Finite Group Databasebeta

← #7987210

Subgroups — #7987210

Order 512.

4437 conjugacy classes of subgroups.

The subgroup lattice has 1564 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59666C211yesmaximal, characteristic, complemented
2#59464C211yesmaximal, characteristic, complemented
3#59461C212yesmaximal
4#59459C211yesmaximal, characteristic, complemented
5#59325C212yesmaximal, complemented
6#51218C214yesmaximal, complemented
7#50903C214yesmaximal, complemented
8#46151C214yesmaximal, complemented
9#45434C212yesmaximal
10#45274C212yesmaximal, complemented
11#45213C212yesmaximal
12#45099C212yesmaximal, complemented
13#42955C212yesmaximal, complemented
14#42932C212yesmaximal, complemented
15#42823C212yesmaximal, complemented
16#42820C212yesmaximal, complemented
17#39753C211yesmaximal, characteristic, complemented
18#39699C214yesmaximal, complemented
19#39675C212yesmaximal
20#39603C212yesmaximal, complemented
21#39370C211yesmaximal, characteristic
22#39369C211yesmaximal, characteristic
23#39182C211yesmaximal, characteristic, complemented
24#36563C211yesmaximal, characteristic, complemented
25#36478C212yesmaximal, complemented
26#36466C211yesmaximal, characteristic, complemented
27#36447C212yesmaximal, complemented
28#36165C211yesmaximal, characteristic
29#35330C212yesmaximal, complemented
30#35199C212yesmaximal, complemented
31#34941C211yesmaximal, characteristic
32#34920C211yesmaximal, characteristic, complemented
33#34481C211yesmaximal, characteristic
34#34481C211yesmaximal, characteristic
35C4×#556C211yesmaximal, characteristic
36C2×#557C2212yes—
37C2×#556C2211yescharacteristic
38C2×#544C2212yes—
39C2×#544C2212yes—
40#2868C2211yescharacteristic
41#2863C2214yes—
42#2862C2214yes—
43#2859C2214yes—
44#2859C2211yescharacteristic
45#2859C2211yescharacteristic
46#2859C2212yes—
47#2851C2212yes—
48#2843C2214yes—
49#2843C2214yes—
50#2805C2214yes—
51#2802C2214yes—
52#2792C2214yes—
53#2792C2214yes—
54#2791C2214yes—
55#2791C2214yes—
56#2790C2214yes—
57#2788C2214yes—
58#2788C2214yes—
59#2774C2214yes—
60#2774C2214yes—
61#2768C2214yes—
62#2768C2214yes—
63#2768C2214yes—
64#2763C2214yes—
65#2755C2214yes—
66#2755C2214yes—
67#2742C2214yes—
68#2734C2214yes—
69#2729C2214yes—
70#2729C2214yes—
71#2726C2214yes—
72#2720C2214yes—
73#2720C2214yes—
74#2720C2214yes—
75#2713C2214yes—
76#2713C2214yes—
77#2713C2214yes—
78#2704C2214yes—
79#2704C2214yes—
80#2704C2214yes—
81#2704C2214yes—
82#2677C2214yes—
83#2666C2214yes—
84#2666C2214yes—
85#2666C2214yes—
86#2666C2214yes—
87#2660C2214yes—
88#2660C2214yes—
89#2660C2212yes—
90#2647C2212yes—
91#2629C2212yes—
92#2628C2212yes—
93#2606C2214yes—
94#2605C2214yes—
95#2590C2212yes—
96#2589C2214yes—
97#2588C2212yes—
98#2588C2214yes—
99#2587C2214yes—
100#2586C2214yes—
101#2584C2214yes—
102#2584C2212yes—
103#2584C2211yescharacteristic
104#2584C2212yes—
105#2582C2212yes—
106#2582C2212yes—
107#2581C2212yes—
108#2581C2211yescharacteristic
109#2574C2214yes—
110#2574C2212yes—
111#2574C2214yes—
112#2574C2212yes—
113#2571C2211yescharacteristic
114#2571C2212yes—
115#2571C2214yes—
116#2571C2211yescharacteristic
117#2570C2212yes—
118#2568C2212yes—
119#2568C2212yes—
120#2567C2212yes—
121#2567C2212yes—
122#2567C2211yescharacteristic
123#2567C2212yes—
124#2565C2212yes—
125#2565C2212yes—
126#2565C2211yescharacteristic
127#2563C2211yescharacteristic
128#2556C2214yes—
129#2556C2214yes—
130#2552C2211yescharacteristic
131#2552C2212yes—
132#2552C2211yescharacteristic
133#2552C2211yescharacteristic
134#2552C2212yes—
135#2552C2212yes—
136#2552C2214yes—
137#2551C2211yescharacteristic
138#2551C2212yes—
139#2551C2212yes—
140#2551C2211yescharacteristic
141#2550C2211yescharacteristic
142#2550C2212yes—
143#2550C2212yes—
144#2550C2212yes—
145#2550C2212yes—
146#2550C2212yes—
147#2550C2212yes—
148#2550C2212yes—
149#2550C2212yes—
150#2550C2214yes—
151#2550C2212yes—
152#2549C2214yes—
153#2549C2214yes—
154#2549C2214yes—
155#2549C2214yes—
156#2549C2214yes—
157#2546C2212yes—
158#2542C2212yes—
159#2538C2211yescharacteristic
160#2538C2212yes—
161#2522C2214yes—
162#2520C2212yes—
163#2520C2214yes—
164#2520C2214yes—
165#2520C2214yes—
166#2509C2212yes—
167#2508C2212yes—
168#2508C2212yes—
169#2508C2214yes—
170#2508C2212yes—
171#2508C2212yes—
172#2508C2214yes—
173#2508C2212yes—
174#2508C2211yescharacteristic
175#2508C2211yescharacteristic
176#2508C2211yescharacteristic
177#2507C2212yes—
178#2507C2212yes—
179#2507C2212yes—
180#2506C2214yes—
181#2506C2214yes—
182#2506C2212yes—
183#2506C2212yes—
184#2506C2212yes—
185#2506C2211yescharacteristic
186#2505C2214yes—
187#2505C2214yes—
188#2505C2214yes—
189#2505C2214yes—
190#2497C2212yes—
191#2492C2214yes—
192#2465C2214yes—
193#2462C2212yes—
194#2454C2211yescharacteristic
195#2454C2211yescharacteristic
196#2453C2212yes—
197#2453C2212yes—
198#2453C2211yescharacteristic
199#2452C2212yes—
200#2452C2212yes—
201#2451C2211yescharacteristic
202#2451C2212yes—
203#2451C2212yes—
204#2451C2212yes—
205#2451C2212yes—
206#2451C2212yes—
207#2451C2212yes—
208#2451C2214yes—
209#2446C2214yes—
210#2442C2212yes—
211#2442C2212yes—
212#2442C2212yes—
213#2441C2212yes—
214#2440C2212yes—
215#2439C2212yes—
216#2423C2214yes—
217#2423C2212yes—
218#2402C2212yes—
219#2399C2212yes—
220#2396C2212yes—
221#2396C2212yes—
222#2383C2214yes—
223#2383C2214yes—
224#2373C2214yes—
225#2370C2212yes—
226#2370C2212yes—
227#2369C2212yes—
228#2369C2212yes—
229#2368C2214yes—
230#2367C2212yes—
231#2367C2212yes—
232#2367C2212yes—
233#2365C2211yescharacteristic
234#2365C2211yescharacteristic
235#2365C2211yescharacteristic
236#2362C2212yes—
237#2360C2212yes—
238#2360C2212yes—
239#2356C2212yes—
240#2355C2211yescharacteristic
241#2355C2212yes—
242#2354C2211yescharacteristic
243#2351C2212yes—
244#2351C2212yes—
245#2351C2212yes—
246Q8×C4⋊C4C2211yescharacteristic
247Q8×C4⋊C4C2212yes—
248Q8×C4⋊C4C2212yes—
249Q8×C4⋊C4C2212yes—
250Q8×C4⋊C4C2212yes—
251Q8×C4⋊C4C2211yescharacteristic
252#2349C2212yes—
253#2349C2212yes—
254D4×C4⋊C4C2211yescharacteristic
255D4×C4⋊C4C2211yescharacteristic
256#2347C2212yes—
257#2347C2212yes—
258#2347C2212yes—
259#2334C2214yes—
260#2334C2214yes—
261#2331C2212yes—
262#2331C2212yes—
263#2326C2212yes—
264#2326C2212yes—
265#2323C2212yes—
266#2323C2212yes—
267#2320C2212yes—
268#2320C2212yes—
269#2317C2212yes—
270#2317C2212yes—
271C4×C4⋊Q8C2211yescharacteristic
272C4×C4⋊Q8C2211yescharacteristic
273C4×C4⋊Q8C2211yescharacteristic
274C4×C4⋊Q8C2211yescharacteristic
275C4×C4⋊Q8C2212yes—
276C4×C4⋊Q8C2211yescharacteristic
277C4×#125C2211yescharacteristic
278C4×#125C2214yes—
279C4×#125C2211yescharacteristic
280C4×#125C2212yes—
281C4×#125C2211yescharacteristic
282C4×#125C2211yescharacteristic
283C4×#126C2214yes—
284C4×#124C2212yes—
285C4×C22⋊Q8C2212yes—
286C4×C22⋊Q8C2212yes—
287#2295C2211yescharacteristic
288#2295C2211yescharacteristic
289#2295C2212yes—
290#2293C2211yescharacteristic
291#2293C2211yescharacteristic
292#2285C2212yes—
293C2×#382C2212yes—
294C42×Q8C2212yes—
295C42×Q8C2211yescharacteristic
296C42×Q8C2211yescharacteristic
297C42×D4C2211yescharacteristic
298C4×#117C2212yes—
299#557—48no—
300#556Q8116yescomplemented
301#544—48no—
302#544—48no—
303C2×C4⋊Q8C2311yescharacteristic
304C2×C4⋊Q8C2312yes—
305C2×C4⋊Q8C2311yescharacteristic
306C2×C4⋊Q8C2312yes—
307C2×C4⋊Q8C2312yes—
308C2×C4⋊Q8C2312yes—
309C2×C4⋊Q8C2312yes—
310C2×C4⋊Q8C2312yes—
311C2×C4⋊Q8C2314yes—
312C2×C4⋊Q8C2314yes—
313C2×C4⋊Q8C2312yes—
314C2×C4⋊Q8C2314yes—
315C2×C4⋊Q8C2311yescharacteristic
316C2×#126C2314yes—
317C2×#125C2311yescharacteristic
318C2×#125C2311yescharacteristic
319C2×#125C2312yes—
320C2×#125C2311yescharacteristic
321C2×#125C2311yescharacteristic
322C2×#125C2314yes—
323C2×#125C2312yes—
324C2×#125C2312yes—
325C2×#125C2312yes—
326C2×#125C2314yes—
327C2×#125C2312yes—
328C2×#125C2314yes—
329C2×#125C2314yes—
330C2×#125C2314yes—
331C2×#124C2312yes—
332C2×C22⋊Q8C2314yes—
333C2×C22⋊Q8C2314yes—
334C2×C22⋊Q8C2314yes—
335C2×C22⋊Q8C2312yes—
336C2×C22⋊Q8C2314yes—
337C2×C22⋊Q8C2314yes—
338C2×C22⋊Q8C2312yes—
339C2×C4×Q8C2311yescharacteristic
340C2×C4×Q8C2311yescharacteristic
341C2×C4×Q8C2311yescharacteristic
342C2×C4×Q8C2312yes—
343C2×C4×Q8C2312yes—
344C2×C4×Q8C2312yes—
345C2×C4×Q8C2312yes—
346C2×C4×Q8C2314yes—
347C2×C4×Q8C2312yes—
348C2×C4×Q8C2312yes—
349C2×C4×Q8C2311yescharacteristic
350C2×C4×Q8C2312yes—
351C2×C4×Q8C2311yescharacteristic
352C2×C4×Q8C2312yes—
353C2×C4×Q8C2312yes—
354C2×C4×Q8C2312yes—
355C2×C4×Q8C2312yes—
356C2×C4×Q8C2311yescharacteristic
357C2×C4×D4C2311yescharacteristic
358C2×C4×D4C2312yes—
359C2×C4×D4C2312yes—
360C2×C4×D4C2311yescharacteristic
361C2×C4×D4C2311yescharacteristic
362C2×#117C2312yes—
363C2×#117C2312yes—
364C2×#117C2312yes—
365C2×#117C2312yes—
366C22×C4⋊C4C2312yes—
367C22×C4⋊C4C2312yes—
368C22×C42C2312yes—
369#400C2314yes—
370#400C2314yes—
371#400C2314yes—
372#400C2314yes—
373#400C2314yes—
374#400C2312yes—
375#400C2314yes—
376#400C2314yes—
377#400C2314yes—
378#400C2314yes—
379#400C2314yes—
380#400C2314yes—
381#400C2314yes—
382#400C2312yes—
383#400C2314yes—
384#400C2312yes—
385#400C2314yes—
386#400C2314yes—
387#400C2312yes—
388#400C2312yes—
389#400C2312yes—
390#399C2314yes—
391#399C2314yes—
392#399C2312yes—
393#399C2312yes—
394#398C2314yes—
395#398C2312yes—
396#398C2312yes—
397#398C2314yes—
398#398C2314yes—
399#398C2314yes—
400#398C2314yes—
401#398C2312yes—
402#398C2312yes—
403#398C2314yes—
404#398C2312yes—
405#398C2314yes—
406#398C2314yes—
407#398C2314yes—
408#398C2314yes—
409#398C2314yes—
410#398C2314yes—
411#398C2314yes—
412#398C2314yes—
413#398C2314yes—
414#398C2314yes—
415#398C2312yes—
416#398C2314yes—
417#398C2314yes—
418#398C2314yes—
419#398C2314yes—
420#398C2314yes—
421#398C2312yes—
422#398C2314yes—
423#398C2314yes—
424#398C2312yes—
425#398C2312yes—
426#398C2314yes—
427#398C2314yes—
428#398C2312yes—
429#398C2312yes—
430#398C2312yes—
431#398C2314yes—
432#398C2314yes—
433#398C2314yes—
434#398C2314yes—
435#398C2314yes—
436#396C2314yes—
437#396C2314yes—
438#396C2312yes—
439#396C2312yes—
440#396C2314yes—
441#396C2314yes—
442#396C2312yes—
443#396C2312yes—
444#395C2314yes—
445#395C2312yes—
446#395C2312yes—
447#395C2314yes—
448#395C2314yes—
449#395C2314yes—
450#395C2314yes—
451#395C2314yes—
452#395C2314yes—
453#395C2312yes—
454#395C2314yes—
455#395C2314yes—
456#395C2314yes—
457#395C2314yes—
458#395C2312yes—
459#395C2314yes—
460#395C2314yes—
461#395C2314yes—
462#395C2312yes—
463#395C2314yes—
464#395C2312yes—
465#395C2314yes—
466#395C2314yes—
467#393C2312yes—
468#393C2312yes—
469#393C2314yes—
470#393C2314yes—
471#391C2312yes—
472#391C2312yes—
473#391C2312yes—
474#391C2312yes—
475#391C2312yes—
476#391C2314yes—
477#391C2311yescharacteristic
478#391C2312yes—
479#391C2312yes—
480#391C2311yescharacteristic
481#391C2311yescharacteristic
482#391C2312yes—
483#391C2314yes—
484#391C2314yes—
485#391C2312yes—
486#391C2311yescharacteristic
487#391C2314yes—
488#391C2312yes—
489#391C2314yes—
490#391C2314yes—
491#391C2314yes—
492#391C2314yes—
493#391C2314yes—
494#391C2314yes—
495#391C2314yes—
496#391C2314yes—
497#391C2314yes—
498#391C2314yes—
499#391C2312yes—
500#391C2314yes—
501#391C2314yes—
502#391C2312yes—
503#390C2311yescharacteristic
504#390C2311yescharacteristic
505#390C2311yescharacteristic
506#390C2312yes—
507#390C2311yescharacteristic
508#389C2312yes—
509#389C2311yescharacteristic
510#389C2311yescharacteristic
511#389C2311yescharacteristic
512#389C2311yescharacteristic
513#389C2311yescharacteristic
514#389C2311yescharacteristic
515#389C2311yescharacteristic
516#389C2314yes—
517#389C2312yes—
518#389C2311yescharacteristic
519#389C2311yescharacteristic
520#389C2312yes—
521#389C2312yes—
522#389C2312yes—
523#389C2312yes—
524#389C2312yes—
525#389C2311yescharacteristic
526#389C2314yes—
527#389C2312yes—
528#389C2311yescharacteristic
529#389C2312yes—
530#389C2312yes—
531#389C2311yescharacteristic
532#389C2312yes—
533#389C2312yes—
534#389C2311yescharacteristic
535#389C2312yes—
536#389C2314yes—
537#389C2312yes—
538#389C2311yescharacteristic
539#389C2314yes—
540#389C2312yes—
541#389C2312yes—
542#389C2312yes—
543#389C2314yes—
544#389C2314yes—
545#389C2312yes—
546#389C2312yes—
547#389C2312yes—
548#389C2314yes—
549#389C2314yes—
550#389C2312yes—
551#389C2312yes—
552#389C2314yes—
553#389C2311yescharacteristic
554#389C2311yescharacteristic
555#389C2312yes—
556#389C2312yes—
557#389C2312yes—
558#389C2311yescharacteristic
559#389C2312yes—
560#389C2312yes—
561#389C2314yes—
562#389C2314yes—
563#389C2312yes—
564#389C2312yes—
565#389C2312yes—
566#389C2314yes—
567#389C2314yes—
568#389C2312yes—
569#389C2314yes—
570#389C2314yes—
571#389C2311yescharacteristic
572#389C2311yescharacteristic
573#389C2312yes—
574#389C2312yes—
575#389C2314yes—
576#389C2314yes—
577#389C2312yes—
578#389C2314yes—
579#389C2314yes—
580#389C2314yes—
581#389C2314yes—
582#389C2314yes—
583#389C2312yes—
584#389C2314yes—
585#389C2314yes—
586#389C2312yes—
587#389C2314yes—
588#389C2312yes—
589#389C2312yes—
590#389C2311yescharacteristic
591#389C2312yes—
592#389C2314yes—
593#389C2314yes—
594#389C2314yes—
595#389C2312yes—
596#388C2314yes—
597#388C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2314yes—
601#388C2314yes—
602#388C2314yes—
603#388C2312yes—
604#388C2312yes—
605#388C2312yes—
606#388C2312yes—
607#388C2314yes—
608#388C2314yes—
609#388C2314yes—
610#388C2314yes—
611#388C2314yes—
612#388C2314yes—
613#387C2314yes—
614#387C2314yes—
615#387C2314yes—
616#387C2312yes—
617#387C2312yes—
618#387C2312yes—
619#387C2312yes—
620#387C2312yes—
621#387C2312yes—
622#387C2312yes—
623#387C2312yes—
624#387C2312yes—
625#387C2312yes—
626#387C2314yes—
627#387C2314yes—
628#387C2314yes—
629#387C2312yes—
630#387C2312yes—
631#387C2312yes—
632#387C2314yes—
633#387C2312yes—
634#387C2314yes—
635#387C2314yes—
636#387C2314yes—
637#387C2314yes—
638#387C2314yes—
639#387C2314yes—
640#387C2314yes—
641#387C2314yes—
642#387C2314yes—
643#387C2312yes—
644#387C2314yes—
645#387C2314yes—
646#387C2314yes—
647#387C2314yes—
648#387C2314yes—
649#387C2312yes—
650#387C2314yes—
651#387C2314yes—
652#387C2314yes—
653#387C2314yes—
654#387C2314yes—
655#387C2314yes—
656#387C2312yes—
657#387C2312yes—
658#387C2314yes—
659#387C2312yes—
660#387C2312yes—
661#387C2314yes—
662#387C2314yes—
663#387C2312yes—
664#387C2312yes—
665#385C2314yes—
666#385C2314yes—
667#385C2314yes—
668#385C2314yes—
669#385C2312yes—
670#385C2314yes—
671#385C2312yes—
672#385C2314yes—
673#385C2314yes—
674#385C2314yes—
675#385C2314yes—
676#385C2314yes—
677#385C2314yes—
678#385C2314yes—
679#385C2314yes—
680#385C2314yes—
681#385C2314yes—
682#384C2312yes—
683#384C2311yescharacteristic
684#384C2311yescharacteristic
685#384C2311yescharacteristic
686#384C2311yescharacteristic
687#384C2311yescharacteristic
688#384C2312yes—
689#384C2312yes—
690#384C2314yes—
691#384C2314yes—
692#384C2312yes—
693#384C2312yes—
694#384C2314yes—
695#384C2312yes—
696#384C2314yes—
697#384C2312yes—
698#384C2312yes—
699#384C2312yes—
700#383C2314yes—
701#383C2314yes—
702#383C2314yes—
703#382C2311yescharacteristic
704#382C2311yescharacteristic
705#382C2311yescharacteristic
706#382C2314yes—
707#382C2312yes—
708#382C2311yescharacteristic
709#382C2312yes—
710#382C2312yes—
711#382C2312yes—
712#382C2312yes—
713#382C2312yes—
714#382C2312yes—
715#382C2314yes—
716#382C2314yes—
717#382C2314yes—
718#382C2314yes—
719#382C2312yes—
720#382C2314yes—
721#382C2312yes—
722#382C2312yes—
723#382C2314yes—
724#382C2314yes—
725#380C2312yes—
726#380C2312yes—
727#380C2312yes—
728#380C2312yes—
729#380C2312yes—
730#380C2312yes—
731#380C2312yes—
732#380C2314yes—
733#380C2314yes—
734#380C2314yes—
735#380C2312yes—
736C4×C4⋊C4C2312yes—
737C4×C4⋊C4C2312yes—
738C4×C4⋊C4C2314yes—
739C4×C4⋊C4C2311yescharacteristic
740C4×C4⋊C4C2311yescharacteristic
741C4×C4⋊C4C2312yes—
742C4×C4⋊C4C2311yescharacteristic
743C4×C4⋊C4C2312yes—
744C4×C4⋊C4C2312yes—
745C4×C4⋊C4C2311yescharacteristic
746C4×C4⋊C4C2311yescharacteristic
747C4×C4⋊C4C2311yescharacteristic
748C4×C4⋊C4C2311yescharacteristic
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2314yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2314yes—
757C4×C4⋊C4C2314yes—
758C4×C4⋊C4C2314yes—
759C4×C4⋊C4C2314yes—
760C4×C4⋊C4C2314yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2314yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2314yes—
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2311yescharacteristic
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2311yescharacteristic
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2314yes—
789C4×C4⋊C4C2311yescharacteristic
790C4×C4⋊C4C2311yescharacteristic
791C4×C4⋊C4C2311yescharacteristic
792C4×C4⋊C4C2311yescharacteristic
793C4×C4⋊C4C2311yescharacteristic
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2314yes—
799C4×C22⋊C4C2314yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804#376C2312yes—
805#376C2312yes—
806#376C2314yes—
807C2×#95C2314yes—
808C2×#95C2314yes—
809C43C2314yes—
810C43C2311yescharacteristic
811C43C2311yescharacteristic
812C43C2311yescharacteristic
813C43C2312yes—
814C22×Q8C2411yescharacteristic
815C22×Q8C2411yescharacteristic
816C22×Q8C2412yes—
817C22×Q8C2412yes—
818C22×Q8C2414yes—
819C22×Q8C2412yes—
820C22×Q8C2414yes—
821C22×Q8C2414yes—
822C22×D4C2411yescharacteristic
823C23×C4C2412yes—
824C23×C4C2412yes—
825C23×C4C2412yes—
826C23×C4C2414yes—
827C23×C4C2414yes—
828C4⋊Q8—24no—
829C4⋊Q8—28no—
830C4⋊Q8—42no—
831C4⋊Q8—44no—
832C4⋊Q8—44no—
833C4⋊Q8—44no—
834C4⋊Q8—44no—
835C4⋊Q8—48no—
836C4⋊Q8—44no—
837C4⋊Q8—44no—
838C4⋊Q8—48no—
839C4⋊Q8—48no—
840C4⋊Q8C2×Q818yes—
841#126C2×Q8132yes—
842#125—24no—
843#125—28no—
844#125—24no—
845#125—42no—
846#125—42no—
847#125—48no—
848#125—48no—
849#125—44no—
850#125—44no—
851#125—44no—
852#125—48no—
853#125—44no—
854#125—48no—
855#125—48no—
856#124C2×Q8116yes—
857C22⋊Q8—48no—
858C22⋊Q8—48no—
859C22⋊Q8—48no—
860C22⋊Q8—44no—
861C22⋊Q8—48no—
862C22⋊Q8—48no—
863C22⋊Q8C2×Q8116yes—
864C4×Q8—24no—
865C4×Q8—24no—
866C4×Q8—24no—
867C4×Q8—44no—
868C4×Q8—42no—
869C4×Q8—44no—
870C4×Q8—44no—
871C4×Q8—44no—
872C4×Q8—44no—
873C4×Q8—44no—
874C4×Q8—44no—
875C4×Q8—44no—
876C4×Q8—42no—
877C4×Q8—44no—
878C4×Q8—44no—
879C4×Q8—48no—
880C4×Q8C2×Q8116yes—
881C4×Q8C2×Q818yes—
882C4×D4—44no—
883C4×D4—42no—
884C4×D4—42no—
885C4×D4—44no—
886C4×D4C2×Q818yes—
887#117—28no—
888#117—44no—
889#117—44no—
890#117C2×Q8116yes—
891C2×C4⋊C4—44no—
892C2×C4⋊C4—44no—
893C2×C4⋊C4C2411yescharacteristic
894C2×C4⋊C4C2411yescharacteristic
895C2×C4⋊C4C2412yes—
896C2×C4⋊C4C2412yes—
897C2×C4⋊C4C2412yes—
898C2×C4⋊C4C2411yescharacteristic
899C2×C4⋊C4C2412yes—
900C2×C4⋊C4C2412yes—
901C2×C4⋊C4C2411yescharacteristic
902C2×C4⋊C4C2411yescharacteristic
903C2×C4⋊C4C2411yescharacteristic
904C2×C4⋊C4C2414yes—
905C2×C4⋊C4C2412yes—
906C2×C4⋊C4C2411yescharacteristic
907C2×C4⋊C4C2412yes—
908C2×C4⋊C4C2411yescharacteristic
909C2×C4⋊C4C2411yescharacteristic
910C2×C4⋊C4C2411yescharacteristic
911C2×C4⋊C4C2411yescharacteristic
912C2×C4⋊C4C2412yes—
913C2×C4⋊C4C2412yes—
914C2×C4⋊C4C2412yes—
915C2×C4⋊C4C2412yes—
916C2×C4⋊C4C2412yes—
917C2×C4⋊C4C2414yes—
918C2×C4⋊C4C2414yes—
919C2×C4⋊C4C2412yes—
920C2×C4⋊C4C2414yes—
921C2×C4⋊C4C2412yes—
922C2×C4⋊C4C2411yescharacteristic
923C2×C4⋊C4C2411yescharacteristic
924C2×C4⋊C4C2411yescharacteristic
925C2×C4⋊C4C2412yes—
926C2×C4⋊C4C2412yes—
927C2×C4⋊C4C2411yescharacteristic
928C2×C4⋊C4C2414yes—
929C2×C4⋊C4C2414yes—
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2414yes—
936C2×C4⋊C4C2414yes—
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2414yes—
940C2×C4⋊C4C2411yescharacteristic
941C2×C4⋊C4C2411yescharacteristic
942C2×C4⋊C4C2414yes—
943C2×C4⋊C4C2414yes—
944C2×C4⋊C4C2411yescharacteristic
945C2×C4⋊C4C2411yescharacteristic
946C2×C4⋊C4C2411yescharacteristic
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2414yes—
949C2×C4⋊C4C2414yes—
950C2×C4⋊C4C2414yes—
951C2×C4⋊C4C2414yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2414yes—
956C2×C4⋊C4C2414yes—
957C2×C4⋊C4C2414yes—
958C2×C4⋊C4C2414yes—
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2414yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2414yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2414yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2414yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2414yes—
989C2×C4⋊C4C2411yescharacteristic
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2411yescharacteristic
992C2×C4⋊C4C2414yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2411yescharacteristic
996C2×C22⋊C4C2414yes—
997C2×C22⋊C4C2412yes—
998C2×C22⋊C4C2412yes—
999C2×C22⋊C4C2412yes—
1000C2×C22⋊C4C2412yes—
1001C2×C22⋊C4C2412yes—
1002C2×C22⋊C4C2412yes—
1003C2×C22⋊C4C2412yes—
1004C2×C22⋊C4C2414yes—
1005C2×C22⋊C4C2414yes—
1006C2×C22⋊C4C2414yes—
1007C2×C22⋊C4C2412yes—
1008C2×C22⋊C4C2412yes—
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2414yes—
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2414yes—
1013C2×C42—28no—
1014C2×C42C2411yescharacteristic
1015C2×C42C2411yescharacteristic
1016C2×C42C2412yes—
1017C2×C42C2412yes—
1018C2×C42C2414yes—
1019C2×C42C2411yescharacteristic
1020C2×C42C2412yes—
1021C2×C42C2411yescharacteristic
1022C2×C42C2412yes—
1023C2×C42C2411yescharacteristic
1024C2×C42C2412yes—
1025C2×C42C2411yescharacteristic
1026C2×C42C2411yescharacteristic
1027C2×C42C2411yescharacteristic
1028C2×C42C2412yes—
1029C2×C42C2411yescharacteristic
1030C2×C42C2412yes—
1031C2×C42C2411yescharacteristic
1032C2×C42C2411yescharacteristic
1033C2×C42C2411yescharacteristic
1034C2×C42C2412yes—
1035C2×C42C2412yes—
1036C2×C42C2412yes—
1037C2×C42C2414yes—
1038C2×C42C2414yes—
1039C2×C42C2414yes—
1040C2×C42C2411yescharacteristic
1041C2×C42C2414yes—
1042C2×C42C2411yescharacteristic
1043C2×C42C2414yes—
1044C2×C42C2414yes—
1045C2×C42C2414yes—
1046C2×C42C2414yes—
1047C2×C42C2414yes—
1048C2×C42C2412yes—
1049C2×C42C2412yes—
1050C2×C42C2411yescharacteristic
1051C2×C42C2411yescharacteristic
1052C2×C42C2411yescharacteristic
1053C2×C42C2414yes—
1054C2×C42C2411yescharacteristic
1055C2×C42C2412yes—
1056C2×C42C2411yescharacteristic
1057#95C2412yes—
1058#95C2412yes—
1059#95C2414yes—
1060#95C2414yes—
1061#95C2414yes—
1062#95C2414yes—
1063#95C2414yes—
1064#95C2414yes—
1065#95C2412yes—
1066#95C2414yes—
1067#95C2414yes—
1068#95C2414yes—
1069#95C2412yes—
1070#95C2412yes—
1071#95C2412yes—
1072#95C2412yes—
1073#95C2412yes—
1074#95C2412yes—
1075#95C2412yes—
1076#95C2412yes—
1077#95C2412yes—
1078#95C2412yes—
1079#95C2412yes—
1080#95C2412yes—
1081#95C2412yes—
1082#95C2412yes—
1083#95C2412yes—
1084#95C2414yes—
1085#95C2414yes—
1086#95C2414yes—
1087#95C2412yes—
1088#95C2412yes—
1089#95C2414yes—
1090#95C2411yescharacteristic
1091#95C2411yescharacteristic
1092#95C2412yes—
1093#95C2412yes—
1094#95C2412yes—
1095#95C2414yes—
1096#95C2411yescharacteristic
1097#95C2412yes—
1098#95C2414yes—
1099#95C2412yes—
1100#95C2412yes—
1101#95C2412yes—
1102#95C2411yescharacteristic
1103#95C2411yescharacteristic
1104#95C2411yescharacteristic
1105#95C2412yes—
1106#95C2412yes—
1107#95C2412yes—
1108#95C2412yes—
1109#95C2412yes—
1110#95C2412yes—
1111#95C2412yes—
1112#95C2414yes—
1113#95C2414yes—
1114#95C2412yes—
1115#95C2412yes—
1116#95C2414yes—
1117#95C2414yes—
1118#95C2414yes—
1119#95C2414yes—
1120#95C2414yes—
1121#95C2414yes—
1122#95C2412yes—
1123#95C2414yes—
1124#95C2414yes—
1125#95C2414yes—
1126#95C2414yes—
1127#95C2414yes—
1128#95C2414yes—
1129#95C2412yes—
1130#95C2412yes—
1131#95C2412yes—
1132#95C2412yes—
1133#95C2412yes—
1134#95C2412yes—
1135#95C2412yes—
1136#95C2412yes—
1137#95C2412yes—
1138#95C2414yes—
1139#95C2414yes—
1140#95C2414yes—
1141#95C2414yes—
1142#95C2414yes—
1143C24C2512yes—
1144C2×Q8—22no—
1145C2×Q8—28no—
1146C2×Q8—24no—
1147C2×Q8—22no—
1148C2×Q8—22no—
1149C2×Q8—24no—
1150C2×Q8—24no—
1151C2×Q8—22no—
1152C2×Q8—41no—
1153C2×Q8—42no—
1154C2×Q8—42no—
1155C2×Q8—44no—
1156C2×Q8—42no—
1157C2×Q8—42no—
1158C2×Q8—44no—
1159C2×Q8—42no—
1160C2×Q8—44no—
1161C2×Q8—44no—
1162C2×Q8—44no—
1163C2×Q8—44no—
1164C2×Q8—44no—
1165C2×Q8—44no—
1166C2×Q8C22×Q814yes—
1167C2×Q8C22×Q818yes—
1168C2×D4—22no—
1169C2×D4—22no—
1170C2×D4C22×Q814yes—
1171C22×C4—24no—
1172C22×C4—24no—
1173C22×C4—24no—
1174C22×C4—24no—
1175C22×C4—42no—
1176C22×C4—42no—
1177C22×C4—42no—
1178C22×C4—42no—
1179C22×C4—44no—
1180C22×C4—44no—
1181C22×C4—44no—
1182C22×C4—44no—
1183C22×C4—44no—
1184C22×C4—44no—
1185C22×C4C22×Q818yes—
1186C22×C4C2512yes—
1187C22×C4C2511yescharacteristic
1188C22×C4C2512yes—
1189C22×C4C2511yescharacteristic
1190C22×C4C2512yes—
1191C22×C4C2511yescharacteristic
1192C22×C4C2512yes—
1193C22×C4C2512yes—
1194C22×C4C2512yes—
1195C22×C4C2511yescharacteristic
1196C22×C4C2512yes—
1197C22×C4C2512yes—
1198C22×C4C2511yescharacteristic
1199C22×C4C2511yescharacteristic
1200C22×C4C2514yes—
1201C22×C4C2512yes—
1202C22×C4C2512yes—
1203C22×C4C2514yes—
1204C22×C4C2514yes—
1205C22×C4C2511yescharacteristic
1206C22×C4C2511yescharacteristic
1207C22×C4C2511yescharacteristic
1208C22×C4C2512yes—
1209C22×C4C2511yescharacteristic
1210C22×C4C2512yes—
1211C22×C4C2512yes—
1212C22×C4C2514yes—
1213C22×C4C2512yes—
1214C22×C4C2512yes—
1215C22×C4C2511yescharacteristic
1216C22×C4C2511yescharacteristic
1217C22×C4C2511yescharacteristic
1218C22×C4C2511yescharacteristic
1219C22×C4C2511yescharacteristic
1220C4⋊C4—22no—
1221C4⋊C4—22no—
1222C4⋊C4—24no—
1223C4⋊C4—24no—
1224C4⋊C4—24no—
1225C4⋊C4—24no—
1226C4⋊C4—28no—
1227C4⋊C4—24no—
1228C4⋊C4—24no—
1229C4⋊C4—24no—
1230C4⋊C4—28no—
1231C4⋊C4—28no—
1232C4⋊C4—22no—
1233C4⋊C4—24no—
1234C4⋊C4—22no—
1235C4⋊C4—22no—
1236C4⋊C4—22no—
1237C4⋊C4—24no—
1238C4⋊C4—24no—
1239C4⋊C4—22no—
1240C4⋊C4—22no—
1241C4⋊C4—22no—
1242C4⋊C4—24no—
1243C4⋊C4—24no—
1244C4⋊C4—22no—
1245C4⋊C4—22no—
1246C4⋊C4—22no—
1247C4⋊C4—22no—
1248C4⋊C4—24no—
1249C4⋊C4—24no—
1250C4⋊C4—24no—
1251C4⋊C4—28no—
1252C4⋊C4—24no—
1253C4⋊C4—22no—
1254C4⋊C4—22no—
1255C4⋊C4—44no—
1256C4⋊C4—44no—
1257C4⋊C4—42no—
1258C4⋊C4—42no—
1259C4⋊C4—42no—
1260C4⋊C4—44no—
1261C4⋊C4—42no—
1262C4⋊C4—42no—
1263C4⋊C4—42no—
1264C4⋊C4—42no—
1265C4⋊C4—44no—
1266C4⋊C4—42no—
1267C4⋊C4—42no—
1268C4⋊C4—42no—
1269C4⋊C4—42no—
1270C4⋊C4—41no—
1271C4⋊C4—42no—
1272C4⋊C4—41no—
1273C4⋊C4—44no—
1274C4⋊C4—44no—
1275C4⋊C4—44no—
1276C4⋊C4—44no—
1277C4⋊C4—44no—
1278C4⋊C4—44no—
1279C4⋊C4—41no—
1280C4⋊C4—42no—
1281C4⋊C4—41no—
1282C4⋊C4—42no—
1283C4⋊C4—41no—
1284C4⋊C4—42no—
1285C4⋊C4—44no—
1286C4⋊C4—42no—
1287C4⋊C4—44no—
1288C4⋊C4—42no—
1289C4⋊C4—44no—
1290C4⋊C4—42no—
1291C4⋊C4—42no—
1292C4⋊C4—44no—
1293C4⋊C4—44no—
1294C4⋊C4—44no—
1295C4⋊C4—44no—
1296C4⋊C4—44no—
1297C4⋊C4—44no—
1298C4⋊C4—44no—
1299C4⋊C4—42no—
1300C4⋊C4—44no—
1301C4⋊C4—42no—
1302C4⋊C4—42no—
1303C4⋊C4—42no—
1304C4⋊C4—42no—
1305C4⋊C4—42no—
1306C4⋊C4—44no—
1307C4⋊C4—42no—
1308C4⋊C4—44no—
1309C4⋊C4—44no—
1310C4⋊C4—42no—
1311C4⋊C4—42no—
1312C4⋊C4—42no—
1313C4⋊C4—44no—
1314C4⋊C4—44no—
1315C4⋊C4—44no—
1316C4⋊C4C22×Q814yes—
1317C4⋊C4C22×Q818yes—
1318C4⋊C4C22×Q814yes—
1319C4⋊C4C22×Q8116yes—
1320C4⋊C4C22×Q818yes—
1321C4⋊C4C22×Q818yes—
1322C4⋊C4H(5,𝔽2)14yes—
1323C22⋊C4—28no—
1324C22⋊C4—24no—
1325C22⋊C4—42no—
1326C22⋊C4—42no—
1327C22⋊C4—42no—
1328C22⋊C4—42no—
1329C22⋊C4—42no—
1330C22⋊C4—42no—
1331C22⋊C4—44no—
1332C22⋊C4—44no—
1333C22⋊C4—42no—
1334C22⋊C4—42no—
1335C22⋊C4—44no—
1336C22⋊C4—42no—
1337C22⋊C4C22×Q8116yes—
1338C22⋊C4C22×Q818yes—
1339C22⋊C4C22×Q8116yes—
1340C42—28no—
1341C42—22no—
1342C42—22no—
1343C42—24no—
1344C42—24no—
1345C42—24no—
1346C42—22no—
1347C42—24no—
1348C42—24no—
1349C42—24no—
1350C42—24no—
1351C42—22no—
1352C42—22no—
1353C42—22no—
1354C42—24no—
1355C42—22no—
1356C42—24no—
1357C42—22no—
1358C42—22no—
1359C42—22no—
1360C42—24no—
1361C42—22no—
1362C42—22no—
1363C42—41no—
1364C42—41no—
1365C42—41no—
1366C42—42no—
1367C42—44no—
1368C42—44no—
1369C42—41no—
1370C42—41no—
1371C42—44no—
1372C42—44no—
1373C42—44no—
1374C42—44no—
1375C42—44no—
1376C42—44no—
1377C42—42no—
1378C42—44no—
1379C42C22×Q8116yes—
1380C42C22×Q814yes—
1381C42C22×Q818yes—
1382C422−1+414yes—
1383C23—22no—
1384C23—22no—
1385C23—22no—
1386C23—22no—
1387C23—22no—
1388C23—22no—
1389C23C23×Q814yes—
1390C23C2611yescharacteristic
1391Q8—28no—
1392Q8—216no—
1393Q8—44no—
1394Q8—84no—
1395Q8—88no—
1396Q8—84no—
1397Q8—164no—
1398Q8—164no—
1399D4—28no—
1400C2×C4—22no—
1401C2×C4—22no—
1402C2×C4—22no—
1403C2×C4—21no—
1404C2×C4—22no—
1405C2×C4—21no—
1406C2×C4—21no—
1407C2×C4—21no—
1408C2×C4—22no—
1409C2×C4—21no—
1410C2×C4—22no—
1411C2×C4—24no—
1412C2×C4—24no—
1413C2×C4—21no—
1414C2×C4—21no—
1415C2×C4—21no—
1416C2×C4—22no—
1417C2×C4—22no—
1418C2×C4—216no—
1419C2×C4—21no—
1420C2×C4—22no—
1421C2×C4—22no—
1422C2×C4—24no—
1423C2×C4—21no—
1424C2×C4—21no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—22no—
1428C2×C4—22no—
1429C2×C4—21no—
1430C2×C4—24no—
1431C2×C4—24no—
1432C2×C4—22no—
1433C2×C4—22no—
1434C2×C4—22no—
1435C2×C4—22no—
1436C2×C4—22no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—22no—
1441C2×C4—22no—
1442C2×C4—21no—
1443C2×C4—22no—
1444C2×C4—22no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—22no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—22no—
1454C2×C4—22no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—22no—
1459C2×C4—22no—
1460C2×C4—22no—
1461C2×C4—22no—
1462C2×C4—22no—
1463C2×C4—21no—
1464C2×C4—24no—
1465C2×C4—24no—
1466C2×C4—24no—
1467C2×C4—21no—
1468C2×C4—24no—
1469C2×C4—22no—
1470C2×C4—22no—
1471C2×C4—22no—
1472C2×C4—22no—
1473C2×C4—24no—
1474C2×C4—22no—
1475C2×C4—22no—
1476C2×C4—22no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—22no—
1483C2×C4—22no—
1484C2×C4—22no—
1485C2×C4—22no—
1486C2×C4—24no—
1487C2×C4—22no—
1488C2×C4—84no—
1489C2×C4—84no—
1490C2×C4—164no—
1491C2×C4—164no—
1492C2×C4C23×Q814yes—
1493C2×C4C23×Q814yes—
1494C2×C4C23×Q812yes—
1495C2×C4C23×Q814yes—
1496C2×C4C23×Q818yes—
1497C2×C4C23×Q812yes—
1498C2×C4C23×Q812yes—
1499C2×C4C2×H(5,𝔽2)14yes—
1500C2×C4C2×H(5,𝔽2)12yes—
1501C2×C4C2×2−1+412yes—
1502C2×C4C2×2−1+412yes—
1503C2×C4C2×2−1+412yes—
1504C2×C4#58512yes—
1505C2×C4#58512yes—
1506C2×C4#58512yes—
1507C22—24no—
1508C22—24no—
1509C22—24no—
1510C22—42no—
1511C22—42no—
1512C22—42no—
1513C22—42no—
1514C22C24×Q811yescharacteristic
1515C22C22×H(5,𝔽2)11yescharacteristic
1516C22C22×2−1+411yescharacteristic
1517C22C2×#58511yescharacteristic
1518C22C2×#58511yescharacteristic
1519C22C2×#58511yescharacteristic
1520C222−1+611yescharacteristic
1521C4—22no—
1522C4—24no—
1523C4—22no—
1524C4—22no—
1525C4—24no—
1526C4—24no—
1527C4—28no—
1528C4—24no—
1529C4—22no—
1530C4—42no—
1531C4—42no—
1532C4—42no—
1533C4—41no—
1534C4—41no—
1535C4—41no—
1536C4—42no—
1537C4—42no—
1538C4—44no—
1539C4—42no—
1540C4—44no—
1541C4—41no—
1542C4—41no—
1543C4—42no—
1544C4—44no—
1545C4—42no—
1546C4—41no—
1547C4—41no—
1548C4—42no—
1549C4—41no—
1550C4—41no—
1551C4—42no—
1552C4—42no—
1553C4#350314yes—
1554C4#350414yes—
1555C2—44no—
1556C2#6275211yescharacteristic
1557C2C2×#350311yescharacteristic
1558C2C2×#350411yescharacteristic
1559C2#6292111yescharacteristic
1560C2#6295911yescharacteristic
1561C2#6300411yescharacteristic
1562C2#6303511yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC22×D4C24
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59666C2semidirect
2. #59464C2semidirect
4. #59459C2semidirect
5. #59325C2semidirect
6. #51218C2semidirect
7. #50903C2semidirect
8. #46151C2semidirect
10. #45274C2semidirect
12. #45099C2semidirect
13. #42955C2semidirect
14. #42932C2semidirect
15. #42823C2semidirect
16. #42820C2semidirect
17. #39753C2semidirect
18. #39699C2semidirect
20. #39603C2semidirect
23. #39182C2semidirect
24. #36563C2semidirect
25. #36478C2semidirect
26. #36466C2semidirect
27. #36447C2semidirect
29. #35330C2semidirect
30. #35199C2semidirect
32. #34920C2semidirect
300. #556Q8semidirect

Maximal subgroups

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

subgroupindex
#596662
#594642
#594612
#594592
#593252
#512182
#509032
#461512
#454342
#452742
#452132
#450992
#429552
#429322
#428232
#428202
#397532
#396992
#396752
#396032
#393702
#393692
#391822
#365632
#364782
#364662
#364472
#361652
#353302
#351992
#349412
#349202
#344812
C4×#5562