Finite Group Databasebeta

← #7711389

Subgroups — #7711389

Order 512.

7012 conjugacy classes of subgroups.

The subgroup lattice has 1726 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3535C211yesmaximal, characteristic, complemented
2C22×#529C211yesmaximal, characteristic, complemented
3#59077C214yesmaximal, complemented
4#59048C214yesmaximal, complemented
5#45767C214yesmaximal, complemented
6#45766C214yesmaximal, complemented
7#38047C212yesmaximal, complemented
8#38039C212yesmaximal, complemented
9#38031C212yesmaximal, complemented
10#38023C212yesmaximal, complemented
11#37771C212yesmaximal, complemented
12#37770C212yesmaximal, complemented
13#37755C212yesmaximal, complemented
14#37754C212yesmaximal, complemented
15#37743C214yesmaximal, complemented
16#37741C214yesmaximal, complemented
17#37446C211yesmaximal, characteristic, complemented
18#37440C211yesmaximal, characteristic, complemented
19#37187C212yesmaximal, complemented
20#37120C212yesmaximal, complemented
21#36626C211yesmaximal, characteristic, complemented
22C2×#2853C211yesmaximal, characteristic, complemented
23#36427C212yesmaximal, complemented
24#36426C212yesmaximal, complemented
25#36317C212yesmaximal, complemented
26#36316C212yesmaximal, complemented
27#35182C212yesmaximal, complemented
28#34987C212yesmaximal, complemented
29#34359C211yesmaximal, characteristic, complemented
30#3535—216no—
31C2×#563C2212yescomplemented
32C2×#562C2212yescomplemented
33C2×#554C2212yescomplemented
34C2×#552C2212yes—
35C2×#551C2212yes—
36C2×#551C2212yescomplemented
37C2×#547C2212yes—
38C2×#546C2212yes—
39C2×#544C2211yescharacteristic, complemented
40C2×#543C2211yescharacteristic, complemented
41C2×#542C2212yescomplemented
42C2×#539C2212yes—
43C2×#539C2212yescomplemented
44C2×#539C2211yescharacteristic, complemented
45C2×#538C2211yescharacteristic, complemented
46C2×#536C2212yes—
47C2×#529—216no—
48C2×#529C2212yes—
49C2×#529C2212yes—
50C2×#529C2214yes—
51C2×#529C2212yescomplemented
52C2×#529C2212yescomplemented
53C2×#529C2214yescomplemented
54C22×#126C2212yescomplemented
55C22×#125C2211yescharacteristic, complemented
56C22×#124C2211yescharacteristic, complemented
57C2×#525C2211yescharacteristic
58C22×#123C2211yescharacteristic
59C22×#123C2212yes—
60C22×C22⋊Q8C2211yescharacteristic
61C22×#121C2211yescharacteristic
62C22×C4×Q8C2211yescharacteristic, complemented
63C22×C4×D4C2212yes—
64C22×C4×D4C2211yescharacteristic, complemented
65C22×#117C2212yescomplemented
66C23×C42C2211yescharacteristic
67#2855C2212yescomplemented
68#2855C2212yescomplemented
69#2854C2212yescomplemented
70#2854C2212yescomplemented
71#2853C2212yes—
72#2853C2212yes—
73#2853C2212yes—
74#2853C2212yes—
75#2853C2212yes—
76#2853C2212yescomplemented
77#2853C2214yescomplemented
78#2853C2214yescomplemented
79#2853C2212yescomplemented
80#2853C2212yescomplemented
81#2849C2212yes—
82#2849C2212yes—
83#2848C2212yescomplemented
84#2847C2212yes—
85#2816C2212yescomplemented
86#2815C2212yescomplemented
87#2813C2214yes—
88#2733C2214yescomplemented
89#2733C2214yescomplemented
90#2731C2214yescomplemented
91#2731C2214yescomplemented
92#2730C2214yescomplemented
93#2730C2214yescomplemented
94#2730C2214yescomplemented
95#2730C2214yescomplemented
96#2727C2214yescomplemented
97#2725C2214yescomplemented
98#2723C2214yescomplemented
99#2721C2214yescomplemented
100#2721C2214yescomplemented
101#2721C2214yescomplemented
102#2719C2214yescomplemented
103#2719C2214yescomplemented
104#2718C2214yescomplemented
105#2718C2214yescomplemented
106#2716C2214yescomplemented
107#2714C2214yescomplemented
108#2710C2214yescomplemented
109#2710C2214yescomplemented
110#2706C2214yescomplemented
111#2706C2214yescomplemented
112#2705C2214yescomplemented
113#2703C2214yescomplemented
114#2703C2214yescomplemented
115#2702C2214yescomplemented
116#2694C2214yescomplemented
117#2694C2214yescomplemented
118#2690C2214yescomplemented
119#2690C2214yescomplemented
120#2661C2214yes—
121#2656C2212yes—
122#2639C2212yes—
123#2635C2214yescomplemented
124#2626C2212yescomplemented
125#2623C2212yes—
126#2623C2212yes—
127#2623C2212yescomplemented
128#2623C2212yescomplemented
129#2618C2212yes—
130#2617C2212yes—
131#2617C2212yes—
132#2613C2212yes—
133#2613C2212yescomplemented
134#2591C2212yes—
135#2591C2212yes—
136#2583C2212yescomplemented
137#2579C2212yes—
138#2579C2212yescomplemented
139#2560C2214yescomplemented
140#2554C2214yescomplemented
141#2543C2214yes—
142#2539C2212yes—
143#2539C2214yescomplemented
144#2519C2214yescomplemented
145#2512C2214yescomplemented
146#2504C2212yes—
147#2502C2212yescomplemented
148#2501C2214yescomplemented
149#2488C2214yescomplemented
150#2488C2214yescomplemented
151#2487C2212yes—
152#2487C2212yescomplemented
153#2482C2212yescomplemented
154#2482C2212yescomplemented
155#2482C2212yescomplemented
156#2481C2214yescomplemented
157#2479C2214yescomplemented
158#2479C2214yescomplemented
159#2479C2214yescomplemented
160#2477C2214yescomplemented
161#2477C2214yescomplemented
162#2475C2214yescomplemented
163#2475C2214yescomplemented
164#2471C2214yescomplemented
165#2471C2214yescomplemented
166#2469C2214yescomplemented
167#2468C2214yescomplemented
168#2467C2214yescomplemented
169#2467C2214yescomplemented
170#2467C2214yescomplemented
171#2466C2214yescomplemented
172#2464C2214yescomplemented
173#2463C2214yescomplemented
174#2463C2214yescomplemented
175#2461C2214yescomplemented
176#2460C2214yescomplemented
177#2460C2214yescomplemented
178#2459C2214yescomplemented
179#2457C2214yescomplemented
180#2456C2214yescomplemented
181#2456C2214yescomplemented
182#2456C2214yescomplemented
183#2455C2214yescomplemented
184#2450C2214yescomplemented
185#2449C2214yescomplemented
186#2448C2214yescomplemented
187#2448C2214yescomplemented
188#2446C2214yescomplemented
189#2446C2214yescomplemented
190#2441C2214yescomplemented
191#2439C2214yescomplemented
192#2425C2214yescomplemented
193#2425C2214yescomplemented
194#2425C2214yescomplemented
195#2424C2214yescomplemented
196#2423C2214yescomplemented
197#2423C2214yescomplemented
198#2421C2214yescomplemented
199#2421C2214yescomplemented
200#2415C2214yescomplemented
201#2414C2214yescomplemented
202#2413C2214yescomplemented
203#2412C2214yescomplemented
204#2411C2212yes—
205#2411C2212yes—
206#2411C2212yes—
207#2411C2212yes—
208#2411C2212yescomplemented
209#2411C2212yescomplemented
210#2410C2212yes—
211#2410C2212yes—
212#2405C2212yes—
213#2404C2212yes—
214#2404C2212yes—
215#2404C2212yescomplemented
216#2403C2212yes—
217#2378C2214yescomplemented
218#2368C2214yescomplemented
219#2364C2214yescomplemented
220#2363C2214yescomplemented
221#2362C2214yescomplemented
222#2361C2214yescomplemented
223#2359C2214yescomplemented
224#2358C2214yescomplemented
225#2354C2214yescomplemented
226#2352C2214yescomplemented
227#2344C2212yescomplemented
228#2344C2212yescomplemented
229#2342C2212yes—
230#2342C2212yes—
231#2332C2212yescomplemented
232#2332C2212yescomplemented
233#2329C2212yescomplemented
234#2329C2212yescomplemented
235#2321C2212yes—
236#2321C2212yescomplemented
237#2317C2212yescomplemented
238#2313C2212yescomplemented
239#2311C2212yes—
240#2310C2212yescomplemented
241C4×#123C2214yescomplemented
242C4×#123C2214yescomplemented
243C4×#120C2212yes—
244C4×#120C2212yescomplemented
245#2297C2212yes—
246#2297C2211yescharacteristic, complemented
247#2297C2211yescharacteristic, complemented
248#2296C2211yescharacteristic, complemented
249#2296C2211yescharacteristic, complemented
250#2296C2212yescomplemented
251C2×#388C2212yescomplemented
252C2×#388C2212yescomplemented
253C2×#387C2212yescomplemented
254C2×#387C2212yescomplemented
255C2×#386C2211yescharacteristic
256C2×#386C2211yescharacteristic
257C2×#385C2211yescharacteristic
258C2×#385C2211yescharacteristic
259#2280C2211yescharacteristic
260C2×#381C2211yescharacteristic
261C22×#41C2312yes—
262C22×#41C2311yescharacteristic
263C23×Q8C2311yescharacteristic
264C23×D4C2311yescharacteristic
265C23×D4C2312yes—
266C23×D4C2311yescharacteristic
267C24×C4C2312yes—
268C24×C4C2311yescharacteristic
269C24×C4C2311yescharacteristic
270C24×C4C2311yescharacteristic
271#563—216no—
272#562—216no—
273#554—216no—
274#552—216no—
275#551—216no—
276#551—216no—
277#547—216no—
278#546—216no—
279#544—28no—
280#543—28no—
281#542—216no—
282#539—28no—
283#539—216no—
284#539—216no—
285#538—28no—
286#536—216no—
287C2×C4⋊Q8C2312yes—
288C2×C4⋊Q8C2312yes—
289C2×C4⋊Q8C2312yes—
290#529—216no—
291#529—216no—
292#529—232no—
293#529—216no—
294#529—216no—
295#529—232no—
296C2×#126—216no—
297C2×#126C2314yes—
298C2×#126C2314yes—
299C2×#126C2314yes—
300C2×#126C2314yes—
301C2×#126C2312yes—
302C2×#126C2312yes—
303C2×#126C2312yes—
304C2×#126C2312yes—
305C2×#126C2312yes—
306C2×#126C2312yes—
307C2×#125—28no—
308C2×#125C2312yes—
309C2×#125C2314yes—
310C2×#125C2312yes—
311C2×#125C2312yes—
312C2×#125C2312yes—
313C2×#125C2312yes—
314C2×#125C2312yes—
315C2×#125C2312yes—
316C2×#124—28no—
317C2×#124C2312yes—
318C2×#124C2314yes—
319C2×#124C2312yes—
320C2×#124C2312yes—
321C2×#124C2312yes—
322C2×#124C2312yes—
323C2×#124C2312yes—
324#525—28no—
325C2×#123—28no—
326C2×#123—216no—
327C2×#123C2312yes—
328C2×#123C2312yes—
329C2×#123C2312yes—
330C2×#123C2312yes—
331C2×#123C2312yes—
332C2×#123C2312yes—
333C2×#123C2312yes—
334C2×#123C2314yes—
335C2×#123C2314yes—
336C2×#123C2314yes—
337C2×#123C2314yes—
338C2×#123C2312yes—
339C2×#123C2312yes—
340C2×#123C2312yes—
341C2×#123C2312yes—
342C2×#123C2312yes—
343C2×#123C2312yes—
344C2×#123C2312yes—
345C2×#123C2314yes—
346C2×#123C2314yes—
347C2×#123C2314yes—
348C2×C22⋊Q8D4116yescomplemented
349C2×C22⋊Q8C2312yes—
350C2×C22⋊Q8C2311yescharacteristic
351C2×C22⋊Q8C2312yes—
352C2×C22⋊Q8C2311yescharacteristic
353C2×C22⋊Q8C2312yes—
354C2×C22⋊Q8C2312yes—
355C2×C22⋊Q8C2312yes—
356C2×C22⋊Q8C2312yes—
357C2×C22⋊Q8C2312yes—
358C2×C22⋊Q8C2312yes—
359C2×C22⋊Q8C2312yes—
360C2×C22⋊Q8C2312yes—
361C2×C22⋊Q8C2312yes—
362C2×C22⋊Q8C2312yes—
363C2×C22⋊Q8C2314yes—
364C2×C22⋊Q8C2311yescharacteristic
365C2×C22⋊Q8C2311yescharacteristic
366C2×C22⋊Q8C2311yescharacteristic
367C2×C22⋊Q8C2311yescharacteristic
368C2×C22⋊Q8C2312yes—
369C2×C22⋊Q8C2312yes—
370C2×#121—28no—
371C2×#121C2312yes—
372C2×#121C2312yes—
373C2×#121C2312yes—
374C2×#121C2311yescharacteristic
375C2×#121C2311yescharacteristic
376C2×#121C2312yes—
377C2×#121C2312yes—
378C2×#121C2312yes—
379C2×#121C2312yes—
380C2×#121C2312yes—
381C2×#121C2314yes—
382C2×#121C2314yes—
383C2×#121C2314yes—
384C2×#120C2312yes—
385C2×#120C2312yes—
386C2×#120C2312yes—
387C2×#120C2312yes—
388C2×#120C2312yes—
389C2×#120C2312yes—
390C2×#120C2314yes—
391C2×C4×Q8—28no—
392C2×C4×Q8C2312yes—
393C2×C4×Q8C2312yes—
394C2×C4×Q8C2314yes—
395C2×C4×Q8C2312yes—
396C2×C4×D4—28no—
397C2×C4×D4—216no—
398C2×C4×D4C2312yes—
399C2×C4×D4C2312yes—
400C2×C4×D4C2314yes—
401C2×C4×D4C2314yes—
402C2×C4×D4C2312yes—
403C2×C4×D4C2312yes—
404C2×C4×D4C2312yes—
405C2×C4×D4C2312yes—
406C2×C4×D4C2314yes—
407C2×C4×D4C2314yes—
408C2×C4×D4C2312yes—
409C2×C4×D4C2314yes—
410C2×C4×D4C2312yes—
411C2×C4×D4C2312yes—
412C2×C4×D4C2314yes—
413C2×C4×D4C2314yes—
414C2×#117—216no—
415C2×#117C2312yes—
416C2×#117C2314yes—
417C2×#117C2312yes—
418C2×#117C2314yes—
419C2×#117C2312yes—
420C2×#117C2314yes—
421C2×#117C2314yes—
422C2×#117C2311yescharacteristic
423C2×#117C2312yes—
424C2×#117C2312yes—
425C2×#117C2311yescharacteristic
426C2×#117C2311yescharacteristic
427C22×C4⋊C4C2312yes—
428C22×C4⋊C4C2312yes—
429C22×C4⋊C4C2311yescharacteristic
430C22×C4⋊C4C2312yes—
431C22×C4⋊C4C2311yescharacteristic
432C22×C4⋊C4C2311yescharacteristic
433C22×C4⋊C4C2312yes—
434C22×C4⋊C4C2312yes—
435C22×C4⋊C4C2312yes—
436C22×C4⋊C4C2311yescharacteristic
437C22×C4⋊C4C2312yes—
438C22×C22⋊C4C2312yes—
439C22×C22⋊C4C2312yes—
440C22×C22⋊C4C2311yescharacteristic
441C22×C22⋊C4C2312yes—
442C22×C22⋊C4C2312yes—
443C22×C22⋊C4C2312yes—
444C22×C22⋊C4C2311yescharacteristic
445C22×C22⋊C4C2311yescharacteristic
446C22×C22⋊C4C2311yescharacteristic
447C22×C22⋊C4C2311yescharacteristic
448C22×C22⋊C4C2312yes—
449C22×C22⋊C4C2312yes—
450C22×C22⋊C4C2312yes—
451C22×C42—28no—
452C22×C42C2311yescharacteristic
453C22×C42C2311yescharacteristic
454C22×C42C2311yescharacteristic
455C22×C42C2311yescharacteristic
456C22×C42C2312yes—
457C22×C42C2312yes—
458C22×C42C2312yes—
459C22×C42C2312yes—
460C22×C42C2312yes—
461#400C2314yes—
462#400C2314yes—
463#400C2314yes—
464#400C2314yes—
465#400C2314yes—
466#400C2314yes—
467#400C2314yes—
468#399C2314yes—
469#399C2314yes—
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#398C2314yes—
487#397C2314yes—
488#397C2314yes—
489#397C2314yes—
490#397C2314yes—
491#397C2314yes—
492#397C2314yes—
493#397C2314yes—
494#397C2314yes—
495#397C2314yes—
496#397C2314yes—
497#396C2314yes—
498#396C2314yes—
499#396C2314yes—
500#396C2314yes—
501#396C2314yes—
502#396C2314yes—
503#396C2314yes—
504#396C2314yes—
505#396C2314yes—
506#396C2314yes—
507#395C2314yes—
508#394C2314yes—
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#393C2314yes—
526#393C2314yes—
527#393C2314yes—
528#393C2314yes—
529#392C2314yes—
530#392C2314yes—
531#392C2314yes—
532#392C2314yes—
533#392C2314yes—
534#392C2314yes—
535#392C2314yes—
536#392C2314yes—
537#392C2314yes—
538#392C2314yes—
539#392C2314yes—
540#392C2314yes—
541#391C2314yes—
542#391C2314yes—
543#391C2314yes—
544#391C2314yes—
545#391C2314yes—
546#391C2312yes—
547#391C2312yes—
548#391C2314yes—
549#391C2314yes—
550#390C2314yes—
551#390C2314yes—
552#390C2314yes—
553#390C2314yes—
554#390C2312yes—
555#390C2312yes—
556#390C2314yes—
557#390C2314yes—
558#390C2314yes—
559#390C2314yes—
560#390C2314yes—
561#390C2314yes—
562#390C2314yes—
563#389C2314yes—
564#389C2314yes—
565#389C2314yes—
566#389C2314yes—
567#389C2314yes—
568#389C2314yes—
569#389C2312yes—
570#389C2312yes—
571#389C2312yes—
572#389C2312yes—
573#389C2314yes—
574#389C2314yes—
575#389C2314yes—
576#389C2314yes—
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#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#387C2314yes—
616#387C2314yes—
617#387C2314yes—
618#387C2314yes—
619#387C2314yes—
620#387C2314yes—
621#387C2314yes—
622#387C2314yes—
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#387C2314yes—
638#387C2314yes—
639#387C2314yes—
640#387C2314yes—
641#386C2314yes—
642#386C2312yes—
643#386C2312yes—
644#386C2312yes—
645#386C2312yes—
646#386C2314yes—
647#386C2314yes—
648#386C2312yes—
649#386C2312yes—
650#386C2312yes—
651#386C2314yes—
652#386C2314yes—
653#386C2312yes—
654#386C2312yes—
655#386C2312yes—
656#386C2314yes—
657#386C2314yes—
658#386C2312yes—
659#386C2314yes—
660#386C2314yes—
661#386C2312yes—
662#386C2314yes—
663#386C2314yes—
664#386C2314yes—
665#386C2314yes—
666#386C2314yes—
667#386C2314yes—
668#386C2314yes—
669#386C2314yes—
670#386C2314yes—
671#386C2314yes—
672#386C2314yes—
673#385C2312yes—
674#385C2312yes—
675#385C2312yes—
676#385C2312yes—
677#385C2312yes—
678#385C2314yes—
679#385C2312yes—
680#385C2314yes—
681#385C2312yes—
682#385C2312yes—
683#385C2314yes—
684#385C2314yes—
685#385C2312yes—
686#385C2312yes—
687#385C2314yes—
688#385C2314yes—
689#385C2312yes—
690#385C2314yes—
691#385C2314yes—
692#385C2312yes—
693#385C2314yes—
694#385C2314yes—
695#385C2314yes—
696#385C2314yes—
697#384C2314yes—
698#384C2314yes—
699#382C2314yes—
700#382C2314yes—
701#381C2312yes—
702#381C2312yes—
703#381C2312yes—
704#381C2312yes—
705#381C2312yes—
706#381C2312yes—
707#381C2314yes—
708#381C2314yes—
709#381C2312yes—
710#380C2314yes—
711#380C2314yes—
712#380C2312yes—
713#380C2312yes—
714#380C2312yes—
715#380C2314yes—
716#380C2314yes—
717#380C2312yes—
718#380C2314yes—
719#380C2314yes—
720#379C2312yes—
721#379C2312yes—
722#379C2312yes—
723#379C2312yes—
724#379C2312yes—
725C4×C4⋊C4C2314yes—
726C4×C4⋊C4C2314yes—
727C4×C4⋊C4C2314yes—
728C4×C4⋊C4C2314yes—
729C4×C4⋊C4C2314yes—
730C4×C4⋊C4C2314yes—
731C4×C22⋊C4C2314yes—
732C4×C22⋊C4C2312yes—
733C4×C22⋊C4C2312yes—
734C4×C22⋊C4C2314yes—
735C4×C22⋊C4C2314yes—
736C4×C22⋊C4C2312yes—
737C4×C22⋊C4C2312yes—
738C4×C22⋊C4C2314yes—
739C4×C22⋊C4C2314yes—
740C4×C22⋊C4C2314yes—
741C4×C22⋊C4C2314yes—
742C4×C22⋊C4C2314yes—
743C2×#95C2312yes—
744C2×#95C2312yes—
745C2×#95C2312yes—
746C2×#95C2312yes—
747C2×#95C2312yes—
748C2×#95C2312yes—
749C25C2411yescharacteristic
750C25C2411yescharacteristic
751C25C2412yes—
752C2×#41—24no—
753C2×#41—28no—
754C2×#41—42no—
755C2×#41—42no—
756C2×#41—44no—
757C2×#41—44no—
758C22×Q8—42no—
759C22×Q8—42no—
760C22×Q8C2×D418yes—
761C22×Q8C2412yes—
762C22×Q8C2411yescharacteristic
763C22×Q8C2412yes—
764C22×Q8C2411yescharacteristic
765C22×Q8C2412yes—
766C22×Q8C2411yescharacteristic
767C22×D4—28no—
768C22×D4—24no—
769C22×D4—24no—
770C22×D4—42no—
771C22×D4—42no—
772C22×D4—48no—
773C22×D4—42no—
774C22×D4—42no—
775C22×D4C2412yes—
776C22×D4C2414yes—
777C22×D4C2412yes—
778C22×D4C2412yes—
779C22×D4C2414yes—
780C22×D4C2412yes—
781C22×D4C2412yes—
782C22×D4C2412yes—
783C22×D4C2412yes—
784C22×D4C2412yes—
785C22×D4C2411yescharacteristic
786C22×D4C2412yes—
787C22×D4C2414yes—
788C22×D4C2414yes—
789C22×D4C2414yes—
790C22×D4C2414yes—
791C23×C4—24no—
792C23×C4—24no—
793C23×C4—28no—
794C23×C4—44no—
795C23×C4—48no—
796C23×C4—42no—
797C23×C4—42no—
798C23×C4—44no—
799C23×C4C2×D418yes—
800C23×C4C2411yescharacteristic
801C23×C4C2412yes—
802C23×C4C2411yescharacteristic
803C23×C4C2412yes—
804C23×C4C2414yes—
805C23×C4C2414yes—
806C23×C4C2412yes—
807C23×C4C2412yes—
808C23×C4C2411yescharacteristic
809C23×C4C2411yescharacteristic
810C23×C4C2411yescharacteristic
811C23×C4C2411yescharacteristic
812C23×C4C2411yescharacteristic
813C23×C4C2411yescharacteristic
814C23×C4C2412yes—
815C23×C4C2412yes—
816C23×C4C2412yes—
817C23×C4C2412yes—
818C23×C4C2412yes—
819C23×C4C2411yescharacteristic
820C23×C4C2412yes—
821C23×C4C2412yes—
822C23×C4C2412yes—
823C23×C4C2412yes—
824C23×C4C2412yes—
825C23×C4C2411yescharacteristic
826C23×C4C2411yescharacteristic
827C23×C4C2411yescharacteristic
828C23×C4C2411yescharacteristic
829C4⋊Q8—28no—
830C4⋊Q8—28no—
831C4⋊Q8—28no—
832#126—216no—
833#126—216no—
834#126—216no—
835#126—216no—
836#126—28no—
837#126—28no—
838#126—28no—
839#126—28no—
840#126—28no—
841#126—28no—
842#125—28no—
843#125—216no—
844#125—28no—
845#125—28no—
846#125—28no—
847#125—28no—
848#125—28no—
849#125—28no—
850#124—28no—
851#124—216no—
852#124—28no—
853#124—28no—
854#124—28no—
855#124—28no—
856#124—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—28no—
868#123—216no—
869#123—216no—
870#123—216no—
871#123—216no—
872#123—28no—
873#123—28no—
874#123—28no—
875#123—48no—
876#123—48no—
877#123—48no—
878C22⋊Q8—28no—
879C22⋊Q8—28no—
880C22⋊Q8—28no—
881C22⋊Q8—28no—
882C22⋊Q8—24no—
883C22⋊Q8—24no—
884C22⋊Q8—28no—
885C22⋊Q8—28no—
886C22⋊Q8—28no—
887C22⋊Q8—28no—
888C22⋊Q8—28no—
889C22⋊Q8—28no—
890C22⋊Q8—28no—
891C22⋊Q8—28no—
892C22⋊Q8—48no—
893C22⋊Q8C2×D418yes—
894C22⋊Q8C2×D418yes—
895C22⋊Q8C2×D418yes—
896C22⋊Q8C2×D418yes—
897C22⋊Q8C2×D4116yes—
898C22⋊Q8C2×D4116yes—
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—48no—
912#120—28no—
913#120—28no—
914#120—44no—
915#120—44no—
916#120—44no—
917#120—44no—
918#120—48no—
919C4×Q8—28no—
920C4×Q8—216no—
921C4×Q8—28no—
922C4×Q8—28no—
923C4×D4—28no—
924C4×D4—28no—
925C4×D4—28no—
926C4×D4—28no—
927C4×D4—28no—
928C4×D4—216no—
929C4×D4—28no—
930C4×D4—28no—
931C4×D4—216no—
932C4×D4—216no—
933C4×D4—216no—
934C4×D4—216no—
935C4×D4—28no—
936C4×D4—28no—
937C4×D4—48no—
938C4×D4—48no—
939#117—24no—
940#117—28no—
941#117—216no—
942#117—216no—
943#117—216no—
944#117—216no—
945#117—28no—
946#117—28no—
947#117—44no—
948#117—44no—
949#117—42no—
950#117—42no—
951C2×C4⋊C4—28no—
952C2×C4⋊C4—28no—
953C2×C4⋊C4—24no—
954C2×C4⋊C4—28no—
955C2×C4⋊C4—24no—
956C2×C4⋊C4—24no—
957C2×C4⋊C4—28no—
958C2×C4⋊C4—44no—
959C2×C4⋊C4—44no—
960C2×C4⋊C4C2×D4116yes—
961C2×C4⋊C4C2×D418yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2414yes—
964C2×C4⋊C4C2414yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2414yes—
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2414yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2411yescharacteristic
978C2×C4⋊C4C2411yescharacteristic
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2414yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2414yes—
993C2×C4⋊C4C2414yes—
994C2×C4⋊C4C2414yes—
995C2×C4⋊C4C2414yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2414yes—
999C2×C4⋊C4C2414yes—
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⋊C4C2412yes—
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2411yescharacteristic
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2411yescharacteristic
1015C2×C22⋊C4—24no—
1016C2×C22⋊C4—28no—
1017C2×C22⋊C4—28no—
1018C2×C22⋊C4—28no—
1019C2×C22⋊C4—28no—
1020C2×C22⋊C4—24no—
1021C2×C22⋊C4—24no—
1022C2×C22⋊C4—28no—
1023C2×C22⋊C4—44no—
1024C2×C22⋊C4—42no—
1025C2×C22⋊C4—42no—
1026C2×C22⋊C4—44no—
1027C2×C22⋊C4C2×D4116yes—
1028C2×C22⋊C4C2414yes—
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2414yes—
1031C2×C22⋊C4C2414yes—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2414yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2414yes—
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2412yes—
1061C2×C22⋊C4C2414yes—
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2414yes—
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2414yes—
1067C2×C22⋊C4C2414yes—
1068C2×C22⋊C4C2414yes—
1069C2×C22⋊C4C2414yes—
1070C2×C22⋊C4C2414yes—
1071C2×C22⋊C4C2414yes—
1072C2×C22⋊C4C2414yes—
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⋊C4C2412yes—
1088C2×C22⋊C4C2412yes—
1089C2×C22⋊C4C2412yes—
1090C2×C22⋊C4C2412yes—
1091C2×C42—24no—
1092C2×C42—28no—
1093C2×C42—24no—
1094C2×C42—24no—
1095C2×C42—24no—
1096C2×C42—28no—
1097C2×C42—28no—
1098C2×C42—28no—
1099C2×C42—28no—
1100C2×C42C2412yes—
1101C2×C42C2412yes—
1102C2×C42C2412yes—
1103C2×C42C2414yes—
1104C2×C42C2414yes—
1105C2×C42C2412yes—
1106C2×C42C2412yes—
1107C2×C42C2412yes—
1108C2×C42C2412yes—
1109C2×C42C2412yes—
1110C2×C42C2412yes—
1111C2×C42C2412yes—
1112C2×C42C2412yes—
1113C2×C42C2412yes—
1114C2×C42C2412yes—
1115C2×C42C2412yes—
1116C2×C42C2412yes—
1117C2×C42C2414yes—
1118C2×C42C2414yes—
1119C2×C42C2414yes—
1120C2×C42C2414yes—
1121#95C2414yes—
1122#95C2414yes—
1123#95C2414yes—
1124#95C2414yes—
1125#95C2414yes—
1126#95C2414yes—
1127#95C2414yes—
1128#95C2414yes—
1129#95C2414yes—
1130#95C2414yes—
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—
1159C24—22no—
1160C24—22no—
1161C24—24no—
1162C24—24no—
1163C24—22no—
1164C24—24no—
1165C24—24no—
1166C24—24no—
1167C24—42no—
1168C24—44no—
1169C24—44no—
1170C24—42no—
1171C24—41no—
1172C24—41no—
1173C24C22×D414yes—
1174C24C2512yes—
1175C24C2514yes—
1176C24C2512yes—
1177C24C2511yescharacteristic
1178C24C2511yescharacteristic
1179C24C2511yescharacteristic
1180#41—88no—
1181#41—816no—
1182C2×Q8—24no—
1183C2×Q8—22no—
1184C2×Q8—24no—
1185C2×Q8—416no—
1186C2×Q8—41no—
1187C2×Q8—42no—
1188C2×Q8—41no—
1189C2×Q8—42no—
1190C2×Q8—41no—
1191C2×Q8—41no—
1192C2×Q8—44no—
1193C2×Q8—42no—
1194C2×Q8—41no—
1195C2×Q8—41no—
1196C2×Q8—42no—
1197C2×Q8C22×D414yes—
1198C2×Q8C22×D418yes—
1199C2×Q8C22×D414yes—
1200C2×D4—24no—
1201C2×D4—28no—
1202C2×D4—28no—
1203C2×D4—24no—
1204C2×D4—24no—
1205C2×D4—28no—
1206C2×D4—24no—
1207C2×D4—24no—
1208C2×D4—24no—
1209C2×D4—24no—
1210C2×D4—28no—
1211C2×D4—28no—
1212C2×D4—24no—
1213C2×D4—24no—
1214C2×D4—24no—
1215C2×D4—24no—
1216C2×D4—24no—
1217C2×D4—24no—
1218C2×D4—22no—
1219C2×D4—42no—
1220C2×D4—42no—
1221C2×D4—42no—
1222C2×D4—42no—
1223C2×D4—44no—
1224C2×D4—44no—
1225C2×D4—416no—
1226C2×D4—44no—
1227C2×D4—44no—
1228C2×D4—44no—
1229C2×D4—44no—
1230C2×D4—44no—
1231C2×D4—44no—
1232C2×D4—44no—
1233C2×D4—44no—
1234C2×D4—42no—
1235C2×D4—42no—
1236C2×D4—42no—
1237C2×D4—41no—
1238C2×D4—41no—
1239C2×D4—42no—
1240C2×D4—44no—
1241C2×D4—44no—
1242C2×D4—44no—
1243C2×D4—44no—
1244C2×D4—44no—
1245C2×D4—44no—
1246C2×D4—432no—
1247C2×D4—88no—
1248C22×C4—22no—
1249C22×C4—22no—
1250C22×C4—22no—
1251C22×C4—24no—
1252C22×C4—24no—
1253C22×C4—22no—
1254C22×C4—22no—
1255C22×C4—24no—
1256C22×C4—22no—
1257C22×C4—22no—
1258C22×C4—22no—
1259C22×C4—24no—
1260C22×C4—24no—
1261C22×C4—24no—
1262C22×C4—24no—
1263C22×C4—24no—
1264C22×C4—22no—
1265C22×C4—24no—
1266C22×C4—24no—
1267C22×C4—24no—
1268C22×C4—22no—
1269C22×C4—22no—
1270C22×C4—24no—
1271C22×C4—24no—
1272C22×C4—28no—
1273C22×C4—28no—
1274C22×C4—24no—
1275C22×C4—28no—
1276C22×C4—28no—
1277C22×C4—24no—
1278C22×C4—24no—
1279C22×C4—24no—
1280C22×C4—24no—
1281C22×C4—24no—
1282C22×C4—24no—
1283C22×C4—416no—
1284C22×C4—41no—
1285C22×C4—41no—
1286C22×C4—41no—
1287C22×C4—41no—
1288C22×C4—44no—
1289C22×C4—44no—
1290C22×C4—44no—
1291C22×C4—41no—
1292C22×C4—41no—
1293C22×C4—41no—
1294C22×C4—41no—
1295C22×C4—42no—
1296C22×C4—42no—
1297C22×C4—42no—
1298C22×C4—42no—
1299C22×C4—42no—
1300C22×C4—42no—
1301C22×C4—42no—
1302C22×C4—44no—
1303C22×C4—42no—
1304C22×C4—42no—
1305C22×C4—42no—
1306C22×C4—42no—
1307C22×C4—42no—
1308C22×C4—44no—
1309C22×C4—44no—
1310C22×C4—41no—
1311C22×C4—41no—
1312C22×C4—42no—
1313C22×C4—42no—
1314C22×C4—42no—
1315C22×C4—42no—
1316C22×C4—42no—
1317C22×C4—42no—
1318C22×C4—432no—
1319C22×C4—416no—
1320C22×C4—416no—
1321C22×C4C22×D414yes—
1322C22×C4C22×D414yes—
1323C22×C4C22×D418yes—
1324C22×C4C22×D414yes—
1325C22×C4C22×D414yes—
1326C22×C4C22×D414yes—
1327C22×C4C22×D414yes—
1328C22×C4C22×D418yes—
1329C22×C4C2514yes—
1330C22×C4C2514yes—
1331C22×C4C2514yes—
1332C22×C4C2514yes—
1333C22×C4C2512yes—
1334C22×C4C2512yes—
1335C22×C4C2512yes—
1336C22×C4C2512yes—
1337C22×C4C2512yes—
1338C22×C4C2512yes—
1339C22×C4C2514yes—
1340C22×C4C2512yes—
1341C22×C4C2512yes—
1342C22×C4C2512yes—
1343C22×C4C2511yescharacteristic
1344C22×C4C2511yescharacteristic
1345C22×C4C2511yescharacteristic
1346C22×C4C2512yes—
1347C22×C4C2512yes—
1348C22×C4C2511yescharacteristic
1349C22×C4C2512yes—
1350C22×C4C2512yes—
1351C22×C4C2512yes—
1352C4⋊C4—24no—
1353C4⋊C4—28no—
1354C4⋊C4—28no—
1355C4⋊C4—28no—
1356C4⋊C4—28no—
1357C4⋊C4—24no—
1358C4⋊C4—24no—
1359C4⋊C4—28no—
1360C4⋊C4—28no—
1361C4⋊C4—24no—
1362C4⋊C4—24no—
1363C4⋊C4—24no—
1364C4⋊C4—24no—
1365C4⋊C4—24no—
1366C4⋊C4—22no—
1367C4⋊C4—22no—
1368C4⋊C4—24no—
1369C4⋊C4—24no—
1370C4⋊C4—24no—
1371C4⋊C4—24no—
1372C4⋊C4—24no—
1373C4⋊C4—24no—
1374C4⋊C4—24no—
1375C4⋊C4—24no—
1376C4⋊C4—24no—
1377C4⋊C4—24no—
1378C4⋊C4—24no—
1379C4⋊C4—24no—
1380C4⋊C4—28no—
1381C4⋊C4—28no—
1382C4⋊C4—44no—
1383C4⋊C4—44no—
1384C4⋊C4—44no—
1385C4⋊C4—42no—
1386C4⋊C4—42no—
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⋊C4C22×D418yes—
1399C4⋊C4C22×D418yes—
1400C4⋊C4C22×D418yes—
1401C4⋊C4C22×D418yes—
1402C4⋊C4C22×D414yes—
1403C4⋊C4C22×D418yes—
1404C4⋊C4C22×D414yes—
1405C22⋊C4—24no—
1406C22⋊C4—24no—
1407C22⋊C4—24no—
1408C22⋊C4—24no—
1409C22⋊C4—24no—
1410C22⋊C4—24no—
1411C22⋊C4—24no—
1412C22⋊C4—24no—
1413C22⋊C4—24no—
1414C22⋊C4—28no—
1415C22⋊C4—28no—
1416C22⋊C4—28no—
1417C22⋊C4—28no—
1418C22⋊C4—28no—
1419C22⋊C4—24no—
1420C22⋊C4—28no—
1421C22⋊C4—28no—
1422C22⋊C4—28no—
1423C22⋊C4—28no—
1424C22⋊C4—24no—
1425C22⋊C4—24no—
1426C22⋊C4—24no—
1427C22⋊C4—24no—
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—24no—
1437C22⋊C4—28no—
1438C22⋊C4—28no—
1439C22⋊C4—42no—
1440C22⋊C4—42no—
1441C22⋊C4—44no—
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⋊C4C22×D418yes—
1465C22⋊C4C22×D418yes—
1466C22⋊C4C22×D418yes—
1467C22⋊C4C22×D418yes—
1468C42—24no—
1469C42—24no—
1470C42—24no—
1471C42—24no—
1472C42—24no—
1473C42—24no—
1474C42—24no—
1475C42—24no—
1476C42—28no—
1477C42—28no—
1478C42—24no—
1479C42—24no—
1480C42—24no—
1481C42—24no—
1482C42—24no—
1483C42—42no—
1484C42—42no—
1485C42—44no—
1486C42—44no—
1487C42—44no—
1488C42—44no—
1489C23—22no—
1490C23—22no—
1491C23—21no—
1492C23—21no—
1493C23—22no—
1494C23—22no—
1495C23—21no—
1496C23—21no—
1497C23—22no—
1498C23—28no—
1499C23—28no—
1500C23—22no—
1501C23—24no—
1502C23—22no—
1503C23—24no—
1504C23—24no—
1505C23—24no—
1506C23—24no—
1507C23—24no—
1508C23—24no—
1509C23—24no—
1510C23—24no—
1511C23—24no—
1512C23—24no—
1513C23—22no—
1514C23—22no—
1515C23—22no—
1516C23—22no—
1517C23—44no—
1518C23—48no—
1519C23—48no—
1520C23—48no—
1521C23—48no—
1522C23—48no—
1523C23—44no—
1524C23—88no—
1525C23—88no—
1526C23—82no—
1527C23—84no—
1528C23—82no—
1529C23—84no—
1530C23C23×D412yes—
1531C23C23×D412yes—
1532C23C23×D412yes—
1533C23#58512yes—
1534C23#58512yes—
1535C23#58514yes—
1536C23C2611yescharacteristic
1537Q8—44no—
1538Q8—48no—
1539Q8—44no—
1540Q8—84no—
1541Q8—82no—
1542Q8—84no—
1543D4—48no—
1544D4—48no—
1545D4—416no—
1546D4—48no—
1547D4—48no—
1548D4—48no—
1549D4—416no—
1550D4—84no—
1551D4—82no—
1552D4—84no—
1553D4—84no—
1554D4—84no—
1555D4—88no—
1556D4—88no—
1557D4—164no—
1558D4—164no—
1559C2×C4—28no—
1560C2×C4—22no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—22no—
1564C2×C4—22no—
1565C2×C4—24no—
1566C2×C4—24no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—22no—
1570C2×C4—22no—
1571C2×C4—22no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—21no—
1576C2×C4—28no—
1577C2×C4—28no—
1578C2×C4—216no—
1579C2×C4—22no—
1580C2×C4—22no—
1581C2×C4—22no—
1582C2×C4—22no—
1583C2×C4—22no—
1584C2×C4—22no—
1585C2×C4—24no—
1586C2×C4—22no—
1587C2×C4—22no—
1588C2×C4—22no—
1589C2×C4—24no—
1590C2×C4—24no—
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—24no—
1602C2×C4—24no—
1603C2×C4—24no—
1604C2×C4—24no—
1605C2×C4—24no—
1606C2×C4—22no—
1607C2×C4—22no—
1608C2×C4—22no—
1609C2×C4—22no—
1610C2×C4—22no—
1611C2×C4—22no—
1612C2×C4—22no—
1613C2×C4—22no—
1614C2×C4—22no—
1615C2×C4—22no—
1616C2×C4—24no—
1617C2×C4—44no—
1618C2×C4—44no—
1619C2×C4—44no—
1620C2×C4—44no—
1621C2×C4—48no—
1622C2×C4—416no—
1623C2×C4—416no—
1624C2×C4—48no—
1625C2×C4—48no—
1626C2×C4—44no—
1627C2×C4—44no—
1628C2×C4—48no—
1629C2×C4—44no—
1630C2×C4—48no—
1631C2×C4—44no—
1632C2×C4—48no—
1633C2×C4—84no—
1634C2×C4—84no—
1635C2×C4—84no—
1636C2×C4—84no—
1637C2×C4—84no—
1638C2×C4—84no—
1639C2×C4—82no—
1640C2×C4—84no—
1641C2×C4—82no—
1642C2×C4C23×D412yes—
1643C2×C4C23×D414yes—
1644C2×C4C23×D412yes—
1645C2×C4C23×D412yes—
1646C2×C4C23×D412yes—
1647C2×C4C23×D414yes—
1648C2×C4C23×D414yes—
1649C2×C4C23×D414yes—
1650C2×C4#58514yes—
1651C22—24no—
1652C22—24no—
1653C22—22no—
1654C22—22no—
1655C22—22no—
1656C22—22no—
1657C22—24no—
1658C22—24no—
1659C22—22no—
1660C22—22no—
1661C22—22no—
1662C22—416no—
1663C22—42no—
1664C22—42no—
1665C22—44no—
1666C22—44no—
1667C22—44no—
1668C22—44no—
1669C22—42no—
1670C22—42no—
1671C22—44no—
1672C22—44no—
1673C22—42no—
1674C22—42no—
1675C22—44no—
1676C22—42no—
1677C22—42no—
1678C22—44no—
1679C22—44no—
1680C22—44no—
1681C22—44no—
1682C22—816no—
1683C22—164no—
1684C22#348514yes—
1685C22#348714yes—
1686C22C24×D411yescharacteristic
1687C22C2×#58511yescharacteristic
1688C22C2×#58512yes—
1689C22C2×#58512yes—
1690C22C2×#58511yescharacteristic
1691C4—22no—
1692C4—22no—
1693C4—22no—
1694C4—22no—
1695C4—24no—
1696C4—24no—
1697C4—24no—
1698C4—24no—
1699C4—24no—
1700C4—44no—
1701C4—44no—
1702C4—42no—
1703C4—42no—
1704C4—42no—
1705C4—42no—
1706C4—42no—
1707C4—44no—
1708C4—42no—
1709C4—42no—
1710C4—42no—
1711C4—42no—
1712C4—44no—
1713C4—44no—
1714C2—24no—
1715C2—24no—
1716C2—42no—
1717C2—82no—
1718C2—84no—
1719C2—82no—
1720C2#6275512yes—
1721C2C2×#348511yescharacteristic
1722C2C2×#348711yescharacteristic
1723C2#6281111yescharacteristic
1724C2#6282812yes—
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×#3535C2semidirect
2. C22×#529C2semidirect
3. #59077C2semidirect
4. #59048C2semidirect
5. #45767C2semidirect
6. #45766C2semidirect
7. #38047C2semidirect
8. #38039C2semidirect
9. #38031C2semidirect
10. #38023C2semidirect
11. #37771C2semidirect
12. #37770C2semidirect
13. #37755C2semidirect
14. #37754C2semidirect
15. #37743C2semidirect
16. #37741C2semidirect
17. #37446C2semidirect
18. #37440C2semidirect
19. #37187C2semidirect
20. #37120C2semidirect
21. #36626C2semidirect
22. C2×#2853C2semidirect
23. #36427C2semidirect
24. #36426C2semidirect
25. #36317C2semidirect
26. #36316C2semidirect
27. #35182C2semidirect
28. #34987C2semidirect
29. #34359C2semidirect
31. C2×#563C22semidirect
32. C2×#562C22semidirect
33. C2×#554C22semidirect
36. C2×#551C22semidirect
39. C2×#544C22semidirect
40. C2×#543C22semidirect
41. C2×#542C22semidirect
43. C2×#539C22semidirect
44. C2×#539C22semidirect
45. C2×#538C22semidirect
51. C2×#529C22semidirect
52. C2×#529C22semidirect
53. C2×#529C22semidirect
54. C22×#126C22semidirect
55. C22×#125C22semidirect
56. C22×#124C22semidirect
62. C22×C4×Q8C22semidirect
64. C22×C4×D4C22semidirect
65. C22×#117C22semidirect
67. #2855C22semidirect
68. #2855C22semidirect
69. #2854C22semidirect
70. #2854C22semidirect
76. #2853C22semidirect
77. #2853C22semidirect
78. #2853C22semidirect
79. #2853C22semidirect
80. #2853C22semidirect
83. #2848C22semidirect
85. #2816C22semidirect
86. #2815C22semidirect
88. #2733C22semidirect
89. #2733C22semidirect
90. #2731C22semidirect
91. #2731C22semidirect
92. #2730C22semidirect
93. #2730C22semidirect
94. #2730C22semidirect
95. #2730C22semidirect
96. #2727C22semidirect
97. #2725C22semidirect
98. #2723C22semidirect
99. #2721C22semidirect
100. #2721C22semidirect
101. #2721C22semidirect
102. #2719C22semidirect
103. #2719C22semidirect
104. #2718C22semidirect
105. #2718C22semidirect
106. #2716C22semidirect
107. #2714C22semidirect
108. #2710C22semidirect
109. #2710C22semidirect
110. #2706C22semidirect
111. #2706C22semidirect
112. #2705C22semidirect
113. #2703C22semidirect
114. #2703C22semidirect
115. #2702C22semidirect
116. #2694C22semidirect
117. #2694C22semidirect
118. #2690C22semidirect
119. #2690C22semidirect
123. #2635C22semidirect
124. #2626C22semidirect
127. #2623C22semidirect
128. #2623C22semidirect
133. #2613C22semidirect
136. #2583C22semidirect
138. #2579C22semidirect
139. #2560C22semidirect
140. #2554C22semidirect
143. #2539C22semidirect
144. #2519C22semidirect
145. #2512C22semidirect
147. #2502C22semidirect
148. #2501C22semidirect
149. #2488C22semidirect
150. #2488C22semidirect
152. #2487C22semidirect
153. #2482C22semidirect
154. #2482C22semidirect
155. #2482C22semidirect
156. #2481C22semidirect
157. #2479C22semidirect
158. #2479C22semidirect
159. #2479C22semidirect
160. #2477C22semidirect
161. #2477C22semidirect
162. #2475C22semidirect
163. #2475C22semidirect
164. #2471C22semidirect
165. #2471C22semidirect
166. #2469C22semidirect
167. #2468C22semidirect
168. #2467C22semidirect
169. #2467C22semidirect
170. #2467C22semidirect
171. #2466C22semidirect
172. #2464C22semidirect
173. #2463C22semidirect
174. #2463C22semidirect
175. #2461C22semidirect
176. #2460C22semidirect
177. #2460C22semidirect
178. #2459C22semidirect
179. #2457C22semidirect
180. #2456C22semidirect
181. #2456C22semidirect
182. #2456C22semidirect
183. #2455C22semidirect
184. #2450C22semidirect
185. #2449C22semidirect
186. #2448C22semidirect
187. #2448C22semidirect
188. #2446C22semidirect
189. #2446C22semidirect
190. #2441C22semidirect
191. #2439C22semidirect
192. #2425C22semidirect
193. #2425C22semidirect
194. #2425C22semidirect
195. #2424C22semidirect
196. #2423C22semidirect
197. #2423C22semidirect
198. #2421C22semidirect
199. #2421C22semidirect
200. #2415C22semidirect
201. #2414C22semidirect
202. #2413C22semidirect
203. #2412C22semidirect
208. #2411C22semidirect
209. #2411C22semidirect
215. #2404C22semidirect
217. #2378C22semidirect
218. #2368C22semidirect
219. #2364C22semidirect
220. #2363C22semidirect
221. #2362C22semidirect
222. #2361C22semidirect
223. #2359C22semidirect
224. #2358C22semidirect
225. #2354C22semidirect
226. #2352C22semidirect
227. #2344C22semidirect
228. #2344C22semidirect
231. #2332C22semidirect
232. #2332C22semidirect
233. #2329C22semidirect
234. #2329C22semidirect
236. #2321C22semidirect
237. #2317C22semidirect
238. #2313C22semidirect
240. #2310C22semidirect
241. C4×#123C22semidirect
242. C4×#123C22semidirect
244. C4×#120C22semidirect
246. #2297C22semidirect
247. #2297C22semidirect
248. #2296C22semidirect
249. #2296C22semidirect
250. #2296C22semidirect
251. C2×#388C22semidirect
252. C2×#388C22semidirect
253. C2×#387C22semidirect
254. C2×#387C22semidirect
348. C2×C22⋊Q8D4semidirect

Maximal subgroups

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

subgroupindex
C2×#35352
C22×#5292
#590772
#590482
#457672
#457662
#380472
#380392
#380312
#380232
#377712
#377702
#377552
#377542
#377432
#377412
#374462
#374402
#371872
#371202
#366262
C2×#28532
#364272
#364262
#363172
#363162
#351822
#349872
#343592