Finite Group Databasebeta

← #7626930

Subgroups — #7626930

Order 512.

7188 conjugacy classes of subgroups.

The subgroup lattice has 1788 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3506C211yesmaximal, characteristic
2#34506C214yesmaximal, complemented
3#34500C212yesmaximal, complemented
4#34498C212yesmaximal, complemented
5#34497C214yesmaximal, complemented
6#34494C211yesmaximal, characteristic, complemented
7#34481C211yesmaximal, characteristic, complemented
8#34473C212yesmaximal, complemented
9#34467C212yesmaximal, complemented
10#34446C214yesmaximal, complemented
11#34441C214yesmaximal, complemented
12#34438C212yesmaximal, complemented
13#34438C212yesmaximal, complemented
14#34404C212yesmaximal, complemented
15#34393C211yesmaximal, characteristic, complemented
16#34391C212yesmaximal, complemented
17#34374C211yesmaximal, characteristic, complemented
18#34331C212yesmaximal, complemented
19#34330C211yesmaximal, characteristic, complemented
20#34329C212yesmaximal, complemented
21#34324C211yesmaximal, characteristic, complemented
22#34322C211yesmaximal, characteristic, complemented
23#34313C211yesmaximal, characteristic, complemented
24#34306C212yesmaximal, complemented
25#34289C212yesmaximal, complemented
26#34263C212yesmaximal, complemented
27#34260C212yesmaximal, complemented
28#34226C211yesmaximal, characteristic, complemented
29#34202C212yesmaximal, complemented
30#34194C211yesmaximal, characteristic, complemented
31C4×#556C211yesmaximal, characteristic, complemented
32C4×#550C211yesmaximal, characteristic, complemented
33D4×#117C211yesmaximal, characteristic, complemented
34#34085C211yesmaximal, characteristic, complemented
35#34065C212yesmaximal, complemented
36#3506C4132yescomplemented
37C2×#559C2212yes—
38C2×#559C2212yes—
39C2×#556C2211yescharacteristic
40C2×#556C2211yescharacteristic
41C2×#555C2212yes—
42C2×#553C2214yes—
43C2×#550C2211yescharacteristic
44C2×#550C2211yescharacteristic
45C2×#547C2212yes—
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#2382C2214yescomplemented
59#2379C2214yescomplemented
60#2377C2214yes—
61#2377C2214yes—
62#2377C2214yes—
63#2377C2214yescomplemented
64#2376C2214yescomplemented
65#2376C2214yescomplemented
66#2376C2214yescomplemented
67#2375C2214yes—
68#2375C2214yes—
69#2374C2214yescomplemented
70#2373C2214yescomplemented
71#2373C2214yescomplemented
72#2373C2214yescomplemented
73#2372C2214yescomplemented
74#2367C2212yes—
75#2367C2212yes—
76#2367C2212yes—
77#2367C2212yes—
78#2367C2214yescomplemented
79#2367C2212yescomplemented
80#2367C2214yescomplemented
81#2367C2212yescomplemented
82#2366C2212yes—
83#2366C2212yes—
84#2366C2212yes—
85#2366C2212yes—
86#2366C2211yescharacteristic, complemented
87#2366C2211yescharacteristic, complemented
88#2365C2212yescomplemented
89#2365C2211yescharacteristic, complemented
90#2365C2212yescomplemented
91#2365C2211yescharacteristic, complemented
92#2364C2214yes—
93#2364C2214yes—
94#2364C2214yescomplemented
95#2363C2212yes—
96#2363C2212yes—
97#2363C2212yescomplemented
98#2363C2212yescomplemented
99#2363C2214yescomplemented
100#2362C2212yescomplemented
101#2362C2212yescomplemented
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#2357C2212yescomplemented
115#2357C2212yescomplemented
116#2357C2212yescomplemented
117#2356C2212yescomplemented
118#2355C2211yescharacteristic, complemented
119#2355C2212yescomplemented
120#2355C2212yescomplemented
121#2355C2211yescharacteristic, complemented
122#2354C2211yescharacteristic
123#2354C2211yescharacteristic
124#2354C2211yescharacteristic
125#2354C2211yescharacteristic
126#2354C2214yes—
127#2354C2212yescomplemented
128#2353C2214yes—
129#2353C2214yescomplemented
130#2352C2212yes—
131#2352C2212yes—
132#2352C2212yes—
133#2352C2214yes—
134#2352C2212yes—
135#2352C2214yescomplemented
136#2351C2212yescomplemented
137Q8×C4⋊C4C2211yescharacteristic, complemented
138Q8×C4⋊C4C2212yescomplemented
139Q8×C4⋊C4C2211yescharacteristic, complemented
140Q8×C4⋊C4C2212yescomplemented
141#2349C2214yescomplemented
142#2349C2212yescomplemented
143#2349C2212yescomplemented
144#2349C2212yescomplemented
145D4×C4⋊C4C2211yescharacteristic
146D4×C4⋊C4C2211yescharacteristic
147D4×C4⋊C4C2211yescharacteristic
148D4×C4⋊C4C2211yescharacteristic
149D4×C4⋊C4C2212yescomplemented
150D4×C4⋊C4C2214yescomplemented
151#2347C2212yescomplemented
152#2347C2212yescomplemented
153#2346C2212yescomplemented
154#2346C2212yescomplemented
155#2345C2212yes—
156#2345C2214yescomplemented
157#2344C2211yescharacteristic
158#2344C2211yescharacteristic
159#2344C2214yescomplemented
160#2343C2214yescomplemented
161#2343C2214yescomplemented
162#2342C2212yes—
163#2342C2212yes—
164#2342C2214yes—
165#2341C2212yes—
166#2341C2212yes—
167#2341C2212yescomplemented
168#2341C2212yescomplemented
169#2339C2212yes—
170#2339C2212yes—
171#2339C2212yescomplemented
172#2339C2212yescomplemented
173D4×C22⋊C4C2211yescharacteristic
174D4×C22⋊C4C2211yescharacteristic
175D4×C22⋊C4C2212yes—
176#2337C2214yescomplemented
177#2337C2214yescomplemented
178#2336C2212yescomplemented
179#2336C2212yescomplemented
180#2335C2214yescomplemented
181#2335C2214yescomplemented
182#2335C2214yescomplemented
183#2335C2214yescomplemented
184#2334C2214yescomplemented
185#2334C2214yescomplemented
186#2334C2214yescomplemented
187#2333C2214yes—
188#2333C2214yes—
189#2333C2214yescomplemented
190#2332C2212yes—
191#2332C2212yes—
192#2331C2211yescharacteristic, complemented
193#2331C2211yescharacteristic, complemented
194#2328C2212yes—
195#2328C2212yes—
196#2327C2211yescharacteristic, complemented
197#2327C2211yescharacteristic, complemented
198#2326C2212yes—
199#2326C2212yes—
200#2326C2212yescomplemented
201#2326C2212yescomplemented
202#2326C2214yescomplemented
203#2325C2214yes—
204#2325C2214yes—
205#2325C2214yescomplemented
206#2324C2212yes—
207#2324C2212yes—
208#2324C2212yes—
209#2324C2212yes—
210#2324C2212yescomplemented
211#2324C2214yescomplemented
212#2324C2212yescomplemented
213#2323C2211yescharacteristic
214#2323C2212yes—
215#2323C2211yescharacteristic
216#2323C2211yescharacteristic
217#2323C2211yescharacteristic
218#2323C2212yes—
219#2323C2214yes—
220#2323C2212yescomplemented
221#2323C2212yescomplemented
222#2322C2214yescomplemented
223#2322C2214yescomplemented
224#2322C2214yescomplemented
225#2321C2214yes—
226#2321C2214yes—
227#2321C2214yes—
228#2321C2214yes—
229#2320C2212yescomplemented
230#2319C2214yes—
231#2319C2212yes—
232#2319C2214yescomplemented
233#2319C2212yescomplemented
234#2319C2212yescomplemented
235#2318C2214yes—
236#2318C2214yes—
237#2318C2214yescomplemented
238#2318C2214yescomplemented
239#2317C2212yescomplemented
240#2314C2212yes—
241#2314C2212yes—
242#2314C2214yescomplemented
243#2313C2214yescomplemented
244#2311C2212yescomplemented
245C4×C4⋊Q8C2211yescharacteristic, complemented
246C4×C4⋊Q8C2211yescharacteristic, complemented
247C4×#127C2212yes—
248C4×#127C2212yes—
249C4×#127C2211yescharacteristic, complemented
250C4×#127C2211yescharacteristic, complemented
251C4×#126C2214yescomplemented
252C4×#124C2212yes—
253C4×#124C2212yes—
254C4×#124C2214yescomplemented
255C4×C22⋊Q8C2212yescomplemented
256C4×C22⋊Q8C2212yescomplemented
257C4×#123C2214yescomplemented
258C4×#121C2212yescomplemented
259C4×#121C2212yescomplemented
260C4×#121C2214yescomplemented
261#2298C2212yes—
262#2298C2212yes—
263#2298C2214yescomplemented
264#2297C2212yescomplemented
265#2296C2212yescomplemented
266#2295C2212yescomplemented
267#2295C2211yescharacteristic, complemented
268#2295C2212yescomplemented
269#2295C2211yescharacteristic, complemented
270#2295C2212yescomplemented
271#2293C2211yescharacteristic
272#2293C2214yes—
273#2293C2211yescharacteristic
274#2293C2212yescomplemented
275#2293C2214yescomplemented
276#2290C2212yes—
277#2290C2214yes—
278#2290C2212yes—
279#2290C2214yescomplemented
280C2×#387C2214yescomplemented
281#2285C2211yescharacteristic
282#2285C2211yescharacteristic
283#2283C2211yescharacteristic
284#2280C2212yes—
285#2280C2212yes—
286C2×#380C2212yes—
287#2276C2212yescomplemented
288#2275C2212yes—
289#2275C2212yescomplemented
290#2275C2212yescomplemented
291#2274C2212yescomplemented
292C42×Q8C2211yescharacteristic, complemented
293C42×Q8C2211yescharacteristic, complemented
294C42×Q8C2212yescomplemented
295C42×D4C2211yescharacteristic
296C42×D4C2211yescharacteristic
297C42×D4C2212yescomplemented
298C4×#117C2211yescharacteristic
299C4×#117C2212yescomplemented
300C22×#41C2312yes—
301C22×#41C2312yes—
302C22×#41C2312yes—
303C23×D4C2311yescharacteristic
304C24×C4C2312yes—
305#559C2×C4132yescomplemented
306#559C2×C4132yescomplemented
307#556C2×C4116yescomplemented
308#556C2×C4116yescomplemented
309#555C2×C4132yescomplemented
310#553C2×C4164yescomplemented
311#550C2×C4116yescomplemented
312#550C2×C4116yescomplemented
313#547C2×C4132yescomplemented
314#538C2×C4164yescomplemented
315#535C2×C4132yescomplemented
316#533C2×C4116yescomplemented
317#532C2×C4116yescomplemented
318C2×C4⋊Q8C2311yescharacteristic
319C2×C4⋊Q8C2311yescharacteristic
320C2×C4⋊Q8C2311yescharacteristic
321C2×#127C2312yes—
322C2×#127C2312yes—
323C2×#127C2311yescharacteristic
324C2×#126C2314yes—
325C2×#126C2314yes—
326C2×#125C2312yes—
327C2×#124C2312yes—
328C2×#124C2312yes—
329C2×#124C2312yes—
330C2×#124C2314yes—
331C2×#124C2314yes—
332#525C2×C4132yescomplemented
333#525C2×C4132yescomplemented
334C2×#123C2314yes—
335C2×#123C2314yes—
336C2×#123C2314yes—
337C2×#123C2314yes—
338C2×C22⋊Q8C2311yescharacteristic
339C2×C22⋊Q8C2311yescharacteristic
340C2×C22⋊Q8C2312yes—
341C2×C22⋊Q8C2312yes—
342C2×C22⋊Q8C2312yes—
343C2×#121C2312yes—
344C2×#121C2312yes—
345C2×#121C2314yes—
346C2×#121C2314yes—
347C2×#121C2314yes—
348C2×#121C2314yes—
349C2×#121C2312yes—
350C2×#121C2312yes—
351C2×#120C2314yes—
352C2×#120C2314yes—
353#520—48no—
354#520C2×C4132yescomplemented
355C4×#41—48no—
356C2×C4×Q8C2311yescharacteristic
357C2×C4×Q8C2311yescharacteristic
358C2×C4×Q8C2312yes—
359C2×C4×Q8C2312yes—
360C2×C4×Q8C2312yes—
361C2×C4×Q8C2311yescharacteristic
362C2×C4×Q8C2311yescharacteristic
363C2×C4×Q8C2312yes—
364C2×C4×Q8C2312yes—
365C2×C4×Q8C2312yes—
366C2×C4×Q8C2314yes—
367C2×C4×Q8C2312yes—
368C2×C4×Q8C2311yescharacteristic
369C2×C4×Q8C2311yescharacteristic
370C2×C4×Q8C2312yes—
371C2×C4×Q8C2312yes—
372C2×C4×D4C2×C4116yescomplemented
373C2×C4×D4C2312yes—
374C2×C4×D4C2311yescharacteristic
375C2×C4×D4C2312yes—
376C2×C4×D4C2314yes—
377C2×C4×D4C2314yes—
378C2×C4×D4C2312yes—
379C2×C4×D4C2312yes—
380C2×C4×D4C2312yes—
381C2×C4×D4C2312yes—
382C2×C4×D4C2314yes—
383C2×C4×D4C2312yes—
384C2×C4×D4C2312yes—
385C2×C4×D4C2314yes—
386C2×C4×D4C2311yescharacteristic
387C2×C4×D4C2312yes—
388C2×C4×D4C2311yescharacteristic
389C2×C4×D4C2312yes—
390C2×C4×D4C2311yescharacteristic
391C2×C4×D4C2314yes—
392C2×C4×D4C2314yes—
393C2×C4×D4C2312yes—
394C2×C4×D4C2312yes—
395C2×C4×D4C2314yes—
396C2×C4×D4C2314yes—
397C2×C4×D4C2312yes—
398C2×C4×D4C2314yes—
399C2×C4×D4C2312yes—
400C2×C4×D4C2314yes—
401C2×C4×D4C2311yescharacteristic
402C2×C4×D4C2312yes—
403C2×C4×D4C2312yes—
404C2×C4×D4C2311yescharacteristic
405C2×C4×D4C2314yes—
406C2×C4×D4C2312yes—
407C2×C4×D4C2314yes—
408C2×C4×D4C2311yescharacteristic
409C2×C4×D4C2311yescharacteristic
410C2×C4×D4C2312yes—
411C2×#117—48no—
412C2×#117C2311yescharacteristic
413C2×#117C2312yes—
414C2×#117C2312yes—
415C2×#117C2312yes—
416C2×#117C2311yescharacteristic
417C2×#117C2314yes—
418C2×#117C2312yes—
419C2×#117C2312yes—
420C2×#117C2314yes—
421C2×#117C2312yes—
422C2×#117C2312yes—
423C2×#117C2312yes—
424C2×#117C2312yes—
425C2×#117C2312yes—
426C2×#117C2312yes—
427C2×#117C2314yes—
428C2×#117C2312yes—
429C2×#117C2312yes—
430C22×C4⋊C4C2312yes—
431C22×C4⋊C4C2312yes—
432C22×C4⋊C4C2312yes—
433C22×C4⋊C4C2312yes—
434C22×C4⋊C4C2314yes—
435C22×C4⋊C4C2314yes—
436C22×C4⋊C4C2311yescharacteristic
437C22×C22⋊C4C2312yes—
438C22×C22⋊C4C2312yes—
439C22×C22⋊C4C2314yes—
440C22×C22⋊C4C2312yes—
441C22×C42C2312yes—
442C22×C42C2312yes—
443C22×C42C2314yes—
444C22×C42C2311yescharacteristic
445#391C2312yes—
446#391C2312yes—
447#391C2311yescharacteristic
448#391C2312yes—
449#391C2312yes—
450#391C2311yescharacteristic
451#391C2312yes—
452#391C2311yescharacteristic
453#391C2311yescharacteristic
454#391C2314yes—
455#391C2312yes—
456#391C2312yes—
457#391C2312yes—
458#391C2312yes—
459#391C2312yes—
460#390C2311yescharacteristic
461#390C2312yes—
462#390C2312yes—
463#390C2312yes—
464#390C2314yes—
465#390C2314yes—
466#390C2314yes—
467#390C2314yes—
468#390C2312yes—
469#390C2312yes—
470#390C2312yes—
471#390C2312yes—
472#390C2312yes—
473#390C2312yes—
474#390C2314yes—
475#390C2314yes—
476#390C2312yes—
477#390C2314yes—
478#390C2314yes—
479#390C2314yes—
480#390C2314yes—
481#390C2314yes—
482#390C2312yes—
483#390C2314yes—
484#390C2311yescharacteristic
485#390C2312yes—
486#390C2311yescharacteristic
487#390C2311yescharacteristic
488#389C2312yes—
489#389C2312yes—
490#389C2312yes—
491#389C2312yes—
492#389C2311yescharacteristic
493#389C2312yes—
494#389C2312yes—
495#389C2312yes—
496#389C2312yes—
497#389C2314yes—
498#389C2314yes—
499#389C2312yes—
500#389C2311yescharacteristic
501#389C2314yes—
502#389C2311yescharacteristic
503#389C2312yes—
504#389C2314yes—
505#389C2314yes—
506#389C2314yes—
507#389C2314yes—
508#389C2311yescharacteristic
509#389C2314yes—
510#389C2312yes—
511#389C2311yescharacteristic
512#389C2311yescharacteristic
513#389C2314yes—
514#389C2312yes—
515#389C2312yes—
516#389C2312yes—
517#389C2311yescharacteristic
518#389C2311yescharacteristic
519#388C2314yes—
520#388C2314yes—
521#388C2314yes—
522#388C2314yes—
523#388C2314yes—
524#388C2314yes—
525#388C2314yes—
526#388C2314yes—
527#388C2314yes—
528#388C2314yes—
529#388C2314yes—
530#388C2312yes—
531#388C2314yes—
532#388C2314yes—
533#388C2314yes—
534#388C2314yes—
535#388C2314yes—
536#388C2312yes—
537#388C2314yes—
538#388C2314yes—
539#388C2314yes—
540#388C2314yes—
541#388C2314yes—
542#388C2314yes—
543#388C2314yes—
544#388C2312yes—
545#388C2312yes—
546#388C2314yes—
547#388C2314yes—
548#388C2314yes—
549#388C2314yes—
550#388C2314yes—
551#388C2314yes—
552#388C2314yes—
553#388C2314yes—
554#388C2314yes—
555#388C2312yes—
556#388C2312yes—
557#388C2312yes—
558#388C2312yes—
559#388C2312yes—
560#388C2314yes—
561#388C2312yes—
562#388C2314yes—
563#388C2314yes—
564#388C2314yes—
565#388C2314yes—
566#388C2314yes—
567#388C2312yes—
568#388C2312yes—
569#388C2312yes—
570#388C2314yes—
571#388C2312yes—
572#388C2312yes—
573#388C2312yes—
574#388C2314yes—
575#387C2314yes—
576#387C2314yes—
577#387C2314yes—
578#387C2312yes—
579#387C2312yes—
580#387C2314yes—
581#387C2314yes—
582#387C2314yes—
583#387C2314yes—
584#387C2314yes—
585#387C2314yes—
586#387C2314yes—
587#387C2314yes—
588#387C2312yes—
589#387C2312yes—
590#387C2314yes—
591#387C2314yes—
592#387C2312yes—
593#387C2314yes—
594#387C2314yes—
595#387C2312yes—
596#387C2314yes—
597#387C2312yes—
598#387C2314yes—
599#387C2314yes—
600#387C2312yes—
601#387C2312yes—
602#387C2312yes—
603#387C2312yes—
604#387C2312yes—
605#387C2312yes—
606#387C2312yes—
607#387C2312yes—
608#387C2312yes—
609#387C2312yes—
610#387C2312yes—
611#387C2312yes—
612#387C2312yes—
613#387C2312yes—
614#387C2312yes—
615#387C2314yes—
616#387C2312yes—
617#387C2312yes—
618#387C2314yes—
619#386C2314yes—
620#386C2314yes—
621#386C2314yes—
622#386C2314yes—
623#386C2314yes—
624#386C2314yes—
625#386C2314yes—
626#386C2314yes—
627#386C2314yes—
628#386C2314yes—
629#386C2314yes—
630#386C2314yes—
631#386C2314yes—
632#386C2314yes—
633#386C2314yes—
634#386C2314yes—
635#386C2314yes—
636#386C2314yes—
637#386C2314yes—
638#386C2314yes—
639#386C2312yes—
640#386C2312yes—
641#386C2314yes—
642#386C2314yes—
643#386C2314yes—
644#386C2312yes—
645#386C2312yes—
646#386C2314yes—
647#385C2314yes—
648#385C2314yes—
649#385C2314yes—
650#385C2314yes—
651#385C2314yes—
652#385C2314yes—
653#385C2314yes—
654#385C2314yes—
655#385C2314yes—
656#385C2314yes—
657#385C2314yes—
658#385C2314yes—
659#385C2314yes—
660#385C2312yes—
661#385C2314yes—
662#385C2314yes—
663#385C2314yes—
664#385C2314yes—
665#385C2314yes—
666#385C2314yes—
667#385C2312yes—
668#385C2314yes—
669#385C2312yes—
670#385C2312yes—
671#384C2312yes—
672#384C2312yes—
673#384C2311yescharacteristic
674#384C2311yescharacteristic
675#384C2314yes—
676#384C2311yescharacteristic
677#384C2311yescharacteristic
678#383C2314yes—
679#383C2312yes—
680#383C2314yes—
681#382C2312yes—
682#382C2312yes—
683#382C2314yes—
684#382C2314yes—
685#382C2312yes—
686#382C2314yes—
687#382C2312yes—
688#382C2311yescharacteristic
689#382C2311yescharacteristic
690#381C2314yes—
691#381C2314yes—
692#381C2312yes—
693#381C2314yes—
694#381C2312yes—
695#381C2314yes—
696#381C2314yes—
697#381C2312yes—
698#380C2314yes—
699#380C2314yes—
700#380C2314yes—
701#380C2311yescharacteristic
702#380C2312yes—
703#380C2311yescharacteristic
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⋊C4C2312yes—
725C4×C4⋊C4C2312yes—
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⋊C4C2314yes—
735C4×C4⋊C4C2314yes—
736C4×C4⋊C4C2312yes—
737C4×C4⋊C4C2314yes—
738C4×C4⋊C4C2312yes—
739C4×C4⋊C4C2311yescharacteristic
740C4×C4⋊C4C2312yes—
741C4×C4⋊C4C2311yescharacteristic
742C4×C4⋊C4C2311yescharacteristic
743C4×C4⋊C4C2311yescharacteristic
744C4×C4⋊C4C2314yes—
745C4×C4⋊C4C2312yes—
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2314yes—
752C4×C4⋊C4C2314yes—
753C4×C4⋊C4C2314yes—
754C4×C4⋊C4C2314yes—
755C4×C4⋊C4C2311yescharacteristic
756C4×C4⋊C4C2311yescharacteristic
757C4×C4⋊C4C2314yes—
758C4×C4⋊C4C2314yes—
759C4×C4⋊C4C2311yescharacteristic
760C4×C4⋊C4C2311yescharacteristic
761C4×C4⋊C4C2311yescharacteristic
762C4×C4⋊C4C2311yescharacteristic
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C22⋊C4C2312yes—
777C4×C22⋊C4C2314yes—
778C4×C22⋊C4C2314yes—
779C4×C22⋊C4C2314yes—
780C4×C22⋊C4C2314yes—
781C4×C22⋊C4C2314yes—
782C4×C22⋊C4C2314yes—
783C4×C22⋊C4C2314yes—
784C4×C22⋊C4C2314yes—
785C4×C22⋊C4C2314yes—
786C4×C22⋊C4C2314yes—
787C4×C22⋊C4C2314yes—
788C4×C22⋊C4C2311yescharacteristic
789C4×C22⋊C4C2311yescharacteristic
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2314yes—
799C4×C22⋊C4C2314yes—
800C4×C22⋊C4C2314yes—
801C4×C22⋊C4C2314yes—
802C4×C22⋊C4C2311yescharacteristic
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2311yescharacteristic
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2314yes—
810C4×C22⋊C4C2312yes—
811C4×C22⋊C4C2314yes—
812C4×C22⋊C4C2314yes—
813#376C2312yes—
814#376C2314yes—
815#376C2311yescharacteristic
816#376C2312yes—
817#376C2314yes—
818#376C2312yes—
819#376C2311yescharacteristic
820#376C2314yes—
821C2×#95C2314yes—
822C2×#95C2314yes—
823C2×#95C2314yes—
824C2×#95C2314yes—
825C2×#95C2314yes—
826C43C2314yes—
827C43C2312yes—
828C43C2312yes—
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×Q8C2411yescharacteristic
843C22×Q8C2411yescharacteristic
844C22×Q8C2412yes—
845C22×D4—42no—
846C22×D4—42no—
847C22×D4C22×C418yes—
848C22×D4C2411yescharacteristic
849C22×D4C2411yescharacteristic
850C22×D4C2412yes—
851C22×D4C2412yes—
852C22×D4C2414yes—
853C22×D4C2414yes—
854C22×D4C2412yes—
855C22×D4C2414yes—
856C22×D4C2414yes—
857C22×D4C2414yes—
858C22×D4C2412yes—
859C23×C4—44no—
860C23×C4—44no—
861C23×C4C22×C4116yes—
862C23×C4C2412yes—
863C23×C4C2411yescharacteristic
864C23×C4C2411yescharacteristic
865C23×C4C2412yes—
866C23×C4C2412yes—
867C23×C4C2412yes—
868C23×C4C2414yes—
869C23×C4C2414yes—
870C23×C4C2412yes—
871C23×C4C2414yes—
872C23×C4C2412yes—
873C23×C4C2414yes—
874C23×C4C2414yes—
875C23×C4C2414yes—
876C23×C4C2411yescharacteristic
877C23×C4C2412yes—
878C23×C4C2414yes—
879C23×C4C2412yes—
880C23×C4C2414yes—
881C23×C4C2414yes—
882C23×C4C2412yes—
883C4⋊Q8C22×C418yes—
884C4⋊Q8C22×C418yes—
885C4⋊Q8C22×C418yes—
886#127C22×C418yes—
887#127C22×C4116yes—
888#127C22×C4116yes—
889#126C22×C4132yes—
890#126C22×C4132yes—
891#125C22×C4116yes—
892#124C22×C4116yes—
893#124C22×C4116yes—
894#124C22×C4116yes—
895#124C22×C4132yes—
896#124C22×C4132yes—
897#123C22×C4132yes—
898#123C22×C4132yes—
899#123C22×C4132yes—
900#123C22×C4132yes—
901C22⋊Q8C22×C418yes—
902C22⋊Q8C22×C418yes—
903C22⋊Q8C22×C4116yes—
904C22⋊Q8C22×C4116yes—
905C22⋊Q8C22×C4116yes—
906#121C22×C4116yes—
907#121C22×C4116yes—
908#121C22×C4116yes—
909#121C22×C4116yes—
910#121C22×C4132yes—
911#121C22×C4132yes—
912#121C22×C4132yes—
913#121C22×C4132yes—
914#120C22×C4132yes—
915#120C22×C4132yes—
916C4×Q8—24no—
917C4×Q8—24no—
918C4×Q8—42no—
919C4×Q8—42no—
920C4×Q8—44no—
921C4×Q8—44no—
922C4×Q8—44no—
923C4×Q8—44no—
924C4×Q8—44no—
925C4×Q8—44no—
926C4×Q8—84no—
927C4×Q8C22×C4116yes—
928C4×Q8C22×C4116yes—
929C4×Q8C22×C418yes—
930C4×Q8C22×C418yes—
931C4×Q8C22×C4116yes—
932C4×D4—28no—
933C4×D4—48no—
934C4×D4—44no—
935C4×D4—44no—
936C4×D4—44no—
937C4×D4—42no—
938C4×D4—42no—
939C4×D4—44no—
940C4×D4—44no—
941C4×D4—44no—
942C4×D4—44no—
943C4×D4—42no—
944C4×D4—42no—
945C4×D4—44no—
946C4×D4—44no—
947C4×D4—48no—
948C4×D4—48no—
949C4×D4—48no—
950C4×D4—84no—
951C4×D4—82no—
952C4×D4—82no—
953C4×D4—84no—
954C4×D4—84no—
955C4×D4—84no—
956C4×D4C22×C4116yes—
957C4×D4C22×C418yes—
958C4×D4C22×C418yes—
959C4×D4C22×C4116yes—
960C4×D4C22×C418yes—
961C4×D4C22×C418yes—
962C4×D4C22×C4132yes—
963C4×D4C22×C4132yes—
964C4×D4C22×C4116yes—
965C4×D4C22×C4116yes—
966C4×D4C22×C4132yes—
967C4×D4C22×C4132yes—
968C4×D4C22×C4116yes—
969C4×D4C22×C4116yes—
970#117—24no—
971#117—28no—
972#117—44no—
973#117—44no—
974#117—42no—
975#117—44no—
976#117—44no—
977#117—44no—
978#117—44no—
979#117—48no—
980#117—48no—
981#117—44no—
982#117—44no—
983#117—82no—
984#117C22×C4116yes—
985#117C22×C4132yes—
986#117C22×C4116yes—
987#117C22×C4116yes—
988C2×C4⋊C4—44no—
989C2×C4⋊C4—44no—
990C2×C4⋊C4—44no—
991C2×C4⋊C4—48no—
992C2×C4⋊C4—44no—
993C2×C4⋊C4C22×C418yes—
994C2×C4⋊C4C22×C4132yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2411yescharacteristic
997C2×C4⋊C4C2411yescharacteristic
998C2×C4⋊C4C2411yescharacteristic
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2411yescharacteristic
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2411yescharacteristic
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2411yescharacteristic
1007C2×C4⋊C4C2411yescharacteristic
1008C2×C4⋊C4C2411yescharacteristic
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2411yescharacteristic
1012C2×C4⋊C4C2411yescharacteristic
1013C2×C4⋊C4C2414yes—
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2412yes—
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2414yes—
1019C2×C4⋊C4C2414yes—
1020C2×C4⋊C4C2414yes—
1021C2×C4⋊C4C2412yes—
1022C2×C4⋊C4C2412yes—
1023C2×C4⋊C4C2411yescharacteristic
1024C2×C4⋊C4C2411yescharacteristic
1025C2×C4⋊C4C2412yes—
1026C2×C4⋊C4C2412yes—
1027C2×C4⋊C4C2414yes—
1028C2×C4⋊C4C2414yes—
1029C2×C4⋊C4C2412yes—
1030C2×C4⋊C4C2412yes—
1031C2×C4⋊C4C2412yes—
1032C2×C4⋊C4C2414yes—
1033C2×C4⋊C4C2414yes—
1034C2×C4⋊C4C2414yes—
1035C2×C4⋊C4C2414yes—
1036C2×C4⋊C4C2412yes—
1037C2×C4⋊C4C2412yes—
1038C2×C4⋊C4C2412yes—
1039C2×C4⋊C4C2412yes—
1040C2×C4⋊C4C2412yes—
1041C2×C4⋊C4C2411yescharacteristic
1042C2×C4⋊C4C2411yescharacteristic
1043C2×C4⋊C4C2414yes—
1044C2×C4⋊C4C2414yes—
1045C2×C4⋊C4C2412yes—
1046C2×C4⋊C4C2412yes—
1047C2×C4⋊C4C2411yescharacteristic
1048C2×C4⋊C4C2411yescharacteristic
1049C2×C4⋊C4C2412yes—
1050C2×C4⋊C4C2412yes—
1051C2×C4⋊C4C2412yes—
1052C2×C4⋊C4C2412yes—
1053C2×C4⋊C4C2412yes—
1054C2×C4⋊C4C2412yes—
1055C2×C22⋊C4—44no—
1056C2×C22⋊C4—44no—
1057C2×C22⋊C4—84no—
1058C2×C22⋊C4C22×C4116yes—
1059C2×C22⋊C4C2411yescharacteristic
1060C2×C22⋊C4C2411yescharacteristic
1061C2×C22⋊C4C2412yes—
1062C2×C22⋊C4C2412yes—
1063C2×C22⋊C4C2414yes—
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2414yes—
1070C2×C22⋊C4C2414yes—
1071C2×C22⋊C4C2414yes—
1072C2×C22⋊C4C2414yes—
1073C2×C22⋊C4C2414yes—
1074C2×C22⋊C4C2414yes—
1075C2×C22⋊C4C2411yescharacteristic
1076C2×C22⋊C4C2411yescharacteristic
1077C2×C22⋊C4C2414yes—
1078C2×C22⋊C4C2412yes—
1079C2×C22⋊C4C2412yes—
1080C2×C22⋊C4C2414yes—
1081C2×C22⋊C4C2414yes—
1082C2×C22⋊C4C2414yes—
1083C2×C22⋊C4C2412yes—
1084C2×C22⋊C4C2414yes—
1085C2×C22⋊C4C2412yes—
1086C2×C22⋊C4C2412yes—
1087C2×C22⋊C4C2414yes—
1088C2×C22⋊C4C2412yes—
1089C2×C22⋊C4C2414yes—
1090C2×C22⋊C4C2414yes—
1091C2×C22⋊C4C2414yes—
1092C2×C22⋊C4C2414yes—
1093C2×C22⋊C4C2414yes—
1094C2×C22⋊C4C2412yes—
1095C2×C22⋊C4C2412yes—
1096C2×C22⋊C4C2412yes—
1097C2×C22⋊C4C2414yes—
1098C2×C22⋊C4C2412yes—
1099C2×C22⋊C4C2412yes—
1100C2×C22⋊C4C2412yes—
1101C2×C22⋊C4C2412yes—
1102C2×C22⋊C4C2412yes—
1103C2×C22⋊C4C2412yes—
1104C2×C22⋊C4C2414yes—
1105C2×C22⋊C4C2414yes—
1106C2×C22⋊C4C2414yes—
1107C2×C22⋊C4C2414yes—
1108C2×C22⋊C4C2414yes—
1109C2×C22⋊C4C2414yes—
1110C2×C22⋊C4C2414yes—
1111C2×C22⋊C4C2414yes—
1112C2×C42—28no—
1113C2×C42—44no—
1114C2×C42—48no—
1115C2×C42C22×C418yes—
1116C2×C42C2412yes—
1117C2×C42C2411yescharacteristic
1118C2×C42C2412yes—
1119C2×C42C2412yes—
1120C2×C42C2412yes—
1121C2×C42C2412yes—
1122C2×C42C2411yescharacteristic
1123C2×C42C2411yescharacteristic
1124C2×C42C2411yescharacteristic
1125C2×C42C2411yescharacteristic
1126C2×C42C2412yes—
1127C2×C42C2412yes—
1128C2×C42C2412yes—
1129C2×C42C2411yescharacteristic
1130C2×C42C2411yescharacteristic
1131C2×C42C2412yes—
1132C2×C42C2414yes—
1133C2×C42C2412yes—
1134C2×C42C2414yes—
1135C2×C42C2414yes—
1136C2×C42C2414yes—
1137C2×C42C2412yes—
1138C2×C42C2411yescharacteristic
1139C2×C42C2411yescharacteristic
1140C2×C42C2412yes—
1141C2×C42C2414yes—
1142C2×C42C2414yes—
1143C2×C42C2414yes—
1144C2×C42C2414yes—
1145C2×C42C2412yes—
1146C2×C42C2412yes—
1147C2×C42C2414yes—
1148C2×C42C2414yes—
1149C2×C42C2414yes—
1150C2×C42C2412yes—
1151C2×C42C2412yes—
1152C2×C42C2411yescharacteristic
1153C2×C42C2411yescharacteristic
1154C2×C42C2414yes—
1155C2×C42C2414yes—
1156C2×C42C2412yes—
1157C2×C42C2412yes—
1158C2×C42C2411yescharacteristic
1159C2×C42C2411yescharacteristic
1160C2×C42C2411yescharacteristic
1161C2×C42C2411yescharacteristic
1162C2×C42C2411yescharacteristic
1163#95C2411yescharacteristic
1164#95C2412yes—
1165#95C2412yes—
1166#95C2412yes—
1167#95C2414yes—
1168#95C2412yes—
1169#95C2412yes—
1170#95C2412yes—
1171#95C2412yes—
1172#95C2414yes—
1173#95C2414yes—
1174#95C2414yes—
1175#95C2414yes—
1176#95C2414yes—
1177#95C2414yes—
1178#95C2414yes—
1179#95C2414yes—
1180#95C2414yes—
1181#95C2414yes—
1182#95C2412yes—
1183#95C2412yes—
1184#95C2412yes—
1185#95C2412yes—
1186#95C2411yescharacteristic
1187#95C2411yescharacteristic
1188#95C2411yescharacteristic
1189#95C2412yes—
1190#95C2412yes—
1191#95C2412yes—
1192#95C2412yes—
1193#95C2412yes—
1194#95C2412yes—
1195#95C2411yescharacteristic
1196#95C2411yescharacteristic
1197#95C2414yes—
1198#95C2414yes—
1199#95C2414yes—
1200#95C2411yescharacteristic
1201#95C2411yescharacteristic
1202#95C2412yes—
1203#95C2412yes—
1204#95C2412yes—
1205#95C2414yes—
1206#95C2412yes—
1207#95C2412yes—
1208#95C2412yes—
1209#95C2412yes—
1210#95C2412yes—
1211#95C2412yes—
1212#95C2414yes—
1213#95C2412yes—
1214#95C2412yes—
1215#95C2412yes—
1216#95C2412yes—
1217#95C2414yes—
1218#95C2414yes—
1219#95C2412yes—
1220#95C2412yes—
1221#95C2414yes—
1222#95C2414yes—
1223#95C2414yes—
1224#95C2414yes—
1225#95C2412yes—
1226#95C2412yes—
1227#95C2412yes—
1228#95C2412yes—
1229C24—42no—
1230C24—42no—
1231C24—42no—
1232C24—42no—
1233C24—42no—
1234C24—42no—
1235C24C23×C418yes—
1236C24C2511yescharacteristic
1237C24C2512yes—
1238C24C2512yes—
1239C24C2514yes—
1240#41—432no—
1241#41—432no—
1242#41—432no—
1243C2×Q8—22no—
1244C2×Q8—22no—
1245C2×Q8—24no—
1246C2×Q8—24no—
1247C2×Q8—22no—
1248C2×Q8—22no—
1249C2×Q8—42no—
1250C2×Q8—42no—
1251C2×Q8C23×C418yes—
1252C2×Q8C23×C414yes—
1253C2×Q8C23×C414yes—
1254C2×Q8C23×C418yes—
1255C2×D4—24no—
1256C2×D4—22no—
1257C2×D4—22no—
1258C2×D4—22no—
1259C2×D4—22no—
1260C2×D4—24no—
1261C2×D4—24no—
1262C2×D4—24no—
1263C2×D4—416no—
1264C2×D4—44no—
1265C2×D4—44no—
1266C2×D4—44no—
1267C2×D4—44no—
1268C2×D4—42no—
1269C2×D4—42no—
1270C2×D4—42no—
1271C2×D4—42no—
1272C2×D4—44no—
1273C2×D4—44no—
1274C2×D4—44no—
1275C2×D4—44no—
1276C2×D4—44no—
1277C2×D4—44no—
1278C2×D4C23×C414yes—
1279C2×D4C23×C414yes—
1280C2×D4C23×C418yes—
1281C2×D4C23×C418yes—
1282C2×D4C23×C4116yes—
1283C2×D4C23×C418yes—
1284C2×D4C23×C4116yes—
1285C2×D4C23×C4116yes—
1286C2×D4C23×C418yes—
1287C2×D4C23×C4116yes—
1288C2×D4C23×C4116yes—
1289C22×C4—24no—
1290C22×C4—24no—
1291C22×C4—22no—
1292C22×C4—24no—
1293C22×C4—22no—
1294C22×C4—24no—
1295C22×C4—22no—
1296C22×C4—22no—
1297C22×C4—24no—
1298C22×C4—24no—
1299C22×C4—28no—
1300C22×C4—432no—
1301C22×C4—44no—
1302C22×C4—42no—
1303C22×C4—44no—
1304C22×C4—42no—
1305C22×C4—42no—
1306C22×C4—41no—
1307C22×C4—42no—
1308C22×C4—42no—
1309C22×C4—42no—
1310C22×C4—41no—
1311C22×C4—44no—
1312C22×C4—44no—
1313C22×C4—44no—
1314C22×C4—44no—
1315C22×C4—42no—
1316C22×C4—42no—
1317C22×C4—44no—
1318C22×C4—42no—
1319C22×C4—42no—
1320C22×C4—44no—
1321C22×C4—42no—
1322C22×C4—44no—
1323C22×C4—42no—
1324C22×C4—42no—
1325C22×C4—44no—
1326C22×C4—42no—
1327C22×C4—42no—
1328C22×C4—44no—
1329C22×C4—42no—
1330C22×C4—44no—
1331C22×C4—44no—
1332C22×C4—44no—
1333C22×C4—44no—
1334C22×C4—44no—
1335C22×C4—44no—
1336C22×C4—44no—
1337C22×C4—44no—
1338C22×C4—44no—
1339C22×C4—44no—
1340C22×C4—44no—
1341C22×C4—44no—
1342C22×C4C23×C414yes—
1343C22×C4C23×C414yes—
1344C22×C4C23×C418yes—
1345C22×C4C23×C418yes—
1346C22×C4C23×C414yes—
1347C22×C4C23×C418yes—
1348C22×C4C23×C4116yes—
1349C22×C4C23×C4116yes—
1350C22×C4C23×C4116yes—
1351C22×C4C23×C418yes—
1352C22×C4C23×C418yes—
1353C22×C4C2511yescharacteristic
1354C22×C4C2512yes—
1355C22×C4C2511yescharacteristic
1356C22×C4C2512yes—
1357C22×C4C2511yescharacteristic
1358C22×C4C2511yescharacteristic
1359C22×C4C2512yes—
1360C22×C4C2512yes—
1361C22×C4C2514yes—
1362C22×C4C2512yes—
1363C22×C4C2512yes—
1364C22×C4C2512yes—
1365C22×C4C2511yescharacteristic
1366C22×C4C2511yescharacteristic
1367C22×C4C2514yes—
1368C22×C4C2512yes—
1369C22×C4C2511yescharacteristic
1370C22×C4C2512yes—
1371C22×C4C2512yes—
1372C22×C4C2512yes—
1373C22×C4C2511yescharacteristic
1374C22×C4C2514yes—
1375C22×C4C2511yescharacteristic
1376C22×C4C2512yes—
1377C22×C4C2512yes—
1378C22×C4C2511yescharacteristic
1379C22×C4C2512yes—
1380C22×C4C2511yescharacteristic
1381C22×C4C2511yescharacteristic
1382C22×C4C2511yescharacteristic
1383C22×C4C2511yescharacteristic
1384C4⋊C4—24no—
1385C4⋊C4—22no—
1386C4⋊C4—22no—
1387C4⋊C4—24no—
1388C4⋊C4—22no—
1389C4⋊C4—24no—
1390C4⋊C4—24no—
1391C4⋊C4—24no—
1392C4⋊C4—22no—
1393C4⋊C4—22no—
1394C4⋊C4—24no—
1395C4⋊C4—22no—
1396C4⋊C4—22no—
1397C4⋊C4—22no—
1398C4⋊C4—24no—
1399C4⋊C4—24no—
1400C4⋊C4—22no—
1401C4⋊C4—22no—
1402C4⋊C4—44no—
1403C4⋊C4—44no—
1404C4⋊C4—42no—
1405C4⋊C4—42no—
1406C4⋊C4—42no—
1407C4⋊C4—42no—
1408C4⋊C4—44no—
1409C4⋊C4—42no—
1410C4⋊C4—42no—
1411C4⋊C4—42no—
1412C4⋊C4—41no—
1413C4⋊C4—41no—
1414C4⋊C4—44no—
1415C4⋊C4—42no—
1416C4⋊C4—42no—
1417C4⋊C4—42no—
1418C4⋊C4—42no—
1419C4⋊C4—44no—
1420C4⋊C4—44no—
1421C4⋊C4—44no—
1422C4⋊C4—44no—
1423C4⋊C4—44no—
1424C4⋊C4—44no—
1425C4⋊C4—42no—
1426C4⋊C4—42no—
1427C4⋊C4—42no—
1428C4⋊C4C23×C418yes—
1429C4⋊C4C23×C418yes—
1430C4⋊C4C23×C414yes—
1431C4⋊C4C23×C414yes—
1432C4⋊C4C23×C4116yes—
1433C4⋊C4C23×C4116yes—
1434C4⋊C4C23×C418yes—
1435C4⋊C4C23×C418yes—
1436C4⋊C4C23×C414yes—
1437C4⋊C4C23×C414yes—
1438C4⋊C4C23×C418yes—
1439C4⋊C4C23×C418yes—
1440C4⋊C4C23×C418yes—
1441C4⋊C4C23×C418yes—
1442C4⋊C4C23×C418yes—
1443C4⋊C4C23×C418yes—
1444C22⋊C4—22no—
1445C22⋊C4—22no—
1446C22⋊C4—24no—
1447C22⋊C4—24no—
1448C22⋊C4—28no—
1449C22⋊C4—42no—
1450C22⋊C4—42no—
1451C22⋊C4—42no—
1452C22⋊C4—42no—
1453C22⋊C4—42no—
1454C22⋊C4—44no—
1455C22⋊C4—44no—
1456C22⋊C4—44no—
1457C22⋊C4—42no—
1458C22⋊C4—42no—
1459C22⋊C4—44no—
1460C22⋊C4—42no—
1461C22⋊C4—41no—
1462C22⋊C4—41no—
1463C22⋊C4—44no—
1464C22⋊C4—44no—
1465C22⋊C4—44no—
1466C22⋊C4—44no—
1467C22⋊C4—42no—
1468C22⋊C4—44no—
1469C22⋊C4—44no—
1470C22⋊C4—44no—
1471C22⋊C4—42no—
1472C22⋊C4—44no—
1473C22⋊C4—44no—
1474C22⋊C4—44no—
1475C22⋊C4—42no—
1476C22⋊C4—44no—
1477C22⋊C4—42no—
1478C22⋊C4—42no—
1479C22⋊C4—44no—
1480C22⋊C4—44no—
1481C22⋊C4—44no—
1482C22⋊C4—42no—
1483C22⋊C4C23×C418yes—
1484C22⋊C4C23×C418yes—
1485C22⋊C4C23×C418yes—
1486C22⋊C4C23×C418yes—
1487C22⋊C4C23×C418yes—
1488C22⋊C4C23×C418yes—
1489C22⋊C4C23×C4116yes—
1490C22⋊C4C23×C4116yes—
1491C22⋊C4C23×C4116yes—
1492C22⋊C4C23×C4116yes—
1493C22⋊C4C23×C4116yes—
1494C22⋊C4C23×C4116yes—
1495C22⋊C4C23×C4116yes—
1496C22⋊C4C23×C4116yes—
1497C42—24no—
1498C42—24no—
1499C42—24no—
1500C42—22no—
1501C42—24no—
1502C42—24no—
1503C42—24no—
1504C42—22no—
1505C42—22no—
1506C42—22no—
1507C42—22no—
1508C42—24no—
1509C42—24no—
1510C42—22no—
1511C42—22no—
1512C42—42no—
1513C42—42no—
1514C42—44no—
1515C42—44no—
1516C42—41no—
1517C42—42no—
1518C42—41no—
1519C42—42no—
1520C42—44no—
1521C42—44no—
1522C42—44no—
1523C42—42no—
1524C42—42no—
1525C42—41no—
1526C42—41no—
1527C42—44no—
1528C42—44no—
1529C42—44no—
1530C42—44no—
1531C42—44no—
1532C42—44no—
1533C42—42no—
1534C42—42no—
1535C42C23×C414yes—
1536C42C23×C414yes—
1537C42C23×C414yes—
1538C42C23×C414yes—
1539C42C23×C4116yes—
1540C42C23×C4116yes—
1541C42C23×C418yes—
1542C42C23×C418yes—
1543C42H(5,𝔽2)14yes—
1544C23—21no—
1545C23—22no—
1546C23—24no—
1547C23—22no—
1548C23—21no—
1549C23—22no—
1550C23—24no—
1551C23—24no—
1552C23—22no—
1553C23—22no—
1554C23—22no—
1555C23—22no—
1556C23—24no—
1557C23—22no—
1558C23—21no—
1559C23—21no—
1560C23—21no—
1561C23—22no—
1562C23—24no—
1563C23—22no—
1564C23—21no—
1565C23—22no—
1566C23—24no—
1567C23—22no—
1568C23—48no—
1569C23—48no—
1570C23—48no—
1571C23—84no—
1572C23—84no—
1573C23—84no—
1574C23—84no—
1575C23C24×C414yes—
1576C23C24×C414yes—
1577C23C24×C412yes—
1578C23C24×C418yes—
1579C23C2611yescharacteristic
1580Q8—216no—
1581Q8—28no—
1582Q8—28no—
1583Q8—48no—
1584D4—28no—
1585D4—28no—
1586D4—216no—
1587D4—216no—
1588D4—48no—
1589D4—48no—
1590D4—416no—
1591D4—416no—
1592D4—416no—
1593D4—416no—
1594D4—416no—
1595C2×C4—22no—
1596C2×C4—22no—
1597C2×C4—22no—
1598C2×C4—22no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—24no—
1603C2×C4—24no—
1604C2×C4—22no—
1605C2×C4—22no—
1606C2×C4—22no—
1607C2×C4—22no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—22no—
1613C2×C4—22no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—21no—
1618C2×C4—22no—
1619C2×C4—22no—
1620C2×C4—21no—
1621C2×C4—28no—
1622C2×C4—28no—
1623C2×C4—216no—
1624C2×C4—216no—
1625C2×C4—22no—
1626C2×C4—22no—
1627C2×C4—22no—
1628C2×C4—21no—
1629C2×C4—21no—
1630C2×C4—22no—
1631C2×C4—22no—
1632C2×C4—22no—
1633C2×C4—24no—
1634C2×C4—21no—
1635C2×C4—22no—
1636C2×C4—22no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—22no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—22no—
1648C2×C4—22no—
1649C2×C4—22no—
1650C2×C4—22no—
1651C2×C4—24no—
1652C2×C4—24no—
1653C2×C4—24no—
1654C2×C4—22no—
1655C2×C4—22no—
1656C2×C4—22no—
1657C2×C4—21no—
1658C2×C4—24no—
1659C2×C4—22no—
1660C2×C4—22no—
1661C2×C4—22no—
1662C2×C4—21no—
1663C2×C4—24no—
1664C2×C4—22no—
1665C2×C4—21no—
1666C2×C4—21no—
1667C2×C4—22no—
1668C2×C4—21no—
1669C2×C4—22no—
1670C2×C4—21no—
1671C2×C4—22no—
1672C2×C4—22no—
1673C2×C4—48no—
1674C2×C4—48no—
1675C2×C4—48no—
1676C2×C4—44no—
1677C2×C4—416no—
1678C2×C4—416no—
1679C2×C4—416no—
1680C2×C4—84no—
1681C2×C4—88no—
1682C2×C4—84no—
1683C2×C4—84no—
1684C2×C4—84no—
1685C2×C4—88no—
1686C2×C4—164no—
1687C2×C4—164no—
1688C2×C4—164no—
1689C2×C4—164no—
1690C2×C4C24×C414yes—
1691C2×C4C24×C414yes—
1692C2×C4C24×C412yes—
1693C2×C4C24×C418yes—
1694C2×C4C24×C412yes—
1695C2×C4C24×C412yes—
1696C2×C4C24×C414yes—
1697C2×C4C24×C414yes—
1698C2×C4C24×C412yes—
1699C2×C4C24×C414yes—
1700C2×C4C24×C414yes—
1701C2×C4C24×C412yes—
1702C2×C4C24×C412yes—
1703C2×C4C2×H(5,𝔽2)12yes—
1704C2×C4C2×H(5,𝔽2)12yes—
1705C2×C4C2×H(5,𝔽2)12yes—
1706C2×C4#58512yes—
1707C2×C4#58512yes—
1708C2×C4#58512yes—
1709C22—22no—
1710C22—28no—
1711C22—24no—
1712C22—24no—
1713C22—22no—
1714C22—24no—
1715C22—24no—
1716C22—28no—
1717C22—22no—
1718C22—28no—
1719C22—24no—
1720C22—24no—
1721C22—42no—
1722C22—44no—
1723C22—42no—
1724C22—41no—
1725C22—42no—
1726C22—44no—
1727C22—42no—
1728C22—41no—
1729C22—42no—
1730C22—44no—
1731C22—42no—
1732C22—41no—
1733C22—44no—
1734C22—42no—
1735C22—42no—
1736C22—41no—
1737C22—816no—
1738C22C25×C411yescharacteristic
1739C22C22×H(5,𝔽2)11yescharacteristic
1740C22C2×#58511yescharacteristic
1741C22C2×#58511yescharacteristic
1742C22C2×#58511yescharacteristic
1743C22H(7,𝔽2)11yescharacteristic
1744C222−1+611yescharacteristic
1745C4—22no—
1746C4—28no—
1747C4—24no—
1748C4—22no—
1749C4—24no—
1750C4—24no—
1751C4—24no—
1752C4—22no—
1753C4—22no—
1754C4—24no—
1755C4—24no—
1756C4—22no—
1757C4—22no—
1758C4—42no—
1759C4—41no—
1760C4—44no—
1761C4—42no—
1762C4—42no—
1763C4—42no—
1764C4—41no—
1765C4—42no—
1766C4—42no—
1767C4—41no—
1768C4—42no—
1769C4—44no—
1770C4—41no—
1771C4—41no—
1772C4—42no—
1773C4—41no—
1774C4#342814yes—
1775C4C4×H(5,𝔽2)14yes—
1776C2—48no—
1777C2—44no—
1778C2—44no—
1779C2—42no—
1780C2C2×#342811yescharacteristic
1781C2C2×C4×H(5,𝔽2)11yescharacteristic
1782C2#6265411yescharacteristic
1783C2#6295511yescharacteristic
1784C2#6296011yescharacteristic
1785C2#6296611yescharacteristic
1786C2#6296711yescharacteristic
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. #34506C2semidirect
3. #34500C2semidirect
4. #34498C2semidirect
5. #34497C2semidirect
6. #34494C2semidirect
7. #34481C2semidirect
8. #34473C2semidirect
9. #34467C2semidirect
10. #34446C2semidirect
11. #34441C2semidirect
12. #34438C2semidirect
13. #34438C2semidirect
14. #34404C2semidirect
15. #34393C2semidirect
16. #34391C2semidirect
17. #34374C2semidirect
18. #34331C2semidirect
19. #34330C2semidirect
20. #34329C2semidirect
21. #34324C2semidirect
22. #34322C2semidirect
23. #34313C2semidirect
24. #34306C2semidirect
25. #34289C2semidirect
26. #34263C2semidirect
27. #34260C2semidirect
28. #34226C2semidirect
29. #34202C2semidirect
30. #34194C2semidirect
31. C4×#556C2semidirect
32. C4×#550C2semidirect
33. D4×#117C2semidirect
34. #34085C2semidirect
35. #34065C2semidirect
36. #3506C4semidirect
53. C2×#520C22semidirect
54. C2×C4×#41C22semidirect
57. #2383C22semidirect
58. #2382C22semidirect
59. #2379C22semidirect
63. #2377C22semidirect
64. #2376C22semidirect
65. #2376C22semidirect
66. #2376C22semidirect
69. #2374C22semidirect
70. #2373C22semidirect
71. #2373C22semidirect
72. #2373C22semidirect
73. #2372C22semidirect
78. #2367C22semidirect
79. #2367C22semidirect
80. #2367C22semidirect
81. #2367C22semidirect
86. #2366C22semidirect
87. #2366C22semidirect
88. #2365C22semidirect
89. #2365C22semidirect
90. #2365C22semidirect
91. #2365C22semidirect
94. #2364C22semidirect
97. #2363C22semidirect
98. #2363C22semidirect
99. #2363C22semidirect
100. #2362C22semidirect
101. #2362C22semidirect
102. #2361C22semidirect
103. #2361C22semidirect
104. #2361C22semidirect
105. #2360C22semidirect
106. #2360C22semidirect
107. #2359C22semidirect
108. #2359C22semidirect
109. #2359C22semidirect
110. #2359C22semidirect
114. #2357C22semidirect
115. #2357C22semidirect
116. #2357C22semidirect
117. #2356C22semidirect
118. #2355C22semidirect
119. #2355C22semidirect
120. #2355C22semidirect
121. #2355C22semidirect
127. #2354C22semidirect
129. #2353C22semidirect
135. #2352C22semidirect
136. #2351C22semidirect
137. Q8×C4⋊C4C22semidirect
138. Q8×C4⋊C4C22semidirect
139. Q8×C4⋊C4C22semidirect
140. Q8×C4⋊C4C22semidirect
141. #2349C22semidirect
142. #2349C22semidirect
143. #2349C22semidirect
144. #2349C22semidirect
149. D4×C4⋊C4C22semidirect
150. D4×C4⋊C4C22semidirect
151. #2347C22semidirect
152. #2347C22semidirect
153. #2346C22semidirect
154. #2346C22semidirect
156. #2345C22semidirect
159. #2344C22semidirect
160. #2343C22semidirect
161. #2343C22semidirect
167. #2341C22semidirect
168. #2341C22semidirect
171. #2339C22semidirect
172. #2339C22semidirect
176. #2337C22semidirect
177. #2337C22semidirect
178. #2336C22semidirect
179. #2336C22semidirect
180. #2335C22semidirect
181. #2335C22semidirect
182. #2335C22semidirect
183. #2335C22semidirect
184. #2334C22semidirect
185. #2334C22semidirect
186. #2334C22semidirect
189. #2333C22semidirect
192. #2331C22semidirect
193. #2331C22semidirect
196. #2327C22semidirect
197. #2327C22semidirect
200. #2326C22semidirect
201. #2326C22semidirect
202. #2326C22semidirect
205. #2325C22semidirect
210. #2324C22semidirect
211. #2324C22semidirect
212. #2324C22semidirect
220. #2323C22semidirect
221. #2323C22semidirect
222. #2322C22semidirect
223. #2322C22semidirect
224. #2322C22semidirect
229. #2320C22semidirect
232. #2319C22semidirect
233. #2319C22semidirect
234. #2319C22semidirect
237. #2318C22semidirect
238. #2318C22semidirect
239. #2317C22semidirect
242. #2314C22semidirect
243. #2313C22semidirect
244. #2311C22semidirect
245. C4×C4⋊Q8C22semidirect
246. C4×C4⋊Q8C22semidirect
249. C4×#127C22semidirect
250. C4×#127C22semidirect
251. C4×#126C22semidirect
254. C4×#124C22semidirect
255. C4×C22⋊Q8C22semidirect
256. C4×C22⋊Q8C22semidirect
257. C4×#123C22semidirect
258. C4×#121C22semidirect
259. C4×#121C22semidirect
260. C4×#121C22semidirect
263. #2298C22semidirect
264. #2297C22semidirect
265. #2296C22semidirect
266. #2295C22semidirect
267. #2295C22semidirect
268. #2295C22semidirect
269. #2295C22semidirect
270. #2295C22semidirect
274. #2293C22semidirect
275. #2293C22semidirect
279. #2290C22semidirect
280. C2×#387C22semidirect
287. #2276C22semidirect
289. #2275C22semidirect
290. #2275C22semidirect
291. #2274C22semidirect
292. C42×Q8C22semidirect
293. C42×Q8C22semidirect
294. C42×Q8C22semidirect
297. C42×D4C22semidirect
299. C4×#117C22semidirect
305. #559C2×C4semidirect
306. #559C2×C4semidirect
307. #556C2×C4semidirect
308. #556C2×C4semidirect
309. #555C2×C4semidirect
310. #553C2×C4semidirect
311. #550C2×C4semidirect
312. #550C2×C4semidirect
313. #547C2×C4semidirect
314. #538C2×C4semidirect
315. #535C2×C4semidirect
316. #533C2×C4semidirect
317. #532C2×C4semidirect
332. #525C2×C4semidirect
333. #525C2×C4semidirect
354. #520C2×C4semidirect
372. 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
#345062
#345002
#344982
#344972
#344942
#344812
#344732
#344672
#344462
#344412
#344382
#344042
#343932
#343912
#343742
#343312
#343302
#343292
#343242
#343222
#343132
#343062
#342892
#342632
#342602
#342262
#342022
#341942
C4×#5562
C4×#5502
D4×#1172
#340852
#340652