Finite Group Databasebeta

← #7691779

Subgroups — #7691779

Order 512.

7156 conjugacy classes of subgroups.

The subgroup lattice has 1885 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3517C211yesmaximal, characteristic, complemented
2C2×#3480C211yesmaximal, characteristic, complemented
3#59770C212yesmaximal, complemented
4#59411C211yesmaximal, characteristic, complemented
5#59121C212yesmaximal, complemented
6#59101C212yesmaximal, complemented
7#59066C211yesmaximal, characteristic, complemented
8#59066C212yesmaximal, complemented
9#59064C211yesmaximal, characteristic, complemented
10#59063C214yesmaximal, complemented
11#45141C212yesmaximal, complemented
12#45100C212yesmaximal, complemented
13#44456C214yesmaximal, complemented
14#43542C214yesmaximal, complemented
15#39956C212yesmaximal, complemented
16#39864C212yesmaximal, complemented
17#39170C211yesmaximal, characteristic, complemented
18#39139C211yesmaximal, characteristic, complemented
19#37742C214yesmaximal, complemented
20#37700C212yesmaximal, complemented
21#36545C211yesmaximal, characteristic, complemented
22#36436C212yesmaximal, complemented
23#36406C211yesmaximal, characteristic, complemented
24#36405C211yesmaximal, characteristic, complemented
25#36404C211yesmaximal, characteristic, complemented
26#36217C212yesmaximal, complemented
27#36149C211yesmaximal, characteristic, complemented
28#36116C212yesmaximal, complemented
29#35856C212yesmaximal, complemented
30#35846C212yesmaximal, complemented
31#34744C212yesmaximal, complemented
32#34708C211yesmaximal, characteristic, complemented
33#34330C211yesmaximal, characteristic, complemented
34#34289C212yesmaximal, complemented
35C4×#547C211yesmaximal, characteristic, complemented
36#3517—216no—
37#3480—216no—
38C2×#559C2211yescharacteristic
39C2×#559C2212yes—
40C2×#557C2211yescharacteristic
41C2×#557C2211yescharacteristic
42C2×#556C2212yes—
43C2×#556C2211yescharacteristic
44C2×#553C2212yes—
45C2×#553C2214yes—
46C2×#553C2214yes—
47C2×#553C2212yes—
48C2×#550C2211yescharacteristic
49C2×#550C2212yes—
50C2×#550C2212yes—
51C2×#550C2211yescharacteristic
52C2×#548C2212yes—
53C2×#547C2212yes—
54C2×#547C2211yescharacteristic
55C2×#547C2211yescharacteristic
56C2×#547C2212yes—
57C2×#540C2212yes—
58C2×#540C2214yes—
59C2×#532C2211yescharacteristic
60C2×#532C2211yescharacteristic
61C2×#532C2212yes—
62C2×#532C2212yes—
63C2×#529C2212yes—
64C2×#529C2212yes—
65C2×#529C2211yescharacteristic
66C2×#529C2214yes—
67C2×#520C2212yes—
68C2×C4×#41C2211yescharacteristic
69C2×C4×#41C2211yescharacteristic
70C2×C4×#41C2212yes—
71C2×C4×#41C2212yes—
72C22×C4×Q8C2211yescharacteristic
73#2862C2211yescharacteristic
74#2857C2212yes—
75#2857C2211yescharacteristic
76#2857C2211yescharacteristic
77#2855C2212yes—
78#2855C2212yes—
79#2853C2214yes—
80#2851C2212yes—
81#2724C2214yes—
82#2721C2214yes—
83#2719C2214yes—
84#2719C2214yes—
85#2717C2214yes—
86#2709C2214yes—
87#2709C2214yes—
88#2708C2214yes—
89#2708C2214yes—
90#2708C2214yes—
91#2701C2214yes—
92#2701C2214yes—
93#2694C2214yes—
94#2688C2214yes—
95#2688C2214yes—
96#2686C2214yes—
97#2686C2214yes—
98#2686C2214yes—
99#2671C2214yes—
100#2671C2214yes—
101#2671C2214yes—
102#2663C2214yes—
103#2642C2212yes—
104#2638C2214yes—
105#2621C2212yes—
106#2602C2214yes—
107#2600C2214yes—
108#2584C2212yes—
109#2583C2214yes—
110#2582C2211yescharacteristic
111#2581C2212yes—
112#2568C2211yescharacteristic
113#2565C2212yes—
114#2564C2214yes—
115#2559C2214yes—
116#2559C2214yes—
117#2553C2214yes—
118#2553C2214yes—
119#2552C2212yes—
120#2547C2212yes—
121#2546C2212yes—
122#2546C2211yescharacteristic
123#2546C2211yescharacteristic
124#2544C2212yes—
125#2542C2212yes—
126#2542C2211yescharacteristic
127#2538C2211yescharacteristic
128#2536C2212yes—
129#2535C2212yes—
130#2499C2212yes—
131#2498C2214yes—
132#2496C2214yes—
133#2496C2214yes—
134#2490C2212yes—
135#2486C2214yes—
136#2485C2212yes—
137#2484C2214yes—
138#2481C2212yes—
139#2478C2214yes—
140#2478C2214yes—
141#2478C2214yes—
142#2478C2214yes—
143#2476C2214yes—
144#2473C2214yes—
145#2470C2214yes—
146#2469C2212yes—
147#2468C2214yes—
148#2468C2214yes—
149#2466C2214yes—
150#2466C2214yes—
151#2464C2214yes—
152#2462C2214yes—
153#2458C2212yes—
154#2457C2214yes—
155#2453C2212yes—
156#2453C2212yes—
157#2453C2211yescharacteristic
158#2448C2211yescharacteristic
159#2448C2212yes—
160#2447C2212yes—
161#2447C2212yes—
162#2447C2212yes—
163#2447C2212yes—
164#2447C2212yes—
165#2447C2212yes—
166#2446C2212yes—
167#2446C2212yes—
168#2446C2212yes—
169#2445C2212yes—
170#2445C2214yes—
171#2445C2212yes—
172#2444C2214yes—
173#2444C2214yes—
174#2444C2214yes—
175#2444C2214yes—
176#2443C2214yes—
177#2443C2214yes—
178#2443C2214yes—
179#2443C2212yes—
180#2443C2214yes—
181#2442C2211yescharacteristic
182#2436C2211yescharacteristic
183#2434C2212yes—
184#2432C2212yes—
185#2432C2212yes—
186#2432C2212yes—
187#2432C2212yes—
188#2432C2212yes—
189#2428C2214yes—
190#2428C2212yes—
191#2427C2212yes—
192#2427C2212yes—
193#2427C2212yes—
194#2427C2212yes—
195#2427C2212yes—
196#2427C2212yes—
197#2427C2212yes—
198#2426C2211yescharacteristic
199#2425C2214yes—
200#2425C2214yes—
201#2423C2212yes—
202#2422C2212yes—
203#2422C2212yes—
204#2422C2214yes—
205#2421C2211yescharacteristic
206#2420C2212yes—
207#2420C2212yes—
208#2420C2212yes—
209#2420C2212yes—
210#2419C2214yes—
211#2419C2214yes—
212#2419C2214yes—
213#2419C2214yes—
214#2419C2214yes—
215#2419C2214yes—
216#2416C2211yescharacteristic
217#2415C2212yes—
218#2415C2212yes—
219#2409C2211yescharacteristic
220#2407C2212yes—
221#2407C2212yes—
222#2407C2212yes—
223#2407C2212yes—
224#2407C2212yes—
225#2398C2212yes—
226#2396C2212yes—
227#2395C2214yes—
228#2395C2214yes—
229#2366C2212yes—
230#2366C2211yescharacteristic
231#2365C2211yescharacteristic
232#2365C2212yes—
233#2365C2212yes—
234#2364C2214yes—
235#2364C2214yes—
236#2363C2212yes—
237#2362C2211yescharacteristic
238#2362C2212yes—
239#2362C2211yescharacteristic
240#2361C2212yes—
241#2360C2212yes—
242#2360C2212yes—
243#2360C2212yes—
244#2360C2212yes—
245#2359C2212yes—
246#2359C2212yes—
247#2359C2214yes—
248#2359C2214yes—
249#2357C2212yes—
250#2355C2211yescharacteristic
251#2354C2211yescharacteristic
252#2354C2211yescharacteristic
253#2352C2212yes—
254#2349C2212yes—
255#2349C2212yes—
256#2349C2212yes—
257D4×C4⋊C4C2212yes—
258D4×C4⋊C4C2214yes—
259D4×C4⋊C4C2211yescharacteristic
260#2344C2214yes—
261#2344C2212yes—
262#2339C2212yes—
263#2339C2212yes—
264#2339C2212yes—
265#2339C2212yes—
266#2339C2211yescharacteristic
267#2339C2211yescharacteristic
268#2339C2212yes—
269#2333C2214yes—
270#2328C2212yes—
271#2327C2212yes—
272#2325C2214yes—
273#2323C2212yes—
274#2322C2214yes—
275C4×C4⋊Q8C2211yescharacteristic
276C4×#127C2211yescharacteristic
277C4×#124C2211yescharacteristic
278C4×C22⋊Q8C2211yescharacteristic
279C4×C22⋊Q8C2211yescharacteristic
280C4×C22⋊Q8C2211yescharacteristic
281C4×C22⋊Q8C2212yes—
282C4×#123C2214yes—
283C4×#123C2214yes—
284C4×#123C2212yes—
285C4×#123C2212yes—
286C4×#121C2212yes—
287C4×#121C2212yes—
288C4×#121C2211yescharacteristic
289C4×#121C2212yes—
290#2297C2212yes—
291#2297C2212yes—
292#2297C2212yes—
293#2296C2212yes—
294#2295C2211yescharacteristic
295#2290C2212yes—
296C2×#387C2214yes—
297#2275C2212yes—
298C42×D4C2211yescharacteristic
299C42×D4C2211yescharacteristic
300C2×C4×C4⋊C4C2212yes—
301C22×#41C2312yes—
302C22×#41C2311yescharacteristic
303C22×#41C2311yescharacteristic
304C22×#41C2312yes—
305C22×#41C2312yes—
306C22×#41C2312yes—
307C22×#41C2312yes—
308C23×Q8C2311yescharacteristic
309#559—28no—
310#559—216no—
311#557—28no—
312#557—28no—
313#556—28no—
314#556—216no—
315#553—216no—
316#553—232no—
317#553—232no—
318#553—216no—
319#550—28no—
320#550—216no—
321#550—216no—
322#550D4116yescomplemented
323#548—216no—
324#547—216no—
325#547—28no—
326#547—216no—
327#547—28no—
328#540—216no—
329#540—232no—
330#532—216no—
331#532—28no—
332#532—216no—
333#532—28no—
334C2×C4⋊Q8C2311yescharacteristic
335C2×C4⋊Q8C2311yescharacteristic
336C2×C4⋊Q8C2312yes—
337C2×C4⋊Q8C2311yescharacteristic
338C2×C4⋊Q8C2312yes—
339C2×C4⋊Q8C2312yes—
340C2×C4⋊Q8C2312yes—
341C2×#127C2312yes—
342C2×#127C2314yes—
343C2×#127C2311yescharacteristic
344C2×#127C2312yes—
345#529—216no—
346#529—232no—
347#529—216no—
348#529—28no—
349C2×#126C2312yes—
350C2×#126C2314yes—
351C2×#126C2314yes—
352C2×#126C2314yes—
353C2×#126C2314yes—
354C2×#125C2312yes—
355C2×#125C2311yescharacteristic
356C2×#125C2314yes—
357C2×#125C2312yes—
358C2×#125C2314yes—
359C2×#124C2312yes—
360C2×#124C2311yescharacteristic
361C2×#124C2314yes—
362C2×#124C2312yes—
363C2×#124C2312yes—
364C2×#124C2312yes—
365C2×#124C2312yes—
366C2×#124C2311yescharacteristic
367C2×#123C2314yes—
368C2×#123C2314yes—
369C2×#123C2312yes—
370C2×#123C2312yes—
371C2×#123C2314yes—
372C2×#123C2314yes—
373C2×#123C2314yes—
374C2×#123C2314yes—
375C2×#123C2314yes—
376C2×#123C2312yes—
377C2×#123C2314yes—
378C2×#123C2314yes—
379C2×#123C2314yes—
380C2×C22⋊Q8C2314yes—
381C2×C22⋊Q8C2312yes—
382C2×C22⋊Q8C2312yes—
383C2×C22⋊Q8C2312yes—
384C2×C22⋊Q8C2311yescharacteristic
385C2×C22⋊Q8C2311yescharacteristic
386C2×C22⋊Q8C2312yes—
387C2×C22⋊Q8C2312yes—
388C2×C22⋊Q8C2312yes—
389C2×C22⋊Q8C2312yes—
390C2×C22⋊Q8C2311yescharacteristic
391C2×C22⋊Q8C2311yescharacteristic
392C2×#121C2314yes—
393C2×#121C2312yes—
394C2×#121C2312yes—
395C2×#121C2312yes—
396C2×#121C2312yes—
397C2×#121C2312yes—
398C2×#121C2312yes—
399C2×#121C2314yes—
400C2×#121C2314yes—
401C2×#121C2314yes—
402C2×#121C2314yes—
403C2×#121C2311yescharacteristic
404C2×#121C2312yes—
405C2×#121C2314yes—
406C2×#121C2314yes—
407C2×#121C2314yes—
408C2×#121C2314yes—
409C2×#121C2311yescharacteristic
410C2×#121C2312yes—
411C2×#121C2314yes—
412C2×#121C2312yes—
413#520—216no—
414C4×#41—216no—
415C4×#41—28no—
416C4×#41—216no—
417C4×#41—28no—
418C2×C4×Q8—28no—
419C2×C4×Q8C2311yescharacteristic
420C2×C4×Q8C2311yescharacteristic
421C2×C4×Q8C2312yes—
422C2×C4×Q8C2312yes—
423C2×C4×Q8C2312yes—
424C2×C4×Q8C2311yescharacteristic
425C2×C4×Q8C2311yescharacteristic
426C2×C4×Q8C2312yes—
427C2×C4×Q8C2312yes—
428C2×C4×Q8C2311yescharacteristic
429C2×C4×Q8C2311yescharacteristic
430C2×C4×Q8C2311yescharacteristic
431C2×C4×Q8C2312yes—
432C2×C4×Q8C2312yes—
433C2×C4×Q8C2311yescharacteristic
434C2×C4×D4C2314yes—
435C2×C4×D4C2314yes—
436C2×C4×D4C2314yes—
437C2×C4×D4C2312yes—
438C2×C4×D4C2311yescharacteristic
439C2×C4×D4C2311yescharacteristic
440C2×C4×D4C2312yes—
441C2×C4×D4C2312yes—
442C2×C4×D4C2312yes—
443C2×C4×D4C2312yes—
444C2×C4×D4C2311yescharacteristic
445C2×C4×D4C2314yes—
446C2×C4×D4C2314yes—
447C2×C4×D4C2312yes—
448C2×C4×D4C2312yes—
449C2×C4×D4C2312yes—
450C2×C4×D4C2312yes—
451C2×C4×D4C2311yescharacteristic
452C2×C4×D4C2312yes—
453C2×C4×D4C2312yes—
454C2×C4×D4C2314yes—
455C2×C4×D4C2314yes—
456C2×C4×D4C2312yes—
457C2×C4×D4C2312yes—
458C2×C4×D4C2312yes—
459C2×C4×D4C2314yes—
460C2×C4×D4C2314yes—
461C2×C4×D4C2311yescharacteristic
462C2×C4×D4C2312yes—
463C2×C4×D4C2312yes—
464C2×C4×D4C2312yes—
465C2×C4×D4C2311yescharacteristic
466C2×C4×D4C2312yes—
467C2×C4×D4C2314yes—
468C2×C4×D4C2311yescharacteristic
469C2×C4×D4C2311yescharacteristic
470C2×C4×D4C2311yescharacteristic
471C2×C4×D4C2312yes—
472C2×#117C2312yes—
473C2×#117C2312yes—
474C2×#117C2314yes—
475C2×#117C2312yes—
476C2×#117C2314yes—
477C2×#117C2311yescharacteristic
478C2×#117C2311yescharacteristic
479C2×#117C2314yes—
480C2×#117C2312yes—
481C2×#117C2312yes—
482C22×C4⋊C4C2314yes—
483C22×C4⋊C4C2312yes—
484C22×C4⋊C4C2314yes—
485C22×C4⋊C4C2312yes—
486C22×C4⋊C4C2311yescharacteristic
487C22×C4⋊C4C2312yes—
488C22×C4⋊C4C2312yes—
489C22×C42C2312yes—
490C22×C42C2314yes—
491C22×C42C2312yes—
492C22×C42C2312yes—
493C22×C42C2311yescharacteristic
494C22×C42C2311yescharacteristic
495C22×C42C2312yes—
496#400C2314yes—
497#400C2314yes—
498#400C2314yes—
499#400C2314yes—
500#400C2314yes—
501#400C2314yes—
502#400C2312yes—
503#400C2312yes—
504#400C2312yes—
505#399C2314yes—
506#399C2312yes—
507#399C2314yes—
508#399C2314yes—
509#398C2314yes—
510#398C2314yes—
511#398C2314yes—
512#398C2314yes—
513#398C2314yes—
514#398C2314yes—
515#398C2314yes—
516#398C2314yes—
517#398C2312yes—
518#398C2312yes—
519#398C2314yes—
520#398C2314yes—
521#398C2314yes—
522#397C2314yes—
523#397C2314yes—
524#397C2314yes—
525#397C2314yes—
526#397C2314yes—
527#397C2314yes—
528#397C2312yes—
529#397C2314yes—
530#397C2314yes—
531#397C2314yes—
532#397C2314yes—
533#397C2312yes—
534#397C2314yes—
535#397C2314yes—
536#397C2314yes—
537#397C2314yes—
538#397C2314yes—
539#397C2314yes—
540#397C2314yes—
541#396C2312yes—
542#396C2312yes—
543#396C2314yes—
544#395C2314yes—
545#395C2314yes—
546#395C2312yes—
547#394C2314yes—
548#394C2314yes—
549#394C2314yes—
550#394C2314yes—
551#394C2314yes—
552#394C2314yes—
553#394C2314yes—
554#394C2314yes—
555#394C2314yes—
556#394C2314yes—
557#394C2312yes—
558#394C2312yes—
559#394C2314yes—
560#394C2314yes—
561#394C2314yes—
562#394C2314yes—
563#394C2314yes—
564#394C2314yes—
565#394C2314yes—
566#394C2314yes—
567#394C2314yes—
568#393C2312yes—
569#393C2312yes—
570#393C2312yes—
571#392C2314yes—
572#392C2314yes—
573#392C2314yes—
574#391C2311yescharacteristic
575#391C2311yescharacteristic
576#391C2312yes—
577#391C2312yes—
578#391C2312yes—
579#391C2312yes—
580#391C2312yes—
581#391C2312yes—
582#391C2311yescharacteristic
583#391C2312yes—
584#391C2312yes—
585#391C2312yes—
586#391C2311yescharacteristic
587#391C2312yes—
588#391C2312yes—
589#391C2312yes—
590#391C2312yes—
591#391C2311yescharacteristic
592#391C2311yescharacteristic
593#391C2311yescharacteristic
594#391C2312yes—
595#391C2311yescharacteristic
596#390C2312yes—
597#390C2312yes—
598#390C2312yes—
599#390C2312yes—
600#390C2312yes—
601#390C2314yes—
602#390C2312yes—
603#390C2312yes—
604#390C2312yes—
605#390C2311yescharacteristic
606#390C2311yescharacteristic
607#390C2312yes—
608#390C2312yes—
609#390C2314yes—
610#389C2312yes—
611#389C2312yes—
612#389C2314yes—
613#389C2314yes—
614#389C2311yescharacteristic
615#389C2314yes—
616#389C2312yes—
617#389C2312yes—
618#389C2312yes—
619#389C2312yes—
620#389C2312yes—
621#389C2314yes—
622#389C2314yes—
623#389C2311yescharacteristic
624#389C2312yes—
625#389C2314yes—
626#389C2314yes—
627#389C2311yescharacteristic
628#389C2312yes—
629#389C2312yes—
630#389C2312yes—
631#389C2312yes—
632#389C2312yes—
633#389C2312yes—
634#389C2314yes—
635#389C2311yescharacteristic
636#389C2312yes—
637#389C2311yescharacteristic
638#389C2314yes—
639#389C2311yescharacteristic
640#388C2312yes—
641#388C2314yes—
642#388C2314yes—
643#388C2314yes—
644#388C2312yes—
645#388C2314yes—
646#388C2314yes—
647#388C2312yes—
648#388C2312yes—
649#388C2314yes—
650#388C2314yes—
651#388C2312yes—
652#388C2314yes—
653#388C2314yes—
654#388C2314yes—
655#388C2312yes—
656#388C2312yes—
657#388C2312yes—
658#388C2312yes—
659#388C2312yes—
660#388C2312yes—
661#388C2312yes—
662#388C2312yes—
663#387C2312yes—
664#387C2314yes—
665#387C2314yes—
666#387C2314yes—
667#387C2314yes—
668#387C2314yes—
669#387C2314yes—
670#387C2314yes—
671#387C2314yes—
672#387C2314yes—
673#387C2314yes—
674#387C2314yes—
675#387C2312yes—
676#387C2314yes—
677#387C2314yes—
678#387C2314yes—
679#387C2314yes—
680#387C2314yes—
681#387C2314yes—
682#387C2312yes—
683#387C2312yes—
684#387C2312yes—
685#387C2312yes—
686#387C2314yes—
687#387C2312yes—
688#387C2312yes—
689#387C2312yes—
690#387C2314yes—
691#387C2312yes—
692#387C2312yes—
693#387C2314yes—
694#386C2314yes—
695#386C2314yes—
696#386C2314yes—
697#386C2312yes—
698#386C2314yes—
699#386C2314yes—
700#386C2314yes—
701#386C2314yes—
702#386C2314yes—
703#386C2314yes—
704#386C2314yes—
705#386C2314yes—
706#386C2314yes—
707#386C2314yes—
708#386C2314yes—
709#386C2312yes—
710#386C2312yes—
711#386C2312yes—
712#386C2312yes—
713#386C2314yes—
714#386C2314yes—
715#386C2314yes—
716#386C2312yes—
717#386C2312yes—
718#386C2312yes—
719#386C2314yes—
720#386C2314yes—
721#386C2314yes—
722#386C2312yes—
723#386C2314yes—
724#386C2314yes—
725#386C2314yes—
726#385C2314yes—
727#385C2314yes—
728#385C2312yes—
729#385C2314yes—
730#385C2314yes—
731#385C2314yes—
732#385C2314yes—
733#385C2314yes—
734#385C2314yes—
735#385C2314yes—
736#385C2314yes—
737#385C2314yes—
738#385C2314yes—
739#385C2314yes—
740#385C2314yes—
741#385C2314yes—
742#385C2314yes—
743#385C2312yes—
744#385C2312yes—
745#385C2314yes—
746#385C2314yes—
747#385C2314yes—
748#385C2312yes—
749#385C2312yes—
750#385C2312yes—
751#385C2314yes—
752#385C2314yes—
753#385C2312yes—
754#384C2311yescharacteristic
755#384C2311yescharacteristic
756#384C2312yes—
757#384C2314yes—
758#382C2312yes—
759#382C2312yes—
760#382C2311yescharacteristic
761#382C2312yes—
762#382C2312yes—
763#381C2314yes—
764#381C2314yes—
765#381C2312yes—
766#381C2312yes—
767#381C2314yes—
768#381C2314yes—
769#381C2314yes—
770#381C2314yes—
771#381C2314yes—
772#381C2314yes—
773#380C2314yes—
774#380C2314yes—
775#380C2312yes—
776#380C2314yes—
777#380C2311yescharacteristic
778#380C2311yescharacteristic
779#380C2312yes—
780#380C2312yes—
781#380C2312yes—
782#380C2311yescharacteristic
783#380C2312yes—
784#380C2314yes—
785#380C2314yes—
786#380C2312yes—
787#380C2312yes—
788#380C2314yes—
789#380C2314yes—
790#380C2311yescharacteristic
791#380C2312yes—
792C4×C4⋊C4C2312yes—
793C4×C4⋊C4C2312yes—
794C4×C4⋊C4C2312yes—
795C4×C4⋊C4C2311yescharacteristic
796C4×C4⋊C4C2312yes—
797C4×C4⋊C4C2311yescharacteristic
798C4×C4⋊C4C2312yes—
799C4×C4⋊C4C2314yes—
800C4×C4⋊C4C2312yes—
801C4×C4⋊C4C2311yescharacteristic
802C4×C4⋊C4C2312yes—
803C4×C4⋊C4C2312yes—
804C4×C4⋊C4C2312yes—
805C4×C4⋊C4C2311yescharacteristic
806C4×C4⋊C4C2312yes—
807C4×C4⋊C4C2311yescharacteristic
808C4×C4⋊C4C2312yes—
809C4×C4⋊C4C2314yes—
810C4×C4⋊C4C2311yescharacteristic
811C4×C4⋊C4C2312yes—
812C4×C4⋊C4C2314yes—
813C4×C4⋊C4C2311yescharacteristic
814C4×C4⋊C4C2312yes—
815C4×C22⋊C4C2314yes—
816C4×C22⋊C4C2314yes—
817C4×C22⋊C4C2312yes—
818C4×C22⋊C4C2314yes—
819C4×C22⋊C4C2311yescharacteristic
820C4×C22⋊C4C2311yescharacteristic
821C4×C22⋊C4C2312yes—
822C4×C22⋊C4C2311yescharacteristic
823C4×C22⋊C4C2312yes—
824C4×C22⋊C4C2312yes—
825C4×C22⋊C4C2312yes—
826C4×C22⋊C4C2314yes—
827C4×C22⋊C4C2314yes—
828C4×C22⋊C4C2311yescharacteristic
829C4×C22⋊C4C2311yescharacteristic
830C4×C22⋊C4C2314yes—
831C4×C22⋊C4C2314yes—
832C4×C22⋊C4C2314yes—
833C4×C22⋊C4C2314yes—
834C4×C22⋊C4C2312yes—
835C4×C22⋊C4C2312yes—
836C4×C22⋊C4C2312yes—
837C4×C22⋊C4C2312yes—
838C4×C22⋊C4C2311yescharacteristic
839#376C2312yes—
840C2×#95C2314yes—
841C2×#95C2314yes—
842C2×#95C2314yes—
843C2×#95C2314yes—
844C2×#95C2312yes—
845C2×#95C2312yes—
846C43C2311yescharacteristic
847C2×#41—24no—
848C2×#41—28no—
849C2×#41—24no—
850C2×#41—28no—
851C2×#41—24no—
852C2×#41—28no—
853C2×#41—28no—
854C2×#41—28no—
855C2×#41—24no—
856C2×#41—28no—
857C2×#41—44no—
858C2×#41—44no—
859C2×#41—44no—
860C2×#41—42no—
861C2×#41—42no—
862C2×#41—44no—
863C2×#41—44no—
864C2×#41—44no—
865C2×#41—44no—
866C2×#41—44no—
867C2×#41C2×D4116yes—
868C22×Q8—24no—
869C22×Q8—42no—
870C22×Q8—42no—
871C22×Q8C2411yescharacteristic
872C22×Q8C2411yescharacteristic
873C22×Q8C2412yes—
874C22×Q8C2412yes—
875C22×Q8C2411yescharacteristic
876C22×Q8C2411yescharacteristic
877C22×Q8C2412yes—
878C22×D4C2411yescharacteristic
879C22×D4C2411yescharacteristic
880C22×D4C2414yes—
881C22×D4C2412yes—
882C22×D4C2414yes—
883C22×D4C2412yes—
884C22×D4C2411yescharacteristic
885C22×D4C2412yes—
886C22×D4C2412yes—
887C22×D4C2414yes—
888C22×D4C2412yes—
889C22×D4C2412yes—
890C22×D4C2414yes—
891C22×D4C2414yes—
892C22×D4C2412yes—
893C22×D4C2414yes—
894C22×D4C2414yes—
895C23×C4C2412yes—
896C23×C4C2411yescharacteristic
897C23×C4C2411yescharacteristic
898C23×C4C2411yescharacteristic
899C23×C4C2414yes—
900C23×C4C2412yes—
901C23×C4C2412yes—
902C23×C4C2414yes—
903C23×C4C2412yes—
904C23×C4C2412yes—
905C23×C4C2411yescharacteristic
906C23×C4C2411yescharacteristic
907C23×C4C2412yes—
908C23×C4C2412yes—
909C23×C4C2414yes—
910C23×C4C2414yes—
911C23×C4C2414yes—
912C23×C4C2412yes—
913C23×C4C2412yes—
914C23×C4C2414yes—
915C23×C4C2411yescharacteristic
916C23×C4C2414yes—
917C23×C4C2412yes—
918C23×C4C2414yes—
919C4⋊Q8—28no—
920C4⋊Q8—24no—
921C4⋊Q8—28no—
922C4⋊Q8—24no—
923C4⋊Q8—24no—
924C4⋊Q8—28no—
925C4⋊Q8—44no—
926#127—28no—
927#127—216no—
928#127C2×D418yes—
929#127C2×D4116yes—
930#126—28no—
931#126—216no—
932#126—216no—
933#126—216no—
934#126—216no—
935#125—24no—
936#125—28no—
937#125—216no—
938#125—216no—
939#125—28no—
940#124—24no—
941#124—28no—
942#124—28no—
943#124—216no—
944#124—28no—
945#124—28no—
946#124—28no—
947#124—42no—
948#123—216no—
949#123—216no—
950#123—216no—
951#123—216no—
952#123—216no—
953#123—216no—
954#123—28no—
955#123—28no—
956#123—216no—
957#123—216no—
958#123—216no—
959#123—28no—
960#123—48no—
961C22⋊Q8—24no—
962C22⋊Q8—28no—
963C22⋊Q8—28no—
964C22⋊Q8—216no—
965C22⋊Q8—28no—
966C22⋊Q8—24no—
967C22⋊Q8—42no—
968C22⋊Q8—44no—
969C22⋊Q8—44no—
970C22⋊Q8—44no—
971C22⋊Q8—44no—
972C22⋊Q8#4118yescomplemented
973#121—28no—
974#121—216no—
975#121—28no—
976#121—216no—
977#121—28no—
978#121—216no—
979#121—28no—
980#121—216no—
981#121—28no—
982#121—216no—
983#121—216no—
984#121—28no—
985#121—216no—
986#121—24no—
987#121—216no—
988#121—28no—
989#121—216no—
990#121—44no—
991#121—42no—
992#121C2×D4116yes—
993#121C2×D4132yes—
994C4×Q8—24no—
995C4×Q8—28no—
996C4×Q8—24no—
997C4×Q8—28no—
998C4×Q8—24no—
999C4×Q8—24no—
1000C4×Q8—28no—
1001C4×Q8—28no—
1002C4×Q8—24no—
1003C4×Q8—28no—
1004C4×Q8—24no—
1005C4×Q8—24no—
1006C4×Q8—28no—
1007C4×Q8—28no—
1008C4×Q8C2×D418yes—
1009C4×D4—28no—
1010C4×D4—216no—
1011C4×D4—24no—
1012C4×D4—28no—
1013C4×D4—216no—
1014C4×D4—24no—
1015C4×D4—28no—
1016C4×D4—28no—
1017C4×D4—28no—
1018C4×D4—216no—
1019C4×D4—28no—
1020C4×D4—216no—
1021C4×D4—28no—
1022C4×D4—28no—
1023C4×D4—28no—
1024C4×D4—216no—
1025C4×D4—216no—
1026C4×D4—216no—
1027C4×D4—24no—
1028C4×D4—28no—
1029C4×D4—24no—
1030C4×D4—28no—
1031C4×D4—28no—
1032C4×D4—216no—
1033C4×D4—28no—
1034C4×D4—216no—
1035C4×D4—24no—
1036C4×D4—28no—
1037C4×D4—44no—
1038C4×D4—44no—
1039C4×D4—42no—
1040C4×D4—42no—
1041C4×D4—44no—
1042C4×D4—44no—
1043C4×D4—42no—
1044C4×D4—48no—
1045C4×D4C2×D418yes—
1046C4×D4C2×D4116yes—
1047#117—28no—
1048#117—216no—
1049#117—24no—
1050#117—24no—
1051#117—216no—
1052#117—28no—
1053#117—28no—
1054#117—216no—
1055#117—28no—
1056#117—44no—
1057C2×C4⋊C4—216no—
1058C2×C4⋊C4—24no—
1059C2×C4⋊C4—28no—
1060C2×C4⋊C4—28no—
1061C2×C4⋊C4—28no—
1062C2×C4⋊C4—216no—
1063C2×C4⋊C4—44no—
1064C2×C4⋊C4C2412yes—
1065C2×C4⋊C4C2412yes—
1066C2×C4⋊C4C2414yes—
1067C2×C4⋊C4C2411yescharacteristic
1068C2×C4⋊C4C2411yescharacteristic
1069C2×C4⋊C4C2412yes—
1070C2×C4⋊C4C2411yescharacteristic
1071C2×C4⋊C4C2412yes—
1072C2×C4⋊C4C2412yes—
1073C2×C4⋊C4C2414yes—
1074C2×C4⋊C4C2412yes—
1075C2×C4⋊C4C2412yes—
1076C2×C4⋊C4C2412yes—
1077C2×C4⋊C4C2412yes—
1078C2×C4⋊C4C2414yes—
1079C2×C4⋊C4C2412yes—
1080C2×C4⋊C4C2414yes—
1081C2×C4⋊C4C2412yes—
1082C2×C4⋊C4C2412yes—
1083C2×C4⋊C4C2411yescharacteristic
1084C2×C4⋊C4C2411yescharacteristic
1085C2×C4⋊C4C2411yescharacteristic
1086C2×C4⋊C4C2412yes—
1087C2×C4⋊C4C2412yes—
1088C2×C4⋊C4C2414yes—
1089C2×C4⋊C4C2412yes—
1090C2×C4⋊C4C2414yes—
1091C2×C4⋊C4C2412yes—
1092C2×C4⋊C4C2414yes—
1093C2×C4⋊C4C2412yes—
1094C2×C4⋊C4C2411yescharacteristic
1095C2×C4⋊C4C2412yes—
1096C2×C4⋊C4C2411yescharacteristic
1097C2×C4⋊C4C2412yes—
1098C2×C4⋊C4C2412yes—
1099C2×C4⋊C4C2414yes—
1100C2×C4⋊C4C2412yes—
1101C2×C4⋊C4C2414yes—
1102C2×C4⋊C4C2411yescharacteristic
1103C2×C4⋊C4C2412yes—
1104C2×C4⋊C4C2414yes—
1105C2×C4⋊C4C2414yes—
1106C2×C4⋊C4C2412yes—
1107C2×C4⋊C4C2412yes—
1108C2×C4⋊C4C2412yes—
1109C2×C4⋊C4C2411yescharacteristic
1110C2×C4⋊C4C2412yes—
1111C2×C4⋊C4C2414yes—
1112C2×C4⋊C4C2412yes—
1113C2×C4⋊C4C2414yes—
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⋊C4C2412yes—
1128C2×C22⋊C4C2412yes—
1129C2×C22⋊C4C2412yes—
1130C2×C22⋊C4C2412yes—
1131C2×C22⋊C4C2414yes—
1132C2×C22⋊C4C2412yes—
1133C2×C22⋊C4C2414yes—
1134C2×C22⋊C4C2414yes—
1135C2×C22⋊C4C2414yes—
1136C2×C22⋊C4C2412yes—
1137C2×C22⋊C4C2414yes—
1138C2×C22⋊C4C2414yes—
1139C2×C22⋊C4C2412yes—
1140C2×C22⋊C4C2414yes—
1141C2×C22⋊C4C2414yes—
1142C2×C22⋊C4C2412yes—
1143C2×C22⋊C4C2414yes—
1144C2×C22⋊C4C2412yes—
1145C2×C22⋊C4C2414yes—
1146C2×C22⋊C4C2414yes—
1147C2×C22⋊C4C2414yes—
1148C2×C22⋊C4C2411yescharacteristic
1149C2×C22⋊C4C2412yes—
1150C2×C22⋊C4C2414yes—
1151C2×C22⋊C4C2412yes—
1152C2×C22⋊C4C2411yescharacteristic
1153C2×C22⋊C4C2412yes—
1154C2×C22⋊C4C2414yes—
1155C2×C22⋊C4C2412yes—
1156C2×C22⋊C4C2412yes—
1157C2×C22⋊C4C2414yes—
1158C2×C22⋊C4C2412yes—
1159C2×C22⋊C4C2414yes—
1160C2×C22⋊C4C2411yescharacteristic
1161C2×C22⋊C4C2411yescharacteristic
1162C2×C22⋊C4C2411yescharacteristic
1163C2×C22⋊C4C2411yescharacteristic
1164C2×C22⋊C4C2414yes—
1165C2×C22⋊C4C2414yes—
1166C2×C22⋊C4C2414yes—
1167C2×C22⋊C4C2412yes—
1168C2×C22⋊C4C2412yes—
1169C2×C22⋊C4C2414yes—
1170C2×C22⋊C4C2414yes—
1171C2×C22⋊C4C2414yes—
1172C2×C22⋊C4C2412yes—
1173C2×C22⋊C4C2414yes—
1174C2×C22⋊C4C2414yes—
1175C2×C22⋊C4C2412yes—
1176C2×C22⋊C4C2412yes—
1177C2×C22⋊C4C2412yes—
1178C2×C22⋊C4C2412yes—
1179C2×C22⋊C4C2412yes—
1180C2×C22⋊C4C2412yes—
1181C2×C22⋊C4C2414yes—
1182C2×C22⋊C4C2414yes—
1183C2×C22⋊C4C2412yes—
1184C2×C22⋊C4C2412yes—
1185C2×C42—28no—
1186C2×C42—216no—
1187C2×C42—28no—
1188C2×C42—24no—
1189C2×C42—28no—
1190C2×C42—24no—
1191C2×C42—44no—
1192C2×C42C2412yes—
1193C2×C42C2411yescharacteristic
1194C2×C42C2412yes—
1195C2×C42C2411yescharacteristic
1196C2×C42C2412yes—
1197C2×C42C2411yescharacteristic
1198C2×C42C2412yes—
1199C2×C42C2412yes—
1200C2×C42C2414yes—
1201C2×C42C2414yes—
1202C2×C42C2411yescharacteristic
1203C2×C42C2411yescharacteristic
1204C2×C42C2412yes—
1205C2×C42C2414yes—
1206C2×C42C2412yes—
1207C2×C42C2411yescharacteristic
1208C2×C42C2412yes—
1209C2×C42C2411yescharacteristic
1210C2×C42C2411yescharacteristic
1211C2×C42C2412yes—
1212C2×C42C2411yescharacteristic
1213C2×C42C2412yes—
1214C2×C42C2412yes—
1215C2×C42C2411yescharacteristic
1216C2×C42C2411yescharacteristic
1217C2×C42C2414yes—
1218C2×C42C2414yes—
1219C2×C42C2411yescharacteristic
1220C2×C42C2412yes—
1221C2×C42C2412yes—
1222C2×C42C2412yes—
1223C2×C42C2411yescharacteristic
1224#95C2411yescharacteristic
1225#95C2412yes—
1226#95C2412yes—
1227#95C2411yescharacteristic
1228#95C2411yescharacteristic
1229#95C2412yes—
1230#95C2412yes—
1231#95C2412yes—
1232#95C2412yes—
1233#95C2414yes—
1234#95C2414yes—
1235#95C2414yes—
1236#95C2414yes—
1237#95C2414yes—
1238#95C2412yes—
1239#95C2412yes—
1240#95C2412yes—
1241#95C2412yes—
1242#95C2412yes—
1243#95C2412yes—
1244#95C2414yes—
1245#95C2414yes—
1246#95C2414yes—
1247#95C2414yes—
1248#95C2412yes—
1249#95C2412yes—
1250#95C2412yes—
1251#95C2411yescharacteristic
1252#95C2411yescharacteristic
1253#95C2412yes—
1254#95C2412yes—
1255#95C2411yescharacteristic
1256#95C2412yes—
1257#95C2412yes—
1258#95C2412yes—
1259#95C2412yes—
1260#95C2412yes—
1261#95C2412yes—
1262#95C2414yes—
1263#95C2414yes—
1264#95C2412yes—
1265#95C2414yes—
1266#95C2412yes—
1267#95C2412yes—
1268#95C2412yes—
1269#95C2414yes—
1270#95C2414yes—
1271#95C2414yes—
1272#95C2412yes—
1273#95C2414yes—
1274#95C2412yes—
1275#95C2412yes—
1276#95C2414yes—
1277#95C2412yes—
1278#95C2414yes—
1279#95C2414yes—
1280#95C2412yes—
1281#95C2414yes—
1282#95C2414yes—
1283#95C2414yes—
1284#95C2414yes—
1285#95C2414yes—
1286C24C2512yes—
1287C24C2511yescharacteristic
1288C24C2514yes—
1289C24C2512yes—
1290C24C2511yescharacteristic
1291#41—432no—
1292#41—416no—
1293#41—432no—
1294#41—416no—
1295#41—432no—
1296#41—816no—
1297#41—816no—
1298C2×Q8—22no—
1299C2×Q8—24no—
1300C2×Q8—22no—
1301C2×Q8—22no—
1302C2×Q8—24no—
1303C2×Q8—24no—
1304C2×Q8—24no—
1305C2×Q8—22no—
1306C2×Q8—22no—
1307C2×Q8—22no—
1308C2×Q8—22no—
1309C2×Q8—24no—
1310C2×Q8—22no—
1311C2×Q8—22no—
1312C2×Q8—24no—
1313C2×Q8—22no—
1314C2×Q8—24no—
1315C2×Q8—42no—
1316C2×Q8—42no—
1317C2×Q8—416no—
1318C2×Q8C22×D414yes—
1319C2×Q8C2×#4114yes—
1320C2×D4—24no—
1321C2×D4—28no—
1322C2×D4—24no—
1323C2×D4—28no—
1324C2×D4—22no—
1325C2×D4—24no—
1326C2×D4—28no—
1327C2×D4—28no—
1328C2×D4—28no—
1329C2×D4—28no—
1330C2×D4—24no—
1331C2×D4—22no—
1332C2×D4—24no—
1333C2×D4—22no—
1334C2×D4—24no—
1335C2×D4—24no—
1336C2×D4—28no—
1337C2×D4—24no—
1338C2×D4—22no—
1339C2×D4—24no—
1340C2×D4—24no—
1341C2×D4—22no—
1342C2×D4—22no—
1343C2×D4—22no—
1344C2×D4—41no—
1345C2×D4—42no—
1346C2×D4—44no—
1347C2×D4—42no—
1348C2×D4—44no—
1349C2×D4—44no—
1350C2×D4—42no—
1351C2×D4—44no—
1352C2×D4—44no—
1353C2×D4—44no—
1354C2×D4—42no—
1355C2×D4—42no—
1356C2×D4—42no—
1357C2×D4—42no—
1358C2×D4—44no—
1359C2×D4—42no—
1360C2×D4—44no—
1361C2×D4—44no—
1362C2×D4—44no—
1363C2×D4—44no—
1364C2×D4—44no—
1365C2×D4C22×D418yes—
1366C2×D4C22×D414yes—
1367C2×D4C22×D418yes—
1368C2×D4C22×D418yes—
1369C2×D4C22×D4116yes—
1370C2×D4C22×D4116yes—
1371C22×C4—22no—
1372C22×C4—24no—
1373C22×C4—24no—
1374C22×C4—22no—
1375C22×C4—24no—
1376C22×C4—28no—
1377C22×C4—24no—
1378C22×C4—28no—
1379C22×C4—24no—
1380C22×C4—28no—
1381C22×C4—24no—
1382C22×C4—28no—
1383C22×C4—24no—
1384C22×C4—22no—
1385C22×C4—22no—
1386C22×C4—22no—
1387C22×C4—24no—
1388C22×C4—24no—
1389C22×C4—28no—
1390C22×C4—24no—
1391C22×C4—24no—
1392C22×C4—28no—
1393C22×C4—24no—
1394C22×C4—22no—
1395C22×C4—24no—
1396C22×C4—22no—
1397C22×C4—22no—
1398C22×C4—22no—
1399C22×C4—24no—
1400C22×C4—22no—
1401C22×C4—22no—
1402C22×C4—24no—
1403C22×C4—22no—
1404C22×C4—22no—
1405C22×C4—28no—
1406C22×C4—28no—
1407C22×C4—42no—
1408C22×C4—42no—
1409C22×C4—42no—
1410C22×C4—44no—
1411C22×C4—44no—
1412C22×C4—44no—
1413C22×C4—42no—
1414C22×C4—44no—
1415C22×C4—42no—
1416C22×C4—42no—
1417C22×C4—42no—
1418C22×C4—42no—
1419C22×C4—44no—
1420C22×C4—41no—
1421C22×C4—41no—
1422C22×C4—44no—
1423C22×C4—42no—
1424C22×C4—42no—
1425C22×C4—44no—
1426C22×C4—41no—
1427C22×C4—41no—
1428C22×C4—42no—
1429C22×C4—42no—
1430C22×C4—42no—
1431C22×C4—44no—
1432C22×C4—42no—
1433C22×C4—44no—
1434C22×C4—44no—
1435C22×C4—44no—
1436C22×C4—44no—
1437C22×C4—44no—
1438C22×C4—44no—
1439C22×C4—44no—
1440C22×C4C22×D418yes—
1441C22×C4C22×D4116yes—
1442C22×C4C2×#4114yes—
1443C22×C4C2511yescharacteristic
1444C22×C4C2511yescharacteristic
1445C22×C4C2512yes—
1446C22×C4C2512yes—
1447C22×C4C2511yescharacteristic
1448C22×C4C2512yes—
1449C22×C4C2514yes—
1450C22×C4C2511yescharacteristic
1451C22×C4C2514yes—
1452C22×C4C2511yescharacteristic
1453C22×C4C2512yes—
1454C22×C4C2512yes—
1455C22×C4C2511yescharacteristic
1456C22×C4C2512yes—
1457C22×C4C2511yescharacteristic
1458C22×C4C2511yescharacteristic
1459C22×C4C2512yes—
1460C22×C4C2512yes—
1461C22×C4C2514yes—
1462C22×C4C2512yes—
1463C22×C4C2512yes—
1464C22×C4C2512yes—
1465C22×C4C2512yes—
1466C22×C4C2511yescharacteristic
1467C22×C4C2511yescharacteristic
1468C22×C4C2512yes—
1469C22×C4C2512yes—
1470C22×C4C2511yescharacteristic
1471C22×C4C2511yescharacteristic
1472C22×C4C2511yescharacteristic
1473C4⋊C4—24no—
1474C4⋊C4—24no—
1475C4⋊C4—28no—
1476C4⋊C4—24no—
1477C4⋊C4—22no—
1478C4⋊C4—28no—
1479C4⋊C4—24no—
1480C4⋊C4—24no—
1481C4⋊C4—24no—
1482C4⋊C4—24no—
1483C4⋊C4—24no—
1484C4⋊C4—22no—
1485C4⋊C4—24no—
1486C4⋊C4—22no—
1487C4⋊C4—28no—
1488C4⋊C4—24no—
1489C4⋊C4—24no—
1490C4⋊C4—28no—
1491C4⋊C4—28no—
1492C4⋊C4—24no—
1493C4⋊C4—22no—
1494C4⋊C4—24no—
1495C4⋊C4—28no—
1496C4⋊C4—24no—
1497C4⋊C4—28no—
1498C4⋊C4—24no—
1499C4⋊C4—28no—
1500C4⋊C4—22no—
1501C4⋊C4—24no—
1502C4⋊C4—24no—
1503C4⋊C4—28no—
1504C4⋊C4—24no—
1505C4⋊C4—28no—
1506C4⋊C4—28no—
1507C4⋊C4—24no—
1508C4⋊C4—22no—
1509C4⋊C4—24no—
1510C4⋊C4—22no—
1511C4⋊C4—24no—
1512C4⋊C4—24no—
1513C4⋊C4—22no—
1514C4⋊C4—22no—
1515C4⋊C4—24no—
1516C4⋊C4—42no—
1517C4⋊C4—42no—
1518C4⋊C4—42no—
1519C4⋊C4—42no—
1520C4⋊C4—42no—
1521C4⋊C4—41no—
1522C4⋊C4—42no—
1523C4⋊C4—42no—
1524C4⋊C4—44no—
1525C4⋊C4—44no—
1526C4⋊C4—44no—
1527C4⋊C4—44no—
1528C4⋊C4—44no—
1529C4⋊C4—44no—
1530C4⋊C4—44no—
1531C4⋊C4C22×D414yes—
1532C4⋊C4C22×D414yes—
1533C4⋊C4C22×D418yes—
1534C4⋊C4C2×#4118yes—
1535C4⋊C4C2×#4114yes—
1536C22⋊C4—24no—
1537C22⋊C4—28no—
1538C22⋊C4—28no—
1539C22⋊C4—28no—
1540C22⋊C4—28no—
1541C22⋊C4—24no—
1542C22⋊C4—28no—
1543C22⋊C4—28no—
1544C22⋊C4—28no—
1545C22⋊C4—28no—
1546C22⋊C4—28no—
1547C22⋊C4—28no—
1548C22⋊C4—28no—
1549C22⋊C4—22no—
1550C22⋊C4—24no—
1551C22⋊C4—24no—
1552C22⋊C4—24no—
1553C22⋊C4—24no—
1554C22⋊C4—24no—
1555C22⋊C4—24no—
1556C22⋊C4—24no—
1557C22⋊C4—24no—
1558C22⋊C4—24no—
1559C22⋊C4—28no—
1560C22⋊C4—22no—
1561C22⋊C4—24no—
1562C22⋊C4—24no—
1563C22⋊C4—28no—
1564C22⋊C4—28no—
1565C22⋊C4—24no—
1566C22⋊C4—42no—
1567C22⋊C4—44no—
1568C22⋊C4—42no—
1569C22⋊C4—42no—
1570C22⋊C4—42no—
1571C22⋊C4—44no—
1572C22⋊C4—41no—
1573C22⋊C4—41no—
1574C22⋊C4—44no—
1575C22⋊C4—44no—
1576C22⋊C4—44no—
1577C22⋊C4—42no—
1578C22⋊C4—41no—
1579C22⋊C4—41no—
1580C22⋊C4—44no—
1581C22⋊C4—42no—
1582C22⋊C4—42no—
1583C22⋊C4—42no—
1584C22⋊C4—44no—
1585C22⋊C4—44no—
1586C22⋊C4—44no—
1587C22⋊C4—44no—
1588C22⋊C4—44no—
1589C22⋊C4—42no—
1590C22⋊C4—42no—
1591C22⋊C4C22×D4116yes—
1592C22⋊C4C22×D418yes—
1593C22⋊C4C2×#4118yes—
1594C42—24no—
1595C42—24no—
1596C42—22no—
1597C42—22no—
1598C42—24no—
1599C42—22no—
1600C42—24no—
1601C42—22no—
1602C42—24no—
1603C42—22no—
1604C42—24no—
1605C42—28no—
1606C42—28no—
1607C42—24no—
1608C42—24no—
1609C42—22no—
1610C42—24no—
1611C42—28no—
1612C42—22no—
1613C42—24no—
1614C42—22no—
1615C42—24no—
1616C42—22no—
1617C42—22no—
1618C42—22no—
1619C42—42no—
1620C42—42no—
1621C42—41no—
1622C42—44no—
1623C42—44no—
1624C42C22×D414yes—
1625C42C22×D418yes—
1626C23—21no—
1627C23—22no—
1628C23—24no—
1629C23—24no—
1630C23—21no—
1631C23—22no—
1632C23—22no—
1633C23—21no—
1634C23—24no—
1635C23—24no—
1636C23—21no—
1637C23—24no—
1638C23—22no—
1639C23—22no—
1640C23—21no—
1641C23—21no—
1642C23—24no—
1643C23—22no—
1644C23—21no—
1645C23—22no—
1646C23—21no—
1647C23—22no—
1648C23—22no—
1649C23—22no—
1650C23—21no—
1651C23—21no—
1652C23—21no—
1653C23—22no—
1654C23—21no—
1655C23—22no—
1656C23—21no—
1657C23—22no—
1658C23C23×D414yes—
1659C23C23×D418yes—
1660C23C22×#4112yes—
1661C23C2611yescharacteristic
1662Q8—28no—
1663Q8—28no—
1664Q8—48no—
1665Q8—44no—
1666Q8—48no—
1667Q8—44no—
1668Q8—48no—
1669D4—28no—
1670D4—216no—
1671D4—216no—
1672D4—48no—
1673D4—416no—
1674D4—416no—
1675D4—44no—
1676D4—48no—
1677D4—416no—
1678D4—48no—
1679D4—416no—
1680D4—44no—
1681D4—84no—
1682D4—88no—
1683D4—84no—
1684D4—88no—
1685D4—88no—
1686C2×C4—21no—
1687C2×C4—22no—
1688C2×C4—21no—
1689C2×C4—21no—
1690C2×C4—22no—
1691C2×C4—21no—
1692C2×C4—22no—
1693C2×C4—22no—
1694C2×C4—22no—
1695C2×C4—22no—
1696C2×C4—21no—
1697C2×C4—22no—
1698C2×C4—22no—
1699C2×C4—22no—
1700C2×C4—21no—
1701C2×C4—22no—
1702C2×C4—28no—
1703C2×C4—216no—
1704C2×C4—21no—
1705C2×C4—21no—
1706C2×C4—22no—
1707C2×C4—22no—
1708C2×C4—21no—
1709C2×C4—21no—
1710C2×C4—22no—
1711C2×C4—22no—
1712C2×C4—24no—
1713C2×C4—22no—
1714C2×C4—21no—
1715C2×C4—24no—
1716C2×C4—22no—
1717C2×C4—21no—
1718C2×C4—22no—
1719C2×C4—22no—
1720C2×C4—21no—
1721C2×C4—22no—
1722C2×C4—22no—
1723C2×C4—24no—
1724C2×C4—21no—
1725C2×C4—22no—
1726C2×C4—21no—
1727C2×C4—21no—
1728C2×C4—21no—
1729C2×C4—21no—
1730C2×C4—21no—
1731C2×C4—22no—
1732C2×C4—24no—
1733C2×C4—24no—
1734C2×C4—22no—
1735C2×C4—24no—
1736C2×C4—22no—
1737C2×C4—22no—
1738C2×C4—22no—
1739C2×C4—21no—
1740C2×C4—22no—
1741C2×C4—22no—
1742C2×C4—24no—
1743C2×C4—22no—
1744C2×C4—21no—
1745C2×C4—21no—
1746C2×C4—21no—
1747C2×C4—24no—
1748C2×C4—22no—
1749C2×C4—21no—
1750C2×C4—22no—
1751C2×C4—21no—
1752C2×C4—22no—
1753C2×C4—21no—
1754C2×C4—24no—
1755C2×C4—21no—
1756C2×C4—21no—
1757C2×C4—22no—
1758C2×C4—22no—
1759C2×C4—21no—
1760C2×C4—22no—
1761C2×C4—22no—
1762C2×C4—22no—
1763C2×C4—21no—
1764C2×C4—416no—
1765C2×C4—48no—
1766C2×C4—48no—
1767C2×C4—416no—
1768C2×C4—48no—
1769C2×C4—416no—
1770C2×C4—48no—
1771C2×C4—44no—
1772C2×C4—48no—
1773C2×C4—44no—
1774C2×C4—44no—
1775C2×C4—82no—
1776C2×C4—82no—
1777C2×C4—84no—
1778C2×C4—88no—
1779C2×C4—88no—
1780C2×C4—84no—
1781C2×C4—88no—
1782C2×C4—84no—
1783C2×C4—88no—
1784C2×C4—84no—
1785C2×C4—164no—
1786C2×C4C23×D414yes—
1787C2×C4C23×D414yes—
1788C2×C4C23×D414yes—
1789C2×C4C23×D412yes—
1790C2×C4C23×D412yes—
1791C2×C4C23×D412yes—
1792C2×C4C22×#4114yes—
1793C2×C4C22×#4112yes—
1794C2×C4C22×#4114yes—
1795C2×C4C22×#4112yes—
1796C2×C4#58512yes—
1797C2×C4#58512yes—
1798C2×C4#58512yes—
1799C2×C4#58512yes—
1800C22—24no—
1801C22—28no—
1802C22—22no—
1803C22—24no—
1804C22—28no—
1805C22—22no—
1806C22—22no—
1807C22—24no—
1808C22—28no—
1809C22—41no—
1810C22—42no—
1811C22—44no—
1812C22—41no—
1813C22—44no—
1814C22—41no—
1815C22—42no—
1816C22—42no—
1817C22—44no—
1818C22—42no—
1819C22—41no—
1820C22—44no—
1821C22—41no—
1822C22—42no—
1823C22—41no—
1824C22—42no—
1825C22—41no—
1826C22—42no—
1827C22—42no—
1828C22—41no—
1829C22—41no—
1830C22—42no—
1831C22—41no—
1832C22—42no—
1833C22—41no—
1834C22—42no—
1835C22C24×D411yescharacteristic
1836C22C23×#4111yescharacteristic
1837C22C2×#58511yescharacteristic
1838C22C2×#58511yescharacteristic
1839C22C2×#58511yescharacteristic
1840C22C2×#58511yescharacteristic
1841C222−1+611yescharacteristic
1842C4—22no—
1843C4—24no—
1844C4—24no—
1845C4—24no—
1846C4—22no—
1847C4—24no—
1848C4—22no—
1849C4—24no—
1850C4—41no—
1851C4—42no—
1852C4—42no—
1853C4—41no—
1854C4—42no—
1855C4—41no—
1856C4—42no—
1857C4—41no—
1858C4—41no—
1859C4—42no—
1860C4—44no—
1861C4—44no—
1862C4—41no—
1863C4—42no—
1864C4—41no—
1865C4—42no—
1866C4—44no—
1867C4—42no—
1868C4—42no—
1869C4—41no—
1870C4D4×#4114yes—
1871C4#348514yes—
1872C2—44no—
1873C2—48no—
1874C2—42no—
1875C2—81no—
1876C2—82no—
1877C2C2×D4×#4111yescharacteristic
1878C2C2×#348511yescharacteristic
1879C2#6281611yescharacteristic
1880C2#6296711yescharacteristic
1881C2#6298811yescharacteristic
1882C2#6300711yescharacteristic
1883C2#6303611yescharacteristic
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×#3517C2semidirect
2. C2×#3480C2semidirect
3. #59770C2semidirect
4. #59411C2semidirect
5. #59121C2semidirect
6. #59101C2semidirect
7. #59066C2semidirect
8. #59066C2semidirect
9. #59064C2semidirect
10. #59063C2semidirect
11. #45141C2semidirect
12. #45100C2semidirect
13. #44456C2semidirect
14. #43542C2semidirect
15. #39956C2semidirect
16. #39864C2semidirect
17. #39170C2semidirect
18. #39139C2semidirect
19. #37742C2semidirect
20. #37700C2semidirect
21. #36545C2semidirect
22. #36436C2semidirect
23. #36406C2semidirect
24. #36405C2semidirect
25. #36404C2semidirect
26. #36217C2semidirect
27. #36149C2semidirect
28. #36116C2semidirect
29. #35856C2semidirect
30. #35846C2semidirect
31. #34744C2semidirect
32. #34708C2semidirect
33. #34330C2semidirect
34. #34289C2semidirect
35. C4×#547C2semidirect
322. #550D4semidirect
972. C22⋊Q8#41semidirect

Maximal subgroups

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

subgroupindex
C2×#35172
C2×#34802
#597702
#594112
#591212
#591012
#590662
#590642
#590632
#451412
#451002
#444562
#435422
#399562
#398642
#391702
#391392
#377422
#377002
#365452
#364362
#364062
#364052
#364042
#362172
#361492
#361162
#358562
#358462
#347442
#347082
#343302
#342892
C4×#5472