Finite Group Databasebeta

← #8108053

Subgroups — #8108053

Order 512.

4765 conjugacy classes of subgroups.

The subgroup lattice has 1825 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#53112C212yesmaximal, complemented
2#53110C212yesmaximal, complemented
3#53105C212yesmaximal, complemented
4#52989C212yesmaximal, complemented
5#52984C212yesmaximal, complemented
6#52979C212yesmaximal, complemented
7#45379C212yesmaximal, complemented
8#45376C212yesmaximal, complemented
9#45296C212yesmaximal, complemented
10#45207C212yesmaximal, complemented
11#45111C212yesmaximal, complemented
12#45100C212yesmaximal, complemented
13#42897C212yesmaximal, complemented
14#42886C212yesmaximal, complemented
15#42751C212yesmaximal, complemented
16#42742C212yesmaximal, complemented
17#42678C212yesmaximal, complemented
18#42607C212yesmaximal, complemented
19#42605C212yesmaximal, complemented
20#42592C212yesmaximal, complemented
21#42567C212yesmaximal, complemented
22#42536C212yesmaximal, complemented
23#42525C212yesmaximal, complemented
24#42523C212yesmaximal, complemented
25#36609C211yesmaximal, characteristic, complemented
26#36609C211yesmaximal, characteristic, complemented
27#36595C211yesmaximal, characteristic, complemented
28#36595C211yesmaximal, characteristic, complemented
29#36574C211yesmaximal, characteristic, complemented
30#36573C211yesmaximal, characteristic, complemented
31#36560C211yesmaximal, characteristic, complemented
32#36559C211yesmaximal, characteristic, complemented
33#35291C211yesmaximal, characteristic, complemented
34#35288C211yesmaximal, characteristic, complemented
35#35288C211yesmaximal, characteristic, complemented
36#35288C211yesmaximal, characteristic, complemented
37#35278C211yesmaximal, characteristic
38#35277C211yesmaximal, characteristic, complemented
39#34552C211yesmaximal, characteristic, complemented
40C2×#559C2212yes—
41C2×#559C2212yes—
42C2×#557C2212yes—
43C2×#554C2212yes—
44C2×#542C2212yes—
45C2×#540C2212yes—
46#2868C2211yescharacteristic
47#2867C2211yescharacteristic
48#2862C2211yescharacteristic
49#2859C2211yescharacteristic
50#2859C2211yescharacteristic
51#2859C2211yescharacteristic
52#2859C2211yescharacteristic
53#2859C2211yescharacteristic
54#2858C2211yescharacteristic
55#2858C2211yescharacteristic
56#2858C2211yescharacteristic
57#2858C2211yescharacteristic
58#2857C2211yescharacteristic
59#2857C2211yescharacteristic
60#2856C2211yescharacteristic
61#2856C2211yescharacteristic
62#2837C2214yes—
63#2832C2214yes—
64#2830C2214yes—
65#2829C2214yes—
66#2829C2214yes—
67#2827C2214yes—
68#2827C2214yes—
69#2827C2214yes—
70#2826C2214yes—
71#2824C2214yes—
72#2820C2214yes—
73#2814C2214yes—
74#2782C2214yes—
75#2781C2214yes—
76#2761C2214yes—
77#2757C2214yes—
78#2750C2214yes—
79#2750C2214yes—
80#2746C2214yes—
81#2746C2214yes—
82#2743C2214yes—
83#2741C2214yes—
84#2737C2214yes—
85#2730C2214yes—
86#2728C2214yes—
87#2724C2214yes—
88#2723C2214yes—
89#2717C2214yes—
90#2711C2214yes—
91#2711C2214yes—
92#2710C2214yes—
93#2707C2214yes—
94#2706C2214yes—
95#2701C2214yes—
96#2696C2214yes—
97#2695C2214yes—
98#2694C2214yes—
99#2694C2214yes—
100#2687C2214yes—
101#2687C2214yes—
102#2686C2214yes—
103#2674C2214yes—
104#2674C2214yes—
105#2674C2214yes—
106#2653C2214yes—
107#2651C2214yes—
108#2649C2214yes—
109#2645C2212yes—
110#2644C2212yes—
111#2644C2212yes—
112#2644C2212yes—
113#2643C2214yes—
114#2641C2212yes—
115#2640C2212yes—
116#2638C2214yes—
117#2633C2214yes—
118#2632C2214yes—
119#2625C2212yes—
120#2624C2212yes—
121#2624C2212yes—
122#2624C2212yes—
123#2623C2214yes—
124#2620C2212yes—
125#2619C2212yes—
126#2592C2212yes—
127#2592C2212yes—
128#2592C2212yes—
129#2592C2212yes—
130#2584C2212yes—
131#2584C2212yes—
132#2581C2212yes—
133#2580C2212yes—
134#2580C2212yes—
135#2580C2212yes—
136#2580C2212yes—
137#2580C2212yes—
138#2568C2212yes—
139#2566C2212yes—
140#2566C2212yes—
141#2565C2212yes—
142#2565C2212yes—
143#2563C2212yes—
144#2558C2214yes—
145#2548C2212yes—
146#2548C2212yes—
147#2548C2212yes—
148#2548C2212yes—
149#2548C2212yes—
150#2548C2212yes—
151#2546C2212yes—
152#2546C2212yes—
153#2544C2212yes—
154#2544C2212yes—
155#2544C2212yes—
156#2544C2212yes—
157#2538C2212yes—
158#2538C2212yes—
159#2536C2214yes—
160#2514C2212yes—
161#2513C2212yes—
162#2513C2212yes—
163#2513C2212yes—
164#2513C2212yes—
165#2513C2212yes—
166#2513C2212yes—
167#2513C2212yes—
168#2512C2212yes—
169#2512C2212yes—
170#2509C2212yes—
171#2509C2212yes—
172#2509C2212yes—
173#2508C2212yes—
174#2508C2212yes—
175#2508C2212yes—
176#2506C2212yes—
177#2506C2212yes—
178#2506C2212yes—
179#2506C2212yes—
180#2495C2212yes—
181#2494C2212yes—
182#2491C2212yes—
183#2491C2214yes—
184#2491C2212yes—
185#2490C2212yes—
186#2490C2212yes—
187#2490C2212yes—
188#2489C2212yes—
189#2488C2214yes—
190#2486C2214yes—
191#2481C2214yes—
192#2468C2214yes—
193#2458C2214yes—
194#2454C2212yes—
195#2454C2212yes—
196#2454C2212yes—
197#2454C2212yes—
198#2454C2212yes—
199#2454C2212yes—
200#2454C2212yes—
201#2454C2212yes—
202#2454C2212yes—
203#2453C2212yes—
204#2453C2212yes—
205#2453C2212yes—
206#2452C2212yes—
207#2452C2212yes—
208#2452C2212yes—
209#2452C2212yes—
210#2452C2212yes—
211#2452C2212yes—
212#2448C2212yes—
213#2448C2212yes—
214#2448C2212yes—
215#2448C2212yes—
216#2448C2212yes—
217#2448C2212yes—
218#2448C2212yes—
219#2447C2212yes—
220#2447C2212yes—
221#2447C2212yes—
222#2447C2212yes—
223#2447C2212yes—
224#2447C2212yes—
225#2447C2212yes—
226#2445C2212yes—
227#2445C2212yes—
228#2445C2212yes—
229#2445C2212yes—
230#2445C2212yes—
231#2445C2212yes—
232#2445C2212yes—
233#2445C2212yes—
234#2445C2212yes—
235#2445C2212yes—
236#2445C2212yes—
237#2445C2212yes—
238#2443C2214yes—
239#2428C2212yes—
240#2428C2212yes—
241#2428C2212yes—
242#2428C2212yes—
243#2427C2212yes—
244#2427C2212yes—
245#2427C2212yes—
246#2426C2214yes—
247#2426C2212yes—
248#2426C2212yes—
249#2426C2212yes—
250#2425C2214yes—
251#2422C2212yes—
252#2422C2212yes—
253#2421C2212yes—
254#2420C2212yes—
255#2420C2212yes—
256#2420C2212yes—
257#2419C2214yes—
258#2402C2211yescharacteristic
259#2402C2211yescharacteristic
260#2402C2211yescharacteristic
261#2402C2211yescharacteristic
262#2402C2211yescharacteristic
263#2402C2211yescharacteristic
264#2399C2211yescharacteristic
265#2399C2211yescharacteristic
266#2399C2211yescharacteristic
267#2399C2211yescharacteristic
268#2399C2211yescharacteristic
269#2399C2211yescharacteristic
270#2396C2211yescharacteristic
271#2396C2211yescharacteristic
272#2396C2211yescharacteristic
273#2396C2211yescharacteristic
274#2396C2211yescharacteristic
275#2396C2211yescharacteristic
276#2396C2211yescharacteristic
277#2396C2211yescharacteristic
278#2396C2211yescharacteristic
279#2396C2211yescharacteristic
280#2396C2211yescharacteristic
281#2396C2211yescharacteristic
282#2370C2212yes—
283#2370C2212yes—
284#2367C2212yes—
285#2367C2212yes—
286#2367C2212yes—
287#2367C2212yes—
288#2366C2212yes—
289#2366C2212yes—
290#2366C2212yes—
291#2366C2212yes—
292#2365C2212yes—
293#2365C2212yes—
294#2357C2212yes—
295#2357C2212yes—
296#2351C2212yes—
297#2349C2212yes—
298#2349C2212yes—
299#2349C2212yes—
300D4×C4⋊C4C2212yes—
301D4×C4⋊C4C2212yes—
302#2328C2212yes—
303#2326C2212yes—
304#2324C2212yes—
305#2324C2212yes—
306#2324C2212yes—
307#2323C2212yes—
308#2320C2212yes—
309#2319C2212yes—
310#2319C2212yes—
311#2319C2212yes—
312C4×C4⋊Q8C2211yescharacteristic
313C4×C4⋊Q8C2211yescharacteristic
314C4×C4⋊Q8C2211yescharacteristic
315C4×C4⋊Q8C2211yescharacteristic
316C4×C4⋊Q8C2211yescharacteristic
317C4×C4⋊Q8C2211yescharacteristic
318C4×#127C2211yescharacteristic
319C4×#127C2211yescharacteristic
320C4×#127C2211yescharacteristic
321C4×#127C2211yescharacteristic
322C4×#127C2211yescharacteristic
323C4×#127C2211yescharacteristic
324C42×Q8C2211yescharacteristic
325C42×Q8C2211yescharacteristic
326C42×Q8C2211yescharacteristic
327C42×Q8C2211yescharacteristic
328C4×#117C2211yescharacteristic
329C4×#117C2211yescharacteristic
330C4×#117C2211yescharacteristic
331#559—48no—
332#559—48no—
333#557—48no—
334#554—48no—
335#542—48no—
336#540—48no—
337C2×C4⋊Q8C2311yescharacteristic
338C2×C4⋊Q8C2311yescharacteristic
339C2×C4⋊Q8C2312yes—
340C2×C4⋊Q8C2312yes—
341C2×C4⋊Q8C2312yes—
342C2×C4⋊Q8C2314yes—
343C2×#127C2311yescharacteristic
344C2×#127C2311yescharacteristic
345C2×#127C2312yes—
346C2×#127C2312yes—
347C2×#127C2312yes—
348C2×#127C2312yes—
349C2×#127C2312yes—
350C2×#127C2312yes—
351C2×#126C2314yes—
352C2×#125C2312yes—
353C2×#125C2314yes—
354C2×#125C2312yes—
355C2×#125C2312yes—
356C2×#125C2312yes—
357C2×#125C2312yes—
358C2×#125C2314yes—
359C2×#124C2312yes—
360C2×#124C2314yes—
361C2×#124C2312yes—
362C2×#124C2312yes—
363C2×#124C2312yes—
364C2×#124C2312yes—
365C2×#124C2312yes—
366C2×#124C2312yes—
367C2×#124C2312yes—
368C2×#124C2314yes—
369C2×#124C2314yes—
370C2×#123C2314yes—
371C2×#123C2314yes—
372C2×#123C2314yes—
373C2×#123C2314yes—
374C2×#123C2314yes—
375C2×#123C2314yes—
376C2×#123C2314yes—
377C2×C22⋊Q8C2312yes—
378C2×C22⋊Q8C2312yes—
379C2×C22⋊Q8C2314yes—
380C2×C22⋊Q8C2314yes—
381C2×C22⋊Q8C2314yes—
382C2×C22⋊Q8C2314yes—
383C2×#121C2312yes—
384C2×#121C2312yes—
385C2×#121C2312yes—
386C2×#121C2312yes—
387C2×#121C2312yes—
388C2×#121C2312yes—
389C2×#121C2314yes—
390C2×#121C2314yes—
391C2×C4×Q8C2312yes—
392C2×C4×Q8C2311yescharacteristic
393C2×C4×Q8C2311yescharacteristic
394C2×C4×Q8C2311yescharacteristic
395C2×C4×Q8C2311yescharacteristic
396C2×C4×Q8C2312yes—
397C2×C4×Q8C2312yes—
398C2×C4×Q8C2312yes—
399C2×C4×Q8C2312yes—
400C2×C4×Q8C2312yes—
401C2×C4×Q8C2311yescharacteristic
402C2×C4×Q8C2311yescharacteristic
403C2×C4×Q8C2311yescharacteristic
404C2×C4×Q8C2311yescharacteristic
405C2×C4×Q8C2311yescharacteristic
406C2×C4×Q8C2311yescharacteristic
407C2×C4×Q8C2311yescharacteristic
408C2×C4×Q8C2314yes—
409C2×C4×Q8C2311yescharacteristic
410C2×C4×D4C2312yes—
411C2×C4×D4C2312yes—
412C2×C4×D4C2312yes—
413C2×C4×D4C2312yes—
414C2×C4×D4C2312yes—
415C2×C4×D4C2312yes—
416C2×C4×D4C2312yes—
417C2×C4×D4C2312yes—
418C2×C4×D4C2312yes—
419C2×C4×D4C2312yes—
420C2×C4×D4C2312yes—
421C2×C4×D4C2312yes—
422C2×C4×D4C2312yes—
423C2×C4×D4C2312yes—
424C2×C4×D4C2312yes—
425C2×C4×D4C2312yes—
426C2×C4×D4C2312yes—
427C2×C4×D4C2312yes—
428C2×C4×D4C2314yes—
429C2×C4×D4C2314yes—
430C2×#117C2311yescharacteristic
431C2×#117C2311yescharacteristic
432C2×#117C2311yescharacteristic
433C2×#117C2311yescharacteristic
434C2×#117C2311yescharacteristic
435C2×#117C2311yescharacteristic
436C22×C4⋊C4C2314yes—
437C22×C42C2311yescharacteristic
438#401C2314yes—
439#400C2314yes—
440#400C2314yes—
441#400C2314yes—
442#400C2314yes—
443#400C2314yes—
444#400C2314yes—
445#400C2314yes—
446#400C2314yes—
447#400C2314yes—
448#400C2311yescharacteristic
449#400C2311yescharacteristic
450#400C2311yescharacteristic
451#400C2311yescharacteristic
452#400C2311yescharacteristic
453#400C2311yescharacteristic
454#400C2311yescharacteristic
455#400C2311yescharacteristic
456#400C2311yescharacteristic
457#400C2311yescharacteristic
458#400C2311yescharacteristic
459#400C2311yescharacteristic
460#399C2314yes—
461#399C2314yes—
462#399C2314yes—
463#399C2314yes—
464#399C2311yescharacteristic
465#399C2314yes—
466#399C2314yes—
467#399C2314yes—
468#399C2314yes—
469#399C2311yescharacteristic
470#399C2311yescharacteristic
471#399C2311yescharacteristic
472#398C2314yes—
473#398C2314yes—
474#398C2314yes—
475#398C2314yes—
476#398C2311yescharacteristic
477#398C2311yescharacteristic
478#398C2311yescharacteristic
479#398C2314yes—
480#398C2311yescharacteristic
481#398C2314yes—
482#398C2314yes—
483#398C2311yescharacteristic
484#398C2311yescharacteristic
485#398C2311yescharacteristic
486#398C2311yescharacteristic
487#398C2311yescharacteristic
488#398C2311yescharacteristic
489#398C2311yescharacteristic
490#398C2311yescharacteristic
491#398C2311yescharacteristic
492#398C2311yescharacteristic
493#398C2311yescharacteristic
494#398C2311yescharacteristic
495#398C2311yescharacteristic
496#398C2311yescharacteristic
497#398C2311yescharacteristic
498#398C2311yescharacteristic
499#398C2311yescharacteristic
500#398C2311yescharacteristic
501#398C2311yescharacteristic
502#398C2311yescharacteristic
503#397C2314yes—
504#397C2314yes—
505#397C2314yes—
506#397C2314yes—
507#397C2314yes—
508#397C2314yes—
509#397C2314yes—
510#397C2314yes—
511#397C2314yes—
512#397C2314yes—
513#397C2314yes—
514#397C2314yes—
515#397C2314yes—
516#397C2314yes—
517#397C2314yes—
518#397C2314yes—
519#397C2314yes—
520#397C2314yes—
521#397C2314yes—
522#397C2314yes—
523#397C2314yes—
524#397C2314yes—
525#397C2314yes—
526#397C2314yes—
527#396C2314yes—
528#396C2314yes—
529#396C2314yes—
530#396C2314yes—
531#396C2314yes—
532#396C2314yes—
533#396C2314yes—
534#396C2311yescharacteristic
535#396C2314yes—
536#396C2314yes—
537#396C2311yescharacteristic
538#396C2314yes—
539#396C2314yes—
540#396C2311yescharacteristic
541#396C2311yescharacteristic
542#396C2311yescharacteristic
543#396C2311yescharacteristic
544#396C2311yescharacteristic
545#396C2311yescharacteristic
546#395C2311yescharacteristic
547#395C2314yes—
548#395C2311yescharacteristic
549#395C2311yescharacteristic
550#395C2311yescharacteristic
551#395C2311yescharacteristic
552#395C2311yescharacteristic
553#395C2311yescharacteristic
554#395C2311yescharacteristic
555#395C2311yescharacteristic
556#395C2311yescharacteristic
557#395C2311yescharacteristic
558#395C2311yescharacteristic
559#394C2314yes—
560#394C2314yes—
561#394C2314yes—
562#394C2314yes—
563#394C2314yes—
564#394C2314yes—
565#394C2314yes—
566#394C2314yes—
567#394C2314yes—
568#394C2314yes—
569#394C2314yes—
570#394C2314yes—
571#394C2314yes—
572#394C2314yes—
573#394C2314yes—
574#394C2314yes—
575#394C2314yes—
576#394C2314yes—
577#394C2314yes—
578#394C2314yes—
579#394C2314yes—
580#394C2314yes—
581#394C2314yes—
582#394C2314yes—
583#394C2314yes—
584#394C2314yes—
585#393C2314yes—
586#393C2314yes—
587#393C2311yescharacteristic
588#393C2314yes—
589#393C2314yes—
590#393C2314yes—
591#393C2314yes—
592#393C2314yes—
593#393C2311yescharacteristic
594#393C2311yescharacteristic
595#393C2311yescharacteristic
596#392C2314yes—
597#392C2314yes—
598#391C2312yes—
599#391C2312yes—
600#391C2312yes—
601#391C2312yes—
602#391C2312yes—
603#391C2312yes—
604#391C2314yes—
605#391C2314yes—
606#391C2312yes—
607#391C2312yes—
608#391C2312yes—
609#391C2312yes—
610#391C2312yes—
611#391C2312yes—
612#390C2312yes—
613#390C2312yes—
614#390C2312yes—
615#390C2312yes—
616#390C2312yes—
617#390C2312yes—
618#390C2312yes—
619#390C2312yes—
620#390C2312yes—
621#390C2312yes—
622#390C2312yes—
623#390C2312yes—
624#390C2312yes—
625#390C2312yes—
626#390C2312yes—
627#390C2312yes—
628#390C2312yes—
629#390C2312yes—
630#390C2314yes—
631#390C2314yes—
632#390C2314yes—
633#390C2312yes—
634#390C2312yes—
635#390C2312yes—
636#390C2312yes—
637#390C2312yes—
638#390C2312yes—
639#390C2312yes—
640#390C2312yes—
641#390C2312yes—
642#390C2314yes—
643#390C2312yes—
644#390C2312yes—
645#390C2312yes—
646#390C2312yes—
647#390C2312yes—
648#390C2312yes—
649#390C2312yes—
650#390C2312yes—
651#390C2312yes—
652#390C2312yes—
653#390C2312yes—
654#390C2312yes—
655#390C2312yes—
656#390C2314yes—
657#390C2314yes—
658#390C2314yes—
659#389C2312yes—
660#389C2312yes—
661#389C2312yes—
662#389C2312yes—
663#389C2312yes—
664#389C2312yes—
665#389C2312yes—
666#389C2312yes—
667#389C2312yes—
668#389C2312yes—
669#389C2312yes—
670#389C2312yes—
671#389C2312yes—
672#389C2312yes—
673#389C2312yes—
674#389C2312yes—
675#389C2312yes—
676#389C2312yes—
677#389C2312yes—
678#389C2312yes—
679#389C2312yes—
680#389C2314yes—
681#389C2312yes—
682#389C2312yes—
683#389C2312yes—
684#389C2312yes—
685#389C2312yes—
686#389C2312yes—
687#389C2312yes—
688#389C2314yes—
689#389C2312yes—
690#389C2312yes—
691#389C2312yes—
692#389C2314yes—
693#389C2314yes—
694#389C2314yes—
695#389C2312yes—
696#389C2312yes—
697#389C2312yes—
698#389C2312yes—
699#389C2312yes—
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#387C2314yes—
726#387C2314yes—
727#387C2314yes—
728#387C2314yes—
729#387C2314yes—
730#387C2314yes—
731#387C2314yes—
732#387C2314yes—
733#387C2314yes—
734#387C2314yes—
735#387C2314yes—
736#386C2314yes—
737#386C2314yes—
738#386C2314yes—
739#386C2314yes—
740#386C2314yes—
741#386C2314yes—
742#386C2314yes—
743#386C2314yes—
744#386C2314yes—
745#386C2314yes—
746#386C2314yes—
747#386C2314yes—
748#386C2314yes—
749#386C2314yes—
750#386C2314yes—
751#385C2314yes—
752#385C2314yes—
753#385C2314yes—
754#385C2314yes—
755#385C2314yes—
756#385C2314yes—
757#385C2314yes—
758#385C2314yes—
759#385C2314yes—
760#385C2314yes—
761#385C2314yes—
762#385C2314yes—
763#385C2314yes—
764#385C2314yes—
765#385C2314yes—
766#385C2314yes—
767#385C2314yes—
768#385C2314yes—
769#385C2314yes—
770#384C2311yescharacteristic
771#384C2311yescharacteristic
772#384C2311yescharacteristic
773#384C2311yescharacteristic
774#384C2312yes—
775#384C2312yes—
776#384C2312yes—
777#383C2314yes—
778#382C2312yes—
779#382C2312yes—
780#382C2314yes—
781#382C2312yes—
782#382C2312yes—
783#382C2312yes—
784#382C2312yes—
785#382C2312yes—
786#382C2314yes—
787#381C2314yes—
788#381C2314yes—
789#381C2314yes—
790#381C2314yes—
791#381C2314yes—
792#380C2314yes—
793#380C2314yes—
794#380C2314yes—
795#380C2314yes—
796#380C2314yes—
797#380C2312yes—
798#380C2312yes—
799#380C2312yes—
800#380C2312yes—
801#380C2314yes—
802#380C2314yes—
803#380C2314yes—
804C4×C4⋊C4C2312yes—
805C4×C4⋊C4C2312yes—
806C4×C4⋊C4C2312yes—
807C4×C4⋊C4C2312yes—
808C4×C4⋊C4C2312yes—
809C4×C4⋊C4C2312yes—
810C4×C4⋊C4C2312yes—
811C4×C4⋊C4C2312yes—
812C4×C4⋊C4C2312yes—
813C4×C4⋊C4C2312yes—
814C4×C4⋊C4C2312yes—
815C4×C4⋊C4C2312yes—
816C4×C4⋊C4C2311yescharacteristic
817C4×C4⋊C4C2311yescharacteristic
818C4×C4⋊C4C2311yescharacteristic
819C4×C4⋊C4C2311yescharacteristic
820C4×C4⋊C4C2311yescharacteristic
821C4×C4⋊C4C2311yescharacteristic
822C4×C4⋊C4C2311yescharacteristic
823C4×C4⋊C4C2311yescharacteristic
824C4×C4⋊C4C2311yescharacteristic
825C4×C4⋊C4C2311yescharacteristic
826C4×C4⋊C4C2311yescharacteristic
827C4×C4⋊C4C2311yescharacteristic
828C4×C4⋊C4C2314yes—
829C4×C4⋊C4C2311yescharacteristic
830C4×C4⋊C4C2311yescharacteristic
831C4×C4⋊C4C2311yescharacteristic
832C4×C4⋊C4C2311yescharacteristic
833C4×C4⋊C4C2311yescharacteristic
834C4×C4⋊C4C2311yescharacteristic
835C4×C4⋊C4C2311yescharacteristic
836C4×C4⋊C4C2311yescharacteristic
837C4×C4⋊C4C2311yescharacteristic
838C4×C4⋊C4C2311yescharacteristic
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×C4⋊C4C2311yescharacteristic
856C4×C4⋊C4C2311yescharacteristic
857C4×C4⋊C4C2311yescharacteristic
858C4×C4⋊C4C2311yescharacteristic
859C4×C4⋊C4C2311yescharacteristic
860C4×C4⋊C4C2311yescharacteristic
861C4×C4⋊C4C2311yescharacteristic
862C4×C4⋊C4C2311yescharacteristic
863C4×C4⋊C4C2311yescharacteristic
864C4×C4⋊C4C2311yescharacteristic
865C4×C22⋊C4C2314yes—
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
879#376C2311yescharacteristic
880#376C2311yescharacteristic
881#376C2311yescharacteristic
882#376C2311yescharacteristic
883#376C2311yescharacteristic
884#376C2311yescharacteristic
885C2×#95C2314yes—
886C43C2311yescharacteristic
887C43C2311yescharacteristic
888C43C2311yescharacteristic
889C43C2311yescharacteristic
890C43C2311yescharacteristic
891C43C2311yescharacteristic
892C22×Q8C2412yes—
893C22×Q8C2412yes—
894C22×Q8C2411yescharacteristic
895C22×Q8C2411yescharacteristic
896C22×Q8C2411yescharacteristic
897C22×Q8C2414yes—
898C22×Q8C2411yescharacteristic
899C22×D4C2412yes—
900C22×D4C2412yes—
901C22×D4C2412yes—
902C22×D4C2412yes—
903C22×D4C2412yes—
904C22×D4C2412yes—
905C22×D4C2414yes—
906C22×D4C2414yes—
907C22×D4C2414yes—
908C22×D4C2414yes—
909C22×D4C2414yes—
910C22×D4C2414yes—
911C23×C4C2411yescharacteristic
912C23×C4C2411yescharacteristic
913C23×C4C2411yescharacteristic
914C23×C4C2414yes—
915C23×C4C2414yes—
916C23×C4C2414yes—
917C23×C4C2414yes—
918C23×C4C2414yes—
919C23×C4C2414yes—
920C4⋊Q8—28no—
921C4⋊Q8—24no—
922C4⋊Q8—24no—
923C4⋊Q8—44no—
924C4⋊Q8—44no—
925C4⋊Q8—48no—
926#127—28no—
927#127—24no—
928#127—24no—
929#127—44no—
930#127—44no—
931#127—44no—
932#127—44no—
933#127—44no—
934#126—48no—
935#125—28no—
936#125—44no—
937#125—44no—
938#125—44no—
939#125—48no—
940#125—44no—
941#125—48no—
942#124—28no—
943#124—44no—
944#124—44no—
945#124—44no—
946#124—44no—
947#124—44no—
948#124—44no—
949#124—44no—
950#124—48no—
951#124—48no—
952#124—48no—
953#123—48no—
954#123—48no—
955#123—48no—
956#123—48no—
957#123—48no—
958#123—48no—
959#123—48no—
960C22⋊Q8—48no—
961C22⋊Q8—48no—
962C22⋊Q8—48no—
963C22⋊Q8—44no—
964C22⋊Q8—44no—
965C22⋊Q8—48no—
966#121—48no—
967#121—48no—
968#121—44no—
969#121—44no—
970#121—44no—
971#121—44no—
972#121—44no—
973#121—44no—
974C4×Q8—24no—
975C4×Q8—24no—
976C4×Q8—28no—
977C4×Q8—24no—
978C4×Q8—24no—
979C4×Q8—42no—
980C4×Q8—42no—
981C4×Q8—42no—
982C4×Q8—42no—
983C4×Q8—42no—
984C4×Q8—42no—
985C4×Q8—42no—
986C4×Q8—42no—
987C4×Q8—48no—
988C4×Q8—44no—
989C4×Q8—44no—
990C4×Q8—44no—
991C4×Q8—44no—
992C4×Q8—44no—
993C4×D4—28no—
994C4×D4—44no—
995C4×D4—44no—
996C4×D4—44no—
997C4×D4—44no—
998C4×D4—44no—
999C4×D4—44no—
1000C4×D4—44no—
1001C4×D4—44no—
1002C4×D4—44no—
1003C4×D4—44no—
1004C4×D4—44no—
1005C4×D4—44no—
1006C4×D4—44no—
1007C4×D4—44no—
1008C4×D4—44no—
1009C4×D4—44no—
1010C4×D4—44no—
1011C4×D4—48no—
1012C4×D4—48no—
1013#117—24no—
1014#117—24no—
1015#117—42no—
1016#117—42no—
1017#117—42no—
1018#117—42no—
1019C2×C4⋊C4—48no—
1020C2×C4⋊C4C2411yescharacteristic
1021C2×C4⋊C4C2414yes—
1022C2×C4⋊C4C2411yescharacteristic
1023C2×C4⋊C4C2411yescharacteristic
1024C2×C4⋊C4C2411yescharacteristic
1025C2×C4⋊C4C2411yescharacteristic
1026C2×C4⋊C4C2411yescharacteristic
1027C2×C4⋊C4C2411yescharacteristic
1028C2×C4⋊C4C2412yes—
1029C2×C4⋊C4C2412yes—
1030C2×C4⋊C4C2412yes—
1031C2×C4⋊C4C2412yes—
1032C2×C4⋊C4C2412yes—
1033C2×C4⋊C4C2412yes—
1034C2×C4⋊C4C2412yes—
1035C2×C4⋊C4C2412yes—
1036C2×C4⋊C4C2412yes—
1037C2×C4⋊C4C2412yes—
1038C2×C4⋊C4C2412yes—
1039C2×C4⋊C4C2412yes—
1040C2×C4⋊C4C2411yescharacteristic
1041C2×C4⋊C4C2414yes—
1042C2×C4⋊C4C2411yescharacteristic
1043C2×C4⋊C4C2411yescharacteristic
1044C2×C4⋊C4C2411yescharacteristic
1045C2×C4⋊C4C2411yescharacteristic
1046C2×C4⋊C4C2411yescharacteristic
1047C2×C4⋊C4C2411yescharacteristic
1048C2×C4⋊C4C2414yes—
1049C2×C4⋊C4C2411yescharacteristic
1050C2×C4⋊C4C2411yescharacteristic
1051C2×C4⋊C4C2414yes—
1052C2×C4⋊C4C2412yes—
1053C2×C4⋊C4C2412yes—
1054C2×C4⋊C4C2412yes—
1055C2×C4⋊C4C2412yes—
1056C2×C4⋊C4C2414yes—
1057C2×C4⋊C4C2414yes—
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⋊C4C2414yes—
1067C2×C4⋊C4C2414yes—
1068C2×C4⋊C4C2414yes—
1069C2×C4⋊C4C2414yes—
1070C2×C4⋊C4C2414yes—
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⋊C4C2411yescharacteristic
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⋊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⋊C4C2414yes—
1110C2×C22⋊C4C2414yes—
1111C2×C22⋊C4C2414yes—
1112C2×C22⋊C4C2411yescharacteristic
1113C2×C22⋊C4C2411yescharacteristic
1114C2×C22⋊C4C2411yescharacteristic
1115C2×C22⋊C4C2411yescharacteristic
1116C2×C22⋊C4C2411yescharacteristic
1117C2×C22⋊C4C2411yescharacteristic
1118C2×C22⋊C4C2411yescharacteristic
1119C2×C22⋊C4C2411yescharacteristic
1120C2×C22⋊C4C2414yes—
1121C2×C22⋊C4C2414yes—
1122C2×C22⋊C4C2414yes—
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⋊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⋊C4C2414yes—
1144C2×C22⋊C4C2414yes—
1145C2×C22⋊C4C2414yes—
1146C2×C22⋊C4C2414yes—
1147C2×C22⋊C4C2414yes—
1148C2×C22⋊C4C2414yes—
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⋊C4C2414yes—
1159C2×C42—24no—
1160C2×C42C2411yescharacteristic
1161C2×C42C2411yescharacteristic
1162C2×C42C2411yescharacteristic
1163C2×C42C2411yescharacteristic
1164C2×C42C2411yescharacteristic
1165C2×C42C2411yescharacteristic
1166C2×C42C2411yescharacteristic
1167C2×C42C2411yescharacteristic
1168C2×C42C2411yescharacteristic
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×C42C2414yes—
1183C2×C42C2411yescharacteristic
1184C2×C42C2411yescharacteristic
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×C42C2414yes—
1199C2×C42C2414yes—
1200C2×C42C2414yes—
1201C2×C42C2414yes—
1202C2×C42C2414yes—
1203C2×C42C2411yescharacteristic
1204C2×C42C2411yescharacteristic
1205C2×C42C2411yescharacteristic
1206#95C2411yescharacteristic
1207#95C2414yes—
1208#95C2414yes—
1209#95C2414yes—
1210#95C2411yescharacteristic
1211#95C2411yescharacteristic
1212#95C2411yescharacteristic
1213#95C2411yescharacteristic
1214#95C2411yescharacteristic
1215#95C2411yescharacteristic
1216#95C2411yescharacteristic
1217#95C2411yescharacteristic
1218#95C2411yescharacteristic
1219#95C2411yescharacteristic
1220#95C2411yescharacteristic
1221#95C2411yescharacteristic
1222#95C2411yescharacteristic
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#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#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—
1284C24C2511yescharacteristic
1285C24C2514yes—
1286C24C2514yes—
1287C2×Q8—24no—
1288C2×Q8—22no—
1289C2×Q8—22no—
1290C2×Q8—22no—
1291C2×Q8—22no—
1292C2×Q8—24no—
1293C2×Q8—28no—
1294C2×Q8—24no—
1295C2×Q8—24no—
1296C2×Q8—24no—
1297C2×Q8—24no—
1298C2×Q8—41no—
1299C2×Q8—41no—
1300C2×Q8—41no—
1301C2×Q8—41no—
1302C2×Q8—41no—
1303C2×Q8—41no—
1304C2×Q8—41no—
1305C2×Q8—41no—
1306C2×Q8—44no—
1307C2×Q8—44no—
1308C2×D4—24no—
1309C2×D4—24no—
1310C2×D4—24no—
1311C2×D4—24no—
1312C2×D4—28no—
1313C2×D4—28no—
1314C2×D4—24no—
1315C2×D4—24no—
1316C2×D4—24no—
1317C2×D4—24no—
1318C2×D4—24no—
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—44no—
1329C2×D4—44no—
1330C2×D4—44no—
1331C2×D4—44no—
1332C2×D4—44no—
1333C2×D4—44no—
1334C2×D4—44no—
1335C2×D4—44no—
1336C2×D4—44no—
1337C2×D4—44no—
1338C2×D4—44no—
1339C2×D4—44no—
1340C2×D4—44no—
1341C2×D4—44no—
1342C2×D4—44no—
1343C2×D4—44no—
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—28no—
1354C22×C4—44no—
1355C22×C4—44no—
1356C22×C4—44no—
1357C22×C4—44no—
1358C22×C4—44no—
1359C22×C4—44no—
1360C22×C4—44no—
1361C22×C4—44no—
1362C22×C4—44no—
1363C22×C4—44no—
1364C22×C4—44no—
1365C22×C4—44no—
1366C22×C4—44no—
1367C22×C4—44no—
1368C22×C4—44no—
1369C22×C4—44no—
1370C22×C4—44no—
1371C22×C4C2511yescharacteristic
1372C22×C4C2511yescharacteristic
1373C22×C4C2511yescharacteristic
1374C22×C4C2511yescharacteristic
1375C22×C4C2511yescharacteristic
1376C22×C4C2514yes—
1377C22×C4C2514yes—
1378C22×C4C2511yescharacteristic
1379C22×C4C2511yescharacteristic
1380C22×C4C2511yescharacteristic
1381C22×C4C2511yescharacteristic
1382C22×C4C2511yescharacteristic
1383C22×C4C2511yescharacteristic
1384C22×C4C2511yescharacteristic
1385C22×C4C2511yescharacteristic
1386C22×C4C2511yescharacteristic
1387C22×C4C2511yescharacteristic
1388C22×C4C2514yes—
1389C22×C4C2514yes—
1390C22×C4C2511yescharacteristic
1391C22×C4C2511yescharacteristic
1392C22×C4C2511yescharacteristic
1393C22×C4C2511yescharacteristic
1394C22×C4C2514yes—
1395C22×C4C2514yes—
1396C22×C4C2511yescharacteristic
1397C22×C4C2511yescharacteristic
1398C22×C4C2511yescharacteristic
1399C22×C4C2511yescharacteristic
1400C22×C4C2511yescharacteristic
1401C22×C4C2511yescharacteristic
1402C22×C4C2511yescharacteristic
1403C22×C4C2511yescharacteristic
1404C22×C4C2511yescharacteristic
1405C22×C4C2511yescharacteristic
1406C22×C4C2511yescharacteristic
1407C4⋊C4—22no—
1408C4⋊C4—28no—
1409C4⋊C4—22no—
1410C4⋊C4—22no—
1411C4⋊C4—22no—
1412C4⋊C4—22no—
1413C4⋊C4—24no—
1414C4⋊C4—22no—
1415C4⋊C4—22no—
1416C4⋊C4—24no—
1417C4⋊C4—24no—
1418C4⋊C4—24no—
1419C4⋊C4—24no—
1420C4⋊C4—24no—
1421C4⋊C4—22no—
1422C4⋊C4—22no—
1423C4⋊C4—22no—
1424C4⋊C4—22no—
1425C4⋊C4—22no—
1426C4⋊C4—22no—
1427C4⋊C4—22no—
1428C4⋊C4—28no—
1429C4⋊C4—22no—
1430C4⋊C4—22no—
1431C4⋊C4—28no—
1432C4⋊C4—28no—
1433C4⋊C4—24no—
1434C4⋊C4—24no—
1435C4⋊C4—24no—
1436C4⋊C4—24no—
1437C4⋊C4—24no—
1438C4⋊C4—24no—
1439C4⋊C4—24no—
1440C4⋊C4—24no—
1441C4⋊C4—24no—
1442C4⋊C4—24no—
1443C4⋊C4—44no—
1444C4⋊C4—44no—
1445C4⋊C4—41no—
1446C4⋊C4—41no—
1447C4⋊C4—41no—
1448C4⋊C4—41no—
1449C4⋊C4—41no—
1450C4⋊C4—41no—
1451C4⋊C4—41no—
1452C4⋊C4—41no—
1453C4⋊C4—41no—
1454C4⋊C4—41no—
1455C4⋊C4—41no—
1456C4⋊C4—41no—
1457C4⋊C4—41no—
1458C4⋊C4—41no—
1459C4⋊C4—41no—
1460C4⋊C4—41no—
1461C4⋊C4—41no—
1462C4⋊C4—41no—
1463C4⋊C4—41no—
1464C4⋊C4—41no—
1465C4⋊C4—41no—
1466C4⋊C4—41no—
1467C4⋊C4—41no—
1468C4⋊C4—41no—
1469C4⋊C4—41no—
1470C4⋊C4—41no—
1471C4⋊C4—41no—
1472C4⋊C4—41no—
1473C4⋊C4—41no—
1474C4⋊C4—41no—
1475C4⋊C4—41no—
1476C4⋊C4—41no—
1477C4⋊C4—44no—
1478C4⋊C4—44no—
1479C4⋊C4—44no—
1480C4⋊C4—44no—
1481C4⋊C4—44no—
1482C4⋊C4—44no—
1483C4⋊C4—44no—
1484C4⋊C4—44no—
1485C4⋊C4—44no—
1486C4⋊C4—44no—
1487C4⋊C4—44no—
1488C4⋊C4—44no—
1489C4⋊C4—44no—
1490C4⋊C4—44no—
1491C4⋊C4—44no—
1492C22⋊C4—22no—
1493C22⋊C4—22no—
1494C22⋊C4—22no—
1495C22⋊C4—22no—
1496C22⋊C4—28no—
1497C22⋊C4—28no—
1498C22⋊C4—28no—
1499C22⋊C4—41no—
1500C22⋊C4—41no—
1501C22⋊C4—41no—
1502C22⋊C4—41no—
1503C22⋊C4—41no—
1504C22⋊C4—41no—
1505C22⋊C4—41no—
1506C22⋊C4—41no—
1507C22⋊C4—44no—
1508C22⋊C4—44no—
1509C22⋊C4—44no—
1510C22⋊C4—44no—
1511C22⋊C4—44no—
1512C22⋊C4—44no—
1513C22⋊C4—44no—
1514C22⋊C4—44no—
1515C22⋊C4—44no—
1516C22⋊C4—44no—
1517C22⋊C4—44no—
1518C22⋊C4—44no—
1519C22⋊C4—44no—
1520C22⋊C4—44no—
1521C22⋊C4—44no—
1522C22⋊C4—44no—
1523C22⋊C4—44no—
1524C22⋊C4—44no—
1525C22⋊C4—44no—
1526C22⋊C4—44no—
1527C22⋊C4—44no—
1528C22⋊C4—44no—
1529C22⋊C4—44no—
1530C22⋊C4—44no—
1531C22⋊C4—44no—
1532C22⋊C4—44no—
1533C22⋊C4—44no—
1534C22⋊C4—44no—
1535C22⋊C4—44no—
1536C22⋊C4—44no—
1537C22⋊C4—44no—
1538C22⋊C4—44no—
1539C22⋊C4—44no—
1540C22⋊C4—44no—
1541C22⋊C4—44no—
1542C22⋊C4—44no—
1543C22⋊C4—44no—
1544C22⋊C4—44no—
1545C22⋊C4—44no—
1546C42—22no—
1547C42—22no—
1548C42—22no—
1549C42—22no—
1550C42—22no—
1551C42—22no—
1552C42—22no—
1553C42—28no—
1554C42—22no—
1555C42—22no—
1556C42—22no—
1557C42—22no—
1558C42—22no—
1559C42—22no—
1560C42—22no—
1561C42—22no—
1562C42—22no—
1563C42—22no—
1564C42—22no—
1565C42—22no—
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—44no—
1585C42—44no—
1586C42—44no—
1587C42—44no—
1588C42—44no—
1589C42H(5,𝔽2)14yes—
1590C42H(5,𝔽2)14yes—
1591C422−1+414yes—
1592C23—21no—
1593C23—24no—
1594C23—21no—
1595C23—24no—
1596C23—24no—
1597C23—24no—
1598C23—21no—
1599C23—24no—
1600C23—24no—
1601C23—21no—
1602C23—24no—
1603C23—24no—
1604C23—24no—
1605C23—24no—
1606C23—21no—
1607C23—21no—
1608C23—21no—
1609C23—24no—
1610C23—24no—
1611C23—24no—
1612C23—24no—
1613C23C2611yescharacteristic
1614Q8—44no—
1615Q8—44no—
1616Q8—44no—
1617Q8—44no—
1618Q8—48no—
1619Q8—48no—
1620Q8—88no—
1621D4—48no—
1622D4—48no—
1623D4—48no—
1624D4—48no—
1625D4—48no—
1626D4—48no—
1627D4—88no—
1628D4—88no—
1629D4—164no—
1630D4—164no—
1631D4—164no—
1632D4—164no—
1633C2×C4—21no—
1634C2×C4—21no—
1635C2×C4—21no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—24no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—24no—
1656C2×C4—21no—
1657C2×C4—21no—
1658C2×C4—21no—
1659C2×C4—21no—
1660C2×C4—21no—
1661C2×C4—24no—
1662C2×C4—24no—
1663C2×C4—24no—
1664C2×C4—24no—
1665C2×C4—24no—
1666C2×C4—21no—
1667C2×C4—21no—
1668C2×C4—24no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—24no—
1673C2×C4—24no—
1674C2×C4—21no—
1675C2×C4—21no—
1676C2×C4—21no—
1677C2×C4—21no—
1678C2×C4—21no—
1679C2×C4—21no—
1680C2×C4—21no—
1681C2×C4—21no—
1682C2×C4—21no—
1683C2×C4—21no—
1684C2×C4—21no—
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—21no—
1696C2×C4—21no—
1697C2×C4—21no—
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—21no—
1713C2×C4—21no—
1714C2×C4—21no—
1715C2×C4—21no—
1716C2×C4—24no—
1717C2×C4—24no—
1718C2×C4—24no—
1719C2×C4—21no—
1720C2×C4—21no—
1721C2×C4—21no—
1722C2×C4—24no—
1723C2×C4—24no—
1724C2×C4—24no—
1725C2×C4—24no—
1726C2×C4—24no—
1727C2×C4—21no—
1728C2×C4—44no—
1729C2×C4—44no—
1730C2×C4—44no—
1731C2×C4—88no—
1732C2×C4—164no—
1733C2×C4—164no—
1734C2×C4—164no—
1735C2×C4—164no—
1736C2×C4—164no—
1737C2×C4C2×H(5,𝔽2)12yes—
1738C2×C4C2×H(5,𝔽2)12yes—
1739C2×C4C2×H(5,𝔽2)12yes—
1740C2×C4C2×H(5,𝔽2)12yes—
1741C2×C4C2×H(5,𝔽2)12yes—
1742C2×C4C2×H(5,𝔽2)12yes—
1743C2×C4C2×2−1+412yes—
1744C2×C4C2×2−1+412yes—
1745C2×C4C2×2−1+412yes—
1746C2×C4#58512yes—
1747C2×C4#58512yes—
1748C2×C4#58512yes—
1749C2×C4#58512yes—
1750C22—41no—
1751C22—44no—
1752C22—44no—
1753C22—41no—
1754C22—41no—
1755C22—44no—
1756C22—44no—
1757C22—44no—
1758C22—44no—
1759C22—44no—
1760C22—44no—
1761C22—41no—
1762C22—44no—
1763C22—44no—
1764C22—44no—
1765C22—44no—
1766C22—41no—
1767C22—41no—
1768C22—44no—
1769C22—44no—
1770C22—41no—
1771C22C22×H(5,𝔽2)11yescharacteristic
1772C22C22×H(5,𝔽2)11yescharacteristic
1773C22C22×2−1+411yescharacteristic
1774C22C2×#58511yescharacteristic
1775C22C2×#58511yescharacteristic
1776C22C2×#58511yescharacteristic
1777C22C2×#58511yescharacteristic
1778C4—22no—
1779C4—22no—
1780C4—22no—
1781C4—22no—
1782C4—41no—
1783C4—41no—
1784C4—41no—
1785C4—44no—
1786C4—44no—
1787C4—41no—
1788C4—41no—
1789C4—41no—
1790C4—44no—
1791C4—44no—
1792C4—41no—
1793C4—41no—
1794C4—41no—
1795C4—41no—
1796C4—44no—
1797C4—41no—
1798C4—41no—
1799C4—44no—
1800C4—41no—
1801C4—41no—
1802C4—41no—
1803C4—41no—
1804C4—41no—
1805C4—41no—
1806C4—41no—
1807C4—41no—
1808C4—41no—
1809C4—41no—
1810C4—41no—
1811C4#355414yes—
1812C4#355414yes—
1813C4#355714yes—
1814C2—81no—
1815C2—84no—
1816C2—84no—
1817C2C2×#355711yescharacteristic
1818C2C2×#355411yescharacteristic
1819C2C2×#355411yescharacteristic
1820C2#6283411yescharacteristic
1821C2#6283611yescharacteristic
1822C2#6283611yescharacteristic
1823C2#6283911yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#35278C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #53112C2semidirect
2. #53110C2semidirect
3. #53105C2semidirect
4. #52989C2semidirect
5. #52984C2semidirect
6. #52979C2semidirect
7. #45379C2semidirect
8. #45376C2semidirect
9. #45296C2semidirect
10. #45207C2semidirect
11. #45111C2semidirect
12. #45100C2semidirect
13. #42897C2semidirect
14. #42886C2semidirect
15. #42751C2semidirect
16. #42742C2semidirect
17. #42678C2semidirect
18. #42607C2semidirect
19. #42605C2semidirect
20. #42592C2semidirect
21. #42567C2semidirect
22. #42536C2semidirect
23. #42525C2semidirect
24. #42523C2semidirect
25. #36609C2semidirect
26. #36609C2semidirect
27. #36595C2semidirect
28. #36595C2semidirect
29. #36574C2semidirect
30. #36573C2semidirect
31. #36560C2semidirect
32. #36559C2semidirect
33. #35291C2semidirect
34. #35288C2semidirect
35. #35288C2semidirect
36. #35288C2semidirect
38. #35277C2semidirect
39. #34552C2semidirect

Maximal subgroups

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

subgroupindex
#531122
#531102
#531052
#529892
#529842
#529792
#453792
#453762
#452962
#452072
#451112
#451002
#428972
#428862
#427512
#427422
#426782
#426072
#426052
#425922
#425672
#425362
#425252
#425232
#366092
#365952
#365742
#365732
#365602
#365592
#352912
#352882
#352782
#352772
#345522