Finite Group Databasebeta

← #7715654

Subgroups — #7715654

Order 512.

6498 conjugacy classes of subgroups.

The subgroup lattice has 1656 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3547C211yesmaximal, characteristic, complemented
2C2×#3455C211yesmaximal, characteristic, complemented
3#50171C212yesmaximal, complemented
4#50170C212yesmaximal, complemented
5#49570C214yesmaximal, complemented
6#48781C212yesmaximal, complemented
7#48780C212yesmaximal, complemented
8#47857C214yesmaximal, complemented
9#47822C214yesmaximal, complemented
10#47800C214yesmaximal, complemented
11#47768C214yesmaximal, complemented
12#47716C214yesmaximal, complemented
13#38050C212yesmaximal, complemented
14#38048C212yesmaximal, complemented
15#38043C212yesmaximal, complemented
16#38040C212yesmaximal, complemented
17#38035C212yesmaximal, complemented
18#38032C212yesmaximal, complemented
19#38027C212yesmaximal, complemented
20#38025C212yesmaximal, complemented
21#37641C211yesmaximal, characteristic, complemented
22#37551C211yesmaximal, characteristic, complemented
23#37374C212yesmaximal, complemented
24#37268C212yesmaximal, complemented
25#35325C211yesmaximal, characteristic, complemented
26#35307C212yesmaximal, complemented
27#35302C211yesmaximal, characteristic, complemented
28#35255C212yesmaximal, complemented
29#34367C211yesmaximal, characteristic, complemented
30#3547—216no—
31C2×#562C2214yes—
32C2×#555C2212yes—
33C2×#555C2211yescharacteristic, complemented
34C2×#554C2211yescharacteristic, complemented
35C2×#553C2212yes—
36C2×#552C2212yescomplemented
37C2×D4×Q8C2211yescharacteristic, complemented
38C2×#548C2212yescomplemented
39C2×#547C2211yescharacteristic, complemented
40C2×#544C2212yescomplemented
41#3455—216no—
42C2×#542C2212yes—
43C2×#542C2212yes—
44C2×#542C2214yescomplemented
45C2×#541C2212yes—
46C2×#540C2212yes—
47C2×#540C2212yescomplemented
48C2×#539C2211yescharacteristic
49C2×#539C2211yescharacteristic
50C2×#539C2212yes—
51C2×#538C2212yes—
52C2×#538C2211yescharacteristic
53C2×#538C2211yescharacteristic
54C2×#537C2212yes—
55C2×#536C2212yes—
56C2×#533C2211yescharacteristic
57C2×#533C2211yescharacteristic
58C2×#532C2211yescharacteristic
59C2×#529C2211yescharacteristic
60C2×#529C2212yes—
61C2×#529C2212yes—
62C2×#529C2212yes—
63C2×#529C2212yes—
64C2×#525C2212yes—
65C2×C4×#41C2212yes—
66C22×#117C2211yescharacteristic
67#2855C2212yes—
68#2855C2211yescharacteristic
69#2855C2212yescomplemented
70#2855C2212yescomplemented
71#2855C2212yescomplemented
72#2854C2211yescharacteristic
73#2854C2212yescomplemented
74#2848C2212yes—
75#2848C2211yescharacteristic
76#2847C2211yescharacteristic
77#2822C2214yescomplemented
78#2821C2212yescomplemented
79#2821C2212yescomplemented
80#2732C2214yes—
81#2729C2214yes—
82#2729C2214yes—
83#2728C2214yes—
84#2726C2214yescomplemented
85#2725C2214yes—
86#2724C2214yes—
87#2724C2214yescomplemented
88#2722C2214yescomplemented
89#2721C2214yes—
90#2719C2214yescomplemented
91#2718C2214yes—
92#2717C2214yes—
93#2716C2214yes—
94#2715C2214yes—
95#2715C2214yescomplemented
96#2713C2214yescomplemented
97#2712C2214yes—
98#2710C2214yes—
99#2710C2214yes—
100#2708C2214yes—
101#2708C2214yes—
102#2708C2214yes—
103#2708C2214yescomplemented
104#2708C2214yescomplemented
105#2706C2214yes—
106#2704C2214yescomplemented
107#2702C2214yes—
108#2701C2214yes—
109#2701C2214yes—
110#2701C2214yescomplemented
111#2700C2214yes—
112#2700C2214yescomplemented
113#2699C2214yes—
114#2698C2214yescomplemented
115#2698C2214yescomplemented
116#2697C2214yes—
117#2689C2214yescomplemented
118#2688C2214yes—
119#2688C2214yes—
120#2687C2214yescomplemented
121#2684C2214yes—
122#2678C2214yes—
123#2674C2214yes—
124#2674C2214yescomplemented
125#2671C2214yes—
126#2671C2214yes—
127#2668C2214yes—
128#2663C2214yes—
129#2638C2212yes—
130#2638C2212yes—
131#2629C2212yes—
132#2628C2212yes—
133#2625C2212yes—
134#2625C2212yes—
135#2625C2212yes—
136#2625C2212yes—
137#2625C2212yes—
138#2625C2212yescomplemented
139#2625C2212yescomplemented
140#2625C2212yescomplemented
141#2624C2212yes—
142#2624C2212yescomplemented
143#2621C2214yes—
144#2621C2212yes—
145#2620C2212yes—
146#2611C2214yes—
147#2611C2214yescomplemented
148#2609C2214yes—
149#2601C2214yes—
150#2599C2214yes—
151#2592C2211yescharacteristic, complemented
152#2592C2211yescharacteristic, complemented
153#2584C2211yescharacteristic, complemented
154#2584C2211yescharacteristic, complemented
155#2583C2212yes—
156#2582C2212yescomplemented
157#2582C2212yescomplemented
158#2581C2212yescomplemented
159#2580C2212yescomplemented
160#2579C2212yes—
161#2568C2212yescomplemented
162#2568C2212yescomplemented
163#2561C2212yes—
164#2560C2214yes—
165#2557C2214yes—
166#2556C2214yescomplemented
167#2553C2214yescomplemented
168#2549C2214yescomplemented
169#2546C2212yescomplemented
170#2546C2212yescomplemented
171#2543C2214yes—
172#2534C2212yes—
173#2521C2214yescomplemented
174#2519C2214yes—
175#2506C2214yescomplemented
176#2491C2214yes—
177#2488C2214yes—
178#2488C2214yes—
179#2487C2212yes—
180#2486C2212yes—
181#2486C2214yescomplemented
182#2485C2212yes—
183#2485C2212yes—
184#2484C2212yes—
185#2482C2212yes—
186#2481C2214yes—
187#2479C2214yes—
188#2478C2214yescomplemented
189#2475C2214yescomplemented
190#2474C2214yes—
191#2473C2214yescomplemented
192#2466C2214yescomplemented
193#2459C2214yes—
194#2450C2214yescomplemented
195#2447C2214yes—
196#2447C2214yes—
197#2446C2214yescomplemented
198#2446C2214yescomplemented
199#2444C2214yes—
200#2444C2214yes—
201#2444C2214yescomplemented
202#2443C2214yes—
203#2443C2214yes—
204#2443C2214yescomplemented
205#2440C2214yescomplemented
206#2438C2214yescomplemented
207#2425C2214yes—
208#2425C2214yes—
209#2425C2214yescomplemented
210#2423C2214yescomplemented
211#2422C2214yes—
212#2421C2214yescomplemented
213#2420C2214yes—
214#2419C2214yes—
215#2419C2214yes—
216#2419C2214yescomplemented
217#2419C2214yescomplemented
218#2419C2214yescomplemented
219#2419C2214yescomplemented
220#2417C2212yes—
221#2417C2212yes—
222#2417C2212yes—
223#2416C2212yes—
224#2415C2212yes—
225#2415C2212yes—
226#2415C2212yes—
227#2414C2212yes—
228#2413C2214yes—
229#2413C2212yes—
230#2411C2212yes—
231#2409C2212yes—
232#2409C2212yes—
233#2407C2212yes—
234#2407C2212yes—
235#2377C2212yes—
236#2377C2212yes—
237#2363C2214yes—
238#2354C2212yescomplemented
239#2352C2212yescomplemented
240#2352C2212yescomplemented
241D4×C4⋊C4C2212yescomplemented
242#2337C2214yescomplemented
243#2331C2212yescomplemented
244#2328C2212yescomplemented
245#2324C2212yes—
246#2323C2212yes—
247#2323C2212yes—
248#2323C2212yes—
249#2317C2212yescomplemented
250#2316C2212yescomplemented
251#2311C2212yes—
252#2311C2212yes—
253#2311C2212yescomplemented
254#2310C2212yescomplemented
255#2297C2212yescomplemented
256#2296C2212yescomplemented
257C2×#391C2212yescomplemented
258C2×#389C2212yescomplemented
259#2285C2211yescharacteristic
260#2283C2211yescharacteristic
261C22×#41C2312yes—
262C22×#41C2312yes—
263C23×Q8C2312yes—
264C24×C4C2311yescharacteristic
265#562—232no—
266#555—216no—
267#555—28no—
268#554—28no—
269#553—216no—
270#552—216no—
271D4×Q8—28no—
272#548—216no—
273#547—28no—
274#544—216no—
275#542—216no—
276#542—216no—
277#542—232no—
278#541—216no—
279#540—216no—
280#540—216no—
281#539—28no—
282#539—28no—
283#539—216no—
284#538—28no—
285#538—28no—
286#538—216no—
287#537—216no—
288#536—216no—
289#533—28no—
290#533—28no—
291#532D4116yescomplemented
292C2×C4⋊Q8C2311yescharacteristic
293C2×C4⋊Q8C2311yescharacteristic
294C2×C4⋊Q8C2311yescharacteristic
295C2×C4⋊Q8C2311yescharacteristic
296C2×C4⋊Q8C2314yes—
297C2×C4⋊Q8C2312yes—
298C2×C4⋊Q8C2314yes—
299C2×C4⋊Q8C2311yescharacteristic
300C2×#127C2311yescharacteristic
301#529—216no—
302#529—216no—
303#529—216no—
304#529—216no—
305#529—28no—
306C2×#126C2312yes—
307C2×#126C2312yes—
308C2×#126C2312yes—
309C2×#126C2312yes—
310C2×#126C2312yes—
311C2×#126C2312yes—
312C2×#126C2312yes—
313C2×#126C2312yes—
314C2×#126C2312yes—
315C2×#126C2314yes—
316C2×#125C2312yes—
317C2×#125C2312yes—
318C2×#125C2311yescharacteristic
319C2×#125C2312yes—
320C2×#125C2312yes—
321C2×#125C2312yes—
322C2×#125C2312yes—
323C2×#125C2314yes—
324C2×#125C2312yes—
325C2×#124C2311yescharacteristic
326C2×#124C2312yes—
327C2×#124C2312yes—
328C2×#124C2312yes—
329C2×#124C2312yes—
330C2×#124C2314yes—
331C2×#124C2314yes—
332C2×#124C2314yes—
333C2×#124C2312yes—
334#525—216no—
335C2×#123C2312yes—
336C2×#123C2312yes—
337C2×#123C2312yes—
338C2×#123C2312yes—
339C2×#123C2312yes—
340C2×#123C2312yes—
341C2×#123C2312yes—
342C2×#123C2312yes—
343C2×#123C2312yes—
344C2×#123C2312yes—
345C2×#123C2312yes—
346C2×#123C2314yes—
347C2×#123C2314yes—
348C2×#123C2314yes—
349C2×#123C2314yes—
350C2×#123C2312yes—
351C2×#123C2314yes—
352C2×#123C2314yes—
353C2×C22⋊Q8C2314yes—
354C2×C22⋊Q8C2312yes—
355C2×C22⋊Q8C2311yescharacteristic
356C2×C22⋊Q8C2312yes—
357C2×C22⋊Q8C2312yes—
358C2×C22⋊Q8C2312yes—
359C2×C22⋊Q8C2312yes—
360C2×C22⋊Q8C2312yes—
361C2×C22⋊Q8C2311yescharacteristic
362C2×C22⋊Q8C2311yescharacteristic
363C2×C22⋊Q8C2312yes—
364C2×C22⋊Q8C2312yes—
365C2×C22⋊Q8C2312yes—
366C2×C22⋊Q8C2312yes—
367C2×C22⋊Q8C2312yes—
368C2×C22⋊Q8C2312yes—
369C2×C22⋊Q8C2314yes—
370C2×C22⋊Q8C2314yes—
371C2×C22⋊Q8C2314yes—
372C2×C22⋊Q8C2312yes—
373C2×C22⋊Q8C2312yes—
374C2×C22⋊Q8C2312yes—
375C2×#121C2311yescharacteristic
376C2×#121C2312yes—
377C2×#121C2312yes—
378C2×#121C2312yes—
379C2×#121C2314yes—
380C2×#121C2312yes—
381C2×#121C2312yes—
382C2×#121C2314yes—
383C2×#121C2312yes—
384C2×#121C2312yes—
385C2×#121C2312yes—
386C2×#121C2314yes—
387C2×#121C2314yes—
388C2×#121C2312yes—
389C2×#121C2312yes—
390C2×#121C2314yes—
391C2×#121C2312yes—
392C2×#121C2311yescharacteristic
393C2×#121C2311yescharacteristic
394C2×#120C2312yes—
395C2×#120C2312yes—
396C2×#120C2312yes—
397C4×#41—216no—
398C2×C4×Q8C2312yes—
399C2×C4×Q8C2312yes—
400C2×C4×Q8C2311yescharacteristic
401C2×C4×Q8C2312yes—
402C2×C4×Q8C2311yescharacteristic
403C2×C4×Q8C2311yescharacteristic
404C2×C4×Q8C2312yes—
405C2×C4×Q8C2312yes—
406C2×C4×D4C2312yes—
407C2×C4×D4C2311yescharacteristic
408C2×C4×D4C2312yes—
409C2×C4×D4C2312yes—
410C2×C4×D4C2312yes—
411C2×C4×D4C2312yes—
412C2×C4×D4C2312yes—
413C2×C4×D4C2312yes—
414C2×C4×D4C2312yes—
415C2×C4×D4C2312yes—
416C2×C4×D4C2312yes—
417C2×C4×D4C2312yes—
418C2×C4×D4C2312yes—
419C2×C4×D4C2312yes—
420C2×C4×D4C2314yes—
421C2×C4×D4C2314yes—
422C2×C4×D4C2312yes—
423C2×C4×D4C2311yescharacteristic
424C2×C4×D4C2311yescharacteristic
425C2×#117—28no—
426C2×#117C2312yes—
427C2×#117C2312yes—
428C2×#117C2312yes—
429C2×#117C2312yes—
430C2×#117C2312yes—
431C2×#117C2312yes—
432C2×#117C2312yes—
433C2×#117C2312yes—
434C2×#117C2312yes—
435C2×#117C2312yes—
436C2×#117C2314yes—
437C2×#117C2312yes—
438C2×#117C2312yes—
439C2×#117C2312yes—
440C2×#117C2312yes—
441C22×C4⋊C4C2312yes—
442C22×C4⋊C4C2311yescharacteristic
443C22×C4⋊C4C2311yescharacteristic
444C22×C4⋊C4C2312yes—
445C22×C4⋊C4C2312yes—
446C22×C4⋊C4C2312yes—
447C22×C4⋊C4C2314yes—
448C22×C22⋊C4C2311yescharacteristic
449C22×C22⋊C4C2311yescharacteristic
450C22×C42C2311yescharacteristic
451C22×C42C2312yes—
452C22×C42C2312yes—
453C22×C42C2311yescharacteristic
454#400C2314yes—
455#400C2314yes—
456#400C2314yes—
457#400C2314yes—
458#400C2314yes—
459#400C2314yes—
460#400C2314yes—
461#400C2314yes—
462#400C2314yes—
463#400C2314yes—
464#400C2314yes—
465#399C2314yes—
466#399C2314yes—
467#399C2314yes—
468#399C2314yes—
469#399C2314yes—
470#398C2314yes—
471#398C2312yes—
472#398C2312yes—
473#398C2314yes—
474#398C2314yes—
475#398C2314yes—
476#398C2314yes—
477#398C2314yes—
478#398C2314yes—
479#398C2314yes—
480#398C2314yes—
481#398C2314yes—
482#398C2314yes—
483#398C2314yes—
484#398C2314yes—
485#398C2314yes—
486#398C2314yes—
487#398C2314yes—
488#398C2314yes—
489#398C2314yes—
490#398C2314yes—
491#398C2314yes—
492#397C2314yes—
493#397C2314yes—
494#397C2312yes—
495#397C2312yes—
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#397C2314yes—
509#397C2314yes—
510#397C2314yes—
511#397C2314yes—
512#397C2314yes—
513#397C2314yes—
514#397C2314yes—
515#397C2314yes—
516#396C2314yes—
517#396C2314yes—
518#396C2314yes—
519#396C2314yes—
520#396C2314yes—
521#396C2314yes—
522#396C2314yes—
523#396C2314yes—
524#395C2314yes—
525#395C2312yes—
526#395C2312yes—
527#395C2314yes—
528#395C2314yes—
529#395C2314yes—
530#394C2314yes—
531#394C2314yes—
532#394C2314yes—
533#394C2314yes—
534#394C2314yes—
535#394C2314yes—
536#394C2314yes—
537#394C2314yes—
538#394C2314yes—
539#394C2314yes—
540#394C2314yes—
541#394C2314yes—
542#394C2314yes—
543#394C2314yes—
544#394C2314yes—
545#393C2314yes—
546#393C2314yes—
547#393C2314yes—
548#393C2312yes—
549#393C2312yes—
550#393C2314yes—
551#392C2314yes—
552#392C2314yes—
553#392C2314yes—
554#391C2314yes—
555#391C2312yes—
556#391C2312yes—
557#391C2312yes—
558#391C2312yes—
559#391C2314yes—
560#391C2314yes—
561#391C2314yes—
562#391C2312yes—
563#391C2312yes—
564#391C2312yes—
565#391C2312yes—
566#391C2314yes—
567#391C2314yes—
568#391C2314yes—
569#391C2314yes—
570#391C2312yes—
571#391C2314yes—
572#391C2314yes—
573#390C2314yes—
574#390C2314yes—
575#390C2314yes—
576#390C2312yes—
577#390C2312yes—
578#390C2314yes—
579#390C2312yes—
580#390C2314yes—
581#389C2312yes—
582#389C2312yes—
583#389C2312yes—
584#389C2312yes—
585#389C2314yes—
586#389C2314yes—
587#389C2312yes—
588#389C2312yes—
589#389C2312yes—
590#389C2312yes—
591#389C2314yes—
592#389C2314yes—
593#389C2314yes—
594#389C2312yes—
595#389C2312yes—
596#389C2312yes—
597#389C2312yes—
598#389C2314yes—
599#389C2314yes—
600#389C2314yes—
601#389C2314yes—
602#389C2314yes—
603#389C2314yes—
604#389C2314yes—
605#389C2314yes—
606#389C2314yes—
607#389C2314yes—
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#388C2314yes—
624#388C2314yes—
625#388C2314yes—
626#388C2314yes—
627#388C2314yes—
628#388C2314yes—
629#388C2314yes—
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#387C2314yes—
646#387C2314yes—
647#387C2314yes—
648#386C2314yes—
649#386C2314yes—
650#386C2314yes—
651#386C2314yes—
652#386C2314yes—
653#386C2314yes—
654#386C2314yes—
655#386C2312yes—
656#386C2312yes—
657#386C2314yes—
658#386C2314yes—
659#386C2314yes—
660#386C2314yes—
661#386C2314yes—
662#386C2314yes—
663#386C2314yes—
664#386C2314yes—
665#386C2314yes—
666#386C2314yes—
667#386C2314yes—
668#386C2314yes—
669#386C2314yes—
670#386C2314yes—
671#386C2314yes—
672#385C2314yes—
673#385C2314yes—
674#385C2314yes—
675#385C2312yes—
676#385C2312yes—
677#385C2314yes—
678#385C2314yes—
679#385C2314yes—
680#385C2314yes—
681#385C2314yes—
682#385C2314yes—
683#385C2314yes—
684#385C2314yes—
685#385C2314yes—
686#385C2314yes—
687#385C2314yes—
688#385C2314yes—
689#385C2314yes—
690#385C2314yes—
691#385C2314yes—
692#385C2314yes—
693#385C2314yes—
694#385C2314yes—
695#385C2314yes—
696#384C2314yes—
697#384C2312yes—
698#383C2312yes—
699#382C2312yes—
700#382C2314yes—
701#382C2314yes—
702#382C2312yes—
703#381C2314yes—
704#381C2314yes—
705#381C2314yes—
706#381C2312yes—
707#381C2314yes—
708#381C2314yes—
709#381C2314yes—
710#381C2312yes—
711#381C2314yes—
712#380C2311yescharacteristic
713#380C2311yescharacteristic
714#380C2312yes—
715#380C2312yes—
716#380C2312yes—
717#380C2312yes—
718#380C2312yes—
719#380C2314yes—
720#380C2314yes—
721#380C2314yes—
722#380C2314yes—
723#380C2312yes—
724#380C2312yes—
725#380C2312yes—
726#380C2312yes—
727#380C2312yes—
728#380C2314yes—
729#380C2314yes—
730#380C2314yes—
731#379C2314yes—
732#379C2312yes—
733C4×C4⋊C4C2314yes—
734C4×C4⋊C4C2312yes—
735C4×C4⋊C4C2312yes—
736C4×C4⋊C4C2311yescharacteristic
737C4×C4⋊C4C2311yescharacteristic
738C4×C4⋊C4C2314yes—
739C4×C4⋊C4C2314yes—
740C4×C22⋊C4C2314yes—
741C4×C22⋊C4C2312yes—
742C4×C22⋊C4C2314yes—
743C4×C22⋊C4C2314yes—
744C4×C22⋊C4C2314yes—
745#376C2312yes—
746C2×#95C2314yes—
747C2×#95C2314yes—
748C2×#95C2314yes—
749C25C2411yescharacteristic
750C2×#41—28no—
751C2×#41—44no—
752C2×#41—44no—
753C2×#41—44no—
754C2×#41—44no—
755C2×#41C2×D4116yes—
756C22×Q8—28no—
757C22×Q8—44no—
758C22×Q8—44no—
759C22×Q8C2411yescharacteristic
760C22×Q8C2412yes—
761C22×Q8C2412yes—
762C22×Q8C2412yes—
763C22×Q8C2411yescharacteristic
764C22×Q8C2411yescharacteristic
765C22×Q8C2414yes—
766C22×Q8C2412yes—
767C22×D4C2411yescharacteristic
768C22×D4C2412yes—
769C22×D4C2412yes—
770C22×D4C2412yes—
771C22×D4C2412yes—
772C22×D4C2412yes—
773C22×D4C2414yes—
774C22×D4C2414yes—
775C22×D4C2414yes—
776C22×D4C2412yes—
777C22×D4C2411yescharacteristic
778C22×D4C2411yescharacteristic
779C22×D4C2412yes—
780C22×D4C2412yes—
781C22×D4C2412yes—
782C23×C4—24no—
783C23×C4—44no—
784C23×C4C2412yes—
785C23×C4C2412yes—
786C23×C4C2412yes—
787C23×C4C2411yescharacteristic
788C23×C4C2411yescharacteristic
789C23×C4C2411yescharacteristic
790C23×C4C2414yes—
791C23×C4C2412yes—
792C23×C4C2411yescharacteristic
793C23×C4C2412yes—
794C23×C4C2414yes—
795C23×C4C2412yes—
796C23×C4C2412yes—
797C23×C4C2414yes—
798C23×C4C2412yes—
799C23×C4C2412yes—
800C23×C4C2414yes—
801C23×C4C2414yes—
802C23×C4C2411yescharacteristic
803C23×C4C2411yescharacteristic
804C4⋊Q8—216no—
805C4⋊Q8—28no—
806C4⋊Q8—24no—
807C4⋊Q8—24no—
808C4⋊Q8—24no—
809C4⋊Q8—24no—
810C4⋊Q8—84no—
811C4⋊Q8C2×D418yes—
812#127C2×D418yes—
813#126—28no—
814#126—28no—
815#126—28no—
816#126—28no—
817#126—28no—
818#126—28no—
819#126—28no—
820#126—28no—
821#126—216no—
822#126—28no—
823#125—28no—
824#125—28no—
825#125—28no—
826#125—28no—
827#125—216no—
828#125—28no—
829#125—24no—
830#125—28no—
831#125—28no—
832#124—216no—
833#124—28no—
834#124—28no—
835#124—28no—
836#124—28no—
837#124—216no—
838#124—216no—
839#124—24no—
840#124C2×D4116yes—
841#123—28no—
842#123—28no—
843#123—28no—
844#123—28no—
845#123—28no—
846#123—28no—
847#123—216no—
848#123—216no—
849#123—216no—
850#123—28no—
851#123—28no—
852#123—28no—
853#123—28no—
854#123—28no—
855#123—216no—
856#123—82no—
857#123—84no—
858#123—84no—
859C22⋊Q8—28no—
860C22⋊Q8—28no—
861C22⋊Q8—216no—
862C22⋊Q8—24no—
863C22⋊Q8—28no—
864C22⋊Q8—24no—
865C22⋊Q8—24no—
866C22⋊Q8—28no—
867C22⋊Q8—28no—
868C22⋊Q8—28no—
869C22⋊Q8—28no—
870C22⋊Q8—28no—
871C22⋊Q8—216no—
872C22⋊Q8—28no—
873C22⋊Q8—28no—
874C22⋊Q8—28no—
875C22⋊Q8—28no—
876C22⋊Q8—216no—
877C22⋊Q8—216no—
878C22⋊Q8—44no—
879C22⋊Q8—44no—
880C22⋊Q8—44no—
881#121—28no—
882#121—28no—
883#121—28no—
884#121—28no—
885#121—28no—
886#121—28no—
887#121—216no—
888#121—216no—
889#121—216no—
890#121—28no—
891#121—216no—
892#121—28no—
893#121—24no—
894#121—28no—
895#121—44no—
896#121—84no—
897#121C2×D418yes—
898#121C2×D418yes—
899#121C2×D4116yes—
900#120—28no—
901#120—28no—
902#120—82no—
903C4×Q8—28no—
904C4×Q8—28no—
905C4×Q8—28no—
906C4×Q8—24no—
907C4×Q8—24no—
908C4×Q8—24no—
909C4×Q8—28no—
910C4×Q8—28no—
911C4×D4—28no—
912C4×D4—28no—
913C4×D4—28no—
914C4×D4—28no—
915C4×D4—28no—
916C4×D4—28no—
917C4×D4—28no—
918C4×D4—28no—
919C4×D4—28no—
920C4×D4—28no—
921C4×D4—28no—
922C4×D4—28no—
923C4×D4—28no—
924C4×D4—216no—
925C4×D4—24no—
926C4×D4—84no—
927C4×D4C2×D418yes—
928C4×D4C2×D4116yes—
929C4×D4C2×D418yes—
930#117—28no—
931#117—28no—
932#117—28no—
933#117—28no—
934#117—28no—
935#117—28no—
936#117—216no—
937#117—28no—
938#117—28no—
939#117—28no—
940#117—28no—
941#117—28no—
942#117—44no—
943#117—44no—
944#117—82no—
945C2×C4⋊C4—24no—
946C2×C4⋊C4—24no—
947C2×C4⋊C4—28no—
948C2×C4⋊C4—28no—
949C2×C4⋊C4—44no—
950C2×C4⋊C4—44no—
951C2×C4⋊C4—84no—
952C2×C4⋊C4C2411yescharacteristic
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2414yes—
963C2×C4⋊C4C2414yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2411yescharacteristic
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2411yescharacteristic
992C2×C4⋊C4C2411yescharacteristic
993C2×C4⋊C4C2414yes—
994C2×C4⋊C4C2414yes—
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⋊C4C2414yes—
1012C2×C4⋊C4C2411yescharacteristic
1013C2×C4⋊C4C2411yescharacteristic
1014C2×C4⋊C4C2412yes—
1015C2×C22⋊C4—24no—
1016C2×C22⋊C4—24no—
1017C2×C22⋊C4C2412yes—
1018C2×C22⋊C4C2412yes—
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2412yes—
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2414yes—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2414yes—
1031C2×C22⋊C4C2414yes—
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2414yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2414yes—
1052C2×C22⋊C4C2414yes—
1053C2×C22⋊C4C2414yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2414yes—
1058C2×C22⋊C4C2414yes—
1059C2×C22⋊C4C2414yes—
1060C2×C22⋊C4C2414yes—
1061C2×C22⋊C4C2414yes—
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2414yes—
1064C2×C22⋊C4C2414yes—
1065C2×C22⋊C4C2414yes—
1066C2×C22⋊C4C2414yes—
1067C2×C22⋊C4C2414yes—
1068C2×C22⋊C4C2414yes—
1069C2×C22⋊C4C2412yes—
1070C2×C22⋊C4C2412yes—
1071C2×C22⋊C4C2412yes—
1072C2×C22⋊C4C2412yes—
1073C2×C42—24no—
1074C2×C42—28no—
1075C2×C42—28no—
1076C2×C42C2×D418yes—
1077C2×C42C2412yes—
1078C2×C42C2414yes—
1079C2×C42C2412yes—
1080C2×C42C2412yes—
1081C2×C42C2412yes—
1082C2×C42C2414yes—
1083C2×C42C2412yes—
1084C2×C42C2412yes—
1085C2×C42C2412yes—
1086C2×C42C2412yes—
1087C2×C42C2412yes—
1088C2×C42C2414yes—
1089C2×C42C2414yes—
1090C2×C42C2414yes—
1091C2×C42C2412yes—
1092C2×C42C2412yes—
1093C2×C42C2411yescharacteristic
1094C2×C42C2411yescharacteristic
1095C2×C42C2411yescharacteristic
1096C2×C42C2411yescharacteristic
1097#95C2414yes—
1098#95C2414yes—
1099#95C2414yes—
1100#95C2414yes—
1101#95C2414yes—
1102#95C2414yes—
1103#95C2414yes—
1104#95C2414yes—
1105#95C2414yes—
1106#95C2414yes—
1107#95C2414yes—
1108#95C2414yes—
1109#95C2414yes—
1110#95C2414yes—
1111#95C2414yes—
1112#95C2414yes—
1113#95C2414yes—
1114#95C2414yes—
1115#95C2414yes—
1116#95C2414yes—
1117#95C2414yes—
1118#95C2414yes—
1119#95C2412yes—
1120#95C2414yes—
1121#95C2412yes—
1122#95C2414yes—
1123#95C2414yes—
1124#95C2414yes—
1125#95C2412yes—
1126#95C2412yes—
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—
1143C24—22no—
1144C24—42no—
1145C24—41no—
1146C24—42no—
1147C24—41no—
1148C24C2512yes—
1149C24C2512yes—
1150C24C2511yescharacteristic
1151C24C2512yes—
1152C24C2512yes—
1153#41—432no—
1154#41—816no—
1155C2×Q8—22no—
1156C2×Q8—24no—
1157C2×Q8—22no—
1158C2×Q8—22no—
1159C2×Q8—24no—
1160C2×Q8—24no—
1161C2×Q8—28no—
1162C2×Q8—24no—
1163C2×Q8—24no—
1164C2×Q8—24no—
1165C2×Q8—42no—
1166C2×Q8—42no—
1167C2×Q8—42no—
1168C2×Q8—42no—
1169C2×Q8—44no—
1170C2×Q8—44no—
1171C2×Q8—42no—
1172C2×Q8—42no—
1173C2×Q8—42no—
1174C2×Q8—42no—
1175C2×Q8—816no—
1176C2×Q8C22×D418yes—
1177C2×D4—24no—
1178C2×D4—24no—
1179C2×D4—24no—
1180C2×D4—24no—
1181C2×D4—24no—
1182C2×D4—28no—
1183C2×D4—28no—
1184C2×D4—22no—
1185C2×D4—24no—
1186C2×D4—42no—
1187C2×D4—42no—
1188C2×D4—42no—
1189C2×D4—42no—
1190C2×D4—42no—
1191C2×D4—42no—
1192C2×D4—42no—
1193C2×D4—42no—
1194C2×D4—42no—
1195C2×D4—42no—
1196C2×D4—42no—
1197C2×D4—42no—
1198C2×D4—44no—
1199C2×D4—42no—
1200C2×D4—42no—
1201C2×D4—42no—
1202C2×D4—42no—
1203C2×D4—44no—
1204C2×D4—42no—
1205C2×D4—42no—
1206C2×D4—42no—
1207C2×D4—42no—
1208C2×D4—44no—
1209C2×D4—44no—
1210C2×D4—44no—
1211C2×D4—44no—
1212C2×D4—44no—
1213C2×D4C22×D414yes—
1214C2×D4C22×D414yes—
1215C2×D4C22×D418yes—
1216C2×D4C22×D418yes—
1217C2×D4C22×D418yes—
1218C2×D4C22×D418yes—
1219C22×C4—24no—
1220C22×C4—24no—
1221C22×C4—24no—
1222C22×C4—24no—
1223C22×C4—24no—
1224C22×C4—22no—
1225C22×C4—22no—
1226C22×C4—22no—
1227C22×C4—24no—
1228C22×C4—24no—
1229C22×C4—24no—
1230C22×C4—24no—
1231C22×C4—28no—
1232C22×C4—28no—
1233C22×C4—24no—
1234C22×C4—24no—
1235C22×C4—24no—
1236C22×C4—24no—
1237C22×C4—24no—
1238C22×C4—28no—
1239C22×C4—41no—
1240C22×C4—42no—
1241C22×C4—42no—
1242C22×C4—42no—
1243C22×C4—41no—
1244C22×C4—42no—
1245C22×C4—44no—
1246C22×C4—44no—
1247C22×C4—42no—
1248C22×C4—44no—
1249C22×C4—44no—
1250C22×C4—41no—
1251C22×C4—42no—
1252C22×C4—44no—
1253C22×C4—42no—
1254C22×C4—42no—
1255C22×C4—42no—
1256C22×C4—42no—
1257C22×C4—42no—
1258C22×C4—42no—
1259C22×C4—44no—
1260C22×C4—41no—
1261C22×C4—42no—
1262C22×C4—44no—
1263C22×C4—44no—
1264C22×C4—44no—
1265C22×C4—44no—
1266C22×C4—44no—
1267C22×C4—44no—
1268C22×C4—44no—
1269C22×C4—416no—
1270C22×C4C22×D414yes—
1271C22×C4C22×D418yes—
1272C22×C4C22×D418yes—
1273C22×C4C22×D414yes—
1274C22×C4C22×D414yes—
1275C22×C4C2514yes—
1276C22×C4C2514yes—
1277C22×C4C2514yes—
1278C22×C4C2512yes—
1279C22×C4C2514yes—
1280C22×C4C2512yes—
1281C22×C4C2512yes—
1282C22×C4C2512yes—
1283C22×C4C2514yes—
1284C22×C4C2512yes—
1285C22×C4C2512yes—
1286C22×C4C2512yes—
1287C22×C4C2514yes—
1288C22×C4C2512yes—
1289C22×C4C2512yes—
1290C22×C4C2512yes—
1291C22×C4C2511yescharacteristic
1292C22×C4C2511yescharacteristic
1293C22×C4C2511yescharacteristic
1294C22×C4C2511yescharacteristic
1295C22×C4C2512yes—
1296C22×C4C2512yes—
1297C22×C4C2511yescharacteristic
1298C22×C4C2511yescharacteristic
1299C4⋊C4—22no—
1300C4⋊C4—24no—
1301C4⋊C4—24no—
1302C4⋊C4—24no—
1303C4⋊C4—24no—
1304C4⋊C4—24no—
1305C4⋊C4—24no—
1306C4⋊C4—28no—
1307C4⋊C4—28no—
1308C4⋊C4—24no—
1309C4⋊C4—22no—
1310C4⋊C4—24no—
1311C4⋊C4—24no—
1312C4⋊C4—24no—
1313C4⋊C4—24no—
1314C4⋊C4—24no—
1315C4⋊C4—24no—
1316C4⋊C4—24no—
1317C4⋊C4—28no—
1318C4⋊C4—24no—
1319C4⋊C4—24no—
1320C4⋊C4—28no—
1321C4⋊C4—24no—
1322C4⋊C4—24no—
1323C4⋊C4—24no—
1324C4⋊C4—24no—
1325C4⋊C4—28no—
1326C4⋊C4—28no—
1327C4⋊C4—24no—
1328C4⋊C4—24no—
1329C4⋊C4—24no—
1330C4⋊C4—24no—
1331C4⋊C4—24no—
1332C4⋊C4—24no—
1333C4⋊C4—22no—
1334C4⋊C4—22no—
1335C4⋊C4—24no—
1336C4⋊C4—24no—
1337C4⋊C4—24no—
1338C4⋊C4—24no—
1339C4⋊C4—24no—
1340C4⋊C4—44no—
1341C4⋊C4—44no—
1342C4⋊C4—44no—
1343C4⋊C4—44no—
1344C4⋊C4—44no—
1345C4⋊C4—44no—
1346C4⋊C4—44no—
1347C4⋊C4—44no—
1348C4⋊C4—44no—
1349C4⋊C4—44no—
1350C4⋊C4—44no—
1351C4⋊C4—44no—
1352C4⋊C4—44no—
1353C4⋊C4—44no—
1354C4⋊C4—44no—
1355C4⋊C4—44no—
1356C4⋊C4—44no—
1357C4⋊C4—44no—
1358C4⋊C4—44no—
1359C4⋊C4C22×D414yes—
1360C4⋊C4C22×D414yes—
1361C4⋊C4C22×D418yes—
1362C22⋊C4—24no—
1363C22⋊C4—24no—
1364C22⋊C4—24no—
1365C22⋊C4—24no—
1366C22⋊C4—24no—
1367C22⋊C4—24no—
1368C22⋊C4—28no—
1369C22⋊C4—28no—
1370C22⋊C4—28no—
1371C22⋊C4—28no—
1372C22⋊C4—28no—
1373C22⋊C4—24no—
1374C22⋊C4—24no—
1375C22⋊C4—24no—
1376C22⋊C4—24no—
1377C22⋊C4—24no—
1378C22⋊C4—24no—
1379C22⋊C4—24no—
1380C22⋊C4—24no—
1381C22⋊C4—24no—
1382C22⋊C4—24no—
1383C22⋊C4—24no—
1384C22⋊C4—28no—
1385C22⋊C4—24no—
1386C22⋊C4—24no—
1387C22⋊C4—24no—
1388C22⋊C4—24no—
1389C22⋊C4—24no—
1390C22⋊C4—24no—
1391C22⋊C4—44no—
1392C22⋊C4—44no—
1393C22⋊C4—44no—
1394C22⋊C4—44no—
1395C22⋊C4—44no—
1396C22⋊C4—44no—
1397C22⋊C4—44no—
1398C22⋊C4—44no—
1399C22⋊C4—44no—
1400C22⋊C4—44no—
1401C22⋊C4—44no—
1402C22⋊C4—42no—
1403C22⋊C4—42no—
1404C22⋊C4—44no—
1405C22⋊C4—44no—
1406C22⋊C4—44no—
1407C22⋊C4—44no—
1408C22⋊C4—44no—
1409C22⋊C4—44no—
1410C22⋊C4—44no—
1411C22⋊C4—44no—
1412C22⋊C4—44no—
1413C22⋊C4—44no—
1414C22⋊C4C22×D418yes—
1415C22⋊C4C22×D418yes—
1416C22⋊C4C22×D418yes—
1417C22⋊C4C22×D418yes—
1418C42—24no—
1419C42—24no—
1420C42—24no—
1421C42—24no—
1422C42—24no—
1423C42—24no—
1424C42—24no—
1425C42—24no—
1426C42—28no—
1427C42—28no—
1428C42—24no—
1429C42—42no—
1430C42—44no—
1431C42—44no—
1432C42—44no—
1433C42—42no—
1434C42C22×D414yes—
1435C42C22×D414yes—
1436C42C22×D414yes—
1437C42C22×D414yes—
1438C23—22no—
1439C23—22no—
1440C23—22no—
1441C23—22no—
1442C23—22no—
1443C23—21no—
1444C23—22no—
1445C23—22no—
1446C23—22no—
1447C23—22no—
1448C23—22no—
1449C23—22no—
1450C23—22no—
1451C23—22no—
1452C23—21no—
1453C23—22no—
1454C23—22no—
1455C23—22no—
1456C23—22no—
1457C23—22no—
1458C23—24no—
1459C23—22no—
1460C23—22no—
1461C23—24no—
1462C23—22no—
1463C23—22no—
1464C23—22no—
1465C23—22no—
1466C23—44no—
1467C23—82no—
1468C23—82no—
1469C23—84no—
1470C23—84no—
1471C23C23×D412yes—
1472C23C23×D414yes—
1473C23C23×D414yes—
1474C23C2611yescharacteristic
1475Q8—48no—
1476Q8—44no—
1477Q8—48no—
1478Q8—84no—
1479Q8—84no—
1480Q8—82no—
1481Q8—82no—
1482Q8—88no—
1483D4—48no—
1484D4—44no—
1485D4—44no—
1486D4—48no—
1487D4—48no—
1488D4—48no—
1489D4—44no—
1490D4—84no—
1491D4—84no—
1492D4—88no—
1493D4—84no—
1494D4—84no—
1495D4—84no—
1496D4—88no—
1497D4—164no—
1498C2×C4—22no—
1499C2×C4—22no—
1500C2×C4—22no—
1501C2×C4—22no—
1502C2×C4—22no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—22no—
1507C2×C4—22no—
1508C2×C4—21no—
1509C2×C4—28no—
1510C2×C4—216no—
1511C2×C4—216no—
1512C2×C4—22no—
1513C2×C4—22no—
1514C2×C4—22no—
1515C2×C4—22no—
1516C2×C4—22no—
1517C2×C4—24no—
1518C2×C4—22no—
1519C2×C4—22no—
1520C2×C4—22no—
1521C2×C4—22no—
1522C2×C4—24no—
1523C2×C4—22no—
1524C2×C4—24no—
1525C2×C4—24no—
1526C2×C4—24no—
1527C2×C4—22no—
1528C2×C4—24no—
1529C2×C4—24no—
1530C2×C4—24no—
1531C2×C4—24no—
1532C2×C4—22no—
1533C2×C4—24no—
1534C2×C4—24no—
1535C2×C4—24no—
1536C2×C4—22no—
1537C2×C4—22no—
1538C2×C4—22no—
1539C2×C4—24no—
1540C2×C4—22no—
1541C2×C4—24no—
1542C2×C4—24no—
1543C2×C4—24no—
1544C2×C4—24no—
1545C2×C4—22no—
1546C2×C4—22no—
1547C2×C4—22no—
1548C2×C4—22no—
1549C2×C4—24no—
1550C2×C4—24no—
1551C2×C4—24no—
1552C2×C4—22no—
1553C2×C4—22no—
1554C2×C4—22no—
1555C2×C4—22no—
1556C2×C4—22no—
1557C2×C4—22no—
1558C2×C4—44no—
1559C2×C4—44no—
1560C2×C4—48no—
1561C2×C4—48no—
1562C2×C4—44no—
1563C2×C4—48no—
1564C2×C4—88no—
1565C2×C4—82no—
1566C2×C4—84no—
1567C2×C4—84no—
1568C2×C4—88no—
1569C2×C4—82no—
1570C2×C4—84no—
1571C2×C4—84no—
1572C2×C4—88no—
1573C2×C4—88no—
1574C2×C4—164no—
1575C2×C4C23×D412yes—
1576C2×C4C23×D414yes—
1577C2×C4C23×D412yes—
1578C2×C4C23×D412yes—
1579C2×C4C23×D414yes—
1580C2×C4C23×D412yes—
1581C2×C4C23×D412yes—
1582C2×C4C23×D412yes—
1583C2×C4#58514yes—
1584C22—22no—
1585C22—24no—
1586C22—24no—
1587C22—22no—
1588C22—24no—
1589C22—24no—
1590C22—22no—
1591C22—24no—
1592C22—24no—
1593C22—42no—
1594C22—42no—
1595C22—42no—
1596C22—42no—
1597C22—42no—
1598C22—42no—
1599C22—42no—
1600C22—42no—
1601C22—42no—
1602C22—42no—
1603C22—42no—
1604C22—42no—
1605C22—42no—
1606C22—42no—
1607C22—42no—
1608C22—42no—
1609C22—42no—
1610C22—44no—
1611C22—42no—
1612C22—44no—
1613C22—42no—
1614C22—42no—
1615C22—88no—
1616C22C24×D411yescharacteristic
1617C22C2×#58512yes—
1618C22H(7,𝔽2)11yescharacteristic
1619C222−1+611yescharacteristic
1620C222−1+612yes—
1621C4—22no—
1622C4—24no—
1623C4—24no—
1624C4—22no—
1625C4—22no—
1626C4—22no—
1627C4—22no—
1628C4—42no—
1629C4—44no—
1630C4—42no—
1631C4—42no—
1632C4—42no—
1633C4—42no—
1634C4—44no—
1635C4—42no—
1636C4—42no—
1637C4—42no—
1638C4—42no—
1639C4—42no—
1640C4—44no—
1641C4—44no—
1642C4—44no—
1643C4—44no—
1644C4#348514yes—
1645C2—44no—
1646C2—44no—
1647C2—42no—
1648C2—82no—
1649C2—82no—
1650C2C2×#348511yescharacteristic
1651C2#6285311yescharacteristic
1652C2#6285911yescharacteristic
1653C2#6288212yes—
1654C2#6289012yes—
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. C2×#3547C2semidirect
2. C2×#3455C2semidirect
3. #50171C2semidirect
4. #50170C2semidirect
5. #49570C2semidirect
6. #48781C2semidirect
7. #48780C2semidirect
8. #47857C2semidirect
9. #47822C2semidirect
10. #47800C2semidirect
11. #47768C2semidirect
12. #47716C2semidirect
13. #38050C2semidirect
14. #38048C2semidirect
15. #38043C2semidirect
16. #38040C2semidirect
17. #38035C2semidirect
18. #38032C2semidirect
19. #38027C2semidirect
20. #38025C2semidirect
21. #37641C2semidirect
22. #37551C2semidirect
23. #37374C2semidirect
24. #37268C2semidirect
25. #35325C2semidirect
26. #35307C2semidirect
27. #35302C2semidirect
28. #35255C2semidirect
29. #34367C2semidirect
33. C2×#555C22semidirect
34. C2×#554C22semidirect
36. C2×#552C22semidirect
37. C2×D4×Q8C22semidirect
38. C2×#548C22semidirect
39. C2×#547C22semidirect
40. C2×#544C22semidirect
44. C2×#542C22semidirect
47. C2×#540C22semidirect
69. #2855C22semidirect
70. #2855C22semidirect
71. #2855C22semidirect
73. #2854C22semidirect
77. #2822C22semidirect
78. #2821C22semidirect
79. #2821C22semidirect
84. #2726C22semidirect
87. #2724C22semidirect
88. #2722C22semidirect
90. #2719C22semidirect
95. #2715C22semidirect
96. #2713C22semidirect
103. #2708C22semidirect
104. #2708C22semidirect
106. #2704C22semidirect
110. #2701C22semidirect
112. #2700C22semidirect
114. #2698C22semidirect
115. #2698C22semidirect
117. #2689C22semidirect
120. #2687C22semidirect
124. #2674C22semidirect
138. #2625C22semidirect
139. #2625C22semidirect
140. #2625C22semidirect
142. #2624C22semidirect
147. #2611C22semidirect
151. #2592C22semidirect
152. #2592C22semidirect
153. #2584C22semidirect
154. #2584C22semidirect
156. #2582C22semidirect
157. #2582C22semidirect
158. #2581C22semidirect
159. #2580C22semidirect
161. #2568C22semidirect
162. #2568C22semidirect
166. #2556C22semidirect
167. #2553C22semidirect
168. #2549C22semidirect
169. #2546C22semidirect
170. #2546C22semidirect
173. #2521C22semidirect
175. #2506C22semidirect
181. #2486C22semidirect
188. #2478C22semidirect
189. #2475C22semidirect
191. #2473C22semidirect
192. #2466C22semidirect
194. #2450C22semidirect
197. #2446C22semidirect
198. #2446C22semidirect
201. #2444C22semidirect
204. #2443C22semidirect
205. #2440C22semidirect
206. #2438C22semidirect
209. #2425C22semidirect
210. #2423C22semidirect
212. #2421C22semidirect
216. #2419C22semidirect
217. #2419C22semidirect
218. #2419C22semidirect
219. #2419C22semidirect
238. #2354C22semidirect
239. #2352C22semidirect
240. #2352C22semidirect
241. D4×C4⋊C4C22semidirect
242. #2337C22semidirect
243. #2331C22semidirect
244. #2328C22semidirect
249. #2317C22semidirect
250. #2316C22semidirect
253. #2311C22semidirect
254. #2310C22semidirect
255. #2297C22semidirect
256. #2296C22semidirect
257. C2×#391C22semidirect
258. C2×#389C22semidirect
291. #532D4semidirect

Maximal subgroups

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

subgroupindex
C2×#35472
C2×#34552
#501712
#501702
#495702
#487812
#487802
#478572
#478222
#478002
#477682
#477162
#380502
#380482
#380432
#380402
#380352
#380322
#380272
#380252
#376412
#375512
#373742
#372682
#353252
#353072
#353022
#352552
#343672