Finite Group Databasebeta

← #8463243

Subgroups — #8463243

Order 512.

5047 conjugacy classes of subgroups.

The subgroup lattice has 1731 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59444C211yesmaximal, characteristic, complemented
2#59127C211yesmaximal, characteristic, complemented
3#59127C211yesmaximal, characteristic, complemented
4#58283C214yesmaximal, complemented
5#54854C214yesmaximal, complemented
6#54342C214yesmaximal, complemented
7#53118C212yesmaximal, complemented
8#53011C212yesmaximal, complemented
9#48376C214yesmaximal, complemented
10#46001C212yesmaximal, complemented
11#45677C212yesmaximal, complemented
12#45418C212yesmaximal, complemented
13#44988C212yesmaximal, complemented
14#42808C212yesmaximal, complemented
15#42807C212yesmaximal, complemented
16#42497C212yesmaximal, complemented
17#42453C212yesmaximal, complemented
18#40152C212yesmaximal, complemented
19#39769C211yesmaximal, characteristic, complemented
20#39615C212yesmaximal, complemented
21#39481C211yesmaximal, characteristic, complemented
22#39064C212yesmaximal, complemented
23#38930C211yesmaximal, characteristic, complemented
24#38911C211yesmaximal, characteristic, complemented
25#38081C212yesmaximal, complemented
26#37615C211yesmaximal, characteristic, complemented
27#37399C212yesmaximal, complemented
28#37312C212yesmaximal, complemented
29Q8×#127C211yesmaximal, characteristic, complemented
30#36274C211yesmaximal, characteristic, complemented
31D4×C4⋊Q8C211yesmaximal, characteristic, complemented
32#35279C211yesmaximal, characteristic, complemented
33#35187C211yesmaximal, characteristic, complemented
34#34898C211yesmaximal, characteristic, complemented
35#34727C211yesmaximal, characteristic
36C2×#552C2212yes—
37C2×D4×Q8C2212yes—
38C2×D4×Q8C2212yes—
39C2×D4×Q8C2212yes—
40C2×D4×Q8C2212yes—
41C2×D4×Q8C2212yes—
42C2×D4×Q8C2211yescharacteristic
43C2×D4×Q8C2211yescharacteristic
44C22×C4⋊Q8C2211yescharacteristic
45C22×C4⋊Q8C2211yescharacteristic
46C2×#529C2211yescharacteristic
47C2×C4×#41C2211yescharacteristic
48#2868C2211yescharacteristic
49#2868C2212yes—
50#2864C2212yes—
51#2863C2212yes—
52#2857C2211yescharacteristic
53#2857C2212yes—
54#2857C2211yescharacteristic
55#2857C2212yes—
56#2855C2212yes—
57#2843C2214yes—
58#2841C2214yes—
59#2838C2214yes—
60#2838C2214yes—
61#2827C2214yes—
62#2821C2214yes—
63#2821C2214yes—
64#2817C2214yes—
65#2796C2214yes—
66#2794C2214yes—
67#2794C2214yes—
68#2792C2214yes—
69#2791C2214yes—
70#2791C2214yes—
71#2790C2214yes—
72#2786C2214yes—
73#2777C2214yes—
74#2773C2214yes—
75#2773C2214yes—
76#2768C2214yes—
77#2749C2214yes—
78#2746C2214yes—
79#2746C2214yes—
80#2743C2214yes—
81#2742C2214yes—
82#2741C2214yes—
83#2740C2214yes—
84#2738C2214yes—
85#2738C2214yes—
86#2737C2214yes—
87#2737C2214yes—
88#2734C2214yes—
89#2734C2214yes—
90#2732C2214yes—
91#2729C2214yes—
92#2729C2214yes—
93#2729C2214yes—
94#2729C2214yes—
95#2728C2214yes—
96#2720C2214yes—
97#2720C2214yes—
98#2713C2214yes—
99#2713C2214yes—
100#2696C2214yes—
101#2696C2214yes—
102#2694C2214yes—
103#2691C2214yes—
104#2689C2214yes—
105#2689C2214yes—
106#2689C2214yes—
107#2687C2214yes—
108#2677C2214yes—
109#2677C2214yes—
110#2677C2214yes—
111#2677C2214yes—
112#2677C2214yes—
113#2677C2214yes—
114#2660C2212yes—
115#2659C2214yes—
116#2655C2214yes—
117#2647C2212yes—
118#2642C2212yes—
119#2640C2212yes—
120#2638C2214yes—
121#2638C2214yes—
122#2636C2214yes—
123#2628C2214yes—
124#2628C2214yes—
125#2625C2212yes—
126#2624C2212yes—
127#2623C2214yes—
128#2621C2212yes—
129#2621C2212yes—
130#2600C2214yes—
131#2598C2214yes—
132#2582C2211yescharacteristic
133#2577C2212yes—
134#2575C2212yes—
135#2571C2211yescharacteristic
136#2570C2212yes—
137#2570C2211yescharacteristic
138#2570C2212yes—
139#2568C2211yescharacteristic
140#2568C2211yescharacteristic
141#2568C2211yescharacteristic
142#2567C2212yes—
143#2565C2211yescharacteristic
144#2564C2214yes—
145#2564C2214yes—
146#2563C2212yes—
147#2562C2211yescharacteristic
148#2552C2212yes—
149#2551C2212yes—
150#2551C2212yes—
151#2551C2212yes—
152#2551C2212yes—
153#2550C2212yes—
154#2546C2212yes—
155#2546C2211yescharacteristic
156#2542C2212yes—
157#2542C2211yescharacteristic
158#2542C2212yes—
159#2542C2212yes—
160#2542C2211yescharacteristic
161#2542C2211yescharacteristic
162#2542C2211yescharacteristic
163#2542C2214yes—
164#2542C2214yes—
165#2542C2212yes—
166#2536C2212yes—
167#2536C2212yes—
168#2536C2212yes—
169#2536C2211yescharacteristic
170#2524C2212yes—
171#2524C2214yes—
172#2514C2212yes—
173#2514C2212yes—
174#2513C2212yes—
175#2512C2212yes—
176#2511C2212yes—
177#2511C2212yes—
178#2508C2212yes—
179#2507C2212yes—
180#2504C2212yes—
181#2503C2212yes—
182#2502C2212yes—
183#2499C2212yes—
184#2497C2212yes—
185#2496C2211yescharacteristic
186#2495C2211yescharacteristic
187#2492C2212yes—
188#2487C2214yes—
189#2479C2214yes—
190#2479C2212yes—
191#2471C2212yes—
192#2468C2212yes—
193#2467C2212yes—
194#2463C2214yes—
195#2463C2214yes—
196#2463C2214yes—
197#2463C2214yes—
198#2456C2212yes—
199#2454C2211yescharacteristic
200#2452C2212yes—
201#2452C2212yes—
202#2451C2212yes—
203#2450C2214yes—
204#2449C2214yes—
205#2449C2214yes—
206#2448C2211yescharacteristic
207#2447C2212yes—
208#2446C2212yes—
209#2446C2212yes—
210#2446C2212yes—
211#2445C2212yes—
212#2441C2211yescharacteristic
213#2440C2212yes—
214#2440C2212yes—
215#2440C2212yes—
216#2440C2212yes—
217#2440C2212yes—
218#2440C2212yes—
219#2439C2212yes—
220#2438C2214yes—
221#2438C2214yes—
222#2438C2214yes—
223#2434C2212yes—
224#2434C2212yes—
225#2434C2212yes—
226#2434C2212yes—
227#2431C2211yescharacteristic
228#2429C2212yes—
229#2429C2212yes—
230#2428C2211yescharacteristic
231#2423C2212yes—
232#2423C2211yescharacteristic
233#2423C2211yescharacteristic
234#2421C2212yes—
235#2421C2211yescharacteristic
236#2420C2212yes—
237#2420C2212yes—
238#2419C2214yes—
239#2419C2214yes—
240#2417C2212yes—
241#2417C2212yes—
242#2417C2212yes—
243#2415C2212yes—
244#2415C2212yes—
245#2415C2212yes—
246#2414C2211yescharacteristic
247#2409C2212yes—
248#2409C2212yes—
249#2409C2212yes—
250#2409C2212yes—
251#2409C2212yes—
252#2409C2212yes—
253#2409C2212yes—
254#2409C2212yes—
255#2407C2211yescharacteristic
256#2402C2212yes—
257#2397C2212yes—
258#2395C2212yes—
259#2392C2212yes—
260#2383C2214yes—
261#2365C2211yescharacteristic
262#2365C2211yescharacteristic
263#2361C2212yes—
264#2361C2212yes—
265#2354C2212yes—
266#2354C2211yescharacteristic
267#2349C2212yes—
268D4×C4⋊C4C2211yescharacteristic
269D4×C4⋊C4C2212yes—
270D4×C4⋊C4C2212yes—
271#2339C2212yes—
272#2327C2212yes—
273#2327C2212yes—
274#2325C2214yes—
275#2320C2212yes—
276#2319C2212yes—
277#2317C2212yes—
278#2314C2212yes—
279#2311C2212yes—
280#2310C2212yes—
281C4×C4⋊Q8C2211yescharacteristic
282C4×#127C2211yescharacteristic
283C4×#127C2212yes—
284C4×#125C2211yescharacteristic
285C4×#126C2212yes—
286C4×C22⋊Q8C2211yescharacteristic
287C4×C22⋊Q8C2211yescharacteristic
288C4×#121C2211yescharacteristic
289C4×#121C2211yescharacteristic
290C4×#121C2212yes—
291#2298C2212yes—
292#2295C2211yescharacteristic
293C2×#391C2212yes—
294#2290C2212yes—
295#2285C2211yescharacteristic
296#2283C2211yescharacteristic
297C42×Q8C2211yescharacteristic
298C42×D4C2211yescharacteristic
299C22×#41C2311yescharacteristic
300C23×Q8C2312yes—
301C23×Q8C2312yes—
302C23×Q8C2312yes—
303C23×Q8C2312yes—
304#552—48no—
305D4×Q8—44no—
306D4×Q8—44no—
307D4×Q8—48no—
308D4×Q8—48no—
309D4×Q8—48no—
310D4×Q8—48no—
311D4×Q8—48no—
312C2×C4⋊Q8—44no—
313C2×C4⋊Q8—44no—
314C2×C4⋊Q8C2311yescharacteristic
315C2×C4⋊Q8C2311yescharacteristic
316C2×C4⋊Q8C2311yescharacteristic
317C2×C4⋊Q8C2312yes—
318C2×C4⋊Q8C2312yes—
319C2×C4⋊Q8C2312yes—
320C2×C4⋊Q8C2312yes—
321C2×C4⋊Q8C2314yes—
322C2×C4⋊Q8C2312yes—
323C2×C4⋊Q8C2314yes—
324C2×C4⋊Q8C2312yes—
325C2×C4⋊Q8C2312yes—
326C2×C4⋊Q8C2312yes—
327C2×C4⋊Q8C2314yes—
328C2×C4⋊Q8C2312yes—
329C2×C4⋊Q8C2312yes—
330C2×C4⋊Q8C2312yes—
331C2×C4⋊Q8C2314yes—
332C2×C4⋊Q8C2314yes—
333C2×#127C2311yescharacteristic
334#529—44no—
335C2×#126C2312yes—
336C2×#126C2312yes—
337C2×#126C2314yes—
338C2×#125C2311yescharacteristic
339C2×#125C2311yescharacteristic
340C2×#125C2314yes—
341C2×#124C2311yescharacteristic
342C2×#123C2312yes—
343C2×#123C2314yes—
344C2×C22⋊Q8C2311yescharacteristic
345C2×C22⋊Q8C2311yescharacteristic
346C2×C22⋊Q8C2314yes—
347C2×C22⋊Q8C2314yes—
348C2×C22⋊Q8C2314yes—
349C2×C22⋊Q8C2314yes—
350C2×C22⋊Q8C2312yes—
351C2×C22⋊Q8C2312yes—
352C2×C22⋊Q8C2312yes—
353C2×C22⋊Q8C2312yes—
354C2×C22⋊Q8C2312yes—
355C2×C22⋊Q8C2312yes—
356C2×C22⋊Q8C2312yes—
357C2×C22⋊Q8C2312yes—
358C2×C22⋊Q8C2312yes—
359C2×C22⋊Q8C2312yes—
360C2×C22⋊Q8C2312yes—
361C2×C22⋊Q8C2312yes—
362C2×C22⋊Q8C2311yescharacteristic
363C2×C22⋊Q8C2314yes—
364C2×C22⋊Q8C2314yes—
365C2×C22⋊Q8C2314yes—
366C2×C22⋊Q8C2314yes—
367C2×C22⋊Q8C2314yes—
368C2×C22⋊Q8C2314yes—
369C2×C22⋊Q8C2314yes—
370C2×C22⋊Q8C2314yes—
371C2×#121C2312yes—
372C2×#121C2311yescharacteristic
373C2×#121C2311yescharacteristic
374C2×#121C2311yescharacteristic
375C4×#41—44no—
376C2×C4×Q8C2312yes—
377C2×C4×Q8C2311yescharacteristic
378C2×C4×Q8C2311yescharacteristic
379C2×C4×Q8C2311yescharacteristic
380C2×C4×Q8C2311yescharacteristic
381C2×C4×Q8C2311yescharacteristic
382C2×C4×Q8C2312yes—
383C2×C4×Q8C2312yes—
384C2×C4×D4C2311yescharacteristic
385C2×C4×D4C2311yescharacteristic
386C2×C4×D4C2312yes—
387C2×C4×D4C2311yescharacteristic
388C2×C4×D4C2312yes—
389C2×C4×D4C2311yescharacteristic
390C2×C4×D4C2311yescharacteristic
391C2×C4×D4C2314yes—
392C2×C4×D4C2312yes—
393C2×C4×D4C2312yes—
394C2×C4×D4C2312yes—
395C2×C4×D4C2314yes—
396C2×C4×D4C2311yescharacteristic
397C2×C4×D4C2314yes—
398C2×C4×D4C2314yes—
399C2×C4×D4C2314yes—
400C2×C4×D4C2312yes—
401C2×C4×D4C2312yes—
402C2×C4×D4C2312yes—
403C2×C4×D4C2312yes—
404C2×C4×D4C2312yes—
405C2×#117C2312yes—
406C2×#117C2312yes—
407C2×#117C2312yes—
408C2×#117C2311yescharacteristic
409C2×#117C2314yes—
410C2×#117C2312yes—
411C22×C4⋊C4C2312yes—
412C22×C4⋊C4C2312yes—
413C22×C4⋊C4C2312yes—
414C22×C4⋊C4C2312yes—
415C22×C4⋊C4C2312yes—
416C22×C42C2311yescharacteristic
417C22×C42C2311yescharacteristic
418C22×C42C2312yes—
419#401C2314yes—
420#400C2312yes—
421#400C2314yes—
422#400C2314yes—
423#400C2314yes—
424#400C2312yes—
425#400C2314yes—
426#400C2314yes—
427#400C2314yes—
428#400C2314yes—
429#400C2314yes—
430#400C2314yes—
431#400C2314yes—
432#400C2312yes—
433#400C2314yes—
434#400C2314yes—
435#400C2314yes—
436#400C2312yes—
437#400C2312yes—
438#400C2314yes—
439#400C2314yes—
440#400C2314yes—
441#399C2312yes—
442#399C2314yes—
443#399C2312yes—
444#399C2314yes—
445#399C2314yes—
446#399C2314yes—
447#399C2314yes—
448#399C2314yes—
449#399C2314yes—
450#399C2312yes—
451#399C2314yes—
452#399C2314yes—
453#399C2312yes—
454#399C2312yes—
455#398C2312yes—
456#398C2312yes—
457#398C2314yes—
458#398C2314yes—
459#398C2314yes—
460#398C2314yes—
461#398C2314yes—
462#398C2314yes—
463#398C2312yes—
464#398C2314yes—
465#398C2312yes—
466#398C2314yes—
467#398C2314yes—
468#398C2314yes—
469#398C2314yes—
470#398C2314yes—
471#398C2312yes—
472#398C2314yes—
473#398C2314yes—
474#398C2314yes—
475#398C2314yes—
476#398C2312yes—
477#398C2314yes—
478#398C2314yes—
479#398C2314yes—
480#398C2314yes—
481#398C2314yes—
482#397C2312yes—
483#397C2314yes—
484#397C2314yes—
485#397C2314yes—
486#397C2314yes—
487#397C2314yes—
488#397C2314yes—
489#397C2312yes—
490#397C2314yes—
491#397C2312yes—
492#397C2312yes—
493#397C2314yes—
494#397C2314yes—
495#397C2314yes—
496#397C2314yes—
497#397C2314yes—
498#396C2314yes—
499#396C2314yes—
500#396C2314yes—
501#396C2312yes—
502#396C2314yes—
503#396C2314yes—
504#396C2312yes—
505#395C2314yes—
506#395C2314yes—
507#395C2314yes—
508#395C2314yes—
509#395C2314yes—
510#395C2314yes—
511#395C2314yes—
512#395C2314yes—
513#395C2314yes—
514#395C2314yes—
515#395C2314yes—
516#395C2314yes—
517#395C2314yes—
518#395C2314yes—
519#395C2314yes—
520#395C2314yes—
521#394C2312yes—
522#394C2312yes—
523#394C2314yes—
524#394C2314yes—
525#394C2314yes—
526#394C2314yes—
527#394C2312yes—
528#394C2312yes—
529#394C2312yes—
530#394C2314yes—
531#394C2314yes—
532#393C2314yes—
533#393C2314yes—
534#393C2314yes—
535#393C2314yes—
536#393C2314yes—
537#393C2314yes—
538#393C2314yes—
539#393C2314yes—
540#392C2312yes—
541#392C2312yes—
542#392C2312yes—
543#392C2312yes—
544#392C2312yes—
545#391C2312yes—
546#391C2311yescharacteristic
547#391C2311yescharacteristic
548#391C2312yes—
549#391C2312yes—
550#391C2312yes—
551#391C2314yes—
552#391C2314yes—
553#391C2312yes—
554#391C2312yes—
555#391C2312yes—
556#391C2312yes—
557#391C2312yes—
558#391C2312yes—
559#391C2312yes—
560#391C2312yes—
561#391C2312yes—
562#391C2312yes—
563#391C2312yes—
564#391C2311yescharacteristic
565#391C2312yes—
566#391C2312yes—
567#391C2311yescharacteristic
568#391C2314yes—
569#391C2314yes—
570#390C2312yes—
571#390C2311yescharacteristic
572#390C2312yes—
573#390C2311yescharacteristic
574#390C2314yes—
575#390C2312yes—
576#390C2314yes—
577#390C2312yes—
578#390C2312yes—
579#390C2311yescharacteristic
580#390C2312yes—
581#390C2312yes—
582#390C2312yes—
583#390C2311yescharacteristic
584#389C2311yescharacteristic
585#389C2311yescharacteristic
586#389C2312yes—
587#389C2312yes—
588#389C2314yes—
589#389C2314yes—
590#389C2311yescharacteristic
591#389C2311yescharacteristic
592#389C2311yescharacteristic
593#389C2312yes—
594#389C2312yes—
595#389C2311yescharacteristic
596#389C2312yes—
597#389C2312yes—
598#389C2314yes—
599#389C2314yes—
600#389C2312yes—
601#389C2312yes—
602#389C2312yes—
603#389C2314yes—
604#389C2312yes—
605#389C2312yes—
606#389C2312yes—
607#389C2312yes—
608#389C2314yes—
609#389C2314yes—
610#389C2312yes—
611#389C2312yes—
612#389C2314yes—
613#389C2314yes—
614#389C2314yes—
615#389C2314yes—
616#389C2311yescharacteristic
617#389C2311yescharacteristic
618#389C2312yes—
619#388C2312yes—
620#388C2312yes—
621#388C2312yes—
622#388C2312yes—
623#388C2314yes—
624#388C2314yes—
625#388C2314yes—
626#388C2314yes—
627#388C2312yes—
628#388C2314yes—
629#388C2312yes—
630#388C2314yes—
631#388C2314yes—
632#388C2312yes—
633#388C2314yes—
634#388C2314yes—
635#388C2314yes—
636#388C2314yes—
637#388C2314yes—
638#388C2312yes—
639#388C2314yes—
640#388C2312yes—
641#388C2312yes—
642#388C2312yes—
643#388C2314yes—
644#388C2312yes—
645#388C2312yes—
646#387C2312yes—
647#387C2312yes—
648#387C2312yes—
649#387C2312yes—
650#387C2312yes—
651#387C2312yes—
652#387C2314yes—
653#387C2314yes—
654#387C2314yes—
655#387C2312yes—
656#387C2314yes—
657#387C2312yes—
658#387C2314yes—
659#387C2314yes—
660#387C2314yes—
661#387C2314yes—
662#387C2312yes—
663#387C2314yes—
664#387C2314yes—
665#387C2312yes—
666#387C2314yes—
667#387C2314yes—
668#387C2314yes—
669#387C2314yes—
670#387C2314yes—
671#387C2314yes—
672#387C2314yes—
673#387C2314yes—
674#387C2314yes—
675#387C2314yes—
676#387C2314yes—
677#387C2314yes—
678#387C2314yes—
679#387C2314yes—
680#387C2314yes—
681#387C2312yes—
682#387C2312yes—
683#387C2312yes—
684#387C2312yes—
685#387C2312yes—
686#386C2312yes—
687#386C2312yes—
688#386C2314yes—
689#386C2314yes—
690#386C2314yes—
691#386C2314yes—
692#386C2314yes—
693#386C2314yes—
694#386C2314yes—
695#386C2314yes—
696#386C2314yes—
697#386C2314yes—
698#386C2314yes—
699#386C2312yes—
700#386C2312yes—
701#386C2312yes—
702#386C2312yes—
703#385C2314yes—
704#385C2314yes—
705#385C2314yes—
706#385C2314yes—
707#385C2314yes—
708#385C2314yes—
709#385C2314yes—
710#385C2312yes—
711#385C2312yes—
712#385C2314yes—
713#385C2314yes—
714#385C2314yes—
715#385C2314yes—
716#385C2314yes—
717#385C2314yes—
718#385C2314yes—
719#385C2314yes—
720#385C2314yes—
721#385C2314yes—
722#385C2314yes—
723#385C2312yes—
724#385C2312yes—
725#384C2312yes—
726#384C2311yescharacteristic
727#384C2311yescharacteristic
728#384C2311yescharacteristic
729#384C2312yes—
730#384C2312yes—
731#384C2312yes—
732#384C2311yescharacteristic
733#384C2312yes—
734#384C2314yes—
735#384C2312yes—
736#384C2312yes—
737#384C2312yes—
738#384C2314yes—
739#383C2312yes—
740#383C2312yes—
741#383C2314yes—
742#383C2314yes—
743#382C2311yescharacteristic
744#382C2312yes—
745#382C2312yes—
746#382C2311yescharacteristic
747#382C2312yes—
748#382C2312yes—
749#382C2311yescharacteristic
750#382C2312yes—
751#382C2312yes—
752#382C2314yes—
753#381C2314yes—
754#381C2314yes—
755#381C2314yes—
756#381C2312yes—
757#381C2314yes—
758#381C2314yes—
759#380C2311yescharacteristic
760#380C2311yescharacteristic
761#380C2311yescharacteristic
762#380C2311yescharacteristic
763#380C2314yes—
764#380C2314yes—
765#380C2314yes—
766#380C2314yes—
767#380C2314yes—
768#380C2314yes—
769#380C2311yescharacteristic
770#380C2312yes—
771#380C2312yes—
772#380C2314yes—
773#380C2312yes—
774#380C2312yes—
775#380C2312yes—
776#380C2312yes—
777#380C2312yes—
778#380C2312yes—
779#380C2311yescharacteristic
780#380C2311yescharacteristic
781#380C2311yescharacteristic
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2311yescharacteristic
786C4×C4⋊C4C2311yescharacteristic
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2311yescharacteristic
789C4×C4⋊C4C2312yes—
790C4×C4⋊C4C2312yes—
791C4×C4⋊C4C2311yescharacteristic
792C4×C4⋊C4C2311yescharacteristic
793C4×C4⋊C4C2312yes—
794C4×C4⋊C4C2312yes—
795C4×C4⋊C4C2312yes—
796C4×C4⋊C4C2311yescharacteristic
797C4×C4⋊C4C2312yes—
798C4×C4⋊C4C2312yes—
799C4×C4⋊C4C2312yes—
800C4×C4⋊C4C2311yescharacteristic
801C4×C4⋊C4C2312yes—
802C4×C4⋊C4C2312yes—
803C4×C4⋊C4C2311yescharacteristic
804C4×C4⋊C4C2311yescharacteristic
805C4×C22⋊C4C2311yescharacteristic
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2311yescharacteristic
809C4×C22⋊C4C2311yescharacteristic
810C4×C22⋊C4C2312yes—
811C4×C22⋊C4C2311yescharacteristic
812C4×C22⋊C4C2312yes—
813C4×C22⋊C4C2312yes—
814C4×C22⋊C4C2311yescharacteristic
815C4×C22⋊C4C2311yescharacteristic
816#376C2312yes—
817#376C2312yes—
818C2×#95C2314yes—
819C2×#95C2314yes—
820C43C2312yes—
821C43C2311yescharacteristic
822C2×#41—24no—
823C2×#41—24no—
824C2×#41—42no—
825C22×Q8—28no—
826C22×Q8—28no—
827C22×Q8—44no—
828C22×Q8—44no—
829C22×Q8—44no—
830C22×Q8—44no—
831C22×Q8—44no—
832C22×Q8—44no—
833C22×Q8—44no—
834C22×Q8—44no—
835C22×Q8—44no—
836C22×Q8—44no—
837C22×Q8C2411yescharacteristic
838C22×Q8C2412yes—
839C22×Q8C2412yes—
840C22×Q8C2412yes—
841C22×Q8C2411yescharacteristic
842C22×Q8C2414yes—
843C22×Q8C2414yes—
844C22×Q8C2414yes—
845C22×Q8C2414yes—
846C22×D4C2411yescharacteristic
847C22×D4C2411yescharacteristic
848C22×D4C2412yes—
849C22×D4C2412yes—
850C22×D4C2412yes—
851C22×D4C2412yes—
852C22×D4C2411yescharacteristic
853C22×D4C2412yes—
854C22×D4C2412yes—
855C23×C4C2411yescharacteristic
856C23×C4C2412yes—
857C23×C4C2412yes—
858C23×C4C2411yescharacteristic
859C23×C4C2411yescharacteristic
860C23×C4C2411yescharacteristic
861C23×C4C2411yescharacteristic
862C23×C4C2412yes—
863C23×C4C2411yescharacteristic
864C23×C4C2414yes—
865C23×C4C2414yes—
866C23×C4C2414yes—
867C23×C4C2412yes—
868C23×C4C2414yes—
869C23×C4C2414yes—
870C4⋊Q8—28no—
871C4⋊Q8—24no—
872C4⋊Q8—24no—
873C4⋊Q8—24no—
874C4⋊Q8—28no—
875C4⋊Q8—44no—
876C4⋊Q8—44no—
877C4⋊Q8—44no—
878C4⋊Q8—44no—
879C4⋊Q8—48no—
880C4⋊Q8—44no—
881C4⋊Q8—44no—
882C4⋊Q8—48no—
883C4⋊Q8—44no—
884C4⋊Q8—44no—
885C4⋊Q8—44no—
886C4⋊Q8—48no—
887C4⋊Q8—48no—
888C4⋊Q8—48no—
889#127—24no—
890#126—28no—
891#126—44no—
892#126—48no—
893#125—24no—
894#125—42no—
895#125—48no—
896#124—42no—
897#123—44no—
898#123—48no—
899C22⋊Q8—24no—
900C22⋊Q8—24no—
901C22⋊Q8—48no—
902C22⋊Q8—48no—
903C22⋊Q8—48no—
904C22⋊Q8—48no—
905C22⋊Q8—48no—
906C22⋊Q8—48no—
907C22⋊Q8—48no—
908C22⋊Q8—48no—
909C22⋊Q8—48no—
910C22⋊Q8—48no—
911C22⋊Q8—42no—
912C22⋊Q8—44no—
913C22⋊Q8—44no—
914C22⋊Q8—44no—
915C22⋊Q8—44no—
916C22⋊Q8—44no—
917C22⋊Q8—44no—
918C22⋊Q8—44no—
919C22⋊Q8—44no—
920C22⋊Q8—48no—
921C22⋊Q8—48no—
922C22⋊Q8—44no—
923C22⋊Q8—44no—
924C22⋊Q8—44no—
925C22⋊Q8—44no—
926#121—24no—
927#121—24no—
928#121—28no—
929#121—42no—
930C4×Q8—24no—
931C4×Q8—24no—
932C4×Q8—24no—
933C4×Q8—24no—
934C4×Q8—28no—
935C4×Q8—42no—
936C4×Q8—44no—
937C4×Q8—44no—
938C4×D4—28no—
939C4×D4—24no—
940C4×D4—24no—
941C4×D4—24no—
942C4×D4—24no—
943C4×D4—24no—
944C4×D4—28no—
945C4×D4—42no—
946C4×D4—48no—
947C4×D4—44no—
948C4×D4—44no—
949C4×D4—48no—
950C4×D4—44no—
951C4×D4—44no—
952C4×D4—44no—
953C4×D4—48no—
954C4×D4—44no—
955C4×D4—44no—
956C4×D4—44no—
957C4×D4—48no—
958C4×D4—48no—
959#117—28no—
960#117—44no—
961#117—44no—
962#117—48no—
963#117—42no—
964#117—44no—
965C2×C4⋊C4—44no—
966C2×C4⋊C4—44no—
967C2×C4⋊C4—44no—
968C2×C4⋊C4—44no—
969C2×C4⋊C4—44no—
970C2×C4⋊C4C2411yescharacteristic
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2411yescharacteristic
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2411yescharacteristic
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2411yescharacteristic
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2414yes—
988C2×C4⋊C4C2414yes—
989C2×C4⋊C4C2411yescharacteristic
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2411yescharacteristic
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2411yescharacteristic
994C2×C4⋊C4C2411yescharacteristic
995C2×C4⋊C4C2411yescharacteristic
996C2×C4⋊C4C2411yescharacteristic
997C2×C4⋊C4C2411yescharacteristic
998C2×C4⋊C4C2411yescharacteristic
999C2×C4⋊C4C2411yescharacteristic
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2414yes—
1004C2×C4⋊C4C2411yescharacteristic
1005C2×C4⋊C4C2411yescharacteristic
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2414yes—
1014C2×C4⋊C4C2414yes—
1015C2×C4⋊C4C2414yes—
1016C2×C4⋊C4C2414yes—
1017C2×C4⋊C4C2414yes—
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2414yes—
1020C2×C4⋊C4C2412yes—
1021C2×C4⋊C4C2412yes—
1022C2×C4⋊C4C2412yes—
1023C2×C4⋊C4C2414yes—
1024C2×C4⋊C4C2412yes—
1025C2×C4⋊C4C2412yes—
1026C2×C4⋊C4C2412yes—
1027C2×C4⋊C4C2414yes—
1028C2×C4⋊C4C2414yes—
1029C2×C4⋊C4C2414yes—
1030C2×C4⋊C4C2414yes—
1031C2×C4⋊C4C2414yes—
1032C2×C4⋊C4C2414yes—
1033C2×C4⋊C4C2414yes—
1034C2×C4⋊C4C2414yes—
1035C2×C4⋊C4C2414yes—
1036C2×C4⋊C4C2414yes—
1037C2×C4⋊C4C2414yes—
1038C2×C4⋊C4C2414yes—
1039C2×C4⋊C4C2414yes—
1040C2×C4⋊C4C2414yes—
1041C2×C4⋊C4C2412yes—
1042C2×C4⋊C4C2412yes—
1043C2×C4⋊C4C2412yes—
1044C2×C4⋊C4C2412yes—
1045C2×C4⋊C4C2412yes—
1046C2×C4⋊C4C2414yes—
1047C2×C4⋊C4C2414yes—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2411yescharacteristic
1055C2×C22⋊C4C2411yescharacteristic
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2411yescharacteristic
1059C2×C22⋊C4C2411yescharacteristic
1060C2×C22⋊C4C2411yescharacteristic
1061C2×C22⋊C4C2414yes—
1062C2×C22⋊C4C2412yes—
1063C2×C22⋊C4C2412yes—
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2412yes—
1070C2×C22⋊C4C2414yes—
1071C2×C22⋊C4C2412yes—
1072C2×C22⋊C4C2414yes—
1073C2×C22⋊C4C2414yes—
1074C2×C22⋊C4C2414yes—
1075C2×C22⋊C4C2412yes—
1076C2×C22⋊C4C2412yes—
1077C2×C22⋊C4C2414yes—
1078C2×C22⋊C4C2414yes—
1079C2×C22⋊C4C2414yes—
1080C2×C22⋊C4C2414yes—
1081C2×C22⋊C4C2412yes—
1082C2×C22⋊C4C2412yes—
1083C2×C22⋊C4C2414yes—
1084C2×C22⋊C4C2414yes—
1085C2×C22⋊C4C2414yes—
1086C2×C22⋊C4C2414yes—
1087C2×C22⋊C4C2412yes—
1088C2×C22⋊C4C2412yes—
1089C2×C22⋊C4C2412yes—
1090C2×C22⋊C4C2412yes—
1091C2×C22⋊C4C2414yes—
1092C2×C22⋊C4C2412yes—
1093C2×C22⋊C4C2412yes—
1094C2×C22⋊C4C2412yes—
1095C2×C22⋊C4C2414yes—
1096C2×C22⋊C4C2411yescharacteristic
1097C2×C42—24no—
1098C2×C42—24no—
1099C2×C42—44no—
1100C2×C42C2411yescharacteristic
1101C2×C42C2411yescharacteristic
1102C2×C42C2412yes—
1103C2×C42C2414yes—
1104C2×C42C2412yes—
1105C2×C42C2412yes—
1106C2×C42C2412yes—
1107C2×C42C2412yes—
1108C2×C42C2411yescharacteristic
1109C2×C42C2412yes—
1110C2×C42C2412yes—
1111C2×C42C2411yescharacteristic
1112C2×C42C2411yescharacteristic
1113C2×C42C2411yescharacteristic
1114C2×C42C2412yes—
1115C2×C42C2411yescharacteristic
1116C2×C42C2411yescharacteristic
1117C2×C42C2412yes—
1118C2×C42C2411yescharacteristic
1119C2×C42C2411yescharacteristic
1120C2×C42C2414yes—
1121C2×C42C2412yes—
1122C2×C42C2414yes—
1123C2×C42C2414yes—
1124C2×C42C2412yes—
1125C2×C42C2411yescharacteristic
1126C2×C42C2412yes—
1127C2×C42C2411yescharacteristic
1128C2×C42C2411yescharacteristic
1129#95C2412yes—
1130#95C2412yes—
1131#95C2414yes—
1132#95C2414yes—
1133#95C2414yes—
1134#95C2414yes—
1135#95C2414yes—
1136#95C2414yes—
1137#95C2412yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2412yes—
1141#95C2412yes—
1142#95C2412yes—
1143#95C2412yes—
1144#95C2412yes—
1145#95C2411yescharacteristic
1146#95C2411yescharacteristic
1147#95C2411yescharacteristic
1148#95C2411yescharacteristic
1149#95C2411yescharacteristic
1150#95C2411yescharacteristic
1151#95C2412yes—
1152#95C2412yes—
1153#95C2412yes—
1154#95C2412yes—
1155#95C2412yes—
1156#95C2412yes—
1157#95C2412yes—
1158#95C2412yes—
1159#95C2412yes—
1160#95C2412yes—
1161#95C2412yes—
1162#95C2412yes—
1163#95C2412yes—
1164#95C2414yes—
1165#95C2414yes—
1166#95C2412yes—
1167#95C2412yes—
1168#95C2412yes—
1169#95C2414yes—
1170#95C2412yes—
1171#95C2412yes—
1172#95C2412yes—
1173#95C2412yes—
1174#95C2412yes—
1175#95C2412yes—
1176#95C2414yes—
1177#95C2412yes—
1178#95C2414yes—
1179#95C2412yes—
1180#95C2412yes—
1181#95C2412yes—
1182#95C2414yes—
1183#95C2414yes—
1184#95C2414yes—
1185#95C2414yes—
1186#95C2414yes—
1187#95C2414yes—
1188#95C2414yes—
1189#95C2414yes—
1190#95C2414yes—
1191#95C2414yes—
1192#95C2414yes—
1193#95C2414yes—
1194#95C2414yes—
1195#95C2414yes—
1196#95C2414yes—
1197#95C2414yes—
1198#95C2414yes—
1199#95C2414yes—
1200#95C2414yes—
1201#95C2414yes—
1202#95C2414yes—
1203C24C2512yes—
1204C24C2511yescharacteristic
1205C24C2511yescharacteristic
1206C24C2512yes—
1207#41—416no—
1208C2×Q8—22no—
1209C2×Q8—22no—
1210C2×Q8—22no—
1211C2×Q8—24no—
1212C2×Q8—24no—
1213C2×Q8—24no—
1214C2×Q8—24no—
1215C2×Q8—24no—
1216C2×Q8—24no—
1217C2×Q8—24no—
1218C2×Q8—24no—
1219C2×Q8—24no—
1220C2×Q8—28no—
1221C2×Q8—28no—
1222C2×Q8—22no—
1223C2×Q8—22no—
1224C2×Q8—44no—
1225C2×Q8—44no—
1226C2×Q8—44no—
1227C2×Q8—44no—
1228C2×Q8—44no—
1229C2×Q8—44no—
1230C2×Q8—44no—
1231C2×Q8—44no—
1232C2×Q8—44no—
1233C2×Q8—44no—
1234C2×Q8—816no—
1235C2×Q8—816no—
1236C2×Q8—816no—
1237C2×Q8—816no—
1238C2×Q8H(5,𝔽2)14yes—
1239C2×D4—22no—
1240C2×D4—22no—
1241C2×D4—24no—
1242C2×D4—24no—
1243C2×D4—24no—
1244C2×D4—24no—
1245C2×D4—24no—
1246C2×D4—24no—
1247C2×D4—24no—
1248C2×D4—24no—
1249C2×D4—22no—
1250C2×D4—22no—
1251C2×D4—22no—
1252C2×D4—24no—
1253C2×D4—22no—
1254C2×D4—24no—
1255C2×D4—22no—
1256C2×D4—22no—
1257C2×D4—42no—
1258C2×D4—42no—
1259C2×D4—42no—
1260C2×D4—42no—
1261C2×D4—42no—
1262C2×D4—42no—
1263C2×D4—42no—
1264C2×D4—42no—
1265C2×D42−1+414yes—
1266C22×C4—22no—
1267C22×C4—22no—
1268C22×C4—22no—
1269C22×C4—24no—
1270C22×C4—28no—
1271C22×C4—22no—
1272C22×C4—22no—
1273C22×C4—22no—
1274C22×C4—22no—
1275C22×C4—22no—
1276C22×C4—24no—
1277C22×C4—24no—
1278C22×C4—24no—
1279C22×C4—24no—
1280C22×C4—22no—
1281C22×C4—22no—
1282C22×C4—22no—
1283C22×C4—22no—
1284C22×C4—24no—
1285C22×C4—24no—
1286C22×C4—22no—
1287C22×C4—22no—
1288C22×C4—22no—
1289C22×C4—24no—
1290C22×C4—28no—
1291C22×C4—28no—
1292C22×C4—24no—
1293C22×C4—42no—
1294C22×C4—41no—
1295C22×C4—41no—
1296C22×C4—42no—
1297C22×C4—44no—
1298C22×C4—44no—
1299C22×C4—44no—
1300C22×C4—44no—
1301C22×C4—44no—
1302C22×C4—44no—
1303C22×C4—44no—
1304C22×C4—44no—
1305C22×C4—44no—
1306C22×C4—44no—
1307C22×C4—44no—
1308C22×C4—42no—
1309C22×C4—44no—
1310C22×C42−1+414yes—
1311C22×C4C2512yes—
1312C22×C4C2512yes—
1313C22×C4C2511yescharacteristic
1314C22×C4C2512yes—
1315C22×C4C2512yes—
1316C22×C4C2512yes—
1317C22×C4C2512yes—
1318C22×C4C2512yes—
1319C22×C4C2512yes—
1320C22×C4C2511yescharacteristic
1321C22×C4C2514yes—
1322C22×C4C2511yescharacteristic
1323C22×C4C2512yes—
1324C22×C4C2512yes—
1325C22×C4C2512yes—
1326C22×C4C2511yescharacteristic
1327C22×C4C2511yescharacteristic
1328C22×C4C2514yes—
1329C22×C4C2514yes—
1330C22×C4C2514yes—
1331C22×C4C2512yes—
1332C22×C4C2512yes—
1333C22×C4C2511yescharacteristic
1334C22×C4C2511yescharacteristic
1335C22×C4C2511yescharacteristic
1336C22×C4C2512yes—
1337C22×C4C2511yescharacteristic
1338C22×C4C2511yescharacteristic
1339C22×C4C2511yescharacteristic
1340C22×C4C2511yescharacteristic
1341C22×C4C2511yescharacteristic
1342C4⋊C4—22no—
1343C4⋊C4—24no—
1344C4⋊C4—24no—
1345C4⋊C4—24no—
1346C4⋊C4—24no—
1347C4⋊C4—24no—
1348C4⋊C4—24no—
1349C4⋊C4—24no—
1350C4⋊C4—22no—
1351C4⋊C4—24no—
1352C4⋊C4—22no—
1353C4⋊C4—22no—
1354C4⋊C4—24no—
1355C4⋊C4—22no—
1356C4⋊C4—24no—
1357C4⋊C4—22no—
1358C4⋊C4—28no—
1359C4⋊C4—28no—
1360C4⋊C4—28no—
1361C4⋊C4—28no—
1362C4⋊C4—24no—
1363C4⋊C4—24no—
1364C4⋊C4—24no—
1365C4⋊C4—22no—
1366C4⋊C4—22no—
1367C4⋊C4—22no—
1368C4⋊C4—28no—
1369C4⋊C4—22no—
1370C4⋊C4—22no—
1371C4⋊C4—24no—
1372C4⋊C4—24no—
1373C4⋊C4—24no—
1374C4⋊C4—24no—
1375C4⋊C4—24no—
1376C4⋊C4—22no—
1377C4⋊C4—22no—
1378C4⋊C4—24no—
1379C4⋊C4—22no—
1380C4⋊C4—22no—
1381C4⋊C4—24no—
1382C4⋊C4—24no—
1383C4⋊C4—24no—
1384C4⋊C4—24no—
1385C4⋊C4—44no—
1386C4⋊C4—44no—
1387C4⋊C4—44no—
1388C4⋊C4—44no—
1389C4⋊C4—44no—
1390C4⋊C4—42no—
1391C4⋊C4—42no—
1392C4⋊C4—42no—
1393C4⋊C4—44no—
1394C4⋊C4—44no—
1395C4⋊C4—42no—
1396C4⋊C4—42no—
1397C4⋊C4—42no—
1398C4⋊C4—44no—
1399C4⋊C4—42no—
1400C4⋊C4—42no—
1401C4⋊C4—42no—
1402C4⋊C4—44no—
1403C4⋊C4—42no—
1404C4⋊C4—42no—
1405C4⋊C4—42no—
1406C4⋊C4—44no—
1407C4⋊C4—44no—
1408C4⋊C4—44no—
1409C4⋊C4—44no—
1410C4⋊C4—44no—
1411C4⋊C4—44no—
1412C4⋊C4—44no—
1413C4⋊C4—44no—
1414C4⋊C4—44no—
1415C4⋊C4—44no—
1416C4⋊C4—44no—
1417C4⋊C4—44no—
1418C4⋊C4—44no—
1419C4⋊C4—44no—
1420C22⋊C4—24no—
1421C22⋊C4—24no—
1422C22⋊C4—22no—
1423C22⋊C4—28no—
1424C22⋊C4—24no—
1425C22⋊C4—24no—
1426C22⋊C4—24no—
1427C22⋊C4—24no—
1428C22⋊C4—24no—
1429C22⋊C4—22no—
1430C22⋊C4—22no—
1431C22⋊C4—24no—
1432C22⋊C4—24no—
1433C22⋊C4—24no—
1434C22⋊C4—24no—
1435C22⋊C4—22no—
1436C22⋊C4—22no—
1437C22⋊C4—24no—
1438C22⋊C4—24no—
1439C22⋊C4—42no—
1440C22⋊C4—42no—
1441C22⋊C4—44no—
1442C22⋊C4—42no—
1443C22⋊C4—42no—
1444C22⋊C4—42no—
1445C22⋊C4—42no—
1446C22⋊C4—44no—
1447C22⋊C4—42no—
1448C22⋊C4—44no—
1449C22⋊C4—42no—
1450C22⋊C4—42no—
1451C22⋊C4—42no—
1452C22⋊C4—42no—
1453C22⋊C4—44no—
1454C22⋊C4—44no—
1455C22⋊C4—44no—
1456C22⋊C4—44no—
1457C22⋊C4—44no—
1458C22⋊C4—44no—
1459C22⋊C4—42no—
1460C22⋊C4—42no—
1461C22⋊C4—44no—
1462C22⋊C4—44no—
1463C22⋊C4—44no—
1464C22⋊C4—44no—
1465C22⋊C4—42no—
1466C22⋊C4—42no—
1467C22⋊C4—44no—
1468C22⋊C42−1+414yes—
1469C42—22no—
1470C42—22no—
1471C42—22no—
1472C42—22no—
1473C42—22no—
1474C42—22no—
1475C42—24no—
1476C42—28no—
1477C42—24no—
1478C42—22no—
1479C42—24no—
1480C42—24no—
1481C42—24no—
1482C42—24no—
1483C42—24no—
1484C42—22no—
1485C42—22no—
1486C42—24no—
1487C42—24no—
1488C42—22no—
1489C42—42no—
1490C42—42no—
1491C42—41no—
1492C42—42no—
1493C42—44no—
1494C42—44no—
1495C42—44no—
1496C42H(5,𝔽2)14yes—
1497C42H(5,𝔽2)14yes—
1498C23—21no—
1499C23—21no—
1500C23—21no—
1501C23—21no—
1502C23—22no—
1503C23—22no—
1504C23—22no—
1505C23—21no—
1506C23—21no—
1507C23—21no—
1508C23—21no—
1509C23—21no—
1510C23—22no—
1511C23—21no—
1512C23—22no—
1513C23—21no—
1514C23—21no—
1515C23—22no—
1516C23—22no—
1517C23—22no—
1518C23—22no—
1519C23—22no—
1520C23—22no—
1521C23—22no—
1522C23—22no—
1523C23C2×2−1+412yes—
1524C23C2×2−1+412yes—
1525C23C2×2−1+414yes—
1526C23C2611yescharacteristic
1527Q8—28no—
1528Q8—44no—
1529Q8—48no—
1530Q8—48no—
1531Q8—48no—
1532Q8—88no—
1533Q8—88no—
1534Q8—88no—
1535Q8—88no—
1536D4—28no—
1537D4—28no—
1538D4—48no—
1539D4—48no—
1540D4—48no—
1541D4—48no—
1542D4—48no—
1543D4—44no—
1544D4—84no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—22no—
1549C2×C4—22no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—28no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—22no—
1565C2×C4—22no—
1566C2×C4—24no—
1567C2×C4—22no—
1568C2×C4—22no—
1569C2×C4—22no—
1570C2×C4—21no—
1571C2×C4—22no—
1572C2×C4—22no—
1573C2×C4—24no—
1574C2×C4—22no—
1575C2×C4—22no—
1576C2×C4—22no—
1577C2×C4—22no—
1578C2×C4—22no—
1579C2×C4—24no—
1580C2×C4—24no—
1581C2×C4—22no—
1582C2×C4—22no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—22no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—24no—
1589C2×C4—24no—
1590C2×C4—24no—
1591C2×C4—22no—
1592C2×C4—22no—
1593C2×C4—24no—
1594C2×C4—24no—
1595C2×C4—24no—
1596C2×C4—22no—
1597C2×C4—21no—
1598C2×C4—22no—
1599C2×C4—22no—
1600C2×C4—22no—
1601C2×C4—22no—
1602C2×C4—22no—
1603C2×C4—22no—
1604C2×C4—22no—
1605C2×C4—21no—
1606C2×C4—22no—
1607C2×C4—22no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—24no—
1611C2×C4—22no—
1612C2×C4—22no—
1613C2×C4—22no—
1614C2×C4—22no—
1615C2×C4—22no—
1616C2×C4—22no—
1617C2×C4—22no—
1618C2×C4—22no—
1619C2×C4—21no—
1620C2×C4—22no—
1621C2×C4—21no—
1622C2×C4—22no—
1623C2×C4—24no—
1624C2×C4—22no—
1625C2×C4—22no—
1626C2×C4—44no—
1627C2×C4—44no—
1628C2×C4—48no—
1629C2×C4—44no—
1630C2×C4—48no—
1631C2×C4—48no—
1632C2×C4—44no—
1633C2×C4—44no—
1634C2×C4—84no—
1635C2×C4—88no—
1636C2×C4—88no—
1637C2×C4—88no—
1638C2×C4—88no—
1639C2×C4—88no—
1640C2×C4C2×H(5,𝔽2)12yes—
1641C2×C4C2×H(5,𝔽2)12yes—
1642C2×C4C2×H(5,𝔽2)12yes—
1643C2×C4C2×H(5,𝔽2)14yes—
1644C2×C4C2×H(5,𝔽2)12yes—
1645C2×C4C2×H(5,𝔽2)12yes—
1646C2×C4C2×H(5,𝔽2)12yes—
1647C2×C4C2×H(5,𝔽2)12yes—
1648C2×C4C2×2−1+412yes—
1649C2×C4C2×2−1+412yes—
1650C2×C4C2×2−1+412yes—
1651C2×C4C2×2−1+412yes—
1652C2×C4C2×2−1+412yes—
1653C22—22no—
1654C22—24no—
1655C22—24no—
1656C22—22no—
1657C22—22no—
1658C22—22no—
1659C22—22no—
1660C22—22no—
1661C22—24no—
1662C22—41no—
1663C22—41no—
1664C22—41no—
1665C22—42no—
1666C22—41no—
1667C22—42no—
1668C22—41no—
1669C22—42no—
1670C22—41no—
1671C22—42no—
1672C22—41no—
1673C22—41no—
1674C22—42no—
1675C22—42no—
1676C22—42no—
1677C22—42no—
1678C22—42no—
1679C22—42no—
1680C22—42no—
1681C22C22×H(5,𝔽2)11yescharacteristic
1682C22C22×H(5,𝔽2)11yescharacteristic
1683C22C22×H(5,𝔽2)11yescharacteristic
1684C22C22×2−1+411yescharacteristic
1685C22C22×2−1+411yescharacteristic
1686C22C22×2−1+411yescharacteristic
1687C222−1+611yescharacteristic
1688C4—22no—
1689C4—24no—
1690C4—22no—
1691C4—22no—
1692C4—22no—
1693C4—22no—
1694C4—22no—
1695C4—41no—
1696C4—42no—
1697C4—42no—
1698C4—42no—
1699C4—41no—
1700C4—41no—
1701C4—44no—
1702C4—44no—
1703C4—44no—
1704C4—42no—
1705C4—42no—
1706C4—42no—
1707C4—42no—
1708C4—41no—
1709C4—42no—
1710C4—42no—
1711C4—42no—
1712C4—42no—
1713C4—41no—
1714C4—44no—
1715C4—42no—
1716C4—42no—
1717C4#353814yes—
1718C4#354314yes—
1719C2—42no—
1720C2—44no—
1721C2—42no—
1722C2—82no—
1723C2C2×#353811yescharacteristic
1724C2C2×#354311yescharacteristic
1725C2#6283311yescharacteristic
1726C2#6291311yescharacteristic
1727C2#6294211yescharacteristic
1728C2#6294211yescharacteristic
1729C2#6301611yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#34727C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59444C2semidirect
2. #59127C2semidirect
3. #59127C2semidirect
4. #58283C2semidirect
5. #54854C2semidirect
6. #54342C2semidirect
7. #53118C2semidirect
8. #53011C2semidirect
9. #48376C2semidirect
10. #46001C2semidirect
11. #45677C2semidirect
12. #45418C2semidirect
13. #44988C2semidirect
14. #42808C2semidirect
15. #42807C2semidirect
16. #42497C2semidirect
17. #42453C2semidirect
18. #40152C2semidirect
19. #39769C2semidirect
20. #39615C2semidirect
21. #39481C2semidirect
22. #39064C2semidirect
23. #38930C2semidirect
24. #38911C2semidirect
25. #38081C2semidirect
26. #37615C2semidirect
27. #37399C2semidirect
28. #37312C2semidirect
29. Q8×#127C2semidirect
30. #36274C2semidirect
31. D4×C4⋊Q8C2semidirect
32. #35279C2semidirect
33. #35187C2semidirect
34. #34898C2semidirect

Maximal subgroups

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

subgroupindex
#594442
#591272
#582832
#548542
#543422
#531182
#530112
#483762
#460012
#456772
#454182
#449882
#428082
#428072
#424972
#424532
#401522
#397692
#396152
#394812
#390642
#389302
#389112
#380812
#376152
#373992
#373122
Q8×#1272
#362742
D4×C4⋊Q82
#352792
#351872
#348982
#347272