Finite Group Databasebeta

← #7626910

Subgroups — #7626910

Order 512.

6524 conjugacy classes of subgroups.

The subgroup lattice has 1684 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3515C211yesmaximal, characteristic
2#34501C214yesmaximal, complemented
3#34484C211yesmaximal, characteristic, complemented
4#34483C212yesmaximal, complemented
5#34482C212yesmaximal, complemented
6#34480C211yesmaximal, characteristic, complemented
7#34480C212yesmaximal, complemented
8#34473C212yesmaximal, complemented
9#34462C214yesmaximal, complemented
10#34449C214yesmaximal, complemented
11#34444C214yesmaximal, complemented
12#34430C212yesmaximal, complemented
13#34421C212yesmaximal, complemented
14#34394C211yesmaximal, characteristic, complemented
15#34392C212yesmaximal, complemented
16#34384C211yesmaximal, characteristic, complemented
17#34378C212yesmaximal, complemented
18#34328C211yesmaximal, characteristic, complemented
19#34319C212yesmaximal, complemented
20#34318C212yesmaximal, complemented
21#34318C212yesmaximal, complemented
22#34317C211yesmaximal, characteristic, complemented
23#34317C211yesmaximal, characteristic, complemented
24#34316C211yesmaximal, characteristic, complemented
25#34304C212yesmaximal, complemented
26#34263C212yesmaximal, complemented
27#34252C212yesmaximal, complemented
28#34217C212yesmaximal, complemented
29#34214C211yesmaximal, characteristic, complemented
30#34188C211yesmaximal, characteristic, complemented
31C4×#557C211yesmaximal, characteristic, complemented
32C4×#554C211yesmaximal, characteristic, complemented
33#34125C211yesmaximal, characteristic, complemented
34#34084C212yesmaximal, complemented
35#34084C211yesmaximal, characteristic, complemented
36#3515C4132yescomplemented
37C2×#557C2211yescharacteristic
38C2×#554C2211yescharacteristic
39C2×#554C2211yescharacteristic
40C2×#553C2212yes—
41C2×#552C2212yes—
42C2×#552C2212yes—
43C2×#552C2214yes—
44C2×#547C2211yescharacteristic
45C2×#547C2212yes—
46C2×#541C2212yes—
47C2×#539C2214yes—
48C2×#533C2211yescharacteristic
49C2×#529C2211yescharacteristic
50C2×#529C2212yes—
51C22×#125C2212yes—
52C2×#520C2212yes—
53C2×C4×#41C2211yescharacteristic
54#2383C2214yes—
55#2383C2214yes—
56#2382C2214yes—
57#2382C2214yes—
58#2382C2214yes—
59#2378C2214yes—
60#2378C2214yes—
61#2377C2214yes—
62#2376C2214yes—
63#2376C2214yes—
64#2376C2214yes—
65#2376C2214yes—
66#2374C2214yes—
67#2374C2214yes—
68#2374C2214yes—
69#2373C2214yes—
70#2373C2214yes—
71#2373C2214yes—
72#2371C2214yes—
73#2370C2212yes—
74#2370C2214yes—
75#2370C2212yes—
76#2370C2214yes—
77#2370C2212yes—
78#2370C2214yes—
79#2370C2212yes—
80#2370C2212yes—
81#2370C2212yes—
82#2370C2214yes—
83#2370C2214yes—
84#2370C2214yes—
85#2369C2211yescharacteristic
86#2369C2211yescharacteristic
87#2368C2214yes—
88#2365C2211yescharacteristic
89#2365C2212yes—
90#2365C2211yescharacteristic
91#2365C2212yes—
92#2363C2212yes—
93#2363C2212yes—
94#2363C2214yes—
95#2362C2212yes—
96#2362C2212yes—
97#2362C2212yes—
98#2362C2214yes—
99#2362C2214yes—
100#2362C2212yes—
101#2361C2212yes—
102#2360C2212yes—
103#2360C2212yes—
104#2360C2212yes—
105#2360C2212yes—
106#2360C2212yes—
107#2360C2212yes—
108#2360C2212yes—
109#2359C2214yes—
110#2357C2212yes—
111#2357C2212yes—
112#2357C2214yes—
113#2357C2212yes—
114#2357C2212yes—
115#2357C2211yescharacteristic
116#2357C2211yescharacteristic
117#2356C2212yes—
118#2356C2212yes—
119#2356C2212yes—
120#2355C2212yes—
121#2355C2211yescharacteristic
122#2355C2211yescharacteristic
123#2355C2211yescharacteristic
124#2355C2212yes—
125#2355C2212yes—
126#2355C2212yes—
127#2354C2211yescharacteristic
128#2354C2211yescharacteristic
129#2354C2211yescharacteristic
130#2354C2212yes—
131#2354C2214yes—
132#2354C2212yes—
133#2352C2212yes—
134#2352C2212yes—
135#2352C2212yes—
136#2352C2214yes—
137#2351C2211yescharacteristic
138#2351C2211yescharacteristic
139#2351C2212yes—
140#2351C2212yes—
141Q8×C4⋊C4C2211yescharacteristic
142Q8×C4⋊C4C2212yes—
143Q8×C4⋊C4C2212yes—
144#2349C2212yes—
145D4×C4⋊C4C2212yes—
146D4×C4⋊C4C2211yescharacteristic
147#2347C2211yescharacteristic
148#2347C2211yescharacteristic
149#2347C2214yes—
150#2347C2212yes—
151#2347C2214yes—
152#2347C2212yes—
153#2347C2212yes—
154#2346C2212yes—
155#2346C2214yes—
156#2345C2212yes—
157#2345C2212yes—
158#2345C2212yes—
159#2345C2214yes—
160#2345C2214yes—
161#2345C2214yes—
162#2345C2214yes—
163#2344C2212yes—
164#2344C2212yes—
165#2344C2212yes—
166#2344C2214yes—
167#2344C2214yes—
168#2343C2214yes—
169#2341C2212yes—
170#2341C2211yescharacteristic
171#2341C2211yescharacteristic
172#2341C2212yes—
173#2336C2214yes—
174#2336C2214yes—
175#2336C2214yes—
176#2336C2214yes—
177#2335C2214yes—
178#2335C2214yes—
179#2335C2214yes—
180#2335C2212yes—
181#2335C2212yes—
182#2335C2214yes—
183#2335C2214yes—
184#2335C2214yes—
185#2335C2214yes—
186#2334C2214yes—
187#2334C2214yes—
188#2334C2214yes—
189#2334C2214yes—
190#2334C2212yes—
191#2334C2212yes—
192#2334C2214yes—
193#2334C2214yes—
194#2334C2214yes—
195#2333C2214yes—
196#2332C2214yes—
197#2332C2214yes—
198#2330C2212yes—
199#2330C2211yescharacteristic
200#2330C2212yes—
201#2330C2212yes—
202#2330C2211yescharacteristic
203#2330C2212yes—
204#2330C2212yes—
205#2330C2212yes—
206#2330C2214yes—
207#2327C2212yes—
208#2326C2211yescharacteristic
209#2326C2212yes—
210#2326C2211yescharacteristic
211#2324C2212yes—
212#2324C2211yescharacteristic
213#2324C2212yes—
214#2324C2211yescharacteristic
215#2324C2214yes—
216#2323C2212yes—
217#2323C2212yes—
218#2323C2212yes—
219#2323C2211yescharacteristic
220#2323C2212yes—
221#2323C2212yes—
222#2323C2211yescharacteristic
223#2323C2212yes—
224#2323C2214yes—
225#2322C2214yes—
226#2320C2214yes—
227#2319C2214yes—
228#2319C2212yes—
229#2318C2214yes—
230#2318C2214yes—
231#2317C2212yes—
232#2317C2212yes—
233#2316C2214yes—
234#2316C2212yes—
235#2316C2212yes—
236#2314C2212yes—
237#2314C2214yes—
238#2314C2214yes—
239#2313C2214yes—
240#2311C2212yes—
241#2311C2212yes—
242C4×C4⋊Q8C2211yescharacteristic
243C4×C4⋊Q8C2211yescharacteristic
244C4×C4⋊Q8C2211yescharacteristic
245C4×C4⋊Q8C2211yescharacteristic
246C4×C4⋊Q8C2212yes—
247C4×#125C2212yes—
248C4×#125C2212yes—
249C4×#125C2212yes—
250C4×#125C2212yes—
251C4×#125C2212yes—
252C4×#125C2214yes—
253C4×#126C2214yes—
254C4×C22⋊Q8C2212yes—
255C4×C22⋊Q8C2212yes—
256C4×C22⋊Q8C2214yes—
257C4×#123C2214yes—
258#2298C2214yes—
259#2298C2214yes—
260#2298C2212yes—
261#2297C2212yes—
262#2296C2214yes—
263#2296C2212yes—
264#2295C2212yes—
265#2295C2211yescharacteristic
266#2293C2211yescharacteristic
267#2293C2211yescharacteristic
268#2293C2212yes—
269#2293C2212yes—
270#2293C2212yes—
271#2293C2212yes—
272#2293C2214yes—
273#2293C2211yescharacteristic
274#2293C2212yes—
275#2290C2212yes—
276#2290C2214yes—
277#2290C2214yes—
278#2285C2212yes—
279#2285C2211yescharacteristic
280#2285C2212yes—
281C2×#384C2211yescharacteristic
282#2283C2212yes—
283#2283C2211yescharacteristic
284#2276C2212yes—
285#2274C2212yes—
286#2274C2212yes—
287#2274C2212yes—
288#2274C2212yes—
289#2274C2212yes—
290C42×Q8C2211yescharacteristic
291C42×Q8C2211yescharacteristic
292C42×Q8C2212yes—
293C42×Q8C2212yes—
294C42×Q8C2211yescharacteristic
295C42×D4C2211yescharacteristic
296C42×D4C2212yes—
297C4×#117C2211yescharacteristic
298C4×#117C2212yes—
299C2×C4×C4⋊C4C2212yes—
300C22×#41C2311yescharacteristic
301C22×#41C2312yes—
302#557C2×C4116yescomplemented
303#554C2×C4116yescomplemented
304#554C2×C4116yescomplemented
305#553C2×C4132yes—
306#552C2×C4132yescomplemented
307#552C2×C4164yescomplemented
308#552C2×C4132yescomplemented
309#547C2×C4116yescomplemented
310#547C2×C4132yescomplemented
311#541C2×C4132yescomplemented
312#539C2×C4164yescomplemented
313#533C2×C4116yescomplemented
314C2×C4⋊Q8C2311yescharacteristic
315C2×C4⋊Q8C2311yescharacteristic
316C2×C4⋊Q8C2312yes—
317#529C2×C4116yes—
318#529C2×C4132yescomplemented
319C2×#126C2314yes—
320C2×#126C2314yes—
321C2×#126C2314yes—
322C2×#126C2312yes—
323C2×#125C2×C4132yescomplemented
324C2×#125C2312yes—
325C2×#125C2312yes—
326C2×#125C2312yes—
327C2×#125C2314yes—
328C2×#125C2311yescharacteristic
329C2×#125C2312yes—
330C2×#125C2314yes—
331C2×#125C2314yes—
332C2×#125C2314yes—
333C2×#124C2311yescharacteristic
334C2×#123C2312yes—
335C2×#123C2314yes—
336C2×#123C2314yes—
337C2×#123C2314yes—
338C2×#123C2314yes—
339C2×C22⋊Q8C2311yescharacteristic
340C2×C22⋊Q8C2312yes—
341C2×C22⋊Q8C2312yes—
342C2×C22⋊Q8C2314yes—
343C2×C22⋊Q8C2312yes—
344C2×C22⋊Q8C2312yes—
345C2×C22⋊Q8C2314yes—
346C2×C22⋊Q8C2312yes—
347C2×#121C2311yescharacteristic
348C2×#121C2312yes—
349C2×#121C2314yes—
350#520C2×C4132yescomplemented
351C4×#41C2×C4116yescomplemented
352C2×C4×Q8C2311yescharacteristic
353C2×C4×Q8C2312yes—
354C2×C4×Q8C2311yescharacteristic
355C2×C4×Q8C2312yes—
356C2×C4×Q8C2311yescharacteristic
357C2×C4×Q8C2312yes—
358C2×C4×Q8C2312yes—
359C2×C4×Q8C2311yescharacteristic
360C2×C4×Q8C2312yes—
361C2×C4×Q8C2311yescharacteristic
362C2×C4×Q8C2311yescharacteristic
363C2×C4×Q8C2312yes—
364C2×C4×Q8C2312yes—
365C2×C4×Q8C2312yes—
366C2×C4×Q8C2312yes—
367C2×C4×Q8C2311yescharacteristic
368C2×C4×Q8C2311yescharacteristic
369C2×C4×Q8C2312yes—
370C2×C4×Q8C2311yescharacteristic
371C2×C4×Q8C2312yes—
372C2×C4×D4C2311yescharacteristic
373C2×C4×D4C2312yes—
374C2×C4×D4C2311yescharacteristic
375C2×C4×D4C2314yes—
376C2×C4×D4C2314yes—
377C2×C4×D4C2314yes—
378C2×C4×D4C2312yes—
379C2×C4×D4C2312yes—
380C2×C4×D4C2311yescharacteristic
381C2×C4×D4C2312yes—
382C2×C4×D4C2312yes—
383C2×C4×D4C2312yes—
384C2×C4×D4C2311yescharacteristic
385C2×C4×D4C2311yescharacteristic
386C2×#117C2312yes—
387C2×#117C2311yescharacteristic
388C2×#117C2312yes—
389C2×#117C2312yes—
390C2×#117C2312yes—
391C2×#117C2312yes—
392C2×#117C2312yes—
393C2×#117C2311yescharacteristic
394C2×#117C2312yes—
395C2×#117C2314yes—
396C2×#117C2314yes—
397C2×#117C2314yes—
398C2×#117C2314yes—
399C2×#117C2312yes—
400C2×#117C2312yes—
401C2×#117C2314yes—
402C2×#117C2312yes—
403C2×#117C2314yes—
404C2×#117C2311yescharacteristic
405C22×C4⋊C4C2312yes—
406C22×C4⋊C4C2312yes—
407C22×C4⋊C4C2312yes—
408C22×C4⋊C4C2312yes—
409C22×C4⋊C4C2314yes—
410C22×C4⋊C4C2312yes—
411C22×C4⋊C4C2312yes—
412C22×C4⋊C4C2314yes—
413C22×C4⋊C4C2312yes—
414C22×C42C2312yes—
415C22×C42C2314yes—
416C22×C42C2312yes—
417C22×C42C2311yescharacteristic
418#391C2312yes—
419#391C2312yes—
420#391C2312yes—
421#391C2312yes—
422#391C2312yes—
423#391C2312yes—
424#391C2312yes—
425#391C2314yes—
426#391C2314yes—
427#391C2311yescharacteristic
428#391C2312yes—
429#391C2311yescharacteristic
430#391C2312yes—
431#390C2312yes—
432#390C2311yescharacteristic
433#390C2312yes—
434#390C2311yescharacteristic
435#390C2314yes—
436#390C2314yes—
437#390C2311yescharacteristic
438#390C2312yes—
439#390C2312yes—
440#390C2312yes—
441#390C2311yescharacteristic
442#390C2314yes—
443#390C2314yes—
444#390C2312yes—
445#390C2312yes—
446#390C2312yes—
447#390C2312yes—
448#390C2311yescharacteristic
449#390C2311yescharacteristic
450#389C2311yescharacteristic
451#389C2311yescharacteristic
452#389C2311yescharacteristic
453#389C2312yes—
454#389C2312yes—
455#389C2312yes—
456#389C2312yes—
457#389C2312yes—
458#389C2312yes—
459#389C2312yes—
460#389C2314yes—
461#389C2314yes—
462#389C2314yes—
463#389C2312yes—
464#389C2312yes—
465#389C2312yes—
466#389C2314yes—
467#389C2312yes—
468#389C2312yes—
469#389C2312yes—
470#389C2314yes—
471#389C2314yes—
472#389C2314yes—
473#389C2314yes—
474#389C2314yes—
475#389C2314yes—
476#389C2314yes—
477#389C2314yes—
478#389C2314yes—
479#389C2314yes—
480#389C2314yes—
481#389C2314yes—
482#389C2312yes—
483#389C2314yes—
484#389C2314yes—
485#389C2314yes—
486#389C2314yes—
487#389C2312yes—
488#389C2311yescharacteristic
489#389C2312yes—
490#389C2311yescharacteristic
491#389C2312yes—
492#389C2312yes—
493#389C2314yes—
494#389C2311yescharacteristic
495#389C2312yes—
496#389C2311yescharacteristic
497#389C2312yes—
498#389C2314yes—
499#389C2312yes—
500#389C2314yes—
501#389C2312yes—
502#389C2312yes—
503#389C2314yes—
504#389C2312yes—
505#389C2312yes—
506#389C2312yes—
507#389C2311yescharacteristic
508#388C2312yes—
509#388C2312yes—
510#388C2314yes—
511#388C2314yes—
512#388C2312yes—
513#388C2314yes—
514#388C2314yes—
515#388C2314yes—
516#388C2314yes—
517#388C2314yes—
518#388C2314yes—
519#388C2314yes—
520#388C2312yes—
521#388C2314yes—
522#388C2314yes—
523#388C2312yes—
524#388C2314yes—
525#388C2314yes—
526#388C2312yes—
527#388C2314yes—
528#388C2314yes—
529#388C2314yes—
530#388C2314yes—
531#388C2314yes—
532#388C2312yes—
533#388C2314yes—
534#388C2314yes—
535#388C2314yes—
536#388C2314yes—
537#388C2314yes—
538#388C2312yes—
539#388C2312yes—
540#388C2312yes—
541#388C2312yes—
542#388C2314yes—
543#388C2312yes—
544#388C2312yes—
545#388C2312yes—
546#388C2314yes—
547#388C2312yes—
548#388C2312yes—
549#388C2314yes—
550#388C2312yes—
551#388C2314yes—
552#388C2312yes—
553#388C2314yes—
554#388C2312yes—
555#388C2312yes—
556#388C2312yes—
557#388C2312yes—
558#388C2312yes—
559#388C2312yes—
560#387C2314yes—
561#387C2314yes—
562#387C2314yes—
563#387C2314yes—
564#387C2314yes—
565#387C2314yes—
566#387C2314yes—
567#387C2314yes—
568#387C2314yes—
569#387C2314yes—
570#387C2314yes—
571#387C2314yes—
572#387C2314yes—
573#387C2314yes—
574#387C2314yes—
575#387C2312yes—
576#387C2314yes—
577#387C2314yes—
578#387C2314yes—
579#387C2314yes—
580#387C2314yes—
581#387C2314yes—
582#387C2312yes—
583#387C2314yes—
584#387C2314yes—
585#387C2314yes—
586#387C2314yes—
587#387C2314yes—
588#387C2314yes—
589#387C2314yes—
590#387C2314yes—
591#387C2314yes—
592#387C2314yes—
593#387C2314yes—
594#387C2312yes—
595#387C2312yes—
596#387C2314yes—
597#387C2314yes—
598#387C2314yes—
599#387C2314yes—
600#387C2314yes—
601#387C2314yes—
602#387C2312yes—
603#387C2314yes—
604#387C2314yes—
605#387C2312yes—
606#387C2312yes—
607#387C2314yes—
608#387C2314yes—
609#387C2314yes—
610#387C2314yes—
611#387C2314yes—
612#387C2314yes—
613#387C2314yes—
614#387C2312yes—
615#387C2314yes—
616#387C2314yes—
617#387C2314yes—
618#386C2314yes—
619#386C2314yes—
620#386C2314yes—
621#386C2314yes—
622#386C2314yes—
623#386C2314yes—
624#386C2312yes—
625#386C2314yes—
626#386C2312yes—
627#385C2314yes—
628#385C2314yes—
629#385C2314yes—
630#385C2314yes—
631#385C2312yes—
632#385C2312yes—
633#385C2314yes—
634#385C2314yes—
635#385C2312yes—
636#385C2314yes—
637#385C2314yes—
638#385C2314yes—
639#385C2312yes—
640#385C2312yes—
641#385C2312yes—
642#385C2314yes—
643#385C2314yes—
644#384C2311yescharacteristic
645#384C2311yescharacteristic
646#384C2312yes—
647#384C2312yes—
648#384C2314yes—
649#384C2312yes—
650#384C2312yes—
651#384C2311yescharacteristic
652#384C2311yescharacteristic
653#383C2314yes—
654#383C2314yes—
655#383C2312yes—
656#383C2312yes—
657#383C2312yes—
658#382C2312yes—
659#382C2312yes—
660#382C2312yes—
661#382C2314yes—
662#382C2312yes—
663#382C2311yescharacteristic
664#382C2314yes—
665#382C2311yescharacteristic
666#382C2314yes—
667#382C2312yes—
668#382C2312yes—
669#382C2314yes—
670#381C2314yes—
671#381C2314yes—
672#381C2312yes—
673#381C2312yes—
674#381C2314yes—
675#381C2312yes—
676#380C2314yes—
677#380C2314yes—
678#380C2314yes—
679#380C2314yes—
680#380C2312yes—
681#380C2314yes—
682#380C2314yes—
683#380C2312yes—
684#380C2312yes—
685#380C2312yes—
686#380C2314yes—
687#380C2314yes—
688#380C2314yes—
689#380C2314yes—
690#380C2311yescharacteristic
691#380C2311yescharacteristic
692#380C2312yes—
693#380C2312yes—
694#380C2311yescharacteristic
695#380C2311yescharacteristic
696#380C2312yes—
697C4×C4⋊C4C2314yes—
698C4×C4⋊C4C2314yes—
699C4×C4⋊C4C2314yes—
700C4×C4⋊C4C2314yes—
701C4×C4⋊C4C2312yes—
702C4×C4⋊C4C2311yescharacteristic
703C4×C4⋊C4C2311yescharacteristic
704C4×C4⋊C4C2312yes—
705C4×C4⋊C4C2314yes—
706C4×C4⋊C4C2312yes—
707C4×C4⋊C4C2312yes—
708C4×C4⋊C4C2312yes—
709C4×C4⋊C4C2314yes—
710C4×C4⋊C4C2312yes—
711C4×C4⋊C4C2312yes—
712C4×C4⋊C4C2314yes—
713C4×C4⋊C4C2314yes—
714C4×C4⋊C4C2314yes—
715C4×C4⋊C4C2312yes—
716C4×C4⋊C4C2312yes—
717C4×C4⋊C4C2312yes—
718C4×C4⋊C4C2312yes—
719C4×C4⋊C4C2314yes—
720C4×C4⋊C4C2314yes—
721C4×C4⋊C4C2314yes—
722C4×C4⋊C4C2314yes—
723C4×C4⋊C4C2314yes—
724C4×C4⋊C4C2312yes—
725C4×C4⋊C4C2312yes—
726C4×C4⋊C4C2312yes—
727C4×C4⋊C4C2312yes—
728C4×C4⋊C4C2312yes—
729C4×C4⋊C4C2314yes—
730C4×C4⋊C4C2312yes—
731C4×C4⋊C4C2314yes—
732C4×C4⋊C4C2314yes—
733C4×C4⋊C4C2314yes—
734C4×C4⋊C4C2312yes—
735C4×C4⋊C4C2314yes—
736C4×C4⋊C4C2312yes—
737C4×C4⋊C4C2311yescharacteristic
738C4×C4⋊C4C2312yes—
739C4×C4⋊C4C2311yescharacteristic
740C4×C4⋊C4C2312yes—
741C4×C4⋊C4C2312yes—
742C4×C4⋊C4C2312yes—
743C4×C4⋊C4C2311yescharacteristic
744C4×C4⋊C4C2311yescharacteristic
745C4×C4⋊C4C2312yes—
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2314yes—
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2314yes—
750C4×C4⋊C4C2314yes—
751C4×C4⋊C4C2314yes—
752C4×C4⋊C4C2314yes—
753C4×C4⋊C4C2314yes—
754C4×C4⋊C4C2314yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2314yes—
757C4×C4⋊C4C2314yes—
758C4×C4⋊C4C2311yescharacteristic
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2311yescharacteristic
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2314yes—
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2312yes—
781C4×C22⋊C4C2314yes—
782C4×C22⋊C4C2314yes—
783C4×C22⋊C4C2314yes—
784C4×C22⋊C4C2314yes—
785C4×C22⋊C4C2314yes—
786C4×C22⋊C4C2314yes—
787C4×C22⋊C4C2314yes—
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2311yescharacteristic
801C4×C22⋊C4C2311yescharacteristic
802C4×C22⋊C4C2314yes—
803C4×C22⋊C4C2314yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2311yescharacteristic
807C4×C22⋊C4C2311yescharacteristic
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2312yes—
811C4×C22⋊C4C2312yes—
812C4×C22⋊C4C2314yes—
813C4×C22⋊C4C2312yes—
814#376C2312yes—
815#376C2314yes—
816#376C2314yes—
817#376C2311yescharacteristic
818#376C2311yescharacteristic
819#376C2312yes—
820#376C2314yes—
821C2×#95C2314yes—
822C43C2314yes—
823C43C2312yes—
824C43C2312yes—
825C43C2312yes—
826C43C2311yescharacteristic
827C43C2311yescharacteristic
828C2×#41—44no—
829C2×#41—42no—
830C2×#41—44no—
831C2×#41—42no—
832C2×#41C22×C418yes—
833C2×#41C22×C4116yes—
834C22×Q8C2411yescharacteristic
835C22×Q8C2412yes—
836C22×Q8C2411yescharacteristic
837C22×Q8C2412yes—
838C22×D4C2411yescharacteristic
839C22×D4C2411yescharacteristic
840C22×D4C2412yes—
841C22×D4C2414yes—
842C22×D4C2412yes—
843C23×C4C2411yescharacteristic
844C23×C4C2412yes—
845C23×C4C2412yes—
846C23×C4C2411yescharacteristic
847C23×C4C2412yes—
848C23×C4C2414yes—
849C23×C4C2414yes—
850C23×C4C2412yes—
851C23×C4C2414yes—
852C23×C4C2414yes—
853C23×C4C2412yes—
854C23×C4C2412yes—
855C23×C4C2411yescharacteristic
856C23×C4C2414yes—
857C4⋊Q8C22×C418yes—
858C4⋊Q8C22×C418yes—
859C4⋊Q8C22×C4116yes—
860#126C22×C4116yes—
861#126C22×C4132yes—
862#126C22×C4132yes—
863#126C22×C4132yes—
864#125C22×C418yes—
865#125C22×C4116yes—
866#125C22×C4132yes—
867#125C22×C4132yes—
868#125C22×C4116yes—
869#125C22×C4116yes—
870#125C22×C4132yes—
871#125C22×C4132yes—
872#125C22×C4116yes—
873#124C22×C418yes—
874#123C22×C4116yes—
875#123C22×C4132yes—
876#123C22×C4132yes—
877#123C22×C4132yes—
878#123C22×C4132yes—
879C22⋊Q8C22×C418yes—
880C22⋊Q8C22×C4116yes—
881C22⋊Q8C22×C4116yes—
882C22⋊Q8C22×C4116yes—
883C22⋊Q8C22×C4132yes—
884C22⋊Q8C22×C4132yes—
885C22⋊Q8C22×C4116yes—
886C22⋊Q8C22×C4116yes—
887#121C22×C418yes—
888#121C22×C4116yes—
889#121C22×C4132yes—
890C4×Q8—24no—
891C4×Q8—42no—
892C4×Q8—44no—
893C4×Q8—42no—
894C4×Q8—44no—
895C4×Q8—44no—
896C4×Q8—42no—
897C4×Q8—42no—
898C4×Q8—44no—
899C4×Q8—44no—
900C4×Q8—42no—
901C4×Q8—82no—
902C4×Q8—82no—
903C4×Q8C22×C418yes—
904C4×Q8C22×C418yes—
905C4×Q8C22×C4116yes—
906C4×Q8C22×C4116yes—
907C4×Q8C22×C418yes—
908C4×Q8C22×C4116yes—
909C4×Q8C22×C4116yes—
910C4×D4—24no—
911C4×D4—44no—
912C4×D4—42no—
913C4×D4—84no—
914C4×D4C22×C418yes—
915C4×D4C22×C4116yes—
916C4×D4C22×C418yes—
917C4×D4C22×C4116yes—
918C4×D4C22×C4132yes—
919C4×D4C22×C4116yes—
920C4×D4C22×C4132yes—
921C4×D4C22×C4116yes—
922C4×D4C22×C418yes—
923C4×D4C22×C4116yes—
924#117—28no—
925#117—24no—
926#117—44no—
927#117—42no—
928#117—44no—
929#117—44no—
930#117—44no—
931#117—44no—
932#117—44no—
933#117—84no—
934#117—84no—
935#117—84no—
936#117—84no—
937#117C22×C418yes—
938#117C22×C4116yes—
939#117C22×C4116yes—
940#117C22×C4132yes—
941#117C22×C4132yes—
942#117C22×C4116yes—
943C2×C4⋊C4—44no—
944C2×C4⋊C4—44no—
945C2×C4⋊C4—44no—
946C2×C4⋊C4—82no—
947C2×C4⋊C4C22×C4132yes—
948C2×C4⋊C4C22×C4116yes—
949C2×C4⋊C4C22×C4116yes—
950C2×C4⋊C4C22×C4132yes—
951C2×C4⋊C4C22×C4116yes—
952C2×C4⋊C4C2411yescharacteristic
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2411yescharacteristic
958C2×C4⋊C4C2411yescharacteristic
959C2×C4⋊C4C2411yescharacteristic
960C2×C4⋊C4C2411yescharacteristic
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2411yescharacteristic
964C2×C4⋊C4C2411yescharacteristic
965C2×C4⋊C4C2411yescharacteristic
966C2×C4⋊C4C2411yescharacteristic
967C2×C4⋊C4C2411yescharacteristic
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2414yes—
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2414yes—
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2411yescharacteristic
986C2×C4⋊C4C2411yescharacteristic
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2414yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2414yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2414yes—
996C2×C4⋊C4C2414yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2414yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2414yes—
1002C2×C4⋊C4C2411yescharacteristic
1003C2×C4⋊C4C2414yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2411yescharacteristic
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2411yescharacteristic
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2414yes—
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2414yes—
1013C2×C4⋊C4C2414yes—
1014C2×C4⋊C4C2414yes—
1015C2×C4⋊C4C2414yes—
1016C2×C4⋊C4C2414yes—
1017C2×C4⋊C4C2414yes—
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2412yes—
1020C2×C4⋊C4C2411yescharacteristic
1021C2×C4⋊C4C2412yes—
1022C2×C4⋊C4C2414yes—
1023C2×C4⋊C4C2412yes—
1024C2×C4⋊C4C2412yes—
1025C2×C4⋊C4C2414yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2411yescharacteristic
1028C2×C22⋊C4C2411yescharacteristic
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2414yes—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2414yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2414yes—
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2411yescharacteristic
1044C2×C22⋊C4C2411yescharacteristic
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2414yes—
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2412yes—
1061C2×C22⋊C4C2412yes—
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2414yes—
1064C2×C22⋊C4C2414yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2412yes—
1067C2×C42—44no—
1068C2×C42—84no—
1069C2×C42C22×C4116yes—
1070C2×C42C22×C418yes—
1071C2×C42C2411yescharacteristic
1072C2×C42C2412yes—
1073C2×C42C2411yescharacteristic
1074C2×C42C2411yescharacteristic
1075C2×C42C2412yes—
1076C2×C42C2412yes—
1077C2×C42C2412yes—
1078C2×C42C2411yescharacteristic
1079C2×C42C2411yescharacteristic
1080C2×C42C2411yescharacteristic
1081C2×C42C2412yes—
1082C2×C42C2411yescharacteristic
1083C2×C42C2414yes—
1084C2×C42C2412yes—
1085C2×C42C2412yes—
1086C2×C42C2414yes—
1087C2×C42C2414yes—
1088C2×C42C2414yes—
1089C2×C42C2414yes—
1090C2×C42C2414yes—
1091C2×C42C2414yes—
1092C2×C42C2414yes—
1093C2×C42C2411yescharacteristic
1094C2×C42C2411yescharacteristic
1095C2×C42C2412yes—
1096C2×C42C2412yes—
1097C2×C42C2414yes—
1098C2×C42C2412yes—
1099C2×C42C2414yes—
1100C2×C42C2412yes—
1101C2×C42C2414yes—
1102C2×C42C2412yes—
1103C2×C42C2414yes—
1104C2×C42C2414yes—
1105C2×C42C2414yes—
1106C2×C42C2412yes—
1107C2×C42C2412yes—
1108C2×C42C2411yescharacteristic
1109C2×C42C2412yes—
1110C2×C42C2412yes—
1111C2×C42C2411yescharacteristic
1112C2×C42C2414yes—
1113C2×C42C2412yes—
1114C2×C42C2412yes—
1115C2×C42C2412yes—
1116C2×C42C2411yescharacteristic
1117C2×C42C2414yes—
1118C2×C42C2414yes—
1119C2×C42C2411yescharacteristic
1120C2×C42C2412yes—
1121C2×C42C2412yes—
1122C2×C42C2411yescharacteristic
1123C2×C42C2412yes—
1124C2×C42C2411yescharacteristic
1125C2×C42C2411yescharacteristic
1126#95C2412yes—
1127#95C2414yes—
1128#95C2414yes—
1129#95C2414yes—
1130#95C2412yes—
1131#95C2412yes—
1132#95C2414yes—
1133#95C2412yes—
1134#95C2412yes—
1135#95C2412yes—
1136#95C2411yescharacteristic
1137#95C2411yescharacteristic
1138#95C2411yescharacteristic
1139#95C2411yescharacteristic
1140#95C2411yescharacteristic
1141#95C2412yes—
1142#95C2412yes—
1143#95C2411yescharacteristic
1144#95C2414yes—
1145#95C2412yes—
1146#95C2411yescharacteristic
1147#95C2411yescharacteristic
1148#95C2412yes—
1149#95C2414yes—
1150#95C2412yes—
1151#95C2414yes—
1152#95C2412yes—
1153#95C2414yes—
1154#95C2412yes—
1155#95C2412yes—
1156#95C2414yes—
1157#95C2412yes—
1158#95C2412yes—
1159#95C2412yes—
1160#95C2414yes—
1161#95C2412yes—
1162#95C2412yes—
1163#95C2414yes—
1164#95C2414yes—
1165#95C2412yes—
1166#95C2414yes—
1167#95C2412yes—
1168#95C2414yes—
1169#95C2414yes—
1170#95C2414yes—
1171#95C2412yes—
1172#95C2414yes—
1173#95C2414yes—
1174#95C2414yes—
1175#95C2414yes—
1176#95C2414yes—
1177#95C2414yes—
1178#95C2414yes—
1179#95C2414yes—
1180#95C2412yes—
1181#95C2412yes—
1182#95C2412yes—
1183#95C2414yes—
1184#95C2412yes—
1185#95C2414yes—
1186#95C2412yes—
1187#95C2414yes—
1188#95C2414yes—
1189#95C2414yes—
1190#95C2412yes—
1191#95C2414yes—
1192#95C2412yes—
1193#95C2412yes—
1194#95C2412yes—
1195#95C2412yes—
1196C24C2512yes—
1197C24C2511yescharacteristic
1198C24C2512yes—
1199#41—416no—
1200#41—432no—
1201C2×Q8—22no—
1202C2×Q8—22no—
1203C2×Q8—22no—
1204C2×Q8—24no—
1205C2×Q8—22no—
1206C2×Q8—24no—
1207C2×Q8—42no—
1208C2×Q8—42no—
1209C2×Q8C23×C414yes—
1210C2×Q8C23×C414yes—
1211C2×Q8C23×C418yes—
1212C2×Q8C23×C418yes—
1213C2×D4—22no—
1214C2×D4—22no—
1215C2×D4—22no—
1216C2×D4—22no—
1217C2×D4—42no—
1218C2×D4—42no—
1219C2×D4—42no—
1220C2×D4—44no—
1221C2×D4—44no—
1222C2×D4—42no—
1223C2×D4C23×C414yes—
1224C2×D4C23×C414yes—
1225C2×D4C23×C418yes—
1226C2×D4C23×C4116yes—
1227C2×D4C23×C418yes—
1228C22×C4—22no—
1229C22×C4—24no—
1230C22×C4—24no—
1231C22×C4—22no—
1232C22×C4—22no—
1233C22×C4—24no—
1234C22×C4—24no—
1235C22×C4—22no—
1236C22×C4—24no—
1237C22×C4—42no—
1238C22×C4—42no—
1239C22×C4—44no—
1240C22×C4—41no—
1241C22×C4—42no—
1242C22×C4—44no—
1243C22×C4—44no—
1244C22×C4—42no—
1245C22×C4—41no—
1246C22×C4—44no—
1247C22×C4—44no—
1248C22×C4—44no—
1249C22×C4—42no—
1250C22×C4—42no—
1251C22×C4—42no—
1252C22×C4—44no—
1253C22×C4—44no—
1254C22×C4—42no—
1255C22×C4—44no—
1256C22×C4—42no—
1257C22×C4—44no—
1258C22×C4—44no—
1259C22×C4—44no—
1260C22×C4C23×C418yes—
1261C22×C4C23×C414yes—
1262C22×C4C23×C414yes—
1263C22×C4C23×C418yes—
1264C22×C4C23×C418yes—
1265C22×C4C23×C418yes—
1266C22×C4C23×C414yes—
1267C22×C4C23×C4116yes—
1268C22×C4C23×C4116yes—
1269C22×C4C23×C4116yes—
1270C22×C4C2511yescharacteristic
1271C22×C4C2512yes—
1272C22×C4C2511yescharacteristic
1273C22×C4C2512yes—
1274C22×C4C2512yes—
1275C22×C4C2511yescharacteristic
1276C22×C4C2512yes—
1277C22×C4C2512yes—
1278C22×C4C2512yes—
1279C22×C4C2511yescharacteristic
1280C22×C4C2512yes—
1281C22×C4C2512yes—
1282C22×C4C2514yes—
1283C22×C4C2514yes—
1284C22×C4C2511yescharacteristic
1285C22×C4C2511yescharacteristic
1286C22×C4C2512yes—
1287C22×C4C2512yes—
1288C22×C4C2512yes—
1289C22×C4C2511yescharacteristic
1290C22×C4C2511yescharacteristic
1291C22×C4C2514yes—
1292C22×C4C2512yes—
1293C22×C4C2514yes—
1294C22×C4C2512yes—
1295C22×C4C2512yes—
1296C22×C4C2511yescharacteristic
1297C22×C4C2511yescharacteristic
1298C22×C4C2511yescharacteristic
1299C22×C4C2511yescharacteristic
1300C22×C4C2511yescharacteristic
1301C22×C4C2511yescharacteristic
1302C4⋊C4—24no—
1303C4⋊C4—22no—
1304C4⋊C4—22no—
1305C4⋊C4—24no—
1306C4⋊C4—22no—
1307C4⋊C4—24no—
1308C4⋊C4—22no—
1309C4⋊C4—22no—
1310C4⋊C4—24no—
1311C4⋊C4—24no—
1312C4⋊C4—24no—
1313C4⋊C4—24no—
1314C4⋊C4—22no—
1315C4⋊C4—22no—
1316C4⋊C4—22no—
1317C4⋊C4—22no—
1318C4⋊C4—22no—
1319C4⋊C4—44no—
1320C4⋊C4—44no—
1321C4⋊C4—44no—
1322C4⋊C4—44no—
1323C4⋊C4—42no—
1324C4⋊C4—42no—
1325C4⋊C4—42no—
1326C4⋊C4—44no—
1327C4⋊C4—42no—
1328C4⋊C4—42no—
1329C4⋊C4—42no—
1330C4⋊C4—42no—
1331C4⋊C4—42no—
1332C4⋊C4—41no—
1333C4⋊C4—41no—
1334C4⋊C4—42no—
1335C4⋊C4—42no—
1336C4⋊C4—42no—
1337C4⋊C4—44no—
1338C4⋊C4—42no—
1339C4⋊C4—44no—
1340C4⋊C4—44no—
1341C4⋊C4—44no—
1342C4⋊C4—42no—
1343C4⋊C4—44no—
1344C4⋊C4—42no—
1345C4⋊C4—44no—
1346C4⋊C4—42no—
1347C4⋊C4—44no—
1348C4⋊C4—42no—
1349C4⋊C4—44no—
1350C4⋊C4—44no—
1351C4⋊C4—42no—
1352C4⋊C4C23×C414yes—
1353C4⋊C4C23×C4116yes—
1354C4⋊C4C23×C418yes—
1355C4⋊C4C23×C414yes—
1356C4⋊C4C23×C418yes—
1357C4⋊C4C23×C414yes—
1358C4⋊C4C23×C418yes—
1359C4⋊C4C23×C418yes—
1360C4⋊C4C23×C4116yes—
1361C4⋊C4C23×C418yes—
1362C4⋊C4C23×C4116yes—
1363C4⋊C4C23×C4116yes—
1364C4⋊C4C23×C4116yes—
1365C4⋊C4C23×C4116yes—
1366C4⋊C4C23×C4116yes—
1367C4⋊C4C23×C4116yes—
1368C4⋊C4C23×C418yes—
1369C4⋊C4C23×C418yes—
1370C4⋊C4C23×C414yes—
1371C4⋊C4C23×C418yes—
1372C4⋊C4C23×C4116yes—
1373C4⋊C4C23×C418yes—
1374C4⋊C4C23×C418yes—
1375C4⋊C4C23×C4116yes—
1376C22⋊C4—22no—
1377C22⋊C4—24no—
1378C22⋊C4—24no—
1379C22⋊C4—22no—
1380C22⋊C4—24no—
1381C22⋊C4—42no—
1382C22⋊C4—42no—
1383C22⋊C4—42no—
1384C22⋊C4—42no—
1385C22⋊C4—42no—
1386C22⋊C4—42no—
1387C22⋊C4—41no—
1388C22⋊C4—42no—
1389C22⋊C4—42no—
1390C22⋊C4—42no—
1391C22⋊C4—41no—
1392C22⋊C4—42no—
1393C22⋊C4—44no—
1394C22⋊C4—44no—
1395C22⋊C4—44no—
1396C22⋊C4—42no—
1397C22⋊C4—44no—
1398C22⋊C4—42no—
1399C22⋊C4—42no—
1400C22⋊C4—44no—
1401C22⋊C4—44no—
1402C22⋊C4—42no—
1403C22⋊C4—44no—
1404C22⋊C4—42no—
1405C22⋊C4C23×C418yes—
1406C22⋊C4C23×C418yes—
1407C22⋊C4C23×C418yes—
1408C22⋊C4C23×C4116yes—
1409C22⋊C4C23×C418yes—
1410C22⋊C4C23×C418yes—
1411C22⋊C4C23×C418yes—
1412C22⋊C4C23×C4116yes—
1413C22⋊C4C23×C4116yes—
1414C22⋊C4C23×C4116yes—
1415C22⋊C4C23×C418yes—
1416C22⋊C4C23×C418yes—
1417C42—24no—
1418C42—22no—
1419C42—24no—
1420C42—22no—
1421C42—24no—
1422C42—22no—
1423C42—24no—
1424C42—22no—
1425C42—24no—
1426C42—22no—
1427C42—22no—
1428C42—22no—
1429C42—42no—
1430C42—42no—
1431C42—42no—
1432C42—44no—
1433C42—44no—
1434C42—44no—
1435C42—42no—
1436C42—41no—
1437C42—42no—
1438C42—42no—
1439C42—41no—
1440C42—44no—
1441C42—44no—
1442C42—44no—
1443C42—44no—
1444C42—42no—
1445C42—44no—
1446C42—42no—
1447C42—44no—
1448C42—44no—
1449C42—44no—
1450C42—42no—
1451C42—42no—
1452C42—42no—
1453C42—44no—
1454C42—44no—
1455C42—44no—
1456C42—44no—
1457C42—42no—
1458C42—42no—
1459C42—41no—
1460C42—41no—
1461C42C23×C414yes—
1462C42C23×C418yes—
1463C42C23×C414yes—
1464C42C23×C414yes—
1465C42C23×C418yes—
1466C42C23×C414yes—
1467C42C23×C418yes—
1468C42C23×C4116yes—
1469C42C23×C4116yes—
1470C42C23×C418yes—
1471C422−1+414yes—
1472C23—22no—
1473C23—21no—
1474C23—22no—
1475C23—22no—
1476C23—21no—
1477C23—22no—
1478C23—21no—
1479C23—22no—
1480C23—22no—
1481C23—21no—
1482C23—22no—
1483C23—22no—
1484C23—22no—
1485C23—22no—
1486C23—21no—
1487C23—22no—
1488C23—21no—
1489C23—22no—
1490C23C24×C412yes—
1491C23C24×C414yes—
1492C23C24×C414yes—
1493C23C2611yescharacteristic
1494Q8—28no—
1495Q8—216no—
1496Q8—28no—
1497Q8—48no—
1498D4—28no—
1499D4—28no—
1500D4—48no—
1501D4—48no—
1502D4—416no—
1503C2×C4—22no—
1504C2×C4—22no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—22no—
1509C2×C4—22no—
1510C2×C4—22no—
1511C2×C4—22no—
1512C2×C4—22no—
1513C2×C4—24no—
1514C2×C4—24no—
1515C2×C4—22no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—22no—
1521C2×C4—22no—
1522C2×C4—24no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—22no—
1527C2×C4—21no—
1528C2×C4—22no—
1529C2×C4—24no—
1530C2×C4—21no—
1531C2×C4—216no—
1532C2×C4—28no—
1533C2×C4—28no—
1534C2×C4—216no—
1535C2×C4—21no—
1536C2×C4—22no—
1537C2×C4—21no—
1538C2×C4—22no—
1539C2×C4—22no—
1540C2×C4—22no—
1541C2×C4—21no—
1542C2×C4—22no—
1543C2×C4—22no—
1544C2×C4—21no—
1545C2×C4—22no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—22no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—22no—
1554C2×C4—21no—
1555C2×C4—22no—
1556C2×C4—21no—
1557C2×C4—22no—
1558C2×C4—22no—
1559C2×C4—22no—
1560C2×C4—22no—
1561C2×C4—22no—
1562C2×C4—24no—
1563C2×C4—24no—
1564C2×C4—24no—
1565C2×C4—22no—
1566C2×C4—24no—
1567C2×C4—21no—
1568C2×C4—22no—
1569C2×C4—22no—
1570C2×C4—22no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—22no—
1574C2×C4—24no—
1575C2×C4—24no—
1576C2×C4—22no—
1577C2×C4—22no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—22no—
1581C2×C4—21no—
1582C2×C4—22no—
1583C2×C4—48no—
1584C2×C4—416no—
1585C2×C4—44no—
1586C2×C4—416no—
1587C2×C4—48no—
1588C2×C4—416no—
1589C2×C4—48no—
1590C2×C4—84no—
1591C2×C4—88no—
1592C2×C4—164no—
1593C2×C4C24×C412yes—
1594C2×C4C24×C412yes—
1595C2×C4C24×C412yes—
1596C2×C4C24×C414yes—
1597C2×C4C24×C414yes—
1598C2×C4C24×C414yes—
1599C2×C4C24×C412yes—
1600C2×C4C24×C414yes—
1601C2×C4C24×C418yes—
1602C2×C4C24×C418yes—
1603C2×C4C24×C414yes—
1604C2×C4C24×C414yes—
1605C2×C4C24×C412yes—
1606C2×C4C24×C412yes—
1607C2×C4C2×2−1+412yes—
1608C2×C4C2×2−1+412yes—
1609C2×C4C2×2−1+412yes—
1610C2×C4#58512yes—
1611C2×C4#58512yes—
1612C2×C4#58512yes—
1613C22—22no—
1614C22—24no—
1615C22—24no—
1616C22—24no—
1617C22—22no—
1618C22—24no—
1619C22—24no—
1620C22—24no—
1621C22—22no—
1622C22—42no—
1623C22—41no—
1624C22—42no—
1625C22—42no—
1626C22—42no—
1627C22—41no—
1628C22—41no—
1629C22—42no—
1630C22—42no—
1631C22—42no—
1632C22—41no—
1633C22—42no—
1634C22C25×C411yescharacteristic
1635C22C22×2−1+411yescharacteristic
1636C22C2×#58511yescharacteristic
1637C22C2×#58511yescharacteristic
1638C22C2×#58511yescharacteristic
1639C22H(7,𝔽2)11yescharacteristic
1640C222−1+611yescharacteristic
1641C4—24no—
1642C4—22no—
1643C4—24no—
1644C4—28no—
1645C4—24no—
1646C4—22no—
1647C4—24no—
1648C4—24no—
1649C4—22no—
1650C4—24no—
1651C4—28no—
1652C4—22no—
1653C4—22no—
1654C4—22no—
1655C4—41no—
1656C4—42no—
1657C4—42no—
1658C4—42no—
1659C4—42no—
1660C4—41no—
1661C4—42no—
1662C4—42no—
1663C4—41no—
1664C4—41no—
1665C4—42no—
1666C4—41no—
1667C4—41no—
1668C4—42no—
1669C4—44no—
1670C4—44no—
1671C4#342814yes—
1672C4C4×2−1+414yes—
1673C2—42no—
1674C2—44no—
1675C2—44no—
1676C2C2×#342811yescharacteristic
1677C2C2×C4×2−1+411yescharacteristic
1678C2#6265411yescharacteristic
1679C2#6292611yescharacteristic
1680C2#6293911yescharacteristic
1681C2#6295611yescharacteristic
1682C2#6296911yescharacteristic
subgroupG/H
center, Frattini, socle, cosocleC23C26
commutatorC22C25×C4
prime radicalC2×#3515C2
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. #34484C2semidirect
4. #34483C2semidirect
5. #34482C2semidirect
6. #34480C2semidirect
7. #34480C2semidirect
8. #34473C2semidirect
9. #34462C2semidirect
10. #34449C2semidirect
11. #34444C2semidirect
12. #34430C2semidirect
13. #34421C2semidirect
14. #34394C2semidirect
15. #34392C2semidirect
16. #34384C2semidirect
17. #34378C2semidirect
18. #34328C2semidirect
19. #34319C2semidirect
20. #34318C2semidirect
21. #34318C2semidirect
22. #34317C2semidirect
23. #34317C2semidirect
24. #34316C2semidirect
25. #34304C2semidirect
26. #34263C2semidirect
27. #34252C2semidirect
28. #34217C2semidirect
29. #34214C2semidirect
30. #34188C2semidirect
31. C4×#557C2semidirect
32. C4×#554C2semidirect
33. #34125C2semidirect
34. #34084C2semidirect
35. #34084C2semidirect
36. #3515C4semidirect
302. #557C2×C4semidirect
303. #554C2×C4semidirect
304. #554C2×C4semidirect
306. #552C2×C4semidirect
307. #552C2×C4semidirect
308. #552C2×C4semidirect
309. #547C2×C4semidirect
310. #547C2×C4semidirect
311. #541C2×C4semidirect
312. #539C2×C4semidirect
313. #533C2×C4semidirect
318. #529C2×C4semidirect
323. C2×#125C2×C4semidirect
350. #520C2×C4semidirect
351. C4×#41C2×C4semidirect

Maximal subgroups

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

subgroupindex
C2×#35152
#345012
#344842
#344832
#344822
#344802
#344732
#344622
#344492
#344442
#344302
#344212
#343942
#343922
#343842
#343782
#343282
#343192
#343182
#343172
#343162
#343042
#342632
#342522
#342172
#342142
#341882
C4×#5572
C4×#5542
#341252
#340842