Finite Group Databasebeta

← #7712234

Subgroups — #7712234

Order 512.

4629 conjugacy classes of subgroups.

The subgroup lattice has 1806 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59695C212yesmaximal, complemented
2#59481C212yesmaximal, complemented
3#59324C212yesmaximal, complemented
4#59306C212yesmaximal
5#46117C212yesmaximal, complemented
6#46116C212yesmaximal, complemented
7#45677C212yesmaximal
8#45634C212yesmaximal, complemented
9#40215C212yesmaximal, complemented
10#40190C212yesmaximal, complemented
11#40100C212yesmaximal, complemented
12#40079C212yesmaximal, complemented
13#40000C212yesmaximal, complemented
14#39979C212yesmaximal, complemented
15#39939C212yesmaximal, complemented
16#39914C212yesmaximal, complemented
17#39673C212yesmaximal, complemented
18#39553C212yesmaximal, complemented
19#37955C212yesmaximal, complemented
20#37947C212yesmaximal, complemented
21#37598C212yesmaximal, complemented
22#37385C212yesmaximal, complemented
23#37378C212yesmaximal
24#36645C211yesmaximal, characteristic, complemented
25#36635C211yesmaximal, characteristic, complemented
26#36608C211yesmaximal, characteristic, complemented
27#36598C211yesmaximal, characteristic, complemented
28#36151C211yesmaximal, characteristic, complemented
29#36151C211yesmaximal, characteristic, complemented
30#36151C211yesmaximal, characteristic, complemented
31#36134C211yesmaximal, characteristic, complemented
32#36129C211yesmaximal, characteristic, complemented
33#36129C211yesmaximal, characteristic, complemented
34#35322C211yesmaximal, characteristic, complemented
35#35319C211yesmaximal, characteristic, complemented
36#35284C211yesmaximal, characteristic, complemented
37#35281C211yesmaximal, characteristic, complemented
38#34430C212yesmaximal, complemented
39C4×#529C211yesmaximal, characteristic
40C2×#541C2212yes—
41C2×#533C2211yescharacteristic
42C2×#533C2211yescharacteristic
43C2×#533C2211yescharacteristic
44C2×#533C2211yescharacteristic
45C2×#533C2211yescharacteristic
46C22×C4⋊Q8C2211yescharacteristic
47C2×#529C2211yescharacteristic
48#2868C2211yescharacteristic
49#2868C2211yescharacteristic
50#2868C2211yescharacteristic
51#2864C2212yes—
52#2863C2212yes—
53#2863C2212yes—
54#2862C2211yescharacteristic
55#2862C2211yescharacteristic
56#2862C2211yescharacteristic
57#2862C2211yescharacteristic
58#2862C2211yescharacteristic
59#2862C2211yescharacteristic
60#2859C2211yescharacteristic
61#2859C2212yes—
62#2859C2212yes—
63#2857C2212yes—
64#2857C2211yescharacteristic
65#2857C2211yescharacteristic
66#2857C2211yescharacteristic
67#2857C2211yescharacteristic
68#2857C2211yescharacteristic
69#2857C2212yes—
70#2857C2212yes—
71#2857C2212yes—
72#2857C2211yescharacteristic
73#2855C2212yes—
74#2855C2212yes—
75#2851C2212yes—
76#2839C2214yes—
77#2838C2214yes—
78#2802C2214yes—
79#2796C2214yes—
80#2792C2214yes—
81#2791C2214yes—
82#2787C2214yes—
83#2777C2214yes—
84#2776C2214yes—
85#2775C2214yes—
86#2774C2214yes—
87#2774C2214yes—
88#2770C2214yes—
89#2769C2214yes—
90#2767C2214yes—
91#2766C2214yes—
92#2758C2214yes—
93#2755C2214yes—
94#2747C2214yes—
95#2746C2214yes—
96#2745C2214yes—
97#2744C2214yes—
98#2742C2214yes—
99#2739C2214yes—
100#2738C2214yes—
101#2737C2214yes—
102#2726C2214yes—
103#2725C2214yes—
104#2722C2214yes—
105#2715C2214yes—
106#2707C2214yes—
107#2704C2214yes—
108#2695C2214yes—
109#2691C2214yes—
110#2666C2214yes—
111#2660C2212yes—
112#2660C2212yes—
113#2655C2214yes—
114#2654C2214yes—
115#2650C2214yes—
116#2647C2212yes—
117#2642C2212yes—
118#2629C2212yes—
119#2621C2212yes—
120#2621C2212yes—
121#2621C2212yes—
122#2612C2214yes—
123#2606C2214yes—
124#2597C2214yes—
125#2594C2214yes—
126#2590C2214yes—
127#2590C2214yes—
128#2588C2214yes—
129#2586C2214yes—
130#2585C2214yes—
131#2582C2212yes—
132#2581C2212yes—
133#2581C2212yes—
134#2581C2212yes—
135#2578C2214yes—
136#2577C2214yes—
137#2574C2214yes—
138#2571C2212yes—
139#2570C2212yes—
140#2570C2212yes—
141#2568C2212yes—
142#2567C2212yes—
143#2567C2212yes—
144#2565C2212yes—
145#2565C2212yes—
146#2565C2212yes—
147#2565C2212yes—
148#2552C2212yes—
149#2550C2212yes—
150#2550C2212yes—
151#2546C2212yes—
152#2546C2212yes—
153#2542C2212yes—
154#2538C2212yes—
155#2536C2212yes—
156#2536C2212yes—
157#2536C2212yes—
158#2531C2214yes—
159#2530C2214yes—
160#2529C2214yes—
161#2525C2214yes—
162#2522C2214yes—
163#2520C2214yes—
164#2514C2212yes—
165#2514C2212yes—
166#2514C2212yes—
167#2514C2212yes—
168#2514C2212yes—
169#2514C2212yes—
170#2511C2212yes—
171#2511C2212yes—
172#2507C2212yes—
173#2507C2212yes—
174#2506C2212yes—
175#2506C2212yes—
176#2506C2212yes—
177#2506C2212yes—
178#2502C2212yes—
179#2502C2212yes—
180#2499C2212yes—
181#2499C2212yes—
182#2499C2212yes—
183#2499C2212yes—
184#2497C2212yes—
185#2497C2212yes—
186#2496C2212yes—
187#2496C2212yes—
188#2496C2212yes—
189#2496C2212yes—
190#2492C2212yes—
191#2492C2212yes—
192#2489C2212yes—
193#2489C2212yes—
194#2489C2212yes—
195#2489C2212yes—
196#2489C2212yes—
197#2489C2212yes—
198#2453C2212yes—
199#2453C2212yes—
200#2453C2212yes—
201#2453C2212yes—
202#2453C2212yes—
203#2453C2212yes—
204#2451C2212yes—
205#2451C2212yes—
206#2446C2212yes—
207#2446C2212yes—
208#2446C2212yes—
209#2446C2212yes—
210#2446C2212yes—
211#2446C2212yes—
212#2442C2212yes—
213#2442C2212yes—
214#2441C2212yes—
215#2441C2212yes—
216#2439C2212yes—
217#2439C2212yes—
218#2434C2212yes—
219#2434C2212yes—
220#2429C2212yes—
221#2429C2212yes—
222#2429C2212yes—
223#2429C2212yes—
224#2429C2212yes—
225#2429C2212yes—
226#2423C2212yes—
227#2423C2212yes—
228#2421C2212yes—
229#2421C2212yes—
230#2421C2212yes—
231#2421C2212yes—
232#2421C2212yes—
233#2421C2212yes—
234#2417C2212yes—
235#2417C2212yes—
236#2415C2212yes—
237#2415C2212yes—
238#2415C2212yes—
239#2415C2212yes—
240#2415C2212yes—
241#2415C2212yes—
242#2409C2212yes—
243#2409C2212yes—
244#2383C2214yes—
245#2382C2214yes—
246#2373C2214yes—
247#2370C2214yes—
248#2365C2212yes—
249#2365C2212yes—
250#2362C2212yes—
251#2362C2212yes—
252#2362C2212yes—
253#2362C2212yes—
254#2362C2212yes—
255#2362C2212yes—
256#2360C2212yes—
257#2360C2212yes—
258#2356C2212yes—
259#2356C2212yes—
260#2356C2212yes—
261#2355C2212yes—
262#2355C2212yes—
263#2354C2212yes—
264#2352C2212yes—
265#2352C2212yes—
266#2351C2212yes—
267#2351C2212yes—
268#2351C2212yes—
269Q8×C4⋊C4C2212yes—
270Q8×C22⋊C4C2212yes—
271Q8×C22⋊C4C2212yes—
272#2336C2214yes—
273#2334C2214yes—
274#2334C2214yes—
275#2330C2212yes—
276#2330C2214yes—
277#2327C2212yes—
278#2327C2212yes—
279#2327C2212yes—
280#2317C2212yes—
281#2317C2212yes—
282#2314C2212yes—
283C4×C4⋊Q8C2211yescharacteristic
284C4×C4⋊Q8C2211yescharacteristic
285C4×C4⋊Q8C2211yescharacteristic
286C4×C4⋊Q8C2212yes—
287C4×C4⋊Q8C2211yescharacteristic
288C4×C4⋊Q8C2212yes—
289C4×C4⋊Q8C2212yes—
290C4×C4⋊Q8C2212yes—
291C4×C4⋊Q8C2211yescharacteristic
292C4×C4⋊Q8C2211yescharacteristic
293C4×#125C2211yescharacteristic
294C4×#125C2212yes—
295C4×#125C2211yescharacteristic
296C4×#126C2211yescharacteristic
297C4×#126C2211yescharacteristic
298C4×#126C2211yescharacteristic
299C4×#126C2211yescharacteristic
300C4×#124C2211yescharacteristic
301C4×#124C2211yescharacteristic
302C4×C22⋊Q8C2212yes—
303C4×C22⋊Q8C2212yes—
304C4×C22⋊Q8C2211yescharacteristic
305C4×C22⋊Q8C2211yescharacteristic
306C4×#123C2211yescharacteristic
307C4×#123C2211yescharacteristic
308C4×#123C2211yescharacteristic
309C4×#123C2211yescharacteristic
310C4×#121C2211yescharacteristic
311C4×#121C2211yescharacteristic
312#2298C2211yescharacteristic
313#2298C2211yescharacteristic
314#2295C2212yes—
315#2295C2212yes—
316#2295C2211yescharacteristic
317#2293C2211yescharacteristic
318#2290C2211yescharacteristic
319#2290C2211yescharacteristic
320#2285C2212yes—
321#2285C2212yes—
322#2283C2211yescharacteristic
323#2283C2212yes—
324C42×Q8C2211yescharacteristic
325C42×D4C2211yescharacteristic
326C42×D4C2211yescharacteristic
327C42×D4C2211yescharacteristic
328C4×#117C2211yescharacteristic
329C4×#117C2211yescharacteristic
330C2×C43C2211yescharacteristic
331C23×Q8C2312yes—
332#541—216no—
333#533—44no—
334#533—44no—
335#533—44no—
336#533—44no—
337#533—44no—
338C2×C4⋊Q8—44no—
339C2×C4⋊Q8C2312yes—
340C2×C4⋊Q8C2312yes—
341C2×C4⋊Q8C2311yescharacteristic
342C2×C4⋊Q8C2311yescharacteristic
343C2×C4⋊Q8C2311yescharacteristic
344C2×C4⋊Q8C2311yescharacteristic
345C2×C4⋊Q8C2311yescharacteristic
346C2×C4⋊Q8C2311yescharacteristic
347C2×C4⋊Q8C2312yes—
348C2×C4⋊Q8C2312yes—
349C2×C4⋊Q8C2312yes—
350C2×C4⋊Q8C2312yes—
351C2×C4⋊Q8C2312yes—
352C2×C4⋊Q8C2312yes—
353C2×C4⋊Q8C2312yes—
354#529—28no—
355C2×#126C2311yescharacteristic
356C2×#126C2311yescharacteristic
357C2×#126C2314yes—
358C2×#126C2314yes—
359C2×#125C2311yescharacteristic
360C2×#125C2312yes—
361C2×#125C2314yes—
362C2×#125C2314yes—
363C2×#125C2312yes—
364C2×#125C2312yes—
365C2×#125C2312yes—
366C2×#125C2312yes—
367C2×#125C2312yes—
368C2×#124C2311yescharacteristic
369C2×#123C2311yescharacteristic
370C2×#123C2311yescharacteristic
371C2×C22⋊Q8C2312yes—
372C2×C22⋊Q8C2312yes—
373C2×C22⋊Q8C2312yes—
374C2×C22⋊Q8C2311yescharacteristic
375C2×C22⋊Q8C2312yes—
376C2×C22⋊Q8C2312yes—
377C2×C22⋊Q8C2312yes—
378C2×C22⋊Q8C2312yes—
379C2×C22⋊Q8C2312yes—
380C2×C22⋊Q8C2312yes—
381C2×C22⋊Q8C2312yes—
382C2×C22⋊Q8C2312yes—
383C2×C22⋊Q8C2312yes—
384C2×C22⋊Q8C2312yes—
385C2×C22⋊Q8C2312yes—
386C2×C22⋊Q8C2312yes—
387C2×C22⋊Q8C2312yes—
388C2×#121C2311yescharacteristic
389C2×C4×Q8C2312yes—
390C2×C4×Q8C2312yes—
391C2×C4×Q8C2312yes—
392C2×C4×Q8C2311yescharacteristic
393C2×C4×Q8C2311yescharacteristic
394C2×C4×Q8C2312yes—
395C2×C4×Q8C2312yes—
396C2×C4×Q8C2312yes—
397C2×C4×Q8C2312yes—
398C2×C4×Q8C2312yes—
399C2×C4×Q8C2312yes—
400C2×C4×Q8C2312yes—
401C2×C4×Q8C2312yes—
402C2×C4×Q8C2312yes—
403C2×C4×Q8C2312yes—
404C2×C4×Q8C2311yescharacteristic
405C2×C4×Q8C2312yes—
406C2×C4×Q8C2312yes—
407C2×C4×Q8C2312yes—
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×#117C2311yescharacteristic
418C2×#117C2311yescharacteristic
419C2×#117C2311yescharacteristic
420C2×#117C2312yes—
421C2×#117C2312yes—
422C2×#117C2312yes—
423C2×#117C2312yes—
424C2×#117C2312yes—
425C2×#117C2311yescharacteristic
426C22×C4⋊C4C2312yes—
427C22×C4⋊C4C2312yes—
428C22×C42C2311yescharacteristic
429C22×C42C2311yescharacteristic
430C22×C42C2311yescharacteristic
431C22×C42C2311yescharacteristic
432C22×C42C2311yescharacteristic
433C22×C42C2311yescharacteristic
434C22×C42C2311yescharacteristic
435C22×C42C2311yescharacteristic
436C22×C42C2311yescharacteristic
437#401C2314yes—
438#401C2314yes—
439#400C2314yes—
440#400C2314yes—
441#400C2314yes—
442#400C2314yes—
443#400C2314yes—
444#400C2314yes—
445#400C2314yes—
446#400C2314yes—
447#400C2314yes—
448#400C2314yes—
449#400C2314yes—
450#400C2314yes—
451#400C2314yes—
452#400C2314yes—
453#400C2314yes—
454#400C2314yes—
455#400C2314yes—
456#400C2314yes—
457#400C2314yes—
458#400C2314yes—
459#400C2314yes—
460#399C2314yes—
461#399C2314yes—
462#398C2314yes—
463#398C2314yes—
464#398C2314yes—
465#398C2314yes—
466#398C2314yes—
467#398C2314yes—
468#398C2314yes—
469#398C2314yes—
470#398C2314yes—
471#398C2314yes—
472#398C2314yes—
473#398C2314yes—
474#398C2314yes—
475#398C2314yes—
476#398C2314yes—
477#398C2314yes—
478#398C2314yes—
479#398C2314yes—
480#398C2314yes—
481#398C2314yes—
482#398C2314yes—
483#398C2314yes—
484#398C2314yes—
485#398C2314yes—
486#398C2314yes—
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#396C2314yes—
500#396C2314yes—
501#396C2314yes—
502#396C2314yes—
503#396C2314yes—
504#396C2314yes—
505#395C2314yes—
506#395C2314yes—
507#395C2314yes—
508#395C2314yes—
509#395C2314yes—
510#395C2314yes—
511#395C2314yes—
512#394C2314yes—
513#394C2314yes—
514#394C2314yes—
515#393C2314yes—
516#393C2314yes—
517#391C2312yes—
518#391C2312yes—
519#391C2312yes—
520#391C2312yes—
521#391C2312yes—
522#391C2312yes—
523#391C2312yes—
524#391C2312yes—
525#391C2312yes—
526#391C2312yes—
527#391C2312yes—
528#391C2312yes—
529#391C2312yes—
530#391C2312yes—
531#391C2312yes—
532#391C2312yes—
533#391C2312yes—
534#391C2312yes—
535#391C2312yes—
536#391C2312yes—
537#391C2312yes—
538#391C2312yes—
539#391C2312yes—
540#391C2312yes—
541#391C2314yes—
542#391C2314yes—
543#391C2312yes—
544#391C2312yes—
545#391C2312yes—
546#391C2312yes—
547#391C2312yes—
548#391C2312yes—
549#391C2312yes—
550#391C2311yescharacteristic
551#391C2314yes—
552#391C2314yes—
553#391C2312yes—
554#391C2312yes—
555#391C2314yes—
556#391C2312yes—
557#391C2312yes—
558#391C2312yes—
559#391C2311yescharacteristic
560#390C2311yescharacteristic
561#390C2314yes—
562#390C2311yescharacteristic
563#389C2311yescharacteristic
564#389C2311yescharacteristic
565#389C2312yes—
566#389C2312yes—
567#389C2311yescharacteristic
568#389C2311yescharacteristic
569#389C2312yes—
570#389C2312yes—
571#389C2312yes—
572#389C2312yes—
573#389C2312yes—
574#389C2312yes—
575#389C2312yes—
576#389C2312yes—
577#389C2312yes—
578#389C2312yes—
579#389C2312yes—
580#389C2314yes—
581#389C2314yes—
582#389C2314yes—
583#389C2314yes—
584#389C2314yes—
585#389C2314yes—
586#389C2314yes—
587#389C2314yes—
588#389C2312yes—
589#389C2314yes—
590#389C2314yes—
591#389C2314yes—
592#389C2314yes—
593#389C2314yes—
594#389C2314yes—
595#389C2314yes—
596#389C2314yes—
597#389C2312yes—
598#389C2312yes—
599#389C2314yes—
600#389C2314yes—
601#389C2314yes—
602#389C2314yes—
603#389C2314yes—
604#389C2314yes—
605#389C2314yes—
606#389C2314yes—
607#389C2312yes—
608#389C2312yes—
609#389C2312yes—
610#389C2312yes—
611#389C2312yes—
612#389C2312yes—
613#389C2312yes—
614#389C2312yes—
615#389C2312yes—
616#389C2312yes—
617#389C2312yes—
618#389C2312yes—
619#389C2314yes—
620#389C2314yes—
621#388C2311yescharacteristic
622#388C2311yescharacteristic
623#388C2311yescharacteristic
624#388C2311yescharacteristic
625#388C2311yescharacteristic
626#388C2311yescharacteristic
627#388C2311yescharacteristic
628#388C2311yescharacteristic
629#388C2311yescharacteristic
630#388C2311yescharacteristic
631#388C2311yescharacteristic
632#388C2311yescharacteristic
633#388C2314yes—
634#388C2314yes—
635#388C2314yes—
636#388C2314yes—
637#388C2314yes—
638#388C2314yes—
639#388C2314yes—
640#388C2311yescharacteristic
641#388C2311yescharacteristic
642#388C2314yes—
643#388C2314yes—
644#388C2314yes—
645#388C2314yes—
646#388C2314yes—
647#388C2314yes—
648#388C2314yes—
649#388C2314yes—
650#388C2314yes—
651#388C2314yes—
652#388C2314yes—
653#388C2311yescharacteristic
654#388C2311yescharacteristic
655#387C2311yescharacteristic
656#387C2311yescharacteristic
657#387C2311yescharacteristic
658#387C2311yescharacteristic
659#387C2311yescharacteristic
660#387C2311yescharacteristic
661#387C2311yescharacteristic
662#387C2311yescharacteristic
663#387C2311yescharacteristic
664#387C2311yescharacteristic
665#387C2311yescharacteristic
666#387C2311yescharacteristic
667#387C2314yes—
668#387C2311yescharacteristic
669#387C2314yes—
670#387C2311yescharacteristic
671#387C2311yescharacteristic
672#387C2311yescharacteristic
673#387C2314yes—
674#387C2314yes—
675#387C2314yes—
676#387C2314yes—
677#387C2314yes—
678#387C2314yes—
679#387C2314yes—
680#387C2314yes—
681#387C2314yes—
682#387C2314yes—
683#387C2314yes—
684#387C2314yes—
685#387C2314yes—
686#387C2314yes—
687#387C2314yes—
688#387C2314yes—
689#387C2314yes—
690#387C2314yes—
691#387C2314yes—
692#387C2314yes—
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#387C2314yes—
710#387C2314yes—
711#387C2314yes—
712#387C2314yes—
713#387C2314yes—
714#387C2314yes—
715#387C2314yes—
716#387C2314yes—
717#387C2314yes—
718#387C2314yes—
719#386C2311yescharacteristic
720#386C2314yes—
721#386C2314yes—
722#386C2311yescharacteristic
723#386C2311yescharacteristic
724#386C2311yescharacteristic
725#385C2314yes—
726#385C2314yes—
727#385C2314yes—
728#385C2314yes—
729#385C2311yescharacteristic
730#385C2314yes—
731#385C2314yes—
732#385C2314yes—
733#385C2314yes—
734#385C2311yescharacteristic
735#385C2311yescharacteristic
736#385C2311yescharacteristic
737#384C2311yescharacteristic
738#384C2311yescharacteristic
739#384C2312yes—
740#384C2312yes—
741#384C2312yes—
742#384C2312yes—
743#384C2312yes—
744#384C2312yes—
745#384C2312yes—
746#384C2312yes—
747#384C2312yes—
748#384C2312yes—
749#384C2312yes—
750#384C2312yes—
751#384C2314yes—
752#383C2311yescharacteristic
753#383C2311yescharacteristic
754#383C2314yes—
755#383C2314yes—
756#383C2314yes—
757#383C2314yes—
758#382C2312yes—
759#382C2311yescharacteristic
760#382C2311yescharacteristic
761#382C2312yes—
762#382C2312yes—
763#382C2312yes—
764#382C2312yes—
765#382C2314yes—
766#382C2312yes—
767#382C2312yes—
768#382C2312yes—
769#382C2312yes—
770#382C2312yes—
771#382C2312yes—
772#382C2314yes—
773#382C2312yes—
774#382C2314yes—
775#382C2312yes—
776#382C2314yes—
777#381C2314yes—
778#381C2311yescharacteristic
779#381C2311yescharacteristic
780#380C2312yes—
781#380C2312yes—
782#380C2314yes—
783#380C2314yes—
784#380C2312yes—
785#380C2312yes—
786#380C2312yes—
787#380C2312yes—
788#380C2314yes—
789#380C2312yes—
790#380C2312yes—
791#380C2314yes—
792#380C2314yes—
793#380C2314yes—
794#380C2312yes—
795#380C2312yes—
796#380C2312yes—
797#380C2312yes—
798#380C2311yescharacteristic
799#380C2311yescharacteristic
800C4×C4⋊C4C2311yescharacteristic
801C4×C4⋊C4C2311yescharacteristic
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⋊C4C2312yes—
813C4×C4⋊C4C2312yes—
814C4×C4⋊C4C2311yescharacteristic
815C4×C4⋊C4C2311yescharacteristic
816C4×C4⋊C4C2311yescharacteristic
817C4×C4⋊C4C2311yescharacteristic
818C4×C4⋊C4C2314yes—
819C4×C4⋊C4C2311yescharacteristic
820C4×C4⋊C4C2314yes—
821C4×C4⋊C4C2311yescharacteristic
822C4×C4⋊C4C2311yescharacteristic
823C4×C4⋊C4C2311yescharacteristic
824C4×C4⋊C4C2314yes—
825C4×C4⋊C4C2314yes—
826C4×C4⋊C4C2314yes—
827C4×C4⋊C4C2314yes—
828C4×C4⋊C4C2312yes—
829C4×C4⋊C4C2312yes—
830C4×C4⋊C4C2312yes—
831C4×C4⋊C4C2312yes—
832C4×C4⋊C4C2312yes—
833C4×C4⋊C4C2312yes—
834C4×C4⋊C4C2312yes—
835C4×C4⋊C4C2312yes—
836C4×C4⋊C4C2312yes—
837C4×C4⋊C4C2312yes—
838C4×C4⋊C4C2314yes—
839C4×C4⋊C4C2314yes—
840C4×C4⋊C4C2314yes—
841C4×C4⋊C4C2314yes—
842C4×C4⋊C4C2314yes—
843C4×C4⋊C4C2311yescharacteristic
844C4×C4⋊C4C2311yescharacteristic
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⋊C4C2311yescharacteristic
865C4×C22⋊C4C2311yescharacteristic
866C4×C22⋊C4C2311yescharacteristic
867C4×C22⋊C4C2311yescharacteristic
868C4×C22⋊C4C2311yescharacteristic
869C4×C22⋊C4C2311yescharacteristic
870C4×C22⋊C4C2311yescharacteristic
871C4×C22⋊C4C2311yescharacteristic
872C4×C22⋊C4C2311yescharacteristic
873C4×C22⋊C4C2311yescharacteristic
874C4×C22⋊C4C2311yescharacteristic
875C4×C22⋊C4C2311yescharacteristic
876C4×C22⋊C4C2311yescharacteristic
877C4×C22⋊C4C2311yescharacteristic
878#376C2311yescharacteristic
879#376C2311yescharacteristic
880#376C2311yescharacteristic
881#376C2314yes—
882#376C2314yes—
883#376C2311yescharacteristic
884C43C2311yescharacteristic
885C43C2311yescharacteristic
886C43C2311yescharacteristic
887C43C2311yescharacteristic
888C43C2311yescharacteristic
889C43C2311yescharacteristic
890C43C2311yescharacteristic
891C43C2311yescharacteristic
892C43C2311yescharacteristic
893C43C2311yescharacteristic
894C22×Q8—44no—
895C22×Q8—44no—
896C22×Q8—44no—
897C22×Q8C2412yes—
898C22×Q8C2412yes—
899C22×Q8C2412yes—
900C22×Q8C2412yes—
901C22×Q8C2412yes—
902C22×Q8C2412yes—
903C22×Q8C2411yescharacteristic
904C22×Q8C2414yes—
905C22×D4C2411yescharacteristic
906C22×D4C2411yescharacteristic
907C22×D4C2411yescharacteristic
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—
922C4⋊Q8—28no—
923C4⋊Q8—24no—
924C4⋊Q8—24no—
925C4⋊Q8—24no—
926C4⋊Q8—24no—
927C4⋊Q8—24no—
928C4⋊Q8—24no—
929C4⋊Q8—28no—
930C4⋊Q8—44no—
931C4⋊Q8—44no—
932C4⋊Q8—44no—
933C4⋊Q8—44no—
934C4⋊Q8—44no—
935C4⋊Q8—44no—
936C4⋊Q8—44no—
937#126—24no—
938#126—24no—
939#126—216no—
940#126—216no—
941#125—24no—
942#125—216no—
943#125—216no—
944#125—28no—
945#125—44no—
946#125—44no—
947#125—44no—
948#125—44no—
949#125—44no—
950#124—24no—
951#123—24no—
952#123—24no—
953C22⋊Q8—28no—
954C22⋊Q8—28no—
955C22⋊Q8—28no—
956C22⋊Q8—24no—
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—24no—
971C4×Q8—24no—
972C4×Q8—28no—
973C4×Q8—28no—
974C4×Q8—28no—
975C4×Q8—24no—
976C4×Q8—42no—
977C4×Q8—44no—
978C4×Q8—44no—
979C4×Q8—44no—
980C4×Q8—44no—
981C4×Q8—44no—
982C4×Q8—44no—
983C4×Q8—44no—
984C4×Q8—44no—
985C4×Q8—44no—
986C4×Q8—44no—
987C4×Q8—44no—
988C4×Q8—44no—
989C4×Q8—44no—
990C4×D4—24no—
991C4×D4—24no—
992C4×D4—24no—
993C4×D4—24no—
994C4×D4—24no—
995C4×D4—24no—
996C4×D4—42no—
997C4×D4—42no—
998C4×D4—42no—
999#117—24no—
1000#117—24no—
1001#117—24no—
1002#117—44no—
1003#117—44no—
1004#117—44no—
1005#117—44no—
1006#117—44no—
1007#117#4118yes—
1008C2×C4⋊C4—44no—
1009C2×C4⋊C4—44no—
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2412yes—
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2412yes—
1020C2×C4⋊C4C2412yes—
1021C2×C4⋊C4C2411yescharacteristic
1022C2×C4⋊C4C2411yescharacteristic
1023C2×C4⋊C4C2411yescharacteristic
1024C2×C4⋊C4C2411yescharacteristic
1025C2×C4⋊C4C2411yescharacteristic
1026C2×C4⋊C4C2411yescharacteristic
1027C2×C4⋊C4C2411yescharacteristic
1028C2×C4⋊C4C2411yescharacteristic
1029C2×C4⋊C4C2411yescharacteristic
1030C2×C4⋊C4C2411yescharacteristic
1031C2×C4⋊C4C2411yescharacteristic
1032C2×C4⋊C4C2411yescharacteristic
1033C2×C4⋊C4C2412yes—
1034C2×C4⋊C4C2412yes—
1035C2×C4⋊C4C2411yescharacteristic
1036C2×C4⋊C4C2412yes—
1037C2×C4⋊C4C2412yes—
1038C2×C4⋊C4C2412yes—
1039C2×C4⋊C4C2411yescharacteristic
1040C2×C4⋊C4C2411yescharacteristic
1041C2×C4⋊C4C2414yes—
1042C2×C4⋊C4C2414yes—
1043C2×C4⋊C4C2411yescharacteristic
1044C2×C4⋊C4C2412yes—
1045C2×C4⋊C4C2411yescharacteristic
1046C2×C4⋊C4C2411yescharacteristic
1047C2×C4⋊C4C2414yes—
1048C2×C4⋊C4C2414yes—
1049C2×C4⋊C4C2414yes—
1050C2×C4⋊C4C2412yes—
1051C2×C4⋊C4C2414yes—
1052C2×C4⋊C4C2414yes—
1053C2×C4⋊C4C2414yes—
1054C2×C4⋊C4C2414yes—
1055C2×C4⋊C4C2414yes—
1056C2×C4⋊C4C2414yes—
1057C2×C4⋊C4C2414yes—
1058C2×C4⋊C4C2414yes—
1059C2×C4⋊C4C2414yes—
1060C2×C4⋊C4C2411yescharacteristic
1061C2×C4⋊C4C2411yescharacteristic
1062C2×C4⋊C4C2411yescharacteristic
1063C2×C4⋊C4C2414yes—
1064C2×C4⋊C4C2414yes—
1065C2×C4⋊C4C2414yes—
1066C2×C4⋊C4C2414yes—
1067C2×C4⋊C4C2414yes—
1068C2×C4⋊C4C2414yes—
1069C2×C4⋊C4C2414yes—
1070C2×C4⋊C4C2414yes—
1071C2×C4⋊C4C2414yes—
1072C2×C4⋊C4C2414yes—
1073C2×C4⋊C4C2411yescharacteristic
1074C2×C4⋊C4C2411yescharacteristic
1075C2×C4⋊C4C2411yescharacteristic
1076C2×C4⋊C4C2414yes—
1077C2×C4⋊C4C2414yes—
1078C2×C4⋊C4C2414yes—
1079C2×C4⋊C4C2414yes—
1080C2×C4⋊C4C2414yes—
1081C2×C4⋊C4C2414yes—
1082C2×C4⋊C4C2414yes—
1083C2×C4⋊C4C2414yes—
1084C2×C4⋊C4C2414yes—
1085C2×C4⋊C4C2414yes—
1086C2×C4⋊C4C2414yes—
1087C2×C4⋊C4C2414yes—
1088C2×C4⋊C4C2414yes—
1089C2×C4⋊C4C2414yes—
1090C2×C4⋊C4C2411yescharacteristic
1091C2×C4⋊C4C2411yescharacteristic
1092C2×C22⋊C4C2411yescharacteristic
1093C2×C22⋊C4C2411yescharacteristic
1094C2×C22⋊C4C2411yescharacteristic
1095C2×C22⋊C4C2411yescharacteristic
1096C2×C22⋊C4C2411yescharacteristic
1097C2×C22⋊C4C2411yescharacteristic
1098C2×C22⋊C4C2411yescharacteristic
1099C2×C22⋊C4C2411yescharacteristic
1100C2×C22⋊C4C2411yescharacteristic
1101C2×C22⋊C4C2411yescharacteristic
1102C2×C22⋊C4C2411yescharacteristic
1103C2×C22⋊C4C2411yescharacteristic
1104C2×C22⋊C4C2411yescharacteristic
1105C2×C22⋊C4C2411yescharacteristic
1106C2×C22⋊C4C2411yescharacteristic
1107C2×C22⋊C4C2411yescharacteristic
1108C2×C22⋊C4C2411yescharacteristic
1109C2×C22⋊C4C2411yescharacteristic
1110C2×C22⋊C4C2414yes—
1111C2×C22⋊C4C2414yes—
1112C2×C22⋊C4C2414yes—
1113C2×C22⋊C4C2414yes—
1114C2×C22⋊C4C2414yes—
1115C2×C22⋊C4C2414yes—
1116C2×C22⋊C4C2414yes—
1117C2×C22⋊C4C2414yes—
1118C2×C22⋊C4C2411yescharacteristic
1119C2×C22⋊C4C2411yescharacteristic
1120C2×C22⋊C4C2411yescharacteristic
1121C2×C22⋊C4C2411yescharacteristic
1122C2×C22⋊C4C2411yescharacteristic
1123C2×C22⋊C4C2411yescharacteristic
1124C2×C22⋊C4C2414yes—
1125C2×C22⋊C4C2414yes—
1126C2×C22⋊C4C2414yes—
1127C2×C22⋊C4C2411yescharacteristic
1128C2×C22⋊C4C2411yescharacteristic
1129C2×C42—24no—
1130C2×C42—24no—
1131C2×C42—24no—
1132C2×C42—24no—
1133C2×C42—24no—
1134C2×C42—24no—
1135C2×C42—24no—
1136C2×C42—42no—
1137C2×C42—42no—
1138C2×C42C2411yescharacteristic
1139C2×C42C2411yescharacteristic
1140C2×C42C2411yescharacteristic
1141C2×C42C2411yescharacteristic
1142C2×C42C2411yescharacteristic
1143C2×C42C2411yescharacteristic
1144C2×C42C2411yescharacteristic
1145C2×C42C2411yescharacteristic
1146C2×C42C2411yescharacteristic
1147C2×C42C2411yescharacteristic
1148C2×C42C2411yescharacteristic
1149C2×C42C2411yescharacteristic
1150C2×C42C2411yescharacteristic
1151C2×C42C2411yescharacteristic
1152C2×C42C2411yescharacteristic
1153C2×C42C2411yescharacteristic
1154C2×C42C2411yescharacteristic
1155C2×C42C2411yescharacteristic
1156C2×C42C2414yes—
1157C2×C42C2414yes—
1158C2×C42C2411yescharacteristic
1159C2×C42C2411yescharacteristic
1160C2×C42C2411yescharacteristic
1161C2×C42C2414yes—
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×C42C2414yes—
1179C2×C42C2414yes—
1180C2×C42C2414yes—
1181C2×C42C2414yes—
1182C2×C42C2414yes—
1183C2×C42C2414yes—
1184C2×C42C2414yes—
1185C2×C42C2414yes—
1186C2×C42C2411yescharacteristic
1187C2×C42C2411yescharacteristic
1188C2×C42C2411yescharacteristic
1189C2×C42C2411yescharacteristic
1190C2×C42C2411yescharacteristic
1191C2×C42C2411yescharacteristic
1192C2×C42C2411yescharacteristic
1193C2×C42C2411yescharacteristic
1194C2×C42C2411yescharacteristic
1195#95C2411yescharacteristic
1196#95C2414yes—
1197#95C2411yescharacteristic
1198#95C2411yescharacteristic
1199#95C2411yescharacteristic
1200#95C2411yescharacteristic
1201#95C2411yescharacteristic
1202#95C2411yescharacteristic
1203#95C2411yescharacteristic
1204#95C2411yescharacteristic
1205#95C2411yescharacteristic
1206#95C2411yescharacteristic
1207#95C2411yescharacteristic
1208#95C2411yescharacteristic
1209#95C2411yescharacteristic
1210#95C2411yescharacteristic
1211#95C2411yescharacteristic
1212#95C2411yescharacteristic
1213#95C2414yes—
1214#95C2414yes—
1215#95C2414yes—
1216#95C2414yes—
1217#95C2414yes—
1218#95C2414yes—
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#95C2411yescharacteristic
1237#95C2414yes—
1238#95C2414yes—
1239#95C2414yes—
1240#95C2414yes—
1241#95C2414yes—
1242#95C2414yes—
1243#95C2411yescharacteristic
1244#95C2411yescharacteristic
1245#95C2411yescharacteristic
1246#95C2411yescharacteristic
1247#95C2411yescharacteristic
1248#95C2414yes—
1249#95C2414yes—
1250#95C2414yes—
1251#95C2414yes—
1252#95C2414yes—
1253#95C2414yes—
1254#95C2414yes—
1255#95C2414yes—
1256#95C2414yes—
1257#95C2414yes—
1258#95C2414yes—
1259#95C2414yes—
1260#95C2414yes—
1261#95C2414yes—
1262#95C2414yes—
1263#95C2414yes—
1264#95C2414yes—
1265#95C2414yes—
1266#95C2414yes—
1267#95C2414yes—
1268#95C2414yes—
1269#95C2414yes—
1270#95C2414yes—
1271#95C2414yes—
1272#95C2414yes—
1273#95C2414yes—
1274#95C2414yes—
1275#95C2414yes—
1276#95C2414yes—
1277#95C2414yes—
1278#95C2414yes—
1279#95C2414yes—
1280#95C2414yes—
1281#95C2414yes—
1282#95C2414yes—
1283#95C2414yes—
1284#95C2414yes—
1285C24C2511yescharacteristic
1286C24C2511yescharacteristic
1287C24C2511yescharacteristic
1288C2×Q8—22no—
1289C2×Q8—24no—
1290C2×Q8—24no—
1291C2×Q8—24no—
1292C2×Q8—24no—
1293C2×Q8—24no—
1294C2×Q8—24no—
1295C2×Q8—24no—
1296C2×Q8—24no—
1297C2×Q8—22no—
1298C2×Q8—24no—
1299C2×Q8—24no—
1300C2×Q8—24no—
1301C2×Q8—24no—
1302C2×Q8—24no—
1303C2×Q8—24no—
1304C2×Q8—24no—
1305C2×Q8—24no—
1306C2×Q8—24no—
1307C2×Q8—24no—
1308C2×Q8—41no—
1309C2×Q8—44no—
1310C2×Q8—44no—
1311C2×Q8—44no—
1312C2×Q8—816no—
1313C2×D4—22no—
1314C2×D4—22no—
1315C2×D4—22no—
1316C2×D4—22no—
1317C2×D4—22no—
1318C2×D4—22no—
1319C2×D4—41no—
1320C2×D4—41no—
1321C2×D4—41no—
1322C22×C4—22no—
1323C22×C4—22no—
1324C22×C4—22no—
1325C22×C4—22no—
1326C22×C4—22no—
1327C22×C4—22no—
1328C22×C4—22no—
1329C22×C4—22no—
1330C22×C4—22no—
1331C22×C4—22no—
1332C22×C4—22no—
1333C22×C4—22no—
1334C22×C4—22no—
1335C22×C4—22no—
1336C22×C4—22no—
1337C22×C4—22no—
1338C22×C4—22no—
1339C22×C4—22no—
1340C22×C4—22no—
1341C22×C4—22no—
1342C22×C4—22no—
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—41no—
1356C22×C4—41no—
1357C22×C4—41no—
1358C22×C4—41no—
1359C22×C4—44no—
1360C22×C4—44no—
1361C22×C4—44no—
1362C22×C4C2×#4114yes—
1363C22×C42−1+414yes—
1364C22×C4C2511yescharacteristic
1365C22×C4C2511yescharacteristic
1366C22×C4C2511yescharacteristic
1367C22×C4C2511yescharacteristic
1368C22×C4C2511yescharacteristic
1369C22×C4C2511yescharacteristic
1370C22×C4C2511yescharacteristic
1371C22×C4C2511yescharacteristic
1372C22×C4C2514yes—
1373C22×C4C2511yescharacteristic
1374C22×C4C2511yescharacteristic
1375C22×C4C2511yescharacteristic
1376C22×C4C2514yes—
1377C22×C4C2514yes—
1378C22×C4C2511yescharacteristic
1379C22×C4C2514yes—
1380C22×C4C2514yes—
1381C22×C4C2511yescharacteristic
1382C22×C4C2514yes—
1383C22×C4C2514yes—
1384C22×C4C2511yescharacteristic
1385C22×C4C2511yescharacteristic
1386C22×C4C2514yes—
1387C22×C4C2511yescharacteristic
1388C22×C4C2511yescharacteristic
1389C22×C4C2511yescharacteristic
1390C22×C4C2511yescharacteristic
1391C22×C4C2511yescharacteristic
1392C22×C4C2511yescharacteristic
1393C22×C4C2511yescharacteristic
1394C22×C4C2511yescharacteristic
1395C22×C4C2511yescharacteristic
1396C22×C4C2511yescharacteristic
1397C22×C4C2511yescharacteristic
1398C22×C4C2511yescharacteristic
1399C22×C4C2511yescharacteristic
1400C4⋊C4—22no—
1401C4⋊C4—22no—
1402C4⋊C4—22no—
1403C4⋊C4—22no—
1404C4⋊C4—22no—
1405C4⋊C4—22no—
1406C4⋊C4—24no—
1407C4⋊C4—24no—
1408C4⋊C4—22no—
1409C4⋊C4—22no—
1410C4⋊C4—28no—
1411C4⋊C4—28no—
1412C4⋊C4—28no—
1413C4⋊C4—28no—
1414C4⋊C4—28no—
1415C4⋊C4—28no—
1416C4⋊C4—28no—
1417C4⋊C4—28no—
1418C4⋊C4—24no—
1419C4⋊C4—24no—
1420C4⋊C4—24no—
1421C4⋊C4—24no—
1422C4⋊C4—24no—
1423C4⋊C4—24no—
1424C4⋊C4—24no—
1425C4⋊C4—24no—
1426C4⋊C4—24no—
1427C4⋊C4—24no—
1428C4⋊C4—24no—
1429C4⋊C4—24no—
1430C4⋊C4—22no—
1431C4⋊C4—22no—
1432C4⋊C4—22no—
1433C4⋊C4—22no—
1434C4⋊C4—22no—
1435C4⋊C4—22no—
1436C4⋊C4—22no—
1437C4⋊C4—22no—
1438C4⋊C4—22no—
1439C4⋊C4—24no—
1440C4⋊C4—22no—
1441C4⋊C4—28no—
1442C4⋊C4—24no—
1443C4⋊C4—28no—
1444C4⋊C4—28no—
1445C4⋊C4—28no—
1446C4⋊C4—24no—
1447C4⋊C4—24no—
1448C4⋊C4—44no—
1449C4⋊C4—44no—
1450C4⋊C4—41no—
1451C4⋊C4—41no—
1452C4⋊C4—41no—
1453C4⋊C4—41no—
1454C4⋊C4—41no—
1455C4⋊C4—41no—
1456C4⋊C4—44no—
1457C4⋊C4—44no—
1458C4⋊C4—44no—
1459C4⋊C4—44no—
1460C4⋊C4—44no—
1461C4⋊C4—44no—
1462C4⋊C4—44no—
1463C4⋊C4—44no—
1464C4⋊C4—44no—
1465C4⋊C4—44no—
1466C4⋊C4—44no—
1467C4⋊C4—44no—
1468C4⋊C4—44no—
1469C4⋊C4—44no—
1470C4⋊C4—44no—
1471C4⋊C4—44no—
1472C4⋊C4—44no—
1473C4⋊C4—44no—
1474C4⋊C4—44no—
1475C4⋊C4—44no—
1476C4⋊C4—44no—
1477C4⋊C4—44no—
1478C4⋊C4—44no—
1479C4⋊C4—44no—
1480C4⋊C4C2×#4114yes—
1481C4⋊C4C2×#4114yes—
1482C22⋊C4—22no—
1483C22⋊C4—22no—
1484C22⋊C4—28no—
1485C22⋊C4—28no—
1486C22⋊C4—22no—
1487C22⋊C4—22no—
1488C22⋊C4—28no—
1489C22⋊C4—22no—
1490C22⋊C4—22no—
1491C22⋊C4—22no—
1492C22⋊C4—22no—
1493C22⋊C4—22no—
1494C22⋊C4—22no—
1495C22⋊C4—22no—
1496C22⋊C4—22no—
1497C22⋊C4—22no—
1498C22⋊C4—22no—
1499C22⋊C4—22no—
1500C22⋊C4—22no—
1501C22⋊C4—22no—
1502C22⋊C4—22no—
1503C22⋊C4—44no—
1504C22⋊C4—44no—
1505C22⋊C4—44no—
1506C22⋊C4—44no—
1507C22⋊C4—44no—
1508C22⋊C4—41no—
1509C22⋊C4—41no—
1510C22⋊C4—41no—
1511C22⋊C4—41no—
1512C22⋊C4—41no—
1513C22⋊C4—41no—
1514C22⋊C4—44no—
1515C22⋊C4—44no—
1516C22⋊C4—44no—
1517C22⋊C4C2×#4114yes—
1518C22⋊C4C2×#4114yes—
1519C42—22no—
1520C42—22no—
1521C42—22no—
1522C42—22no—
1523C42—28no—
1524C42—28no—
1525C42—22no—
1526C42—22no—
1527C42—22no—
1528C42—22no—
1529C42—22no—
1530C42—22no—
1531C42—22no—
1532C42—22no—
1533C42—22no—
1534C42—22no—
1535C42—22no—
1536C42—22no—
1537C42—22no—
1538C42—22no—
1539C42—22no—
1540C42—22no—
1541C42—22no—
1542C42—22no—
1543C42—22no—
1544C42—22no—
1545C42—22no—
1546C42—22no—
1547C42—22no—
1548C42—22no—
1549C42—28no—
1550C42—22no—
1551C42—22no—
1552C42—22no—
1553C42—22no—
1554C42—22no—
1555C42—22no—
1556C42—22no—
1557C42—22no—
1558C42—22no—
1559C42—41no—
1560C42—41no—
1561C42—41no—
1562C42—41no—
1563C42—44no—
1564C42—44no—
1565C42—44no—
1566C42—44no—
1567C42—44no—
1568C42—44no—
1569C42—44no—
1570C42—44no—
1571C42C2×#4114yes—
1572C42C2×#4114yes—
1573C42H(5,𝔽2)14yes—
1574C422−1+414yes—
1575C422−1+414yes—
1576C23—21no—
1577C23—21no—
1578C23—21no—
1579C23—21no—
1580C23—21no—
1581C23—21no—
1582C23—21no—
1583C23—21no—
1584C23—21no—
1585C23—21no—
1586C23—21no—
1587C23—21no—
1588C23—21no—
1589C23—21no—
1590C23—21no—
1591C23—21no—
1592C23—21no—
1593C23—21no—
1594C23—21no—
1595C23C22×#4112yes—
1596C23C2×2−1+412yes—
1597C23C2611yescharacteristic
1598Q8—44no—
1599Q8—48no—
1600Q8—48no—
1601Q8—48no—
1602Q8—48no—
1603Q8—48no—
1604Q8—48no—
1605Q8—88no—
1606D4—44no—
1607D4—44no—
1608D4—44no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—21no—
1625C2×C4—21no—
1626C2×C4—21no—
1627C2×C4—21no—
1628C2×C4—21no—
1629C2×C4—28no—
1630C2×C4—28no—
1631C2×C4—21no—
1632C2×C4—21no—
1633C2×C4—21no—
1634C2×C4—24no—
1635C2×C4—24no—
1636C2×C4—21no—
1637C2×C4—24no—
1638C2×C4—24no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—24no—
1648C2×C4—24no—
1649C2×C4—24no—
1650C2×C4—24no—
1651C2×C4—24no—
1652C2×C4—24no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—21no—
1656C2×C4—21no—
1657C2×C4—21no—
1658C2×C4—21no—
1659C2×C4—21no—
1660C2×C4—21no—
1661C2×C4—21no—
1662C2×C4—21no—
1663C2×C4—24no—
1664C2×C4—21no—
1665C2×C4—21no—
1666C2×C4—21no—
1667C2×C4—24no—
1668C2×C4—21no—
1669C2×C4—24no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—21no—
1673C2×C4—21no—
1674C2×C4—24no—
1675C2×C4—21no—
1676C2×C4—24no—
1677C2×C4—24no—
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—24no—
1688C2×C4—21no—
1689C2×C4—24no—
1690C2×C4—24no—
1691C2×C4—24no—
1692C2×C4—24no—
1693C2×C4—21no—
1694C2×C4—21no—
1695C2×C4—24no—
1696C2×C4—24no—
1697C2×C4—24no—
1698C2×C4—21no—
1699C2×C4—21no—
1700C2×C4—44no—
1701C2×C4—44no—
1702C2×C4—44no—
1703C2×C4—44no—
1704C2×C4—44no—
1705C2×C4—44no—
1706C2×C4—44no—
1707C2×C4—44no—
1708C2×C4—44no—
1709C2×C4—44no—
1710C2×C4—44no—
1711C2×C4—88no—
1712C2×C4C22×#4112yes—
1713C2×C4C22×#4112yes—
1714C2×C4C22×#4112yes—
1715C2×C4C22×#4112yes—
1716C2×C4C22×#4112yes—
1717C2×C4C22×#4112yes—
1718C2×C4C2×H(5,𝔽2)12yes—
1719C2×C4C2×H(5,𝔽2)12yes—
1720C2×C4C2×H(5,𝔽2)12yes—
1721C2×C4C2×2−1+412yes—
1722C2×C4C2×2−1+412yes—
1723C2×C4C2×2−1+412yes—
1724C2×C4C2×2−1+412yes—
1725C2×C4C2×2−1+412yes—
1726C2×C4C2×2−1+412yes—
1727C2×C4C2×2−1+412yes—
1728C2×C4C2×2−1+412yes—
1729C2×C4#58512yes—
1730C2×C4#58512yes—
1731C22—22no—
1732C22—22no—
1733C22—22no—
1734C22—22no—
1735C22—22no—
1736C22—22no—
1737C22—41no—
1738C22—41no—
1739C22—41no—
1740C22—41no—
1741C22—41no—
1742C22—41no—
1743C22—41no—
1744C22—41no—
1745C22—41no—
1746C22—41no—
1747C22—41no—
1748C22—41no—
1749C22—41no—
1750C22—41no—
1751C22—41no—
1752C22C23×#4111yescharacteristic
1753C22C22×H(5,𝔽2)11yescharacteristic
1754C22C22×2−1+411yescharacteristic
1755C22C22×2−1+411yescharacteristic
1756C22C22×2−1+411yescharacteristic
1757C22C2×#58511yescharacteristic
1758C22C2×#58511yescharacteristic
1759C4—22no—
1760C4—22no—
1761C4—22no—
1762C4—22no—
1763C4—22no—
1764C4—22no—
1765C4—22no—
1766C4—22no—
1767C4—22no—
1768C4—22no—
1769C4—41no—
1770C4—41no—
1771C4—41no—
1772C4—44no—
1773C4—44no—
1774C4—44no—
1775C4—41no—
1776C4—41no—
1777C4—44no—
1778C4—41no—
1779C4—41no—
1780C4—44no—
1781C4—44no—
1782C4—44no—
1783C4—44no—
1784C4—41no—
1785C4—41no—
1786C4—41no—
1787C4—41no—
1788C4—41no—
1789C4—41no—
1790C4—41no—
1791C4—41no—
1792C4#351114yes—
1793C4#355214yes—
1794C4#356214yes—
1795C2—42no—
1796C2—42no—
1797C2—81no—
1798C2C2×#356211yescharacteristic
1799C2C2×#355211yescharacteristic
1800C2C2×#351111yescharacteristic
1801C2#6280511yescharacteristic
1802C2#6280511yescharacteristic
1803C2#6283711yescharacteristic
1804C2#6283711yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC2×#121C23
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59695C2semidirect
2. #59481C2semidirect
3. #59324C2semidirect
5. #46117C2semidirect
6. #46116C2semidirect
8. #45634C2semidirect
9. #40215C2semidirect
10. #40190C2semidirect
11. #40100C2semidirect
12. #40079C2semidirect
13. #40000C2semidirect
14. #39979C2semidirect
15. #39939C2semidirect
16. #39914C2semidirect
17. #39673C2semidirect
18. #39553C2semidirect
19. #37955C2semidirect
20. #37947C2semidirect
21. #37598C2semidirect
22. #37385C2semidirect
24. #36645C2semidirect
25. #36635C2semidirect
26. #36608C2semidirect
27. #36598C2semidirect
28. #36151C2semidirect
29. #36151C2semidirect
30. #36151C2semidirect
31. #36134C2semidirect
32. #36129C2semidirect
33. #36129C2semidirect
34. #35322C2semidirect
35. #35319C2semidirect
36. #35284C2semidirect
37. #35281C2semidirect
38. #34430C2semidirect

Maximal subgroups

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

subgroupindex
#596952
#594812
#593242
#593062
#461172
#461162
#456772
#456342
#402152
#401902
#401002
#400792
#400002
#399792
#399392
#399142
#396732
#395532
#379552
#379472
#375982
#373852
#373782
#366452
#366352
#366082
#365982
#361512
#361342
#361292
#353222
#353192
#352842
#352812
#344302
C4×#5292