Finite Group Databasebeta

← #8108054

Subgroups — #8108054

Order 512.

4609 conjugacy classes of subgroups.

The subgroup lattice has 1917 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#53153C212yesmaximal, complemented
2#53078C212yesmaximal, complemented
3#53065C212yesmaximal, complemented
4#53064C212yesmaximal, complemented
5#53064C212yesmaximal, complemented
6#53064C212yesmaximal, complemented
7#45402C212yesmaximal, complemented
8#45401C212yesmaximal, complemented
9#45301C212yesmaximal, complemented
10#45234C212yesmaximal, complemented
11#45205C212yesmaximal, complemented
12#45204C212yesmaximal, complemented
13#42906C212yesmaximal, complemented
14#42906C212yesmaximal, complemented
15#42898C212yesmaximal, complemented
16#42778C212yesmaximal, complemented
17#42778C212yesmaximal, complemented
18#42761C212yesmaximal, complemented
19#42761C212yesmaximal, complemented
20#42760C212yesmaximal, complemented
21#42760C212yesmaximal, complemented
22#42745C212yesmaximal, complemented
23#42725C212yesmaximal, complemented
24#42724C212yesmaximal, complemented
25#36211C211yesmaximal, characteristic, complemented
26#36210C211yesmaximal, characteristic, complemented
27#36210C211yesmaximal, characteristic, complemented
28#36209C211yesmaximal, characteristic, complemented
29#36151C211yesmaximal, characteristic, complemented
30#36150C211yesmaximal, characteristic, complemented
31#36150C211yesmaximal, characteristic, complemented
32#36149C211yesmaximal, characteristic, complemented
33#35297C211yesmaximal, characteristic, complemented
34#35297C211yesmaximal, characteristic, complemented
35#35292C211yesmaximal, characteristic, complemented
36#35292C211yesmaximal, characteristic, complemented
37#35291C211yesmaximal, characteristic, complemented
38#35288C211yesmaximal, characteristic, complemented
39#34547C211yesmaximal, characteristic, complemented
40C2×#533C2211yescharacteristic
41C2×#533C2211yescharacteristic
42C2×#532C2211yescharacteristic
43C2×#532C2211yescharacteristic
44C2×C4×#41C2211yescharacteristic
45C2×C4×#41C2211yescharacteristic
46#2862C2211yescharacteristic
47#2859C2211yescharacteristic
48#2859C2211yescharacteristic
49#2858C2211yescharacteristic
50#2857C2211yescharacteristic
51#2857C2211yescharacteristic
52#2857C2211yescharacteristic
53#2857C2211yescharacteristic
54#2857C2211yescharacteristic
55#2857C2211yescharacteristic
56#2857C2211yescharacteristic
57#2857C2211yescharacteristic
58#2857C2211yescharacteristic
59#2856C2211yescharacteristic
60#2856C2211yescharacteristic
61#2856C2211yescharacteristic
62#2838C2214yes—
63#2838C2214yes—
64#2838C2214yes—
65#2835C2214yes—
66#2828C2214yes—
67#2828C2214yes—
68#2828C2214yes—
69#2828C2214yes—
70#2828C2214yes—
71#2828C2214yes—
72#2825C2214yes—
73#2825C2214yes—
74#2803C2214yes—
75#2803C2214yes—
76#2803C2214yes—
77#2803C2214yes—
78#2801C2214yes—
79#2796C2214yes—
80#2796C2214yes—
81#2796C2214yes—
82#2785C2214yes—
83#2773C2214yes—
84#2773C2214yes—
85#2770C2214yes—
86#2770C2214yes—
87#2765C2214yes—
88#2765C2214yes—
89#2756C2214yes—
90#2756C2214yes—
91#2756C2214yes—
92#2756C2214yes—
93#2753C2214yes—
94#2753C2214yes—
95#2753C2214yes—
96#2753C2214yes—
97#2752C2214yes—
98#2752C2214yes—
99#2752C2214yes—
100#2752C2214yes—
101#2738C2214yes—
102#2738C2214yes—
103#2737C2214yes—
104#2737C2214yes—
105#2737C2214yes—
106#2651C2214yes—
107#2651C2214yes—
108#2651C2214yes—
109#2649C2214yes—
110#2649C2214yes—
111#2649C2214yes—
112#2645C2212yes—
113#2644C2214yes—
114#2644C2212yes—
115#2643C2214yes—
116#2625C2212yes—
117#2625C2212yes—
118#2625C2212yes—
119#2624C2212yes—
120#2624C2212yes—
121#2624C2212yes—
122#2616C2212yes—
123#2616C2212yes—
124#2615C2212yes—
125#2615C2212yes—
126#2595C2214yes—
127#2595C2214yes—
128#2592C2212yes—
129#2592C2212yes—
130#2584C2212yes—
131#2584C2212yes—
132#2581C2212yes—
133#2581C2212yes—
134#2580C2212yes—
135#2580C2212yes—
136#2575C2214yes—
137#2562C2212yes—
138#2562C2212yes—
139#2562C2212yes—
140#2562C2212yes—
141#2540C2212yes—
142#2540C2212yes—
143#2540C2212yes—
144#2540C2212yes—
145#2536C2212yes—
146#2536C2212yes—
147#2536C2212yes—
148#2536C2212yes—
149#2535C2212yes—
150#2535C2212yes—
151#2535C2212yes—
152#2535C2212yes—
153#2529C2214yes—
154#2526C2214yes—
155#2526C2214yes—
156#2514C2212yes—
157#2514C2212yes—
158#2514C2212yes—
159#2513C2214yes—
160#2513C2214yes—
161#2513C2212yes—
162#2513C2212yes—
163#2513C2212yes—
164#2510C2214yes—
165#2510C2214yes—
166#2509C2212yes—
167#2509C2212yes—
168#2509C2212yes—
169#2508C2212yes—
170#2508C2212yes—
171#2508C2212yes—
172#2495C2212yes—
173#2495C2212yes—
174#2495C2212yes—
175#2495C2212yes—
176#2495C2214yes—
177#2495C2212yes—
178#2494C2212yes—
179#2494C2212yes—
180#2494C2212yes—
181#2494C2212yes—
182#2494C2212yes—
183#2493C2214yes—
184#2490C2212yes—
185#2490C2212yes—
186#2490C2212yes—
187#2490C2212yes—
188#2490C2212yes—
189#2489C2212yes—
190#2489C2212yes—
191#2489C2212yes—
192#2489C2212yes—
193#2489C2212yes—
194#2485C2212yes—
195#2485C2212yes—
196#2485C2212yes—
197#2485C2212yes—
198#2485C2212yes—
199#2485C2212yes—
200#2485C2212yes—
201#2485C2212yes—
202#2454C2212yes—
203#2454C2212yes—
204#2454C2212yes—
205#2453C2212yes—
206#2453C2212yes—
207#2453C2212yes—
208#2448C2212yes—
209#2448C2212yes—
210#2448C2212yes—
211#2447C2212yes—
212#2447C2212yes—
213#2447C2212yes—
214#2427C2212yes—
215#2427C2212yes—
216#2427C2212yes—
217#2427C2212yes—
218#2427C2212yes—
219#2426C2212yes—
220#2426C2212yes—
221#2426C2212yes—
222#2426C2212yes—
223#2426C2212yes—
224#2421C2212yes—
225#2421C2212yes—
226#2421C2212yes—
227#2421C2212yes—
228#2421C2212yes—
229#2420C2212yes—
230#2420C2212yes—
231#2420C2212yes—
232#2420C2212yes—
233#2420C2212yes—
234#2415C2212yes—
235#2415C2212yes—
236#2415C2212yes—
237#2415C2212yes—
238#2415C2212yes—
239#2415C2212yes—
240#2415C2212yes—
241#2415C2212yes—
242#2414C2212yes—
243#2414C2212yes—
244#2414C2212yes—
245#2414C2212yes—
246#2414C2212yes—
247#2414C2212yes—
248#2414C2212yes—
249#2414C2212yes—
250#2407C2212yes—
251#2407C2212yes—
252#2407C2212yes—
253#2407C2212yes—
254#2407C2212yes—
255#2407C2212yes—
256#2407C2212yes—
257#2407C2212yes—
258#2399C2211yescharacteristic
259#2398C2211yescharacteristic
260#2398C2211yescharacteristic
261#2397C2211yescharacteristic
262#2396C2211yescharacteristic
263#2396C2211yescharacteristic
264#2396C2211yescharacteristic
265#2396C2211yescharacteristic
266#2395C2211yescharacteristic
267#2395C2211yescharacteristic
268#2395C2211yescharacteristic
269#2395C2211yescharacteristic
270#2392C2211yescharacteristic
271#2392C2211yescharacteristic
272#2392C2211yescharacteristic
273#2392C2211yescharacteristic
274#2392C2211yescharacteristic
275#2392C2211yescharacteristic
276#2392C2211yescharacteristic
277#2392C2211yescharacteristic
278#2388C2211yescharacteristic
279#2388C2211yescharacteristic
280#2388C2211yescharacteristic
281#2388C2211yescharacteristic
282#2370C2212yes—
283#2370C2212yes—
284#2367C2212yes—
285#2367C2212yes—
286#2363C2212yes—
287#2363C2212yes—
288#2363C2212yes—
289#2363C2212yes—
290#2362C2212yes—
291#2362C2212yes—
292#2362C2212yes—
293#2362C2212yes—
294#2357C2212yes—
295#2356C2212yes—
296#2351C2212yes—
297#2349C2212yes—
298#2347C2212yes—
299#2347C2212yes—
300#2346C2212yes—
301#2346C2212yes—
302#2341C2212yes—
303#2341C2212yes—
304#2339C2212yes—
305#2339C2212yes—
306#2324C2212yes—
307#2324C2212yes—
308#2324C2212yes—
309#2324C2212yes—
310#2324C2212yes—
311#2323C2212yes—
312#2323C2212yes—
313#2323C2212yes—
314#2323C2212yes—
315#2323C2212yes—
316#2320C2212yes—
317#2319C2212yes—
318C4×C4⋊Q8C2211yescharacteristic
319C4×C4⋊Q8C2211yescharacteristic
320C4×C4⋊Q8C2211yescharacteristic
321C4×#127C2211yescharacteristic
322#2285C2211yescharacteristic
323#2285C2211yescharacteristic
324#2285C2211yescharacteristic
325#2285C2211yescharacteristic
326C42×D4C2211yescharacteristic
327C42×D4C2211yescharacteristic
328C42×D4C2211yescharacteristic
329C42×D4C2211yescharacteristic
330C4×#117C2211yescharacteristic
331C22×#41C2312yes—
332C22×#41C2312yes—
333C22×#41C2311yescharacteristic
334C22×#41C2311yescharacteristic
335#533—44no—
336#533—44no—
337#532—44no—
338#532—44no—
339C2×C4⋊Q8C2311yescharacteristic
340C2×C4⋊Q8C2311yescharacteristic
341C2×C4⋊Q8C2311yescharacteristic
342C2×#127C2311yescharacteristic
343C2×#125C2312yes—
344C2×#125C2312yes—
345C2×#125C2312yes—
346C2×#125C2312yes—
347C2×#124C2312yes—
348C2×#124C2312yes—
349C2×#124C2312yes—
350C2×#124C2312yes—
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⋊Q8C2312yes—
363C2×C22⋊Q8C2312yes—
364C2×#121C2312yes—
365C2×#121C2312yes—
366C2×#121C2312yes—
367C2×#121C2312yes—
368C2×#121C2312yes—
369C2×#121C2312yes—
370C2×#121C2312yes—
371C2×#121C2312yes—
372C2×#121C2312yes—
373C2×#121C2312yes—
374C2×#121C2312yes—
375C2×#121C2312yes—
376C2×#121C2312yes—
377C4×#41—44no—
378C4×#41—44no—
379C2×C4×Q8C2312yes—
380C2×C4×Q8C2312yes—
381C2×C4×Q8C2312yes—
382C2×C4×Q8C2312yes—
383C2×C4×Q8C2312yes—
384C2×C4×Q8C2311yescharacteristic
385C2×C4×Q8C2311yescharacteristic
386C2×C4×Q8C2312yes—
387C2×C4×Q8C2312yes—
388C2×C4×Q8C2311yescharacteristic
389C2×C4×Q8C2311yescharacteristic
390C2×C4×D4C2312yes—
391C2×C4×D4C2312yes—
392C2×C4×D4C2312yes—
393C2×C4×D4C2311yescharacteristic
394C2×C4×D4C2311yescharacteristic
395C2×C4×D4C2311yescharacteristic
396C2×C4×D4C2311yescharacteristic
397C2×C4×D4C2312yes—
398C2×C4×D4C2312yes—
399C2×C4×D4C2312yes—
400C2×C4×D4C2312yes—
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×D4C2311yescharacteristic
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×#117C2311yescharacteristic
422C2×#117C2311yescharacteristic
423C2×#117C2311yescharacteristic
424C2×#117C2311yescharacteristic
425C2×#117C2311yescharacteristic
426C2×#117C2311yescharacteristic
427C2×#117C2311yescharacteristic
428C2×#117C2311yescharacteristic
429C2×#117C2312yes—
430C2×#117C2312yes—
431C2×#117C2312yes—
432C2×#117C2312yes—
433C2×#117C2312yes—
434C2×#117C2312yes—
435C22×C42C2311yescharacteristic
436C22×C42C2311yescharacteristic
437C22×C42C2311yescharacteristic
438C22×C42C2311yescharacteristic
439C22×C42C2311yescharacteristic
440#401C2314yes—
441#401C2314yes—
442#401C2314yes—
443#400C2314yes—
444#400C2314yes—
445#400C2314yes—
446#400C2314yes—
447#400C2314yes—
448#400C2314yes—
449#400C2314yes—
450#400C2314yes—
451#400C2314yes—
452#400C2314yes—
453#400C2311yescharacteristic
454#400C2314yes—
455#400C2314yes—
456#400C2314yes—
457#400C2314yes—
458#400C2311yescharacteristic
459#400C2311yescharacteristic
460#400C2311yescharacteristic
461#399C2314yes—
462#399C2314yes—
463#399C2314yes—
464#399C2314yes—
465#399C2314yes—
466#399C2311yescharacteristic
467#399C2311yescharacteristic
468#399C2311yescharacteristic
469#399C2311yescharacteristic
470#398C2314yes—
471#398C2314yes—
472#398C2314yes—
473#398C2314yes—
474#398C2314yes—
475#398C2311yescharacteristic
476#398C2311yescharacteristic
477#398C2311yescharacteristic
478#398C2311yescharacteristic
479#398C2311yescharacteristic
480#398C2311yescharacteristic
481#398C2311yescharacteristic
482#398C2311yescharacteristic
483#397C2314yes—
484#397C2314yes—
485#397C2314yes—
486#397C2314yes—
487#397C2314yes—
488#397C2314yes—
489#397C2314yes—
490#397C2314yes—
491#397C2314yes—
492#397C2314yes—
493#397C2314yes—
494#397C2314yes—
495#397C2314yes—
496#397C2314yes—
497#397C2314yes—
498#397C2314yes—
499#397C2314yes—
500#397C2314yes—
501#397C2314yes—
502#397C2314yes—
503#397C2314yes—
504#397C2314yes—
505#397C2314yes—
506#397C2311yescharacteristic
507#397C2311yescharacteristic
508#397C2314yes—
509#397C2314yes—
510#397C2314yes—
511#397C2314yes—
512#397C2311yescharacteristic
513#397C2311yescharacteristic
514#397C2311yescharacteristic
515#397C2311yescharacteristic
516#397C2311yescharacteristic
517#397C2311yescharacteristic
518#397C2314yes—
519#396C2314yes—
520#396C2314yes—
521#396C2311yescharacteristic
522#396C2311yescharacteristic
523#396C2314yes—
524#396C2311yescharacteristic
525#396C2311yescharacteristic
526#396C2311yescharacteristic
527#396C2311yescharacteristic
528#396C2311yescharacteristic
529#396C2311yescharacteristic
530#395C2311yescharacteristic
531#395C2314yes—
532#395C2314yes—
533#395C2311yescharacteristic
534#395C2311yescharacteristic
535#395C2311yescharacteristic
536#394C2314yes—
537#394C2314yes—
538#394C2314yes—
539#394C2314yes—
540#394C2314yes—
541#394C2314yes—
542#394C2314yes—
543#394C2314yes—
544#394C2314yes—
545#394C2314yes—
546#394C2314yes—
547#394C2314yes—
548#394C2314yes—
549#394C2314yes—
550#394C2314yes—
551#394C2314yes—
552#394C2314yes—
553#394C2314yes—
554#394C2314yes—
555#394C2314yes—
556#394C2314yes—
557#394C2314yes—
558#394C2314yes—
559#394C2314yes—
560#394C2311yescharacteristic
561#394C2311yescharacteristic
562#394C2311yescharacteristic
563#394C2311yescharacteristic
564#394C2311yescharacteristic
565#394C2311yescharacteristic
566#394C2311yescharacteristic
567#394C2311yescharacteristic
568#394C2311yescharacteristic
569#394C2311yescharacteristic
570#394C2311yescharacteristic
571#394C2311yescharacteristic
572#394C2311yescharacteristic
573#394C2311yescharacteristic
574#394C2311yescharacteristic
575#394C2311yescharacteristic
576#393C2314yes—
577#393C2314yes—
578#393C2311yescharacteristic
579#393C2311yescharacteristic
580#393C2311yescharacteristic
581#393C2311yescharacteristic
582#392C2311yescharacteristic
583#392C2311yescharacteristic
584#392C2314yes—
585#392C2314yes—
586#392C2314yes—
587#392C2314yes—
588#392C2314yes—
589#392C2314yes—
590#392C2311yescharacteristic
591#392C2311yescharacteristic
592#392C2311yescharacteristic
593#392C2311yescharacteristic
594#392C2311yescharacteristic
595#392C2311yescharacteristic
596#392C2314yes—
597#392C2314yes—
598#392C2314yes—
599#392C2314yes—
600#391C2312yes—
601#391C2312yes—
602#391C2312yes—
603#391C2312yes—
604#391C2312yes—
605#391C2312yes—
606#391C2312yes—
607#391C2312yes—
608#391C2312yes—
609#391C2312yes—
610#391C2312yes—
611#391C2312yes—
612#391C2312yes—
613#391C2312yes—
614#391C2312yes—
615#391C2312yes—
616#390C2312yes—
617#390C2312yes—
618#390C2312yes—
619#390C2314yes—
620#390C2314yes—
621#390C2314yes—
622#390C2314yes—
623#390C2314yes—
624#390C2314yes—
625#390C2312yes—
626#390C2312yes—
627#390C2312yes—
628#390C2312yes—
629#390C2314yes—
630#390C2312yes—
631#390C2312yes—
632#390C2312yes—
633#390C2314yes—
634#390C2314yes—
635#390C2312yes—
636#390C2312yes—
637#390C2312yes—
638#390C2312yes—
639#390C2314yes—
640#390C2312yes—
641#390C2314yes—
642#390C2312yes—
643#390C2314yes—
644#390C2314yes—
645#389C2312yes—
646#389C2312yes—
647#389C2312yes—
648#389C2312yes—
649#389C2312yes—
650#389C2312yes—
651#389C2312yes—
652#389C2312yes—
653#389C2312yes—
654#389C2312yes—
655#389C2312yes—
656#389C2314yes—
657#389C2312yes—
658#389C2314yes—
659#389C2314yes—
660#389C2314yes—
661#389C2312yes—
662#389C2312yes—
663#389C2312yes—
664#389C2314yes—
665#389C2312yes—
666#389C2312yes—
667#389C2312yes—
668#389C2312yes—
669#389C2312yes—
670#389C2312yes—
671#389C2312yes—
672#389C2312yes—
673#389C2312yes—
674#389C2314yes—
675#389C2314yes—
676#389C2312yes—
677#389C2312yes—
678#389C2312yes—
679#389C2312yes—
680#389C2312yes—
681#389C2312yes—
682#389C2312yes—
683#389C2312yes—
684#389C2314yes—
685#389C2314yes—
686#388C2314yes—
687#388C2314yes—
688#388C2314yes—
689#388C2314yes—
690#388C2314yes—
691#388C2314yes—
692#388C2314yes—
693#388C2314yes—
694#388C2314yes—
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#388C2314yes—
715#388C2314yes—
716#388C2314yes—
717#388C2314yes—
718#388C2314yes—
719#388C2314yes—
720#388C2314yes—
721#388C2314yes—
722#388C2314yes—
723#388C2314yes—
724#388C2314yes—
725#388C2314yes—
726#388C2314yes—
727#388C2314yes—
728#388C2314yes—
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#387C2314yes—
744#387C2314yes—
745#387C2314yes—
746#386C2314yes—
747#386C2314yes—
748#386C2314yes—
749#386C2314yes—
750#386C2314yes—
751#386C2314yes—
752#386C2314yes—
753#386C2314yes—
754#386C2314yes—
755#386C2314yes—
756#386C2314yes—
757#386C2314yes—
758#386C2314yes—
759#385C2314yes—
760#385C2314yes—
761#385C2314yes—
762#385C2314yes—
763#385C2314yes—
764#385C2314yes—
765#385C2314yes—
766#385C2314yes—
767#385C2314yes—
768#384C2311yescharacteristic
769#384C2311yescharacteristic
770#384C2311yescharacteristic
771#384C2311yescharacteristic
772#383C2314yes—
773#383C2314yes—
774#383C2314yes—
775#383C2314yes—
776#382C2314yes—
777#382C2312yes—
778#382C2312yes—
779#382C2312yes—
780#382C2312yes—
781#382C2314yes—
782#382C2314yes—
783#382C2312yes—
784#382C2312yes—
785#382C2312yes—
786#382C2312yes—
787#382C2314yes—
788#381C2314yes—
789#381C2314yes—
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#380C2314yes—
806#380C2312yes—
807#380C2312yes—
808#380C2312yes—
809#380C2312yes—
810#380C2314yes—
811#380C2314yes—
812#380C2312yes—
813#380C2312yes—
814#380C2312yes—
815#380C2312yes—
816#380C2314yes—
817#380C2312yes—
818#380C2312yes—
819#380C2312yes—
820#380C2312yes—
821#380C2312yes—
822C4×C4⋊C4C2312yes—
823C4×C4⋊C4C2312yes—
824C4×C4⋊C4C2312yes—
825C4×C4⋊C4C2312yes—
826C4×C4⋊C4C2312yes—
827C4×C4⋊C4C2312yes—
828C4×C4⋊C4C2312yes—
829C4×C4⋊C4C2312yes—
830C4×C4⋊C4C2314yes—
831C4×C4⋊C4C2312yes—
832C4×C4⋊C4C2312yes—
833C4×C4⋊C4C2312yes—
834C4×C4⋊C4C2312yes—
835C4×C4⋊C4C2312yes—
836C4×C4⋊C4C2312yes—
837C4×C4⋊C4C2314yes—
838C4×C4⋊C4C2314yes—
839C4×C4⋊C4C2311yescharacteristic
840C4×C4⋊C4C2311yescharacteristic
841C4×C4⋊C4C2311yescharacteristic
842C4×C4⋊C4C2311yescharacteristic
843C4×C4⋊C4C2311yescharacteristic
844C4×C4⋊C4C2311yescharacteristic
845C4×C4⋊C4C2311yescharacteristic
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×C22⋊C4C2314yes—
856C4×C22⋊C4C2311yescharacteristic
857C4×C22⋊C4C2311yescharacteristic
858C4×C22⋊C4C2314yes—
859C4×C22⋊C4C2311yescharacteristic
860C4×C22⋊C4C2311yescharacteristic
861C4×C22⋊C4C2311yescharacteristic
862C4×C22⋊C4C2311yescharacteristic
863C4×C22⋊C4C2311yescharacteristic
864C4×C22⋊C4C2311yescharacteristic
865C4×C22⋊C4C2314yes—
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
886#376C2311yescharacteristic
887#376C2314yes—
888#376C2311yescharacteristic
889C2×#95C2314yes—
890C43C2311yescharacteristic
891C43C2311yescharacteristic
892C2×#41—42no—
893C2×#41—42no—
894C2×#41—42no—
895C2×#41—42no—
896C2×#41—42no—
897C2×#41—42no—
898C2×#41—44no—
899C2×#41—44no—
900C2×#41—44no—
901C2×#41—44no—
902C2×#41—44no—
903C2×#41—44no—
904C22×Q8C2412yes—
905C22×Q8C2412yes—
906C22×Q8C2412yes—
907C22×Q8C2411yescharacteristic
908C22×Q8C2411yescharacteristic
909C22×D4C2412yes—
910C22×D4C2412yes—
911C22×D4C2412yes—
912C22×D4C2411yescharacteristic
913C22×D4C2411yescharacteristic
914C22×D4C2411yescharacteristic
915C22×D4C2411yescharacteristic
916C22×D4C2411yescharacteristic
917C22×D4C2411yescharacteristic
918C22×D4C2411yescharacteristic
919C22×D4C2411yescharacteristic
920C22×D4C2411yescharacteristic
921C22×D4C2411yescharacteristic
922C22×D4C2414yes—
923C22×D4C2414yes—
924C22×D4C2414yes—
925C22×D4C2414yes—
926C22×D4C2414yes—
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×C4C2411yescharacteristic
941C23×C4C2411yescharacteristic
942C23×C4C2414yes—
943C23×C4C2414yes—
944C23×C4C2414yes—
945C4⋊Q8—24no—
946C4⋊Q8—24no—
947C4⋊Q8—24no—
948#127—24no—
949#125—44no—
950#125—44no—
951#125—44no—
952#125—44no—
953#124—44no—
954#124—44no—
955#124—44no—
956#124—44no—
957C22⋊Q8—44no—
958C22⋊Q8—44no—
959C22⋊Q8—44no—
960C22⋊Q8—44no—
961C22⋊Q8—44no—
962C22⋊Q8—44no—
963C22⋊Q8—44no—
964C22⋊Q8—44no—
965C22⋊Q8—44no—
966C22⋊Q8—44no—
967C22⋊Q8—44no—
968C22⋊Q8—44no—
969C22⋊Q8—44no—
970#121—44no—
971#121—44no—
972#121—44no—
973#121—44no—
974#121—44no—
975#121—44no—
976#121—44no—
977#121—44no—
978#121—44no—
979#121—44no—
980#121—44no—
981#121—44no—
982#121—44no—
983C4×Q8—42no—
984C4×Q8—42no—
985C4×Q8—42no—
986C4×Q8—42no—
987C4×Q8—44no—
988C4×Q8—44no—
989C4×Q8—44no—
990C4×Q8—44no—
991C4×Q8—44no—
992C4×Q8—44no—
993C4×Q8—44no—
994C4×D4—44no—
995C4×D4—44no—
996C4×D4—44no—
997C4×D4—44no—
998C4×D4—44no—
999C4×D4—44no—
1000C4×D4—44no—
1001C4×D4—42no—
1002C4×D4—42no—
1003C4×D4—42no—
1004C4×D4—42no—
1005C4×D4—42no—
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—
1022C4×D4—42no—
1023C4×D4—42no—
1024C4×D4—42no—
1025#117—42no—
1026#117—42no—
1027#117—42no—
1028#117—42no—
1029#117—42no—
1030#117—42no—
1031#117—42no—
1032#117—42no—
1033#117—44no—
1034#117—44no—
1035#117—44no—
1036#117—44no—
1037#117—44no—
1038#117—44no—
1039C2×C4⋊C4C2412yes—
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⋊C4C2412yes—
1049C2×C4⋊C4C2412yes—
1050C2×C4⋊C4C2412yes—
1051C2×C4⋊C4C2412yes—
1052C2×C4⋊C4C2412yes—
1053C2×C4⋊C4C2412yes—
1054C2×C4⋊C4C2412yes—
1055C2×C4⋊C4C2412yes—
1056C2×C4⋊C4C2412yes—
1057C2×C4⋊C4C2411yescharacteristic
1058C2×C4⋊C4C2411yescharacteristic
1059C2×C4⋊C4C2411yescharacteristic
1060C2×C4⋊C4C2411yescharacteristic
1061C2×C4⋊C4C2411yescharacteristic
1062C2×C4⋊C4C2411yescharacteristic
1063C2×C4⋊C4C2411yescharacteristic
1064C2×C4⋊C4C2411yescharacteristic
1065C2×C4⋊C4C2411yescharacteristic
1066C2×C4⋊C4C2411yescharacteristic
1067C2×C4⋊C4C2411yescharacteristic
1068C2×C4⋊C4C2411yescharacteristic
1069C2×C4⋊C4C2411yescharacteristic
1070C2×C4⋊C4C2411yescharacteristic
1071C2×C4⋊C4C2411yescharacteristic
1072C2×C4⋊C4C2411yescharacteristic
1073C2×C4⋊C4C2411yescharacteristic
1074C2×C4⋊C4C2411yescharacteristic
1075C2×C4⋊C4C2411yescharacteristic
1076C2×C4⋊C4C2411yescharacteristic
1077C2×C4⋊C4C2411yescharacteristic
1078C2×C4⋊C4C2411yescharacteristic
1079C2×C4⋊C4C2411yescharacteristic
1080C2×C4⋊C4C2411yescharacteristic
1081C2×C4⋊C4C2411yescharacteristic
1082C2×C4⋊C4C2411yescharacteristic
1083C2×C4⋊C4C2411yescharacteristic
1084C2×C4⋊C4C2411yescharacteristic
1085C2×C4⋊C4C2414yes—
1086C2×C4⋊C4C2414yes—
1087C2×C4⋊C4C2414yes—
1088C2×C4⋊C4C2414yes—
1089C2×C4⋊C4C2414yes—
1090C2×C4⋊C4C2414yes—
1091C2×C4⋊C4C2414yes—
1092C2×C4⋊C4C2414yes—
1093C2×C4⋊C4C2414yes—
1094C2×C4⋊C4C2414yes—
1095C2×C4⋊C4C2414yes—
1096C2×C4⋊C4C2414yes—
1097C2×C4⋊C4C2414yes—
1098C2×C4⋊C4C2414yes—
1099C2×C4⋊C4C2414yes—
1100C2×C4⋊C4C2414yes—
1101C2×C4⋊C4C2414yes—
1102C2×C4⋊C4C2414yes—
1103C2×C4⋊C4C2414yes—
1104C2×C4⋊C4C2414yes—
1105C2×C22⋊C4C2411yescharacteristic
1106C2×C22⋊C4C2411yescharacteristic
1107C2×C22⋊C4C2411yescharacteristic
1108C2×C22⋊C4C2411yescharacteristic
1109C2×C22⋊C4C2411yescharacteristic
1110C2×C22⋊C4C2411yescharacteristic
1111C2×C22⋊C4C2411yescharacteristic
1112C2×C22⋊C4C2411yescharacteristic
1113C2×C22⋊C4C2411yescharacteristic
1114C2×C22⋊C4C2411yescharacteristic
1115C2×C22⋊C4C2411yescharacteristic
1116C2×C22⋊C4C2411yescharacteristic
1117C2×C22⋊C4C2414yes—
1118C2×C22⋊C4C2414yes—
1119C2×C22⋊C4C2411yescharacteristic
1120C2×C22⋊C4C2411yescharacteristic
1121C2×C22⋊C4C2411yescharacteristic
1122C2×C22⋊C4C2411yescharacteristic
1123C2×C22⋊C4C2414yes—
1124C2×C22⋊C4C2414yes—
1125C2×C22⋊C4C2414yes—
1126C2×C22⋊C4C2414yes—
1127C2×C22⋊C4C2414yes—
1128C2×C22⋊C4C2414yes—
1129C2×C22⋊C4C2414yes—
1130C2×C22⋊C4C2414yes—
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⋊C4C2411yescharacteristic
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⋊C4C2414yes—
1156C2×C22⋊C4C2414yes—
1157C2×C22⋊C4C2414yes—
1158C2×C22⋊C4C2414yes—
1159C2×C22⋊C4C2414yes—
1160C2×C22⋊C4C2414yes—
1161C2×C22⋊C4C2414yes—
1162C2×C22⋊C4C2414yes—
1163C2×C22⋊C4C2414yes—
1164C2×C22⋊C4C2414yes—
1165C2×C22⋊C4C2414yes—
1166C2×C22⋊C4C2414yes—
1167C2×C22⋊C4C2414yes—
1168C2×C22⋊C4C2414yes—
1169C2×C22⋊C4C2414yes—
1170C2×C22⋊C4C2414yes—
1171C2×C22⋊C4C2414yes—
1172C2×C22⋊C4C2414yes—
1173C2×C22⋊C4C2414yes—
1174C2×C22⋊C4C2414yes—
1175C2×C22⋊C4C2414yes—
1176C2×C22⋊C4C2414yes—
1177C2×C22⋊C4C2414yes—
1178C2×C22⋊C4C2414yes—
1179C2×C22⋊C4C2414yes—
1180C2×C42—24no—
1181C2×C42—24no—
1182C2×C42—24no—
1183C2×C42—24no—
1184C2×C42—24no—
1185C2×C42C2411yescharacteristic
1186C2×C42C2411yescharacteristic
1187C2×C42C2411yescharacteristic
1188C2×C42C2411yescharacteristic
1189C2×C42C2411yescharacteristic
1190C2×C42C2411yescharacteristic
1191C2×C42C2411yescharacteristic
1192C2×C42C2411yescharacteristic
1193C2×C42C2411yescharacteristic
1194C2×C42C2411yescharacteristic
1195C2×C42C2411yescharacteristic
1196C2×C42C2411yescharacteristic
1197C2×C42C2411yescharacteristic
1198C2×C42C2411yescharacteristic
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×C42C2414yes—
1213C2×C42C2414yes—
1214C2×C42C2414yes—
1215C2×C42C2414yes—
1216C2×C42C2414yes—
1217C2×C42C2414yes—
1218C2×C42C2414yes—
1219C2×C42C2414yes—
1220C2×C42C2414yes—
1221C2×C42C2411yescharacteristic
1222#95C2411yescharacteristic
1223#95C2414yes—
1224#95C2414yes—
1225#95C2414yes—
1226#95C2411yescharacteristic
1227#95C2411yescharacteristic
1228#95C2411yescharacteristic
1229#95C2411yescharacteristic
1230#95C2411yescharacteristic
1231#95C2411yescharacteristic
1232#95C2411yescharacteristic
1233#95C2411yescharacteristic
1234#95C2411yescharacteristic
1235#95C2414yes—
1236#95C2414yes—
1237#95C2414yes—
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#95C2411yescharacteristic
1258#95C2411yescharacteristic
1259#95C2411yescharacteristic
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—
1294C24C2511yescharacteristic
1295C24C2511yescharacteristic
1296C24C2511yescharacteristic
1297C24C2514yes—
1298C24C2511yescharacteristic
1299C24C2511yescharacteristic
1300#41—416no—
1301#41—416no—
1302#41—816no—
1303#41—816no—
1304C2×Q8—24no—
1305C2×Q8—24no—
1306C2×Q8—24no—
1307C2×Q8—24no—
1308C2×Q8—24no—
1309C2×Q8—24no—
1310C2×Q8—24no—
1311C2×Q8—24no—
1312C2×Q8—24no—
1313C2×Q8—41no—
1314C2×Q8—41no—
1315C2×Q8—41no—
1316C2×Q8—41no—
1317C2×Q8—41no—
1318C2×Q8—41no—
1319C2×D4—24no—
1320C2×D4—24no—
1321C2×D4—24no—
1322C2×D4—24no—
1323C2×D4—24no—
1324C2×D4—24no—
1325C2×D4—24no—
1326C2×D4—24no—
1327C2×D4—24no—
1328C2×D4—41no—
1329C2×D4—41no—
1330C2×D4—41no—
1331C2×D4—41no—
1332C2×D4—41no—
1333C2×D4—41no—
1334C2×D4—41no—
1335C2×D4—41no—
1336C2×D4—41no—
1337C2×D4—41no—
1338C2×D4—41no—
1339C2×D4—41no—
1340C2×D4—41no—
1341C2×D4—41no—
1342C2×D4—41no—
1343C2×D4—41no—
1344C2×D4—41no—
1345C2×D4—41no—
1346C2×D4—41no—
1347C2×D4—41no—
1348C2×D4—41no—
1349C2×D4—41no—
1350C2×D4—41no—
1351C2×D4—41no—
1352C2×D4—41no—
1353C2×D4—41no—
1354C2×D4—41no—
1355C2×D4—41no—
1356C2×D4—41no—
1357C2×D4—41no—
1358C2×D4—44no—
1359C2×D4—44no—
1360C2×D4—44no—
1361C2×D4—44no—
1362C2×D4—44no—
1363C2×D4—44no—
1364C2×D4—44no—
1365C2×D4—44no—
1366C2×D4—44no—
1367C2×D4—44no—
1368C2×D4—44no—
1369C2×D4—44no—
1370C2×D4—44no—
1371C2×D4—44no—
1372C2×D4—44no—
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—22no—
1410C22×C4—22no—
1411C22×C4—22no—
1412C22×C4—22no—
1413C22×C4—22no—
1414C22×C4—22no—
1415C22×C4—22no—
1416C22×C4—22no—
1417C22×C4—22no—
1418C22×C4—44no—
1419C22×C4—44no—
1420C22×C4—44no—
1421C22×C4—44no—
1422C22×C4—44no—
1423C22×C4—44no—
1424C22×C4—44no—
1425C22×C4—44no—
1426C22×C4—44no—
1427C22×C4C2511yescharacteristic
1428C22×C4C2511yescharacteristic
1429C22×C4C2511yescharacteristic
1430C22×C4C2511yescharacteristic
1431C22×C4C2511yescharacteristic
1432C22×C4C2511yescharacteristic
1433C22×C4C2511yescharacteristic
1434C22×C4C2514yes—
1435C22×C4C2514yes—
1436C22×C4C2514yes—
1437C22×C4C2514yes—
1438C22×C4C2511yescharacteristic
1439C22×C4C2511yescharacteristic
1440C22×C4C2511yescharacteristic
1441C22×C4C2511yescharacteristic
1442C22×C4C2511yescharacteristic
1443C22×C4C2511yescharacteristic
1444C22×C4C2514yes—
1445C22×C4C2514yes—
1446C22×C4C2511yescharacteristic
1447C22×C4C2511yescharacteristic
1448C22×C4C2511yescharacteristic
1449C22×C4C2511yescharacteristic
1450C22×C4C2511yescharacteristic
1451C22×C4C2511yescharacteristic
1452C22×C4C2511yescharacteristic
1453C22×C4C2511yescharacteristic
1454C22×C4C2511yescharacteristic
1455C22×C4C2514yes—
1456C22×C4C2511yescharacteristic
1457C22×C4C2511yescharacteristic
1458C22×C4C2511yescharacteristic
1459C22×C4C2511yescharacteristic
1460C4⋊C4—24no—
1461C4⋊C4—24no—
1462C4⋊C4—24no—
1463C4⋊C4—24no—
1464C4⋊C4—24no—
1465C4⋊C4—24no—
1466C4⋊C4—24no—
1467C4⋊C4—24no—
1468C4⋊C4—24no—
1469C4⋊C4—24no—
1470C4⋊C4—24no—
1471C4⋊C4—24no—
1472C4⋊C4—24no—
1473C4⋊C4—24no—
1474C4⋊C4—24no—
1475C4⋊C4—24no—
1476C4⋊C4—24no—
1477C4⋊C4—24no—
1478C4⋊C4—41no—
1479C4⋊C4—41no—
1480C4⋊C4—41no—
1481C4⋊C4—41no—
1482C4⋊C4—41no—
1483C4⋊C4—41no—
1484C4⋊C4—41no—
1485C4⋊C4—41no—
1486C4⋊C4—41no—
1487C4⋊C4—41no—
1488C4⋊C4—41no—
1489C4⋊C4—41no—
1490C4⋊C4—41no—
1491C4⋊C4—41no—
1492C4⋊C4—41no—
1493C4⋊C4—41no—
1494C4⋊C4—41no—
1495C4⋊C4—41no—
1496C4⋊C4—41no—
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—44no—
1507C4⋊C4—44no—
1508C4⋊C4—44no—
1509C4⋊C4—44no—
1510C4⋊C4—44no—
1511C4⋊C4—44no—
1512C4⋊C4—44no—
1513C4⋊C4—44no—
1514C4⋊C4—44no—
1515C4⋊C4—44no—
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—
1526C22⋊C4—41no—
1527C22⋊C4—41no—
1528C22⋊C4—41no—
1529C22⋊C4—41no—
1530C22⋊C4—44no—
1531C22⋊C4—44no—
1532C22⋊C4—44no—
1533C22⋊C4—44no—
1534C22⋊C4—41no—
1535C22⋊C4—41no—
1536C22⋊C4—41no—
1537C22⋊C4—41no—
1538C22⋊C4—41no—
1539C22⋊C4—41no—
1540C22⋊C4—41no—
1541C22⋊C4—41no—
1542C22⋊C4—41no—
1543C22⋊C4—41no—
1544C22⋊C4—41no—
1545C22⋊C4—41no—
1546C22⋊C4—44no—
1547C22⋊C4—44no—
1548C22⋊C4—41no—
1549C22⋊C4—41no—
1550C22⋊C4—41no—
1551C22⋊C4—41no—
1552C22⋊C4—41no—
1553C22⋊C4—41no—
1554C22⋊C4—41no—
1555C22⋊C4—41no—
1556C22⋊C4—44no—
1557C22⋊C4—44no—
1558C22⋊C4—44no—
1559C22⋊C4—41no—
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—41no—
1573C22⋊C4—41no—
1574C22⋊C4—41no—
1575C22⋊C4—44no—
1576C22⋊C4—44no—
1577C22⋊C4—44no—
1578C22⋊C4—44no—
1579C22⋊C4—44no—
1580C22⋊C4—44no—
1581C22⋊C4—44no—
1582C22⋊C4—44no—
1583C22⋊C4—44no—
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—
1594C22⋊C4—44no—
1595C22⋊C4—44no—
1596C22⋊C4—44no—
1597C22⋊C4—44no—
1598C22⋊C4—44no—
1599C22⋊C4—44no—
1600C22⋊C4—44no—
1601C42—22no—
1602C42—22no—
1603C42—22no—
1604C42—22no—
1605C42—22no—
1606C42—22no—
1607C42—22no—
1608C42—22no—
1609C42—22no—
1610C42—22no—
1611C42—22no—
1612C42—22no—
1613C42—22no—
1614C42—22no—
1615C42—22no—
1616C42—22no—
1617C42—22no—
1618C42—22no—
1619C42—22no—
1620C42—22no—
1621C42—22no—
1622C42—22no—
1623C42—22no—
1624C42—22no—
1625C42—22no—
1626C42—22no—
1627C42—22no—
1628C42—44no—
1629C42—44no—
1630C42—44no—
1631C42—44no—
1632C42—44no—
1633C42—44no—
1634C42—44no—
1635C42—44no—
1636C42—44no—
1637C42H(5,𝔽2)14yes—
1638C23—21no—
1639C23—21no—
1640C23—21no—
1641C23—24no—
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—24no—
1658C23—24no—
1659C23—21no—
1660C23—21no—
1661C23—21no—
1662C23—21no—
1663C23—21no—
1664C23—24no—
1665C23—24no—
1666C23—24no—
1667C23—24no—
1668C23—21no—
1669C23—21no—
1670C23—21no—
1671C23—21no—
1672C23—21no—
1673C23—21no—
1674C23—21no—
1675C23—21no—
1676C23—21no—
1677C23—21no—
1678C23—21no—
1679C23—21no—
1680C23C2611yescharacteristic
1681Q8—44no—
1682Q8—44no—
1683Q8—48no—
1684Q8—48no—
1685Q8—48no—
1686D4—44no—
1687D4—44no—
1688D4—44no—
1689D4—44no—
1690D4—44no—
1691D4—44no—
1692D4—44no—
1693D4—44no—
1694D4—44no—
1695D4—44no—
1696D4—48no—
1697D4—48no—
1698D4—48no—
1699D4—88no—
1700D4—88no—
1701D4—164no—
1702D4—164no—
1703D4—164no—
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—21no—
1713C2×C4—21no—
1714C2×C4—21no—
1715C2×C4—21no—
1716C2×C4—21no—
1717C2×C4—21no—
1718C2×C4—21no—
1719C2×C4—24no—
1720C2×C4—24no—
1721C2×C4—24no—
1722C2×C4—21no—
1723C2×C4—21no—
1724C2×C4—21no—
1725C2×C4—21no—
1726C2×C4—21no—
1727C2×C4—21no—
1728C2×C4—21no—
1729C2×C4—21no—
1730C2×C4—21no—
1731C2×C4—21no—
1732C2×C4—21no—
1733C2×C4—21no—
1734C2×C4—21no—
1735C2×C4—21no—
1736C2×C4—21no—
1737C2×C4—21no—
1738C2×C4—21no—
1739C2×C4—21no—
1740C2×C4—21no—
1741C2×C4—21no—
1742C2×C4—21no—
1743C2×C4—21no—
1744C2×C4—21no—
1745C2×C4—21no—
1746C2×C4—21no—
1747C2×C4—21no—
1748C2×C4—21no—
1749C2×C4—21no—
1750C2×C4—24no—
1751C2×C4—24no—
1752C2×C4—24no—
1753C2×C4—24no—
1754C2×C4—24no—
1755C2×C4—24no—
1756C2×C4—24no—
1757C2×C4—24no—
1758C2×C4—24no—
1759C2×C4—24no—
1760C2×C4—24no—
1761C2×C4—24no—
1762C2×C4—21no—
1763C2×C4—21no—
1764C2×C4—21no—
1765C2×C4—21no—
1766C2×C4—21no—
1767C2×C4—24no—
1768C2×C4—21no—
1769C2×C4—21no—
1770C2×C4—21no—
1771C2×C4—21no—
1772C2×C4—24no—
1773C2×C4—24no—
1774C2×C4—24no—
1775C2×C4—21no—
1776C2×C4—21no—
1777C2×C4—21no—
1778C2×C4—21no—
1779C2×C4—24no—
1780C2×C4—24no—
1781C2×C4—21no—
1782C2×C4—21no—
1783C2×C4—21no—
1784C2×C4—21no—
1785C2×C4—21no—
1786C2×C4—21no—
1787C2×C4—21no—
1788C2×C4—21no—
1789C2×C4—21no—
1790C2×C4—21no—
1791C2×C4—21no—
1792C2×C4—21no—
1793C2×C4—21no—
1794C2×C4—44no—
1795C2×C4—44no—
1796C2×C4—44no—
1797C2×C4—44no—
1798C2×C4—44no—
1799C2×C4—44no—
1800C2×C4—44no—
1801C2×C4—44no—
1802C2×C4—44no—
1803C2×C4—44no—
1804C2×C4—44no—
1805C2×C4—44no—
1806C2×C4—44no—
1807C2×C4—44no—
1808C2×C4—44no—
1809C2×C4—88no—
1810C2×C4—88no—
1811C2×C4—164no—
1812C2×C4C2×H(5,𝔽2)12yes—
1813C2×C4C2×H(5,𝔽2)12yes—
1814C2×C4C2×H(5,𝔽2)12yes—
1815C2×C4#58512yes—
1816C2×C4#58512yes—
1817C2×C4#58512yes—
1818C2×C4#58512yes—
1819C2×C4#58512yes—
1820C2×C4#58512yes—
1821C22—41no—
1822C22—41no—
1823C22—41no—
1824C22—41no—
1825C22—41no—
1826C22—44no—
1827C22—41no—
1828C22—41no—
1829C22—41no—
1830C22—41no—
1831C22—41no—
1832C22—44no—
1833C22—41no—
1834C22—41no—
1835C22—41no—
1836C22—41no—
1837C22—41no—
1838C22—44no—
1839C22—44no—
1840C22—41no—
1841C22—41no—
1842C22—41no—
1843C22—41no—
1844C22—41no—
1845C22—41no—
1846C22—41no—
1847C22—41no—
1848C22—41no—
1849C22—41no—
1850C22—41no—
1851C22—44no—
1852C22—44no—
1853C22—44no—
1854C22—41no—
1855C22—41no—
1856C22—41no—
1857C22—41no—
1858C22—41no—
1859C22—41no—
1860C22—41no—
1861C22—41no—
1862C22—41no—
1863C22C22×H(5,𝔽2)11yescharacteristic
1864C22C2×#58511yescharacteristic
1865C22C2×#58511yescharacteristic
1866C22C2×#58511yescharacteristic
1867C22C2×#58511yescharacteristic
1868C22C2×#58511yescharacteristic
1869C22C2×#58511yescharacteristic
1870C4—41no—
1871C4—41no—
1872C4—41no—
1873C4—41no—
1874C4—41no—
1875C4—44no—
1876C4—41no—
1877C4—41no—
1878C4—41no—
1879C4—41no—
1880C4—41no—
1881C4—44no—
1882C4—41no—
1883C4—41no—
1884C4—41no—
1885C4—41no—
1886C4—41no—
1887C4—44no—
1888C4—41no—
1889C4—41no—
1890C4—41no—
1891C4—44no—
1892C4—41no—
1893C4—41no—
1894C4—41no—
1895C4—41no—
1896C4—41no—
1897C4—44no—
1898C4—44no—
1899C4—44no—
1900C4#353914yes—
1901C4#354014yes—
1902C4#355114yes—
1903C2—81no—
1904C2—81no—
1905C2—81no—
1906C2—81no—
1907C2—81no—
1908C2—84no—
1909C2C2×#353911yescharacteristic
1910C2C2×#354011yescharacteristic
1911C2C2×#355111yescharacteristic
1912C2#6283911yescharacteristic
1913C2#6283911yescharacteristic
1914C2#6283911yescharacteristic
1915C2#6283911yescharacteristic
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. #53153C2semidirect
2. #53078C2semidirect
3. #53065C2semidirect
4. #53064C2semidirect
5. #53064C2semidirect
6. #53064C2semidirect
7. #45402C2semidirect
8. #45401C2semidirect
9. #45301C2semidirect
10. #45234C2semidirect
11. #45205C2semidirect
12. #45204C2semidirect
13. #42906C2semidirect
14. #42906C2semidirect
15. #42898C2semidirect
16. #42778C2semidirect
17. #42778C2semidirect
18. #42761C2semidirect
19. #42761C2semidirect
20. #42760C2semidirect
21. #42760C2semidirect
22. #42745C2semidirect
23. #42725C2semidirect
24. #42724C2semidirect
25. #36211C2semidirect
26. #36210C2semidirect
27. #36210C2semidirect
28. #36209C2semidirect
29. #36151C2semidirect
30. #36150C2semidirect
31. #36150C2semidirect
32. #36149C2semidirect
33. #35297C2semidirect
34. #35297C2semidirect
35. #35292C2semidirect
36. #35292C2semidirect
37. #35291C2semidirect
38. #35288C2semidirect
39. #34547C2semidirect

Maximal subgroups

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

subgroupindex
#531532
#530782
#530652
#530642
#454022
#454012
#453012
#452342
#452052
#452042
#429062
#428982
#427782
#427612
#427602
#427452
#427252
#427242
#362112
#362102
#362092
#361512
#361502
#361492
#352972
#352922
#352912
#352882
#345472