Finite Group Databasebeta

← #7626969

Subgroups — #7626969

Order 512.

7016 conjugacy classes of subgroups.

The subgroup lattice has 1734 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3501C211yesmaximal, characteristic
2#34489C212yesmaximal, complemented
3#34487C211yesmaximal, characteristic, complemented
4#34486C214yesmaximal, complemented
5#34484C211yesmaximal, characteristic, complemented
6#34484C212yesmaximal, complemented
7#34475C212yesmaximal, complemented
8#34464C214yesmaximal, complemented
9#34464C212yesmaximal, complemented
10#34435C212yesmaximal, complemented
11#34434C212yesmaximal, complemented
12#34433C214yesmaximal, complemented
13#34433C214yesmaximal, complemented
14#34394C211yesmaximal, characteristic, complemented
15#34380C212yesmaximal, complemented
16#34374C211yesmaximal, characteristic, complemented
17#34370C212yesmaximal, complemented
18#34334C211yesmaximal, characteristic, complemented
19#34333C212yesmaximal, complemented
20#34332C212yesmaximal, complemented
21#34332C211yesmaximal, characteristic, complemented
22#34317C211yesmaximal, characteristic, complemented
23#34311C211yesmaximal, characteristic, complemented
24#34299C212yesmaximal, complemented
25#34291C212yesmaximal, complemented
26#34261C212yesmaximal
27#34261C212yesmaximal
28#34225C211yesmaximal, characteristic, complemented
29#34203C212yesmaximal, complemented
30#34194C211yesmaximal, characteristic
31C4×#554C211yesmaximal, characteristic, complemented
32C4×D4×Q8C211yesmaximal, characteristic, complemented
33D4×#117C211yesmaximal, characteristic
34#34085C211yesmaximal, characteristic, complemented
35C2×#2323C212yesmaximal, complemented
36#3501C4132yescomplemented
37C2×#554C2212yes—
38C2×#554C2211yescharacteristic
39C2×#554C2211yescharacteristic
40C2×#554C2214yes—
41C2×#554C2212yes—
42C2×#554C2212yes—
43C2×D4×Q8C2211yescharacteristic
44C2×D4×Q8C2211yescharacteristic
45C2×D4×Q8C2212yes—
46C2×#544C2212yes—
47C2×#543C2214yes—
48C2×#533C2211yescharacteristic
49C2×#533C2211yescharacteristic
50C22×C22⋊Q8C2212yes—
51C22×C22⋊Q8C2212yes—
52C2×#519C2212yescomplemented
53C2×#518C2212yes—
54C22×C4×Q8C2212yescomplemented
55C22×C4×D4C2211yescharacteristic
56C22×#117C2212yes—
57#2382C2214yescomplemented
58#2382C2214yescomplemented
59#2381C2214yescomplemented
60#2378C2214yes—
61#2378C2214yes—
62#2378C2214yes—
63#2378C2214yescomplemented
64#2378C2214yescomplemented
65#2378C2214yescomplemented
66#2378C2214yescomplemented
67#2378C2214yescomplemented
68#2378C2214yescomplemented
69#2371C2214yescomplemented
70#2370C2212yescomplemented
71#2370C2212yescomplemented
72#2370C2212yescomplemented
73#2370C2212yescomplemented
74#2370C2212yescomplemented
75#2370C2212yescomplemented
76#2369C2211yescharacteristic, complemented
77#2369C2212yescomplemented
78#2369C2212yescomplemented
79#2369C2211yescharacteristic, complemented
80#2368C2214yescomplemented
81#2368C2214yescomplemented
82#2368C2214yescomplemented
83#2368C2214yescomplemented
84#2365C2212yescomplemented
85#2365C2211yescharacteristic, complemented
86#2365C2212yescomplemented
87#2365C2212yescomplemented
88#2365C2211yescharacteristic, complemented
89#2365C2212yescomplemented
90#2365C2214yescomplemented
91#2362C2212yes—
92#2362C2212yes—
93#2362C2214yes—
94#2362C2214yes—
95#2362C2212yescomplemented
96#2362C2214yescomplemented
97#2362C2212yescomplemented
98#2362C2214yescomplemented
99#2362C2212yescomplemented
100#2362C2212yescomplemented
101#2362C2214yescomplemented
102#2362C2214yescomplemented
103#2360C2212yescomplemented
104#2360C2214yescomplemented
105#2360C2214yescomplemented
106#2360C2214yescomplemented
107#2360C2214yescomplemented
108#2360C2214yescomplemented
109#2360C2212yescomplemented
110#2360C2212yescomplemented
111#2360C2212yescomplemented
112#2360C2214yescomplemented
113#2357C2212yes—
114#2357C2212yes—
115#2356C2212yescomplemented
116#2356C2212yescomplemented
117#2355C2211yescharacteristic, complemented
118#2355C2212yescomplemented
119#2355C2211yescharacteristic, complemented
120#2354C2211yescharacteristic
121#2354C2212yes—
122#2354C2211yescharacteristic
123#2354C2211yescharacteristic
124#2354C2211yescharacteristic
125#2354C2212yes—
126#2353C2214yes—
127#2353C2214yes—
128#2352C2212yes—
129#2352C2212yes—
130#2352C2212yes—
131#2352C2212yes—
132#2352C2214yes—
133#2352C2214yes—
134#2351C2212yescomplemented
135#2351C2212yescomplemented
136Q8×C4⋊C4C2211yescharacteristic, complemented
137Q8×C4⋊C4C2212yescomplemented
138Q8×C4⋊C4C2211yescharacteristic, complemented
139#2349C2212yes—
140#2349C2212yes—
141D4×C4⋊C4C2211yescharacteristic
142D4×C4⋊C4C2212yes—
143D4×C4⋊C4C2211yescharacteristic
144D4×C4⋊C4C2212yes—
145D4×C4⋊C4C2211yescharacteristic
146D4×C4⋊C4C2211yescharacteristic
147#2347C2212yes—
148#2347C2212yes—
149#2346C2212yes—
150#2346C2212yes—
151#2345C2212yes—
152#2345C2214yescomplemented
153#2345C2212yescomplemented
154#2345C2214yescomplemented
155#2345C2212yescomplemented
156#2344C2211yescharacteristic
157#2344C2211yescharacteristic
158#2344C2212yescomplemented
159#2344C2212yescomplemented
160#2344C2214yescomplemented
161#2344C2214yescomplemented
162#2342C2212yes—
163#2342C2212yes—
164#2342C2214yes—
165#2342C2214yes—
166#2342C2214yes—
167#2342C2214yes—
168#2342C2214yes—
169Q8×C22⋊C4C2212yescomplemented
170Q8×C22⋊C4C2212yescomplemented
171Q8×C22⋊C4C2212yescomplemented
172Q8×C22⋊C4C2212yescomplemented
173D4×C22⋊C4C2211yescharacteristic
174D4×C22⋊C4C2211yescharacteristic
175D4×C22⋊C4C2212yes—
176#2336C2212yescomplemented
177#2336C2212yescomplemented
178#2336C2214yescomplemented
179#2336C2214yescomplemented
180#2332C2212yes—
181#2332C2212yes—
182#2332C2214yes—
183#2332C2214yes—
184#2332C2214yescomplemented
185#2332C2214yescomplemented
186#2332C2214yescomplemented
187#2332C2214yescomplemented
188#2331C2212yescomplemented
189#2331C2212yescomplemented
190#2331C2211yescharacteristic, complemented
191#2331C2211yescharacteristic, complemented
192#2331C2214yescomplemented
193#2330C2212yescomplemented
194#2330C2212yescomplemented
195#2330C2212yescomplemented
196#2330C2212yescomplemented
197#2329C2214yescomplemented
198#2329C2214yescomplemented
199#2329C2214yescomplemented
200#2329C2214yescomplemented
201#2329C2214yescomplemented
202#2329C2214yescomplemented
203#2327C2211yescharacteristic, complemented
204#2327C2211yescharacteristic, complemented
205#2327C2214yescomplemented
206#2323C2211yescharacteristic
207#2323C2212yes—
208#2323C2212yes—
209#2323C2214yes—
210#2323C2214yes—
211#2323C2212yes—
212#2323C2211yescharacteristic
213#2323C2211yescharacteristic
214#2323C2211yescharacteristic
215#2323C2212yes—
216#2323C2212yes—
217#2323C2212yes—
218#2323C2214yes—
219#2323C2212yescomplemented
220#2323C2214yescomplemented
221#2323C2212yescomplemented
222#2323C2212yescomplemented
223#2323C2214yescomplemented
224#2323C2212yescomplemented
225#2323C2214yescomplemented
226#2323C2214yescomplemented
227#2323C2214yescomplemented
228#2323C2214yescomplemented
229#2320C2214yescomplemented
230#2320C2212yescomplemented
231#2319C2212yes—
232#2319C2212yes—
233#2319C2212yes—
234#2318C2214yes—
235#2318C2214yes—
236#2318C2214yes—
237#2316C2214yescomplemented
238#2316C2212yescomplemented
239#2314C2212yes—
240#2314C2212yes—
241#2313C2214yescomplemented
242#2312C2214yes—
243#2312C2214yes—
244#2310C2212yescomplemented
245C4×C4⋊Q8C2212yescomplemented
246C4×C4⋊Q8C2211yescharacteristic, complemented
247C4×C4⋊Q8C2211yescharacteristic, complemented
248C4×C4⋊Q8C2211yescharacteristic, complemented
249C4×C4⋊Q8C2211yescharacteristic, complemented
250C4×C4⋊Q8C2212yescomplemented
251C4×#125C2212yescomplemented
252C4×#125C2212yescomplemented
253C4×C22⋊Q8C2214yescomplemented
254C4×C22⋊Q8C2212yescomplemented
255C4×C22⋊Q8C2214yescomplemented
256C4×C22⋊Q8C2212yescomplemented
257C4×C22⋊Q8C2214yescomplemented
258C4×C22⋊Q8C2212yescomplemented
259C4×C22⋊Q8C2214yescomplemented
260C4×C22⋊Q8C2212yescomplemented
261#2298C2212yes—
262#2298C2212yes—
263#2295C2211yescharacteristic, complemented
264#2295C2212yescomplemented
265#2295C2212yescomplemented
266#2295C2211yescharacteristic, complemented
267C2×#391C2212yescomplemented
268#2293C2211yescharacteristic
269#2293C2212yes—
270#2293C2212yes—
271#2293C2211yescharacteristic
272C2×#389C2214yescomplemented
273C2×#389C2212yescomplemented
274#2290C2212yes—
275#2290C2212yes—
276#2290C2214yes—
277#2290C2214yes—
278C2×#388C2214yes—
279C2×#388C2214yes—
280C2×#387C2214yescomplemented
281#2285C2211yescharacteristic
282#2285C2211yescharacteristic
283#2283C2211yescharacteristic
284#2280C2212yes—
285#2280C2212yes—
286C2×#380C2212yes—
287#2276C2212yescomplemented
288#2275C2212yes—
289#2275C2212yes—
290#2275C2212yes—
291#2274C2212yescomplemented
292C42×Q8C2211yescharacteristic, complemented
293C42×Q8C2211yescharacteristic, complemented
294C42×D4C2211yescharacteristic
295C42×D4C2212yes—
296C42×D4C2212yes—
297C42×D4C2211yescharacteristic
298C4×#117C2211yescharacteristic
299C2×C4×C4⋊C4C2212yescomplemented
300C23×Q8C2312yes—
301C23×Q8C2312yes—
302C23×D4C2311yescharacteristic
303C24×C4C2312yes—
304#554C2×C4116yes—
305#554C2×C4132yes—
306#554C2×C4132yescomplemented
307#554C2×C4164yescomplemented
308#554C2×C4116yescomplemented
309#554C2×C4132yescomplemented
310D4×Q8C2×C4116yes—
311D4×Q8C2×C4116yescomplemented
312D4×Q8C2×C4132yescomplemented
313#544C2×C4132yescomplemented
314#543C2×C4164yescomplemented
315#533C2×C4116yescomplemented
316#533C2×C4116yescomplemented
317C2×C4⋊Q8C2311yescharacteristic
318C2×C4⋊Q8C2311yescharacteristic
319C2×C4⋊Q8C2312yes—
320C2×C4⋊Q8C2312yes—
321C2×C4⋊Q8C2311yescharacteristic
322C2×C4⋊Q8C2314yes—
323C2×C4⋊Q8C2311yescharacteristic
324C2×#125C2312yes—
325C2×#125C2312yes—
326C2×#125C2312yes—
327C2×#125C2314yes—
328C2×#125C2312yes—
329C2×C22⋊Q8C2×C4132yescomplemented
330C2×C22⋊Q8C2×C4132yescomplemented
331C2×C22⋊Q8C2311yescharacteristic
332C2×C22⋊Q8C2312yes—
333C2×C22⋊Q8C2311yescharacteristic
334C2×C22⋊Q8C2314yes—
335C2×C22⋊Q8C2312yes—
336C2×C22⋊Q8C2312yes—
337C2×C22⋊Q8C2312yes—
338C2×C22⋊Q8C2314yes—
339C2×C22⋊Q8C2314yes—
340C2×C22⋊Q8C2314yes—
341C2×C22⋊Q8C2314yes—
342C2×C22⋊Q8C2314yes—
343C2×C22⋊Q8C2314yes—
344C2×C22⋊Q8C2314yes—
345C2×C22⋊Q8C2314yes—
346C2×C22⋊Q8C2314yes—
347C2×C22⋊Q8C2314yes—
348C2×C22⋊Q8C2312yes—
349C2×C22⋊Q8C2312yes—
350C2×C22⋊Q8C2314yes—
351C2×C22⋊Q8C2312yes—
352#519—48no—
353#518C2×C4132yes—
354C2×C4×Q8—48no—
355C2×C4×Q8C2312yes—
356C2×C4×Q8C2311yescharacteristic
357C2×C4×Q8C2311yescharacteristic
358C2×C4×Q8C2314yes—
359C2×C4×Q8C2312yes—
360C2×C4×Q8C2314yes—
361C2×C4×Q8C2312yes—
362C2×C4×Q8C2312yes—
363C2×C4×Q8C2314yes—
364C2×C4×Q8C2311yescharacteristic
365C2×C4×Q8C2311yescharacteristic
366C2×C4×Q8C2312yes—
367C2×C4×Q8C2312yes—
368C2×C4×Q8C2314yes—
369C2×C4×Q8C2312yes—
370C2×C4×Q8C2312yes—
371C2×C4×Q8C2314yes—
372C2×C4×Q8C2312yes—
373C2×C4×Q8C2312yes—
374C2×C4×Q8C2311yescharacteristic
375C2×C4×Q8C2311yescharacteristic
376C2×C4×Q8C2312yes—
377C2×C4×D4C2×C4116yes—
378C2×C4×D4C2311yescharacteristic
379C2×C4×D4C2311yescharacteristic
380C2×C4×D4C2312yes—
381C2×C4×D4C2311yescharacteristic
382C2×C4×D4C2311yescharacteristic
383C2×C4×D4C2312yes—
384C2×C4×D4C2312yes—
385C2×C4×D4C2314yes—
386C2×C4×D4C2314yes—
387C2×C4×D4C2311yescharacteristic
388C2×C4×D4C2312yes—
389C2×C4×D4C2312yes—
390C2×C4×D4C2311yescharacteristic
391C2×C4×D4C2311yescharacteristic
392C2×C4×D4C2312yes—
393C2×C4×D4C2312yes—
394C2×C4×D4C2312yes—
395C2×C4×D4C2311yescharacteristic
396C2×#117—48no—
397C2×#117C2311yescharacteristic
398C2×#117C2312yes—
399C2×#117C2312yes—
400C2×#117C2312yes—
401C2×#117C2312yes—
402C2×#117C2312yes—
403C2×#117C2311yescharacteristic
404C2×#117C2312yes—
405C2×#117C2312yes—
406C2×#117C2312yes—
407C2×#117C2312yes—
408C2×#117C2314yes—
409C2×#117C2314yes—
410C2×#117C2314yes—
411C2×#117C2314yes—
412C2×#117C2312yes—
413C2×#117C2312yes—
414C2×#117C2312yes—
415C22×C4⋊C4C2312yes—
416C22×C4⋊C4C2312yes—
417C22×C4⋊C4C2312yes—
418C22×C4⋊C4C2314yes—
419C22×C4⋊C4C2312yes—
420C22×C4⋊C4C2314yes—
421C22×C4⋊C4C2314yes—
422C22×C4⋊C4C2312yes—
423C22×C4⋊C4C2311yescharacteristic
424C22×C4⋊C4C2312yes—
425C22×C4⋊C4C2314yes—
426C22×C22⋊C4C2312yes—
427C22×C22⋊C4C2312yes—
428C22×C22⋊C4C2314yes—
429C22×C22⋊C4C2314yes—
430C22×C22⋊C4C2312yes—
431C22×C22⋊C4C2314yes—
432C22×C42C2312yes—
433C22×C42C2312yes—
434C22×C42C2314yes—
435C22×C42C2314yes—
436C22×C42C2311yescharacteristic
437#391C2312yes—
438#391C2312yes—
439#391C2314yes—
440#391C2312yes—
441#391C2314yes—
442#391C2312yes—
443#391C2311yescharacteristic
444#391C2312yes—
445#391C2312yes—
446#391C2314yes—
447#391C2314yes—
448#391C2314yes—
449#391C2314yes—
450#391C2311yescharacteristic
451#391C2314yes—
452#391C2312yes—
453#391C2312yes—
454#391C2314yes—
455#391C2311yescharacteristic
456#391C2311yescharacteristic
457#391C2314yes—
458#391C2312yes—
459#391C2314yes—
460#391C2314yes—
461#391C2314yes—
462#391C2314yes—
463#391C2314yes—
464#391C2312yes—
465#391C2312yes—
466#391C2312yes—
467#391C2314yes—
468#390C2311yescharacteristic
469#390C2312yes—
470#390C2311yescharacteristic
471#390C2312yes—
472#390C2311yescharacteristic
473#390C2311yescharacteristic
474#389C2311yescharacteristic
475#389C2312yes—
476#389C2312yes—
477#389C2312yes—
478#389C2311yescharacteristic
479#389C2312yes—
480#389C2312yes—
481#389C2314yes—
482#389C2312yes—
483#389C2312yes—
484#389C2312yes—
485#389C2312yes—
486#389C2312yes—
487#389C2314yes—
488#389C2312yes—
489#389C2312yes—
490#389C2312yes—
491#389C2311yescharacteristic
492#389C2314yes—
493#389C2314yes—
494#389C2314yes—
495#389C2312yes—
496#389C2312yes—
497#389C2314yes—
498#389C2314yes—
499#389C2314yes—
500#389C2314yes—
501#389C2314yes—
502#389C2314yes—
503#389C2314yes—
504#389C2314yes—
505#389C2311yescharacteristic
506#389C2312yes—
507#389C2314yes—
508#389C2314yes—
509#389C2312yes—
510#389C2314yes—
511#389C2312yes—
512#389C2314yes—
513#389C2314yes—
514#389C2314yes—
515#389C2314yes—
516#389C2314yes—
517#389C2311yescharacteristic
518#389C2311yescharacteristic
519#389C2312yes—
520#389C2312yes—
521#389C2314yes—
522#389C2314yes—
523#389C2311yescharacteristic
524#389C2312yes—
525#389C2312yes—
526#389C2311yescharacteristic
527#388C2312yes—
528#388C2312yes—
529#388C2314yes—
530#388C2314yes—
531#388C2314yes—
532#388C2314yes—
533#388C2314yes—
534#388C2314yes—
535#388C2314yes—
536#388C2314yes—
537#388C2314yes—
538#388C2314yes—
539#388C2314yes—
540#388C2314yes—
541#388C2314yes—
542#388C2314yes—
543#388C2314yes—
544#388C2314yes—
545#388C2314yes—
546#388C2314yes—
547#388C2314yes—
548#388C2314yes—
549#388C2314yes—
550#388C2314yes—
551#388C2312yes—
552#388C2312yes—
553#388C2314yes—
554#388C2314yes—
555#388C2314yes—
556#388C2314yes—
557#388C2312yes—
558#388C2312yes—
559#388C2312yes—
560#388C2312yes—
561#388C2314yes—
562#388C2314yes—
563#388C2312yes—
564#388C2312yes—
565#388C2312yes—
566#388C2312yes—
567#388C2314yes—
568#388C2314yes—
569#388C2314yes—
570#388C2314yes—
571#388C2312yes—
572#388C2312yes—
573#388C2312yes—
574#388C2312yes—
575#387C2314yes—
576#387C2314yes—
577#387C2314yes—
578#387C2314yes—
579#387C2312yes—
580#387C2314yes—
581#387C2314yes—
582#387C2314yes—
583#387C2314yes—
584#387C2314yes—
585#387C2314yes—
586#387C2314yes—
587#387C2314yes—
588#387C2314yes—
589#387C2314yes—
590#387C2312yes—
591#387C2312yes—
592#387C2314yes—
593#387C2314yes—
594#387C2314yes—
595#387C2314yes—
596#387C2314yes—
597#387C2314yes—
598#387C2314yes—
599#387C2312yes—
600#387C2314yes—
601#387C2314yes—
602#387C2314yes—
603#387C2314yes—
604#387C2314yes—
605#387C2314yes—
606#387C2314yes—
607#387C2312yes—
608#387C2312yes—
609#387C2312yes—
610#387C2312yes—
611#387C2314yes—
612#387C2314yes—
613#387C2314yes—
614#387C2314yes—
615#387C2312yes—
616#387C2312yes—
617#387C2312yes—
618#387C2314yes—
619#387C2312yes—
620#387C2312yes—
621#387C2312yes—
622#387C2312yes—
623#387C2312yes—
624#387C2314yes—
625#387C2314yes—
626#387C2314yes—
627#387C2314yes—
628#387C2314yes—
629#387C2314yes—
630#387C2314yes—
631#387C2314yes—
632#387C2314yes—
633#387C2312yes—
634#387C2314yes—
635#387C2312yes—
636#387C2312yes—
637#387C2312yes—
638#387C2312yes—
639#387C2312yes—
640#387C2314yes—
641#387C2312yes—
642#387C2312yes—
643#386C2312yes—
644#386C2314yes—
645#386C2314yes—
646#386C2312yes—
647#386C2312yes—
648#386C2312yes—
649#385C2314yes—
650#385C2314yes—
651#385C2314yes—
652#385C2314yes—
653#385C2314yes—
654#385C2314yes—
655#385C2312yes—
656#385C2314yes—
657#385C2312yes—
658#385C2314yes—
659#385C2312yes—
660#385C2314yes—
661#385C2312yes—
662#385C2314yes—
663#384C2311yescharacteristic
664#384C2311yescharacteristic
665#384C2312yes—
666#384C2312yes—
667#384C2311yescharacteristic
668#384C2311yescharacteristic
669#383C2312yes—
670#383C2314yes—
671#383C2314yes—
672#382C2312yes—
673#382C2312yes—
674#382C2312yes—
675#382C2314yes—
676#382C2314yes—
677#382C2312yes—
678#382C2311yescharacteristic
679#382C2311yescharacteristic
680#381C2314yes—
681#381C2314yes—
682#381C2314yes—
683#381C2314yes—
684#381C2314yes—
685#381C2312yes—
686#381C2312yes—
687#381C2312yes—
688#380C2314yes—
689#380C2314yes—
690#380C2314yes—
691#380C2314yes—
692#380C2312yes—
693#380C2314yes—
694#380C2311yescharacteristic
695#380C2311yescharacteristic
696#380C2312yes—
697#380C2312yes—
698#380C2314yes—
699#380C2314yes—
700#380C2314yes—
701#380C2314yes—
702#380C2311yescharacteristic
703#380C2312yes—
704#380C2311yescharacteristic
705#380C2312yes—
706#380C2314yes—
707#380C2312yes—
708#380C2312yes—
709#380C2312yes—
710#380C2312yes—
711#380C2312yes—
712#380C2312yes—
713#379C2312yes—
714#379C2312yes—
715#379C2314yes—
716C4×C4⋊C4C2311yescharacteristic
717C4×C4⋊C4C2312yes—
718C4×C4⋊C4C2314yes—
719C4×C4⋊C4C2312yes—
720C4×C4⋊C4C2314yes—
721C4×C4⋊C4C2312yes—
722C4×C4⋊C4C2314yes—
723C4×C4⋊C4C2314yes—
724C4×C4⋊C4C2311yescharacteristic
725C4×C4⋊C4C2312yes—
726C4×C4⋊C4C2312yes—
727C4×C4⋊C4C2312yes—
728C4×C4⋊C4C2312yes—
729C4×C4⋊C4C2312yes—
730C4×C4⋊C4C2312yes—
731C4×C4⋊C4C2312yes—
732C4×C4⋊C4C2314yes—
733C4×C4⋊C4C2312yes—
734C4×C4⋊C4C2314yes—
735C4×C4⋊C4C2312yes—
736C4×C4⋊C4C2312yes—
737C4×C4⋊C4C2312yes—
738C4×C4⋊C4C2312yes—
739C4×C4⋊C4C2312yes—
740C4×C4⋊C4C2312yes—
741C4×C4⋊C4C2314yes—
742C4×C4⋊C4C2312yes—
743C4×C4⋊C4C2311yescharacteristic
744C4×C4⋊C4C2312yes—
745C4×C4⋊C4C2312yes—
746C4×C4⋊C4C2314yes—
747C4×C4⋊C4C2311yescharacteristic
748C4×C4⋊C4C2311yescharacteristic
749C4×C4⋊C4C2311yescharacteristic
750C4×C4⋊C4C2314yes—
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2314yes—
755C4×C4⋊C4C2314yes—
756C4×C4⋊C4C2314yes—
757C4×C4⋊C4C2311yescharacteristic
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2311yescharacteristic
761C4×C4⋊C4C2314yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2314yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2314yes—
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2314yes—
770C4×C4⋊C4C2314yes—
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2311yescharacteristic
781C4×C4⋊C4C2312yes—
782C4×C22⋊C4C2314yes—
783C4×C22⋊C4C2314yes—
784C4×C22⋊C4C2314yes—
785C4×C22⋊C4C2314yes—
786C4×C22⋊C4C2314yes—
787C4×C22⋊C4C2314yes—
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2314yes—
799C4×C22⋊C4C2311yescharacteristic
800C4×C22⋊C4C2311yescharacteristic
801C4×C22⋊C4C2314yes—
802C4×C22⋊C4C2314yes—
803C4×C22⋊C4C2314yes—
804C4×C22⋊C4C2311yescharacteristic
805C4×C22⋊C4C2311yescharacteristic
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2312yes—
811C4×C22⋊C4C2312yes—
812C4×C22⋊C4C2314yes—
813C4×C22⋊C4C2312yes—
814C4×C22⋊C4C2314yes—
815#376C2312yes—
816#376C2312yes—
817#376C2312yes—
818#376C2311yescharacteristic
819#376C2314yes—
820#376C2311yescharacteristic
821#376C2314yes—
822C2×#95C2314yes—
823C2×#95C2314yes—
824C2×#95C2314yes—
825C2×#95C2314yes—
826C2×#95C2314yes—
827C43C2312yes—
828C43C2312yes—
829C43C2311yescharacteristic
830C43C2311yescharacteristic
831C25C2412yes—
832C22×Q8—44no—
833C22×Q8—44no—
834C22×Q8—44no—
835C22×Q8—44no—
836C22×Q8C22×C4116yes—
837C22×Q8C22×C4116yes—
838C22×Q8C2412yes—
839C22×Q8C2411yescharacteristic
840C22×Q8C2411yescharacteristic
841C22×Q8C2412yes—
842C22×Q8C2412yes—
843C22×Q8C2414yes—
844C22×Q8C2414yes—
845C22×D4—24no—
846C22×D4—24no—
847C22×D4C22×C418yes—
848C22×D4C2412yes—
849C22×D4C2411yescharacteristic
850C22×D4C2411yescharacteristic
851C23×C4—44no—
852C23×C4—44no—
853C23×C4C22×C4116yes—
854C23×C4C2412yes—
855C23×C4C2412yes—
856C23×C4C2412yes—
857C23×C4C2412yes—
858C23×C4C2411yescharacteristic
859C23×C4C2411yescharacteristic
860C23×C4C2412yes—
861C23×C4C2414yes—
862C23×C4C2412yes—
863C23×C4C2414yes—
864C23×C4C2411yescharacteristic
865C23×C4C2414yes—
866C23×C4C2414yes—
867C23×C4C2414yes—
868C23×C4C2414yes—
869C23×C4C2412yes—
870C23×C4C2412yes—
871C23×C4C2412yes—
872C4⋊Q8C22×C418yes—
873C4⋊Q8C22×C418yes—
874C4⋊Q8C22×C418yes—
875C4⋊Q8C22×C418yes—
876C4⋊Q8C22×C4116yes—
877C4⋊Q8C22×C4116yes—
878C4⋊Q8C22×C4132yes—
879#125C22×C4116yes—
880#125C22×C4116yes—
881#125C22×C4116yes—
882#125C22×C4116yes—
883#125C22×C4132yes—
884C22⋊Q8C22×C418yes—
885C22⋊Q8C22×C4116yes—
886C22⋊Q8C22×C418yes—
887C22⋊Q8C22×C4132yes—
888C22⋊Q8C22×C4132yes—
889C22⋊Q8C22×C4116yes—
890C22⋊Q8C22×C4116yes—
891C22⋊Q8C22×C4116yes—
892C22⋊Q8C22×C4116yes—
893C22⋊Q8C22×C4132yes—
894C22⋊Q8C22×C4132yes—
895C22⋊Q8C22×C4116yes—
896C22⋊Q8C22×C4116yes—
897C22⋊Q8C22×C4132yes—
898C22⋊Q8C22×C4132yes—
899C22⋊Q8C22×C4132yes—
900C22⋊Q8C22×C4132yes—
901C22⋊Q8C22×C4132yes—
902C22⋊Q8C22×C4132yes—
903C22⋊Q8C22×C4132yes—
904C22⋊Q8C22×C4132yes—
905C4×Q8—24no—
906C4×Q8—28no—
907C4×Q8—24no—
908C4×Q8—48no—
909C4×Q8—48no—
910C4×Q8—48no—
911C4×Q8—48no—
912C4×Q8—44no—
913C4×Q8—44no—
914C4×Q8—42no—
915C4×Q8—44no—
916C4×Q8—42no—
917C4×Q8—44no—
918C4×Q8—44no—
919C4×Q8—82no—
920C4×Q8—84no—
921C4×Q8—82no—
922C4×Q8C22×C418yes—
923C4×Q8C22×C418yes—
924C4×Q8C22×C4116yes—
925C4×Q8C22×C4116yes—
926C4×Q8C22×C4116yes—
927C4×D4—24no—
928C4×D4—24no—
929C4×D4—24no—
930C4×D4—28no—
931C4×D4—24no—
932C4×D4—28no—
933C4×D4C22×C418yes—
934C4×D4C22×C4116yes—
935C4×D4C22×C418yes—
936C4×D4C22×C418yes—
937C4×D4C22×C4116yes—
938C4×D4C22×C418yes—
939C4×D4C22×C4116yes—
940C4×D4C22×C4132yes—
941C4×D4C22×C4116yes—
942C4×D4C22×C4116yes—
943C4×D4C22×C4132yes—
944C4×D4C22×C4116yes—
945#117—24no—
946#117—28no—
947#117—44no—
948#117—44no—
949#117—42no—
950#117—44no—
951#117—44no—
952#117—44no—
953#117—44no—
954#117—48no—
955#117—48no—
956#117—44no—
957#117—44no—
958#117—84no—
959#117—84no—
960#117—82no—
961#117C22×C4116yes—
962#117C22×C4116yes—
963C2×C4⋊C4—44no—
964C2×C4⋊C4—44no—
965C2×C4⋊C4—44no—
966C2×C4⋊C4—44no—
967C2×C4⋊C4—48no—
968C2×C4⋊C4—84no—
969C2×C4⋊C4C22×C418yes—
970C2×C4⋊C4C22×C4132yes—
971C2×C4⋊C4C22×C4116yes—
972C2×C4⋊C4C22×C4132yes—
973C2×C4⋊C4C22×C4116yes—
974C2×C4⋊C4C2411yescharacteristic
975C2×C4⋊C4C2411yescharacteristic
976C2×C4⋊C4C2411yescharacteristic
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2411yescharacteristic
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2411yescharacteristic
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2411yescharacteristic
987C2×C4⋊C4C2411yescharacteristic
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2411yescharacteristic
990C2×C4⋊C4C2411yescharacteristic
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2411yescharacteristic
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2414yes—
999C2×C4⋊C4C2414yes—
1000C2×C4⋊C4C2414yes—
1001C2×C4⋊C4C2414yes—
1002C2×C4⋊C4C2414yes—
1003C2×C4⋊C4C2414yes—
1004C2×C4⋊C4C2414yes—
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2414yes—
1007C2×C4⋊C4C2414yes—
1008C2×C4⋊C4C2414yes—
1009C2×C4⋊C4C2414yes—
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2411yescharacteristic
1013C2×C4⋊C4C2411yescharacteristic
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2414yes—
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2414yes—
1020C2×C4⋊C4C2412yes—
1021C2×C4⋊C4C2412yes—
1022C2×C4⋊C4C2412yes—
1023C2×C4⋊C4C2414yes—
1024C2×C4⋊C4C2412yes—
1025C2×C4⋊C4C2411yescharacteristic
1026C2×C4⋊C4C2412yes—
1027C2×C4⋊C4C2411yescharacteristic
1028C2×C4⋊C4C2411yescharacteristic
1029C2×C4⋊C4C2411yescharacteristic
1030C2×C4⋊C4C2412yes—
1031C2×C4⋊C4C2414yes—
1032C2×C4⋊C4C2414yes—
1033C2×C4⋊C4C2414yes—
1034C2×C4⋊C4C2414yes—
1035C2×C4⋊C4C2414yes—
1036C2×C4⋊C4C2414yes—
1037C2×C4⋊C4C2412yes—
1038C2×C4⋊C4C2412yes—
1039C2×C4⋊C4C2412yes—
1040C2×C4⋊C4C2412yes—
1041C2×C4⋊C4C2414yes—
1042C2×C4⋊C4C2412yes—
1043C2×C4⋊C4C2412yes—
1044C2×C4⋊C4C2412yes—
1045C2×C4⋊C4C2412yes—
1046C2×C22⋊C4—44no—
1047C2×C22⋊C4—44no—
1048C2×C22⋊C4—84no—
1049C2×C22⋊C4C22×C4116yes—
1050C2×C22⋊C4C22×C4132yes—
1051C2×C22⋊C4C22×C4132yes—
1052C2×C22⋊C4C2411yescharacteristic
1053C2×C22⋊C4C2411yescharacteristic
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2414yes—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2414yes—
1061C2×C22⋊C4C2412yes—
1062C2×C22⋊C4C2412yes—
1063C2×C22⋊C4C2412yes—
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2414yes—
1068C2×C22⋊C4C2414yes—
1069C2×C22⋊C4C2414yes—
1070C2×C22⋊C4C2414yes—
1071C2×C22⋊C4C2412yes—
1072C2×C22⋊C4C2412yes—
1073C2×C22⋊C4C2411yescharacteristic
1074C2×C22⋊C4C2411yescharacteristic
1075C2×C22⋊C4C2414yes—
1076C2×C22⋊C4C2412yes—
1077C2×C22⋊C4C2412yes—
1078C2×C22⋊C4C2412yes—
1079C2×C22⋊C4C2412yes—
1080C2×C22⋊C4C2414yes—
1081C2×C22⋊C4C2412yes—
1082C2×C22⋊C4C2412yes—
1083C2×C22⋊C4C2412yes—
1084C2×C22⋊C4C2414yes—
1085C2×C22⋊C4C2414yes—
1086C2×C22⋊C4C2412yes—
1087C2×C22⋊C4C2412yes—
1088C2×C22⋊C4C2414yes—
1089C2×C22⋊C4C2414yes—
1090C2×C42—28no—
1091C2×C42—44no—
1092C2×C42—48no—
1093C2×C42—84no—
1094C2×C42C22×C418yes—
1095C2×C42C2411yescharacteristic
1096C2×C42C2412yes—
1097C2×C42C2412yes—
1098C2×C42C2412yes—
1099C2×C42C2412yes—
1100C2×C42C2412yes—
1101C2×C42C2414yes—
1102C2×C42C2411yescharacteristic
1103C2×C42C2411yescharacteristic
1104C2×C42C2411yescharacteristic
1105C2×C42C2411yescharacteristic
1106C2×C42C2412yes—
1107C2×C42C2411yescharacteristic
1108C2×C42C2412yes—
1109C2×C42C2411yescharacteristic
1110C2×C42C2412yes—
1111C2×C42C2412yes—
1112C2×C42C2412yes—
1113C2×C42C2412yes—
1114C2×C42C2414yes—
1115C2×C42C2414yes—
1116C2×C42C2414yes—
1117C2×C42C2414yes—
1118C2×C42C2414yes—
1119C2×C42C2414yes—
1120C2×C42C2414yes—
1121C2×C42C2414yes—
1122C2×C42C2411yescharacteristic
1123C2×C42C2411yescharacteristic
1124C2×C42C2414yes—
1125C2×C42C2414yes—
1126C2×C42C2412yes—
1127C2×C42C2412yes—
1128C2×C42C2414yes—
1129C2×C42C2414yes—
1130C2×C42C2414yes—
1131C2×C42C2412yes—
1132C2×C42C2411yescharacteristic
1133C2×C42C2411yescharacteristic
1134C2×C42C2412yes—
1135C2×C42C2412yes—
1136C2×C42C2414yes—
1137C2×C42C2412yes—
1138C2×C42C2412yes—
1139C2×C42C2414yes—
1140C2×C42C2411yescharacteristic
1141C2×C42C2411yescharacteristic
1142C2×C42C2411yescharacteristic
1143C2×C42C2411yescharacteristic
1144C2×C42C2411yescharacteristic
1145#95C2412yes—
1146#95C2412yes—
1147#95C2412yes—
1148#95C2412yes—
1149#95C2412yes—
1150#95C2414yes—
1151#95C2414yes—
1152#95C2414yes—
1153#95C2414yes—
1154#95C2414yes—
1155#95C2414yes—
1156#95C2414yes—
1157#95C2414yes—
1158#95C2414yes—
1159#95C2414yes—
1160#95C2414yes—
1161#95C2414yes—
1162#95C2414yes—
1163#95C2414yes—
1164#95C2414yes—
1165#95C2411yescharacteristic
1166#95C2412yes—
1167#95C2412yes—
1168#95C2412yes—
1169#95C2412yes—
1170#95C2412yes—
1171#95C2412yes—
1172#95C2412yes—
1173#95C2412yes—
1174#95C2412yes—
1175#95C2412yes—
1176#95C2412yes—
1177#95C2411yescharacteristic
1178#95C2411yescharacteristic
1179#95C2411yescharacteristic
1180#95C2411yescharacteristic
1181#95C2411yescharacteristic
1182#95C2411yescharacteristic
1183#95C2411yescharacteristic
1184#95C2414yes—
1185#95C2414yes—
1186#95C2414yes—
1187#95C2412yes—
1188#95C2412yes—
1189#95C2412yes—
1190#95C2414yes—
1191#95C2412yes—
1192#95C2412yes—
1193#95C2414yes—
1194#95C2414yes—
1195#95C2412yes—
1196#95C2412yes—
1197#95C2414yes—
1198#95C2414yes—
1199#95C2414yes—
1200#95C2412yes—
1201#95C2414yes—
1202#95C2412yes—
1203#95C2412yes—
1204#95C2414yes—
1205#95C2412yes—
1206#95C2412yes—
1207#95C2414yes—
1208#95C2414yes—
1209#95C2414yes—
1210#95C2414yes—
1211#95C2412yes—
1212#95C2412yes—
1213#95C2412yes—
1214#95C2412yes—
1215#95C2412yes—
1216#95C2412yes—
1217#95C2412yes—
1218#95C2412yes—
1219C24—24no—
1220C24—24no—
1221C24—42no—
1222C24—42no—
1223C24—42no—
1224C24—42no—
1225C24C23×C418yes—
1226C24C2511yescharacteristic
1227C24C2512yes—
1228C24C2512yes—
1229C2×Q8—22no—
1230C2×Q8—24no—
1231C2×Q8—22no—
1232C2×Q8—22no—
1233C2×Q8—24no—
1234C2×Q8—22no—
1235C2×Q8—44no—
1236C2×Q8—44no—
1237C2×Q8—42no—
1238C2×Q8—42no—
1239C2×Q8—44no—
1240C2×Q8—44no—
1241C2×Q8—42no—
1242C2×Q8—42no—
1243C2×Q8—432no—
1244C2×Q8—432no—
1245C2×Q8C23×C414yes—
1246C2×Q8C23×C414yes—
1247C2×Q8C23×C418yes—
1248C2×Q8C23×C418yes—
1249C2×Q8C23×C418yes—
1250C2×Q8C23×C4116yes—
1251C2×Q8C23×C4116yes—
1252C2×D4—24no—
1253C2×D4—24no—
1254C2×D4—232no—
1255C2×D4—22no—
1256C2×D4—22no—
1257C2×D4C23×C418yes—
1258C2×D4C23×C414yes—
1259C2×D4C23×C414yes—
1260C2×D42−1+414yes—
1261C2×D42−1+414yes—
1262C22×C4—24no—
1263C22×C4—22no—
1264C22×C4—24no—
1265C22×C4—22no—
1266C22×C4—22no—
1267C22×C4—24no—
1268C22×C4—22no—
1269C22×C4—24no—
1270C22×C4—24no—
1271C22×C4—24no—
1272C22×C4—24no—
1273C22×C4—28no—
1274C22×C4—24no—
1275C22×C4—28no—
1276C22×C4—24no—
1277C22×C4—24no—
1278C22×C4—432no—
1279C22×C4—44no—
1280C22×C4—42no—
1281C22×C4—44no—
1282C22×C4—42no—
1283C22×C4—42no—
1284C22×C4—42no—
1285C22×C4—44no—
1286C22×C4—41no—
1287C22×C4—44no—
1288C22×C4—42no—
1289C22×C4—42no—
1290C22×C4—42no—
1291C22×C4—42no—
1292C22×C4—41no—
1293C22×C4—44no—
1294C22×C4—44no—
1295C22×C4—44no—
1296C22×C4—44no—
1297C22×C4—42no—
1298C22×C4—42no—
1299C22×C4—44no—
1300C22×C4—44no—
1301C22×C4—44no—
1302C22×C4—44no—
1303C22×C4—42no—
1304C22×C4—42no—
1305C22×C4C23×C414yes—
1306C22×C4C23×C414yes—
1307C22×C4C23×C418yes—
1308C22×C4C23×C418yes—
1309C22×C4C23×C414yes—
1310C22×C4C23×C4116yes—
1311C22×C4C23×C4116yes—
1312C22×C4C23×C4116yes—
1313C22×C4C23×C4116yes—
1314C22×C4C23×C418yes—
1315C22×C4C23×C418yes—
1316C22×C4C23×C418yes—
1317C22×C4C2511yescharacteristic
1318C22×C4C2511yescharacteristic
1319C22×C4C2512yes—
1320C22×C4C2511yescharacteristic
1321C22×C4C2512yes—
1322C22×C4C2512yes—
1323C22×C4C2512yes—
1324C22×C4C2514yes—
1325C22×C4C2512yes—
1326C22×C4C2511yescharacteristic
1327C22×C4C2511yescharacteristic
1328C22×C4C2511yescharacteristic
1329C22×C4C2512yes—
1330C22×C4C2512yes—
1331C22×C4C2512yes—
1332C22×C4C2514yes—
1333C22×C4C2511yescharacteristic
1334C22×C4C2511yescharacteristic
1335C22×C4C2511yescharacteristic
1336C22×C4C2512yes—
1337C22×C4C2514yes—
1338C22×C4C2512yes—
1339C22×C4C2512yes—
1340C22×C4C2514yes—
1341C22×C4C2512yes—
1342C22×C4C2512yes—
1343C22×C4C2512yes—
1344C22×C4C2511yescharacteristic
1345C22×C4C2511yescharacteristic
1346C22×C4C2511yescharacteristic
1347C22×C4C2511yescharacteristic
1348C22×C4C2511yescharacteristic
1349C4⋊C4—22no—
1350C4⋊C4—22no—
1351C4⋊C4—24no—
1352C4⋊C4—22no—
1353C4⋊C4—24no—
1354C4⋊C4—24no—
1355C4⋊C4—28no—
1356C4⋊C4—24no—
1357C4⋊C4—24no—
1358C4⋊C4—22no—
1359C4⋊C4—22no—
1360C4⋊C4—22no—
1361C4⋊C4—24no—
1362C4⋊C4—22no—
1363C4⋊C4—24no—
1364C4⋊C4—22no—
1365C4⋊C4—22no—
1366C4⋊C4—24no—
1367C4⋊C4—22no—
1368C4⋊C4—44no—
1369C4⋊C4—42no—
1370C4⋊C4—42no—
1371C4⋊C4—42no—
1372C4⋊C4—42no—
1373C4⋊C4—44no—
1374C4⋊C4—44no—
1375C4⋊C4—44no—
1376C4⋊C4—42no—
1377C4⋊C4—44no—
1378C4⋊C4—44no—
1379C4⋊C4—44no—
1380C4⋊C4—42no—
1381C4⋊C4—42no—
1382C4⋊C4—44no—
1383C4⋊C4—42no—
1384C4⋊C4—41no—
1385C4⋊C4—41no—
1386C4⋊C4—44no—
1387C4⋊C4—44no—
1388C4⋊C4—42no—
1389C4⋊C4—44no—
1390C4⋊C4—44no—
1391C4⋊C4—42no—
1392C4⋊C4—42no—
1393C4⋊C4—42no—
1394C4⋊C4—42no—
1395C4⋊C4—44no—
1396C4⋊C4—42no—
1397C4⋊C4C23×C418yes—
1398C4⋊C4C23×C4116yes—
1399C4⋊C4C23×C418yes—
1400C4⋊C4C23×C414yes—
1401C4⋊C4C23×C418yes—
1402C4⋊C4C23×C414yes—
1403C4⋊C4C23×C418yes—
1404C4⋊C4C23×C414yes—
1405C4⋊C4C23×C414yes—
1406C4⋊C4C23×C4116yes—
1407C4⋊C4C23×C4116yes—
1408C4⋊C4C23×C4116yes—
1409C4⋊C4C23×C4116yes—
1410C4⋊C4C23×C4116yes—
1411C4⋊C4C23×C4116yes—
1412C4⋊C4C23×C418yes—
1413C4⋊C4C23×C418yes—
1414C4⋊C4C23×C418yes—
1415C4⋊C4C23×C418yes—
1416C4⋊C4C23×C418yes—
1417C4⋊C4C23×C418yes—
1418C4⋊C4C23×C4116yes—
1419C4⋊C4C23×C418yes—
1420C4⋊C4C23×C418yes—
1421C22⋊C4—28no—
1422C22⋊C4—24no—
1423C22⋊C4—28no—
1424C22⋊C4—24no—
1425C22⋊C4—24no—
1426C22⋊C4—24no—
1427C22⋊C4—22no—
1428C22⋊C4—22no—
1429C22⋊C4—24no—
1430C22⋊C4—24no—
1431C22⋊C4—42no—
1432C22⋊C4—42no—
1433C22⋊C4—42no—
1434C22⋊C4—42no—
1435C22⋊C4—42no—
1436C22⋊C4—44no—
1437C22⋊C4—44no—
1438C22⋊C4—44no—
1439C22⋊C4—42no—
1440C22⋊C4—42no—
1441C22⋊C4—42no—
1442C22⋊C4—41no—
1443C22⋊C4—41no—
1444C22⋊C4—44no—
1445C22⋊C4—44no—
1446C22⋊C4—42no—
1447C22⋊C4—42no—
1448C22⋊C4C23×C418yes—
1449C22⋊C4C23×C4116yes—
1450C22⋊C4C23×C418yes—
1451C22⋊C4C23×C418yes—
1452C22⋊C4C23×C418yes—
1453C22⋊C4C23×C418yes—
1454C22⋊C4C23×C418yes—
1455C22⋊C4C23×C4116yes—
1456C22⋊C4C23×C4116yes—
1457C22⋊C4C23×C4116yes—
1458C22⋊C4C23×C4116yes—
1459C42—24no—
1460C42—24no—
1461C42—24no—
1462C42—22no—
1463C42—24no—
1464C42—24no—
1465C42—28no—
1466C42—24no—
1467C42—22no—
1468C42—22no—
1469C42—24no—
1470C42—24no—
1471C42—22no—
1472C42—22no—
1473C42—22no—
1474C42—22no—
1475C42—42no—
1476C42—42no—
1477C42—44no—
1478C42—44no—
1479C42—42no—
1480C42—44no—
1481C42—44no—
1482C42—44no—
1483C42—41no—
1484C42—42no—
1485C42—41no—
1486C42—42no—
1487C42—44no—
1488C42—44no—
1489C42—44no—
1490C42—44no—
1491C42—44no—
1492C42—42no—
1493C42—44no—
1494C42—44no—
1495C42—44no—
1496C42—44no—
1497C42—42no—
1498C42—42no—
1499C42—41no—
1500C42—41no—
1501C42C23×C414yes—
1502C42C23×C414yes—
1503C42C23×C414yes—
1504C42C23×C414yes—
1505C42C23×C4116yes—
1506C42C23×C418yes—
1507C42C23×C418yes—
1508C42H(5,𝔽2)14yes—
1509C23—22no—
1510C23—22no—
1511C23—22no—
1512C23—22no—
1513C23—22no—
1514C23—21no—
1515C23—21no—
1516C23—21no—
1517C23—22no—
1518C23—22no—
1519C23—22no—
1520C23—21no—
1521C23—22no—
1522C23—21no—
1523C23—22no—
1524C23—21no—
1525C23—216no—
1526C23—48no—
1527C23—48no—
1528C23—84no—
1529C23—84no—
1530C23—84no—
1531C23—84no—
1532C23C24×C412yes—
1533C23C24×C414yes—
1534C23C24×C414yes—
1535C23C2×2−1+414yes—
1536C23C2×2−1+414yes—
1537C23C2611yescharacteristic
1538Q8—28no—
1539Q8—216no—
1540Q8—28no—
1541Q8—416no—
1542Q8—416no—
1543Q8—48no—
1544Q8—48no—
1545D4—216no—
1546D4—28no—
1547D4#519116yescomplemented
1548C2×C4—22no—
1549C2×C4—22no—
1550C2×C4—24no—
1551C2×C4—22no—
1552C2×C4—22no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—22no—
1559C2×C4—24no—
1560C2×C4—22no—
1561C2×C4—22no—
1562C2×C4—21no—
1563C2×C4—22no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—22no—
1567C2×C4—24no—
1568C2×C4—22no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—22no—
1573C2×C4—22no—
1574C2×C4—24no—
1575C2×C4—21no—
1576C2×C4—28no—
1577C2×C4—28no—
1578C2×C4—216no—
1579C2×C4—216no—
1580C2×C4—22no—
1581C2×C4—22no—
1582C2×C4—22no—
1583C2×C4—22no—
1584C2×C4—22no—
1585C2×C4—24no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—22no—
1589C2×C4—22no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—22no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—22no—
1598C2×C4—22no—
1599C2×C4—22no—
1600C2×C4—22no—
1601C2×C4—22no—
1602C2×C4—22no—
1603C2×C4—24no—
1604C2×C4—24no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—22no—
1610C2×C4—24no—
1611C2×C4—22no—
1612C2×C4—21no—
1613C2×C4—24no—
1614C2×C4—22no—
1615C2×C4—22no—
1616C2×C4—21no—
1617C2×C4—24no—
1618C2×C4—22no—
1619C2×C4—22no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—22no—
1623C2×C4—22no—
1624C2×C4—21no—
1625C2×C4—22no—
1626C2×C4—21no—
1627C2×C4—22no—
1628C2×C4—48no—
1629C2×C4—48no—
1630C2×C4—48no—
1631C2×C4—416no—
1632C2×C4—416no—
1633C2×C4—44no—
1634C2×C4—416no—
1635C2×C4—416no—
1636C2×C4—48no—
1637C2×C4—48no—
1638C2×C4—84no—
1639C2×C4—84no—
1640C2×C4—88no—
1641C2×C4—88no—
1642C2×C4C24×C412yes—
1643C2×C4C24×C412yes—
1644C2×C4C24×C412yes—
1645C2×C4C24×C412yes—
1646C2×C4C24×C418yes—
1647C2×C4C24×C414yes—
1648C2×C4C24×C414yes—
1649C2×C4C24×C418yes—
1650C2×C4C24×C414yes—
1651C2×C4C24×C414yes—
1652C2×C4C24×C414yes—
1653C2×C4C24×C414yes—
1654C2×C4C24×C412yes—
1655C2×C4C24×C412yes—
1656C2×C4C2×H(5,𝔽2)12yes—
1657C2×C4C2×H(5,𝔽2)12yes—
1658C2×C4C2×H(5,𝔽2)12yes—
1659C2×C4C2×2−1+412yes—
1660C2×C4C2×2−1+412yes—
1661C2×C4#58512yes—
1662C22—24no—
1663C22—24no—
1664C22—24no—
1665C22—24no—
1666C22—24no—
1667C22—24no—
1668C22—22no—
1669C22—24no—
1670C22—24no—
1671C22—22no—
1672C22—24no—
1673C22—22no—
1674C22—42no—
1675C22—41no—
1676C22—42no—
1677C22—41no—
1678C22—42no—
1679C22—41no—
1680C22—42no—
1681C22—41no—
1682C22—816no—
1683C22C2×#51918yes—
1684C22C25×C411yescharacteristic
1685C22C22×H(5,𝔽2)11yescharacteristic
1686C22C22×2−1+411yescharacteristic
1687C22C22×2−1+411yescharacteristic
1688C22C2×#58511yescharacteristic
1689C22H(7,𝔽2)11yescharacteristic
1690C222−1+611yescharacteristic
1691C4—22no—
1692C4—22no—
1693C4—24no—
1694C4—24no—
1695C4—24no—
1696C4—28no—
1697C4—24no—
1698C4—24no—
1699C4—28no—
1700C4—24no—
1701C4—22no—
1702C4—22no—
1703C4—22no—
1704C4—22no—
1705C4—42no—
1706C4—42no—
1707C4—42no—
1708C4—41no—
1709C4—42no—
1710C4—42no—
1711C4—44no—
1712C4—41no—
1713C4—42no—
1714C4—41no—
1715C4—41no—
1716C4—42no—
1717C4—41no—
1718C4—41no—
1719C4—44no—
1720C4—42no—
1721C4C2×#51914yes—
1722C4C4×H(5,𝔽2)14yes—
1723C2—28no—
1724C2—44no—
1725C2—42no—
1726C2C22×#51911yescharacteristic
1727C2C2×C4×H(5,𝔽2)11yescharacteristic
1728C2#6265411yescharacteristic
1729C2#6294211yescharacteristic
1730C2#6294411yescharacteristic
1731C2#6295011yescharacteristic
1732C2#6295111yescharacteristic
subgroupG/H
center, Frattini, socle, cosocleC23C26
commutatorC22C25×C4
prime radicalC23×D4C23
LCSG ▷ C22 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
2. #34489C2semidirect
3. #34487C2semidirect
4. #34486C2semidirect
5. #34484C2semidirect
6. #34484C2semidirect
7. #34475C2semidirect
8. #34464C2semidirect
9. #34464C2semidirect
10. #34435C2semidirect
11. #34434C2semidirect
12. #34433C2semidirect
13. #34433C2semidirect
14. #34394C2semidirect
15. #34380C2semidirect
16. #34374C2semidirect
17. #34370C2semidirect
18. #34334C2semidirect
19. #34333C2semidirect
20. #34332C2semidirect
21. #34332C2semidirect
22. #34317C2semidirect
23. #34311C2semidirect
24. #34299C2semidirect
25. #34291C2semidirect
28. #34225C2semidirect
29. #34203C2semidirect
31. C4×#554C2semidirect
32. C4×D4×Q8C2semidirect
34. #34085C2semidirect
35. C2×#2323C2semidirect
36. #3501C4semidirect
52. C2×#519C22semidirect
54. C22×C4×Q8C22semidirect
57. #2382C22semidirect
58. #2382C22semidirect
59. #2381C22semidirect
63. #2378C22semidirect
64. #2378C22semidirect
65. #2378C22semidirect
66. #2378C22semidirect
67. #2378C22semidirect
68. #2378C22semidirect
69. #2371C22semidirect
70. #2370C22semidirect
71. #2370C22semidirect
72. #2370C22semidirect
73. #2370C22semidirect
74. #2370C22semidirect
75. #2370C22semidirect
76. #2369C22semidirect
77. #2369C22semidirect
78. #2369C22semidirect
79. #2369C22semidirect
80. #2368C22semidirect
81. #2368C22semidirect
82. #2368C22semidirect
83. #2368C22semidirect
84. #2365C22semidirect
85. #2365C22semidirect
86. #2365C22semidirect
87. #2365C22semidirect
88. #2365C22semidirect
89. #2365C22semidirect
90. #2365C22semidirect
95. #2362C22semidirect
96. #2362C22semidirect
97. #2362C22semidirect
98. #2362C22semidirect
99. #2362C22semidirect
100. #2362C22semidirect
101. #2362C22semidirect
102. #2362C22semidirect
103. #2360C22semidirect
104. #2360C22semidirect
105. #2360C22semidirect
106. #2360C22semidirect
107. #2360C22semidirect
108. #2360C22semidirect
109. #2360C22semidirect
110. #2360C22semidirect
111. #2360C22semidirect
112. #2360C22semidirect
115. #2356C22semidirect
116. #2356C22semidirect
117. #2355C22semidirect
118. #2355C22semidirect
119. #2355C22semidirect
134. #2351C22semidirect
135. #2351C22semidirect
136. Q8×C4⋊C4C22semidirect
137. Q8×C4⋊C4C22semidirect
138. Q8×C4⋊C4C22semidirect
152. #2345C22semidirect
153. #2345C22semidirect
154. #2345C22semidirect
155. #2345C22semidirect
158. #2344C22semidirect
159. #2344C22semidirect
160. #2344C22semidirect
161. #2344C22semidirect
169. Q8×C22⋊C4C22semidirect
170. Q8×C22⋊C4C22semidirect
171. Q8×C22⋊C4C22semidirect
172. Q8×C22⋊C4C22semidirect
176. #2336C22semidirect
177. #2336C22semidirect
178. #2336C22semidirect
179. #2336C22semidirect
184. #2332C22semidirect
185. #2332C22semidirect
186. #2332C22semidirect
187. #2332C22semidirect
188. #2331C22semidirect
189. #2331C22semidirect
190. #2331C22semidirect
191. #2331C22semidirect
192. #2331C22semidirect
193. #2330C22semidirect
194. #2330C22semidirect
195. #2330C22semidirect
196. #2330C22semidirect
197. #2329C22semidirect
198. #2329C22semidirect
199. #2329C22semidirect
200. #2329C22semidirect
201. #2329C22semidirect
202. #2329C22semidirect
203. #2327C22semidirect
204. #2327C22semidirect
205. #2327C22semidirect
219. #2323C22semidirect
220. #2323C22semidirect
221. #2323C22semidirect
222. #2323C22semidirect
223. #2323C22semidirect
224. #2323C22semidirect
225. #2323C22semidirect
226. #2323C22semidirect
227. #2323C22semidirect
228. #2323C22semidirect
229. #2320C22semidirect
230. #2320C22semidirect
237. #2316C22semidirect
238. #2316C22semidirect
241. #2313C22semidirect
244. #2310C22semidirect
245. C4×C4⋊Q8C22semidirect
246. C4×C4⋊Q8C22semidirect
247. C4×C4⋊Q8C22semidirect
248. C4×C4⋊Q8C22semidirect
249. C4×C4⋊Q8C22semidirect
250. C4×C4⋊Q8C22semidirect
251. C4×#125C22semidirect
252. C4×#125C22semidirect
253. C4×C22⋊Q8C22semidirect
254. C4×C22⋊Q8C22semidirect
255. C4×C22⋊Q8C22semidirect
256. C4×C22⋊Q8C22semidirect
257. C4×C22⋊Q8C22semidirect
258. C4×C22⋊Q8C22semidirect
259. C4×C22⋊Q8C22semidirect
260. C4×C22⋊Q8C22semidirect
263. #2295C22semidirect
264. #2295C22semidirect
265. #2295C22semidirect
266. #2295C22semidirect
267. C2×#391C22semidirect
272. C2×#389C22semidirect
273. C2×#389C22semidirect
280. C2×#387C22semidirect
287. #2276C22semidirect
291. #2274C22semidirect
292. C42×Q8C22semidirect
293. C42×Q8C22semidirect
299. C2×C4×C4⋊C4C22semidirect
306. #554C2×C4semidirect
307. #554C2×C4semidirect
308. #554C2×C4semidirect
309. #554C2×C4semidirect
311. D4×Q8C2×C4semidirect
312. D4×Q8C2×C4semidirect
313. #544C2×C4semidirect
314. #543C2×C4semidirect
315. #533C2×C4semidirect
316. #533C2×C4semidirect
329. C2×C22⋊Q8C2×C4semidirect
330. C2×C22⋊Q8C2×C4semidirect
1547. D4#519semidirect

Maximal subgroups

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

subgroupindex
C2×#35012
#344892
#344872
#344862
#344842
#344752
#344642
#344352
#344342
#344332
#343942
#343802
#343742
#343702
#343342
#343332
#343322
#343172
#343112
#342992
#342912
#342612
#342252
#342032
#341942
C4×#5542
C4×D4×Q82
D4×#1172
#340852
C2×#23232