Finite Group Databasebeta

← #7627198

Subgroups — #7627198

Order 512.

6976 conjugacy classes of subgroups.

The subgroup lattice has 1730 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3554C211yesmaximal, characteristic
2#34527C214yesmaximal, complemented
3#34515C214yesmaximal, complemented
4#34500C212yesmaximal, complemented
5#34498C211yesmaximal, characteristic, complemented
6#34489C212yesmaximal, complemented
7#34488C211yesmaximal, characteristic, complemented
8#34473C212yesmaximal, complemented
9#34472C212yesmaximal, complemented
10#34452C214yesmaximal, complemented
11#34439C212yesmaximal, complemented
12#34431C212yesmaximal, complemented
13#34428C212yesmaximal, complemented
14#34428C212yesmaximal, complemented
15#34417C214yesmaximal, complemented
16#34384C211yesmaximal, characteristic, complemented
17#34334C211yesmaximal, characteristic, complemented
18#34332C212yesmaximal, complemented
19#34331C212yesmaximal, complemented
20#34330C211yesmaximal, characteristic, complemented
21#34313C211yesmaximal, characteristic, complemented
22#34312C212yesmaximal, complemented
23#34311C211yesmaximal, characteristic, complemented
24#34308C212yesmaximal, complemented
25#34287C212yesmaximal, complemented
26#34285C212yesmaximal, complemented
27#34276C212yesmaximal, complemented
28#34232C211yesmaximal, characteristic, complemented
29#34214C211yesmaximal, characteristic, complemented
30#34207C211yesmaximal, characteristic, complemented
31C4×#557C211yesmaximal, characteristic, complemented
32C4×#559C211yesmaximal, characteristic, complemented
33#34151C211yesmaximal, characteristic, complemented
34C4×#542C212yesmaximal, complemented
35#34085C211yesmaximal, characteristic, complemented
36#3554C4132yescomplemented
37C2×#562C2214yes—
38C2×#559C2212yes—
39C2×#559C2211yescharacteristic
40C2×#557C2211yescharacteristic
41C2×#554C2212yes—
42C2×#550C2211yescharacteristic
43C2×D4×Q8C2211yescharacteristic
44C2×#548C2212yes—
45C2×#547C2212yes—
46C2×#542C2212yes—
47C2×#542C2212yes—
48C2×#540C2212yes—
49C2×#539C2214yes—
50C2×#536C2212yes—
51C2×#533C2211yescharacteristic
52C2×#532C2211yescharacteristic
53C2×#529C2211yescharacteristic
54C2×#520C2212yes—
55C2×#520C2212yes—
56C2×#519C2212yes—
57#2383C2214yes—
58#2382C2214yes—
59#2379C2214yes—
60#2379C2214yes—
61#2378C2214yes—
62#2378C2214yes—
63#2378C2214yes—
64#2377C2214yes—
65#2376C2214yes—
66#2376C2214yes—
67#2376C2214yes—
68#2374C2212yes—
69#2374C2212yes—
70#2374C2214yes—
71#2374C2214yes—
72#2374C2214yes—
73#2373C2212yes—
74#2373C2212yes—
75#2370C2211yescharacteristic
76#2370C2212yes—
77#2370C2211yescharacteristic
78#2370C2214yes—
79#2370C2212yes—
80#2369C2212yes—
81#2368C2214yes—
82#2368C2214yes—
83#2367C2214yes—
84#2367C2212yes—
85#2367C2211yescharacteristic
86#2367C2212yes—
87#2367C2214yes—
88#2367C2211yescharacteristic
89#2367C2212yes—
90#2367C2212yes—
91#2366C2211yescharacteristic
92#2366C2212yes—
93#2366C2212yes—
94#2366C2211yescharacteristic
95#2365C2212yes—
96#2365C2211yescharacteristic
97#2365C2212yes—
98#2365C2211yescharacteristic
99#2365C2212yes—
100#2364C2214yes—
101#2364C2214yes—
102#2363C2212yes—
103#2363C2214yes—
104#2363C2211yescharacteristic
105#2363C2211yescharacteristic
106#2363C2212yes—
107#2363C2212yes—
108#2362C2212yes—
109#2362C2214yes—
110#2362C2211yescharacteristic
111#2362C2211yescharacteristic
112#2362C2214yes—
113#2362C2214yes—
114#2361C2214yes—
115#2361C2214yes—
116#2361C2212yes—
117#2361C2212yes—
118#2361C2212yes—
119#2361C2212yes—
120#2361C2212yes—
121#2361C2212yes—
122#2360C2212yes—
123#2360C2212yes—
124#2360C2214yes—
125#2360C2212yes—
126#2360C2214yes—
127#2360C2214yes—
128#2360C2212yes—
129#2360C2214yes—
130#2360C2214yes—
131#2359C2214yes—
132#2359C2214yes—
133#2359C2214yes—
134#2359C2214yes—
135#2359C2214yes—
136#2359C2214yes—
137#2357C2212yes—
138#2357C2212yes—
139#2357C2212yes—
140#2355C2211yescharacteristic
141#2355C2212yes—
142#2355C2211yescharacteristic
143#2355C2211yescharacteristic
144#2355C2212yes—
145#2355C2212yes—
146#2354C2211yescharacteristic
147#2354C2212yes—
148#2354C2212yes—
149#2354C2212yes—
150#2353C2214yes—
151#2352C2212yes—
152#2352C2214yes—
153#2351C2212yes—
154#2351C2212yes—
155Q8×C4⋊C4C2211yescharacteristic
156Q8×C4⋊C4C2211yescharacteristic
157Q8×C4⋊C4C2212yes—
158Q8×C4⋊C4C2211yescharacteristic
159#2349C2214yes—
160#2349C2212yes—
161D4×C4⋊C4C2212yes—
162D4×C4⋊C4C2212yes—
163D4×C4⋊C4C2212yes—
164D4×C4⋊C4C2211yescharacteristic
165D4×C4⋊C4C2212yes—
166D4×C4⋊C4C2212yes—
167D4×C4⋊C4C2212yes—
168#2345C2214yes—
169#2344C2214yes—
170#2341C2212yes—
171#2341C2212yes—
172Q8×C22⋊C4C2212yes—
173Q8×C22⋊C4C2212yes—
174#2339C2212yes—
175#2339C2212yes—
176#2337C2214yes—
177#2337C2214yes—
178#2336C2212yes—
179#2336C2212yes—
180#2336C2214yes—
181#2335C2214yes—
182#2335C2214yes—
183#2335C2214yes—
184#2335C2214yes—
185#2335C2214yes—
186#2335C2214yes—
187#2334C2214yes—
188#2334C2214yes—
189#2334C2214yes—
190#2333C2214yes—
191#2333C2214yes—
192#2333C2214yes—
193#2332C2212yes—
194#2332C2212yes—
195#2332C2214yes—
196#2332C2214yes—
197#2331C2212yes—
198#2331C2211yescharacteristic
199#2331C2211yescharacteristic
200#2330C2212yes—
201#2330C2212yes—
202#2330C2214yes—
203#2329C2214yes—
204#2329C2214yes—
205#2329C2214yes—
206#2328C2212yes—
207#2327C2211yescharacteristic
208#2327C2211yescharacteristic
209#2327C2212yes—
210#2326C2212yes—
211#2326C2212yes—
212#2326C2212yes—
213#2326C2212yes—
214#2326C2212yes—
215#2325C2214yes—
216#2324C2212yes—
217#2324C2214yes—
218#2324C2214yes—
219#2323C2211yescharacteristic
220#2323C2212yes—
221#2323C2214yes—
222#2323C2211yescharacteristic
223#2323C2214yes—
224#2323C2211yescharacteristic
225#2323C2211yescharacteristic
226#2322C2214yes—
227#2322C2214yes—
228#2322C2214yes—
229#2322C2214yes—
230#2322C2214yes—
231#2320C2212yes—
232#2320C2212yes—
233#2319C2212yes—
234#2319C2212yes—
235#2319C2212yes—
236#2318C2214yes—
237#2317C2212yes—
238#2317C2212yes—
239#2314C2212yes—
240#2313C2214yes—
241#2311C2212yes—
242C4×C4⋊Q8C2212yes—
243C4×C4⋊Q8C2212yes—
244C4×C4⋊Q8C2211yescharacteristic
245C4×C4⋊Q8C2211yescharacteristic
246C4×C4⋊Q8C2212yes—
247C4×C4⋊Q8C2212yes—
248C4×#127C2212yes—
249C4×#127C2211yescharacteristic
250C4×#127C2211yescharacteristic
251C4×#125C2212yes—
252C4×#125C2214yes—
253C4×#126C2214yes—
254C4×#124C2212yes—
255C4×#124C2214yes—
256C4×#124C2214yes—
257C4×#124C2212yes—
258C4×#124C2212yes—
259C4×#124C2212yes—
260C4×C22⋊Q8C2214yes—
261C4×C22⋊Q8C2212yes—
262C4×#123C2214yes—
263C4×#123C2214yes—
264C4×#121C2214yes—
265C4×#121C2212yes—
266#2298C2212yes—
267#2298C2212yes—
268#2298C2212yes—
269#2297C2212yes—
270#2295C2211yescharacteristic
271#2295C2212yes—
272#2295C2212yes—
273#2295C2211yescharacteristic
274#2295C2211yescharacteristic
275C2×#391C2212yes—
276#2293C2212yes—
277#2293C2211yescharacteristic
278#2293C2212yes—
279#2293C2214yes—
280#2293C2212yes—
281C2×#389C2214yes—
282#2290C2212yes—
283C2×#384C2211yescharacteristic
284#2283C2211yescharacteristic
285#2275C2212yes—
286#2275C2212yes—
287#2275C2212yes—
288#2274C2212yes—
289C42×Q8C2211yescharacteristic
290C42×Q8C2212yes—
291C42×Q8C2211yescharacteristic
292C42×Q8C2212yes—
293C42×Q8C2211yescharacteristic
294C42×D4C2212yes—
295C42×D4C2211yescharacteristic
296C42×D4C2212yes—
297C4×#117C2211yescharacteristic
298C4×#117C2212yes—
299C4×#117C2211yescharacteristic
300C22×#41C2312yes—
301C22×#41C2312yes—
302C23×Q8C2312yes—
303#562C2×C4164yescomplemented
304#559C2×C4132yescomplemented
305#559C2×C4116yescomplemented
306#557C2×C4116yescomplemented
307#554C2×C4132yescomplemented
308#550C2×C4116yescomplemented
309D4×Q8C2×C4116yescomplemented
310#548C2×C4132yescomplemented
311#547C2×C4132yescomplemented
312#542C2×C4132yescomplemented
313#542C2×C4132yescomplemented
314#540C2×C4132yescomplemented
315#539C2×C4164yescomplemented
316#536C2×C4132yescomplemented
317#533C2×C4116yescomplemented
318#532C2×C4116yescomplemented
319C2×C4⋊Q8C2311yescharacteristic
320C2×C4⋊Q8C2311yescharacteristic
321C2×C4⋊Q8C2311yescharacteristic
322C2×C4⋊Q8C2312yes—
323C2×C4⋊Q8C2312yes—
324C2×#127C2311yescharacteristic
325C2×#127C2312yes—
326#529C2×C4116yescomplemented
327C2×#126C2314yes—
328C2×#126C2312yes—
329C2×#125C2312yes—
330C2×#125C2314yes—
331C2×#125C2312yes—
332C2×#125C2311yescharacteristic
333C2×#124C2311yescharacteristic
334C2×#124C2312yes—
335C2×#124C2312yes—
336C2×#124C2312yes—
337C2×#124C2314yes—
338C2×#124C2314yes—
339C2×#123C2312yes—
340C2×#123C2314yes—
341C2×#123C2314yes—
342C2×#123C2314yes—
343C2×#123C2314yes—
344C2×#123C2314yes—
345C2×#123C2314yes—
346C2×C22⋊Q8C2311yescharacteristic
347C2×C22⋊Q8C2311yescharacteristic
348C2×C22⋊Q8C2314yes—
349C2×C22⋊Q8C2314yes—
350C2×C22⋊Q8C2312yes—
351C2×C22⋊Q8C2314yes—
352C2×C22⋊Q8C2312yes—
353C2×C22⋊Q8C2314yes—
354C2×C22⋊Q8C2311yescharacteristic
355C2×C22⋊Q8C2314yes—
356C2×#121C2314yes—
357C2×#121C2314yes—
358C2×#121C2312yes—
359C2×#121C2312yes—
360C2×#121C2314yes—
361C2×#121C2311yescharacteristic
362C2×#121C2312yes—
363#520—48no—
364#520—48no—
365#519—48no—
366C2×C4×Q8C2312yes—
367C2×C4×Q8C2311yescharacteristic
368C2×C4×Q8C2311yescharacteristic
369C2×C4×Q8C2311yescharacteristic
370C2×C4×Q8C2314yes—
371C2×C4×Q8C2312yes—
372C2×C4×Q8C2312yes—
373C2×C4×Q8C2312yes—
374C2×C4×Q8C2311yescharacteristic
375C2×C4×Q8C2311yescharacteristic
376C2×C4×Q8C2314yes—
377C2×C4×Q8C2312yes—
378C2×C4×Q8C2312yes—
379C2×C4×Q8C2312yes—
380C2×C4×Q8C2311yescharacteristic
381C2×C4×Q8C2314yes—
382C2×C4×Q8C2312yes—
383C2×C4×Q8C2312yes—
384C2×C4×Q8C2311yescharacteristic
385C2×C4×Q8C2311yescharacteristic
386C2×C4×Q8C2311yescharacteristic
387C2×C4×Q8C2312yes—
388C2×C4×D4C2312yes—
389C2×C4×D4C2311yescharacteristic
390C2×C4×D4C2312yes—
391C2×C4×D4C2314yes—
392C2×C4×D4C2312yes—
393C2×C4×D4C2312yes—
394C2×C4×D4C2312yes—
395C2×C4×D4C2312yes—
396C2×C4×D4C2312yes—
397C2×C4×D4C2314yes—
398C2×C4×D4C2314yes—
399C2×C4×D4C2314yes—
400C2×C4×D4C2312yes—
401C2×C4×D4C2311yescharacteristic
402C2×C4×D4C2312yes—
403C2×C4×D4C2312yes—
404C2×C4×D4C2314yes—
405C2×C4×D4C2312yes—
406C2×C4×D4C2314yes—
407C2×C4×D4C2314yes—
408C2×C4×D4C2314yes—
409C2×C4×D4C2312yes—
410C2×C4×D4C2312yes—
411C2×C4×D4C2312yes—
412C2×C4×D4C2312yes—
413C2×C4×D4C2312yes—
414C2×C4×D4C2311yescharacteristic
415C2×C4×D4C2312yes—
416C2×C4×D4C2312yes—
417C2×#117C2311yescharacteristic
418C2×#117C2312yes—
419C2×#117C2311yescharacteristic
420C2×#117C2311yescharacteristic
421C2×#117C2311yescharacteristic
422C2×#117C2312yes—
423C2×#117C2314yes—
424C2×#117C2314yes—
425C2×#117C2314yes—
426C2×#117C2314yes—
427C2×#117C2312yes—
428C2×#117C2312yes—
429C22×C4⋊C4C2312yes—
430C22×C4⋊C4C2312yes—
431C22×C4⋊C4C2312yes—
432C22×C4⋊C4C2314yes—
433C22×C4⋊C4C2314yes—
434C22×C4⋊C4C2314yes—
435C22×C4⋊C4C2312yes—
436C22×C4⋊C4C2314yes—
437C22×C42C2312yes—
438C22×C42C2314yes—
439C22×C42C2311yescharacteristic
440#391C2312yes—
441#391C2312yes—
442#391C2312yes—
443#391C2314yes—
444#391C2314yes—
445#391C2312yes—
446#391C2312yes—
447#391C2311yescharacteristic
448#391C2312yes—
449#391C2312yes—
450#391C2311yescharacteristic
451#391C2311yescharacteristic
452#391C2311yescharacteristic
453#391C2311yescharacteristic
454#391C2314yes—
455#391C2314yes—
456#391C2311yescharacteristic
457#391C2314yes—
458#391C2314yes—
459#391C2314yes—
460#391C2312yes—
461#391C2312yes—
462#391C2312yes—
463#391C2312yes—
464#390C2311yescharacteristic
465#390C2312yes—
466#390C2312yes—
467#390C2312yes—
468#390C2312yes—
469#390C2314yes—
470#390C2312yes—
471#390C2312yes—
472#390C2314yes—
473#390C2312yes—
474#390C2312yes—
475#390C2312yes—
476#390C2312yes—
477#390C2314yes—
478#390C2314yes—
479#390C2312yes—
480#390C2314yes—
481#390C2314yes—
482#390C2312yes—
483#390C2312yes—
484#390C2311yescharacteristic
485#389C2312yes—
486#389C2312yes—
487#389C2314yes—
488#389C2314yes—
489#389C2311yescharacteristic
490#389C2312yes—
491#389C2314yes—
492#389C2314yes—
493#389C2312yes—
494#389C2312yes—
495#389C2312yes—
496#389C2314yes—
497#389C2314yes—
498#389C2312yes—
499#389C2312yes—
500#389C2314yes—
501#389C2314yes—
502#389C2314yes—
503#389C2314yes—
504#389C2311yescharacteristic
505#389C2311yescharacteristic
506#389C2312yes—
507#389C2311yescharacteristic
508#389C2312yes—
509#389C2314yes—
510#389C2314yes—
511#389C2312yes—
512#389C2312yes—
513#389C2311yescharacteristic
514#389C2311yescharacteristic
515#389C2314yes—
516#389C2312yes—
517#389C2312yes—
518#389C2314yes—
519#389C2314yes—
520#389C2314yes—
521#389C2314yes—
522#389C2314yes—
523#389C2311yescharacteristic
524#389C2312yes—
525#389C2314yes—
526#389C2312yes—
527#389C2311yescharacteristic
528#388C2314yes—
529#388C2314yes—
530#388C2314yes—
531#388C2314yes—
532#388C2314yes—
533#388C2314yes—
534#388C2314yes—
535#388C2314yes—
536#388C2314yes—
537#388C2314yes—
538#388C2314yes—
539#388C2314yes—
540#388C2312yes—
541#388C2312yes—
542#388C2312yes—
543#388C2312yes—
544#388C2314yes—
545#388C2314yes—
546#388C2314yes—
547#388C2312yes—
548#388C2312yes—
549#388C2314yes—
550#388C2312yes—
551#388C2312yes—
552#388C2312yes—
553#388C2312yes—
554#388C2312yes—
555#388C2312yes—
556#388C2314yes—
557#388C2314yes—
558#388C2312yes—
559#388C2314yes—
560#388C2314yes—
561#388C2314yes—
562#388C2314yes—
563#388C2314yes—
564#388C2314yes—
565#388C2314yes—
566#388C2314yes—
567#388C2314yes—
568#388C2314yes—
569#388C2314yes—
570#388C2314yes—
571#388C2314yes—
572#388C2312yes—
573#388C2312yes—
574#388C2312yes—
575#388C2312yes—
576#388C2312yes—
577#388C2312yes—
578#388C2312yes—
579#388C2314yes—
580#387C2312yes—
581#387C2314yes—
582#387C2314yes—
583#387C2314yes—
584#387C2314yes—
585#387C2314yes—
586#387C2314yes—
587#387C2314yes—
588#387C2314yes—
589#387C2312yes—
590#387C2312yes—
591#387C2314yes—
592#387C2314yes—
593#387C2314yes—
594#387C2314yes—
595#387C2314yes—
596#387C2314yes—
597#387C2312yes—
598#387C2314yes—
599#387C2314yes—
600#387C2314yes—
601#387C2314yes—
602#387C2314yes—
603#387C2312yes—
604#387C2312yes—
605#387C2312yes—
606#387C2314yes—
607#387C2314yes—
608#387C2314yes—
609#387C2314yes—
610#387C2312yes—
611#387C2312yes—
612#387C2312yes—
613#387C2314yes—
614#387C2312yes—
615#387C2312yes—
616#387C2312yes—
617#387C2314yes—
618#387C2312yes—
619#387C2312yes—
620#387C2312yes—
621#387C2312yes—
622#387C2312yes—
623#387C2312yes—
624#387C2314yes—
625#387C2312yes—
626#387C2312yes—
627#387C2312yes—
628#387C2312yes—
629#387C2312yes—
630#387C2312yes—
631#387C2312yes—
632#387C2312yes—
633#387C2312yes—
634#386C2314yes—
635#386C2314yes—
636#386C2314yes—
637#386C2314yes—
638#386C2314yes—
639#386C2314yes—
640#386C2314yes—
641#386C2314yes—
642#386C2314yes—
643#386C2314yes—
644#386C2312yes—
645#386C2314yes—
646#386C2314yes—
647#386C2312yes—
648#386C2314yes—
649#386C2314yes—
650#386C2314yes—
651#385C2314yes—
652#385C2314yes—
653#385C2314yes—
654#385C2314yes—
655#385C2312yes—
656#385C2314yes—
657#385C2314yes—
658#385C2314yes—
659#385C2314yes—
660#385C2314yes—
661#385C2314yes—
662#385C2314yes—
663#385C2314yes—
664#385C2314yes—
665#385C2314yes—
666#385C2314yes—
667#385C2314yes—
668#385C2314yes—
669#385C2314yes—
670#385C2314yes—
671#385C2312yes—
672#385C2314yes—
673#385C2314yes—
674#384C2311yescharacteristic
675#384C2311yescharacteristic
676#384C2312yes—
677#384C2312yes—
678#384C2312yes—
679#384C2312yes—
680#384C2312yes—
681#384C2312yes—
682#383C2314yes—
683#383C2312yes—
684#382C2312yes—
685#382C2314yes—
686#382C2311yescharacteristic
687#382C2311yescharacteristic
688#382C2312yes—
689#382C2312yes—
690#382C2314yes—
691#382C2314yes—
692#381C2314yes—
693#381C2314yes—
694#381C2314yes—
695#381C2312yes—
696#381C2314yes—
697#380C2314yes—
698#380C2314yes—
699#380C2314yes—
700#380C2312yes—
701#380C2312yes—
702#380C2314yes—
703#380C2314yes—
704#380C2311yescharacteristic
705#380C2311yescharacteristic
706#380C2314yes—
707#380C2314yes—
708#380C2314yes—
709C4×C4⋊C4C2312yes—
710C4×C4⋊C4C2314yes—
711C4×C4⋊C4C2314yes—
712C4×C4⋊C4C2314yes—
713C4×C4⋊C4C2312yes—
714C4×C4⋊C4C2314yes—
715C4×C4⋊C4C2312yes—
716C4×C4⋊C4C2311yescharacteristic
717C4×C4⋊C4C2312yes—
718C4×C4⋊C4C2312yes—
719C4×C4⋊C4C2314yes—
720C4×C4⋊C4C2312yes—
721C4×C4⋊C4C2312yes—
722C4×C4⋊C4C2314yes—
723C4×C4⋊C4C2312yes—
724C4×C4⋊C4C2314yes—
725C4×C4⋊C4C2314yes—
726C4×C4⋊C4C2312yes—
727C4×C4⋊C4C2312yes—
728C4×C4⋊C4C2312yes—
729C4×C4⋊C4C2312yes—
730C4×C4⋊C4C2312yes—
731C4×C4⋊C4C2311yescharacteristic
732C4×C4⋊C4C2312yes—
733C4×C4⋊C4C2312yes—
734C4×C4⋊C4C2311yescharacteristic
735C4×C4⋊C4C2312yes—
736C4×C4⋊C4C2311yescharacteristic
737C4×C4⋊C4C2311yescharacteristic
738C4×C4⋊C4C2311yescharacteristic
739C4×C4⋊C4C2312yes—
740C4×C4⋊C4C2311yescharacteristic
741C4×C4⋊C4C2312yes—
742C4×C4⋊C4C2314yes—
743C4×C4⋊C4C2312yes—
744C4×C4⋊C4C2312yes—
745C4×C4⋊C4C2312yes—
746C4×C4⋊C4C2314yes—
747C4×C4⋊C4C2314yes—
748C4×C4⋊C4C2314yes—
749C4×C4⋊C4C2314yes—
750C4×C4⋊C4C2311yescharacteristic
751C4×C4⋊C4C2311yescharacteristic
752C4×C4⋊C4C2311yescharacteristic
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2311yescharacteristic
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2311yescharacteristic
758C4×C4⋊C4C2311yescharacteristic
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2311yescharacteristic
762C4×C4⋊C4C2311yescharacteristic
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2314yes—
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2312yes—
773C4×C22⋊C4C2314yes—
774C4×C22⋊C4C2314yes—
775C4×C22⋊C4C2314yes—
776C4×C22⋊C4C2314yes—
777C4×C22⋊C4C2314yes—
778C4×C22⋊C4C2314yes—
779C4×C22⋊C4C2314yes—
780C4×C22⋊C4C2314yes—
781C4×C22⋊C4C2314yes—
782C4×C22⋊C4C2314yes—
783C4×C22⋊C4C2312yes—
784C4×C22⋊C4C2314yes—
785C4×C22⋊C4C2314yes—
786C4×C22⋊C4C2314yes—
787C4×C22⋊C4C2311yescharacteristic
788C4×C22⋊C4C2311yescharacteristic
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2314yes—
799C4×C22⋊C4C2314yes—
800C4×C22⋊C4C2314yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2314yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2314yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2314yes—
810C4×C22⋊C4C2312yes—
811C4×C22⋊C4C2311yescharacteristic
812C4×C22⋊C4C2311yescharacteristic
813#376C2312yes—
814#376C2312yes—
815#376C2312yes—
816#376C2312yes—
817#376C2311yescharacteristic
818#376C2311yescharacteristic
819#376C2312yes—
820C2×#95C2314yes—
821C2×#95C2314yes—
822C2×#95C2314yes—
823C2×#95C2314yes—
824C43C2314yes—
825C43C2312yes—
826C43C2311yescharacteristic
827C43C2311yescharacteristic
828C43C2312yes—
829C43C2312yes—
830C43C2312yes—
831C2×#41—44no—
832C2×#41—44no—
833C2×#41—44no—
834C2×#41—44no—
835C2×#41C22×C4116yes—
836C2×#41C22×C4116yes—
837C22×Q8—44no—
838C22×Q8—44no—
839C22×Q8C22×C4116yes—
840C22×Q8C2411yescharacteristic
841C22×Q8C2411yescharacteristic
842C22×Q8C2412yes—
843C22×Q8C2411yescharacteristic
844C22×Q8C2412yes—
845C22×Q8C2414yes—
846C22×D4C2412yes—
847C22×D4C2411yescharacteristic
848C22×D4C2412yes—
849C22×D4C2412yes—
850C22×D4C2412yes—
851C22×D4C2414yes—
852C22×D4C2414yes—
853C22×D4C2414yes—
854C23×C4C2411yescharacteristic
855C23×C4C2411yescharacteristic
856C23×C4C2412yes—
857C23×C4C2414yes—
858C23×C4C2412yes—
859C23×C4C2414yes—
860C23×C4C2414yes—
861C23×C4C2414yes—
862C23×C4C2414yes—
863C23×C4C2414yes—
864C23×C4C2412yes—
865C23×C4C2414yes—
866C23×C4C2414yes—
867C23×C4C2414yes—
868C23×C4C2411yescharacteristic
869C23×C4C2414yes—
870C4⋊Q8C22×C418yes—
871C4⋊Q8C22×C418yes—
872C4⋊Q8C22×C418yes—
873C4⋊Q8C22×C4116yes—
874C4⋊Q8C22×C4116yes—
875#127C22×C418yes—
876#127C22×C4116yes—
877#126C22×C4116yes—
878#126C22×C4132yes—
879#125C22×C418yes—
880#125C22×C4116yes—
881#125C22×C4132yes—
882#125C22×C4116yes—
883#124C22×C418yes—
884#124C22×C4116yes—
885#124C22×C4116yes—
886#124C22×C4132yes—
887#124C22×C4116yes—
888#124C22×C4132yes—
889#123C22×C4116yes—
890#123C22×C4132yes—
891#123C22×C4132yes—
892#123C22×C4132yes—
893#123C22×C4132yes—
894#123C22×C4132yes—
895#123C22×C4132yes—
896C22⋊Q8C22×C418yes—
897C22⋊Q8C22×C418yes—
898C22⋊Q8C22×C418yes—
899C22⋊Q8C22×C4116yes—
900C22⋊Q8C22×C4132yes—
901C22⋊Q8C22×C4132yes—
902C22⋊Q8C22×C4132yes—
903C22⋊Q8C22×C4132yes—
904C22⋊Q8C22×C4116yes—
905C22⋊Q8C22×C4132yes—
906#121C22×C418yes—
907#121C22×C4116yes—
908#121C22×C4116yes—
909#121C22×C4132yes—
910#121C22×C4132yes—
911#121C22×C4132yes—
912#121C22×C4116yes—
913C4×Q8—24no—
914C4×Q8—24no—
915C4×Q8—28no—
916C4×Q8—24no—
917C4×Q8—48no—
918C4×Q8—48no—
919C4×Q8—44no—
920C4×Q8—42no—
921C4×Q8—42no—
922C4×Q8—44no—
923C4×Q8—42no—
924C4×Q8—44no—
925C4×Q8—44no—
926C4×Q8—44no—
927C4×Q8—44no—
928C4×Q8—84no—
929C4×Q8C22×C418yes—
930C4×Q8C22×C418yes—
931C4×Q8C22×C418yes—
932C4×Q8C22×C4116yes—
933C4×Q8C22×C4116yes—
934C4×Q8C22×C4116yes—
935C4×D4—24no—
936C4×D4—28no—
937C4×D4—28no—
938C4×D4—48no—
939C4×D4—48no—
940C4×D4—44no—
941C4×D4—44no—
942C4×D4—42no—
943C4×D4—44no—
944C4×D4—44no—
945C4×D4—44no—
946C4×D4—44no—
947C4×D4—44no—
948C4×D4—48no—
949C4×D4—48no—
950C4×D4—84no—
951C4×D4—82no—
952C4×D4—82no—
953C4×D4—84no—
954C4×D4—84no—
955C4×D4C22×C4116yes—
956C4×D4C22×C418yes—
957C4×D4C22×C4116yes—
958C4×D4C22×C4116yes—
959C4×D4C22×C4132yes—
960C4×D4C22×C4116yes—
961C4×D4C22×C4116yes—
962C4×D4C22×C4116yes—
963C4×D4C22×C4116yes—
964#117—24no—
965#117—28no—
966#117—24no—
967#117—42no—
968#117—48no—
969#117—48no—
970#117—48no—
971#117—48no—
972#117—42no—
973#117—44no—
974#117C22×C4116yes—
975#117C22×C4116yes—
976C2×C4⋊C4—44no—
977C2×C4⋊C4—48no—
978C2×C4⋊C4—48no—
979C2×C4⋊C4—44no—
980C2×C4⋊C4—44no—
981C2×C4⋊C4—84no—
982C2×C4⋊C4—82no—
983C2×C4⋊C4C22×C4132yes—
984C2×C4⋊C4C2411yescharacteristic
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2411yescharacteristic
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2414yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2411yescharacteristic
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2411yescharacteristic
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2411yescharacteristic
998C2×C4⋊C4C2411yescharacteristic
999C2×C4⋊C4C2411yescharacteristic
1000C2×C4⋊C4C2411yescharacteristic
1001C2×C4⋊C4C2411yescharacteristic
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2414yes—
1004C2×C4⋊C4C2414yes—
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2414yes—
1008C2×C4⋊C4C2414yes—
1009C2×C4⋊C4C2414yes—
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2414yes—
1013C2×C4⋊C4C2414yes—
1014C2×C4⋊C4C2414yes—
1015C2×C4⋊C4C2414yes—
1016C2×C4⋊C4C2414yes—
1017C2×C4⋊C4C2411yescharacteristic
1018C2×C4⋊C4C2411yescharacteristic
1019C2×C4⋊C4C2412yes—
1020C2×C4⋊C4C2414yes—
1021C2×C4⋊C4C2412yes—
1022C2×C4⋊C4C2414yes—
1023C2×C4⋊C4C2412yes—
1024C2×C4⋊C4C2412yes—
1025C2×C4⋊C4C2414yes—
1026C2×C4⋊C4C2412yes—
1027C2×C4⋊C4C2412yes—
1028C2×C4⋊C4C2412yes—
1029C2×C4⋊C4C2412yes—
1030C2×C4⋊C4C2412yes—
1031C2×C4⋊C4C2414yes—
1032C2×C4⋊C4C2414yes—
1033C2×C4⋊C4C2412yes—
1034C2×C4⋊C4C2412yes—
1035C2×C4⋊C4C2412yes—
1036C2×C4⋊C4C2412yes—
1037C2×C4⋊C4C2411yescharacteristic
1038C2×C4⋊C4C2411yescharacteristic
1039C2×C4⋊C4C2412yes—
1040C2×C4⋊C4C2412yes—
1041C2×C4⋊C4C2411yescharacteristic
1042C2×C4⋊C4C2412yes—
1043C2×C4⋊C4C2411yescharacteristic
1044C2×C4⋊C4C2412yes—
1045C2×C4⋊C4C2414yes—
1046C2×C4⋊C4C2412yes—
1047C2×C4⋊C4C2412yes—
1048C2×C4⋊C4C2414yes—
1049C2×C4⋊C4C2412yes—
1050C2×C4⋊C4C2411yescharacteristic
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2414yes—
1054C2×C22⋊C4C2411yescharacteristic
1055C2×C22⋊C4C2411yescharacteristic
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2414yes—
1059C2×C22⋊C4C2414yes—
1060C2×C22⋊C4C2414yes—
1061C2×C22⋊C4C2414yes—
1062C2×C22⋊C4C2412yes—
1063C2×C22⋊C4C2411yescharacteristic
1064C2×C22⋊C4C2411yescharacteristic
1065C2×C22⋊C4C2414yes—
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2414yes—
1069C2×C22⋊C4C2414yes—
1070C2×C22⋊C4C2412yes—
1071C2×C22⋊C4C2414yes—
1072C2×C22⋊C4C2414yes—
1073C2×C22⋊C4C2414yes—
1074C2×C22⋊C4C2414yes—
1075C2×C22⋊C4C2414yes—
1076C2×C22⋊C4C2414yes—
1077C2×C22⋊C4C2414yes—
1078C2×C22⋊C4C2412yes—
1079C2×C22⋊C4C2412yes—
1080C2×C22⋊C4C2412yes—
1081C2×C22⋊C4C2412yes—
1082C2×C22⋊C4C2412yes—
1083C2×C22⋊C4C2412yes—
1084C2×C22⋊C4C2412yes—
1085C2×C22⋊C4C2412yes—
1086C2×C22⋊C4C2414yes—
1087C2×C22⋊C4C2414yes—
1088C2×C22⋊C4C2414yes—
1089C2×C22⋊C4C2414yes—
1090C2×C22⋊C4C2414yes—
1091C2×C22⋊C4C2412yes—
1092C2×C22⋊C4C2414yes—
1093C2×C22⋊C4C2414yes—
1094C2×C42—44no—
1095C2×C42—84no—
1096C2×C42C22×C418yes—
1097C2×C42C2412yes—
1098C2×C42C2414yes—
1099C2×C42C2412yes—
1100C2×C42C2411yescharacteristic
1101C2×C42C2412yes—
1102C2×C42C2411yescharacteristic
1103C2×C42C2411yescharacteristic
1104C2×C42C2412yes—
1105C2×C42C2411yescharacteristic
1106C2×C42C2411yescharacteristic
1107C2×C42C2412yes—
1108C2×C42C2412yes—
1109C2×C42C2411yescharacteristic
1110C2×C42C2412yes—
1111C2×C42C2412yes—
1112C2×C42C2411yescharacteristic
1113C2×C42C2414yes—
1114C2×C42C2414yes—
1115C2×C42C2414yes—
1116C2×C42C2414yes—
1117C2×C42C2414yes—
1118C2×C42C2412yes—
1119C2×C42C2411yescharacteristic
1120C2×C42C2411yescharacteristic
1121C2×C42C2412yes—
1122C2×C42C2414yes—
1123C2×C42C2414yes—
1124C2×C42C2412yes—
1125C2×C42C2414yes—
1126C2×C42C2412yes—
1127C2×C42C2412yes—
1128C2×C42C2412yes—
1129C2×C42C2414yes—
1130C2×C42C2414yes—
1131C2×C42C2412yes—
1132C2×C42C2412yes—
1133C2×C42C2412yes—
1134C2×C42C2411yescharacteristic
1135C2×C42C2412yes—
1136C2×C42C2412yes—
1137C2×C42C2412yes—
1138C2×C42C2411yescharacteristic
1139C2×C42C2412yes—
1140C2×C42C2412yes—
1141C2×C42C2411yescharacteristic
1142C2×C42C2412yes—
1143C2×C42C2412yes—
1144C2×C42C2412yes—
1145C2×C42C2411yescharacteristic
1146C2×C42C2411yescharacteristic
1147C2×C42C2411yescharacteristic
1148C2×C42C2414yes—
1149C2×C42C2411yescharacteristic
1150#95C2412yes—
1151#95C2412yes—
1152#95C2412yes—
1153#95C2412yes—
1154#95C2412yes—
1155#95C2414yes—
1156#95C2412yes—
1157#95C2414yes—
1158#95C2414yes—
1159#95C2414yes—
1160#95C2414yes—
1161#95C2414yes—
1162#95C2414yes—
1163#95C2414yes—
1164#95C2414yes—
1165#95C2411yescharacteristic
1166#95C2411yescharacteristic
1167#95C2412yes—
1168#95C2411yescharacteristic
1169#95C2411yescharacteristic
1170#95C2412yes—
1171#95C2412yes—
1172#95C2412yes—
1173#95C2412yes—
1174#95C2412yes—
1175#95C2412yes—
1176#95C2412yes—
1177#95C2412yes—
1178#95C2412yes—
1179#95C2412yes—
1180#95C2412yes—
1181#95C2412yes—
1182#95C2412yes—
1183#95C2412yes—
1184#95C2411yescharacteristic
1185#95C2411yescharacteristic
1186#95C2412yes—
1187#95C2411yescharacteristic
1188#95C2411yescharacteristic
1189#95C2412yes—
1190#95C2412yes—
1191#95C2412yes—
1192#95C2412yes—
1193#95C2412yes—
1194#95C2414yes—
1195#95C2412yes—
1196#95C2412yes—
1197#95C2414yes—
1198#95C2414yes—
1199#95C2414yes—
1200#95C2412yes—
1201#95C2414yes—
1202#95C2414yes—
1203#95C2412yes—
1204#95C2412yes—
1205#95C2414yes—
1206#95C2414yes—
1207#95C2414yes—
1208#95C2414yes—
1209#95C2412yes—
1210#95C2414yes—
1211#95C2414yes—
1212#95C2412yes—
1213#95C2412yes—
1214#95C2412yes—
1215#95C2412yes—
1216#95C2412yes—
1217#95C2412yes—
1218#95C2414yes—
1219#95C2412yes—
1220C24C2512yes—
1221C24C2511yescharacteristic
1222C24C2514yes—
1223#41—432no—
1224#41—432no—
1225C2×Q8—22no—
1226C2×Q8—24no—
1227C2×Q8—22no—
1228C2×Q8—22no—
1229C2×Q8—22no—
1230C2×Q8—22no—
1231C2×Q8—24no—
1232C2×Q8—22no—
1233C2×Q8—44no—
1234C2×Q8—42no—
1235C2×Q8—44no—
1236C2×Q8—42no—
1237C2×Q8—432no—
1238C2×Q8C23×C414yes—
1239C2×Q8C23×C414yes—
1240C2×Q8C23×C418yes—
1241C2×Q8C23×C414yes—
1242C2×Q8C23×C418yes—
1243C2×Q8C23×C4116yes—
1244C2×D4—24no—
1245C2×D4—24no—
1246C2×D4—22no—
1247C2×D4—24no—
1248C2×D4—22no—
1249C2×D4—24no—
1250C2×D4—44no—
1251C2×D4—44no—
1252C2×D4—42no—
1253C2×D4—44no—
1254C2×D4—42no—
1255C2×D4—42no—
1256C2×D4—42no—
1257C2×D4—44no—
1258C2×D4—44no—
1259C2×D4—44no—
1260C2×D4C23×C414yes—
1261C2×D4C23×C418yes—
1262C2×D4C23×C418yes—
1263C2×D4C23×C418yes—
1264C2×D4C23×C418yes—
1265C2×D4C23×C4116yes—
1266C2×D4C23×C4116yes—
1267C2×D4C23×C4116yes—
1268C22×C4—22no—
1269C22×C4—24no—
1270C22×C4—22no—
1271C22×C4—24no—
1272C22×C4—22no—
1273C22×C4—22no—
1274C22×C4—28no—
1275C22×C4—24no—
1276C22×C4—28no—
1277C22×C4—44no—
1278C22×C4—44no—
1279C22×C4—44no—
1280C22×C4—41no—
1281C22×C4—44no—
1282C22×C4—41no—
1283C22×C4—44no—
1284C22×C4—44no—
1285C22×C4—44no—
1286C22×C4—44no—
1287C22×C4—42no—
1288C22×C4—42no—
1289C22×C4—44no—
1290C22×C4—44no—
1291C22×C4—44no—
1292C22×C4—44no—
1293C22×C4—42no—
1294C22×C4—42no—
1295C22×C4—42no—
1296C22×C4—44no—
1297C22×C4—44no—
1298C22×C4—44no—
1299C22×C4—44no—
1300C22×C4—44no—
1301C22×C4—44no—
1302C22×C4—44no—
1303C22×C4—44no—
1304C22×C4—44no—
1305C22×C4—44no—
1306C22×C4—44no—
1307C22×C4—44no—
1308C22×C4C23×C414yes—
1309C22×C4C23×C414yes—
1310C22×C4C23×C418yes—
1311C22×C4C23×C414yes—
1312C22×C4C23×C4116yes—
1313C22×C4C23×C4116yes—
1314C22×C4C23×C4116yes—
1315C22×C4C23×C4116yes—
1316C22×C4C2511yescharacteristic
1317C22×C4C2512yes—
1318C22×C4C2511yescharacteristic
1319C22×C4C2512yes—
1320C22×C4C2511yescharacteristic
1321C22×C4C2512yes—
1322C22×C4C2512yes—
1323C22×C4C2511yescharacteristic
1324C22×C4C2512yes—
1325C22×C4C2511yescharacteristic
1326C22×C4C2511yescharacteristic
1327C22×C4C2512yes—
1328C22×C4C2514yes—
1329C22×C4C2512yes—
1330C22×C4C2514yes—
1331C22×C4C2512yes—
1332C22×C4C2512yes—
1333C22×C4C2511yescharacteristic
1334C22×C4C2511yescharacteristic
1335C22×C4C2511yescharacteristic
1336C22×C4C2512yes—
1337C22×C4C2512yes—
1338C22×C4C2512yes—
1339C22×C4C2514yes—
1340C22×C4C2512yes—
1341C22×C4C2512yes—
1342C22×C4C2511yescharacteristic
1343C22×C4C2511yescharacteristic
1344C22×C4C2511yescharacteristic
1345C22×C4C2512yes—
1346C22×C4C2511yescharacteristic
1347C22×C4C2511yescharacteristic
1348C4⋊C4—22no—
1349C4⋊C4—24no—
1350C4⋊C4—24no—
1351C4⋊C4—24no—
1352C4⋊C4—22no—
1353C4⋊C4—28no—
1354C4⋊C4—24no—
1355C4⋊C4—22no—
1356C4⋊C4—24no—
1357C4⋊C4—24no—
1358C4⋊C4—22no—
1359C4⋊C4—22no—
1360C4⋊C4—24no—
1361C4⋊C4—24no—
1362C4⋊C4—24no—
1363C4⋊C4—22no—
1364C4⋊C4—22no—
1365C4⋊C4—22no—
1366C4⋊C4—22no—
1367C4⋊C4—44no—
1368C4⋊C4—44no—
1369C4⋊C4—44no—
1370C4⋊C4—44no—
1371C4⋊C4—44no—
1372C4⋊C4—42no—
1373C4⋊C4—42no—
1374C4⋊C4—44no—
1375C4⋊C4—42no—
1376C4⋊C4—42no—
1377C4⋊C4—44no—
1378C4⋊C4—44no—
1379C4⋊C4—42no—
1380C4⋊C4—42no—
1381C4⋊C4—42no—
1382C4⋊C4—41no—
1383C4⋊C4—41no—
1384C4⋊C4—44no—
1385C4⋊C4—44no—
1386C4⋊C4—42no—
1387C4⋊C4—44no—
1388C4⋊C4—42no—
1389C4⋊C4—44no—
1390C4⋊C4—42no—
1391C4⋊C4—44no—
1392C4⋊C4—42no—
1393C4⋊C4C23×C418yes—
1394C4⋊C4C23×C418yes—
1395C4⋊C4C23×C4116yes—
1396C4⋊C4C23×C4116yes—
1397C4⋊C4C23×C418yes—
1398C4⋊C4C23×C418yes—
1399C4⋊C4C23×C418yes—
1400C4⋊C4C23×C418yes—
1401C4⋊C4C23×C414yes—
1402C4⋊C4C23×C414yes—
1403C4⋊C4C23×C418yes—
1404C4⋊C4C23×C418yes—
1405C4⋊C4C23×C414yes—
1406C4⋊C4C23×C418yes—
1407C4⋊C4C23×C414yes—
1408C4⋊C4C23×C418yes—
1409C4⋊C4C23×C4116yes—
1410C4⋊C4C23×C418yes—
1411C4⋊C4C23×C418yes—
1412C4⋊C4C23×C4116yes—
1413C4⋊C4C23×C418yes—
1414C4⋊C42−1+414yes—
1415C22⋊C4—24no—
1416C22⋊C4—24no—
1417C22⋊C4—22no—
1418C22⋊C4—22no—
1419C22⋊C4—28no—
1420C22⋊C4—24no—
1421C22⋊C4—24no—
1422C22⋊C4—28no—
1423C22⋊C4—42no—
1424C22⋊C4—44no—
1425C22⋊C4—44no—
1426C22⋊C4—42no—
1427C22⋊C4—41no—
1428C22⋊C4—41no—
1429C22⋊C4—42no—
1430C22⋊C4—44no—
1431C22⋊C4—44no—
1432C22⋊C4—44no—
1433C22⋊C4—44no—
1434C22⋊C4—44no—
1435C22⋊C4—44no—
1436C22⋊C4—44no—
1437C22⋊C4—44no—
1438C22⋊C4—42no—
1439C22⋊C4—44no—
1440C22⋊C4—42no—
1441C22⋊C4—44no—
1442C22⋊C4—42no—
1443C22⋊C4—44no—
1444C22⋊C4C23×C418yes—
1445C22⋊C4C23×C418yes—
1446C22⋊C4C23×C418yes—
1447C22⋊C4C23×C418yes—
1448C22⋊C4C23×C418yes—
1449C22⋊C4C23×C418yes—
1450C22⋊C4C23×C4116yes—
1451C22⋊C4C23×C4116yes—
1452C22⋊C4C23×C4116yes—
1453C22⋊C4C23×C4116yes—
1454C22⋊C4C23×C4116yes—
1455C22⋊C4C23×C418yes—
1456C22⋊C4C23×C4116yes—
1457C22⋊C4C23×C4116yes—
1458C42—22no—
1459C42—24no—
1460C42—24no—
1461C42—28no—
1462C42—24no—
1463C42—24no—
1464C42—22no—
1465C42—24no—
1466C42—24no—
1467C42—22no—
1468C42—22no—
1469C42—24no—
1470C42—22no—
1471C42—22no—
1472C42—22no—
1473C42—24no—
1474C42—42no—
1475C42—42no—
1476C42—42no—
1477C42—42no—
1478C42—44no—
1479C42—44no—
1480C42—41no—
1481C42—42no—
1482C42—42no—
1483C42—41no—
1484C42—42no—
1485C42—42no—
1486C42—42no—
1487C42—44no—
1488C42—44no—
1489C42—44no—
1490C42—44no—
1491C42—44no—
1492C42—41no—
1493C42—42no—
1494C42—41no—
1495C42—44no—
1496C42—44no—
1497C42—42no—
1498C42—44no—
1499C42—42no—
1500C42—42no—
1501C42—42no—
1502C42C23×C414yes—
1503C42C23×C414yes—
1504C42C23×C414yes—
1505C42C23×C414yes—
1506C42C23×C418yes—
1507C42C23×C418yes—
1508C42C23×C418yes—
1509C42C23×C4116yes—
1510C42H(5,𝔽2)14yes—
1511C23—22no—
1512C23—21no—
1513C23—24no—
1514C23—21no—
1515C23—22no—
1516C23—24no—
1517C23—24no—
1518C23—22no—
1519C23—21no—
1520C23—21no—
1521C23—24no—
1522C23—22no—
1523C23—22no—
1524C23—24no—
1525C23—21no—
1526C23—21no—
1527C23—24no—
1528C23—22no—
1529C23C24×C414yes—
1530C23C24×C412yes—
1531C23C24×C418yes—
1532C23C2611yescharacteristic
1533Q8—28no—
1534Q8—216no—
1535Q8—28no—
1536Q8—28no—
1537Q8—416no—
1538Q8—48no—
1539D4—216no—
1540D4—28no—
1541D4—216no—
1542D4—48no—
1543D4—48no—
1544D4—416no—
1545D4—416no—
1546D4—416no—
1547C2×C4—22no—
1548C2×C4—24no—
1549C2×C4—22no—
1550C2×C4—22no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—22no—
1555C2×C4—22no—
1556C2×C4—21no—
1557C2×C4—22no—
1558C2×C4—21no—
1559C2×C4—22no—
1560C2×C4—22no—
1561C2×C4—24no—
1562C2×C4—22no—
1563C2×C4—21no—
1564C2×C4—22no—
1565C2×C4—21no—
1566C2×C4—22no—
1567C2×C4—22no—
1568C2×C4—22no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—22no—
1575C2×C4—22no—
1576C2×C4—22no—
1577C2×C4—216no—
1578C2×C4—28no—
1579C2×C4—28no—
1580C2×C4—21no—
1581C2×C4—22no—
1582C2×C4—22no—
1583C2×C4—22no—
1584C2×C4—24no—
1585C2×C4—21no—
1586C2×C4—22no—
1587C2×C4—24no—
1588C2×C4—21no—
1589C2×C4—22no—
1590C2×C4—22no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—22no—
1594C2×C4—22no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—22no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—22no—
1604C2×C4—22no—
1605C2×C4—22no—
1606C2×C4—22no—
1607C2×C4—22no—
1608C2×C4—24no—
1609C2×C4—24no—
1610C2×C4—21no—
1611C2×C4—22no—
1612C2×C4—24no—
1613C2×C4—21no—
1614C2×C4—24no—
1615C2×C4—22no—
1616C2×C4—22no—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—22no—
1620C2×C4—22no—
1621C2×C4—22no—
1622C2×C4—22no—
1623C2×C4—21no—
1624C2×C4—21no—
1625C2×C4—416no—
1626C2×C4—44no—
1627C2×C4—416no—
1628C2×C4—416no—
1629C2×C4—416no—
1630C2×C4—84no—
1631C2×C4—88no—
1632C2×C4—88no—
1633C2×C4—84no—
1634C2×C4—164no—
1635C2×C4—164no—
1636C2×C4—164no—
1637C2×C4—164no—
1638C2×C4C24×C414yes—
1639C2×C4C24×C414yes—
1640C2×C4C24×C412yes—
1641C2×C4C24×C412yes—
1642C2×C4C24×C412yes—
1643C2×C4C24×C412yes—
1644C2×C4C24×C414yes—
1645C2×C4C24×C414yes—
1646C2×C4C24×C414yes—
1647C2×C4C24×C418yes—
1648C2×C4C24×C414yes—
1649C2×C4C24×C414yes—
1650C2×C4C24×C412yes—
1651C2×C4C24×C412yes—
1652C2×C4C2×H(5,𝔽2)12yes—
1653C2×C4C2×H(5,𝔽2)12yes—
1654C2×C4C2×H(5,𝔽2)12yes—
1655C2×C4C2×2−1+414yes—
1656C2×C4C2×2−1+412yes—
1657C2×C4#58512yes—
1658C2×C4#58512yes—
1659C22—24no—
1660C22—22no—
1661C22—28no—
1662C22—22no—
1663C22—24no—
1664C22—28no—
1665C22—22no—
1666C22—28no—
1667C22—24no—
1668C22—42no—
1669C22—41no—
1670C22—44no—
1671C22—44no—
1672C22—42no—
1673C22—41no—
1674C22—44no—
1675C22—41no—
1676C22—42no—
1677C22—42no—
1678C22—44no—
1679C22—41no—
1680C22C25×C411yescharacteristic
1681C22C22×H(5,𝔽2)11yescharacteristic
1682C22C22×2−1+411yescharacteristic
1683C22C2×#58511yescharacteristic
1684C22C2×#58511yescharacteristic
1685C22H(7,𝔽2)11yescharacteristic
1686C222−1+611yescharacteristic
1687C4—22no—
1688C4—24no—
1689C4—24no—
1690C4—28no—
1691C4—24no—
1692C4—22no—
1693C4—24no—
1694C4—24no—
1695C4—24no—
1696C4—22no—
1697C4—22no—
1698C4—24no—
1699C4—22no—
1700C4—24no—
1701C4—22no—
1702C4—41no—
1703C4—42no—
1704C4—42no—
1705C4—41no—
1706C4—41no—
1707C4—42no—
1708C4—44no—
1709C4—42no—
1710C4—44no—
1711C4—41no—
1712C4—42no—
1713C4—42no—
1714C4—41no—
1715C4—42no—
1716C4—41no—
1717C4C4×H(5,𝔽2)14yes—
1718C4C4×2−1+414yes—
1719C2—44no—
1720C2—42no—
1721C2—48no—
1722C2C2×C4×H(5,𝔽2)11yescharacteristic
1723C2C2×C4×2−1+411yescharacteristic
1724C2#6265411yescharacteristic
1725C2#6294611yescharacteristic
1726C2#6295111yescharacteristic
1727C2#6296111yescharacteristic
1728C2#6296711yescharacteristic
subgroupG/H
center, Frattini, socle, cosocleC23C26
commutatorC22C25×C4
prime radicalC2×#3554C2
LCSG ▷ C22 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
2. #34527C2semidirect
3. #34515C2semidirect
4. #34500C2semidirect
5. #34498C2semidirect
6. #34489C2semidirect
7. #34488C2semidirect
8. #34473C2semidirect
9. #34472C2semidirect
10. #34452C2semidirect
11. #34439C2semidirect
12. #34431C2semidirect
13. #34428C2semidirect
14. #34428C2semidirect
15. #34417C2semidirect
16. #34384C2semidirect
17. #34334C2semidirect
18. #34332C2semidirect
19. #34331C2semidirect
20. #34330C2semidirect
21. #34313C2semidirect
22. #34312C2semidirect
23. #34311C2semidirect
24. #34308C2semidirect
25. #34287C2semidirect
26. #34285C2semidirect
27. #34276C2semidirect
28. #34232C2semidirect
29. #34214C2semidirect
30. #34207C2semidirect
31. C4×#557C2semidirect
32. C4×#559C2semidirect
33. #34151C2semidirect
34. C4×#542C2semidirect
35. #34085C2semidirect
36. #3554C4semidirect
303. #562C2×C4semidirect
304. #559C2×C4semidirect
305. #559C2×C4semidirect
306. #557C2×C4semidirect
307. #554C2×C4semidirect
308. #550C2×C4semidirect
309. D4×Q8C2×C4semidirect
310. #548C2×C4semidirect
311. #547C2×C4semidirect
312. #542C2×C4semidirect
313. #542C2×C4semidirect
314. #540C2×C4semidirect
315. #539C2×C4semidirect
316. #536C2×C4semidirect
317. #533C2×C4semidirect
318. #532C2×C4semidirect
326. #529C2×C4semidirect

Maximal subgroups

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

subgroupindex
C2×#35542
#345272
#345152
#345002
#344982
#344892
#344882
#344732
#344722
#344522
#344392
#344312
#344282
#344172
#343842
#343342
#343322
#343312
#343302
#343132
#343122
#343112
#343082
#342872
#342852
#342762
#342322
#342142
#342072
C4×#5572
C4×#5592
#341512
C4×#5422
#340852