Finite Group Databasebeta

← #7714765

Subgroups — #7714765

Order 512.

6750 conjugacy classes of subgroups.

The subgroup lattice has 1712 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3535C211yesmaximal, characteristic, complemented
2C22×#542C211yesmaximal, characteristic, complemented
3#51976C214yesmaximal, complemented
4#51900C214yesmaximal, complemented
5#51892C214yesmaximal, complemented
6#51891C214yesmaximal, complemented
7#47216C212yesmaximal, complemented
8#47212C212yesmaximal, complemented
9#47205C214yesmaximal, complemented
10#46827C214yesmaximal, complemented
11#46820C212yesmaximal, complemented
12#46816C212yesmaximal, complemented
13#38917C212yesmaximal, complemented
14#38912C212yesmaximal, complemented
15#38905C212yesmaximal, complemented
16#38900C212yesmaximal, complemented
17#38047C212yesmaximal, complemented
18#38044C212yesmaximal, complemented
19#38031C212yesmaximal, complemented
20#38028C212yesmaximal, complemented
21#37446C211yesmaximal, characteristic, complemented
22#37440C211yesmaximal, characteristic, complemented
23#37233C212yesmaximal, complemented
24#37187C212yesmaximal, complemented
25#35182C212yesmaximal, complemented
26#35157C211yesmaximal, characteristic, complemented
27#35097C211yesmaximal, characteristic, 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×#542—216no—
42C2×#542C2212yes—
43C2×#542C2214yes—
44C2×#542C2212yes—
45C2×#542C2212yescomplemented
46C2×#542C2214yescomplemented
47C2×#542C2212yescomplemented
48C2×#542C2212yescomplemented
49C2×#539C2212yes—
50C2×#539C2211yescharacteristic, complemented
51C2×#539C2212yescomplemented
52C2×#538C2211yescharacteristic, complemented
53C2×#536C2212yes—
54C22×C4⋊Q8C2211yescharacteristic, complemented
55C22×#126C2212yescomplemented
56C22×#124C2212yes—
57C22×#124C2211yescharacteristic, complemented
58C2×#525C2211yescharacteristic
59C22×#123C2212yes—
60C22×#123C2211yescharacteristic
61C22×C22⋊Q8C2211yescharacteristic
62C22×C22⋊Q8C2212yescomplemented
63C22×#121C2211yescharacteristic
64C22×C4×Q8C2211yescharacteristic, complemented
65C22×C4×D4C2211yescharacteristic, complemented
66C22×#117C2211yescharacteristic
67#2853C2212yes—
68#2853C2212yes—
69#2853C2212yes—
70#2853C2212yescomplemented
71#2853C2212yescomplemented
72#2853C2212yescomplemented
73#2848C2212yescomplemented
74#2847C2212yes—
75#2816C2212yes—
76#2815C2212yes—
77#2813C2214yes—
78#2733C2214yescomplemented
79#2733C2214yescomplemented
80#2731C2214yescomplemented
81#2731C2214yescomplemented
82#2730C2214yescomplemented
83#2730C2214yescomplemented
84#2730C2214yescomplemented
85#2730C2214yescomplemented
86#2727C2214yescomplemented
87#2725C2214yescomplemented
88#2723C2214yescomplemented
89#2723C2214yescomplemented
90#2723C2214yescomplemented
91#2721C2214yescomplemented
92#2720C2214yescomplemented
93#2720C2214yescomplemented
94#2716C2214yescomplemented
95#2716C2214yescomplemented
96#2716C2214yescomplemented
97#2715C2214yescomplemented
98#2714C2214yescomplemented
99#2713C2214yescomplemented
100#2713C2214yescomplemented
101#2712C2214yescomplemented
102#2710C2214yescomplemented
103#2706C2214yescomplemented
104#2705C2214yescomplemented
105#2702C2214yescomplemented
106#2700C2214yescomplemented
107#2696C2214yescomplemented
108#2696C2214yescomplemented
109#2695C2214yescomplemented
110#2693C2214yescomplemented
111#2692C2214yescomplemented
112#2692C2214yescomplemented
113#2687C2214yescomplemented
114#2680C2214yescomplemented
115#2678C2214yescomplemented
116#2677C2214yescomplemented
117#2677C2214yescomplemented
118#2676C2214yescomplemented
119#2674C2214yescomplemented
120#2674C2214yescomplemented
121#2674C2214yescomplemented
122#2672C2214yescomplemented
123#2672C2214yescomplemented
124#2671C2214yescomplemented
125#2670C2214yescomplemented
126#2661C2214yes—
127#2656C2212yescomplemented
128#2639C2212yescomplemented
129#2635C2214yes—
130#2626C2212yescomplemented
131#2623C2212yes—
132#2623C2212yes—
133#2623C2212yes—
134#2623C2212yes—
135#2623C2212yescomplemented
136#2623C2212yescomplemented
137#2622C2212yes—
138#2622C2212yes—
139#2618C2212yes—
140#2617C2212yes—
141#2617C2212yes—
142#2613C2212yes—
143#2613C2212yescomplemented
144#2591C2212yes—
145#2591C2212yes—
146#2583C2212yescomplemented
147#2579C2212yes—
148#2579C2212yescomplemented
149#2560C2214yescomplemented
150#2557C2214yescomplemented
151#2557C2214yescomplemented
152#2555C2214yescomplemented
153#2554C2214yescomplemented
154#2553C2214yescomplemented
155#2543C2214yescomplemented
156#2542C2214yescomplemented
157#2540C2214yescomplemented
158#2539C2212yes—
159#2521C2214yescomplemented
160#2519C2214yescomplemented
161#2512C2214yescomplemented
162#2500C2212yescomplemented
163#2500C2212yescomplemented
164#2499C2212yescomplemented
165#2499C2212yescomplemented
166#2498C2214yescomplemented
167#2498C2214yescomplemented
168#2492C2214yescomplemented
169#2491C2214yescomplemented
170#2489C2214yescomplemented
171#2485C2214yescomplemented
172#2485C2214yescomplemented
173#2484C2212yescomplemented
174#2484C2212yescomplemented
175#2482C2212yescomplemented
176#2482C2212yescomplemented
177#2482C2212yescomplemented
178#2482C2212yescomplemented
179#2482C2212yescomplemented
180#2481C2214yescomplemented
181#2479C2214yescomplemented
182#2474C2214yescomplemented
183#2472C2214yescomplemented
184#2470C2214yescomplemented
185#2469C2214yescomplemented
186#2467C2214yescomplemented
187#2467C2214yescomplemented
188#2467C2214yescomplemented
189#2464C2214yescomplemented
190#2463C2214yescomplemented
191#2463C2214yescomplemented
192#2461C2214yescomplemented
193#2460C2214yescomplemented
194#2460C2214yescomplemented
195#2459C2214yescomplemented
196#2457C2214yescomplemented
197#2456C2214yescomplemented
198#2456C2214yescomplemented
199#2455C2214yescomplemented
200#2448C2214yescomplemented
201#2448C2214yescomplemented
202#2446C2214yescomplemented
203#2446C2214yescomplemented
204#2436C2212yes—
205#2434C2212yescomplemented
206#2429C2214yescomplemented
207#2427C2214yescomplemented
208#2423C2214yescomplemented
209#2423C2214yescomplemented
210#2422C2214yescomplemented
211#2421C2214yescomplemented
212#2421C2214yescomplemented
213#2418C2214yescomplemented
214#2417C2214yescomplemented
215#2415C2214yescomplemented
216#2411C2212yes—
217#2411C2212yes—
218#2411C2212yes—
219#2411C2212yes—
220#2411C2212yescomplemented
221#2411C2212yescomplemented
222#2410C2212yes—
223#2410C2212yes—
224#2409C2212yes—
225#2409C2212yescomplemented
226#2405C2212yes—
227#2404C2212yes—
228#2404C2212yes—
229#2404C2212yescomplemented
230#2403C2212yes—
231#2378C2214yescomplemented
232#2368C2214yescomplemented
233#2344C2212yescomplemented
234#2344C2212yescomplemented
235#2342C2212yes—
236#2342C2212yes—
237#2332C2212yescomplemented
238#2332C2212yescomplemented
239#2329C2212yescomplemented
240#2329C2212yescomplemented
241#2321C2212yes—
242#2321C2212yescomplemented
243#2317C2212yescomplemented
244#2317C2211yescharacteristic, complemented
245#2317C2211yescharacteristic, complemented
246#2315C2211yescharacteristic
247#2315C2211yescharacteristic
248#2313C2212yescomplemented
249#2311C2212yes—
250#2311C2211yescharacteristic, complemented
251#2311C2211yescharacteristic, complemented
252#2310C2212yescomplemented
253#2308C2211yescharacteristic
254#2308C2211yescharacteristic
255C4×#120C2212yes—
256C4×#120C2212yescomplemented
257#2297C2212yes—
258#2296C2212yescomplemented
259#2280C2211yescharacteristic
260C2×#381C2211yescharacteristic
261C22×#41C2312yes—
262C22×#41C2311yescharacteristic
263C23×Q8C2312yes—
264C23×Q8C2311yescharacteristic
265C23×D4C2311yescharacteristic
266C23×D4C2311yescharacteristic
267C23×D4C2312yes—
268C24×C4C2312yes—
269C24×C4C2311yescharacteristic
270#563—216no—
271#562—216no—
272#554—216no—
273#552—216no—
274#551—216no—
275#551—216no—
276#547—216no—
277#546—216no—
278#544—28no—
279#543—28no—
280#542—216no—
281#542—216no—
282#542—232no—
283#542—216no—
284#542—216no—
285#542—232no—
286#542—216no—
287#539—28no—
288#539—216no—
289#539—216no—
290#538—28no—
291#536—216no—
292C2×C4⋊Q8—28no—
293C2×C4⋊Q8C2312yes—
294C2×C4⋊Q8C2314yes—
295C2×C4⋊Q8C2312yes—
296C2×C4⋊Q8C2312yes—
297C2×C4⋊Q8C2312yes—
298C2×C4⋊Q8C2312yes—
299C2×C4⋊Q8C2314yes—
300C2×#126—216no—
301C2×#126C2314yes—
302C2×#126C2314yes—
303C2×#126C2314yes—
304C2×#126C2314yes—
305C2×#126C2312yes—
306C2×#126C2312yes—
307C2×#126C2312yes—
308C2×#126C2312yes—
309C2×#126C2312yes—
310C2×#126C2312yes—
311C2×#125C2312yes—
312C2×#125C2312yes—
313C2×#125C2312yes—
314C2×#125C2312yes—
315C2×#125C2312yes—
316C2×#124—28no—
317C2×#124—216no—
318C2×#124C2314yes—
319C2×#124C2314yes—
320C2×#124C2314yes—
321C2×#124C2314yes—
322C2×#124C2312yes—
323C2×#124C2314yes—
324C2×#124C2312yes—
325C2×#124C2312yes—
326C2×#124C2312yes—
327C2×#124C2312yes—
328C2×#124C2312yes—
329C2×#124C2314yes—
330#525—28no—
331C2×#123—28no—
332C2×#123—216no—
333C2×#123C2312yes—
334C2×#123C2312yes—
335C2×#123C2312yes—
336C2×#123C2312yes—
337C2×#123C2312yes—
338C2×#123C2312yes—
339C2×#123C2314yes—
340C2×#123C2314yes—
341C2×#123C2314yes—
342C2×#123C2314yes—
343C2×#123C2312yes—
344C2×#123C2312yes—
345C2×#123C2312yes—
346C2×#123C2312yes—
347C2×#123C2312yes—
348C2×#123C2312yes—
349C2×#123C2312yes—
350C2×#123C2312yes—
351C2×#123C2314yes—
352C2×C22⋊Q8—216no—
353C2×C22⋊Q8D4116yescomplemented
354C2×C22⋊Q8C2312yes—
355C2×C22⋊Q8C2311yescharacteristic
356C2×C22⋊Q8C2312yes—
357C2×C22⋊Q8C2311yescharacteristic
358C2×C22⋊Q8C2314yes—
359C2×C22⋊Q8C2314yes—
360C2×C22⋊Q8C2314yes—
361C2×C22⋊Q8C2314yes—
362C2×C22⋊Q8C2312yes—
363C2×C22⋊Q8C2312yes—
364C2×C22⋊Q8C2312yes—
365C2×C22⋊Q8C2312yes—
366C2×C22⋊Q8C2312yes—
367C2×C22⋊Q8C2312yes—
368C2×C22⋊Q8C2312yes—
369C2×C22⋊Q8C2312yes—
370C2×C22⋊Q8C2312yes—
371C2×C22⋊Q8C2312yes—
372C2×C22⋊Q8C2314yes—
373C2×C22⋊Q8C2314yes—
374C2×C22⋊Q8C2314yes—
375C2×C22⋊Q8C2311yescharacteristic
376C2×C22⋊Q8C2311yescharacteristic
377C2×C22⋊Q8C2311yescharacteristic
378C2×C22⋊Q8C2311yescharacteristic
379C2×C22⋊Q8C2312yes—
380C2×C22⋊Q8C2312yes—
381C2×#121—28no—
382C2×#121C2312yes—
383C2×#121C2312yes—
384C2×#121C2312yes—
385C2×#121C2312yes—
386C2×#121C2311yescharacteristic
387C2×#121C2312yes—
388C2×#121C2311yescharacteristic
389C2×#121C2312yes—
390C2×#121C2312yes—
391C2×#121C2312yes—
392C2×#121C2314yes—
393C2×#121C2314yes—
394C2×#121C2314yes—
395C2×#120C2312yes—
396C2×#120C2312yes—
397C2×#120C2312yes—
398C2×#120C2312yes—
399C2×#120C2312yes—
400C2×#120C2312yes—
401C2×#120C2314yes—
402C2×C4×Q8—28no—
403C2×C4×Q8C2312yes—
404C2×C4×Q8C2314yes—
405C2×C4×Q8C2312yes—
406C2×C4×Q8C2312yes—
407C2×C4×D4—28no—
408C2×C4×D4C2312yes—
409C2×C4×D4C2312yes—
410C2×C4×D4C2312yes—
411C2×C4×D4C2312yes—
412C2×C4×D4C2314yes—
413C2×C4×D4C2312yes—
414C2×C4×D4C2312yes—
415C2×C4×D4C2312yes—
416C2×C4×D4C2312yes—
417C2×C4×D4C2312yes—
418C2×C4×D4C2314yes—
419C2×C4×D4C2314yes—
420C2×#117—28no—
421C2×#117C2311yescharacteristic
422C2×#117C2312yes—
423C2×#117C2312yes—
424C2×#117C2312yes—
425C2×#117C2312yes—
426C2×#117C2312yes—
427C2×#117C2312yes—
428C2×#117C2312yes—
429C2×#117C2312yes—
430C2×#117C2312yes—
431C2×#117C2311yescharacteristic
432C2×#117C2311yescharacteristic
433C22×C4⋊C4C2312yes—
434C22×C4⋊C4C2311yescharacteristic
435C22×C4⋊C4C2311yescharacteristic
436C22×C4⋊C4C2312yes—
437C22×C4⋊C4C2311yescharacteristic
438C22×C4⋊C4C2311yescharacteristic
439C22×C4⋊C4C2311yescharacteristic
440C22×C4⋊C4C2312yes—
441C22×C4⋊C4C2311yescharacteristic
442C22×C4⋊C4C2312yes—
443C22×C22⋊C4C2311yescharacteristic
444C22×C22⋊C4C2311yescharacteristic
445C22×C22⋊C4C2311yescharacteristic
446C22×C22⋊C4C2312yes—
447C22×C22⋊C4C2311yescharacteristic
448C22×C22⋊C4C2312yes—
449C22×C22⋊C4C2312yes—
450C22×C22⋊C4C2312yes—
451C22×C22⋊C4C2311yescharacteristic
452C22×C22⋊C4C2312yes—
453C22×C22⋊C4C2311yescharacteristic
454C22×C22⋊C4C2311yescharacteristic
455C22×C22⋊C4C2312yes—
456C22×C42C2311yescharacteristic
457C22×C42C2311yescharacteristic
458C22×C42C2312yes—
459#400C2314yes—
460#400C2314yes—
461#400C2314yes—
462#400C2314yes—
463#400C2314yes—
464#400C2314yes—
465#400C2314yes—
466#399C2314yes—
467#399C2314yes—
468#399C2314yes—
469#399C2314yes—
470#399C2314yes—
471#399C2314yes—
472#399C2314yes—
473#399C2314yes—
474#399C2314yes—
475#399C2314yes—
476#398C2314yes—
477#398C2314yes—
478#398C2314yes—
479#398C2314yes—
480#398C2314yes—
481#398C2314yes—
482#398C2314yes—
483#398C2314yes—
484#398C2314yes—
485#397C2314yes—
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#396C2314yes—
500#396C2314yes—
501#396C2314yes—
502#396C2314yes—
503#396C2314yes—
504#396C2314yes—
505#396C2314yes—
506#396C2314yes—
507#396C2314yes—
508#396C2314yes—
509#395C2314yes—
510#395C2314yes—
511#395C2314yes—
512#395C2314yes—
513#395C2314yes—
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#393C2314yes—
536#393C2314yes—
537#393C2314yes—
538#393C2314yes—
539#393C2314yes—
540#393C2314yes—
541#393C2314yes—
542#393C2314yes—
543#392C2314yes—
544#392C2314yes—
545#392C2314yes—
546#392C2314yes—
547#392C2314yes—
548#392C2314yes—
549#392C2314yes—
550#392C2314yes—
551#392C2314yes—
552#392C2314yes—
553#392C2314yes—
554#392C2314yes—
555#391C2312yes—
556#391C2314yes—
557#391C2314yes—
558#391C2314yes—
559#391C2314yes—
560#391C2314yes—
561#391C2312yes—
562#391C2314yes—
563#391C2314yes—
564#391C2314yes—
565#391C2314yes—
566#391C2314yes—
567#390C2314yes—
568#390C2314yes—
569#390C2312yes—
570#390C2312yes—
571#390C2314yes—
572#390C2314yes—
573#390C2314yes—
574#390C2314yes—
575#390C2314yes—
576#390C2314yes—
577#390C2314yes—
578#390C2314yes—
579#389C2314yes—
580#389C2314yes—
581#389C2314yes—
582#389C2314yes—
583#389C2314yes—
584#389C2314yes—
585#389C2314yes—
586#389C2314yes—
587#389C2314yes—
588#389C2314yes—
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#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#387C2314yes—
638#387C2314yes—
639#387C2314yes—
640#387C2314yes—
641#387C2314yes—
642#387C2314yes—
643#387C2314yes—
644#387C2314yes—
645#386C2314yes—
646#386C2312yes—
647#386C2312yes—
648#386C2312yes—
649#386C2312yes—
650#386C2314yes—
651#386C2314yes—
652#386C2312yes—
653#386C2312yes—
654#386C2312yes—
655#386C2312yes—
656#386C2312yes—
657#386C2312yes—
658#386C2314yes—
659#386C2314yes—
660#386C2312yes—
661#386C2314yes—
662#386C2314yes—
663#386C2312yes—
664#386C2314yes—
665#386C2314yes—
666#386C2314yes—
667#386C2314yes—
668#386C2314yes—
669#386C2314yes—
670#386C2314yes—
671#386C2314yes—
672#386C2314yes—
673#386C2314yes—
674#386C2314yes—
675#385C2312yes—
676#385C2312yes—
677#385C2312yes—
678#385C2312yes—
679#385C2312yes—
680#385C2312yes—
681#385C2312yes—
682#385C2312yes—
683#385C2312yes—
684#385C2312yes—
685#385C2312yes—
686#385C2312yes—
687#385C2312yes—
688#385C2312yes—
689#385C2312yes—
690#385C2314yes—
691#385C2314yes—
692#385C2312yes—
693#385C2314yes—
694#385C2314yes—
695#385C2314yes—
696#385C2314yes—
697#385C2314yes—
698#385C2314yes—
699#384C2314yes—
700#384C2312yes—
701#384C2312yes—
702#382C2314yes—
703#382C2312yes—
704#382C2312yes—
705#381C2312yes—
706#381C2312yes—
707#381C2312yes—
708#381C2312yes—
709#381C2312yes—
710#381C2312yes—
711#381C2312yes—
712#381C2312yes—
713#381C2312yes—
714#380C2314yes—
715#380C2314yes—
716#380C2314yes—
717#380C2314yes—
718#380C2312yes—
719#380C2312yes—
720#380C2314yes—
721#380C2314yes—
722#380C2312yes—
723#380C2314yes—
724#380C2314yes—
725#380C2312yes—
726#379C2312yes—
727#379C2312yes—
728#379C2312yes—
729#379C2312yes—
730#379C2312yes—
731#379C2312yes—
732#379C2312yes—
733C4×C4⋊C4C2314yes—
734C4×C4⋊C4C2314yes—
735C4×C4⋊C4C2314yes—
736C4×C4⋊C4C2314yes—
737C4×C22⋊C4C2314yes—
738C4×C22⋊C4C2312yes—
739C4×C22⋊C4C2312yes—
740C4×C22⋊C4C2314yes—
741C4×C22⋊C4C2314yes—
742C4×C22⋊C4C2312yes—
743C4×C22⋊C4C2312yes—
744C4×C22⋊C4C2314yes—
745C4×C22⋊C4C2314yes—
746C4×C22⋊C4C2314yes—
747C2×#95C2312yes—
748C2×#95C2312yes—
749C25C2412yes—
750C25C2411yescharacteristic
751C25C2411yescharacteristic
752C2×#41—24no—
753C2×#41—28no—
754C2×#41—42no—
755C2×#41—42no—
756C2×#41—44no—
757C2×#41—44no—
758C22×Q8—28no—
759C22×Q8—42no—
760C22×Q8—42no—
761C22×Q8—84no—
762C22×Q8C2×D418yes—
763C22×Q8C2412yes—
764C22×Q8C2411yescharacteristic
765C22×Q8C2414yes—
766C22×Q8C2414yes—
767C22×Q8C2412yes—
768C22×Q8C2411yescharacteristic
769C22×Q8C2412yes—
770C22×Q8C2411yescharacteristic
771C22×D4—28no—
772C22×D4—24no—
773C22×D4—24no—
774C22×D4—42no—
775C22×D4—42no—
776C22×D4—42no—
777C22×D4—42no—
778C22×D4—84no—
779C22×D4C2412yes—
780C22×D4C2412yes—
781C22×D4C2412yes—
782C22×D4C2412yes—
783C22×D4C2412yes—
784C22×D4C2412yes—
785C22×D4C2412yes—
786C22×D4C2414yes—
787C22×D4C2412yes—
788C22×D4C2414yes—
789C22×D4C2411yescharacteristic
790C22×D4C2412yes—
791C22×D4C2414yes—
792C22×D4C2414yes—
793C22×D4C2414yes—
794C22×D4C2414yes—
795C23×C4—28no—
796C23×C4—42no—
797C23×C4—42no—
798C23×C4—84no—
799C23×C4C2×D418yes—
800C23×C4C2412yes—
801C23×C4C2411yescharacteristic
802C23×C4C2411yescharacteristic
803C23×C4C2411yescharacteristic
804C23×C4C2411yescharacteristic
805C23×C4C2411yescharacteristic
806C23×C4C2411yescharacteristic
807C23×C4C2411yescharacteristic
808C23×C4C2411yescharacteristic
809C23×C4C2412yes—
810C23×C4C2412yes—
811C23×C4C2412yes—
812C23×C4C2411yescharacteristic
813C23×C4C2412yes—
814C23×C4C2412yes—
815C23×C4C2412yes—
816C23×C4C2414yes—
817C23×C4C2414yes—
818C23×C4C2412yes—
819C23×C4C2412yes—
820C23×C4C2412yes—
821C23×C4C2411yescharacteristic
822C23×C4C2411yescharacteristic
823C23×C4C2411yescharacteristic
824C23×C4C2411yescharacteristic
825C4⋊Q8—28no—
826C4⋊Q8—28no—
827C4⋊Q8—28no—
828C4⋊Q8—216no—
829C4⋊Q8—28no—
830C4⋊Q8—28no—
831C4⋊Q8—84no—
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—28no—
844#125—28no—
845#125—28no—
846#125—28no—
847#124—28no—
848#124—216no—
849#124—28no—
850#124—28no—
851#124—28no—
852#124—216no—
853#124—216no—
854#124—216no—
855#124—216no—
856#124—28no—
857#124—28no—
858#124—84no—
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—28no—
869#123—28no—
870#123—216no—
871#123—216no—
872#123—216no—
873#123—216no—
874#123—28no—
875#123—28no—
876#123—28no—
877#123—84no—
878C22⋊Q8—28no—
879C22⋊Q8—28no—
880C22⋊Q8—28no—
881C22⋊Q8—28no—
882C22⋊Q8—24no—
883C22⋊Q8—24no—
884C22⋊Q8—28no—
885C22⋊Q8—216no—
886C22⋊Q8—216no—
887C22⋊Q8—216no—
888C22⋊Q8—216no—
889C22⋊Q8—28no—
890C22⋊Q8—28no—
891C22⋊Q8—28no—
892C22⋊Q8—28no—
893C22⋊Q8—28no—
894C22⋊Q8—28no—
895C22⋊Q8—28no—
896C22⋊Q8—84no—
897C22⋊Q8—84no—
898C22⋊Q8—84no—
899C22⋊Q8C2×D418yes—
900C22⋊Q8C2×D418yes—
901C22⋊Q8C2×D418yes—
902C22⋊Q8C2×D418yes—
903C22⋊Q8C2×D4116yes—
904C22⋊Q8C2×D4116yes—
905#121—28no—
906#121—28no—
907#121—28no—
908#121—28no—
909#121—24no—
910#121—24no—
911#121—28no—
912#121—28no—
913#121—28no—
914#121—28no—
915#121—84no—
916#121—84no—
917#121—84no—
918#120—28no—
919#120—28no—
920#120—44no—
921#120—44no—
922#120—44no—
923#120—44no—
924#120—84no—
925C4×Q8—28no—
926C4×Q8—216no—
927C4×Q8—28no—
928C4×Q8—28no—
929C4×D4—28no—
930C4×D4—28no—
931C4×D4—28no—
932C4×D4—28no—
933C4×D4—28no—
934C4×D4—216no—
935C4×D4—28no—
936C4×D4—28no—
937C4×D4—28no—
938C4×D4—28no—
939C4×D4—84no—
940C4×D4—84no—
941#117—28no—
942#117—28no—
943#117—28no—
944#117—28no—
945#117—24no—
946#117—28no—
947#117—28no—
948#117—28no—
949#117—44no—
950#117—44no—
951#117—42no—
952#117—42no—
953C2×C4⋊C4—24no—
954C2×C4⋊C4—24no—
955C2×C4⋊C4—24no—
956C2×C4⋊C4—28no—
957C2×C4⋊C4—28no—
958C2×C4⋊C4—24no—
959C2×C4⋊C4—24no—
960C2×C4⋊C4—28no—
961C2×C4⋊C4C2×D418yes—
962C2×C4⋊C4C2×D4116yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2412yes—
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⋊C4C2414yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2411yescharacteristic
980C2×C4⋊C4C2411yescharacteristic
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⋊C4C2412yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2414yes—
996C2×C4⋊C4C2414yes—
997C2×C4⋊C4C2414yes—
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⋊C4C2414yes—
1009C2×C4⋊C4C2414yes—
1010C2×C4⋊C4C2414yes—
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2411yescharacteristic
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2411yescharacteristic
1016C2×C4⋊C4C2412yes—
1017C2×C4⋊C4C2412yes—
1018C2×C22⋊C4—24no—
1019C2×C22⋊C4—24no—
1020C2×C22⋊C4—24no—
1021C2×C22⋊C4—28no—
1022C2×C22⋊C4—28no—
1023C2×C22⋊C4—28no—
1024C2×C22⋊C4—28no—
1025C2×C22⋊C4—24no—
1026C2×C22⋊C4—24no—
1027C2×C22⋊C4—28no—
1028C2×C22⋊C4—42no—
1029C2×C22⋊C4—42no—
1030C2×C22⋊C4C2×D4116yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2414yes—
1053C2×C22⋊C4C2414yes—
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⋊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⋊C4C2414yes—
1088C2×C22⋊C4C2414yes—
1089C2×C22⋊C4C2414yes—
1090C2×C22⋊C4C2414yes—
1091C2×C22⋊C4C2414yes—
1092C2×C22⋊C4C2414yes—
1093C2×C22⋊C4C2414yes—
1094C2×C22⋊C4C2412yes—
1095C2×C22⋊C4C2412yes—
1096C2×C22⋊C4C2412yes—
1097C2×C22⋊C4C2412yes—
1098C2×C42—24no—
1099C2×C42—24no—
1100C2×C42—28no—
1101C2×C42C2412yes—
1102C2×C42C2412yes—
1103C2×C42C2412yes—
1104C2×C42C2412yes—
1105C2×C42C2412yes—
1106C2×C42C2412yes—
1107C2×C42C2412yes—
1108C2×C42C2412yes—
1109C2×C42C2412yes—
1110C2×C42C2414yes—
1111C2×C42C2414yes—
1112C2×C42C2414yes—
1113C2×C42C2412yes—
1114C2×C42C2412yes—
1115C2×C42C2414yes—
1116C2×C42C2414yes—
1117C2×C42C2414yes—
1118#95C2414yes—
1119#95C2414yes—
1120#95C2414yes—
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—
1156C24—22no—
1157C24—22no—
1158C24—24no—
1159C24—22no—
1160C24—24no—
1161C24—24no—
1162C24—44no—
1163C24—42no—
1164C24—42no—
1165C24—44no—
1166C24—42no—
1167C24—42no—
1168C24—41no—
1169C24—41no—
1170C24C22×D414yes—
1171C24C2514yes—
1172C24C2512yes—
1173C24C2512yes—
1174C24C2511yescharacteristic
1175C24C2511yescharacteristic
1176C24C2511yescharacteristic
1177#41—88no—
1178#41—816no—
1179C2×Q8—24no—
1180C2×Q8—22no—
1181C2×Q8—28no—
1182C2×Q8—28no—
1183C2×Q8—24no—
1184C2×Q8—416no—
1185C2×Q8—41no—
1186C2×Q8—42no—
1187C2×Q8—41no—
1188C2×Q8—42no—
1189C2×Q8—41no—
1190C2×Q8—41no—
1191C2×Q8—44no—
1192C2×Q8—44no—
1193C2×Q8—44no—
1194C2×Q8—44no—
1195C2×Q8—44no—
1196C2×Q8—41no—
1197C2×Q8—41no—
1198C2×Q8—42no—
1199C2×Q8—42no—
1200C2×Q8—816no—
1201C2×Q8C22×D414yes—
1202C2×Q8C22×D418yes—
1203C2×Q8C22×D414yes—
1204C2×D4—24no—
1205C2×D4—24no—
1206C2×D4—24no—
1207C2×D4—24no—
1208C2×D4—24no—
1209C2×D4—24no—
1210C2×D4—24no—
1211C2×D4—24no—
1212C2×D4—24no—
1213C2×D4—28no—
1214C2×D4—28no—
1215C2×D4—24no—
1216C2×D4—24no—
1217C2×D4—24no—
1218C2×D4—24no—
1219C2×D4—22no—
1220C2×D4—42no—
1221C2×D4—42no—
1222C2×D4—42no—
1223C2×D4—42no—
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—44no—
1235C2×D4—44no—
1236C2×D4—42no—
1237C2×D4—42no—
1238C2×D4—44no—
1239C2×D4—44no—
1240C2×D4—41no—
1241C2×D4—41no—
1242C2×D4—42no—
1243C2×D4—42no—
1244C2×D4—44no—
1245C2×D4—44no—
1246C2×D4—44no—
1247C2×D4—44no—
1248C2×D4—44no—
1249C2×D4—44no—
1250C2×D4—816no—
1251C2×D4—88no—
1252C22×C4—22no—
1253C22×C4—22no—
1254C22×C4—24no—
1255C22×C4—24no—
1256C22×C4—22no—
1257C22×C4—22no—
1258C22×C4—22no—
1259C22×C4—22no—
1260C22×C4—22no—
1261C22×C4—22no—
1262C22×C4—24no—
1263C22×C4—22no—
1264C22×C4—22no—
1265C22×C4—22no—
1266C22×C4—24no—
1267C22×C4—24no—
1268C22×C4—24no—
1269C22×C4—24no—
1270C22×C4—24no—
1271C22×C4—28no—
1272C22×C4—28no—
1273C22×C4—416no—
1274C22×C4—41no—
1275C22×C4—41no—
1276C22×C4—41no—
1277C22×C4—41no—
1278C22×C4—41no—
1279C22×C4—41no—
1280C22×C4—41no—
1281C22×C4—41no—
1282C22×C4—42no—
1283C22×C4—44no—
1284C22×C4—42no—
1285C22×C4—42no—
1286C22×C4—42no—
1287C22×C4—44no—
1288C22×C4—42no—
1289C22×C4—44no—
1290C22×C4—44no—
1291C22×C4—44no—
1292C22×C4—44no—
1293C22×C4—44no—
1294C22×C4—44no—
1295C22×C4—42no—
1296C22×C4—41no—
1297C22×C4—41no—
1298C22×C4—42no—
1299C22×C4—42no—
1300C22×C4—42no—
1301C22×C4—42no—
1302C22×C4—42no—
1303C22×C4—42no—
1304C22×C4—42no—
1305C22×C4—42no—
1306C22×C4—42no—
1307C22×C4—42no—
1308C22×C4—42no—
1309C22×C4—42no—
1310C22×C4—816no—
1311C22×C4C22×D414yes—
1312C22×C4C22×D418yes—
1313C22×C4C22×D414yes—
1314C22×C4C22×D418yes—
1315C22×C4C22×D414yes—
1316C22×C4C22×D414yes—
1317C22×C4C22×D414yes—
1318C22×C4C22×D414yes—
1319C22×C4C2514yes—
1320C22×C4C2514yes—
1321C22×C4C2514yes—
1322C22×C4C2514yes—
1323C22×C4C2512yes—
1324C22×C4C2512yes—
1325C22×C4C2512yes—
1326C22×C4C2512yes—
1327C22×C4C2512yes—
1328C22×C4C2512yes—
1329C22×C4C2512yes—
1330C22×C4C2512yes—
1331C22×C4C2514yes—
1332C22×C4C2512yes—
1333C22×C4C2512yes—
1334C22×C4C2511yescharacteristic
1335C22×C4C2511yescharacteristic
1336C22×C4C2512yes—
1337C22×C4C2512yes—
1338C22×C4C2511yescharacteristic
1339C22×C4C2512yes—
1340C22×C4C2512yes—
1341C22×C4C2511yescharacteristic
1342C4⋊C4—24no—
1343C4⋊C4—24no—
1344C4⋊C4—24no—
1345C4⋊C4—24no—
1346C4⋊C4—24no—
1347C4⋊C4—24no—
1348C4⋊C4—24no—
1349C4⋊C4—28no—
1350C4⋊C4—28no—
1351C4⋊C4—24no—
1352C4⋊C4—24no—
1353C4⋊C4—24no—
1354C4⋊C4—24no—
1355C4⋊C4—24no—
1356C4⋊C4—28no—
1357C4⋊C4—28no—
1358C4⋊C4—22no—
1359C4⋊C4—22no—
1360C4⋊C4—24no—
1361C4⋊C4—24no—
1362C4⋊C4—24no—
1363C4⋊C4—24no—
1364C4⋊C4—24no—
1365C4⋊C4—24no—
1366C4⋊C4—24no—
1367C4⋊C4—24no—
1368C4⋊C4—24no—
1369C4⋊C4—24no—
1370C4⋊C4—24no—
1371C4⋊C4—24no—
1372C4⋊C4—44no—
1373C4⋊C4—44no—
1374C4⋊C4—44no—
1375C4⋊C4—44no—
1376C4⋊C4—42no—
1377C4⋊C4—42no—
1378C4⋊C4—44no—
1379C4⋊C4—44no—
1380C4⋊C4—44no—
1381C4⋊C4—44no—
1382C4⋊C4—44no—
1383C4⋊C4—44no—
1384C4⋊C4—44no—
1385C4⋊C4—44no—
1386C4⋊C4—44no—
1387C4⋊C4—44no—
1388C4⋊C4—44no—
1389C4⋊C4—44no—
1390C4⋊C4C22×D418yes—
1391C4⋊C4C22×D418yes—
1392C4⋊C4C22×D414yes—
1393C4⋊C4C22×D418yes—
1394C4⋊C4C22×D414yes—
1395C4⋊C4C22×D418yes—
1396C4⋊C4C22×D418yes—
1397C22⋊C4—24no—
1398C22⋊C4—24no—
1399C22⋊C4—24no—
1400C22⋊C4—24no—
1401C22⋊C4—24no—
1402C22⋊C4—24no—
1403C22⋊C4—24no—
1404C22⋊C4—24no—
1405C22⋊C4—24no—
1406C22⋊C4—24no—
1407C22⋊C4—24no—
1408C22⋊C4—24no—
1409C22⋊C4—24no—
1410C22⋊C4—24no—
1411C22⋊C4—28no—
1412C22⋊C4—28no—
1413C22⋊C4—28no—
1414C22⋊C4—28no—
1415C22⋊C4—24no—
1416C22⋊C4—24no—
1417C22⋊C4—24no—
1418C22⋊C4—24no—
1419C22⋊C4—28no—
1420C22⋊C4—28no—
1421C22⋊C4—24no—
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—42no—
1433C22⋊C4—42no—
1434C22⋊C4—44no—
1435C22⋊C4—44no—
1436C22⋊C4—44no—
1437C22⋊C4—44no—
1438C22⋊C4—44no—
1439C22⋊C4—44no—
1440C22⋊C4—44no—
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⋊C4C22×D418yes—
1461C22⋊C4C22×D418yes—
1462C22⋊C4C22×D418yes—
1463C22⋊C4C22×D418yes—
1464C42—24no—
1465C42—24no—
1466C42—24no—
1467C42—24no—
1468C42—28no—
1469C42—28no—
1470C42—24no—
1471C42—24no—
1472C42—24no—
1473C42—24no—
1474C42—24no—
1475C42—42no—
1476C42—42no—
1477C42—44no—
1478C42—44no—
1479C42—44no—
1480C42—44no—
1481C23—22no—
1482C23—22no—
1483C23—21no—
1484C23—21no—
1485C23—21no—
1486C23—21no—
1487C23—22no—
1488C23—22no—
1489C23—22no—
1490C23—22no—
1491C23—28no—
1492C23—22no—
1493C23—24no—
1494C23—22no—
1495C23—24no—
1496C23—24no—
1497C23—22no—
1498C23—22no—
1499C23—22no—
1500C23—22no—
1501C23—24no—
1502C23—24no—
1503C23—24no—
1504C23—24no—
1505C23—24no—
1506C23—24no—
1507C23—24no—
1508C23—24no—
1509C23—44no—
1510C23—44no—
1511C23—48no—
1512C23—48no—
1513C23—44no—
1514C23—48no—
1515C23—84no—
1516C23—88no—
1517C23—84no—
1518C23—88no—
1519C23—82no—
1520C23—82no—
1521C23—162no—
1522C23—162no—
1523C23C23×D412yes—
1524C23C23×D412yes—
1525C23C23×D412yes—
1526C23#58512yes—
1527C23#58512yes—
1528C23C2611yescharacteristic
1529Q8—44no—
1530Q8—48no—
1531Q8—44no—
1532Q8—84no—
1533Q8—88no—
1534Q8—88no—
1535Q8—82no—
1536Q8—84no—
1537D4—48no—
1538D4—48no—
1539D4—48no—
1540D4—48no—
1541D4—48no—
1542D4—84no—
1543D4—82no—
1544D4—84no—
1545D4—84no—
1546D4—84no—
1547D4—88no—
1548D4—88no—
1549D4—88no—
1550D4—88no—
1551D4—164no—
1552D4—164no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—22no—
1556C2×C4—22no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—22no—
1560C2×C4—22no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—24no—
1566C2×C4—24no—
1567C2×C4—28no—
1568C2×C4—28no—
1569C2×C4—216no—
1570C2×C4—22no—
1571C2×C4—22no—
1572C2×C4—22no—
1573C2×C4—22no—
1574C2×C4—22no—
1575C2×C4—22no—
1576C2×C4—22no—
1577C2×C4—24no—
1578C2×C4—22no—
1579C2×C4—22no—
1580C2×C4—22no—
1581C2×C4—24no—
1582C2×C4—24no—
1583C2×C4—24no—
1584C2×C4—24no—
1585C2×C4—22no—
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—24no—
1607C2×C4—44no—
1608C2×C4—44no—
1609C2×C4—44no—
1610C2×C4—44no—
1611C2×C4—48no—
1612C2×C4—44no—
1613C2×C4—44no—
1614C2×C4—44no—
1615C2×C4—44no—
1616C2×C4—48no—
1617C2×C4—44no—
1618C2×C4—84no—
1619C2×C4—84no—
1620C2×C4—88no—
1621C2×C4—88no—
1622C2×C4—84no—
1623C2×C4—84no—
1624C2×C4—84no—
1625C2×C4—82no—
1626C2×C4—82no—
1627C2×C4—162no—
1628C2×C4—162no—
1629C2×C4C23×D414yes—
1630C2×C4C23×D412yes—
1631C2×C4C23×D412yes—
1632C2×C4C23×D414yes—
1633C2×C4C23×D412yes—
1634C2×C4C23×D414yes—
1635C2×C4C23×D414yes—
1636C2×C4C23×D412yes—
1637C22—22no—
1638C22—22no—
1639C22—24no—
1640C22—24no—
1641C22—22no—
1642C22—22no—
1643C22—22no—
1644C22—22no—
1645C22—22no—
1646C22—22no—
1647C22—42no—
1648C22—42no—
1649C22—42no—
1650C22—42no—
1651C22—42no—
1652C22—42no—
1653C22—44no—
1654C22—42no—
1655C22—44no—
1656C22—42no—
1657C22—44no—
1658C22—42no—
1659C22—42no—
1660C22—44no—
1661C22—44no—
1662C22—44no—
1663C22—44no—
1664C22—44no—
1665C22—44no—
1666C22—44no—
1667C22—44no—
1668C22—88no—
1669C22—816no—
1670C22—164no—
1671C22#348514yes—
1672C22C24×D411yescharacteristic
1673C22C2×#58511yescharacteristic
1674C22C2×#58511yescharacteristic
1675C22H(7,𝔽2)12yes—
1676C222−1+612yes—
1677C4—22no—
1678C4—22no—
1679C4—22no—
1680C4—22no—
1681C4—24no—
1682C4—24no—
1683C4—24no—
1684C4—24no—
1685C4—42no—
1686C4—42no—
1687C4—42no—
1688C4—42no—
1689C4—42no—
1690C4—42no—
1691C4—42no—
1692C4—44no—
1693C4—42no—
1694C4—42no—
1695C4—42no—
1696C4—44no—
1697C4—44no—
1698C4—44no—
1699C4—44no—
1700C2—24no—
1701C2—42no—
1702C2—42no—
1703C2—82no—
1704C2—84no—
1705C2—82no—
1706C2C2×#348511yescharacteristic
1707C2#6284811yescharacteristic
1708C2#6285211yescharacteristic
1709C2#6286912yes—
1710C2#6287212yes—
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×#542C2semidirect
3. #51976C2semidirect
4. #51900C2semidirect
5. #51892C2semidirect
6. #51891C2semidirect
7. #47216C2semidirect
8. #47212C2semidirect
9. #47205C2semidirect
10. #46827C2semidirect
11. #46820C2semidirect
12. #46816C2semidirect
13. #38917C2semidirect
14. #38912C2semidirect
15. #38905C2semidirect
16. #38900C2semidirect
17. #38047C2semidirect
18. #38044C2semidirect
19. #38031C2semidirect
20. #38028C2semidirect
21. #37446C2semidirect
22. #37440C2semidirect
23. #37233C2semidirect
24. #37187C2semidirect
25. #35182C2semidirect
26. #35157C2semidirect
27. #35097C2semidirect
28. #34987C2semidirect
29. #34359C2semidirect
31. C2×#563C22semidirect
32. C2×#562C22semidirect
33. C2×#554C22semidirect
36. C2×#551C22semidirect
39. C2×#544C22semidirect
40. C2×#543C22semidirect
45. C2×#542C22semidirect
46. C2×#542C22semidirect
47. C2×#542C22semidirect
48. C2×#542C22semidirect
50. C2×#539C22semidirect
51. C2×#539C22semidirect
52. C2×#538C22semidirect
54. C22×C4⋊Q8C22semidirect
55. C22×#126C22semidirect
57. C22×#124C22semidirect
62. C22×C22⋊Q8C22semidirect
64. C22×C4×Q8C22semidirect
65. C22×C4×D4C22semidirect
70. #2853C22semidirect
71. #2853C22semidirect
72. #2853C22semidirect
73. #2848C22semidirect
78. #2733C22semidirect
79. #2733C22semidirect
80. #2731C22semidirect
81. #2731C22semidirect
82. #2730C22semidirect
83. #2730C22semidirect
84. #2730C22semidirect
85. #2730C22semidirect
86. #2727C22semidirect
87. #2725C22semidirect
88. #2723C22semidirect
89. #2723C22semidirect
90. #2723C22semidirect
91. #2721C22semidirect
92. #2720C22semidirect
93. #2720C22semidirect
94. #2716C22semidirect
95. #2716C22semidirect
96. #2716C22semidirect
97. #2715C22semidirect
98. #2714C22semidirect
99. #2713C22semidirect
100. #2713C22semidirect
101. #2712C22semidirect
102. #2710C22semidirect
103. #2706C22semidirect
104. #2705C22semidirect
105. #2702C22semidirect
106. #2700C22semidirect
107. #2696C22semidirect
108. #2696C22semidirect
109. #2695C22semidirect
110. #2693C22semidirect
111. #2692C22semidirect
112. #2692C22semidirect
113. #2687C22semidirect
114. #2680C22semidirect
115. #2678C22semidirect
116. #2677C22semidirect
117. #2677C22semidirect
118. #2676C22semidirect
119. #2674C22semidirect
120. #2674C22semidirect
121. #2674C22semidirect
122. #2672C22semidirect
123. #2672C22semidirect
124. #2671C22semidirect
125. #2670C22semidirect
127. #2656C22semidirect
128. #2639C22semidirect
130. #2626C22semidirect
135. #2623C22semidirect
136. #2623C22semidirect
143. #2613C22semidirect
146. #2583C22semidirect
148. #2579C22semidirect
149. #2560C22semidirect
150. #2557C22semidirect
151. #2557C22semidirect
152. #2555C22semidirect
153. #2554C22semidirect
154. #2553C22semidirect
155. #2543C22semidirect
156. #2542C22semidirect
157. #2540C22semidirect
159. #2521C22semidirect
160. #2519C22semidirect
161. #2512C22semidirect
162. #2500C22semidirect
163. #2500C22semidirect
164. #2499C22semidirect
165. #2499C22semidirect
166. #2498C22semidirect
167. #2498C22semidirect
168. #2492C22semidirect
169. #2491C22semidirect
170. #2489C22semidirect
171. #2485C22semidirect
172. #2485C22semidirect
173. #2484C22semidirect
174. #2484C22semidirect
175. #2482C22semidirect
176. #2482C22semidirect
177. #2482C22semidirect
178. #2482C22semidirect
179. #2482C22semidirect
180. #2481C22semidirect
181. #2479C22semidirect
182. #2474C22semidirect
183. #2472C22semidirect
184. #2470C22semidirect
185. #2469C22semidirect
186. #2467C22semidirect
187. #2467C22semidirect
188. #2467C22semidirect
189. #2464C22semidirect
190. #2463C22semidirect
191. #2463C22semidirect
192. #2461C22semidirect
193. #2460C22semidirect
194. #2460C22semidirect
195. #2459C22semidirect
196. #2457C22semidirect
197. #2456C22semidirect
198. #2456C22semidirect
199. #2455C22semidirect
200. #2448C22semidirect
201. #2448C22semidirect
202. #2446C22semidirect
203. #2446C22semidirect
205. #2434C22semidirect
206. #2429C22semidirect
207. #2427C22semidirect
208. #2423C22semidirect
209. #2423C22semidirect
210. #2422C22semidirect
211. #2421C22semidirect
212. #2421C22semidirect
213. #2418C22semidirect
214. #2417C22semidirect
215. #2415C22semidirect
220. #2411C22semidirect
221. #2411C22semidirect
225. #2409C22semidirect
229. #2404C22semidirect
231. #2378C22semidirect
232. #2368C22semidirect
233. #2344C22semidirect
234. #2344C22semidirect
237. #2332C22semidirect
238. #2332C22semidirect
239. #2329C22semidirect
240. #2329C22semidirect
242. #2321C22semidirect
243. #2317C22semidirect
244. #2317C22semidirect
245. #2317C22semidirect
248. #2313C22semidirect
250. #2311C22semidirect
251. #2311C22semidirect
252. #2310C22semidirect
256. C4×#120C22semidirect
258. #2296C22semidirect
353. 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×#5422
#519762
#519002
#518922
#518912
#472162
#472122
#472052
#468272
#468202
#468162
#389172
#389122
#389052
#389002
#380472
#380442
#380312
#380282
#374462
#374402
#372332
#371872
#351822
#351572
#350972
#349872
#343592