Finite Group Databasebeta

← #7690014

Subgroups — #7690014

Order 512.

7223 conjugacy classes of subgroups.

The subgroup lattice has 1892 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3518C211yesmaximal, characteristic, complemented
2C2×#3483C211yesmaximal, characteristic, complemented
3#59832C211yesmaximal, characteristic, complemented
4#59810C212yesmaximal, complemented
5#59146C214yesmaximal, complemented
6#59115C212yesmaximal, complemented
7#59101C212yesmaximal, complemented
8#59093C212yesmaximal, complemented
9#59084C211yesmaximal, characteristic, complemented
10#59081C211yesmaximal, characteristic, complemented
11#45241C212yesmaximal, complemented
12#44891C212yesmaximal, complemented
13#44762C214yesmaximal, complemented
14#44679C214yesmaximal, complemented
15#39963C212yesmaximal, complemented
16#39891C212yesmaximal, complemented
17#39363C211yesmaximal, characteristic, complemented
18#38909C211yesmaximal, characteristic, complemented
19#37810C214yesmaximal, complemented
20#37794C212yesmaximal, complemented
21#36443C212yesmaximal, complemented
22#36443C212yesmaximal, complemented
23#36419C211yesmaximal, characteristic, complemented
24#36410C211yesmaximal, characteristic, complemented
25#36405C211yesmaximal, characteristic, complemented
26#36274C211yesmaximal, characteristic, complemented
27#36150C211yesmaximal, characteristic, complemented
28#36139C212yesmaximal, complemented
29#36077C212yesmaximal, complemented
30#36028C212yesmaximal, complemented
31#34745C212yesmaximal, complemented
32#34724C211yesmaximal, characteristic, complemented
33#34321C211yesmaximal, characteristic, complemented
34#34268C212yesmaximal, complemented
35C4×#547C211yesmaximal, characteristic, complemented
36#3518—216no—
37#3483—216no—
38C2×Q82C2211yescharacteristic
39C2×Q82C2211yescharacteristic
40C2×#556C2214yes—
41C2×#556C2212yes—
42C2×#556C2211yescharacteristic
43C2×#556C2212yes—
44C2×#555C2212yes—
45C2×#555C2212yes—
46C2×#555C2214yes—
47C2×#555C2212yes—
48C2×#555C2211yescharacteristic
49C2×#550C2211yescharacteristic
50C2×#550C2212yes—
51C2×#550C2212yes—
52C2×#550C2211yescharacteristic
53C2×D4×Q8C2211yescharacteristic
54C2×#548C2212yes—
55C2×#547C2211yescharacteristic
56C2×#542C2212yes—
57C2×#542C2214yes—
58C2×#536C2212yes—
59C2×#533C2211yescharacteristic
60C2×#533C2212yes—
61C2×#532C2214yes—
62C2×#532C2212yes—
63C2×#532C2211yescharacteristic
64C2×#532C2212yes—
65C2×#529C2212yes—
66C2×#529C2211yescharacteristic
67C2×#519C2212yes—
68C2×C4×#41C2211yescharacteristic
69C2×C4×#41C2211yescharacteristic
70C2×C4×#41C2212yes—
71C2×C4×#41C2212yes—
72C2×C4×#41C2211yescharacteristic
73#2858C2211yescharacteristic
74#2857C2211yescharacteristic
75#2856C2211yescharacteristic
76#2855C2212yes—
77#2855C2212yes—
78#2854C2212yes—
79#2852C2214yes—
80#2850C2212yes—
81#2734C2214yes—
82#2731C2214yes—
83#2729C2214yes—
84#2715C2214yes—
85#2712C2214yes—
86#2709C2214yes—
87#2701C2214yes—
88#2700C2214yes—
89#2691C2214yes—
90#2691C2214yes—
91#2686C2214yes—
92#2686C2214yes—
93#2682C2214yes—
94#2681C2214yes—
95#2681C2214yes—
96#2681C2214yes—
97#2676C2214yes—
98#2674C2214yes—
99#2673C2214yes—
100#2672C2214yes—
101#2671C2214yes—
102#2662C2214yes—
103#2632C2214yes—
104#2624C2212yes—
105#2620C2212yes—
106#2601C2214yes—
107#2601C2214yes—
108#2599C2214yes—
109#2599C2214yes—
110#2592C2214yes—
111#2582C2211yescharacteristic
112#2582C2211yescharacteristic
113#2568C2211yescharacteristic
114#2559C2214yes—
115#2559C2214yes—
116#2559C2214yes—
117#2555C2214yes—
118#2551C2212yes—
119#2551C2212yes—
120#2550C2212yes—
121#2548C2211yescharacteristic
122#2548C2211yescharacteristic
123#2546C2214yes—
124#2546C2211yescharacteristic
125#2545C2214yes—
126#2544C2214yes—
127#2544C2212yes—
128#2544C2212yes—
129#2544C2212yes—
130#2543C2214yes—
131#2540C2212yes—
132#2521C2214yes—
133#2500C2212yes—
134#2492C2212yes—
135#2491C2212yes—
136#2491C2212yes—
137#2491C2214yes—
138#2490C2212yes—
139#2485C2212yes—
140#2478C2214yes—
141#2478C2212yes—
142#2476C2214yes—
143#2476C2214yes—
144#2476C2214yes—
145#2474C2214yes—
146#2474C2214yes—
147#2470C2212yes—
148#2468C2214yes—
149#2468C2214yes—
150#2468C2214yes—
151#2466C2212yes—
152#2466C2214yes—
153#2466C2214yes—
154#2464C2214yes—
155#2461C2214yes—
156#2461C2214yes—
157#2459C2214yes—
158#2459C2214yes—
159#2455C2212yes—
160#2454C2212yes—
161#2454C2212yes—
162#2453C2211yescharacteristic
163#2453C2212yes—
164#2452C2212yes—
165#2452C2212yes—
166#2452C2212yes—
167#2452C2212yes—
168#2451C2212yes—
169#2451C2212yes—
170#2451C2212yes—
171#2451C2212yes—
172#2451C2212yes—
173#2451C2212yes—
174#2450C2214yes—
175#2450C2214yes—
176#2450C2214yes—
177#2449C2214yes—
178#2449C2214yes—
179#2448C2212yes—
180#2447C2211yescharacteristic
181#2447C2212yes—
182#2446C2214yes—
183#2445C2214yes—
184#2445C2212yes—
185#2445C2212yes—
186#2445C2212yes—
187#2444C2214yes—
188#2443C2214yes—
189#2441C2211yescharacteristic
190#2439C2212yes—
191#2439C2212yes—
192#2438C2214yes—
193#2436C2212yes—
194#2432C2214yes—
195#2432C2214yes—
196#2432C2212yes—
197#2432C2212yes—
198#2432C2212yes—
199#2432C2211yescharacteristic
200#2431C2212yes—
201#2430C2214yes—
202#2429C2211yescharacteristic
203#2429C2212yes—
204#2428C2212yes—
205#2427C2212yes—
206#2427C2212yes—
207#2426C2212yes—
208#2426C2212yes—
209#2426C2212yes—
210#2426C2212yes—
211#2425C2214yes—
212#2422C2211yescharacteristic
213#2417C2212yes—
214#2416C2212yes—
215#2415C2211yescharacteristic
216#2415C2212yes—
217#2414C2212yes—
218#2414C2212yes—
219#2409C2212yes—
220#2407C2212yes—
221#2407C2212yes—
222#2407C2212yes—
223#2407C2211yescharacteristic
224#2406C2214yes—
225#2396C2214yes—
226#2396C2214yes—
227#2395C2212yes—
228#2392C2212yes—
229#2369C2211yescharacteristic
230#2367C2214yes—
231#2367C2212yes—
232#2367C2212yes—
233#2367C2212yes—
234#2367C2212yes—
235#2367C2212yes—
236#2367C2212yes—
237#2365C2212yes—
238#2365C2212yes—
239#2365C2212yes—
240#2365C2211yescharacteristic
241#2365C2212yes—
242#2363C2212yes—
243#2363C2212yes—
244#2363C2212yes—
245#2362C2212yes—
246#2362C2211yescharacteristic
247#2362C2212yes—
248#2362C2211yescharacteristic
249#2361C2212yes—
250#2361C2212yes—
251#2359C2212yes—
252#2359C2214yes—
253#2359C2214yes—
254#2359C2212yes—
255#2359C2214yes—
256#2359C2214yes—
257#2354C2211yescharacteristic
258#2354C2211yescharacteristic
259#2349C2212yes—
260D4×C4⋊C4C2211yescharacteristic
261D4×C4⋊C4C2211yescharacteristic
262#2347C2212yes—
263#2347C2212yes—
264#2344C2212yes—
265#2341C2212yes—
266#2339C2214yes—
267#2339C2211yescharacteristic
268#2339C2211yescharacteristic
269#2339C2212yes—
270#2337C2214yes—
271#2324C2212yes—
272#2323C2214yes—
273#2323C2214yes—
274#2311C2212yes—
275C4×C4⋊Q8C2211yescharacteristic
276C4×C4⋊Q8C2211yescharacteristic
277C4×C4⋊Q8C2211yescharacteristic
278C4×C22⋊Q8C2214yes—
279C4×C22⋊Q8C2214yes—
280C4×C22⋊Q8C2211yescharacteristic
281C4×C22⋊Q8C2211yescharacteristic
282C4×C22⋊Q8C2211yescharacteristic
283C4×C22⋊Q8C2211yescharacteristic
284C4×C22⋊Q8C2214yes—
285C4×#123C2212yes—
286C4×#123C2212yes—
287C4×#123C2212yes—
288C4×#121C2212yes—
289C4×#121C2212yes—
290#2297C2212yes—
291#2297C2212yes—
292#2296C2212yes—
293#2296C2212yes—
294#2296C2212yes—
295C2×#391C2212yes—
296#2293C2211yescharacteristic
297#2274C2212yes—
298C42×D4C2211yescharacteristic
299C42×D4C2211yescharacteristic
300C2×C4×C4⋊C4C2212yes—
301C22×#41C2312yes—
302C22×#41C2311yescharacteristic
303C22×#41C2311yescharacteristic
304C22×#41C2311yescharacteristic
305C22×#41C2312yes—
306C22×#41C2314yes—
307C22×#41C2312yes—
308C23×Q8C2312yes—
309Q82—28no—
310Q82—28no—
311#556—232no—
312#556—28no—
313#556—216no—
314#556—216no—
315#555—232no—
316#555—216no—
317#555—216no—
318#555—216no—
319#555D4116yescomplemented
320#550—216no—
321#550—216no—
322#550—28no—
323#550—28no—
324D4×Q8—28no—
325#548—216no—
326#547—28no—
327#542—232no—
328#542—216no—
329#536—216no—
330#533—28no—
331#533—216no—
332#532—28no—
333#532—232no—
334#532—216no—
335#532—216no—
336C2×C4⋊Q8C2311yescharacteristic
337C2×C4⋊Q8C2311yescharacteristic
338C2×C4⋊Q8C2312yes—
339C2×C4⋊Q8C2312yes—
340C2×C4⋊Q8C2314yes—
341C2×C4⋊Q8C2312yes—
342C2×C4⋊Q8C2312yes—
343C2×C4⋊Q8C2312yes—
344C2×C4⋊Q8C2314yes—
345C2×C4⋊Q8C2312yes—
346C2×C4⋊Q8C2314yes—
347C2×C4⋊Q8C2311yescharacteristic
348C2×C4⋊Q8C2311yescharacteristic
349C2×#127C2311yescharacteristic
350C2×#127C2314yes—
351C2×#127C2312yes—
352C2×#127C2312yes—
353#529—216no—
354#529—28no—
355C2×#126C2314yes—
356C2×#126C2312yes—
357C2×#126C2314yes—
358C2×#126C2314yes—
359C2×#126C2314yes—
360C2×#125C2311yescharacteristic
361C2×#125C2312yes—
362C2×#124C2314yes—
363C2×#124C2312yes—
364C2×#124C2312yes—
365C2×#124C2311yescharacteristic
366C2×#124C2314yes—
367C2×#124C2312yes—
368C2×#124C2314yes—
369C2×#124C2314yes—
370C2×#124C2314yes—
371C2×#124C2312yes—
372C2×#124C2314yes—
373C2×#124C2312yes—
374C2×#124C2312yes—
375C2×#124C2314yes—
376C2×#124C2314yes—
377C2×#123C2314yes—
378C2×#123C2314yes—
379C2×#123C2312yes—
380C2×#123C2312yes—
381C2×#123C2314yes—
382C2×#123C2312yes—
383C2×#123C2312yes—
384C2×#123C2314yes—
385C2×C22⋊Q8C2314yes—
386C2×C22⋊Q8C2314yes—
387C2×C22⋊Q8C2312yes—
388C2×C22⋊Q8C2312yes—
389C2×C22⋊Q8C2311yescharacteristic
390C2×C22⋊Q8C2311yescharacteristic
391C2×C22⋊Q8C2311yescharacteristic
392C2×C22⋊Q8C2312yes—
393C2×C22⋊Q8C2311yescharacteristic
394C2×C22⋊Q8C2314yes—
395C2×C22⋊Q8C2314yes—
396C2×C22⋊Q8C2312yes—
397C2×C22⋊Q8C2314yes—
398C2×C22⋊Q8C2312yes—
399C2×C22⋊Q8C2311yescharacteristic
400C2×C22⋊Q8C2314yes—
401C2×#121C2312yes—
402C2×#121C2312yes—
403C2×#121C2312yes—
404C2×#121C2311yescharacteristic
405C2×#121C2312yes—
406C2×#121C2314yes—
407C2×#121C2314yes—
408C2×#121C2314yes—
409C2×#121C2314yes—
410C2×#121C2312yes—
411C2×#121C2314yes—
412C2×#121C2314yes—
413C2×#121C2314yes—
414C2×#121C2312yes—
415C2×#121C2312yes—
416C2×#121C2312yes—
417C2×#121C2314yes—
418C2×#121C2312yes—
419C2×#121C2312yes—
420#519—216no—
421C4×#41—28no—
422C4×#41—28no—
423C4×#41—28no—
424C4×#41—216no—
425C4×#41—216no—
426C2×C4×Q8C2311yescharacteristic
427C2×C4×Q8C2311yescharacteristic
428C2×C4×Q8C2311yescharacteristic
429C2×C4×Q8C2311yescharacteristic
430C2×C4×Q8C2314yes—
431C2×C4×Q8C2314yes—
432C2×C4×Q8C2312yes—
433C2×C4×Q8C2314yes—
434C2×C4×Q8C2311yescharacteristic
435C2×C4×Q8C2311yescharacteristic
436C2×C4×Q8C2312yes—
437C2×C4×Q8C2312yes—
438C2×C4×Q8C2312yes—
439C2×C4×Q8C2312yes—
440C2×C4×Q8C2312yes—
441C2×C4×Q8C2312yes—
442C2×C4×Q8C2311yescharacteristic
443C2×C4×Q8C2312yes—
444C2×C4×D4C2311yescharacteristic
445C2×C4×D4C2311yescharacteristic
446C2×C4×D4C2311yescharacteristic
447C2×C4×D4C2312yes—
448C2×C4×D4C2314yes—
449C2×C4×D4C2311yescharacteristic
450C2×C4×D4C2311yescharacteristic
451C2×C4×D4C2314yes—
452C2×C4×D4C2314yes—
453C2×C4×D4C2312yes—
454C2×C4×D4C2312yes—
455C2×C4×D4C2312yes—
456C2×C4×D4C2312yes—
457C2×C4×D4C2312yes—
458C2×C4×D4C2312yes—
459C2×C4×D4C2312yes—
460C2×C4×D4C2312yes—
461C2×C4×D4C2312yes—
462C2×C4×D4C2314yes—
463C2×C4×D4C2312yes—
464C2×C4×D4C2312yes—
465C2×C4×D4C2314yes—
466C2×C4×D4C2311yescharacteristic
467C2×C4×D4C2312yes—
468C2×C4×D4C2311yescharacteristic
469C2×C4×D4C2311yescharacteristic
470C2×C4×D4C2314yes—
471C2×C4×D4C2311yescharacteristic
472C2×C4×D4C2311yescharacteristic
473C2×#117C2312yes—
474C2×#117C2314yes—
475C2×#117C2312yes—
476C2×#117C2314yes—
477C2×#117C2312yes—
478C2×#117C2312yes—
479C2×#117C2311yescharacteristic
480C2×#117C2311yescharacteristic
481C2×#117C2314yes—
482C2×#117C2314yes—
483C2×#117C2312yes—
484C2×#117C2311yescharacteristic
485C2×#117C2312yes—
486C2×#117C2312yes—
487C2×#117C2312yes—
488C2×#117C2312yes—
489C2×#117C2312yes—
490C22×C4⋊C4C2312yes—
491C22×C4⋊C4C2312yes—
492C22×C4⋊C4C2312yes—
493C22×C42C2314yes—
494C22×C42C2312yes—
495C22×C42C2312yes—
496C22×C42C2312yes—
497C22×C42C2311yescharacteristic
498C22×C42C2311yescharacteristic
499C22×C42C2312yes—
500#400C2314yes—
501#400C2312yes—
502#400C2314yes—
503#399C2314yes—
504#399C2312yes—
505#399C2314yes—
506#398C2314yes—
507#398C2314yes—
508#398C2312yes—
509#398C2314yes—
510#398C2314yes—
511#398C2314yes—
512#398C2312yes—
513#398C2314yes—
514#398C2314yes—
515#398C2314yes—
516#397C2312yes—
517#397C2314yes—
518#397C2314yes—
519#397C2312yes—
520#397C2312yes—
521#397C2312yes—
522#397C2314yes—
523#397C2314yes—
524#396C2312yes—
525#396C2314yes—
526#396C2314yes—
527#396C2314yes—
528#396C2314yes—
529#396C2312yes—
530#396C2314yes—
531#396C2314yes—
532#396C2314yes—
533#396C2314yes—
534#395C2314yes—
535#395C2314yes—
536#395C2314yes—
537#395C2314yes—
538#395C2314yes—
539#395C2314yes—
540#394C2314yes—
541#394C2314yes—
542#394C2314yes—
543#394C2314yes—
544#394C2314yes—
545#394C2314yes—
546#394C2314yes—
547#394C2314yes—
548#394C2312yes—
549#394C2312yes—
550#394C2312yes—
551#394C2312yes—
552#394C2312yes—
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#393C2314yes—
568#393C2314yes—
569#393C2314yes—
570#393C2314yes—
571#393C2314yes—
572#393C2314yes—
573#392C2312yes—
574#392C2314yes—
575#392C2314yes—
576#392C2314yes—
577#392C2314yes—
578#391C2312yes—
579#391C2311yescharacteristic
580#391C2311yescharacteristic
581#391C2311yescharacteristic
582#391C2311yescharacteristic
583#391C2311yescharacteristic
584#391C2312yes—
585#391C2312yes—
586#391C2312yes—
587#391C2312yes—
588#391C2314yes—
589#391C2312yes—
590#391C2312yes—
591#391C2312yes—
592#391C2314yes—
593#391C2314yes—
594#391C2314yes—
595#391C2311yescharacteristic
596#391C2314yes—
597#391C2311yescharacteristic
598#391C2312yes—
599#391C2312yes—
600#391C2311yescharacteristic
601#391C2314yes—
602#391C2314yes—
603#390C2312yes—
604#390C2312yes—
605#390C2312yes—
606#390C2314yes—
607#390C2314yes—
608#390C2314yes—
609#390C2312yes—
610#390C2312yes—
611#390C2312yes—
612#390C2314yes—
613#390C2312yes—
614#390C2312yes—
615#390C2314yes—
616#390C2314yes—
617#390C2312yes—
618#390C2312yes—
619#390C2312yes—
620#390C2311yescharacteristic
621#390C2312yes—
622#390C2312yes—
623#390C2311yescharacteristic
624#390C2312yes—
625#390C2312yes—
626#389C2312yes—
627#389C2312yes—
628#389C2312yes—
629#389C2312yes—
630#389C2312yes—
631#389C2312yes—
632#389C2312yes—
633#389C2312yes—
634#389C2312yes—
635#389C2314yes—
636#389C2314yes—
637#389C2314yes—
638#389C2312yes—
639#389C2312yes—
640#389C2312yes—
641#389C2312yes—
642#389C2312yes—
643#389C2311yescharacteristic
644#389C2311yescharacteristic
645#389C2312yes—
646#389C2312yes—
647#389C2314yes—
648#389C2312yes—
649#389C2311yescharacteristic
650#389C2312yes—
651#389C2311yescharacteristic
652#389C2312yes—
653#389C2312yes—
654#389C2311yescharacteristic
655#389C2311yescharacteristic
656#389C2314yes—
657#389C2312yes—
658#389C2312yes—
659#388C2314yes—
660#388C2314yes—
661#388C2314yes—
662#388C2314yes—
663#388C2314yes—
664#388C2314yes—
665#388C2314yes—
666#388C2314yes—
667#388C2314yes—
668#388C2312yes—
669#388C2314yes—
670#388C2314yes—
671#388C2312yes—
672#388C2314yes—
673#388C2314yes—
674#388C2314yes—
675#388C2312yes—
676#388C2312yes—
677#388C2314yes—
678#388C2314yes—
679#388C2314yes—
680#388C2314yes—
681#388C2314yes—
682#388C2312yes—
683#388C2312yes—
684#388C2312yes—
685#388C2314yes—
686#388C2314yes—
687#388C2314yes—
688#388C2312yes—
689#388C2312yes—
690#388C2314yes—
691#388C2312yes—
692#387C2312yes—
693#387C2314yes—
694#387C2314yes—
695#387C2314yes—
696#387C2314yes—
697#387C2314yes—
698#387C2314yes—
699#387C2312yes—
700#387C2312yes—
701#387C2312yes—
702#387C2314yes—
703#387C2314yes—
704#387C2314yes—
705#387C2314yes—
706#387C2312yes—
707#387C2312yes—
708#387C2312yes—
709#387C2314yes—
710#387C2314yes—
711#387C2312yes—
712#387C2312yes—
713#387C2312yes—
714#386C2314yes—
715#386C2314yes—
716#386C2314yes—
717#386C2314yes—
718#386C2314yes—
719#386C2314yes—
720#386C2314yes—
721#386C2312yes—
722#386C2312yes—
723#386C2312yes—
724#386C2312yes—
725#386C2314yes—
726#386C2314yes—
727#386C2314yes—
728#386C2314yes—
729#386C2314yes—
730#386C2314yes—
731#386C2314yes—
732#386C2312yes—
733#386C2314yes—
734#386C2314yes—
735#386C2314yes—
736#386C2314yes—
737#386C2314yes—
738#385C2314yes—
739#385C2314yes—
740#385C2314yes—
741#385C2314yes—
742#385C2314yes—
743#385C2314yes—
744#385C2314yes—
745#385C2314yes—
746#385C2314yes—
747#385C2314yes—
748#385C2314yes—
749#385C2312yes—
750#385C2312yes—
751#385C2314yes—
752#385C2312yes—
753#385C2312yes—
754#385C2312yes—
755#385C2312yes—
756#385C2312yes—
757#385C2312yes—
758#385C2314yes—
759#385C2314yes—
760#385C2314yes—
761#385C2314yes—
762#385C2314yes—
763#385C2312yes—
764#385C2312yes—
765#385C2312yes—
766#384C2311yescharacteristic
767#384C2311yescharacteristic
768#384C2311yescharacteristic
769#383C2314yes—
770#382C2312yes—
771#381C2312yes—
772#381C2314yes—
773#381C2314yes—
774#381C2312yes—
775#381C2312yes—
776#380C2314yes—
777#380C2314yes—
778#380C2312yes—
779#380C2314yes—
780#380C2312yes—
781#380C2311yescharacteristic
782#380C2311yescharacteristic
783#380C2312yes—
784#380C2312yes—
785#380C2312yes—
786#380C2314yes—
787#380C2311yescharacteristic
788#380C2311yescharacteristic
789C4×C4⋊C4C2312yes—
790C4×C4⋊C4C2312yes—
791C4×C4⋊C4C2312yes—
792C4×C4⋊C4C2312yes—
793C4×C4⋊C4C2312yes—
794C4×C4⋊C4C2312yes—
795C4×C4⋊C4C2311yescharacteristic
796C4×C4⋊C4C2314yes—
797C4×C4⋊C4C2314yes—
798C4×C4⋊C4C2314yes—
799C4×C4⋊C4C2311yescharacteristic
800C4×C4⋊C4C2312yes—
801C4×C4⋊C4C2311yescharacteristic
802C4×C4⋊C4C2312yes—
803C4×C4⋊C4C2312yes—
804C4×C4⋊C4C2311yescharacteristic
805C4×C4⋊C4C2312yes—
806C4×C4⋊C4C2311yescharacteristic
807C4×C4⋊C4C2311yescharacteristic
808C4×C4⋊C4C2312yes—
809C4×C4⋊C4C2314yes—
810C4×C4⋊C4C2312yes—
811C4×C4⋊C4C2312yes—
812C4×C4⋊C4C2314yes—
813C4×C4⋊C4C2314yes—
814C4×C4⋊C4C2312yes—
815C4×C4⋊C4C2314yes—
816C4×C4⋊C4C2312yes—
817C4×C4⋊C4C2312yes—
818C4×C4⋊C4C2311yescharacteristic
819C4×C4⋊C4C2312yes—
820C4×C22⋊C4C2312yes—
821C4×C22⋊C4C2314yes—
822C4×C22⋊C4C2314yes—
823C4×C22⋊C4C2311yescharacteristic
824C4×C22⋊C4C2311yescharacteristic
825C4×C22⋊C4C2312yes—
826C4×C22⋊C4C2311yescharacteristic
827C4×C22⋊C4C2314yes—
828C4×C22⋊C4C2312yes—
829C4×C22⋊C4C2312yes—
830C4×C22⋊C4C2314yes—
831C4×C22⋊C4C2312yes—
832C4×C22⋊C4C2311yescharacteristic
833C4×C22⋊C4C2314yes—
834C4×C22⋊C4C2314yes—
835C4×C22⋊C4C2312yes—
836C4×C22⋊C4C2312yes—
837C4×C22⋊C4C2311yescharacteristic
838C4×C22⋊C4C2312yes—
839C4×C22⋊C4C2314yes—
840C4×C22⋊C4C2314yes—
841C4×C22⋊C4C2311yescharacteristic
842C2×#95C2312yes—
843C2×#95C2314yes—
844C2×#95C2314yes—
845C2×#95C2312yes—
846C43C2311yescharacteristic
847C2×#41—28no—
848C2×#41—28no—
849C2×#41—24no—
850C2×#41—24no—
851C2×#41—28no—
852C2×#41—24no—
853C2×#41—24no—
854C2×#41—24no—
855C2×#41—24no—
856C2×#41—216no—
857C2×#41—28no—
858C2×#41—28no—
859C2×#41—48no—
860C2×#41—44no—
861C2×#41—44no—
862C2×#41—44no—
863C2×#41—42no—
864C2×#41—42no—
865C2×#41—42no—
866C2×#41—84no—
867C2×#41—82no—
868C22×Q8—28no—
869C22×Q8—28no—
870C22×Q8—44no—
871C22×Q8C2411yescharacteristic
872C22×Q8C2412yes—
873C22×Q8C2414yes—
874C22×Q8C2411yescharacteristic
875C22×Q8C2411yescharacteristic
876C22×Q8C2411yescharacteristic
877C22×Q8C2414yes—
878C22×Q8C2414yes—
879C22×Q8C2412yes—
880C22×D4C2412yes—
881C22×D4C2412yes—
882C22×D4C2412yes—
883C22×D4C2412yes—
884C22×D4C2414yes—
885C22×D4C2412yes—
886C22×D4C2414yes—
887C22×D4C2411yescharacteristic
888C22×D4C2411yescharacteristic
889C22×D4C2411yescharacteristic
890C22×D4C2412yes—
891C22×D4C2414yes—
892C22×D4C2412yes—
893C22×D4C2414yes—
894C22×D4C2414yes—
895C22×D4C2414yes—
896C22×D4C2414yes—
897C23×C4C2411yescharacteristic
898C23×C4C2411yescharacteristic
899C23×C4C2411yescharacteristic
900C23×C4C2411yescharacteristic
901C23×C4C2412yes—
902C23×C4C2412yes—
903C23×C4C2412yes—
904C23×C4C2414yes—
905C23×C4C2414yes—
906C23×C4C2412yes—
907C23×C4C2414yes—
908C23×C4C2411yescharacteristic
909C23×C4C2414yes—
910C23×C4C2412yes—
911C23×C4C2412yes—
912C23×C4C2412yes—
913C23×C4C2412yes—
914C23×C4C2412yes—
915C23×C4C2411yescharacteristic
916C23×C4C2414yes—
917C23×C4C2412yes—
918C4⋊Q8—216no—
919C4⋊Q8—216no—
920C4⋊Q8—28no—
921C4⋊Q8—24no—
922C4⋊Q8—28no—
923C4⋊Q8—28no—
924C4⋊Q8—28no—
925C4⋊Q8—28no—
926C4⋊Q8—28no—
927C4⋊Q8—24no—
928C4⋊Q8—84no—
929C4⋊Q8C2×D418yes—
930C4⋊Q8#4118yescomplemented
931#127—216no—
932#127—28no—
933#127—28no—
934#127—24no—
935#126—28no—
936#126—216no—
937#126—216no—
938#126—216no—
939#126—216no—
940#125—28no—
941#125—24no—
942#124—28no—
943#124—28no—
944#124—24no—
945#124—28no—
946#124—216no—
947#124—216no—
948#124—216no—
949#124—216no—
950#124—216no—
951#124—216no—
952#124—28no—
953#124—44no—
954#124—44no—
955#124—84no—
956#124C2×D4132yes—
957#123—216no—
958#123—216no—
959#123—216no—
960#123—28no—
961#123—28no—
962#123—28no—
963#123—44no—
964#123—84no—
965C22⋊Q8—28no—
966C22⋊Q8—24no—
967C22⋊Q8—24no—
968C22⋊Q8—24no—
969C22⋊Q8—28no—
970C22⋊Q8—28no—
971C22⋊Q8—24no—
972C22⋊Q8—28no—
973C22⋊Q8—216no—
974C22⋊Q8—216no—
975C22⋊Q8—216no—
976C22⋊Q8—216no—
977C22⋊Q8—216no—
978C22⋊Q8—48no—
979C22⋊Q8—44no—
980C22⋊Q8—42no—
981#121—24no—
982#121—216no—
983#121—216no—
984#121—216no—
985#121—28no—
986#121—28no—
987#121—28no—
988#121—28no—
989#121—28no—
990#121—216no—
991#121—216no—
992#121—216no—
993#121—216no—
994#121—44no—
995#121—44no—
996#121—84no—
997#121—82no—
998#121C2×D4116yes—
999#121C2×D4116yes—
1000C4×Q8—28no—
1001C4×Q8—24no—
1002C4×Q8—24no—
1003C4×Q8—24no—
1004C4×Q8—28no—
1005C4×Q8—28no—
1006C4×Q8—28no—
1007C4×Q8—28no—
1008C4×Q8—28no—
1009C4×Q8—28no—
1010C4×Q8—24no—
1011C4×Q8—24no—
1012C4×Q8—24no—
1013C4×Q8—216no—
1014C4×Q8—216no—
1015C4×Q8—24no—
1016C4×Q8—216no—
1017C4×Q8—82no—
1018C4×D4—24no—
1019C4×D4—24no—
1020C4×D4—24no—
1021C4×D4—216no—
1022C4×D4—28no—
1023C4×D4—28no—
1024C4×D4—28no—
1025C4×D4—28no—
1026C4×D4—28no—
1027C4×D4—28no—
1028C4×D4—28no—
1029C4×D4—28no—
1030C4×D4—28no—
1031C4×D4—216no—
1032C4×D4—28no—
1033C4×D4—28no—
1034C4×D4—216no—
1035C4×D4—28no—
1036C4×D4—216no—
1037C4×D4—216no—
1038C4×D4—24no—
1039C4×D4—24no—
1040C4×D4—44no—
1041C4×D4—42no—
1042C4×D4—42no—
1043C4×D4—42no—
1044C4×D4—84no—
1045C4×D4C2×D418yes—
1046C4×D4C2×D418yes—
1047#117—28no—
1048#117—28no—
1049#117—24no—
1050#117—24no—
1051#117—24no—
1052#117—28no—
1053#117—28no—
1054#117—28no—
1055#117—28no—
1056#117—216no—
1057#117—216no—
1058#117—216no—
1059#117—216no—
1060#117—28no—
1061#117—44no—
1062#117C2×D4116yes—
1063#117C2×D4116yes—
1064C2×C4⋊C4—28no—
1065C2×C4⋊C4—44no—
1066C2×C4⋊C4—44no—
1067C2×C4⋊C4C2411yescharacteristic
1068C2×C4⋊C4C2411yescharacteristic
1069C2×C4⋊C4C2411yescharacteristic
1070C2×C4⋊C4C2412yes—
1071C2×C4⋊C4C2412yes—
1072C2×C4⋊C4C2412yes—
1073C2×C4⋊C4C2412yes—
1074C2×C4⋊C4C2412yes—
1075C2×C4⋊C4C2412yes—
1076C2×C4⋊C4C2412yes—
1077C2×C4⋊C4C2412yes—
1078C2×C4⋊C4C2411yescharacteristic
1079C2×C4⋊C4C2411yescharacteristic
1080C2×C4⋊C4C2411yescharacteristic
1081C2×C4⋊C4C2411yescharacteristic
1082C2×C4⋊C4C2412yes—
1083C2×C4⋊C4C2412yes—
1084C2×C4⋊C4C2414yes—
1085C2×C4⋊C4C2414yes—
1086C2×C4⋊C4C2411yescharacteristic
1087C2×C4⋊C4C2412yes—
1088C2×C4⋊C4C2412yes—
1089C2×C4⋊C4C2414yes—
1090C2×C4⋊C4C2412yes—
1091C2×C4⋊C4C2414yes—
1092C2×C4⋊C4C2412yes—
1093C2×C4⋊C4C2414yes—
1094C2×C4⋊C4C2412yes—
1095C2×C4⋊C4C2412yes—
1096C2×C4⋊C4C2414yes—
1097C2×C4⋊C4C2412yes—
1098C2×C4⋊C4C2411yescharacteristic
1099C2×C4⋊C4C2412yes—
1100C2×C4⋊C4C2414yes—
1101C2×C4⋊C4C2414yes—
1102C2×C4⋊C4C2412yes—
1103C2×C4⋊C4C2412yes—
1104C2×C4⋊C4C2414yes—
1105C2×C4⋊C4C2414yes—
1106C2×C4⋊C4C2411yescharacteristic
1107C2×C4⋊C4C2412yes—
1108C2×C4⋊C4C2412yes—
1109C2×C4⋊C4C2412yes—
1110C2×C4⋊C4C2414yes—
1111C2×C4⋊C4C2412yes—
1112C2×C4⋊C4C2412yes—
1113C2×C4⋊C4C2414yes—
1114C2×C4⋊C4C2411yescharacteristic
1115C2×C4⋊C4C2412yes—
1116C2×C4⋊C4C2414yes—
1117C2×C4⋊C4C2414yes—
1118C2×C4⋊C4C2412yes—
1119C2×C4⋊C4C2414yes—
1120C2×C4⋊C4C2412yes—
1121C2×C4⋊C4C2414yes—
1122C2×C4⋊C4C2412yes—
1123C2×C4⋊C4C2412yes—
1124C2×C4⋊C4C2412yes—
1125C2×C4⋊C4C2411yescharacteristic
1126C2×C4⋊C4C2411yescharacteristic
1127C2×C4⋊C4C2412yes—
1128C2×C4⋊C4C2412yes—
1129C2×C4⋊C4C2412yes—
1130C2×C4⋊C4C2412yes—
1131C2×C22⋊C4C2412yes—
1132C2×C22⋊C4C2412yes—
1133C2×C22⋊C4C2412yes—
1134C2×C22⋊C4C2412yes—
1135C2×C22⋊C4C2414yes—
1136C2×C22⋊C4C2412yes—
1137C2×C22⋊C4C2414yes—
1138C2×C22⋊C4C2414yes—
1139C2×C22⋊C4C2414yes—
1140C2×C22⋊C4C2412yes—
1141C2×C22⋊C4C2412yes—
1142C2×C22⋊C4C2412yes—
1143C2×C22⋊C4C2414yes—
1144C2×C22⋊C4C2414yes—
1145C2×C22⋊C4C2412yes—
1146C2×C22⋊C4C2412yes—
1147C2×C22⋊C4C2412yes—
1148C2×C22⋊C4C2414yes—
1149C2×C22⋊C4C2414yes—
1150C2×C22⋊C4C2412yes—
1151C2×C22⋊C4C2412yes—
1152C2×C22⋊C4C2411yescharacteristic
1153C2×C22⋊C4C2411yescharacteristic
1154C2×C22⋊C4C2411yescharacteristic
1155C2×C22⋊C4C2412yes—
1156C2×C22⋊C4C2412yes—
1157C2×C22⋊C4C2414yes—
1158C2×C22⋊C4C2414yes—
1159C2×C22⋊C4C2414yes—
1160C2×C22⋊C4C2414yes—
1161C2×C22⋊C4C2412yes—
1162C2×C22⋊C4C2414yes—
1163C2×C22⋊C4C2412yes—
1164C2×C22⋊C4C2414yes—
1165C2×C22⋊C4C2412yes—
1166C2×C22⋊C4C2411yescharacteristic
1167C2×C22⋊C4C2411yescharacteristic
1168C2×C22⋊C4C2411yescharacteristic
1169C2×C22⋊C4C2414yes—
1170C2×C22⋊C4C2412yes—
1171C2×C22⋊C4C2414yes—
1172C2×C22⋊C4C2414yes—
1173C2×C22⋊C4C2414yes—
1174C2×C22⋊C4C2414yes—
1175C2×C22⋊C4C2414yes—
1176C2×C22⋊C4C2414yes—
1177C2×C22⋊C4C2412yes—
1178C2×C22⋊C4C2414yes—
1179C2×C22⋊C4C2414yes—
1180C2×C22⋊C4C2412yes—
1181C2×C22⋊C4C2412yes—
1182C2×C22⋊C4C2412yes—
1183C2×C22⋊C4C2412yes—
1184C2×C22⋊C4C2414yes—
1185C2×C22⋊C4C2414yes—
1186C2×C22⋊C4C2414yes—
1187C2×C22⋊C4C2414yes—
1188C2×C22⋊C4C2414yes—
1189C2×C22⋊C4C2412yes—
1190C2×C22⋊C4C2412yes—
1191C2×C22⋊C4C2414yes—
1192C2×C42—28no—
1193C2×C42—28no—
1194C2×C42—28no—
1195C2×C42—24no—
1196C2×C42—216no—
1197C2×C42—24no—
1198C2×C42—44no—
1199C2×C42C2411yescharacteristic
1200C2×C42C2412yes—
1201C2×C42C2412yes—
1202C2×C42C2412yes—
1203C2×C42C2411yescharacteristic
1204C2×C42C2414yes—
1205C2×C42C2414yes—
1206C2×C42C2412yes—
1207C2×C42C2411yescharacteristic
1208C2×C42C2412yes—
1209C2×C42C2414yes—
1210C2×C42C2412yes—
1211C2×C42C2411yescharacteristic
1212C2×C42C2411yescharacteristic
1213C2×C42C2412yes—
1214C2×C42C2412yes—
1215C2×C42C2412yes—
1216C2×C42C2412yes—
1217C2×C42C2414yes—
1218C2×C42C2412yes—
1219C2×C42C2411yescharacteristic
1220C2×C42C2412yes—
1221C2×C42C2411yescharacteristic
1222C2×C42C2411yescharacteristic
1223C2×C42C2411yescharacteristic
1224C2×C42C2414yes—
1225C2×C42C2414yes—
1226C2×C42C2411yescharacteristic
1227C2×C42C2411yescharacteristic
1228C2×C42C2414yes—
1229C2×C42C2412yes—
1230C2×C42C2412yes—
1231C2×C42C2414yes—
1232C2×C42C2411yescharacteristic
1233C2×C42C2411yescharacteristic
1234#95C2412yes—
1235#95C2411yescharacteristic
1236#95C2411yescharacteristic
1237#95C2412yes—
1238#95C2414yes—
1239#95C2414yes—
1240#95C2414yes—
1241#95C2412yes—
1242#95C2412yes—
1243#95C2412yes—
1244#95C2412yes—
1245#95C2412yes—
1246#95C2414yes—
1247#95C2414yes—
1248#95C2414yes—
1249#95C2411yescharacteristic
1250#95C2412yes—
1251#95C2412yes—
1252#95C2412yes—
1253#95C2411yescharacteristic
1254#95C2411yescharacteristic
1255#95C2412yes—
1256#95C2411yescharacteristic
1257#95C2412yes—
1258#95C2412yes—
1259#95C2412yes—
1260#95C2412yes—
1261#95C2412yes—
1262#95C2414yes—
1263#95C2412yes—
1264#95C2414yes—
1265#95C2414yes—
1266#95C2412yes—
1267#95C2412yes—
1268#95C2412yes—
1269#95C2414yes—
1270#95C2414yes—
1271#95C2412yes—
1272#95C2412yes—
1273#95C2412yes—
1274#95C2414yes—
1275#95C2414yes—
1276#95C2414yes—
1277#95C2412yes—
1278#95C2412yes—
1279#95C2412yes—
1280#95C2412yes—
1281#95C2412yes—
1282#95C2414yes—
1283#95C2414yes—
1284#95C2412yes—
1285#95C2412yes—
1286#95C2414yes—
1287#95C2414yes—
1288#95C2414yes—
1289#95C2414yes—
1290C24C2511yescharacteristic
1291C24C2514yes—
1292C24C2511yescharacteristic
1293C24C2512yes—
1294C24C2512yes—
1295#41—432no—
1296#41—432no—
1297#41—416no—
1298#41—416no—
1299#41—416no—
1300#41—832no—
1301#41—816no—
1302C2×Q8—22no—
1303C2×Q8—22no—
1304C2×Q8—22no—
1305C2×Q8—22no—
1306C2×Q8—28no—
1307C2×Q8—24no—
1308C2×Q8—28no—
1309C2×Q8—28no—
1310C2×Q8—28no—
1311C2×Q8—24no—
1312C2×Q8—22no—
1313C2×Q8—22no—
1314C2×Q8—22no—
1315C2×Q8—22no—
1316C2×Q8—22no—
1317C2×Q8—24no—
1318C2×Q8—42no—
1319C2×Q8—44no—
1320C2×Q8—42no—
1321C2×Q8—44no—
1322C2×Q8—44no—
1323C2×Q8—44no—
1324C2×Q8—44no—
1325C2×Q8—432no—
1326C2×Q8C22×D418yes—
1327C2×Q8C2×#4114yes—
1328C2×Q8C2×#4114yes—
1329C2×Q82−1+414yes—
1330C2×D4—24no—
1331C2×D4—24no—
1332C2×D4—24no—
1333C2×D4—28no—
1334C2×D4—28no—
1335C2×D4—24no—
1336C2×D4—28no—
1337C2×D4—28no—
1338C2×D4—24no—
1339C2×D4—24no—
1340C2×D4—28no—
1341C2×D4—24no—
1342C2×D4—22no—
1343C2×D4—22no—
1344C2×D4—24no—
1345C2×D4—24no—
1346C2×D4—28no—
1347C2×D4—24no—
1348C2×D4—22no—
1349C2×D4—28no—
1350C2×D4—24no—
1351C2×D4—24no—
1352C2×D4—22no—
1353C2×D4—22no—
1354C2×D4—24no—
1355C2×D4—24no—
1356C2×D4—41no—
1357C2×D4—41no—
1358C2×D4—44no—
1359C2×D4—44no—
1360C2×D4—44no—
1361C2×D4—42no—
1362C2×D4—42no—
1363C2×D4—44no—
1364C2×D4—42no—
1365C2×D4—42no—
1366C2×D4—42no—
1367C2×D4—44no—
1368C2×D4—42no—
1369C2×D4—44no—
1370C2×D4—44no—
1371C2×D4—42no—
1372C2×D4—44no—
1373C2×D4—44no—
1374C2×D4—44no—
1375C2×D4—44no—
1376C2×D4—44no—
1377C2×D4—44no—
1378C2×D4C22×D414yes—
1379C2×D4C22×D414yes—
1380C2×D4C22×D4116yes—
1381C22×C4—24no—
1382C22×C4—24no—
1383C22×C4—24no—
1384C22×C4—24no—
1385C22×C4—24no—
1386C22×C4—24no—
1387C22×C4—24no—
1388C22×C4—24no—
1389C22×C4—24no—
1390C22×C4—28no—
1391C22×C4—24no—
1392C22×C4—22no—
1393C22×C4—28no—
1394C22×C4—28no—
1395C22×C4—22no—
1396C22×C4—22no—
1397C22×C4—22no—
1398C22×C4—28no—
1399C22×C4—22no—
1400C22×C4—24no—
1401C22×C4—24no—
1402C22×C4—24no—
1403C22×C4—22no—
1404C22×C4—22no—
1405C22×C4—28no—
1406C22×C4—28no—
1407C22×C4—22no—
1408C22×C4—28no—
1409C22×C4—24no—
1410C22×C4—22no—
1411C22×C4—24no—
1412C22×C4—22no—
1413C22×C4—22no—
1414C22×C4—22no—
1415C22×C4—22no—
1416C22×C4—22no—
1417C22×C4—28no—
1418C22×C4—24no—
1419C22×C4—22no—
1420C22×C4—42no—
1421C22×C4—42no—
1422C22×C4—44no—
1423C22×C4—44no—
1424C22×C4—44no—
1425C22×C4—42no—
1426C22×C4—42no—
1427C22×C4—42no—
1428C22×C4—44no—
1429C22×C4—41no—
1430C22×C4—42no—
1431C22×C4—42no—
1432C22×C4—42no—
1433C22×C4—42no—
1434C22×C4—41no—
1435C22×C4—42no—
1436C22×C4—42no—
1437C22×C4—41no—
1438C22×C4—42no—
1439C22×C4—44no—
1440C22×C4—44no—
1441C22×C4—44no—
1442C22×C4C22×D418yes—
1443C22×C4C22×D418yes—
1444C22×C4C2512yes—
1445C22×C4C2511yescharacteristic
1446C22×C4C2511yescharacteristic
1447C22×C4C2511yescharacteristic
1448C22×C4C2512yes—
1449C22×C4C2512yes—
1450C22×C4C2514yes—
1451C22×C4C2512yes—
1452C22×C4C2512yes—
1453C22×C4C2512yes—
1454C22×C4C2511yescharacteristic
1455C22×C4C2511yescharacteristic
1456C22×C4C2511yescharacteristic
1457C22×C4C2512yes—
1458C22×C4C2514yes—
1459C22×C4C2511yescharacteristic
1460C22×C4C2512yes—
1461C22×C4C2512yes—
1462C22×C4C2512yes—
1463C22×C4C2514yes—
1464C22×C4C2511yescharacteristic
1465C22×C4C2512yes—
1466C22×C4C2511yescharacteristic
1467C22×C4C2512yes—
1468C22×C4C2512yes—
1469C22×C4C2511yescharacteristic
1470C22×C4C2512yes—
1471C22×C4C2511yescharacteristic
1472C22×C4C2511yescharacteristic
1473C22×C4C2511yescharacteristic
1474C4⋊C4—24no—
1475C4⋊C4—24no—
1476C4⋊C4—24no—
1477C4⋊C4—24no—
1478C4⋊C4—22no—
1479C4⋊C4—28no—
1480C4⋊C4—28no—
1481C4⋊C4—24no—
1482C4⋊C4—24no—
1483C4⋊C4—22no—
1484C4⋊C4—22no—
1485C4⋊C4—24no—
1486C4⋊C4—22no—
1487C4⋊C4—28no—
1488C4⋊C4—24no—
1489C4⋊C4—28no—
1490C4⋊C4—24no—
1491C4⋊C4—28no—
1492C4⋊C4—24no—
1493C4⋊C4—28no—
1494C4⋊C4—28no—
1495C4⋊C4—24no—
1496C4⋊C4—24no—
1497C4⋊C4—28no—
1498C4⋊C4—22no—
1499C4⋊C4—24no—
1500C4⋊C4—24no—
1501C4⋊C4—24no—
1502C4⋊C4—24no—
1503C4⋊C4—22no—
1504C4⋊C4—28no—
1505C4⋊C4—28no—
1506C4⋊C4—22no—
1507C4⋊C4—24no—
1508C4⋊C4—24no—
1509C4⋊C4—24no—
1510C4⋊C4—22no—
1511C4⋊C4—22no—
1512C4⋊C4—24no—
1513C4⋊C4—24no—
1514C4⋊C4—22no—
1515C4⋊C4—24no—
1516C4⋊C4—24no—
1517C4⋊C4—42no—
1518C4⋊C4—44no—
1519C4⋊C4—42no—
1520C4⋊C4—41no—
1521C4⋊C4—44no—
1522C4⋊C4—42no—
1523C4⋊C4—44no—
1524C4⋊C4—44no—
1525C4⋊C4—42no—
1526C4⋊C4—44no—
1527C4⋊C4—42no—
1528C4⋊C4—42no—
1529C4⋊C4—44no—
1530C4⋊C4—42no—
1531C4⋊C4—42no—
1532C4⋊C4C22×D414yes—
1533C4⋊C4C22×D414yes—
1534C4⋊C4C22×D418yes—
1535C4⋊C4C22×D418yes—
1536C4⋊C4C2×#4118yes—
1537C4⋊C4C2×#4118yes—
1538C22⋊C4—24no—
1539C22⋊C4—24no—
1540C22⋊C4—24no—
1541C22⋊C4—24no—
1542C22⋊C4—24no—
1543C22⋊C4—28no—
1544C22⋊C4—24no—
1545C22⋊C4—28no—
1546C22⋊C4—28no—
1547C22⋊C4—28no—
1548C22⋊C4—28no—
1549C22⋊C4—24no—
1550C22⋊C4—28no—
1551C22⋊C4—24no—
1552C22⋊C4—28no—
1553C22⋊C4—24no—
1554C22⋊C4—28no—
1555C22⋊C4—24no—
1556C22⋊C4—24no—
1557C22⋊C4—24no—
1558C22⋊C4—24no—
1559C22⋊C4—22no—
1560C22⋊C4—22no—
1561C22⋊C4—24no—
1562C22⋊C4—24no—
1563C22⋊C4—28no—
1564C22⋊C4—28no—
1565C22⋊C4—28no—
1566C22⋊C4—28no—
1567C22⋊C4—24no—
1568C22⋊C4—22no—
1569C22⋊C4—44no—
1570C22⋊C4—41no—
1571C22⋊C4—41no—
1572C22⋊C4—44no—
1573C22⋊C4—42no—
1574C22⋊C4—41no—
1575C22⋊C4—42no—
1576C22⋊C4—44no—
1577C22⋊C4—44no—
1578C22⋊C4—44no—
1579C22⋊C4—42no—
1580C22⋊C4—44no—
1581C22⋊C4—44no—
1582C22⋊C4—42no—
1583C22⋊C4—44no—
1584C22⋊C4—44no—
1585C22⋊C4—44no—
1586C22⋊C4—42no—
1587C22⋊C4—42no—
1588C22⋊C4—44no—
1589C22⋊C4—44no—
1590C22⋊C4—44no—
1591C22⋊C4—44no—
1592C22⋊C4—44no—
1593C22⋊C4—42no—
1594C22⋊C4—42no—
1595C22⋊C4C22×D4116yes—
1596C22⋊C4C22×D418yes—
1597C22⋊C4C22×D418yes—
1598C22⋊C4C22×D4116yes—
1599C42—24no—
1600C42—24no—
1601C42—22no—
1602C42—22no—
1603C42—22no—
1604C42—22no—
1605C42—24no—
1606C42—24no—
1607C42—24no—
1608C42—22no—
1609C42—22no—
1610C42—24no—
1611C42—28no—
1612C42—24no—
1613C42—24no—
1614C42—24no—
1615C42—28no—
1616C42—28no—
1617C42—28no—
1618C42—24no—
1619C42—24no—
1620C42—22no—
1621C42—22no—
1622C42—24no—
1623C42—22no—
1624C42—42no—
1625C42—42no—
1626C42—44no—
1627C42—41no—
1628C42—44no—
1629C42—41no—
1630C42—44no—
1631C42C22×D414yes—
1632C42C22×D4116yes—
1633C42C2×#4114yes—
1634C23—22no—
1635C23—22no—
1636C23—22no—
1637C23—22no—
1638C23—22no—
1639C23—22no—
1640C23—22no—
1641C23—22no—
1642C23—22no—
1643C23—22no—
1644C23—22no—
1645C23—22no—
1646C23—21no—
1647C23—21no—
1648C23—24no—
1649C23—24no—
1650C23—21no—
1651C23—21no—
1652C23—21no—
1653C23—24no—
1654C23—21no—
1655C23—21no—
1656C23—21no—
1657C23—21no—
1658C23—24no—
1659C23—24no—
1660C23—24no—
1661C23—21no—
1662C23—21no—
1663C23—21no—
1664C23—21no—
1665C23—24no—
1666C23—21no—
1667C23C23×D414yes—
1668C23C23×D414yes—
1669C23C2611yescharacteristic
1670Q8—28no—
1671Q8—28no—
1672Q8—28no—
1673Q8—48no—
1674Q8—416no—
1675Q8—48no—
1676Q8—44no—
1677Q8—88no—
1678Q8—88no—
1679D4—28no—
1680D4—28no—
1681D4—416no—
1682D4—416no—
1683D4—48no—
1684D4—416no—
1685D4—48no—
1686D4—48no—
1687D4—44no—
1688D4—48no—
1689D4—48no—
1690D4—84no—
1691D4—88no—
1692D4—84no—
1693D4—88no—
1694D4—88no—
1695D4—164no—
1696C2×C4—21no—
1697C2×C4—22no—
1698C2×C4—22no—
1699C2×C4—22no—
1700C2×C4—22no—
1701C2×C4—21no—
1702C2×C4—22no—
1703C2×C4—21no—
1704C2×C4—22no—
1705C2×C4—21no—
1706C2×C4—21no—
1707C2×C4—22no—
1708C2×C4—24no—
1709C2×C4—22no—
1710C2×C4—22no—
1711C2×C4—22no—
1712C2×C4—21no—
1713C2×C4—24no—
1714C2×C4—21no—
1715C2×C4—21no—
1716C2×C4—216no—
1717C2×C4—216no—
1718C2×C4—21no—
1719C2×C4—21no—
1720C2×C4—21no—
1721C2×C4—21no—
1722C2×C4—21no—
1723C2×C4—22no—
1724C2×C4—22no—
1725C2×C4—22no—
1726C2×C4—24no—
1727C2×C4—22no—
1728C2×C4—22no—
1729C2×C4—22no—
1730C2×C4—22no—
1731C2×C4—22no—
1732C2×C4—24no—
1733C2×C4—21no—
1734C2×C4—21no—
1735C2×C4—21no—
1736C2×C4—22no—
1737C2×C4—21no—
1738C2×C4—22no—
1739C2×C4—21no—
1740C2×C4—21no—
1741C2×C4—22no—
1742C2×C4—22no—
1743C2×C4—21no—
1744C2×C4—21no—
1745C2×C4—22no—
1746C2×C4—21no—
1747C2×C4—24no—
1748C2×C4—21no—
1749C2×C4—22no—
1750C2×C4—22no—
1751C2×C4—21no—
1752C2×C4—24no—
1753C2×C4—22no—
1754C2×C4—24no—
1755C2×C4—22no—
1756C2×C4—22no—
1757C2×C4—21no—
1758C2×C4—22no—
1759C2×C4—21no—
1760C2×C4—22no—
1761C2×C4—21no—
1762C2×C4—22no—
1763C2×C4—22no—
1764C2×C4—22no—
1765C2×C4—21no—
1766C2×C4—24no—
1767C2×C4—21no—
1768C2×C4—22no—
1769C2×C4—22no—
1770C2×C4—22no—
1771C2×C4—22no—
1772C2×C4—416no—
1773C2×C4—416no—
1774C2×C4—44no—
1775C2×C4—416no—
1776C2×C4—416no—
1777C2×C4—48no—
1778C2×C4—48no—
1779C2×C4—48no—
1780C2×C4—48no—
1781C2×C4—48no—
1782C2×C4—48no—
1783C2×C4—44no—
1784C2×C4—44no—
1785C2×C4—44no—
1786C2×C4—44no—
1787C2×C4—82no—
1788C2×C4—84no—
1789C2×C4—84no—
1790C2×C4—164no—
1791C2×C4C23×D414yes—
1792C2×C4C23×D418yes—
1793C2×C4C23×D414yes—
1794C2×C4C23×D412yes—
1795C2×C4C23×D412yes—
1796C2×C4C23×D412yes—
1797C2×C4C22×#4112yes—
1798C2×C4C22×#4112yes—
1799C2×C4C22×#4114yes—
1800C2×C4C22×#4114yes—
1801C2×C4C22×#4112yes—
1802C2×C4C2×2−1+414yes—
1803C2×C4C2×2−1+412yes—
1804C2×C4#58512yes—
1805C2×C4#58512yes—
1806C2×C4#58512yes—
1807C22—24no—
1808C22—24no—
1809C22—24no—
1810C22—24no—
1811C22—24no—
1812C22—24no—
1813C22—42no—
1814C22—42no—
1815C22—42no—
1816C22—42no—
1817C22—42no—
1818C22—42no—
1819C22—42no—
1820C22—42no—
1821C22—41no—
1822C22—44no—
1823C22—41no—
1824C22—44no—
1825C22—41no—
1826C22—41no—
1827C22—41no—
1828C22—41no—
1829C22—44no—
1830C22—41no—
1831C22—41no—
1832C22—44no—
1833C22—44no—
1834C22—41no—
1835C22—41no—
1836C22—44no—
1837C22—41no—
1838C22—41no—
1839C22—41no—
1840C22—44no—
1841C22—41no—
1842C22C24×D411yescharacteristic
1843C22C23×#4111yescharacteristic
1844C22C22×2−1+411yescharacteristic
1845C22C2×#58511yescharacteristic
1846C22C2×#58511yescharacteristic
1847C22C2×#58511yescharacteristic
1848C22H(7,𝔽2)11yescharacteristic
1849C4—22no—
1850C4—22no—
1851C4—28no—
1852C4—22no—
1853C4—22no—
1854C4—24no—
1855C4—24no—
1856C4—24no—
1857C4—24no—
1858C4—24no—
1859C4—42no—
1860C4—42no—
1861C4—41no—
1862C4—42no—
1863C4—42no—
1864C4—42no—
1865C4—41no—
1866C4—42no—
1867C4—42no—
1868C4—41no—
1869C4—41no—
1870C4—42no—
1871C4—41no—
1872C4—41no—
1873C4—44no—
1874C4—41no—
1875C4—42no—
1876C4—44no—
1877C4D4×#4114yes—
1878C4#348914yes—
1879C2—44no—
1880C2—44no—
1881C2—81no—
1882C2—84no—
1883C2—81no—
1884C2C2×D4×#4111yescharacteristic
1885C2#6279311yescharacteristic
1886C2C2×#348911yescharacteristic
1887C2#6296611yescharacteristic
1888C2#6298711yescharacteristic
1889C2#6299911yescharacteristic
1890C2#6303411yescharacteristic
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×#3518C2semidirect
2. C2×#3483C2semidirect
3. #59832C2semidirect
4. #59810C2semidirect
5. #59146C2semidirect
6. #59115C2semidirect
7. #59101C2semidirect
8. #59093C2semidirect
9. #59084C2semidirect
10. #59081C2semidirect
11. #45241C2semidirect
12. #44891C2semidirect
13. #44762C2semidirect
14. #44679C2semidirect
15. #39963C2semidirect
16. #39891C2semidirect
17. #39363C2semidirect
18. #38909C2semidirect
19. #37810C2semidirect
20. #37794C2semidirect
21. #36443C2semidirect
22. #36443C2semidirect
23. #36419C2semidirect
24. #36410C2semidirect
25. #36405C2semidirect
26. #36274C2semidirect
27. #36150C2semidirect
28. #36139C2semidirect
29. #36077C2semidirect
30. #36028C2semidirect
31. #34745C2semidirect
32. #34724C2semidirect
33. #34321C2semidirect
34. #34268C2semidirect
35. C4×#547C2semidirect
319. #555D4semidirect
930. C4⋊Q8#41semidirect

Maximal subgroups

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

subgroupindex
C2×#35182
C2×#34832
#598322
#598102
#591462
#591152
#591012
#590932
#590842
#590812
#452412
#448912
#447622
#446792
#399632
#398912
#393632
#389092
#378102
#377942
#364432
#364192
#364102
#364052
#362742
#361502
#361392
#360772
#360282
#347452
#347242
#343212
#342682
C4×#5472