311C2×D4—42no—
1312C2×D4—42no—
1313C2×D4—42no—
1314C2×D4—42no—
1315C2×D4—42no—
1316C2×D4—42no—
1317C2×D4—42no—
1318C2×D4—42no—
1319C2×D4—42no—
1320C2×D4—44no—
1321C2×D4—44no—
1322C2×D4—44no—
1323C2×D4—44no—
1324C2×D4—44no—
1325C2×D4—44no—
1326C22×C4—22no—
1327C22×C4—22no—
1328C22×C4—22no—
1329C22×C4—22no—
1330C22×C4—24no—
1331C22×C4—24no—
1332C22×C4—24no—
1333C22×C4—24no—
1334C22×C4—24no—
1335C22×C4—24no—
1336C22×C4—22no—
1337C22×C4—22no—
1338C22×C4—24no—
1339C22×C4—24no—
1340C22×C4—24no—
1341C22×C4—24no—
1342C22×C4—24no—
1343C22×C4—24no—
1344C22×C4—24no—
1345C22×C4—24no—
1346C22×C4—24no—
1347C22×C4—24no—
1348C22×C4—24no—
1349C22×C4—24no—
1350C22×C4—24no—
1351C22×C4—24no—
1352C22×C4—22no—
1353C22×C4—22no—
1354C22×C4—22no—
1355C22×C4—22no—
1356C22×C4—24no—
1357C22×C4—41no—
1358C22×C4—41no—
1359C22×C4—41no—
1360C22×C4—41no—
1361C22×C4—44no—
1362C22×C4—44no—
1363C22×C4—44no—
1364C22×C4—44no—
1365C22×C4—44no—
1366C22×C4—44no—
1367C22×C4—42no—
1368C22×C4—42no—
1369C22×C4—41no—
1370C22×C4—42no—
1371C22×C4—42no—
1372C22×C4—42no—
1373C22×C4—42no—
1374C22×C4—41no—
1375C22×C4—42no—
1376C22×C4—42no—
1377C22×C4—41no—
1378C22×C4—41no—
1379C22×C4—42no—
1380C22×C4—44no—
1381C22×C4—44no—
1382C22×C4—44no—
1383C22×C4H(5,𝔽2)14yes—
1384C22×C4H(5,𝔽2)14yes—
1385C22×C4H(5,𝔽2)14yes—
1386C22×C4C2511yescharacteristic
1387C22×C4C2511yescharacteristic
1388C22×C4C2511yescharacteristic
1389C22×C4C2511yescharacteristic
1390C22×C4C2511yescharacteristic
1391C22×C4C2514yes—
1392C22×C4C2512yes—
1393C22×C4C2512yes—
1394C22×C4C2511yescharacteristic
1395C22×C4C2512yes—
1396C22×C4C2512yes—
1397C22×C4C2514yes—
1398C22×C4C2512yes—
1399C22×C4C2512yes—
1400C22×C4C2512yes—
1401C22×C4C2514yes—
1402C22×C4C2512yes—
1403C22×C4C2512yes—
1404C22×C4C2511yescharacteristic
1405C22×C4C2511yescharacteristic
1406C22×C4C2512yes—
1407C22×C4C2514yes—
1408C22×C4C2512yes—
1409C22×C4C2512yes—
1410C22×C4C2511yescharacteristic
1411C22×C4C2511yescharacteristic
1412C22×C4C2511yescharacteristic
1413C22×C4C2511yescharacteristic
1414C22×C4C2511yescharacteristic
1415C22×C4C2511yescharacteristic
1416C4⋊C4—24no—
1417C4⋊C4—24no—
1418C4⋊C4—24no—
1419C4⋊C4—24no—
1420C4⋊C4—22no—
1421C4⋊C4—22no—
1422C4⋊C4—22no—
1423C4⋊C4—22no—
1424C4⋊C4—22no—
1425C4⋊C4—22no—
1426C4⋊C4—22no—
1427C4⋊C4—22no—
1428C4⋊C4—22no—
1429C4⋊C4—22no—
1430C4⋊C4—22no—
1431C4⋊C4—24no—
1432C4⋊C4—24no—
1433C4⋊C4—22no—
1434C4⋊C4—28no—
1435C4⋊C4—22no—
1436C4⋊C4—41no—
1437C4⋊C4—41no—
1438C4⋊C4—44no—
1439C4⋊C4—44no—
1440C4⋊C4—44no—
1441C4⋊C4—44no—
1442C4⋊C4—44no—
1443C4⋊C4—44no—
1444C4⋊C4—44no—
1445C4⋊C4—44no—
1446C4⋊C4—42no—
1447C4⋊C4—42no—
1448C4⋊C4—42no—
1449C4⋊C4—42no—
1450C4⋊C4—44no—
1451C4⋊C4—44no—
1452C4⋊C4—42no—
1453C4⋊C4—42no—
1454C4⋊C4—42no—
1455C4⋊C4—42no—
1456C4⋊C4—42no—
1457C4⋊C4—42no—
1458C4⋊C4—42no—
1459C4⋊C4—42no—
1460C4⋊C4—44no—
1461C4⋊C4—44no—
1462C4⋊C4—44no—
1463C4⋊C4—44no—
1464C4⋊C4—44no—
1465C4⋊C4—44no—
1466C4⋊C4—44no—
1467C4⋊C4—44no—
1468C4⋊C4—44no—
1469C4⋊C4—44no—
1470C4⋊C4—44no—
1471C4⋊C4—44no—
1472C4⋊C4—44no—
1473C4⋊C4—44no—
1474C4⋊C4—42no—
1475C4⋊C4—42no—
1476C4⋊C4—44no—
1477C4⋊C4—44no—
1478C4⋊C42−1+414yescomplemented
1479C22⋊C4—24no—
1480C22⋊C4—24no—
1481C22⋊C4—24no—
1482C22⋊C4—24no—
1483C22⋊C4—24no—
1484C22⋊C4—24no—
1485C22⋊C4—24no—
1486C22⋊C4—24no—
1487C22⋊C4—24no—
1488C22⋊C4—24no—
1489C22⋊C4—24no—
1490C22⋊C4—42no—
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—42no—
1501C22⋊C4—44no—
1502C22⋊C4—42no—
1503C22⋊C4—42no—
1504C22⋊C4—42no—
1505C22⋊C4—44no—
1506C22⋊C4—42no—
1507C22⋊C4—42no—
1508C22⋊C4—42no—
1509C22⋊C4—42no—
1510C22⋊C4—42no—
1511C22⋊C4—42no—
1512C22⋊C4—42no—
1513C22⋊C4—42no—
1514C22⋊C4—42no—
1515C22⋊C4—42no—
1516C22⋊C4—42no—
1517C22⋊C4—42no—
1518C22⋊C4—44no—
1519C22⋊C4—42no—
1520C22⋊C4—44no—
1521C22⋊C4—44no—
1522C22⋊C4—44no—
1523C22⋊C4—44no—
1524C22⋊C4—44no—
1525C22⋊C4—44no—
1526C22⋊C4—44no—
1527C22⋊C4—44no—
1528C22⋊C4—44no—
1529C22⋊C4—44no—
1530C22⋊C4—44no—
1531C22⋊C4—44no—
1532C22⋊C4—44no—
1533C22⋊C4—44no—
1534C22⋊C4—44no—
1535C22⋊C4—44no—
1536C22⋊C4—42no—
1537C22⋊C4—42no—
1538C22⋊C4—44no—
1539C22⋊C4—44no—
1540C42—22no—
1541C42—22no—
1542C42—22no—
1543C42—22no—
1544C42—22no—
1545C42—22no—
1546C42—22no—
1547C42—22no—
1548C42—22no—
1549C42—22no—
1550C42—22no—
1551C42—22no—
1552C42—24no—
1553C42—24no—
1554C42—24no—
1555C42—24no—
1556C42—24no—
1557C42—24no—
1558C42—42no—
1559C42—42no—
1560C42—44no—
1561C42—44no—
1562C42—42no—
1563C42—42no—
1564C42—44no—
1565C23—21no—
1566C23—21no—
1567C23—21no—
1568C23—21no—
1569C23—22no—
1570C23—22no—
1571C23—22no—
1572C23—22no—
1573C23—22no—
1574C23—22no—
1575C23—22no—
1576C23—22no—
1577C23—22no—
1578C23—22no—
1579C23—22no—
1580C23—22no—
1581C23—22no—
1582C23—22no—
1583C23—22no—
1584C23—22no—
1585C23—22no—
1586C23—22no—
1587C23—22no—
1588C23—22no—
1589C23—22no—
1590C23—22no—
1591C23—22no—
1592C23—22no—
1593C23—22no—
1594C23—22no—
1595C23—22no—
1596C23—22no—
1597C23C2×H(5,𝔽2)12yes—
1598C23C2×H(5,𝔽2)12yes—
1599C23C2×H(5,𝔽2)12yes—
1600C23C2611yescharacteristic
1601Q8—416no—
1602Q8—48no—
1603Q8—48no—
1604Q8—48no—
1605Q8—44no—
1606Q8—48no—
1607Q8—44no—
1608Q8—44no—
1609Q8—44no—
1610D4—416no—
1611D4—48no—
1612D4—48no—
1613D4—48no—
1614D4—48no—
1615D4—44no—
1616D4—44no—
1617D4—44no—
1618D4—44no—
1619D4—84no—
1620D4—84no—
1621D4—84no—
1622D4—84no—
1623D4—84no—
1624D4—84no—
1625D4—164no—
1626D4—164no—
1627C2×C4—21no—
1628C2×C4—21no—
1629C2×C4—21no—
1630C2×C4—21no—
1631C2×C4—21no—
1632C2×C4—21no—
1633C2×C4—21no—
1634C2×C4—21no—
1635C2×C4—21no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—22no—
1644C2×C4—22no—
1645C2×C4—22no—
1646C2×C4—22no—
1647C2×C4—22no—
1648C2×C4—22no—
1649C2×C4—22no—
1650C2×C4—22no—
1651C2×C4—24no—
1652C2×C4—22no—
1653C2×C4—22no—
1654C2×C4—24no—
1655C2×C4—24no—
1656C2×C4—22no—
1657C2×C4—22no—
1658C2×C4—24no—
1659C2×C4—24no—
1660C2×C4—22no—
1661C2×C4—22no—
1662C2×C4—22no—
1663C2×C4—22no—
1664C2×C4—22no—
1665C2×C4—22no—
1666C2×C4—24no—
1667C2×C4—24no—
1668C2×C4—22no—
1669C2×C4—22no—
1670C2×C4—24no—
1671C2×C4—22no—
1672C2×C4—22no—
1673C2×C4—22no—
1674C2×C4—22no—
1675C2×C4—21no—
1676C2×C4—21no—
1677C2×C4—21no—
1678C2×C4—22no—
1679C2×C4—22no—
1680C2×C4—22no—
1681C2×C4—22no—
1682C2×C4—21no—
1683C2×C4—21no—
1684C2×C4—24no—
1685C2×C4—21no—
1686C2×C4—24no—
1687C2×C4—21no—
1688C2×C4—22no—
1689C2×C4—22no—
1690C2×C4—22no—
1691C2×C4—22no—
1692C2×C4—21no—
1693C2×C4—21no—
1694C2×C4—21no—
1695C2×C4—22no—
1696C2×C4—22no—
1697C2×C4—22no—
1698C2×C4—21no—
1699C2×C4—24no—
1700C2×C4—21no—
1701C2×C4—21no—
1702C2×C4—21no—
1703C2×C4—22no—
1704C2×C4—24no—
1705C2×C4—21no—
1706C2×C4—21no—
1707C2×C4—44no—
1708C2×C4—44no—
1709C2×C4—44no—
1710C2×C4—44no—
1711C2×C4—416no—
1712C2×C4—416no—
1713C2×C4—48no—
1714C2×C4—48no—
1715C2×C4—48no—
1716C2×C4—48no—
1717C2×C4—48no—
1718C2×C4—48no—
1719C2×C4—84no—
1720C2×C4—82no—
1721C2×C4—84no—
1722C2×C4—82no—
1723C2×C4—84no—
1724C2×C4—84no—
1725C2×C4—164no—
1726C2×C4#560116yes—
1727C2×C4C2×H(5,𝔽2)12yes—
1728C2×C4C2×H(5,𝔽2)12yes—
1729C2×C4C2×H(5,𝔽2)12yes—
1730C2×C4C2×H(5,𝔽2)12yes—
1731C2×C4C2×H(5,𝔽2)12yes—
1732C2×C4C2×H(5,𝔽2)12yes—
1733C2×C4C2×2−1+412yes—
1734C2×C4C2×2−1+412yes—
1735C2×C4C2×2−1+412yes—
1736C2×C4#58512yes—
1737C22—22no—
1738C22—22no—
1739C22—22no—
1740C22—22no—
1741C22—22no—
1742C22—22no—
1743C22—42no—
1744C22—42no—
1745C22—42no—
1746C22—42no—
1747C22—42no—
1748C22—42no—
1749C22—42no—
1750C22—42no—
1751C22—42no—
1752C22—42no—
1753C22—42no—
1754C22—42no—
1755C22—42no—
1756C22—42no—
1757C22—42no—
1758C22—42no—
1759C22—42no—
1760C22—42no—
1761C22—42no—
1762C22—42no—
1763C22—42no—
1764C22—42no—
1765C22—42no—
1766C22—42no—
1767C22—42no—
1768C22—42no—
1769C22—42no—
1770C22—42no—
1771C22C2×#56014yes—
1772C22C22×H(5,𝔽2)11yescharacteristic
1773C22C22×H(5,𝔽2)11yescharacteristic
1774C22C22×H(5,𝔽2)11yescharacteristic
1775C22C22×2−1+411yescharacteristic
1776C22C2×#58511yescharacteristic
1777C222−1+611yescharacteristic
1778C222−1+611yescharacteristic
1779C4—22no—
1780C4—22no—
1781C4—22no—
1782C4—22no—
1783C4—42no—
1784C4—41no—
1785C4—42no—
1786C4—42no—
1787C4—42no—
1788C4—41no—
1789C4—41no—
1790C4—42no—
1791C4—44no—
1792C4—42no—
1793C4—41no—
1794C4—41no—
1795C4—42no—
1796C4—42no—
1797C4—44no—
1798C4—42no—
1799C4—42no—
1800C4—44no—
1801C4—42no—
1802C4—42no—
1803C4—41no—
1804C4—41no—
1805C4—41no—
1806C4—44no—
1807C4C2×#56014yes—
1808C4C2×#56014yes—
1809C2—24no—
1810C2—82no—
1811C2—82no—
1812C2—82no—
1813C2—82no—
1814C2C22×#56011yescharacteristic
1815C2#6283511yescharacteristic
1816C2#6288811yescharacteristic
1817C2#6293111yescharacteristic
1818C2#6294211yescharacteristic
1819C2#6294611yescharacteristic
1820C2#6295411yescharacteristic
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. #53136C2semidirect
2. #53095C2semidirect
3. #53087C2semidirect
4. #53087C2semidirect
5. #53051C2semidirect
6. #53041C2semidirect
7. #53041C2semidirect
8. #53011C2semidirect
9. #52799C2semidirect
10. #52549C2semidirect
11. #46050C2semidirect
12. #46048C2semidirect
13. #46020C2semidirect
14. #46002C2semidirect
15. #45721C2semidirect
16. #45677C2semidirect
17. #45616C2semidirect
18. #45550C2semidirect
19. #45550C2semidirect
20. #45497C2semidirect
21. #35666C2semidirect
22. #35660C2semidirect
23. #35660C2semidirect
24. #35621C2semidirect
25. #35619C2semidirect
26. #35564C2semidirect
27. #35317C2semidirect
28. #35308C2semidirect
29. #35307C2semidirect
30. #35267C2semidirect
31. #35178C2semidirect
32. #35153C2semidirect
33. #34937C2semidirect
34. #34816C2semidirect
35. C2×#2446C2semidirect
1478. C4⋊C42−1+4semidirect

Maximal subgroups

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

subgroupindex
#531362
#530952
#530872
#530512
#530412
#530112
#527992
#525492
#460502
#460482
#460202
#460022
#457212
#456772
#456162
#455502
#454972
#356662
#356602
#356212
#356192
#355642
#353172
#353082
#353072
#352672
#351782
#351532
#349372
#348162
C2×#24462