Finite Group Databasebeta

← #7652162

Subgroups — #7652162

Order 512.

6310 conjugacy classes of subgroups.

The subgroup lattice has 1737 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3509C211yesmaximal, characteristic
2C2×#3502C211yesmaximal, characteristic, complemented
3#42884C212yesmaximal, complemented
4#42879C212yesmaximal, complemented
5#42811C212yesmaximal, complemented
6#42811C212yesmaximal, complemented
7#42809C212yesmaximal, complemented
8#42801C212yesmaximal, complemented
9#42801C212yesmaximal, complemented
10#42793C212yesmaximal, complemented
11#42150C214yesmaximal, complemented
12#41939C214yesmaximal, complemented
13#39951C212yesmaximal, complemented
14#39951C212yesmaximal, complemented
15#39855C212yesmaximal, complemented
16#39855C212yesmaximal, complemented
17#39724C212yesmaximal, complemented
18#39619C212yesmaximal, complemented
19#39597C212yesmaximal, complemented
20#39170C212yesmaximal, complemented
21#38371C214yesmaximal, complemented
22#38371C214yesmaximal, complemented
23#35674C211yesmaximal, characteristic, complemented
24#35673C211yesmaximal, characteristic
25#35668C211yesmaximal, characteristic, complemented
26#35662C211yesmaximal, characteristic, complemented
27#35628C211yesmaximal, characteristic
28#35566C211yesmaximal, characteristic, complemented
29#35312C211yesmaximal, characteristic
30#35257C211yesmaximal, characteristic
31#35182C211yesmaximal, characteristic
32#34938C211yesmaximal, characteristic, complemented
33#34745C211yesmaximal, characteristic
34C2×#2446C211yesmaximal, characteristic, complemented
35#34254C211yesmaximal, characteristic, complemented
36#3509—216no—
37#3502—216no—
38C2×Q82C2212yes—
39C2×Q82C2212yes—
40C2×#557C2212yes—
41C2×#557C2212yes—
42C2×#557C2212yes—
43C2×#557C2212yes—
44C2×#557C2212yes—
45C2×#557C2212yes—
46C2×#557C2212yes—
47C2×#557C2212yes—
48C2×#556C2212yes—
49C2×#556C2212yes—
50C2×#552C2214yes—
51C2×#552C2214yes—
52C2×#544C2211yescharacteristic
53C2×#544C2214yes—
54C2×#544C2211yescharacteristic
55C2×#541C2212yes—
56C2×#541C2212yes—
57C2×#536C2211yescharacteristic
58C2×#536C2211yescharacteristic
59C2×#533C2211yescharacteristic
60C2×#533C2212yes—
61C2×#533C2211yescharacteristic
62C2×#533C2214yes—
63C2×#533C2211yescharacteristic
64C2×#533C2212yes—
65C22×C4⋊Q8C2211yescharacteristic
66C2×#519C2211yescharacteristic
67C2×#519C2211yescharacteristic
68C2×#519C2211yescharacteristic
69C2×C4×#41C2211yescharacteristic
70C22×C4×Q8C2211yescharacteristic
71#2862C2212yes—
72#2861C2212yes—
73#2857C2212yes—
74#2853C2214yes—
75#2851C2212yes—
76#2822C2214yes—
77#2822C2214yes—
78#2821C2214yes—
79#2821C2214yes—
80#2721C2214yes—
81#2721C2214yes—
82#2721C2214yes—
83#2721C2214yes—
84#2719C2214yes—
85#2719C2214yes—
86#2719C2214yes—
87#2719C2214yes—
88#2719C2214yes—
89#2719C2214yes—
90#2719C2214yes—
91#2719C2214yes—
92#2716C2214yes—
93#2716C2214yes—
94#2716C2214yes—
95#2716C2214yes—
96#2713C2214yes—
97#2713C2214yes—
98#2713C2214yes—
99#2713C2214yes—
100#2713C2214yes—
101#2713C2214yes—
102#2713C2214yes—
103#2713C2214yes—
104#2690C2214yes—
105#2690C2214yes—
106#2690C2214yes—
107#2690C2214yes—
108#2677C2214yes—
109#2677C2214yes—
110#2677C2214yes—
111#2677C2214yes—
112#2664C2214yes—
113#2664C2214yes—
114#2660C2214yes—
115#2642C2214yes—
116#2642C2212yes—
117#2640C2212yes—
118#2637C2214yes—
119#2637C2214yes—
120#2634C2214yes—
121#2634C2214yes—
122#2634C2214yes—
123#2634C2214yes—
124#2629C2212yes—
125#2628C2212yes—
126#2628C2214yes—
127#2623C2214yes—
128#2621C2214yes—
129#2611C2214yes—
130#2611C2214yes—
131#2604C2214yes—
132#2604C2214yes—
133#2599C2214yes—
134#2599C2214yes—
135#2592C2212yes—
136#2592C2212yes—
137#2584C2212yes—
138#2584C2212yes—
139#2582C2212yes—
140#2582C2212yes—
141#2581C2212yes—
142#2581C2214yes—
143#2581C2214yes—
144#2581C2212yes—
145#2568C2212yes—
146#2568C2212yes—
147#2568C2212yes—
148#2568C2214yes—
149#2567C2212yes—
150#2567C2212yes—
151#2565C2214yes—
152#2565C2212yes—
153#2565C2212yes—
154#2565C2214yes—
155#2552C2211yescharacteristic
156#2552C2212yes—
157#2552C2211yescharacteristic
158#2551C2211yescharacteristic
159#2551C2211yescharacteristic
160#2551C2212yes—
161#2550C2211yescharacteristic
162#2550C2212yes—
163#2550C2211yescharacteristic
164#2550C2212yes—
165#2550C2211yescharacteristic
166#2550C2211yescharacteristic
167#2549C2212yes—
168#2549C2212yes—
169#2549C2214yes—
170#2546C2212yes—
171#2546C2214yes—
172#2498C2214yes—
173#2498C2214yes—
174#2492C2212yes—
175#2492C2212yes—
176#2492C2212yes—
177#2492C2212yes—
178#2489C2212yes—
179#2489C2212yes—
180#2489C2212yes—
181#2489C2212yes—
182#2488C2214yes—
183#2488C2214yes—
184#2488C2214yes—
185#2488C2214yes—
186#2484C2214yes—
187#2484C2214yes—
188#2454C2211yescharacteristic
189#2454C2212yes—
190#2454C2211yescharacteristic
191#2453C2211yescharacteristic
192#2453C2212yes—
193#2453C2212yes—
194#2453C2212yes—
195#2453C2212yes—
196#2453C2211yescharacteristic
197#2453C2212yes—
198#2452C2211yescharacteristic
199#2452C2212yes—
200#2452C2211yescharacteristic
201#2451C2212yes—
202#2451C2212yes—
203#2451C2212yes—
204#2451C2212yes—
205#2451C2211yescharacteristic
206#2451C2212yes—
207#2451C2211yescharacteristic
208#2450C2212yes—
209#2450C2214yes—
210#2450C2212yes—
211#2449C2212yes—
212#2449C2212yes—
213#2449C2214yes—
214#2448C2212yes—
215#2448C2212yes—
216#2448C2212yes—
217#2448C2212yes—
218#2446C2212yes—
219#2446C2212yes—
220#2446C2212yes—
221#2446C2212yes—
222#2446C2212yes—
223#2446C2212yes—
224#2446C2212yes—
225#2446C2212yes—
226#2446C2212yes—
227#2446C2212yes—
228#2446C2212yes—
229#2446C2212yes—
230#2446C2212yes—
231#2446C2212yes—
232#2446C2212yes—
233#2446C2212yes—
234#2446C2212yes—
235#2446C2212yes—
236#2446C2212yes—
237#2446C2212yes—
238#2440C2212yes—
239#2440C2212yes—
240#2440C2214yes—
241#2438C2214yes—
242#2438C2214yes—
243#2438C2214yes—
244#2438C2214yes—
245#2423C2212yes—
246#2423C2212yes—
247#2423C2212yes—
248#2423C2212yes—
249#2421C2212yes—
250#2421C2212yes—
251#2421C2212yes—
252#2421C2212yes—
253#2399C2212yes—
254#2399C2212yes—
255#2396C2212yes—
256#2396C2212yes—
257C2×#400C2212yes—
258C2×#398C2212yes—
259#2356C2212yes—
260#2356C2212yes—
261#2355C2212yes—
262#2355C2212yes—
263#2343C2214yes—
264#2343C2214yes—
265#2327C2214yes—
266#2327C2214yes—
267#2323C2214yes—
268#2323C2214yes—
269#2320C2212yes—
270#2320C2212yes—
271#2317C2211yescharacteristic
272#2317C2211yescharacteristic
273#2316C2211yescharacteristic
274#2311C2211yescharacteristic
275#2311C2211yescharacteristic
276#2310C2211yescharacteristic
277#2310C2211yescharacteristic
278#2310C2211yescharacteristic
279C4×C4⋊Q8C2212yes—
280C4×C4⋊Q8C2212yes—
281C4×C22⋊Q8C2212yes—
282C4×C22⋊Q8C2212yes—
283#2297C2211yescharacteristic
284#2297C2211yescharacteristic
285#2296C2211yescharacteristic
286#2296C2211yescharacteristic
287#2296C2211yescharacteristic
288#2296C2211yescharacteristic
289#2295C2212yes—
290#2295C2212yes—
291C2×#391C2211yescharacteristic
292C2×#391C2211yescharacteristic
293C2×#391C2211yescharacteristic
294C2×#389C2211yescharacteristic
295C2×#387C2212yes—
296C2×#387C2212yes—
297#2285C2211yescharacteristic
298#2274C2211yescharacteristic
299C4×#117C2211yescharacteristic
300C2×C4×C4⋊C4C2211yescharacteristic
301C22×#41C2311yescharacteristic
302C23×Q8C2311yescharacteristic
303C23×Q8C2311yescharacteristic
304Q82—216no—
305Q82—216no—
306#557—216no—
307#557—216no—
308#557—216no—
309#557—216no—
310#557—216no—
311#557—216no—
312#557—216no—
313#557—216no—
314#556—216no—
315#556—216no—
316#552—232no—
317#552—232no—
318#544—28no—
319#544—28no—
320#544—232no—
321#541—216no—
322#541—216no—
323#536—28no—
324#536—28no—
325#533—216no—
326#533—216no—
327#533—28no—
328#533—28no—
329#533—232no—
330#533—28no—
331C2×C4⋊Q8—28no—
332C2×C4⋊Q8C2312yes—
333C2×C4⋊Q8C2314yes—
334C2×C4⋊Q8C2314yes—
335C2×C4⋊Q8C2312yes—
336C2×C4⋊Q8C2312yes—
337C2×C4⋊Q8C2312yes—
338C2×C4⋊Q8C2312yes—
339C2×C4⋊Q8C2312yes—
340C2×C4⋊Q8C2312yes—
341C2×C4⋊Q8C2312yes—
342C2×C4⋊Q8C2311yescharacteristic
343C2×C4⋊Q8C2311yescharacteristic
344C2×C4⋊Q8C2314yes—
345C2×C4⋊Q8C2314yes—
346C2×C4⋊Q8C2311yescharacteristic
347C2×C4⋊Q8C2311yescharacteristic
348C2×C4⋊Q8C2311yescharacteristic
349C2×C4⋊Q8C2311yescharacteristic
350C2×C4⋊Q8C2314yes—
351C2×C4⋊Q8C2314yes—
352C2×C4⋊Q8C2312yes—
353C2×C4⋊Q8C2312yes—
354C2×C4⋊Q8C2312yes—
355C2×C4⋊Q8C2312yes—
356C2×C4⋊Q8C2314yes—
357C2×#126C2314yes—
358C2×#126C2314yes—
359C2×#126C2314yes—
360C2×#126C2314yes—
361C2×#125C2312yes—
362C2×#125C2314yes—
363C2×#125C2314yes—
364C2×#125C2314yes—
365C2×#125C2314yes—
366C2×#125C2312yes—
367C2×#125C2311yescharacteristic
368C2×#125C2311yescharacteristic
369C2×#125C2314yes—
370C2×#125C2314yes—
371C2×#125C2314yes—
372C2×#125C2314yes—
373C2×#125C2311yescharacteristic
374C2×#125C2311yescharacteristic
375C2×#125C2311yescharacteristic
376C2×#125C2311yescharacteristic
377C2×#125C2314yes—
378C2×#125C2314yes—
379C2×#125C2314yes—
380C2×#125C2314yes—
381C2×#125C2312yes—
382C2×#125C2312yes—
383C2×#124C2312yes—
384C2×#124C2312yes—
385C2×#123C2314yes—
386C2×#123C2314yes—
387C2×C22⋊Q8C2312yes—
388C2×C22⋊Q8C2312yes—
389C2×C22⋊Q8C2312yes—
390C2×C22⋊Q8C2312yes—
391C2×C22⋊Q8C2312yes—
392C2×C22⋊Q8C2314yes—
393C2×C22⋊Q8C2314yes—
394C2×C22⋊Q8C2312yes—
395C2×C22⋊Q8C2312yes—
396C2×C22⋊Q8C2312yes—
397C2×C22⋊Q8C2314yes—
398C2×C22⋊Q8C2312yes—
399C2×C22⋊Q8C2314yes—
400C2×C22⋊Q8C2312yes—
401C2×C22⋊Q8C2312yes—
402C2×C22⋊Q8C2314yes—
403C2×C22⋊Q8C2312yes—
404#519—28no—
405#519—28no—
406#519D4116yes—
407C4×#41—28no—
408C2×C4×Q8—28no—
409C2×C4×Q8C2312yes—
410C2×C4×Q8C2312yes—
411C2×C4×Q8C2312yes—
412C2×C4×Q8C2312yes—
413C2×C4×Q8C2312yes—
414C2×C4×Q8C2312yes—
415C2×C4×Q8C2314yes—
416C2×C4×Q8C2314yes—
417C2×C4×Q8C2314yes—
418C2×C4×Q8C2314yes—
419C2×C4×Q8C2314yes—
420C2×C4×Q8C2312yes—
421C2×C4×Q8C2312yes—
422C2×C4×Q8C2314yes—
423C2×C4×Q8C2312yes—
424C2×C4×Q8C2312yes—
425C2×C4×Q8C2312yes—
426C2×C4×Q8C2312yes—
427C2×C4×Q8C2311yescharacteristic
428C2×C4×Q8C2311yescharacteristic
429C2×C4×Q8C2312yes—
430C2×C4×Q8C2312yes—
431C2×C4×Q8C2312yes—
432C2×C4×Q8C2312yes—
433C2×C4×Q8C2312yes—
434C2×C4×Q8C2312yes—
435C2×C4×Q8C2312yes—
436C2×C4×Q8C2312yes—
437C2×C4×Q8C2312yes—
438C2×C4×Q8C2312yes—
439C2×C4×D4C2312yes—
440C2×C4×D4C2312yes—
441C2×C4×D4C2311yescharacteristic
442C2×C4×D4C2311yescharacteristic
443C2×#117C2311yescharacteristic
444C2×#117C2311yescharacteristic
445C2×#117C2311yescharacteristic
446C2×#117C2311yescharacteristic
447C2×#117C2311yescharacteristic
448C2×#117C2314yes—
449C2×#117C2314yes—
450C2×#117C2312yes—
451C2×#117C2314yes—
452C2×#117C2314yes—
453C2×#117C2311yescharacteristic
454C2×#117C2314yes—
455C2×#117C2311yescharacteristic
456C22×C4⋊C4C2311yescharacteristic
457C22×C4⋊C4C2311yescharacteristic
458C22×C4⋊C4C2312yes—
459C22×C4⋊C4C2312yes—
460C22×C4⋊C4C2312yes—
461C22×C4⋊C4C2311yescharacteristic
462C22×C4⋊C4C2311yescharacteristic
463C22×C4⋊C4C2312yes—
464C22×C42C2312yes—
465C22×C42C2312yes—
466C22×C42C2311yescharacteristic
467C22×C42C2311yescharacteristic
468C22×C42C2311yescharacteristic
469#400C2314yes—
470#400C2314yes—
471#400C2314yes—
472#400C2314yes—
473#400C2314yes—
474#400C2314yes—
475#400C2314yes—
476#400C2314yes—
477#400C2314yes—
478#400C2314yes—
479#400C2314yes—
480#400C2314yes—
481#400C2314yes—
482#400C2314yes—
483#400C2314yes—
484#400C2314yes—
485#400C2314yes—
486#400C2314yes—
487#400C2314yes—
488#400C2314yes—
489#400C2314yes—
490#400C2314yes—
491#400C2314yes—
492#400C2314yes—
493#400C2312yes—
494#400C2312yes—
495#400C2314yes—
496#399C2312yes—
497#399C2314yes—
498#399C2314yes—
499#399C2314yes—
500#399C2312yes—
501#399C2314yes—
502#399C2314yes—
503#398C2312yes—
504#398C2312yes—
505#398C2314yes—
506#398C2314yes—
507#398C2314yes—
508#398C2314yes—
509#398C2314yes—
510#398C2314yes—
511#398C2314yes—
512#398C2314yes—
513#398C2312yes—
514#398C2314yes—
515#398C2314yes—
516#398C2314yes—
517#398C2312yes—
518#398C2312yes—
519#398C2312yes—
520#398C2312yes—
521#398C2314yes—
522#398C2314yes—
523#398C2314yes—
524#398C2314yes—
525#398C2314yes—
526#398C2314yes—
527#398C2314yes—
528#398C2312yes—
529#398C2314yes—
530#398C2314yes—
531#398C2314yes—
532#398C2312yes—
533#398C2314yes—
534#398C2314yes—
535#398C2314yes—
536#398C2312yes—
537#398C2312yes—
538#398C2312yes—
539#398C2314yes—
540#398C2314yes—
541#397C2314yes—
542#397C2314yes—
543#397C2314yes—
544#397C2314yes—
545#397C2314yes—
546#397C2314yes—
547#397C2314yes—
548#397C2314yes—
549#396C2314yes—
550#396C2314yes—
551#396C2312yes—
552#396C2312yes—
553#396C2312yes—
554#396C2312yes—
555#395C2312yes—
556#395C2314yes—
557#395C2314yes—
558#395C2314yes—
559#395C2314yes—
560#395C2314yes—
561#395C2312yes—
562#395C2312yes—
563#395C2314yes—
564#395C2314yes—
565#395C2314yes—
566#395C2312yes—
567#395C2312yes—
568#395C2314yes—
569#395C2312yes—
570#395C2312yes—
571#395C2312yes—
572#395C2312yes—
573#395C2312yes—
574#393C2312yes—
575#393C2314yes—
576#393C2314yes—
577#393C2314yes—
578#393C2314yes—
579#393C2312yes—
580#393C2314yes—
581#391C2312yes—
582#391C2312yes—
583#391C2312yes—
584#391C2312yes—
585#391C2312yes—
586#391C2312yes—
587#391C2314yes—
588#391C2312yes—
589#391C2314yes—
590#391C2314yes—
591#391C2312yes—
592#391C2312yes—
593#391C2312yes—
594#391C2312yes—
595#391C2312yes—
596#391C2312yes—
597#391C2312yes—
598#391C2312yes—
599#391C2312yes—
600#391C2312yes—
601#391C2312yes—
602#391C2312yes—
603#391C2312yes—
604#391C2314yes—
605#391C2314yes—
606#391C2311yescharacteristic
607#391C2311yescharacteristic
608#391C2312yes—
609#391C2314yes—
610#391C2314yes—
611#391C2314yes—
612#391C2312yes—
613#391C2312yes—
614#391C2314yes—
615#391C2312yes—
616#391C2314yes—
617#391C2312yes—
618#391C2312yes—
619#391C2312yes—
620#391C2314yes—
621#391C2312yes—
622#391C2311yescharacteristic
623#391C2312yes—
624#391C2312yes—
625#391C2312yes—
626#391C2311yescharacteristic
627#391C2312yes—
628#390C2312yes—
629#390C2312yes—
630#390C2311yescharacteristic
631#390C2311yescharacteristic
632#390C2311yescharacteristic
633#390C2311yescharacteristic
634#389C2312yes—
635#389C2312yes—
636#389C2312yes—
637#389C2312yes—
638#389C2312yes—
639#389C2312yes—
640#389C2312yes—
641#389C2312yes—
642#389C2311yescharacteristic
643#389C2312yes—
644#389C2312yes—
645#389C2314yes—
646#389C2314yes—
647#389C2312yes—
648#389C2312yes—
649#389C2312yes—
650#389C2312yes—
651#389C2312yes—
652#389C2312yes—
653#389C2312yes—
654#389C2311yescharacteristic
655#389C2311yescharacteristic
656#389C2314yes—
657#389C2314yes—
658#389C2314yes—
659#389C2311yescharacteristic
660#389C2311yescharacteristic
661#389C2312yes—
662#389C2314yes—
663#389C2311yescharacteristic
664#389C2311yescharacteristic
665#389C2314yes—
666#389C2311yescharacteristic
667#389C2311yescharacteristic
668#389C2314yes—
669#389C2314yes—
670#389C2312yes—
671#389C2311yescharacteristic
672#389C2312yes—
673#389C2311yescharacteristic
674#389C2311yescharacteristic
675#389C2312yes—
676#389C2311yescharacteristic
677#389C2311yescharacteristic
678#389C2312yes—
679#389C2311yescharacteristic
680#389C2311yescharacteristic
681#388C2314yes—
682#388C2314yes—
683#388C2314yes—
684#388C2314yes—
685#388C2314yes—
686#388C2314yes—
687#388C2314yes—
688#388C2314yes—
689#388C2314yes—
690#388C2314yes—
691#388C2314yes—
692#388C2314yes—
693#388C2314yes—
694#388C2314yes—
695#388C2314yes—
696#388C2314yes—
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#387C2314yes—
720#387C2314yes—
721#387C2314yes—
722#387C2314yes—
723#387C2314yes—
724#387C2314yes—
725#387C2312yes—
726#387C2312yes—
727#387C2314yes—
728#387C2314yes—
729#387C2314yes—
730#387C2314yes—
731#387C2314yes—
732#387C2314yes—
733#387C2314yes—
734#387C2314yes—
735#387C2314yes—
736#387C2314yes—
737#387C2314yes—
738#387C2314yes—
739#387C2312yes—
740#387C2312yes—
741#387C2314yes—
742#387C2314yes—
743#386C2314yes—
744#386C2314yes—
745#386C2312yes—
746#386C2312yes—
747#386C2312yes—
748#386C2312yes—
749#385C2314yes—
750#385C2314yes—
751#385C2314yes—
752#385C2314yes—
753#385C2312yes—
754#385C2312yes—
755#385C2312yes—
756#385C2312yes—
757#385C2312yes—
758#385C2312yes—
759#385C2312yes—
760#385C2312yes—
761#385C2312yes—
762#385C2312yes—
763#385C2312yes—
764#385C2312yes—
765#384C2312yes—
766#384C2312yes—
767#384C2311yescharacteristic
768#384C2312yes—
769#384C2314yes—
770#384C2311yescharacteristic
771#384C2312yes—
772#383C2314yes—
773#383C2314yes—
774#382C2311yescharacteristic
775#382C2312yes—
776#382C2314yes—
777#382C2314yes—
778#382C2314yes—
779#382C2314yes—
780#382C2314yes—
781#382C2311yescharacteristic
782#382C2312yes—
783#382C2314yes—
784#381C2314yes—
785#381C2314yes—
786#381C2314yes—
787#380C2312yes—
788#380C2312yes—
789#380C2312yes—
790#380C2312yes—
791#380C2314yes—
792#380C2312yes—
793#380C2314yes—
794#380C2312yes—
795#380C2312yes—
796#380C2312yes—
797C4×C4⋊C4C2311yescharacteristic
798C4×C4⋊C4C2311yescharacteristic
799C4×C4⋊C4C2312yes—
800C4×C4⋊C4C2312yes—
801C4×C4⋊C4C2312yes—
802C4×C4⋊C4C2312yes—
803C4×C4⋊C4C2312yes—
804C4×C4⋊C4C2312yes—
805C4×C4⋊C4C2314yes—
806C4×C4⋊C4C2312yes—
807C4×C4⋊C4C2314yes—
808C4×C4⋊C4C2312yes—
809C4×C4⋊C4C2312yes—
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⋊C4C2312yes—
819C4×C4⋊C4C2311yescharacteristic
820C4×C4⋊C4C2311yescharacteristic
821C4×C4⋊C4C2312yes—
822C4×C4⋊C4C2311yescharacteristic
823C4×C4⋊C4C2311yescharacteristic
824C4×C4⋊C4C2312yes—
825C4×C22⋊C4C2312yes—
826C4×C22⋊C4C2314yes—
827C4×C22⋊C4C2312yes—
828C4×C22⋊C4C2312yes—
829C4×C22⋊C4C2312yes—
830C4×C22⋊C4C2312yes—
831C4×C22⋊C4C2312yes—
832#376C2312yes—
833#376C2314yes—
834#376C2314yes—
835C2×#95C2312yes—
836C2×#95C2312yes—
837C2×#95C2312yes—
838C2×#95C2312yes—
839C2×#95C2311yescharacteristic
840C2×#95C2312yes—
841C2×#95C2312yes—
842C2×#95C2312yes—
843C2×#95C2311yescharacteristic
844C43C2312yes—
845C2×#41—24no—
846C2×#41—24no—
847C2×#41—24no—
848C22×Q8—24no—
849C22×Q8—24no—
850C22×Q8—24no—
851C22×Q8—24no—
852C22×Q8—24no—
853C22×Q8C2×D418yes—
854C22×Q8C2412yes—
855C22×Q8C2412yes—
856C22×Q8C2411yescharacteristic
857C22×Q8C2412yes—
858C22×Q8C2412yes—
859C22×Q8C2412yes—
860C22×Q8C2412yes—
861C22×Q8C2412yes—
862C22×Q8C2412yes—
863C22×Q8C2414yes—
864C22×Q8C2412yes—
865C22×Q8C2412yes—
866C22×Q8C2414yes—
867C22×D4C2412yes—
868C22×D4C2411yescharacteristic
869C23×C4C2412yes—
870C23×C4C2412yes—
871C23×C4C2411yescharacteristic
872C23×C4C2411yescharacteristic
873C23×C4C2411yescharacteristic
874C23×C4C2411yescharacteristic
875C23×C4C2412yes—
876C23×C4C2412yes—
877C23×C4C2412yes—
878C23×C4C2412yes—
879C23×C4C2411yescharacteristic
880C23×C4C2412yes—
881C23×C4C2411yescharacteristic
882C23×C4C2411yescharacteristic
883C4⋊Q8—28no—
884C4⋊Q8—28no—
885C4⋊Q8—28no—
886C4⋊Q8—28no—
887C4⋊Q8—28no—
888C4⋊Q8—24no—
889C4⋊Q8—24no—
890C4⋊Q8—24no—
891C4⋊Q8—24no—
892C4⋊Q8—216no—
893C4⋊Q8—24no—
894C4⋊Q8—24no—
895C4⋊Q8—216no—
896C4⋊Q8—28no—
897C4⋊Q8—28no—
898C4⋊Q8—216no—
899C4⋊Q8—216no—
900C4⋊Q8—28no—
901C4⋊Q8—28no—
902C4⋊Q8—28no—
903C4⋊Q8—216no—
904C4⋊Q8—216no—
905C4⋊Q8—28no—
906C4⋊Q8—48no—
907C4⋊Q8—44no—
908#126—216no—
909#126—216no—
910#126—216no—
911#126—216no—
912#125—24no—
913#125—24no—
914#125—216no—
915#125—216no—
916#125—24no—
917#125—24no—
918#125—216no—
919#125—24no—
920#125—24no—
921#125—216no—
922#125—216no—
923#125—216no—
924#125—28no—
925#125—28no—
926#125—216no—
927#125—216no—
928#125—216no—
929#125—216no—
930#125—28no—
931#125—216no—
932#125—216no—
933#125—28no—
934#124—28no—
935#124—28no—
936#123—216no—
937#123—216no—
938C22⋊Q8—28no—
939C22⋊Q8—28no—
940C22⋊Q8—28no—
941C22⋊Q8—28no—
942C22⋊Q8—216no—
943C22⋊Q8—216no—
944C22⋊Q8—28no—
945C22⋊Q8—28no—
946C22⋊Q8—28no—
947C22⋊Q8—28no—
948C22⋊Q8—216no—
949C22⋊Q8—28no—
950C22⋊Q8—216no—
951C22⋊Q8—28no—
952C22⋊Q8—28no—
953C22⋊Q8—44no—
954C22⋊Q8—48no—
955C4×Q8—28no—
956C4×Q8—28no—
957C4×Q8—28no—
958C4×Q8—28no—
959C4×Q8—28no—
960C4×Q8—28no—
961C4×Q8—28no—
962C4×Q8—28no—
963C4×Q8—24no—
964C4×Q8—24no—
965C4×Q8—28no—
966C4×Q8—28no—
967C4×Q8—28no—
968C4×Q8—28no—
969C4×Q8—216no—
970C4×Q8—216no—
971C4×Q8—28no—
972C4×Q8—28no—
973C4×Q8—28no—
974C4×Q8—216no—
975C4×Q8—216no—
976C4×Q8—28no—
977C4×Q8—28no—
978C4×Q8—216no—
979C4×Q8—216no—
980C4×Q8—28no—
981C4×Q8C2×D4116yes—
982C4×Q8C2×D4116yes—
983C4×Q8C2×D4116yes—
984C4×Q8C2×D4116yes—
985C4×D4—24no—
986C4×D4—24no—
987C4×D4—28no—
988C4×D4—28no—
989#117—24no—
990#117—216no—
991#117—24no—
992#117—24no—
993#117—24no—
994#117—24no—
995#117—216no—
996#117—28no—
997#117—216no—
998#117—216no—
999#117C2×D418yes—
1000#117C2×D418yes—
1001#117C2×D4132yes—
1002C2×C4⋊C4—28no—
1003C2×C4⋊C4—24no—
1004C2×C4⋊C4—28no—
1005C2×C4⋊C4—28no—
1006C2×C4⋊C4—24no—
1007C2×C4⋊C4—24no—
1008C2×C4⋊C4—42no—
1009C2×C4⋊C4—44no—
1010C2×C4⋊C4C2414yes—
1011C2×C4⋊C4C2414yes—
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2414yes—
1015C2×C4⋊C4C2414yes—
1016C2×C4⋊C4C2411yescharacteristic
1017C2×C4⋊C4C2414yes—
1018C2×C4⋊C4C2414yes—
1019C2×C4⋊C4C2414yes—
1020C2×C4⋊C4C2411yescharacteristic
1021C2×C4⋊C4C2412yes—
1022C2×C4⋊C4C2411yescharacteristic
1023C2×C4⋊C4C2411yescharacteristic
1024C2×C4⋊C4C2411yescharacteristic
1025C2×C4⋊C4C2412yes—
1026C2×C4⋊C4C2412yes—
1027C2×C4⋊C4C2412yes—
1028C2×C4⋊C4C2412yes—
1029C2×C4⋊C4C2412yes—
1030C2×C4⋊C4C2411yescharacteristic
1031C2×C4⋊C4C2411yescharacteristic
1032C2×C4⋊C4C2414yes—
1033C2×C4⋊C4C2414yes—
1034C2×C4⋊C4C2411yescharacteristic
1035C2×C4⋊C4C2411yescharacteristic
1036C2×C4⋊C4C2414yes—
1037C2×C4⋊C4C2411yescharacteristic
1038C2×C4⋊C4C2411yescharacteristic
1039C2×C4⋊C4C2414yes—
1040C2×C4⋊C4C2411yescharacteristic
1041C2×C4⋊C4C2411yescharacteristic
1042C2×C4⋊C4C2411yescharacteristic
1043C2×C4⋊C4C2411yescharacteristic
1044C2×C4⋊C4C2412yes—
1045C2×C4⋊C4C2412yes—
1046C2×C4⋊C4C2412yes—
1047C2×C4⋊C4C2412yes—
1048C2×C4⋊C4C2412yes—
1049C2×C4⋊C4C2412yes—
1050C2×C4⋊C4C2414yes—
1051C2×C4⋊C4C2414yes—
1052C2×C4⋊C4C2414yes—
1053C2×C4⋊C4C2414yes—
1054C2×C4⋊C4C2414yes—
1055C2×C4⋊C4C2412yes—
1056C2×C4⋊C4C2412yes—
1057C2×C4⋊C4C2414yes—
1058C2×C4⋊C4C2412yes—
1059C2×C4⋊C4C2412yes—
1060C2×C4⋊C4C2412yes—
1061C2×C4⋊C4C2412yes—
1062C2×C4⋊C4C2414yes—
1063C2×C4⋊C4C2412yes—
1064C2×C4⋊C4C2412yes—
1065C2×C4⋊C4C2414yes—
1066C2×C4⋊C4C2414yes—
1067C2×C4⋊C4C2412yes—
1068C2×C4⋊C4C2412yes—
1069C2×C4⋊C4C2414yes—
1070C2×C4⋊C4C2412yes—
1071C2×C4⋊C4C2412yes—
1072C2×C4⋊C4C2412yes—
1073C2×C4⋊C4C2412yes—
1074C2×C4⋊C4C2412yes—
1075C2×C4⋊C4C2412yes—
1076C2×C4⋊C4C2412yes—
1077C2×C4⋊C4C2411yescharacteristic
1078C2×C4⋊C4C2411yescharacteristic
1079C2×C4⋊C4C2414yes—
1080C2×C4⋊C4C2412yes—
1081C2×C4⋊C4C2414yes—
1082C2×C4⋊C4C2412yes—
1083C2×C4⋊C4C2412yes—
1084C2×C4⋊C4C2414yes—
1085C2×C4⋊C4C2414yes—
1086C2×C4⋊C4C2412yes—
1087C2×C4⋊C4C2412yes—
1088C2×C4⋊C4C2414yes—
1089C2×C4⋊C4C2412yes—
1090C2×C4⋊C4C2412yes—
1091C2×C4⋊C4C2412yes—
1092C2×C4⋊C4C2412yes—
1093C2×C4⋊C4C2412yes—
1094C2×C4⋊C4C2412yes—
1095C2×C4⋊C4C2412yes—
1096C2×C4⋊C4C2412yes—
1097C2×C4⋊C4C2414yes—
1098C2×C4⋊C4C2414yes—
1099C2×C4⋊C4C2411yescharacteristic
1100C2×C4⋊C4C2411yescharacteristic
1101C2×C4⋊C4C2411yescharacteristic
1102C2×C4⋊C4C2411yescharacteristic
1103C2×C4⋊C4C2414yes—
1104C2×C4⋊C4C2414yes—
1105C2×C4⋊C4C2411yescharacteristic
1106C2×C22⋊C4C2412yes—
1107C2×C22⋊C4C2412yes—
1108C2×C22⋊C4C2412yes—
1109C2×C22⋊C4C2412yes—
1110C2×C22⋊C4C2412yes—
1111C2×C22⋊C4C2414yes—
1112C2×C22⋊C4C2414yes—
1113C2×C22⋊C4C2414yes—
1114C2×C22⋊C4C2414yes—
1115C2×C22⋊C4C2412yes—
1116C2×C22⋊C4C2412yes—
1117C2×C22⋊C4C2412yes—
1118C2×C22⋊C4C2412yes—
1119C2×C22⋊C4C2412yes—
1120C2×C22⋊C4C2412yes—
1121C2×C22⋊C4C2414yes—
1122C2×C22⋊C4C2414yes—
1123C2×C22⋊C4C2412yes—
1124C2×C22⋊C4C2412yes—
1125C2×C22⋊C4C2412yes—
1126C2×C22⋊C4C2412yes—
1127C2×C22⋊C4C2414yes—
1128C2×C22⋊C4C2414yes—
1129C2×C22⋊C4C2412yes—
1130C2×C22⋊C4C2412yes—
1131C2×C42—28no—
1132C2×C42—24no—
1133C2×C42—24no—
1134C2×C42—24no—
1135C2×C42—28no—
1136C2×C42C2414yes—
1137C2×C42C2414yes—
1138C2×C42C2411yescharacteristic
1139C2×C42C2412yes—
1140C2×C42C2412yes—
1141C2×C42C2412yes—
1142C2×C42C2414yes—
1143C2×C42C2414yes—
1144C2×C42C2412yes—
1145C2×C42C2412yes—
1146C2×C42C2412yes—
1147C2×C42C2412yes—
1148C2×C42C2411yescharacteristic
1149C2×C42C2411yescharacteristic
1150C2×C42C2411yescharacteristic
1151C2×C42C2411yescharacteristic
1152C2×C42C2414yes—
1153C2×C42C2411yescharacteristic
1154C2×C42C2411yescharacteristic
1155C2×C42C2414yes—
1156C2×C42C2411yescharacteristic
1157C2×C42C2412yes—
1158C2×C42C2411yescharacteristic
1159C2×C42C2411yescharacteristic
1160C2×C42C2411yescharacteristic
1161C2×C42C2411yescharacteristic
1162C2×C42C2412yes—
1163C2×C42C2414yes—
1164C2×C42C2412yes—
1165C2×C42C2412yes—
1166C2×C42C2414yes—
1167C2×C42C2412yes—
1168C2×C42C2414yes—
1169C2×C42C2414yes—
1170C2×C42C2412yes—
1171#95C2414yes—
1172#95C2414yes—
1173#95C2411yescharacteristic
1174#95C2411yescharacteristic
1175#95C2411yescharacteristic
1176#95C2411yescharacteristic
1177#95C2411yescharacteristic
1178#95C2411yescharacteristic
1179#95C2411yescharacteristic
1180#95C2411yescharacteristic
1181#95C2414yes—
1182#95C2414yes—
1183#95C2414yes—
1184#95C2414yes—
1185#95C2414yes—
1186#95C2414yes—
1187#95C2414yes—
1188#95C2414yes—
1189#95C2414yes—
1190#95C2414yes—
1191#95C2414yes—
1192#95C2414yes—
1193#95C2412yes—
1194#95C2412yes—
1195#95C2412yes—
1196#95C2412yes—
1197#95C2412yes—
1198#95C2412yes—
1199#95C2414yes—
1200#95C2414yes—
1201#95C2414yes—
1202#95C2414yes—
1203#95C2414yes—
1204#95C2414yes—
1205#95C2412yes—
1206#95C2412yes—
1207#95C2412yes—
1208#95C2412yes—
1209#95C2412yes—
1210#95C2412yes—
1211#95C2412yes—
1212#95C2412yes—
1213#95C2412yes—
1214#95C2412yes—
1215#95C2412yes—
1216#95C2412yes—
1217#95C2412yes—
1218#95C2412yes—
1219#95C2412yes—
1220#95C2414yes—
1221#95C2414yes—
1222#95C2412yes—
1223#95C2412yes—
1224#95C2412yes—
1225#95C2412yes—
1226#95C2412yes—
1227#95C2412yes—
1228#95C2412yes—
1229#95C2412yes—
1230#95C2412yes—
1231#95C2412yes—
1232#95C2412yes—
1233#95C2414yes—
1234#95C2414yes—
1235#95C2414yes—
1236#95C2414yes—
1237#95C2414yes—
1238#95C2414yes—
1239#95C2414yes—
1240#95C2414yes—
1241#95C2414yes—
1242#95C2414yes—
1243#95C2414yes—
1244#95C2414yes—
1245#95C2414yes—
1246#95C2414yes—
1247#95C2414yes—
1248#95C2414yes—
1249C24C2512yes—
1250C24C2511yescharacteristic
1251#41—416no—
1252C2×Q8—232no—
1253C2×Q8—24no—
1254C2×Q8—24no—
1255C2×Q8—24no—
1256C2×Q8—24no—
1257C2×Q8—24no—
1258C2×Q8—24no—
1259C2×Q8—22no—
1260C2×Q8—24no—
1261C2×Q8—28no—
1262C2×Q8—28no—
1263C2×Q8—24no—
1264C2×Q8—24no—
1265C2×Q8—24no—
1266C2×Q8—24no—
1267C2×Q8—24no—
1268C2×Q8—24no—
1269C2×Q8—24no—
1270C2×Q8—24no—
1271C2×Q8—24no—
1272C2×Q8—24no—
1273C2×Q8—24no—
1274C2×Q8—24no—
1275C2×Q8—22no—
1276C2×Q8—22no—
1277C2×Q8—24no—
1278C2×Q8—42no—
1279C2×Q8—42no—
1280C2×Q8—42no—
1281C2×Q8—42no—
1282C2×Q8—42no—
1283C2×Q8—44no—
1284C2×Q8—42no—
1285C2×Q8—44no—
1286C2×Q8—42no—
1287C2×Q8—44no—
1288C2×Q8—44no—
1289C2×Q8—42no—
1290C2×Q8—416no—
1291C2×Q8C22×D418yes—
1292C2×Q8C22×D418yes—
1293C2×D4—24no—
1294C2×D4—24no—
1295C2×D4—24no—
1296C2×D4—22no—
1297C2×D4—22no—
1298C2×D4—22no—
1299C22×C4—24no—
1300C22×C4—24no—
1301C22×C4—22no—
1302C22×C4—22no—
1303C22×C4—22no—
1304C22×C4—24no—
1305C22×C4—22no—
1306C22×C4—24no—
1307C22×C4—24no—
1308C22×C4—24no—
1309C22×C4—22no—
1310C22×C4—22no—
1311C22×C4—24no—
1312C22×C4—24no—
1313C22×C4—24no—
1314C22×C4—24no—
1315C22×C4—22no—
1316C22×C4—22no—
1317C22×C4—22no—
1318C22×C4—24no—
1319C22×C4—24no—
1320C22×C4—24no—
1321C22×C4—22no—
1322C22×C4—24no—
1323C22×C4—41no—
1324C22×C4—42no—
1325C22×C4—42no—
1326C22×C4—41no—
1327C22×C4—41no—
1328C22×C4—41no—
1329C22×C4—42no—
1330C22×C4—41no—
1331C22×C4—42no—
1332C22×C4—41no—
1333C22×C4—41no—
1334C22×C4—42no—
1335C22×C4—41no—
1336C22×C4—42no—
1337C22×C4C22×D418yes—
1338C22×C4C22×D414yes—
1339C22×C42−1+414yes—
1340C22×C42−1+414yes—
1341C22×C4C2511yescharacteristic
1342C22×C4C2512yes—
1343C22×C4C2511yescharacteristic
1344C22×C4C2511yescharacteristic
1345C22×C4C2512yes—
1346C22×C4C2512yes—
1347C22×C4C2514yes—
1348C22×C4C2512yes—
1349C22×C4C2514yes—
1350C22×C4C2512yes—
1351C22×C4C2511yescharacteristic
1352C22×C4C2512yes—
1353C22×C4C2512yes—
1354C22×C4C2512yes—
1355C22×C4C2512yes—
1356C22×C4C2512yes—
1357C22×C4C2511yescharacteristic
1358C22×C4C2511yescharacteristic
1359C22×C4C2514yes—
1360C22×C4C2511yescharacteristic
1361C22×C4C2512yes—
1362C22×C4C2511yescharacteristic
1363C22×C4C2514yes—
1364C22×C4C2512yes—
1365C22×C4C2512yes—
1366C22×C4C2512yes—
1367C22×C4C2512yes—
1368C22×C4C2511yescharacteristic
1369C22×C4C2511yescharacteristic
1370C22×C4C2511yescharacteristic
1371C22×C4C2511yescharacteristic
1372C22×C4C2511yescharacteristic
1373C22×C4C2511yescharacteristic
1374C4⋊C4—28no—
1375C4⋊C4—28no—
1376C4⋊C4—28no—
1377C4⋊C4—28no—
1378C4⋊C4—24no—
1379C4⋊C4—24no—
1380C4⋊C4—28no—
1381C4⋊C4—28no—
1382C4⋊C4—24no—
1383C4⋊C4—24no—
1384C4⋊C4—24no—
1385C4⋊C4—24no—
1386C4⋊C4—22no—
1387C4⋊C4—22no—
1388C4⋊C4—28no—
1389C4⋊C4—28no—
1390C4⋊C4—28no—
1391C4⋊C4—22no—
1392C4⋊C4—22no—
1393C4⋊C4—28no—
1394C4⋊C4—22no—
1395C4⋊C4—22no—
1396C4⋊C4—24no—
1397C4⋊C4—24no—
1398C4⋊C4—24no—
1399C4⋊C4—24no—
1400C4⋊C4—24no—
1401C4⋊C4—24no—
1402C4⋊C4—28no—
1403C4⋊C4—28no—
1404C4⋊C4—28no—
1405C4⋊C4—28no—
1406C4⋊C4—28no—
1407C4⋊C4—24no—
1408C4⋊C4—24no—
1409C4⋊C4—28no—
1410C4⋊C4—24no—
1411C4⋊C4—24no—
1412C4⋊C4—24no—
1413C4⋊C4—24no—
1414C4⋊C4—28no—
1415C4⋊C4—24no—
1416C4⋊C4—24no—
1417C4⋊C4—28no—
1418C4⋊C4—28no—
1419C4⋊C4—24no—
1420C4⋊C4—24no—
1421C4⋊C4—28no—
1422C4⋊C4—22no—
1423C4⋊C4—22no—
1424C4⋊C4—22no—
1425C4⋊C4—24no—
1426C4⋊C4—24no—
1427C4⋊C4—22no—
1428C4⋊C4—22no—
1429C4⋊C4—22no—
1430C4⋊C4—22no—
1431C4⋊C4—24no—
1432C4⋊C4—24no—
1433C4⋊C4—24no—
1434C4⋊C4—24no—
1435C4⋊C4—24no—
1436C4⋊C4—22no—
1437C4⋊C4—28no—
1438C4⋊C4—22no—
1439C4⋊C4—24no—
1440C4⋊C4—24no—
1441C4⋊C4—41no—
1442C4⋊C4—44no—
1443C4⋊C4—41no—
1444C4⋊C4—42no—
1445C4⋊C4—44no—
1446C4⋊C4—42no—
1447C4⋊C4—42no—
1448C4⋊C4—42no—
1449C4⋊C4—42no—
1450C4⋊C4—44no—
1451C4⋊C4—42no—
1452C4⋊C4—42no—
1453C4⋊C4—42no—
1454C4⋊C4—42no—
1455C4⋊C4—44no—
1456C4⋊C4—42no—
1457C4⋊C4—42no—
1458C4⋊C4—44no—
1459C4⋊C4—42no—
1460C4⋊C4—44no—
1461C4⋊C4—42no—
1462C4⋊C4—44no—
1463C4⋊C4C22×D414yes—
1464C4⋊C4C22×D414yes—
1465C4⋊C4C22×D414yes—
1466C4⋊C4C22×D414yes—
1467C4⋊C4C22×D4116yes—
1468C4⋊C4C22×D4116yes—
1469C4⋊C42−1+414yes—
1470C22⋊C4—24no—
1471C22⋊C4—24no—
1472C22⋊C4—24no—
1473C22⋊C4—24no—
1474C22⋊C4—24no—
1475C22⋊C4—24no—
1476C22⋊C4—24no—
1477C22⋊C4—28no—
1478C22⋊C4—28no—
1479C22⋊C4—28no—
1480C22⋊C4—28no—
1481C22⋊C4—24no—
1482C22⋊C4—24no—
1483C22⋊C4—42no—
1484C22⋊C4—42no—
1485C22⋊C4—44no—
1486C22⋊C4—44no—
1487C22⋊C4—42no—
1488C22⋊C4—42no—
1489C22⋊C4—42no—
1490C22⋊C4—44no—
1491C22⋊C4—44no—
1492C22⋊C4—42no—
1493C22⋊C4C22×D418yes—
1494C22⋊C4C22×D418yes—
1495C42—22no—
1496C42—22no—
1497C42—24no—
1498C42—24no—
1499C42—22no—
1500C42—22no—
1501C42—28no—
1502C42—22no—
1503C42—22no—
1504C42—28no—
1505C42—22no—
1506C42—22no—
1507C42—28no—
1508C42—28no—
1509C42—24no—
1510C42—28no—
1511C42—28no—
1512C42—24no—
1513C42—24no—
1514C42—22no—
1515C42—22no—
1516C42—22no—
1517C42—22no—
1518C42—24no—
1519C42—24no—
1520C42—24no—
1521C42—42no—
1522C42—44no—
1523C42—42no—
1524C42—42no—
1525C42—44no—
1526C42C22×D418yes—
1527C42C22×D4116yes—
1528C42C22×D4116yes—
1529C42C22×D418yes—
1530C23—21no—
1531C23—21no—
1532C23—21no—
1533C23—21no—
1534C23—22no—
1535C23—22no—
1536C23—22no—
1537C23—22no—
1538C23—22no—
1539C23—22no—
1540C23—22no—
1541C23C23×D412yes—
1542C23C2×2−1+412yes—
1543C23C2×2−1+412yes—
1544C23C2611yescharacteristic
1545Q8—216no—
1546Q8—216no—
1547Q8—48no—
1548Q8—48no—
1549Q8—48no—
1550Q8—48no—
1551Q8—48no—
1552Q8—48no—
1553Q8—44no—
1554Q8—84no—
1555Q8—88no—
1556Q8—88no—
1557Q8—84no—
1558D4—48no—
1559D4—44no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—22no—
1565C2×C4—22no—
1566C2×C4—24no—
1567C2×C4—24no—
1568C2×C4—22no—
1569C2×C4—21no—
1570C2×C4—22no—
1571C2×C4—22no—
1572C2×C4—22no—
1573C2×C4—22no—
1574C2×C4—22no—
1575C2×C4—21no—
1576C2×C4—21no—
1577C2×C4—21no—
1578C2×C4—216no—
1579C2×C4—21no—
1580C2×C4—22no—
1581C2×C4—22no—
1582C2×C4—22no—
1583C2×C4—22no—
1584C2×C4—22no—
1585C2×C4—22no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—24no—
1589C2×C4—22no—
1590C2×C4—21no—
1591C2×C4—24no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—22no—
1597C2×C4—22no—
1598C2×C4—22no—
1599C2×C4—22no—
1600C2×C4—22no—
1601C2×C4—22no—
1602C2×C4—22no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—24no—
1607C2×C4—22no—
1608C2×C4—22no—
1609C2×C4—22no—
1610C2×C4—22no—
1611C2×C4—24no—
1612C2×C4—24no—
1613C2×C4—22no—
1614C2×C4—22no—
1615C2×C4—24no—
1616C2×C4—21no—
1617C2×C4—21no—
1618C2×C4—22no—
1619C2×C4—24no—
1620C2×C4—22no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—22no—
1624C2×C4—21no—
1625C2×C4—22no—
1626C2×C4—21no—
1627C2×C4—22no—
1628C2×C4—24no—
1629C2×C4—22no—
1630C2×C4—21no—
1631C2×C4—21no—
1632C2×C4—22no—
1633C2×C4—21no—
1634C2×C4—22no—
1635C2×C4—22no—
1636C2×C4—24no—
1637C2×C4—22no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—22no—
1642C2×C4—22no—
1643C2×C4—21no—
1644C2×C4—22no—
1645C2×C4—48no—
1646C2×C4—48no—
1647C2×C4—44no—
1648C2×C4—44no—
1649C2×C4—44no—
1650C2×C4—44no—
1651C2×C4—48no—
1652C2×C4—48no—
1653C2×C4—82no—
1654C2×C4—84no—
1655C2×C4—82no—
1656C2×C4—84no—
1657C2×C4#536116yes—
1658C2×C4C23×D418yes—
1659C2×C4C23×D414yes—
1660C2×C4C23×D414yes—
1661C2×C4C23×D414yes—
1662C2×C4C23×D414yes—
1663C2×C4C23×D412yes—
1664C2×C4C23×D412yes—
1665C2×C4C2×2−1+412yes—
1666C2×C4C2×2−1+412yes—
1667C2×C4C2×2−1+412yes—
1668C2×C4C2×2−1+412yes—
1669C2×C4C2×2−1+412yes—
1670C2×C4C2×2−1+412yes—
1671C2×C4C2×2−1+412yes—
1672C2×C4#58512yes—
1673C22—22no—
1674C22—22no—
1675C22—22no—
1676C22—22no—
1677C22—22no—
1678C22—22no—
1679C22—42no—
1680C22—42no—
1681C22—42no—
1682C22—42no—
1683C22—42no—
1684C22—42no—
1685C22—42no—
1686C22C2×#53614yes—
1687C22C24×D411yescharacteristic
1688C22C22×2−1+411yescharacteristic
1689C22C22×2−1+411yescharacteristic
1690C22C22×2−1+411yescharacteristic
1691C22C2×#58511yescharacteristic
1692C222−1+611yescharacteristic
1693C222−1+611yescharacteristic
1694C4—22no—
1695C4—24no—
1696C4—22no—
1697C4—24no—
1698C4—22no—
1699C4—24no—
1700C4—24no—
1701C4—22no—
1702C4—28no—
1703C4—41no—
1704C4—41no—
1705C4—42no—
1706C4—42no—
1707C4—42no—
1708C4—41no—
1709C4—41no—
1710C4—44no—
1711C4—41no—
1712C4—42no—
1713C4—42no—
1714C4—42no—
1715C4—42no—
1716C4—41no—
1717C4—42no—
1718C4—41no—
1719C4—41no—
1720C4—42no—
1721C4—44no—
1722C4—42no—
1723C4—44no—
1724C4—42no—
1725C4C2×#53614yes—
1726C4C2×#53614yes—
1727C2—24no—
1728C2—82no—
1729C2C22×#53611yescharacteristic
1730C2#6283711yescharacteristic
1731C2#6288911yescharacteristic
1732C2#6293211yescharacteristic
1733C2#6294711yescharacteristic
1734C2D4×2−1+411yescharacteristic
1735C2#6300211yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC22×#41C23
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
2. C2×#3502C2semidirect
3. #42884C2semidirect
4. #42879C2semidirect
5. #42811C2semidirect
6. #42811C2semidirect
7. #42809C2semidirect
8. #42801C2semidirect
9. #42801C2semidirect
10. #42793C2semidirect
11. #42150C2semidirect
12. #41939C2semidirect
13. #39951C2semidirect
14. #39951C2semidirect
15. #39855C2semidirect
16. #39855C2semidirect
17. #39724C2semidirect
18. #39619C2semidirect
19. #39597C2semidirect
20. #39170C2semidirect
21. #38371C2semidirect
22. #38371C2semidirect
23. #35674C2semidirect
25. #35668C2semidirect
26. #35662C2semidirect
28. #35566C2semidirect
32. #34938C2semidirect
34. C2×#2446C2semidirect
35. #34254C2semidirect

Maximal subgroups

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

subgroupindex
C2×#35092
C2×#35022
#428842
#428792
#428112
#428092
#428012
#427932
#421502
#419392
#399512
#398552
#397242
#396192
#395972
#391702
#383712
#356742
#356732
#356682
#356622
#356282
#355662
#353122
#352572
#351822
#349382
#347452
C2×#24462
#342542