Finite Group Databasebeta

← #7712246

Subgroups — #7712246

Order 512.

5017 conjugacy classes of subgroups.

The subgroup lattice has 1862 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59716C212yesmaximal, complemented
2#59500C212yesmaximal, complemented
3#59153C212yesmaximal, complemented
4#59137C212yesmaximal, complemented
5#46062C212yesmaximal, complemented
6#46049C212yesmaximal, complemented
7#45654C212yesmaximal, complemented
8#45609C212yesmaximal, complemented
9#40213C212yesmaximal, complemented
10#40188C212yesmaximal, complemented
11#40127C212yesmaximal, complemented
12#40052C212yesmaximal, complemented
13#40027C212yesmaximal, complemented
14#39952C212yesmaximal, complemented
15#39937C212yesmaximal, complemented
16#39912C212yesmaximal, complemented
17#39800C212yesmaximal, complemented
18#39424C212yesmaximal, complemented
19#37767C212yesmaximal, complemented
20#37759C212yesmaximal, complemented
21#37593C212yesmaximal, complemented
22#37293C212yesmaximal, complemented
23#37277C212yesmaximal, complemented
24#36645C211yesmaximal, characteristic, complemented
25#36631C211yesmaximal, characteristic, complemented
26#36574C211yesmaximal, characteristic, complemented
27#36559C211yesmaximal, characteristic, complemented
28#36211C211yesmaximal, characteristic, complemented
29#36211C211yesmaximal, characteristic, complemented
30#36210C211yesmaximal, characteristic, complemented
31#36194C211yesmaximal, characteristic, complemented
32#36189C211yesmaximal, characteristic, complemented
33#36182C211yesmaximal, characteristic, complemented
34#35294C211yesmaximal, characteristic, complemented
35#35277C211yesmaximal, characteristic, complemented
36#35277C211yesmaximal, characteristic, complemented
37#35275C211yesmaximal, characteristic, complemented
38#34428C212yesmaximal, complemented
39C4×#529C211yesmaximal, characteristic, complemented
40C2×#554C2212yes—
41C2×#553C2212yes—
42C2×#544C2212yes—
43C2×#542C2212yes—
44C2×#542C2212yes—
45C2×#533C2212yes—
46C2×#529C2211yescharacteristic
47C2×#529C2212yes—
48#2868C2211yescharacteristic
49#2868C2211yescharacteristic
50#2868C2211yescharacteristic
51#2862C2212yes—
52#2861C2212yes—
53#2860C2212yes—
54#2860C2212yes—
55#2859C2212yes—
56#2859C2211yescharacteristic
57#2859C2211yescharacteristic
58#2859C2211yescharacteristic
59#2859C2211yescharacteristic
60#2859C2211yescharacteristic
61#2859C2211yescharacteristic
62#2858C2211yescharacteristic
63#2857C2211yescharacteristic
64#2857C2212yes—
65#2857C2212yes—
66#2857C2212yes—
67#2857C2212yes—
68#2857C2211yescharacteristic
69#2857C2211yescharacteristic
70#2856C2211yescharacteristic
71#2856C2211yescharacteristic
72#2856C2211yescharacteristic
73#2854C2212yes—
74#2854C2212yes—
75#2850C2212yes—
76#2832C2214yes—
77#2831C2214yes—
78#2783C2214yes—
79#2775C2214yes—
80#2772C2214yes—
81#2764C2214yes—
82#2759C2214yes—
83#2746C2214yes—
84#2745C2214yes—
85#2737C2214yes—
86#2731C2214yes—
87#2728C2214yes—
88#2725C2214yes—
89#2725C2214yes—
90#2716C2214yes—
91#2715C2214yes—
92#2715C2214yes—
93#2707C2214yes—
94#2706C2214yes—
95#2705C2214yes—
96#2702C2214yes—
97#2702C2214yes—
98#2702C2214yes—
99#2698C2214yes—
100#2698C2214yes—
101#2696C2214yes—
102#2695C2214yes—
103#2693C2214yes—
104#2692C2214yes—
105#2689C2214yes—
106#2683C2214yes—
107#2681C2214yes—
108#2676C2214yes—
109#2672C2214yes—
110#2663C2214yes—
111#2660C2212yes—
112#2660C2212yes—
113#2652C2214yes—
114#2651C2214yes—
115#2650C2214yes—
116#2640C2212yes—
117#2640C2212yes—
118#2629C2212yes—
119#2628C2212yes—
120#2620C2212yes—
121#2620C2212yes—
122#2594C2214yes—
123#2584C2212yes—
124#2584C2212yes—
125#2581C2212yes—
126#2577C2214yes—
127#2571C2212yes—
128#2570C2212yes—
129#2570C2212yes—
130#2570C2212yes—
131#2566C2212yes—
132#2566C2212yes—
133#2566C2212yes—
134#2563C2212yes—
135#2563C2212yes—
136#2562C2212yes—
137#2560C2214yes—
138#2558C2214yes—
139#2552C2212yes—
140#2552C2212yes—
141#2551C2212yes—
142#2551C2212yes—
143#2550C2212yes—
144#2550C2212yes—
145#2538C2212yes—
146#2538C2212yes—
147#2538C2212yes—
148#2535C2212yes—
149#2535C2212yes—
150#2514C2212yes—
151#2513C2212yes—
152#2513C2212yes—
153#2513C2212yes—
154#2513C2212yes—
155#2512C2212yes—
156#2512C2212yes—
157#2512C2212yes—
158#2512C2212yes—
159#2512C2212yes—
160#2512C2212yes—
161#2511C2212yes—
162#2509C2212yes—
163#2509C2212yes—
164#2509C2212yes—
165#2508C2212yes—
166#2508C2212yes—
167#2507C2212yes—
168#2504C2212yes—
169#2500C2212yes—
170#2497C2212yes—
171#2497C2212yes—
172#2497C2212yes—
173#2495C2212yes—
174#2494C2212yes—
175#2494C2212yes—
176#2492C2212yes—
177#2492C2212yes—
178#2491C2212yes—
179#2491C2212yes—
180#2491C2212yes—
181#2491C2212yes—
182#2490C2212yes—
183#2490C2212yes—
184#2490C2212yes—
185#2490C2212yes—
186#2487C2212yes—
187#2485C2212yes—
188#2478C2214yes—
189#2475C2214yes—
190#2469C2214yes—
191#2465C2214yes—
192#2465C2214yes—
193#2463C2214yes—
194#2461C2214yes—
195#2458C2214yes—
196#2453C2212yes—
197#2453C2212yes—
198#2452C2212yes—
199#2452C2214yes—
200#2452C2212yes—
201#2452C2212yes—
202#2452C2212yes—
203#2452C2212yes—
204#2452C2212yes—
205#2452C2212yes—
206#2452C2212yes—
207#2449C2214yes—
208#2442C2212yes—
209#2441C2212yes—
210#2441C2212yes—
211#2441C2212yes—
212#2440C2212yes—
213#2440C2212yes—
214#2440C2212yes—
215#2440C2212yes—
216#2439C2212yes—
217#2439C2212yes—
218#2439C2212yes—
219#2439C2212yes—
220#2429C2214yes—
221#2426C2214yes—
222#2423C2212yes—
223#2422C2212yes—
224#2422C2212yes—
225#2422C2212yes—
226#2422C2212yes—
227#2422C2212yes—
228#2422C2212yes—
229#2421C2212yes—
230#2420C2212yes—
231#2420C2212yes—
232#2420C2212yes—
233#2420C2212yes—
234#2417C2212yes—
235#2416C2212yes—
236#2416C2212yes—
237#2415C2212yes—
238#2415C2214yes—
239#2414C2212yes—
240#2414C2212yes—
241#2414C2212yes—
242#2414C2212yes—
243#2413C2214yes—
244#2379C2214yes—
245#2378C2214yes—
246#2370C2212yes—
247#2370C2212yes—
248#2370C2212yes—
249#2369C2212yes—
250#2367C2214yes—
251#2363C2212yes—
252#2363C2212yes—
253#2363C2212yes—
254#2363C2212yes—
255#2362C2212yes—
256#2361C2212yes—
257#2361C2212yes—
258#2360C2212yes—
259#2360C2214yes—
260#2357C2212yes—
261#2357C2212yes—
262#2355C2212yes—
263#2354C2212yes—
264#2352C2212yes—
265#2351C2212yes—
266D4×C4⋊C4C2212yes—
267D4×C4⋊C4C2212yes—
268#2347C2212yes—
269#2345C2212yes—
270#2335C2214yes—
271#2334C2214yes—
272#2334C2214yes—
273#2331C2212yes—
274#2330C2212yes—
275#2326C2212yes—
276#2326C2212yes—
277#2322C2214yes—
278#2317C2212yes—
279C4×C4⋊Q8C2212yes—
280C4×C4⋊Q8C2212yes—
281C4×C4⋊Q8C2211yescharacteristic
282C4×C4⋊Q8C2212yes—
283C4×C4⋊Q8C2212yes—
284C4×C4⋊Q8C2211yescharacteristic
285C4×C4⋊Q8C2211yescharacteristic
286C4×#127C2211yescharacteristic
287C4×#127C2211yescharacteristic
288C4×#127C2211yescharacteristic
289C4×#125C2211yescharacteristic
290C4×#125C2211yescharacteristic
291C4×#126C2211yescharacteristic
292C4×#126C2211yescharacteristic
293C4×#126C2211yescharacteristic
294C4×#126C2211yescharacteristic
295C4×#124C2211yescharacteristic
296C4×#124C2212yes—
297C4×#124C2211yescharacteristic
298C4×C22⋊Q8C2211yescharacteristic
299C4×C22⋊Q8C2211yescharacteristic
300C4×#123C2211yescharacteristic
301C4×#123C2211yescharacteristic
302C4×#123C2211yescharacteristic
303C4×#123C2211yescharacteristic
304C4×#121C2211yescharacteristic
305C4×#121C2212yes—
306C4×#121C2212yes—
307C4×#121C2211yescharacteristic
308#2298C2211yescharacteristic
309#2298C2211yescharacteristic
310#2295C2211yescharacteristic
311#2293C2211yescharacteristic
312#2293C2212yes—
313#2293C2212yes—
314#2290C2211yescharacteristic
315#2290C2211yescharacteristic
316#2285C2212yes—
317#2285C2211yescharacteristic
318#2285C2211yescharacteristic
319#2285C2211yescharacteristic
320#2285C2211yescharacteristic
321#2285C2211yescharacteristic
322C2×#384C2211yescharacteristic
323#2283C2211yescharacteristic
324C42×Q8C2211yescharacteristic
325C42×D4C2211yescharacteristic
326C42×D4C2211yescharacteristic
327C42×D4C2211yescharacteristic
328C4×#117C2211yescharacteristic
329C4×#117C2211yescharacteristic
330C2×C43C2211yescharacteristic
331#554—48no—
332#553—48no—
333#544—48no—
334#542—216no—
335#542—48no—
336#533—48no—
337C2×C4⋊Q8C2311yescharacteristic
338C2×C4⋊Q8C2312yes—
339C2×C4⋊Q8C2312yes—
340C2×C4⋊Q8C2312yes—
341C2×C4⋊Q8C2312yes—
342C2×C4⋊Q8C2312yes—
343C2×C4⋊Q8C2312yes—
344C2×C4⋊Q8C2312yes—
345C2×C4⋊Q8C2312yes—
346C2×C4⋊Q8C2312yes—
347C2×C4⋊Q8C2314yes—
348C2×#127C2311yescharacteristic
349#529—28no—
350#529—48no—
351C2×#126C2311yescharacteristic
352C2×#126C2311yescharacteristic
353C2×#126C2314yes—
354C2×#126C2314yes—
355C2×#126C2314yes—
356C2×#126C2314yes—
357C2×#125C2311yescharacteristic
358C2×#125C2312yes—
359C2×#125C2312yes—
360C2×#125C2312yes—
361C2×#125C2312yes—
362C2×#125C2312yes—
363C2×#125C2312yes—
364C2×#125C2314yes—
365C2×#124C2312yes—
366C2×#124C2312yes—
367C2×#124C2314yes—
368C2×#124C2311yescharacteristic
369C2×#124C2314yes—
370C2×#123C2314yes—
371C2×#123C2311yescharacteristic
372C2×#123C2311yescharacteristic
373C2×#123C2314yes—
374C2×#123C2314yes—
375C2×#123C2314yes—
376C2×C22⋊Q8C2312yes—
377C2×C22⋊Q8C2314yes—
378C2×C22⋊Q8C2311yescharacteristic
379C2×C22⋊Q8C2314yes—
380C2×C22⋊Q8C2312yes—
381C2×C22⋊Q8C2314yes—
382C2×C22⋊Q8C2314yes—
383C2×C22⋊Q8C2312yes—
384C2×C22⋊Q8C2314yes—
385C2×C22⋊Q8C2314yes—
386C2×C22⋊Q8C2314yes—
387C2×C22⋊Q8C2314yes—
388C2×C22⋊Q8C2314yes—
389C2×#121C2312yes—
390C2×#121C2312yes—
391C2×#121C2311yescharacteristic
392C2×#121C2312yes—
393C2×#121C2312yes—
394C2×#121C2312yes—
395C2×#121C2312yes—
396C2×#121C2312yes—
397C2×#121C2312yes—
398C2×#121C2312yes—
399C2×#121C2314yes—
400C2×C4×Q8C2312yes—
401C2×C4×Q8C2311yescharacteristic
402C2×C4×Q8C2311yescharacteristic
403C2×C4×Q8C2314yes—
404C2×C4×Q8C2314yes—
405C2×C4×Q8C2312yes—
406C2×C4×Q8C2312yes—
407C2×C4×Q8C2311yescharacteristic
408C2×C4×D4C2312yes—
409C2×C4×D4C2312yes—
410C2×C4×D4C2311yescharacteristic
411C2×C4×D4C2311yescharacteristic
412C2×C4×D4C2311yescharacteristic
413C2×C4×D4C2311yescharacteristic
414C2×C4×D4C2311yescharacteristic
415C2×C4×D4C2311yescharacteristic
416C2×C4×D4C2312yes—
417C2×C4×D4C2312yes—
418C2×C4×D4C2312yes—
419C2×C4×D4C2312yes—
420C2×C4×D4C2312yes—
421C2×C4×D4C2312yes—
422C2×C4×D4C2312yes—
423C2×C4×D4C2311yescharacteristic
424C2×C4×D4C2314yes—
425C2×C4×D4C2314yes—
426C2×C4×D4C2311yescharacteristic
427C2×C4×D4C2311yescharacteristic
428C2×#117C2311yescharacteristic
429C2×#117C2311yescharacteristic
430C2×#117C2311yescharacteristic
431C2×#117C2312yes—
432C2×#117C2312yes—
433C2×#117C2312yes—
434C2×#117C2312yes—
435C2×#117C2312yes—
436C2×#117C2314yes—
437C2×#117C2311yescharacteristic
438C22×C4⋊C4C2312yes—
439C22×C4⋊C4C2314yes—
440C22×C4⋊C4C2312yes—
441C22×C4⋊C4C2312yes—
442C22×C42C2311yescharacteristic
443C22×C42C2311yescharacteristic
444C22×C42C2311yescharacteristic
445C22×C42C2311yescharacteristic
446C22×C42C2311yescharacteristic
447C22×C42C2311yescharacteristic
448C22×C42C2311yescharacteristic
449C22×C42C2311yescharacteristic
450C22×C42C2311yescharacteristic
451#401C2314yes—
452#400C2314yes—
453#400C2314yes—
454#400C2314yes—
455#400C2314yes—
456#400C2314yes—
457#400C2314yes—
458#400C2314yes—
459#400C2314yes—
460#400C2314yes—
461#400C2314yes—
462#399C2314yes—
463#399C2314yes—
464#398C2314yes—
465#398C2314yes—
466#398C2314yes—
467#398C2314yes—
468#398C2314yes—
469#398C2314yes—
470#398C2314yes—
471#398C2314yes—
472#398C2314yes—
473#398C2314yes—
474#397C2314yes—
475#397C2314yes—
476#397C2314yes—
477#397C2314yes—
478#397C2314yes—
479#397C2314yes—
480#397C2314yes—
481#397C2314yes—
482#397C2314yes—
483#397C2314yes—
484#397C2314yes—
485#397C2314yes—
486#397C2314yes—
487#397C2314yes—
488#396C2314yes—
489#396C2314yes—
490#396C2314yes—
491#396C2314yes—
492#396C2314yes—
493#396C2314yes—
494#396C2314yes—
495#396C2314yes—
496#396C2314yes—
497#396C2314yes—
498#396C2314yes—
499#396C2314yes—
500#396C2314yes—
501#396C2314yes—
502#396C2314yes—
503#395C2314yes—
504#395C2314yes—
505#395C2314yes—
506#395C2314yes—
507#395C2314yes—
508#395C2314yes—
509#394C2314yes—
510#394C2314yes—
511#394C2314yes—
512#394C2314yes—
513#394C2314yes—
514#394C2314yes—
515#394C2314yes—
516#394C2314yes—
517#394C2314yes—
518#394C2314yes—
519#394C2314yes—
520#393C2314yes—
521#393C2314yes—
522#393C2314yes—
523#393C2314yes—
524#393C2314yes—
525#393C2314yes—
526#393C2314yes—
527#393C2314yes—
528#393C2314yes—
529#392C2314yes—
530#392C2314yes—
531#391C2314yes—
532#391C2314yes—
533#391C2312yes—
534#391C2312yes—
535#391C2314yes—
536#391C2314yes—
537#391C2314yes—
538#391C2312yes—
539#391C2312yes—
540#391C2312yes—
541#391C2314yes—
542#391C2314yes—
543#391C2312yes—
544#391C2314yes—
545#391C2311yescharacteristic
546#391C2311yescharacteristic
547#390C2314yes—
548#390C2312yes—
549#390C2312yes—
550#390C2312yes—
551#390C2312yes—
552#390C2312yes—
553#390C2312yes—
554#390C2312yes—
555#390C2312yes—
556#390C2312yes—
557#390C2314yes—
558#390C2312yes—
559#390C2312yes—
560#390C2312yes—
561#390C2312yes—
562#390C2312yes—
563#390C2312yes—
564#390C2312yes—
565#390C2312yes—
566#390C2312yes—
567#390C2312yes—
568#390C2312yes—
569#390C2312yes—
570#390C2312yes—
571#390C2314yes—
572#390C2314yes—
573#390C2314yes—
574#390C2311yescharacteristic
575#390C2311yescharacteristic
576#389C2311yescharacteristic
577#389C2311yescharacteristic
578#389C2311yescharacteristic
579#389C2311yescharacteristic
580#389C2314yes—
581#389C2312yes—
582#389C2312yes—
583#389C2312yes—
584#389C2312yes—
585#389C2312yes—
586#389C2312yes—
587#389C2312yes—
588#389C2312yes—
589#389C2312yes—
590#389C2312yes—
591#389C2312yes—
592#389C2314yes—
593#389C2312yes—
594#389C2314yes—
595#389C2314yes—
596#389C2312yes—
597#389C2312yes—
598#389C2312yes—
599#389C2312yes—
600#389C2312yes—
601#389C2312yes—
602#389C2312yes—
603#389C2312yes—
604#389C2312yes—
605#389C2314yes—
606#389C2314yes—
607#389C2314yes—
608#389C2314yes—
609#389C2312yes—
610#389C2314yes—
611#389C2312yes—
612#389C2312yes—
613#389C2312yes—
614#389C2314yes—
615#389C2314yes—
616#389C2314yes—
617#389C2312yes—
618#389C2314yes—
619#389C2312yes—
620#389C2312yes—
621#389C2314yes—
622#389C2312yes—
623#389C2312yes—
624#389C2312yes—
625#389C2312yes—
626#389C2312yes—
627#389C2312yes—
628#389C2312yes—
629#389C2312yes—
630#389C2314yes—
631#388C2311yescharacteristic
632#388C2311yescharacteristic
633#388C2311yescharacteristic
634#388C2311yescharacteristic
635#388C2311yescharacteristic
636#388C2311yescharacteristic
637#388C2311yescharacteristic
638#388C2311yescharacteristic
639#388C2311yescharacteristic
640#388C2311yescharacteristic
641#388C2311yescharacteristic
642#388C2311yescharacteristic
643#388C2314yes—
644#388C2314yes—
645#388C2314yes—
646#388C2314yes—
647#388C2314yes—
648#388C2314yes—
649#388C2311yescharacteristic
650#388C2314yes—
651#388C2314yes—
652#388C2314yes—
653#388C2314yes—
654#388C2314yes—
655#388C2314yes—
656#388C2314yes—
657#388C2314yes—
658#388C2314yes—
659#388C2311yescharacteristic
660#388C2314yes—
661#388C2314yes—
662#388C2314yes—
663#388C2314yes—
664#388C2314yes—
665#388C2314yes—
666#388C2314yes—
667#388C2314yes—
668#388C2314yes—
669#388C2314yes—
670#388C2314yes—
671#388C2314yes—
672#388C2314yes—
673#388C2314yes—
674#388C2311yescharacteristic
675#388C2311yescharacteristic
676#387C2311yescharacteristic
677#387C2311yescharacteristic
678#387C2311yescharacteristic
679#387C2311yescharacteristic
680#387C2311yescharacteristic
681#387C2311yescharacteristic
682#387C2311yescharacteristic
683#387C2311yescharacteristic
684#387C2311yescharacteristic
685#387C2311yescharacteristic
686#387C2311yescharacteristic
687#387C2311yescharacteristic
688#387C2314yes—
689#387C2311yescharacteristic
690#387C2311yescharacteristic
691#387C2311yescharacteristic
692#387C2311yescharacteristic
693#387C2314yes—
694#387C2314yes—
695#387C2314yes—
696#387C2314yes—
697#387C2314yes—
698#387C2314yes—
699#387C2314yes—
700#387C2314yes—
701#387C2314yes—
702#387C2314yes—
703#387C2314yes—
704#387C2314yes—
705#387C2314yes—
706#387C2314yes—
707#387C2314yes—
708#387C2314yes—
709#386C2314yes—
710#386C2314yes—
711#386C2314yes—
712#386C2314yes—
713#386C2314yes—
714#386C2314yes—
715#386C2314yes—
716#386C2314yes—
717#386C2314yes—
718#386C2311yescharacteristic
719#386C2311yescharacteristic
720#386C2311yescharacteristic
721#386C2311yescharacteristic
722#385C2314yes—
723#385C2314yes—
724#385C2314yes—
725#385C2314yes—
726#385C2314yes—
727#385C2314yes—
728#385C2314yes—
729#385C2314yes—
730#385C2314yes—
731#385C2314yes—
732#385C2314yes—
733#385C2314yes—
734#385C2314yes—
735#385C2311yescharacteristic
736#385C2311yescharacteristic
737#385C2311yescharacteristic
738#385C2311yescharacteristic
739#384C2311yescharacteristic
740#384C2311yescharacteristic
741#384C2311yescharacteristic
742#384C2312yes—
743#384C2312yes—
744#384C2312yes—
745#384C2311yescharacteristic
746#384C2311yescharacteristic
747#384C2311yescharacteristic
748#384C2312yes—
749#384C2312yes—
750#384C2312yes—
751#384C2312yes—
752#384C2312yes—
753#384C2312yes—
754#384C2312yes—
755#384C2312yes—
756#384C2312yes—
757#383C2311yescharacteristic
758#383C2311yescharacteristic
759#383C2314yes—
760#382C2311yescharacteristic
761#382C2311yescharacteristic
762#382C2312yes—
763#382C2312yes—
764#382C2314yes—
765#382C2312yes—
766#382C2312yes—
767#382C2312yes—
768#382C2312yes—
769#382C2312yes—
770#382C2312yes—
771#382C2312yes—
772#382C2314yes—
773#382C2312yes—
774#382C2312yes—
775#381C2314yes—
776#381C2314yes—
777#381C2311yescharacteristic
778#381C2311yescharacteristic
779#380C2312yes—
780#380C2312yes—
781#380C2312yes—
782#380C2312yes—
783#380C2314yes—
784#380C2314yes—
785#380C2312yes—
786#380C2312yes—
787#380C2312yes—
788#380C2312yes—
789#380C2312yes—
790#380C2312yes—
791#380C2314yes—
792#380C2312yes—
793#380C2312yes—
794#380C2312yes—
795#380C2314yes—
796#380C2314yes—
797#380C2312yes—
798#380C2312yes—
799#380C2311yescharacteristic
800#380C2312yes—
801#380C2311yescharacteristic
802C4×C4⋊C4C2311yescharacteristic
803C4×C4⋊C4C2311yescharacteristic
804C4×C4⋊C4C2311yescharacteristic
805C4×C4⋊C4C2311yescharacteristic
806C4×C4⋊C4C2311yescharacteristic
807C4×C4⋊C4C2311yescharacteristic
808C4×C4⋊C4C2311yescharacteristic
809C4×C4⋊C4C2311yescharacteristic
810C4×C4⋊C4C2311yescharacteristic
811C4×C4⋊C4C2311yescharacteristic
812C4×C4⋊C4C2311yescharacteristic
813C4×C4⋊C4C2311yescharacteristic
814C4×C4⋊C4C2314yes—
815C4×C4⋊C4C2311yescharacteristic
816C4×C4⋊C4C2311yescharacteristic
817C4×C4⋊C4C2311yescharacteristic
818C4×C4⋊C4C2311yescharacteristic
819C4×C4⋊C4C2311yescharacteristic
820C4×C4⋊C4C2311yescharacteristic
821C4×C4⋊C4C2311yescharacteristic
822C4×C4⋊C4C2311yescharacteristic
823C4×C4⋊C4C2312yes—
824C4×C4⋊C4C2314yes—
825C4×C4⋊C4C2312yes—
826C4×C4⋊C4C2312yes—
827C4×C4⋊C4C2312yes—
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⋊C4C2314yes—
839C4×C4⋊C4C2314yes—
840C4×C4⋊C4C2314yes—
841C4×C4⋊C4C2312yes—
842C4×C4⋊C4C2311yescharacteristic
843C4×C4⋊C4C2311yescharacteristic
844C4×C4⋊C4C2312yes—
845C4×C4⋊C4C2311yescharacteristic
846C4×C4⋊C4C2311yescharacteristic
847C4×C4⋊C4C2311yescharacteristic
848C4×C4⋊C4C2311yescharacteristic
849C4×C22⋊C4C2311yescharacteristic
850C4×C22⋊C4C2311yescharacteristic
851C4×C22⋊C4C2311yescharacteristic
852C4×C22⋊C4C2311yescharacteristic
853C4×C22⋊C4C2311yescharacteristic
854C4×C22⋊C4C2311yescharacteristic
855C4×C22⋊C4C2311yescharacteristic
856C4×C22⋊C4C2311yescharacteristic
857C4×C22⋊C4C2311yescharacteristic
858C4×C22⋊C4C2311yescharacteristic
859C4×C22⋊C4C2311yescharacteristic
860C4×C22⋊C4C2311yescharacteristic
861C4×C22⋊C4C2314yes—
862C4×C22⋊C4C2314yes—
863C4×C22⋊C4C2314yes—
864C4×C22⋊C4C2314yes—
865C4×C22⋊C4C2311yescharacteristic
866C4×C22⋊C4C2314yes—
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
880#376C2311yescharacteristic
881#376C2311yescharacteristic
882#376C2311yescharacteristic
883#376C2311yescharacteristic
884C43C2311yescharacteristic
885C43C2311yescharacteristic
886C43C2311yescharacteristic
887C43C2311yescharacteristic
888C43C2311yescharacteristic
889C43C2311yescharacteristic
890C43C2311yescharacteristic
891C43C2311yescharacteristic
892C43C2311yescharacteristic
893C43C2311yescharacteristic
894C22×Q8C2412yes—
895C22×Q8C2411yescharacteristic
896C22×Q8C2414yes—
897C22×Q8C2414yes—
898C22×Q8C2414yes—
899C22×D4C2412yes—
900C22×D4C2412yes—
901C22×D4C2412yes—
902C22×D4C2411yescharacteristic
903C22×D4C2411yescharacteristic
904C22×D4C2411yescharacteristic
905C22×D4C2414yes—
906C22×D4C2414yes—
907C22×D4C2414yes—
908C23×C4C2411yescharacteristic
909C23×C4C2411yescharacteristic
910C23×C4C2411yescharacteristic
911C23×C4C2411yescharacteristic
912C23×C4C2411yescharacteristic
913C23×C4C2411yescharacteristic
914C23×C4C2411yescharacteristic
915C23×C4C2411yescharacteristic
916C23×C4C2411yescharacteristic
917C23×C4C2411yescharacteristic
918C23×C4C2411yescharacteristic
919C23×C4C2411yescharacteristic
920C23×C4C2411yescharacteristic
921C23×C4C2414yes—
922C23×C4C2414yes—
923C23×C4C2414yes—
924C23×C4C2414yes—
925C4⋊Q8—28no—
926C4⋊Q8—28no—
927C4⋊Q8—24no—
928C4⋊Q8—44no—
929C4⋊Q8—44no—
930C4⋊Q8—44no—
931C4⋊Q8—44no—
932C4⋊Q8—44no—
933C4⋊Q8—44no—
934C4⋊Q8—44no—
935C4⋊Q8—48no—
936#127—24no—
937#126—24no—
938#126—216no—
939#126—24no—
940#126—48no—
941#126—48no—
942#126—48no—
943#125—24no—
944#125—28no—
945#125—28no—
946#125—28no—
947#125—44no—
948#125—44no—
949#125—44no—
950#125—48no—
951#124—24no—
952#124—216no—
953#124—28no—
954#124—28no—
955#124—48no—
956#123—24no—
957#123—24no—
958#123—216no—
959#123—48no—
960#123—48no—
961#123—48no—
962C22⋊Q8—28no—
963C22⋊Q8—24no—
964C22⋊Q8—216no—
965C22⋊Q8—48no—
966C22⋊Q8—48no—
967C22⋊Q8—48no—
968C22⋊Q8—48no—
969C22⋊Q8—48no—
970C22⋊Q8—48no—
971C22⋊Q8—48no—
972C22⋊Q8—48no—
973C22⋊Q8—44no—
974C22⋊Q8—44no—
975#121—28no—
976#121—28no—
977#121—24no—
978#121—48no—
979#121—44no—
980#121—44no—
981#121—44no—
982#121—44no—
983#121—44no—
984#121—44no—
985#121—44no—
986C4×Q8—24no—
987C4×Q8—28no—
988C4×Q8—24no—
989C4×Q8—42no—
990C4×Q8—48no—
991C4×Q8—48no—
992C4×Q8—44no—
993C4×Q8—44no—
994C4×D4—24no—
995C4×D4—24no—
996C4×D4—24no—
997C4×D4—24no—
998C4×D4—24no—
999C4×D4—28no—
1000C4×D4—24no—
1001C4×D4—28no—
1002C4×D4—44no—
1003C4×D4—44no—
1004C4×D4—44no—
1005C4×D4—44no—
1006C4×D4—44no—
1007C4×D4—44no—
1008C4×D4—44no—
1009C4×D4—42no—
1010C4×D4—42no—
1011C4×D4—42no—
1012C4×D4—48no—
1013C4×D4—48no—
1014#117—24no—
1015#117—24no—
1016#117—24no—
1017#117—48no—
1018#117—44no—
1019#117—44no—
1020#117—44no—
1021#117—44no—
1022#117—44no—
1023#117#4118yes—
1024C2×C4⋊C4—44no—
1025C2×C4⋊C4—44no—
1026C2×C4⋊C4—44no—
1027C2×C4⋊C4—48no—
1028C2×C4⋊C4C2411yescharacteristic
1029C2×C4⋊C4C2412yes—
1030C2×C4⋊C4C2412yes—
1031C2×C4⋊C4C2412yes—
1032C2×C4⋊C4C2412yes—
1033C2×C4⋊C4C2412yes—
1034C2×C4⋊C4C2414yes—
1035C2×C4⋊C4C2412yes—
1036C2×C4⋊C4C2412yes—
1037C2×C4⋊C4C2412yes—
1038C2×C4⋊C4C2412yes—
1039C2×C4⋊C4C2412yes—
1040C2×C4⋊C4C2412yes—
1041C2×C4⋊C4C2412yes—
1042C2×C4⋊C4C2412yes—
1043C2×C4⋊C4C2411yescharacteristic
1044C2×C4⋊C4C2414yes—
1045C2×C4⋊C4C2411yescharacteristic
1046C2×C4⋊C4C2411yescharacteristic
1047C2×C4⋊C4C2411yescharacteristic
1048C2×C4⋊C4C2411yescharacteristic
1049C2×C4⋊C4C2411yescharacteristic
1050C2×C4⋊C4C2414yes—
1051C2×C4⋊C4C2414yes—
1052C2×C4⋊C4C2411yescharacteristic
1053C2×C4⋊C4C2412yes—
1054C2×C4⋊C4C2411yescharacteristic
1055C2×C4⋊C4C2411yescharacteristic
1056C2×C4⋊C4C2411yescharacteristic
1057C2×C4⋊C4C2412yes—
1058C2×C4⋊C4C2411yescharacteristic
1059C2×C4⋊C4C2411yescharacteristic
1060C2×C4⋊C4C2414yes—
1061C2×C4⋊C4C2411yescharacteristic
1062C2×C4⋊C4C2412yes—
1063C2×C4⋊C4C2411yescharacteristic
1064C2×C4⋊C4C2411yescharacteristic
1065C2×C4⋊C4C2414yes—
1066C2×C4⋊C4C2414yes—
1067C2×C4⋊C4C2411yescharacteristic
1068C2×C4⋊C4C2411yescharacteristic
1069C2×C4⋊C4C2412yes—
1070C2×C4⋊C4C2412yes—
1071C2×C4⋊C4C2414yes—
1072C2×C4⋊C4C2414yes—
1073C2×C4⋊C4C2414yes—
1074C2×C4⋊C4C2412yes—
1075C2×C4⋊C4C2412yes—
1076C2×C4⋊C4C2414yes—
1077C2×C4⋊C4C2414yes—
1078C2×C4⋊C4C2414yes—
1079C2×C4⋊C4C2414yes—
1080C2×C4⋊C4C2414yes—
1081C2×C4⋊C4C2414yes—
1082C2×C4⋊C4C2411yescharacteristic
1083C2×C4⋊C4C2411yescharacteristic
1084C2×C4⋊C4C2411yescharacteristic
1085C2×C4⋊C4C2414yes—
1086C2×C4⋊C4C2414yes—
1087C2×C4⋊C4C2414yes—
1088C2×C4⋊C4C2414yes—
1089C2×C4⋊C4C2411yescharacteristic
1090C2×C4⋊C4C2411yescharacteristic
1091C2×C4⋊C4C2411yescharacteristic
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⋊C4C2411yescharacteristic
1103C2×C4⋊C4C2411yescharacteristic
1104C2×C22⋊C4C2411yescharacteristic
1105C2×C22⋊C4C2411yescharacteristic
1106C2×C22⋊C4C2411yescharacteristic
1107C2×C22⋊C4C2411yescharacteristic
1108C2×C22⋊C4C2414yes—
1109C2×C22⋊C4C2411yescharacteristic
1110C2×C22⋊C4C2411yescharacteristic
1111C2×C22⋊C4C2411yescharacteristic
1112C2×C22⋊C4C2414yes—
1113C2×C22⋊C4C2411yescharacteristic
1114C2×C22⋊C4C2411yescharacteristic
1115C2×C22⋊C4C2414yes—
1116C2×C22⋊C4C2411yescharacteristic
1117C2×C22⋊C4C2411yescharacteristic
1118C2×C22⋊C4C2411yescharacteristic
1119C2×C22⋊C4C2411yescharacteristic
1120C2×C22⋊C4C2411yescharacteristic
1121C2×C22⋊C4C2414yes—
1122C2×C22⋊C4C2411yescharacteristic
1123C2×C22⋊C4C2411yescharacteristic
1124C2×C22⋊C4C2411yescharacteristic
1125C2×C22⋊C4C2411yescharacteristic
1126C2×C22⋊C4C2414yes—
1127C2×C22⋊C4C2414yes—
1128C2×C22⋊C4C2414yes—
1129C2×C22⋊C4C2414yes—
1130C2×C22⋊C4C2414yes—
1131C2×C22⋊C4C2414yes—
1132C2×C22⋊C4C2414yes—
1133C2×C22⋊C4C2414yes—
1134C2×C22⋊C4C2414yes—
1135C2×C22⋊C4C2414yes—
1136C2×C22⋊C4C2414yes—
1137C2×C22⋊C4C2414yes—
1138C2×C22⋊C4C2414yes—
1139C2×C22⋊C4C2414yes—
1140C2×C22⋊C4C2414yes—
1141C2×C22⋊C4C2414yes—
1142C2×C22⋊C4C2414yes—
1143C2×C22⋊C4C2411yescharacteristic
1144C2×C22⋊C4C2411yescharacteristic
1145C2×C22⋊C4C2411yescharacteristic
1146C2×C22⋊C4C2411yescharacteristic
1147C2×C22⋊C4C2411yescharacteristic
1148C2×C22⋊C4C2411yescharacteristic
1149C2×C22⋊C4C2414yes—
1150C2×C22⋊C4C2414yes—
1151C2×C22⋊C4C2414yes—
1152C2×C22⋊C4C2414yes—
1153C2×C22⋊C4C2414yes—
1154C2×C22⋊C4C2414yes—
1155C2×C22⋊C4C2414yes—
1156C2×C22⋊C4C2414yes—
1157C2×C22⋊C4C2414yes—
1158C2×C22⋊C4C2411yescharacteristic
1159C2×C22⋊C4C2411yescharacteristic
1160C2×C42—24no—
1161C2×C42—24no—
1162C2×C42—24no—
1163C2×C42—24no—
1164C2×C42—24no—
1165C2×C42—24no—
1166C2×C42—24no—
1167C2×C42—42no—
1168C2×C42—42no—
1169C2×C42C2411yescharacteristic
1170C2×C42C2411yescharacteristic
1171C2×C42C2411yescharacteristic
1172C2×C42C2411yescharacteristic
1173C2×C42C2411yescharacteristic
1174C2×C42C2411yescharacteristic
1175C2×C42C2411yescharacteristic
1176C2×C42C2411yescharacteristic
1177C2×C42C2411yescharacteristic
1178C2×C42C2411yescharacteristic
1179C2×C42C2411yescharacteristic
1180C2×C42C2411yescharacteristic
1181C2×C42C2411yescharacteristic
1182C2×C42C2411yescharacteristic
1183C2×C42C2411yescharacteristic
1184C2×C42C2411yescharacteristic
1185C2×C42C2411yescharacteristic
1186C2×C42C2414yes—
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×C42C2414yes—
1208C2×C42C2414yes—
1209C2×C42C2414yes—
1210C2×C42C2414yes—
1211C2×C42C2414yes—
1212C2×C42C2414yes—
1213C2×C42C2414yes—
1214C2×C42C2411yescharacteristic
1215C2×C42C2411yescharacteristic
1216C2×C42C2411yescharacteristic
1217C2×C42C2411yescharacteristic
1218C2×C42C2411yescharacteristic
1219C2×C42C2411yescharacteristic
1220C2×C42C2411yescharacteristic
1221C2×C42C2411yescharacteristic
1222C2×C42C2411yescharacteristic
1223#95C2411yescharacteristic
1224#95C2411yescharacteristic
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#95C2414yes—
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#95C2414yes—
1259#95C2414yes—
1260#95C2414yes—
1261#95C2414yes—
1262#95C2414yes—
1263#95C2414yes—
1264#95C2411yescharacteristic
1265#95C2411yescharacteristic
1266#95C2411yescharacteristic
1267#95C2411yescharacteristic
1268#95C2411yescharacteristic
1269#95C2411yescharacteristic
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—
1297C24C2511yescharacteristic
1298C24C2514yes—
1299C24C2511yescharacteristic
1300C24C2511yescharacteristic
1301C2×Q8—22no—
1302C2×Q8—24no—
1303C2×Q8—28no—
1304C2×Q8—22no—
1305C2×Q8—24no—
1306C2×Q8—28no—
1307C2×Q8—24no—
1308C2×Q8—41no—
1309C2×Q8—44no—
1310C2×Q8—44no—
1311C2×Q8—44no—
1312C2×Q8—44no—
1313C2×Q8—44no—
1314C2×Q8—44no—
1315C2×Q8—44no—
1316C2×D4—22no—
1317C2×D4—22no—
1318C2×D4—22no—
1319C2×D4—22no—
1320C2×D4—28no—
1321C2×D4—28no—
1322C2×D4—22no—
1323C2×D4—24no—
1324C2×D4—24no—
1325C2×D4—22no—
1326C2×D4—24no—
1327C2×D4—24no—
1328C2×D4—24no—
1329C2×D4—24no—
1330C2×D4—24no—
1331C2×D4—24no—
1332C2×D4—24no—
1333C2×D4—41no—
1334C2×D4—41no—
1335C2×D4—41no—
1336C2×D4—44no—
1337C2×D4—44no—
1338C2×D4—44no—
1339C2×D4—44no—
1340C2×D4—44no—
1341C2×D4—44no—
1342C2×D4—44no—
1343C22×C4—22no—
1344C22×C4—22no—
1345C22×C4—22no—
1346C22×C4—22no—
1347C22×C4—22no—
1348C22×C4—22no—
1349C22×C4—22no—
1350C22×C4—22no—
1351C22×C4—22no—
1352C22×C4—22no—
1353C22×C4—22no—
1354C22×C4—22no—
1355C22×C4—22no—
1356C22×C4—22no—
1357C22×C4—22no—
1358C22×C4—22no—
1359C22×C4—22no—
1360C22×C4—22no—
1361C22×C4—22no—
1362C22×C4—22no—
1363C22×C4—22no—
1364C22×C4—22no—
1365C22×C4—22no—
1366C22×C4—22no—
1367C22×C4—22no—
1368C22×C4—22no—
1369C22×C4—22no—
1370C22×C4—22no—
1371C22×C4—22no—
1372C22×C4—22no—
1373C22×C4—22no—
1374C22×C4—22no—
1375C22×C4—22no—
1376C22×C4—28no—
1377C22×C4—28no—
1378C22×C4—41no—
1379C22×C4—41no—
1380C22×C4—41no—
1381C22×C4—41no—
1382C22×C4—44no—
1383C22×C4—44no—
1384C22×C4—44no—
1385C22×C4—44no—
1386C22×C4—44no—
1387C22×C4—44no—
1388C22×C4—44no—
1389C22×C4—44no—
1390C22×C4—44no—
1391C22×C4—44no—
1392C22×C4C2×#4114yes—
1393C22×C42−1+414yes—
1394C22×C4C2511yescharacteristic
1395C22×C4C2511yescharacteristic
1396C22×C4C2511yescharacteristic
1397C22×C4C2511yescharacteristic
1398C22×C4C2511yescharacteristic
1399C22×C4C2511yescharacteristic
1400C22×C4C2511yescharacteristic
1401C22×C4C2511yescharacteristic
1402C22×C4C2511yescharacteristic
1403C22×C4C2514yes—
1404C22×C4C2514yes—
1405C22×C4C2511yescharacteristic
1406C22×C4C2511yescharacteristic
1407C22×C4C2511yescharacteristic
1408C22×C4C2511yescharacteristic
1409C22×C4C2514yes—
1410C22×C4C2511yescharacteristic
1411C22×C4C2514yes—
1412C22×C4C2511yescharacteristic
1413C22×C4C2514yes—
1414C22×C4C2514yes—
1415C22×C4C2514yes—
1416C22×C4C2511yescharacteristic
1417C22×C4C2511yescharacteristic
1418C22×C4C2511yescharacteristic
1419C22×C4C2511yescharacteristic
1420C22×C4C2511yescharacteristic
1421C22×C4C2511yescharacteristic
1422C22×C4C2511yescharacteristic
1423C22×C4C2511yescharacteristic
1424C22×C4C2511yescharacteristic
1425C22×C4C2511yescharacteristic
1426C22×C4C2511yescharacteristic
1427C22×C4C2511yescharacteristic
1428C22×C4C2511yescharacteristic
1429C4⋊C4—22no—
1430C4⋊C4—22no—
1431C4⋊C4—22no—
1432C4⋊C4—24no—
1433C4⋊C4—22no—
1434C4⋊C4—22no—
1435C4⋊C4—22no—
1436C4⋊C4—24no—
1437C4⋊C4—28no—
1438C4⋊C4—22no—
1439C4⋊C4—22no—
1440C4⋊C4—28no—
1441C4⋊C4—28no—
1442C4⋊C4—22no—
1443C4⋊C4—24no—
1444C4⋊C4—24no—
1445C4⋊C4—24no—
1446C4⋊C4—24no—
1447C4⋊C4—28no—
1448C4⋊C4—22no—
1449C4⋊C4—22no—
1450C4⋊C4—22no—
1451C4⋊C4—22no—
1452C4⋊C4—24no—
1453C4⋊C4—24no—
1454C4⋊C4—24no—
1455C4⋊C4—24no—
1456C4⋊C4—24no—
1457C4⋊C4—28no—
1458C4⋊C4—22no—
1459C4⋊C4—28no—
1460C4⋊C4—28no—
1461C4⋊C4—22no—
1462C4⋊C4—22no—
1463C4⋊C4—28no—
1464C4⋊C4—28no—
1465C4⋊C4—28no—
1466C4⋊C4—22no—
1467C4⋊C4—22no—
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—44no—
1478C4⋊C4—44no—
1479C4⋊C4—44no—
1480C4⋊C4—44no—
1481C4⋊C4—44no—
1482C4⋊C4—44no—
1483C4⋊C4—41no—
1484C4⋊C4—41no—
1485C4⋊C4—41no—
1486C4⋊C4—41no—
1487C4⋊C4—41no—
1488C4⋊C4—41no—
1489C4⋊C4—44no—
1490C4⋊C4—44no—
1491C4⋊C4—44no—
1492C4⋊C4—44no—
1493C4⋊C4—44no—
1494C4⋊C4—44no—
1495C4⋊C4—44no—
1496C4⋊C4—44no—
1497C4⋊C4—44no—
1498C4⋊C4—44no—
1499C4⋊C4—44no—
1500C4⋊C4—44no—
1501C4⋊C4—44no—
1502C4⋊C4—44no—
1503C4⋊C4C2×#4114yes—
1504C4⋊C4C2×#4114yes—
1505C22⋊C4—22no—
1506C22⋊C4—22no—
1507C22⋊C4—28no—
1508C22⋊C4—22no—
1509C22⋊C4—22no—
1510C22⋊C4—22no—
1511C22⋊C4—22no—
1512C22⋊C4—22no—
1513C22⋊C4—22no—
1514C22⋊C4—22no—
1515C22⋊C4—22no—
1516C22⋊C4—28no—
1517C22⋊C4—28no—
1518C22⋊C4—28no—
1519C22⋊C4—28no—
1520C22⋊C4—22no—
1521C22⋊C4—22no—
1522C22⋊C4—22no—
1523C22⋊C4—22no—
1524C22⋊C4—28no—
1525C22⋊C4—22no—
1526C22⋊C4—28no—
1527C22⋊C4—22no—
1528C22⋊C4—28no—
1529C22⋊C4—22no—
1530C22⋊C4—22no—
1531C22⋊C4—28no—
1532C22⋊C4—44no—
1533C22⋊C4—44no—
1534C22⋊C4—44no—
1535C22⋊C4—44no—
1536C22⋊C4—44no—
1537C22⋊C4—44no—
1538C22⋊C4—44no—
1539C22⋊C4—41no—
1540C22⋊C4—41no—
1541C22⋊C4—44no—
1542C22⋊C4—44no—
1543C22⋊C4—41no—
1544C22⋊C4—41no—
1545C22⋊C4—41no—
1546C22⋊C4—41no—
1547C22⋊C4—44no—
1548C22⋊C4—44no—
1549C22⋊C4—44no—
1550C22⋊C4—44no—
1551C22⋊C4—44no—
1552C22⋊C4—44no—
1553C22⋊C4—44no—
1554C22⋊C4—44no—
1555C22⋊C4—44no—
1556C22⋊C4—44no—
1557C22⋊C4—44no—
1558C22⋊C4—44no—
1559C22⋊C4C2×#4114yes—
1560C22⋊C4C2×#4114yes—
1561C42—22no—
1562C42—22no—
1563C42—22no—
1564C42—22no—
1565C42—28no—
1566C42—22no—
1567C42—22no—
1568C42—22no—
1569C42—22no—
1570C42—22no—
1571C42—22no—
1572C42—22no—
1573C42—22no—
1574C42—22no—
1575C42—22no—
1576C42—22no—
1577C42—22no—
1578C42—22no—
1579C42—22no—
1580C42—22no—
1581C42—22no—
1582C42—22no—
1583C42—22no—
1584C42—22no—
1585C42—22no—
1586C42—22no—
1587C42—22no—
1588C42—22no—
1589C42—22no—
1590C42—22no—
1591C42—22no—
1592C42—22no—
1593C42—22no—
1594C42—22no—
1595C42—22no—
1596C42—22no—
1597C42—22no—
1598C42—22no—
1599C42—41no—
1600C42—41no—
1601C42—41no—
1602C42—41no—
1603C42—44no—
1604C42—44no—
1605C42—44no—
1606C42—44no—
1607C42—44no—
1608C42—44no—
1609C42—44no—
1610C42C2×#4114yes—
1611C42C2×#4114yes—
1612C42H(5,𝔽2)14yes—
1613C42H(5,𝔽2)14yes—
1614C422−1+414yes—
1615C23—21no—
1616C23—21no—
1617C23—21no—
1618C23—21no—
1619C23—21no—
1620C23—21no—
1621C23—21no—
1622C23—21no—
1623C23—21no—
1624C23—21no—
1625C23—21no—
1626C23—21no—
1627C23—21no—
1628C23—24no—
1629C23—21no—
1630C23—24no—
1631C23—24no—
1632C23—21no—
1633C23—21no—
1634C23—24no—
1635C23—21no—
1636C23—24no—
1637C23—21no—
1638C23—24no—
1639C23—24no—
1640C23—21no—
1641C23C22×#4112yes—
1642C23C2×2−1+412yes—
1643C23C2611yescharacteristic
1644Q8—44no—
1645Q8—48no—
1646Q8—88no—
1647Q8—88no—
1648Q8—164no—
1649D4—44no—
1650D4—44no—
1651D4—44no—
1652D4—48no—
1653D4—48no—
1654D4—48no—
1655D4—88no—
1656D4—88no—
1657D4—164no—
1658C2×C4—21no—
1659C2×C4—21no—
1660C2×C4—21no—
1661C2×C4—21no—
1662C2×C4—21no—
1663C2×C4—21no—
1664C2×C4—21no—
1665C2×C4—21no—
1666C2×C4—21no—
1667C2×C4—21no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—21no—
1673C2×C4—21no—
1674C2×C4—21no—
1675C2×C4—21no—
1676C2×C4—21no—
1677C2×C4—21no—
1678C2×C4—28no—
1679C2×C4—28no—
1680C2×C4—21no—
1681C2×C4—21no—
1682C2×C4—24no—
1683C2×C4—21no—
1684C2×C4—21no—
1685C2×C4—24no—
1686C2×C4—21no—
1687C2×C4—24no—
1688C2×C4—21no—
1689C2×C4—21no—
1690C2×C4—21no—
1691C2×C4—21no—
1692C2×C4—21no—
1693C2×C4—21no—
1694C2×C4—21no—
1695C2×C4—21no—
1696C2×C4—21no—
1697C2×C4—21no—
1698C2×C4—24no—
1699C2×C4—24no—
1700C2×C4—24no—
1701C2×C4—24no—
1702C2×C4—24no—
1703C2×C4—24no—
1704C2×C4—24no—
1705C2×C4—24no—
1706C2×C4—24no—
1707C2×C4—21no—
1708C2×C4—21no—
1709C2×C4—24no—
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—21no—
1720C2×C4—21no—
1721C2×C4—21no—
1722C2×C4—21no—
1723C2×C4—21no—
1724C2×C4—24no—
1725C2×C4—24no—
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—24no—
1738C2×C4—24no—
1739C2×C4—21no—
1740C2×C4—21no—
1741C2×C4—24no—
1742C2×C4—24no—
1743C2×C4—24no—
1744C2×C4—24no—
1745C2×C4—21no—
1746C2×C4—44no—
1747C2×C4—44no—
1748C2×C4—44no—
1749C2×C4—44no—
1750C2×C4—44no—
1751C2×C4—44no—
1752C2×C4—44no—
1753C2×C4—44no—
1754C2×C4—44no—
1755C2×C4—44no—
1756C2×C4—44no—
1757C2×C4—88no—
1758C2×C4—88no—
1759C2×C4—164no—
1760C2×C4—164no—
1761C2×C4C22×#4112yes—
1762C2×C4C22×#4112yes—
1763C2×C4C22×#4112yes—
1764C2×C4C22×#4112yes—
1765C2×C4C22×#4112yes—
1766C2×C4C22×#4112yes—
1767C2×C4C2×H(5,𝔽2)12yes—
1768C2×C4C2×H(5,𝔽2)12yes—
1769C2×C4C2×H(5,𝔽2)12yes—
1770C2×C4C2×H(5,𝔽2)12yes—
1771C2×C4C2×H(5,𝔽2)12yes—
1772C2×C4C2×H(5,𝔽2)12yes—
1773C2×C4C2×2−1+412yes—
1774C2×C4C2×2−1+412yes—
1775C2×C4C2×2−1+412yes—
1776C2×C4C2×2−1+412yes—
1777C2×C4C2×2−1+412yes—
1778C2×C4#58512yes—
1779C2×C4#58512yes—
1780C22—22no—
1781C22—22no—
1782C22—22no—
1783C22—22no—
1784C22—22no—
1785C22—22no—
1786C22—41no—
1787C22—41no—
1788C22—41no—
1789C22—41no—
1790C22—41no—
1791C22—41no—
1792C22—41no—
1793C22—41no—
1794C22—41no—
1795C22—44no—
1796C22—41no—
1797C22—44no—
1798C22—41no—
1799C22—44no—
1800C22—44no—
1801C22—41no—
1802C22—41no—
1803C22—44no—
1804C22—44no—
1805C22—41no—
1806C22—44no—
1807C22—41no—
1808C22C23×#4111yescharacteristic
1809C22C22×H(5,𝔽2)11yescharacteristic
1810C22C22×H(5,𝔽2)11yescharacteristic
1811C22C22×2−1+411yescharacteristic
1812C22C22×2−1+411yescharacteristic
1813C22C2×#58511yescharacteristic
1814C22C2×#58511yescharacteristic
1815C4—22no—
1816C4—22no—
1817C4—22no—
1818C4—22no—
1819C4—22no—
1820C4—22no—
1821C4—22no—
1822C4—22no—
1823C4—22no—
1824C4—22no—
1825C4—41no—
1826C4—41no—
1827C4—41no—
1828C4—41no—
1829C4—41no—
1830C4—41no—
1831C4—41no—
1832C4—44no—
1833C4—44no—
1834C4—44no—
1835C4—41no—
1836C4—41no—
1837C4—41no—
1838C4—44no—
1839C4—41no—
1840C4—44no—
1841C4—44no—
1842C4—41no—
1843C4—41no—
1844C4—41no—
1845C4—41no—
1846C4—44no—
1847C4#351114yes—
1848C4#355214yes—
1849C4#356514yes—
1850C2—42no—
1851C2—42no—
1852C2—81no—
1853C2—84no—
1854C2C2×#356511yescharacteristic
1855C2C2×#355211yescharacteristic
1856C2C2×#351111yescharacteristic
1857C2#6280011yescharacteristic
1858C2#6280511yescharacteristic
1859C2#6283411yescharacteristic
1860C2#6283511yescharacteristic
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. #59716C2semidirect
2. #59500C2semidirect
3. #59153C2semidirect
4. #59137C2semidirect
5. #46062C2semidirect
6. #46049C2semidirect
7. #45654C2semidirect
8. #45609C2semidirect
9. #40213C2semidirect
10. #40188C2semidirect
11. #40127C2semidirect
12. #40052C2semidirect
13. #40027C2semidirect
14. #39952C2semidirect
15. #39937C2semidirect
16. #39912C2semidirect
17. #39800C2semidirect
18. #39424C2semidirect
19. #37767C2semidirect
20. #37759C2semidirect
21. #37593C2semidirect
22. #37293C2semidirect
23. #37277C2semidirect
24. #36645C2semidirect
25. #36631C2semidirect
26. #36574C2semidirect
27. #36559C2semidirect
28. #36211C2semidirect
29. #36211C2semidirect
30. #36210C2semidirect
31. #36194C2semidirect
32. #36189C2semidirect
33. #36182C2semidirect
34. #35294C2semidirect
35. #35277C2semidirect
36. #35277C2semidirect
37. #35275C2semidirect
38. #34428C2semidirect
39. C4×#529C2semidirect

Maximal subgroups

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

subgroupindex
#597162
#595002
#591532
#591372
#460622
#460492
#456542
#456092
#402132
#401882
#401272
#400522
#400272
#399522
#399372
#399122
#398002
#394242
#377672
#377592
#375932
#372932
#372772
#366452
#366312
#365742
#365592
#362112
#362102
#361942
#361892
#361822
#352942
#352772
#352752
#344282
C4×#5292