Finite Group Databasebeta

← #7674341

Subgroups — #7674341

Order 512.

6660 conjugacy classes of subgroups.

The subgroup lattice has 1626 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3523C211yesmaximal, characteristic, complemented
2C2×#3515C211yesmaximal, characteristic, complemented
3#45416C212yesmaximal, complemented
4#45412C212yesmaximal, complemented
5#45336C211yesmaximal, characteristic, complemented
6#45335C211yesmaximal, characteristic, complemented
7#45334C211yesmaximal, characteristic, complemented
8#45332C212yesmaximal, complemented
9#45267C211yesmaximal, characteristic, complemented
10#45264C212yesmaximal, complemented
11#45143C211yesmaximal, characteristic, complemented
12#45142C211yesmaximal, characteristic, complemented
13#45139C211yesmaximal, characteristic, complemented
14#45138C211yesmaximal, characteristic, complemented
15#39955C214yesmaximal, complemented
16#39946C214yesmaximal, complemented
17#38436C214yesmaximal, complemented
18#38431C214yesmaximal, complemented
19#37831C214yesmaximal, complemented
20#37821C214yesmaximal, complemented
21#37741C214yesmaximal, complemented
22#37719C214yesmaximal, complemented
23#35671C212yesmaximal, complemented
24#35625C212yesmaximal, complemented
25#35245C211yesmaximal, characteristic, complemented
26#35210C211yesmaximal, characteristic, complemented
27#35209C212yesmaximal, complemented
28#34643C211yesmaximal, characteristic, complemented
29#34312C212yesmaximal, complemented
30C4×#536C211yesmaximal, characteristic, complemented
31#34085C211yesmaximal, characteristic, complemented
32#3523—216no—
33#3515—216no—
34C2×#557C2212yes—
35C2×#557C2211yescharacteristic
36C2×#557C2211yescharacteristic
37C2×#557C2211yescharacteristic
38C2×#556C2212yes—
39C2×#556C2211yescharacteristic
40C2×#554C2211yescharacteristic
41C2×#554C2211yescharacteristic
42C2×#553C2212yes—
43C2×#552C2214yes—
44C2×#552C2214yes—
45C2×#552C2212yes—
46C2×#552C2212yes—
47C2×#552C2212yes—
48C2×D4×Q8C2212yes—
49C2×D4×Q8C2211yescharacteristic
50C2×#548C2212yes—
51C2×#547C2212yes—
52C2×#547C2211yescharacteristic
53C2×#541C2212yes—
54C2×#541C2212yes—
55C2×#541C2214yes—
56C2×#539C2214yes—
57C2×#536C2211yescharacteristic
58C2×#533C2212yes—
59C2×#533C2211yescharacteristic
60C2×#529C2211yescharacteristic
61C2×#529C2212yes—
62C2×#529C2211yescharacteristic
63C2×#529C2212yes—
64C22×#125C2212yes—
65C2×#520C2212yes—
66C2×#519C2212yes—
67C2×C4×#41C2211yescharacteristic
68C22×C4×Q8C2211yescharacteristic
69#2860C2214yes—
70#2859C2214yes—
71#2853C2214yes—
72#2852C2214yes—
73#2730C2214yes—
74#2730C2214yes—
75#2729C2214yes—
76#2729C2214yes—
77#2725C2214yes—
78#2723C2214yes—
79#2721C2214yes—
80#2720C2214yes—
81#2719C2214yes—
82#2719C2214yes—
83#2719C2214yes—
84#2719C2214yes—
85#2718C2214yes—
86#2713C2214yes—
87#2713C2214yes—
88#2711C2214yes—
89#2706C2214yes—
90#2706C2214yes—
91#2705C2214yes—
92#2704C2214yes—
93#2703C2214yes—
94#2698C2214yes—
95#2694C2214yes—
96#2694C2214yes—
97#2690C2214yes—
98#2687C2214yes—
99#2681C2214yes—
100#2680C2214yes—
101#2676C2214yes—
102#2674C2214yes—
103#2674C2214yes—
104#2672C2214yes—
105#2664C2214yes—
106#2664C2212yes—
107#2664C2214yes—
108#2664C2212yes—
109#2663C2212yes—
110#2663C2212yes—
111#2662C2212yes—
112#2662C2212yes—
113#2661C2212yes—
114#2661C2212yes—
115#2638C2212yes—
116#2635C2212yes—
117#2634C2212yes—
118#2632C2212yes—
119#2611C2212yes—
120#2611C2214yes—
121#2611C2214yes—
122#2610C2212yes—
123#2604C2214yes—
124#2604C2214yes—
125#2603C2214yes—
126#2602C2214yes—
127#2601C2214yes—
128#2601C2214yes—
129#2591C2212yes—
130#2584C2214yes—
131#2583C2212yes—
132#2581C2211yescharacteristic
133#2581C2211yescharacteristic
134#2581C2211yescharacteristic
135#2580C2211yescharacteristic
136#2562C2214yes—
137#2552C2212yes—
138#2546C2212yes—
139#2542C2212yes—
140#2538C2212yes—
141#2536C2211yescharacteristic
142#2536C2211yescharacteristic
143#2536C2211yescharacteristic
144#2535C2211yescharacteristic
145#2519C2214yes—
146#2519C2214yes—
147#2512C2214yes—
148#2506C2214yes—
149#2489C2212yes—
150#2489C2212yes—
151#2487C2212yes—
152#2485C2212yes—
153#2481C2214yes—
154#2481C2214yes—
155#2481C2214yes—
156#2479C2214yes—
157#2479C2214yes—
158#2478C2214yes—
159#2477C2214yes—
160#2476C2214yes—
161#2475C2214yes—
162#2473C2214yes—
163#2473C2214yes—
164#2473C2214yes—
165#2470C2214yes—
166#2470C2214yes—
167#2469C2214yes—
168#2467C2214yes—
169#2467C2214yes—
170#2466C2214yes—
171#2465C2214yes—
172#2464C2214yes—
173#2462C2214yes—
174#2462C2214yes—
175#2462C2214yes—
176#2460C2214yes—
177#2460C2214yes—
178#2460C2214yes—
179#2458C2214yes—
180#2457C2214yes—
181#2456C2214yes—
182#2455C2214yes—
183#2454C2212yes—
184#2453C2212yes—
185#2449C2214yes—
186#2449C2214yes—
187#2446C2212yes—
188#2446C2212yes—
189#2442C2214yes—
190#2442C2212yes—
191#2441C2214yes—
192#2441C2212yes—
193#2440C2214yes—
194#2439C2214yes—
195#2434C2212yes—
196#2432C2212yes—
197#2429C2212yes—
198#2429C2212yes—
199#2429C2212yes—
200#2427C2212yes—
201#2423C2214yes—
202#2423C2214yes—
203#2423C2212yes—
204#2421C2214yes—
205#2421C2214yes—
206#2421C2212yes—
207#2417C2212yes—
208#2415C2212yes—
209#2409C2212yes—
210#2409C2212yes—
211#2407C2212yes—
212#2407C2212yes—
213#2399C2211yescharacteristic
214#2398C2211yescharacteristic
215#2398C2211yescharacteristic
216#2397C2211yescharacteristic
217#2392C2212yes—
218#2392C2212yes—
219#2367C2212yes—
220#2367C2214yes—
221#2363C2212yes—
222#2363C2214yes—
223#2360C2214yes—
224#2360C2212yes—
225#2352C2212yes—
226#2352C2214yes—
227#2351C2212yes—
228#2341C2212yes—
229Q8×C22⋊C4C2212yes—
230#2336C2214yes—
231#2332C2214yes—
232#2331C2211yescharacteristic
233#2331C2211yescharacteristic
234#2327C2211yescharacteristic
235#2327C2211yescharacteristic
236#2327C2211yescharacteristic
237#2327C2211yescharacteristic
238#2326C2211yescharacteristic
239#2326C2211yescharacteristic
240#2324C2214yes—
241#2324C2212yes—
242#2323C2214yes—
243#2323C2212yes—
244#2323C2214yes—
245#2323C2212yes—
246#2323C2212yes—
247#2323C2212yes—
248#2323C2212yes—
249#2322C2214yes—
250#2317C2211yescharacteristic
251#2311C2211yescharacteristic
252#2310C2211yescharacteristic
253C4×C4⋊Q8C2211yescharacteristic
254C4×C4⋊Q8C2211yescharacteristic
255C4×#124C2211yescharacteristic
256C4×#124C2214yes—
257C4×#124C2211yescharacteristic
258C4×C22⋊Q8C2214yes—
259C4×#123C2214yes—
260#2298C2214yes—
261#2295C2214yes—
262#2295C2212yes—
263#2293C2214yes—
264#2293C2212yes—
265#2293C2212yes—
266#2283C2211yescharacteristic
267C42×Q8C2212yes—
268C4×#117C2211yescharacteristic
269C22×#41C2311yescharacteristic
270C22×#41C2312yes—
271C23×Q8C2311yescharacteristic
272C23×Q8C2312yes—
273#557—28no—
274#557—28no—
275#557—28no—
276#557—216no—
277#556—28no—
278#556—216no—
279#554—28no—
280#554—28no—
281#553—216no—
282#552—216no—
283#552—216no—
284#552—232no—
285#552—216no—
286#552—232no—
287D4×Q8—28no—
288D4×Q8—216no—
289#548—216no—
290#547—28no—
291#547—216no—
292#541—232no—
293#541—216no—
294#541—216no—
295#539—232no—
296#536—28no—
297#533—216no—
298#533D4116yescomplemented
299C2×C4⋊Q8C2311yescharacteristic
300C2×C4⋊Q8C2311yescharacteristic
301C2×C4⋊Q8C2312yes—
302C2×C4⋊Q8C2314yes—
303C2×C4⋊Q8C2312yes—
304C2×C4⋊Q8C2312yes—
305C2×C4⋊Q8C2312yes—
306C2×C4⋊Q8C2311yescharacteristic
307C2×C4⋊Q8C2311yescharacteristic
308#529—216no—
309#529—216no—
310#529—28no—
311#529—28no—
312C2×#126C2312yes—
313C2×#126C2314yes—
314C2×#126C2314yes—
315C2×#126C2312yes—
316C2×#126C2314yes—
317C2×#126C2314yes—
318C2×#126C2314yes—
319C2×#126C2314yes—
320C2×#126C2314yes—
321C2×#125—216no—
322C2×#125C2314yes—
323C2×#125C2314yes—
324C2×#125C2311yescharacteristic
325C2×#125C2311yescharacteristic
326C2×#125C2314yes—
327C2×#125C2312yes—
328C2×#125C2314yes—
329C2×#125C2312yes—
330C2×#125C2312yes—
331C2×#125C2314yes—
332C2×#125C2314yes—
333C2×#125C2314yes—
334C2×#125C2312yes—
335C2×#125C2312yes—
336C2×#125C2314yes—
337C2×#125C2314yes—
338C2×#125C2312yes—
339C2×#124C2311yescharacteristic
340C2×#124C2311yescharacteristic
341C2×#124C2314yes—
342C2×#124C2311yescharacteristic
343C2×#124C2312yes—
344C2×#124C2311yescharacteristic
345C2×#123C2314yes—
346C2×#123C2312yes—
347C2×#123C2312yes—
348C2×#123C2314yes—
349C2×#123C2314yes—
350C2×#123C2314yes—
351C2×#123C2314yes—
352C2×#123C2314yes—
353C2×C22⋊Q8C2312yes—
354C2×C22⋊Q8C2314yes—
355C2×C22⋊Q8C2314yes—
356C2×C22⋊Q8C2311yescharacteristic
357C2×C22⋊Q8C2311yescharacteristic
358C2×C22⋊Q8C2312yes—
359C2×C22⋊Q8C2312yes—
360C2×C22⋊Q8C2312yes—
361C2×C22⋊Q8C2312yes—
362C2×C22⋊Q8C2314yes—
363C2×C22⋊Q8C2312yes—
364C2×C22⋊Q8C2314yes—
365C2×C22⋊Q8C2314yes—
366C2×C22⋊Q8C2314yes—
367C2×C22⋊Q8C2314yes—
368C2×C22⋊Q8C2312yes—
369C2×C22⋊Q8C2312yes—
370C2×C22⋊Q8C2312yes—
371C2×C22⋊Q8C2312yes—
372C2×#121C2312yes—
373C2×#121C2314yes—
374C2×#121C2311yescharacteristic
375C2×#121C2311yescharacteristic
376C2×#121C2312yes—
377C2×#121C2314yes—
378#520—216no—
379#519—216no—
380C4×#41—28no—
381C2×C4×Q8—28no—
382C2×C4×Q8C2311yescharacteristic
383C2×C4×Q8C2311yescharacteristic
384C2×C4×Q8C2311yescharacteristic
385C2×C4×Q8C2312yes—
386C2×C4×Q8C2312yes—
387C2×C4×Q8C2314yes—
388C2×C4×Q8C2311yescharacteristic
389C2×C4×Q8C2311yescharacteristic
390C2×C4×Q8C2311yescharacteristic
391C2×C4×Q8C2311yescharacteristic
392C2×C4×Q8C2311yescharacteristic
393C2×C4×Q8C2312yes—
394C2×C4×Q8C2312yes—
395C2×C4×Q8C2314yes—
396C2×C4×Q8C2312yes—
397C2×C4×Q8C2312yes—
398C2×C4×Q8C2312yes—
399C2×C4×Q8C2312yes—
400C2×C4×Q8C2312yes—
401C2×C4×Q8C2312yes—
402C2×C4×Q8C2312yes—
403C2×C4×Q8C2312yes—
404C2×C4×Q8C2312yes—
405C2×C4×D4C2314yes—
406C2×C4×D4C2312yes—
407C2×C4×D4C2311yescharacteristic
408C2×C4×D4C2311yescharacteristic
409C2×C4×D4C2312yes—
410C2×C4×D4C2314yes—
411C2×C4×D4C2314yes—
412C2×C4×D4C2312yes—
413C2×C4×D4C2312yes—
414C2×C4×D4C2312yes—
415C2×C4×D4C2312yes—
416C2×C4×D4C2311yescharacteristic
417C2×C4×D4C2311yescharacteristic
418C2×C4×D4C2314yes—
419C2×C4×D4C2312yes—
420C2×C4×D4C2312yes—
421C2×C4×D4C2312yes—
422C2×#117C2311yescharacteristic
423C2×#117C2311yescharacteristic
424C2×#117C2312yes—
425C2×#117C2312yes—
426C2×#117C2312yes—
427C2×#117C2314yes—
428C2×#117C2314yes—
429C2×#117C2312yes—
430C2×#117C2314yes—
431C2×#117C2314yes—
432C2×#117C2314yes—
433C2×#117C2311yescharacteristic
434C2×#117C2312yes—
435C22×C4⋊C4C2311yescharacteristic
436C22×C4⋊C4C2312yes—
437C22×C4⋊C4C2314yes—
438C22×C4⋊C4C2312yes—
439C22×C4⋊C4C2314yes—
440C22×C4⋊C4C2312yes—
441C22×C4⋊C4C2312yes—
442C22×C42C2312yes—
443C22×C42C2312yes—
444C22×C42C2311yescharacteristic
445#400C2314yes—
446#400C2314yes—
447#400C2312yes—
448#400C2312yes—
449#400C2312yes—
450#400C2314yes—
451#400C2314yes—
452#400C2314yes—
453#400C2314yes—
454#400C2312yes—
455#400C2312yes—
456#400C2314yes—
457#400C2314yes—
458#399C2312yes—
459#399C2314yes—
460#399C2314yes—
461#399C2314yes—
462#399C2314yes—
463#399C2312yes—
464#399C2312yes—
465#399C2314yes—
466#399C2314yes—
467#398C2312yes—
468#398C2312yes—
469#398C2314yes—
470#398C2314yes—
471#398C2314yes—
472#398C2314yes—
473#398C2314yes—
474#398C2312yes—
475#398C2314yes—
476#398C2314yes—
477#398C2312yes—
478#398C2312yes—
479#398C2312yes—
480#398C2312yes—
481#398C2314yes—
482#398C2314yes—
483#398C2314yes—
484#398C2314yes—
485#398C2314yes—
486#398C2314yes—
487#397C2314yes—
488#397C2314yes—
489#397C2312yes—
490#397C2314yes—
491#397C2314yes—
492#397C2312yes—
493#397C2312yes—
494#397C2312yes—
495#397C2312yes—
496#397C2314yes—
497#397C2314yes—
498#396C2314yes—
499#396C2314yes—
500#396C2314yes—
501#396C2314yes—
502#396C2312yes—
503#396C2312yes—
504#396C2312yes—
505#396C2312yes—
506#396C2314yes—
507#396C2314yes—
508#396C2314yes—
509#396C2314yes—
510#395C2312yes—
511#395C2312yes—
512#395C2312yes—
513#395C2314yes—
514#395C2314yes—
515#395C2314yes—
516#395C2314yes—
517#395C2312yes—
518#395C2312yes—
519#394C2314yes—
520#394C2314yes—
521#394C2312yes—
522#394C2312yes—
523#394C2314yes—
524#394C2314yes—
525#394C2314yes—
526#394C2314yes—
527#394C2314yes—
528#394C2312yes—
529#394C2312yes—
530#394C2312yes—
531#394C2312yes—
532#394C2312yes—
533#394C2312yes—
534#394C2312yes—
535#394C2312yes—
536#394C2312yes—
537#393C2312yes—
538#393C2314yes—
539#393C2314yes—
540#393C2312yes—
541#393C2312yes—
542#392C2314yes—
543#392C2314yes—
544#392C2312yes—
545#392C2312yes—
546#392C2312yes—
547#392C2312yes—
548#392C2312yes—
549#391C2311yescharacteristic
550#391C2311yescharacteristic
551#391C2311yescharacteristic
552#391C2311yescharacteristic
553#391C2314yes—
554#391C2311yescharacteristic
555#391C2311yescharacteristic
556#391C2312yes—
557#391C2312yes—
558#391C2312yes—
559#391C2312yes—
560#391C2312yes—
561#391C2314yes—
562#391C2314yes—
563#391C2314yes—
564#391C2314yes—
565#390C2311yescharacteristic
566#390C2311yescharacteristic
567#390C2314yes—
568#390C2312yes—
569#390C2312yes—
570#390C2314yes—
571#390C2314yes—
572#390C2312yes—
573#390C2314yes—
574#390C2314yes—
575#390C2312yes—
576#390C2314yes—
577#390C2312yes—
578#389C2314yes—
579#389C2314yes—
580#389C2314yes—
581#389C2314yes—
582#389C2312yes—
583#389C2312yes—
584#389C2312yes—
585#389C2312yes—
586#389C2314yes—
587#389C2314yes—
588#389C2312yes—
589#389C2312yes—
590#389C2314yes—
591#389C2314yes—
592#389C2314yes—
593#389C2312yes—
594#389C2314yes—
595#389C2312yes—
596#389C2314yes—
597#389C2314yes—
598#389C2314yes—
599#389C2314yes—
600#389C2314yes—
601#389C2314yes—
602#389C2314yes—
603#389C2314yes—
604#389C2314yes—
605#389C2314yes—
606#389C2312yes—
607#389C2314yes—
608#389C2312yes—
609#388C2312yes—
610#388C2314yes—
611#388C2314yes—
612#388C2314yes—
613#388C2314yes—
614#388C2314yes—
615#388C2314yes—
616#388C2314yes—
617#388C2314yes—
618#388C2314yes—
619#388C2314yes—
620#388C2314yes—
621#388C2314yes—
622#388C2314yes—
623#388C2314yes—
624#388C2314yes—
625#388C2314yes—
626#388C2314yes—
627#388C2314yes—
628#388C2314yes—
629#388C2314yes—
630#388C2314yes—
631#388C2312yes—
632#388C2314yes—
633#388C2314yes—
634#388C2314yes—
635#388C2314yes—
636#388C2314yes—
637#388C2314yes—
638#388C2314yes—
639#388C2314yes—
640#388C2312yes—
641#388C2314yes—
642#388C2312yes—
643#388C2314yes—
644#388C2312yes—
645#388C2312yes—
646#388C2312yes—
647#388C2312yes—
648#387C2314yes—
649#387C2314yes—
650#387C2314yes—
651#387C2314yes—
652#387C2314yes—
653#387C2314yes—
654#387C2314yes—
655#387C2314yes—
656#387C2314yes—
657#387C2314yes—
658#387C2314yes—
659#387C2314yes—
660#387C2314yes—
661#387C2314yes—
662#387C2314yes—
663#387C2314yes—
664#387C2314yes—
665#387C2314yes—
666#387C2314yes—
667#387C2314yes—
668#387C2314yes—
669#387C2314yes—
670#387C2314yes—
671#387C2314yes—
672#387C2314yes—
673#387C2314yes—
674#387C2314yes—
675#387C2314yes—
676#387C2314yes—
677#387C2314yes—
678#387C2314yes—
679#386C2314yes—
680#386C2314yes—
681#386C2314yes—
682#386C2314yes—
683#386C2314yes—
684#386C2314yes—
685#386C2314yes—
686#386C2314yes—
687#386C2314yes—
688#386C2314yes—
689#386C2314yes—
690#386C2314yes—
691#385C2314yes—
692#385C2314yes—
693#385C2314yes—
694#385C2314yes—
695#385C2314yes—
696#385C2314yes—
697#385C2314yes—
698#385C2314yes—
699#385C2314yes—
700#385C2314yes—
701#385C2314yes—
702#385C2314yes—
703#385C2314yes—
704#385C2314yes—
705#385C2314yes—
706#385C2314yes—
707#385C2314yes—
708#385C2314yes—
709#384C2311yescharacteristic
710#384C2311yescharacteristic
711#384C2314yes—
712#384C2314yes—
713#383C2312yes—
714#382C2311yescharacteristic
715#382C2311yescharacteristic
716#382C2311yescharacteristic
717#382C2311yescharacteristic
718#382C2314yes—
719#382C2314yes—
720#382C2314yes—
721#381C2314yes—
722#381C2312yes—
723#380C2314yes—
724#380C2314yes—
725#380C2314yes—
726#380C2314yes—
727#380C2314yes—
728#380C2312yes—
729#380C2312yes—
730#380C2314yes—
731#380C2312yes—
732#380C2312yes—
733#380C2312yes—
734#380C2314yes—
735C4×C4⋊C4C2314yes—
736C4×C4⋊C4C2314yes—
737C4×C4⋊C4C2314yes—
738C4×C4⋊C4C2312yes—
739C4×C4⋊C4C2312yes—
740C4×C4⋊C4C2314yes—
741C4×C4⋊C4C2312yes—
742C4×C4⋊C4C2312yes—
743C4×C4⋊C4C2314yes—
744C4×C4⋊C4C2314yes—
745C4×C4⋊C4C2312yes—
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2314yes—
748C4×C4⋊C4C2312yes—
749C4×C22⋊C4C2312yes—
750C4×C22⋊C4C2312yes—
751C4×C22⋊C4C2312yes—
752C4×C22⋊C4C2312yes—
753C4×C22⋊C4C2314yes—
754C4×C22⋊C4C2312yes—
755C4×C22⋊C4C2314yes—
756C4×C22⋊C4C2314yes—
757C4×C22⋊C4C2314yes—
758C4×C22⋊C4C2314yes—
759C4×C22⋊C4C2314yes—
760C4×C22⋊C4C2314yes—
761C4×C22⋊C4C2312yes—
762C4×C22⋊C4C2312yes—
763C4×C22⋊C4C2314yes—
764#376C2311yescharacteristic
765#376C2311yescharacteristic
766#376C2314yes—
767#376C2312yes—
768C43C2311yescharacteristic
769C43C2311yescharacteristic
770C43C2314yes—
771C2×#41—28no—
772C2×#41—24no—
773C2×#41—28no—
774C2×#41—24no—
775C2×#41—42no—
776C2×#41—44no—
777C22×Q8—28no—
778C22×Q8—24no—
779C22×Q8—28no—
780C22×Q8—24no—
781C22×Q8—42no—
782C22×Q8—44no—
783C22×Q8C2411yescharacteristic
784C22×Q8C2411yescharacteristic
785C22×Q8C2412yes—
786C22×Q8C2414yes—
787C22×Q8C2412yes—
788C22×Q8C2411yescharacteristic
789C22×Q8C2411yescharacteristic
790C22×Q8C2411yescharacteristic
791C22×Q8C2412yes—
792C22×D4C2414yes—
793C22×D4C2412yes—
794C22×D4C2411yescharacteristic
795C22×D4C2411yescharacteristic
796C22×D4C2412yes—
797C22×D4C2411yescharacteristic
798C22×D4C2412yes—
799C22×D4C2414yes—
800C22×D4C2412yes—
801C22×D4C2412yes—
802C23×C4C2412yes—
803C23×C4C2412yes—
804C23×C4C2414yes—
805C23×C4C2412yes—
806C23×C4C2412yes—
807C23×C4C2414yes—
808C23×C4C2411yescharacteristic
809C23×C4C2414yes—
810C23×C4C2412yes—
811C23×C4C2412yes—
812C23×C4C2412yes—
813C23×C4C2414yes—
814C23×C4C2411yescharacteristic
815C23×C4C2411yescharacteristic
816C4⋊Q8—28no—
817C4⋊Q8—28no—
818C4⋊Q8—28no—
819C4⋊Q8—24no—
820C4⋊Q8—28no—
821C4⋊Q8—216no—
822C4⋊Q8—24no—
823C4⋊Q8C2×D418yes—
824C4⋊Q8C2×D418yes—
825#126—216no—
826#126—216no—
827#126—216no—
828#126—216no—
829#126—216no—
830#126—28no—
831#126—28no—
832#126—216no—
833#126—216no—
834#125—216no—
835#125—216no—
836#125—28no—
837#125—28no—
838#125—28no—
839#125—216no—
840#125—216no—
841#125—28no—
842#125—216no—
843#125—216no—
844#125—216no—
845#125—28no—
846#125—24no—
847#125—24no—
848#125—216no—
849#125—216no—
850#125C2×D4116yes—
851#124—28no—
852#124—24no—
853#124—216no—
854#124—24no—
855#124—24no—
856#124#4118yes—
857#123—28no—
858#123—28no—
859#123—216no—
860#123—216no—
861#123—216no—
862#123—216no—
863#123—216no—
864#123—216no—
865C22⋊Q8—216no—
866C22⋊Q8—216no—
867C22⋊Q8—28no—
868C22⋊Q8—28no—
869C22⋊Q8—28no—
870C22⋊Q8—24no—
871C22⋊Q8—24no—
872C22⋊Q8—28no—
873C22⋊Q8—28no—
874C22⋊Q8—216no—
875C22⋊Q8—216no—
876C22⋊Q8—28no—
877C22⋊Q8—216no—
878C22⋊Q8—216no—
879C22⋊Q8—216no—
880C22⋊Q8—44no—
881C22⋊Q8—44no—
882C22⋊Q8C2×D4116yes—
883C22⋊Q8C2×D4116yes—
884#121—28no—
885#121—24no—
886#121—24no—
887#121—28no—
888#121—216no—
889#121—216no—
890C4×Q8—28no—
891C4×Q8—28no—
892C4×Q8—28no—
893C4×Q8—28no—
894C4×Q8—216no—
895C4×Q8—28no—
896C4×Q8—28no—
897C4×Q8—28no—
898C4×Q8—24no—
899C4×Q8—28no—
900C4×Q8—24no—
901C4×Q8—24no—
902C4×Q8—28no—
903C4×Q8—24no—
904C4×Q8—24no—
905C4×Q8—24no—
906C4×Q8—216no—
907C4×Q8—24no—
908C4×Q8—24no—
909C4×Q8—28no—
910C4×Q8—44no—
911C4×Q8C2×D4116yes—
912C4×Q8C2×D4116yes—
913C4×D4—28no—
914C4×D4—28no—
915C4×D4—28no—
916C4×D4—28no—
917C4×D4—216no—
918C4×D4—28no—
919C4×D4—28no—
920C4×D4—28no—
921C4×D4—216no—
922C4×D4—216no—
923C4×D4—24no—
924C4×D4—24no—
925C4×D4—216no—
926C4×D4—24no—
927C4×D4—24no—
928C4×D4—28no—
929C4×D4—44no—
930#117—24no—
931#117—216no—
932#117—28no—
933#117—216no—
934#117—216no—
935#117—28no—
936#117—28no—
937#117—216no—
938#117—28no—
939#117—216no—
940#117—24no—
941#117—42no—
942#117C2×D4116yes—
943C2×C4⋊C4—24no—
944C2×C4⋊C4—28no—
945C2×C4⋊C4—216no—
946C2×C4⋊C4—28no—
947C2×C4⋊C4—28no—
948C2×C4⋊C4—216no—
949C2×C4⋊C4—28no—
950C2×C4⋊C4C2411yescharacteristic
951C2×C4⋊C4C2414yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2411yescharacteristic
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2411yescharacteristic
956C2×C4⋊C4C2411yescharacteristic
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2414yes—
959C2×C4⋊C4C2411yescharacteristic
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2414yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2414yes—
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2411yescharacteristic
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2414yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2414yes—
980C2×C4⋊C4C2411yescharacteristic
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2411yescharacteristic
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2414yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2414yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2414yes—
993C2×C4⋊C4C2414yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2414yes—
996C2×C4⋊C4C2414yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2414yes—
1000C2×C4⋊C4C2414yes—
1001C2×C4⋊C4C2414yes—
1002C2×C4⋊C4C2414yes—
1003C2×C4⋊C4C2414yes—
1004C2×C4⋊C4C2414yes—
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2414yes—
1007C2×C4⋊C4C2414yes—
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2414yes—
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2414yes—
1013C2×C4⋊C4C2414yes—
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2414yes—
1016C2×C4⋊C4C2412yes—
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2414yes—
1019C2×C4⋊C4C2412yes—
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2412yes—
1022C2×C22⋊C4C2414yes—
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2414yes—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2414yes—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2414yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2414yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2414yes—
1059C2×C22⋊C4C2414yes—
1060C2×C22⋊C4C2414yes—
1061C2×C22⋊C4C2412yes—
1062C2×C22⋊C4C2412yes—
1063C2×C22⋊C4C2412yes—
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2414yes—
1066C2×C22⋊C4C2414yes—
1067C2×C22⋊C4C2414yes—
1068C2×C22⋊C4C2414yes—
1069C2×C42—28no—
1070C2×C42—28no—
1071C2×C42C2×D418yes—
1072C2×C42C2412yes—
1073C2×C42C2414yes—
1074C2×C42C2412yes—
1075C2×C42C2414yes—
1076C2×C42C2414yes—
1077C2×C42C2412yes—
1078C2×C42C2411yescharacteristic
1079C2×C42C2412yes—
1080C2×C42C2414yes—
1081C2×C42C2411yescharacteristic
1082C2×C42C2411yescharacteristic
1083C2×C42C2412yes—
1084C2×C42C2412yes—
1085C2×C42C2414yes—
1086C2×C42C2412yes—
1087C2×C42C2412yes—
1088C2×C42C2412yes—
1089C2×C42C2414yes—
1090C2×C42C2412yes—
1091C2×C42C2412yes—
1092C2×C42C2414yes—
1093C2×C42C2412yes—
1094C2×C42C2412yes—
1095C2×C42C2414yes—
1096C2×C42C2414yes—
1097C2×C42C2411yescharacteristic
1098C2×C42C2414yes—
1099C2×C42C2411yescharacteristic
1100C2×C42C2411yescharacteristic
1101C2×C42C2411yescharacteristic
1102C2×C42C2411yescharacteristic
1103#95C2412yes—
1104#95C2412yes—
1105#95C2412yes—
1106#95C2412yes—
1107#95C2414yes—
1108#95C2412yes—
1109#95C2412yes—
1110#95C2414yes—
1111#95C2414yes—
1112#95C2414yes—
1113#95C2414yes—
1114#95C2414yes—
1115#95C2412yes—
1116#95C2412yes—
1117#95C2414yes—
1118#95C2412yes—
1119#95C2412yes—
1120#95C2414yes—
1121#95C2414yes—
1122#95C2412yes—
1123#95C2414yes—
1124#95C2414yes—
1125#95C2414yes—
1126#95C2414yes—
1127#95C2412yes—
1128#95C2412yes—
1129#95C2412yes—
1130#95C2414yes—
1131#95C2412yes—
1132#95C2414yes—
1133#95C2412yes—
1134#95C2412yes—
1135#95C2414yes—
1136#95C2414yes—
1137#95C2414yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2414yes—
1141#95C2414yes—
1142#95C2414yes—
1143#95C2414yes—
1144#95C2414yes—
1145#95C2414yes—
1146#95C2412yes—
1147#95C2414yes—
1148#95C2414yes—
1149#95C2414yes—
1150#95C2414yes—
1151#95C2414yes—
1152#95C2414yes—
1153#95C2414yes—
1154#95C2414yes—
1155C24C2512yes—
1156C24C2512yes—
1157C24C2511yescharacteristic
1158C24C2512yes—
1159#41—416no—
1160#41—432no—
1161C2×Q8—22no—
1162C2×Q8—22no—
1163C2×Q8—22no—
1164C2×Q8—24no—
1165C2×Q8—28no—
1166C2×Q8—22no—
1167C2×Q8—22no—
1168C2×Q8—24no—
1169C2×Q8—24no—
1170C2×Q8—28no—
1171C2×Q8—22no—
1172C2×Q8—22no—
1173C2×Q8—24no—
1174C2×Q8—22no—
1175C2×Q8—22no—
1176C2×Q8—22no—
1177C2×Q8—44no—
1178C2×Q8—42no—
1179C2×Q8—44no—
1180C2×Q8—42no—
1181C2×Q8—42no—
1182C2×Q8—416no—
1183C2×Q8—432no—
1184C2×Q8C22×D418yes—
1185C2×Q8C22×D418yes—
1186C2×Q8C2×#4114yes—
1187C2×D4—24no—
1188C2×D4—24no—
1189C2×D4—28no—
1190C2×D4—24no—
1191C2×D4—24no—
1192C2×D4—28no—
1193C2×D4—22no—
1194C2×D4—22no—
1195C2×D4—22no—
1196C2×D4—28no—
1197C2×D4—24no—
1198C2×D4—22no—
1199C2×D4—42no—
1200C2×D4—42no—
1201C2×D4—42no—
1202C2×D4—42no—
1203C2×D4—44no—
1204C2×D4—42no—
1205C2×D4—42no—
1206C2×D4—42no—
1207C2×D4—42no—
1208C2×D4—44no—
1209C2×D4—42no—
1210C2×D4—44no—
1211C2×D4—42no—
1212C2×D4—42no—
1213C2×D4—42no—
1214C2×D4C2×#4114yes—
1215C22×C4—22no—
1216C22×C4—22no—
1217C22×C4—24no—
1218C22×C4—24no—
1219C22×C4—28no—
1220C22×C4—24no—
1221C22×C4—24no—
1222C22×C4—24no—
1223C22×C4—28no—
1224C22×C4—24no—
1225C22×C4—28no—
1226C22×C4—24no—
1227C22×C4—28no—
1228C22×C4—24no—
1229C22×C4—24no—
1230C22×C4—24no—
1231C22×C4—24no—
1232C22×C4—24no—
1233C22×C4—24no—
1234C22×C4—28no—
1235C22×C4—28no—
1236C22×C4—42no—
1237C22×C4—42no—
1238C22×C4—44no—
1239C22×C4—44no—
1240C22×C4—44no—
1241C22×C4—42no—
1242C22×C4—44no—
1243C22×C4—42no—
1244C22×C4—44no—
1245C22×C4—44no—
1246C22×C4—44no—
1247C22×C4—44no—
1248C22×C4—44no—
1249C22×C4C22×D414yes—
1250C22×C4C22×D414yes—
1251C22×C4C22×D414yes—
1252C22×C4C2514yes—
1253C22×C4C2512yes—
1254C22×C4C2512yes—
1255C22×C4C2512yes—
1256C22×C4C2514yes—
1257C22×C4C2512yes—
1258C22×C4C2512yes—
1259C22×C4C2512yes—
1260C22×C4C2512yes—
1261C22×C4C2512yes—
1262C22×C4C2512yes—
1263C22×C4C2512yes—
1264C22×C4C2512yes—
1265C22×C4C2512yes—
1266C22×C4C2512yes—
1267C22×C4C2512yes—
1268C22×C4C2512yes—
1269C22×C4C2511yescharacteristic
1270C22×C4C2511yescharacteristic
1271C22×C4C2511yescharacteristic
1272C22×C4C2514yes—
1273C22×C4C2514yes—
1274C22×C4C2511yescharacteristic
1275C22×C4C2511yescharacteristic
1276C22×C4C2512yes—
1277C22×C4C2512yes—
1278C22×C4C2511yescharacteristic
1279C4⋊C4—22no—
1280C4⋊C4—28no—
1281C4⋊C4—24no—
1282C4⋊C4—22no—
1283C4⋊C4—24no—
1284C4⋊C4—22no—
1285C4⋊C4—24no—
1286C4⋊C4—22no—
1287C4⋊C4—28no—
1288C4⋊C4—24no—
1289C4⋊C4—22no—
1290C4⋊C4—24no—
1291C4⋊C4—24no—
1292C4⋊C4—24no—
1293C4⋊C4—28no—
1294C4⋊C4—28no—
1295C4⋊C4—28no—
1296C4⋊C4—28no—
1297C4⋊C4—24no—
1298C4⋊C4—24no—
1299C4⋊C4—22no—
1300C4⋊C4—24no—
1301C4⋊C4—28no—
1302C4⋊C4—24no—
1303C4⋊C4—28no—
1304C4⋊C4—24no—
1305C4⋊C4—28no—
1306C4⋊C4—28no—
1307C4⋊C4—28no—
1308C4⋊C4—22no—
1309C4⋊C4—24no—
1310C4⋊C4—28no—
1311C4⋊C4—22no—
1312C4⋊C4—24no—
1313C4⋊C4—28no—
1314C4⋊C4—28no—
1315C4⋊C4—28no—
1316C4⋊C4—24no—
1317C4⋊C4—28no—
1318C4⋊C4—24no—
1319C4⋊C4—28no—
1320C4⋊C4—24no—
1321C4⋊C4—28no—
1322C4⋊C4—24no—
1323C4⋊C4—28no—
1324C4⋊C4—28no—
1325C4⋊C4—24no—
1326C4⋊C4—42no—
1327C4⋊C4—42no—
1328C4⋊C4—44no—
1329C4⋊C4—44no—
1330C4⋊C4—44no—
1331C4⋊C4—44no—
1332C4⋊C4—44no—
1333C4⋊C4—44no—
1334C4⋊C4—44no—
1335C4⋊C4—42no—
1336C4⋊C4—44no—
1337C4⋊C4—42no—
1338C4⋊C4—42no—
1339C4⋊C4—42no—
1340C4⋊C4—44no—
1341C4⋊C4—44no—
1342C4⋊C4—44no—
1343C4⋊C4C22×D418yes—
1344C4⋊C4C22×D4116yes—
1345C4⋊C4C22×D4116yes—
1346C4⋊C4C22×D418yes—
1347C4⋊C4C22×D418yes—
1348C4⋊C4C22×D418yes—
1349C22⋊C4—24no—
1350C22⋊C4—24no—
1351C22⋊C4—24no—
1352C22⋊C4—28no—
1353C22⋊C4—28no—
1354C22⋊C4—24no—
1355C22⋊C4—24no—
1356C22⋊C4—28no—
1357C22⋊C4—24no—
1358C22⋊C4—24no—
1359C22⋊C4—24no—
1360C22⋊C4—28no—
1361C22⋊C4—24no—
1362C22⋊C4—24no—
1363C22⋊C4—28no—
1364C22⋊C4—28no—
1365C22⋊C4—24no—
1366C22⋊C4—28no—
1367C22⋊C4—24no—
1368C22⋊C4—24no—
1369C22⋊C4—28no—
1370C22⋊C4—24no—
1371C22⋊C4—24no—
1372C22⋊C4—24no—
1373C22⋊C4—28no—
1374C22⋊C4—42no—
1375C22⋊C4—42no—
1376C22⋊C4—44no—
1377C22⋊C4—42no—
1378C22⋊C4—42no—
1379C22⋊C4—44no—
1380C22⋊C4—44no—
1381C22⋊C4—44no—
1382C22⋊C4—42no—
1383C22⋊C4—44no—
1384C22⋊C4—42no—
1385C22⋊C4—44no—
1386C22⋊C4—42no—
1387C22⋊C4—42no—
1388C22⋊C4—44no—
1389C22⋊C4—44no—
1390C22⋊C4—44no—
1391C22⋊C4—42no—
1392C22⋊C4—42no—
1393C22⋊C4—42no—
1394C22⋊C4—44no—
1395C22⋊C4—44no—
1396C22⋊C4C22×D4116yes—
1397C22⋊C4C2×#41116yes—
1398C42—24no—
1399C42—24no—
1400C42—24no—
1401C42—24no—
1402C42—24no—
1403C42—24no—
1404C42—24no—
1405C42—28no—
1406C42—28no—
1407C42—28no—
1408C42—24no—
1409C42—28no—
1410C42—24no—
1411C42—22no—
1412C42—28no—
1413C42—22no—
1414C42—22no—
1415C42—42no—
1416C42—42no—
1417C42—44no—
1418C42—42no—
1419C42—44no—
1420C42—42no—
1421C42—44no—
1422C42—44no—
1423C42C22×D414yes—
1424C42C22×D414yes—
1425C42C22×D414yes—
1426C42C22×D414yes—
1427C42C22×D4116yes—
1428C42C2×#4114yes—
1429C23—22no—
1430C23—21no—
1431C23—21no—
1432C23—22no—
1433C23—24no—
1434C23—22no—
1435C23—24no—
1436C23—22no—
1437C23—22no—
1438C23—22no—
1439C23—22no—
1440C23—22no—
1441C23—22no—
1442C23—22no—
1443C23—22no—
1444C23—22no—
1445C23—22no—
1446C23—22no—
1447C23—22no—
1448C23—22no—
1449C23—22no—
1450C23—22no—
1451C23C23×D412yes—
1452C23C22×#4114yes—
1453C23C2611yescharacteristic
1454Q8—28no—
1455Q8—216no—
1456Q8—48no—
1457Q8—48no—
1458Q8—416no—
1459Q8—44no—
1460Q8—44no—
1461Q8—44no—
1462Q8—44no—
1463D4—28no—
1464D4—416no—
1465D4—44no—
1466D4—44no—
1467D4—48no—
1468D4—48no—
1469D4—84no—
1470D4—84no—
1471D4—88no—
1472D4—84no—
1473C2×C4—22no—
1474C2×C4—24no—
1475C2×C4—21no—
1476C2×C4—24no—
1477C2×C4—21no—
1478C2×C4—22no—
1479C2×C4—22no—
1480C2×C4—22no—
1481C2×C4—22no—
1482C2×C4—22no—
1483C2×C4—24no—
1484C2×C4—24no—
1485C2×C4—22no—
1486C2×C4—22no—
1487C2×C4—28no—
1488C2×C4—22no—
1489C2×C4—22no—
1490C2×C4—22no—
1491C2×C4—22no—
1492C2×C4—22no—
1493C2×C4—22no—
1494C2×C4—22no—
1495C2×C4—22no—
1496C2×C4—22no—
1497C2×C4—22no—
1498C2×C4—22no—
1499C2×C4—22no—
1500C2×C4—22no—
1501C2×C4—24no—
1502C2×C4—22no—
1503C2×C4—22no—
1504C2×C4—22no—
1505C2×C4—22no—
1506C2×C4—22no—
1507C2×C4—22no—
1508C2×C4—24no—
1509C2×C4—22no—
1510C2×C4—22no—
1511C2×C4—22no—
1512C2×C4—22no—
1513C2×C4—22no—
1514C2×C4—22no—
1515C2×C4—24no—
1516C2×C4—22no—
1517C2×C4—22no—
1518C2×C4—24no—
1519C2×C4—24no—
1520C2×C4—22no—
1521C2×C4—24no—
1522C2×C4—22no—
1523C2×C4—22no—
1524C2×C4—22no—
1525C2×C4—24no—
1526C2×C4—24no—
1527C2×C4—22no—
1528C2×C4—24no—
1529C2×C4—22no—
1530C2×C4—24no—
1531C2×C4—22no—
1532C2×C4—22no—
1533C2×C4—22no—
1534C2×C4—22no—
1535C2×C4—44no—
1536C2×C4—44no—
1537C2×C4—416no—
1538C2×C4—48no—
1539C2×C4—48no—
1540C2×C4—416no—
1541C2×C4—48no—
1542C2×C4—48no—
1543C2×C4—48no—
1544C2×C4—48no—
1545C2×C4—84no—
1546C2×C4—88no—
1547C2×C4—88no—
1548C2×C4C23×D412yes—
1549C2×C4C23×D412yes—
1550C2×C4C23×D412yes—
1551C2×C4C23×D412yes—
1552C2×C4C23×D418yes—
1553C2×C4C23×D418yes—
1554C2×C4C23×D412yes—
1555C2×C4C23×D412yes—
1556C2×C4C22×#4114yes—
1557C2×C4C22×#4114yes—
1558C2×C4C22×#4112yes—
1559C2×C4#58512yes—
1560C22—22no—
1561C22—22no—
1562C22—28no—
1563C22—22no—
1564C22—24no—
1565C22—42no—
1566C22—42no—
1567C22—42no—
1568C22—42no—
1569C22—44no—
1570C22—42no—
1571C22—42no—
1572C22—42no—
1573C22—42no—
1574C22—42no—
1575C22—42no—
1576C22—42no—
1577C22—42no—
1578C22—42no—
1579C22—42no—
1580C22—42no—
1581C22—42no—
1582C22—42no—
1583C22—42no—
1584C22C24×D411yescharacteristic
1585C22C23×#4111yescharacteristic
1586C22C2×#58511yescharacteristic
1587C222−1+612yes—
1588C222−1+612yes—
1589C4—22no—
1590C4—22no—
1591C4—22no—
1592C4—22no—
1593C4—28no—
1594C4—24no—
1595C4—22no—
1596C4—24no—
1597C4—28no—
1598C4—42no—
1599C4—42no—
1600C4—42no—
1601C4—42no—
1602C4—42no—
1603C4—42no—
1604C4—42no—
1605C4—42no—
1606C4—42no—
1607C4—44no—
1608C4—42no—
1609C4—44no—
1610C4—42no—
1611C4—42no—
1612C4—42no—
1613C4—42no—
1614C4—42no—
1615C4D4×#4114yes—
1616C2—42no—
1617C2—44no—
1618C2—82no—
1619C2—82no—
1620C2C2×D4×#4111yescharacteristic
1621C2#6284811yescharacteristic
1622C2#6285911yescharacteristic
1623C2#6286112yes—
1624C2#6289012yes—
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×#3523C2semidirect
2. C2×#3515C2semidirect
3. #45416C2semidirect
4. #45412C2semidirect
5. #45336C2semidirect
6. #45335C2semidirect
7. #45334C2semidirect
8. #45332C2semidirect
9. #45267C2semidirect
10. #45264C2semidirect
11. #45143C2semidirect
12. #45142C2semidirect
13. #45139C2semidirect
14. #45138C2semidirect
15. #39955C2semidirect
16. #39946C2semidirect
17. #38436C2semidirect
18. #38431C2semidirect
19. #37831C2semidirect
20. #37821C2semidirect
21. #37741C2semidirect
22. #37719C2semidirect
23. #35671C2semidirect
24. #35625C2semidirect
25. #35245C2semidirect
26. #35210C2semidirect
27. #35209C2semidirect
28. #34643C2semidirect
29. #34312C2semidirect
30. C4×#536C2semidirect
31. #34085C2semidirect
298. #533D4semidirect

Maximal subgroups

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

subgroupindex
C2×#35232
C2×#35152
#454162
#454122
#453362
#453352
#453342
#453322
#452672
#452642
#451432
#451422
#451392
#451382
#399552
#399462
#384362
#384312
#378312
#378212
#377412
#377192
#356712
#356252
#352452
#352102
#352092
#346432
#343122
C4×#5362
#340852