Finite Group Databasebeta

← #7626909

Subgroups — #7626909

Order 512.

6532 conjugacy classes of subgroups.

The subgroup lattice has 1688 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3518C211yesmaximal, characteristic
2#34505C214yesmaximal, complemented
3#34499C214yesmaximal, complemented
4#34496C212yesmaximal, complemented
5#34491C211yesmaximal, characteristic, complemented
6#34487C211yesmaximal, characteristic, complemented
7#34472C212yesmaximal, complemented
8#34467C212yesmaximal, complemented
9#34463C212yesmaximal, complemented
10#34453C214yesmaximal, complemented
11#34447C214yesmaximal, complemented
12#34429C212yesmaximal, complemented
13#34419C212yesmaximal, complemented
14#34394C212yesmaximal, complemented
15#34394C211yesmaximal, characteristic, complemented
16#34392C212yesmaximal, complemented
17#34384C211yesmaximal, characteristic, complemented
18#34335C211yesmaximal, characteristic, complemented
19#34334C211yesmaximal, characteristic, complemented
20#34324C211yesmaximal, characteristic, complemented
21#34322C212yesmaximal, complemented
22#34321C211yesmaximal, characteristic, complemented
23#34307C212yesmaximal, complemented
24#34307C212yesmaximal, complemented
25#34306C212yesmaximal, complemented
26#34262C212yesmaximal, complemented
27#34254C212yesmaximal, complemented
28#34220C212yesmaximal, complemented
29#34214C211yesmaximal, characteristic, complemented
30#34188C211yesmaximal, characteristic, complemented
31C4×#556C211yesmaximal, characteristic, complemented
32C4×#555C211yesmaximal, characteristic, complemented
33#34123C211yesmaximal, characteristic, complemented
34#34084C211yesmaximal, characteristic, complemented
35#34074C212yesmaximal, complemented
36#3518C4132yescomplemented
37C2×Q82C2211yescharacteristic
38C2×#556C2212yes—
39C2×#556C2212yes—
40C2×#556C2211yescharacteristic
41C2×#556C2214yes—
42C2×#555C2212yes—
43C2×#555C2211yescharacteristic
44C2×D4×Q8C2211yescharacteristic
45C2×#548C2212yes—
46C2×#542C2212yes—
47C2×#542C2214yes—
48C2×#533C2212yes—
49C2×#533C2211yescharacteristic
50C2×#529C2211yescharacteristic
51C2×#529C2212yes—
52C2×#519C2212yes—
53C2×C4×#41C2211yescharacteristic
54#2383C2214yes—
55#2383C2214yes—
56#2381C2214yes—
57#2379C2214yes—
58#2379C2214yes—
59#2378C2214yes—
60#2378C2214yes—
61#2378C2214yes—
62#2378C2214yes—
63#2377C2214yes—
64#2376C2214yes—
65#2376C2214yes—
66#2373C2214yes—
67#2373C2214yes—
68#2373C2214yes—
69#2373C2214yes—
70#2373C2214yes—
71#2373C2214yes—
72#2373C2214yes—
73#2372C2214yes—
74#2372C2214yes—
75#2372C2214yes—
76#2369C2212yes—
77#2369C2212yes—
78#2369C2211yescharacteristic
79#2369C2212yes—
80#2369C2211yescharacteristic
81#2368C2214yes—
82#2367C2214yes—
83#2367C2214yes—
84#2367C2214yes—
85#2367C2212yes—
86#2367C2212yes—
87#2365C2212yes—
88#2365C2212yes—
89#2365C2211yescharacteristic
90#2365C2212yes—
91#2365C2214yes—
92#2365C2211yescharacteristic
93#2364C2214yes—
94#2363C2212yes—
95#2363C2212yes—
96#2363C2212yes—
97#2362C2212yes—
98#2362C2212yes—
99#2362C2212yes—
100#2361C2212yes—
101#2361C2212yes—
102#2360C2212yes—
103#2360C2212yes—
104#2360C2212yes—
105#2360C2212yes—
106#2360C2212yes—
107#2360C2212yes—
108#2359C2214yes—
109#2359C2214yes—
110#2357C2212yes—
111#2356C2212yes—
112#2356C2214yes—
113#2356C2212yes—
114#2356C2214yes—
115#2356C2211yescharacteristic
116#2356C2211yescharacteristic
117#2356C2212yes—
118#2356C2212yes—
119#2355C2212yes—
120#2355C2211yescharacteristic
121#2355C2211yescharacteristic
122#2355C2212yes—
123#2355C2211yescharacteristic
124#2355C2212yes—
125#2355C2212yes—
126#2355C2214yes—
127#2355C2212yes—
128#2354C2211yescharacteristic
129#2354C2211yescharacteristic
130#2354C2211yescharacteristic
131#2354C2212yes—
132#2353C2212yes—
133#2353C2212yes—
134#2353C2214yes—
135#2352C2212yes—
136#2352C2212yes—
137#2352C2212yes—
138#2352C2214yes—
139#2351C2214yes—
140#2351C2212yes—
141#2351C2212yes—
142Q8×C4⋊C4C2211yescharacteristic
143Q8×C4⋊C4C2212yes—
144Q8×C4⋊C4C2212yes—
145#2349C2212yes—
146#2349C2211yescharacteristic
147#2349C2211yescharacteristic
148#2349C2214yes—
149D4×C4⋊C4C2211yescharacteristic
150D4×C4⋊C4C2212yes—
151#2347C2212yes—
152#2347C2212yes—
153#2347C2212yes—
154#2347C2214yes—
155#2347C2212yes—
156#2346C2212yes—
157#2346C2211yescharacteristic
158#2346C2212yes—
159#2346C2211yescharacteristic
160#2346C2212yes—
161#2346C2212yes—
162#2346C2214yes—
163#2343C2214yes—
164#2343C2212yes—
165#2343C2212yes—
166#2343C2214yes—
167#2343C2214yes—
168#2343C2214yes—
169Q8×C22⋊C4C2212yes—
170Q8×C22⋊C4C2212yes—
171#2339C2211yescharacteristic
172#2339C2211yescharacteristic
173#2337C2214yes—
174#2337C2214yes—
175#2337C2214yes—
176#2337C2214yes—
177#2337C2214yes—
178#2335C2212yes—
179#2335C2212yes—
180#2334C2214yes—
181#2334C2214yes—
182#2334C2214yes—
183#2334C2214yes—
184#2334C2214yes—
185#2334C2212yes—
186#2334C2212yes—
187#2334C2214yes—
188#2333C2214yes—
189#2332C2214yes—
190#2331C2212yes—
191#2331C2212yes—
192#2331C2212yes—
193#2331C2212yes—
194#2331C2212yes—
195#2331C2214yes—
196#2330C2211yescharacteristic
197#2330C2212yes—
198#2330C2212yes—
199#2330C2212yes—
200#2330C2211yescharacteristic
201#2330C2212yes—
202#2330C2212yes—
203#2329C2214yes—
204#2329C2214yes—
205#2329C2214yes—
206#2329C2214yes—
207#2329C2214yes—
208#2327C2214yes—
209#2326C2212yes—
210#2326C2211yescharacteristic
211#2326C2211yescharacteristic
212#2326C2212yes—
213#2326C2214yes—
214#2325C2214yes—
215#2324C2211yescharacteristic
216#2324C2212yes—
217#2324C2211yescharacteristic
218#2323C2211yescharacteristic
219#2323C2212yes—
220#2323C2212yes—
221#2323C2212yes—
222#2323C2211yescharacteristic
223#2323C2214yes—
224#2323C2214yes—
225#2322C2214yes—
226#2320C2214yes—
227#2320C2214yes—
228#2320C2214yes—
229#2320C2212yes—
230#2320C2214yes—
231#2320C2212yes—
232#2319C2214yes—
233#2319C2212yes—
234#2318C2214yes—
235#2317C2212yes—
236#2317C2212yes—
237#2314C2212yes—
238#2314C2214yes—
239#2314C2214yes—
240#2311C2212yes—
241#2310C2212yes—
242C4×C4⋊Q8C2211yescharacteristic
243C4×C4⋊Q8C2212yes—
244C4×C4⋊Q8C2211yescharacteristic
245C4×C4⋊Q8C2211yescharacteristic
246C4×C4⋊Q8C2211yescharacteristic
247C4×#126C2214yes—
248C4×#126C2214yes—
249C4×#124C2214yes—
250C4×#124C2214yes—
251C4×#124C2212yes—
252C4×C22⋊Q8C2212yes—
253C4×C22⋊Q8C2212yes—
254C4×C22⋊Q8C2212yes—
255C4×#121C2212yes—
256C4×#121C2212yes—
257C4×#121C2212yes—
258#2298C2214yes—
259#2298C2212yes—
260#2296C2212yes—
261#2296C2212yes—
262#2296C2212yes—
263#2295C2214yes—
264#2295C2214yes—
265#2295C2214yes—
266#2295C2211yescharacteristic
267#2295C2214yes—
268#2295C2214yes—
269#2295C2211yescharacteristic
270#2295C2212yes—
271#2295C2211yescharacteristic
272C2×#391C2212yes—
273#2293C2211yescharacteristic
274#2293C2212yes—
275#2290C2212yes—
276#2290C2212yes—
277#2290C2212yes—
278#2285C2212yes—
279#2285C2211yescharacteristic
280#2285C2212yes—
281C2×#384C2211yescharacteristic
282#2283C2211yescharacteristic
283#2283C2212yes—
284#2276C2212yes—
285#2276C2212yes—
286#2275C2212yes—
287#2274C2212yes—
288#2274C2212yes—
289#2274C2212yes—
290C42×Q8C2212yes—
291C42×Q8C2211yescharacteristic
292C42×D4C2211yescharacteristic
293C42×D4C2211yescharacteristic
294C42×D4C2211yescharacteristic
295C4×#117C2212yes—
296C4×#117C2212yes—
297C4×#117C2212yes—
298C4×#117C2211yescharacteristic
299C2×#376C2212yes—
300C22×#41C2311yescharacteristic
301C23×Q8C2312yes—
302Q82C2×C4116yescomplemented
303#556C2×C4132yescomplemented
304#556C2×C4164yescomplemented
305#556C2×C4132yescomplemented
306#556C2×C4116yescomplemented
307#555C2×C4132yescomplemented
308#555C2×C4116yescomplemented
309D4×Q8C2×C4116yescomplemented
310#548C2×C4132yescomplemented
311#542C2×C4132yescomplemented
312#542C2×C4164yescomplemented
313#533C2×C4132yescomplemented
314#533C2×C4116yescomplemented
315C2×C4⋊Q8C2311yescharacteristic
316C2×C4⋊Q8C2311yescharacteristic
317C2×C4⋊Q8C2312yes—
318C2×C4⋊Q8C2314yes—
319C2×C4⋊Q8C2312yes—
320C2×C4⋊Q8C2312yes—
321#529C2×C4116yescomplemented
322#529C2×C4132yescomplemented
323C2×#126C2314yes—
324C2×#126C2314yes—
325C2×#126C2314yes—
326C2×#126C2314yes—
327C2×#126C2312yes—
328C2×#125C2311yescharacteristic
329C2×#125C2312yes—
330C2×#124C2311yescharacteristic
331C2×#124C2314yes—
332C2×#124C2312yes—
333C2×#124C2314yes—
334C2×#124C2314yes—
335C2×#124C2314yes—
336C2×#123C2312yes—
337C2×#123C2314yes—
338C2×C22⋊Q8C2314yes—
339C2×C22⋊Q8C2311yescharacteristic
340C2×C22⋊Q8C2312yes—
341C2×C22⋊Q8C2312yes—
342C2×C22⋊Q8C2314yes—
343C2×C22⋊Q8C2314yes—
344C2×C22⋊Q8C2312yes—
345C2×C22⋊Q8C2312yes—
346C2×#121C2311yescharacteristic
347C2×#121C2312yes—
348C2×#121C2314yes—
349C2×#121C2312yes—
350#519C2×C4132yescomplemented
351C4×#41C2×C4116yescomplemented
352C2×C4×Q8C2311yescharacteristic
353C2×C4×Q8C2312yes—
354C2×C4×Q8C2312yes—
355C2×C4×Q8C2312yes—
356C2×C4×Q8C2311yescharacteristic
357C2×C4×Q8C2312yes—
358C2×C4×Q8C2312yes—
359C2×C4×Q8C2314yes—
360C2×C4×Q8C2312yes—
361C2×C4×Q8C2312yes—
362C2×C4×Q8C2314yes—
363C2×C4×Q8C2312yes—
364C2×C4×Q8C2314yes—
365C2×C4×Q8C2312yes—
366C2×C4×Q8C2312yes—
367C2×C4×Q8C2314yes—
368C2×C4×Q8C2312yes—
369C2×C4×Q8C2311yescharacteristic
370C2×C4×Q8C2314yes—
371C2×C4×Q8C2311yescharacteristic
372C2×C4×Q8C2311yescharacteristic
373C2×C4×Q8C2312yes—
374C2×C4×D4C2311yescharacteristic
375C2×C4×D4C2311yescharacteristic
376C2×C4×D4C2311yescharacteristic
377C2×C4×D4C2311yescharacteristic
378C2×C4×D4C2312yes—
379C2×C4×D4C2311yescharacteristic
380C2×C4×D4C2311yescharacteristic
381C2×C4×D4C2314yes—
382C2×C4×D4C2314yes—
383C2×C4×D4C2314yes—
384C2×C4×D4C2314yes—
385C2×C4×D4C2312yes—
386C2×C4×D4C2312yes—
387C2×C4×D4C2311yescharacteristic
388C2×C4×D4C2311yescharacteristic
389C2×C4×D4C2312yes—
390C2×C4×D4C2312yes—
391C2×C4×D4C2311yescharacteristic
392C2×#117C2311yescharacteristic
393C2×#117C2312yes—
394C2×#117C2312yes—
395C2×#117C2312yes—
396C2×#117C2311yescharacteristic
397C2×#117C2312yes—
398C2×#117C2312yes—
399C2×#117C2314yes—
400C2×#117C2312yes—
401C2×#117C2312yes—
402C2×#117C2314yes—
403C2×#117C2312yes—
404C2×#117C2314yes—
405C2×#117C2311yescharacteristic
406C2×#117C2312yes—
407C2×#117C2312yes—
408C2×#117C2312yes—
409C22×C4⋊C4C2312yes—
410C22×C4⋊C4C2312yes—
411C22×C4⋊C4C2312yes—
412C22×C4⋊C4C2312yes—
413C22×C42C2312yes—
414C22×C42C2312yes—
415C22×C42C2312yes—
416C22×C42C2312yes—
417C22×C42C2311yescharacteristic
418#391C2312yes—
419#391C2314yes—
420#391C2312yes—
421#391C2312yes—
422#391C2312yes—
423#391C2311yescharacteristic
424#391C2312yes—
425#391C2314yes—
426#391C2314yes—
427#391C2312yes—
428#391C2312yes—
429#391C2311yescharacteristic
430#391C2311yescharacteristic
431#391C2314yes—
432#391C2312yes—
433#391C2314yes—
434#391C2314yes—
435#391C2314yes—
436#391C2314yes—
437#391C2312yes—
438#391C2311yescharacteristic
439#391C2314yes—
440#391C2314yes—
441#391C2314yes—
442#391C2314yes—
443#391C2314yes—
444#391C2314yes—
445#391C2314yes—
446#391C2314yes—
447#391C2311yescharacteristic
448#391C2311yescharacteristic
449#390C2312yes—
450#390C2312yes—
451#390C2311yescharacteristic
452#390C2314yes—
453#390C2312yes—
454#390C2314yes—
455#390C2311yescharacteristic
456#390C2312yes—
457#390C2312yes—
458#389C2311yescharacteristic
459#389C2312yes—
460#389C2312yes—
461#389C2312yes—
462#389C2312yes—
463#389C2312yes—
464#389C2312yes—
465#389C2312yes—
466#389C2312yes—
467#389C2314yes—
468#389C2314yes—
469#389C2314yes—
470#389C2314yes—
471#389C2314yes—
472#389C2312yes—
473#389C2312yes—
474#389C2312yes—
475#389C2314yes—
476#389C2314yes—
477#389C2314yes—
478#389C2312yes—
479#389C2312yes—
480#389C2314yes—
481#389C2314yes—
482#389C2311yescharacteristic
483#389C2312yes—
484#389C2314yes—
485#389C2311yescharacteristic
486#389C2311yescharacteristic
487#389C2312yes—
488#389C2311yescharacteristic
489#389C2311yescharacteristic
490#389C2312yes—
491#389C2312yes—
492#389C2314yes—
493#389C2314yes—
494#389C2314yes—
495#389C2314yes—
496#389C2312yes—
497#389C2312yes—
498#389C2312yes—
499#389C2312yes—
500#389C2312yes—
501#389C2311yescharacteristic
502#389C2314yes—
503#389C2311yescharacteristic
504#388C2312yes—
505#388C2312yes—
506#388C2314yes—
507#388C2314yes—
508#388C2314yes—
509#388C2314yes—
510#388C2312yes—
511#388C2314yes—
512#388C2314yes—
513#388C2314yes—
514#388C2314yes—
515#388C2314yes—
516#388C2314yes—
517#388C2314yes—
518#388C2314yes—
519#388C2312yes—
520#388C2314yes—
521#388C2314yes—
522#388C2314yes—
523#388C2314yes—
524#388C2314yes—
525#388C2314yes—
526#388C2314yes—
527#388C2314yes—
528#388C2314yes—
529#388C2314yes—
530#388C2314yes—
531#388C2314yes—
532#388C2312yes—
533#388C2314yes—
534#388C2314yes—
535#388C2314yes—
536#388C2312yes—
537#388C2312yes—
538#388C2314yes—
539#388C2314yes—
540#388C2312yes—
541#388C2312yes—
542#388C2312yes—
543#388C2312yes—
544#388C2312yes—
545#388C2314yes—
546#388C2312yes—
547#388C2312yes—
548#388C2314yes—
549#388C2312yes—
550#388C2314yes—
551#388C2312yes—
552#387C2314yes—
553#387C2314yes—
554#387C2314yes—
555#387C2314yes—
556#387C2314yes—
557#387C2314yes—
558#387C2314yes—
559#387C2312yes—
560#387C2314yes—
561#387C2314yes—
562#387C2314yes—
563#387C2314yes—
564#387C2314yes—
565#387C2314yes—
566#387C2314yes—
567#387C2314yes—
568#387C2314yes—
569#387C2312yes—
570#387C2312yes—
571#387C2314yes—
572#387C2314yes—
573#387C2314yes—
574#387C2314yes—
575#387C2314yes—
576#387C2314yes—
577#387C2314yes—
578#387C2314yes—
579#387C2314yes—
580#387C2314yes—
581#387C2314yes—
582#387C2312yes—
583#387C2312yes—
584#387C2312yes—
585#387C2312yes—
586#387C2314yes—
587#387C2312yes—
588#387C2312yes—
589#387C2312yes—
590#387C2314yes—
591#387C2314yes—
592#387C2314yes—
593#387C2314yes—
594#387C2314yes—
595#387C2314yes—
596#387C2314yes—
597#387C2314yes—
598#387C2314yes—
599#387C2312yes—
600#387C2312yes—
601#387C2312yes—
602#387C2314yes—
603#387C2312yes—
604#387C2312yes—
605#387C2312yes—
606#386C2314yes—
607#386C2314yes—
608#386C2314yes—
609#386C2314yes—
610#386C2314yes—
611#386C2312yes—
612#386C2312yes—
613#386C2314yes—
614#386C2312yes—
615#386C2312yes—
616#386C2314yes—
617#386C2312yes—
618#386C2312yes—
619#385C2314yes—
620#385C2314yes—
621#385C2314yes—
622#385C2314yes—
623#385C2312yes—
624#385C2314yes—
625#385C2314yes—
626#385C2314yes—
627#385C2314yes—
628#385C2312yes—
629#385C2312yes—
630#385C2314yes—
631#385C2312yes—
632#385C2314yes—
633#385C2312yes—
634#385C2314yes—
635#385C2312yes—
636#385C2312yes—
637#385C2314yes—
638#385C2314yes—
639#385C2312yes—
640#385C2312yes—
641#385C2314yes—
642#385C2314yes—
643#385C2312yes—
644#384C2311yescharacteristic
645#384C2311yescharacteristic
646#384C2312yes—
647#384C2312yes—
648#384C2314yes—
649#384C2312yes—
650#384C2312yes—
651#384C2311yescharacteristic
652#384C2311yescharacteristic
653#383C2314yes—
654#383C2314yes—
655#383C2314yes—
656#383C2314yes—
657#383C2314yes—
658#383C2312yes—
659#383C2312yes—
660#383C2312yes—
661#382C2312yes—
662#382C2311yescharacteristic
663#382C2314yes—
664#382C2311yescharacteristic
665#382C2314yes—
666#382C2312yes—
667#382C2314yes—
668#382C2314yes—
669#382C2314yes—
670#382C2314yes—
671#382C2314yes—
672#382C2312yes—
673#382C2312yes—
674#382C2312yes—
675#382C2312yes—
676#381C2314yes—
677#381C2314yes—
678#381C2312yes—
679#381C2312yes—
680#381C2312yes—
681#380C2314yes—
682#380C2314yes—
683#380C2314yes—
684#380C2314yes—
685#380C2312yes—
686#380C2312yes—
687#380C2311yescharacteristic
688#380C2311yescharacteristic
689#380C2312yes—
690#380C2312yes—
691#380C2311yescharacteristic
692#380C2311yescharacteristic
693#380C2314yes—
694#380C2312yes—
695#380C2312yes—
696#380C2312yes—
697C4×C4⋊C4C2312yes—
698C4×C4⋊C4C2312yes—
699C4×C4⋊C4C2314yes—
700C4×C4⋊C4C2314yes—
701C4×C4⋊C4C2314yes—
702C4×C4⋊C4C2314yes—
703C4×C4⋊C4C2312yes—
704C4×C4⋊C4C2312yes—
705C4×C4⋊C4C2312yes—
706C4×C4⋊C4C2312yes—
707C4×C4⋊C4C2312yes—
708C4×C4⋊C4C2312yes—
709C4×C4⋊C4C2312yes—
710C4×C4⋊C4C2314yes—
711C4×C4⋊C4C2312yes—
712C4×C4⋊C4C2312yes—
713C4×C4⋊C4C2314yes—
714C4×C4⋊C4C2312yes—
715C4×C4⋊C4C2314yes—
716C4×C4⋊C4C2314yes—
717C4×C4⋊C4C2312yes—
718C4×C4⋊C4C2314yes—
719C4×C4⋊C4C2314yes—
720C4×C4⋊C4C2312yes—
721C4×C4⋊C4C2314yes—
722C4×C4⋊C4C2314yes—
723C4×C4⋊C4C2314yes—
724C4×C4⋊C4C2312yes—
725C4×C4⋊C4C2311yescharacteristic
726C4×C4⋊C4C2311yescharacteristic
727C4×C4⋊C4C2312yes—
728C4×C4⋊C4C2314yes—
729C4×C4⋊C4C2311yescharacteristic
730C4×C4⋊C4C2311yescharacteristic
731C4×C4⋊C4C2312yes—
732C4×C4⋊C4C2312yes—
733C4×C4⋊C4C2312yes—
734C4×C4⋊C4C2312yes—
735C4×C4⋊C4C2312yes—
736C4×C4⋊C4C2312yes—
737C4×C4⋊C4C2312yes—
738C4×C4⋊C4C2311yescharacteristic
739C4×C4⋊C4C2311yescharacteristic
740C4×C4⋊C4C2314yes—
741C4×C4⋊C4C2312yes—
742C4×C4⋊C4C2314yes—
743C4×C4⋊C4C2314yes—
744C4×C4⋊C4C2314yes—
745C4×C4⋊C4C2314yes—
746C4×C4⋊C4C2314yes—
747C4×C4⋊C4C2314yes—
748C4×C4⋊C4C2311yescharacteristic
749C4×C4⋊C4C2311yescharacteristic
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2311yescharacteristic
752C4×C4⋊C4C2311yescharacteristic
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2314yes—
755C4×C4⋊C4C2311yescharacteristic
756C4×C4⋊C4C2311yescharacteristic
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2311yescharacteristic
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2311yescharacteristic
761C4×C4⋊C4C2311yescharacteristic
762C4×C4⋊C4C2311yescharacteristic
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2312yes—
766C4×C22⋊C4C2312yes—
767C4×C22⋊C4C2314yes—
768C4×C22⋊C4C2314yes—
769C4×C22⋊C4C2314yes—
770C4×C22⋊C4C2314yes—
771C4×C22⋊C4C2314yes—
772C4×C22⋊C4C2314yes—
773C4×C22⋊C4C2312yes—
774C4×C22⋊C4C2314yes—
775C4×C22⋊C4C2314yes—
776C4×C22⋊C4C2314yes—
777C4×C22⋊C4C2314yes—
778C4×C22⋊C4C2314yes—
779C4×C22⋊C4C2314yes—
780C4×C22⋊C4C2312yes—
781C4×C22⋊C4C2312yes—
782C4×C22⋊C4C2314yes—
783C4×C22⋊C4C2314yes—
784C4×C22⋊C4C2314yes—
785C4×C22⋊C4C2314yes—
786C4×C22⋊C4C2311yescharacteristic
787C4×C22⋊C4C2311yescharacteristic
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2311yescharacteristic
792C4×C22⋊C4C2311yescharacteristic
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800#376C2312yes—
801#376C2314yes—
802#376C2314yes—
803#376C2312yes—
804#376C2314yes—
805#376C2314yes—
806#376C2311yescharacteristic
807#376C2312yes—
808#376C2311yescharacteristic
809#376C2312yes—
810#376C2314yes—
811#376C2312yes—
812#376C2312yes—
813#376C2312yes—
814#376C2314yes—
815#376C2312yes—
816#376C2314yes—
817C2×#95C2314yes—
818C2×#95C2312yes—
819C2×#95C2312yes—
820C2×#95C2312yes—
821C2×#95C2312yes—
822C2×#95C2314yes—
823C43C2314yes—
824C43C2314yes—
825C43C2311yescharacteristic
826C43C2311yescharacteristic
827C43C2312yes—
828C2×#41—42no—
829C2×#41—42no—
830C2×#41C22×C418yes—
831C22×Q8—44no—
832C22×Q8—44no—
833C22×Q8C22×C4116yes—
834C22×Q8C2411yescharacteristic
835C22×Q8C2412yes—
836C22×Q8C2411yescharacteristic
837C22×Q8C2414yes—
838C22×Q8C2412yes—
839C22×Q8C2414yes—
840C22×D4C2411yescharacteristic
841C22×D4C2411yescharacteristic
842C22×D4C2412yes—
843C22×D4C2414yes—
844C22×D4C2412yes—
845C23×C4C2411yescharacteristic
846C23×C4C2411yescharacteristic
847C23×C4C2412yes—
848C23×C4C2412yes—
849C23×C4C2412yes—
850C23×C4C2412yes—
851C23×C4C2412yes—
852C23×C4C2414yes—
853C23×C4C2414yes—
854C23×C4C2412yes—
855C23×C4C2412yes—
856C23×C4C2412yes—
857C23×C4C2411yescharacteristic
858C23×C4C2414yes—
859C23×C4C2412yes—
860C23×C4C2412yes—
861C4⋊Q8C22×C418yes—
862C4⋊Q8C22×C4116yes—
863C4⋊Q8C22×C418yes—
864C4⋊Q8C22×C4116yes—
865C4⋊Q8C22×C4116yes—
866C4⋊Q8C22×C4132yes—
867#126C22×C4132yes—
868#126C22×C4116yes—
869#126C22×C4132yes—
870#126C22×C4132yes—
871#126C22×C4132yes—
872#125C22×C418yes—
873#125C22×C4116yes—
874#124C22×C418yes—
875#124C22×C4116yes—
876#124C22×C4132yes—
877#124C22×C4132yes—
878#124C22×C4132yes—
879#124C22×C4132yes—
880#123C22×C4116yes—
881#123C22×C4132yes—
882C22⋊Q8C22×C418yes—
883C22⋊Q8C22×C4116yes—
884C22⋊Q8C22×C4132yes—
885C22⋊Q8C22×C4116yes—
886C22⋊Q8C22×C4116yes—
887C22⋊Q8C22×C4132yes—
888C22⋊Q8C22×C4116yes—
889C22⋊Q8C22×C4132yes—
890#121C22×C418yes—
891#121C22×C4116yes—
892#121C22×C4116yes—
893#121C22×C4132yes—
894C4×Q8—24no—
895C4×Q8—44no—
896C4×Q8—44no—
897C4×Q8—44no—
898C4×Q8—42no—
899C4×Q8—44no—
900C4×Q8—44no—
901C4×Q8—84no—
902C4×Q8—84no—
903C4×Q8—82no—
904C4×Q8—82no—
905C4×Q8C22×C418yes—
906C4×Q8C22×C418yes—
907C4×Q8C22×C4116yes—
908C4×Q8C22×C4132yes—
909C4×Q8C22×C4116yes—
910C4×Q8C22×C4116yes—
911C4×Q8C22×C4132yes—
912C4×Q8C22×C4116yes—
913C4×Q8C22×C418yes—
914C4×Q8C22×C4116yes—
915C4×Q8C22×C4132yes—
916C4×D4—24no—
917C4×D4—42no—
918C4×D4—44no—
919C4×D4—42no—
920C4×D4—42no—
921C4×D4—42no—
922C4×D4—42no—
923C4×D4—84no—
924C4×D4—84no—
925C4×D4—84no—
926C4×D4C22×C418yes—
927C4×D4C22×C4116yes—
928C4×D4C22×C418yes—
929C4×D4C22×C4116yes—
930C4×D4C22×C4116yes—
931C4×D4C22×C4132yes—
932C4×D4C22×C418yes—
933C4×D4C22×C4116yes—
934#117—24no—
935#117—42no—
936#117—44no—
937#117—44no—
938#117—44no—
939#117—44no—
940#117—44no—
941#117—84no—
942#117C22×C418yes—
943#117C22×C4116yes—
944#117C22×C4116yes—
945#117C22×C4132yes—
946#117C22×C4116yes—
947#117C22×C4132yes—
948#117C22×C4116yes—
949#117C22×C4116yes—
950#117C22×C4116yes—
951C2×C4⋊C4—44no—
952C2×C4⋊C4—44no—
953C2×C4⋊C4—44no—
954C2×C4⋊C4—82no—
955C2×C4⋊C4C2411yescharacteristic
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2411yescharacteristic
961C2×C4⋊C4C2411yescharacteristic
962C2×C4⋊C4C2411yescharacteristic
963C2×C4⋊C4C2411yescharacteristic
964C2×C4⋊C4C2411yescharacteristic
965C2×C4⋊C4C2411yescharacteristic
966C2×C4⋊C4C2411yescharacteristic
967C2×C4⋊C4C2411yescharacteristic
968C2×C4⋊C4C2411yescharacteristic
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2411yescharacteristic
980C2×C4⋊C4C2411yescharacteristic
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2414yes—
991C2×C4⋊C4C2414yes—
992C2×C4⋊C4C2414yes—
993C2×C4⋊C4C2414yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2414yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2414yes—
1001C2×C4⋊C4C2411yescharacteristic
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2411yescharacteristic
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2411yescharacteristic
1007C2×C4⋊C4C2411yescharacteristic
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2414yes—
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2414yes—
1013C2×C4⋊C4C2414yes—
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2414yes—
1016C2×C4⋊C4C2412yes—
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2414yes—
1019C2×C4⋊C4C2414yes—
1020C2×C4⋊C4C2412yes—
1021C2×C22⋊C4C2411yescharacteristic
1022C2×C22⋊C4C2411yescharacteristic
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2414yes—
1025C2×C22⋊C4C2414yes—
1026C2×C22⋊C4C2414yes—
1027C2×C22⋊C4C2414yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2414yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2411yescharacteristic
1034C2×C22⋊C4C2411yescharacteristic
1035C2×C22⋊C4C2414yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2414yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2414yes—
1053C2×C22⋊C4C2414yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2414yes—
1059C2×C22⋊C4C2412yes—
1060C2×C42—28no—
1061C2×C42—44no—
1062C2×C42—44no—
1063C2×C42C22×C418yes—
1064C2×C42C22×C4116yes—
1065C2×C42C2411yescharacteristic
1066C2×C42C2412yes—
1067C2×C42C2411yescharacteristic
1068C2×C42C2412yes—
1069C2×C42C2411yescharacteristic
1070C2×C42C2411yescharacteristic
1071C2×C42C2411yescharacteristic
1072C2×C42C2411yescharacteristic
1073C2×C42C2412yes—
1074C2×C42C2411yescharacteristic
1075C2×C42C2412yes—
1076C2×C42C2412yes—
1077C2×C42C2412yes—
1078C2×C42C2412yes—
1079C2×C42C2414yes—
1080C2×C42C2414yes—
1081C2×C42C2414yes—
1082C2×C42C2414yes—
1083C2×C42C2414yes—
1084C2×C42C2414yes—
1085C2×C42C2414yes—
1086C2×C42C2414yes—
1087C2×C42C2411yescharacteristic
1088C2×C42C2411yescharacteristic
1089C2×C42C2412yes—
1090C2×C42C2414yes—
1091C2×C42C2414yes—
1092C2×C42C2414yes—
1093C2×C42C2412yes—
1094C2×C42C2414yes—
1095C2×C42C2414yes—
1096C2×C42C2414yes—
1097C2×C42C2412yes—
1098C2×C42C2412yes—
1099C2×C42C2414yes—
1100C2×C42C2411yescharacteristic
1101C2×C42C2411yescharacteristic
1102C2×C42C2412yes—
1103C2×C42C2412yes—
1104C2×C42C2412yes—
1105C2×C42C2412yes—
1106C2×C42C2411yescharacteristic
1107C2×C42C2414yes—
1108C2×C42C2414yes—
1109C2×C42C2414yes—
1110C2×C42C2412yes—
1111C2×C42C2411yescharacteristic
1112C2×C42C2412yes—
1113C2×C42C2414yes—
1114C2×C42C2411yescharacteristic
1115C2×C42C2412yes—
1116C2×C42C2411yescharacteristic
1117C2×C42C2411yescharacteristic
1118#95C2412yes—
1119#95C2411yescharacteristic
1120#95C2411yescharacteristic
1121#95C2411yescharacteristic
1122#95C2411yescharacteristic
1123#95C2412yes—
1124#95C2412yes—
1125#95C2412yes—
1126#95C2412yes—
1127#95C2412yes—
1128#95C2412yes—
1129#95C2412yes—
1130#95C2412yes—
1131#95C2412yes—
1132#95C2412yes—
1133#95C2412yes—
1134#95C2412yes—
1135#95C2414yes—
1136#95C2414yes—
1137#95C2414yes—
1138#95C2414yes—
1139#95C2414yes—
1140#95C2414yes—
1141#95C2412yes—
1142#95C2412yes—
1143#95C2412yes—
1144#95C2414yes—
1145#95C2412yes—
1146#95C2412yes—
1147#95C2414yes—
1148#95C2412yes—
1149#95C2412yes—
1150#95C2412yes—
1151#95C2412yes—
1152#95C2414yes—
1153#95C2411yescharacteristic
1154#95C2411yescharacteristic
1155#95C2414yes—
1156#95C2411yescharacteristic
1157#95C2411yescharacteristic
1158#95C2414yes—
1159#95C2414yes—
1160#95C2414yes—
1161#95C2414yes—
1162#95C2414yes—
1163#95C2414yes—
1164#95C2414yes—
1165#95C2412yes—
1166#95C2414yes—
1167#95C2412yes—
1168#95C2412yes—
1169#95C2414yes—
1170#95C2412yes—
1171#95C2414yes—
1172#95C2412yes—
1173#95C2412yes—
1174#95C2412yes—
1175#95C2412yes—
1176#95C2412yes—
1177#95C2412yes—
1178#95C2412yes—
1179#95C2414yes—
1180#95C2414yes—
1181#95C2414yes—
1182#95C2414yes—
1183#95C2414yes—
1184#95C2414yes—
1185#95C2412yes—
1186#95C2414yes—
1187#95C2414yes—
1188#95C2414yes—
1189#95C2412yes—
1190#95C2412yes—
1191#95C2412yes—
1192#95C2412yes—
1193#95C2412yes—
1194#95C2414yes—
1195#95C2412yes—
1196C24C2511yescharacteristic
1197C24C2512yes—
1198C24C2512yes—
1199#41—416no—
1200C2×Q8—22no—
1201C2×Q8—22no—
1202C2×Q8—24no—
1203C2×Q8—24no—
1204C2×Q8—22no—
1205C2×Q8—22no—
1206C2×Q8—44no—
1207C2×Q8—42no—
1208C2×Q8—44no—
1209C2×Q8—44no—
1210C2×Q8—42no—
1211C2×Q8—44no—
1212C2×Q8—432no—
1213C2×Q8C23×C414yes—
1214C2×Q8C23×C414yes—
1215C2×Q8C23×C418yes—
1216C2×Q8C23×C4116yes—
1217C2×Q8C23×C418yes—
1218C2×Q8C23×C4116yes—
1219C2×D4—22no—
1220C2×D4—22no—
1221C2×D4—22no—
1222C2×D4—22no—
1223C2×D4—44no—
1224C2×D4—42no—
1225C2×D4—42no—
1226C2×D4—44no—
1227C2×D4—42no—
1228C2×D4—42no—
1229C2×D4C23×C414yes—
1230C2×D4C23×C414yes—
1231C2×D4C23×C418yes—
1232C2×D4C23×C418yes—
1233C2×D4C23×C4116yes—
1234C22×C4—24no—
1235C22×C4—22no—
1236C22×C4—24no—
1237C22×C4—24no—
1238C22×C4—22no—
1239C22×C4—22no—
1240C22×C4—24no—
1241C22×C4—22no—
1242C22×C4—24no—
1243C22×C4—24no—
1244C22×C4—24no—
1245C22×C4—41no—
1246C22×C4—42no—
1247C22×C4—41no—
1248C22×C4—42no—
1249C22×C4—44no—
1250C22×C4—44no—
1251C22×C4—42no—
1252C22×C4—42no—
1253C22×C4—42no—
1254C22×C4—42no—
1255C22×C4—42no—
1256C22×C4—42no—
1257C22×C4—42no—
1258C22×C4—42no—
1259C22×C4—42no—
1260C22×C4—42no—
1261C22×C4—42no—
1262C22×C4—42no—
1263C22×C4—42no—
1264C22×C4—42no—
1265C22×C4—42no—
1266C22×C4—42no—
1267C22×C4—42no—
1268C22×C4—44no—
1269C22×C4—44no—
1270C22×C4—44no—
1271C22×C4—44no—
1272C22×C4—44no—
1273C22×C4—44no—
1274C22×C4C23×C414yes—
1275C22×C4C23×C418yes—
1276C22×C4C23×C414yes—
1277C22×C4C23×C418yes—
1278C22×C4C23×C418yes—
1279C22×C4C23×C414yes—
1280C22×C4C23×C418yes—
1281C22×C4C23×C4116yes—
1282C22×C4C2512yes—
1283C22×C4C2511yescharacteristic
1284C22×C4C2511yescharacteristic
1285C22×C4C2511yescharacteristic
1286C22×C4C2512yes—
1287C22×C4C2512yes—
1288C22×C4C2512yes—
1289C22×C4C2512yes—
1290C22×C4C2512yes—
1291C22×C4C2511yescharacteristic
1292C22×C4C2512yes—
1293C22×C4C2512yes—
1294C22×C4C2511yescharacteristic
1295C22×C4C2514yes—
1296C22×C4C2514yes—
1297C22×C4C2511yescharacteristic
1298C22×C4C2512yes—
1299C22×C4C2512yes—
1300C22×C4C2512yes—
1301C22×C4C2512yes—
1302C22×C4C2514yes—
1303C22×C4C2511yescharacteristic
1304C22×C4C2512yes—
1305C22×C4C2514yes—
1306C22×C4C2512yes—
1307C22×C4C2511yescharacteristic
1308C22×C4C2511yescharacteristic
1309C22×C4C2511yescharacteristic
1310C22×C4C2511yescharacteristic
1311C22×C4C2511yescharacteristic
1312C22×C4C2511yescharacteristic
1313C22×C4C2511yescharacteristic
1314C4⋊C4—22no—
1315C4⋊C4—22no—
1316C4⋊C4—22no—
1317C4⋊C4—24no—
1318C4⋊C4—22no—
1319C4⋊C4—22no—
1320C4⋊C4—24no—
1321C4⋊C4—24no—
1322C4⋊C4—24no—
1323C4⋊C4—24no—
1324C4⋊C4—22no—
1325C4⋊C4—22no—
1326C4⋊C4—22no—
1327C4⋊C4—22no—
1328C4⋊C4—22no—
1329C4⋊C4—44no—
1330C4⋊C4—44no—
1331C4⋊C4—44no—
1332C4⋊C4—44no—
1333C4⋊C4—42no—
1334C4⋊C4—42no—
1335C4⋊C4—42no—
1336C4⋊C4—44no—
1337C4⋊C4—42no—
1338C4⋊C4—42no—
1339C4⋊C4—42no—
1340C4⋊C4—42no—
1341C4⋊C4—42no—
1342C4⋊C4—41no—
1343C4⋊C4—41no—
1344C4⋊C4—42no—
1345C4⋊C4—42no—
1346C4⋊C4—42no—
1347C4⋊C4—44no—
1348C4⋊C4—44no—
1349C4⋊C4—44no—
1350C4⋊C4—44no—
1351C4⋊C4—42no—
1352C4⋊C4—44no—
1353C4⋊C4—44no—
1354C4⋊C4—44no—
1355C4⋊C4—44no—
1356C4⋊C4—42no—
1357C4⋊C4—42no—
1358C4⋊C4—42no—
1359C4⋊C4—44no—
1360C4⋊C4C23×C418yes—
1361C4⋊C4C23×C414yes—
1362C4⋊C4C23×C414yes—
1363C4⋊C4C23×C418yes—
1364C4⋊C4C23×C418yes—
1365C4⋊C4C23×C414yes—
1366C4⋊C4C23×C418yes—
1367C4⋊C4C23×C414yes—
1368C4⋊C4C23×C4116yes—
1369C4⋊C4C23×C418yes—
1370C4⋊C4C23×C418yes—
1371C4⋊C4C23×C4116yes—
1372C4⋊C4C23×C4116yes—
1373C4⋊C4C23×C418yes—
1374C4⋊C4C23×C418yes—
1375C4⋊C4C23×C4116yes—
1376C4⋊C4C23×C4116yes—
1377C4⋊C4C23×C418yes—
1378C4⋊C4C23×C4116yes—
1379C4⋊C4C23×C418yes—
1380C22⋊C4—22no—
1381C22⋊C4—22no—
1382C22⋊C4—24no—
1383C22⋊C4—42no—
1384C22⋊C4—42no—
1385C22⋊C4—42no—
1386C22⋊C4—41no—
1387C22⋊C4—42no—
1388C22⋊C4—41no—
1389C22⋊C4—42no—
1390C22⋊C4—42no—
1391C22⋊C4—44no—
1392C22⋊C4—44no—
1393C22⋊C4—44no—
1394C22⋊C4—44no—
1395C22⋊C4—44no—
1396C22⋊C4—42no—
1397C22⋊C4—44no—
1398C22⋊C4—42no—
1399C22⋊C4—42no—
1400C22⋊C4—42no—
1401C22⋊C4—42no—
1402C22⋊C4—42no—
1403C22⋊C4—44no—
1404C22⋊C4—42no—
1405C22⋊C4C23×C4116yes—
1406C22⋊C4C23×C418yes—
1407C22⋊C4C23×C418yes—
1408C22⋊C4C23×C418yes—
1409C22⋊C4C23×C418yes—
1410C22⋊C4C23×C418yes—
1411C22⋊C4C23×C4116yes—
1412C22⋊C4C23×C4116yes—
1413C22⋊C4C23×C4116yes—
1414C22⋊C4C23×C418yes—
1415C22⋊C4C23×C418yes—
1416C22⋊C4C23×C4116yes—
1417C22⋊C4C23×C418yes—
1418C22⋊C4C23×C4116yes—
1419C42—24no—
1420C42—24no—
1421C42—24no—
1422C42—22no—
1423C42—24no—
1424C42—22no—
1425C42—22no—
1426C42—24no—
1427C42—24no—
1428C42—22no—
1429C42—24no—
1430C42—22no—
1431C42—22no—
1432C42—22no—
1433C42—42no—
1434C42—42no—
1435C42—42no—
1436C42—42no—
1437C42—41no—
1438C42—42no—
1439C42—41no—
1440C42—44no—
1441C42—44no—
1442C42—44no—
1443C42—44no—
1444C42—44no—
1445C42—44no—
1446C42—44no—
1447C42—44no—
1448C42—44no—
1449C42—44no—
1450C42—44no—
1451C42—42no—
1452C42—44no—
1453C42—44no—
1454C42—44no—
1455C42—41no—
1456C42—42no—
1457C42—44no—
1458C42—41no—
1459C42C23×C414yes—
1460C42C23×C418yes—
1461C42C23×C414yes—
1462C42C23×C418yes—
1463C42C23×C414yes—
1464C42C23×C418yes—
1465C42C23×C414yes—
1466C42C23×C4116yes—
1467C42C23×C4116yes—
1468C42C23×C4116yes—
1469C42C23×C4116yes—
1470C42C23×C418yes—
1471C422−1+414yes—
1472C23—21no—
1473C23—22no—
1474C23—22no—
1475C23—22no—
1476C23—21no—
1477C23—22no—
1478C23—22no—
1479C23—22no—
1480C23—21no—
1481C23—22no—
1482C23—22no—
1483C23—21no—
1484C23—22no—
1485C23—22no—
1486C23—21no—
1487C23—21no—
1488C23—22no—
1489C23—22no—
1490C23C24×C414yes—
1491C23C24×C412yes—
1492C23C24×C414yes—
1493C23C2611yescharacteristic
1494Q8—28no—
1495Q8—216no—
1496Q8—28no—
1497Q8—416no—
1498Q8—416no—
1499Q8—48no—
1500D4—28no—
1501D4—28no—
1502D4—416no—
1503D4—48no—
1504D4—48no—
1505C2×C4—22no—
1506C2×C4—22no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—22no—
1511C2×C4—22no—
1512C2×C4—22no—
1513C2×C4—22no—
1514C2×C4—24no—
1515C2×C4—24no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—22no—
1520C2×C4—22no—
1521C2×C4—21no—
1522C2×C4—22no—
1523C2×C4—24no—
1524C2×C4—22no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—22no—
1530C2×C4—24no—
1531C2×C4—21no—
1532C2×C4—22no—
1533C2×C4—216no—
1534C2×C4—28no—
1535C2×C4—216no—
1536C2×C4—28no—
1537C2×C4—22no—
1538C2×C4—22no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—22no—
1542C2×C4—22no—
1543C2×C4—21no—
1544C2×C4—22no—
1545C2×C4—22no—
1546C2×C4—21no—
1547C2×C4—22no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—22no—
1552C2×C4—22no—
1553C2×C4—21no—
1554C2×C4—22no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—22no—
1560C2×C4—22no—
1561C2×C4—22no—
1562C2×C4—22no—
1563C2×C4—22no—
1564C2×C4—24no—
1565C2×C4—24no—
1566C2×C4—24no—
1567C2×C4—24no—
1568C2×C4—22no—
1569C2×C4—22no—
1570C2×C4—21no—
1571C2×C4—24no—
1572C2×C4—21no—
1573C2×C4—22no—
1574C2×C4—22no—
1575C2×C4—24no—
1576C2×C4—22no—
1577C2×C4—21no—
1578C2×C4—22no—
1579C2×C4—22no—
1580C2×C4—21no—
1581C2×C4—22no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—22no—
1585C2×C4—44no—
1586C2×C4—48no—
1587C2×C4—416no—
1588C2×C4—48no—
1589C2×C4—84no—
1590C2×C4—84no—
1591C2×C4—84no—
1592C2×C4—84no—
1593C2×C4—84no—
1594C2×C4—84no—
1595C2×C4—164no—
1596C2×C4—164no—
1597C2×C4C24×C414yes—
1598C2×C4C24×C412yes—
1599C2×C4C24×C412yes—
1600C2×C4C24×C412yes—
1601C2×C4C24×C414yes—
1602C2×C4C24×C414yes—
1603C2×C4C24×C414yes—
1604C2×C4C24×C418yes—
1605C2×C4C24×C414yes—
1606C2×C4C24×C418yes—
1607C2×C4C24×C414yes—
1608C2×C4C24×C412yes—
1609C2×C4C24×C412yes—
1610C2×C4C24×C412yes—
1611C2×C4C2×2−1+412yes—
1612C2×C4C2×2−1+412yes—
1613C2×C4C2×2−1+412yes—
1614C2×C4#58512yes—
1615C2×C4#58512yes—
1616C2×C4#58512yes—
1617C22—24no—
1618C22—22no—
1619C22—24no—
1620C22—22no—
1621C22—24no—
1622C22—24no—
1623C22—24no—
1624C22—22no—
1625C22—24no—
1626C22—42no—
1627C22—42no—
1628C22—41no—
1629C22—42no—
1630C22—42no—
1631C22—41no—
1632C22—42no—
1633C22—41no—
1634C22—42no—
1635C22—42no—
1636C22—41no—
1637C22—42no—
1638C22C25×C411yescharacteristic
1639C22C22×2−1+411yescharacteristic
1640C22C2×#58511yescharacteristic
1641C22C2×#58511yescharacteristic
1642C22C2×#58511yescharacteristic
1643C22H(7,𝔽2)11yescharacteristic
1644C222−1+611yescharacteristic
1645C4—22no—
1646C4—24no—
1647C4—24no—
1648C4—28no—
1649C4—24no—
1650C4—22no—
1651C4—24no—
1652C4—22no—
1653C4—24no—
1654C4—22no—
1655C4—28no—
1656C4—24no—
1657C4—22no—
1658C4—22no—
1659C4—41no—
1660C4—42no—
1661C4—42no—
1662C4—42no—
1663C4—42no—
1664C4—42no—
1665C4—42no—
1666C4—41no—
1667C4—41no—
1668C4—41no—
1669C4—42no—
1670C4—41no—
1671C4—41no—
1672C4—42no—
1673C4—44no—
1674C4—44no—
1675C4#342814yes—
1676C4C4×2−1+414yes—
1677C2—44no—
1678C2—42no—
1679C2—44no—
1680C2C2×#342811yescharacteristic
1681C2C2×C4×2−1+411yescharacteristic
1682C2#6265411yescharacteristic
1683C2#6292911yescharacteristic
1684C2#6293611yescharacteristic
1685C2#6295911yescharacteristic
1686C2#6296611yescharacteristic
subgroupG/H
center, Frattini, socle, cosocleC23C26
commutatorC22C25×C4
prime radicalC2×#3518C2
LCSG ▷ C22 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
2. #34505C2semidirect
3. #34499C2semidirect
4. #34496C2semidirect
5. #34491C2semidirect
6. #34487C2semidirect
7. #34472C2semidirect
8. #34467C2semidirect
9. #34463C2semidirect
10. #34453C2semidirect
11. #34447C2semidirect
12. #34429C2semidirect
13. #34419C2semidirect
14. #34394C2semidirect
15. #34394C2semidirect
16. #34392C2semidirect
17. #34384C2semidirect
18. #34335C2semidirect
19. #34334C2semidirect
20. #34324C2semidirect
21. #34322C2semidirect
22. #34321C2semidirect
23. #34307C2semidirect
24. #34307C2semidirect
25. #34306C2semidirect
26. #34262C2semidirect
27. #34254C2semidirect
28. #34220C2semidirect
29. #34214C2semidirect
30. #34188C2semidirect
31. C4×#556C2semidirect
32. C4×#555C2semidirect
33. #34123C2semidirect
34. #34084C2semidirect
35. #34074C2semidirect
36. #3518C4semidirect
302. Q82C2×C4semidirect
303. #556C2×C4semidirect
304. #556C2×C4semidirect
305. #556C2×C4semidirect
306. #556C2×C4semidirect
307. #555C2×C4semidirect
308. #555C2×C4semidirect
309. D4×Q8C2×C4semidirect
310. #548C2×C4semidirect
311. #542C2×C4semidirect
312. #542C2×C4semidirect
313. #533C2×C4semidirect
314. #533C2×C4semidirect
321. #529C2×C4semidirect
322. #529C2×C4semidirect
350. #519C2×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×#35182
#345052
#344992
#344962
#344912
#344872
#344722
#344672
#344632
#344532
#344472
#344292
#344192
#343942
#343922
#343842
#343352
#343342
#343242
#343222
#343212
#343072
#343062
#342622
#342542
#342202
#342142
#341882
C4×#5562
C4×#5552
#341232
#340842
#340742