Finite Group Databasebeta

← #7626931

Subgroups — #7626931

Order 512.

6524 conjugacy classes of subgroups.

The subgroup lattice has 1665 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3507C211yesmaximal, characteristic
2#34501C214yesmaximal, complemented
3#34499C212yesmaximal, complemented
4#34499C212yesmaximal, complemented
5#34498C211yesmaximal, characteristic, complemented
6#34489C212yesmaximal, complemented
7#34488C211yesmaximal, characteristic, complemented
8#34481C212yesmaximal, complemented
9#34459C214yesmaximal, complemented
10#34444C214yesmaximal, complemented
11#34443C214yesmaximal, complemented
12#34439C212yesmaximal, complemented
13#34439C212yesmaximal, complemented
14#34397C212yesmaximal, complemented
15#34393C211yesmaximal, characteristic
16#34383C212yesmaximal, complemented
17#34374C211yesmaximal, characteristic, complemented
18#34337C211yesmaximal, characteristic, complemented
19#34333C212yesmaximal, complemented
20#34331C211yesmaximal, characteristic, complemented
21#34331C211yesmaximal, characteristic, complemented
22#34328C211yesmaximal, characteristic, complemented
23#34326C212yesmaximal, complemented
24#34326C212yesmaximal, complemented
25#34324C212yesmaximal, complemented
26#34263C212yesmaximal, complemented
27#34260C212yesmaximal, complemented
28#34227C212yesmaximal, complemented
29#34226C211yesmaximal, characteristic
30#34196C211yesmaximal, characteristic, complemented
31C4×#557C211yesmaximal, characteristic, complemented
32C4×#559C211yesmaximal, characteristic, complemented
33Q8×#117C211yesmaximal, characteristic, complemented
34#34085C211yesmaximal, characteristic, complemented
35#34084C212yesmaximal, complemented
36#3507C4132yescomplemented
37C2×#559C2211yescharacteristic
38C2×#559C2211yescharacteristic
39C2×#557C2211yescharacteristic
40C2×#557C2211yescharacteristic
41C2×#556C2212yes—
42C2×#556C2212yes—
43C2×#556C2212yes—
44C2×#554C2212yes—
45C2×#552C2214yes—
46C2×#539C2214yes—
47C2×#536C2212yes—
48C2×#533C2211yescharacteristic
49C2×#532C2211yescharacteristic
50C2×#529C2212yes—
51C2×#529C2212yes—
52C2×#520C2212yes—
53C22×C4×Q8C2211yescharacteristic
54#2383C2214yes—
55#2383C2214yes—
56#2383C2214yes—
57#2382C2214yes—
58#2382C2214yes—
59#2378C2214yes—
60#2378C2214yes—
61#2378C2214yes—
62#2377C2214yes—
63#2376C2214yes—
64#2376C2214yes—
65#2376C2214yes—
66#2374C2214yes—
67#2374C2214yes—
68#2374C2214yes—
69#2373C2214yes—
70#2373C2214yes—
71#2373C2214yes—
72#2373C2214yes—
73#2373C2214yes—
74#2371C2214yes—
75#2370C2212yes—
76#2370C2212yes—
77#2370C2212yes—
78#2370C2214yes—
79#2370C2212yes—
80#2370C2214yes—
81#2368C2214yes—
82#2368C2214yes—
83#2368C2214yes—
84#2367C2212yes—
85#2367C2212yes—
86#2367C2212yes—
87#2367C2212yes—
88#2367C2212yes—
89#2367C2212yes—
90#2367C2212yes—
91#2367C2212yes—
92#2367C2212yes—
93#2367C2212yes—
94#2366C2211yescharacteristic
95#2366C2211yescharacteristic
96#2365C2212yes—
97#2365C2212yes—
98#2365C2212yes—
99#2365C2211yescharacteristic
100#2365C2212yes—
101#2365C2212yes—
102#2365C2211yescharacteristic
103#2365C2212yes—
104#2363C2212yes—
105#2363C2212yes—
106#2362C2214yes—
107#2360C2214yes—
108#2359C2214yes—
109#2359C2214yes—
110#2357C2212yes—
111#2357C2212yes—
112#2357C2212yes—
113#2357C2214yes—
114#2357C2212yes—
115#2356C2212yes—
116#2356C2212yes—
117#2355C2211yescharacteristic
118#2355C2212yes—
119#2355C2211yescharacteristic
120#2355C2212yes—
121#2355C2212yes—
122#2355C2212yes—
123#2355C2211yescharacteristic
124#2355C2211yescharacteristic
125#2355C2211yescharacteristic
126#2355C2212yes—
127#2355C2211yescharacteristic
128#2355C2212yes—
129#2355C2212yes—
130#2354C2212yes—
131#2354C2212yes—
132#2354C2214yes—
133#2353C2214yes—
134#2352C2214yes—
135#2351C2212yes—
136#2351C2212yes—
137Q8×C4⋊C4C2212yes—
138Q8×C4⋊C4C2211yescharacteristic
139Q8×C4⋊C4C2211yescharacteristic
140Q8×C4⋊C4C2212yes—
141Q8×C4⋊C4C2211yescharacteristic
142Q8×C4⋊C4C2212yes—
143Q8×C4⋊C4C2211yescharacteristic
144Q8×C4⋊C4C2211yescharacteristic
145Q8×C4⋊C4C2211yescharacteristic
146#2349C2212yes—
147#2349C2212yes—
148#2349C2212yes—
149#2349C2212yes—
150D4×C4⋊C4C2212yes—
151D4×C4⋊C4C2212yes—
152#2347C2214yes—
153#2346C2214yes—
154#2345C2214yes—
155#2345C2212yes—
156#2345C2212yes—
157#2345C2211yescharacteristic
158#2345C2211yescharacteristic
159#2344C2214yes—
160#2344C2212yes—
161#2344C2214yes—
162#2343C2214yes—
163#2343C2214yes—
164#2343C2214yes—
165#2343C2214yes—
166#2341C2212yes—
167#2341C2212yes—
168Q8×C22⋊C4C2211yescharacteristic
169Q8×C22⋊C4C2211yescharacteristic
170Q8×C22⋊C4C2212yes—
171#2339C2212yes—
172#2339C2212yes—
173#2336C2214yes—
174#2336C2212yes—
175#2336C2212yes—
176#2336C2214yes—
177#2335C2214yes—
178#2335C2214yes—
179#2335C2214yes—
180#2335C2214yes—
181#2335C2214yes—
182#2335C2214yes—
183#2334C2214yes—
184#2334C2214yes—
185#2334C2214yes—
186#2334C2214yes—
187#2334C2214yes—
188#2334C2214yes—
189#2334C2214yes—
190#2332C2214yes—
191#2332C2214yes—
192#2332C2212yes—
193#2332C2212yes—
194#2332C2214yes—
195#2331C2211yescharacteristic
196#2331C2211yescharacteristic
197#2330C2212yes—
198#2330C2214yes—
199#2330C2212yes—
200#2329C2214yes—
201#2329C2214yes—
202#2329C2214yes—
203#2327C2211yescharacteristic
204#2327C2212yes—
205#2327C2212yes—
206#2327C2211yescharacteristic
207#2326C2212yes—
208#2326C2212yes—
209#2326C2212yes—
210#2326C2212yes—
211#2326C2212yes—
212#2326C2212yes—
213#2324C2212yes—
214#2324C2212yes—
215#2324C2212yes—
216#2324C2212yes—
217#2323C2211yescharacteristic
218#2323C2212yes—
219#2323C2211yescharacteristic
220#2323C2211yescharacteristic
221#2323C2211yescharacteristic
222#2323C2212yes—
223#2323C2214yes—
224#2323C2214yes—
225#2322C2214yes—
226#2320C2214yes—
227#2320C2212yes—
228#2320C2212yes—
229#2320C2212yes—
230#2319C2214yes—
231#2319C2212yes—
232#2319C2212yes—
233#2319C2212yes—
234#2318C2214yes—
235#2318C2214yes—
236#2317C2214yes—
237#2314C2212yes—
238#2314C2212yes—
239#2314C2214yes—
240#2314C2214yes—
241#2313C2214yes—
242C4×C4⋊Q8C2212yes—
243C4×C4⋊Q8C2211yescharacteristic
244C4×C4⋊Q8C2211yescharacteristic
245C4×C4⋊Q8C2212yes—
246C4×#127C2211yescharacteristic
247C4×#127C2211yescharacteristic
248C4×#125C2212yes—
249C4×#125C2212yes—
250C4×#125C2214yes—
251C4×#126C2214yes—
252C4×#124C2212yes—
253C4×#124C2212yes—
254C4×#124C2212yes—
255C4×#124C2212yes—
256C4×C22⋊Q8C2214yes—
257C4×#123C2214yes—
258#2298C2214yes—
259#2298C2214yes—
260#2298C2212yes—
261#2298C2212yes—
262#2296C2214yes—
263#2295C2212yes—
264#2295C2212yes—
265#2295C2212yes—
266#2295C2212yes—
267#2295C2211yescharacteristic
268#2295C2211yescharacteristic
269#2295C2211yescharacteristic
270#2295C2212yes—
271#2295C2211yescharacteristic
272#2295C2212yes—
273#2293C2212yes—
274#2293C2212yes—
275#2293C2214yes—
276#2290C2214yes—
277C2×#387C2214yes—
278#2285C2212yes—
279#2285C2211yescharacteristic
280#2285C2211yescharacteristic
281#2285C2212yes—
282#2283C2211yescharacteristic
283#2283C2212yes—
284#2276C2212yes—
285#2276C2212yes—
286#2276C2212yes—
287#2275C2212yes—
288#2275C2212yes—
289#2275C2212yes—
290C42×Q8C2212yes—
291C42×Q8C2212yes—
292C42×Q8C2211yescharacteristic
293C42×Q8C2211yescharacteristic
294C42×Q8C2211yescharacteristic
295C42×Q8C2211yescharacteristic
296C42×D4C2212yes—
297C42×D4C2212yes—
298C4×#117C2212yes—
299C4×#117C2211yescharacteristic
300C22×#41C2312yes—
301C23×Q8C2311yescharacteristic
302#559C2×C4116yes—
303#559C2×C4116yes—
304#557C2×C4116yescomplemented
305#557C2×C4116yescomplemented
306#556C2×C4132yescomplemented
307#556C2×C4132yescomplemented
308#556C2×C4132yescomplemented
309#554C2×C4132yescomplemented
310#552C2×C4164yescomplemented
311#539C2×C4164yescomplemented
312#536C2×C4132yescomplemented
313#533C2×C4116yescomplemented
314#532C2×C4116yes—
315C2×C4⋊Q8C2311yescharacteristic
316C2×C4⋊Q8C2312yes—
317C2×C4⋊Q8C2312yes—
318C2×C4⋊Q8C2311yescharacteristic
319C2×C4⋊Q8C2311yescharacteristic
320C2×#127C2311yescharacteristic
321#529C2×C4132yescomplemented
322#529C2×C4132yescomplemented
323C2×#126C2314yes—
324C2×#126C2314yes—
325C2×#126C2314yes—
326C2×#126C2314yes—
327C2×#125C2312yes—
328C2×#125C2314yes—
329C2×#125C2312yes—
330C2×#125C2314yes—
331C2×#125C2312yes—
332C2×#124C2312yes—
333C2×#124C2312yes—
334C2×#124C2312yes—
335C2×#124C2312yes—
336C2×#124C2312yes—
337C2×#123C2314yes—
338C2×#123C2314yes—
339C2×#123C2314yes—
340C2×#123C2314yes—
341C2×C22⋊Q8C2311yescharacteristic
342C2×C22⋊Q8C2311yescharacteristic
343C2×C22⋊Q8C2312yes—
344C2×C22⋊Q8C2314yes—
345C2×C22⋊Q8C2314yes—
346C2×C22⋊Q8C2314yes—
347C2×C22⋊Q8C2314yes—
348C2×#121C2312yes—
349C2×#121C2312yes—
350#520C2×C4132yescomplemented
351C2×C4×Q8C2×C4116yescomplemented
352C2×C4×Q8C2311yescharacteristic
353C2×C4×Q8C2311yescharacteristic
354C2×C4×Q8C2311yescharacteristic
355C2×C4×Q8C2312yes—
356C2×C4×Q8C2312yes—
357C2×C4×Q8C2312yes—
358C2×C4×Q8C2312yes—
359C2×C4×Q8C2312yes—
360C2×C4×Q8C2311yescharacteristic
361C2×C4×Q8C2311yescharacteristic
362C2×C4×Q8C2312yes—
363C2×C4×Q8C2311yescharacteristic
364C2×C4×Q8C2312yes—
365C2×C4×Q8C2311yescharacteristic
366C2×C4×Q8C2312yes—
367C2×C4×Q8C2311yescharacteristic
368C2×C4×Q8C2314yes—
369C2×C4×Q8C2311yescharacteristic
370C2×C4×Q8C2312yes—
371C2×C4×Q8C2312yes—
372C2×C4×Q8C2312yes—
373C2×C4×Q8C2311yescharacteristic
374C2×C4×Q8C2312yes—
375C2×C4×Q8C2311yescharacteristic
376C2×C4×Q8C2311yescharacteristic
377C2×C4×Q8C2312yes—
378C2×C4×Q8C2312yes—
379C2×C4×Q8C2311yescharacteristic
380C2×C4×Q8C2311yescharacteristic
381C2×C4×Q8C2312yes—
382C2×C4×D4C2312yes—
383C2×C4×D4C2312yes—
384C2×C4×D4C2312yes—
385C2×C4×D4C2312yes—
386C2×C4×D4C2312yes—
387C2×C4×D4C2312yes—
388C2×C4×D4C2312yes—
389C2×C4×D4C2312yes—
390C2×C4×D4C2312yes—
391C2×C4×D4C2312yes—
392C2×C4×D4C2312yes—
393C2×C4×D4C2314yes—
394C2×C4×D4C2312yes—
395C2×C4×D4C2312yes—
396C2×C4×D4C2312yes—
397C2×C4×D4C2312yes—
398C2×C4×D4C2314yes—
399C2×C4×D4C2312yes—
400C2×#117C2311yescharacteristic
401C2×#117C2311yescharacteristic
402C2×#117C2312yes—
403C2×#117C2314yes—
404C2×#117C2312yes—
405C2×#117C2314yes—
406C2×#117C2314yes—
407C2×#117C2312yes—
408C2×#117C2314yes—
409C2×#117C2314yes—
410C2×#117C2314yes—
411C22×C4⋊C4C2314yes—
412C22×C4⋊C4C2314yes—
413C22×C4⋊C4C2311yescharacteristic
414C22×C4⋊C4C2312yes—
415C22×C42C2314yes—
416C22×C42C2312yes—
417C22×C42C2311yescharacteristic
418#391C2312yes—
419#391C2311yescharacteristic
420#391C2312yes—
421#391C2312yes—
422#391C2312yes—
423#391C2311yescharacteristic
424#391C2312yes—
425#391C2312yes—
426#391C2314yes—
427#391C2314yes—
428#391C2312yes—
429#391C2311yescharacteristic
430#391C2312yes—
431#391C2311yescharacteristic
432#391C2311yescharacteristic
433#391C2314yes—
434#391C2311yescharacteristic
435#391C2312yes—
436#391C2311yescharacteristic
437#391C2312yes—
438#391C2312yes—
439#391C2312yes—
440#391C2312yes—
441#391C2312yes—
442#391C2312yes—
443#391C2312yes—
444#391C2311yescharacteristic
445#390C2312yes—
446#390C2312yes—
447#390C2312yes—
448#390C2312yes—
449#390C2312yes—
450#390C2312yes—
451#390C2314yes—
452#390C2314yes—
453#390C2312yes—
454#390C2312yes—
455#390C2312yes—
456#390C2314yes—
457#390C2314yes—
458#390C2312yes—
459#389C2311yescharacteristic
460#389C2312yes—
461#389C2312yes—
462#389C2312yes—
463#389C2314yes—
464#389C2314yes—
465#389C2314yes—
466#389C2312yes—
467#389C2314yes—
468#389C2314yes—
469#389C2312yes—
470#389C2314yes—
471#389C2312yes—
472#389C2312yes—
473#389C2314yes—
474#389C2314yes—
475#389C2311yescharacteristic
476#389C2312yes—
477#389C2314yes—
478#389C2314yes—
479#389C2312yes—
480#389C2311yescharacteristic
481#389C2314yes—
482#389C2314yes—
483#389C2312yes—
484#389C2311yescharacteristic
485#389C2314yes—
486#389C2312yes—
487#389C2311yescharacteristic
488#389C2311yescharacteristic
489#389C2312yes—
490#389C2314yes—
491#389C2314yes—
492#389C2312yes—
493#389C2312yes—
494#389C2312yes—
495#389C2312yes—
496#389C2314yes—
497#389C2314yes—
498#389C2314yes—
499#389C2314yes—
500#389C2312yes—
501#389C2312yes—
502#389C2311yescharacteristic
503#389C2311yescharacteristic
504#388C2314yes—
505#388C2314yes—
506#388C2314yes—
507#388C2314yes—
508#388C2314yes—
509#388C2314yes—
510#388C2314yes—
511#388C2314yes—
512#388C2314yes—
513#388C2314yes—
514#388C2314yes—
515#388C2314yes—
516#388C2314yes—
517#388C2314yes—
518#388C2314yes—
519#388C2312yes—
520#388C2314yes—
521#388C2312yes—
522#388C2314yes—
523#388C2314yes—
524#388C2314yes—
525#388C2314yes—
526#388C2314yes—
527#388C2314yes—
528#388C2314yes—
529#388C2312yes—
530#388C2312yes—
531#388C2312yes—
532#388C2312yes—
533#388C2312yes—
534#388C2312yes—
535#388C2314yes—
536#388C2314yes—
537#388C2314yes—
538#388C2314yes—
539#388C2314yes—
540#388C2314yes—
541#388C2314yes—
542#388C2314yes—
543#388C2314yes—
544#388C2314yes—
545#388C2314yes—
546#388C2314yes—
547#388C2314yes—
548#387C2312yes—
549#387C2312yes—
550#387C2314yes—
551#387C2314yes—
552#387C2314yes—
553#387C2314yes—
554#387C2314yes—
555#387C2314yes—
556#387C2314yes—
557#387C2314yes—
558#387C2314yes—
559#387C2312yes—
560#387C2312yes—
561#387C2314yes—
562#387C2314yes—
563#387C2314yes—
564#387C2314yes—
565#387C2312yes—
566#387C2312yes—
567#387C2312yes—
568#387C2314yes—
569#387C2314yes—
570#387C2314yes—
571#387C2314yes—
572#387C2314yes—
573#387C2314yes—
574#387C2314yes—
575#387C2314yes—
576#387C2314yes—
577#387C2314yes—
578#387C2314yes—
579#387C2314yes—
580#387C2314yes—
581#387C2312yes—
582#387C2312yes—
583#387C2312yes—
584#387C2314yes—
585#387C2314yes—
586#387C2312yes—
587#387C2312yes—
588#387C2314yes—
589#387C2314yes—
590#387C2314yes—
591#387C2314yes—
592#387C2312yes—
593#387C2312yes—
594#387C2314yes—
595#387C2312yes—
596#387C2312yes—
597#387C2312yes—
598#387C2312yes—
599#387C2312yes—
600#387C2314yes—
601#387C2312yes—
602#387C2314yes—
603#387C2314yes—
604#387C2312yes—
605#387C2312yes—
606#387C2312yes—
607#387C2314yes—
608#387C2312yes—
609#387C2312yes—
610#387C2312yes—
611#387C2312yes—
612#387C2314yes—
613#387C2314yes—
614#387C2314yes—
615#387C2312yes—
616#387C2312yes—
617#387C2312yes—
618#387C2312yes—
619#387C2312yes—
620#386C2314yes—
621#386C2314yes—
622#386C2314yes—
623#386C2314yes—
624#386C2314yes—
625#386C2314yes—
626#385C2314yes—
627#385C2314yes—
628#385C2314yes—
629#385C2314yes—
630#385C2314yes—
631#385C2314yes—
632#385C2314yes—
633#385C2314yes—
634#385C2314yes—
635#385C2314yes—
636#385C2314yes—
637#385C2314yes—
638#385C2314yes—
639#385C2314yes—
640#385C2314yes—
641#385C2314yes—
642#385C2314yes—
643#385C2314yes—
644#384C2311yescharacteristic
645#384C2311yescharacteristic
646#384C2312yes—
647#384C2312yes—
648#384C2312yes—
649#384C2314yes—
650#384C2312yes—
651#384C2311yescharacteristic
652#384C2311yescharacteristic
653#384C2312yes—
654#384C2312yes—
655#383C2314yes—
656#383C2312yes—
657#383C2314yes—
658#383C2314yes—
659#382C2314yes—
660#382C2312yes—
661#382C2312yes—
662#382C2314yes—
663#382C2314yes—
664#382C2312yes—
665#382C2312yes—
666#382C2314yes—
667#382C2312yes—
668#382C2312yes—
669#382C2311yescharacteristic
670#382C2311yescharacteristic
671#382C2312yes—
672#382C2312yes—
673#381C2314yes—
674#381C2314yes—
675#381C2314yes—
676#381C2314yes—
677#381C2314yes—
678#381C2312yes—
679#380C2314yes—
680#380C2314yes—
681#380C2311yescharacteristic
682#380C2312yes—
683#380C2311yescharacteristic
684#380C2314yes—
685#380C2314yes—
686#380C2314yes—
687#380C2312yes—
688#380C2312yes—
689#380C2314yes—
690#380C2311yescharacteristic
691#380C2311yescharacteristic
692#380C2312yes—
693#380C2312yes—
694#380C2314yes—
695#380C2312yes—
696#380C2312yes—
697C4×C4⋊C4C2314yes—
698C4×C4⋊C4C2314yes—
699C4×C4⋊C4C2314yes—
700C4×C4⋊C4C2314yes—
701C4×C4⋊C4C2312yes—
702C4×C4⋊C4C2311yescharacteristic
703C4×C4⋊C4C2312yes—
704C4×C4⋊C4C2312yes—
705C4×C4⋊C4C2314yes—
706C4×C4⋊C4C2312yes—
707C4×C4⋊C4C2314yes—
708C4×C4⋊C4C2314yes—
709C4×C4⋊C4C2312yes—
710C4×C4⋊C4C2312yes—
711C4×C4⋊C4C2314yes—
712C4×C4⋊C4C2312yes—
713C4×C4⋊C4C2314yes—
714C4×C4⋊C4C2314yes—
715C4×C4⋊C4C2312yes—
716C4×C4⋊C4C2314yes—
717C4×C4⋊C4C2312yes—
718C4×C4⋊C4C2312yes—
719C4×C4⋊C4C2314yes—
720C4×C4⋊C4C2314yes—
721C4×C4⋊C4C2314yes—
722C4×C4⋊C4C2312yes—
723C4×C4⋊C4C2312yes—
724C4×C4⋊C4C2312yes—
725C4×C4⋊C4C2312yes—
726C4×C4⋊C4C2314yes—
727C4×C4⋊C4C2312yes—
728C4×C4⋊C4C2312yes—
729C4×C4⋊C4C2311yescharacteristic
730C4×C4⋊C4C2312yes—
731C4×C4⋊C4C2311yescharacteristic
732C4×C4⋊C4C2311yescharacteristic
733C4×C4⋊C4C2312yes—
734C4×C4⋊C4C2312yes—
735C4×C4⋊C4C2314yes—
736C4×C4⋊C4C2312yes—
737C4×C4⋊C4C2312yes—
738C4×C4⋊C4C2312yes—
739C4×C4⋊C4C2312yes—
740C4×C4⋊C4C2314yes—
741C4×C4⋊C4C2314yes—
742C4×C4⋊C4C2314yes—
743C4×C4⋊C4C2314yes—
744C4×C4⋊C4C2312yes—
745C4×C4⋊C4C2314yes—
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2311yescharacteristic
748C4×C4⋊C4C2311yescharacteristic
749C4×C4⋊C4C2314yes—
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2311yescharacteristic
753C4×C4⋊C4C2311yescharacteristic
754C4×C4⋊C4C2311yescharacteristic
755C4×C4⋊C4C2311yescharacteristic
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2311yescharacteristic
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C22⋊C4C2314yes—
777C4×C22⋊C4C2314yes—
778C4×C22⋊C4C2314yes—
779C4×C22⋊C4C2314yes—
780C4×C22⋊C4C2314yes—
781C4×C22⋊C4C2314yes—
782C4×C22⋊C4C2314yes—
783C4×C22⋊C4C2314yes—
784C4×C22⋊C4C2314yes—
785C4×C22⋊C4C2314yes—
786C4×C22⋊C4C2314yes—
787C4×C22⋊C4C2311yescharacteristic
788C4×C22⋊C4C2311yescharacteristic
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2311yescharacteristic
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2311yescharacteristic
801C4×C22⋊C4C2314yes—
802C4×C22⋊C4C2314yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2314yes—
806#376C2311yescharacteristic
807#376C2312yes—
808#376C2312yes—
809#376C2314yes—
810#376C2312yes—
811#376C2312yes—
812#376C2314yes—
813#376C2312yes—
814#376C2311yescharacteristic
815#376C2314yes—
816#376C2314yes—
817C2×#95C2314yes—
818C2×#95C2314yes—
819C2×#95C2314yes—
820C2×#95C2314yes—
821C43C2314yes—
822C43C2312yes—
823C43C2312yes—
824C43C2311yescharacteristic
825C43C2311yescharacteristic
826C43C2312yes—
827C43C2312yes—
828C2×#41—44no—
829C2×#41—44no—
830C2×#41C22×C4116yes—
831C22×Q8—42no—
832C22×Q8—42no—
833C22×Q8C22×C418yes—
834C22×Q8C2411yescharacteristic
835C22×Q8C2411yescharacteristic
836C22×Q8C2411yescharacteristic
837C22×Q8C2411yescharacteristic
838C22×Q8C2412yes—
839C22×Q8C2412yes—
840C22×Q8C2412yes—
841C22×D4C2412yes—
842C22×D4C2412yes—
843C22×D4C2412yes—
844C22×D4C2414yes—
845C23×C4C2411yescharacteristic
846C23×C4C2411yescharacteristic
847C23×C4C2414yes—
848C23×C4C2414yes—
849C23×C4C2414yes—
850C23×C4C2414yes—
851C23×C4C2412yes—
852C23×C4C2414yes—
853C23×C4C2411yescharacteristic
854C23×C4C2414yes—
855C23×C4C2414yes—
856C23×C4C2412yes—
857C4⋊Q8C22×C418yes—
858C4⋊Q8C22×C418yes—
859C4⋊Q8C22×C418yes—
860C4⋊Q8C22×C4116yes—
861C4⋊Q8C22×C4116yes—
862#127C22×C418yes—
863#126C22×C4132yes—
864#126C22×C4132yes—
865#126C22×C4132yes—
866#126C22×C4132yes—
867#125C22×C4116yes—
868#125C22×C4116yes—
869#125C22×C4116yes—
870#125C22×C4132yes—
871#125C22×C4132yes—
872#124C22×C4116yes—
873#124C22×C4116yes—
874#124C22×C4116yes—
875#124C22×C4116yes—
876#124C22×C4116yes—
877#123C22×C4132yes—
878#123C22×C4132yes—
879#123C22×C4132yes—
880#123C22×C4132yes—
881C22⋊Q8C22×C418yes—
882C22⋊Q8C22×C418yes—
883C22⋊Q8C22×C4116yes—
884C22⋊Q8C22×C4132yes—
885C22⋊Q8C22×C4132yes—
886C22⋊Q8C22×C4132yes—
887C22⋊Q8C22×C4132yes—
888#121C22×C4116yes—
889#121C22×C4116yes—
890C4×Q8—24no—
891C4×Q8—24no—
892C4×Q8—44no—
893C4×Q8—44no—
894C4×Q8—42no—
895C4×Q8—42no—
896C4×Q8—42no—
897C4×Q8—42no—
898C4×Q8—44no—
899C4×Q8—44no—
900C4×Q8—44no—
901C4×Q8—44no—
902C4×Q8—42no—
903C4×Q8—42no—
904C4×Q8—44no—
905C4×Q8—44no—
906C4×Q8—84no—
907C4×Q8C22×C4116yes—
908C4×Q8C22×C4116yes—
909C4×Q8C22×C418yes—
910C4×Q8C22×C418yes—
911C4×Q8C22×C418yes—
912C4×Q8C22×C418yes—
913C4×Q8C22×C4116yes—
914C4×Q8C22×C4116yes—
915C4×Q8C22×C4116yes—
916C4×Q8C22×C4116yes—
917C4×Q8C22×C4116yes—
918C4×Q8C22×C418yes—
919C4×Q8C22×C418yes—
920C4×D4—28no—
921C4×D4—44no—
922C4×D4—44no—
923C4×D4—44no—
924C4×D4—44no—
925C4×D4—44no—
926C4×D4—44no—
927C4×D4—44no—
928C4×D4—82no—
929C4×D4—82no—
930C4×D4C22×C4132yes—
931C4×D4C22×C4132yes—
932C4×D4C22×C4116yes—
933C4×D4C22×C4116yes—
934C4×D4C22×C4116yes—
935C4×D4C22×C4116yes—
936C4×D4C22×C4116yes—
937C4×D4C22×C4116yes—
938#117—24no—
939#117—42no—
940#117—44no—
941#117—84no—
942#117—84no—
943#117—84no—
944#117—82no—
945#117C22×C4116yes—
946#117C22×C4132yes—
947#117C22×C4132yes—
948#117C22×C4132yes—
949C2×C4⋊C4—84no—
950C2×C4⋊C4C22×C418yes—
951C2×C4⋊C4C22×C4116yes—
952C2×C4⋊C4C22×C4132yes—
953C2×C4⋊C4C2411yescharacteristic
954C2×C4⋊C4C2411yescharacteristic
955C2×C4⋊C4C2411yescharacteristic
956C2×C4⋊C4C2411yescharacteristic
957C2×C4⋊C4C2411yescharacteristic
958C2×C4⋊C4C2411yescharacteristic
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2411yescharacteristic
964C2×C4⋊C4C2411yescharacteristic
965C2×C4⋊C4C2411yescharacteristic
966C2×C4⋊C4C2411yescharacteristic
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2414yes—
972C2×C4⋊C4C2414yes—
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2411yescharacteristic
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2411yescharacteristic
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2414yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2414yes—
992C2×C4⋊C4C2414yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2414yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2414yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2411yescharacteristic
1006C2×C4⋊C4C2411yescharacteristic
1007C2×C4⋊C4C2414yes—
1008C2×C4⋊C4C2414yes—
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2414yes—
1017C2×C4⋊C4C2414yes—
1018C2×C4⋊C4C2411yescharacteristic
1019C2×C4⋊C4C2411yescharacteristic
1020C2×C4⋊C4C2412yes—
1021C2×C4⋊C4C2412yes—
1022C2×C4⋊C4C2412yes—
1023C2×C4⋊C4C2412yes—
1024C2×C4⋊C4C2414yes—
1025C2×C4⋊C4C2414yes—
1026C2×C4⋊C4C2412yes—
1027C2×C22⋊C4C2411yescharacteristic
1028C2×C22⋊C4C2411yescharacteristic
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2414yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2414yes—
1034C2×C22⋊C4C2414yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2411yescharacteristic
1037C2×C22⋊C4C2411yescharacteristic
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2414yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2414yes—
1052C2×C22⋊C4C2414yes—
1053C2×C22⋊C4C2414yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2414yes—
1058C2×C42—84no—
1059C2×C42C22×C4116yes—
1060C2×C42C22×C418yes—
1061C2×C42C2411yescharacteristic
1062C2×C42C2412yes—
1063C2×C42C2412yes—
1064C2×C42C2411yescharacteristic
1065C2×C42C2411yescharacteristic
1066C2×C42C2411yescharacteristic
1067C2×C42C2411yescharacteristic
1068C2×C42C2412yes—
1069C2×C42C2412yes—
1070C2×C42C2411yescharacteristic
1071C2×C42C2411yescharacteristic
1072C2×C42C2412yes—
1073C2×C42C2412yes—
1074C2×C42C2414yes—
1075C2×C42C2412yes—
1076C2×C42C2412yes—
1077C2×C42C2414yes—
1078C2×C42C2414yes—
1079C2×C42C2414yes—
1080C2×C42C2411yescharacteristic
1081C2×C42C2411yescharacteristic
1082C2×C42C2412yes—
1083C2×C42C2412yes—
1084C2×C42C2412yes—
1085C2×C42C2414yes—
1086C2×C42C2412yes—
1087C2×C42C2412yes—
1088C2×C42C2414yes—
1089C2×C42C2414yes—
1090C2×C42C2412yes—
1091C2×C42C2414yes—
1092C2×C42C2414yes—
1093C2×C42C2414yes—
1094C2×C42C2414yes—
1095C2×C42C2414yes—
1096C2×C42C2414yes—
1097C2×C42C2412yes—
1098C2×C42C2412yes—
1099C2×C42C2412yes—
1100C2×C42C2412yes—
1101C2×C42C2412yes—
1102C2×C42C2412yes—
1103C2×C42C2411yescharacteristic
1104C2×C42C2411yescharacteristic
1105C2×C42C2414yes—
1106C2×C42C2414yes—
1107C2×C42C2412yes—
1108C2×C42C2412yes—
1109C2×C42C2412yes—
1110C2×C42C2412yes—
1111C2×C42C2411yescharacteristic
1112C2×C42C2411yescharacteristic
1113C2×C42C2412yes—
1114C2×C42C2412yes—
1115C2×C42C2411yescharacteristic
1116C2×C42C2411yescharacteristic
1117C2×C42C2411yescharacteristic
1118#95C2411yescharacteristic
1119#95C2412yes—
1120#95C2412yes—
1121#95C2412yes—
1122#95C2412yes—
1123#95C2412yes—
1124#95C2412yes—
1125#95C2414yes—
1126#95C2414yes—
1127#95C2414yes—
1128#95C2414yes—
1129#95C2414yes—
1130#95C2414yes—
1131#95C2414yes—
1132#95C2414yes—
1133#95C2414yes—
1134#95C2412yes—
1135#95C2412yes—
1136#95C2414yes—
1137#95C2412yes—
1138#95C2412yes—
1139#95C2411yescharacteristic
1140#95C2411yescharacteristic
1141#95C2411yescharacteristic
1142#95C2412yes—
1143#95C2412yes—
1144#95C2412yes—
1145#95C2412yes—
1146#95C2412yes—
1147#95C2412yes—
1148#95C2411yescharacteristic
1149#95C2412yes—
1150#95C2411yescharacteristic
1151#95C2412yes—
1152#95C2414yes—
1153#95C2412yes—
1154#95C2412yes—
1155#95C2411yescharacteristic
1156#95C2411yescharacteristic
1157#95C2412yes—
1158#95C2414yes—
1159#95C2414yes—
1160#95C2412yes—
1161#95C2412yes—
1162#95C2412yes—
1163#95C2412yes—
1164#95C2414yes—
1165#95C2414yes—
1166#95C2412yes—
1167#95C2414yes—
1168#95C2412yes—
1169#95C2412yes—
1170#95C2412yes—
1171#95C2412yes—
1172#95C2412yes—
1173#95C2414yes—
1174#95C2412yes—
1175#95C2414yes—
1176#95C2412yes—
1177#95C2414yes—
1178#95C2414yes—
1179#95C2414yes—
1180#95C2412yes—
1181#95C2414yes—
1182#95C2412yes—
1183#95C2412yes—
1184#95C2414yes—
1185#95C2412yes—
1186#95C2414yes—
1187#95C2412yes—
1188#95C2412yes—
1189#95C2412yes—
1190#95C2412yes—
1191#95C2414yes—
1192#95C2414yes—
1193#95C2412yes—
1194#95C2412yes—
1195#95C2412yes—
1196C24C2511yescharacteristic
1197C24C2514yes—
1198#41—432no—
1199C2×Q8—22no—
1200C2×Q8—22no—
1201C2×Q8—22no—
1202C2×Q8—22no—
1203C2×Q8—22no—
1204C2×Q8—22no—
1205C2×Q8—22no—
1206C2×Q8—22no—
1207C2×Q8—24no—
1208C2×Q8—24no—
1209C2×Q8—42no—
1210C2×Q8—42no—
1211C2×Q8—42no—
1212C2×Q8—42no—
1213C2×Q8—416no—
1214C2×Q8C23×C414yes—
1215C2×Q8C23×C414yes—
1216C2×Q8C23×C414yes—
1217C2×Q8C23×C414yes—
1218C2×Q8C23×C418yes—
1219C2×Q8C23×C418yes—
1220C2×Q8C23×C418yes—
1221C2×D4—24no—
1222C2×D4—24no—
1223C2×D4—24no—
1224C2×D4—24no—
1225C2×D4—42no—
1226C2×D4—42no—
1227C2×D4—44no—
1228C2×D4—44no—
1229C2×D4C23×C418yes—
1230C2×D4C23×C418yes—
1231C2×D4C23×C4116yes—
1232C2×D4C23×C418yes—
1233C22×C4—22no—
1234C22×C4—22no—
1235C22×C4—22no—
1236C22×C4—22no—
1237C22×C4—28no—
1238C22×C4—44no—
1239C22×C4—44no—
1240C22×C4—42no—
1241C22×C4—41no—
1242C22×C4—44no—
1243C22×C4—42no—
1244C22×C4—41no—
1245C22×C4—44no—
1246C22×C4—42no—
1247C22×C4—42no—
1248C22×C4—44no—
1249C22×C4—44no—
1250C22×C4—44no—
1251C22×C4—44no—
1252C22×C4—44no—
1253C22×C4—44no—
1254C22×C4—44no—
1255C22×C4—44no—
1256C22×C4—44no—
1257C22×C4—44no—
1258C22×C4—44no—
1259C22×C4—44no—
1260C22×C4—44no—
1261C22×C4C23×C414yes—
1262C22×C4C23×C414yes—
1263C22×C4C23×C418yes—
1264C22×C4C23×C414yes—
1265C22×C4C23×C418yes—
1266C22×C4C23×C4116yes—
1267C22×C4C23×C4116yes—
1268C22×C4C23×C4116yes—
1269C22×C4C2511yescharacteristic
1270C22×C4C2512yes—
1271C22×C4C2512yes—
1272C22×C4C2512yes—
1273C22×C4C2511yescharacteristic
1274C22×C4C2514yes—
1275C22×C4C2511yescharacteristic
1276C22×C4C2512yes—
1277C22×C4C2511yescharacteristic
1278C22×C4C2512yes—
1279C22×C4C2511yescharacteristic
1280C22×C4C2512yes—
1281C22×C4C2512yes—
1282C22×C4C2514yes—
1283C22×C4C2511yescharacteristic
1284C22×C4C2512yes—
1285C22×C4C2511yescharacteristic
1286C22×C4C2512yes—
1287C22×C4C2512yes—
1288C22×C4C2512yes—
1289C22×C4C2511yescharacteristic
1290C22×C4C2512yes—
1291C22×C4C2512yes—
1292C22×C4C2511yescharacteristic
1293C22×C4C2514yes—
1294C22×C4C2511yescharacteristic
1295C22×C4C2512yes—
1296C22×C4C2512yes—
1297C22×C4C2512yes—
1298C22×C4C2511yescharacteristic
1299C22×C4C2511yescharacteristic
1300C22×C4C2511yescharacteristic
1301C22×C4C2511yescharacteristic
1302C4⋊C4—22no—
1303C4⋊C4—22no—
1304C4⋊C4—24no—
1305C4⋊C4—24no—
1306C4⋊C4—24no—
1307C4⋊C4—22no—
1308C4⋊C4—22no—
1309C4⋊C4—22no—
1310C4⋊C4—22no—
1311C4⋊C4—22no—
1312C4⋊C4—22no—
1313C4⋊C4—24no—
1314C4⋊C4—24no—
1315C4⋊C4—24no—
1316C4⋊C4—22no—
1317C4⋊C4—22no—
1318C4⋊C4—42no—
1319C4⋊C4—42no—
1320C4⋊C4—44no—
1321C4⋊C4—44no—
1322C4⋊C4—42no—
1323C4⋊C4—42no—
1324C4⋊C4—42no—
1325C4⋊C4—42no—
1326C4⋊C4—42no—
1327C4⋊C4—42no—
1328C4⋊C4—41no—
1329C4⋊C4—41no—
1330C4⋊C4—42no—
1331C4⋊C4—42no—
1332C4⋊C4—44no—
1333C4⋊C4—42no—
1334C4⋊C4—42no—
1335C4⋊C4—42no—
1336C4⋊C4—44no—
1337C4⋊C4—42no—
1338C4⋊C4—42no—
1339C4⋊C4—44no—
1340C4⋊C4—44no—
1341C4⋊C4—44no—
1342C4⋊C4—44no—
1343C4⋊C4—44no—
1344C4⋊C4—44no—
1345C4⋊C4—42no—
1346C4⋊C4—44no—
1347C4⋊C4—42no—
1348C4⋊C4—42no—
1349C4⋊C4—44no—
1350C4⋊C4—42no—
1351C4⋊C4—42no—
1352C4⋊C4C23×C418yes—
1353C4⋊C4C23×C418yes—
1354C4⋊C4C23×C414yes—
1355C4⋊C4C23×C414yes—
1356C4⋊C4C23×C4116yes—
1357C4⋊C4C23×C4116yes—
1358C4⋊C4C23×C418yes—
1359C4⋊C4C23×C418yes—
1360C4⋊C4C23×C418yes—
1361C4⋊C4C23×C418yes—
1362C4⋊C4C23×C418yes—
1363C4⋊C4C23×C418yes—
1364C4⋊C4C23×C418yes—
1365C4⋊C4C23×C4116yes—
1366C4⋊C4C23×C4116yes—
1367C4⋊C4C23×C414yes—
1368C4⋊C4C23×C414yes—
1369C4⋊C4C23×C418yes—
1370C4⋊C4C23×C418yes—
1371C4⋊C4C23×C418yes—
1372C4⋊C4C23×C418yes—
1373C4⋊C4C23×C4116yes—
1374C4⋊C4C23×C4116yes—
1375C4⋊C4C23×C418yes—
1376C22⋊C4—22no—
1377C22⋊C4—22no—
1378C22⋊C4—28no—
1379C22⋊C4—44no—
1380C22⋊C4—42no—
1381C22⋊C4—42no—
1382C22⋊C4—41no—
1383C22⋊C4—41no—
1384C22⋊C4—42no—
1385C22⋊C4—44no—
1386C22⋊C4—44no—
1387C22⋊C4—42no—
1388C22⋊C4—44no—
1389C22⋊C4—44no—
1390C22⋊C4—44no—
1391C22⋊C4—44no—
1392C22⋊C4—44no—
1393C22⋊C4—44no—
1394C22⋊C4—44no—
1395C22⋊C4—44no—
1396C22⋊C4—44no—
1397C22⋊C4C23×C4116yes—
1398C22⋊C4C23×C418yes—
1399C22⋊C4C23×C418yes—
1400C22⋊C4C23×C4116yes—
1401C22⋊C4C23×C4116yes—
1402C22⋊C4C23×C4116yes—
1403C22⋊C4C23×C4116yes—
1404C22⋊C4C23×C4116yes—
1405C22⋊C4C23×C4116yes—
1406C22⋊C4C23×C4116yes—
1407C42—22no—
1408C42—24no—
1409C42—24no—
1410C42—22no—
1411C42—24no—
1412C42—24no—
1413C42—22no—
1414C42—22no—
1415C42—22no—
1416C42—24no—
1417C42—24no—
1418C42—22no—
1419C42—22no—
1420C42—42no—
1421C42—42no—
1422C42—44no—
1423C42—44no—
1424C42—42no—
1425C42—41no—
1426C42—42no—
1427C42—42no—
1428C42—41no—
1429C42—42no—
1430C42—42no—
1431C42—44no—
1432C42—42no—
1433C42—44no—
1434C42—44no—
1435C42—41no—
1436C42—41no—
1437C42—44no—
1438C42—42no—
1439C42—42no—
1440C42—44no—
1441C42—42no—
1442C42—42no—
1443C42—44no—
1444C42—44no—
1445C42—44no—
1446C42—44no—
1447C42—44no—
1448C42—42no—
1449C42—42no—
1450C42—44no—
1451C42C23×C418yes—
1452C42C23×C418yes—
1453C42C23×C414yes—
1454C42C23×C414yes—
1455C42C23×C418yes—
1456C42C23×C418yes—
1457C42C23×C414yes—
1458C42C23×C414yes—
1459C42C23×C4116yes—
1460C42C23×C4116yes—
1461C42C23×C418yes—
1462C42C23×C418yes—
1463C422−1+414yes—
1464C23—21no—
1465C23—24no—
1466C23—21no—
1467C23—24no—
1468C23—24no—
1469C23—24no—
1470C23—21no—
1471C23—21no—
1472C23—21no—
1473C23—24no—
1474C23—21no—
1475C23—24no—
1476C23C24×C418yes—
1477C23C24×C412yes—
1478C23C2611yescharacteristic
1479Q8—28no—
1480Q8—28no—
1481Q8—216no—
1482Q8—28no—
1483Q8—28no—
1484Q8—48no—
1485Q8—48no—
1486D4—216no—
1487D4—216no—
1488D4—48no—
1489D4—416no—
1490C2×C4—22no—
1491C2×C4—22no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—22no—
1496C2×C4—22no—
1497C2×C4—24no—
1498C2×C4—24no—
1499C2×C4—22no—
1500C2×C4—22no—
1501C2×C4—22no—
1502C2×C4—22no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—22no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—22no—
1510C2×C4—22no—
1511C2×C4—21no—
1512C2×C4—22no—
1513C2×C4—21no—
1514C2×C4—22no—
1515C2×C4—21no—
1516C2×C4—22no—
1517C2×C4—22no—
1518C2×C4—22no—
1519C2×C4—21no—
1520C2×C4—28no—
1521C2×C4—28no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—22no—
1525C2×C4—22no—
1526C2×C4—24no—
1527C2×C4—22no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—22no—
1531C2×C4—22no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—22no—
1535C2×C4—21no—
1536C2×C4—22no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—22no—
1540C2×C4—22no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—22no—
1544C2×C4—21no—
1545C2×C4—22no—
1546C2×C4—22no—
1547C2×C4—24no—
1548C2×C4—24no—
1549C2×C4—24no—
1550C2×C4—22no—
1551C2×C4—22no—
1552C2×C4—22no—
1553C2×C4—22no—
1554C2×C4—24no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—22no—
1558C2×C4—22no—
1559C2×C4—22no—
1560C2×C4—22no—
1561C2×C4—24no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—22no—
1566C2×C4—22no—
1567C2×C4—22no—
1568C2×C4—21no—
1569C2×C4—22no—
1570C2×C4—48no—
1571C2×C4—416no—
1572C2×C4—416no—
1573C2×C4—44no—
1574C2×C4—48no—
1575C2×C4—416no—
1576C2×C4—88no—
1577C2×C4—88no—
1578C2×C4—164no—
1579C2×C4—164no—
1580C2×C4C24×C412yes—
1581C2×C4C24×C414yes—
1582C2×C4C24×C414yes—
1583C2×C4C24×C414yes—
1584C2×C4C24×C414yes—
1585C2×C4C24×C414yes—
1586C2×C4C24×C414yes—
1587C2×C4C24×C412yes—
1588C2×C4C24×C418yes—
1589C2×C4C24×C412yes—
1590C2×C4C24×C412yes—
1591C2×C4C24×C414yes—
1592C2×C4C24×C414yes—
1593C2×C4C24×C412yes—
1594C2×C4C24×C412yes—
1595C2×C4C2×2−1+412yes—
1596C2×C4C2×2−1+412yes—
1597C2×C4C2×2−1+412yes—
1598C2×C4#58512yes—
1599C2×C4#58512yes—
1600C2×C4#58512yes—
1601C22—22no—
1602C22—28no—
1603C22—22no—
1604C22—28no—
1605C22—22no—
1606C22—28no—
1607C22—41no—
1608C22—44no—
1609C22—44no—
1610C22—41no—
1611C22—44no—
1612C22—41no—
1613C22—44no—
1614C22—41no—
1615C22C25×C411yescharacteristic
1616C22C22×2−1+411yescharacteristic
1617C22C2×#58511yescharacteristic
1618C22C2×#58511yescharacteristic
1619C22C2×#58511yescharacteristic
1620C22H(7,𝔽2)11yescharacteristic
1621C222−1+611yescharacteristic
1622C4—22no—
1623C4—28no—
1624C4—24no—
1625C4—24no—
1626C4—22no—
1627C4—24no—
1628C4—24no—
1629C4—24no—
1630C4—24no—
1631C4—24no—
1632C4—24no—
1633C4—22no—
1634C4—22no—
1635C4—22no—
1636C4—22no—
1637C4—41no—
1638C4—42no—
1639C4—41no—
1640C4—42no—
1641C4—44no—
1642C4—41no—
1643C4—42no—
1644C4—41no—
1645C4—42no—
1646C4—42no—
1647C4—41no—
1648C4—42no—
1649C4—42no—
1650C4—42no—
1651C4—44no—
1652C4—41no—
1653C4#342814yes—
1654C4C4×2−1+414yes—
1655C2—42no—
1656C2—48no—
1657C2C2×#342811yescharacteristic
1658C2C2×C4×2−1+411yescharacteristic
1659C2#6265411yescharacteristic
1660C2#6295611yescharacteristic
1661C2#6296211yescharacteristic
1662C2#6296811yescharacteristic
1663C2#6296911yescharacteristic
subgroupG/H
center, Frattini, socle, cosocleC23C26
commutatorC22C25×C4
prime radicalC2×#532C22
LCSG ▷ C22 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
2. #34501C2semidirect
3. #34499C2semidirect
4. #34499C2semidirect
5. #34498C2semidirect
6. #34489C2semidirect
7. #34488C2semidirect
8. #34481C2semidirect
9. #34459C2semidirect
10. #34444C2semidirect
11. #34443C2semidirect
12. #34439C2semidirect
13. #34439C2semidirect
14. #34397C2semidirect
16. #34383C2semidirect
17. #34374C2semidirect
18. #34337C2semidirect
19. #34333C2semidirect
20. #34331C2semidirect
21. #34331C2semidirect
22. #34328C2semidirect
23. #34326C2semidirect
24. #34326C2semidirect
25. #34324C2semidirect
26. #34263C2semidirect
27. #34260C2semidirect
28. #34227C2semidirect
30. #34196C2semidirect
31. C4×#557C2semidirect
32. C4×#559C2semidirect
33. Q8×#117C2semidirect
34. #34085C2semidirect
35. #34084C2semidirect
36. #3507C4semidirect
304. #557C2×C4semidirect
305. #557C2×C4semidirect
306. #556C2×C4semidirect
307. #556C2×C4semidirect
308. #556C2×C4semidirect
309. #554C2×C4semidirect
310. #552C2×C4semidirect
311. #539C2×C4semidirect
312. #536C2×C4semidirect
313. #533C2×C4semidirect
321. #529C2×C4semidirect
322. #529C2×C4semidirect
350. #520C2×C4semidirect
351. C2×C4×Q8C2×C4semidirect

Maximal subgroups

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

subgroupindex
C2×#35072
#345012
#344992
#344982
#344892
#344882
#344812
#344592
#344442
#344432
#344392
#343972
#343932
#343832
#343742
#343372
#343332
#343312
#343282
#343262
#343242
#342632
#342602
#342272
#342262
#341962
C4×#5572
C4×#5592
Q8×#1172
#340852
#340842