Finite Group Databasebeta

← #8108033

Subgroups — #8108033

Order 512.

4766 conjugacy classes of subgroups.

The subgroup lattice has 1894 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#53136C212yesmaximal, complemented
2#53058C212yesmaximal, complemented
3#53012C212yesmaximal, complemented
4#53011C212yesmaximal, complemented
5#52982C212yesmaximal, complemented
6#52978C212yesmaximal, complemented
7#45413C212yesmaximal, complemented
8#45372C212yesmaximal, complemented
9#45250C212yesmaximal, complemented
10#45249C212yesmaximal, complemented
11#45217C212yesmaximal, complemented
12#45126C212yesmaximal, complemented
13#42991C212yesmaximal, complemented
14#42934C212yesmaximal, complemented
15#42932C212yesmaximal, complemented
16#42859C212yesmaximal, complemented
17#42851C212yesmaximal, complemented
18#42844C212yesmaximal, complemented
19#42808C212yesmaximal, complemented
20#42701C212yesmaximal, complemented
21#42640C212yesmaximal, complemented
22#42507C212yesmaximal, complemented
23#42491C212yesmaximal, complemented
24#42449C212yesmaximal, complemented
25#36210C211yesmaximal, characteristic, complemented
26#36210C211yesmaximal, characteristic, complemented
27#36189C211yesmaximal, characteristic, complemented
28#36181C211yesmaximal, characteristic, complemented
29#36134C211yesmaximal, characteristic, complemented
30#36129C211yesmaximal, characteristic, complemented
31#36129C211yesmaximal, characteristic, complemented
32D4×C4⋊Q8C211yesmaximal, characteristic, complemented
33#35319C211yesmaximal, characteristic, complemented
34#35297C211yesmaximal, characteristic, complemented
35#35291C211yesmaximal, characteristic, complemented
36#35280C211yesmaximal, characteristic, complemented
37#35279C211yesmaximal, characteristic, complemented
38#35279C211yesmaximal, characteristic, complemented
39#34547C211yesmaximal, characteristic
40C2×#552C2212yes—
41C2×D4×Q8C2212yes—
42C2×#541C2212yes—
43C2×#533C2211yescharacteristic
44C2×#533C2211yescharacteristic
45C22×C4⋊Q8C2211yescharacteristic
46C22×C4⋊Q8C2211yescharacteristic
47C2×C4×#41C2211yescharacteristic
48C2×C4×#41C2211yescharacteristic
49#2868C2211yescharacteristic
50#2862C2211yescharacteristic
51#2859C2211yescharacteristic
52#2859C2211yescharacteristic
53#2857C2211yescharacteristic
54#2857C2211yescharacteristic
55#2857C2211yescharacteristic
56#2857C2211yescharacteristic
57#2857C2211yescharacteristic
58#2857C2211yescharacteristic
59#2857C2211yescharacteristic
60#2857C2211yescharacteristic
61#2857C2211yescharacteristic
62#2857C2211yescharacteristic
63#2857C2211yescharacteristic
64#2857C2211yescharacteristic
65#2843C2214yes—
66#2841C2214yes—
67#2839C2214yes—
68#2838C2214yes—
69#2838C2214yes—
70#2838C2214yes—
71#2833C2214yes—
72#2831C2214yes—
73#2830C2214yes—
74#2827C2214yes—
75#2827C2214yes—
76#2821C2214yes—
77#2805C2214yes—
78#2797C2214yes—
79#2796C2214yes—
80#2792C2214yes—
81#2790C2214yes—
82#2790C2214yes—
83#2788C2214yes—
84#2787C2214yes—
85#2781C2214yes—
86#2774C2214yes—
87#2774C2214yes—
88#2767C2214yes—
89#2766C2214yes—
90#2759C2214yes—
91#2758C2214yes—
92#2750C2214yes—
93#2749C2214yes—
94#2746C2214yes—
95#2745C2214yes—
96#2737C2214yes—
97#2727C2214yes—
98#2721C2214yes—
99#2721C2214yes—
100#2720C2214yes—
101#2720C2214yes—
102#2716C2214yes—
103#2713C2214yes—
104#2704C2214yes—
105#2702C2214yes—
106#2696C2214yes—
107#2696C2214yes—
108#2694C2214yes—
109#2666C2214yes—
110#2666C2214yes—
111#2665C2214yes—
112#2655C2214yes—
113#2652C2214yes—
114#2649C2214yes—
115#2645C2212yes—
116#2642C2212yes—
117#2636C2214yes—
118#2629C2212yes—
119#2629C2212yes—
120#2628C2212yes—
121#2628C2214yes—
122#2628C2212yes—
123#2628C2212yes—
124#2628C2212yes—
125#2625C2212yes—
126#2625C2212yes—
127#2621C2212yes—
128#2616C2212yes—
129#2598C2214yes—
130#2589C2214yes—
131#2584C2212yes—
132#2582C2212yes—
133#2582C2212yes—
134#2581C2212yes—
135#2576C2214yes—
136#2570C2212yes—
137#2568C2212yes—
138#2568C2212yes—
139#2567C2212yes—
140#2567C2212yes—
141#2565C2212yes—
142#2563C2212yes—
143#2563C2212yes—
144#2562C2212yes—
145#2562C2212yes—
146#2562C2212yes—
147#2560C2214yes—
148#2556C2214yes—
149#2554C2214yes—
150#2552C2212yes—
151#2552C2214yes—
152#2551C2212yes—
153#2551C2212yes—
154#2550C2212yes—
155#2550C2212yes—
156#2546C2212yes—
157#2542C2212yes—
158#2542C2212yes—
159#2542C2212yes—
160#2538C2212yes—
161#2538C2212yes—
162#2538C2212yes—
163#2536C2212yes—
164#2520C2214yes—
165#2514C2212yes—
166#2514C2212yes—
167#2514C2212yes—
168#2511C2212yes—
169#2509C2212yes—
170#2509C2212yes—
171#2509C2212yes—
172#2508C2212yes—
173#2507C2212yes—
174#2506C2212yes—
175#2506C2212yes—
176#2506C2212yes—
177#2506C2212yes—
178#2506C2212yes—
179#2506C2212yes—
180#2503C2212yes—
181#2499C2212yes—
182#2497C2212yes—
183#2496C2212yes—
184#2496C2212yes—
185#2496C2212yes—
186#2496C2212yes—
187#2496C2212yes—
188#2496C2212yes—
189#2495C2212yes—
190#2495C2212yes—
191#2495C2212yes—
192#2494C2212yes—
193#2494C2212yes—
194#2494C2212yes—
195#2494C2212yes—
196#2494C2212yes—
197#2492C2212yes—
198#2492C2212yes—
199#2489C2212yes—
200#2487C2212yes—
201#2487C2212yes—
202#2487C2212yes—
203#2487C2212yes—
204#2487C2212yes—
205#2486C2212yes—
206#2486C2212yes—
207#2485C2212yes—
208#2485C2212yes—
209#2485C2212yes—
210#2485C2212yes—
211#2479C2214yes—
212#2467C2214yes—
213#2460C2214yes—
214#2453C2212yes—
215#2451C2212yes—
216#2451C2212yes—
217#2446C2212yes—
218#2446C2212yes—
219#2442C2212yes—
220#2442C2212yes—
221#2442C2212yes—
222#2441C2212yes—
223#2441C2212yes—
224#2441C2214yes—
225#2441C2212yes—
226#2440C2212yes—
227#2440C2212yes—
228#2440C2212yes—
229#2440C2212yes—
230#2439C2212yes—
231#2439C2212yes—
232#2434C2212yes—
233#2434C2212yes—
234#2429C2212yes—
235#2429C2212yes—
236#2429C2212yes—
237#2429C2212yes—
238#2423C2212yes—
239#2423C2212yes—
240#2423C2212yes—
241#2421C2212yes—
242#2421C2212yes—
243#2421C2212yes—
244#2417C2212yes—
245#2417C2212yes—
246#2417C2212yes—
247#2417C2212yes—
248#2417C2212yes—
249#2417C2212yes—
250#2417C2212yes—
251#2415C2212yes—
252#2415C2212yes—
253#2415C2212yes—
254#2415C2212yes—
255#2409C2212yes—
256#2409C2212yes—
257#2409C2212yes—
258#2409C2212yes—
259#2409C2212yes—
260#2409C2212yes—
261#2399C2211yescharacteristic
262#2398C2211yescharacteristic
263#2398C2211yescharacteristic
264#2397C2211yescharacteristic
265#2396C2211yescharacteristic
266#2396C2211yescharacteristic
267#2396C2211yescharacteristic
268#2396C2211yescharacteristic
269#2395C2211yescharacteristic
270#2395C2211yescharacteristic
271#2395C2211yescharacteristic
272#2395C2211yescharacteristic
273#2392C2211yescharacteristic
274#2392C2211yescharacteristic
275#2392C2211yescharacteristic
276#2392C2211yescharacteristic
277#2392C2211yescharacteristic
278#2392C2211yescharacteristic
279#2392C2211yescharacteristic
280#2392C2211yescharacteristic
281#2388C2211yescharacteristic
282#2388C2211yescharacteristic
283#2388C2211yescharacteristic
284#2388C2211yescharacteristic
285#2370C2212yes—
286#2370C2212yes—
287#2365C2212yes—
288#2362C2212yes—
289#2362C2212yes—
290#2360C2212yes—
291#2360C2212yes—
292#2360C2212yes—
293#2354C2212yes—
294#2352C2212yes—
295#2352C2212yes—
296#2352C2212yes—
297Q8×C4⋊C4C2212yes—
298D4×C4⋊C4C2212yes—
299D4×C4⋊C4C2212yes—
300#2347C2212yes—
301#2347C2212yes—
302#2345C2212yes—
303#2344C2212yes—
304#2344C2212yes—
305Q8×C22⋊C4C2212yes—
306Q8×C22⋊C4C2212yes—
307#2327C2212yes—
308#2323C2212yes—
309#2323C2212yes—
310#2323C2212yes—
311#2320C2212yes—
312#2317C2212yes—
313#2317C2212yes—
314#2316C2212yes—
315#2311C2212yes—
316#2311C2212yes—
317#2311C2212yes—
318C4×C4⋊Q8C2211yescharacteristic
319C4×C4⋊Q8C2211yescharacteristic
320C4×C4⋊Q8C2211yescharacteristic
321C4×C4⋊Q8C2211yescharacteristic
322#2285C2211yescharacteristic
323#2285C2211yescharacteristic
324#2285C2211yescharacteristic
325C2×#384C2211yescharacteristic
326C42×D4C2211yescharacteristic
327C42×D4C2211yescharacteristic
328C42×D4C2211yescharacteristic
329C42×D4C2211yescharacteristic
330C4×#117C2211yescharacteristic
331C22×#41C2311yescharacteristic
332C22×#41C2311yescharacteristic
333C23×Q8C2312yes—
334C23×Q8C2312yes—
335#552—48no—
336D4×Q8—48no—
337#541—48no—
338#533—44no—
339#533—44no—
340C2×C4⋊Q8—44no—
341C2×C4⋊Q8—44no—
342C2×C4⋊Q8C2311yescharacteristic
343C2×C4⋊Q8C2311yescharacteristic
344C2×C4⋊Q8C2311yescharacteristic
345C2×C4⋊Q8C2311yescharacteristic
346C2×C4⋊Q8C2312yes—
347C2×C4⋊Q8C2312yes—
348C2×C4⋊Q8C2312yes—
349C2×C4⋊Q8C2314yes—
350C2×C4⋊Q8C2312yes—
351C2×C4⋊Q8C2312yes—
352C2×C4⋊Q8C2312yes—
353C2×C4⋊Q8C2312yes—
354C2×C4⋊Q8C2312yes—
355C2×#126C2314yes—
356C2×#126C2314yes—
357C2×#126C2314yes—
358C2×#125C2312yes—
359C2×#125C2312yes—
360C2×#125C2312yes—
361C2×#125C2312yes—
362C2×#125C2314yes—
363C2×#125C2314yes—
364C2×#125C2314yes—
365C2×#123C2314yes—
366C2×C22⋊Q8C2312yes—
367C2×C22⋊Q8C2314yes—
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×C22⋊Q8C2312yes—
379C2×C22⋊Q8C2312yes—
380C2×C22⋊Q8C2312yes—
381C2×C22⋊Q8C2312yes—
382C2×C22⋊Q8C2312yes—
383C2×C22⋊Q8C2314yes—
384C4×#41—44no—
385C4×#41—44no—
386C2×C4×Q8C2312yes—
387C2×C4×Q8C2312yes—
388C2×C4×Q8C2312yes—
389C2×C4×Q8C2312yes—
390C2×C4×Q8C2311yescharacteristic
391C2×C4×Q8C2311yescharacteristic
392C2×C4×Q8C2311yescharacteristic
393C2×C4×Q8C2311yescharacteristic
394C2×C4×Q8C2312yes—
395C2×C4×Q8C2312yes—
396C2×C4×Q8C2312yes—
397C2×C4×Q8C2312yes—
398C2×C4×D4C2311yescharacteristic
399C2×C4×D4C2311yescharacteristic
400C2×C4×D4C2311yescharacteristic
401C2×C4×D4C2311yescharacteristic
402C2×C4×D4C2311yescharacteristic
403C2×C4×D4C2311yescharacteristic
404C2×C4×D4C2311yescharacteristic
405C2×C4×D4C2311yescharacteristic
406C2×C4×D4C2311yescharacteristic
407C2×C4×D4C2311yescharacteristic
408C2×C4×D4C2311yescharacteristic
409C2×C4×D4C2311yescharacteristic
410C2×C4×D4C2314yes—
411C2×C4×D4C2311yescharacteristic
412C2×C4×D4C2311yescharacteristic
413C2×C4×D4C2311yescharacteristic
414C2×C4×D4C2311yescharacteristic
415C2×C4×D4C2311yescharacteristic
416C2×C4×D4C2311yescharacteristic
417C2×C4×D4C2311yescharacteristic
418C2×C4×D4C2311yescharacteristic
419C2×C4×D4C2311yescharacteristic
420C2×C4×D4C2311yescharacteristic
421C2×C4×D4C2311yescharacteristic
422C2×C4×D4C2311yescharacteristic
423C2×#117C2312yes—
424C2×#117C2311yescharacteristic
425C2×#117C2312yes—
426C2×#117C2312yes—
427C2×#117C2311yescharacteristic
428C2×#117C2311yescharacteristic
429C2×#117C2311yescharacteristic
430C2×#117C2311yescharacteristic
431C2×#117C2314yes—
432C2×#117C2312yes—
433C2×#117C2312yes—
434C2×#117C2311yescharacteristic
435C2×#117C2311yescharacteristic
436C2×#117C2311yescharacteristic
437C22×C4⋊C4C2312yes—
438C22×C4⋊C4C2312yes—
439C22×C4⋊C4C2312yes—
440C22×C4⋊C4C2312yes—
441C22×C4⋊C4C2312yes—
442C22×C4⋊C4C2312yes—
443C22×C4⋊C4C2312yes—
444C22×C42C2311yescharacteristic
445C22×C42C2311yescharacteristic
446C22×C42C2311yescharacteristic
447C22×C42C2311yescharacteristic
448C22×C42C2311yescharacteristic
449#401C2314yes—
450#401C2314yes—
451#401C2314yes—
452#400C2314yes—
453#400C2314yes—
454#400C2314yes—
455#400C2314yes—
456#400C2314yes—
457#400C2314yes—
458#400C2314yes—
459#400C2314yes—
460#400C2314yes—
461#400C2314yes—
462#400C2314yes—
463#400C2314yes—
464#400C2314yes—
465#400C2314yes—
466#400C2311yescharacteristic
467#400C2314yes—
468#400C2314yes—
469#400C2314yes—
470#400C2314yes—
471#400C2314yes—
472#400C2314yes—
473#400C2314yes—
474#400C2314yes—
475#400C2314yes—
476#400C2311yescharacteristic
477#400C2311yescharacteristic
478#400C2311yescharacteristic
479#399C2311yescharacteristic
480#399C2314yes—
481#399C2314yes—
482#399C2314yes—
483#399C2314yes—
484#399C2314yes—
485#399C2314yes—
486#399C2314yes—
487#399C2311yescharacteristic
488#399C2311yescharacteristic
489#399C2311yescharacteristic
490#398C2314yes—
491#398C2314yes—
492#398C2314yes—
493#398C2314yes—
494#398C2314yes—
495#398C2314yes—
496#398C2314yes—
497#398C2314yes—
498#398C2314yes—
499#398C2314yes—
500#398C2314yes—
501#398C2314yes—
502#398C2314yes—
503#398C2314yes—
504#398C2314yes—
505#398C2314yes—
506#398C2311yescharacteristic
507#398C2314yes—
508#398C2314yes—
509#398C2311yescharacteristic
510#398C2314yes—
511#398C2311yescharacteristic
512#398C2311yescharacteristic
513#398C2311yescharacteristic
514#398C2311yescharacteristic
515#398C2311yescharacteristic
516#398C2311yescharacteristic
517#398C2314yes—
518#397C2314yes—
519#397C2314yes—
520#397C2314yes—
521#397C2314yes—
522#397C2314yes—
523#397C2314yes—
524#397C2314yes—
525#397C2314yes—
526#397C2314yes—
527#397C2314yes—
528#397C2314yes—
529#397C2311yescharacteristic
530#397C2311yescharacteristic
531#397C2311yescharacteristic
532#397C2314yes—
533#397C2311yescharacteristic
534#397C2311yescharacteristic
535#397C2311yescharacteristic
536#397C2311yescharacteristic
537#397C2311yescharacteristic
538#396C2314yes—
539#396C2314yes—
540#396C2314yes—
541#396C2314yes—
542#396C2314yes—
543#396C2314yes—
544#396C2314yes—
545#396C2311yescharacteristic
546#396C2311yescharacteristic
547#396C2314yes—
548#396C2314yes—
549#396C2311yescharacteristic
550#396C2311yescharacteristic
551#396C2311yescharacteristic
552#396C2311yescharacteristic
553#396C2311yescharacteristic
554#396C2311yescharacteristic
555#395C2314yes—
556#395C2314yes—
557#395C2314yes—
558#395C2314yes—
559#395C2314yes—
560#395C2314yes—
561#395C2314yes—
562#395C2314yes—
563#395C2314yes—
564#395C2314yes—
565#395C2314yes—
566#395C2311yescharacteristic
567#395C2311yescharacteristic
568#395C2311yescharacteristic
569#395C2311yescharacteristic
570#394C2311yescharacteristic
571#394C2314yes—
572#394C2314yes—
573#394C2314yes—
574#394C2311yescharacteristic
575#394C2311yescharacteristic
576#394C2311yescharacteristic
577#394C2314yes—
578#394C2311yescharacteristic
579#394C2314yes—
580#394C2311yescharacteristic
581#394C2311yescharacteristic
582#394C2311yescharacteristic
583#394C2311yescharacteristic
584#394C2311yescharacteristic
585#394C2311yescharacteristic
586#394C2311yescharacteristic
587#394C2311yescharacteristic
588#394C2311yescharacteristic
589#394C2311yescharacteristic
590#394C2311yescharacteristic
591#393C2314yes—
592#393C2314yes—
593#393C2314yes—
594#393C2314yes—
595#393C2314yes—
596#393C2314yes—
597#393C2311yescharacteristic
598#393C2311yescharacteristic
599#393C2311yescharacteristic
600#393C2311yescharacteristic
601#392C2311yescharacteristic
602#392C2311yescharacteristic
603#392C2311yescharacteristic
604#392C2311yescharacteristic
605#392C2311yescharacteristic
606#392C2311yescharacteristic
607#392C2311yescharacteristic
608#392C2311yescharacteristic
609#391C2314yes—
610#391C2312yes—
611#391C2312yes—
612#391C2312yes—
613#391C2312yes—
614#391C2312yes—
615#391C2312yes—
616#391C2314yes—
617#391C2314yes—
618#391C2314yes—
619#391C2312yes—
620#391C2312yes—
621#391C2312yes—
622#391C2312yes—
623#391C2312yes—
624#391C2314yes—
625#391C2312yes—
626#391C2314yes—
627#391C2312yes—
628#391C2312yes—
629#391C2312yes—
630#391C2312yes—
631#391C2312yes—
632#391C2312yes—
633#391C2314yes—
634#391C2312yes—
635#391C2312yes—
636#390C2314yes—
637#390C2314yes—
638#390C2314yes—
639#390C2314yes—
640#389C2312yes—
641#389C2312yes—
642#389C2312yes—
643#389C2312yes—
644#389C2312yes—
645#389C2312yes—
646#389C2312yes—
647#389C2312yes—
648#389C2312yes—
649#389C2312yes—
650#389C2312yes—
651#389C2312yes—
652#389C2312yes—
653#389C2312yes—
654#389C2312yes—
655#389C2312yes—
656#389C2312yes—
657#389C2314yes—
658#389C2314yes—
659#389C2312yes—
660#389C2312yes—
661#389C2312yes—
662#389C2312yes—
663#389C2312yes—
664#389C2312yes—
665#389C2312yes—
666#389C2312yes—
667#389C2312yes—
668#389C2312yes—
669#389C2312yes—
670#389C2314yes—
671#389C2314yes—
672#389C2312yes—
673#389C2314yes—
674#389C2312yes—
675#389C2312yes—
676#389C2312yes—
677#389C2314yes—
678#389C2314yes—
679#389C2314yes—
680#389C2312yes—
681#389C2312yes—
682#389C2314yes—
683#389C2312yes—
684#389C2312yes—
685#389C2312yes—
686#389C2312yes—
687#389C2312yes—
688#389C2312yes—
689#389C2314yes—
690#389C2314yes—
691#389C2314yes—
692#389C2314yes—
693#389C2314yes—
694#389C2314yes—
695#388C2314yes—
696#388C2314yes—
697#388C2314yes—
698#388C2314yes—
699#388C2314yes—
700#388C2314yes—
701#388C2314yes—
702#388C2314yes—
703#388C2314yes—
704#388C2314yes—
705#388C2314yes—
706#388C2314yes—
707#388C2314yes—
708#388C2314yes—
709#388C2314yes—
710#388C2314yes—
711#388C2314yes—
712#388C2314yes—
713#388C2314yes—
714#387C2314yes—
715#387C2314yes—
716#387C2314yes—
717#387C2314yes—
718#387C2314yes—
719#387C2314yes—
720#387C2314yes—
721#387C2314yes—
722#387C2314yes—
723#387C2314yes—
724#387C2314yes—
725#387C2314yes—
726#387C2314yes—
727#387C2314yes—
728#387C2314yes—
729#387C2314yes—
730#387C2314yes—
731#387C2314yes—
732#387C2314yes—
733#387C2314yes—
734#387C2314yes—
735#387C2314yes—
736#387C2314yes—
737#387C2314yes—
738#387C2314yes—
739#387C2314yes—
740#387C2314yes—
741#387C2314yes—
742#387C2314yes—
743#386C2314yes—
744#386C2314yes—
745#386C2314yes—
746#386C2314yes—
747#386C2314yes—
748#386C2314yes—
749#386C2314yes—
750#386C2314yes—
751#386C2314yes—
752#385C2314yes—
753#385C2314yes—
754#385C2314yes—
755#385C2314yes—
756#385C2314yes—
757#385C2314yes—
758#385C2314yes—
759#385C2314yes—
760#385C2314yes—
761#385C2314yes—
762#385C2314yes—
763#384C2311yescharacteristic
764#384C2311yescharacteristic
765#384C2311yescharacteristic
766#384C2311yescharacteristic
767#384C2312yes—
768#384C2314yes—
769#384C2314yes—
770#384C2312yes—
771#384C2312yes—
772#384C2312yes—
773#384C2312yes—
774#384C2314yes—
775#384C2312yes—
776#384C2312yes—
777#383C2314yes—
778#383C2314yes—
779#383C2314yes—
780#382C2314yes—
781#382C2314yes—
782#382C2312yes—
783#382C2312yes—
784#382C2312yes—
785#382C2314yes—
786#382C2312yes—
787#382C2312yes—
788#382C2312yes—
789#382C2312yes—
790#381C2314yes—
791#381C2314yes—
792#380C2312yes—
793#380C2312yes—
794#380C2312yes—
795#380C2312yes—
796#380C2312yes—
797#380C2312yes—
798#380C2312yes—
799#380C2312yes—
800#380C2312yes—
801#380C2312yes—
802#380C2312yes—
803#380C2312yes—
804#380C2312yes—
805#380C2312yes—
806#380C2312yes—
807#380C2312yes—
808#380C2312yes—
809#380C2312yes—
810#380C2312yes—
811#380C2312yes—
812#380C2312yes—
813#380C2312yes—
814#380C2312yes—
815#380C2312yes—
816#380C2312yes—
817#380C2312yes—
818#380C2314yes—
819#380C2314yes—
820#380C2312yes—
821#380C2312yes—
822#380C2314yes—
823#380C2314yes—
824#380C2314yes—
825#380C2312yes—
826#380C2312yes—
827C4×C4⋊C4C2314yes—
828C4×C4⋊C4C2312yes—
829C4×C4⋊C4C2312yes—
830C4×C4⋊C4C2312yes—
831C4×C4⋊C4C2312yes—
832C4×C4⋊C4C2312yes—
833C4×C4⋊C4C2312yes—
834C4×C4⋊C4C2312yes—
835C4×C4⋊C4C2312yes—
836C4×C4⋊C4C2312yes—
837C4×C4⋊C4C2312yes—
838C4×C4⋊C4C2312yes—
839C4×C4⋊C4C2311yescharacteristic
840C4×C4⋊C4C2312yes—
841C4×C4⋊C4C2312yes—
842C4×C4⋊C4C2311yescharacteristic
843C4×C4⋊C4C2312yes—
844C4×C4⋊C4C2314yes—
845C4×C4⋊C4C2314yes—
846C4×C4⋊C4C2311yescharacteristic
847C4×C4⋊C4C2311yescharacteristic
848C4×C4⋊C4C2311yescharacteristic
849C4×C4⋊C4C2311yescharacteristic
850C4×C4⋊C4C2311yescharacteristic
851C4×C4⋊C4C2311yescharacteristic
852C4×C4⋊C4C2311yescharacteristic
853C4×C4⋊C4C2311yescharacteristic
854C4×C4⋊C4C2311yescharacteristic
855C4×C4⋊C4C2311yescharacteristic
856C4×C4⋊C4C2311yescharacteristic
857C4×C4⋊C4C2311yescharacteristic
858C4×C4⋊C4C2311yescharacteristic
859C4×C4⋊C4C2311yescharacteristic
860C4×C22⋊C4C2314yes—
861C4×C22⋊C4C2314yes—
862C4×C22⋊C4C2314yes—
863C4×C22⋊C4C2311yescharacteristic
864C4×C22⋊C4C2311yescharacteristic
865C4×C22⋊C4C2311yescharacteristic
866C4×C22⋊C4C2311yescharacteristic
867C4×C22⋊C4C2311yescharacteristic
868C4×C22⋊C4C2311yescharacteristic
869C4×C22⋊C4C2311yescharacteristic
870C4×C22⋊C4C2311yescharacteristic
871C4×C22⋊C4C2311yescharacteristic
872C4×C22⋊C4C2311yescharacteristic
873C4×C22⋊C4C2311yescharacteristic
874C4×C22⋊C4C2311yescharacteristic
875C4×C22⋊C4C2311yescharacteristic
876C4×C22⋊C4C2311yescharacteristic
877C4×C22⋊C4C2311yescharacteristic
878C4×C22⋊C4C2311yescharacteristic
879C4×C22⋊C4C2311yescharacteristic
880C4×C22⋊C4C2311yescharacteristic
881C4×C22⋊C4C2311yescharacteristic
882C4×C22⋊C4C2311yescharacteristic
883C4×C22⋊C4C2311yescharacteristic
884C4×C22⋊C4C2311yescharacteristic
885C4×C22⋊C4C2311yescharacteristic
886C4×C22⋊C4C2311yescharacteristic
887C4×C22⋊C4C2311yescharacteristic
888C4×C22⋊C4C2311yescharacteristic
889C4×C22⋊C4C2311yescharacteristic
890C4×C22⋊C4C2311yescharacteristic
891#376C2311yescharacteristic
892#376C2311yescharacteristic
893C43C2311yescharacteristic
894C43C2311yescharacteristic
895C2×#41—24no—
896C2×#41—24no—
897C2×#41—24no—
898C2×#41—42no—
899C2×#41—42no—
900C2×#41—42no—
901C22×Q8—44no—
902C22×Q8—44no—
903C22×Q8—44no—
904C22×Q8—44no—
905C22×Q8—44no—
906C22×Q8—44no—
907C22×Q8C2412yes—
908C22×Q8C2412yes—
909C22×Q8C2412yes—
910C22×Q8C2412yes—
911C22×Q8C2411yescharacteristic
912C22×Q8C2411yescharacteristic
913C22×Q8C2414yes—
914C22×Q8C2414yes—
915C22×D4C2411yescharacteristic
916C22×D4C2411yescharacteristic
917C22×D4C2411yescharacteristic
918C22×D4C2411yescharacteristic
919C22×D4C2411yescharacteristic
920C22×D4C2411yescharacteristic
921C22×D4C2411yescharacteristic
922C22×D4C2411yescharacteristic
923C22×D4C2411yescharacteristic
924C22×D4C2411yescharacteristic
925C23×C4C2411yescharacteristic
926C23×C4C2411yescharacteristic
927C23×C4C2411yescharacteristic
928C23×C4C2411yescharacteristic
929C23×C4C2411yescharacteristic
930C23×C4C2411yescharacteristic
931C23×C4C2411yescharacteristic
932C23×C4C2411yescharacteristic
933C23×C4C2411yescharacteristic
934C23×C4C2411yescharacteristic
935C23×C4C2411yescharacteristic
936C23×C4C2411yescharacteristic
937C23×C4C2411yescharacteristic
938C23×C4C2411yescharacteristic
939C23×C4C2411yescharacteristic
940C23×C4C2414yes—
941C23×C4C2414yes—
942C23×C4C2414yes—
943C4⋊Q8—24no—
944C4⋊Q8—24no—
945C4⋊Q8—24no—
946C4⋊Q8—24no—
947C4⋊Q8—28no—
948C4⋊Q8—44no—
949C4⋊Q8—44no—
950C4⋊Q8—44no—
951C4⋊Q8—44no—
952C4⋊Q8—48no—
953C4⋊Q8—44no—
954C4⋊Q8—44no—
955C4⋊Q8—44no—
956#126—48no—
957#126—48no—
958#126—48no—
959#125—28no—
960#125—44no—
961#125—44no—
962#125—44no—
963#125—48no—
964#125—48no—
965#125—48no—
966#123—48no—
967C22⋊Q8—28no—
968C22⋊Q8—48no—
969C22⋊Q8—48no—
970C22⋊Q8—44no—
971C22⋊Q8—44no—
972C22⋊Q8—44no—
973C22⋊Q8—44no—
974C22⋊Q8—44no—
975C22⋊Q8—44no—
976C22⋊Q8—44no—
977C22⋊Q8—44no—
978C22⋊Q8—44no—
979C22⋊Q8—44no—
980C22⋊Q8—44no—
981C22⋊Q8—44no—
982C22⋊Q8—44no—
983C22⋊Q8—44no—
984C22⋊Q8—44no—
985C4×Q8—28no—
986C4×Q8—42no—
987C4×Q8—42no—
988C4×Q8—42no—
989C4×Q8—42no—
990C4×Q8—44no—
991C4×Q8—44no—
992C4×Q8—44no—
993C4×Q8—44no—
994C4×Q8—44no—
995C4×Q8—44no—
996C4×Q8—44no—
997C4×D4—24no—
998C4×D4—24no—
999C4×D4—24no—
1000C4×D4—24no—
1001C4×D4—24no—
1002C4×D4—24no—
1003C4×D4—24no—
1004C4×D4—24no—
1005C4×D4—48no—
1006C4×D4—42no—
1007C4×D4—42no—
1008C4×D4—42no—
1009C4×D4—42no—
1010C4×D4—42no—
1011C4×D4—42no—
1012C4×D4—42no—
1013C4×D4—42no—
1014C4×D4—42no—
1015C4×D4—42no—
1016C4×D4—42no—
1017C4×D4—42no—
1018C4×D4—42no—
1019C4×D4—42no—
1020C4×D4—42no—
1021C4×D4—42no—
1022#117—28no—
1023#117—24no—
1024#117—42no—
1025#117—42no—
1026#117—42no—
1027#117—42no—
1028#117—42no—
1029#117—42no—
1030#117—42no—
1031#117—48no—
1032#117—44no—
1033#117—44no—
1034#117—44no—
1035#117—44no—
1036C2×C4⋊C4—28no—
1037C2×C4⋊C4—44no—
1038C2×C4⋊C4—44no—
1039C2×C4⋊C4—44no—
1040C2×C4⋊C4—44no—
1041C2×C4⋊C4—44no—
1042C2×C4⋊C4—44no—
1043C2×C4⋊C4C2412yes—
1044C2×C4⋊C4C2412yes—
1045C2×C4⋊C4C2412yes—
1046C2×C4⋊C4C2412yes—
1047C2×C4⋊C4C2412yes—
1048C2×C4⋊C4C2412yes—
1049C2×C4⋊C4C2412yes—
1050C2×C4⋊C4C2412yes—
1051C2×C4⋊C4C2412yes—
1052C2×C4⋊C4C2412yes—
1053C2×C4⋊C4C2412yes—
1054C2×C4⋊C4C2412yes—
1055C2×C4⋊C4C2414yes—
1056C2×C4⋊C4C2412yes—
1057C2×C4⋊C4C2412yes—
1058C2×C4⋊C4C2412yes—
1059C2×C4⋊C4C2411yescharacteristic
1060C2×C4⋊C4C2411yescharacteristic
1061C2×C4⋊C4C2414yes—
1062C2×C4⋊C4C2412yes—
1063C2×C4⋊C4C2412yes—
1064C2×C4⋊C4C2411yescharacteristic
1065C2×C4⋊C4C2414yes—
1066C2×C4⋊C4C2411yescharacteristic
1067C2×C4⋊C4C2411yescharacteristic
1068C2×C4⋊C4C2411yescharacteristic
1069C2×C4⋊C4C2411yescharacteristic
1070C2×C4⋊C4C2411yescharacteristic
1071C2×C4⋊C4C2411yescharacteristic
1072C2×C4⋊C4C2411yescharacteristic
1073C2×C4⋊C4C2412yes—
1074C2×C4⋊C4C2414yes—
1075C2×C4⋊C4C2412yes—
1076C2×C4⋊C4C2414yes—
1077C2×C4⋊C4C2412yes—
1078C2×C4⋊C4C2414yes—
1079C2×C4⋊C4C2414yes—
1080C2×C4⋊C4C2414yes—
1081C2×C4⋊C4C2414yes—
1082C2×C4⋊C4C2414yes—
1083C2×C4⋊C4C2414yes—
1084C2×C4⋊C4C2414yes—
1085C2×C4⋊C4C2414yes—
1086C2×C4⋊C4C2411yescharacteristic
1087C2×C4⋊C4C2411yescharacteristic
1088C2×C4⋊C4C2411yescharacteristic
1089C2×C4⋊C4C2411yescharacteristic
1090C2×C4⋊C4C2411yescharacteristic
1091C2×C4⋊C4C2411yescharacteristic
1092C2×C4⋊C4C2411yescharacteristic
1093C2×C4⋊C4C2411yescharacteristic
1094C2×C4⋊C4C2411yescharacteristic
1095C2×C4⋊C4C2411yescharacteristic
1096C2×C4⋊C4C2411yescharacteristic
1097C2×C4⋊C4C2411yescharacteristic
1098C2×C4⋊C4C2414yes—
1099C2×C4⋊C4C2411yescharacteristic
1100C2×C4⋊C4C2411yescharacteristic
1101C2×C4⋊C4C2411yescharacteristic
1102C2×C4⋊C4C2411yescharacteristic
1103C2×C4⋊C4C2411yescharacteristic
1104C2×C4⋊C4C2411yescharacteristic
1105C2×C4⋊C4C2414yes—
1106C2×C4⋊C4C2414yes—
1107C2×C4⋊C4C2414yes—
1108C2×C4⋊C4C2414yes—
1109C2×C4⋊C4C2414yes—
1110C2×C4⋊C4C2414yes—
1111C2×C4⋊C4C2414yes—
1112C2×C4⋊C4C2414yes—
1113C2×C4⋊C4C2414yes—
1114C2×C4⋊C4C2414yes—
1115C2×C4⋊C4C2414yes—
1116C2×C4⋊C4C2414yes—
1117C2×C4⋊C4C2414yes—
1118C2×C4⋊C4C2414yes—
1119C2×C4⋊C4C2414yes—
1120C2×C4⋊C4C2414yes—
1121C2×C4⋊C4C2414yes—
1122C2×C4⋊C4C2414yes—
1123C2×C4⋊C4C2414yes—
1124C2×C4⋊C4C2414yes—
1125C2×C4⋊C4C2414yes—
1126C2×C22⋊C4C2411yescharacteristic
1127C2×C22⋊C4C2411yescharacteristic
1128C2×C22⋊C4C2411yescharacteristic
1129C2×C22⋊C4C2414yes—
1130C2×C22⋊C4C2411yescharacteristic
1131C2×C22⋊C4C2411yescharacteristic
1132C2×C22⋊C4C2411yescharacteristic
1133C2×C22⋊C4C2411yescharacteristic
1134C2×C22⋊C4C2411yescharacteristic
1135C2×C22⋊C4C2411yescharacteristic
1136C2×C22⋊C4C2411yescharacteristic
1137C2×C22⋊C4C2411yescharacteristic
1138C2×C22⋊C4C2411yescharacteristic
1139C2×C22⋊C4C2411yescharacteristic
1140C2×C22⋊C4C2411yescharacteristic
1141C2×C22⋊C4C2411yescharacteristic
1142C2×C22⋊C4C2411yescharacteristic
1143C2×C22⋊C4C2411yescharacteristic
1144C2×C22⋊C4C2411yescharacteristic
1145C2×C22⋊C4C2414yes—
1146C2×C22⋊C4C2411yescharacteristic
1147C2×C22⋊C4C2411yescharacteristic
1148C2×C22⋊C4C2411yescharacteristic
1149C2×C22⋊C4C2411yescharacteristic
1150C2×C22⋊C4C2411yescharacteristic
1151C2×C22⋊C4C2411yescharacteristic
1152C2×C22⋊C4C2411yescharacteristic
1153C2×C22⋊C4C2411yescharacteristic
1154C2×C22⋊C4C2411yescharacteristic
1155C2×C22⋊C4C2411yescharacteristic
1156C2×C22⋊C4C2411yescharacteristic
1157C2×C22⋊C4C2411yescharacteristic
1158C2×C22⋊C4C2414yes—
1159C2×C22⋊C4C2414yes—
1160C2×C22⋊C4C2414yes—
1161C2×C22⋊C4C2414yes—
1162C2×C22⋊C4C2411yescharacteristic
1163C2×C22⋊C4C2411yescharacteristic
1164C2×C22⋊C4C2414yes—
1165C2×C22⋊C4C2414yes—
1166C2×C22⋊C4C2414yes—
1167C2×C22⋊C4C2411yescharacteristic
1168C2×C22⋊C4C2411yescharacteristic
1169C2×C22⋊C4C2411yescharacteristic
1170C2×C22⋊C4C2411yescharacteristic
1171C2×C22⋊C4C2411yescharacteristic
1172C2×C22⋊C4C2411yescharacteristic
1173C2×C22⋊C4C2411yescharacteristic
1174C2×C22⋊C4C2411yescharacteristic
1175C2×C22⋊C4C2414yes—
1176C2×C22⋊C4C2414yes—
1177C2×C22⋊C4C2414yes—
1178C2×C22⋊C4C2414yes—
1179C2×C22⋊C4C2414yes—
1180C2×C22⋊C4C2414yes—
1181C2×C22⋊C4C2414yes—
1182C2×C22⋊C4C2414yes—
1183C2×C42—24no—
1184C2×C42—24no—
1185C2×C42—24no—
1186C2×C42—24no—
1187C2×C42—24no—
1188C2×C42C2411yescharacteristic
1189C2×C42C2411yescharacteristic
1190C2×C42C2411yescharacteristic
1191C2×C42C2411yescharacteristic
1192C2×C42C2411yescharacteristic
1193C2×C42C2411yescharacteristic
1194C2×C42C2411yescharacteristic
1195C2×C42C2414yes—
1196C2×C42C2411yescharacteristic
1197C2×C42C2411yescharacteristic
1198C2×C42C2414yes—
1199C2×C42C2411yescharacteristic
1200C2×C42C2411yescharacteristic
1201C2×C42C2411yescharacteristic
1202C2×C42C2411yescharacteristic
1203C2×C42C2411yescharacteristic
1204C2×C42C2411yescharacteristic
1205C2×C42C2411yescharacteristic
1206C2×C42C2411yescharacteristic
1207C2×C42C2411yescharacteristic
1208C2×C42C2411yescharacteristic
1209C2×C42C2411yescharacteristic
1210C2×C42C2411yescharacteristic
1211C2×C42C2411yescharacteristic
1212C2×C42C2411yescharacteristic
1213C2×C42C2411yescharacteristic
1214C2×C42C2411yescharacteristic
1215C2×C42C2411yescharacteristic
1216C2×C42C2414yes—
1217C2×C42C2414yes—
1218C2×C42C2414yes—
1219C2×C42C2414yes—
1220C2×C42C2414yes—
1221C2×C42C2414yes—
1222C2×C42C2414yes—
1223C2×C42C2411yescharacteristic
1224C2×C42C2411yescharacteristic
1225#95C2411yescharacteristic
1226#95C2411yescharacteristic
1227#95C2411yescharacteristic
1228#95C2411yescharacteristic
1229#95C2411yescharacteristic
1230#95C2411yescharacteristic
1231#95C2411yescharacteristic
1232#95C2411yescharacteristic
1233#95C2411yescharacteristic
1234#95C2411yescharacteristic
1235#95C2411yescharacteristic
1236#95C2411yescharacteristic
1237#95C2411yescharacteristic
1238#95C2411yescharacteristic
1239#95C2411yescharacteristic
1240#95C2411yescharacteristic
1241#95C2411yescharacteristic
1242#95C2411yescharacteristic
1243#95C2411yescharacteristic
1244#95C2411yescharacteristic
1245#95C2411yescharacteristic
1246#95C2411yescharacteristic
1247#95C2411yescharacteristic
1248#95C2411yescharacteristic
1249#95C2411yescharacteristic
1250#95C2411yescharacteristic
1251#95C2411yescharacteristic
1252#95C2411yescharacteristic
1253#95C2411yescharacteristic
1254#95C2411yescharacteristic
1255#95C2411yescharacteristic
1256#95C2411yescharacteristic
1257#95C2414yes—
1258#95C2414yes—
1259#95C2414yes—
1260#95C2414yes—
1261#95C2414yes—
1262#95C2414yes—
1263#95C2414yes—
1264#95C2414yes—
1265#95C2414yes—
1266#95C2414yes—
1267#95C2414yes—
1268#95C2414yes—
1269#95C2414yes—
1270#95C2414yes—
1271#95C2414yes—
1272#95C2414yes—
1273#95C2414yes—
1274#95C2414yes—
1275#95C2414yes—
1276#95C2414yes—
1277#95C2414yes—
1278#95C2414yes—
1279#95C2414yes—
1280#95C2414yes—
1281#95C2414yes—
1282#95C2414yes—
1283#95C2414yes—
1284#95C2414yes—
1285#95C2414yes—
1286#95C2414yes—
1287#95C2414yes—
1288#95C2414yes—
1289#95C2414yes—
1290#95C2414yes—
1291#95C2414yes—
1292#95C2414yes—
1293#95C2414yes—
1294#95C2414yes—
1295#95C2414yes—
1296#95C2414yes—
1297#95C2414yes—
1298#95C2414yes—
1299#95C2414yes—
1300#95C2414yes—
1301#95C2414yes—
1302#95C2414yes—
1303C24C2511yescharacteristic
1304C24C2511yescharacteristic
1305C24C2511yescharacteristic
1306C24C2511yescharacteristic
1307C24C2511yescharacteristic
1308#41—416no—
1309#41—416no—
1310C2×Q8—24no—
1311C2×Q8—24no—
1312C2×Q8—24no—
1313C2×Q8—24no—
1314C2×Q8—24no—
1315C2×Q8—24no—
1316C2×Q8—24no—
1317C2×Q8—24no—
1318C2×Q8—22no—
1319C2×Q8—22no—
1320C2×Q8—22no—
1321C2×Q8—24no—
1322C2×Q8—24no—
1323C2×Q8—24no—
1324C2×Q8—24no—
1325C2×Q8—41no—
1326C2×Q8—41no—
1327C2×Q8—41no—
1328C2×Q8—44no—
1329C2×Q8—44no—
1330C2×Q8—44no—
1331C2×Q8—44no—
1332C2×Q8—44no—
1333C2×Q8—44no—
1334C2×Q8—816no—
1335C2×Q8—816no—
1336C2×D4—22no—
1337C2×D4—22no—
1338C2×D4—22no—
1339C2×D4—22no—
1340C2×D4—22no—
1341C2×D4—22no—
1342C2×D4—22no—
1343C2×D4—22no—
1344C2×D4—22no—
1345C2×D4—22no—
1346C2×D4—22no—
1347C2×D4—22no—
1348C2×D4—22no—
1349C2×D4—22no—
1350C2×D4—22no—
1351C2×D4—22no—
1352C2×D4—22no—
1353C2×D4—41no—
1354C2×D4—41no—
1355C2×D4—41no—
1356C2×D4—41no—
1357C2×D4—41no—
1358C2×D4—41no—
1359C2×D4—41no—
1360C2×D4—41no—
1361C2×D4—41no—
1362C2×D4—41no—
1363C2×D4—41no—
1364C2×D4—41no—
1365C2×D4—41no—
1366C22×C4—22no—
1367C22×C4—22no—
1368C22×C4—22no—
1369C22×C4—22no—
1370C22×C4—22no—
1371C22×C4—22no—
1372C22×C4—28no—
1373C22×C4—22no—
1374C22×C4—22no—
1375C22×C4—22no—
1376C22×C4—22no—
1377C22×C4—22no—
1378C22×C4—22no—
1379C22×C4—22no—
1380C22×C4—22no—
1381C22×C4—22no—
1382C22×C4—22no—
1383C22×C4—22no—
1384C22×C4—22no—
1385C22×C4—22no—
1386C22×C4—22no—
1387C22×C4—22no—
1388C22×C4—22no—
1389C22×C4—22no—
1390C22×C4—22no—
1391C22×C4—22no—
1392C22×C4—22no—
1393C22×C4—22no—
1394C22×C4—22no—
1395C22×C4—22no—
1396C22×C4—22no—
1397C22×C4—22no—
1398C22×C4—22no—
1399C22×C4—22no—
1400C22×C4—22no—
1401C22×C4—22no—
1402C22×C4—22no—
1403C22×C4—22no—
1404C22×C4—22no—
1405C22×C4—22no—
1406C22×C4—22no—
1407C22×C4—22no—
1408C22×C4—22no—
1409C22×C4—44no—
1410C22×C4—44no—
1411C22×C4—44no—
1412C22×C4—44no—
1413C22×C4—44no—
1414C22×C4—44no—
1415C22×C4—44no—
1416C22×C4—44no—
1417C22×C42−1+414yes—
1418C22×C42−1+414yes—
1419C22×C42−1+414yes—
1420C22×C4C2511yescharacteristic
1421C22×C4C2511yescharacteristic
1422C22×C4C2511yescharacteristic
1423C22×C4C2511yescharacteristic
1424C22×C4C2511yescharacteristic
1425C22×C4C2511yescharacteristic
1426C22×C4C2511yescharacteristic
1427C22×C4C2511yescharacteristic
1428C22×C4C2511yescharacteristic
1429C22×C4C2514yes—
1430C22×C4C2511yescharacteristic
1431C22×C4C2514yes—
1432C22×C4C2514yes—
1433C22×C4C2511yescharacteristic
1434C22×C4C2511yescharacteristic
1435C22×C4C2514yes—
1436C22×C4C2514yes—
1437C22×C4C2511yescharacteristic
1438C22×C4C2511yescharacteristic
1439C22×C4C2514yes—
1440C22×C4C2511yescharacteristic
1441C22×C4C2514yes—
1442C22×C4C2514yes—
1443C22×C4C2511yescharacteristic
1444C22×C4C2511yescharacteristic
1445C22×C4C2511yescharacteristic
1446C22×C4C2511yescharacteristic
1447C22×C4C2511yescharacteristic
1448C22×C4C2511yescharacteristic
1449C22×C4C2511yescharacteristic
1450C22×C4C2511yescharacteristic
1451C22×C4C2511yescharacteristic
1452C22×C4C2511yescharacteristic
1453C22×C4C2511yescharacteristic
1454C4⋊C4—24no—
1455C4⋊C4—24no—
1456C4⋊C4—24no—
1457C4⋊C4—24no—
1458C4⋊C4—24no—
1459C4⋊C4—24no—
1460C4⋊C4—24no—
1461C4⋊C4—24no—
1462C4⋊C4—22no—
1463C4⋊C4—22no—
1464C4⋊C4—24no—
1465C4⋊C4—24no—
1466C4⋊C4—28no—
1467C4⋊C4—22no—
1468C4⋊C4—22no—
1469C4⋊C4—28no—
1470C4⋊C4—28no—
1471C4⋊C4—24no—
1472C4⋊C4—28no—
1473C4⋊C4—28no—
1474C4⋊C4—28no—
1475C4⋊C4—24no—
1476C4⋊C4—24no—
1477C4⋊C4—24no—
1478C4⋊C4—24no—
1479C4⋊C4—22no—
1480C4⋊C4—22no—
1481C4⋊C4—22no—
1482C4⋊C4—22no—
1483C4⋊C4—22no—
1484C4⋊C4—22no—
1485C4⋊C4—24no—
1486C4⋊C4—28no—
1487C4⋊C4—24no—
1488C4⋊C4—24no—
1489C4⋊C4—24no—
1490C4⋊C4—24no—
1491C4⋊C4—44no—
1492C4⋊C4—44no—
1493C4⋊C4—44no—
1494C4⋊C4—44no—
1495C4⋊C4—44no—
1496C4⋊C4—44no—
1497C4⋊C4—41no—
1498C4⋊C4—41no—
1499C4⋊C4—41no—
1500C4⋊C4—41no—
1501C4⋊C4—41no—
1502C4⋊C4—41no—
1503C4⋊C4—41no—
1504C4⋊C4—41no—
1505C4⋊C4—41no—
1506C4⋊C4—41no—
1507C4⋊C4—41no—
1508C4⋊C4—41no—
1509C4⋊C4—41no—
1510C4⋊C4—41no—
1511C4⋊C4—44no—
1512C4⋊C4—41no—
1513C4⋊C4—41no—
1514C4⋊C4—41no—
1515C4⋊C4—41no—
1516C4⋊C4—44no—
1517C4⋊C4—44no—
1518C4⋊C4—44no—
1519C4⋊C4—44no—
1520C4⋊C4—44no—
1521C4⋊C4—44no—
1522C4⋊C4—44no—
1523C4⋊C4—44no—
1524C4⋊C4—44no—
1525C4⋊C4—44no—
1526C4⋊C4—44no—
1527C4⋊C4—44no—
1528C4⋊C4—44no—
1529C4⋊C4—44no—
1530C4⋊C4—44no—
1531C4⋊C4—44no—
1532C4⋊C4—44no—
1533C4⋊C4—44no—
1534C4⋊C4—44no—
1535C4⋊C4—44no—
1536C4⋊C4—44no—
1537C22⋊C4—28no—
1538C22⋊C4—22no—
1539C22⋊C4—22no—
1540C22⋊C4—22no—
1541C22⋊C4—22no—
1542C22⋊C4—22no—
1543C22⋊C4—22no—
1544C22⋊C4—28no—
1545C22⋊C4—22no—
1546C22⋊C4—22no—
1547C22⋊C4—22no—
1548C22⋊C4—22no—
1549C22⋊C4—22no—
1550C22⋊C4—22no—
1551C22⋊C4—22no—
1552C22⋊C4—22no—
1553C22⋊C4—22no—
1554C22⋊C4—22no—
1555C22⋊C4—22no—
1556C22⋊C4—22no—
1557C22⋊C4—41no—
1558C22⋊C4—41no—
1559C22⋊C4—44no—
1560C22⋊C4—41no—
1561C22⋊C4—41no—
1562C22⋊C4—41no—
1563C22⋊C4—41no—
1564C22⋊C4—41no—
1565C22⋊C4—41no—
1566C22⋊C4—41no—
1567C22⋊C4—41no—
1568C22⋊C4—41no—
1569C22⋊C4—41no—
1570C22⋊C4—41no—
1571C22⋊C4—41no—
1572C22⋊C4—44no—
1573C22⋊C4—44no—
1574C22⋊C4—44no—
1575C22⋊C4—44no—
1576C22⋊C4—41no—
1577C22⋊C4—41no—
1578C22⋊C4—41no—
1579C22⋊C4—41no—
1580C22⋊C4—41no—
1581C22⋊C4—41no—
1582C22⋊C4—41no—
1583C22⋊C4—41no—
1584C22⋊C4—44no—
1585C22⋊C4—44no—
1586C22⋊C4—44no—
1587C22⋊C4—44no—
1588C22⋊C4—44no—
1589C22⋊C4—44no—
1590C22⋊C4—44no—
1591C22⋊C4—44no—
1592C22⋊C4—44no—
1593C22⋊C4—44no—
1594C42—22no—
1595C42—22no—
1596C42—22no—
1597C42—22no—
1598C42—22no—
1599C42—22no—
1600C42—22no—
1601C42—22no—
1602C42—22no—
1603C42—22no—
1604C42—22no—
1605C42—22no—
1606C42—22no—
1607C42—22no—
1608C42—22no—
1609C42—22no—
1610C42—28no—
1611C42—28no—
1612C42—22no—
1613C42—22no—
1614C42—22no—
1615C42—22no—
1616C42—22no—
1617C42—22no—
1618C42—22no—
1619C42—22no—
1620C42—22no—
1621C42—22no—
1622C42—44no—
1623C42—44no—
1624C42—44no—
1625C42—44no—
1626C42—44no—
1627C42—44no—
1628C42—44no—
1629C42H(5,𝔽2)14yes—
1630C42H(5,𝔽2)14yes—
1631C23—21no—
1632C23—21no—
1633C23—21no—
1634C23—21no—
1635C23—21no—
1636C23—21no—
1637C23—21no—
1638C23—21no—
1639C23—21no—
1640C23—21no—
1641C23—21no—
1642C23—21no—
1643C23—21no—
1644C23—21no—
1645C23—21no—
1646C23—21no—
1647C23—21no—
1648C23—21no—
1649C23—21no—
1650C23—21no—
1651C23—21no—
1652C23—21no—
1653C23—21no—
1654C23—21no—
1655C23—21no—
1656C23—21no—
1657C23—21no—
1658C23—21no—
1659C23—21no—
1660C23—21no—
1661C23—21no—
1662C23—21no—
1663C23C2×2−1+412yes—
1664C23C2×2−1+412yes—
1665C23C2×2−1+412yes—
1666C23C2611yescharacteristic
1667Q8—44no—
1668Q8—44no—
1669Q8—48no—
1670Q8—48no—
1671Q8—48no—
1672Q8—48no—
1673Q8—88no—
1674Q8—88no—
1675D4—28no—
1676D4—44no—
1677D4—44no—
1678D4—44no—
1679D4—44no—
1680D4—44no—
1681D4—44no—
1682D4—44no—
1683D4—44no—
1684D4—44no—
1685C2×C4—21no—
1686C2×C4—21no—
1687C2×C4—21no—
1688C2×C4—21no—
1689C2×C4—21no—
1690C2×C4—21no—
1691C2×C4—21no—
1692C2×C4—21no—
1693C2×C4—21no—
1694C2×C4—21no—
1695C2×C4—28no—
1696C2×C4—28no—
1697C2×C4—28no—
1698C2×C4—21no—
1699C2×C4—21no—
1700C2×C4—21no—
1701C2×C4—21no—
1702C2×C4—21no—
1703C2×C4—21no—
1704C2×C4—21no—
1705C2×C4—21no—
1706C2×C4—21no—
1707C2×C4—21no—
1708C2×C4—21no—
1709C2×C4—21no—
1710C2×C4—21no—
1711C2×C4—21no—
1712C2×C4—24no—
1713C2×C4—24no—
1714C2×C4—21no—
1715C2×C4—24no—
1716C2×C4—24no—
1717C2×C4—24no—
1718C2×C4—24no—
1719C2×C4—24no—
1720C2×C4—24no—
1721C2×C4—24no—
1722C2×C4—21no—
1723C2×C4—21no—
1724C2×C4—21no—
1725C2×C4—21no—
1726C2×C4—24no—
1727C2×C4—21no—
1728C2×C4—21no—
1729C2×C4—21no—
1730C2×C4—21no—
1731C2×C4—21no—
1732C2×C4—21no—
1733C2×C4—24no—
1734C2×C4—24no—
1735C2×C4—21no—
1736C2×C4—21no—
1737C2×C4—21no—
1738C2×C4—24no—
1739C2×C4—21no—
1740C2×C4—21no—
1741C2×C4—21no—
1742C2×C4—21no—
1743C2×C4—21no—
1744C2×C4—21no—
1745C2×C4—24no—
1746C2×C4—24no—
1747C2×C4—24no—
1748C2×C4—21no—
1749C2×C4—21no—
1750C2×C4—21no—
1751C2×C4—21no—
1752C2×C4—21no—
1753C2×C4—21no—
1754C2×C4—21no—
1755C2×C4—21no—
1756C2×C4—21no—
1757C2×C4—21no—
1758C2×C4—21no—
1759C2×C4—24no—
1760C2×C4—24no—
1761C2×C4—24no—
1762C2×C4—24no—
1763C2×C4—21no—
1764C2×C4—24no—
1765C2×C4—21no—
1766C2×C4—21no—
1767C2×C4—21no—
1768C2×C4—21no—
1769C2×C4—24no—
1770C2×C4—24no—
1771C2×C4—21no—
1772C2×C4—21no—
1773C2×C4—24no—
1774C2×C4—21no—
1775C2×C4—21no—
1776C2×C4—44no—
1777C2×C4—44no—
1778C2×C4—44no—
1779C2×C4—44no—
1780C2×C4—44no—
1781C2×C4—44no—
1782C2×C4—44no—
1783C2×C4—44no—
1784C2×C4—44no—
1785C2×C4—44no—
1786C2×C4—44no—
1787C2×C4—44no—
1788C2×C4—88no—
1789C2×C4—88no—
1790C2×C4—88no—
1791C2×C4C2×H(5,𝔽2)12yes—
1792C2×C4C2×H(5,𝔽2)12yes—
1793C2×C4C2×H(5,𝔽2)12yes—
1794C2×C4C2×H(5,𝔽2)12yes—
1795C2×C4C2×H(5,𝔽2)12yes—
1796C2×C4C2×H(5,𝔽2)12yes—
1797C2×C4C2×2−1+412yes—
1798C2×C4C2×2−1+412yes—
1799C2×C4C2×2−1+412yes—
1800C2×C4C2×2−1+412yes—
1801C2×C4C2×2−1+412yes—
1802C2×C4C2×2−1+412yes—
1803C2×C4#58512yes—
1804C2×C4#58512yes—
1805C22—22no—
1806C22—22no—
1807C22—22no—
1808C22—22no—
1809C22—22no—
1810C22—22no—
1811C22—22no—
1812C22—22no—
1813C22—22no—
1814C22—41no—
1815C22—41no—
1816C22—41no—
1817C22—41no—
1818C22—41no—
1819C22—41no—
1820C22—41no—
1821C22—41no—
1822C22—41no—
1823C22—41no—
1824C22—41no—
1825C22—41no—
1826C22—41no—
1827C22—41no—
1828C22—41no—
1829C22—41no—
1830C22—41no—
1831C22—41no—
1832C22—41no—
1833C22—41no—
1834C22—41no—
1835C22—41no—
1836C22—41no—
1837C22—41no—
1838C22—41no—
1839C22—41no—
1840C22C22×H(5,𝔽2)11yescharacteristic
1841C22C22×H(5,𝔽2)11yescharacteristic
1842C22C22×2−1+411yescharacteristic
1843C22C22×2−1+411yescharacteristic
1844C22C22×2−1+411yescharacteristic
1845C22C2×#58511yescharacteristic
1846C22C2×#58511yescharacteristic
1847C4—22no—
1848C4—22no—
1849C4—22no—
1850C4—22no—
1851C4—22no—
1852C4—41no—
1853C4—41no—
1854C4—41no—
1855C4—41no—
1856C4—44no—
1857C4—41no—
1858C4—41no—
1859C4—41no—
1860C4—41no—
1861C4—41no—
1862C4—41no—
1863C4—41no—
1864C4—41no—
1865C4—44no—
1866C4—44no—
1867C4—44no—
1868C4—41no—
1869C4—44no—
1870C4—41no—
1871C4—44no—
1872C4—44no—
1873C4—41no—
1874C4—41no—
1875C4—41no—
1876C4—44no—
1877C4—41no—
1878C4#353814yes—
1879C4#354114yes—
1880C4#354614yes—
1881C2—42no—
1882C2—42no—
1883C2—42no—
1884C2—81no—
1885C2—81no—
1886C2C2×#354111yescharacteristic
1887C2C2×#353811yescharacteristic
1888C2C2×#354611yescharacteristic
1889C2#6283311yescharacteristic
1890C2#6283511yescharacteristic
1891C2#6283711yescharacteristic
1892C2#6283811yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#34547C2
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. #53058C2semidirect
3. #53012C2semidirect
4. #53011C2semidirect
5. #52982C2semidirect
6. #52978C2semidirect
7. #45413C2semidirect
8. #45372C2semidirect
9. #45250C2semidirect
10. #45249C2semidirect
11. #45217C2semidirect
12. #45126C2semidirect
13. #42991C2semidirect
14. #42934C2semidirect
15. #42932C2semidirect
16. #42859C2semidirect
17. #42851C2semidirect
18. #42844C2semidirect
19. #42808C2semidirect
20. #42701C2semidirect
21. #42640C2semidirect
22. #42507C2semidirect
23. #42491C2semidirect
24. #42449C2semidirect
25. #36210C2semidirect
26. #36210C2semidirect
27. #36189C2semidirect
28. #36181C2semidirect
29. #36134C2semidirect
30. #36129C2semidirect
31. #36129C2semidirect
32. D4×C4⋊Q8C2semidirect
33. #35319C2semidirect
34. #35297C2semidirect
35. #35291C2semidirect
36. #35280C2semidirect
37. #35279C2semidirect
38. #35279C2semidirect

Maximal subgroups

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

subgroupindex
#531362
#530582
#530122
#530112
#529822
#529782
#454132
#453722
#452502
#452492
#452172
#451262
#429912
#429342
#429322
#428592
#428512
#428442
#428082
#427012
#426402
#425072
#424912
#424492
#362102
#361892
#361812
#361342
#361292
D4×C4⋊Q82
#353192
#352972
#352912
#352802
#352792
#345472