Finite Group Databasebeta

← #7671744

Subgroups — #7671744

Order 512.

4660 conjugacy classes of subgroups.

The subgroup lattice has 1781 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59963C212yesmaximal, complemented
2#59946C212yesmaximal, complemented
3#59920C212yesmaximal, complemented
4#59859C212yesmaximal
5#59574C212yesmaximal, complemented
6#59511C212yesmaximal, complemented
7#59400C212yesmaximal, complemented
8#59383C212yesmaximal, complemented
9#40107C212yesmaximal, complemented
10#40106C212yesmaximal, complemented
11#40095C212yesmaximal, complemented
12#40094C212yesmaximal
13#39153C212yesmaximal, complemented
14#38915C212yesmaximal
15#38267C212yesmaximal, complemented
16#38265C212yesmaximal, complemented
17#36635C211yesmaximal, characteristic, complemented
18#36608C211yesmaximal, characteristic, complemented
19#36574C211yesmaximal, characteristic, complemented
20#36451C212yesmaximal, complemented
21#36448C212yesmaximal, complemented
22#36409C212yesmaximal, complemented
23#36408C212yesmaximal, complemented
24#36210C211yesmaximal, characteristic, complemented
25#36189C211yesmaximal, characteristic, complemented
26#36181C211yesmaximal, characteristic, complemented
27#36151C211yesmaximal, characteristic, complemented
28#36129C211yesmaximal, characteristic, complemented
29#36129C211yesmaximal, characteristic, complemented
30#35648C212yesmaximal, complemented
31#35647C212yesmaximal, complemented
32#35291C211yesmaximal, characteristic, complemented
33#35291C211yesmaximal, characteristic, complemented
34#35221C212yesmaximal, complemented
35#34318C212yesmaximal, complemented
36#34216C211yesmaximal, characteristic, complemented
37#34214C211yesmaximal, characteristic, complemented
38C4×#533C211yesmaximal, characteristic, complemented
39C4×#529C211yesmaximal, characteristic
40C2×#552C2212yes—
41C2×#533C2211yescharacteristic
42C2×#533C2211yescharacteristic
43C22×C4⋊Q8C2211yescharacteristic
44C2×#529C2211yescharacteristic
45#2864C2212yes—
46#2864C2214yes—
47#2863C2212yes—
48#2863C2212yes—
49#2863C2214yes—
50#2862C2211yescharacteristic
51#2862C2211yescharacteristic
52#2862C2211yescharacteristic
53#2859C2211yescharacteristic
54#2859C2211yescharacteristic
55#2859C2211yescharacteristic
56#2857C2211yescharacteristic
57#2857C2211yescharacteristic
58#2857C2211yescharacteristic
59#2857C2211yescharacteristic
60#2857C2211yescharacteristic
61#2857C2211yescharacteristic
62#2855C2212yes—
63#2855C2212yes—
64#2851C2212yes—
65#2794C2214yes—
66#2789C2214yes—
67#2788C2214yes—
68#2787C2214yes—
69#2776C2214yes—
70#2770C2214yes—
71#2767C2214yes—
72#2766C2214yes—
73#2762C2214yes—
74#2747C2214yes—
75#2745C2214yes—
76#2739C2214yes—
77#2720C2214yes—
78#2719C2214yes—
79#2717C2214yes—
80#2708C2214yes—
81#2666C2214yes—
82#2666C2214yes—
83#2645C2212yes—
84#2645C2212yes—
85#2625C2212yes—
86#2625C2212yes—
87#2590C2214yes—
88#2589C2214yes—
89#2588C2214yes—
90#2587C2214yes—
91#2586C2214yes—
92#2585C2214yes—
93#2585C2214yes—
94#2584C2212yes—
95#2584C2212yes—
96#2581C2212yes—
97#2581C2212yes—
98#2581C2212yes—
99#2581C2212yes—
100#2578C2214yes—
101#2576C2214yes—
102#2576C2214yes—
103#2575C2214yes—
104#2573C2214yes—
105#2573C2214yes—
106#2573C2214yes—
107#2572C2214yes—
108#2570C2212yes—
109#2565C2212yes—
110#2562C2212yes—
111#2553C2214yes—
112#2550C2212yes—
113#2550C2212yes—
114#2536C2212yes—
115#2533C2214yes—
116#2533C2214yes—
117#2533C2214yes—
118#2530C2214yes—
119#2530C2214yes—
120#2528C2214yes—
121#2528C2214yes—
122#2527C2214yes—
123#2527C2214yes—
124#2527C2214yes—
125#2524C2214yes—
126#2515C2214yes—
127#2514C2212yes—
128#2514C2212yes—
129#2514C2212yes—
130#2514C2212yes—
131#2514C2212yes—
132#2514C2212yes—
133#2514C2212yes—
134#2514C2214yes—
135#2514C2212yes—
136#2514C2214yes—
137#2514C2212yes—
138#2511C2214yes—
139#2511C2212yes—
140#2509C2212yes—
141#2509C2212yes—
142#2509C2212yes—
143#2509C2212yes—
144#2509C2212yes—
145#2508C2212yes—
146#2508C2212yes—
147#2508C2212yes—
148#2508C2212yes—
149#2507C2212yes—
150#2506C2212yes—
151#2506C2212yes—
152#2503C2212yes—
153#2499C2212yes—
154#2497C2212yes—
155#2496C2214yes—
156#2496C2212yes—
157#2496C2212yes—
158#2495C2212yes—
159#2495C2212yes—
160#2495C2214yes—
161#2495C2212yes—
162#2494C2212yes—
163#2494C2212yes—
164#2494C2212yes—
165#2494C2214yes—
166#2494C2212yes—
167#2492C2212yes—
168#2492C2212yes—
169#2489C2212yes—
170#2489C2212yes—
171#2489C2212yes—
172#2489C2212yes—
173#2487C2212yes—
174#2486C2212yes—
175#2486C2212yes—
176#2485C2212yes—
177#2478C2214yes—
178#2470C2214yes—
179#2453C2212yes—
180#2453C2212yes—
181#2453C2212yes—
182#2453C2212yes—
183#2453C2212yes—
184#2453C2212yes—
185#2451C2212yes—
186#2451C2212yes—
187#2446C2212yes—
188#2446C2212yes—
189#2442C2212yes—
190#2442C2212yes—
191#2442C2212yes—
192#2441C2212yes—
193#2439C2212yes—
194#2439C2212yes—
195#2429C2212yes—
196#2429C2212yes—
197#2423C2212yes—
198#2421C2212yes—
199#2421C2212yes—
200#2421C2212yes—
201#2421C2212yes—
202#2421C2212yes—
203#2417C2212yes—
204#2417C2212yes—
205#2417C2212yes—
206#2415C2212yes—
207#2415C2212yes—
208#2415C2212yes—
209#2409C2212yes—
210#2409C2212yes—
211#2374C2214yes—
212#2373C2214yes—
213#2370C2214yes—
214#2370C2212yes—
215#2370C2212yes—
216#2370C2212yes—
217#2369C2212yes—
218#2369C2212yes—
219#2365C2212yes—
220#2365C2212yes—
221#2362C2212yes—
222#2362C2212yes—
223#2362C2212yes—
224#2360C2212yes—
225#2360C2212yes—
226#2360C2212yes—
227#2360C2212yes—
228#2360C2212yes—
229#2360C2212yes—
230#2360C2212yes—
231#2356C2212yes—
232#2356C2212yes—
233#2356C2212yes—
234#2355C2212yes—
235#2355C2212yes—
236#2352C2212yes—
237#2352C2212yes—
238#2352C2212yes—
239#2351C2212yes—
240#2351C2212yes—
241Q8×C4⋊C4C2212yes—
242Q8×C4⋊C4C2212yes—
243#2347C2214yes—
244#2347C2212yes—
245#2345C2212yes—
246#2345C2212yes—
247#2345C2212yes—
248#2344C2212yes—
249#2344C2212yes—
250Q8×C22⋊C4C2212yes—
251Q8×C22⋊C4C2212yes—
252Q8×C22⋊C4C2212yes—
253Q8×C22⋊C4C2212yes—
254#2336C2214yes—
255#2335C2214yes—
256#2331C2212yes—
257#2331C2212yes—
258#2330C2212yes—
259#2330C2212yes—
260#2323C2212yes—
261#2323C2212yes—
262#2320C2212yes—
263#2320C2212yes—
264#2317C2212yes—
265#2316C2212yes—
266C4×C4⋊Q8C2211yescharacteristic
267C4×C4⋊Q8C2211yescharacteristic
268C4×C4⋊Q8C2211yescharacteristic
269C4×C4⋊Q8C2211yescharacteristic
270C4×C4⋊Q8C2211yescharacteristic
271C4×C4⋊Q8C2211yescharacteristic
272C4×C4⋊Q8C2211yescharacteristic
273C4×C4⋊Q8C2211yescharacteristic
274C4×C4⋊Q8C2211yescharacteristic
275C4×C4⋊Q8C2211yescharacteristic
276C4×#125C2212yes—
277C4×#125C2211yescharacteristic
278C4×#125C2212yes—
279C4×#125C2212yes—
280C4×#125C2211yescharacteristic
281C4×#126C2214yes—
282C4×#126C2211yescharacteristic
283C4×#126C2211yescharacteristic
284C4×#126C2211yescharacteristic
285C4×#126C2211yescharacteristic
286C4×#124C2211yescharacteristic
287C4×#124C2211yescharacteristic
288C4×C22⋊Q8C2212yes—
289C4×C22⋊Q8C2212yes—
290C4×C22⋊Q8C2212yes—
291C4×C22⋊Q8C2211yescharacteristic
292C4×C22⋊Q8C2212yes—
293C4×C22⋊Q8C2212yes—
294C4×C22⋊Q8C2212yes—
295C4×C22⋊Q8C2211yescharacteristic
296C4×#123C2211yescharacteristic
297C4×#123C2211yescharacteristic
298C4×#123C2211yescharacteristic
299C4×#123C2211yescharacteristic
300C4×#121C2211yescharacteristic
301C4×#121C2211yescharacteristic
302#2298C2214yes—
303#2298C2211yescharacteristic
304#2298C2211yescharacteristic
305#2296C2212yes—
306#2295C2212yes—
307#2295C2212yes—
308#2295C2212yes—
309#2295C2212yes—
310#2295C2211yescharacteristic
311#2293C2211yescharacteristic
312#2290C2211yescharacteristic
313#2290C2211yescharacteristic
314#2285C2211yescharacteristic
315#2285C2211yescharacteristic
316C2×#384C2211yescharacteristic
317#2283C2212yes—
318#2283C2211yescharacteristic
319#2274C2212yes—
320#2274C2212yes—
321C42×Q8C2211yescharacteristic
322C42×Q8C2212yes—
323C42×Q8C2212yes—
324C42×D4C2211yescharacteristic
325C42×D4C2211yescharacteristic
326C42×D4C2211yescharacteristic
327C4×#117C2212yes—
328C4×#117C2211yescharacteristic
329C4×#117C2211yescharacteristic
330C2×C43C2211yescharacteristic
331C23×Q8C2312yes—
332#552—216no—
333#533—28no—
334#533—28no—
335C2×C4⋊Q8—28no—
336C2×C4⋊Q8C2311yescharacteristic
337C2×C4⋊Q8C2311yescharacteristic
338C2×C4⋊Q8C2311yescharacteristic
339C2×C4⋊Q8C2312yes—
340C2×C4⋊Q8C2312yes—
341C2×C4⋊Q8C2312yes—
342C2×C4⋊Q8C2311yescharacteristic
343#529—28no—
344C2×#126C2311yescharacteristic
345C2×#126C2311yescharacteristic
346C2×#126C2314yes—
347C2×#125C2311yescharacteristic
348C2×#125C2312yes—
349C2×#125C2312yes—
350C2×#125C2312yes—
351C2×#125C2314yes—
352C2×#125C2312yes—
353C2×#125C2312yes—
354C2×#124C2311yescharacteristic
355C2×#123C2314yes—
356C2×#123C2311yescharacteristic
357C2×#123C2311yescharacteristic
358C2×C22⋊Q8C2312yes—
359C2×C22⋊Q8C2312yes—
360C2×C22⋊Q8C2312yes—
361C2×C22⋊Q8C2312yes—
362C2×C22⋊Q8C2312yes—
363C2×C22⋊Q8C2312yes—
364C2×C22⋊Q8C2312yes—
365C2×C22⋊Q8C2311yescharacteristic
366C2×C22⋊Q8C2312yes—
367C2×C22⋊Q8C2312yes—
368C2×C22⋊Q8C2312yes—
369C2×#121C2311yescharacteristic
370C2×C4×Q8C2312yes—
371C2×C4×Q8C2312yes—
372C2×C4×Q8C2311yescharacteristic
373C2×C4×Q8C2312yes—
374C2×C4×Q8C2312yes—
375C2×C4×Q8C2312yes—
376C2×C4×Q8C2312yes—
377C2×C4×Q8C2312yes—
378C2×C4×Q8C2312yes—
379C2×C4×Q8C2312yes—
380C2×C4×Q8C2312yes—
381C2×C4×Q8C2312yes—
382C2×C4×Q8C2312yes—
383C2×C4×Q8C2312yes—
384C2×C4×Q8C2312yes—
385C2×C4×Q8C2311yescharacteristic
386C2×C4×Q8C2311yescharacteristic
387C2×C4×D4C2311yescharacteristic
388C2×C4×D4C2311yescharacteristic
389C2×C4×D4C2311yescharacteristic
390C2×C4×D4C2311yescharacteristic
391C2×C4×D4C2311yescharacteristic
392C2×C4×D4C2311yescharacteristic
393C2×C4×D4C2311yescharacteristic
394C2×C4×D4C2311yescharacteristic
395C2×C4×D4C2311yescharacteristic
396C2×#117C2311yescharacteristic
397C2×#117C2312yes—
398C2×#117C2311yescharacteristic
399C2×#117C2312yes—
400C2×#117C2311yescharacteristic
401C2×#117C2311yescharacteristic
402C2×#117C2314yes—
403C2×#117C2312yes—
404C2×#117C2312yes—
405C22×C4⋊C4C2312yes—
406C22×C4⋊C4C2312yes—
407C22×C4⋊C4C2312yes—
408C22×C4⋊C4C2312yes—
409C22×C4⋊C4C2312yes—
410C22×C42C2311yescharacteristic
411C22×C42C2311yescharacteristic
412C22×C42C2311yescharacteristic
413C22×C42C2311yescharacteristic
414C22×C42C2311yescharacteristic
415C22×C42C2311yescharacteristic
416C22×C42C2311yescharacteristic
417C22×C42C2311yescharacteristic
418C22×C42C2311yescharacteristic
419#401C2314yes—
420#401C2314yes—
421#401C2314yes—
422#401C2314yes—
423#401C2314yes—
424#400C2314yes—
425#400C2314yes—
426#400C2314yes—
427#400C2314yes—
428#400C2314yes—
429#400C2314yes—
430#400C2314yes—
431#400C2314yes—
432#400C2314yes—
433#400C2314yes—
434#400C2314yes—
435#400C2314yes—
436#400C2314yes—
437#400C2314yes—
438#400C2314yes—
439#400C2314yes—
440#400C2314yes—
441#400C2314yes—
442#400C2314yes—
443#400C2314yes—
444#400C2314yes—
445#400C2314yes—
446#400C2314yes—
447#400C2314yes—
448#399C2314yes—
449#398C2314yes—
450#398C2314yes—
451#398C2314yes—
452#398C2314yes—
453#398C2314yes—
454#398C2314yes—
455#398C2314yes—
456#398C2314yes—
457#398C2314yes—
458#398C2314yes—
459#398C2314yes—
460#398C2314yes—
461#398C2314yes—
462#397C2314yes—
463#397C2314yes—
464#397C2314yes—
465#397C2314yes—
466#397C2314yes—
467#397C2314yes—
468#397C2314yes—
469#397C2314yes—
470#397C2314yes—
471#397C2314yes—
472#396C2314yes—
473#396C2314yes—
474#396C2314yes—
475#395C2314yes—
476#395C2314yes—
477#395C2314yes—
478#395C2314yes—
479#394C2314yes—
480#394C2314yes—
481#393C2314yes—
482#393C2314yes—
483#391C2312yes—
484#391C2312yes—
485#391C2312yes—
486#391C2312yes—
487#391C2312yes—
488#391C2312yes—
489#391C2312yes—
490#391C2312yes—
491#391C2312yes—
492#391C2312yes—
493#391C2312yes—
494#391C2312yes—
495#391C2314yes—
496#391C2312yes—
497#391C2312yes—
498#391C2312yes—
499#391C2312yes—
500#391C2312yes—
501#391C2312yes—
502#391C2312yes—
503#391C2312yes—
504#391C2311yescharacteristic
505#391C2314yes—
506#391C2314yes—
507#391C2314yes—
508#391C2314yes—
509#391C2314yes—
510#391C2314yes—
511#391C2312yes—
512#391C2312yes—
513#391C2312yes—
514#391C2314yes—
515#391C2312yes—
516#391C2312yes—
517#391C2312yes—
518#391C2312yes—
519#391C2312yes—
520#391C2311yescharacteristic
521#390C2311yescharacteristic
522#390C2311yescharacteristic
523#389C2312yes—
524#389C2312yes—
525#389C2312yes—
526#389C2312yes—
527#389C2311yescharacteristic
528#389C2311yescharacteristic
529#389C2312yes—
530#389C2312yes—
531#389C2311yescharacteristic
532#389C2311yescharacteristic
533#389C2312yes—
534#389C2312yes—
535#389C2312yes—
536#389C2312yes—
537#389C2312yes—
538#389C2312yes—
539#389C2312yes—
540#389C2312yes—
541#389C2312yes—
542#389C2312yes—
543#389C2312yes—
544#389C2312yes—
545#389C2312yes—
546#389C2312yes—
547#389C2312yes—
548#389C2312yes—
549#389C2312yes—
550#389C2312yes—
551#389C2314yes—
552#389C2314yes—
553#389C2314yes—
554#389C2314yes—
555#389C2314yes—
556#389C2312yes—
557#389C2312yes—
558#389C2312yes—
559#389C2312yes—
560#389C2314yes—
561#389C2314yes—
562#389C2312yes—
563#389C2312yes—
564#389C2312yes—
565#389C2312yes—
566#389C2314yes—
567#389C2314yes—
568#389C2314yes—
569#389C2314yes—
570#389C2312yes—
571#389C2312yes—
572#389C2314yes—
573#389C2314yes—
574#389C2314yes—
575#389C2314yes—
576#389C2314yes—
577#389C2314yes—
578#389C2312yes—
579#389C2312yes—
580#389C2312yes—
581#389C2312yes—
582#389C2312yes—
583#389C2312yes—
584#389C2312yes—
585#389C2312yes—
586#389C2312yes—
587#389C2312yes—
588#389C2314yes—
589#388C2311yescharacteristic
590#388C2311yescharacteristic
591#388C2314yes—
592#388C2311yescharacteristic
593#388C2314yes—
594#388C2311yescharacteristic
595#388C2311yescharacteristic
596#388C2311yescharacteristic
597#388C2311yescharacteristic
598#388C2311yescharacteristic
599#388C2311yescharacteristic
600#388C2311yescharacteristic
601#388C2311yescharacteristic
602#388C2311yescharacteristic
603#388C2314yes—
604#388C2314yes—
605#388C2314yes—
606#388C2314yes—
607#388C2314yes—
608#388C2314yes—
609#388C2314yes—
610#388C2314yes—
611#388C2314yes—
612#388C2314yes—
613#388C2314yes—
614#388C2314yes—
615#388C2314yes—
616#388C2311yescharacteristic
617#388C2311yescharacteristic
618#388C2311yescharacteristic
619#388C2311yescharacteristic
620#387C2314yes—
621#387C2311yescharacteristic
622#387C2311yescharacteristic
623#387C2311yescharacteristic
624#387C2311yescharacteristic
625#387C2314yes—
626#387C2311yescharacteristic
627#387C2311yescharacteristic
628#387C2311yescharacteristic
629#387C2314yes—
630#387C2311yescharacteristic
631#387C2311yescharacteristic
632#387C2311yescharacteristic
633#387C2311yescharacteristic
634#387C2311yescharacteristic
635#387C2314yes—
636#387C2314yes—
637#387C2314yes—
638#387C2314yes—
639#387C2311yescharacteristic
640#387C2311yescharacteristic
641#387C2314yes—
642#387C2311yescharacteristic
643#387C2311yescharacteristic
644#387C2314yes—
645#387C2314yes—
646#387C2314yes—
647#387C2314yes—
648#387C2314yes—
649#387C2314yes—
650#387C2314yes—
651#387C2314yes—
652#387C2314yes—
653#387C2314yes—
654#387C2314yes—
655#387C2314yes—
656#387C2314yes—
657#387C2314yes—
658#387C2314yes—
659#387C2314yes—
660#387C2314yes—
661#387C2314yes—
662#387C2314yes—
663#387C2314yes—
664#387C2314yes—
665#387C2314yes—
666#387C2314yes—
667#387C2314yes—
668#387C2314yes—
669#387C2314yes—
670#387C2314yes—
671#387C2314yes—
672#387C2314yes—
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#386C2311yescharacteristic
690#386C2314yes—
691#386C2311yescharacteristic
692#386C2311yescharacteristic
693#386C2314yes—
694#386C2311yescharacteristic
695#386C2314yes—
696#385C2314yes—
697#385C2314yes—
698#385C2311yescharacteristic
699#385C2314yes—
700#385C2311yescharacteristic
701#385C2314yes—
702#385C2314yes—
703#385C2311yescharacteristic
704#385C2311yescharacteristic
705#385C2314yes—
706#385C2314yes—
707#385C2314yes—
708#385C2314yes—
709#384C2311yescharacteristic
710#384C2311yescharacteristic
711#384C2311yescharacteristic
712#384C2311yescharacteristic
713#384C2312yes—
714#384C2312yes—
715#384C2314yes—
716#384C2312yes—
717#383C2311yescharacteristic
718#383C2311yescharacteristic
719#383C2314yes—
720#383C2314yes—
721#383C2314yes—
722#383C2314yes—
723#383C2314yes—
724#383C2314yes—
725#383C2314yes—
726#382C2312yes—
727#382C2312yes—
728#382C2311yescharacteristic
729#382C2311yescharacteristic
730#382C2312yes—
731#382C2312yes—
732#382C2314yes—
733#382C2314yes—
734#382C2314yes—
735#382C2314yes—
736#382C2312yes—
737#382C2312yes—
738#382C2312yes—
739#382C2312yes—
740#382C2312yes—
741#382C2312yes—
742#382C2312yes—
743#382C2314yes—
744#381C2314yes—
745#381C2314yes—
746#381C2311yescharacteristic
747#381C2314yes—
748#381C2311yescharacteristic
749#380C2312yes—
750#380C2312yes—
751#380C2312yes—
752#380C2312yes—
753#380C2314yes—
754#380C2314yes—
755#380C2314yes—
756#380C2312yes—
757#380C2312yes—
758#380C2314yes—
759#380C2312yes—
760#380C2312yes—
761#380C2312yes—
762#380C2314yes—
763#380C2312yes—
764#380C2312yes—
765#380C2312yes—
766#380C2312yes—
767#380C2312yes—
768#380C2312yes—
769#380C2312yes—
770#380C2311yescharacteristic
771#380C2311yescharacteristic
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2314yes—
777C4×C4⋊C4C2314yes—
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2311yescharacteristic
781C4×C4⋊C4C2314yes—
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2311yescharacteristic
784C4×C4⋊C4C2311yescharacteristic
785C4×C4⋊C4C2311yescharacteristic
786C4×C4⋊C4C2311yescharacteristic
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2312yes—
790C4×C4⋊C4C2312yes—
791C4×C4⋊C4C2312yes—
792C4×C4⋊C4C2312yes—
793C4×C4⋊C4C2314yes—
794C4×C4⋊C4C2314yes—
795C4×C4⋊C4C2314yes—
796C4×C4⋊C4C2314yes—
797C4×C4⋊C4C2311yescharacteristic
798C4×C4⋊C4C2311yescharacteristic
799C4×C4⋊C4C2311yescharacteristic
800C4×C4⋊C4C2311yescharacteristic
801C4×C4⋊C4C2311yescharacteristic
802C4×C4⋊C4C2311yescharacteristic
803C4×C4⋊C4C2311yescharacteristic
804C4×C4⋊C4C2314yes—
805C4×C4⋊C4C2314yes—
806C4×C4⋊C4C2311yescharacteristic
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⋊C4C2312yes—
817C4×C4⋊C4C2312yes—
818C4×C4⋊C4C2312yes—
819C4×C4⋊C4C2312yes—
820C4×C4⋊C4C2312yes—
821C4×C4⋊C4C2311yescharacteristic
822C4×C4⋊C4C2314yes—
823C4×C4⋊C4C2314yes—
824C4×C4⋊C4C2314yes—
825C4×C4⋊C4C2314yes—
826C4×C4⋊C4C2314yes—
827C4×C4⋊C4C2314yes—
828C4×C4⋊C4C2312yes—
829C4×C4⋊C4C2312yes—
830C4×C4⋊C4C2312yes—
831C4×C4⋊C4C2311yescharacteristic
832C4×C4⋊C4C2312yes—
833C4×C4⋊C4C2311yescharacteristic
834C4×C4⋊C4C2311yescharacteristic
835C4×C4⋊C4C2311yescharacteristic
836C4×C4⋊C4C2311yescharacteristic
837C4×C22⋊C4C2314yes—
838C4×C22⋊C4C2311yescharacteristic
839C4×C22⋊C4C2311yescharacteristic
840C4×C22⋊C4C2311yescharacteristic
841C4×C22⋊C4C2314yes—
842C4×C22⋊C4C2314yes—
843C4×C22⋊C4C2311yescharacteristic
844C4×C22⋊C4C2311yescharacteristic
845C4×C22⋊C4C2311yescharacteristic
846C4×C22⋊C4C2311yescharacteristic
847C4×C22⋊C4C2311yescharacteristic
848C4×C22⋊C4C2311yescharacteristic
849C4×C22⋊C4C2311yescharacteristic
850C4×C22⋊C4C2311yescharacteristic
851C4×C22⋊C4C2311yescharacteristic
852C4×C22⋊C4C2314yes—
853C4×C22⋊C4C2314yes—
854C4×C22⋊C4C2314yes—
855C4×C22⋊C4C2314yes—
856C4×C22⋊C4C2314yes—
857C4×C22⋊C4C2314yes—
858C4×C22⋊C4C2314yes—
859C4×C22⋊C4C2311yescharacteristic
860C4×C22⋊C4C2311yescharacteristic
861C4×C22⋊C4C2311yescharacteristic
862C4×C22⋊C4C2311yescharacteristic
863C4×C22⋊C4C2311yescharacteristic
864C4×C22⋊C4C2311yescharacteristic
865C4×C22⋊C4C2311yescharacteristic
866C4×C22⋊C4C2311yescharacteristic
867C4×C22⋊C4C2311yescharacteristic
868C4×C22⋊C4C2311yescharacteristic
869C4×C22⋊C4C2311yescharacteristic
870C4×C22⋊C4C2311yescharacteristic
871C4×C22⋊C4C2311yescharacteristic
872C4×C22⋊C4C2311yescharacteristic
873#376C2311yescharacteristic
874#376C2311yescharacteristic
875#376C2311yescharacteristic
876#376C2311yescharacteristic
877#376C2314yes—
878#376C2314yes—
879#376C2314yes—
880C43C2311yescharacteristic
881C43C2311yescharacteristic
882C43C2314yes—
883C43C2311yescharacteristic
884C43C2311yescharacteristic
885C43C2311yescharacteristic
886C43C2311yescharacteristic
887C43C2311yescharacteristic
888C43C2311yescharacteristic
889C43C2311yescharacteristic
890C43C2311yescharacteristic
891C22×Q8—28no—
892C22×Q8—44no—
893C22×Q8—44no—
894C22×Q8C2412yes—
895C22×Q8C2412yes—
896C22×Q8C2412yes—
897C22×Q8C2412yes—
898C22×Q8C2411yescharacteristic
899C22×Q8C2414yes—
900C22×D4C2411yescharacteristic
901C22×D4C2411yescharacteristic
902C22×D4C2411yescharacteristic
903C23×C4C2411yescharacteristic
904C23×C4C2411yescharacteristic
905C23×C4C2411yescharacteristic
906C23×C4C2411yescharacteristic
907C23×C4C2411yescharacteristic
908C23×C4C2411yescharacteristic
909C23×C4C2411yescharacteristic
910C23×C4C2411yescharacteristic
911C23×C4C2411yescharacteristic
912C23×C4C2411yescharacteristic
913C23×C4C2411yescharacteristic
914C23×C4C2414yes—
915C23×C4C2414yes—
916C23×C4C2411yescharacteristic
917C23×C4C2411yescharacteristic
918C4⋊Q8—28no—
919C4⋊Q8—28no—
920C4⋊Q8—28no—
921C4⋊Q8—24no—
922C4⋊Q8—24no—
923C4⋊Q8—24no—
924C4⋊Q8#4118yes—
925#126—24no—
926#126—24no—
927#126—216no—
928#125—24no—
929#125—28no—
930#125—28no—
931#125—216no—
932#125—28no—
933#125—44no—
934#125—44no—
935#124—24no—
936#123—216no—
937#123—24no—
938#123—24no—
939C22⋊Q8—28no—
940C22⋊Q8—28no—
941C22⋊Q8—28no—
942C22⋊Q8—28no—
943C22⋊Q8—28no—
944C22⋊Q8—24no—
945C22⋊Q8—28no—
946C22⋊Q8—28no—
947C22⋊Q8—44no—
948C22⋊Q8—44no—
949C22⋊Q8—44no—
950#121—24no—
951C4×Q8—28no—
952C4×Q8—28no—
953C4×Q8—28no—
954C4×Q8—28no—
955C4×Q8—24no—
956C4×Q8—28no—
957C4×Q8—28no—
958C4×Q8—42no—
959C4×Q8—42no—
960C4×Q8—44no—
961C4×Q8—44no—
962C4×Q8—44no—
963C4×Q8—44no—
964C4×Q8—44no—
965C4×Q8—44no—
966C4×Q8—44no—
967C4×Q8—44no—
968C4×D4—24no—
969C4×D4—24no—
970C4×D4—24no—
971C4×D4—24no—
972C4×D4—42no—
973C4×D4—42no—
974C4×D4—42no—
975C4×D4—42no—
976C4×D4#4118yes—
977#117—24no—
978#117—24no—
979#117—28no—
980#117—28no—
981#117—28no—
982#117—216no—
983#117—24no—
984#117—24no—
985#117—44no—
986C2×C4⋊C4—28no—
987C2×C4⋊C4—28no—
988C2×C4⋊C4—28no—
989C2×C4⋊C4—44no—
990C2×C4⋊C4—44no—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2414yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2414yes—
1001C2×C4⋊C4C2414yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2414yes—
1005C2×C4⋊C4C2411yescharacteristic
1006C2×C4⋊C4C2411yescharacteristic
1007C2×C4⋊C4C2411yescharacteristic
1008C2×C4⋊C4C2411yescharacteristic
1009C2×C4⋊C4C2414yes—
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2411yescharacteristic
1013C2×C4⋊C4C2411yescharacteristic
1014C2×C4⋊C4C2411yescharacteristic
1015C2×C4⋊C4C2411yescharacteristic
1016C2×C4⋊C4C2411yescharacteristic
1017C2×C4⋊C4C2411yescharacteristic
1018C2×C4⋊C4C2411yescharacteristic
1019C2×C4⋊C4C2411yescharacteristic
1020C2×C4⋊C4C2412yes—
1021C2×C4⋊C4C2411yescharacteristic
1022C2×C4⋊C4C2412yes—
1023C2×C4⋊C4C2414yes—
1024C2×C4⋊C4C2414yes—
1025C2×C4⋊C4C2414yes—
1026C2×C4⋊C4C2414yes—
1027C2×C4⋊C4C2412yes—
1028C2×C4⋊C4C2412yes—
1029C2×C4⋊C4C2414yes—
1030C2×C4⋊C4C2411yescharacteristic
1031C2×C4⋊C4C2411yescharacteristic
1032C2×C4⋊C4C2412yes—
1033C2×C4⋊C4C2414yes—
1034C2×C4⋊C4C2414yes—
1035C2×C4⋊C4C2412yes—
1036C2×C4⋊C4C2414yes—
1037C2×C4⋊C4C2414yes—
1038C2×C4⋊C4C2414yes—
1039C2×C4⋊C4C2414yes—
1040C2×C4⋊C4C2411yescharacteristic
1041C2×C4⋊C4C2411yescharacteristic
1042C2×C4⋊C4C2411yescharacteristic
1043C2×C4⋊C4C2411yescharacteristic
1044C2×C4⋊C4C2414yes—
1045C2×C4⋊C4C2411yescharacteristic
1046C2×C4⋊C4C2411yescharacteristic
1047C2×C4⋊C4C2414yes—
1048C2×C4⋊C4C2411yescharacteristic
1049C2×C4⋊C4C2411yescharacteristic
1050C2×C4⋊C4C2411yescharacteristic
1051C2×C4⋊C4C2411yescharacteristic
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⋊C4C2414yes—
1061C2×C4⋊C4C2414yes—
1062C2×C4⋊C4C2414yes—
1063C2×C4⋊C4C2414yes—
1064C2×C4⋊C4C2414yes—
1065C2×C4⋊C4C2412yes—
1066C2×C4⋊C4C2412yes—
1067C2×C4⋊C4C2411yescharacteristic
1068C2×C22⋊C4C2411yescharacteristic
1069C2×C22⋊C4C2411yescharacteristic
1070C2×C22⋊C4C2414yes—
1071C2×C22⋊C4C2414yes—
1072C2×C22⋊C4C2414yes—
1073C2×C22⋊C4C2411yescharacteristic
1074C2×C22⋊C4C2411yescharacteristic
1075C2×C22⋊C4C2414yes—
1076C2×C22⋊C4C2411yescharacteristic
1077C2×C22⋊C4C2411yescharacteristic
1078C2×C22⋊C4C2411yescharacteristic
1079C2×C22⋊C4C2411yescharacteristic
1080C2×C22⋊C4C2411yescharacteristic
1081C2×C22⋊C4C2411yescharacteristic
1082C2×C22⋊C4C2411yescharacteristic
1083C2×C22⋊C4C2411yescharacteristic
1084C2×C22⋊C4C2411yescharacteristic
1085C2×C22⋊C4C2411yescharacteristic
1086C2×C22⋊C4C2411yescharacteristic
1087C2×C22⋊C4C2411yescharacteristic
1088C2×C22⋊C4C2414yes—
1089C2×C22⋊C4C2414yes—
1090C2×C22⋊C4C2414yes—
1091C2×C22⋊C4C2411yescharacteristic
1092C2×C22⋊C4C2411yescharacteristic
1093C2×C22⋊C4C2411yescharacteristic
1094C2×C22⋊C4C2411yescharacteristic
1095C2×C22⋊C4C2411yescharacteristic
1096C2×C22⋊C4C2411yescharacteristic
1097C2×C22⋊C4C2411yescharacteristic
1098C2×C22⋊C4C2411yescharacteristic
1099C2×C22⋊C4C2414yes—
1100C2×C22⋊C4C2414yes—
1101C2×C22⋊C4C2414yes—
1102C2×C22⋊C4C2411yescharacteristic
1103C2×C22⋊C4C2411yescharacteristic
1104C2×C42—24no—
1105C2×C42—24no—
1106C2×C42—24no—
1107C2×C42—24no—
1108C2×C42—24no—
1109C2×C42—24no—
1110C2×C42—42no—
1111C2×C42—42no—
1112C2×C42—42no—
1113C2×C42C2414yes—
1114C2×C42C2411yescharacteristic
1115C2×C42C2411yescharacteristic
1116C2×C42C2411yescharacteristic
1117C2×C42C2414yes—
1118C2×C42C2414yes—
1119C2×C42C2414yes—
1120C2×C42C2411yescharacteristic
1121C2×C42C2411yescharacteristic
1122C2×C42C2411yescharacteristic
1123C2×C42C2411yescharacteristic
1124C2×C42C2411yescharacteristic
1125C2×C42C2411yescharacteristic
1126C2×C42C2411yescharacteristic
1127C2×C42C2411yescharacteristic
1128C2×C42C2411yescharacteristic
1129C2×C42C2411yescharacteristic
1130C2×C42C2411yescharacteristic
1131C2×C42C2411yescharacteristic
1132C2×C42C2411yescharacteristic
1133C2×C42C2411yescharacteristic
1134C2×C42C2411yescharacteristic
1135C2×C42C2411yescharacteristic
1136C2×C42C2411yescharacteristic
1137C2×C42C2411yescharacteristic
1138C2×C42C2411yescharacteristic
1139C2×C42C2411yescharacteristic
1140C2×C42C2414yes—
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×C42C2414yes—
1156C2×C42C2414yes—
1157C2×C42C2414yes—
1158C2×C42C2414yes—
1159C2×C42C2414yes—
1160C2×C42C2414yes—
1161C2×C42C2414yes—
1162C2×C42C2414yes—
1163C2×C42C2414yes—
1164C2×C42C2411yescharacteristic
1165C2×C42C2411yescharacteristic
1166C2×C42C2411yescharacteristic
1167C2×C42C2411yescharacteristic
1168C2×C42C2411yescharacteristic
1169C2×C42C2411yescharacteristic
1170C2×C42C2411yescharacteristic
1171C2×C42C2411yescharacteristic
1172C2×C42C2411yescharacteristic
1173#95C2411yescharacteristic
1174#95C2414yes—
1175#95C2411yescharacteristic
1176#95C2411yescharacteristic
1177#95C2411yescharacteristic
1178#95C2411yescharacteristic
1179#95C2411yescharacteristic
1180#95C2411yescharacteristic
1181#95C2411yescharacteristic
1182#95C2411yescharacteristic
1183#95C2414yes—
1184#95C2411yescharacteristic
1185#95C2411yescharacteristic
1186#95C2414yes—
1187#95C2411yescharacteristic
1188#95C2411yescharacteristic
1189#95C2411yescharacteristic
1190#95C2411yescharacteristic
1191#95C2414yes—
1192#95C2411yescharacteristic
1193#95C2411yescharacteristic
1194#95C2414yes—
1195#95C2414yes—
1196#95C2414yes—
1197#95C2414yes—
1198#95C2414yes—
1199#95C2414yes—
1200#95C2414yes—
1201#95C2414yes—
1202#95C2411yescharacteristic
1203#95C2411yescharacteristic
1204#95C2414yes—
1205#95C2411yescharacteristic
1206#95C2411yescharacteristic
1207#95C2411yescharacteristic
1208#95C2411yescharacteristic
1209#95C2411yescharacteristic
1210#95C2411yescharacteristic
1211#95C2411yescharacteristic
1212#95C2411yescharacteristic
1213#95C2411yescharacteristic
1214#95C2411yescharacteristic
1215#95C2411yescharacteristic
1216#95C2411yescharacteristic
1217#95C2411yescharacteristic
1218#95C2411yescharacteristic
1219#95C2411yescharacteristic
1220#95C2411yescharacteristic
1221#95C2414yes—
1222#95C2414yes—
1223#95C2414yes—
1224#95C2414yes—
1225#95C2414yes—
1226#95C2414yes—
1227#95C2414yes—
1228#95C2414yes—
1229#95C2414yes—
1230#95C2414yes—
1231#95C2414yes—
1232#95C2411yescharacteristic
1233#95C2414yes—
1234#95C2414yes—
1235#95C2414yes—
1236#95C2411yescharacteristic
1237#95C2411yescharacteristic
1238#95C2411yescharacteristic
1239#95C2414yes—
1240#95C2414yes—
1241#95C2411yescharacteristic
1242#95C2414yes—
1243#95C2414yes—
1244#95C2414yes—
1245#95C2414yes—
1246#95C2414yes—
1247#95C2414yes—
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—
1267C24C2511yescharacteristic
1268C24C2511yescharacteristic
1269C24C2511yescharacteristic
1270C2×Q8—24no—
1271C2×Q8—22no—
1272C2×Q8—24no—
1273C2×Q8—24no—
1274C2×Q8—24no—
1275C2×Q8—28no—
1276C2×Q8—24no—
1277C2×Q8—24no—
1278C2×Q8—24no—
1279C2×Q8—24no—
1280C2×Q8—24no—
1281C2×Q8—24no—
1282C2×Q8—24no—
1283C2×Q8—41no—
1284C2×Q8—41no—
1285C2×Q8—44no—
1286C2×Q8—44no—
1287C2×Q8—816no—
1288C2×Q8C2×#4118yes—
1289C2×D4—22no—
1290C2×D4—22no—
1291C2×D4—22no—
1292C2×D4—22no—
1293C2×D4—41no—
1294C2×D4—41no—
1295C2×D4—41no—
1296C2×D4—41no—
1297C2×D4C2×#4114yes—
1298C22×C4—22no—
1299C22×C4—22no—
1300C22×C4—22no—
1301C22×C4—22no—
1302C22×C4—22no—
1303C22×C4—22no—
1304C22×C4—22no—
1305C22×C4—22no—
1306C22×C4—28no—
1307C22×C4—22no—
1308C22×C4—22no—
1309C22×C4—22no—
1310C22×C4—22no—
1311C22×C4—22no—
1312C22×C4—22no—
1313C22×C4—22no—
1314C22×C4—22no—
1315C22×C4—22no—
1316C22×C4—22no—
1317C22×C4—22no—
1318C22×C4—22no—
1319C22×C4—22no—
1320C22×C4—22no—
1321C22×C4—22no—
1322C22×C4—22no—
1323C22×C4—22no—
1324C22×C4—22no—
1325C22×C4—22no—
1326C22×C4—22no—
1327C22×C4—22no—
1328C22×C4—22no—
1329C22×C4—28no—
1330C22×C4—41no—
1331C22×C4—41no—
1332C22×C4—41no—
1333C22×C4—41no—
1334C22×C4—41no—
1335C22×C4—41no—
1336C22×C4—44no—
1337C22×C4—44no—
1338C22×C4—44no—
1339C22×C4—44no—
1340C22×C4C2×#4114yes—
1341C22×C4C2×#4114yes—
1342C22×C42−1+414yes—
1343C22×C4C2511yescharacteristic
1344C22×C4C2511yescharacteristic
1345C22×C4C2511yescharacteristic
1346C22×C4C2511yescharacteristic
1347C22×C4C2511yescharacteristic
1348C22×C4C2511yescharacteristic
1349C22×C4C2511yescharacteristic
1350C22×C4C2514yes—
1351C22×C4C2514yes—
1352C22×C4C2511yescharacteristic
1353C22×C4C2511yescharacteristic
1354C22×C4C2511yescharacteristic
1355C22×C4C2511yescharacteristic
1356C22×C4C2514yes—
1357C22×C4C2511yescharacteristic
1358C22×C4C2511yescharacteristic
1359C22×C4C2514yes—
1360C22×C4C2514yes—
1361C22×C4C2511yescharacteristic
1362C22×C4C2514yes—
1363C22×C4C2511yescharacteristic
1364C22×C4C2511yescharacteristic
1365C22×C4C2511yescharacteristic
1366C22×C4C2511yescharacteristic
1367C22×C4C2514yes—
1368C22×C4C2511yescharacteristic
1369C22×C4C2511yescharacteristic
1370C22×C4C2511yescharacteristic
1371C22×C4C2514yes—
1372C22×C4C2511yescharacteristic
1373C22×C4C2511yescharacteristic
1374C22×C4C2511yescharacteristic
1375C22×C4C2511yescharacteristic
1376C22×C4C2511yescharacteristic
1377C22×C4C2511yescharacteristic
1378C22×C4C2511yescharacteristic
1379C4⋊C4—24no—
1380C4⋊C4—24no—
1381C4⋊C4—28no—
1382C4⋊C4—28no—
1383C4⋊C4—28no—
1384C4⋊C4—24no—
1385C4⋊C4—24no—
1386C4⋊C4—24no—
1387C4⋊C4—28no—
1388C4⋊C4—22no—
1389C4⋊C4—22no—
1390C4⋊C4—22no—
1391C4⋊C4—22no—
1392C4⋊C4—28no—
1393C4⋊C4—24no—
1394C4⋊C4—24no—
1395C4⋊C4—22no—
1396C4⋊C4—22no—
1397C4⋊C4—22no—
1398C4⋊C4—28no—
1399C4⋊C4—28no—
1400C4⋊C4—28no—
1401C4⋊C4—28no—
1402C4⋊C4—24no—
1403C4⋊C4—24no—
1404C4⋊C4—28no—
1405C4⋊C4—22no—
1406C4⋊C4—22no—
1407C4⋊C4—28no—
1408C4⋊C4—28no—
1409C4⋊C4—22no—
1410C4⋊C4—22no—
1411C4⋊C4—22no—
1412C4⋊C4—22no—
1413C4⋊C4—22no—
1414C4⋊C4—22no—
1415C4⋊C4—24no—
1416C4⋊C4—28no—
1417C4⋊C4—24no—
1418C4⋊C4—28no—
1419C4⋊C4—24no—
1420C4⋊C4—24no—
1421C4⋊C4—24no—
1422C4⋊C4—24no—
1423C4⋊C4—24no—
1424C4⋊C4—24no—
1425C4⋊C4—24no—
1426C4⋊C4—44no—
1427C4⋊C4—44no—
1428C4⋊C4—41no—
1429C4⋊C4—41no—
1430C4⋊C4—41no—
1431C4⋊C4—41no—
1432C4⋊C4—41no—
1433C4⋊C4—41no—
1434C4⋊C4—44no—
1435C4⋊C4—44no—
1436C4⋊C4—44no—
1437C4⋊C4—44no—
1438C4⋊C4—41no—
1439C4⋊C4—41no—
1440C4⋊C4—41no—
1441C4⋊C4—41no—
1442C4⋊C4—44no—
1443C4⋊C4—44no—
1444C4⋊C4—44no—
1445C4⋊C4—44no—
1446C4⋊C4—44no—
1447C4⋊C4—44no—
1448C4⋊C4—44no—
1449C4⋊C4—44no—
1450C4⋊C4—44no—
1451C4⋊C4—44no—
1452C4⋊C4—44no—
1453C4⋊C4C2×#4118yes—
1454C4⋊C4C2×#4118yes—
1455C4⋊C4C2×#4114yes—
1456C22⋊C4—22no—
1457C22⋊C4—22no—
1458C22⋊C4—28no—
1459C22⋊C4—22no—
1460C22⋊C4—22no—
1461C22⋊C4—28no—
1462C22⋊C4—22no—
1463C22⋊C4—22no—
1464C22⋊C4—28no—
1465C22⋊C4—22no—
1466C22⋊C4—22no—
1467C22⋊C4—28no—
1468C22⋊C4—28no—
1469C22⋊C4—28no—
1470C22⋊C4—22no—
1471C22⋊C4—22no—
1472C22⋊C4—22no—
1473C22⋊C4—22no—
1474C22⋊C4—22no—
1475C22⋊C4—22no—
1476C22⋊C4—22no—
1477C22⋊C4—22no—
1478C22⋊C4—44no—
1479C22⋊C4—41no—
1480C22⋊C4—41no—
1481C22⋊C4—41no—
1482C22⋊C4—41no—
1483C22⋊C4—41no—
1484C22⋊C4—41no—
1485C22⋊C4—41no—
1486C22⋊C4—41no—
1487C22⋊C4—44no—
1488C22⋊C4—44no—
1489C22⋊C4—44no—
1490C22⋊C4C2×#4114yes—
1491C22⋊C4C2×#4114yes—
1492C42—22no—
1493C42—22no—
1494C42—22no—
1495C42—22no—
1496C42—22no—
1497C42—22no—
1498C42—22no—
1499C42—22no—
1500C42—22no—
1501C42—22no—
1502C42—22no—
1503C42—22no—
1504C42—28no—
1505C42—22no—
1506C42—22no—
1507C42—28no—
1508C42—28no—
1509C42—28no—
1510C42—22no—
1511C42—22no—
1512C42—22no—
1513C42—22no—
1514C42—22no—
1515C42—22no—
1516C42—22no—
1517C42—22no—
1518C42—22no—
1519C42—22no—
1520C42—22no—
1521C42—28no—
1522C42—22no—
1523C42—22no—
1524C42—22no—
1525C42—22no—
1526C42—22no—
1527C42—22no—
1528C42—22no—
1529C42—22no—
1530C42—22no—
1531C42—22no—
1532C42—22no—
1533C42—22no—
1534C42—41no—
1535C42—41no—
1536C42—41no—
1537C42—41no—
1538C42—41no—
1539C42—41no—
1540C42—44no—
1541C42—44no—
1542C42—44no—
1543C42—44no—
1544C42—44no—
1545C42—44no—
1546C42—44no—
1547C42—44no—
1548C42—44no—
1549C42C2×#4114yes—
1550C42C2×#4114yes—
1551C422−1+414yes—
1552C23—21no—
1553C23—21no—
1554C23—21no—
1555C23—21no—
1556C23—21no—
1557C23—21no—
1558C23—21no—
1559C23—21no—
1560C23—21no—
1561C23—21no—
1562C23—21no—
1563C23—21no—
1564C23—21no—
1565C23—21no—
1566C23—21no—
1567C23—21no—
1568C23—21no—
1569C23—21no—
1570C23C22×#4112yes—
1571C23C22×#4112yes—
1572C23C2×2−1+412yes—
1573C23C2611yescharacteristic
1574Q8—216no—
1575Q8—44no—
1576Q8—48no—
1577Q8—48no—
1578Q8—48no—
1579Q8—88no—
1580D4—44no—
1581D4—44no—
1582D4—44no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—24no—
1598C2×C4—24no—
1599C2×C4—28no—
1600C2×C4—28no—
1601C2×C4—28no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—24no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—24no—
1615C2×C4—24no—
1616C2×C4—21no—
1617C2×C4—21no—
1618C2×C4—24no—
1619C2×C4—24no—
1620C2×C4—24no—
1621C2×C4—24no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—21no—
1625C2×C4—21no—
1626C2×C4—21no—
1627C2×C4—21no—
1628C2×C4—21no—
1629C2×C4—21no—
1630C2×C4—21no—
1631C2×C4—21no—
1632C2×C4—21no—
1633C2×C4—24no—
1634C2×C4—21no—
1635C2×C4—21no—
1636C2×C4—24no—
1637C2×C4—24no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—24no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—21no—
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—21no—
1656C2×C4—21no—
1657C2×C4—21no—
1658C2×C4—21no—
1659C2×C4—21no—
1660C2×C4—24no—
1661C2×C4—24no—
1662C2×C4—24no—
1663C2×C4—24no—
1664C2×C4—21no—
1665C2×C4—24no—
1666C2×C4—24no—
1667C2×C4—24no—
1668C2×C4—24no—
1669C2×C4—24no—
1670C2×C4—24no—
1671C2×C4—21no—
1672C2×C4—21no—
1673C2×C4—21no—
1674C2×C4—21no—
1675C2×C4—21no—
1676C2×C4—21no—
1677C2×C4—44no—
1678C2×C4—44no—
1679C2×C4—44no—
1680C2×C4—44no—
1681C2×C4—44no—
1682C2×C4—44no—
1683C2×C4—44no—
1684C2×C4—44no—
1685C2×C4—44no—
1686C2×C4—44no—
1687C2×C4—88no—
1688C2×C4—88no—
1689C2×C4C22×#4112yes—
1690C2×C4C22×#4112yes—
1691C2×C4C22×#4118yes—
1692C2×C4C22×#4112yes—
1693C2×C4C22×#4112yes—
1694C2×C4C22×#4112yes—
1695C2×C4C22×#4112yes—
1696C2×C4C22×#4112yes—
1697C2×C4C22×#4112yes—
1698C2×C4C2×2−1+412yes—
1699C2×C4C2×2−1+412yes—
1700C2×C4C2×2−1+412yes—
1701C2×C4C2×2−1+412yes—
1702C2×C4C2×2−1+412yes—
1703C2×C4#58512yes—
1704C2×C4#58512yes—
1705C2×C4#58512yes—
1706C22—22no—
1707C22—22no—
1708C22—22no—
1709C22—22no—
1710C22—22no—
1711C22—22no—
1712C22—22no—
1713C22—22no—
1714C22—22no—
1715C22—41no—
1716C22—41no—
1717C22—41no—
1718C22—41no—
1719C22—41no—
1720C22—41no—
1721C22—41no—
1722C22—41no—
1723C22—41no—
1724C22—41no—
1725C22—41no—
1726C22—41no—
1727C22C23×#4111yescharacteristic
1728C22C23×#4111yescharacteristic
1729C22C22×2−1+411yescharacteristic
1730C22C22×2−1+411yescharacteristic
1731C22C2×#58511yescharacteristic
1732C22C2×#58511yescharacteristic
1733C22C2×#58511yescharacteristic
1734C4—28no—
1735C4—22no—
1736C4—22no—
1737C4—22no—
1738C4—22no—
1739C4—22no—
1740C4—22no—
1741C4—22no—
1742C4—41no—
1743C4—41no—
1744C4—41no—
1745C4—44no—
1746C4—41no—
1747C4—41no—
1748C4—44no—
1749C4—44no—
1750C4—41no—
1751C4—41no—
1752C4—41no—
1753C4—41no—
1754C4—44no—
1755C4—44no—
1756C4—41no—
1757C4—41no—
1758C4—41no—
1759C4—41no—
1760C4—41no—
1761C4—41no—
1762C4—41no—
1763C4—44no—
1764C4—41no—
1765C4—41no—
1766C4—44no—
1767C4#348214yes—
1768C4#351614yes—
1769C4#352114yes—
1770C2—42no—
1771C2—42no—
1772C2—42no—
1773C2C2×#348211yescharacteristic
1774C2C2×#352111yescharacteristic
1775C2C2×#351611yescharacteristic
1776C2#6280511yescharacteristic
1777C2#6281511yescharacteristic
1778C2#6283711yescharacteristic
1779C2#6283811yescharacteristic
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. #59963C2semidirect
2. #59946C2semidirect
3. #59920C2semidirect
5. #59574C2semidirect
6. #59511C2semidirect
7. #59400C2semidirect
8. #59383C2semidirect
9. #40107C2semidirect
10. #40106C2semidirect
11. #40095C2semidirect
13. #39153C2semidirect
15. #38267C2semidirect
16. #38265C2semidirect
17. #36635C2semidirect
18. #36608C2semidirect
19. #36574C2semidirect
20. #36451C2semidirect
21. #36448C2semidirect
22. #36409C2semidirect
23. #36408C2semidirect
24. #36210C2semidirect
25. #36189C2semidirect
26. #36181C2semidirect
27. #36151C2semidirect
28. #36129C2semidirect
29. #36129C2semidirect
30. #35648C2semidirect
31. #35647C2semidirect
32. #35291C2semidirect
33. #35291C2semidirect
34. #35221C2semidirect
35. #34318C2semidirect
36. #34216C2semidirect
37. #34214C2semidirect
38. C4×#533C2semidirect

Maximal subgroups

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

subgroupindex
#599632
#599462
#599202
#598592
#595742
#595112
#594002
#593832
#401072
#401062
#400952
#400942
#391532
#389152
#382672
#382652
#366352
#366082
#365742
#364512
#364482
#364092
#364082
#362102
#361892
#361812
#361512
#361292
#356482
#356472
#352912
#352212
#343182
#342162
#342142
C4×#5332
C4×#5292