Finite Group Databasebeta

← #7732849

Subgroups — #7732849

Order 512.

7076 conjugacy classes of subgroups.

The subgroup lattice has 1783 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3494C211yesmaximal, characteristic, complemented
2C2×#3459C211yesmaximal, characteristic, complemented
3#48774C214yesmaximal, complemented
4#47826C214yesmaximal, complemented
5#46820C212yesmaximal, complemented
6#46817C212yesmaximal, complemented
7#46816C212yesmaximal, complemented
8#46813C212yesmaximal, complemented
9#43502C214yesmaximal, complemented
10#43500C214yesmaximal, complemented
11#38920C212yesmaximal, complemented
12#38914C212yesmaximal, complemented
13#38050C212yesmaximal, complemented
14#38049C212yesmaximal, complemented
15#37846C212yesmaximal, complemented
16#37839C212yesmaximal, complemented
17#37820C214yesmaximal, complemented
18#37741C214yesmaximal, complemented
19#37437C211yesmaximal, characteristic, complemented
20#37279C212yesmaximal, complemented
21#37269C212yesmaximal, complemented
22#36160C212yesmaximal, complemented
23#36157C212yesmaximal, complemented
24#35522C212yesmaximal, complemented
25#35516C212yesmaximal, complemented
26#35157C211yesmaximal, characteristic, complemented
27#35076C211yesmaximal, characteristic, complemented
28#34809C211yesmaximal, characteristic, complemented
29#34361C211yesmaximal, characteristic, complemented
30#3494—216no—
31C2×#555C2212yescomplemented
32C2×#553C2212yescomplemented
33C2×#553C2212yescomplemented
34C2×#551C2214yescomplemented
35C2×#547C2212yescomplemented
36C2×#546C2214yescomplemented
37#3459—216no—
38C2×#544C2211yescharacteristic, complemented
39C2×#543C2211yescharacteristic, complemented
40C2×#542C2212yescomplemented
41C2×#540C2212yes—
42C2×#539C2212yes—
43C2×#539C2212yescomplemented
44C2×#539C2211yescharacteristic, complemented
45C2×#539C2211yescharacteristic, complemented
46C2×#538C2212yes—
47C2×#538C2212yes—
48C2×#538C2212yescomplemented
49C2×#535C2211yescharacteristic, complemented
50C2×#534C2212yes—
51C2×#534C2211yescharacteristic, complemented
52C2×#532C2212yescomplemented
53C2×#529C2212yes—
54C2×#529C2212yescomplemented
55C2×#529C2212yescomplemented
56C2×#529C2212yescomplemented
57C2×#525C2211yescharacteristic
58C2×#525C2212yes—
59C2×#525C2211yescharacteristic
60C2×#525C2212yescomplemented
61C22×#121C2211yescharacteristic, complemented
62C2×#520C2211yescharacteristic, complemented
63C2×#518C2211yescharacteristic, complemented
64C22×C4×D4C2211yescharacteristic
65C22×C4×D4C2212yescomplemented
66C22×#117C2211yescharacteristic, complemented
67#2857C2212yescomplemented
68#2854C2212yescomplemented
69#2853C2214yescomplemented
70#2851C2212yescomplemented
71#2847C2212yes—
72#2847C2212yescomplemented
73#2847C2212yescomplemented
74#2816C2212yescomplemented
75#2815C2212yes—
76#2730C2214yescomplemented
77#2730C2214yescomplemented
78#2723C2214yescomplemented
79#2721C2214yescomplemented
80#2719C2214yescomplemented
81#2718C2214yescomplemented
82#2718C2214yescomplemented
83#2716C2214yescomplemented
84#2710C2214yescomplemented
85#2709C2214yescomplemented
86#2708C2214yescomplemented
87#2706C2214yescomplemented
88#2706C2214yescomplemented
89#2706C2214yescomplemented
90#2706C2214yescomplemented
91#2703C2214yescomplemented
92#2701C2214yescomplemented
93#2699C2214yescomplemented
94#2698C2214yescomplemented
95#2697C2214yescomplemented
96#2696C2214yescomplemented
97#2694C2214yescomplemented
98#2692C2214yescomplemented
99#2687C2214yescomplemented
100#2687C2214yescomplemented
101#2686C2214yescomplemented
102#2682C2214yescomplemented
103#2681C2214yes—
104#2680C2214yescomplemented
105#2679C2214yescomplemented
106#2678C2214yescomplemented
107#2678C2214yescomplemented
108#2677C2214yescomplemented
109#2674C2214yescomplemented
110#2674C2214yescomplemented
111#2671C2214yescomplemented
112#2671C2214yescomplemented
113#2669C2214yescomplemented
114#2668C2214yes—
115#2668C2214yescomplemented
116#2661C2214yescomplemented
117#2635C2214yescomplemented
118#2629C2212yescomplemented
119#2628C2212yescomplemented
120#2624C2212yescomplemented
121#2624C2212yescomplemented
122#2624C2212yescomplemented
123#2622C2214yescomplemented
124#2615C2212yescomplemented
125#2613C2214yescomplemented
126#2591C2212yescomplemented
127#2584C2212yescomplemented
128#2580C2212yescomplemented
129#2563C2212yescomplemented
130#2562C2212yescomplemented
131#2561C2212yescomplemented
132#2560C2214yescomplemented
133#2554C2214yescomplemented
134#2553C2214yescomplemented
135#2546C2212yescomplemented
136#2542C2214yescomplemented
137#2539C2212yes—
138#2539C2212yescomplemented
139#2539C2214yescomplemented
140#2538C2212yescomplemented
141#2537C2212yescomplemented
142#2535C2212yescomplemented
143#2521C2214yescomplemented
144#2519C2214yescomplemented
145#2512C2214yescomplemented
146#2500C2212yescomplemented
147#2500C2212yescomplemented
148#2499C2212yescomplemented
149#2499C2212yescomplemented
150#2491C2214yescomplemented
151#2489C2214yescomplemented
152#2488C2214yescomplemented
153#2487C2212yescomplemented
154#2487C2212yescomplemented
155#2487C2212yescomplemented
156#2486C2212yescomplemented
157#2486C2212yescomplemented
158#2486C2212yescomplemented
159#2485C2212yescomplemented
160#2485C2212yescomplemented
161#2485C2212yescomplemented
162#2485C2212yescomplemented
163#2485C2212yescomplemented
164#2485C2212yescomplemented
165#2485C2212yescomplemented
166#2485C2212yescomplemented
167#2484C2212yescomplemented
168#2483C2212yescomplemented
169#2482C2212yescomplemented
170#2481C2214yescomplemented
171#2480C2214yescomplemented
172#2479C2214yescomplemented
173#2475C2214yescomplemented
174#2472C2214yescomplemented
175#2472C2214yescomplemented
176#2472C2214yescomplemented
177#2468C2214yescomplemented
178#2467C2214yescomplemented
179#2467C2214yescomplemented
180#2466C2214yescomplemented
181#2464C2214yescomplemented
182#2463C2214yescomplemented
183#2461C2214yescomplemented
184#2460C2214yescomplemented
185#2459C2214yescomplemented
186#2459C2214yescomplemented
187#2457C2214yescomplemented
188#2457C2214yescomplemented
189#2456C2214yescomplemented
190#2455C2214yescomplemented
191#2444C2214yescomplemented
192#2432C2214yescomplemented
193#2430C2214yescomplemented
194#2424C2214yes—
195#2423C2214yescomplemented
196#2422C2214yescomplemented
197#2422C2214yescomplemented
198#2421C2214yescomplemented
199#2420C2214yes—
200#2420C2214yescomplemented
201#2419C2214yescomplemented
202#2419C2214yescomplemented
203#2418C2214yescomplemented
204#2418C2214yescomplemented
205#2418C2214yescomplemented
206#2418C2214yescomplemented
207#2416C2212yescomplemented
208#2416C2212yescomplemented
209#2414C2212yescomplemented
210#2414C2212yescomplemented
211#2414C2212yescomplemented
212#2414C2212yescomplemented
213#2414C2212yescomplemented
214#2414C2212yescomplemented
215#2410C2214yescomplemented
216#2408C2212yescomplemented
217#2408C2212yescomplemented
218#2408C2214yescomplemented
219#2407C2214yescomplemented
220#2405C2212yes—
221#2405C2212yescomplemented
222#2404C2214yescomplemented
223#2403C2212yes—
224#2395C2214yescomplemented
225#2375C2214yescomplemented
226#2374C2214yescomplemented
227#2364C2214yescomplemented
228#2363C2214yescomplemented
229#2358C2214yescomplemented
230#2354C2212yescomplemented
231#2354C2212yescomplemented
232#2352C2212yescomplemented
233#2352C2212yescomplemented
234#2352C2214yescomplemented
235#2333C2212yescomplemented
236#2333C2212yescomplemented
237#2332C2212yescomplemented
238#2332C2212yescomplemented
239#2324C2212yescomplemented
240#2324C2212yescomplemented
241#2321C2214yescomplemented
242#2317C2211yescharacteristic, complemented
243#2317C2211yescharacteristic, complemented
244#2317C2212yescomplemented
245#2316C2212yescomplemented
246#2314C2212yescomplemented
247#2311C2212yescomplemented
248#2311C2211yescharacteristic, complemented
249#2311C2211yescharacteristic, complemented
250C4×#123C2214yescomplemented
251C4×#121C2212yescomplemented
252C4×#121C2212yescomplemented
253#2296C2211yescharacteristic, complemented
254#2296C2211yescharacteristic, complemented
255#2280C2211yescharacteristic, complemented
256#2280C2211yescharacteristic, complemented
257#2280C2211yescharacteristic, complemented
258#2280C2211yescharacteristic, complemented
259#2280C2212yescomplemented
260C2×#380C2212yescomplemented
261C22×#41C2311yescharacteristic
262C22×#41C2314yes—
263C22×#41C2311yescharacteristic
264C23×D4C2311yescharacteristic
265C23×D4C2312yes—
266C23×D4C2311yescharacteristic
267C23×D4C2312yes—
268C24×C4C2311yescharacteristic
269C24×C4C2312yes—
270C24×C4C2311yescharacteristic
271#555—216no—
272#553—216no—
273#553—216no—
274#551—232no—
275#547—216no—
276#546—232no—
277#544—28no—
278#543—28no—
279#542—216no—
280#540—216no—
281#539—216no—
282#539—28no—
283#539—216no—
284#539—28no—
285#538—216no—
286#538—216no—
287#538—216no—
288#535—28no—
289#534—28no—
290#534—216no—
291#532—216no—
292C2×C4⋊Q8C2312yes—
293C2×C4⋊Q8C2312yes—
294C2×C4⋊Q8C2314yes—
295C2×#127C2312yes—
296#529—216no—
297#529—216no—
298#529—216no—
299#529—216no—
300C2×#126C2314yes—
301C2×#126C2312yes—
302C2×#126C2312yes—
303C2×#126C2312yes—
304C2×#126C2312yes—
305C2×#126C2312yes—
306C2×#126C2312yes—
307C2×#126C2314yes—
308C2×#125C2312yes—
309C2×#125C2312yes—
310C2×#125C2312yes—
311C2×#125C2312yes—
312C2×#125C2312yes—
313C2×#124C2312yes—
314C2×#124C2312yes—
315C2×#124C2312yes—
316C2×#124C2312yes—
317C2×#124C2314yes—
318C2×#124C2314yes—
319#525—216no—
320#525—28no—
321#525—216no—
322#525D4116yescomplemented
323C2×#123C2312yes—
324C2×#123C2312yes—
325C2×#123C2312yes—
326C2×#123C2312yes—
327C2×#123C2312yes—
328C2×#123C2312yes—
329C2×#123C2312yes—
330C2×#123C2312yes—
331C2×#123C2312yes—
332C2×#123C2312yes—
333C2×#123C2312yes—
334C2×#123C2314yes—
335C2×#123C2314yes—
336C2×#123C2314yes—
337C2×#123C2314yes—
338C2×#123C2314yes—
339C2×#123C2314yes—
340C2×#123C2314yes—
341C2×#123C2314yes—
342C2×#123C2312yes—
343C2×C22⋊Q8C2312yes—
344C2×C22⋊Q8C2311yescharacteristic
345C2×C22⋊Q8C2311yescharacteristic
346C2×C22⋊Q8C2312yes—
347C2×C22⋊Q8C2312yes—
348C2×C22⋊Q8C2312yes—
349C2×C22⋊Q8C2312yes—
350C2×C22⋊Q8C2312yes—
351C2×C22⋊Q8C2312yes—
352C2×C22⋊Q8C2314yes—
353C2×C22⋊Q8C2314yes—
354C2×C22⋊Q8C2314yes—
355C2×C22⋊Q8C2314yes—
356C2×C22⋊Q8C2311yescharacteristic
357C2×C22⋊Q8C2311yescharacteristic
358C2×#121—28no—
359C2×#121C2312yes—
360C2×#121C2312yes—
361C2×#121C2312yes—
362C2×#121C2312yes—
363C2×#121C2312yes—
364C2×#121C2312yes—
365C2×#121C2312yes—
366C2×#121C2314yes—
367C2×#121C2314yes—
368C2×#121C2312yes—
369C2×#121C2312yes—
370C2×#121C2311yescharacteristic
371C2×#121C2311yescharacteristic
372C2×#121C2312yes—
373C2×#121C2312yes—
374C2×#121C2312yes—
375C2×#121C2314yes—
376C2×#121C2312yes—
377C2×#121C2312yes—
378C2×#121C2312yes—
379C2×#121C2312yes—
380C2×#121C2312yes—
381C2×#121C2314yes—
382C2×#121C2314yes—
383C2×#121C2314yes—
384C2×#121C2311yescharacteristic
385C2×#121C2311yescharacteristic
386C2×#120C2312yes—
387C2×#120C2312yes—
388C2×#120C2312yes—
389C2×#120C2312yes—
390C2×#120C2312yes—
391C2×#120C2314yes—
392C2×#120C2314yes—
393C2×#120C2314yes—
394C2×#120C2314yes—
395C2×#120C2314yes—
396C2×#120C2314yes—
397C2×#120C2312yes—
398#520—28no—
399#518—28no—
400C2×C4×Q8C2312yes—
401C2×C4×Q8C2312yes—
402C2×C4×D4—28no—
403C2×C4×D4—216no—
404C2×C4×D4C2312yes—
405C2×C4×D4C2312yes—
406C2×C4×D4C2312yes—
407C2×C4×D4C2312yes—
408C2×C4×D4C2314yes—
409C2×C4×D4C2312yes—
410C2×C4×D4C2312yes—
411C2×C4×D4C2312yes—
412C2×C4×D4C2312yes—
413C2×C4×D4C2312yes—
414C2×C4×D4C2312yes—
415C2×C4×D4C2312yes—
416C2×C4×D4C2312yes—
417C2×C4×D4C2312yes—
418C2×C4×D4C2312yes—
419C2×C4×D4C2312yes—
420C2×C4×D4C2312yes—
421C2×C4×D4C2314yes—
422C2×C4×D4C2312yes—
423C2×C4×D4C2312yes—
424C2×C4×D4C2314yes—
425C2×C4×D4C2314yes—
426C2×C4×D4C2314yes—
427C2×C4×D4C2312yes—
428C2×C4×D4C2312yes—
429C2×#117—28no—
430C2×#117C2312yes—
431C2×#117C2312yes—
432C2×#117C2311yescharacteristic
433C2×#117C2312yes—
434C2×#117C2314yes—
435C2×#117C2312yes—
436C2×#117C2311yescharacteristic
437C2×#117C2311yescharacteristic
438C2×#117C2312yes—
439C2×#117C2311yescharacteristic
440C2×#117C2311yescharacteristic
441C2×#117C2311yescharacteristic
442C2×#117C2312yes—
443C2×#117C2311yescharacteristic
444C2×#117C2311yescharacteristic
445C2×#117C2311yescharacteristic
446C2×#117C2311yescharacteristic
447C22×C4⋊C4C2311yescharacteristic
448C22×C4⋊C4C2311yescharacteristic
449C22×C4⋊C4C2312yes—
450C22×C4⋊C4C2311yescharacteristic
451C22×C4⋊C4C2312yes—
452C22×C4⋊C4C2311yescharacteristic
453C22×C4⋊C4C2312yes—
454C22×C22⋊C4C2312yes—
455C22×C22⋊C4C2312yes—
456C22×C22⋊C4C2312yes—
457C22×C22⋊C4C2311yescharacteristic
458C22×C22⋊C4C2311yescharacteristic
459C22×C22⋊C4C2312yes—
460C22×C22⋊C4C2314yes—
461C22×C22⋊C4C2314yes—
462C22×C42C2312yes—
463C22×C42C2312yes—
464C22×C42C2311yescharacteristic
465#400C2314yes—
466#400C2314yes—
467#400C2314yes—
468#400C2314yes—
469#400C2314yes—
470#399C2314yes—
471#399C2314yes—
472#399C2314yes—
473#399C2314yes—
474#399C2314yes—
475#399C2314yes—
476#399C2314yes—
477#399C2314yes—
478#398C2314yes—
479#398C2314yes—
480#398C2314yes—
481#398C2314yes—
482#398C2314yes—
483#398C2314yes—
484#398C2314yes—
485#398C2314yes—
486#397C2314yes—
487#397C2314yes—
488#397C2314yes—
489#397C2314yes—
490#397C2314yes—
491#397C2314yes—
492#397C2314yes—
493#397C2314yes—
494#397C2314yes—
495#397C2314yes—
496#397C2314yes—
497#397C2314yes—
498#397C2314yes—
499#397C2314yes—
500#397C2314yes—
501#396C2314yes—
502#396C2314yes—
503#396C2314yes—
504#396C2314yes—
505#396C2314yes—
506#396C2314yes—
507#395C2314yes—
508#395C2314yes—
509#394C2314yes—
510#394C2314yes—
511#394C2314yes—
512#394C2314yes—
513#394C2314yes—
514#394C2314yes—
515#394C2314yes—
516#394C2314yes—
517#394C2314yes—
518#394C2314yes—
519#394C2314yes—
520#394C2314yes—
521#394C2314yes—
522#394C2314yes—
523#394C2314yes—
524#394C2314yes—
525#394C2314yes—
526#394C2314yes—
527#394C2314yes—
528#394C2314yes—
529#394C2314yes—
530#394C2314yes—
531#394C2314yes—
532#394C2314yes—
533#394C2314yes—
534#394C2314yes—
535#394C2314yes—
536#393C2314yes—
537#393C2314yes—
538#393C2314yes—
539#393C2314yes—
540#393C2314yes—
541#392C2314yes—
542#392C2314yes—
543#392C2314yes—
544#392C2314yes—
545#392C2314yes—
546#392C2314yes—
547#392C2314yes—
548#392C2314yes—
549#392C2314yes—
550#392C2314yes—
551#392C2314yes—
552#392C2314yes—
553#391C2312yes—
554#391C2314yes—
555#391C2312yes—
556#391C2314yes—
557#391C2314yes—
558#390C2314yes—
559#390C2314yes—
560#390C2314yes—
561#390C2312yes—
562#390C2312yes—
563#390C2314yes—
564#390C2312yes—
565#390C2312yes—
566#390C2314yes—
567#390C2314yes—
568#390C2312yes—
569#390C2314yes—
570#390C2314yes—
571#390C2314yes—
572#390C2314yes—
573#390C2314yes—
574#390C2312yes—
575#390C2314yes—
576#389C2312yes—
577#389C2312yes—
578#389C2312yes—
579#389C2312yes—
580#389C2314yes—
581#389C2314yes—
582#389C2312yes—
583#389C2312yes—
584#389C2312yes—
585#389C2312yes—
586#389C2312yes—
587#389C2312yes—
588#389C2312yes—
589#389C2314yes—
590#389C2314yes—
591#389C2314yes—
592#389C2312yes—
593#388C2314yes—
594#388C2314yes—
595#388C2314yes—
596#388C2314yes—
597#388C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2314yes—
601#388C2314yes—
602#388C2314yes—
603#388C2314yes—
604#388C2314yes—
605#388C2314yes—
606#388C2314yes—
607#388C2314yes—
608#388C2314yes—
609#388C2314yes—
610#388C2314yes—
611#388C2314yes—
612#388C2314yes—
613#388C2314yes—
614#388C2314yes—
615#388C2314yes—
616#388C2314yes—
617#388C2314yes—
618#388C2314yes—
619#388C2314yes—
620#388C2314yes—
621#388C2314yes—
622#388C2314yes—
623#387C2314yes—
624#387C2314yes—
625#387C2314yes—
626#387C2314yes—
627#387C2314yes—
628#387C2314yes—
629#387C2314yes—
630#387C2314yes—
631#387C2314yes—
632#387C2314yes—
633#387C2314yes—
634#387C2314yes—
635#387C2314yes—
636#387C2314yes—
637#386C2314yes—
638#386C2314yes—
639#386C2314yes—
640#386C2314yes—
641#386C2314yes—
642#386C2314yes—
643#386C2314yes—
644#386C2314yes—
645#386C2314yes—
646#386C2314yes—
647#386C2314yes—
648#386C2314yes—
649#386C2314yes—
650#386C2314yes—
651#386C2314yes—
652#386C2314yes—
653#386C2314yes—
654#386C2314yes—
655#386C2314yes—
656#386C2314yes—
657#386C2314yes—
658#386C2314yes—
659#386C2314yes—
660#386C2314yes—
661#386C2314yes—
662#386C2314yes—
663#386C2314yes—
664#385C2314yes—
665#385C2314yes—
666#385C2314yes—
667#385C2314yes—
668#385C2314yes—
669#385C2314yes—
670#385C2314yes—
671#385C2314yes—
672#385C2314yes—
673#385C2314yes—
674#385C2314yes—
675#385C2314yes—
676#385C2312yes—
677#385C2312yes—
678#385C2312yes—
679#385C2312yes—
680#385C2314yes—
681#384C2312yes—
682#384C2312yes—
683#384C2314yes—
684#384C2312yes—
685#382C2314yes—
686#382C2312yes—
687#382C2314yes—
688#382C2312yes—
689#382C2312yes—
690#381C2312yes—
691#381C2314yes—
692#381C2312yes—
693#381C2314yes—
694#381C2314yes—
695#381C2312yes—
696#381C2314yes—
697#381C2312yes—
698#380C2312yes—
699#380C2312yes—
700#380C2312yes—
701#380C2312yes—
702#380C2312yes—
703#380C2312yes—
704#380C2312yes—
705#380C2312yes—
706#380C2312yes—
707#380C2312yes—
708#380C2312yes—
709#380C2312yes—
710#380C2312yes—
711#380C2312yes—
712#380C2314yes—
713#380C2314yes—
714#380C2312yes—
715#380C2314yes—
716#380C2312yes—
717#380C2314yes—
718#380C2314yes—
719#380C2314yes—
720#380C2314yes—
721#380C2312yes—
722#380C2312yes—
723#379C2314yes—
724#379C2314yes—
725#379C2312yes—
726#379C2312yes—
727#379C2312yes—
728#379C2312yes—
729#379C2314yes—
730C4×C4⋊C4C2314yes—
731C4×C4⋊C4C2312yes—
732C4×C4⋊C4C2312yes—
733C4×C4⋊C4C2314yes—
734C4×C4⋊C4C2314yes—
735C4×C4⋊C4C2314yes—
736C4×C22⋊C4C2314yes—
737C4×C22⋊C4C2312yes—
738C4×C22⋊C4C2312yes—
739C4×C22⋊C4C2312yes—
740C4×C22⋊C4C2312yes—
741C4×C22⋊C4C2314yes—
742C4×C22⋊C4C2314yes—
743C4×C22⋊C4C2314yes—
744C4×C22⋊C4C2314yes—
745C4×C22⋊C4C2314yes—
746C4×C22⋊C4C2314yes—
747C4×C22⋊C4C2314yes—
748C2×#95C2314yes—
749C25C2411yescharacteristic
750C25C2412yes—
751C25C2412yes—
752C25C2411yescharacteristic
753C2×#41—216no—
754C2×#41—24no—
755C2×#41—42no—
756C2×#41—42no—
757C2×#41—42no—
758C2×#41—42no—
759C2×#41—84no—
760C2×#41—84no—
761C2×#41C2×D418yes—
762C22×Q8C2412yes—
763C22×Q8C2411yescharacteristic
764C22×Q8C2414yes—
765C22×Q8C2411yescharacteristic
766C22×D4—24no—
767C22×D4—28no—
768C22×D4—28no—
769C22×D4—24no—
770C22×D4—42no—
771C22×D4—42no—
772C22×D4—44no—
773C22×D4—44no—
774C22×D4—44no—
775C22×D4—84no—
776C22×D4C2412yes—
777C22×D4C2412yes—
778C22×D4C2412yes—
779C22×D4C2412yes—
780C22×D4C2412yes—
781C22×D4C2412yes—
782C22×D4C2412yes—
783C22×D4C2412yes—
784C22×D4C2414yes—
785C22×D4C2414yes—
786C22×D4C2412yes—
787C22×D4C2414yes—
788C22×D4C2414yes—
789C22×D4C2414yes—
790C22×D4C2412yes—
791C22×D4C2411yescharacteristic
792C22×D4C2414yes—
793C22×D4C2414yes—
794C22×D4C2414yes—
795C22×D4C2412yes—
796C22×D4C2411yescharacteristic
797C22×D4C2412yes—
798C22×D4C2412yes—
799C23×C4—24no—
800C23×C4—28no—
801C23×C4—42no—
802C23×C4—42no—
803C23×C4—44no—
804C23×C4—42no—
805C23×C4—42no—
806C23×C4—44no—
807C23×C4C2×D418yes—
808C23×C4C2412yes—
809C23×C4C2412yes—
810C23×C4C2412yes—
811C23×C4C2412yes—
812C23×C4C2411yescharacteristic
813C23×C4C2411yescharacteristic
814C23×C4C2411yescharacteristic
815C23×C4C2412yes—
816C23×C4C2411yescharacteristic
817C23×C4C2412yes—
818C23×C4C2411yescharacteristic
819C23×C4C2414yes—
820C23×C4C2412yes—
821C23×C4C2412yes—
822C23×C4C2412yes—
823C23×C4C2412yes—
824C23×C4C2414yes—
825C23×C4C2414yes—
826C23×C4C2411yescharacteristic
827C23×C4C2412yes—
828C23×C4C2412yes—
829C23×C4C2414yes—
830C23×C4C2411yescharacteristic
831C23×C4C2411yescharacteristic
832C23×C4C2411yescharacteristic
833C4⋊Q8—28no—
834C4⋊Q8—28no—
835C4⋊Q8—84no—
836#127—28no—
837#126—28no—
838#126—28no—
839#126—216no—
840#126—216no—
841#126—28no—
842#126—28no—
843#126—28no—
844#126—28no—
845#125—28no—
846#125—28no—
847#125—28no—
848#125—28no—
849#125—28no—
850#124—28no—
851#124—28no—
852#124—28no—
853#124—28no—
854#124—216no—
855#124—216no—
856#123—28no—
857#123—28no—
858#123—28no—
859#123—28no—
860#123—28no—
861#123—28no—
862#123—28no—
863#123—28no—
864#123—28no—
865#123—28no—
866#123—28no—
867#123—216no—
868#123—216no—
869#123—216no—
870#123—216no—
871#123—48no—
872#123—84no—
873#123—84no—
874#123—84no—
875#123C2×D4116yes—
876C22⋊Q8—28no—
877C22⋊Q8—28no—
878C22⋊Q8—24no—
879C22⋊Q8—24no—
880C22⋊Q8—28no—
881C22⋊Q8—28no—
882C22⋊Q8—28no—
883C22⋊Q8—216no—
884C22⋊Q8—28no—
885C22⋊Q8—28no—
886C22⋊Q8—216no—
887C22⋊Q8—84no—
888C22⋊Q8—84no—
889C22⋊Q8C2×D418yes—
890C22⋊Q8C2×D418yes—
891#121—28no—
892#121—28no—
893#121—28no—
894#121—28no—
895#121—28no—
896#121—216no—
897#121—216no—
898#121—216no—
899#121—28no—
900#121—28no—
901#121—28no—
902#121—28no—
903#121—24no—
904#121—24no—
905#121—28no—
906#121—28no—
907#121—28no—
908#121—28no—
909#121—48no—
910#121—48no—
911#121—44no—
912#121—44no—
913#121—44no—
914#121—44no—
915#121—84no—
916#121C2×D418yes—
917#121C2×D418yes—
918#120—28no—
919#120—28no—
920#120—28no—
921#120—28no—
922#120—216no—
923#120—28no—
924#120—48no—
925#120—48no—
926#120—84no—
927#120—84no—
928#120—84no—
929#120C2×D4116yes—
930C4×Q8—28no—
931C4×Q8—28no—
932C4×D4—28no—
933C4×D4—28no—
934C4×D4—216no—
935C4×D4—28no—
936C4×D4—28no—
937C4×D4—28no—
938C4×D4—28no—
939C4×D4—28no—
940C4×D4—28no—
941C4×D4—28no—
942C4×D4—28no—
943C4×D4—28no—
944C4×D4—28no—
945C4×D4—28no—
946C4×D4—28no—
947C4×D4—28no—
948C4×D4—216no—
949C4×D4—216no—
950C4×D4—28no—
951C4×D4—28no—
952C4×D4—28no—
953C4×D4—48no—
954C4×D4—84no—
955C4×D4C2×D4116yes—
956C4×D4C2×D4116yes—
957#117—24no—
958#117—24no—
959#117—28no—
960#117—28no—
961#117—24no—
962#117—24no—
963#117—28no—
964#117—24no—
965#117—28no—
966#117—216no—
967#117—28no—
968#117—42no—
969#117—42no—
970#117—42no—
971#117—42no—
972#117—44no—
973#117C2×D418yes—
974C2×C4⋊C4—24no—
975C2×C4⋊C4—24no—
976C2×C4⋊C4—24no—
977C2×C4⋊C4—24no—
978C2×C4⋊C4—28no—
979C2×C4⋊C4—28no—
980C2×C4⋊C4—44no—
981C2×C4⋊C4C2411yescharacteristic
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2411yescharacteristic
984C2×C4⋊C4C2411yescharacteristic
985C2×C4⋊C4C2411yescharacteristic
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2414yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2411yescharacteristic
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2411yescharacteristic
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2414yes—
1006C2×C4⋊C4C2414yes—
1007C2×C4⋊C4C2414yes—
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2414yes—
1014C2×C4⋊C4C2414yes—
1015C2×C4⋊C4C2414yes—
1016C2×C4⋊C4C2414yes—
1017C2×C4⋊C4C2414yes—
1018C2×C4⋊C4C2414yes—
1019C2×C4⋊C4C2414yes—
1020C2×C4⋊C4C2414yes—
1021C2×C4⋊C4C2414yes—
1022C2×C4⋊C4C2414yes—
1023C2×C4⋊C4C2414yes—
1024C2×C4⋊C4C2414yes—
1025C2×C4⋊C4C2414yes—
1026C2×C4⋊C4C2414yes—
1027C2×C4⋊C4C2414yes—
1028C2×C4⋊C4C2412yes—
1029C2×C4⋊C4C2411yescharacteristic
1030C2×C4⋊C4C2411yescharacteristic
1031C2×C4⋊C4C2412yes—
1032C2×C22⋊C4—28no—
1033C2×C22⋊C4—24no—
1034C2×C22⋊C4—24no—
1035C2×C22⋊C4—28no—
1036C2×C22⋊C4—28no—
1037C2×C22⋊C4—28no—
1038C2×C22⋊C4—216no—
1039C2×C22⋊C4—84no—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2414yes—
1058C2×C22⋊C4C2414yes—
1059C2×C22⋊C4C2414yes—
1060C2×C22⋊C4C2412yes—
1061C2×C22⋊C4C2412yes—
1062C2×C22⋊C4C2412yes—
1063C2×C22⋊C4C2412yes—
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2414yes—
1070C2×C22⋊C4C2414yes—
1071C2×C22⋊C4C2414yes—
1072C2×C22⋊C4C2414yes—
1073C2×C22⋊C4C2414yes—
1074C2×C22⋊C4C2414yes—
1075C2×C22⋊C4C2414yes—
1076C2×C22⋊C4C2412yes—
1077C2×C22⋊C4C2412yes—
1078C2×C22⋊C4C2412yes—
1079C2×C22⋊C4C2412yes—
1080C2×C22⋊C4C2414yes—
1081C2×C22⋊C4C2414yes—
1082C2×C22⋊C4C2414yes—
1083C2×C22⋊C4C2414yes—
1084C2×C22⋊C4C2414yes—
1085C2×C22⋊C4C2414yes—
1086C2×C22⋊C4C2414yes—
1087C2×C22⋊C4C2414yes—
1088C2×C22⋊C4C2414yes—
1089C2×C22⋊C4C2414yes—
1090C2×C22⋊C4C2414yes—
1091C2×C22⋊C4C2414yes—
1092C2×C22⋊C4C2414yes—
1093C2×C22⋊C4C2414yes—
1094C2×C22⋊C4C2414yes—
1095C2×C22⋊C4C2414yes—
1096C2×C22⋊C4C2414yes—
1097C2×C22⋊C4C2414yes—
1098C2×C22⋊C4C2414yes—
1099C2×C22⋊C4C2414yes—
1100C2×C22⋊C4C2414yes—
1101C2×C22⋊C4C2414yes—
1102C2×C22⋊C4C2414yes—
1103C2×C22⋊C4C2414yes—
1104C2×C22⋊C4C2414yes—
1105C2×C22⋊C4C2412yes—
1106C2×C22⋊C4C2412yes—
1107C2×C22⋊C4C2412yes—
1108C2×C22⋊C4C2412yes—
1109C2×C22⋊C4C2412yes—
1110C2×C42—28no—
1111C2×C42—24no—
1112C2×C42—28no—
1113C2×C42C2412yes—
1114C2×C42C2412yes—
1115C2×C42C2412yes—
1116C2×C42C2412yes—
1117C2×C42C2414yes—
1118C2×C42C2412yes—
1119C2×C42C2412yes—
1120C2×C42C2412yes—
1121C2×C42C2412yes—
1122C2×C42C2412yes—
1123C2×C42C2412yes—
1124C2×C42C2412yes—
1125C2×C42C2412yes—
1126C2×C42C2414yes—
1127C2×C42C2412yes—
1128C2×C42C2414yes—
1129C2×C42C2414yes—
1130C2×C42C2412yes—
1131#95C2414yes—
1132#95C2414yes—
1133#95C2414yes—
1134#95C2414yes—
1135#95C2414yes—
1136#95C2414yes—
1137#95C2414yes—
1138#95C2414yes—
1139#95C2414yes—
1140#95C2414yes—
1141#95C2414yes—
1142#95C2414yes—
1143#95C2414yes—
1144#95C2414yes—
1145#95C2414yes—
1146#95C2414yes—
1147#95C2414yes—
1148#95C2414yes—
1149#95C2414yes—
1150#95C2414yes—
1151#95C2414yes—
1152#95C2414yes—
1153#95C2414yes—
1154#95C2414yes—
1155#95C2414yes—
1156#95C2414yes—
1157#95C2414yes—
1158#95C2414yes—
1159#95C2414yes—
1160#95C2414yes—
1161#95C2414yes—
1162#95C2414yes—
1163#95C2414yes—
1164#95C2414yes—
1165C24—22no—
1166C24—24no—
1167C24—24no—
1168C24—24no—
1169C24—24no—
1170C24—42no—
1171C24—41no—
1172C24—41no—
1173C24—42no—
1174C24—42no—
1175C24—42no—
1176C24—42no—
1177C24—42no—
1178C24—42no—
1179C24—42no—
1180C24—42no—
1181C24—41no—
1182C24—41no—
1183C24—42no—
1184C24—44no—
1185C24—44no—
1186C24C22×D414yes—
1187C24C2514yes—
1188C24C2512yes—
1189C24C2511yescharacteristic
1190C24C2511yescharacteristic
1191C24C2511yescharacteristic
1192C24C2512yes—
1193C24C2512yes—
1194#41—416no—
1195#41—88no—
1196#41—832no—
1197C2×Q8—24no—
1198C2×Q8—22no—
1199C2×Q8—28no—
1200C2×Q8—41no—
1201C2×Q8—41no—
1202C2×Q8—42no—
1203C2×Q8—44no—
1204C2×Q8—42no—
1205C2×Q8—44no—
1206C2×Q8—41no—
1207C2×Q8—41no—
1208C2×Q8C22×D414yes—
1209C2×D4—24no—
1210C2×D4—24no—
1211C2×D4—24no—
1212C2×D4—24no—
1213C2×D4—28no—
1214C2×D4—24no—
1215C2×D4—24no—
1216C2×D4—24no—
1217C2×D4—24no—
1218C2×D4—24no—
1219C2×D4—24no—
1220C2×D4—28no—
1221C2×D4—24no—
1222C2×D4—28no—
1223C2×D4—28no—
1224C2×D4—28no—
1225C2×D4—28no—
1226C2×D4—24no—
1227C2×D4—24no—
1228C2×D4—24no—
1229C2×D4—22no—
1230C2×D4—24no—
1231C2×D4—24no—
1232C2×D4—42no—
1233C2×D4—42no—
1234C2×D4—42no—
1235C2×D4—42no—
1236C2×D4—42no—
1237C2×D4—42no—
1238C2×D4—42no—
1239C2×D4—42no—
1240C2×D4—42no—
1241C2×D4—42no—
1242C2×D4—44no—
1243C2×D4—44no—
1244C2×D4—42no—
1245C2×D4—42no—
1246C2×D4—41no—
1247C2×D4—41no—
1248C2×D4—42no—
1249C2×D4—42no—
1250C2×D4—416no—
1251C2×D4—44no—
1252C2×D4—44no—
1253C2×D4—44no—
1254C2×D4—42no—
1255C2×D4—44no—
1256C2×D4—44no—
1257C2×D4—44no—
1258C2×D4—44no—
1259C2×D4—44no—
1260C2×D4—42no—
1261C2×D4—44no—
1262C2×D4—42no—
1263C2×D4—42no—
1264C2×D4—44no—
1265C2×D4—41no—
1266C2×D4—41no—
1267C2×D4—42no—
1268C2×D4—42no—
1269C2×D4—44no—
1270C2×D4—44no—
1271C2×D4—44no—
1272C2×D4—44no—
1273C2×D4—44no—
1274C2×D4—44no—
1275C2×D4—432no—
1276C2×D4—416no—
1277C2×D4—816no—
1278C2×D4C22×D418yes—
1279C2×D4C22×D414yes—
1280C2×D4C22×D418yes—
1281C2×D4C22×D418yes—
1282C22×C4—24no—
1283C22×C4—22no—
1284C22×C4—22no—
1285C22×C4—22no—
1286C22×C4—22no—
1287C22×C4—24no—
1288C22×C4—22no—
1289C22×C4—22no—
1290C22×C4—24no—
1291C22×C4—22no—
1292C22×C4—24no—
1293C22×C4—22no—
1294C22×C4—24no—
1295C22×C4—22no—
1296C22×C4—24no—
1297C22×C4—28no—
1298C22×C4—24no—
1299C22×C4—24no—
1300C22×C4—24no—
1301C22×C4—24no—
1302C22×C4—24no—
1303C22×C4—24no—
1304C22×C4—24no—
1305C22×C4—24no—
1306C22×C4—24no—
1307C22×C4—24no—
1308C22×C4—24no—
1309C22×C4—28no—
1310C22×C4—28no—
1311C22×C4—24no—
1312C22×C4—416no—
1313C22×C4—41no—
1314C22×C4—41no—
1315C22×C4—41no—
1316C22×C4—41no—
1317C22×C4—41no—
1318C22×C4—41no—
1319C22×C4—42no—
1320C22×C4—42no—
1321C22×C4—44no—
1322C22×C4—44no—
1323C22×C4—44no—
1324C22×C4—42no—
1325C22×C4—44no—
1326C22×C4—44no—
1327C22×C4—42no—
1328C22×C4—44no—
1329C22×C4—44no—
1330C22×C4—42no—
1331C22×C4—44no—
1332C22×C4—44no—
1333C22×C4—42no—
1334C22×C4—42no—
1335C22×C4—42no—
1336C22×C4—42no—
1337C22×C4—42no—
1338C22×C4—42no—
1339C22×C4—41no—
1340C22×C4—41no—
1341C22×C4—42no—
1342C22×C4—42no—
1343C22×C4—44no—
1344C22×C4—44no—
1345C22×C4—44no—
1346C22×C4—88no—
1347C22×C4—816no—
1348C22×C4C22×D414yes—
1349C22×C4C22×D414yes—
1350C22×C4C22×D414yes—
1351C22×C4C22×D418yes—
1352C22×C4C22×D414yes—
1353C22×C4C22×D414yes—
1354C22×C4C22×D414yes—
1355C22×C4C2514yes—
1356C22×C4C2514yes—
1357C22×C4C2512yes—
1358C22×C4C2512yes—
1359C22×C4C2514yes—
1360C22×C4C2514yes—
1361C22×C4C2512yes—
1362C22×C4C2512yes—
1363C22×C4C2512yes—
1364C22×C4C2512yes—
1365C22×C4C2512yes—
1366C22×C4C2512yes—
1367C22×C4C2514yes—
1368C22×C4C2512yes—
1369C22×C4C2512yes—
1370C22×C4C2511yescharacteristic
1371C22×C4C2511yescharacteristic
1372C22×C4C2511yescharacteristic
1373C22×C4C2512yes—
1374C22×C4C2512yes—
1375C22×C4C2512yes—
1376C22×C4C2511yescharacteristic
1377C4⋊C4—22no—
1378C4⋊C4—24no—
1379C4⋊C4—22no—
1380C4⋊C4—22no—
1381C4⋊C4—22no—
1382C4⋊C4—24no—
1383C4⋊C4—24no—
1384C4⋊C4—24no—
1385C4⋊C4—24no—
1386C4⋊C4—24no—
1387C4⋊C4—24no—
1388C4⋊C4—24no—
1389C4⋊C4—24no—
1390C4⋊C4—28no—
1391C4⋊C4—24no—
1392C4⋊C4—22no—
1393C4⋊C4—24no—
1394C4⋊C4—24no—
1395C4⋊C4—22no—
1396C4⋊C4—24no—
1397C4⋊C4—28no—
1398C4⋊C4—28no—
1399C4⋊C4—28no—
1400C4⋊C4—24no—
1401C4⋊C4—24no—
1402C4⋊C4—24no—
1403C4⋊C4—24no—
1404C4⋊C4—24no—
1405C4⋊C4—24no—
1406C4⋊C4—24no—
1407C4⋊C4—24no—
1408C4⋊C4—24no—
1409C4⋊C4—44no—
1410C4⋊C4—44no—
1411C4⋊C4—44no—
1412C4⋊C4—44no—
1413C4⋊C4—44no—
1414C4⋊C4—44no—
1415C4⋊C4—44no—
1416C4⋊C4—44no—
1417C4⋊C4—44no—
1418C4⋊C4—44no—
1419C4⋊C4—44no—
1420C4⋊C4—44no—
1421C4⋊C4—44no—
1422C4⋊C4—44no—
1423C4⋊C4—44no—
1424C4⋊C4C22×D418yes—
1425C4⋊C4C22×D414yes—
1426C4⋊C4C22×D414yes—
1427C4⋊C4C22×D418yes—
1428C22⋊C4—24no—
1429C22⋊C4—24no—
1430C22⋊C4—24no—
1431C22⋊C4—24no—
1432C22⋊C4—24no—
1433C22⋊C4—24no—
1434C22⋊C4—24no—
1435C22⋊C4—24no—
1436C22⋊C4—28no—
1437C22⋊C4—24no—
1438C22⋊C4—24no—
1439C22⋊C4—24no—
1440C22⋊C4—24no—
1441C22⋊C4—24no—
1442C22⋊C4—28no—
1443C22⋊C4—28no—
1444C22⋊C4—28no—
1445C22⋊C4—24no—
1446C22⋊C4—24no—
1447C22⋊C4—24no—
1448C22⋊C4—24no—
1449C22⋊C4—28no—
1450C22⋊C4—24no—
1451C22⋊C4—24no—
1452C22⋊C4—28no—
1453C22⋊C4—28no—
1454C22⋊C4—28no—
1455C22⋊C4—24no—
1456C22⋊C4—24no—
1457C22⋊C4—24no—
1458C22⋊C4—24no—
1459C22⋊C4—28no—
1460C22⋊C4—44no—
1461C22⋊C4—44no—
1462C22⋊C4—44no—
1463C22⋊C4—44no—
1464C22⋊C4—42no—
1465C22⋊C4—42no—
1466C22⋊C4—44no—
1467C22⋊C4—42no—
1468C22⋊C4—42no—
1469C22⋊C4—44no—
1470C22⋊C4—44no—
1471C22⋊C4—44no—
1472C22⋊C4—44no—
1473C22⋊C4—44no—
1474C22⋊C4—44no—
1475C22⋊C4—44no—
1476C22⋊C4—44no—
1477C22⋊C4—44no—
1478C22⋊C4—44no—
1479C22⋊C4—44no—
1480C22⋊C4—44no—
1481C22⋊C4—44no—
1482C22⋊C4—44no—
1483C22⋊C4—44no—
1484C22⋊C4—44no—
1485C22⋊C4—44no—
1486C22⋊C4—44no—
1487C22⋊C4—44no—
1488C22⋊C4—44no—
1489C22⋊C4—44no—
1490C22⋊C4—44no—
1491C22⋊C4—44no—
1492C22⋊C4—44no—
1493C22⋊C4C22×D418yes—
1494C22⋊C4C22×D418yes—
1495C22⋊C4C22×D418yes—
1496C22⋊C4C22×D418yes—
1497C22⋊C4C22×D418yes—
1498C42—24no—
1499C42—24no—
1500C42—24no—
1501C42—24no—
1502C42—24no—
1503C42—24no—
1504C42—24no—
1505C42—24no—
1506C42—24no—
1507C42—28no—
1508C42—42no—
1509C42—42no—
1510C42—42no—
1511C42—44no—
1512C42—42no—
1513C42—44no—
1514C42—44no—
1515C42C22×D418yes—
1516C23—28no—
1517C23—22no—
1518C23—21no—
1519C23—21no—
1520C23—21no—
1521C23—21no—
1522C23—22no—
1523C23—22no—
1524C23—22no—
1525C23—22no—
1526C23—22no—
1527C23—22no—
1528C23—22no—
1529C23—21no—
1530C23—21no—
1531C23—22no—
1532C23—22no—
1533C23—22no—
1534C23—22no—
1535C23—22no—
1536C23—22no—
1537C23—22no—
1538C23—22no—
1539C23—22no—
1540C23—22no—
1541C23—22no—
1542C23—24no—
1543C23—24no—
1544C23—24no—
1545C23—24no—
1546C23—22no—
1547C23—22no—
1548C23—24no—
1549C23—22no—
1550C23—22no—
1551C23—22no—
1552C23—24no—
1553C23—22no—
1554C23—24no—
1555C23—44no—
1556C23—44no—
1557C23—44no—
1558C23—48no—
1559C23—48no—
1560C23—48no—
1561C23—82no—
1562C23—84no—
1563C23—84no—
1564C23—82no—
1565C23—84no—
1566C23—84no—
1567C23—84no—
1568C23—84no—
1569C23—84no—
1570C23—84no—
1571C23—84no—
1572C23—84no—
1573C23—84no—
1574C23—164no—
1575C23—164no—
1576C23C23×D412yes—
1577C23C23×D412yes—
1578C23C23×D414yes—
1579C23C23×D412yes—
1580C23#58514yes—
1581C23C2611yescharacteristic
1582Q8—44no—
1583Q8—84no—
1584Q8—82no—
1585Q8—88no—
1586D4—48no—
1587D4—44no—
1588D4—48no—
1589D4—48no—
1590D4—48no—
1591D4—48no—
1592D4—48no—
1593D4—48no—
1594D4—48no—
1595D4—48no—
1596D4—416no—
1597D4—48no—
1598D4—82no—
1599D4—88no—
1600D4—84no—
1601D4—84no—
1602D4—88no—
1603D4—88no—
1604D4—88no—
1605D4—84no—
1606D4—88no—
1607D4—164no—
1608D4—164no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—22no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—22no—
1615C2×C4—22no—
1616C2×C4—22no—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—22no—
1620C2×C4—22no—
1621C2×C4—28no—
1622C2×C4—28no—
1623C2×C4—28no—
1624C2×C4—216no—
1625C2×C4—22no—
1626C2×C4—22no—
1627C2×C4—22no—
1628C2×C4—22no—
1629C2×C4—22no—
1630C2×C4—22no—
1631C2×C4—22no—
1632C2×C4—22no—
1633C2×C4—22no—
1634C2×C4—24no—
1635C2×C4—22no—
1636C2×C4—24no—
1637C2×C4—24no—
1638C2×C4—24no—
1639C2×C4—24no—
1640C2×C4—24no—
1641C2×C4—24no—
1642C2×C4—24no—
1643C2×C4—24no—
1644C2×C4—24no—
1645C2×C4—24no—
1646C2×C4—22no—
1647C2×C4—22no—
1648C2×C4—22no—
1649C2×C4—22no—
1650C2×C4—22no—
1651C2×C4—22no—
1652C2×C4—22no—
1653C2×C4—22no—
1654C2×C4—24no—
1655C2×C4—24no—
1656C2×C4—24no—
1657C2×C4—24no—
1658C2×C4—22no—
1659C2×C4—24no—
1660C2×C4—22no—
1661C2×C4—22no—
1662C2×C4—24no—
1663C2×C4—24no—
1664C2×C4—24no—
1665C2×C4—22no—
1666C2×C4—44no—
1667C2×C4—44no—
1668C2×C4—44no—
1669C2×C4—48no—
1670C2×C4—44no—
1671C2×C4—48no—
1672C2×C4—48no—
1673C2×C4—48no—
1674C2×C4—88no—
1675C2×C4—84no—
1676C2×C4—84no—
1677C2×C4—84no—
1678C2×C4—84no—
1679C2×C4—88no—
1680C2×C4—84no—
1681C2×C4—82no—
1682C2×C4—82no—
1683C2×C4—84no—
1684C2×C4—84no—
1685C2×C4—88no—
1686C2×C4—164no—
1687C2×C4C23×D412yes—
1688C2×C4C23×D412yes—
1689C2×C4C23×D414yes—
1690C2×C4C23×D414yes—
1691C2×C4C23×D414yes—
1692C2×C4C23×D412yes—
1693C2×C4C23×D412yes—
1694C2×C4#58512yes—
1695C2×C4#58512yes—
1696C22—22no—
1697C22—22no—
1698C22—22no—
1699C22—24no—
1700C22—22no—
1701C22—24no—
1702C22—22no—
1703C22—24no—
1704C22—22no—
1705C22—22no—
1706C22—24no—
1707C22—22no—
1708C22—22no—
1709C22—24no—
1710C22—24no—
1711C22—42no—
1712C22—42no—
1713C22—42no—
1714C22—42no—
1715C22—42no—
1716C22—42no—
1717C22—42no—
1718C22—42no—
1719C22—42no—
1720C22—42no—
1721C22—42no—
1722C22—42no—
1723C22—42no—
1724C22—42no—
1725C22—42no—
1726C22—44no—
1727C22—44no—
1728C22—42no—
1729C22—44no—
1730C22—42no—
1731C22—44no—
1732C22—42no—
1733C22—42no—
1734C22—44no—
1735C22—44no—
1736C22—42no—
1737C22—44no—
1738C22—42no—
1739C22—88no—
1740C22—88no—
1741C22—816no—
1742C22—168no—
1743C22C24×D411yescharacteristic
1744C22C2×#58511yescharacteristic
1745C22C2×#58511yescharacteristic
1746C22C2×#58512yes—
1747C22H(7,𝔽2)12yes—
1748C4—22no—
1749C4—22no—
1750C4—22no—
1751C4—24no—
1752C4—24no—
1753C4—24no—
1754C4—42no—
1755C4—42no—
1756C4—42no—
1757C4—42no—
1758C4—42no—
1759C4—42no—
1760C4—42no—
1761C4—42no—
1762C4—44no—
1763C4—42no—
1764C4—42no—
1765C4—44no—
1766C4—44no—
1767C4—44no—
1768C4—44no—
1769C4#348514yes—
1770C2—42no—
1771C2—44no—
1772C2—42no—
1773C2—44no—
1774C2—42no—
1775C2—82no—
1776C2—84no—
1777C2C2×#348511yescharacteristic
1778C2#6281111yescharacteristic
1779C2#6285211yescharacteristic
1780C2#6290812yes—
1781C2#6291012yes—
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×#3494C2semidirect
2. C2×#3459C2semidirect
3. #48774C2semidirect
4. #47826C2semidirect
5. #46820C2semidirect
6. #46817C2semidirect
7. #46816C2semidirect
8. #46813C2semidirect
9. #43502C2semidirect
10. #43500C2semidirect
11. #38920C2semidirect
12. #38914C2semidirect
13. #38050C2semidirect
14. #38049C2semidirect
15. #37846C2semidirect
16. #37839C2semidirect
17. #37820C2semidirect
18. #37741C2semidirect
19. #37437C2semidirect
20. #37279C2semidirect
21. #37269C2semidirect
22. #36160C2semidirect
23. #36157C2semidirect
24. #35522C2semidirect
25. #35516C2semidirect
26. #35157C2semidirect
27. #35076C2semidirect
28. #34809C2semidirect
29. #34361C2semidirect
31. C2×#555C22semidirect
32. C2×#553C22semidirect
33. C2×#553C22semidirect
34. C2×#551C22semidirect
35. C2×#547C22semidirect
36. C2×#546C22semidirect
38. C2×#544C22semidirect
39. C2×#543C22semidirect
40. C2×#542C22semidirect
43. C2×#539C22semidirect
44. C2×#539C22semidirect
45. C2×#539C22semidirect
48. C2×#538C22semidirect
49. C2×#535C22semidirect
51. C2×#534C22semidirect
52. C2×#532C22semidirect
54. C2×#529C22semidirect
55. C2×#529C22semidirect
56. C2×#529C22semidirect
60. C2×#525C22semidirect
61. C22×#121C22semidirect
62. C2×#520C22semidirect
63. C2×#518C22semidirect
65. C22×C4×D4C22semidirect
66. C22×#117C22semidirect
67. #2857C22semidirect
68. #2854C22semidirect
69. #2853C22semidirect
70. #2851C22semidirect
72. #2847C22semidirect
73. #2847C22semidirect
74. #2816C22semidirect
76. #2730C22semidirect
77. #2730C22semidirect
78. #2723C22semidirect
79. #2721C22semidirect
80. #2719C22semidirect
81. #2718C22semidirect
82. #2718C22semidirect
83. #2716C22semidirect
84. #2710C22semidirect
85. #2709C22semidirect
86. #2708C22semidirect
87. #2706C22semidirect
88. #2706C22semidirect
89. #2706C22semidirect
90. #2706C22semidirect
91. #2703C22semidirect
92. #2701C22semidirect
93. #2699C22semidirect
94. #2698C22semidirect
95. #2697C22semidirect
96. #2696C22semidirect
97. #2694C22semidirect
98. #2692C22semidirect
99. #2687C22semidirect
100. #2687C22semidirect
101. #2686C22semidirect
102. #2682C22semidirect
104. #2680C22semidirect
105. #2679C22semidirect
106. #2678C22semidirect
107. #2678C22semidirect
108. #2677C22semidirect
109. #2674C22semidirect
110. #2674C22semidirect
111. #2671C22semidirect
112. #2671C22semidirect
113. #2669C22semidirect
115. #2668C22semidirect
116. #2661C22semidirect
117. #2635C22semidirect
118. #2629C22semidirect
119. #2628C22semidirect
120. #2624C22semidirect
121. #2624C22semidirect
122. #2624C22semidirect
123. #2622C22semidirect
124. #2615C22semidirect
125. #2613C22semidirect
126. #2591C22semidirect
127. #2584C22semidirect
128. #2580C22semidirect
129. #2563C22semidirect
130. #2562C22semidirect
131. #2561C22semidirect
132. #2560C22semidirect
133. #2554C22semidirect
134. #2553C22semidirect
135. #2546C22semidirect
136. #2542C22semidirect
138. #2539C22semidirect
139. #2539C22semidirect
140. #2538C22semidirect
141. #2537C22semidirect
142. #2535C22semidirect
143. #2521C22semidirect
144. #2519C22semidirect
145. #2512C22semidirect
146. #2500C22semidirect
147. #2500C22semidirect
148. #2499C22semidirect
149. #2499C22semidirect
150. #2491C22semidirect
151. #2489C22semidirect
152. #2488C22semidirect
153. #2487C22semidirect
154. #2487C22semidirect
155. #2487C22semidirect
156. #2486C22semidirect
157. #2486C22semidirect
158. #2486C22semidirect
159. #2485C22semidirect
160. #2485C22semidirect
161. #2485C22semidirect
162. #2485C22semidirect
163. #2485C22semidirect
164. #2485C22semidirect
165. #2485C22semidirect
166. #2485C22semidirect
167. #2484C22semidirect
168. #2483C22semidirect
169. #2482C22semidirect
170. #2481C22semidirect
171. #2480C22semidirect
172. #2479C22semidirect
173. #2475C22semidirect
174. #2472C22semidirect
175. #2472C22semidirect
176. #2472C22semidirect
177. #2468C22semidirect
178. #2467C22semidirect
179. #2467C22semidirect
180. #2466C22semidirect
181. #2464C22semidirect
182. #2463C22semidirect
183. #2461C22semidirect
184. #2460C22semidirect
185. #2459C22semidirect
186. #2459C22semidirect
187. #2457C22semidirect
188. #2457C22semidirect
189. #2456C22semidirect
190. #2455C22semidirect
191. #2444C22semidirect
192. #2432C22semidirect
193. #2430C22semidirect
195. #2423C22semidirect
196. #2422C22semidirect
197. #2422C22semidirect
198. #2421C22semidirect
200. #2420C22semidirect
201. #2419C22semidirect
202. #2419C22semidirect
203. #2418C22semidirect
204. #2418C22semidirect
205. #2418C22semidirect
206. #2418C22semidirect
207. #2416C22semidirect
208. #2416C22semidirect
209. #2414C22semidirect
210. #2414C22semidirect
211. #2414C22semidirect
212. #2414C22semidirect
213. #2414C22semidirect
214. #2414C22semidirect
215. #2410C22semidirect
216. #2408C22semidirect
217. #2408C22semidirect
218. #2408C22semidirect
219. #2407C22semidirect
221. #2405C22semidirect
222. #2404C22semidirect
224. #2395C22semidirect
225. #2375C22semidirect
226. #2374C22semidirect
227. #2364C22semidirect
228. #2363C22semidirect
229. #2358C22semidirect
230. #2354C22semidirect
231. #2354C22semidirect
232. #2352C22semidirect
233. #2352C22semidirect
234. #2352C22semidirect
235. #2333C22semidirect
236. #2333C22semidirect
237. #2332C22semidirect
238. #2332C22semidirect
239. #2324C22semidirect
240. #2324C22semidirect
241. #2321C22semidirect
242. #2317C22semidirect
243. #2317C22semidirect
244. #2317C22semidirect
245. #2316C22semidirect
246. #2314C22semidirect
247. #2311C22semidirect
248. #2311C22semidirect
249. #2311C22semidirect
250. C4×#123C22semidirect
251. C4×#121C22semidirect
252. C4×#121C22semidirect
253. #2296C22semidirect
254. #2296C22semidirect
255. #2280C22semidirect
256. #2280C22semidirect
257. #2280C22semidirect
258. #2280C22semidirect
259. #2280C22semidirect
260. C2×#380C22semidirect
322. #525D4semidirect

Maximal subgroups

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

subgroupindex
C2×#34942
C2×#34592
#487742
#478262
#468202
#468172
#468162
#468132
#435022
#435002
#389202
#389142
#380502
#380492
#378462
#378392
#378202
#377412
#374372
#372792
#372692
#361602
#361572
#355222
#355162
#351572
#350762
#348092
#343612