Finite Group Databasebeta

← #7718384

Subgroups — #7718384

Order 512.

7188 conjugacy classes of subgroups.

The subgroup lattice has 1734 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3534C211yesmaximal, characteristic, complemented
2C22×#553C211yesmaximal, characteristic, complemented
3#50174C214yesmaximal, complemented
4#48825C214yesmaximal, complemented
5#48821C214yesmaximal, complemented
6#48784C214yesmaximal, complemented
7#44446C212yesmaximal, complemented
8#44082C212yesmaximal, complemented
9#43530C214yesmaximal, complemented
10#43526C214yesmaximal, complemented
11#43495C212yesmaximal, complemented
12#43491C212yesmaximal, complemented
13#38913C212yesmaximal, complemented
14#38901C212yesmaximal, complemented
15#38039C212yesmaximal, complemented
16#38036C212yesmaximal, complemented
17#38023C212yesmaximal, complemented
18#38020C212yesmaximal, complemented
19#37120C212yesmaximal, complemented
20#37117C212yesmaximal, complemented
21#36237C212yesmaximal, complemented
22#36236C212yesmaximal, complemented
23#35227C211yesmaximal, characteristic, complemented
24#35094C212yesmaximal, complemented
25#35063C211yesmaximal, characteristic, complemented
26#35062C211yesmaximal, characteristic, complemented
27#34983C212yesmaximal, complemented
28C2×#2623C211yesmaximal, characteristic, complemented
29#34358C211yesmaximal, characteristic, complemented
30#3534—216no—
31C2×#562C2212yescomplemented
32C2×#560C2212yescomplemented
33C2×#553—216no—
34C2×#553C2212yes—
35C2×#553C2212yescomplemented
36C2×#553C2214yescomplemented
37C2×#553C2212yescomplemented
38C2×#553C2212yescomplemented
39C2×#553C2214yescomplemented
40C2×#553C2212yescomplemented
41C2×#551C2212yes—
42C2×#546C2212yes—
43C2×#546C2212yes—
44C2×#546C2212yescomplemented
45C2×D42C2212yes—
46C2×#540C2212yescomplemented
47C2×#539C2212yes—
48C2×#539C2211yescharacteristic, complemented
49C2×#538C2211yescharacteristic, complemented
50C2×#538C2212yescomplemented
51C2×#537C2211yescharacteristic, complemented
52C2×#534C2212yes—
53C2×#534C2211yescharacteristic, complemented
54C22×#126C2212yescomplemented
55C22×#125C2211yescharacteristic, complemented
56C2×#525C2211yescharacteristic
57C22×#123C2211yescharacteristic
58C22×#123C2212yescomplemented
59C22×#121C2211yescharacteristic
60C22×#121C2212yescomplemented
61C22×#121C2211yescharacteristic, complemented
62C22×C4×D4C2212yescomplemented
63C22×C4×D4C2211yescharacteristic, complemented
64C22×C4×D4C2211yescharacteristic, complemented
65C22×#117C2211yescharacteristic, complemented
66C23×C4⋊C4C2211yescharacteristic, complemented
67#2855C2212yescomplemented
68#2854C2212yes—
69#2853C2212yescomplemented
70#2853C2212yescomplemented
71#2849C2212yes—
72#2849C2212yescomplemented
73#2849C2212yescomplemented
74#2849C2212yescomplemented
75#2849C2212yescomplemented
76#2849C2212yescomplemented
77#2722C2214yescomplemented
78#2721C2214yescomplemented
79#2721C2214yescomplemented
80#2719C2214yescomplemented
81#2719C2214yescomplemented
82#2718C2214yescomplemented
83#2718C2214yescomplemented
84#2718C2214yescomplemented
85#2715C2214yescomplemented
86#2710C2214yescomplemented
87#2710C2214yescomplemented
88#2708C2214yescomplemented
89#2708C2214yescomplemented
90#2706C2214yescomplemented
91#2706C2214yescomplemented
92#2703C2214yescomplemented
93#2703C2214yescomplemented
94#2701C2214yescomplemented
95#2699C2214yescomplemented
96#2698C2214yescomplemented
97#2695C2214yescomplemented
98#2694C2214yescomplemented
99#2694C2214yescomplemented
100#2691C2214yescomplemented
101#2690C2214yescomplemented
102#2690C2214yescomplemented
103#2689C2214yescomplemented
104#2688C2214yescomplemented
105#2688C2214yescomplemented
106#2688C2214yescomplemented
107#2686C2214yescomplemented
108#2685C2214yescomplemented
109#2682C2214yescomplemented
110#2678C2214yescomplemented
111#2673C2214yescomplemented
112#2671C2214yescomplemented
113#2671C2214yescomplemented
114#2671C2214yescomplemented
115#2668C2214yescomplemented
116#2668C2214yescomplemented
117#2638C2212yescomplemented
118#2635C2212yescomplemented
119#2630C2214yescomplemented
120#2626C2212yescomplemented
121#2623C2212yescomplemented
122#2623C2212yescomplemented
123#2623C2212yescomplemented
124#2623C2212yescomplemented
125#2623C2214yescomplemented
126#2623C2212yescomplemented
127#2623C2214yescomplemented
128#2623C2212yescomplemented
129#2622C2212yes—
130#2622C2212yescomplemented
131#2617C2212yes—
132#2602C2214yescomplemented
133#2600C2214yescomplemented
134#2591C2212yes—
135#2583C2212yescomplemented
136#2579C2212yescomplemented
137#2579C2212yescomplemented
138#2579C2212yescomplemented
139#2564C2212yescomplemented
140#2559C2214yescomplemented
141#2553C2214yescomplemented
142#2543C2214yescomplemented
143#2543C2212yescomplemented
144#2539C2214yescomplemented
145#2534C2212yescomplemented
146#2521C2214yescomplemented
147#2504C2212yes—
148#2504C2212yescomplemented
149#2503C2212yescomplemented
150#2502C2212yescomplemented
151#2502C2212yescomplemented
152#2501C2214yescomplemented
153#2501C2212yescomplemented
154#2496C2214yescomplemented
155#2488C2214yescomplemented
156#2488C2214yescomplemented
157#2487C2212yescomplemented
158#2487C2212yescomplemented
159#2487C2214yescomplemented
160#2486C2214yescomplemented
161#2484C2211yescharacteristic, complemented
162#2483C2212yescomplemented
163#2483C2211yescharacteristic, complemented
164#2482C2211yescharacteristic, complemented
165#2480C2214yescomplemented
166#2479C2214yescomplemented
167#2479C2214yescomplemented
168#2478C2214yescomplemented
169#2477C2214yescomplemented
170#2477C2214yescomplemented
171#2475C2214yescomplemented
172#2475C2214yescomplemented
173#2471C2214yescomplemented
174#2471C2214yescomplemented
175#2468C2214yescomplemented
176#2466C2214yescomplemented
177#2447C2214yescomplemented
178#2445C2214yescomplemented
179#2444C2214yescomplemented
180#2444C2214yescomplemented
181#2444C2214yescomplemented
182#2444C2214yescomplemented
183#2444C2214yescomplemented
184#2443C2214yescomplemented
185#2443C2214yescomplemented
186#2443C2214yescomplemented
187#2443C2214yescomplemented
188#2443C2214yescomplemented
189#2430C2214yescomplemented
190#2425C2214yescomplemented
191#2425C2214yescomplemented
192#2425C2214yescomplemented
193#2424C2214yescomplemented
194#2422C2214yescomplemented
195#2420C2214yescomplemented
196#2419C2214yescomplemented
197#2419C2214yescomplemented
198#2419C2214yescomplemented
199#2419C2214yescomplemented
200#2418C2214yescomplemented
201#2418C2214yescomplemented
202#2418C2214yescomplemented
203#2418C2214yescomplemented
204#2416C2214yescomplemented
205#2413C2212yescomplemented
206#2413C2214yescomplemented
207#2412C2212yes—
208#2412C2214yescomplemented
209#2412C2212yescomplemented
210#2412C2212yescomplemented
211#2411C2212yescomplemented
212#2410C2212yes—
213#2410C2214yescomplemented
214#2410C2212yescomplemented
215#2410C2212yescomplemented
216#2406C2211yescharacteristic, complemented
217#2405C2211yescharacteristic
218#2405C2212yescomplemented
219#2405C2211yescharacteristic, complemented
220#2405C2212yescomplemented
221#2404C2211yescharacteristic, complemented
222#2403C2211yescharacteristic
223#2403C2212yescomplemented
224C2×#400C2212yescomplemented
225C2×#399C2212yescomplemented
226C2×#398C2212yescomplemented
227C2×#397C2212yescomplemented
228#2377C2212yescomplemented
229#2377C2212yescomplemented
230#2364C2212yescomplemented
231#2364C2212yescomplemented
232#2349C2214yescomplemented
233D4×C4⋊C4C2214yescomplemented
234#2342C2212yescomplemented
235#2342C2212yescomplemented
236#2339C2214yescomplemented
237D4×C22⋊C4C2214yescomplemented
238D4×C22⋊C4C2212yescomplemented
239D4×C22⋊C4C2212yescomplemented
240#2333C2214yescomplemented
241#2325C2214yescomplemented
242#2325C2214yescomplemented
243#2322C2212yescomplemented
244#2321C2212yescomplemented
245#2321C2212yescomplemented
246#2321C2212yescomplemented
247#2317C2212yescomplemented
248#2315C2212yescomplemented
249#2313C2212yescomplemented
250#2311C2212yescomplemented
251#2308C2212yescomplemented
252#2308C2212yescomplemented
253C4×#123C2212yescomplemented
254C4×#123C2212yescomplemented
255C2×#386C2212yes—
256C2×#386C2212yescomplemented
257C2×#385C2212yescomplemented
258C2×#385C2212yescomplemented
259#2280C2211yescharacteristic, complemented
260C2×#381C2211yescharacteristic, complemented
261C22×#41C2311yescharacteristic
262C22×#41C2312yes—
263C23×D4C2312yes—
264C23×D4C2312yes—
265C23×D4C2311yescharacteristic
266C23×D4C2311yescharacteristic
267C23×D4C2312yes—
268C23×D4C2311yescharacteristic
269C23×D4C2312yes—
270C24×C4C2311yescharacteristic
271C24×C4C2312yes—
272C24×C4C2312yes—
273C24×C4C2311yescharacteristic
274#562—216no—
275#560—216no—
276#553—216no—
277#553—216no—
278#553—216no—
279#553—216no—
280#553—232no—
281#553—232no—
282#553—216no—
283#551—216no—
284#546—216no—
285#546—216no—
286#546—216no—
287D42—216no—
288#540—216no—
289#539—28no—
290#539—216no—
291#538—28no—
292#538—216no—
293#537—28no—
294#534—216no—
295#534—28no—
296C2×#127C2312yes—
297C2×#126—216no—
298C2×#126C2314yes—
299C2×#126C2314yes—
300C2×#126C2314yes—
301C2×#126C2314yes—
302C2×#126C2312yes—
303C2×#126C2312yes—
304C2×#126C2312yes—
305C2×#126C2312yes—
306C2×#125—28no—
307C2×#125C2312yes—
308C2×#125C2314yes—
309C2×#125C2312yes—
310C2×#125C2312yes—
311C2×#125C2312yes—
312C2×#124C2312yes—
313C2×#124C2312yes—
314C2×#124C2312yes—
315#525—28no—
316C2×#123—28no—
317C2×#123—216no—
318C2×#123C2312yes—
319C2×#123C2312yes—
320C2×#123C2312yes—
321C2×#123C2312yes—
322C2×#123C2312yes—
323C2×#123C2314yes—
324C2×#123C2314yes—
325C2×#123C2314yes—
326C2×#123C2314yes—
327C2×#123C2312yes—
328C2×#123C2312yes—
329C2×#123C2312yes—
330C2×#123C2312yes—
331C2×#123C2312yes—
332C2×#123C2312yes—
333C2×#123C2312yes—
334C2×#123C2312yes—
335C2×#123C2312yes—
336C2×#123C2312yes—
337C2×#123C2312yes—
338C2×#123C2312yes—
339C2×#123C2314yes—
340C2×#123C2314yes—
341C2×#123C2314yes—
342C2×#123C2314yes—
343C2×#123C2314yes—
344C2×C22⋊Q8C2311yescharacteristic
345C2×C22⋊Q8C2312yes—
346C2×C22⋊Q8C2311yescharacteristic
347C2×C22⋊Q8C2312yes—
348C2×C22⋊Q8C2312yes—
349C2×C22⋊Q8C2312yes—
350C2×C22⋊Q8C2312yes—
351C2×#121—28no—
352C2×#121—216no—
353C2×#121D4116yescomplemented
354C2×#121C2312yes—
355C2×#121C2311yescharacteristic
356C2×#121C2314yes—
357C2×#121C2312yes—
358C2×#121C2314yes—
359C2×#121C2312yes—
360C2×#121C2314yes—
361C2×#121C2314yes—
362C2×#121C2314yes—
363C2×#121C2311yescharacteristic
364C2×#121C2312yes—
365C2×#121C2312yes—
366C2×#121C2312yes—
367C2×#121C2312yes—
368C2×#121C2312yes—
369C2×#121C2312yes—
370C2×#121C2312yes—
371C2×#121C2312yes—
372C2×#121C2312yes—
373C2×#121C2312yes—
374C2×#121C2312yes—
375C2×#121C2312yes—
376C2×#121C2314yes—
377C2×#121C2314yes—
378C2×#121C2314yes—
379C2×#121C2312yes—
380C2×#121C2312yes—
381C2×#121C2311yescharacteristic
382C2×#121C2311yescharacteristic
383C2×#121C2311yescharacteristic
384C2×#121C2311yescharacteristic
385C2×#120C2312yes—
386C2×#120C2312yes—
387C2×#120C2312yes—
388C2×#120C2312yes—
389C2×#120C2312yes—
390C2×#120C2312yes—
391C2×#120C2312yes—
392C2×#120C2312yes—
393C2×#120C2312yes—
394C2×#120C2312yes—
395C2×#120C2312yes—
396C2×#120C2314yes—
397C2×C4×D4—216no—
398C2×C4×D4—28no—
399C2×C4×D4—28no—
400C2×C4×D4C2312yes—
401C2×C4×D4C2312yes—
402C2×C4×D4C2312yes—
403C2×C4×D4C2312yes—
404C2×C4×D4C2312yes—
405C2×C4×D4C2314yes—
406C2×C4×D4C2314yes—
407C2×C4×D4C2312yes—
408C2×C4×D4C2312yes—
409C2×C4×D4C2312yes—
410C2×C4×D4C2312yes—
411C2×C4×D4C2312yes—
412C2×C4×D4C2312yes—
413C2×C4×D4C2314yes—
414C2×C4×D4C2314yes—
415C2×C4×D4C2314yes—
416C2×C4×D4C2312yes—
417C2×C4×D4C2312yes—
418C2×C4×D4C2312yes—
419C2×C4×D4C2314yes—
420C2×C4×D4C2314yes—
421C2×#117—28no—
422C2×#117C2311yescharacteristic
423C2×#117C2312yes—
424C2×#117C2314yes—
425C2×#117C2312yes—
426C2×#117C2312yes—
427C2×#117C2312yes—
428C22×C4⋊C4—28no—
429C22×C4⋊C4C2312yes—
430C22×C4⋊C4C2311yescharacteristic
431C22×C4⋊C4C2312yes—
432C22×C4⋊C4C2311yescharacteristic
433C22×C4⋊C4C2311yescharacteristic
434C22×C4⋊C4C2311yescharacteristic
435C22×C4⋊C4C2312yes—
436C22×C4⋊C4C2312yes—
437C22×C4⋊C4C2312yes—
438C22×C4⋊C4C2312yes—
439C22×C4⋊C4C2311yescharacteristic
440C22×C4⋊C4C2312yes—
441C22×C4⋊C4C2314yes—
442C22×C4⋊C4C2314yes—
443C22×C4⋊C4C2311yescharacteristic
444C22×C22⋊C4C2312yes—
445C22×C22⋊C4C2312yes—
446C22×C22⋊C4C2312yes—
447C22×C22⋊C4C2311yescharacteristic
448C22×C22⋊C4C2311yescharacteristic
449C22×C22⋊C4C2311yescharacteristic
450C22×C22⋊C4C2311yescharacteristic
451C22×C22⋊C4C2312yes—
452C22×C22⋊C4C2311yescharacteristic
453C22×C22⋊C4C2312yes—
454C22×C22⋊C4C2312yes—
455C22×C22⋊C4C2312yes—
456C22×C22⋊C4C2312yes—
457C22×C22⋊C4C2314yes—
458C22×C22⋊C4C2314yes—
459C22×C22⋊C4C2312yes—
460C22×C42C2311yescharacteristic
461C22×C42C2312yes—
462#400C2312yes—
463#400C2314yes—
464#400C2314yes—
465#400C2314yes—
466#400C2314yes—
467#400C2314yes—
468#400C2314yes—
469#400C2314yes—
470#400C2314yes—
471#400C2314yes—
472#399C2312yes—
473#399C2314yes—
474#399C2314yes—
475#399C2314yes—
476#399C2314yes—
477#399C2314yes—
478#399C2314yes—
479#399C2314yes—
480#399C2314yes—
481#399C2314yes—
482#398C2314yes—
483#398C2314yes—
484#398C2314yes—
485#398C2314yes—
486#398C2314yes—
487#398C2314yes—
488#398C2314yes—
489#398C2314yes—
490#398C2314yes—
491#398C2314yes—
492#398C2312yes—
493#398C2314yes—
494#398C2314yes—
495#397C2314yes—
496#397C2314yes—
497#397C2314yes—
498#397C2314yes—
499#397C2314yes—
500#397C2314yes—
501#397C2314yes—
502#397C2314yes—
503#397C2314yes—
504#397C2314yes—
505#397C2314yes—
506#397C2314yes—
507#397C2314yes—
508#397C2312yes—
509#397C2314yes—
510#397C2314yes—
511#397C2314yes—
512#397C2314yes—
513#397C2314yes—
514#397C2314yes—
515#396C2314yes—
516#396C2314yes—
517#396C2314yes—
518#396C2314yes—
519#396C2314yes—
520#396C2314yes—
521#395C2312yes—
522#395C2314yes—
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#394C2312yes—
536#394C2314yes—
537#394C2314yes—
538#394C2314yes—
539#394C2314yes—
540#394C2314yes—
541#394C2314yes—
542#394C2314yes—
543#394C2314yes—
544#393C2312yes—
545#393C2314yes—
546#392C2314yes—
547#392C2314yes—
548#392C2314yes—
549#392C2312yes—
550#392C2314yes—
551#392C2314yes—
552#392C2314yes—
553#392C2314yes—
554#391C2314yes—
555#391C2314yes—
556#391C2314yes—
557#390C2314yes—
558#390C2314yes—
559#390C2314yes—
560#390C2314yes—
561#390C2314yes—
562#390C2314yes—
563#390C2314yes—
564#390C2314yes—
565#389C2314yes—
566#389C2314yes—
567#389C2314yes—
568#389C2314yes—
569#389C2314yes—
570#389C2314yes—
571#389C2314yes—
572#389C2314yes—
573#389C2314yes—
574#388C2314yes—
575#388C2314yes—
576#388C2314yes—
577#388C2314yes—
578#388C2314yes—
579#388C2314yes—
580#388C2314yes—
581#388C2314yes—
582#388C2314yes—
583#388C2314yes—
584#388C2314yes—
585#388C2314yes—
586#388C2314yes—
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2314yes—
594#388C2314yes—
595#387C2314yes—
596#387C2314yes—
597#387C2314yes—
598#387C2314yes—
599#387C2314yes—
600#387C2314yes—
601#387C2314yes—
602#387C2314yes—
603#387C2314yes—
604#387C2314yes—
605#387C2314yes—
606#387C2314yes—
607#387C2314yes—
608#387C2314yes—
609#387C2314yes—
610#386C2312yes—
611#386C2312yes—
612#386C2312yes—
613#386C2312yes—
614#386C2314yes—
615#386C2314yes—
616#386C2314yes—
617#386C2314yes—
618#386C2314yes—
619#386C2314yes—
620#386C2314yes—
621#386C2312yes—
622#386C2312yes—
623#386C2312yes—
624#386C2312yes—
625#386C2314yes—
626#386C2314yes—
627#386C2314yes—
628#386C2312yes—
629#386C2312yes—
630#386C2314yes—
631#386C2314yes—
632#386C2314yes—
633#386C2314yes—
634#386C2314yes—
635#386C2314yes—
636#386C2314yes—
637#386C2312yes—
638#386C2314yes—
639#386C2312yes—
640#386C2314yes—
641#386C2314yes—
642#386C2314yes—
643#386C2312yes—
644#386C2314yes—
645#386C2314yes—
646#386C2314yes—
647#386C2314yes—
648#386C2312yes—
649#386C2314yes—
650#386C2314yes—
651#386C2314yes—
652#386C2314yes—
653#386C2314yes—
654#386C2314yes—
655#386C2314yes—
656#386C2314yes—
657#385C2314yes—
658#385C2312yes—
659#385C2312yes—
660#385C2312yes—
661#385C2312yes—
662#385C2314yes—
663#385C2314yes—
664#385C2312yes—
665#385C2312yes—
666#385C2312yes—
667#385C2312yes—
668#385C2312yes—
669#385C2314yes—
670#385C2314yes—
671#385C2312yes—
672#385C2314yes—
673#385C2314yes—
674#385C2314yes—
675#385C2314yes—
676#385C2314yes—
677#385C2314yes—
678#385C2312yes—
679#385C2312yes—
680#385C2314yes—
681#385C2312yes—
682#385C2314yes—
683#385C2314yes—
684#385C2314yes—
685#385C2314yes—
686#385C2314yes—
687#385C2312yes—
688#385C2314yes—
689#385C2314yes—
690#385C2314yes—
691#385C2314yes—
692#384C2314yes—
693#384C2314yes—
694#382C2314yes—
695#382C2314yes—
696#381C2312yes—
697#381C2312yes—
698#381C2314yes—
699#381C2312yes—
700#381C2312yes—
701#381C2314yes—
702#381C2312yes—
703#381C2312yes—
704#381C2314yes—
705#381C2314yes—
706#381C2314yes—
707#381C2314yes—
708#381C2311yescharacteristic
709#381C2311yescharacteristic
710#381C2312yes—
711#380C2314yes—
712#380C2314yes—
713#380C2314yes—
714#380C2312yes—
715#380C2312yes—
716#380C2314yes—
717#380C2314yes—
718#380C2312yes—
719#380C2314yes—
720#380C2314yes—
721#380C2314yes—
722#380C2314yes—
723#380C2312yes—
724#379C2312yes—
725#379C2312yes—
726#379C2314yes—
727#379C2312yes—
728#379C2312yes—
729#379C2312yes—
730#379C2311yescharacteristic
731#379C2311yescharacteristic
732#379C2314yes—
733C4×C4⋊C4C2314yes—
734C4×C4⋊C4C2314yes—
735C4×C22⋊C4C2312yes—
736C4×C22⋊C4C2312yes—
737C4×C22⋊C4C2312yes—
738C4×C22⋊C4C2312yes—
739C4×C22⋊C4C2314yes—
740C4×C22⋊C4C2314yes—
741C4×C22⋊C4C2314yes—
742C4×C22⋊C4C2314yes—
743C2×#95C2312yes—
744C2×#95C2312yes—
745C2×#95C2314yes—
746C2×#95C2314yes—
747C2×#95C2314yes—
748C2×#95C2314yes—
749C25C2411yescharacteristic
750C25C2411yescharacteristic
751C25C2411yescharacteristic
752C25C2412yes—
753C25C2412yes—
754C2×#41—28no—
755C2×#41—24no—
756C2×#41—44no—
757C2×#41—48no—
758C22×Q8C2411yescharacteristic
759C22×Q8C2412yes—
760C22×D4—24no—
761C22×D4—28no—
762C22×D4—24no—
763C22×D4—28no—
764C22×D4—28no—
765C22×D4—44no—
766C22×D4—48no—
767C22×D4—44no—
768C22×D4—48no—
769C22×D4—44no—
770C22×D4—44no—
771C22×D4—44no—
772C22×D4—84no—
773C22×D4C2×D418yes—
774C22×D4C2×D4116yes—
775C22×D4C2412yes—
776C22×D4C2412yes—
777C22×D4C2412yes—
778C22×D4C2412yes—
779C22×D4C2412yes—
780C22×D4C2412yes—
781C22×D4C2412yes—
782C22×D4C2412yes—
783C22×D4C2412yes—
784C22×D4C2412yes—
785C22×D4C2412yes—
786C22×D4C2411yescharacteristic
787C22×D4C2412yes—
788C22×D4C2414yes—
789C22×D4C2412yes—
790C22×D4C2412yes—
791C22×D4C2412yes—
792C22×D4C2414yes—
793C22×D4C2412yes—
794C22×D4C2414yes—
795C22×D4C2414yes—
796C22×D4C2411yescharacteristic
797C22×D4C2412yes—
798C22×D4C2412yes—
799C22×D4C2411yescharacteristic
800C22×D4C2412yes—
801C23×C4—28no—
802C23×C4—28no—
803C23×C4—24no—
804C23×C4—44no—
805C23×C4—44no—
806C23×C4—84no—
807C23×C4—84no—
808C23×C4C2×D418yes—
809C23×C4C2411yescharacteristic
810C23×C4C2411yescharacteristic
811C23×C4C2411yescharacteristic
812C23×C4C2411yescharacteristic
813C23×C4C2411yescharacteristic
814C23×C4C2411yescharacteristic
815C23×C4C2412yes—
816C23×C4C2411yescharacteristic
817C23×C4C2414yes—
818C23×C4C2412yes—
819C23×C4C2414yes—
820C23×C4C2412yes—
821C23×C4C2414yes—
822C23×C4C2412yes—
823C23×C4C2412yes—
824C23×C4C2412yes—
825C23×C4C2414yes—
826C23×C4C2411yescharacteristic
827C23×C4C2414yes—
828C23×C4C2412yes—
829C23×C4C2412yes—
830C23×C4C2412yes—
831C23×C4C2412yes—
832C23×C4C2414yes—
833C23×C4C2414yes—
834C23×C4C2412yes—
835C23×C4C2411yescharacteristic
836C23×C4C2411yescharacteristic
837C23×C4C2411yescharacteristic
838C23×C4C2411yescharacteristic
839#127—28no—
840#126—28no—
841#126—28no—
842#126—216no—
843#126—216no—
844#126—216no—
845#126—216no—
846#126—28no—
847#126—28no—
848#125—28no—
849#125—216no—
850#125—28no—
851#125—28no—
852#125—28no—
853#124—28no—
854#124—28no—
855#124—28no—
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—28no—
872#123—28no—
873#123—28no—
874#123—44no—
875#123—44no—
876#123—44no—
877#123—84no—
878#123—84no—
879#123—84no—
880#123—84no—
881#123—84no—
882C22⋊Q8—24no—
883C22⋊Q8—24no—
884C22⋊Q8—28no—
885C22⋊Q8—28no—
886C22⋊Q8—28no—
887C22⋊Q8—28no—
888C22⋊Q8—28no—
889#121—28no—
890#121—216no—
891#121—28no—
892#121—216no—
893#121—216no—
894#121—216no—
895#121—216no—
896#121—28no—
897#121—28no—
898#121—28no—
899#121—28no—
900#121—28no—
901#121—28no—
902#121—28no—
903#121—28no—
904#121—28no—
905#121—28no—
906#121—24no—
907#121—24no—
908#121—28no—
909#121—28no—
910#121—28no—
911#121—48no—
912#121—84no—
913#121—84no—
914#121C2×D418yes—
915#121C2×D418yes—
916#121C2×D418yes—
917#121C2×D418yes—
918#121C2×D4116yes—
919#121C2×D4116yes—
920#120—28no—
921#120—28no—
922#120—28no—
923#120—28no—
924#120—28no—
925#120—28no—
926#120—28no—
927#120—28no—
928#120—44no—
929#120—44no—
930#120—44no—
931#120—84no—
932C4×D4—216no—
933C4×D4—216no—
934C4×D4—216no—
935C4×D4—216no—
936C4×D4—28no—
937C4×D4—216no—
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—28no—
949C4×D4—28no—
950C4×D4—28no—
951C4×D4—48no—
952C4×D4—48no—
953#117—24no—
954#117—28no—
955#117—216no—
956#117—28no—
957#117—28no—
958#117—44no—
959C2×C4⋊C4—24no—
960C2×C4⋊C4—24no—
961C2×C4⋊C4—28no—
962C2×C4⋊C4—28no—
963C2×C4⋊C4—28no—
964C2×C4⋊C4—28no—
965C2×C4⋊C4—28no—
966C2×C4⋊C4—28no—
967C2×C4⋊C4—24no—
968C2×C4⋊C4—28no—
969C2×C4⋊C4—24no—
970C2×C4⋊C4—24no—
971C2×C4⋊C4—84no—
972C2×C4⋊C4—84no—
973C2×C4⋊C4C2×D418yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2414yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2414yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2411yescharacteristic
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2411yescharacteristic
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2414yes—
1001C2×C4⋊C4C2414yes—
1002C2×C4⋊C4C2414yes—
1003C2×C4⋊C4C2414yes—
1004C2×C4⋊C4C2414yes—
1005C2×C4⋊C4C2414yes—
1006C2×C4⋊C4C2414yes—
1007C2×C4⋊C4C2414yes—
1008C2×C4⋊C4C2414yes—
1009C2×C4⋊C4C2414yes—
1010C2×C4⋊C4C2414yes—
1011C2×C4⋊C4C2414yes—
1012C2×C4⋊C4C2414yes—
1013C2×C4⋊C4C2414yes—
1014C2×C4⋊C4C2414yes—
1015C2×C4⋊C4C2414yes—
1016C2×C4⋊C4C2414yes—
1017C2×C4⋊C4C2411yescharacteristic
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2411yescharacteristic
1020C2×C22⋊C4—24no—
1021C2×C22⋊C4—28no—
1022C2×C22⋊C4—28no—
1023C2×C22⋊C4—24no—
1024C2×C22⋊C4—28no—
1025C2×C22⋊C4—28no—
1026C2×C22⋊C4—24no—
1027C2×C22⋊C4—24no—
1028C2×C22⋊C4—24no—
1029C2×C22⋊C4—28no—
1030C2×C22⋊C4—44no—
1031C2×C22⋊C4—44no—
1032C2×C22⋊C4—44no—
1033C2×C22⋊C4—84no—
1034C2×C22⋊C4—84no—
1035C2×C22⋊C4C2×D4116yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2414yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2412yes—
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⋊C4C2412yes—
1070C2×C22⋊C4C2412yes—
1071C2×C22⋊C4C2412yes—
1072C2×C22⋊C4C2412yes—
1073C2×C22⋊C4C2414yes—
1074C2×C22⋊C4C2414yes—
1075C2×C22⋊C4C2414yes—
1076C2×C22⋊C4C2414yes—
1077C2×C22⋊C4C2414yes—
1078C2×C22⋊C4C2414yes—
1079C2×C22⋊C4C2414yes—
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⋊C4C2412yes—
1096C2×C22⋊C4C2412yes—
1097C2×C22⋊C4C2414yes—
1098C2×C22⋊C4C2414yes—
1099C2×C22⋊C4C2414yes—
1100C2×C22⋊C4C2414yes—
1101C2×C22⋊C4C2414yes—
1102C2×C22⋊C4C2412yes—
1103C2×C22⋊C4C2412yes—
1104C2×C22⋊C4C2412yes—
1105C2×C22⋊C4C2412yes—
1106C2×C42—28no—
1107C2×C42—24no—
1108C2×C42C2412yes—
1109C2×C42C2414yes—
1110C2×C42C2414yes—
1111C2×C42C2412yes—
1112C2×C42C2412yes—
1113C2×C42C2412yes—
1114C2×C42C2412yes—
1115C2×C42C2414yes—
1116C2×C42C2414yes—
1117C2×C42C2414yes—
1118#95C2414yes—
1119#95C2414yes—
1120#95C2412yes—
1121#95C2412yes—
1122#95C2414yes—
1123#95C2414yes—
1124#95C2414yes—
1125#95C2414yes—
1126#95C2414yes—
1127#95C2414yes—
1128#95C2414yes—
1129#95C2412yes—
1130#95C2412yes—
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—
1158C24—24no—
1159C24—24no—
1160C24—24no—
1161C24—24no—
1162C24—22no—
1163C24—22no—
1164C24—24no—
1165C24—24no—
1166C24—24no—
1167C24—42no—
1168C24—44no—
1169C24—44no—
1170C24—42no—
1171C24—42no—
1172C24—42no—
1173C24—42no—
1174C24—42no—
1175C24—44no—
1176C24—44no—
1177C24—42no—
1178C24C22×D414yes—
1179C24C22×D418yes—
1180C24C2512yes—
1181C24C2512yes—
1182C24C2512yes—
1183C24C2512yes—
1184C24C2511yescharacteristic
1185C24C2512yes—
1186C24C2511yescharacteristic
1187C24C2511yescharacteristic
1188#41—88no—
1189#41—816no—
1190C2×Q8—22no—
1191C2×Q8—24no—
1192C2×Q8—42no—
1193C2×Q8—44no—
1194C2×D4—28no—
1195C2×D4—28no—
1196C2×D4—24no—
1197C2×D4—24no—
1198C2×D4—24no—
1199C2×D4—24no—
1200C2×D4—24no—
1201C2×D4—24no—
1202C2×D4—24no—
1203C2×D4—24no—
1204C2×D4—24no—
1205C2×D4—28no—
1206C2×D4—24no—
1207C2×D4—24no—
1208C2×D4—24no—
1209C2×D4—24no—
1210C2×D4—24no—
1211C2×D4—24no—
1212C2×D4—24no—
1213C2×D4—24no—
1214C2×D4—24no—
1215C2×D4—28no—
1216C2×D4—28no—
1217C2×D4—24no—
1218C2×D4—22no—
1219C2×D4—24no—
1220C2×D4—416no—
1221C2×D4—44no—
1222C2×D4—44no—
1223C2×D4—42no—
1224C2×D4—42no—
1225C2×D4—42no—
1226C2×D4—42no—
1227C2×D4—42no—
1228C2×D4—42no—
1229C2×D4—44no—
1230C2×D4—44no—
1231C2×D4—44no—
1232C2×D4—44no—
1233C2×D4—44no—
1234C2×D4—44no—
1235C2×D4—44no—
1236C2×D4—44no—
1237C2×D4—42no—
1238C2×D4—42no—
1239C2×D4—42no—
1240C2×D4—44no—
1241C2×D4—42no—
1242C2×D4—42no—
1243C2×D4—42no—
1244C2×D4—42no—
1245C2×D4—44no—
1246C2×D4—44no—
1247C2×D4—44no—
1248C2×D4—44no—
1249C2×D4—44no—
1250C2×D4—44no—
1251C2×D4—44no—
1252C2×D4—432no—
1253C2×D4—416no—
1254C2×D4—816no—
1255C2×D4—816no—
1256C2×D4—88no—
1257C2×D4—816no—
1258C2×D4C22×D418yes—
1259C2×D4C22×D418yes—
1260C2×D4C22×D414yes—
1261C2×D4C22×D418yes—
1262C2×D4C22×D418yes—
1263C2×D4C22×D414yes—
1264C2×D4C22×D418yes—
1265C22×C4—24no—
1266C22×C4—24no—
1267C22×C4—22no—
1268C22×C4—22no—
1269C22×C4—24no—
1270C22×C4—22no—
1271C22×C4—22no—
1272C22×C4—24no—
1273C22×C4—24no—
1274C22×C4—24no—
1275C22×C4—22no—
1276C22×C4—24no—
1277C22×C4—24no—
1278C22×C4—28no—
1279C22×C4—28no—
1280C22×C4—22no—
1281C22×C4—28no—
1282C22×C4—28no—
1283C22×C4—24no—
1284C22×C4—28no—
1285C22×C4—24no—
1286C22×C4—24no—
1287C22×C4—24no—
1288C22×C4—24no—
1289C22×C4—24no—
1290C22×C4—416no—
1291C22×C4—42no—
1292C22×C4—42no—
1293C22×C4—42no—
1294C22×C4—42no—
1295C22×C4—44no—
1296C22×C4—44no—
1297C22×C4—44no—
1298C22×C4—42no—
1299C22×C4—44no—
1300C22×C4—44no—
1301C22×C4—42no—
1302C22×C4—44no—
1303C22×C4—44no—
1304C22×C4—44no—
1305C22×C4—44no—
1306C22×C4—44no—
1307C22×C4—42no—
1308C22×C4—44no—
1309C22×C4—44no—
1310C22×C4—44no—
1311C22×C4—44no—
1312C22×C4—44no—
1313C22×C4—44no—
1314C22×C4—44no—
1315C22×C4—44no—
1316C22×C4—44no—
1317C22×C4—44no—
1318C22×C4—42no—
1319C22×C4—42no—
1320C22×C4—42no—
1321C22×C4—44no—
1322C22×C4—42no—
1323C22×C4—42no—
1324C22×C4—44no—
1325C22×C4—44no—
1326C22×C4—44no—
1327C22×C4—44no—
1328C22×C4—416no—
1329C22×C4—816no—
1330C22×C4—816no—
1331C22×C4C22×D414yes—
1332C22×C4C22×D414yes—
1333C22×C4C22×D418yes—
1334C22×C4C22×D414yes—
1335C22×C4C22×D414yes—
1336C22×C4C22×D414yes—
1337C22×C4C22×D414yes—
1338C22×C4C2514yes—
1339C22×C4C2514yes—
1340C22×C4C2514yes—
1341C22×C4C2512yes—
1342C22×C4C2512yes—
1343C22×C4C2512yes—
1344C22×C4C2512yes—
1345C22×C4C2514yes—
1346C22×C4C2512yes—
1347C22×C4C2512yes—
1348C22×C4C2514yes—
1349C22×C4C2512yes—
1350C22×C4C2514yes—
1351C22×C4C2512yes—
1352C22×C4C2512yes—
1353C22×C4C2511yescharacteristic
1354C22×C4C2511yescharacteristic
1355C22×C4C2512yes—
1356C22×C4C2512yes—
1357C22×C4C2511yescharacteristic
1358C22×C4C2511yescharacteristic
1359C4⋊C4—24no—
1360C4⋊C4—24no—
1361C4⋊C4—24no—
1362C4⋊C4—24no—
1363C4⋊C4—28no—
1364C4⋊C4—28no—
1365C4⋊C4—24no—
1366C4⋊C4—28no—
1367C4⋊C4—28no—
1368C4⋊C4—24no—
1369C4⋊C4—24no—
1370C4⋊C4—28no—
1371C4⋊C4—28no—
1372C4⋊C4—24no—
1373C4⋊C4—24no—
1374C4⋊C4—24no—
1375C4⋊C4—22no—
1376C4⋊C4—24no—
1377C4⋊C4—22no—
1378C4⋊C4—24no—
1379C4⋊C4—24no—
1380C4⋊C4—24no—
1381C4⋊C4—24no—
1382C4⋊C4—24no—
1383C4⋊C4—24no—
1384C4⋊C4—24no—
1385C4⋊C4—44no—
1386C4⋊C4—44no—
1387C4⋊C4—44no—
1388C4⋊C4—44no—
1389C4⋊C4—44no—
1390C4⋊C4—44no—
1391C4⋊C4—44no—
1392C4⋊C4—44no—
1393C4⋊C4—44no—
1394C4⋊C4—44no—
1395C4⋊C4—44no—
1396C4⋊C4—44no—
1397C4⋊C4—44no—
1398C4⋊C4—44no—
1399C4⋊C4—44no—
1400C4⋊C4—44no—
1401C4⋊C4—44no—
1402C4⋊C4C22×D414yes—
1403C4⋊C4C22×D418yes—
1404C4⋊C4C22×D414yes—
1405C22⋊C4—24no—
1406C22⋊C4—24no—
1407C22⋊C4—24no—
1408C22⋊C4—24no—
1409C22⋊C4—28no—
1410C22⋊C4—28no—
1411C22⋊C4—28no—
1412C22⋊C4—28no—
1413C22⋊C4—24no—
1414C22⋊C4—24no—
1415C22⋊C4—24no—
1416C22⋊C4—24no—
1417C22⋊C4—24no—
1418C22⋊C4—24no—
1419C22⋊C4—24no—
1420C22⋊C4—24no—
1421C22⋊C4—24no—
1422C22⋊C4—24no—
1423C22⋊C4—24no—
1424C22⋊C4—24no—
1425C22⋊C4—24no—
1426C22⋊C4—24no—
1427C22⋊C4—24no—
1428C22⋊C4—24no—
1429C22⋊C4—28no—
1430C22⋊C4—28no—
1431C22⋊C4—24no—
1432C22⋊C4—24no—
1433C22⋊C4—24no—
1434C22⋊C4—24no—
1435C22⋊C4—24no—
1436C22⋊C4—24no—
1437C22⋊C4—24no—
1438C22⋊C4—24no—
1439C22⋊C4—24no—
1440C22⋊C4—24no—
1441C22⋊C4—24no—
1442C22⋊C4—44no—
1443C22⋊C4—44no—
1444C22⋊C4—44no—
1445C22⋊C4—44no—
1446C22⋊C4—44no—
1447C22⋊C4—44no—
1448C22⋊C4—44no—
1449C22⋊C4—44no—
1450C22⋊C4—44no—
1451C22⋊C4—44no—
1452C22⋊C4—44no—
1453C22⋊C4—44no—
1454C22⋊C4—44no—
1455C22⋊C4—44no—
1456C22⋊C4—44no—
1457C22⋊C4—44no—
1458C22⋊C4—44no—
1459C22⋊C4—44no—
1460C22⋊C4—44no—
1461C22⋊C4—44no—
1462C22⋊C4—44no—
1463C22⋊C4—44no—
1464C22⋊C4—44no—
1465C22⋊C4—44no—
1466C22⋊C4—44no—
1467C22⋊C4—42no—
1468C22⋊C4—44no—
1469C22⋊C4—42no—
1470C22⋊C4—44no—
1471C22⋊C4C22×D418yes—
1472C22⋊C4C22×D418yes—
1473C22⋊C4C22×D418yes—
1474C22⋊C4C22×D418yes—
1475C42—28no—
1476C42—28no—
1477C42—24no—
1478C42—24no—
1479C42—24no—
1480C42—24no—
1481C42—24no—
1482C42—44no—
1483C42—44no—
1484C42—44no—
1485C23—22no—
1486C23—22no—
1487C23—22no—
1488C23—22no—
1489C23—22no—
1490C23—22no—
1491C23—22no—
1492C23—24no—
1493C23—24no—
1494C23—22no—
1495C23—22no—
1496C23—22no—
1497C23—22no—
1498C23—24no—
1499C23—24no—
1500C23—28no—
1501C23—28no—
1502C23—216no—
1503C23—22no—
1504C23—22no—
1505C23—22no—
1506C23—24no—
1507C23—22no—
1508C23—22no—
1509C23—22no—
1510C23—22no—
1511C23—24no—
1512C23—24no—
1513C23—22no—
1514C23—22no—
1515C23—24no—
1516C23—24no—
1517C23—24no—
1518C23—44no—
1519C23—48no—
1520C23—48no—
1521C23—416no—
1522C23—44no—
1523C23—44no—
1524C23—44no—
1525C23—44no—
1526C23—88no—
1527C23—88no—
1528C23—88no—
1529C23—82no—
1530C23—84no—
1531C23—84no—
1532C23—82no—
1533C23—88no—
1534C23—84no—
1535C23—88no—
1536C23—164no—
1537C23C23×D414yes—
1538C23C23×D414yes—
1539C23C23×D412yes—
1540C23C23×D412yes—
1541C23C23×D412yes—
1542C23#58514yes—
1543C23#58514yes—
1544C23C2611yescharacteristic
1545Q8—82no—
1546Q8—84no—
1547D4—216no—
1548D4—216no—
1549D4—44no—
1550D4—48no—
1551D4—44no—
1552D4—48no—
1553D4—48no—
1554D4—48no—
1555D4—48no—
1556D4—48no—
1557D4—48no—
1558D4—48no—
1559D4—84no—
1560D4—82no—
1561D4—84no—
1562D4—84no—
1563D4—84no—
1564D4—84no—
1565D4—84no—
1566D4—84no—
1567D4—84no—
1568D4—88no—
1569D4—88no—
1570D4—84no—
1571D4—164no—
1572D4—164no—
1573C2×C4—22no—
1574C2×C4—24no—
1575C2×C4—24no—
1576C2×C4—22no—
1577C2×C4—22no—
1578C2×C4—22no—
1579C2×C4—28no—
1580C2×C4—28no—
1581C2×C4—22no—
1582C2×C4—22no—
1583C2×C4—22no—
1584C2×C4—24no—
1585C2×C4—22no—
1586C2×C4—22no—
1587C2×C4—22no—
1588C2×C4—22no—
1589C2×C4—22no—
1590C2×C4—22no—
1591C2×C4—24no—
1592C2×C4—24no—
1593C2×C4—24no—
1594C2×C4—24no—
1595C2×C4—24no—
1596C2×C4—24no—
1597C2×C4—24no—
1598C2×C4—24no—
1599C2×C4—24no—
1600C2×C4—24no—
1601C2×C4—22no—
1602C2×C4—22no—
1603C2×C4—22no—
1604C2×C4—22no—
1605C2×C4—24no—
1606C2×C4—24no—
1607C2×C4—22no—
1608C2×C4—22no—
1609C2×C4—24no—
1610C2×C4—24no—
1611C2×C4—24no—
1612C2×C4—24no—
1613C2×C4—24no—
1614C2×C4—24no—
1615C2×C4—24no—
1616C2×C4—24no—
1617C2×C4—24no—
1618C2×C4—24no—
1619C2×C4—24no—
1620C2×C4—44no—
1621C2×C4—44no—
1622C2×C4—44no—
1623C2×C4—44no—
1624C2×C4—48no—
1625C2×C4—48no—
1626C2×C4—48no—
1627C2×C4—48no—
1628C2×C4—44no—
1629C2×C4—48no—
1630C2×C4—44no—
1631C2×C4—44no—
1632C2×C4—44no—
1633C2×C4—84no—
1634C2×C4—84no—
1635C2×C4—84no—
1636C2×C4—82no—
1637C2×C4—84no—
1638C2×C4—88no—
1639C2×C4—88no—
1640C2×C4—88no—
1641C2×C4—88no—
1642C2×C4—88no—
1643C2×C4—82no—
1644C2×C4—84no—
1645C2×C4—84no—
1646C2×C4—88no—
1647C2×C4—164no—
1648C2×C4C23×D414yes—
1649C2×C4C23×D414yes—
1650C2×C4C23×D412yes—
1651C2×C4C23×D412yes—
1652C2×C4C23×D412yes—
1653C2×C4C23×D412yes—
1654C22—22no—
1655C22—22no—
1656C22—22no—
1657C22—22no—
1658C22—28no—
1659C22—28no—
1660C22—22no—
1661C22—24no—
1662C22—24no—
1663C22—24no—
1664C22—22no—
1665C22—24no—
1666C22—22no—
1667C22—24no—
1668C22—24no—
1669C22—416no—
1670C22—44no—
1671C22—44no—
1672C22—44no—
1673C22—44no—
1674C22—44no—
1675C22—42no—
1676C22—42no—
1677C22—42no—
1678C22—42no—
1679C22—42no—
1680C22—42no—
1681C22—42no—
1682C22—42no—
1683C22—42no—
1684C22—44no—
1685C22—44no—
1686C22—44no—
1687C22—44no—
1688C22—44no—
1689C22—44no—
1690C22—816no—
1691C22—88no—
1692C22—164no—
1693C22—168no—
1694C22#348514yes—
1695C22#348514yes—
1696C22C24×D411yescharacteristic
1697C22C2×#58512yes—
1698C22C2×#58512yes—
1699C22H(7,𝔽2)12yes—
1700C4—22no—
1701C4—22no—
1702C4—22no—
1703C4—22no—
1704C4—24no—
1705C4—24no—
1706C4—42no—
1707C4—42no—
1708C4—42no—
1709C4—42no—
1710C4—42no—
1711C4—42no—
1712C4—44no—
1713C4—42no—
1714C4—44no—
1715C4—42no—
1716C4—42no—
1717C4—44no—
1718C4—44no—
1719C4—44no—
1720C4—44no—
1721C2—24no—
1722C2—24no—
1723C2—42no—
1724C2—44no—
1725C2—44no—
1726C2—82no—
1727C2—82no—
1728C2—82no—
1729C2C2×#348511yescharacteristic
1730C2C2×#348511yescharacteristic
1731C2#6285211yescharacteristic
1732C2#6296314yes—
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×#3534C2semidirect
2. C22×#553C2semidirect
3. #50174C2semidirect
4. #48825C2semidirect
5. #48821C2semidirect
6. #48784C2semidirect
7. #44446C2semidirect
8. #44082C2semidirect
9. #43530C2semidirect
10. #43526C2semidirect
11. #43495C2semidirect
12. #43491C2semidirect
13. #38913C2semidirect
14. #38901C2semidirect
15. #38039C2semidirect
16. #38036C2semidirect
17. #38023C2semidirect
18. #38020C2semidirect
19. #37120C2semidirect
20. #37117C2semidirect
21. #36237C2semidirect
22. #36236C2semidirect
23. #35227C2semidirect
24. #35094C2semidirect
25. #35063C2semidirect
26. #35062C2semidirect
27. #34983C2semidirect
28. C2×#2623C2semidirect
29. #34358C2semidirect
31. C2×#562C22semidirect
32. C2×#560C22semidirect
35. C2×#553C22semidirect
36. C2×#553C22semidirect
37. C2×#553C22semidirect
38. C2×#553C22semidirect
39. C2×#553C22semidirect
40. C2×#553C22semidirect
44. C2×#546C22semidirect
46. C2×#540C22semidirect
48. C2×#539C22semidirect
49. C2×#538C22semidirect
50. C2×#538C22semidirect
51. C2×#537C22semidirect
53. C2×#534C22semidirect
54. C22×#126C22semidirect
55. C22×#125C22semidirect
58. C22×#123C22semidirect
60. C22×#121C22semidirect
61. C22×#121C22semidirect
62. C22×C4×D4C22semidirect
63. C22×C4×D4C22semidirect
64. C22×C4×D4C22semidirect
65. C22×#117C22semidirect
66. C23×C4⋊C4C22semidirect
67. #2855C22semidirect
69. #2853C22semidirect
70. #2853C22semidirect
72. #2849C22semidirect
73. #2849C22semidirect
74. #2849C22semidirect
75. #2849C22semidirect
76. #2849C22semidirect
77. #2722C22semidirect
78. #2721C22semidirect
79. #2721C22semidirect
80. #2719C22semidirect
81. #2719C22semidirect
82. #2718C22semidirect
83. #2718C22semidirect
84. #2718C22semidirect
85. #2715C22semidirect
86. #2710C22semidirect
87. #2710C22semidirect
88. #2708C22semidirect
89. #2708C22semidirect
90. #2706C22semidirect
91. #2706C22semidirect
92. #2703C22semidirect
93. #2703C22semidirect
94. #2701C22semidirect
95. #2699C22semidirect
96. #2698C22semidirect
97. #2695C22semidirect
98. #2694C22semidirect
99. #2694C22semidirect
100. #2691C22semidirect
101. #2690C22semidirect
102. #2690C22semidirect
103. #2689C22semidirect
104. #2688C22semidirect
105. #2688C22semidirect
106. #2688C22semidirect
107. #2686C22semidirect
108. #2685C22semidirect
109. #2682C22semidirect
110. #2678C22semidirect
111. #2673C22semidirect
112. #2671C22semidirect
113. #2671C22semidirect
114. #2671C22semidirect
115. #2668C22semidirect
116. #2668C22semidirect
117. #2638C22semidirect
118. #2635C22semidirect
119. #2630C22semidirect
120. #2626C22semidirect
121. #2623C22semidirect
122. #2623C22semidirect
123. #2623C22semidirect
124. #2623C22semidirect
125. #2623C22semidirect
126. #2623C22semidirect
127. #2623C22semidirect
128. #2623C22semidirect
130. #2622C22semidirect
132. #2602C22semidirect
133. #2600C22semidirect
135. #2583C22semidirect
136. #2579C22semidirect
137. #2579C22semidirect
138. #2579C22semidirect
139. #2564C22semidirect
140. #2559C22semidirect
141. #2553C22semidirect
142. #2543C22semidirect
143. #2543C22semidirect
144. #2539C22semidirect
145. #2534C22semidirect
146. #2521C22semidirect
148. #2504C22semidirect
149. #2503C22semidirect
150. #2502C22semidirect
151. #2502C22semidirect
152. #2501C22semidirect
153. #2501C22semidirect
154. #2496C22semidirect
155. #2488C22semidirect
156. #2488C22semidirect
157. #2487C22semidirect
158. #2487C22semidirect
159. #2487C22semidirect
160. #2486C22semidirect
161. #2484C22semidirect
162. #2483C22semidirect
163. #2483C22semidirect
164. #2482C22semidirect
165. #2480C22semidirect
166. #2479C22semidirect
167. #2479C22semidirect
168. #2478C22semidirect
169. #2477C22semidirect
170. #2477C22semidirect
171. #2475C22semidirect
172. #2475C22semidirect
173. #2471C22semidirect
174. #2471C22semidirect
175. #2468C22semidirect
176. #2466C22semidirect
177. #2447C22semidirect
178. #2445C22semidirect
179. #2444C22semidirect
180. #2444C22semidirect
181. #2444C22semidirect
182. #2444C22semidirect
183. #2444C22semidirect
184. #2443C22semidirect
185. #2443C22semidirect
186. #2443C22semidirect
187. #2443C22semidirect
188. #2443C22semidirect
189. #2430C22semidirect
190. #2425C22semidirect
191. #2425C22semidirect
192. #2425C22semidirect
193. #2424C22semidirect
194. #2422C22semidirect
195. #2420C22semidirect
196. #2419C22semidirect
197. #2419C22semidirect
198. #2419C22semidirect
199. #2419C22semidirect
200. #2418C22semidirect
201. #2418C22semidirect
202. #2418C22semidirect
203. #2418C22semidirect
204. #2416C22semidirect
205. #2413C22semidirect
206. #2413C22semidirect
208. #2412C22semidirect
209. #2412C22semidirect
210. #2412C22semidirect
211. #2411C22semidirect
213. #2410C22semidirect
214. #2410C22semidirect
215. #2410C22semidirect
216. #2406C22semidirect
218. #2405C22semidirect
219. #2405C22semidirect
220. #2405C22semidirect
221. #2404C22semidirect
223. #2403C22semidirect
224. C2×#400C22semidirect
225. C2×#399C22semidirect
226. C2×#398C22semidirect
227. C2×#397C22semidirect
228. #2377C22semidirect
229. #2377C22semidirect
230. #2364C22semidirect
231. #2364C22semidirect
232. #2349C22semidirect
233. D4×C4⋊C4C22semidirect
234. #2342C22semidirect
235. #2342C22semidirect
236. #2339C22semidirect
237. D4×C22⋊C4C22semidirect
238. D4×C22⋊C4C22semidirect
239. D4×C22⋊C4C22semidirect
240. #2333C22semidirect
241. #2325C22semidirect
242. #2325C22semidirect
243. #2322C22semidirect
244. #2321C22semidirect
245. #2321C22semidirect
246. #2321C22semidirect
247. #2317C22semidirect
248. #2315C22semidirect
249. #2313C22semidirect
250. #2311C22semidirect
251. #2308C22semidirect
252. #2308C22semidirect
253. C4×#123C22semidirect
254. C4×#123C22semidirect
256. C2×#386C22semidirect
257. C2×#385C22semidirect
258. C2×#385C22semidirect
259. #2280C22semidirect
260. C2×#381C22semidirect
353. C2×#121D4semidirect

Maximal subgroups

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

subgroupindex
C2×#35342
C22×#5532
#501742
#488252
#488212
#487842
#444462
#440822
#435302
#435262
#434952
#434912
#389132
#389012
#380392
#380362
#380232
#380202
#371202
#371172
#362372
#362362
#352272
#350942
#350632
#350622
#349832
C2×#26232
#343582