Finite Group Databasebeta

← #7692178

Subgroups — #7692178

Order 512.

7015 conjugacy classes of subgroups.

The subgroup lattice has 1846 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3507C211yesmaximal, characteristic, complemented
2C2×#3480C211yesmaximal, characteristic, complemented
3#59415C212yesmaximal, complemented
4#59411C211yesmaximal, characteristic, complemented
5#59146C212yesmaximal, complemented
6#59109C214yesmaximal, complemented
7#59073C212yesmaximal, complemented
8#59064C211yesmaximal, characteristic, complemented
9#59037C212yesmaximal, complemented
10#59033C211yesmaximal, characteristic, complemented
11#45429C212yesmaximal, complemented
12#45144C212yesmaximal, complemented
13#43534C214yesmaximal, complemented
14#43036C214yesmaximal, complemented
15#39952C212yesmaximal, complemented
16#39856C212yesmaximal, complemented
17#39744C211yesmaximal, characteristic, complemented
18#39727C211yesmaximal, characteristic, complemented
19#37732C214yesmaximal, complemented
20#37680C212yesmaximal, complemented
21#36577C211yesmaximal, characteristic, complemented
22#36560C211yesmaximal, characteristic, complemented
23#36545C211yesmaximal, characteristic, complemented
24#36505C211yesmaximal, characteristic, complemented
25#36405C212yesmaximal, complemented
26#36219C212yesmaximal, complemented
27#36135C212yesmaximal, complemented
28#36127C211yesmaximal, characteristic, complemented
29#35959C212yesmaximal, complemented
30#35778C212yesmaximal, complemented
31#34724C212yesmaximal, complemented
32#34691C211yesmaximal, characteristic, complemented
33#34331C211yesmaximal, characteristic, complemented
34#34289C212yesmaximal, complemented
35C4×#548C211yesmaximal, characteristic, complemented
36#3507—216no—
37#3480—216no—
38C2×#559C2211yescharacteristic
39C2×#559C2212yes—
40C2×#559C2211yescharacteristic
41C2×#557C2211yescharacteristic
42C2×#557C2211yescharacteristic
43C2×#557C2211yescharacteristic
44C2×#556C2212yes—
45C2×#556C2212yes—
46C2×#556C2211yescharacteristic
47C2×#556C2212yes—
48C2×#556C2212yes—
49C2×#554C2212yes—
50C2×#553C2214yes—
51C2×#553C2212yes—
52C2×#552C2214yes—
53C2×#550C2211yescharacteristic
54C2×#548C2212yes—
55C2×#548C2211yescharacteristic
56C2×#547C2212yes—
57C2×#539C2214yes—
58C2×#536C2212yes—
59C2×#533C2211yescharacteristic
60C2×#532C2212yes—
61C2×#532C2211yescharacteristic
62C2×#532C2211yescharacteristic
63C2×#529C2212yes—
64C2×#529C2212yes—
65C2×#529C2212yes—
66C2×#529C2214yes—
67C2×#520C2212yes—
68C2×C4×#41C2212yes—
69C2×C4×#41C2211yescharacteristic
70C2×C4×#41C2212yes—
71C22×C4×Q8C2211yescharacteristic
72C22×C4×Q8C2211yescharacteristic
73#2868C2211yescharacteristic
74#2859C2212yes—
75#2857C2211yescharacteristic
76#2857C2211yescharacteristic
77#2857C2212yes—
78#2855C2214yes—
79#2851C2212yes—
80#2851C2212yes—
81#2725C2214yes—
82#2722C2214yes—
83#2722C2214yes—
84#2721C2214yes—
85#2721C2214yes—
86#2708C2214yes—
87#2702C2214yes—
88#2701C2214yes—
89#2698C2214yes—
90#2698C2214yes—
91#2698C2214yes—
92#2695C2214yes—
93#2691C2214yes—
94#2689C2214yes—
95#2688C2214yes—
96#2687C2214yes—
97#2681C2214yes—
98#2672C2214yes—
99#2672C2214yes—
100#2671C2214yes—
101#2671C2214yes—
102#2663C2214yes—
103#2658C2212yes—
104#2630C2214yes—
105#2620C2212yes—
106#2592C2212yes—
107#2584C2212yes—
108#2582C2211yescharacteristic
109#2582C2212yes—
110#2582C2212yes—
111#2581C2212yes—
112#2579C2214yes—
113#2568C2211yescharacteristic
114#2568C2212yes—
115#2568C2211yescharacteristic
116#2565C2212yes—
117#2565C2212yes—
118#2564C2214yes—
119#2562C2212yes—
120#2559C2214yes—
121#2553C2214yes—
122#2553C2214yes—
123#2553C2214yes—
124#2549C2214yes—
125#2547C2212yes—
126#2547C2211yescharacteristic
127#2547C2212yes—
128#2546C2212yes—
129#2546C2212yes—
130#2546C2212yes—
131#2546C2211yescharacteristic
132#2545C2212yes—
133#2544C2212yes—
134#2544C2212yes—
135#2538C2211yescharacteristic
136#2537C2212yes—
137#2537C2212yes—
138#2536C2212yes—
139#2536C2212yes—
140#2535C2212yes—
141#2521C2214yes—
142#2521C2214yes—
143#2506C2214yes—
144#2506C2214yes—
145#2498C2214yes—
146#2485C2214yes—
147#2478C2214yes—
148#2478C2214yes—
149#2478C2214yes—
150#2478C2214yes—
151#2476C2214yes—
152#2475C2214yes—
153#2474C2214yes—
154#2473C2212yes—
155#2473C2214yes—
156#2470C2214yes—
157#2470C2214yes—
158#2468C2214yes—
159#2468C2214yes—
160#2468C2214yes—
161#2466C2214yes—
162#2465C2212yes—
163#2462C2214yes—
164#2462C2212yes—
165#2460C2214yes—
166#2459C2214yes—
167#2455C2214yes—
168#2455C2214yes—
169#2455C2214yes—
170#2453C2214yes—
171#2453C2212yes—
172#2451C2211yescharacteristic
173#2450C2214yes—
174#2449C2212yes—
175#2449C2214yes—
176#2449C2214yes—
177#2447C2212yes—
178#2447C2212yes—
179#2447C2212yes—
180#2447C2212yes—
181#2446C2212yes—
182#2446C2212yes—
183#2446C2211yescharacteristic
184#2445C2212yes—
185#2444C2214yes—
186#2442C2214yes—
187#2442C2212yes—
188#2441C2212yes—
189#2441C2212yes—
190#2440C2211yescharacteristic
191#2439C2212yes—
192#2438C2214yes—
193#2438C2214yes—
194#2438C2214yes—
195#2434C2211yescharacteristic
196#2434C2212yes—
197#2432C2212yes—
198#2432C2212yes—
199#2432C2212yes—
200#2432C2212yes—
201#2432C2212yes—
202#2431C2212yes—
203#2429C2212yes—
204#2429C2211yescharacteristic
205#2427C2212yes—
206#2427C2212yes—
207#2425C2214yes—
208#2423C2212yes—
209#2423C2211yescharacteristic
210#2423C2212yes—
211#2422C2212yes—
212#2422C2212yes—
213#2422C2212yes—
214#2422C2212yes—
215#2422C2212yes—
216#2420C2212yes—
217#2420C2212yes—
218#2419C2214yes—
219#2417C2211yescharacteristic
220#2415C2214yes—
221#2415C2212yes—
222#2413C2214yes—
223#2409C2211yescharacteristic
224#2407C2212yes—
225#2399C2212yes—
226#2396C2212yes—
227#2395C2214yes—
228#2392C2214yes—
229#2367C2212yes—
230#2367C2212yes—
231#2367C2212yes—
232#2367C2211yescharacteristic
233#2367C2212yes—
234#2366C2211yescharacteristic
235#2365C2212yes—
236#2365C2212yes—
237#2365C2212yes—
238#2364C2214yes—
239#2362C2211yescharacteristic
240#2362C2212yes—
241#2362C2212yes—
242#2361C2212yes—
243#2361C2211yescharacteristic
244#2360C2212yes—
245#2359C2214yes—
246#2359C2214yes—
247#2359C2214yes—
248#2359C2214yes—
249#2355C2211yescharacteristic
250#2354C2212yes—
251#2352C2212yes—
252#2352C2211yescharacteristic
253#2351C2212yes—
254#2351C2211yescharacteristic
255Q8×C4⋊C4C2211yescharacteristic
256#2349C2212yes—
257#2349C2212yes—
258#2349C2212yes—
259D4×C4⋊C4C2212yes—
260D4×C4⋊C4C2212yes—
261#2344C2214yes—
262#2341C2211yescharacteristic
263Q8×C22⋊C4C2212yes—
264Q8×C22⋊C4C2211yescharacteristic
265#2339C2212yes—
266#2339C2212yes—
267#2339C2212yes—
268#2339C2212yes—
269#2335C2214yes—
270#2327C2212yes—
271#2326C2212yes—
272#2325C2214yes—
273#2323C2212yes—
274#2322C2214yes—
275C4×C4⋊Q8C2211yescharacteristic
276C4×C4⋊Q8C2212yes—
277C4×#127C2211yescharacteristic
278C4×#124C2212yes—
279C4×#124C2211yescharacteristic
280C4×#124C2212yes—
281C4×C22⋊Q8C2212yes—
282C4×C22⋊Q8C2212yes—
283C4×C22⋊Q8C2212yes—
284C4×C22⋊Q8C2211yescharacteristic
285C4×C22⋊Q8C2211yescharacteristic
286C4×C22⋊Q8C2211yescharacteristic
287C4×C22⋊Q8C2212yes—
288C4×C22⋊Q8C2212yes—
289C4×#123C2214yes—
290C4×#121C2211yescharacteristic
291C4×#121C2212yes—
292#2296C2214yes—
293#2295C2211yescharacteristic
294#2293C2212yes—
295#2290C2212yes—
296C2×#387C2214yes—
297#2275C2212yes—
298C42×Q8C2211yescharacteristic
299C42×D4C2211yescharacteristic
300C42×D4C2212yes—
301C22×#41C2312yes—
302C22×#41C2312yes—
303C22×#41C2312yes—
304C22×#41C2311yescharacteristic
305C23×Q8C2311yescharacteristic
306C23×Q8C2311yescharacteristic
307#559—28no—
308#559—216no—
309#559D4116yescomplemented
310#557—28no—
311#557—28no—
312#557—28no—
313#556—216no—
314#556—216no—
315#556—216no—
316#556—28no—
317#556—216no—
318#554—216no—
319#553—232no—
320#553—216no—
321#552—232no—
322#550—28no—
323#548—216no—
324#548—28no—
325#547—216no—
326#539—232no—
327#536—216no—
328#533—28no—
329#532—28no—
330#532—28no—
331#532—216no—
332C2×C4⋊Q8C2311yescharacteristic
333C2×C4⋊Q8C2311yescharacteristic
334C2×C4⋊Q8C2311yescharacteristic
335C2×C4⋊Q8C2312yes—
336C2×C4⋊Q8C2312yes—
337C2×C4⋊Q8C2312yes—
338C2×C4⋊Q8C2311yescharacteristic
339C2×C4⋊Q8C2311yescharacteristic
340C2×C4⋊Q8C2312yes—
341C2×C4⋊Q8C2312yes—
342C2×C4⋊Q8C2312yes—
343C2×#127C2312yes—
344C2×#127C2311yescharacteristic
345#529—216no—
346#529—216no—
347#529—232no—
348#529—216no—
349C2×#126C2314yes—
350C2×#126C2314yes—
351C2×#126C2314yes—
352C2×#126C2314yes—
353C2×#126C2314yes—
354C2×#126C2314yes—
355C2×#126C2314yes—
356C2×#125C2312yes—
357C2×#125C2312yes—
358C2×#125C2312yes—
359C2×#125C2314yes—
360C2×#125C2312yes—
361C2×#125C2314yes—
362C2×#125C2314yes—
363C2×#124C2312yes—
364C2×#124C2311yescharacteristic
365C2×#124C2312yes—
366C2×#124C2312yes—
367C2×#124C2314yes—
368C2×#124C2312yes—
369C2×#124C2312yes—
370C2×#124C2312yes—
371C2×#124C2312yes—
372C2×#124C2312yes—
373C2×#124C2312yes—
374C2×#123C2314yes—
375C2×#123C2314yes—
376C2×#123C2314yes—
377C2×#123C2314yes—
378C2×#123C2314yes—
379C2×#123C2314yes—
380C2×#123C2314yes—
381C2×#123C2314yes—
382C2×#123C2314yes—
383C2×C22⋊Q8C2314yes—
384C2×C22⋊Q8C2312yes—
385C2×C22⋊Q8C2312yes—
386C2×C22⋊Q8C2311yescharacteristic
387C2×C22⋊Q8C2312yes—
388C2×C22⋊Q8C2311yescharacteristic
389C2×C22⋊Q8C2311yescharacteristic
390C2×C22⋊Q8C2311yescharacteristic
391C2×C22⋊Q8C2312yes—
392C2×C22⋊Q8C2314yes—
393C2×C22⋊Q8C2314yes—
394C2×C22⋊Q8C2314yes—
395C2×C22⋊Q8C2312yes—
396C2×C22⋊Q8C2314yes—
397C2×C22⋊Q8C2312yes—
398C2×C22⋊Q8C2312yes—
399C2×C22⋊Q8C2311yescharacteristic
400C2×#121C2314yes—
401C2×#121C2311yescharacteristic
402C2×#121C2312yes—
403C2×#121C2312yes—
404C2×#121C2314yes—
405C2×#121C2314yes—
406C2×#121C2312yes—
407C2×#121C2314yes—
408C2×#121C2312yes—
409C2×#121C2312yes—
410C2×#121C2312yes—
411#520—216no—
412C4×#41—28no—
413C4×#41—216no—
414C4×#41—216no—
415C2×C4×Q8—28no—
416C2×C4×Q8—28no—
417C2×C4×Q8C2312yes—
418C2×C4×Q8C2312yes—
419C2×C4×Q8C2311yescharacteristic
420C2×C4×Q8C2311yescharacteristic
421C2×C4×Q8C2312yes—
422C2×C4×Q8C2312yes—
423C2×C4×Q8C2312yes—
424C2×C4×Q8C2311yescharacteristic
425C2×C4×Q8C2312yes—
426C2×C4×Q8C2312yes—
427C2×C4×Q8C2311yescharacteristic
428C2×C4×Q8C2311yescharacteristic
429C2×C4×Q8C2312yes—
430C2×C4×Q8C2311yescharacteristic
431C2×C4×Q8C2311yescharacteristic
432C2×C4×Q8C2312yes—
433C2×C4×Q8C2311yescharacteristic
434C2×C4×Q8C2312yes—
435C2×C4×Q8C2312yes—
436C2×C4×Q8C2311yescharacteristic
437C2×C4×Q8C2312yes—
438C2×C4×Q8C2311yescharacteristic
439C2×C4×Q8C2312yes—
440C2×C4×Q8C2311yescharacteristic
441C2×C4×Q8C2311yescharacteristic
442C2×C4×D4C2312yes—
443C2×C4×D4C2312yes—
444C2×C4×D4C2314yes—
445C2×C4×D4C2314yes—
446C2×C4×D4C2314yes—
447C2×C4×D4C2312yes—
448C2×C4×D4C2312yes—
449C2×C4×D4C2312yes—
450C2×C4×D4C2312yes—
451C2×C4×D4C2312yes—
452C2×C4×D4C2312yes—
453C2×C4×D4C2312yes—
454C2×C4×D4C2312yes—
455C2×C4×D4C2314yes—
456C2×C4×D4C2314yes—
457C2×C4×D4C2314yes—
458C2×C4×D4C2311yescharacteristic
459C2×C4×D4C2312yes—
460C2×C4×D4C2314yes—
461C2×C4×D4C2311yescharacteristic
462C2×C4×D4C2312yes—
463C2×C4×D4C2312yes—
464C2×C4×D4C2312yes—
465C2×C4×D4C2312yes—
466C2×C4×D4C2312yes—
467C2×C4×D4C2311yescharacteristic
468C2×C4×D4C2312yes—
469C2×C4×D4C2311yescharacteristic
470C2×C4×D4C2312yes—
471C2×C4×D4C2312yes—
472C2×C4×D4C2311yescharacteristic
473C2×#117C2312yes—
474C2×#117C2314yes—
475C2×#117C2314yes—
476C2×#117C2311yescharacteristic
477C2×#117C2312yes—
478C2×#117C2314yes—
479C2×#117C2314yes—
480C2×#117C2312yes—
481C2×#117C2314yes—
482C2×#117C2314yes—
483C22×C4⋊C4C2314yes—
484C22×C4⋊C4C2314yes—
485C22×C4⋊C4C2311yescharacteristic
486C22×C4⋊C4C2312yes—
487C22×C4⋊C4C2311yescharacteristic
488C22×C4⋊C4C2312yes—
489C22×C42C2312yes—
490C22×C42C2312yes—
491C22×C42C2314yes—
492C22×C42C2311yescharacteristic
493C22×C42C2312yes—
494C22×C42C2311yescharacteristic
495#400C2314yes—
496#400C2314yes—
497#400C2314yes—
498#400C2314yes—
499#400C2314yes—
500#400C2314yes—
501#400C2312yes—
502#399C2314yes—
503#399C2314yes—
504#399C2312yes—
505#399C2314yes—
506#399C2314yes—
507#398C2314yes—
508#398C2314yes—
509#398C2314yes—
510#398C2314yes—
511#398C2312yes—
512#398C2314yes—
513#398C2314yes—
514#398C2314yes—
515#398C2314yes—
516#398C2314yes—
517#398C2314yes—
518#398C2312yes—
519#398C2312yes—
520#398C2312yes—
521#398C2312yes—
522#398C2312yes—
523#398C2314yes—
524#398C2314yes—
525#398C2314yes—
526#398C2314yes—
527#397C2314yes—
528#397C2314yes—
529#397C2314yes—
530#397C2314yes—
531#397C2314yes—
532#397C2314yes—
533#397C2314yes—
534#397C2314yes—
535#397C2314yes—
536#397C2314yes—
537#397C2314yes—
538#397C2314yes—
539#396C2314yes—
540#396C2314yes—
541#396C2314yes—
542#396C2312yes—
543#396C2312yes—
544#396C2314yes—
545#396C2314yes—
546#395C2312yes—
547#395C2314yes—
548#395C2314yes—
549#395C2312yes—
550#395C2312yes—
551#395C2312yes—
552#395C2312yes—
553#394C2314yes—
554#394C2314yes—
555#394C2314yes—
556#394C2314yes—
557#394C2314yes—
558#394C2314yes—
559#394C2314yes—
560#394C2314yes—
561#394C2314yes—
562#394C2314yes—
563#394C2314yes—
564#394C2314yes—
565#394C2314yes—
566#394C2314yes—
567#394C2314yes—
568#394C2314yes—
569#393C2314yes—
570#393C2312yes—
571#392C2314yes—
572#392C2314yes—
573#391C2311yescharacteristic
574#391C2311yescharacteristic
575#391C2312yes—
576#391C2312yes—
577#391C2312yes—
578#391C2311yescharacteristic
579#391C2312yes—
580#391C2312yes—
581#391C2312yes—
582#391C2312yes—
583#391C2312yes—
584#391C2314yes—
585#391C2311yescharacteristic
586#391C2312yes—
587#391C2312yes—
588#391C2312yes—
589#391C2314yes—
590#391C2314yes—
591#391C2312yes—
592#391C2312yes—
593#391C2312yes—
594#391C2311yescharacteristic
595#391C2312yes—
596#391C2312yes—
597#391C2311yescharacteristic
598#391C2311yescharacteristic
599#391C2311yescharacteristic
600#390C2312yes—
601#390C2312yes—
602#390C2312yes—
603#390C2312yes—
604#390C2311yescharacteristic
605#390C2312yes—
606#390C2312yes—
607#390C2311yescharacteristic
608#390C2312yes—
609#390C2312yes—
610#389C2314yes—
611#389C2312yes—
612#389C2312yes—
613#389C2314yes—
614#389C2314yes—
615#389C2314yes—
616#389C2312yes—
617#389C2314yes—
618#389C2312yes—
619#389C2312yes—
620#389C2312yes—
621#389C2311yescharacteristic
622#389C2311yescharacteristic
623#389C2312yes—
624#389C2314yes—
625#389C2314yes—
626#389C2311yescharacteristic
627#389C2314yes—
628#389C2312yes—
629#389C2314yes—
630#389C2311yescharacteristic
631#389C2312yes—
632#389C2314yes—
633#389C2314yes—
634#389C2312yes—
635#389C2312yes—
636#389C2314yes—
637#389C2314yes—
638#389C2314yes—
639#389C2314yes—
640#389C2311yescharacteristic
641#389C2312yes—
642#389C2312yes—
643#389C2312yes—
644#389C2314yes—
645#389C2311yescharacteristic
646#389C2312yes—
647#388C2314yes—
648#388C2314yes—
649#388C2312yes—
650#388C2314yes—
651#388C2314yes—
652#388C2314yes—
653#388C2314yes—
654#388C2314yes—
655#388C2314yes—
656#388C2314yes—
657#388C2314yes—
658#388C2314yes—
659#388C2312yes—
660#388C2312yes—
661#388C2314yes—
662#388C2312yes—
663#388C2314yes—
664#388C2314yes—
665#388C2312yes—
666#388C2312yes—
667#388C2312yes—
668#388C2312yes—
669#388C2312yes—
670#388C2312yes—
671#388C2314yes—
672#388C2314yes—
673#388C2312yes—
674#387C2314yes—
675#387C2314yes—
676#387C2314yes—
677#387C2314yes—
678#387C2314yes—
679#387C2314yes—
680#387C2314yes—
681#387C2314yes—
682#387C2314yes—
683#387C2314yes—
684#387C2314yes—
685#387C2312yes—
686#387C2314yes—
687#387C2314yes—
688#387C2314yes—
689#387C2314yes—
690#387C2314yes—
691#387C2312yes—
692#387C2312yes—
693#387C2312yes—
694#387C2312yes—
695#387C2312yes—
696#387C2312yes—
697#387C2312yes—
698#387C2314yes—
699#387C2314yes—
700#387C2312yes—
701#387C2312yes—
702#387C2312yes—
703#387C2314yes—
704#386C2314yes—
705#386C2314yes—
706#386C2314yes—
707#386C2314yes—
708#386C2314yes—
709#386C2312yes—
710#386C2312yes—
711#386C2314yes—
712#386C2314yes—
713#386C2314yes—
714#386C2314yes—
715#386C2312yes—
716#386C2312yes—
717#386C2314yes—
718#386C2312yes—
719#386C2314yes—
720#386C2314yes—
721#385C2312yes—
722#385C2314yes—
723#385C2312yes—
724#385C2314yes—
725#385C2314yes—
726#385C2312yes—
727#385C2314yes—
728#385C2314yes—
729#385C2314yes—
730#385C2314yes—
731#385C2314yes—
732#385C2314yes—
733#385C2314yes—
734#385C2314yes—
735#385C2314yes—
736#385C2314yes—
737#385C2314yes—
738#385C2314yes—
739#385C2314yes—
740#385C2312yes—
741#385C2312yes—
742#385C2314yes—
743#385C2312yes—
744#385C2314yes—
745#385C2314yes—
746#385C2314yes—
747#385C2314yes—
748#385C2312yes—
749#385C2312yes—
750#385C2312yes—
751#384C2311yescharacteristic
752#384C2311yescharacteristic
753#384C2312yes—
754#384C2312yes—
755#384C2312yes—
756#384C2312yes—
757#384C2312yes—
758#382C2312yes—
759#382C2312yes—
760#382C2314yes—
761#382C2312yes—
762#382C2311yescharacteristic
763#382C2312yes—
764#381C2314yes—
765#381C2314yes—
766#381C2314yes—
767#381C2314yes—
768#381C2314yes—
769#380C2311yescharacteristic
770#380C2312yes—
771#380C2312yes—
772#380C2312yes—
773#380C2314yes—
774#380C2314yes—
775#380C2311yescharacteristic
776#380C2314yes—
777#380C2314yes—
778#380C2311yescharacteristic
779#380C2312yes—
780#380C2311yescharacteristic
781#380C2312yes—
782#380C2314yes—
783#380C2312yes—
784#380C2312yes—
785#380C2314yes—
786#380C2312yes—
787#380C2312yes—
788#380C2314yes—
789#380C2312yes—
790#380C2314yes—
791C4×C4⋊C4C2312yes—
792C4×C4⋊C4C2312yes—
793C4×C4⋊C4C2314yes—
794C4×C4⋊C4C2314yes—
795C4×C4⋊C4C2312yes—
796C4×C4⋊C4C2312yes—
797C4×C4⋊C4C2311yescharacteristic
798C4×C4⋊C4C2312yes—
799C4×C4⋊C4C2312yes—
800C4×C4⋊C4C2314yes—
801C4×C4⋊C4C2314yes—
802C4×C4⋊C4C2311yescharacteristic
803C4×C4⋊C4C2311yescharacteristic
804C4×C4⋊C4C2312yes—
805C4×C4⋊C4C2311yescharacteristic
806C4×C4⋊C4C2312yes—
807C4×C4⋊C4C2311yescharacteristic
808C4×C4⋊C4C2311yescharacteristic
809C4×C4⋊C4C2312yes—
810C4×C4⋊C4C2312yes—
811C4×C4⋊C4C2311yescharacteristic
812C4×C4⋊C4C2312yes—
813C4×C4⋊C4C2312yes—
814C4×C4⋊C4C2314yes—
815C4×C4⋊C4C2312yes—
816C4×C4⋊C4C2312yes—
817C4×C22⋊C4C2314yes—
818C4×C22⋊C4C2314yes—
819C4×C22⋊C4C2312yes—
820C4×C22⋊C4C2312yes—
821C4×C22⋊C4C2312yes—
822C4×C22⋊C4C2312yes—
823C4×C22⋊C4C2314yes—
824C4×C22⋊C4C2311yescharacteristic
825C4×C22⋊C4C2312yes—
826C4×C22⋊C4C2312yes—
827C4×C22⋊C4C2312yes—
828C4×C22⋊C4C2311yescharacteristic
829C4×C22⋊C4C2314yes—
830C4×C22⋊C4C2312yes—
831C4×C22⋊C4C2311yescharacteristic
832C4×C22⋊C4C2314yes—
833C4×C22⋊C4C2314yes—
834C4×C22⋊C4C2312yes—
835C4×C22⋊C4C2311yescharacteristic
836C4×C22⋊C4C2314yes—
837C4×C22⋊C4C2311yescharacteristic
838C4×C22⋊C4C2311yescharacteristic
839C4×C22⋊C4C2312yes—
840#376C2312yes—
841C2×#95C2314yes—
842C2×#95C2314yes—
843C2×#95C2314yes—
844C2×#95C2314yes—
845C43C2311yescharacteristic
846C43C2312yes—
847C2×#41—24no—
848C2×#41—28no—
849C2×#41—28no—
850C2×#41—28no—
851C2×#41—28no—
852C2×#41—28no—
853C2×#41—28no—
854C2×#41—24no—
855C2×#41—44no—
856C2×#41—44no—
857C2×#41—42no—
858C2×#41—44no—
859C22×Q8—24no—
860C22×Q8—24no—
861C22×Q8—24no—
862C22×Q8—24no—
863C22×Q8—42no—
864C22×Q8—42no—
865C22×Q8C2411yescharacteristic
866C22×Q8C2411yescharacteristic
867C22×Q8C2412yes—
868C22×Q8C2412yes—
869C22×Q8C2412yes—
870C22×Q8C2412yes—
871C22×Q8C2411yescharacteristic
872C22×Q8C2411yescharacteristic
873C22×Q8C2411yescharacteristic
874C22×Q8C2412yes—
875C22×D4C2411yescharacteristic
876C22×D4C2414yes—
877C22×D4C2412yes—
878C22×D4C2414yes—
879C22×D4C2414yes—
880C22×D4C2412yes—
881C22×D4C2412yes—
882C22×D4C2412yes—
883C22×D4C2414yes—
884C22×D4C2412yes—
885C22×D4C2411yescharacteristic
886C23×C4C2411yescharacteristic
887C23×C4C2412yes—
888C23×C4C2411yescharacteristic
889C23×C4C2414yes—
890C23×C4C2414yes—
891C23×C4C2412yes—
892C23×C4C2412yes—
893C23×C4C2412yes—
894C23×C4C2414yes—
895C23×C4C2411yescharacteristic
896C23×C4C2411yescharacteristic
897C23×C4C2412yes—
898C23×C4C2411yescharacteristic
899C23×C4C2412yes—
900C23×C4C2411yescharacteristic
901C23×C4C2414yes—
902C23×C4C2414yes—
903C23×C4C2412yes—
904C23×C4C2414yes—
905C23×C4C2414yes—
906C4⋊Q8—28no—
907C4⋊Q8—24no—
908C4⋊Q8—28no—
909C4⋊Q8—24no—
910C4⋊Q8—24no—
911C4⋊Q8—24no—
912C4⋊Q8—24no—
913C4⋊Q8—28no—
914C4⋊Q8—28no—
915C4⋊Q8—44no—
916C4⋊Q8—44no—
917#127—28no—
918#127C2×D418yes—
919#126—216no—
920#126—216no—
921#126—216no—
922#126—216no—
923#126—216no—
924#126—216no—
925#126—216no—
926#125—216no—
927#125—28no—
928#125—28no—
929#125—216no—
930#125—216no—
931#125—28no—
932#125—28no—
933#124—28no—
934#124—28no—
935#124—28no—
936#124—28no—
937#124—216no—
938#124—28no—
939#124—28no—
940#124—24no—
941#124—44no—
942#124C2×D4116yes—
943#124C2×D4116yes—
944#123—216no—
945#123—216no—
946#123—216no—
947#123—216no—
948#123—216no—
949#123—216no—
950#123—216no—
951#123—48no—
952#123C2×D4132yes—
953C22⋊Q8—24no—
954C22⋊Q8—28no—
955C22⋊Q8—24no—
956C22⋊Q8—216no—
957C22⋊Q8—28no—
958C22⋊Q8—28no—
959C22⋊Q8—24no—
960C22⋊Q8—24no—
961C22⋊Q8—28no—
962C22⋊Q8—28no—
963C22⋊Q8—216no—
964C22⋊Q8—216no—
965C22⋊Q8—216no—
966C22⋊Q8—216no—
967C22⋊Q8—44no—
968C22⋊Q8—42no—
969C22⋊Q8—44no—
970#121—28no—
971#121—28no—
972#121—216no—
973#121—28no—
974#121—28no—
975#121—28no—
976#121—216no—
977#121—28no—
978#121—24no—
979#121—216no—
980#121—216no—
981C4×Q8—24no—
982C4×Q8—24no—
983C4×Q8—24no—
984C4×Q8—28no—
985C4×Q8—24no—
986C4×Q8—28no—
987C4×Q8—28no—
988C4×Q8—24no—
989C4×Q8—28no—
990C4×Q8—28no—
991C4×Q8—24no—
992C4×Q8—28no—
993C4×Q8—28no—
994C4×Q8—24no—
995C4×Q8—28no—
996C4×Q8—28no—
997C4×Q8—28no—
998C4×Q8—28no—
999C4×Q8—28no—
1000C4×Q8—24no—
1001C4×Q8—24no—
1002C4×Q8—44no—
1003C4×Q8—42no—
1004C4×Q8C2×D418yes—
1005C4×Q8C2×D418yes—
1006C4×D4—28no—
1007C4×D4—28no—
1008C4×D4—28no—
1009C4×D4—28no—
1010C4×D4—28no—
1011C4×D4—28no—
1012C4×D4—28no—
1013C4×D4—216no—
1014C4×D4—216no—
1015C4×D4—216no—
1016C4×D4—28no—
1017C4×D4—24no—
1018C4×D4—216no—
1019C4×D4—216no—
1020C4×D4—216no—
1021C4×D4—216no—
1022C4×D4—28no—
1023C4×D4—28no—
1024C4×D4—24no—
1025C4×D4—28no—
1026C4×D4—44no—
1027C4×D4—44no—
1028C4×D4—42no—
1029C4×D4—44no—
1030C4×D4—44no—
1031C4×D4—44no—
1032C4×D4—42no—
1033C4×D4—44no—
1034C4×D4C2×D4116yes—
1035C4×D4C2×D4116yes—
1036C4×D4#4118yescomplemented
1037#117—216no—
1038#117—24no—
1039#117—28no—
1040#117—28no—
1041#117—216no—
1042#117—216no—
1043#117—216no—
1044#117—216no—
1045#117—28no—
1046#117—48no—
1047C2×C4⋊C4—216no—
1048C2×C4⋊C4—24no—
1049C2×C4⋊C4—28no—
1050C2×C4⋊C4—28no—
1051C2×C4⋊C4—24no—
1052C2×C4⋊C4—216no—
1053C2×C4⋊C4C2412yes—
1054C2×C4⋊C4C2412yes—
1055C2×C4⋊C4C2412yes—
1056C2×C4⋊C4C2411yescharacteristic
1057C2×C4⋊C4C2414yes—
1058C2×C4⋊C4C2414yes—
1059C2×C4⋊C4C2411yescharacteristic
1060C2×C4⋊C4C2412yes—
1061C2×C4⋊C4C2412yes—
1062C2×C4⋊C4C2412yes—
1063C2×C4⋊C4C2412yes—
1064C2×C4⋊C4C2412yes—
1065C2×C4⋊C4C2412yes—
1066C2×C4⋊C4C2414yes—
1067C2×C4⋊C4C2414yes—
1068C2×C4⋊C4C2414yes—
1069C2×C4⋊C4C2412yes—
1070C2×C4⋊C4C2412yes—
1071C2×C4⋊C4C2412yes—
1072C2×C4⋊C4C2412yes—
1073C2×C4⋊C4C2411yescharacteristic
1074C2×C4⋊C4C2412yes—
1075C2×C4⋊C4C2414yes—
1076C2×C4⋊C4C2412yes—
1077C2×C4⋊C4C2414yes—
1078C2×C4⋊C4C2414yes—
1079C2×C4⋊C4C2414yes—
1080C2×C4⋊C4C2414yes—
1081C2×C4⋊C4C2411yescharacteristic
1082C2×C4⋊C4C2411yescharacteristic
1083C2×C4⋊C4C2411yescharacteristic
1084C2×C4⋊C4C2412yes—
1085C2×C4⋊C4C2412yes—
1086C2×C4⋊C4C2412yes—
1087C2×C4⋊C4C2412yes—
1088C2×C4⋊C4C2414yes—
1089C2×C4⋊C4C2412yes—
1090C2×C4⋊C4C2412yes—
1091C2×C4⋊C4C2411yescharacteristic
1092C2×C4⋊C4C2412yes—
1093C2×C4⋊C4C2412yes—
1094C2×C4⋊C4C2414yes—
1095C2×C4⋊C4C2414yes—
1096C2×C4⋊C4C2412yes—
1097C2×C4⋊C4C2412yes—
1098C2×C4⋊C4C2411yescharacteristic
1099C2×C4⋊C4C2412yes—
1100C2×C4⋊C4C2414yes—
1101C2×C4⋊C4C2412yes—
1102C2×C4⋊C4C2412yes—
1103C2×C4⋊C4C2414yes—
1104C2×C4⋊C4C2411yescharacteristic
1105C2×C4⋊C4C2411yescharacteristic
1106C2×C4⋊C4C2412yes—
1107C2×C4⋊C4C2412yes—
1108C2×C4⋊C4C2412yes—
1109C2×C4⋊C4C2412yes—
1110C2×C4⋊C4C2414yes—
1111C2×C4⋊C4C2412yes—
1112C2×C4⋊C4C2414yes—
1113C2×C4⋊C4C2412yes—
1114C2×C4⋊C4C2414yes—
1115C2×C4⋊C4C2414yes—
1116C2×C4⋊C4C2414yes—
1117C2×C4⋊C4C2414yes—
1118C2×C4⋊C4C2414yes—
1119C2×C4⋊C4C2412yes—
1120C2×C4⋊C4C2412yes—
1121C2×C4⋊C4C2412yes—
1122C2×C4⋊C4C2411yescharacteristic
1123C2×C4⋊C4C2411yescharacteristic
1124C2×C4⋊C4C2412yes—
1125C2×C4⋊C4C2412yes—
1126C2×C4⋊C4C2411yescharacteristic
1127C2×C22⋊C4C2414yes—
1128C2×C22⋊C4C2412yes—
1129C2×C22⋊C4C2414yes—
1130C2×C22⋊C4C2412yes—
1131C2×C22⋊C4C2414yes—
1132C2×C22⋊C4C2414yes—
1133C2×C22⋊C4C2412yes—
1134C2×C22⋊C4C2412yes—
1135C2×C22⋊C4C2412yes—
1136C2×C22⋊C4C2414yes—
1137C2×C22⋊C4C2414yes—
1138C2×C22⋊C4C2414yes—
1139C2×C22⋊C4C2411yescharacteristic
1140C2×C22⋊C4C2414yes—
1141C2×C22⋊C4C2414yes—
1142C2×C22⋊C4C2414yes—
1143C2×C22⋊C4C2414yes—
1144C2×C22⋊C4C2411yescharacteristic
1145C2×C22⋊C4C2414yes—
1146C2×C22⋊C4C2412yes—
1147C2×C22⋊C4C2412yes—
1148C2×C22⋊C4C2414yes—
1149C2×C22⋊C4C2414yes—
1150C2×C22⋊C4C2412yes—
1151C2×C22⋊C4C2412yes—
1152C2×C22⋊C4C2412yes—
1153C2×C22⋊C4C2412yes—
1154C2×C22⋊C4C2414yes—
1155C2×C22⋊C4C2411yescharacteristic
1156C2×C22⋊C4C2412yes—
1157C2×C22⋊C4C2411yescharacteristic
1158C2×C22⋊C4C2414yes—
1159C2×C22⋊C4C2412yes—
1160C2×C22⋊C4C2414yes—
1161C2×C22⋊C4C2414yes—
1162C2×C22⋊C4C2412yes—
1163C2×C22⋊C4C2412yes—
1164C2×C22⋊C4C2414yes—
1165C2×C22⋊C4C2414yes—
1166C2×C22⋊C4C2414yes—
1167C2×C22⋊C4C2414yes—
1168C2×C22⋊C4C2412yes—
1169C2×C22⋊C4C2412yes—
1170C2×C22⋊C4C2412yes—
1171C2×C22⋊C4C2412yes—
1172C2×C22⋊C4C2414yes—
1173C2×C22⋊C4C2414yes—
1174C2×C22⋊C4C2414yes—
1175C2×C22⋊C4C2411yescharacteristic
1176C2×C22⋊C4C2411yescharacteristic
1177C2×C42—216no—
1178C2×C42—24no—
1179C2×C42—28no—
1180C2×C42—28no—
1181C2×C42—24no—
1182C2×C42—28no—
1183C2×C42C2412yes—
1184C2×C42C2411yescharacteristic
1185C2×C42C2412yes—
1186C2×C42C2414yes—
1187C2×C42C2414yes—
1188C2×C42C2412yes—
1189C2×C42C2414yes—
1190C2×C42C2412yes—
1191C2×C42C2412yes—
1192C2×C42C2412yes—
1193C2×C42C2412yes—
1194C2×C42C2411yescharacteristic
1195C2×C42C2411yescharacteristic
1196C2×C42C2414yes—
1197C2×C42C2411yescharacteristic
1198C2×C42C2411yescharacteristic
1199C2×C42C2411yescharacteristic
1200C2×C42C2412yes—
1201C2×C42C2412yes—
1202C2×C42C2411yescharacteristic
1203C2×C42C2412yes—
1204C2×C42C2412yes—
1205C2×C42C2412yes—
1206C2×C42C2412yes—
1207C2×C42C2411yescharacteristic
1208C2×C42C2411yescharacteristic
1209C2×C42C2411yescharacteristic
1210C2×C42C2414yes—
1211C2×C42C2412yes—
1212C2×C42C2414yes—
1213C2×C42C2412yes—
1214C2×C42C2411yescharacteristic
1215C2×C42C2412yes—
1216C2×C42C2412yes—
1217C2×C42C2411yescharacteristic
1218C2×C42C2411yescharacteristic
1219#95C2412yes—
1220#95C2412yes—
1221#95C2412yes—
1222#95C2412yes—
1223#95C2412yes—
1224#95C2412yes—
1225#95C2412yes—
1226#95C2412yes—
1227#95C2414yes—
1228#95C2414yes—
1229#95C2414yes—
1230#95C2414yes—
1231#95C2414yes—
1232#95C2414yes—
1233#95C2414yes—
1234#95C2414yes—
1235#95C2412yes—
1236#95C2412yes—
1237#95C2412yes—
1238#95C2411yescharacteristic
1239#95C2411yescharacteristic
1240#95C2412yes—
1241#95C2411yescharacteristic
1242#95C2412yes—
1243#95C2411yescharacteristic
1244#95C2411yescharacteristic
1245#95C2411yescharacteristic
1246#95C2412yes—
1247#95C2412yes—
1248#95C2412yes—
1249#95C2412yes—
1250#95C2412yes—
1251#95C2414yes—
1252#95C2412yes—
1253#95C2412yes—
1254#95C2412yes—
1255#95C2412yes—
1256#95C2414yes—
1257#95C2414yes—
1258#95C2412yes—
1259#95C2412yes—
1260#95C2414yes—
1261#95C2412yes—
1262#95C2412yes—
1263#95C2412yes—
1264#95C2414yes—
1265#95C2414yes—
1266#95C2414yes—
1267#95C2414yes—
1268#95C2412yes—
1269#95C2412yes—
1270#95C2412yes—
1271#95C2414yes—
1272#95C2414yes—
1273#95C2412yes—
1274#95C2412yes—
1275#95C2414yes—
1276#95C2414yes—
1277#95C2414yes—
1278#95C2414yes—
1279#95C2414yes—
1280#95C2414yes—
1281C24C2512yes—
1282C24C2514yes—
1283C24C2511yescharacteristic
1284C24C2511yescharacteristic
1285#41—432no—
1286#41—432no—
1287#41—416no—
1288#41—432no—
1289C2×Q8—22no—
1290C2×Q8—22no—
1291C2×Q8—24no—
1292C2×Q8—24no—
1293C2×Q8—22no—
1294C2×Q8—24no—
1295C2×Q8—24no—
1296C2×Q8—24no—
1297C2×Q8—22no—
1298C2×Q8—24no—
1299C2×Q8—22no—
1300C2×Q8—24no—
1301C2×Q8—24no—
1302C2×Q8—22no—
1303C2×Q8—22no—
1304C2×Q8—24no—
1305C2×Q8—22no—
1306C2×Q8—22no—
1307C2×Q8—22no—
1308C2×Q8—22no—
1309C2×Q8—24no—
1310C2×Q8—22no—
1311C2×Q8—24no—
1312C2×Q8—42no—
1313C2×Q8—42no—
1314C2×Q8—42no—
1315C2×Q8—42no—
1316C2×Q8—416no—
1317C2×Q8—416no—
1318C2×Q8C22×D414yes—
1319C2×Q8C22×D414yes—
1320C2×Q82−1+414yes—
1321C2×D4—28no—
1322C2×D4—28no—
1323C2×D4—28no—
1324C2×D4—24no—
1325C2×D4—28no—
1326C2×D4—28no—
1327C2×D4—24no—
1328C2×D4—28no—
1329C2×D4—24no—
1330C2×D4—22no—
1331C2×D4—24no—
1332C2×D4—22no—
1333C2×D4—24no—
1334C2×D4—28no—
1335C2×D4—24no—
1336C2×D4—24no—
1337C2×D4—22no—
1338C2×D4—42no—
1339C2×D4—41no—
1340C2×D4—41no—
1341C2×D4—42no—
1342C2×D4—42no—
1343C2×D4—42no—
1344C2×D4—42no—
1345C2×D4—44no—
1346C2×D4—44no—
1347C2×D4—44no—
1348C2×D4—44no—
1349C2×D4—44no—
1350C2×D4C22×D418yes—
1351C2×D4C22×D418yes—
1352C2×D4C22×D418yes—
1353C2×D4C2×#4114yes—
1354C22×C4—22no—
1355C22×C4—22no—
1356C22×C4—22no—
1357C22×C4—22no—
1358C22×C4—28no—
1359C22×C4—28no—
1360C22×C4—28no—
1361C22×C4—24no—
1362C22×C4—28no—
1363C22×C4—22no—
1364C22×C4—24no—
1365C22×C4—22no—
1366C22×C4—24no—
1367C22×C4—24no—
1368C22×C4—24no—
1369C22×C4—28no—
1370C22×C4—28no—
1371C22×C4—24no—
1372C22×C4—22no—
1373C22×C4—24no—
1374C22×C4—22no—
1375C22×C4—28no—
1376C22×C4—24no—
1377C22×C4—22no—
1378C22×C4—22no—
1379C22×C4—24no—
1380C22×C4—24no—
1381C22×C4—22no—
1382C22×C4—24no—
1383C22×C4—22no—
1384C22×C4—24no—
1385C22×C4—28no—
1386C22×C4—44no—
1387C22×C4—44no—
1388C22×C4—42no—
1389C22×C4—42no—
1390C22×C4—42no—
1391C22×C4—44no—
1392C22×C4—44no—
1393C22×C4—44no—
1394C22×C4—42no—
1395C22×C4—42no—
1396C22×C4—41no—
1397C22×C4—41no—
1398C22×C4—44no—
1399C22×C4—44no—
1400C22×C4—42no—
1401C22×C4—44no—
1402C22×C4—42no—
1403C22×C4—42no—
1404C22×C4—41no—
1405C22×C4—41no—
1406C22×C4—42no—
1407C22×C4—44no—
1408C22×C4—44no—
1409C22×C4—44no—
1410C22×C4—44no—
1411C22×C4C22×D4116yes—
1412C22×C4C2×#4114yes—
1413C22×C4C2×#4114yes—
1414C22×C4C2512yes—
1415C22×C4C2512yes—
1416C22×C4C2512yes—
1417C22×C4C2512yes—
1418C22×C4C2511yescharacteristic
1419C22×C4C2512yes—
1420C22×C4C2514yes—
1421C22×C4C2511yescharacteristic
1422C22×C4C2511yescharacteristic
1423C22×C4C2512yes—
1424C22×C4C2511yescharacteristic
1425C22×C4C2512yes—
1426C22×C4C2512yes—
1427C22×C4C2511yescharacteristic
1428C22×C4C2512yes—
1429C22×C4C2512yes—
1430C22×C4C2514yes—
1431C22×C4C2514yes—
1432C22×C4C2512yes—
1433C22×C4C2512yes—
1434C22×C4C2512yes—
1435C22×C4C2511yescharacteristic
1436C22×C4C2512yes—
1437C22×C4C2511yescharacteristic
1438C22×C4C2511yescharacteristic
1439C22×C4C2511yescharacteristic
1440C22×C4C2511yescharacteristic
1441C22×C4C2512yes—
1442C22×C4C2511yescharacteristic
1443C22×C4C2511yescharacteristic
1444C22×C4C2511yescharacteristic
1445C4⋊C4—24no—
1446C4⋊C4—24no—
1447C4⋊C4—24no—
1448C4⋊C4—22no—
1449C4⋊C4—28no—
1450C4⋊C4—28no—
1451C4⋊C4—24no—
1452C4⋊C4—22no—
1453C4⋊C4—24no—
1454C4⋊C4—24no—
1455C4⋊C4—24no—
1456C4⋊C4—24no—
1457C4⋊C4—24no—
1458C4⋊C4—24no—
1459C4⋊C4—24no—
1460C4⋊C4—24no—
1461C4⋊C4—22no—
1462C4⋊C4—28no—
1463C4⋊C4—24no—
1464C4⋊C4—24no—
1465C4⋊C4—28no—
1466C4⋊C4—28no—
1467C4⋊C4—28no—
1468C4⋊C4—28no—
1469C4⋊C4—22no—
1470C4⋊C4—24no—
1471C4⋊C4—24no—
1472C4⋊C4—24no—
1473C4⋊C4—28no—
1474C4⋊C4—24no—
1475C4⋊C4—28no—
1476C4⋊C4—28no—
1477C4⋊C4—24no—
1478C4⋊C4—28no—
1479C4⋊C4—28no—
1480C4⋊C4—28no—
1481C4⋊C4—24no—
1482C4⋊C4—24no—
1483C4⋊C4—24no—
1484C4⋊C4—22no—
1485C4⋊C4—28no—
1486C4⋊C4—22no—
1487C4⋊C4—24no—
1488C4⋊C4—24no—
1489C4⋊C4—24no—
1490C4⋊C4—24no—
1491C4⋊C4—22no—
1492C4⋊C4—22no—
1493C4⋊C4—24no—
1494C4⋊C4—24no—
1495C4⋊C4—42no—
1496C4⋊C4—42no—
1497C4⋊C4—42no—
1498C4⋊C4—44no—
1499C4⋊C4—42no—
1500C4⋊C4—41no—
1501C4⋊C4—41no—
1502C4⋊C4—42no—
1503C4⋊C4—42no—
1504C4⋊C4—44no—
1505C4⋊C4—42no—
1506C4⋊C4—42no—
1507C4⋊C4—44no—
1508C4⋊C4—42no—
1509C4⋊C4—44no—
1510C4⋊C4—44no—
1511C4⋊C4—44no—
1512C4⋊C4—44no—
1513C4⋊C4—44no—
1514C4⋊C4C22×D414yes—
1515C4⋊C4C22×D414yes—
1516C4⋊C4C22×D418yes—
1517C4⋊C4C22×D418yes—
1518C4⋊C4C2×#4114yes—
1519C22⋊C4—28no—
1520C22⋊C4—28no—
1521C22⋊C4—28no—
1522C22⋊C4—28no—
1523C22⋊C4—28no—
1524C22⋊C4—28no—
1525C22⋊C4—28no—
1526C22⋊C4—28no—
1527C22⋊C4—28no—
1528C22⋊C4—28no—
1529C22⋊C4—24no—
1530C22⋊C4—24no—
1531C22⋊C4—24no—
1532C22⋊C4—28no—
1533C22⋊C4—24no—
1534C22⋊C4—24no—
1535C22⋊C4—24no—
1536C22⋊C4—28no—
1537C22⋊C4—28no—
1538C22⋊C4—24no—
1539C22⋊C4—24no—
1540C22⋊C4—24no—
1541C22⋊C4—24no—
1542C22⋊C4—28no—
1543C22⋊C4—22no—
1544C22⋊C4—22no—
1545C22⋊C4—24no—
1546C22⋊C4—42no—
1547C22⋊C4—42no—
1548C22⋊C4—42no—
1549C22⋊C4—42no—
1550C22⋊C4—44no—
1551C22⋊C4—42no—
1552C22⋊C4—42no—
1553C22⋊C4—44no—
1554C22⋊C4—41no—
1555C22⋊C4—41no—
1556C22⋊C4—44no—
1557C22⋊C4—44no—
1558C22⋊C4—42no—
1559C22⋊C4—44no—
1560C22⋊C4—42no—
1561C22⋊C4—44no—
1562C22⋊C4—44no—
1563C22⋊C4—44no—
1564C22⋊C4C22×D4116yes—
1565C22⋊C4C22×D4116yes—
1566C22⋊C4C22×D4116yes—
1567C22⋊C4C2×#4114yes—
1568C22⋊C4C2×#4114yes—
1569C42—24no—
1570C42—24no—
1571C42—22no—
1572C42—22no—
1573C42—24no—
1574C42—24no—
1575C42—28no—
1576C42—24no—
1577C42—24no—
1578C42—28no—
1579C42—22no—
1580C42—22no—
1581C42—22no—
1582C42—24no—
1583C42—24no—
1584C42—22no—
1585C42—28no—
1586C42—28no—
1587C42—24no—
1588C42—24no—
1589C42—22no—
1590C42—24no—
1591C42—22no—
1592C42—22no—
1593C42—24no—
1594C42—24no—
1595C42—22no—
1596C42—42no—
1597C42—41no—
1598C42—44no—
1599C42—42no—
1600C42—44no—
1601C42C22×D418yes—
1602C42C22×D414yes—
1603C42C22×D418yes—
1604C42C2×#4114yes—
1605C23—21no—
1606C23—21no—
1607C23—24no—
1608C23—21no—
1609C23—21no—
1610C23—24no—
1611C23—21no—
1612C23—24no—
1613C23—21no—
1614C23—21no—
1615C23—21no—
1616C23—24no—
1617C23—24no—
1618C23—21no—
1619C23—21no—
1620C23—21no—
1621C23—21no—
1622C23—24no—
1623C23—22no—
1624C23—22no—
1625C23—22no—
1626C23—22no—
1627C23—22no—
1628C23—22no—
1629C23—22no—
1630C23C23×D418yes—
1631C23C22×#4112yes—
1632C23C22×#4112yes—
1633C23C2611yescharacteristic
1634Q8—28no—
1635Q8—28no—
1636Q8—28no—
1637Q8—48no—
1638Q8—48no—
1639Q8—44no—
1640Q8—48no—
1641Q8—48no—
1642Q8—44no—
1643Q8—84no—
1644D4—216no—
1645D4—216no—
1646D4—48no—
1647D4—44no—
1648D4—416no—
1649D4—48no—
1650D4—416no—
1651D4—416no—
1652D4—48no—
1653D4—44no—
1654D4—88no—
1655C2×C4—21no—
1656C2×C4—22no—
1657C2×C4—21no—
1658C2×C4—22no—
1659C2×C4—21no—
1660C2×C4—21no—
1661C2×C4—22no—
1662C2×C4—21no—
1663C2×C4—22no—
1664C2×C4—21no—
1665C2×C4—21no—
1666C2×C4—21no—
1667C2×C4—22no—
1668C2×C4—22no—
1669C2×C4—22no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—22no—
1673C2×C4—21no—
1674C2×C4—22no—
1675C2×C4—21no—
1676C2×C4—22no—
1677C2×C4—28no—
1678C2×C4—28no—
1679C2×C4—21no—
1680C2×C4—21no—
1681C2×C4—22no—
1682C2×C4—22no—
1683C2×C4—22no—
1684C2×C4—21no—
1685C2×C4—24no—
1686C2×C4—21no—
1687C2×C4—22no—
1688C2×C4—22no—
1689C2×C4—24no—
1690C2×C4—22no—
1691C2×C4—22no—
1692C2×C4—24no—
1693C2×C4—22no—
1694C2×C4—24no—
1695C2×C4—24no—
1696C2×C4—22no—
1697C2×C4—21no—
1698C2×C4—22no—
1699C2×C4—22no—
1700C2×C4—21no—
1701C2×C4—22no—
1702C2×C4—21no—
1703C2×C4—22no—
1704C2×C4—22no—
1705C2×C4—22no—
1706C2×C4—22no—
1707C2×C4—21no—
1708C2×C4—22no—
1709C2×C4—24no—
1710C2×C4—24no—
1711C2×C4—22no—
1712C2×C4—21no—
1713C2×C4—22no—
1714C2×C4—21no—
1715C2×C4—22no—
1716C2×C4—22no—
1717C2×C4—21no—
1718C2×C4—22no—
1719C2×C4—24no—
1720C2×C4—22no—
1721C2×C4—21no—
1722C2×C4—22no—
1723C2×C4—24no—
1724C2×C4—22no—
1725C2×C4—21no—
1726C2×C4—22no—
1727C2×C4—22no—
1728C2×C4—21no—
1729C2×C4—22no—
1730C2×C4—22no—
1731C2×C4—21no—
1732C2×C4—22no—
1733C2×C4—416no—
1734C2×C4—48no—
1735C2×C4—48no—
1736C2×C4—48no—
1737C2×C4—416no—
1738C2×C4—416no—
1739C2×C4—416no—
1740C2×C4—44no—
1741C2×C4—44no—
1742C2×C4—48no—
1743C2×C4—84no—
1744C2×C4—84no—
1745C2×C4—84no—
1746C2×C4—82no—
1747C2×C4—82no—
1748C2×C4—88no—
1749C2×C4—88no—
1750C2×C4—164no—
1751C2×C4C23×D414yes—
1752C2×C4C23×D414yes—
1753C2×C4C23×D414yes—
1754C2×C4C23×D412yes—
1755C2×C4C23×D414yes—
1756C2×C4C23×D412yes—
1757C2×C4C23×D412yes—
1758C2×C4C22×#4112yes—
1759C2×C4C22×#4112yes—
1760C2×C4C22×#4112yes—
1761C2×C4C22×#4112yes—
1762C2×C4C22×#4112yes—
1763C2×C4C2×2−1+414yes—
1764C2×C4C2×2−1+412yes—
1765C2×C4#58512yes—
1766C2×C4#58512yes—
1767C2×C4#58512yes—
1768C22—28no—
1769C22—22no—
1770C22—22no—
1771C22—28no—
1772C22—22no—
1773C22—22no—
1774C22—22no—
1775C22—22no—
1776C22—28no—
1777C22—41no—
1778C22—41no—
1779C22—44no—
1780C22—41no—
1781C22—41no—
1782C22—44no—
1783C22—41no—
1784C22—41no—
1785C22—44no—
1786C22—44no—
1787C22—41no—
1788C22—41no—
1789C22—42no—
1790C22—42no—
1791C22—42no—
1792C22—42no—
1793C22—42no—
1794C22—42no—
1795C22—42no—
1796C22C24×D411yescharacteristic
1797C22C23×#4111yescharacteristic
1798C22C22×2−1+411yescharacteristic
1799C22C2×#58511yescharacteristic
1800C22C2×#58511yescharacteristic
1801C22C2×#58511yescharacteristic
1802C222−1+611yescharacteristic
1803C4—24no—
1804C4—24no—
1805C4—22no—
1806C4—22no—
1807C4—22no—
1808C4—24no—
1809C4—24no—
1810C4—22no—
1811C4—22no—
1812C4—22no—
1813C4—24no—
1814C4—41no—
1815C4—42no—
1816C4—42no—
1817C4—42no—
1818C4—41no—
1819C4—42no—
1820C4—41no—
1821C4—42no—
1822C4—41no—
1823C4—42no—
1824C4—44no—
1825C4—42no—
1826C4—44no—
1827C4—44no—
1828C4—42no—
1829C4—41no—
1830C4—42no—
1831C4—42no—
1832C4D4×#4114yes—
1833C4#348914yes—
1834C2—48no—
1835C2—42no—
1836C2—42no—
1837C2—82no—
1838C2C2×D4×#4111yescharacteristic
1839C2C2×#348911yescharacteristic
1840C2#6281511yescharacteristic
1841C2#6296811yescharacteristic
1842C2#6298811yescharacteristic
1843C2#6300111yescharacteristic
1844C2#6303311yescharacteristic
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×#3507C2semidirect
2. C2×#3480C2semidirect
3. #59415C2semidirect
4. #59411C2semidirect
5. #59146C2semidirect
6. #59109C2semidirect
7. #59073C2semidirect
8. #59064C2semidirect
9. #59037C2semidirect
10. #59033C2semidirect
11. #45429C2semidirect
12. #45144C2semidirect
13. #43534C2semidirect
14. #43036C2semidirect
15. #39952C2semidirect
16. #39856C2semidirect
17. #39744C2semidirect
18. #39727C2semidirect
19. #37732C2semidirect
20. #37680C2semidirect
21. #36577C2semidirect
22. #36560C2semidirect
23. #36545C2semidirect
24. #36505C2semidirect
25. #36405C2semidirect
26. #36219C2semidirect
27. #36135C2semidirect
28. #36127C2semidirect
29. #35959C2semidirect
30. #35778C2semidirect
31. #34724C2semidirect
32. #34691C2semidirect
33. #34331C2semidirect
34. #34289C2semidirect
35. C4×#548C2semidirect
309. #559D4semidirect
1036. C4×D4#41semidirect

Maximal subgroups

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

subgroupindex
C2×#35072
C2×#34802
#594152
#594112
#591462
#591092
#590732
#590642
#590372
#590332
#454292
#451442
#435342
#430362
#399522
#398562
#397442
#397272
#377322
#376802
#365772
#365602
#365452
#365052
#364052
#362192
#361352
#361272
#359592
#357782
#347242
#346912
#343312
#342892
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