Finite Group Databasebeta

← #7692208

Subgroups — #7692208

Order 512.

7241 conjugacy classes of subgroups.

The subgroup lattice has 1893 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3522C211yesmaximal, characteristic, complemented
2C2×#3480C211yesmaximal, characteristic, complemented
3#59419C211yesmaximal, characteristic, complemented
4#59417C212yesmaximal, complemented
5#59128C212yesmaximal, complemented
6#59092C214yesmaximal, complemented
7#59072C212yesmaximal, complemented
8#59066C211yesmaximal, characteristic, complemented
9#59043C212yesmaximal, complemented
10#59039C211yesmaximal, characteristic, complemented
11#45307C212yesmaximal, complemented
12#45227C212yesmaximal, complemented
13#43919C214yesmaximal, complemented
14#43108C214yesmaximal, complemented
15#39952C212yesmaximal, complemented
16#39852C212yesmaximal, complemented
17#39172C211yesmaximal, characteristic, complemented
18#39136C211yesmaximal, characteristic, complemented
19#37735C214yesmaximal, complemented
20#37699C212yesmaximal, complemented
21#36562C211yesmaximal, characteristic, complemented
22#36545C211yesmaximal, characteristic, complemented
23Q8×C22⋊Q8C211yesmaximal, characteristic, complemented
24#36492C211yesmaximal, characteristic, complemented
25#36404C212yesmaximal, complemented
26#36219C212yesmaximal, complemented
27#36149C211yesmaximal, characteristic, complemented
28#36114C212yesmaximal, complemented
29#35912C212yesmaximal, complemented
30#35778C212yesmaximal, complemented
31#34715C212yesmaximal, complemented
32#34708C211yesmaximal, characteristic, complemented
33#34331C211yesmaximal, characteristic, complemented
34#34289C212yesmaximal, complemented
35C4×#548C211yesmaximal, characteristic, complemented
36#3522—216no—
37#3480—216no—
38C2×#559C2212yes—
39C2×#559C2212yes—
40C2×#559C2211yescharacteristic
41C2×Q82C2211yescharacteristic
42C2×#557C2211yescharacteristic
43C2×#556C2211yescharacteristic
44C2×#556C2212yes—
45C2×#554C2212yes—
46C2×#554C2211yescharacteristic
47C2×#553C2212yes—
48C2×#553C2214yes—
49C2×#550C2211yescharacteristic
50C2×#550C2211yescharacteristic
51C2×#548C2212yes—
52C2×#548C2212yes—
53C2×#548C2211yescharacteristic
54C2×#547C2212yes—
55C2×#547C2214yes—
56C2×#547C2212yes—
57C2×#542C2212yes—
58C2×#542C2214yes—
59C2×#532C2211yescharacteristic
60C2×#532C2211yescharacteristic
61C2×#532C2212yes—
62C2×#532C2212yes—
63C2×#529C2212yes—
64C2×#529C2212yes—
65C2×#529C2211yescharacteristic
66C2×#529C2214yes—
67C2×#520C2212yes—
68C2×C4×#41C2212yes—
69C2×C4×#41C2211yescharacteristic
70C2×C4×#41C2212yes—
71C22×C4×Q8C2211yescharacteristic
72C22×C4×Q8C2211yescharacteristic
73#2862C2211yescharacteristic
74#2859C2212yes—
75#2857C2212yes—
76#2857C2211yescharacteristic
77#2857C2211yescharacteristic
78#2855C2214yes—
79#2851C2212yes—
80#2851C2212yes—
81#2727C2214yes—
82#2718C2214yes—
83#2716C2214yes—
84#2716C2214yes—
85#2715C2214yes—
86#2715C2214yes—
87#2705C2214yes—
88#2703C2214yes—
89#2700C2214yes—
90#2699C2214yes—
91#2698C2214yes—
92#2691C2214yes—
93#2691C2214yes—
94#2689C2214yes—
95#2689C2214yes—
96#2686C2214yes—
97#2681C2214yes—
98#2676C2214yes—
99#2675C2214yes—
100#2672C2214yes—
101#2671C2214yes—
102#2663C2214yes—
103#2640C2212yes—
104#2630C2214yes—
105#2620C2212yes—
106#2584C2212yes—
107#2582C2211yescharacteristic
108#2582C2212yes—
109#2581C2212yes—
110#2579C2214yes—
111#2568C2212yes—
112#2567C2212yes—
113#2567C2211yescharacteristic
114#2566C2212yes—
115#2565C2212yes—
116#2564C2214yes—
117#2563C2211yescharacteristic
118#2562C2212yes—
119#2557C2214yes—
120#2557C2214yes—
121#2556C2214yes—
122#2556C2214yes—
123#2555C2214yes—
124#2546C2211yescharacteristic
125#2545C2212yes—
126#2543C2214yes—
127#2542C2211yescharacteristic
128#2540C2212yes—
129#2538C2212yes—
130#2538C2212yes—
131#2537C2212yes—
132#2537C2211yescharacteristic
133#2535C2212yes—
134#2535C2212yes—
135#2496C2214yes—
136#2488C2214yes—
137#2481C2212yes—
138#2477C2214yes—
139#2476C2214yes—
140#2474C2214yes—
141#2474C2214yes—
142#2473C2214yes—
143#2470C2214yes—
144#2470C2214yes—
145#2470C2214yes—
146#2469C2212yes—
147#2466C2214yes—
148#2466C2214yes—
149#2464C2214yes—
150#2463C2214yes—
151#2462C2214yes—
152#2461C2214yes—
153#2459C2214yes—
154#2459C2214yes—
155#2458C2212yes—
156#2457C2214yes—
157#2457C2214yes—
158#2456C2214yes—
159#2455C2214yes—
160#2453C2211yescharacteristic
161#2451C2214yes—
162#2451C2212yes—
163#2450C2214yes—
164#2450C2214yes—
165#2449C2214yes—
166#2448C2211yescharacteristic
167#2447C2212yes—
168#2447C2212yes—
169#2446C2212yes—
170#2445C2212yes—
171#2445C2212yes—
172#2443C2212yes—
173#2443C2214yes—
174#2442C2211yescharacteristic
175#2441C2212yes—
176#2440C2212yes—
177#2440C2214yes—
178#2439C2212yes—
179#2439C2212yes—
180#2438C2214yes—
181#2438C2214yes—
182#2436C2211yescharacteristic
183#2434C2212yes—
184#2432C2212yes—
185#2431C2212yes—
186#2431C2212yes—
187#2430C2214yes—
188#2430C2214yes—
189#2429C2212yes—
190#2429C2212yes—
191#2428C2212yes—
192#2428C2212yes—
193#2428C2212yes—
194#2428C2212yes—
195#2427C2212yes—
196#2427C2212yes—
197#2427C2212yes—
198#2426C2212yes—
199#2426C2211yescharacteristic
200#2425C2214yes—
201#2422C2212yes—
202#2422C2212yes—
203#2422C2214yes—
204#2422C2214yes—
205#2421C2212yes—
206#2421C2212yes—
207#2421C2211yescharacteristic
208#2421C2212yes—
209#2420C2212yes—
210#2420C2212yes—
211#2420C2212yes—
212#2420C2212yes—
213#2420C2212yes—
214#2416C2211yescharacteristic
215#2415C2214yes—
216#2414C2212yes—
217#2413C2214yes—
218#2409C2211yescharacteristic
219#2407C2212yes—
220#2407C2212yes—
221#2407C2214yes—
222#2407C2212yes—
223#2407C2212yes—
224#2407C2212yes—
225#2398C2212yes—
226#2396C2212yes—
227#2392C2214yes—
228#2388C2214yes—
229#2367C2212yes—
230#2367C2212yes—
231#2367C2212yes—
232#2367C2211yescharacteristic
233#2366C2211yescharacteristic
234#2365C2212yes—
235#2364C2214yes—
236#2362C2212yes—
237#2362C2211yescharacteristic
238#2361C2214yes—
239#2361C2211yescharacteristic
240#2361C2212yes—
241#2361C2212yes—
242#2360C2212yes—
243#2360C2212yes—
244#2360C2212yes—
245#2359C2214yes—
246#2359C2214yes—
247#2359C2214yes—
248#2355C2211yescharacteristic
249#2354C2212yes—
250#2352C2211yescharacteristic
251#2352C2212yes—
252#2352C2212yes—
253#2351C2211yescharacteristic
254Q8×C4⋊C4C2212yes—
255Q8×C4⋊C4C2211yescharacteristic
256#2349C2212yes—
257#2349C2212yes—
258#2349C2212yes—
259D4×C4⋊C4C2212yes—
260#2344C2214yes—
261#2341C2211yescharacteristic
262Q8×C22⋊C4C2212yes—
263Q8×C22⋊C4C2211yescharacteristic
264#2339C2212yes—
265#2339C2212yes—
266#2339C2212yes—
267#2339C2212yes—
268#2339C2212yes—
269#2335C2214yes—
270#2327C2212yes—
271#2326C2212yes—
272#2325C2214yes—
273#2323C2212yes—
274#2322C2214yes—
275C4×#127C2211yescharacteristic
276C4×#124C2211yescharacteristic
277C4×#124C2212yes—
278C4×#124C2212yes—
279C4×#124C2212yes—
280C4×#124C2211yescharacteristic
281C4×C22⋊Q8C2212yes—
282C4×C22⋊Q8C2211yescharacteristic
283C4×C22⋊Q8C2211yescharacteristic
284C4×C22⋊Q8C2212yes—
285C4×C22⋊Q8C2212yes—
286C4×#123C2214yes—
287C4×#121C2212yes—
288C4×#121C2211yescharacteristic
289C4×#121C2212yes—
290C4×#121C2211yescharacteristic
291C4×#121C2212yes—
292#2297C2214yes—
293#2295C2211yescharacteristic
294#2293C2212yes—
295#2290C2212yes—
296C2×#387C2214yes—
297#2275C2212yes—
298C42×Q8C2211yescharacteristic
299C42×D4C2212yes—
300C42×D4C2211yescharacteristic
301C22×#41C2312yes—
302C22×#41C2312yes—
303C22×#41C2312yes—
304C22×#41C2311yescharacteristic
305C22×#41C2312yes—
306C22×#41C2314yes—
307C23×Q8C2311yescharacteristic
308C23×Q8C2311yescharacteristic
309#559—216no—
310#559—216no—
311#559D4116yescomplemented
312Q82—28no—
313#557—28no—
314#556—216no—
315#556—28no—
316#554—28no—
317#554—216no—
318#553—232no—
319#553—216no—
320#550—28no—
321#550—28no—
322#548—216no—
323#548—216no—
324#548—28no—
325#547—232no—
326#547—216no—
327#547—216no—
328#542—216no—
329#542—232no—
330#532—28no—
331#532—28no—
332#532—216no—
333#532—216no—
334C2×C4⋊Q8C2311yescharacteristic
335C2×C4⋊Q8C2312yes—
336C2×C4⋊Q8C2312yes—
337C2×C4⋊Q8C2311yescharacteristic
338C2×C4⋊Q8C2312yes—
339C2×C4⋊Q8C2312yes—
340C2×C4⋊Q8C2314yes—
341C2×#127C2312yes—
342C2×#127C2312yes—
343C2×#127C2311yescharacteristic
344#529—216no—
345#529—216no—
346#529—232no—
347#529—28no—
348C2×#126C2314yes—
349C2×#126C2312yes—
350C2×#126C2314yes—
351C2×#126C2314yes—
352C2×#126C2314yes—
353C2×#125C2312yes—
354C2×#125C2312yes—
355C2×#125C2311yescharacteristic
356C2×#125C2314yes—
357C2×#124C2312yes—
358C2×#124C2312yes—
359C2×#124C2311yescharacteristic
360C2×#124C2311yescharacteristic
361C2×#124C2314yes—
362C2×#124C2314yes—
363C2×#124C2312yes—
364C2×#124C2312yes—
365C2×#124C2311yescharacteristic
366C2×#124C2314yes—
367C2×#124C2312yes—
368C2×#124C2312yes—
369C2×#123C2314yes—
370C2×#123C2314yes—
371C2×#123C2314yes—
372C2×#123C2314yes—
373C2×#123C2314yes—
374C2×#123C2312yes—
375C2×#123C2314yes—
376C2×#123C2314yes—
377C2×#123C2314yes—
378C2×#123C2314yes—
379C2×C22⋊Q8C2314yes—
380C2×C22⋊Q8C2312yes—
381C2×C22⋊Q8C2312yes—
382C2×C22⋊Q8C2311yescharacteristic
383C2×C22⋊Q8C2312yes—
384C2×C22⋊Q8C2311yescharacteristic
385C2×C22⋊Q8C2312yes—
386C2×C22⋊Q8C2314yes—
387C2×C22⋊Q8C2314yes—
388C2×C22⋊Q8C2314yes—
389C2×C22⋊Q8C2314yes—
390C2×C22⋊Q8C2312yes—
391C2×C22⋊Q8C2312yes—
392C2×C22⋊Q8C2314yes—
393C2×C22⋊Q8C2312yes—
394C2×C22⋊Q8C2311yescharacteristic
395C2×#121C2314yes—
396C2×#121C2312yes—
397C2×#121C2311yescharacteristic
398C2×#121C2312yes—
399C2×#121C2312yes—
400C2×#121C2312yes—
401C2×#121C2312yes—
402C2×#121C2311yescharacteristic
403C2×#121C2314yes—
404C2×#121C2312yes—
405C2×#121C2314yes—
406C2×#121C2314yes—
407C2×#121C2314yes—
408C2×#121C2312yes—
409C2×#121C2314yes—
410C2×#121C2312yes—
411C2×#121C2314yes—
412C2×#121C2312yes—
413C2×#121C2312yes—
414C2×#121C2311yescharacteristic
415C2×#121C2314yes—
416#520—216no—
417C4×#41—28no—
418C4×#41—216no—
419C4×#41—216no—
420C2×C4×Q8—28no—
421C2×C4×Q8—28no—
422C2×C4×Q8C2312yes—
423C2×C4×Q8C2312yes—
424C2×C4×Q8C2311yescharacteristic
425C2×C4×Q8C2312yes—
426C2×C4×Q8C2312yes—
427C2×C4×Q8C2312yes—
428C2×C4×Q8C2311yescharacteristic
429C2×C4×Q8C2312yes—
430C2×C4×Q8C2311yescharacteristic
431C2×C4×Q8C2311yescharacteristic
432C2×C4×Q8C2311yescharacteristic
433C2×C4×Q8C2311yescharacteristic
434C2×C4×Q8C2312yes—
435C2×C4×Q8C2311yescharacteristic
436C2×C4×Q8C2312yes—
437C2×C4×Q8C2311yescharacteristic
438C2×C4×Q8C2312yes—
439C2×C4×Q8C2311yescharacteristic
440C2×C4×Q8C2312yes—
441C2×C4×Q8C2311yescharacteristic
442C2×C4×Q8C2311yescharacteristic
443C2×C4×D4C2312yes—
444C2×C4×D4C2311yescharacteristic
445C2×C4×D4C2314yes—
446C2×C4×D4C2312yes—
447C2×C4×D4C2314yes—
448C2×C4×D4C2314yes—
449C2×C4×D4C2312yes—
450C2×C4×D4C2312yes—
451C2×C4×D4C2312yes—
452C2×C4×D4C2312yes—
453C2×C4×D4C2312yes—
454C2×C4×D4C2312yes—
455C2×C4×D4C2312yes—
456C2×C4×D4C2312yes—
457C2×C4×D4C2312yes—
458C2×C4×D4C2311yescharacteristic
459C2×C4×D4C2314yes—
460C2×C4×D4C2314yes—
461C2×C4×D4C2311yescharacteristic
462C2×C4×D4C2312yes—
463C2×C4×D4C2314yes—
464C2×C4×D4C2314yes—
465C2×C4×D4C2312yes—
466C2×C4×D4C2314yes—
467C2×C4×D4C2311yescharacteristic
468C2×C4×D4C2312yes—
469C2×C4×D4C2312yes—
470C2×C4×D4C2312yes—
471C2×C4×D4C2312yes—
472C2×C4×D4C2311yescharacteristic
473C2×C4×D4C2312yes—
474C2×C4×D4C2311yescharacteristic
475C2×C4×D4C2312yes—
476C2×C4×D4C2314yes—
477C2×C4×D4C2312yes—
478C2×C4×D4C2312yes—
479C2×#117C2312yes—
480C2×#117C2314yes—
481C2×#117C2314yes—
482C2×#117C2311yescharacteristic
483C2×#117C2312yes—
484C2×#117C2312yes—
485C2×#117C2314yes—
486C2×#117C2314yes—
487C22×C4⋊C4C2314yes—
488C22×C4⋊C4C2314yes—
489C22×C4⋊C4C2311yescharacteristic
490C22×C4⋊C4C2312yes—
491C22×C4⋊C4C2312yes—
492C22×C4⋊C4C2311yescharacteristic
493C22×C4⋊C4C2312yes—
494C22×C42C2312yes—
495C22×C42C2312yes—
496C22×C42C2314yes—
497C22×C42C2311yescharacteristic
498C22×C42C2312yes—
499C22×C42C2311yescharacteristic
500#400C2314yes—
501#400C2312yes—
502#400C2314yes—
503#400C2314yes—
504#400C2314yes—
505#400C2312yes—
506#400C2312yes—
507#399C2314yes—
508#399C2312yes—
509#399C2314yes—
510#398C2314yes—
511#398C2314yes—
512#398C2312yes—
513#398C2314yes—
514#398C2314yes—
515#398C2314yes—
516#398C2314yes—
517#398C2312yes—
518#398C2314yes—
519#397C2314yes—
520#397C2314yes—
521#397C2314yes—
522#397C2314yes—
523#397C2312yes—
524#397C2312yes—
525#397C2314yes—
526#397C2314yes—
527#397C2314yes—
528#397C2314yes—
529#397C2314yes—
530#396C2314yes—
531#396C2314yes—
532#396C2314yes—
533#396C2314yes—
534#396C2314yes—
535#396C2312yes—
536#396C2312yes—
537#396C2314yes—
538#396C2314yes—
539#396C2314yes—
540#395C2314yes—
541#395C2314yes—
542#395C2314yes—
543#395C2314yes—
544#395C2314yes—
545#395C2312yes—
546#394C2314yes—
547#394C2314yes—
548#394C2314yes—
549#394C2314yes—
550#394C2314yes—
551#394C2312yes—
552#394C2314yes—
553#394C2314yes—
554#394C2314yes—
555#394C2314yes—
556#394C2312yes—
557#394C2314yes—
558#394C2314yes—
559#394C2314yes—
560#394C2314yes—
561#394C2314yes—
562#394C2314yes—
563#394C2314yes—
564#393C2314yes—
565#393C2314yes—
566#393C2314yes—
567#393C2312yes—
568#393C2312yes—
569#393C2312yes—
570#392C2314yes—
571#392C2314yes—
572#392C2314yes—
573#392C2314yes—
574#392C2314yes—
575#392C2314yes—
576#392C2314yes—
577#392C2314yes—
578#391C2311yescharacteristic
579#391C2312yes—
580#391C2314yes—
581#391C2314yes—
582#391C2312yes—
583#391C2312yes—
584#391C2314yes—
585#391C2312yes—
586#391C2311yescharacteristic
587#391C2312yes—
588#391C2312yes—
589#391C2312yes—
590#391C2311yescharacteristic
591#391C2314yes—
592#391C2311yescharacteristic
593#391C2312yes—
594#391C2312yes—
595#391C2312yes—
596#391C2312yes—
597#391C2312yes—
598#391C2314yes—
599#391C2312yes—
600#391C2311yescharacteristic
601#391C2311yescharacteristic
602#390C2312yes—
603#390C2312yes—
604#390C2312yes—
605#390C2312yes—
606#390C2311yescharacteristic
607#390C2312yes—
608#390C2312yes—
609#390C2311yescharacteristic
610#390C2312yes—
611#390C2311yescharacteristic
612#390C2312yes—
613#390C2314yes—
614#390C2312yes—
615#390C2314yes—
616#390C2314yes—
617#390C2311yescharacteristic
618#390C2312yes—
619#389C2312yes—
620#389C2311yescharacteristic
621#389C2312yes—
622#389C2312yes—
623#389C2312yes—
624#389C2314yes—
625#389C2314yes—
626#389C2311yescharacteristic
627#389C2314yes—
628#389C2312yes—
629#389C2312yes—
630#389C2312yes—
631#389C2314yes—
632#389C2311yescharacteristic
633#389C2314yes—
634#389C2312yes—
635#389C2314yes—
636#389C2311yescharacteristic
637#389C2312yes—
638#389C2312yes—
639#389C2314yes—
640#389C2314yes—
641#389C2312yes—
642#389C2314yes—
643#389C2314yes—
644#389C2314yes—
645#389C2311yescharacteristic
646#389C2312yes—
647#389C2312yes—
648#389C2312yes—
649#389C2311yescharacteristic
650#388C2314yes—
651#388C2314yes—
652#388C2312yes—
653#388C2314yes—
654#388C2314yes—
655#388C2312yes—
656#388C2314yes—
657#388C2314yes—
658#388C2314yes—
659#388C2314yes—
660#388C2312yes—
661#388C2312yes—
662#388C2312yes—
663#388C2314yes—
664#388C2312yes—
665#388C2314yes—
666#388C2312yes—
667#388C2312yes—
668#388C2312yes—
669#388C2314yes—
670#388C2312yes—
671#388C2312yes—
672#388C2314yes—
673#388C2314yes—
674#388C2312yes—
675#388C2314yes—
676#388C2314yes—
677#388C2312yes—
678#388C2312yes—
679#388C2312yes—
680#388C2312yes—
681#387C2314yes—
682#387C2314yes—
683#387C2314yes—
684#387C2314yes—
685#387C2314yes—
686#387C2314yes—
687#387C2314yes—
688#387C2314yes—
689#387C2314yes—
690#387C2314yes—
691#387C2312yes—
692#387C2314yes—
693#387C2314yes—
694#387C2314yes—
695#387C2314yes—
696#387C2312yes—
697#387C2312yes—
698#387C2312yes—
699#387C2312yes—
700#387C2312yes—
701#387C2312yes—
702#387C2314yes—
703#387C2314yes—
704#387C2312yes—
705#386C2314yes—
706#386C2314yes—
707#386C2314yes—
708#386C2314yes—
709#386C2314yes—
710#386C2312yes—
711#386C2314yes—
712#386C2314yes—
713#386C2314yes—
714#386C2314yes—
715#386C2314yes—
716#386C2314yes—
717#386C2314yes—
718#386C2312yes—
719#386C2312yes—
720#386C2312yes—
721#386C2314yes—
722#386C2314yes—
723#386C2312yes—
724#386C2314yes—
725#386C2314yes—
726#386C2314yes—
727#386C2312yes—
728#386C2312yes—
729#386C2314yes—
730#386C2314yes—
731#386C2312yes—
732#385C2312yes—
733#385C2314yes—
734#385C2314yes—
735#385C2314yes—
736#385C2312yes—
737#385C2314yes—
738#385C2314yes—
739#385C2312yes—
740#385C2314yes—
741#385C2314yes—
742#385C2314yes—
743#385C2314yes—
744#385C2314yes—
745#385C2314yes—
746#385C2314yes—
747#385C2314yes—
748#385C2314yes—
749#385C2314yes—
750#385C2314yes—
751#385C2312yes—
752#385C2312yes—
753#385C2314yes—
754#385C2312yes—
755#385C2314yes—
756#384C2311yescharacteristic
757#384C2312yes—
758#384C2312yes—
759#384C2314yes—
760#384C2312yes—
761#382C2312yes—
762#382C2312yes—
763#382C2311yescharacteristic
764#382C2312yes—
765#382C2311yescharacteristic
766#382C2312yes—
767#382C2312yes—
768#381C2314yes—
769#381C2314yes—
770#381C2314yes—
771#381C2314yes—
772#381C2314yes—
773#380C2311yescharacteristic
774#380C2312yes—
775#380C2312yes—
776#380C2312yes—
777#380C2312yes—
778#380C2314yes—
779#380C2314yes—
780#380C2312yes—
781#380C2314yes—
782#380C2314yes—
783#380C2312yes—
784#380C2312yes—
785#380C2311yescharacteristic
786#380C2312yes—
787#380C2314yes—
788#380C2311yescharacteristic
789#380C2312yes—
790#380C2311yescharacteristic
791#380C2312yes—
792#380C2312yes—
793C4×C4⋊C4C2312yes—
794C4×C4⋊C4C2311yescharacteristic
795C4×C4⋊C4C2312yes—
796C4×C4⋊C4C2312yes—
797C4×C4⋊C4C2311yescharacteristic
798C4×C4⋊C4C2312yes—
799C4×C4⋊C4C2312yes—
800C4×C4⋊C4C2312yes—
801C4×C4⋊C4C2314yes—
802C4×C4⋊C4C2312yes—
803C4×C4⋊C4C2311yescharacteristic
804C4×C4⋊C4C2312yes—
805C4×C4⋊C4C2311yescharacteristic
806C4×C4⋊C4C2312yes—
807C4×C4⋊C4C2311yescharacteristic
808C4×C4⋊C4C2312yes—
809C4×C4⋊C4C2312yes—
810C4×C4⋊C4C2314yes—
811C4×C4⋊C4C2311yescharacteristic
812C4×C4⋊C4C2311yescharacteristic
813C4×C22⋊C4C2314yes—
814C4×C22⋊C4C2314yes—
815C4×C22⋊C4C2311yescharacteristic
816C4×C22⋊C4C2311yescharacteristic
817C4×C22⋊C4C2312yes—
818C4×C22⋊C4C2312yes—
819C4×C22⋊C4C2312yes—
820C4×C22⋊C4C2314yes—
821C4×C22⋊C4C2311yescharacteristic
822C4×C22⋊C4C2312yes—
823C4×C22⋊C4C2312yes—
824C4×C22⋊C4C2312yes—
825C4×C22⋊C4C2312yes—
826C4×C22⋊C4C2314yes—
827C4×C22⋊C4C2314yes—
828C4×C22⋊C4C2314yes—
829C4×C22⋊C4C2314yes—
830C4×C22⋊C4C2314yes—
831C4×C22⋊C4C2314yes—
832C4×C22⋊C4C2312yes—
833C4×C22⋊C4C2312yes—
834C4×C22⋊C4C2312yes—
835C4×C22⋊C4C2312yes—
836C4×C22⋊C4C2311yescharacteristic
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—216no—
855C2×#41—28no—
856C2×#41—24no—
857C2×#41—48no—
858C2×#41—44no—
859C2×#41—44no—
860C2×#41—42no—
861C2×#41—44no—
862C2×#41—44no—
863C2×#41—84no—
864C2×#41—82no—
865C22×Q8—24no—
866C22×Q8—24no—
867C22×Q8—24no—
868C22×Q8—24no—
869C22×Q8—42no—
870C22×Q8—42no—
871C22×Q8C2412yes—
872C22×Q8C2412yes—
873C22×Q8C2412yes—
874C22×Q8C2411yescharacteristic
875C22×Q8C2411yescharacteristic
876C22×Q8C2411yescharacteristic
877C22×Q8C2411yescharacteristic
878C22×Q8C2414yes—
879C22×Q8C2412yes—
880C22×D4C2411yescharacteristic
881C22×D4C2411yescharacteristic
882C22×D4C2411yescharacteristic
883C22×D4C2412yes—
884C22×D4C2414yes—
885C22×D4C2412yes—
886C22×D4C2414yes—
887C22×D4C2414yes—
888C22×D4C2414yes—
889C22×D4C2412yes—
890C22×D4C2412yes—
891C22×D4C2412yes—
892C22×D4C2414yes—
893C22×D4C2412yes—
894C22×D4C2414yes—
895C22×D4C2414yes—
896C22×D4C2412yes—
897C23×C4C2412yes—
898C23×C4C2411yescharacteristic
899C23×C4C2411yescharacteristic
900C23×C4C2412yes—
901C23×C4C2411yescharacteristic
902C23×C4C2414yes—
903C23×C4C2412yes—
904C23×C4C2411yescharacteristic
905C23×C4C2414yes—
906C23×C4C2412yes—
907C23×C4C2412yes—
908C23×C4C2412yes—
909C23×C4C2414yes—
910C23×C4C2411yescharacteristic
911C23×C4C2411yescharacteristic
912C23×C4C2412yes—
913C23×C4C2414yes—
914C23×C4C2414yes—
915C23×C4C2414yes—
916C23×C4C2412yes—
917C23×C4C2414yes—
918C23×C4C2414yes—
919C4⋊Q8—28no—
920C4⋊Q8—28no—
921C4⋊Q8—28no—
922C4⋊Q8—216no—
923C4⋊Q8—24no—
924C4⋊Q8—24no—
925C4⋊Q8—28no—
926#127—28no—
927#127—28no—
928#127C2×D418yes—
929#126—28no—
930#126—216no—
931#126—216no—
932#126—216no—
933#126—216no—
934#125—216no—
935#125—24no—
936#125—28no—
937#125—28no—
938#124—24no—
939#124—24no—
940#124—24no—
941#124—28no—
942#124—28no—
943#124—216no—
944#124—216no—
945#124—216no—
946#124—28no—
947#124—28no—
948#124C2×D4116yes—
949#124C2×D4116yes—
950#123—216no—
951#123—28no—
952#123—216no—
953#123—216no—
954#123—216no—
955#123—216no—
956#123—216no—
957#123—216no—
958#123—84no—
959#123C2×D4132yes—
960C22⋊Q8—24no—
961C22⋊Q8—28no—
962C22⋊Q8—28no—
963C22⋊Q8—24no—
964C22⋊Q8—216no—
965C22⋊Q8—216no—
966C22⋊Q8—28no—
967C22⋊Q8—28no—
968C22⋊Q8—216no—
969C22⋊Q8—216no—
970C22⋊Q8—216no—
971C22⋊Q8—44no—
972C22⋊Q8—44no—
973C22⋊Q8—84no—
974C22⋊Q8—82no—
975C22⋊Q8#4118yescomplemented
976#121—28no—
977#121—28no—
978#121—216no—
979#121—28no—
980#121—28no—
981#121—28no—
982#121—28no—
983#121—216no—
984#121—24no—
985#121—24no—
986#121—216no—
987#121—216no—
988#121—216no—
989#121—216no—
990#121—28no—
991#121—48no—
992#121—44no—
993#121—42no—
994#121—44no—
995#121—44no—
996#121—84no—
997C4×Q8—24no—
998C4×Q8—24no—
999C4×Q8—24no—
1000C4×Q8—28no—
1001C4×Q8—24no—
1002C4×Q8—24no—
1003C4×Q8—28no—
1004C4×Q8—28no—
1005C4×Q8—28no—
1006C4×Q8—24no—
1007C4×Q8—24no—
1008C4×Q8—24no—
1009C4×Q8—28no—
1010C4×Q8—28no—
1011C4×Q8—28no—
1012C4×Q8—28no—
1013C4×Q8—28no—
1014C4×Q8—44no—
1015C4×Q8—42no—
1016C4×Q8C2×D418yes—
1017C4×Q8C2×D418yes—
1018C4×D4—28no—
1019C4×D4—28no—
1020C4×D4—28no—
1021C4×D4—28no—
1022C4×D4—28no—
1023C4×D4—28no—
1024C4×D4—216no—
1025C4×D4—216no—
1026C4×D4—216no—
1027C4×D4—28no—
1028C4×D4—24no—
1029C4×D4—28no—
1030C4×D4—24no—
1031C4×D4—28no—
1032C4×D4—28no—
1033C4×D4—216no—
1034C4×D4—216no—
1035C4×D4—216no—
1036C4×D4—216no—
1037C4×D4—216no—
1038C4×D4—28no—
1039C4×D4—24no—
1040C4×D4—28no—
1041C4×D4—24no—
1042C4×D4—28no—
1043C4×D4—44no—
1044C4×D4—44no—
1045C4×D4—44no—
1046C4×D4—42no—
1047C4×D4—44no—
1048C4×D4—44no—
1049C4×D4—42no—
1050C4×D4—84no—
1051C4×D4—82no—
1052C4×D4C2×D4116yes—
1053C4×D4C2×D4116yes—
1054#117—24no—
1055#117—28no—
1056#117—28no—
1057#117—216no—
1058#117—216no—
1059#117—216no—
1060#117—28no—
1061#117—84no—
1062C2×C4⋊C4—216no—
1063C2×C4⋊C4—28no—
1064C2×C4⋊C4—24no—
1065C2×C4⋊C4—28no—
1066C2×C4⋊C4—24no—
1067C2×C4⋊C4—28no—
1068C2×C4⋊C4—216no—
1069C2×C4⋊C4C2412yes—
1070C2×C4⋊C4C2414yes—
1071C2×C4⋊C4C2412yes—
1072C2×C4⋊C4C2412yes—
1073C2×C4⋊C4C2412yes—
1074C2×C4⋊C4C2412yes—
1075C2×C4⋊C4C2414yes—
1076C2×C4⋊C4C2411yescharacteristic
1077C2×C4⋊C4C2412yes—
1078C2×C4⋊C4C2411yescharacteristic
1079C2×C4⋊C4C2412yes—
1080C2×C4⋊C4C2412yes—
1081C2×C4⋊C4C2412yes—
1082C2×C4⋊C4C2412yes—
1083C2×C4⋊C4C2412yes—
1084C2×C4⋊C4C2414yes—
1085C2×C4⋊C4C2414yes—
1086C2×C4⋊C4C2412yes—
1087C2×C4⋊C4C2411yescharacteristic
1088C2×C4⋊C4C2412yes—
1089C2×C4⋊C4C2414yes—
1090C2×C4⋊C4C2412yes—
1091C2×C4⋊C4C2414yes—
1092C2×C4⋊C4C2414yes—
1093C2×C4⋊C4C2411yescharacteristic
1094C2×C4⋊C4C2412yes—
1095C2×C4⋊C4C2411yescharacteristic
1096C2×C4⋊C4C2412yes—
1097C2×C4⋊C4C2412yes—
1098C2×C4⋊C4C2412yes—
1099C2×C4⋊C4C2414yes—
1100C2×C4⋊C4C2412yes—
1101C2×C4⋊C4C2414yes—
1102C2×C4⋊C4C2411yescharacteristic
1103C2×C4⋊C4C2412yes—
1104C2×C4⋊C4C2411yescharacteristic
1105C2×C4⋊C4C2414yes—
1106C2×C4⋊C4C2411yescharacteristic
1107C2×C4⋊C4C2412yes—
1108C2×C4⋊C4C2414yes—
1109C2×C4⋊C4C2412yes—
1110C2×C4⋊C4C2414yes—
1111C2×C4⋊C4C2414yes—
1112C2×C4⋊C4C2412yes—
1113C2×C4⋊C4C2412yes—
1114C2×C4⋊C4C2412yes—
1115C2×C4⋊C4C2411yescharacteristic
1116C2×C4⋊C4C2411yescharacteristic
1117C2×C4⋊C4C2412yes—
1118C2×C4⋊C4C2414yes—
1119C2×C4⋊C4C2414yes—
1120C2×C4⋊C4C2412yes—
1121C2×C4⋊C4C2414yes—
1122C2×C4⋊C4C2414yes—
1123C2×C4⋊C4C2414yes—
1124C2×C4⋊C4C2414yes—
1125C2×C4⋊C4C2412yes—
1126C2×C4⋊C4C2411yescharacteristic
1127C2×C4⋊C4C2411yescharacteristic
1128C2×C4⋊C4C2412yes—
1129C2×C4⋊C4C2412yes—
1130C2×C4⋊C4C2412yes—
1131C2×C4⋊C4C2411yescharacteristic
1132C2×C22⋊C4C2412yes—
1133C2×C22⋊C4C2414yes—
1134C2×C22⋊C4C2412yes—
1135C2×C22⋊C4C2414yes—
1136C2×C22⋊C4C2414yes—
1137C2×C22⋊C4C2414yes—
1138C2×C22⋊C4C2412yes—
1139C2×C22⋊C4C2412yes—
1140C2×C22⋊C4C2412yes—
1141C2×C22⋊C4C2412yes—
1142C2×C22⋊C4C2411yescharacteristic
1143C2×C22⋊C4C2411yescharacteristic
1144C2×C22⋊C4C2414yes—
1145C2×C22⋊C4C2412yes—
1146C2×C22⋊C4C2414yes—
1147C2×C22⋊C4C2414yes—
1148C2×C22⋊C4C2414yes—
1149C2×C22⋊C4C2414yes—
1150C2×C22⋊C4C2412yes—
1151C2×C22⋊C4C2414yes—
1152C2×C22⋊C4C2412yes—
1153C2×C22⋊C4C2412yes—
1154C2×C22⋊C4C2411yescharacteristic
1155C2×C22⋊C4C2412yes—
1156C2×C22⋊C4C2412yes—
1157C2×C22⋊C4C2414yes—
1158C2×C22⋊C4C2412yes—
1159C2×C22⋊C4C2412yes—
1160C2×C22⋊C4C2412yes—
1161C2×C22⋊C4C2412yes—
1162C2×C22⋊C4C2412yes—
1163C2×C22⋊C4C2414yes—
1164C2×C22⋊C4C2414yes—
1165C2×C22⋊C4C2412yes—
1166C2×C22⋊C4C2414yes—
1167C2×C22⋊C4C2411yescharacteristic
1168C2×C22⋊C4C2412yes—
1169C2×C22⋊C4C2414yes—
1170C2×C22⋊C4C2411yescharacteristic
1171C2×C22⋊C4C2411yescharacteristic
1172C2×C22⋊C4C2412yes—
1173C2×C22⋊C4C2412yes—
1174C2×C22⋊C4C2414yes—
1175C2×C22⋊C4C2414yes—
1176C2×C22⋊C4C2412yes—
1177C2×C22⋊C4C2412yes—
1178C2×C22⋊C4C2414yes—
1179C2×C22⋊C4C2412yes—
1180C2×C22⋊C4C2412yes—
1181C2×C22⋊C4C2414yes—
1182C2×C22⋊C4C2414yes—
1183C2×C22⋊C4C2414yes—
1184C2×C22⋊C4C2412yes—
1185C2×C22⋊C4C2414yes—
1186C2×C22⋊C4C2414yes—
1187C2×C22⋊C4C2412yes—
1188C2×C22⋊C4C2414yes—
1189C2×C22⋊C4C2414yes—
1190C2×C22⋊C4C2414yes—
1191C2×C22⋊C4C2412yes—
1192C2×C42—216no—
1193C2×C42—24no—
1194C2×C42—28no—
1195C2×C42—24no—
1196C2×C42—28no—
1197C2×C42—28no—
1198C2×C42C2412yes—
1199C2×C42C2412yes—
1200C2×C42C2411yescharacteristic
1201C2×C42C2411yescharacteristic
1202C2×C42C2412yes—
1203C2×C42C2412yes—
1204C2×C42C2414yes—
1205C2×C42C2414yes—
1206C2×C42C2411yescharacteristic
1207C2×C42C2414yes—
1208C2×C42C2411yescharacteristic
1209C2×C42C2411yescharacteristic
1210C2×C42C2412yes—
1211C2×C42C2411yescharacteristic
1212C2×C42C2412yes—
1213C2×C42C2412yes—
1214C2×C42C2411yescharacteristic
1215C2×C42C2412yes—
1216C2×C42C2412yes—
1217C2×C42C2411yescharacteristic
1218C2×C42C2412yes—
1219C2×C42C2412yes—
1220C2×C42C2411yescharacteristic
1221C2×C42C2411yescharacteristic
1222C2×C42C2412yes—
1223C2×C42C2414yes—
1224C2×C42C2411yescharacteristic
1225C2×C42C2412yes—
1226C2×C42C2411yescharacteristic
1227C2×C42C2412yes—
1228C2×C42C2414yes—
1229C2×C42C2412yes—
1230C2×C42C2412yes—
1231C2×C42C2411yescharacteristic
1232#95C2411yescharacteristic
1233#95C2412yes—
1234#95C2412yes—
1235#95C2412yes—
1236#95C2412yes—
1237#95C2412yes—
1238#95C2412yes—
1239#95C2414yes—
1240#95C2414yes—
1241#95C2414yes—
1242#95C2414yes—
1243#95C2414yes—
1244#95C2414yes—
1245#95C2414yes—
1246#95C2414yes—
1247#95C2414yes—
1248#95C2412yes—
1249#95C2412yes—
1250#95C2412yes—
1251#95C2411yescharacteristic
1252#95C2411yescharacteristic
1253#95C2411yescharacteristic
1254#95C2412yes—
1255#95C2411yescharacteristic
1256#95C2412yes—
1257#95C2412yes—
1258#95C2412yes—
1259#95C2412yes—
1260#95C2411yescharacteristic
1261#95C2412yes—
1262#95C2412yes—
1263#95C2414yes—
1264#95C2414yes—
1265#95C2414yes—
1266#95C2412yes—
1267#95C2412yes—
1268#95C2412yes—
1269#95C2412yes—
1270#95C2412yes—
1271#95C2412yes—
1272#95C2412yes—
1273#95C2412yes—
1274#95C2414yes—
1275#95C2414yes—
1276#95C2414yes—
1277#95C2412yes—
1278#95C2414yes—
1279#95C2412yes—
1280#95C2412yes—
1281#95C2412yes—
1282#95C2414yes—
1283#95C2414yes—
1284#95C2414yes—
1285#95C2412yes—
1286#95C2412yes—
1287#95C2414yes—
1288#95C2414yes—
1289#95C2414yes—
1290C24C2512yes—
1291C24C2512yes—
1292C24C2514yes—
1293C24C2511yescharacteristic
1294C24C2511yescharacteristic
1295#41—432no—
1296#41—416no—
1297#41—432no—
1298#41—432no—
1299#41—832no—
1300#41—816no—
1301C2×Q8—22no—
1302C2×Q8—22no—
1303C2×Q8—24no—
1304C2×Q8—24no—
1305C2×Q8—24no—
1306C2×Q8—28no—
1307C2×Q8—24no—
1308C2×Q8—22no—
1309C2×Q8—24no—
1310C2×Q8—24no—
1311C2×Q8—22no—
1312C2×Q8—24no—
1313C2×Q8—22no—
1314C2×Q8—22no—
1315C2×Q8—22no—
1316C2×Q8—22no—
1317C2×Q8—24no—
1318C2×Q8—42no—
1319C2×Q8—42no—
1320C2×Q8—42no—
1321C2×Q8—44no—
1322C2×Q8—42no—
1323C2×Q8—44no—
1324C2×Q8—416no—
1325C2×Q8—416no—
1326C2×Q8C22×D414yes—
1327C2×Q8C22×D414yes—
1328C2×Q8C2×#4114yes—
1329C2×Q82−1+414yes—
1330C2×D4—28no—
1331C2×D4—28no—
1332C2×D4—28no—
1333C2×D4—28no—
1334C2×D4—22no—
1335C2×D4—28no—
1336C2×D4—24no—
1337C2×D4—24no—
1338C2×D4—22no—
1339C2×D4—24no—
1340C2×D4—28no—
1341C2×D4—28no—
1342C2×D4—28no—
1343C2×D4—24no—
1344C2×D4—22no—
1345C2×D4—24no—
1346C2×D4—22no—
1347C2×D4—24no—
1348C2×D4—24no—
1349C2×D4—24no—
1350C2×D4—28no—
1351C2×D4—22no—
1352C2×D4—24no—
1353C2×D4—22no—
1354C2×D4—28no—
1355C2×D4—24no—
1356C2×D4—24no—
1357C2×D4—22no—
1358C2×D4—22no—
1359C2×D4—42no—
1360C2×D4—41no—
1361C2×D4—42no—
1362C2×D4—42no—
1363C2×D4—42no—
1364C2×D4—44no—
1365C2×D4—44no—
1366C2×D4—44no—
1367C2×D4—42no—
1368C2×D4—44no—
1369C2×D4—44no—
1370C2×D4—44no—
1371C2×D4—42no—
1372C2×D4—44no—
1373C2×D4—44no—
1374C2×D4—42no—
1375C2×D4—44no—
1376C2×D4—44no—
1377C2×D4—44no—
1378C2×D4C22×D418yes—
1379C2×D4C22×D418yes—
1380C2×D4C22×D418yes—
1381C22×C4—22no—
1382C22×C4—22no—
1383C22×C4—28no—
1384C22×C4—28no—
1385C22×C4—28no—
1386C22×C4—24no—
1387C22×C4—22no—
1388C22×C4—28no—
1389C22×C4—22no—
1390C22×C4—22no—
1391C22×C4—24no—
1392C22×C4—24no—
1393C22×C4—24no—
1394C22×C4—22no—
1395C22×C4—22no—
1396C22×C4—24no—
1397C22×C4—24no—
1398C22×C4—24no—
1399C22×C4—28no—
1400C22×C4—28no—
1401C22×C4—24no—
1402C22×C4—22no—
1403C22×C4—24no—
1404C22×C4—24no—
1405C22×C4—22no—
1406C22×C4—24no—
1407C22×C4—22no—
1408C22×C4—28no—
1409C22×C4—24no—
1410C22×C4—22no—
1411C22×C4—22no—
1412C22×C4—24no—
1413C22×C4—24no—
1414C22×C4—22no—
1415C22×C4—22no—
1416C22×C4—24no—
1417C22×C4—24no—
1418C22×C4—28no—
1419C22×C4—28no—
1420C22×C4—44no—
1421C22×C4—42no—
1422C22×C4—42no—
1423C22×C4—42no—
1424C22×C4—44no—
1425C22×C4—44no—
1426C22×C4—44no—
1427C22×C4—44no—
1428C22×C4—42no—
1429C22×C4—41no—
1430C22×C4—44no—
1431C22×C4—42no—
1432C22×C4—41no—
1433C22×C4—42no—
1434C22×C4—44no—
1435C22×C4—44no—
1436C22×C4—42no—
1437C22×C4—41no—
1438C22×C4—42no—
1439C22×C4—44no—
1440C22×C4—44no—
1441C22×C4—44no—
1442C22×C4—44no—
1443C22×C4—44no—
1444C22×C4—44no—
1445C22×C4C22×D4116yes—
1446C22×C4C2×#4114yes—
1447C22×C4C2511yescharacteristic
1448C22×C4C2512yes—
1449C22×C4C2511yescharacteristic
1450C22×C4C2511yescharacteristic
1451C22×C4C2512yes—
1452C22×C4C2512yes—
1453C22×C4C2511yescharacteristic
1454C22×C4C2511yescharacteristic
1455C22×C4C2514yes—
1456C22×C4C2511yescharacteristic
1457C22×C4C2512yes—
1458C22×C4C2514yes—
1459C22×C4C2511yescharacteristic
1460C22×C4C2512yes—
1461C22×C4C2511yescharacteristic
1462C22×C4C2514yes—
1463C22×C4C2512yes—
1464C22×C4C2511yescharacteristic
1465C22×C4C2512yes—
1466C22×C4C2512yes—
1467C22×C4C2512yes—
1468C22×C4C2512yes—
1469C22×C4C2511yescharacteristic
1470C22×C4C2512yes—
1471C22×C4C2511yescharacteristic
1472C22×C4C2512yes—
1473C22×C4C2512yes—
1474C22×C4C2512yes—
1475C22×C4C2511yescharacteristic
1476C22×C4C2511yescharacteristic
1477C4⋊C4—24no—
1478C4⋊C4—24no—
1479C4⋊C4—28no—
1480C4⋊C4—24no—
1481C4⋊C4—28no—
1482C4⋊C4—24no—
1483C4⋊C4—24no—
1484C4⋊C4—22no—
1485C4⋊C4—24no—
1486C4⋊C4—22no—
1487C4⋊C4—24no—
1488C4⋊C4—24no—
1489C4⋊C4—24no—
1490C4⋊C4—24no—
1491C4⋊C4—24no—
1492C4⋊C4—22no—
1493C4⋊C4—28no—
1494C4⋊C4—24no—
1495C4⋊C4—24no—
1496C4⋊C4—28no—
1497C4⋊C4—28no—
1498C4⋊C4—22no—
1499C4⋊C4—24no—
1500C4⋊C4—24no—
1501C4⋊C4—28no—
1502C4⋊C4—24no—
1503C4⋊C4—28no—
1504C4⋊C4—28no—
1505C4⋊C4—24no—
1506C4⋊C4—28no—
1507C4⋊C4—28no—
1508C4⋊C4—22no—
1509C4⋊C4—24no—
1510C4⋊C4—28no—
1511C4⋊C4—22no—
1512C4⋊C4—24no—
1513C4⋊C4—22no—
1514C4⋊C4—24no—
1515C4⋊C4—24no—
1516C4⋊C4—22no—
1517C4⋊C4—42no—
1518C4⋊C4—44no—
1519C4⋊C4—42no—
1520C4⋊C4—42no—
1521C4⋊C4—41no—
1522C4⋊C4—41no—
1523C4⋊C4—42no—
1524C4⋊C4—44no—
1525C4⋊C4—44no—
1526C4⋊C4—42no—
1527C4⋊C4—44no—
1528C4⋊C4—42no—
1529C4⋊C4—44no—
1530C4⋊C4—44no—
1531C4⋊C4—44no—
1532C4⋊C4—44no—
1533C4⋊C4—42no—
1534C4⋊C4C22×D414yes—
1535C4⋊C4C22×D414yes—
1536C4⋊C4C22×D418yes—
1537C4⋊C4C22×D418yes—
1538C4⋊C4C2×#4118yes—
1539C4⋊C4C2×#4114yes—
1540C22⋊C4—28no—
1541C22⋊C4—28no—
1542C22⋊C4—28no—
1543C22⋊C4—28no—
1544C22⋊C4—28no—
1545C22⋊C4—28no—
1546C22⋊C4—24no—
1547C22⋊C4—22no—
1548C22⋊C4—22no—
1549C22⋊C4—24no—
1550C22⋊C4—24no—
1551C22⋊C4—24no—
1552C22⋊C4—28no—
1553C22⋊C4—24no—
1554C22⋊C4—24no—
1555C22⋊C4—24no—
1556C22⋊C4—24no—
1557C22⋊C4—24no—
1558C22⋊C4—28no—
1559C22⋊C4—28no—
1560C22⋊C4—24no—
1561C22⋊C4—22no—
1562C22⋊C4—28no—
1563C22⋊C4—24no—
1564C22⋊C4—24no—
1565C22⋊C4—28no—
1566C22⋊C4—24no—
1567C22⋊C4—24no—
1568C22⋊C4—24no—
1569C22⋊C4—24no—
1570C22⋊C4—24no—
1571C22⋊C4—44no—
1572C22⋊C4—44no—
1573C22⋊C4—44no—
1574C22⋊C4—44no—
1575C22⋊C4—42no—
1576C22⋊C4—42no—
1577C22⋊C4—44no—
1578C22⋊C4—41no—
1579C22⋊C4—41no—
1580C22⋊C4—41no—
1581C22⋊C4—42no—
1582C22⋊C4—42no—
1583C22⋊C4—44no—
1584C22⋊C4—44no—
1585C22⋊C4—42no—
1586C22⋊C4—44no—
1587C22⋊C4—44no—
1588C22⋊C4—42no—
1589C22⋊C4—42no—
1590C22⋊C4—42no—
1591C22⋊C4—44no—
1592C22⋊C4—44no—
1593C22⋊C4—42no—
1594C22⋊C4—44no—
1595C22⋊C4—42no—
1596C22⋊C4C22×D4116yes—
1597C22⋊C4C22×D4116yes—
1598C22⋊C4C22×D4116yes—
1599C22⋊C4C2×#4118yes—
1600C42—24no—
1601C42—24no—
1602C42—22no—
1603C42—22no—
1604C42—24no—
1605C42—24no—
1606C42—22no—
1607C42—24no—
1608C42—28no—
1609C42—28no—
1610C42—22no—
1611C42—22no—
1612C42—24no—
1613C42—24no—
1614C42—22no—
1615C42—24no—
1616C42—28no—
1617C42—24no—
1618C42—24no—
1619C42—22no—
1620C42—22no—
1621C42—22no—
1622C42—24no—
1623C42—22no—
1624C42—42no—
1625C42—44no—
1626C42—42no—
1627C42—41no—
1628C42—41no—
1629C42—44no—
1630C42—42no—
1631C42C22×D418yes—
1632C42C22×D414yes—
1633C42C22×D418yes—
1634C23—21no—
1635C23—21no—
1636C23—21no—
1637C23—24no—
1638C23—21no—
1639C23—21no—
1640C23—24no—
1641C23—21no—
1642C23—21no—
1643C23—24no—
1644C23—21no—
1645C23—21no—
1646C23—24no—
1647C23—21no—
1648C23—24no—
1649C23—21no—
1650C23—24no—
1651C23—21no—
1652C23—22no—
1653C23—22no—
1654C23—22no—
1655C23—22no—
1656C23—22no—
1657C23—22no—
1658C23—22no—
1659C23—22no—
1660C23—22no—
1661C23—22no—
1662C23—22no—
1663C23—22no—
1664C23—22no—
1665C23—22no—
1666C23C23×D418yes—
1667C23C22×#4112yes—
1668C23#58512yes—
1669C23C2611yescharacteristic
1670Q8—28no—
1671Q8—28no—
1672Q8—28no—
1673Q8—28no—
1674Q8—48no—
1675Q8—48no—
1676Q8—48no—
1677Q8—88no—
1678Q8—84no—
1679D4—216no—
1680D4—216no—
1681D4—48no—
1682D4—48no—
1683D4—416no—
1684D4—416no—
1685D4—48no—
1686D4—48no—
1687D4—44no—
1688D4—416no—
1689D4—416no—
1690D4—44no—
1691D4—44no—
1692D4—88no—
1693D4—84no—
1694D4—88no—
1695D4—88no—
1696C2×C4—21no—
1697C2×C4—22no—
1698C2×C4—22no—
1699C2×C4—22no—
1700C2×C4—22no—
1701C2×C4—22no—
1702C2×C4—22no—
1703C2×C4—22no—
1704C2×C4—22no—
1705C2×C4—22no—
1706C2×C4—21no—
1707C2×C4—22no—
1708C2×C4—21no—
1709C2×C4—22no—
1710C2×C4—22no—
1711C2×C4—22no—
1712C2×C4—21no—
1713C2×C4—22no—
1714C2×C4—28no—
1715C2×C4—21no—
1716C2×C4—21no—
1717C2×C4—22no—
1718C2×C4—21no—
1719C2×C4—21no—
1720C2×C4—24no—
1721C2×C4—22no—
1722C2×C4—21no—
1723C2×C4—22no—
1724C2×C4—24no—
1725C2×C4—22no—
1726C2×C4—21no—
1727C2×C4—22no—
1728C2×C4—21no—
1729C2×C4—22no—
1730C2×C4—21no—
1731C2×C4—22no—
1732C2×C4—24no—
1733C2×C4—21no—
1734C2×C4—21no—
1735C2×C4—22no—
1736C2×C4—21no—
1737C2×C4—22no—
1738C2×C4—21no—
1739C2×C4—21no—
1740C2×C4—22no—
1741C2×C4—21no—
1742C2×C4—21no—
1743C2×C4—21no—
1744C2×C4—21no—
1745C2×C4—22no—
1746C2×C4—24no—
1747C2×C4—21no—
1748C2×C4—22no—
1749C2×C4—22no—
1750C2×C4—21no—
1751C2×C4—24no—
1752C2×C4—22no—
1753C2×C4—21no—
1754C2×C4—22no—
1755C2×C4—21no—
1756C2×C4—22no—
1757C2×C4—24no—
1758C2×C4—21no—
1759C2×C4—22no—
1760C2×C4—24no—
1761C2×C4—21no—
1762C2×C4—21no—
1763C2×C4—22no—
1764C2×C4—22no—
1765C2×C4—21no—
1766C2×C4—24no—
1767C2×C4—21no—
1768C2×C4—21no—
1769C2×C4—24no—
1770C2×C4—22no—
1771C2×C4—22no—
1772C2×C4—416no—
1773C2×C4—48no—
1774C2×C4—48no—
1775C2×C4—48no—
1776C2×C4—416no—
1777C2×C4—416no—
1778C2×C4—416no—
1779C2×C4—48no—
1780C2×C4—44no—
1781C2×C4—44no—
1782C2×C4—48no—
1783C2×C4—44no—
1784C2×C4—44no—
1785C2×C4—48no—
1786C2×C4—84no—
1787C2×C4—84no—
1788C2×C4—82no—
1789C2×C4—88no—
1790C2×C4—88no—
1791C2×C4—88no—
1792C2×C4—164no—
1793C2×C4C23×D414yes—
1794C2×C4C23×D414yes—
1795C2×C4C23×D414yes—
1796C2×C4C23×D412yes—
1797C2×C4C23×D414yes—
1798C2×C4C23×D412yes—
1799C2×C4C23×D412yes—
1800C2×C4C22×#4114yes—
1801C2×C4C22×#4112yes—
1802C2×C4C22×#4114yes—
1803C2×C4C22×#4112yes—
1804C2×C4C2×2−1+414yes—
1805C2×C4C2×2−1+412yes—
1806C2×C4#58512yes—
1807C2×C4#58512yes—
1808C22—22no—
1809C22—28no—
1810C22—22no—
1811C22—22no—
1812C22—28no—
1813C22—22no—
1814C22—22no—
1815C22—22no—
1816C22—28no—
1817C22—41no—
1818C22—41no—
1819C22—44no—
1820C22—41no—
1821C22—44no—
1822C22—41no—
1823C22—41no—
1824C22—44no—
1825C22—41no—
1826C22—44no—
1827C22—41no—
1828C22—41no—
1829C22—42no—
1830C22—42no—
1831C22—42no—
1832C22—42no—
1833C22—42no—
1834C22—42no—
1835C22—42no—
1836C22—42no—
1837C22—42no—
1838C22—42no—
1839C22—42no—
1840C22—42no—
1841C22—42no—
1842C22—42no—
1843C22C24×D411yescharacteristic
1844C22C23×#4111yescharacteristic
1845C22C22×2−1+411yescharacteristic
1846C22C2×#58511yescharacteristic
1847C22C2×#58511yescharacteristic
1848C22C2×#58511yescharacteristic
1849C22H(7,𝔽2)11yescharacteristic
1850C4—24no—
1851C4—24no—
1852C4—22no—
1853C4—24no—
1854C4—24no—
1855C4—24no—
1856C4—22no—
1857C4—24no—
1858C4—24no—
1859C4—41no—
1860C4—42no—
1861C4—41no—
1862C4—44no—
1863C4—42no—
1864C4—41no—
1865C4—42no—
1866C4—41no—
1867C4—41no—
1868C4—42no—
1869C4—41no—
1870C4—42no—
1871C4—41no—
1872C4—42no—
1873C4—44no—
1874C4—41no—
1875C4—42no—
1876C4—41no—
1877C4—44no—
1878C4D4×#4114yes—
1879C4#348914yes—
1880C2—42no—
1881C2—48no—
1882C2—42no—
1883C2—82no—
1884C2—82no—
1885C2C2×D4×#4111yescharacteristic
1886C2C2×#348911yescharacteristic
1887C2#6281611yescharacteristic
1888C2#6296911yescharacteristic
1889C2#6298711yescharacteristic
1890C2#6299911yescharacteristic
1891C2#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×#3522C2semidirect
2. C2×#3480C2semidirect
3. #59419C2semidirect
4. #59417C2semidirect
5. #59128C2semidirect
6. #59092C2semidirect
7. #59072C2semidirect
8. #59066C2semidirect
9. #59043C2semidirect
10. #59039C2semidirect
11. #45307C2semidirect
12. #45227C2semidirect
13. #43919C2semidirect
14. #43108C2semidirect
15. #39952C2semidirect
16. #39852C2semidirect
17. #39172C2semidirect
18. #39136C2semidirect
19. #37735C2semidirect
20. #37699C2semidirect
21. #36562C2semidirect
22. #36545C2semidirect
23. Q8×C22⋊Q8C2semidirect
24. #36492C2semidirect
25. #36404C2semidirect
26. #36219C2semidirect
27. #36149C2semidirect
28. #36114C2semidirect
29. #35912C2semidirect
30. #35778C2semidirect
31. #34715C2semidirect
32. #34708C2semidirect
33. #34331C2semidirect
34. #34289C2semidirect
35. C4×#548C2semidirect
311. #559D4semidirect
975. C22⋊Q8#41semidirect

Maximal subgroups

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

subgroupindex
C2×#35222
C2×#34802
#594192
#594172
#591282
#590922
#590722
#590662
#590432
#590392
#453072
#452272
#439192
#431082
#399522
#398522
#391722
#391362
#377352
#376992
#365622
#365452
Q8×C22⋊Q82
#364922
#364042
#362192
#361492
#361142
#359122
#357782
#347152
#347082
#343312
#342892
C4×#5482