Finite Group Databasebeta

← #7987173

Subgroups — #7987173

Order 512.

6676 conjugacy classes of subgroups.

The subgroup lattice has 1852 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3547C211yesmaximal, characteristic, complemented
2C2×#3544C211yesmaximal, characteristic, complemented
3#59655C211yesmaximal, characteristic, complemented
4#59409C212yesmaximal, complemented
5#59318C212yesmaximal, complemented
6#59136C211yesmaximal, characteristic, complemented
7#59081C211yesmaximal, characteristic, complemented
8#51545C214yesmaximal, complemented
9#51541C214yesmaximal, complemented
10#46149C214yesmaximal, complemented
11#45096C212yesmaximal, complemented
12#45095C212yesmaximal, complemented
13#44873C212yesmaximal, complemented
14#44869C212yesmaximal, complemented
15#42994C212yesmaximal, complemented
16#42978C212yesmaximal, complemented
17#42965C212yesmaximal, complemented
18#42964C212yesmaximal, complemented
19#39470C211yesmaximal, characteristic, complemented
20#39432C212yesmaximal, complemented
21#39418C214yesmaximal, complemented
22#39346C212yesmaximal, complemented
23#38921C211yesmaximal, characteristic, complemented
24#38920C211yesmaximal, characteristic, complemented
25#38911C211yesmaximal, characteristic, complemented
26#36276C211yesmaximal, characteristic, complemented
27#36272C212yesmaximal, complemented
28#36269C212yesmaximal, complemented
29#36164C211yesmaximal, characteristic, complemented
30#36129C211yesmaximal, characteristic, complemented
31#35330C212yesmaximal, complemented
32#35312C212yesmaximal, complemented
33#34932C211yesmaximal, characteristic, complemented
34#34889C211yesmaximal, characteristic, complemented
35C4×#555C211yesmaximal, characteristic, complemented
36#3547—216no—
37#3544—216no—
38C2×#563C2214yes—
39C2×#562C2214yes—
40C2×Q82C2211yescharacteristic
41C2×#555C2212yes—
42C2×#555C2211yescharacteristic
43C2×#554C2211yescharacteristic
44C2×#554C2211yescharacteristic
45C2×#554C2211yescharacteristic
46C2×#553C2212yes—
47C2×#552C2212yes—
48C2×#552C2212yes—
49C2×#552C2212yes—
50C2×D4×Q8C2211yescharacteristic
51C2×#548C2212yes—
52C2×#547C2211yescharacteristic
53C2×#547C2212yes—
54C2×#547C2212yes—
55C2×#544C2212yes—
56C2×#544C2212yes—
57C2×#544C2212yes—
58C2×#542C2212yes—
59C2×#542C2212yes—
60C2×#542C2214yes—
61C2×#540C2212yes—
62C2×#537C2212yes—
63C2×#536C2214yes—
64C2×#536C2212yes—
65C2×#533C2211yescharacteristic
66C2×#532C2211yescharacteristic
67C22×C4⋊Q8C2211yescharacteristic
68C2×#529C2211yescharacteristic
69C2×#529C2211yescharacteristic
70C2×#529C2211yescharacteristic
71#2862C2214yes—
72#2862C2211yescharacteristic
73#2861C2214yes—
74#2859C2214yes—
75#2857C2211yescharacteristic
76#2857C2212yes—
77#2857C2211yescharacteristic
78#2850C2212yes—
79#2822C2214yes—
80#2820C2214yes—
81#2729C2214yes—
82#2729C2214yes—
83#2729C2214yes—
84#2718C2214yes—
85#2718C2214yes—
86#2718C2214yes—
87#2708C2214yes—
88#2708C2214yes—
89#2706C2214yes—
90#2706C2214yes—
91#2706C2214yes—
92#2701C2214yes—
93#2701C2214yes—
94#2700C2214yes—
95#2700C2214yes—
96#2700C2214yes—
97#2698C2214yes—
98#2698C2214yes—
99#2698C2214yes—
100#2689C2214yes—
101#2689C2214yes—
102#2689C2214yes—
103#2687C2214yes—
104#2687C2214yes—
105#2687C2214yes—
106#2686C2214yes—
107#2686C2214yes—
108#2681C2214yes—
109#2681C2214yes—
110#2681C2214yes—
111#2680C2214yes—
112#2680C2214yes—
113#2680C2214yes—
114#2660C2214yes—
115#2660C2214yes—
116#2642C2214yes—
117#2640C2214yes—
118#2628C2214yes—
119#2625C2212yes—
120#2625C2212yes—
121#2624C2212yes—
122#2621C2214yes—
123#2616C2212yes—
124#2611C2214yes—
125#2611C2214yes—
126#2611C2214yes—
127#2610C2214yes—
128#2582C2211yescharacteristic
129#2568C2211yescharacteristic
130#2567C2211yescharacteristic
131#2563C2211yescharacteristic
132#2559C2214yes—
133#2559C2212yes—
134#2557C2214yes—
135#2557C2212yes—
136#2553C2212yes—
137#2553C2214yes—
138#2553C2212yes—
139#2553C2214yes—
140#2552C2212yes—
141#2552C2211yescharacteristic
142#2550C2212yes—
143#2550C2211yescharacteristic
144#2550C2212yes—
145#2550C2212yes—
146#2550C2212yes—
147#2550C2212yes—
148#2550C2212yes—
149#2550C2212yes—
150#2550C2212yes—
151#2549C2214yes—
152#2549C2214yes—
153#2549C2214yes—
154#2549C2214yes—
155#2549C2214yes—
156#2549C2214yes—
157#2547C2211yescharacteristic
158#2546C2211yescharacteristic
159#2544C2211yescharacteristic
160#2542C2212yes—
161#2542C2211yescharacteristic
162#2540C2211yescharacteristic
163#2538C2211yescharacteristic
164#2537C2211yescharacteristic
165#2535C2211yescharacteristic
166#2521C2214yes—
167#2521C2212yes—
168#2504C2212yes—
169#2503C2212yes—
170#2502C2212yes—
171#2496C2214yes—
172#2496C2212yes—
173#2492C2212yes—
174#2492C2212yes—
175#2492C2212yes—
176#2492C2212yes—
177#2492C2211yescharacteristic
178#2492C2212yes—
179#2490C2212yes—
180#2490C2211yescharacteristic
181#2489C2212yes—
182#2489C2212yes—
183#2489C2212yes—
184#2489C2212yes—
185#2489C2211yescharacteristic
186#2489C2211yescharacteristic
187#2488C2214yes—
188#2488C2214yes—
189#2488C2214yes—
190#2488C2214yes—
191#2488C2214yes—
192#2488C2214yes—
193#2487C2212yes—
194#2486C2212yes—
195#2486C2212yes—
196#2464C2214yes—
197#2464C2212yes—
198#2453C2212yes—
199#2453C2212yes—
200#2452C2212yes—
201#2452C2212yes—
202#2451C2212yes—
203#2451C2212yes—
204#2447C2212yes—
205#2447C2214yes—
206#2447C2212yes—
207#2446C2212yes—
208#2446C2214yes—
209#2445C2212yes—
210#2442C2212yes—
211#2442C2212yes—
212#2440C2212yes—
213#2440C2212yes—
214#2439C2212yes—
215#2439C2212yes—
216#2434C2212yes—
217#2432C2212yes—
218#2430C2214yes—
219#2430C2214yes—
220#2429C2212yes—
221#2429C2214yes—
222#2429C2212yes—
223#2429C2212yes—
224#2428C2211yescharacteristic
225#2427C2211yescharacteristic
226#2427C2214yes—
227#2427C2211yescharacteristic
228#2427C2211yescharacteristic
229#2425C2214yes—
230#2425C2214yes—
231#2422C2212yes—
232#2422C2214yes—
233#2422C2212yes—
234#2420C2212yes—
235#2420C2212yes—
236#2419C2214yes—
237#2419C2214yes—
238#2417C2212yes—
239#2417C2212yes—
240#2415C2212yes—
241#2415C2212yes—
242#2415C2212yes—
243#2414C2212yes—
244#2409C2214yes—
245#2409C2212yes—
246#2409C2212yes—
247#2407C2212yes—
248#2407C2214yes—
249#2395C2212yes—
250#2395C2212yes—
251#2395C2212yes—
252#2388C2212yes—
253#2372C2214yes—
254#2369C2211yescharacteristic
255#2367C2212yes—
256#2365C2212yes—
257#2363C2212yes—
258#2363C2212yes—
259#2362C2212yes—
260#2361C2212yes—
261#2360C2212yes—
262#2360C2212yes—
263#2354C2211yescharacteristic
264#2354C2211yescharacteristic
265#2352C2212yes—
266#2349C2212yes—
267#2349C2212yes—
268D4×C4⋊C4C2212yes—
269#2346C2212yes—
270#2346C2212yes—
271Q8×C22⋊C4C2212yes—
272#2339C2212yes—
273#2339C2214yes—
274#2339C2212yes—
275#2317C2212yes—
276#2317C2212yes—
277#2311C2212yes—
278#2310C2212yes—
279C4×C4⋊Q8C2211yescharacteristic
280C4×C4⋊Q8C2211yescharacteristic
281C4×#124C2211yescharacteristic
282C4×#124C2214yes—
283C4×C22⋊Q8C2211yescharacteristic
284C4×C22⋊Q8C2211yescharacteristic
285C4×C22⋊Q8C2211yescharacteristic
286C4×#121C2211yescharacteristic
287C4×#121C2212yes—
288C4×#121C2212yes—
289C4×#121C2212yes—
290C4×#121C2212yes—
291#2297C2212yes—
292C2×#391C2212yes—
293#2293C2214yes—
294#2285C2212yes—
295C2×#382C2212yes—
296C42×D4C2211yescharacteristic
297C42×D4C2211yescharacteristic
298C42×D4C2211yescharacteristic
299C4×#117C2212yes—
300C4×#117C2212yes—
301C22×#41C2312yes—
302C22×#41C2312yes—
303C22×#41C2314yes—
304C23×Q8C2312yes—
305C23×Q8C2312yes—
306#563—232no—
307#562—232no—
308Q82—28no—
309#555—216no—
310#555D4116yescomplemented
311#554—28no—
312#554—28no—
313#554—28no—
314#553—216no—
315#552—216no—
316#552—216no—
317#552—216no—
318D4×Q8—28no—
319#548—216no—
320#547—216no—
321#547—216no—
322#547—28no—
323#544—216no—
324#544—216no—
325#544—216no—
326#542—232no—
327#542—216no—
328#542—216no—
329#540—216no—
330#537—216no—
331#536—232no—
332#536—216no—
333#533—28no—
334#532—28no—
335C2×C4⋊Q8—28no—
336C2×C4⋊Q8C2311yescharacteristic
337C2×C4⋊Q8C2311yescharacteristic
338C2×C4⋊Q8C2314yes—
339C2×C4⋊Q8C2314yes—
340C2×C4⋊Q8C2312yes—
341C2×C4⋊Q8C2312yes—
342C2×C4⋊Q8C2312yes—
343C2×C4⋊Q8C2311yescharacteristic
344C2×C4⋊Q8C2314yes—
345C2×C4⋊Q8C2312yes—
346C2×C4⋊Q8C2312yes—
347C2×C4⋊Q8C2312yes—
348C2×C4⋊Q8C2311yescharacteristic
349C2×C4⋊Q8C2312yes—
350C2×C4⋊Q8C2311yescharacteristic
351C2×#127C2311yescharacteristic
352#529—28no—
353#529—28no—
354#529—28no—
355C2×#126C2312yes—
356C2×#126C2312yes—
357C2×#126C2312yes—
358C2×#126C2314yes—
359C2×#126C2314yes—
360C2×#126C2314yes—
361C2×#125C2314yes—
362C2×#125C2314yes—
363C2×#125C2314yes—
364C2×#125C2311yescharacteristic
365C2×#125C2311yescharacteristic
366C2×#125C2311yescharacteristic
367C2×#125C2312yes—
368C2×#125C2312yes—
369C2×#125C2312yes—
370C2×#125C2312yes—
371C2×#124C2314yes—
372C2×#124C2311yescharacteristic
373C2×#124C2311yescharacteristic
374C2×#124C2311yescharacteristic
375C2×#124C2311yescharacteristic
376C2×#124C2312yes—
377C2×#124C2314yes—
378C2×#124C2314yes—
379C2×#124C2314yes—
380C2×#123C2312yes—
381C2×#123C2312yes—
382C2×#123C2312yes—
383C2×#123C2314yes—
384C2×#123C2314yes—
385C2×#123C2314yes—
386C2×#123C2314yes—
387C2×#123C2314yes—
388C2×#123C2314yes—
389C2×#123C2314yes—
390C2×#123C2314yes—
391C2×#123C2314yes—
392C2×#123C2314yes—
393C2×C22⋊Q8C2312yes—
394C2×C22⋊Q8C2312yes—
395C2×C22⋊Q8C2312yes—
396C2×C22⋊Q8C2311yescharacteristic
397C2×C22⋊Q8C2312yes—
398C2×C22⋊Q8C2314yes—
399C2×C22⋊Q8C2311yescharacteristic
400C2×C22⋊Q8C2311yescharacteristic
401C2×C22⋊Q8C2311yescharacteristic
402C2×C22⋊Q8C2312yes—
403C2×C22⋊Q8C2312yes—
404C2×C22⋊Q8C2314yes—
405C2×C22⋊Q8C2314yes—
406C2×C22⋊Q8C2314yes—
407C2×C22⋊Q8C2314yes—
408C2×C22⋊Q8C2312yes—
409C2×C22⋊Q8C2314yes—
410C2×C22⋊Q8C2314yes—
411C2×C22⋊Q8C2314yes—
412C2×C22⋊Q8C2314yes—
413C2×C22⋊Q8C2314yes—
414C2×C22⋊Q8C2312yes—
415C2×C22⋊Q8C2312yes—
416C2×C22⋊Q8C2311yescharacteristic
417C2×C22⋊Q8C2311yescharacteristic
418C2×C22⋊Q8C2312yes—
419C2×C22⋊Q8C2314yes—
420C2×C22⋊Q8C2314yes—
421C2×#121C2312yes—
422C2×#121C2311yescharacteristic
423C2×#121C2311yescharacteristic
424C2×#121C2314yes—
425C2×#121C2311yescharacteristic
426C2×#121C2311yescharacteristic
427C2×#121C2311yescharacteristic
428C2×#121C2312yes—
429C2×#121C2311yescharacteristic
430C2×#121C2314yes—
431C2×#121C2314yes—
432C2×#121C2314yes—
433C2×#121C2312yes—
434C2×#121C2312yes—
435C2×#121C2312yes—
436C2×#121C2312yes—
437C2×C4×Q8C2311yescharacteristic
438C2×C4×Q8C2311yescharacteristic
439C2×C4×Q8C2311yescharacteristic
440C2×C4×Q8C2312yes—
441C2×C4×Q8C2312yes—
442C2×C4×Q8C2312yes—
443C2×C4×Q8C2312yes—
444C2×C4×Q8C2312yes—
445C2×C4×D4C2311yescharacteristic
446C2×C4×D4C2312yes—
447C2×C4×D4C2314yes—
448C2×C4×D4C2311yescharacteristic
449C2×C4×D4C2312yes—
450C2×C4×D4C2312yes—
451C2×C4×D4C2311yescharacteristic
452C2×C4×D4C2311yescharacteristic
453C2×C4×D4C2312yes—
454C2×C4×D4C2312yes—
455C2×C4×D4C2312yes—
456C2×C4×D4C2312yes—
457C2×C4×D4C2312yes—
458C2×C4×D4C2311yescharacteristic
459C2×C4×D4C2311yescharacteristic
460C2×C4×D4C2314yes—
461C2×C4×D4C2312yes—
462C2×C4×D4C2311yescharacteristic
463C2×C4×D4C2311yescharacteristic
464C2×C4×D4C2314yes—
465C2×C4×D4C2311yescharacteristic
466C2×C4×D4C2311yescharacteristic
467C2×#117C2312yes—
468C2×#117C2312yes—
469C2×#117C2312yes—
470C2×#117C2312yes—
471C2×#117C2312yes—
472C2×#117C2314yes—
473C2×#117C2314yes—
474C2×#117C2312yes—
475C2×#117C2312yes—
476C2×#117C2312yes—
477C22×C4⋊C4C2312yes—
478C22×C4⋊C4C2312yes—
479C22×C4⋊C4C2312yes—
480C22×C4⋊C4C2312yes—
481C22×C4⋊C4C2312yes—
482C22×C4⋊C4C2312yes—
483C22×C42C2312yes—
484C22×C42C2311yescharacteristic
485C22×C42C2311yescharacteristic
486C22×C42C2312yes—
487#400C2312yes—
488#400C2314yes—
489#400C2314yes—
490#400C2314yes—
491#400C2314yes—
492#400C2312yes—
493#400C2314yes—
494#400C2314yes—
495#400C2312yes—
496#400C2314yes—
497#400C2314yes—
498#400C2314yes—
499#400C2314yes—
500#399C2312yes—
501#399C2314yes—
502#399C2312yes—
503#399C2314yes—
504#399C2312yes—
505#398C2312yes—
506#398C2314yes—
507#398C2314yes—
508#398C2314yes—
509#398C2314yes—
510#398C2314yes—
511#398C2314yes—
512#398C2314yes—
513#398C2314yes—
514#398C2314yes—
515#398C2314yes—
516#398C2312yes—
517#398C2314yes—
518#398C2312yes—
519#398C2314yes—
520#398C2314yes—
521#398C2314yes—
522#398C2314yes—
523#398C2314yes—
524#397C2314yes—
525#397C2314yes—
526#397C2312yes—
527#397C2314yes—
528#397C2314yes—
529#397C2312yes—
530#397C2314yes—
531#397C2314yes—
532#397C2314yes—
533#397C2314yes—
534#397C2314yes—
535#397C2312yes—
536#397C2312yes—
537#397C2312yes—
538#397C2312yes—
539#397C2312yes—
540#397C2312yes—
541#397C2312yes—
542#397C2314yes—
543#397C2314yes—
544#397C2314yes—
545#396C2314yes—
546#396C2314yes—
547#396C2314yes—
548#396C2314yes—
549#396C2314yes—
550#395C2314yes—
551#395C2314yes—
552#395C2314yes—
553#395C2314yes—
554#395C2314yes—
555#395C2312yes—
556#395C2314yes—
557#395C2314yes—
558#395C2314yes—
559#395C2314yes—
560#394C2312yes—
561#394C2314yes—
562#394C2314yes—
563#394C2314yes—
564#394C2314yes—
565#394C2314yes—
566#394C2312yes—
567#394C2312yes—
568#394C2312yes—
569#394C2312yes—
570#394C2312yes—
571#394C2312yes—
572#394C2312yes—
573#394C2312yes—
574#394C2314yes—
575#394C2314yes—
576#394C2314yes—
577#394C2314yes—
578#393C2314yes—
579#393C2314yes—
580#393C2312yes—
581#393C2314yes—
582#393C2314yes—
583#393C2314yes—
584#393C2314yes—
585#392C2312yes—
586#392C2312yes—
587#392C2312yes—
588#392C2314yes—
589#391C2311yescharacteristic
590#391C2312yes—
591#391C2311yescharacteristic
592#391C2311yescharacteristic
593#391C2312yes—
594#391C2312yes—
595#391C2312yes—
596#391C2314yes—
597#391C2314yes—
598#391C2314yes—
599#391C2312yes—
600#391C2312yes—
601#391C2312yes—
602#391C2312yes—
603#391C2312yes—
604#391C2312yes—
605#391C2314yes—
606#391C2314yes—
607#391C2312yes—
608#391C2314yes—
609#391C2312yes—
610#391C2314yes—
611#391C2314yes—
612#391C2312yes—
613#391C2314yes—
614#391C2312yes—
615#391C2314yes—
616#391C2311yescharacteristic
617#391C2314yes—
618#391C2311yescharacteristic
619#391C2314yes—
620#391C2312yes—
621#391C2312yes—
622#391C2311yescharacteristic
623#390C2312yes—
624#390C2314yes—
625#390C2312yes—
626#390C2312yes—
627#390C2312yes—
628#390C2312yes—
629#390C2314yes—
630#390C2314yes—
631#390C2312yes—
632#390C2311yescharacteristic
633#390C2312yes—
634#390C2311yescharacteristic
635#390C2312yes—
636#389C2312yes—
637#389C2312yes—
638#389C2312yes—
639#389C2312yes—
640#389C2312yes—
641#389C2312yes—
642#389C2311yescharacteristic
643#389C2311yescharacteristic
644#389C2312yes—
645#389C2312yes—
646#389C2312yes—
647#389C2312yes—
648#389C2312yes—
649#389C2312yes—
650#389C2314yes—
651#389C2314yes—
652#389C2312yes—
653#389C2312yes—
654#389C2312yes—
655#389C2312yes—
656#389C2312yes—
657#389C2314yes—
658#389C2314yes—
659#389C2314yes—
660#389C2314yes—
661#389C2314yes—
662#389C2314yes—
663#389C2312yes—
664#389C2312yes—
665#389C2314yes—
666#389C2311yescharacteristic
667#389C2314yes—
668#389C2314yes—
669#389C2311yescharacteristic
670#388C2314yes—
671#388C2314yes—
672#388C2314yes—
673#388C2314yes—
674#388C2314yes—
675#388C2314yes—
676#388C2312yes—
677#388C2314yes—
678#388C2314yes—
679#388C2314yes—
680#388C2314yes—
681#388C2314yes—
682#388C2314yes—
683#388C2314yes—
684#388C2314yes—
685#388C2314yes—
686#388C2314yes—
687#388C2312yes—
688#388C2312yes—
689#388C2314yes—
690#388C2314yes—
691#388C2312yes—
692#388C2312yes—
693#388C2312yes—
694#388C2312yes—
695#387C2314yes—
696#387C2314yes—
697#387C2314yes—
698#387C2314yes—
699#387C2314yes—
700#387C2314yes—
701#387C2312yes—
702#387C2312yes—
703#387C2312yes—
704#386C2314yes—
705#386C2314yes—
706#386C2314yes—
707#386C2314yes—
708#386C2312yes—
709#386C2312yes—
710#386C2314yes—
711#386C2314yes—
712#386C2314yes—
713#386C2314yes—
714#386C2314yes—
715#386C2314yes—
716#386C2314yes—
717#386C2314yes—
718#386C2312yes—
719#386C2312yes—
720#386C2312yes—
721#386C2312yes—
722#386C2312yes—
723#386C2312yes—
724#386C2312yes—
725#385C2314yes—
726#385C2314yes—
727#385C2314yes—
728#385C2314yes—
729#385C2314yes—
730#385C2314yes—
731#385C2314yes—
732#385C2314yes—
733#385C2314yes—
734#385C2314yes—
735#385C2314yes—
736#385C2314yes—
737#385C2314yes—
738#385C2314yes—
739#385C2312yes—
740#385C2314yes—
741#385C2314yes—
742#385C2312yes—
743#385C2312yes—
744#384C2311yescharacteristic
745#384C2311yescharacteristic
746#384C2312yes—
747#384C2314yes—
748#384C2314yes—
749#384C2312yes—
750#384C2312yes—
751#382C2312yes—
752#382C2314yes—
753#382C2312yes—
754#382C2314yes—
755#382C2314yes—
756#382C2312yes—
757#382C2312yes—
758#382C2314yes—
759#382C2312yes—
760#382C2312yes—
761#382C2314yes—
762#382C2311yescharacteristic
763#381C2314yes—
764#381C2314yes—
765#381C2314yes—
766#381C2314yes—
767#381C2314yes—
768#381C2314yes—
769#380C2312yes—
770#380C2312yes—
771#380C2311yescharacteristic
772#380C2312yes—
773#380C2312yes—
774#380C2314yes—
775#380C2312yes—
776#380C2314yes—
777#380C2314yes—
778#380C2314yes—
779#380C2312yes—
780#380C2312yes—
781#380C2312yes—
782#380C2312yes—
783#380C2311yescharacteristic
784#380C2312yes—
785#380C2312yes—
786#380C2312yes—
787#380C2312yes—
788#380C2312yes—
789#380C2311yescharacteristic
790#380C2311yescharacteristic
791#380C2312yes—
792C4×C4⋊C4C2312yes—
793C4×C4⋊C4C2312yes—
794C4×C4⋊C4C2312yes—
795C4×C4⋊C4C2312yes—
796C4×C4⋊C4C2311yescharacteristic
797C4×C4⋊C4C2311yescharacteristic
798C4×C4⋊C4C2311yescharacteristic
799C4×C4⋊C4C2311yescharacteristic
800C4×C4⋊C4C2312yes—
801C4×C4⋊C4C2312yes—
802C4×C4⋊C4C2312yes—
803C4×C4⋊C4C2312yes—
804C4×C4⋊C4C2314yes—
805C4×C4⋊C4C2312yes—
806C4×C4⋊C4C2311yescharacteristic
807C4×C4⋊C4C2312yes—
808C4×C4⋊C4C2312yes—
809C4×C4⋊C4C2311yescharacteristic
810C4×C4⋊C4C2311yescharacteristic
811C4×C4⋊C4C2311yescharacteristic
812C4×C4⋊C4C2311yescharacteristic
813C4×C22⋊C4C2314yes—
814C4×C22⋊C4C2312yes—
815C4×C22⋊C4C2312yes—
816C4×C22⋊C4C2311yescharacteristic
817C4×C22⋊C4C2312yes—
818C4×C22⋊C4C2312yes—
819C4×C22⋊C4C2311yescharacteristic
820C4×C22⋊C4C2314yes—
821C4×C22⋊C4C2312yes—
822C4×C22⋊C4C2312yes—
823C4×C22⋊C4C2314yes—
824C4×C22⋊C4C2314yes—
825C4×C22⋊C4C2312yes—
826C4×C22⋊C4C2312yes—
827C4×C22⋊C4C2312yes—
828C4×C22⋊C4C2311yescharacteristic
829C4×C22⋊C4C2311yescharacteristic
830C4×C22⋊C4C2312yes—
831C4×C22⋊C4C2311yescharacteristic
832C4×C22⋊C4C2311yescharacteristic
833C4×C22⋊C4C2314yes—
834C4×C22⋊C4C2312yes—
835C4×C22⋊C4C2314yes—
836C4×C22⋊C4C2312yes—
837#376C2314yes—
838#376C2314yes—
839C2×#95C2314yes—
840C2×#95C2314yes—
841C2×#95C2314yes—
842C2×#95C2314yes—
843C43C2311yescharacteristic
844C43C2314yes—
845C2×#41—216no—
846C2×#41—28no—
847C2×#41—28no—
848C2×#41—44no—
849C2×#41—44no—
850C2×#41—48no—
851C2×#41—44no—
852C2×#41—44no—
853C2×#41—84no—
854C22×Q8—28no—
855C22×Q8—28no—
856C22×Q8—44no—
857C22×Q8—44no—
858C22×Q8—44no—
859C22×Q8—82no—
860C22×Q8C2411yescharacteristic
861C22×Q8C2411yescharacteristic
862C22×Q8C2411yescharacteristic
863C22×Q8C2412yes—
864C22×Q8C2412yes—
865C22×Q8C2414yes—
866C22×Q8C2414yes—
867C22×Q8C2414yes—
868C22×Q8C2412yes—
869C22×Q8C2412yes—
870C22×D4C2411yescharacteristic
871C22×D4C2411yescharacteristic
872C22×D4C2412yes—
873C22×D4C2412yes—
874C22×D4C2412yes—
875C22×D4C2411yescharacteristic
876C22×D4C2411yescharacteristic
877C22×D4C2412yes—
878C22×D4C2412yes—
879C22×D4C2412yes—
880C22×D4C2414yes—
881C22×D4C2412yes—
882C22×D4C2412yes—
883C22×D4C2414yes—
884C23×C4C2411yescharacteristic
885C23×C4C2411yescharacteristic
886C23×C4C2412yes—
887C23×C4C2411yescharacteristic
888C23×C4C2411yescharacteristic
889C23×C4C2414yes—
890C23×C4C2411yescharacteristic
891C23×C4C2412yes—
892C23×C4C2412yes—
893C23×C4C2414yes—
894C23×C4C2414yes—
895C23×C4C2414yes—
896C23×C4C2414yes—
897C23×C4C2412yes—
898C23×C4C2412yes—
899C23×C4C2414yes—
900C23×C4C2411yescharacteristic
901C23×C4C2412yes—
902C23×C4C2412yes—
903C4⋊Q8—28no—
904C4⋊Q8—216no—
905C4⋊Q8—28no—
906C4⋊Q8—28no—
907C4⋊Q8—24no—
908C4⋊Q8—28no—
909C4⋊Q8—28no—
910C4⋊Q8—28no—
911C4⋊Q8—24no—
912C4⋊Q8—24no—
913C4⋊Q8—216no—
914C4⋊Q8—216no—
915C4⋊Q8—44no—
916C4⋊Q8—42no—
917C4⋊Q8C2×D418yes—
918#127—24no—
919#126—28no—
920#126—28no—
921#126—28no—
922#126—216no—
923#126—216no—
924#126—216no—
925#125—24no—
926#125—24no—
927#125—24no—
928#125—28no—
929#125—28no—
930#125—28no—
931#125—28no—
932#125—216no—
933#125—216no—
934#125—216no—
935#124—24no—
936#124—24no—
937#124—24no—
938#124—216no—
939#124—28no—
940#124—216no—
941#124—216no—
942#124—24no—
943#124C2×D4132yes—
944#123—216no—
945#123—216no—
946#123—28no—
947#123—28no—
948#123—28no—
949#123—216no—
950#123—216no—
951#123—216no—
952#123—216no—
953#123—216no—
954#123—216no—
955#123—84no—
956#123—84no—
957C22⋊Q8—28no—
958C22⋊Q8—216no—
959C22⋊Q8—28no—
960C22⋊Q8—28no—
961C22⋊Q8—28no—
962C22⋊Q8—24no—
963C22⋊Q8—24no—
964C22⋊Q8—24no—
965C22⋊Q8—28no—
966C22⋊Q8—28no—
967C22⋊Q8—28no—
968C22⋊Q8—24no—
969C22⋊Q8—216no—
970C22⋊Q8—216no—
971C22⋊Q8—216no—
972C22⋊Q8—216no—
973C22⋊Q8—216no—
974C22⋊Q8—216no—
975C22⋊Q8—216no—
976C22⋊Q8—216no—
977C22⋊Q8—216no—
978C22⋊Q8—44no—
979C22⋊Q8—44no—
980C22⋊Q8—42no—
981C22⋊Q8—42no—
982C22⋊Q8—84no—
983C22⋊Q8—84no—
984C22⋊Q8—82no—
985#121—24no—
986#121—24no—
987#121—24no—
988#121—24no—
989#121—216no—
990#121—216no—
991#121—216no—
992#121—28no—
993#121—24no—
994#121—24no—
995#121—28no—
996#121—216no—
997#121—44no—
998#121—44no—
999#121C2×D4116yes—
1000#121C2×D4116yes—
1001C4×Q8—28no—
1002C4×Q8—28no—
1003C4×Q8—28no—
1004C4×Q8—28no—
1005C4×Q8—24no—
1006C4×Q8—24no—
1007C4×Q8—24no—
1008C4×Q8—82no—
1009C4×D4—28no—
1010C4×D4—28no—
1011C4×D4—28no—
1012C4×D4—216no—
1013C4×D4—28no—
1014C4×D4—28no—
1015C4×D4—28no—
1016C4×D4—28no—
1017C4×D4—28no—
1018C4×D4—24no—
1019C4×D4—24no—
1020C4×D4—24no—
1021C4×D4—24no—
1022C4×D4—42no—
1023C4×D4—42no—
1024C4×D4—44no—
1025C4×D4—42no—
1026C4×D4—48no—
1027C4×D4—42no—
1028C4×D4—84no—
1029C4×D4C2×D418yes—
1030C4×D4C2×D418yes—
1031#117—28no—
1032#117—28no—
1033#117—28no—
1034#117—28no—
1035#117—28no—
1036#117—216no—
1037#117—216no—
1038#117—44no—
1039#117C2×D4116yes—
1040#117C2×D4116yes—
1041C2×C4⋊C4—28no—
1042C2×C4⋊C4—28no—
1043C2×C4⋊C4—28no—
1044C2×C4⋊C4—28no—
1045C2×C4⋊C4—28no—
1046C2×C4⋊C4—28no—
1047C2×C4⋊C4C2411yescharacteristic
1048C2×C4⋊C4C2412yes—
1049C2×C4⋊C4C2412yes—
1050C2×C4⋊C4C2411yescharacteristic
1051C2×C4⋊C4C2411yescharacteristic
1052C2×C4⋊C4C2411yescharacteristic
1053C2×C4⋊C4C2412yes—
1054C2×C4⋊C4C2414yes—
1055C2×C4⋊C4C2414yes—
1056C2×C4⋊C4C2414yes—
1057C2×C4⋊C4C2414yes—
1058C2×C4⋊C4C2414yes—
1059C2×C4⋊C4C2414yes—
1060C2×C4⋊C4C2412yes—
1061C2×C4⋊C4C2411yescharacteristic
1062C2×C4⋊C4C2414yes—
1063C2×C4⋊C4C2414yes—
1064C2×C4⋊C4C2414yes—
1065C2×C4⋊C4C2412yes—
1066C2×C4⋊C4C2412yes—
1067C2×C4⋊C4C2412yes—
1068C2×C4⋊C4C2412yes—
1069C2×C4⋊C4C2412yes—
1070C2×C4⋊C4C2412yes—
1071C2×C4⋊C4C2412yes—
1072C2×C4⋊C4C2412yes—
1073C2×C4⋊C4C2412yes—
1074C2×C4⋊C4C2414yes—
1075C2×C4⋊C4C2412yes—
1076C2×C4⋊C4C2412yes—
1077C2×C4⋊C4C2411yescharacteristic
1078C2×C4⋊C4C2411yescharacteristic
1079C2×C4⋊C4C2411yescharacteristic
1080C2×C4⋊C4C2414yes—
1081C2×C4⋊C4C2414yes—
1082C2×C4⋊C4C2412yes—
1083C2×C4⋊C4C2412yes—
1084C2×C4⋊C4C2412yes—
1085C2×C4⋊C4C2412yes—
1086C2×C4⋊C4C2414yes—
1087C2×C4⋊C4C2414yes—
1088C2×C4⋊C4C2412yes—
1089C2×C4⋊C4C2414yes—
1090C2×C4⋊C4C2411yescharacteristic
1091C2×C4⋊C4C2411yescharacteristic
1092C2×C4⋊C4C2414yes—
1093C2×C4⋊C4C2412yes—
1094C2×C4⋊C4C2414yes—
1095C2×C4⋊C4C2412yes—
1096C2×C4⋊C4C2412yes—
1097C2×C4⋊C4C2412yes—
1098C2×C4⋊C4C2412yes—
1099C2×C4⋊C4C2412yes—
1100C2×C4⋊C4C2414yes—
1101C2×C4⋊C4C2414yes—
1102C2×C4⋊C4C2414yes—
1103C2×C4⋊C4C2412yes—
1104C2×C4⋊C4C2412yes—
1105C2×C4⋊C4C2414yes—
1106C2×C4⋊C4C2414yes—
1107C2×C4⋊C4C2412yes—
1108C2×C4⋊C4C2412yes—
1109C2×C4⋊C4C2414yes—
1110C2×C4⋊C4C2412yes—
1111C2×C4⋊C4C2414yes—
1112C2×C4⋊C4C2412yes—
1113C2×C4⋊C4C2412yes—
1114C2×C4⋊C4C2411yescharacteristic
1115C2×C4⋊C4C2411yescharacteristic
1116C2×C4⋊C4C2411yescharacteristic
1117C2×C22⋊C4C2412yes—
1118C2×C22⋊C4C2412yes—
1119C2×C22⋊C4C2412yes—
1120C2×C22⋊C4C2412yes—
1121C2×C22⋊C4C2412yes—
1122C2×C22⋊C4C2414yes—
1123C2×C22⋊C4C2412yes—
1124C2×C22⋊C4C2412yes—
1125C2×C22⋊C4C2414yes—
1126C2×C22⋊C4C2412yes—
1127C2×C22⋊C4C2412yes—
1128C2×C22⋊C4C2414yes—
1129C2×C22⋊C4C2412yes—
1130C2×C22⋊C4C2412yes—
1131C2×C22⋊C4C2412yes—
1132C2×C22⋊C4C2414yes—
1133C2×C22⋊C4C2411yescharacteristic
1134C2×C22⋊C4C2412yes—
1135C2×C22⋊C4C2414yes—
1136C2×C22⋊C4C2414yes—
1137C2×C22⋊C4C2414yes—
1138C2×C22⋊C4C2412yes—
1139C2×C22⋊C4C2412yes—
1140C2×C22⋊C4C2412yes—
1141C2×C22⋊C4C2411yescharacteristic
1142C2×C22⋊C4C2412yes—
1143C2×C22⋊C4C2412yes—
1144C2×C22⋊C4C2411yescharacteristic
1145C2×C22⋊C4C2412yes—
1146C2×C22⋊C4C2412yes—
1147C2×C22⋊C4C2412yes—
1148C2×C22⋊C4C2412yes—
1149C2×C22⋊C4C2414yes—
1150C2×C22⋊C4C2414yes—
1151C2×C22⋊C4C2414yes—
1152C2×C22⋊C4C2411yescharacteristic
1153C2×C22⋊C4C2412yes—
1154C2×C22⋊C4C2412yes—
1155C2×C22⋊C4C2411yescharacteristic
1156C2×C22⋊C4C2411yescharacteristic
1157C2×C22⋊C4C2412yes—
1158C2×C22⋊C4C2414yes—
1159C2×C22⋊C4C2412yes—
1160C2×C22⋊C4C2412yes—
1161C2×C22⋊C4C2412yes—
1162C2×C22⋊C4C2412yes—
1163C2×C22⋊C4C2412yes—
1164C2×C22⋊C4C2414yes—
1165C2×C22⋊C4C2414yes—
1166C2×C22⋊C4C2414yes—
1167C2×C22⋊C4C2414yes—
1168C2×C22⋊C4C2412yes—
1169C2×C22⋊C4C2412yes—
1170C2×C22⋊C4C2414yes—
1171C2×C22⋊C4C2412yes—
1172C2×C22⋊C4C2414yes—
1173C2×C22⋊C4C2414yes—
1174C2×C22⋊C4C2412yes—
1175C2×C22⋊C4C2412yes—
1176C2×C42—24no—
1177C2×C42—24no—
1178C2×C42—28no—
1179C2×C42—44no—
1180C2×C42C2414yes—
1181C2×C42C2411yescharacteristic
1182C2×C42C2411yescharacteristic
1183C2×C42C2411yescharacteristic
1184C2×C42C2412yes—
1185C2×C42C2412yes—
1186C2×C42C2412yes—
1187C2×C42C2414yes—
1188C2×C42C2414yes—
1189C2×C42C2411yescharacteristic
1190C2×C42C2411yescharacteristic
1191C2×C42C2412yes—
1192C2×C42C2411yescharacteristic
1193C2×C42C2411yescharacteristic
1194C2×C42C2411yescharacteristic
1195C2×C42C2411yescharacteristic
1196C2×C42C2412yes—
1197C2×C42C2412yes—
1198C2×C42C2412yes—
1199C2×C42C2414yes—
1200C2×C42C2414yes—
1201C2×C42C2411yescharacteristic
1202C2×C42C2414yes—
1203C2×C42C2411yescharacteristic
1204C2×C42C2412yes—
1205C2×C42C2412yes—
1206C2×C42C2414yes—
1207C2×C42C2411yescharacteristic
1208C2×C42C2411yescharacteristic
1209#95C2414yes—
1210#95C2412yes—
1211#95C2412yes—
1212#95C2412yes—
1213#95C2412yes—
1214#95C2414yes—
1215#95C2414yes—
1216#95C2414yes—
1217#95C2414yes—
1218#95C2414yes—
1219#95C2414yes—
1220#95C2414yes—
1221#95C2414yes—
1222#95C2414yes—
1223#95C2414yes—
1224#95C2412yes—
1225#95C2412yes—
1226#95C2414yes—
1227#95C2414yes—
1228#95C2414yes—
1229#95C2414yes—
1230#95C2414yes—
1231#95C2414yes—
1232#95C2412yes—
1233#95C2411yescharacteristic
1234#95C2411yescharacteristic
1235#95C2411yescharacteristic
1236#95C2412yes—
1237#95C2412yes—
1238#95C2412yes—
1239#95C2412yes—
1240#95C2411yescharacteristic
1241#95C2411yescharacteristic
1242#95C2411yescharacteristic
1243#95C2412yes—
1244#95C2412yes—
1245#95C2414yes—
1246#95C2412yes—
1247#95C2412yes—
1248#95C2412yes—
1249#95C2412yes—
1250#95C2412yes—
1251#95C2412yes—
1252#95C2412yes—
1253#95C2414yes—
1254#95C2412yes—
1255#95C2412yes—
1256#95C2412yes—
1257#95C2412yes—
1258#95C2412yes—
1259#95C2412yes—
1260#95C2412yes—
1261#95C2414yes—
1262#95C2412yes—
1263#95C2414yes—
1264#95C2414yes—
1265#95C2414yes—
1266#95C2414yes—
1267#95C2414yes—
1268#95C2414yes—
1269#95C2414yes—
1270#95C2414yes—
1271C24C2511yescharacteristic
1272C24C2512yes—
1273C24C2512yes—
1274C24C2512yes—
1275C24C2511yescharacteristic
1276#41—816no—
1277#41—816no—
1278#41—832no—
1279C2×Q8—22no—
1280C2×Q8—22no—
1281C2×Q8—22no—
1282C2×Q8—24no—
1283C2×Q8—24no—
1284C2×Q8—28no—
1285C2×Q8—28no—
1286C2×Q8—24no—
1287C2×Q8—28no—
1288C2×Q8—22no—
1289C2×Q8—22no—
1290C2×Q8—22no—
1291C2×Q8—22no—
1292C2×Q8—22no—
1293C2×Q8—24no—
1294C2×Q8—22no—
1295C2×Q8—24no—
1296C2×Q8—42no—
1297C2×Q8—42no—
1298C2×Q8—44no—
1299C2×Q8—42no—
1300C2×Q8—44no—
1301C2×Q8—44no—
1302C2×Q8—44no—
1303C2×Q8—44no—
1304C2×Q8—42no—
1305C2×Q8—42no—
1306C2×Q8—42no—
1307C2×Q8—44no—
1308C2×Q8—816no—
1309C2×Q8—816no—
1310C2×Q8C22×D418yes—
1311C2×D4—24no—
1312C2×D4—24no—
1313C2×D4—24no—
1314C2×D4—22no—
1315C2×D4—24no—
1316C2×D4—24no—
1317C2×D4—24no—
1318C2×D4—24no—
1319C2×D4—24no—
1320C2×D4—28no—
1321C2×D4—24no—
1322C2×D4—22no—
1323C2×D4—24no—
1324C2×D4—22no—
1325C2×D4—22no—
1326C2×D4—22no—
1327C2×D4—24no—
1328C2×D4—22no—
1329C2×D4—22no—
1330C2×D4—22no—
1331C2×D4—22no—
1332C2×D4—42no—
1333C2×D4—41no—
1334C2×D4—44no—
1335C2×D4—44no—
1336C2×D4—42no—
1337C2×D4—42no—
1338C2×D4—42no—
1339C2×D4—42no—
1340C2×D4—42no—
1341C2×D4—42no—
1342C2×D4—42no—
1343C2×D4—42no—
1344C2×D4—42no—
1345C2×D4—42no—
1346C2×D4—44no—
1347C2×D4—42no—
1348C2×D4—42no—
1349C2×D4—44no—
1350C2×D4C22×D414yes—
1351C2×D4C22×D414yes—
1352C2×D4C22×D4116yes—
1353C22×C4—24no—
1354C22×C4—24no—
1355C22×C4—24no—
1356C22×C4—24no—
1357C22×C4—22no—
1358C22×C4—28no—
1359C22×C4—28no—
1360C22×C4—28no—
1361C22×C4—28no—
1362C22×C4—28no—
1363C22×C4—22no—
1364C22×C4—22no—
1365C22×C4—22no—
1366C22×C4—22no—
1367C22×C4—22no—
1368C22×C4—28no—
1369C22×C4—24no—
1370C22×C4—22no—
1371C22×C4—22no—
1372C22×C4—22no—
1373C22×C4—22no—
1374C22×C4—22no—
1375C22×C4—22no—
1376C22×C4—24no—
1377C22×C4—22no—
1378C22×C4—24no—
1379C22×C4—22no—
1380C22×C4—22no—
1381C22×C4—28no—
1382C22×C4—24no—
1383C22×C4—24no—
1384C22×C4—24no—
1385C22×C4—24no—
1386C22×C4—41no—
1387C22×C4—44no—
1388C22×C4—42no—
1389C22×C4—42no—
1390C22×C4—42no—
1391C22×C4—42no—
1392C22×C4—44no—
1393C22×C4—41no—
1394C22×C4—42no—
1395C22×C4—42no—
1396C22×C4—42no—
1397C22×C4—42no—
1398C22×C4—44no—
1399C22×C4—41no—
1400C22×C4—44no—
1401C22×C4—44no—
1402C22×C4—44no—
1403C22×C4—44no—
1404C22×C4—44no—
1405C22×C4—44no—
1406C22×C4—44no—
1407C22×C4—44no—
1408C22×C4C22×D418yes—
1409C22×C4C22×D418yes—
1410C22×C4C2511yescharacteristic
1411C22×C4C2512yes—
1412C22×C4C2512yes—
1413C22×C4C2512yes—
1414C22×C4C2511yescharacteristic
1415C22×C4C2511yescharacteristic
1416C22×C4C2514yes—
1417C22×C4C2512yes—
1418C22×C4C2511yescharacteristic
1419C22×C4C2511yescharacteristic
1420C22×C4C2512yes—
1421C22×C4C2514yes—
1422C22×C4C2512yes—
1423C22×C4C2511yescharacteristic
1424C22×C4C2512yes—
1425C22×C4C2512yes—
1426C22×C4C2514yes—
1427C22×C4C2511yescharacteristic
1428C22×C4C2512yes—
1429C22×C4C2512yes—
1430C22×C4C2511yescharacteristic
1431C22×C4C2512yes—
1432C22×C4C2512yes—
1433C22×C4C2511yescharacteristic
1434C22×C4C2514yes—
1435C22×C4C2511yescharacteristic
1436C22×C4C2511yescharacteristic
1437C22×C4C2512yes—
1438C22×C4C2511yescharacteristic
1439C22×C4C2511yescharacteristic
1440C4⋊C4—22no—
1441C4⋊C4—24no—
1442C4⋊C4—24no—
1443C4⋊C4—22no—
1444C4⋊C4—22no—
1445C4⋊C4—22no—
1446C4⋊C4—24no—
1447C4⋊C4—28no—
1448C4⋊C4—28no—
1449C4⋊C4—28no—
1450C4⋊C4—28no—
1451C4⋊C4—28no—
1452C4⋊C4—28no—
1453C4⋊C4—24no—
1454C4⋊C4—28no—
1455C4⋊C4—28no—
1456C4⋊C4—28no—
1457C4⋊C4—24no—
1458C4⋊C4—24no—
1459C4⋊C4—24no—
1460C4⋊C4—24no—
1461C4⋊C4—24no—
1462C4⋊C4—24no—
1463C4⋊C4—24no—
1464C4⋊C4—28no—
1465C4⋊C4—24no—
1466C4⋊C4—24no—
1467C4⋊C4—28no—
1468C4⋊C4—28no—
1469C4⋊C4—24no—
1470C4⋊C4—24no—
1471C4⋊C4—24no—
1472C4⋊C4—24no—
1473C4⋊C4—28no—
1474C4⋊C4—28no—
1475C4⋊C4—24no—
1476C4⋊C4—22no—
1477C4⋊C4—22no—
1478C4⋊C4—24no—
1479C4⋊C4—22no—
1480C4⋊C4—24no—
1481C4⋊C4—22no—
1482C4⋊C4—42no—
1483C4⋊C4—41no—
1484C4⋊C4—44no—
1485C4⋊C4—41no—
1486C4⋊C4—44no—
1487C4⋊C4—44no—
1488C4⋊C4—42no—
1489C4⋊C4—42no—
1490C4⋊C4—42no—
1491C4⋊C4—44no—
1492C4⋊C4—44no—
1493C4⋊C4—42no—
1494C4⋊C4—42no—
1495C4⋊C4—42no—
1496C4⋊C4—42no—
1497C4⋊C4—44no—
1498C4⋊C4—44no—
1499C4⋊C4—44no—
1500C4⋊C4—42no—
1501C4⋊C4—44no—
1502C4⋊C4—42no—
1503C4⋊C4—44no—
1504C4⋊C4—42no—
1505C4⋊C4C22×D418yes—
1506C4⋊C4C22×D418yes—
1507C4⋊C4C22×D414yes—
1508C4⋊C4C22×D414yes—
1509C4⋊C42−1+414yes—
1510C22⋊C4—24no—
1511C22⋊C4—24no—
1512C22⋊C4—24no—
1513C22⋊C4—24no—
1514C22⋊C4—24no—
1515C22⋊C4—24no—
1516C22⋊C4—24no—
1517C22⋊C4—24no—
1518C22⋊C4—28no—
1519C22⋊C4—28no—
1520C22⋊C4—28no—
1521C22⋊C4—24no—
1522C22⋊C4—24no—
1523C22⋊C4—24no—
1524C22⋊C4—22no—
1525C22⋊C4—24no—
1526C22⋊C4—24no—
1527C22⋊C4—24no—
1528C22⋊C4—28no—
1529C22⋊C4—28no—
1530C22⋊C4—24no—
1531C22⋊C4—28no—
1532C22⋊C4—24no—
1533C22⋊C4—28no—
1534C22⋊C4—24no—
1535C22⋊C4—24no—
1536C22⋊C4—22no—
1537C22⋊C4—22no—
1538C22⋊C4—24no—
1539C22⋊C4—24no—
1540C22⋊C4—24no—
1541C22⋊C4—24no—
1542C22⋊C4—44no—
1543C22⋊C4—42no—
1544C22⋊C4—42no—
1545C22⋊C4—42no—
1546C22⋊C4—42no—
1547C22⋊C4—41no—
1548C22⋊C4—41no—
1549C22⋊C4—44no—
1550C22⋊C4—41no—
1551C22⋊C4—44no—
1552C22⋊C4—44no—
1553C22⋊C4—42no—
1554C22⋊C4—42no—
1555C22⋊C4—44no—
1556C22⋊C4—44no—
1557C22⋊C4—42no—
1558C22⋊C4—42no—
1559C22⋊C4—42no—
1560C22⋊C4—42no—
1561C22⋊C4—44no—
1562C22⋊C4—44no—
1563C22⋊C4—44no—
1564C22⋊C4—42no—
1565C22⋊C4C22×D4116yes—
1566C22⋊C4C22×D4116yes—
1567C22⋊C4C22×D418yes—
1568C22⋊C4C22×D418yes—
1569C42—22no—
1570C42—22no—
1571C42—22no—
1572C42—22no—
1573C42—22no—
1574C42—22no—
1575C42—28no—
1576C42—24no—
1577C42—24no—
1578C42—24no—
1579C42—28no—
1580C42—24no—
1581C42—24no—
1582C42—24no—
1583C42—28no—
1584C42—22no—
1585C42—22no—
1586C42—24no—
1587C42—22no—
1588C42—42no—
1589C42—42no—
1590C42—44no—
1591C42—44no—
1592C42—41no—
1593C42—44no—
1594C42—41no—
1595C42C22×D414yes—
1596C42C22×D4116yes—
1597C422−1+414yes—
1598C23—21no—
1599C23—22no—
1600C23—21no—
1601C23—22no—
1602C23—22no—
1603C23—22no—
1604C23—21no—
1605C23—21no—
1606C23—21no—
1607C23—22no—
1608C23—22no—
1609C23—22no—
1610C23—22no—
1611C23—22no—
1612C23—22no—
1613C23—22no—
1614C23—22no—
1615C23—21no—
1616C23—22no—
1617C23—21no—
1618C23—21no—
1619C23—22no—
1620C23—21no—
1621C23—22no—
1622C23—22no—
1623C23—21no—
1624C23—22no—
1625C23—21no—
1626C23—21no—
1627C23—22no—
1628C23—22no—
1629C23—21no—
1630C23C23×D414yes—
1631C23C23×D414yes—
1632C23#58512yes—
1633C23C2611yescharacteristic
1634Q8—48no—
1635Q8—44no—
1636Q8—44no—
1637Q8—44no—
1638Q8—48no—
1639Q8—88no—
1640Q8—84no—
1641Q8—88no—
1642Q8—88no—
1643Q8—84no—
1644D4—28no—
1645D4—28no—
1646D4—416no—
1647D4—44no—
1648D4—48no—
1649D4—48no—
1650D4—48no—
1651D4—44no—
1652D4—84no—
1653D4—84no—
1654D4—84no—
1655D4—84no—
1656D4—84no—
1657D4—88no—
1658C2×C4—22no—
1659C2×C4—22no—
1660C2×C4—21no—
1661C2×C4—22no—
1662C2×C4—21no—
1663C2×C4—22no—
1664C2×C4—22no—
1665C2×C4—22no—
1666C2×C4—21no—
1667C2×C4—24no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—24no—
1671C2×C4—21no—
1672C2×C4—216no—
1673C2×C4—216no—
1674C2×C4—21no—
1675C2×C4—22no—
1676C2×C4—22no—
1677C2×C4—21no—
1678C2×C4—21no—
1679C2×C4—21no—
1680C2×C4—21no—
1681C2×C4—21no—
1682C2×C4—22no—
1683C2×C4—22no—
1684C2×C4—24no—
1685C2×C4—22no—
1686C2×C4—22no—
1687C2×C4—22no—
1688C2×C4—24no—
1689C2×C4—22no—
1690C2×C4—22no—
1691C2×C4—21no—
1692C2×C4—24no—
1693C2×C4—21no—
1694C2×C4—21no—
1695C2×C4—22no—
1696C2×C4—21no—
1697C2×C4—21no—
1698C2×C4—22no—
1699C2×C4—22no—
1700C2×C4—21no—
1701C2×C4—21no—
1702C2×C4—22no—
1703C2×C4—21no—
1704C2×C4—22no—
1705C2×C4—22no—
1706C2×C4—21no—
1707C2×C4—24no—
1708C2×C4—22no—
1709C2×C4—21no—
1710C2×C4—22no—
1711C2×C4—21no—
1712C2×C4—22no—
1713C2×C4—21no—
1714C2×C4—22no—
1715C2×C4—22no—
1716C2×C4—24no—
1717C2×C4—21no—
1718C2×C4—21no—
1719C2×C4—22no—
1720C2×C4—22no—
1721C2×C4—24no—
1722C2×C4—22no—
1723C2×C4—22no—
1724C2×C4—21no—
1725C2×C4—24no—
1726C2×C4—22no—
1727C2×C4—24no—
1728C2×C4—21no—
1729C2×C4—22no—
1730C2×C4—22no—
1731C2×C4—24no—
1732C2×C4—22no—
1733C2×C4—22no—
1734C2×C4—21no—
1735C2×C4—22no—
1736C2×C4—21no—
1737C2×C4—44no—
1738C2×C4—416no—
1739C2×C4—44no—
1740C2×C4—44no—
1741C2×C4—44no—
1742C2×C4—48no—
1743C2×C4—44no—
1744C2×C4—88no—
1745C2×C4—82no—
1746C2×C4—84no—
1747C2×C4—84no—
1748C2×C4—84no—
1749C2×C4—84no—
1750C2×C4—88no—
1751C2×C4—88no—
1752C2×C4—88no—
1753C2×C4—88no—
1754C2×C4C23×D412yes—
1755C2×C4C23×D418yes—
1756C2×C4C23×D414yes—
1757C2×C4C23×D414yes—
1758C2×C4C23×D412yes—
1759C2×C4C23×D412yes—
1760C2×C4C2×2−1+412yes—
1761C2×C4C2×2−1+412yes—
1762C2×C4C2×2−1+414yes—
1763C2×C4C2×2−1+412yes—
1764C2×C4C2×2−1+412yes—
1765C2×C4#58512yes—
1766C2×C4#58512yes—
1767C22—22no—
1768C22—24no—
1769C22—24no—
1770C22—22no—
1771C22—22no—
1772C22—24no—
1773C22—24no—
1774C22—24no—
1775C22—24no—
1776C22—42no—
1777C22—42no—
1778C22—42no—
1779C22—42no—
1780C22—41no—
1781C22—41no—
1782C22—42no—
1783C22—42no—
1784C22—41no—
1785C22—42no—
1786C22—42no—
1787C22—41no—
1788C22—42no—
1789C22—41no—
1790C22—41no—
1791C22—42no—
1792C22—42no—
1793C22—41no—
1794C22—41no—
1795C22—42no—
1796C22—41no—
1797C22—42no—
1798C22—42no—
1799C22—41no—
1800C22—41no—
1801C22—42no—
1802C22C24×D411yescharacteristic
1803C22C22×2−1+411yescharacteristic
1804C22C22×2−1+411yescharacteristic
1805C22C2×#58511yescharacteristic
1806C22C2×#58511yescharacteristic
1807C22C2×#58511yescharacteristic
1808C22H(7,𝔽2)11yescharacteristic
1809C4—28no—
1810C4—22no—
1811C4—22no—
1812C4—24no—
1813C4—24no—
1814C4—24no—
1815C4—22no—
1816C4—44no—
1817C4—41no—
1818C4—42no—
1819C4—42no—
1820C4—42no—
1821C4—41no—
1822C4—42no—
1823C4—41no—
1824C4—41no—
1825C4—41no—
1826C4—42no—
1827C4—41no—
1828C4—42no—
1829C4—41no—
1830C4—44no—
1831C4—42no—
1832C4—42no—
1833C4—42no—
1834C4—42no—
1835C4—41no—
1836C4—44no—
1837C4#349914yes—
1838C4#350014yes—
1839C2—42no—
1840C2—44no—
1841C2—44no—
1842C2—82no—
1843C2—81no—
1844C2#6275211yescharacteristic
1845C2C2×#349911yescharacteristic
1846C2C2×#350011yescharacteristic
1847C2#6292911yescharacteristic
1848C2#6295211yescharacteristic
1849C2#6298711yescharacteristic
1850C2#6302311yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#3547C2semidirect
2. C2×#3544C2semidirect
3. #59655C2semidirect
4. #59409C2semidirect
5. #59318C2semidirect
6. #59136C2semidirect
7. #59081C2semidirect
8. #51545C2semidirect
9. #51541C2semidirect
10. #46149C2semidirect
11. #45096C2semidirect
12. #45095C2semidirect
13. #44873C2semidirect
14. #44869C2semidirect
15. #42994C2semidirect
16. #42978C2semidirect
17. #42965C2semidirect
18. #42964C2semidirect
19. #39470C2semidirect
20. #39432C2semidirect
21. #39418C2semidirect
22. #39346C2semidirect
23. #38921C2semidirect
24. #38920C2semidirect
25. #38911C2semidirect
26. #36276C2semidirect
27. #36272C2semidirect
28. #36269C2semidirect
29. #36164C2semidirect
30. #36129C2semidirect
31. #35330C2semidirect
32. #35312C2semidirect
33. #34932C2semidirect
34. #34889C2semidirect
35. C4×#555C2semidirect
310. #555D4semidirect

Maximal subgroups

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

subgroupindex
C2×#35472
C2×#35442
#596552
#594092
#593182
#591362
#590812
#515452
#515412
#461492
#450962
#450952
#448732
#448692
#429942
#429782
#429652
#429642
#394702
#394322
#394182
#393462
#389212
#389202
#389112
#362762
#362722
#362692
#361642
#361292
#353302
#353122
#349322
#348892
C4×#5552