Finite Group Databasebeta

← #7686629

Subgroups — #7686629

Order 512.

7068 conjugacy classes of subgroups.

The subgroup lattice has 1877 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3511C211yesmaximal, characteristic, complemented
2C2×#3518C211yesmaximal, characteristic, complemented
3#59655C211yesmaximal, characteristic, complemented
4#59415C214yesmaximal, complemented
5#59409C212yesmaximal, complemented
6#59315C212yesmaximal, complemented
7#59151C211yesmaximal, characteristic, complemented
8#59121C212yesmaximal, complemented
9#59115C212yesmaximal, complemented
10#59052C211yesmaximal, characteristic, complemented
11#45091C212yesmaximal, complemented
12#44875C212yesmaximal, complemented
13#44843C214yesmaximal, complemented
14#44842C214yesmaximal, complemented
15#39867C212yesmaximal, complemented
16#39866C212yesmaximal, complemented
17#39446C214yesmaximal, complemented
18#39432C212yesmaximal, complemented
19#39343C211yesmaximal, characteristic, complemented
20#38921C211yesmaximal, characteristic, complemented
21#36473C212yesmaximal, complemented
22#36470C212yesmaximal, complemented
23#36411C211yesmaximal, characteristic, complemented
24#36405C211yesmaximal, characteristic, complemented
25#36276C211yesmaximal, characteristic, complemented
26#36185C211yesmaximal, characteristic, complemented
27#36139C212yesmaximal, complemented
28#36129C211yesmaximal, characteristic, complemented
29#36089C212yesmaximal, complemented
30#36007C212yesmaximal, complemented
31#34938C212yesmaximal, complemented
32#34889C211yesmaximal, characteristic, complemented
33#34276C212yesmaximal, complemented
34C4×#555C211yesmaximal, characteristic, complemented
35C4×#547C211yesmaximal, characteristic, complemented
36#3518—216no—
37#3511—216no—
38C2×Q82C2211yescharacteristic
39C2×#556C2214yes—
40C2×#556C2211yescharacteristic
41C2×#556C2212yes—
42C2×#556C2212yes—
43C2×#556C2212yes—
44C2×#555C2211yescharacteristic
45C2×#555C2212yes—
46C2×#555C2211yescharacteristic
47C2×#554C2211yescharacteristic
48C2×#554C2211yescharacteristic
49C2×#553C2212yes—
50C2×#553C2212yes—
51C2×D4×Q8C2211yescharacteristic
52C2×#548C2212yes—
53C2×#548C2214yes—
54C2×#547C2212yes—
55C2×#547C2211yescharacteristic
56C2×#542C2212yes—
57C2×#542C2214yes—
58C2×#542C2214yes—
59C2×#537C2212yes—
60C2×#536C2212yes—
61C2×#533C2211yescharacteristic
62C2×#533C2212yes—
63C2×#533C2212yes—
64C2×#532C2212yes—
65C2×#532C2211yescharacteristic
66C22×C4⋊Q8C2211yescharacteristic
67C2×#529C2211yescharacteristic
68C2×#529C2212yes—
69C2×#520C2212yes—
70C2×#519C2212yes—
71C2×C4×#41C2211yescharacteristic
72C2×C4×#41C2211yescharacteristic
73#2862C2211yescharacteristic
74#2860C2214yes—
75#2857C2212yes—
76#2857C2211yescharacteristic
77#2857C2211yescharacteristic
78#2855C2212yes—
79#2854C2212yes—
80#2850C2212yes—
81#2734C2214yes—
82#2732C2214yes—
83#2729C2214yes—
84#2724C2214yes—
85#2717C2214yes—
86#2708C2214yes—
87#2700C2214yes—
88#2698C2214yes—
89#2698C2214yes—
90#2689C2214yes—
91#2687C2214yes—
92#2686C2214yes—
93#2682C2214yes—
94#2681C2214yes—
95#2680C2214yes—
96#2680C2214yes—
97#2674C2214yes—
98#2674C2214yes—
99#2672C2214yes—
100#2672C2214yes—
101#2671C2214yes—
102#2637C2214yes—
103#2637C2214yes—
104#2625C2212yes—
105#2616C2212yes—
106#2604C2214yes—
107#2604C2214yes—
108#2604C2214yes—
109#2603C2214yes—
110#2582C2211yescharacteristic
111#2581C2214yes—
112#2567C2211yescharacteristic
113#2567C2211yescharacteristic
114#2559C2214yes—
115#2559C2212yes—
116#2557C2214yes—
117#2557C2212yes—
118#2555C2214yes—
119#2553C2214yes—
120#2552C2212yes—
121#2552C2212yes—
122#2551C2212yes—
123#2551C2212yes—
124#2551C2212yes—
125#2550C2212yes—
126#2550C2212yes—
127#2550C2211yescharacteristic
128#2550C2212yes—
129#2550C2212yes—
130#2549C2214yes—
131#2549C2214yes—
132#2549C2214yes—
133#2549C2214yes—
134#2546C2211yescharacteristic
135#2544C2211yescharacteristic
136#2542C2212yes—
137#2542C2211yescharacteristic
138#2540C2211yescharacteristic
139#2538C2211yescharacteristic
140#2536C2214yes—
141#2535C2211yescharacteristic
142#2521C2214yes—
143#2521C2214yes—
144#2521C2214yes—
145#2521C2214yes—
146#2521C2212yes—
147#2502C2212yes—
148#2500C2212yes—
149#2499C2212yes—
150#2496C2214yes—
151#2492C2212yes—
152#2492C2212yes—
153#2492C2211yescharacteristic
154#2491C2214yes—
155#2491C2212yes—
156#2490C2211yescharacteristic
157#2489C2212yes—
158#2486C2212yes—
159#2485C2212yes—
160#2485C2212yes—
161#2478C2214yes—
162#2478C2214yes—
163#2478C2214yes—
164#2474C2214yes—
165#2474C2214yes—
166#2474C2214yes—
167#2468C2214yes—
168#2468C2214yes—
169#2468C2214yes—
170#2464C2212yes—
171#2461C2214yes—
172#2461C2214yes—
173#2461C2214yes—
174#2454C2212yes—
175#2453C2212yes—
176#2452C2212yes—
177#2451C2212yes—
178#2451C2212yes—
179#2451C2212yes—
180#2447C2212yes—
181#2447C2212yes—
182#2446C2212yes—
183#2445C2212yes—
184#2443C2214yes—
185#2442C2212yes—
186#2441C2212yes—
187#2440C2212yes—
188#2440C2212yes—
189#2440C2212yes—
190#2440C2214yes—
191#2440C2214yes—
192#2439C2212yes—
193#2434C2214yes—
194#2434C2212yes—
195#2432C2212yes—
196#2432C2214yes—
197#2430C2214yes—
198#2429C2214yes—
199#2429C2212yes—
200#2429C2212yes—
201#2429C2212yes—
202#2428C2211yescharacteristic
203#2427C2212yes—
204#2427C2214yes—
205#2427C2212yes—
206#2427C2211yescharacteristic
207#2425C2214yes—
208#2425C2214yes—
209#2423C2214yes—
210#2422C2212yes—
211#2422C2212yes—
212#2422C2214yes—
213#2422C2212yes—
214#2419C2214yes—
215#2417C2212yes—
216#2417C2212yes—
217#2415C2212yes—
218#2415C2212yes—
219#2415C2212yes—
220#2414C2212yes—
221#2409C2212yes—
222#2409C2212yes—
223#2407C2212yes—
224#2406C2214yes—
225#2399C2214yes—
226#2399C2214yes—
227#2395C2212yes—
228#2388C2212yes—
229#2372C2214yes—
230#2369C2211yescharacteristic
231#2367C2212yes—
232#2365C2212yes—
233#2365C2211yescharacteristic
234#2363C2212yes—
235#2363C2212yes—
236#2363C2212yes—
237#2362C2212yes—
238#2362C2212yes—
239#2362C2212yes—
240#2362C2212yes—
241#2362C2211yescharacteristic
242#2362C2211yescharacteristic
243#2361C2212yes—
244#2360C2212yes—
245#2360C2212yes—
246#2360C2212yes—
247#2360C2212yes—
248#2360C2212yes—
249#2359C2212yes—
250#2359C2214yes—
251#2359C2212yes—
252#2359C2214yes—
253#2359C2214yes—
254#2359C2214yes—
255#2354C2211yescharacteristic
256#2354C2211yescharacteristic
257#2354C2212yes—
258#2354C2211yescharacteristic
259#2352C2212yes—
260#2349C2212yes—
261#2349C2212yes—
262D4×C4⋊C4C2211yescharacteristic
263#2346C2212yes—
264#2346C2212yes—
265#2344C2212yes—
266Q8×C22⋊C4C2212yes—
267#2339C2211yescharacteristic
268#2339C2211yescharacteristic
269#2339C2214yes—
270#2327C2214yes—
271#2326C2214yes—
272#2317C2212yes—
273C4×C4⋊Q8C2211yescharacteristic
274C4×C4⋊Q8C2211yescharacteristic
275C4×C4⋊Q8C2214yes—
276C4×C4⋊Q8C2214yes—
277C4×#124C2211yescharacteristic
278C4×#124C2214yes—
279C4×#124C2214yes—
280C4×C22⋊Q8C2211yescharacteristic
281C4×C22⋊Q8C2211yescharacteristic
282C4×C22⋊Q8C2211yescharacteristic
283C4×#123C2212yes—
284C4×#123C2212yes—
285C4×#121C2212yes—
286C4×#121C2212yes—
287C4×#121C2212yes—
288C4×#121C2211yescharacteristic
289C4×#121C2212yes—
290#2297C2212yes—
291#2296C2212yes—
292#2296C2212yes—
293C2×#391C2212yes—
294#2285C2212yes—
295C42×D4C2211yescharacteristic
296C42×D4C2211yescharacteristic
297C42×D4C2211yescharacteristic
298C4×#117C2212yes—
299C4×#117C2212yes—
300C2×C4×C4⋊C4C2212yes—
301C22×#41C2311yescharacteristic
302C22×#41C2311yescharacteristic
303C22×#41C2312yes—
304C22×#41C2314yes—
305C23×Q8C2312yes—
306C23×Q8C2312yes—
307Q82—28no—
308#556—232no—
309#556—28no—
310#556—216no—
311#556—216no—
312#556—216no—
313#555—216no—
314#555—28no—
315#555D4116yescomplemented
316#554—28no—
317#554—28no—
318#553—216no—
319#553—216no—
320D4×Q8—28no—
321#548—232no—
322#548—216no—
323#547—28no—
324#547—216no—
325#542—232no—
326#542—232no—
327#542—216no—
328#537—216no—
329#536—216no—
330#533—28no—
331#533—216no—
332#533—216no—
333#532—216no—
334#532—28no—
335C2×C4⋊Q8—28no—
336C2×C4⋊Q8C2314yes—
337C2×C4⋊Q8C2311yescharacteristic
338C2×C4⋊Q8C2311yescharacteristic
339C2×C4⋊Q8C2311yescharacteristic
340C2×C4⋊Q8C2312yes—
341C2×C4⋊Q8C2312yes—
342C2×C4⋊Q8C2312yes—
343C2×C4⋊Q8C2311yescharacteristic
344C2×C4⋊Q8C2312yes—
345C2×C4⋊Q8C2312yes—
346C2×C4⋊Q8C2314yes—
347C2×C4⋊Q8C2312yes—
348C2×C4⋊Q8C2314yes—
349C2×C4⋊Q8C2312yes—
350C2×C4⋊Q8C2311yescharacteristic
351C2×#127C2311yescharacteristic
352#529—216no—
353#529—28no—
354C2×#126C2314yes—
355C2×#126C2314yes—
356C2×#126C2312yes—
357C2×#126C2314yes—
358C2×#126C2314yes—
359C2×#126C2314yes—
360C2×#126C2314yes—
361C2×#125C2312yes—
362C2×#125C2311yescharacteristic
363C2×#125C2312yes—
364C2×#125C2312yes—
365C2×#124C2314yes—
366C2×#124C2311yescharacteristic
367C2×#124C2311yescharacteristic
368C2×#124C2312yes—
369C2×#124C2314yes—
370C2×#124C2314yes—
371C2×#124C2312yes—
372C2×#124C2314yes—
373C2×#124C2314yes—
374C2×#124C2314yes—
375C2×#124C2314yes—
376C2×#123C2314yes—
377C2×#123C2314yes—
378C2×#123C2312yes—
379C2×#123C2312yes—
380C2×#123C2314yes—
381C2×#123C2312yes—
382C2×#123C2314yes—
383C2×#123C2314yes—
384C2×#123C2314yes—
385C2×#123C2314yes—
386C2×C22⋊Q8C2312yes—
387C2×C22⋊Q8C2312yes—
388C2×C22⋊Q8C2312yes—
389C2×C22⋊Q8C2312yes—
390C2×C22⋊Q8C2311yescharacteristic
391C2×C22⋊Q8C2312yes—
392C2×C22⋊Q8C2312yes—
393C2×C22⋊Q8C2311yescharacteristic
394C2×C22⋊Q8C2312yes—
395C2×C22⋊Q8C2311yescharacteristic
396C2×C22⋊Q8C2314yes—
397C2×C22⋊Q8C2314yes—
398C2×C22⋊Q8C2312yes—
399C2×C22⋊Q8C2314yes—
400C2×C22⋊Q8C2314yes—
401C2×C22⋊Q8C2314yes—
402C2×C22⋊Q8C2314yes—
403C2×C22⋊Q8C2314yes—
404C2×C22⋊Q8C2312yes—
405C2×C22⋊Q8C2312yes—
406C2×C22⋊Q8C2312yes—
407C2×C22⋊Q8C2314yes—
408C2×C22⋊Q8C2314yes—
409C2×C22⋊Q8C2311yescharacteristic
410C2×#121C2312yes—
411C2×#121C2312yes—
412C2×#121C2311yescharacteristic
413C2×#121C2312yes—
414C2×#121C2314yes—
415C2×#121C2314yes—
416C2×#121C2311yescharacteristic
417C2×#121C2312yes—
418C2×#121C2314yes—
419C2×#121C2311yescharacteristic
420C2×#121C2314yes—
421C2×#121C2311yescharacteristic
422C2×#121C2312yes—
423C2×#121C2312yes—
424C2×#121C2312yes—
425#520—216no—
426#519—216no—
427C4×#41—28no—
428C4×#41—28no—
429C2×C4×Q8C2311yescharacteristic
430C2×C4×Q8C2314yes—
431C2×C4×Q8C2314yes—
432C2×C4×Q8C2311yescharacteristic
433C2×C4×Q8C2314yes—
434C2×C4×Q8C2314yes—
435C2×C4×Q8C2311yescharacteristic
436C2×C4×Q8C2314yes—
437C2×C4×Q8C2312yes—
438C2×C4×Q8C2312yes—
439C2×C4×Q8C2312yes—
440C2×C4×Q8C2312yes—
441C2×C4×Q8C2311yescharacteristic
442C2×C4×Q8C2312yes—
443C2×C4×Q8C2311yescharacteristic
444C2×C4×Q8C2312yes—
445C2×C4×D4C2314yes—
446C2×C4×D4C2311yescharacteristic
447C2×C4×D4C2311yescharacteristic
448C2×C4×D4C2314yes—
449C2×C4×D4C2311yescharacteristic
450C2×C4×D4C2311yescharacteristic
451C2×C4×D4C2312yes—
452C2×C4×D4C2312yes—
453C2×C4×D4C2311yescharacteristic
454C2×C4×D4C2311yescharacteristic
455C2×C4×D4C2311yescharacteristic
456C2×C4×D4C2314yes—
457C2×C4×D4C2314yes—
458C2×C4×D4C2312yes—
459C2×C4×D4C2312yes—
460C2×C4×D4C2312yes—
461C2×C4×D4C2312yes—
462C2×C4×D4C2312yes—
463C2×C4×D4C2312yes—
464C2×C4×D4C2312yes—
465C2×C4×D4C2311yescharacteristic
466C2×C4×D4C2311yescharacteristic
467C2×C4×D4C2312yes—
468C2×C4×D4C2311yescharacteristic
469C2×C4×D4C2314yes—
470C2×C4×D4C2311yescharacteristic
471C2×C4×D4C2311yescharacteristic
472C2×#117C2312yes—
473C2×#117C2312yes—
474C2×#117C2312yes—
475C2×#117C2312yes—
476C2×#117C2312yes—
477C2×#117C2311yescharacteristic
478C2×#117C2311yescharacteristic
479C2×#117C2312yes—
480C2×#117C2312yes—
481C2×#117C2314yes—
482C2×#117C2314yes—
483C2×#117C2312yes—
484C2×#117C2312yes—
485C2×#117C2312yes—
486C2×#117C2312yes—
487C22×C4⋊C4C2312yes—
488C22×C4⋊C4C2312yes—
489C22×C4⋊C4C2312yes—
490C22×C4⋊C4C2312yes—
491C22×C4⋊C4C2312yes—
492C22×C4⋊C4C2312yes—
493C22×C42C2312yes—
494C22×C42C2312yes—
495C22×C42C2312yes—
496C22×C42C2311yescharacteristic
497C22×C42C2311yescharacteristic
498C22×C42C2312yes—
499#400C2312yes—
500#400C2314yes—
501#400C2314yes—
502#400C2314yes—
503#399C2312yes—
504#399C2314yes—
505#399C2314yes—
506#399C2314yes—
507#398C2314yes—
508#398C2314yes—
509#398C2314yes—
510#398C2314yes—
511#398C2314yes—
512#398C2314yes—
513#398C2314yes—
514#398C2314yes—
515#398C2312yes—
516#398C2314yes—
517#398C2314yes—
518#398C2314yes—
519#398C2314yes—
520#398C2314yes—
521#398C2314yes—
522#397C2314yes—
523#397C2314yes—
524#397C2314yes—
525#397C2312yes—
526#397C2312yes—
527#397C2312yes—
528#397C2314yes—
529#397C2314yes—
530#397C2314yes—
531#397C2314yes—
532#397C2314yes—
533#397C2314yes—
534#397C2314yes—
535#396C2314yes—
536#396C2314yes—
537#396C2314yes—
538#396C2314yes—
539#396C2314yes—
540#395C2314yes—
541#395C2314yes—
542#395C2314yes—
543#395C2314yes—
544#395C2314yes—
545#395C2314yes—
546#395C2314yes—
547#395C2314yes—
548#395C2312yes—
549#395C2314yes—
550#395C2314yes—
551#395C2314yes—
552#395C2314yes—
553#394C2314yes—
554#394C2314yes—
555#394C2314yes—
556#394C2312yes—
557#394C2312yes—
558#394C2312yes—
559#394C2312yes—
560#394C2312yes—
561#394C2314yes—
562#394C2314yes—
563#394C2314yes—
564#394C2314yes—
565#394C2314yes—
566#394C2314yes—
567#394C2314yes—
568#394C2314yes—
569#393C2314yes—
570#393C2314yes—
571#393C2314yes—
572#393C2312yes—
573#392C2312yes—
574#392C2312yes—
575#392C2312yes—
576#392C2314yes—
577#391C2312yes—
578#391C2314yes—
579#391C2311yescharacteristic
580#391C2311yescharacteristic
581#391C2312yes—
582#391C2314yes—
583#391C2314yes—
584#391C2312yes—
585#391C2312yes—
586#391C2314yes—
587#391C2314yes—
588#391C2314yes—
589#391C2312yes—
590#391C2312yes—
591#391C2312yes—
592#391C2311yescharacteristic
593#391C2311yescharacteristic
594#391C2312yes—
595#391C2312yes—
596#391C2311yescharacteristic
597#391C2312yes—
598#391C2312yes—
599#391C2312yes—
600#391C2312yes—
601#391C2312yes—
602#391C2314yes—
603#391C2311yescharacteristic
604#390C2312yes—
605#390C2312yes—
606#390C2311yescharacteristic
607#390C2312yes—
608#390C2312yes—
609#390C2314yes—
610#390C2312yes—
611#390C2314yes—
612#390C2312yes—
613#390C2312yes—
614#390C2314yes—
615#390C2311yescharacteristic
616#390C2312yes—
617#389C2312yes—
618#389C2312yes—
619#389C2314yes—
620#389C2312yes—
621#389C2312yes—
622#389C2314yes—
623#389C2314yes—
624#389C2312yes—
625#389C2314yes—
626#389C2314yes—
627#389C2314yes—
628#389C2314yes—
629#389C2312yes—
630#389C2312yes—
631#389C2312yes—
632#389C2312yes—
633#389C2311yescharacteristic
634#389C2312yes—
635#389C2312yes—
636#389C2314yes—
637#389C2314yes—
638#389C2312yes—
639#389C2312yes—
640#389C2312yes—
641#389C2312yes—
642#389C2312yes—
643#389C2314yes—
644#389C2312yes—
645#389C2312yes—
646#389C2312yes—
647#389C2311yescharacteristic
648#389C2314yes—
649#389C2314yes—
650#389C2312yes—
651#389C2312yes—
652#389C2311yescharacteristic
653#389C2311yescharacteristic
654#388C2312yes—
655#388C2314yes—
656#388C2314yes—
657#388C2314yes—
658#388C2314yes—
659#388C2314yes—
660#388C2314yes—
661#388C2314yes—
662#388C2314yes—
663#388C2314yes—
664#388C2314yes—
665#388C2314yes—
666#388C2312yes—
667#388C2312yes—
668#388C2312yes—
669#388C2314yes—
670#388C2314yes—
671#388C2314yes—
672#388C2314yes—
673#388C2314yes—
674#388C2314yes—
675#388C2312yes—
676#388C2314yes—
677#388C2314yes—
678#388C2312yes—
679#388C2312yes—
680#388C2314yes—
681#388C2314yes—
682#388C2312yes—
683#388C2314yes—
684#388C2312yes—
685#388C2312yes—
686#388C2312yes—
687#387C2312yes—
688#387C2314yes—
689#387C2314yes—
690#387C2314yes—
691#387C2312yes—
692#387C2314yes—
693#387C2314yes—
694#387C2314yes—
695#387C2314yes—
696#387C2314yes—
697#387C2314yes—
698#387C2312yes—
699#387C2312yes—
700#387C2312yes—
701#387C2314yes—
702#387C2314yes—
703#387C2314yes—
704#387C2312yes—
705#387C2312yes—
706#386C2314yes—
707#386C2314yes—
708#386C2312yes—
709#386C2314yes—
710#386C2312yes—
711#386C2312yes—
712#386C2312yes—
713#386C2312yes—
714#386C2314yes—
715#386C2314yes—
716#386C2314yes—
717#386C2312yes—
718#386C2312yes—
719#386C2312yes—
720#386C2312yes—
721#386C2314yes—
722#386C2314yes—
723#386C2312yes—
724#386C2312yes—
725#385C2314yes—
726#385C2314yes—
727#385C2314yes—
728#385C2314yes—
729#385C2314yes—
730#385C2314yes—
731#385C2314yes—
732#385C2314yes—
733#385C2314yes—
734#385C2312yes—
735#385C2312yes—
736#385C2314yes—
737#385C2314yes—
738#385C2314yes—
739#385C2314yes—
740#385C2312yes—
741#385C2312yes—
742#385C2314yes—
743#385C2314yes—
744#385C2314yes—
745#385C2314yes—
746#385C2314yes—
747#385C2312yes—
748#384C2314yes—
749#384C2311yescharacteristic
750#384C2311yescharacteristic
751#384C2314yes—
752#384C2312yes—
753#384C2312yes—
754#384C2312yes—
755#382C2314yes—
756#382C2314yes—
757#382C2312yes—
758#382C2312yes—
759#382C2311yescharacteristic
760#381C2314yes—
761#381C2312yes—
762#381C2312yes—
763#381C2314yes—
764#380C2311yescharacteristic
765#380C2311yescharacteristic
766#380C2314yes—
767#380C2312yes—
768#380C2314yes—
769#380C2312yes—
770#380C2312yes—
771#380C2314yes—
772#380C2314yes—
773#380C2312yes—
774#380C2312yes—
775#380C2312yes—
776#380C2312yes—
777#380C2312yes—
778#380C2314yes—
779#380C2312yes—
780#380C2314yes—
781#380C2311yescharacteristic
782#380C2311yescharacteristic
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2314yes—
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2314yes—
790C4×C4⋊C4C2314yes—
791C4×C4⋊C4C2314yes—
792C4×C4⋊C4C2312yes—
793C4×C4⋊C4C2314yes—
794C4×C4⋊C4C2311yescharacteristic
795C4×C4⋊C4C2311yescharacteristic
796C4×C4⋊C4C2311yescharacteristic
797C4×C4⋊C4C2312yes—
798C4×C4⋊C4C2311yescharacteristic
799C4×C4⋊C4C2311yescharacteristic
800C4×C4⋊C4C2312yes—
801C4×C4⋊C4C2312yes—
802C4×C4⋊C4C2311yescharacteristic
803C4×C4⋊C4C2312yes—
804C4×C4⋊C4C2312yes—
805C4×C4⋊C4C2312yes—
806C4×C4⋊C4C2311yescharacteristic
807C4×C4⋊C4C2314yes—
808C4×C4⋊C4C2312yes—
809C4×C4⋊C4C2312yes—
810C4×C4⋊C4C2312yes—
811C4×C4⋊C4C2311yescharacteristic
812C4×C4⋊C4C2311yescharacteristic
813C4×C22⋊C4C2314yes—
814C4×C22⋊C4C2311yescharacteristic
815C4×C22⋊C4C2311yescharacteristic
816C4×C22⋊C4C2311yescharacteristic
817C4×C22⋊C4C2314yes—
818C4×C22⋊C4C2312yes—
819C4×C22⋊C4C2312yes—
820C4×C22⋊C4C2312yes—
821C4×C22⋊C4C2314yes—
822C4×C22⋊C4C2311yescharacteristic
823C4×C22⋊C4C2314yes—
824C4×C22⋊C4C2312yes—
825C4×C22⋊C4C2314yes—
826C4×C22⋊C4C2314yes—
827C4×C22⋊C4C2312yes—
828C4×C22⋊C4C2312yes—
829C4×C22⋊C4C2312yes—
830C4×C22⋊C4C2312yes—
831C4×C22⋊C4C2312yes—
832C4×C22⋊C4C2314yes—
833C4×C22⋊C4C2312yes—
834C4×C22⋊C4C2312yes—
835C4×C22⋊C4C2311yescharacteristic
836C4×C22⋊C4C2311yescharacteristic
837C4×C22⋊C4C2314yes—
838C4×C22⋊C4C2312yes—
839#376C2314yes—
840#376C2314yes—
841C2×#95C2312yes—
842C2×#95C2314yes—
843C2×#95C2312yes—
844C2×#95C2314yes—
845C43C2314yes—
846C43C2311yescharacteristic
847C2×#41—24no—
848C2×#41—24no—
849C2×#41—24no—
850C2×#41—216no—
851C2×#41—28no—
852C2×#41—28no—
853C2×#41—24no—
854C2×#41—44no—
855C2×#41—42no—
856C2×#41—42no—
857C2×#41—48no—
858C2×#41—84no—
859C22×Q8—28no—
860C22×Q8—28no—
861C22×Q8—28no—
862C22×Q8—44no—
863C22×Q8—44no—
864C22×Q8—82no—
865C22×Q8C2411yescharacteristic
866C22×Q8C2412yes—
867C22×Q8C2411yescharacteristic
868C22×Q8C2414yes—
869C22×Q8C2412yes—
870C22×Q8C2414yes—
871C22×Q8C2411yescharacteristic
872C22×Q8C2414yes—
873C22×Q8C2412yes—
874C22×Q8C2412yes—
875C22×D4C2411yescharacteristic
876C22×D4C2411yescharacteristic
877C22×D4C2412yes—
878C22×D4C2412yes—
879C22×D4C2412yes—
880C22×D4C2412yes—
881C22×D4C2412yes—
882C22×D4C2412yes—
883C22×D4C2411yescharacteristic
884C22×D4C2411yescharacteristic
885C22×D4C2412yes—
886C22×D4C2412yes—
887C22×D4C2414yes—
888C22×D4C2414yes—
889C23×C4C2411yescharacteristic
890C23×C4C2412yes—
891C23×C4C2411yescharacteristic
892C23×C4C2411yescharacteristic
893C23×C4C2412yes—
894C23×C4C2412yes—
895C23×C4C2412yes—
896C23×C4C2412yes—
897C23×C4C2414yes—
898C23×C4C2411yescharacteristic
899C23×C4C2412yes—
900C23×C4C2412yes—
901C23×C4C2411yescharacteristic
902C23×C4C2414yes—
903C23×C4C2414yes—
904C23×C4C2414yes—
905C23×C4C2412yes—
906C23×C4C2411yescharacteristic
907C23×C4C2412yes—
908C23×C4C2412yes—
909C23×C4C2412yes—
910C4⋊Q8—28no—
911C4⋊Q8—216no—
912C4⋊Q8—24no—
913C4⋊Q8—28no—
914C4⋊Q8—28no—
915C4⋊Q8—24no—
916C4⋊Q8—28no—
917C4⋊Q8—28no—
918C4⋊Q8—28no—
919C4⋊Q8—216no—
920C4⋊Q8—24no—
921C4⋊Q8—24no—
922C4⋊Q8—44no—
923C4⋊Q8—48no—
924C4⋊Q8C2×D418yes—
925#127—24no—
926#126—28no—
927#126—216no—
928#126—216no—
929#126—216no—
930#126—216no—
931#126—216no—
932#126—216no—
933#125—28no—
934#125—24no—
935#125—28no—
936#125—28no—
937#124—24no—
938#124—28no—
939#124—216no—
940#124—28no—
941#124—216no—
942#124—216no—
943#124—216no—
944#124—216no—
945#124—216no—
946#124—24no—
947#124C2×D4132yes—
948#123—216no—
949#123—216no—
950#123—216no—
951#123—28no—
952#123—28no—
953#123—216no—
954#123—216no—
955#123—28no—
956#123—84no—
957#123—84no—
958C22⋊Q8—28no—
959C22⋊Q8—216no—
960C22⋊Q8—28no—
961C22⋊Q8—28no—
962C22⋊Q8—28no—
963C22⋊Q8—28no—
964C22⋊Q8—28no—
965C22⋊Q8—24no—
966C22⋊Q8—28no—
967C22⋊Q8—28no—
968C22⋊Q8—28no—
969C22⋊Q8—24no—
970C22⋊Q8—24no—
971C22⋊Q8—216no—
972C22⋊Q8—216no—
973C22⋊Q8—216no—
974C22⋊Q8—216no—
975C22⋊Q8—216no—
976C22⋊Q8—216no—
977C22⋊Q8—44no—
978C22⋊Q8—84no—
979C22⋊Q8—84no—
980C22⋊Q8—82no—
981C22⋊Q8#4118yescomplemented
982#121—24no—
983#121—216no—
984#121—24no—
985#121—28no—
986#121—216no—
987#121—216no—
988#121—28no—
989#121—24no—
990#121—24no—
991#121—28no—
992#121—216no—
993#121—28no—
994#121—44no—
995#121C2×D4116yes—
996#121C2×D4116yes—
997C4×Q8—28no—
998C4×Q8—24no—
999C4×Q8—24no—
1000C4×Q8—28no—
1001C4×Q8—28no—
1002C4×Q8—28no—
1003C4×Q8—28no—
1004C4×Q8—24no—
1005C4×Q8—24no—
1006C4×Q8—216no—
1007C4×Q8—216no—
1008C4×Q8—216no—
1009C4×Q8—24no—
1010C4×Q8—216no—
1011C4×Q8—216no—
1012C4×Q8—82no—
1013C4×D4—24no—
1014C4×D4—24no—
1015C4×D4—216no—
1016C4×D4—28no—
1017C4×D4—28no—
1018C4×D4—28no—
1019C4×D4—28no—
1020C4×D4—28no—
1021C4×D4—28no—
1022C4×D4—24no—
1023C4×D4—28no—
1024C4×D4—24no—
1025C4×D4—24no—
1026C4×D4—28no—
1027C4×D4—28no—
1028C4×D4—216no—
1029C4×D4—216no—
1030C4×D4—216no—
1031C4×D4—24no—
1032C4×D4—24no—
1033C4×D4—24no—
1034C4×D4—42no—
1035C4×D4—44no—
1036C4×D4—42no—
1037C4×D4—84no—
1038C4×D4C2×D418yes—
1039C4×D4C2×D418yes—
1040#117—28no—
1041#117—28no—
1042#117—28no—
1043#117—24no—
1044#117—24no—
1045#117—28no—
1046#117—28no—
1047#117—28no—
1048#117—28no—
1049#117—28no—
1050#117—28no—
1051#117—216no—
1052#117—216no—
1053#117C2×D4116yes—
1054#117C2×D4116yes—
1055C2×C4⋊C4—28no—
1056C2×C4⋊C4—28no—
1057C2×C4⋊C4—28no—
1058C2×C4⋊C4—28no—
1059C2×C4⋊C4—28no—
1060C2×C4⋊C4—44no—
1061C2×C4⋊C4C2411yescharacteristic
1062C2×C4⋊C4C2412yes—
1063C2×C4⋊C4C2411yescharacteristic
1064C2×C4⋊C4C2411yescharacteristic
1065C2×C4⋊C4C2412yes—
1066C2×C4⋊C4C2414yes—
1067C2×C4⋊C4C2414yes—
1068C2×C4⋊C4C2414yes—
1069C2×C4⋊C4C2412yes—
1070C2×C4⋊C4C2412yes—
1071C2×C4⋊C4C2414yes—
1072C2×C4⋊C4C2412yes—
1073C2×C4⋊C4C2412yes—
1074C2×C4⋊C4C2411yescharacteristic
1075C2×C4⋊C4C2412yes—
1076C2×C4⋊C4C2411yescharacteristic
1077C2×C4⋊C4C2412yes—
1078C2×C4⋊C4C2411yescharacteristic
1079C2×C4⋊C4C2412yes—
1080C2×C4⋊C4C2412yes—
1081C2×C4⋊C4C2414yes—
1082C2×C4⋊C4C2412yes—
1083C2×C4⋊C4C2414yes—
1084C2×C4⋊C4C2412yes—
1085C2×C4⋊C4C2414yes—
1086C2×C4⋊C4C2412yes—
1087C2×C4⋊C4C2412yes—
1088C2×C4⋊C4C2412yes—
1089C2×C4⋊C4C2414yes—
1090C2×C4⋊C4C2412yes—
1091C2×C4⋊C4C2411yescharacteristic
1092C2×C4⋊C4C2411yescharacteristic
1093C2×C4⋊C4C2411yescharacteristic
1094C2×C4⋊C4C2414yes—
1095C2×C4⋊C4C2414yes—
1096C2×C4⋊C4C2412yes—
1097C2×C4⋊C4C2414yes—
1098C2×C4⋊C4C2414yes—
1099C2×C4⋊C4C2412yes—
1100C2×C4⋊C4C2412yes—
1101C2×C4⋊C4C2414yes—
1102C2×C4⋊C4C2414yes—
1103C2×C4⋊C4C2414yes—
1104C2×C4⋊C4C2412yes—
1105C2×C4⋊C4C2412yes—
1106C2×C4⋊C4C2412yes—
1107C2×C4⋊C4C2412yes—
1108C2×C4⋊C4C2414yes—
1109C2×C4⋊C4C2412yes—
1110C2×C4⋊C4C2414yes—
1111C2×C4⋊C4C2412yes—
1112C2×C4⋊C4C2412yes—
1113C2×C4⋊C4C2414yes—
1114C2×C4⋊C4C2414yes—
1115C2×C4⋊C4C2414yes—
1116C2×C4⋊C4C2414yes—
1117C2×C4⋊C4C2414yes—
1118C2×C4⋊C4C2414yes—
1119C2×C4⋊C4C2414yes—
1120C2×C4⋊C4C2414yes—
1121C2×C4⋊C4C2414yes—
1122C2×C4⋊C4C2412yes—
1123C2×C4⋊C4C2412yes—
1124C2×C4⋊C4C2411yescharacteristic
1125C2×C4⋊C4C2411yescharacteristic
1126C2×C4⋊C4C2412yes—
1127C2×C4⋊C4C2411yescharacteristic
1128C2×C4⋊C4C2411yescharacteristic
1129C2×C22⋊C4C2412yes—
1130C2×C22⋊C4C2412yes—
1131C2×C22⋊C4C2412yes—
1132C2×C22⋊C4C2414yes—
1133C2×C22⋊C4C2412yes—
1134C2×C22⋊C4C2412yes—
1135C2×C22⋊C4C2412yes—
1136C2×C22⋊C4C2414yes—
1137C2×C22⋊C4C2414yes—
1138C2×C22⋊C4C2414yes—
1139C2×C22⋊C4C2414yes—
1140C2×C22⋊C4C2414yes—
1141C2×C22⋊C4C2412yes—
1142C2×C22⋊C4C2414yes—
1143C2×C22⋊C4C2414yes—
1144C2×C22⋊C4C2411yescharacteristic
1145C2×C22⋊C4C2412yes—
1146C2×C22⋊C4C2412yes—
1147C2×C22⋊C4C2412yes—
1148C2×C22⋊C4C2414yes—
1149C2×C22⋊C4C2414yes—
1150C2×C22⋊C4C2412yes—
1151C2×C22⋊C4C2411yescharacteristic
1152C2×C22⋊C4C2412yes—
1153C2×C22⋊C4C2411yescharacteristic
1154C2×C22⋊C4C2411yescharacteristic
1155C2×C22⋊C4C2412yes—
1156C2×C22⋊C4C2412yes—
1157C2×C22⋊C4C2411yescharacteristic
1158C2×C22⋊C4C2412yes—
1159C2×C22⋊C4C2412yes—
1160C2×C22⋊C4C2414yes—
1161C2×C22⋊C4C2414yes—
1162C2×C22⋊C4C2414yes—
1163C2×C22⋊C4C2412yes—
1164C2×C22⋊C4C2412yes—
1165C2×C22⋊C4C2412yes—
1166C2×C22⋊C4C2414yes—
1167C2×C22⋊C4C2414yes—
1168C2×C22⋊C4C2412yes—
1169C2×C22⋊C4C2411yescharacteristic
1170C2×C22⋊C4C2412yes—
1171C2×C22⋊C4C2412yes—
1172C2×C22⋊C4C2412yes—
1173C2×C22⋊C4C2412yes—
1174C2×C22⋊C4C2412yes—
1175C2×C22⋊C4C2412yes—
1176C2×C22⋊C4C2414yes—
1177C2×C22⋊C4C2414yes—
1178C2×C22⋊C4C2414yes—
1179C2×C22⋊C4C2412yes—
1180C2×C22⋊C4C2412yes—
1181C2×C22⋊C4C2414yes—
1182C2×C22⋊C4C2412yes—
1183C2×C22⋊C4C2414yes—
1184C2×C22⋊C4C2412yes—
1185C2×C22⋊C4C2412yes—
1186C2×C42—28no—
1187C2×C42—28no—
1188C2×C42—24no—
1189C2×C42—24no—
1190C2×C42—28no—
1191C2×C42—44no—
1192C2×C42C2412yes—
1193C2×C42C2411yescharacteristic
1194C2×C42C2412yes—
1195C2×C42C2414yes—
1196C2×C42C2414yes—
1197C2×C42C2414yes—
1198C2×C42C2411yescharacteristic
1199C2×C42C2412yes—
1200C2×C42C2411yescharacteristic
1201C2×C42C2412yes—
1202C2×C42C2414yes—
1203C2×C42C2414yes—
1204C2×C42C2414yes—
1205C2×C42C2412yes—
1206C2×C42C2411yescharacteristic
1207C2×C42C2412yes—
1208C2×C42C2411yescharacteristic
1209C2×C42C2412yes—
1210C2×C42C2412yes—
1211C2×C42C2411yescharacteristic
1212C2×C42C2411yescharacteristic
1213C2×C42C2411yescharacteristic
1214C2×C42C2411yescharacteristic
1215C2×C42C2412yes—
1216C2×C42C2412yes—
1217C2×C42C2412yes—
1218C2×C42C2414yes—
1219C2×C42C2411yescharacteristic
1220C2×C42C2411yescharacteristic
1221C2×C42C2414yes—
1222C2×C42C2412yes—
1223C2×C42C2412yes—
1224C2×C42C2414yes—
1225C2×C42C2411yescharacteristic
1226C2×C42C2411yescharacteristic
1227#95C2412yes—
1228#95C2411yescharacteristic
1229#95C2411yescharacteristic
1230#95C2412yes—
1231#95C2414yes—
1232#95C2414yes—
1233#95C2414yes—
1234#95C2412yes—
1235#95C2412yes—
1236#95C2412yes—
1237#95C2412yes—
1238#95C2412yes—
1239#95C2414yes—
1240#95C2414yes—
1241#95C2414yes—
1242#95C2412yes—
1243#95C2412yes—
1244#95C2414yes—
1245#95C2414yes—
1246#95C2414yes—
1247#95C2414yes—
1248#95C2414yes—
1249#95C2414yes—
1250#95C2412yes—
1251#95C2411yescharacteristic
1252#95C2411yescharacteristic
1253#95C2412yes—
1254#95C2412yes—
1255#95C2412yes—
1256#95C2411yescharacteristic
1257#95C2411yescharacteristic
1258#95C2412yes—
1259#95C2412yes—
1260#95C2412yes—
1261#95C2412yes—
1262#95C2412yes—
1263#95C2414yes—
1264#95C2412yes—
1265#95C2412yes—
1266#95C2412yes—
1267#95C2414yes—
1268#95C2412yes—
1269#95C2412yes—
1270#95C2414yes—
1271#95C2412yes—
1272#95C2412yes—
1273#95C2414yes—
1274#95C2412yes—
1275#95C2414yes—
1276#95C2414yes—
1277#95C2414yes—
1278#95C2412yes—
1279#95C2412yes—
1280#95C2414yes—
1281#95C2414yes—
1282#95C2414yes—
1283#95C2414yes—
1284#95C2414yes—
1285C24C2511yescharacteristic
1286C24C2512yes—
1287C24C2512yes—
1288C24C2512yes—
1289C24C2511yescharacteristic
1290#41—432no—
1291#41—416no—
1292#41—416no—
1293#41—832no—
1294C2×Q8—22no—
1295C2×Q8—22no—
1296C2×Q8—22no—
1297C2×Q8—28no—
1298C2×Q8—24no—
1299C2×Q8—24no—
1300C2×Q8—28no—
1301C2×Q8—28no—
1302C2×Q8—24no—
1303C2×Q8—24no—
1304C2×Q8—22no—
1305C2×Q8—28no—
1306C2×Q8—24no—
1307C2×Q8—22no—
1308C2×Q8—22no—
1309C2×Q8—22no—
1310C2×Q8—24no—
1311C2×Q8—22no—
1312C2×Q8—28no—
1313C2×Q8—42no—
1314C2×Q8—44no—
1315C2×Q8—42no—
1316C2×Q8—44no—
1317C2×Q8—42no—
1318C2×Q8—44no—
1319C2×Q8—42no—
1320C2×Q8—44no—
1321C2×Q8—42no—
1322C2×Q8—432no—
1323C2×Q8—816no—
1324C2×Q8C22×D418yes—
1325C2×Q8C2×#4114yes—
1326C2×D4—24no—
1327C2×D4—24no—
1328C2×D4—24no—
1329C2×D4—24no—
1330C2×D4—24no—
1331C2×D4—22no—
1332C2×D4—24no—
1333C2×D4—24no—
1334C2×D4—24no—
1335C2×D4—24no—
1336C2×D4—28no—
1337C2×D4—22no—
1338C2×D4—24no—
1339C2×D4—22no—
1340C2×D4—24no—
1341C2×D4—24no—
1342C2×D4—22no—
1343C2×D4—22no—
1344C2×D4—22no—
1345C2×D4—22no—
1346C2×D4—22no—
1347C2×D4—24no—
1348C2×D4—22no—
1349C2×D4—24no—
1350C2×D4—41no—
1351C2×D4—44no—
1352C2×D4—42no—
1353C2×D4—44no—
1354C2×D4—42no—
1355C2×D4—42no—
1356C2×D4—42no—
1357C2×D4—42no—
1358C2×D4—42no—
1359C2×D4—42no—
1360C2×D4—42no—
1361C2×D4—42no—
1362C2×D4—42no—
1363C2×D4—44no—
1364C2×D4—44no—
1365C2×D4C22×D414yes—
1366C2×D4C22×D414yes—
1367C2×D4C22×D4116yes—
1368C22×C4—22no—
1369C22×C4—24no—
1370C22×C4—24no—
1371C22×C4—24no—
1372C22×C4—24no—
1373C22×C4—22no—
1374C22×C4—24no—
1375C22×C4—24no—
1376C22×C4—24no—
1377C22×C4—28no—
1378C22×C4—24no—
1379C22×C4—28no—
1380C22×C4—22no—
1381C22×C4—22no—
1382C22×C4—22no—
1383C22×C4—22no—
1384C22×C4—24no—
1385C22×C4—24no—
1386C22×C4—24no—
1387C22×C4—24no—
1388C22×C4—22no—
1389C22×C4—24no—
1390C22×C4—28no—
1391C22×C4—24no—
1392C22×C4—22no—
1393C22×C4—22no—
1394C22×C4—22no—
1395C22×C4—22no—
1396C22×C4—24no—
1397C22×C4—22no—
1398C22×C4—24no—
1399C22×C4—22no—
1400C22×C4—22no—
1401C22×C4—28no—
1402C22×C4—28no—
1403C22×C4—24no—
1404C22×C4—24no—
1405C22×C4—24no—
1406C22×C4—42no—
1407C22×C4—44no—
1408C22×C4—41no—
1409C22×C4—42no—
1410C22×C4—42no—
1411C22×C4—42no—
1412C22×C4—42no—
1413C22×C4—42no—
1414C22×C4—42no—
1415C22×C4—42no—
1416C22×C4—41no—
1417C22×C4—42no—
1418C22×C4—42no—
1419C22×C4—42no—
1420C22×C4—41no—
1421C22×C4—44no—
1422C22×C4—44no—
1423C22×C4—42no—
1424C22×C4—44no—
1425C22×C4—44no—
1426C22×C4—44no—
1427C22×C4—44no—
1428C22×C4C22×D418yes—
1429C22×C4C22×D418yes—
1430C22×C4C2×#4114yes—
1431C22×C4C2511yescharacteristic
1432C22×C4C2512yes—
1433C22×C4C2512yes—
1434C22×C4C2511yescharacteristic
1435C22×C4C2511yescharacteristic
1436C22×C4C2514yes—
1437C22×C4C2512yes—
1438C22×C4C2511yescharacteristic
1439C22×C4C2512yes—
1440C22×C4C2514yes—
1441C22×C4C2511yescharacteristic
1442C22×C4C2514yes—
1443C22×C4C2512yes—
1444C22×C4C2512yes—
1445C22×C4C2511yescharacteristic
1446C22×C4C2512yes—
1447C22×C4C2512yes—
1448C22×C4C2512yes—
1449C22×C4C2512yes—
1450C22×C4C2511yescharacteristic
1451C22×C4C2514yes—
1452C22×C4C2512yes—
1453C22×C4C2512yes—
1454C22×C4C2511yescharacteristic
1455C22×C4C2511yescharacteristic
1456C22×C4C2511yescharacteristic
1457C22×C4C2512yes—
1458C22×C4C2511yescharacteristic
1459C22×C4C2511yescharacteristic
1460C22×C4C2511yescharacteristic
1461C4⋊C4—22no—
1462C4⋊C4—24no—
1463C4⋊C4—24no—
1464C4⋊C4—28no—
1465C4⋊C4—28no—
1466C4⋊C4—28no—
1467C4⋊C4—28no—
1468C4⋊C4—24no—
1469C4⋊C4—22no—
1470C4⋊C4—24no—
1471C4⋊C4—22no—
1472C4⋊C4—24no—
1473C4⋊C4—24no—
1474C4⋊C4—22no—
1475C4⋊C4—24no—
1476C4⋊C4—28no—
1477C4⋊C4—24no—
1478C4⋊C4—28no—
1479C4⋊C4—24no—
1480C4⋊C4—28no—
1481C4⋊C4—24no—
1482C4⋊C4—24no—
1483C4⋊C4—28no—
1484C4⋊C4—28no—
1485C4⋊C4—28no—
1486C4⋊C4—24no—
1487C4⋊C4—28no—
1488C4⋊C4—24no—
1489C4⋊C4—28no—
1490C4⋊C4—22no—
1491C4⋊C4—24no—
1492C4⋊C4—24no—
1493C4⋊C4—24no—
1494C4⋊C4—28no—
1495C4⋊C4—28no—
1496C4⋊C4—28no—
1497C4⋊C4—24no—
1498C4⋊C4—24no—
1499C4⋊C4—22no—
1500C4⋊C4—22no—
1501C4⋊C4—24no—
1502C4⋊C4—22no—
1503C4⋊C4—24no—
1504C4⋊C4—22no—
1505C4⋊C4—24no—
1506C4⋊C4—42no—
1507C4⋊C4—42no—
1508C4⋊C4—42no—
1509C4⋊C4—44no—
1510C4⋊C4—44no—
1511C4⋊C4—42no—
1512C4⋊C4—44no—
1513C4⋊C4—42no—
1514C4⋊C4—44no—
1515C4⋊C4—44no—
1516C4⋊C4—44no—
1517C4⋊C4—44no—
1518C4⋊C4—44no—
1519C4⋊C4—44no—
1520C4⋊C4—44no—
1521C4⋊C4—44no—
1522C4⋊C4C22×D418yes—
1523C4⋊C4C22×D418yes—
1524C4⋊C4C22×D414yes—
1525C4⋊C4C22×D414yes—
1526C4⋊C4C2×#4118yes—
1527C4⋊C4C2×#4114yes—
1528C4⋊C42−1+414yes—
1529C22⋊C4—24no—
1530C22⋊C4—24no—
1531C22⋊C4—24no—
1532C22⋊C4—24no—
1533C22⋊C4—28no—
1534C22⋊C4—28no—
1535C22⋊C4—24no—
1536C22⋊C4—28no—
1537C22⋊C4—24no—
1538C22⋊C4—28no—
1539C22⋊C4—28no—
1540C22⋊C4—22no—
1541C22⋊C4—28no—
1542C22⋊C4—24no—
1543C22⋊C4—28no—
1544C22⋊C4—24no—
1545C22⋊C4—28no—
1546C22⋊C4—28no—
1547C22⋊C4—24no—
1548C22⋊C4—24no—
1549C22⋊C4—24no—
1550C22⋊C4—28no—
1551C22⋊C4—24no—
1552C22⋊C4—22no—
1553C22⋊C4—24no—
1554C22⋊C4—28no—
1555C22⋊C4—28no—
1556C22⋊C4—28no—
1557C22⋊C4—24no—
1558C22⋊C4—24no—
1559C22⋊C4—22no—
1560C22⋊C4—22no—
1561C22⋊C4—24no—
1562C22⋊C4—24no—
1563C22⋊C4—24no—
1564C22⋊C4—24no—
1565C22⋊C4—22no—
1566C22⋊C4—42no—
1567C22⋊C4—42no—
1568C22⋊C4—42no—
1569C22⋊C4—41no—
1570C22⋊C4—44no—
1571C22⋊C4—44no—
1572C22⋊C4—42no—
1573C22⋊C4—44no—
1574C22⋊C4—42no—
1575C22⋊C4—42no—
1576C22⋊C4—42no—
1577C22⋊C4—44no—
1578C22⋊C4—44no—
1579C22⋊C4—42no—
1580C22⋊C4—42no—
1581C22⋊C4C22×D4116yes—
1582C22⋊C4C22×D418yes—
1583C22⋊C4C22×D4116yes—
1584C22⋊C4C22×D418yes—
1585C22⋊C4C2×#4118yes—
1586C42—22no—
1587C42—22no—
1588C42—24no—
1589C42—24no—
1590C42—22no—
1591C42—22no—
1592C42—24no—
1593C42—22no—
1594C42—24no—
1595C42—22no—
1596C42—24no—
1597C42—24no—
1598C42—28no—
1599C42—28no—
1600C42—28no—
1601C42—28no—
1602C42—24no—
1603C42—28no—
1604C42—22no—
1605C42—24no—
1606C42—24no—
1607C42—24no—
1608C42—28no—
1609C42—22no—
1610C42—22no—
1611C42—24no—
1612C42—42no—
1613C42—42no—
1614C42—41no—
1615C42—44no—
1616C42—41no—
1617C42—44no—
1618C42C22×D414yes—
1619C42C22×D4116yes—
1620C422−1+414yes—
1621C23—21no—
1622C23—22no—
1623C23—22no—
1624C23—21no—
1625C23—22no—
1626C23—22no—
1627C23—22no—
1628C23—21no—
1629C23—22no—
1630C23—21no—
1631C23—22no—
1632C23—22no—
1633C23—22no—
1634C23—21no—
1635C23—22no—
1636C23—21no—
1637C23—22no—
1638C23—22no—
1639C23—21no—
1640C23—22no—
1641C23—22no—
1642C23—21no—
1643C23—22no—
1644C23—21no—
1645C23—22no—
1646C23—21no—
1647C23—21no—
1648C23—22no—
1649C23—21no—
1650C23—22no—
1651C23—21no—
1652C23—22no—
1653C23C23×D414yes—
1654C23C23×D414yes—
1655C23C22×#4112yes—
1656C23C2611yescharacteristic
1657Q8—28no—
1658Q8—48no—
1659Q8—416no—
1660Q8—416no—
1661Q8—48no—
1662Q8—48no—
1663Q8—44no—
1664Q8—44no—
1665Q8—88no—
1666Q8—84no—
1667D4—28no—
1668D4—28no—
1669D4—416no—
1670D4—44no—
1671D4—48no—
1672D4—48no—
1673D4—48no—
1674D4—48no—
1675D4—48no—
1676D4—48no—
1677D4—44no—
1678D4—84no—
1679D4—84no—
1680D4—88no—
1681C2×C4—21no—
1682C2×C4—22no—
1683C2×C4—21no—
1684C2×C4—22no—
1685C2×C4—21no—
1686C2×C4—22no—
1687C2×C4—22no—
1688C2×C4—22no—
1689C2×C4—21no—
1690C2×C4—22no—
1691C2×C4—22no—
1692C2×C4—22no—
1693C2×C4—22no—
1694C2×C4—21no—
1695C2×C4—21no—
1696C2×C4—24no—
1697C2×C4—21no—
1698C2×C4—22no—
1699C2×C4—21no—
1700C2×C4—24no—
1701C2×C4—21no—
1702C2×C4—21no—
1703C2×C4—216no—
1704C2×C4—28no—
1705C2×C4—216no—
1706C2×C4—21no—
1707C2×C4—21no—
1708C2×C4—21no—
1709C2×C4—22no—
1710C2×C4—22no—
1711C2×C4—21no—
1712C2×C4—22no—
1713C2×C4—22no—
1714C2×C4—22no—
1715C2×C4—24no—
1716C2×C4—22no—
1717C2×C4—24no—
1718C2×C4—21no—
1719C2×C4—24no—
1720C2×C4—24no—
1721C2×C4—21no—
1722C2×C4—22no—
1723C2×C4—22no—
1724C2×C4—22no—
1725C2×C4—21no—
1726C2×C4—24no—
1727C2×C4—21no—
1728C2×C4—21no—
1729C2×C4—22no—
1730C2×C4—21no—
1731C2×C4—21no—
1732C2×C4—22no—
1733C2×C4—22no—
1734C2×C4—21no—
1735C2×C4—21no—
1736C2×C4—22no—
1737C2×C4—21no—
1738C2×C4—22no—
1739C2×C4—21no—
1740C2×C4—21no—
1741C2×C4—22no—
1742C2×C4—22no—
1743C2×C4—24no—
1744C2×C4—22no—
1745C2×C4—22no—
1746C2×C4—22no—
1747C2×C4—24no—
1748C2×C4—24no—
1749C2×C4—21no—
1750C2×C4—22no—
1751C2×C4—22no—
1752C2×C4—22no—
1753C2×C4—21no—
1754C2×C4—22no—
1755C2×C4—22no—
1756C2×C4—24no—
1757C2×C4—48no—
1758C2×C4—44no—
1759C2×C4—416no—
1760C2×C4—48no—
1761C2×C4—48no—
1762C2×C4—48no—
1763C2×C4—44no—
1764C2×C4—48no—
1765C2×C4—44no—
1766C2×C4—44no—
1767C2×C4—82no—
1768C2×C4—84no—
1769C2×C4—84no—
1770C2×C4—84no—
1771C2×C4—88no—
1772C2×C4—88no—
1773C2×C4—84no—
1774C2×C4—88no—
1775C2×C4C23×D414yes—
1776C2×C4C23×D412yes—
1777C2×C4C23×D418yes—
1778C2×C4C23×D414yes—
1779C2×C4C23×D412yes—
1780C2×C4C23×D412yes—
1781C2×C4C22×#4114yes—
1782C2×C4C22×#4114yes—
1783C2×C4C22×#4112yes—
1784C2×C4C22×#4112yes—
1785C2×C4C2×2−1+412yes—
1786C2×C4C2×2−1+412yes—
1787C2×C4C2×2−1+414yes—
1788C2×C4C2×2−1+412yes—
1789C2×C4C2×2−1+412yes—
1790C2×C4#58512yes—
1791C2×C4#58512yes—
1792C22—24no—
1793C22—24no—
1794C22—22no—
1795C22—24no—
1796C22—24no—
1797C22—22no—
1798C22—24no—
1799C22—22no—
1800C22—24no—
1801C22—41no—
1802C22—42no—
1803C22—42no—
1804C22—42no—
1805C22—41no—
1806C22—42no—
1807C22—41no—
1808C22—42no—
1809C22—42no—
1810C22—42no—
1811C22—42no—
1812C22—41no—
1813C22—42no—
1814C22—41no—
1815C22—42no—
1816C22—41no—
1817C22—41no—
1818C22—42no—
1819C22—41no—
1820C22—42no—
1821C22—41no—
1822C22—42no—
1823C22—42no—
1824C22—41no—
1825C22—41no—
1826C22—42no—
1827C22C24×D411yescharacteristic
1828C22C23×#4111yescharacteristic
1829C22C22×2−1+411yescharacteristic
1830C22C22×2−1+411yescharacteristic
1831C22C2×#58511yescharacteristic
1832C22C2×#58511yescharacteristic
1833C22H(7,𝔽2)11yescharacteristic
1834C4—22no—
1835C4—22no—
1836C4—28no—
1837C4—24no—
1838C4—24no—
1839C4—22no—
1840C4—24no—
1841C4—22no—
1842C4—22no—
1843C4—24no—
1844C4—24no—
1845C4—42no—
1846C4—41no—
1847C4—44no—
1848C4—42no—
1849C4—42no—
1850C4—41no—
1851C4—44no—
1852C4—41no—
1853C4—41no—
1854C4—41no—
1855C4—42no—
1856C4—42no—
1857C4—42no—
1858C4—41no—
1859C4—42no—
1860C4—42no—
1861C4—44no—
1862C4D4×#4114yes—
1863C4#349914yes—
1864C2—44no—
1865C2—44no—
1866C2—42no—
1867C2—82no—
1868C2—81no—
1869C2C2×D4×#4111yescharacteristic
1870C2C2×#349911yescharacteristic
1871C2#6280511yescharacteristic
1872C2#6292911yescharacteristic
1873C2#6298711yescharacteristic
1874C2#6299911yescharacteristic
1875C2#6302511yescharacteristic
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×#3511C2semidirect
2. C2×#3518C2semidirect
3. #59655C2semidirect
4. #59415C2semidirect
5. #59409C2semidirect
6. #59315C2semidirect
7. #59151C2semidirect
8. #59121C2semidirect
9. #59115C2semidirect
10. #59052C2semidirect
11. #45091C2semidirect
12. #44875C2semidirect
13. #44843C2semidirect
14. #44842C2semidirect
15. #39867C2semidirect
16. #39866C2semidirect
17. #39446C2semidirect
18. #39432C2semidirect
19. #39343C2semidirect
20. #38921C2semidirect
21. #36473C2semidirect
22. #36470C2semidirect
23. #36411C2semidirect
24. #36405C2semidirect
25. #36276C2semidirect
26. #36185C2semidirect
27. #36139C2semidirect
28. #36129C2semidirect
29. #36089C2semidirect
30. #36007C2semidirect
31. #34938C2semidirect
32. #34889C2semidirect
33. #34276C2semidirect
34. C4×#555C2semidirect
35. C4×#547C2semidirect
315. #555D4semidirect
981. C22⋊Q8#41semidirect

Maximal subgroups

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

subgroupindex
C2×#35112
C2×#35182
#596552
#594152
#594092
#593152
#591512
#591212
#591152
#590522
#450912
#448752
#448432
#448422
#398672
#398662
#394462
#394322
#393432
#389212
#364732
#364702
#364112
#364052
#362762
#361852
#361392
#361292
#360892
#360072
#349382
#348892
#342762
C4×#5552
C4×#5472