Finite Group Databasebeta

← #7626955

Subgroups — #7626955

Order 512.

7196 conjugacy classes of subgroups.

The subgroup lattice has 1815 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3506C211yesmaximal, characteristic
2#34510C214yesmaximal, complemented
3#34500C214yesmaximal, complemented
4#34485C211yesmaximal, characteristic, complemented
5#34480C211yesmaximal, characteristic, complemented
6#34477C212yesmaximal, complemented
7#34466C212yesmaximal, complemented
8#34463C212yesmaximal, complemented
9#34461C212yesmaximal, complemented
10#34454C214yesmaximal, complemented
11#34451C214yesmaximal, complemented
12#34415C212yesmaximal, complemented
13#34411C212yesmaximal, complemented
14#34404C212yesmaximal, complemented
15#34394C211yesmaximal, characteristic, complemented
16#34391C212yesmaximal, complemented
17#34368C211yesmaximal, characteristic, complemented
18#34321C211yesmaximal, characteristic, complemented
19#34321C211yesmaximal, characteristic, complemented
20#34316C211yesmaximal, characteristic, complemented
21#34308C211yesmaximal, characteristic, complemented
22#34307C212yesmaximal, complemented
23#34305C212yesmaximal, complemented
24#34301C212yesmaximal, complemented
25#34295C212yesmaximal, complemented
26#34253C212yesmaximal, complemented
27#34252C212yesmaximal, complemented
28#34225C211yesmaximal, characteristic, complemented
29#34202C212yesmaximal, complemented
30#34194C211yesmaximal, characteristic, complemented
31C4×#555C211yesmaximal, characteristic, complemented
32C4×#547C211yesmaximal, characteristic, complemented
33D4×#117C211yesmaximal, characteristic, complemented
34#34086C211yesmaximal, characteristic, complemented
35#34065C212yesmaximal, complemented
36#3506C4132yescomplemented
37C2×#559C2214yes—
38C2×#556C2212yes—
39C2×#555C2211yescharacteristic
40C2×#555C2211yescharacteristic
41C2×#553C2212yes—
42C2×#553C2212yes—
43C2×#550C2212yes—
44C2×#547C2211yescharacteristic
45C2×#547C2211yescharacteristic
46C2×#538C2214yes—
47C2×#535C2212yes—
48C2×#533C2211yescharacteristic
49C2×#532C2211yescharacteristic
50C2×#525C2212yes—
51C2×#525C2212yes—
52C2×#520C2212yes—
53C2×#520C2212yescomplemented
54C2×C4×#41C2212yescomplemented
55C22×C4×D4C2211yescharacteristic
56C22×#117C2212yes—
57#2383C2214yescomplemented
58#2380C2214yes—
59#2379C2214yes—
60#2379C2214yescomplemented
61#2379C2214yescomplemented
62#2378C2214yes—
63#2377C2214yescomplemented
64#2376C2214yescomplemented
65#2376C2214yescomplemented
66#2376C2214yescomplemented
67#2375C2214yes—
68#2375C2214yes—
69#2374C2214yescomplemented
70#2373C2214yescomplemented
71#2373C2214yescomplemented
72#2373C2214yescomplemented
73#2372C2214yes—
74#2372C2214yescomplemented
75#2370C2212yescomplemented
76#2370C2212yescomplemented
77#2369C2212yescomplemented
78#2369C2211yescharacteristic, complemented
79#2369C2211yescharacteristic, complemented
80#2367C2214yescomplemented
81#2367C2214yescomplemented
82#2366C2214yes—
83#2366C2212yescomplemented
84#2365C2211yescharacteristic, complemented
85#2365C2211yescharacteristic, complemented
86#2364C2214yescomplemented
87#2363C2212yes—
88#2363C2212yes—
89#2363C2212yes—
90#2363C2212yes—
91#2363C2212yescomplemented
92#2363C2212yescomplemented
93#2363C2214yescomplemented
94#2362C2212yes—
95#2362C2212yes—
96#2362C2212yescomplemented
97#2362C2212yescomplemented
98#2361C2212yes—
99#2361C2212yes—
100#2361C2212yes—
101#2361C2212yes—
102#2361C2212yescomplemented
103#2361C2212yescomplemented
104#2361C2214yescomplemented
105#2360C2212yescomplemented
106#2360C2212yescomplemented
107#2359C2214yescomplemented
108#2359C2214yescomplemented
109#2359C2214yescomplemented
110#2359C2214yescomplemented
111#2358C2214yes—
112#2358C2214yes—
113#2357C2214yes—
114#2356C2212yescomplemented
115#2356C2214yescomplemented
116#2356C2212yescomplemented
117#2355C2214yescomplemented
118#2354C2211yescharacteristic
119#2354C2211yescharacteristic
120#2354C2211yescharacteristic
121#2354C2211yescharacteristic
122#2354C2214yes—
123#2354C2211yescharacteristic, complemented
124#2354C2211yescharacteristic, complemented
125#2354C2212yescomplemented
126#2353C2214yes—
127#2353C2214yescomplemented
128#2353C2214yescomplemented
129#2352C2212yes—
130#2352C2212yes—
131#2352C2212yes—
132#2352C2212yes—
133#2352C2214yes—
134#2352C2214yescomplemented
135#2352C2214yescomplemented
136#2351C2212yescomplemented
137#2351C2212yescomplemented
138#2349C2214yescomplemented
139D4×C4⋊C4C2211yescharacteristic
140D4×C4⋊C4C2211yescharacteristic
141D4×C4⋊C4C2211yescharacteristic
142D4×C4⋊C4C2211yescharacteristic
143D4×C4⋊C4C2212yescomplemented
144D4×C4⋊C4C2211yescharacteristic, complemented
145D4×C4⋊C4C2211yescharacteristic, complemented
146D4×C4⋊C4C2214yescomplemented
147#2347C2212yes—
148#2347C2212yes—
149#2347C2212yescomplemented
150#2347C2212yescomplemented
151#2347C2212yescomplemented
152#2347C2212yescomplemented
153#2346C2212yes—
154#2346C2212yes—
155#2346C2212yescomplemented
156#2346C2212yescomplemented
157#2346C2212yescomplemented
158#2346C2212yescomplemented
159#2345C2212yes—
160#2345C2212yescomplemented
161#2345C2212yescomplemented
162#2344C2211yescharacteristic
163#2344C2211yescharacteristic
164#2344C2212yescomplemented
165#2344C2212yescomplemented
166#2342C2212yes—
167#2342C2212yes—
168#2342C2214yes—
169#2341C2212yescomplemented
170#2341C2212yescomplemented
171#2339C2212yescomplemented
172#2339C2212yescomplemented
173D4×C22⋊C4C2211yescharacteristic
174D4×C22⋊C4C2211yescharacteristic
175D4×C22⋊C4C2212yes—
176#2337C2214yes—
177#2337C2214yes—
178#2337C2214yescomplemented
179#2337C2214yescomplemented
180#2337C2212yescomplemented
181#2337C2212yescomplemented
182#2335C2214yescomplemented
183#2335C2214yescomplemented
184#2335C2214yescomplemented
185#2335C2214yescomplemented
186#2334C2214yescomplemented
187#2334C2214yescomplemented
188#2334C2214yescomplemented
189#2333C2212yes—
190#2333C2212yes—
191#2333C2214yescomplemented
192#2331C2211yescharacteristic, complemented
193#2331C2211yescharacteristic, complemented
194#2330C2212yescomplemented
195#2330C2212yescomplemented
196#2328C2214yes—
197#2328C2214yes—
198#2328C2211yescharacteristic, complemented
199#2328C2211yescharacteristic, complemented
200#2326C2214yescomplemented
201#2325C2214yescomplemented
202#2324C2212yes—
203#2324C2212yes—
204#2324C2211yescharacteristic
205#2324C2212yes—
206#2324C2212yes—
207#2324C2211yescharacteristic
208#2324C2211yescharacteristic
209#2324C2211yescharacteristic
210#2324C2212yes—
211#2324C2214yes—
212#2324C2212yes—
213#2324C2212yescomplemented
214#2324C2212yescomplemented
215#2324C2214yescomplemented
216#2323C2212yes—
217#2323C2212yes—
218#2323C2212yes—
219#2323C2212yes—
220#2323C2212yescomplemented
221#2323C2212yescomplemented
222#2322C2214yescomplemented
223#2322C2214yescomplemented
224#2322C2214yescomplemented
225#2321C2214yes—
226#2321C2214yes—
227#2321C2214yes—
228#2321C2214yes—
229#2320C2214yescomplemented
230#2320C2212yescomplemented
231#2320C2214yescomplemented
232#2319C2214yes—
233#2319C2212yes—
234#2319C2214yescomplemented
235#2318C2214yes—
236#2318C2214yes—
237#2318C2214yescomplemented
238#2318C2214yescomplemented
239#2317C2212yescomplemented
240#2317C2212yescomplemented
241#2316C2212yescomplemented
242#2311C2212yes—
243#2311C2212yes—
244#2311C2212yescomplemented
245C4×C4⋊Q8C2211yescharacteristic, complemented
246C4×C4⋊Q8C2211yescharacteristic, complemented
247C4×C4⋊Q8C2211yescharacteristic, complemented
248C4×C4⋊Q8C2211yescharacteristic, complemented
249C4×#126C2214yescomplemented
250C4×#124C2214yescomplemented
251C4×C22⋊Q8C2212yescomplemented
252C4×C22⋊Q8C2212yescomplemented
253C4×#123C2214yescomplemented
254C4×#121C2212yes—
255C4×#121C2212yes—
256C4×#121C2212yes—
257C4×#121C2212yes—
258C4×#121C2214yescomplemented
259C4×#121C2212yescomplemented
260C4×#121C2212yescomplemented
261#2297C2212yes—
262#2297C2212yes—
263#2297C2212yescomplemented
264#2296C2212yescomplemented
265#2296C2212yescomplemented
266#2295C2214yescomplemented
267#2293C2211yescharacteristic
268#2293C2214yes—
269#2293C2211yescharacteristic
270#2293C2211yescharacteristic, complemented
271#2293C2214yescomplemented
272#2293C2211yescharacteristic, complemented
273C2×#389C2212yescomplemented
274#2290C2212yes—
275#2290C2214yes—
276#2290C2212yes—
277#2290C2214yescomplemented
278#2290C2212yescomplemented
279#2290C2212yescomplemented
280#2290C2214yescomplemented
281#2285C2211yescharacteristic
282#2285C2211yescharacteristic
283#2283C2211yescharacteristic
284#2280C2212yes—
285#2280C2212yes—
286C2×#380C2212yes—
287#2276C2212yescomplemented
288#2275C2212yes—
289#2274C2212yescomplemented
290#2274C2212yescomplemented
291#2274C2212yescomplemented
292C42×D4C2211yescharacteristic
293C42×D4C2211yescharacteristic
294C42×D4C2211yescharacteristic, complemented
295C42×D4C2211yescharacteristic, complemented
296C4×#117C2211yescharacteristic
297C4×#117C2212yescomplemented
298C4×#117C2212yescomplemented
299C2×C4×C4⋊C4C2212yescomplemented
300C22×#41C2312yes—
301C22×#41C2312yes—
302C22×#41C2312yes—
303C23×D4C2311yescharacteristic
304C24×C4C2312yes—
305#559C2×C4164yescomplemented
306#556C2×C4132yescomplemented
307#555C2×C4116yescomplemented
308#555C2×C4116yescomplemented
309#553C2×C4132yescomplemented
310#553C2×C4132yescomplemented
311#550C2×C4132yescomplemented
312#547C2×C4116yescomplemented
313#547C2×C4116yescomplemented
314#538C2×C4164yescomplemented
315#535C2×C4132yescomplemented
316#533C2×C4116yescomplemented
317#532C2×C4116yescomplemented
318C2×C4⋊Q8C2311yescharacteristic
319C2×C4⋊Q8C2311yescharacteristic
320C2×C4⋊Q8C2311yescharacteristic
321C2×#127C2314yes—
322C2×#127C2311yescharacteristic
323C2×#126C2314yes—
324C2×#126C2314yes—
325C2×#125C2312yes—
326C2×#124C2314yes—
327C2×#124C2314yes—
328C2×#124C2312yes—
329C2×#124C2314yes—
330#525C2×C4132yescomplemented
331#525C2×C4132yescomplemented
332C2×#123C2314yes—
333C2×#123C2314yes—
334C2×#123C2314yes—
335C2×#123C2314yes—
336C2×C22⋊Q8C2312yes—
337C2×C22⋊Q8C2312yes—
338C2×C22⋊Q8C2312yes—
339C2×C22⋊Q8C2312yes—
340C2×#121C2311yescharacteristic
341C2×#121C2311yescharacteristic
342C2×#121C2312yes—
343C2×#121C2312yes—
344C2×#121C2312yes—
345C2×#121C2312yes—
346C2×#121C2312yes—
347C2×#121C2312yes—
348C2×#121C2314yes—
349C2×#121C2314yes—
350C2×#121C2312yes—
351C2×#120C2314yes—
352C2×#120C2314yes—
353#520—48no—
354#520C2×C4132yescomplemented
355C4×#41—48no—
356C2×C4×Q8C2312yes—
357C2×C4×Q8C2312yes—
358C2×C4×Q8C2312yes—
359C2×C4×Q8C2312yes—
360C2×C4×Q8C2312yes—
361C2×C4×Q8C2312yes—
362C2×C4×Q8C2312yes—
363C2×C4×Q8C2312yes—
364C2×C4×Q8C2314yes—
365C2×C4×D4C2×C4116yescomplemented
366C2×C4×D4C2311yescharacteristic
367C2×C4×D4C2311yescharacteristic
368C2×C4×D4C2314yes—
369C2×C4×D4C2314yes—
370C2×C4×D4C2314yes—
371C2×C4×D4C2311yescharacteristic
372C2×C4×D4C2311yescharacteristic
373C2×C4×D4C2312yes—
374C2×C4×D4C2311yescharacteristic
375C2×C4×D4C2311yescharacteristic
376C2×C4×D4C2312yes—
377C2×C4×D4C2312yes—
378C2×C4×D4C2312yes—
379C2×C4×D4C2314yes—
380C2×C4×D4C2311yescharacteristic
381C2×C4×D4C2311yescharacteristic
382C2×C4×D4C2314yes—
383C2×C4×D4C2314yes—
384C2×C4×D4C2314yes—
385C2×C4×D4C2314yes—
386C2×C4×D4C2314yes—
387C2×C4×D4C2312yes—
388C2×C4×D4C2314yes—
389C2×C4×D4C2314yes—
390C2×C4×D4C2314yes—
391C2×C4×D4C2311yescharacteristic
392C2×C4×D4C2311yescharacteristic
393C2×C4×D4C2311yescharacteristic
394C2×C4×D4C2311yescharacteristic
395C2×C4×D4C2312yes—
396C2×C4×D4C2314yes—
397C2×C4×D4C2312yes—
398C2×C4×D4C2314yes—
399C2×C4×D4C2311yescharacteristic
400C2×C4×D4C2311yescharacteristic
401C2×#117—48no—
402C2×#117C2311yescharacteristic
403C2×#117C2312yes—
404C2×#117C2312yes—
405C2×#117C2312yes—
406C2×#117C2312yes—
407C2×#117C2312yes—
408C2×#117C2312yes—
409C2×#117C2312yes—
410C2×#117C2311yescharacteristic
411C2×#117C2314yes—
412C2×#117C2312yes—
413C2×#117C2312yes—
414C2×#117C2314yes—
415C2×#117C2312yes—
416C2×#117C2312yes—
417C2×#117C2312yes—
418C2×#117C2312yes—
419C2×#117C2312yes—
420C2×#117C2312yes—
421C2×#117C2312yes—
422C2×#117C2312yes—
423C2×#117C2312yes—
424C2×#117C2312yes—
425C22×C4⋊C4C2312yes—
426C22×C4⋊C4C2312yes—
427C22×C4⋊C4C2312yes—
428C22×C4⋊C4C2312yes—
429C22×C4⋊C4C2312yes—
430C22×C4⋊C4C2312yes—
431C22×C4⋊C4C2314yes—
432C22×C4⋊C4C2312yes—
433C22×C4⋊C4C2311yescharacteristic
434C22×C4⋊C4C2312yes—
435C22×C22⋊C4C2312yes—
436C22×C22⋊C4C2312yes—
437C22×C22⋊C4C2314yes—
438C22×C22⋊C4C2312yes—
439C22×C42C2312yes—
440C22×C42C2312yes—
441C22×C42C2314yes—
442C22×C42C2312yes—
443C22×C42C2312yes—
444C22×C42C2311yescharacteristic
445#391C2312yes—
446#391C2312yes—
447#391C2312yes—
448#391C2312yes—
449#391C2314yes—
450#391C2314yes—
451#391C2312yes—
452#391C2312yes—
453#391C2314yes—
454#391C2314yes—
455#391C2312yes—
456#391C2312yes—
457#391C2312yes—
458#391C2312yes—
459#390C2314yes—
460#390C2314yes—
461#390C2311yescharacteristic
462#390C2312yes—
463#390C2312yes—
464#390C2312yes—
465#390C2312yes—
466#390C2314yes—
467#390C2314yes—
468#390C2312yes—
469#390C2314yes—
470#390C2314yes—
471#390C2314yes—
472#390C2314yes—
473#390C2311yescharacteristic
474#390C2311yescharacteristic
475#390C2311yescharacteristic
476#390C2314yes—
477#390C2312yes—
478#390C2311yescharacteristic
479#390C2311yescharacteristic
480#390C2312yes—
481#390C2312yes—
482#390C2314yes—
483#390C2314yes—
484#390C2311yescharacteristic
485#390C2311yescharacteristic
486#389C2312yes—
487#389C2312yes—
488#389C2312yes—
489#389C2312yes—
490#389C2312yes—
491#389C2312yes—
492#389C2312yes—
493#389C2312yes—
494#389C2311yescharacteristic
495#389C2312yes—
496#389C2314yes—
497#389C2314yes—
498#389C2312yes—
499#389C2311yescharacteristic
500#389C2311yescharacteristic
501#389C2312yes—
502#389C2312yes—
503#389C2312yes—
504#389C2312yes—
505#389C2314yes—
506#389C2314yes—
507#389C2314yes—
508#389C2314yes—
509#389C2314yes—
510#389C2314yes—
511#389C2312yes—
512#389C2311yescharacteristic
513#389C2312yes—
514#389C2312yes—
515#389C2312yes—
516#389C2311yescharacteristic
517#389C2311yescharacteristic
518#389C2314yes—
519#389C2314yes—
520#389C2314yes—
521#389C2311yescharacteristic
522#389C2311yescharacteristic
523#388C2312yes—
524#388C2314yes—
525#388C2314yes—
526#388C2314yes—
527#388C2314yes—
528#388C2314yes—
529#388C2314yes—
530#388C2314yes—
531#388C2314yes—
532#388C2314yes—
533#388C2314yes—
534#388C2314yes—
535#388C2314yes—
536#388C2314yes—
537#388C2314yes—
538#388C2314yes—
539#388C2314yes—
540#388C2312yes—
541#388C2314yes—
542#388C2314yes—
543#388C2314yes—
544#388C2314yes—
545#388C2314yes—
546#388C2314yes—
547#388C2314yes—
548#388C2314yes—
549#388C2314yes—
550#388C2314yes—
551#388C2314yes—
552#388C2314yes—
553#388C2314yes—
554#388C2314yes—
555#388C2312yes—
556#388C2312yes—
557#388C2314yes—
558#388C2314yes—
559#388C2314yes—
560#388C2314yes—
561#388C2314yes—
562#388C2312yes—
563#388C2312yes—
564#388C2312yes—
565#388C2312yes—
566#388C2314yes—
567#388C2312yes—
568#388C2312yes—
569#388C2312yes—
570#388C2312yes—
571#388C2312yes—
572#388C2314yes—
573#388C2312yes—
574#388C2314yes—
575#388C2314yes—
576#388C2312yes—
577#388C2312yes—
578#388C2314yes—
579#387C2312yes—
580#387C2314yes—
581#387C2314yes—
582#387C2314yes—
583#387C2314yes—
584#387C2314yes—
585#387C2314yes—
586#387C2312yes—
587#387C2314yes—
588#387C2314yes—
589#387C2312yes—
590#387C2314yes—
591#387C2314yes—
592#387C2314yes—
593#387C2314yes—
594#387C2314yes—
595#387C2314yes—
596#387C2314yes—
597#387C2314yes—
598#387C2314yes—
599#387C2314yes—
600#387C2314yes—
601#387C2312yes—
602#387C2312yes—
603#387C2312yes—
604#387C2314yes—
605#387C2312yes—
606#387C2312yes—
607#386C2314yes—
608#386C2314yes—
609#386C2314yes—
610#386C2314yes—
611#386C2314yes—
612#386C2314yes—
613#386C2312yes—
614#386C2314yes—
615#386C2314yes—
616#386C2312yes—
617#386C2314yes—
618#386C2314yes—
619#386C2312yes—
620#386C2314yes—
621#386C2314yes—
622#386C2314yes—
623#386C2314yes—
624#386C2314yes—
625#386C2314yes—
626#386C2314yes—
627#386C2314yes—
628#386C2314yes—
629#386C2312yes—
630#386C2312yes—
631#386C2314yes—
632#386C2312yes—
633#386C2314yes—
634#386C2312yes—
635#386C2312yes—
636#386C2312yes—
637#386C2312yes—
638#386C2312yes—
639#386C2312yes—
640#386C2312yes—
641#386C2312yes—
642#386C2314yes—
643#386C2312yes—
644#386C2312yes—
645#385C2314yes—
646#385C2314yes—
647#385C2314yes—
648#385C2314yes—
649#385C2314yes—
650#385C2314yes—
651#385C2314yes—
652#385C2312yes—
653#385C2314yes—
654#385C2314yes—
655#385C2314yes—
656#385C2314yes—
657#385C2314yes—
658#385C2312yes—
659#385C2314yes—
660#385C2314yes—
661#385C2314yes—
662#385C2314yes—
663#385C2314yes—
664#385C2312yes—
665#385C2312yes—
666#385C2312yes—
667#385C2312yes—
668#385C2312yes—
669#385C2312yes—
670#385C2314yes—
671#384C2311yescharacteristic
672#384C2311yescharacteristic
673#384C2314yes—
674#384C2311yescharacteristic
675#384C2311yescharacteristic
676#383C2314yes—
677#383C2312yes—
678#383C2314yes—
679#383C2314yes—
680#383C2314yes—
681#382C2314yes—
682#382C2314yes—
683#382C2312yes—
684#382C2314yes—
685#382C2314yes—
686#382C2314yes—
687#382C2312yes—
688#382C2311yescharacteristic
689#382C2311yescharacteristic
690#381C2312yes—
691#381C2314yes—
692#381C2314yes—
693#381C2312yes—
694#381C2314yes—
695#381C2312yes—
696#380C2311yescharacteristic
697#380C2311yescharacteristic
698#380C2312yes—
699#380C2312yes—
700#380C2312yes—
701#380C2312yes—
702#380C2312yes—
703#380C2314yes—
704#380C2314yes—
705#380C2314yes—
706#380C2314yes—
707#380C2314yes—
708#380C2312yes—
709#380C2314yes—
710#380C2312yes—
711#380C2311yescharacteristic
712#380C2312yes—
713#380C2311yescharacteristic
714#380C2312yes—
715#380C2312yes—
716#380C2312yes—
717#380C2312yes—
718#380C2312yes—
719#380C2312yes—
720#380C2312yes—
721#379C2312yes—
722#379C2312yes—
723#379C2314yes—
724C4×C4⋊C4C2314yes—
725C4×C4⋊C4C2314yes—
726C4×C4⋊C4C2314yes—
727C4×C4⋊C4C2312yes—
728C4×C4⋊C4C2312yes—
729C4×C4⋊C4C2312yes—
730C4×C4⋊C4C2312yes—
731C4×C4⋊C4C2312yes—
732C4×C4⋊C4C2312yes—
733C4×C4⋊C4C2312yes—
734C4×C4⋊C4C2312yes—
735C4×C4⋊C4C2314yes—
736C4×C4⋊C4C2312yes—
737C4×C4⋊C4C2314yes—
738C4×C4⋊C4C2314yes—
739C4×C4⋊C4C2314yes—
740C4×C4⋊C4C2312yes—
741C4×C4⋊C4C2312yes—
742C4×C4⋊C4C2312yes—
743C4×C4⋊C4C2311yescharacteristic
744C4×C4⋊C4C2312yes—
745C4×C4⋊C4C2312yes—
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2311yescharacteristic
748C4×C4⋊C4C2311yescharacteristic
749C4×C4⋊C4C2311yescharacteristic
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2314yes—
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2314yes—
755C4×C4⋊C4C2314yes—
756C4×C4⋊C4C2314yes—
757C4×C4⋊C4C2314yes—
758C4×C4⋊C4C2311yescharacteristic
759C4×C4⋊C4C2311yescharacteristic
760C4×C4⋊C4C2314yes—
761C4×C4⋊C4C2311yescharacteristic
762C4×C4⋊C4C2311yescharacteristic
763C4×C4⋊C4C2311yescharacteristic
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2314yes—
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2314yes—
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⋊C4C2312yes—
787C4×C22⋊C4C2311yescharacteristic
788C4×C22⋊C4C2311yescharacteristic
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2314yes—
799C4×C22⋊C4C2314yes—
800C4×C22⋊C4C2311yescharacteristic
801C4×C22⋊C4C2311yescharacteristic
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2314yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2312yes—
811C4×C22⋊C4C2312yes—
812C4×C22⋊C4C2312yes—
813C4×C22⋊C4C2312yes—
814C4×C22⋊C4C2314yes—
815C4×C22⋊C4C2314yes—
816C4×C22⋊C4C2314yes—
817#376C2314yes—
818#376C2312yes—
819#376C2314yes—
820#376C2311yescharacteristic
821#376C2314yes—
822#376C2314yes—
823#376C2311yescharacteristic
824#376C2314yes—
825C2×#95C2314yes—
826C2×#95C2314yes—
827C2×#95C2314yes—
828C43C2314yes—
829C43C2311yescharacteristic
830C43C2311yescharacteristic
831C25C2412yes—
832C2×#41—44no—
833C2×#41—44no—
834C2×#41—44no—
835C2×#41—44no—
836C2×#41—44no—
837C2×#41—44no—
838C2×#41C22×C4116yes—
839C2×#41C22×C4116yes—
840C2×#41C22×C4116yes—
841C22×Q8C2412yes—
842C22×Q8C2412yes—
843C22×Q8C2412yes—
844C22×D4—42no—
845C22×D4—42no—
846C22×D4C22×C418yes—
847C22×D4C2411yescharacteristic
848C22×D4C2411yescharacteristic
849C22×D4C2411yescharacteristic
850C22×D4C2411yescharacteristic
851C22×D4C2414yes—
852C22×D4C2414yes—
853C22×D4C2412yes—
854C22×D4C2412yes—
855C22×D4C2412yes—
856C22×D4C2414yes—
857C22×D4C2414yes—
858C22×D4C2412yes—
859C22×D4C2412yes—
860C23×C4—44no—
861C23×C4—44no—
862C23×C4C22×C4116yes—
863C23×C4C2412yes—
864C23×C4C2412yes—
865C23×C4C2412yes—
866C23×C4C2411yescharacteristic
867C23×C4C2411yescharacteristic
868C23×C4C2412yes—
869C23×C4C2412yes—
870C23×C4C2412yes—
871C23×C4C2412yes—
872C23×C4C2412yes—
873C23×C4C2414yes—
874C23×C4C2412yes—
875C23×C4C2414yes—
876C23×C4C2412yes—
877C23×C4C2414yes—
878C23×C4C2414yes—
879C23×C4C2412yes—
880C23×C4C2412yes—
881C23×C4C2411yescharacteristic
882C23×C4C2412yes—
883C23×C4C2414yes—
884C23×C4C2412yes—
885C23×C4C2414yes—
886C23×C4C2412yes—
887C4⋊Q8C22×C418yes—
888C4⋊Q8C22×C418yes—
889C4⋊Q8C22×C418yes—
890#127C22×C418yes—
891#127C22×C4132yes—
892#126C22×C4132yes—
893#126C22×C4132yes—
894#125C22×C4116yes—
895#124C22×C4116yes—
896#124C22×C4132yes—
897#124C22×C4132yes—
898#124C22×C4132yes—
899#123C22×C4132yes—
900#123C22×C4132yes—
901#123C22×C4132yes—
902#123C22×C4132yes—
903C22⋊Q8C22×C4116yes—
904C22⋊Q8C22×C4116yes—
905C22⋊Q8C22×C4116yes—
906C22⋊Q8C22×C4116yes—
907#121C22×C418yes—
908#121C22×C418yes—
909#121C22×C4116yes—
910#121C22×C4116yes—
911#121C22×C4116yes—
912#121C22×C4116yes—
913#121C22×C4116yes—
914#121C22×C4116yes—
915#121C22×C4116yes—
916#121C22×C4132yes—
917#121C22×C4132yes—
918#120C22×C4132yes—
919#120C22×C4132yes—
920C4×Q8—28no—
921C4×Q8—44no—
922C4×Q8—44no—
923C4×Q8—44no—
924C4×Q8—82no—
925C4×Q8—82no—
926C4×Q8C22×C4132yes—
927C4×Q8C22×C4116yes—
928C4×Q8C22×C4116yes—
929C4×D4—24no—
930C4×D4—24no—
931C4×D4—48no—
932C4×D4—42no—
933C4×D4—42no—
934C4×D4—44no—
935C4×D4—44no—
936C4×D4—42no—
937C4×D4—42no—
938C4×D4—42no—
939C4×D4—42no—
940C4×D4—44no—
941C4×D4—44no—
942C4×D4—48no—
943C4×D4—48no—
944C4×D4—48no—
945C4×D4—84no—
946C4×D4—84no—
947C4×D4—84no—
948C4×D4—84no—
949C4×D4—84no—
950C4×D4C22×C418yes—
951C4×D4C22×C418yes—
952C4×D4C22×C4116yes—
953C4×D4C22×C418yes—
954C4×D4C22×C418yes—
955C4×D4C22×C4116yes—
956C4×D4C22×C4132yes—
957C4×D4C22×C4132yes—
958C4×D4C22×C4132yes—
959C4×D4C22×C4132yes—
960C4×D4C22×C4132yes—
961C4×D4C22×C418yes—
962C4×D4C22×C418yes—
963C4×D4C22×C4116yes—
964#117—24no—
965#117—28no—
966#117—44no—
967#117—44no—
968#117—44no—
969#117—44no—
970#117—42no—
971#117—44no—
972#117—44no—
973#117—44no—
974#117—44no—
975#117—48no—
976#117—48no—
977#117—44no—
978#117—44no—
979#117—44no—
980#117—44no—
981#117—82no—
982#117C22×C4116yes—
983#117C22×C4116yes—
984#117C22×C4116yes—
985#117C22×C4116yes—
986#117C22×C4116yes—
987C2×C4⋊C4—44no—
988C2×C4⋊C4—44no—
989C2×C4⋊C4—44no—
990C2×C4⋊C4—44no—
991C2×C4⋊C4—44no—
992C2×C4⋊C4—48no—
993C2×C4⋊C4—44no—
994C2×C4⋊C4C22×C418yes—
995C2×C4⋊C4C22×C4116yes—
996C2×C4⋊C4C22×C4116yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2411yescharacteristic
999C2×C4⋊C4C2411yescharacteristic
1000C2×C4⋊C4C2411yescharacteristic
1001C2×C4⋊C4C2411yescharacteristic
1002C2×C4⋊C4C2411yescharacteristic
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2411yescharacteristic
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2414yes—
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2411yescharacteristic
1010C2×C4⋊C4C2411yescharacteristic
1011C2×C4⋊C4C2411yescharacteristic
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2411yescharacteristic
1014C2×C4⋊C4C2414yes—
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2412yes—
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2414yes—
1020C2×C4⋊C4C2414yes—
1021C2×C4⋊C4C2414yes—
1022C2×C4⋊C4C2414yes—
1023C2×C4⋊C4C2414yes—
1024C2×C4⋊C4C2412yes—
1025C2×C4⋊C4C2412yes—
1026C2×C4⋊C4C2411yescharacteristic
1027C2×C4⋊C4C2411yescharacteristic
1028C2×C4⋊C4C2412yes—
1029C2×C4⋊C4C2412yes—
1030C2×C4⋊C4C2412yes—
1031C2×C4⋊C4C2412yes—
1032C2×C4⋊C4C2412yes—
1033C2×C4⋊C4C2414yes—
1034C2×C4⋊C4C2414yes—
1035C2×C4⋊C4C2414yes—
1036C2×C4⋊C4C2414yes—
1037C2×C4⋊C4C2412yes—
1038C2×C4⋊C4C2414yes—
1039C2×C4⋊C4C2411yescharacteristic
1040C2×C4⋊C4C2411yescharacteristic
1041C2×C4⋊C4C2412yes—
1042C2×C4⋊C4C2412yes—
1043C2×C4⋊C4C2414yes—
1044C2×C4⋊C4C2414yes—
1045C2×C4⋊C4C2412yes—
1046C2×C4⋊C4C2411yescharacteristic
1047C2×C4⋊C4C2411yescharacteristic
1048C2×C4⋊C4C2412yes—
1049C2×C4⋊C4C2414yes—
1050C2×C4⋊C4C2412yes—
1051C2×C4⋊C4C2414yes—
1052C2×C4⋊C4C2412yes—
1053C2×C22⋊C4—44no—
1054C2×C22⋊C4—44no—
1055C2×C22⋊C4—84no—
1056C2×C22⋊C4C22×C4116yes—
1057C2×C22⋊C4C2411yescharacteristic
1058C2×C22⋊C4C2411yescharacteristic
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2412yes—
1061C2×C22⋊C4C2412yes—
1062C2×C22⋊C4C2412yes—
1063C2×C22⋊C4C2412yes—
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2414yes—
1069C2×C22⋊C4C2414yes—
1070C2×C22⋊C4C2414yes—
1071C2×C22⋊C4C2414yes—
1072C2×C22⋊C4C2414yes—
1073C2×C22⋊C4C2414yes—
1074C2×C22⋊C4C2411yescharacteristic
1075C2×C22⋊C4C2411yescharacteristic
1076C2×C22⋊C4C2414yes—
1077C2×C22⋊C4C2412yes—
1078C2×C22⋊C4C2414yes—
1079C2×C22⋊C4C2412yes—
1080C2×C22⋊C4C2412yes—
1081C2×C22⋊C4C2412yes—
1082C2×C22⋊C4C2414yes—
1083C2×C22⋊C4C2412yes—
1084C2×C22⋊C4C2412yes—
1085C2×C22⋊C4C2412yes—
1086C2×C22⋊C4C2414yes—
1087C2×C22⋊C4C2414yes—
1088C2×C22⋊C4C2412yes—
1089C2×C22⋊C4C2412yes—
1090C2×C22⋊C4C2414yes—
1091C2×C22⋊C4C2412yes—
1092C2×C22⋊C4C2412yes—
1093C2×C22⋊C4C2414yes—
1094C2×C22⋊C4C2412yes—
1095C2×C22⋊C4C2412yes—
1096C2×C22⋊C4C2412yes—
1097C2×C22⋊C4C2412yes—
1098C2×C22⋊C4C2412yes—
1099C2×C22⋊C4C2412yes—
1100C2×C22⋊C4C2412yes—
1101C2×C22⋊C4C2412yes—
1102C2×C22⋊C4C2412yes—
1103C2×C22⋊C4C2412yes—
1104C2×C22⋊C4C2412yes—
1105C2×C22⋊C4C2412yes—
1106C2×C22⋊C4C2414yes—
1107C2×C22⋊C4C2414yes—
1108C2×C22⋊C4C2414yes—
1109C2×C22⋊C4C2414yes—
1110C2×C22⋊C4C2414yes—
1111C2×C22⋊C4C2412yes—
1112C2×C22⋊C4C2412yes—
1113C2×C22⋊C4C2414yes—
1114C2×C22⋊C4C2414yes—
1115C2×C22⋊C4C2412yes—
1116C2×C22⋊C4C2412yes—
1117C2×C42—28no—
1118C2×C42—44no—
1119C2×C42—48no—
1120C2×C42—44no—
1121C2×C42—44no—
1122C2×C42C22×C418yes—
1123C2×C42C2412yes—
1124C2×C42C2411yescharacteristic
1125C2×C42C2412yes—
1126C2×C42C2412yes—
1127C2×C42C2411yescharacteristic
1128C2×C42C2411yescharacteristic
1129C2×C42C2412yes—
1130C2×C42C2414yes—
1131C2×C42C2411yescharacteristic
1132C2×C42C2412yes—
1133C2×C42C2412yes—
1134C2×C42C2411yescharacteristic
1135C2×C42C2411yescharacteristic
1136C2×C42C2411yescharacteristic
1137C2×C42C2412yes—
1138C2×C42C2414yes—
1139C2×C42C2412yes—
1140C2×C42C2414yes—
1141C2×C42C2414yes—
1142C2×C42C2414yes—
1143C2×C42C2414yes—
1144C2×C42C2414yes—
1145C2×C42C2414yes—
1146C2×C42C2414yes—
1147C2×C42C2414yes—
1148C2×C42C2414yes—
1149C2×C42C2411yescharacteristic
1150C2×C42C2411yescharacteristic
1151C2×C42C2414yes—
1152C2×C42C2412yes—
1153C2×C42C2414yes—
1154C2×C42C2411yescharacteristic
1155C2×C42C2411yescharacteristic
1156C2×C42C2412yes—
1157C2×C42C2412yes—
1158C2×C42C2412yes—
1159C2×C42C2414yes—
1160C2×C42C2414yes—
1161C2×C42C2414yes—
1162C2×C42C2411yescharacteristic
1163C2×C42C2411yescharacteristic
1164C2×C42C2411yescharacteristic
1165C2×C42C2411yescharacteristic
1166C2×C42C2411yescharacteristic
1167#95C2412yes—
1168#95C2414yes—
1169#95C2412yes—
1170#95C2412yes—
1171#95C2414yes—
1172#95C2414yes—
1173#95C2414yes—
1174#95C2414yes—
1175#95C2414yes—
1176#95C2414yes—
1177#95C2414yes—
1178#95C2411yescharacteristic
1179#95C2412yes—
1180#95C2412yes—
1181#95C2414yes—
1182#95C2412yes—
1183#95C2412yes—
1184#95C2412yes—
1185#95C2412yes—
1186#95C2412yes—
1187#95C2414yes—
1188#95C2412yes—
1189#95C2412yes—
1190#95C2411yescharacteristic
1191#95C2411yescharacteristic
1192#95C2411yescharacteristic
1193#95C2414yes—
1194#95C2414yes—
1195#95C2411yescharacteristic
1196#95C2414yes—
1197#95C2414yes—
1198#95C2411yescharacteristic
1199#95C2414yes—
1200#95C2411yescharacteristic
1201#95C2411yescharacteristic
1202#95C2414yes—
1203#95C2414yes—
1204#95C2412yes—
1205#95C2412yes—
1206#95C2412yes—
1207#95C2412yes—
1208#95C2412yes—
1209#95C2412yes—
1210#95C2414yes—
1211#95C2412yes—
1212#95C2412yes—
1213#95C2414yes—
1214#95C2412yes—
1215#95C2412yes—
1216#95C2412yes—
1217#95C2412yes—
1218#95C2412yes—
1219#95C2414yes—
1220#95C2414yes—
1221#95C2414yes—
1222#95C2414yes—
1223#95C2412yes—
1224#95C2414yes—
1225#95C2414yes—
1226#95C2414yes—
1227#95C2412yes—
1228#95C2412yes—
1229C24—42no—
1230C24—42no—
1231C24—42no—
1232C24—42no—
1233C24—42no—
1234C24—42no—
1235C24C23×C418yes—
1236C24C2511yescharacteristic
1237C24C2512yes—
1238C24C2512yes—
1239C24C2512yes—
1240C24C2512yes—
1241#41—432no—
1242#41—432no—
1243#41—432no—
1244C2×Q8—24no—
1245C2×Q8—24no—
1246C2×Q8—42no—
1247C2×Q8—42no—
1248C2×Q8—42no—
1249C2×Q8—42no—
1250C2×Q8C23×C418yes—
1251C2×Q8C23×C418yes—
1252C2×Q8C23×C418yes—
1253C2×D4—22no—
1254C2×D4—22no—
1255C2×D4—22no—
1256C2×D4—22no—
1257C2×D4—22no—
1258C2×D4—22no—
1259C2×D4—22no—
1260C2×D4—22no—
1261C2×D4—416no—
1262C2×D4—44no—
1263C2×D4—44no—
1264C2×D4—42no—
1265C2×D4—44no—
1266C2×D4—44no—
1267C2×D4—42no—
1268C2×D4—42no—
1269C2×D4—44no—
1270C2×D4—44no—
1271C2×D4—42no—
1272C2×D4—42no—
1273C2×D4—42no—
1274C2×D4—42no—
1275C2×D4—44no—
1276C2×D4—44no—
1277C2×D4—42no—
1278C2×D4—42no—
1279C2×D4—42no—
1280C2×D4C23×C414yes—
1281C2×D4C23×C414yes—
1282C2×D4C23×C414yes—
1283C2×D4C23×C414yes—
1284C2×D4C23×C418yes—
1285C2×D4C23×C418yes—
1286C2×D4C23×C418yes—
1287C2×D4C23×C418yes—
1288C2×D4C23×C4116yes—
1289C2×D4C23×C4116yes—
1290C2×D4C23×C418yes—
1291C2×D4C23×C4116yes—
1292C2×D4C23×C4116yes—
1293C22×C4—24no—
1294C22×C4—24no—
1295C22×C4—22no—
1296C22×C4—24no—
1297C22×C4—24no—
1298C22×C4—24no—
1299C22×C4—24no—
1300C22×C4—24no—
1301C22×C4—22no—
1302C22×C4—24no—
1303C22×C4—22no—
1304C22×C4—22no—
1305C22×C4—24no—
1306C22×C4—24no—
1307C22×C4—24no—
1308C22×C4—24no—
1309C22×C4—432no—
1310C22×C4—44no—
1311C22×C4—42no—
1312C22×C4—42no—
1313C22×C4—44no—
1314C22×C4—42no—
1315C22×C4—42no—
1316C22×C4—41no—
1317C22×C4—42no—
1318C22×C4—42no—
1319C22×C4—42no—
1320C22×C4—41no—
1321C22×C4—42no—
1322C22×C4—44no—
1323C22×C4—44no—
1324C22×C4—42no—
1325C22×C4—42no—
1326C22×C4—44no—
1327C22×C4—42no—
1328C22×C4—42no—
1329C22×C4—42no—
1330C22×C4—44no—
1331C22×C4—42no—
1332C22×C4—42no—
1333C22×C4—42no—
1334C22×C4—42no—
1335C22×C4—42no—
1336C22×C4—42no—
1337C22×C4—42no—
1338C22×C4—42no—
1339C22×C4—42no—
1340C22×C4—42no—
1341C22×C4—44no—
1342C22×C4—42no—
1343C22×C4—42no—
1344C22×C4—42no—
1345C22×C4—44no—
1346C22×C4—44no—
1347C22×C4—44no—
1348C22×C4—44no—
1349C22×C4—44no—
1350C22×C4—44no—
1351C22×C4—44no—
1352C22×C4—44no—
1353C22×C4—44no—
1354C22×C4C23×C414yes—
1355C22×C4C23×C414yes—
1356C22×C4C23×C418yes—
1357C22×C4C23×C418yes—
1358C22×C4C23×C418yes—
1359C22×C4C23×C418yes—
1360C22×C4C23×C414yes—
1361C22×C4C23×C418yes—
1362C22×C4C23×C4116yes—
1363C22×C4C23×C4116yes—
1364C22×C4C23×C418yes—
1365C22×C4C23×C418yes—
1366C22×C4C2511yescharacteristic
1367C22×C4C2512yes—
1368C22×C4C2512yes—
1369C22×C4C2511yescharacteristic
1370C22×C4C2511yescharacteristic
1371C22×C4C2511yescharacteristic
1372C22×C4C2512yes—
1373C22×C4C2512yes—
1374C22×C4C2512yes—
1375C22×C4C2514yes—
1376C22×C4C2512yes—
1377C22×C4C2512yes—
1378C22×C4C2514yes—
1379C22×C4C2512yes—
1380C22×C4C2511yescharacteristic
1381C22×C4C2511yescharacteristic
1382C22×C4C2511yescharacteristic
1383C22×C4C2512yes—
1384C22×C4C2514yes—
1385C22×C4C2511yescharacteristic
1386C22×C4C2512yes—
1387C22×C4C2512yes—
1388C22×C4C2511yescharacteristic
1389C22×C4C2514yes—
1390C22×C4C2511yescharacteristic
1391C22×C4C2512yes—
1392C22×C4C2511yescharacteristic
1393C22×C4C2511yescharacteristic
1394C22×C4C2511yescharacteristic
1395C22×C4C2511yescharacteristic
1396C4⋊C4—24no—
1397C4⋊C4—22no—
1398C4⋊C4—22no—
1399C4⋊C4—22no—
1400C4⋊C4—24no—
1401C4⋊C4—28no—
1402C4⋊C4—24no—
1403C4⋊C4—22no—
1404C4⋊C4—22no—
1405C4⋊C4—24no—
1406C4⋊C4—22no—
1407C4⋊C4—22no—
1408C4⋊C4—24no—
1409C4⋊C4—22no—
1410C4⋊C4—22no—
1411C4⋊C4—24no—
1412C4⋊C4—22no—
1413C4⋊C4—44no—
1414C4⋊C4—44no—
1415C4⋊C4—44no—
1416C4⋊C4—44no—
1417C4⋊C4—42no—
1418C4⋊C4—42no—
1419C4⋊C4—42no—
1420C4⋊C4—42no—
1421C4⋊C4—44no—
1422C4⋊C4—44no—
1423C4⋊C4—42no—
1424C4⋊C4—42no—
1425C4⋊C4—42no—
1426C4⋊C4—42no—
1427C4⋊C4—42no—
1428C4⋊C4—41no—
1429C4⋊C4—41no—
1430C4⋊C4—44no—
1431C4⋊C4—42no—
1432C4⋊C4—42no—
1433C4⋊C4—42no—
1434C4⋊C4—44no—
1435C4⋊C4—44no—
1436C4⋊C4—44no—
1437C4⋊C4—44no—
1438C4⋊C4C23×C414yes—
1439C4⋊C4C23×C414yes—
1440C4⋊C4C23×C418yes—
1441C4⋊C4C23×C418yes—
1442C4⋊C4C23×C4116yes—
1443C4⋊C4C23×C4116yes—
1444C4⋊C4C23×C418yes—
1445C4⋊C4C23×C414yes—
1446C4⋊C4C23×C414yes—
1447C4⋊C4C23×C418yes—
1448C4⋊C4C23×C4116yes—
1449C4⋊C4C23×C418yes—
1450C4⋊C4C23×C4116yes—
1451C4⋊C4C23×C418yes—
1452C22⋊C4—22no—
1453C22⋊C4—22no—
1454C22⋊C4—24no—
1455C22⋊C4—24no—
1456C22⋊C4—24no—
1457C22⋊C4—24no—
1458C22⋊C4—42no—
1459C22⋊C4—42no—
1460C22⋊C4—42no—
1461C22⋊C4—42no—
1462C22⋊C4—42no—
1463C22⋊C4—44no—
1464C22⋊C4—44no—
1465C22⋊C4—44no—
1466C22⋊C4—42no—
1467C22⋊C4—42no—
1468C22⋊C4—42no—
1469C22⋊C4—42no—
1470C22⋊C4—42no—
1471C22⋊C4—41no—
1472C22⋊C4—42no—
1473C22⋊C4—42no—
1474C22⋊C4—42no—
1475C22⋊C4—42no—
1476C22⋊C4—41no—
1477C22⋊C4—44no—
1478C22⋊C4—44no—
1479C22⋊C4—44no—
1480C22⋊C4—44no—
1481C22⋊C4—44no—
1482C22⋊C4—44no—
1483C22⋊C4—42no—
1484C22⋊C4—42no—
1485C22⋊C4—44no—
1486C22⋊C4—44no—
1487C22⋊C4—42no—
1488C22⋊C4—42no—
1489C22⋊C4—42no—
1490C22⋊C4—42no—
1491C22⋊C4—42no—
1492C22⋊C4—42no—
1493C22⋊C4—44no—
1494C22⋊C4—44no—
1495C22⋊C4—42no—
1496C22⋊C4—42no—
1497C22⋊C4C23×C418yes—
1498C22⋊C4C23×C418yes—
1499C22⋊C4C23×C418yes—
1500C22⋊C4C23×C418yes—
1501C22⋊C4C23×C4116yes—
1502C22⋊C4C23×C4116yes—
1503C22⋊C4C23×C4116yes—
1504C22⋊C4C23×C4116yes—
1505C22⋊C4C23×C4116yes—
1506C22⋊C4C23×C418yes—
1507C22⋊C4C23×C418yes—
1508C22⋊C4C23×C4116yes—
1509C22⋊C4C23×C4116yes—
1510C22⋊C4C23×C418yes—
1511C22⋊C4C23×C418yes—
1512C42—24no—
1513C42—24no—
1514C42—24no—
1515C42—22no—
1516C42—24no—
1517C42—28no—
1518C42—22no—
1519C42—22no—
1520C42—24no—
1521C42—24no—
1522C42—22no—
1523C42—22no—
1524C42—22no—
1525C42—22no—
1526C42—42no—
1527C42—42no—
1528C42—42no—
1529C42—42no—
1530C42—42no—
1531C42—42no—
1532C42—44no—
1533C42—44no—
1534C42—41no—
1535C42—41no—
1536C42—44no—
1537C42—44no—
1538C42—44no—
1539C42—44no—
1540C42—44no—
1541C42—44no—
1542C42—44no—
1543C42—44no—
1544C42—44no—
1545C42—44no—
1546C42—41no—
1547C42—41no—
1548C42C23×C414yes—
1549C42C23×C414yes—
1550C42C23×C414yes—
1551C42C23×C414yes—
1552C42C23×C4116yes—
1553C42C23×C4116yes—
1554C42C23×C4116yes—
1555C42H(5,𝔽2)14yes—
1556C23—21no—
1557C23—22no—
1558C23—22no—
1559C23—22no—
1560C23—22no—
1561C23—22no—
1562C23—22no—
1563C23—22no—
1564C23—21no—
1565C23—22no—
1566C23—22no—
1567C23—22no—
1568C23—22no—
1569C23—22no—
1570C23—22no—
1571C23—22no—
1572C23—22no—
1573C23—22no—
1574C23—21no—
1575C23—21no—
1576C23—21no—
1577C23—22no—
1578C23—22no—
1579C23—22no—
1580C23—22no—
1581C23—21no—
1582C23—22no—
1583C23—22no—
1584C23—22no—
1585C23—22no—
1586C23—48no—
1587C23—48no—
1588C23—48no—
1589C23—84no—
1590C23—84no—
1591C23—84no—
1592C23—84no—
1593C23C24×C414yes—
1594C23C24×C414yes—
1595C23C24×C412yes—
1596C23C24×C414yes—
1597C23C24×C414yes—
1598C23C2611yescharacteristic
1599Q8—216no—
1600Q8—48no—
1601Q8—48no—
1602D4—28no—
1603D4—28no—
1604D4—28no—
1605D4—28no—
1606D4—48no—
1607D4—48no—
1608D4—416no—
1609D4—416no—
1610D4—48no—
1611D4—48no—
1612D4—48no—
1613D4—416no—
1614D4—416no—
1615C2×C4—22no—
1616C2×C4—24no—
1617C2×C4—22no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—22no—
1622C2×C4—22no—
1623C2×C4—22no—
1624C2×C4—22no—
1625C2×C4—24no—
1626C2×C4—22no—
1627C2×C4—22no—
1628C2×C4—21no—
1629C2×C4—21no—
1630C2×C4—21no—
1631C2×C4—21no—
1632C2×C4—21no—
1633C2×C4—24no—
1634C2×C4—21no—
1635C2×C4—21no—
1636C2×C4—24no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—28no—
1640C2×C4—216no—
1641C2×C4—216no—
1642C2×C4—28no—
1643C2×C4—216no—
1644C2×C4—216no—
1645C2×C4—22no—
1646C2×C4—22no—
1647C2×C4—22no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—22no—
1651C2×C4—24no—
1652C2×C4—22no—
1653C2×C4—22no—
1654C2×C4—21no—
1655C2×C4—21no—
1656C2×C4—21no—
1657C2×C4—22no—
1658C2×C4—22no—
1659C2×C4—22no—
1660C2×C4—22no—
1661C2×C4—21no—
1662C2×C4—21no—
1663C2×C4—21no—
1664C2×C4—21no—
1665C2×C4—21no—
1666C2×C4—21no—
1667C2×C4—21no—
1668C2×C4—22no—
1669C2×C4—22no—
1670C2×C4—22no—
1671C2×C4—24no—
1672C2×C4—24no—
1673C2×C4—22no—
1674C2×C4—24no—
1675C2×C4—22no—
1676C2×C4—22no—
1677C2×C4—21no—
1678C2×C4—24no—
1679C2×C4—22no—
1680C2×C4—22no—
1681C2×C4—24no—
1682C2×C4—21no—
1683C2×C4—21no—
1684C2×C4—22no—
1685C2×C4—22no—
1686C2×C4—22no—
1687C2×C4—22no—
1688C2×C4—21no—
1689C2×C4—21no—
1690C2×C4—21no—
1691C2×C4—22no—
1692C2×C4—22no—
1693C2×C4—48no—
1694C2×C4—48no—
1695C2×C4—48no—
1696C2×C4—44no—
1697C2×C4—416no—
1698C2×C4—416no—
1699C2×C4—48no—
1700C2×C4—84no—
1701C2×C4—84no—
1702C2×C4—84no—
1703C2×C4—84no—
1704C2×C4—84no—
1705C2×C4—88no—
1706C2×C4—84no—
1707C2×C4—84no—
1708C2×C4—164no—
1709C2×C4—164no—
1710C2×C4—164no—
1711C2×C4C24×C412yes—
1712C2×C4C24×C418yes—
1713C2×C4C24×C412yes—
1714C2×C4C24×C414yes—
1715C2×C4C24×C414yes—
1716C2×C4C24×C412yes—
1717C2×C4C24×C412yes—
1718C2×C4C24×C414yes—
1719C2×C4C24×C414yes—
1720C2×C4C24×C418yes—
1721C2×C4C24×C412yes—
1722C2×C4C24×C412yes—
1723C2×C4C2×H(5,𝔽2)12yes—
1724C2×C4C2×H(5,𝔽2)12yes—
1725C2×C4C2×H(5,𝔽2)12yes—
1726C2×C4#58512yes—
1727C2×C4#58512yes—
1728C2×C4#58512yes—
1729C22—22no—
1730C22—24no—
1731C22—24no—
1732C22—24no—
1733C22—24no—
1734C22—22no—
1735C22—24no—
1736C22—24no—
1737C22—24no—
1738C22—24no—
1739C22—22no—
1740C22—24no—
1741C22—24no—
1742C22—24no—
1743C22—24no—
1744C22—42no—
1745C22—42no—
1746C22—42no—
1747C22—42no—
1748C22—41no—
1749C22—42no—
1750C22—42no—
1751C22—42no—
1752C22—42no—
1753C22—41no—
1754C22—42no—
1755C22—42no—
1756C22—42no—
1757C22—42no—
1758C22—41no—
1759C22—42no—
1760C22—42no—
1761C22—42no—
1762C22—42no—
1763C22—41no—
1764C22—816no—
1765C22C25×C411yescharacteristic
1766C22C22×H(5,𝔽2)11yescharacteristic
1767C22C2×#58511yescharacteristic
1768C22C2×#58511yescharacteristic
1769C22C2×#58511yescharacteristic
1770C22H(7,𝔽2)11yescharacteristic
1771C222−1+611yescharacteristic
1772C4—22no—
1773C4—24no—
1774C4—24no—
1775C4—24no—
1776C4—22no—
1777C4—24no—
1778C4—28no—
1779C4—22no—
1780C4—22no—
1781C4—28no—
1782C4—22no—
1783C4—22no—
1784C4—42no—
1785C4—42no—
1786C4—42no—
1787C4—41no—
1788C4—41no—
1789C4—42no—
1790C4—42no—
1791C4—44no—
1792C4—42no—
1793C4—41no—
1794C4—42no—
1795C4—41no—
1796C4—41no—
1797C4—41no—
1798C4—42no—
1799C4—44no—
1800C4#342814yes—
1801C4C4×H(5,𝔽2)14yes—
1802C2—44no—
1803C2—44no—
1804C2—44no—
1805C2—44no—
1806C2—42no—
1807C2C2×#342811yescharacteristic
1808C2C2×C4×H(5,𝔽2)11yescharacteristic
1809C2#6265411yescharacteristic
1810C2#6292511yescharacteristic
1811C2#6293011yescharacteristic
1812C2#6293611yescharacteristic
1813C2#6293711yescharacteristic
subgroupG/H
center, Frattini, socle, cosocleC23C26
commutatorC22C25×C4
prime radicalC2×#3506C2
LCSG ▷ C22 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
2. #34510C2semidirect
3. #34500C2semidirect
4. #34485C2semidirect
5. #34480C2semidirect
6. #34477C2semidirect
7. #34466C2semidirect
8. #34463C2semidirect
9. #34461C2semidirect
10. #34454C2semidirect
11. #34451C2semidirect
12. #34415C2semidirect
13. #34411C2semidirect
14. #34404C2semidirect
15. #34394C2semidirect
16. #34391C2semidirect
17. #34368C2semidirect
18. #34321C2semidirect
19. #34321C2semidirect
20. #34316C2semidirect
21. #34308C2semidirect
22. #34307C2semidirect
23. #34305C2semidirect
24. #34301C2semidirect
25. #34295C2semidirect
26. #34253C2semidirect
27. #34252C2semidirect
28. #34225C2semidirect
29. #34202C2semidirect
30. #34194C2semidirect
31. C4×#555C2semidirect
32. C4×#547C2semidirect
33. D4×#117C2semidirect
34. #34086C2semidirect
35. #34065C2semidirect
36. #3506C4semidirect
53. C2×#520C22semidirect
54. C2×C4×#41C22semidirect
57. #2383C22semidirect
60. #2379C22semidirect
61. #2379C22semidirect
63. #2377C22semidirect
64. #2376C22semidirect
65. #2376C22semidirect
66. #2376C22semidirect
69. #2374C22semidirect
70. #2373C22semidirect
71. #2373C22semidirect
72. #2373C22semidirect
74. #2372C22semidirect
75. #2370C22semidirect
76. #2370C22semidirect
77. #2369C22semidirect
78. #2369C22semidirect
79. #2369C22semidirect
80. #2367C22semidirect
81. #2367C22semidirect
83. #2366C22semidirect
84. #2365C22semidirect
85. #2365C22semidirect
86. #2364C22semidirect
91. #2363C22semidirect
92. #2363C22semidirect
93. #2363C22semidirect
96. #2362C22semidirect
97. #2362C22semidirect
102. #2361C22semidirect
103. #2361C22semidirect
104. #2361C22semidirect
105. #2360C22semidirect
106. #2360C22semidirect
107. #2359C22semidirect
108. #2359C22semidirect
109. #2359C22semidirect
110. #2359C22semidirect
114. #2356C22semidirect
115. #2356C22semidirect
116. #2356C22semidirect
117. #2355C22semidirect
123. #2354C22semidirect
124. #2354C22semidirect
125. #2354C22semidirect
127. #2353C22semidirect
128. #2353C22semidirect
134. #2352C22semidirect
135. #2352C22semidirect
136. #2351C22semidirect
137. #2351C22semidirect
138. #2349C22semidirect
143. D4×C4⋊C4C22semidirect
144. D4×C4⋊C4C22semidirect
145. D4×C4⋊C4C22semidirect
146. D4×C4⋊C4C22semidirect
149. #2347C22semidirect
150. #2347C22semidirect
151. #2347C22semidirect
152. #2347C22semidirect
155. #2346C22semidirect
156. #2346C22semidirect
157. #2346C22semidirect
158. #2346C22semidirect
160. #2345C22semidirect
161. #2345C22semidirect
164. #2344C22semidirect
165. #2344C22semidirect
169. #2341C22semidirect
170. #2341C22semidirect
171. #2339C22semidirect
172. #2339C22semidirect
178. #2337C22semidirect
179. #2337C22semidirect
180. #2337C22semidirect
181. #2337C22semidirect
182. #2335C22semidirect
183. #2335C22semidirect
184. #2335C22semidirect
185. #2335C22semidirect
186. #2334C22semidirect
187. #2334C22semidirect
188. #2334C22semidirect
191. #2333C22semidirect
192. #2331C22semidirect
193. #2331C22semidirect
194. #2330C22semidirect
195. #2330C22semidirect
198. #2328C22semidirect
199. #2328C22semidirect
200. #2326C22semidirect
201. #2325C22semidirect
213. #2324C22semidirect
214. #2324C22semidirect
215. #2324C22semidirect
220. #2323C22semidirect
221. #2323C22semidirect
222. #2322C22semidirect
223. #2322C22semidirect
224. #2322C22semidirect
229. #2320C22semidirect
230. #2320C22semidirect
231. #2320C22semidirect
234. #2319C22semidirect
237. #2318C22semidirect
238. #2318C22semidirect
239. #2317C22semidirect
240. #2317C22semidirect
241. #2316C22semidirect
244. #2311C22semidirect
245. C4×C4⋊Q8C22semidirect
246. C4×C4⋊Q8C22semidirect
247. C4×C4⋊Q8C22semidirect
248. C4×C4⋊Q8C22semidirect
249. C4×#126C22semidirect
250. C4×#124C22semidirect
251. C4×C22⋊Q8C22semidirect
252. C4×C22⋊Q8C22semidirect
253. C4×#123C22semidirect
258. C4×#121C22semidirect
259. C4×#121C22semidirect
260. C4×#121C22semidirect
263. #2297C22semidirect
264. #2296C22semidirect
265. #2296C22semidirect
266. #2295C22semidirect
270. #2293C22semidirect
271. #2293C22semidirect
272. #2293C22semidirect
273. C2×#389C22semidirect
277. #2290C22semidirect
278. #2290C22semidirect
279. #2290C22semidirect
280. #2290C22semidirect
287. #2276C22semidirect
289. #2274C22semidirect
290. #2274C22semidirect
291. #2274C22semidirect
294. C42×D4C22semidirect
295. C42×D4C22semidirect
297. C4×#117C22semidirect
298. C4×#117C22semidirect
299. C2×C4×C4⋊C4C22semidirect
305. #559C2×C4semidirect
306. #556C2×C4semidirect
307. #555C2×C4semidirect
308. #555C2×C4semidirect
309. #553C2×C4semidirect
310. #553C2×C4semidirect
311. #550C2×C4semidirect
312. #547C2×C4semidirect
313. #547C2×C4semidirect
314. #538C2×C4semidirect
315. #535C2×C4semidirect
316. #533C2×C4semidirect
317. #532C2×C4semidirect
330. #525C2×C4semidirect
331. #525C2×C4semidirect
354. #520C2×C4semidirect
365. C2×C4×D4C2×C4semidirect

Maximal subgroups

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

subgroupindex
C2×#35062
#345102
#345002
#344852
#344802
#344772
#344662
#344632
#344612
#344542
#344512
#344152
#344112
#344042
#343942
#343912
#343682
#343212
#343162
#343082
#343072
#343052
#343012
#342952
#342532
#342522
#342252
#342022
#341942
C4×#5552
C4×#5472
D4×#1172
#340862
#340652