Finite Group Databasebeta

← #7627201

Subgroups — #7627201

Order 512.

7238 conjugacy classes of subgroups.

The subgroup lattice has 1793 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3548C211yesmaximal, characteristic
2#34515C214yesmaximal, complemented
3#34513C214yesmaximal, complemented
4#34494C211yesmaximal, characteristic, complemented
5#34494C212yesmaximal, complemented
6#34489C212yesmaximal, complemented
7#34484C211yesmaximal, characteristic, complemented
8#34473C212yesmaximal, complemented
9#34460C212yesmaximal, complemented
10#34436C214yesmaximal, complemented
11#34431C212yesmaximal, complemented
12#34431C212yesmaximal, complemented
13#34414C212yesmaximal, complemented
14#34410C212yesmaximal, complemented
15#34410C214yesmaximal, complemented
16#34367C211yesmaximal, characteristic, complemented
17#34333C212yesmaximal, complemented
18#34332C211yesmaximal, characteristic, complemented
19#34330C212yesmaximal, complemented
20#34330C211yesmaximal, characteristic, complemented
21#34317C211yesmaximal, characteristic, complemented
22#34313C211yesmaximal, characteristic, complemented
23#34298C212yesmaximal, complemented
24#34289C212yesmaximal, complemented
25#34287C212yesmaximal, complemented
26#34287C212yesmaximal, complemented
27#34267C212yesmaximal, complemented
28#34236C211yesmaximal, characteristic, complemented
29#34226C211yesmaximal, characteristic, complemented
30#34213C211yesmaximal, characteristic, complemented
31C4×#554C211yesmaximal, characteristic, complemented
32C4×#550C211yesmaximal, characteristic, complemented
33#34141C211yesmaximal, characteristic, complemented
34C4×#537C212yesmaximal, complemented
35#34085C211yesmaximal, characteristic, complemented
36#3548C4132yescomplemented
37C2×#562C2214yes—
38C2×#554C2211yescharacteristic
39C2×#554C2212yes—
40C2×#554C2211yescharacteristic
41C2×#550C2211yescharacteristic
42C2×#550C2212yes—
43C2×#550C2211yescharacteristic
44C2×#547C2212yes—
45C2×#547C2212yes—
46C2×#540C2212yes—
47C2×#540C2212yes—
48C2×#537C2212yes—
49C2×#537C2214yes—
50C2×#537C2212yes—
51C2×#533C2211yescharacteristic
52C2×#532C2211yescharacteristic
53C2×#532C2211yescharacteristic
54C2×#520C2212yes—
55C2×C4×#41C2212yes—
56C2×C4×#41C2212yes—
57#2378C2214yes—
58#2378C2214yes—
59#2378C2214yes—
60#2377C2214yes—
61#2377C2214yes—
62#2377C2214yes—
63#2377C2214yes—
64#2377C2214yes—
65#2377C2214yes—
66#2376C2214yes—
67#2376C2214yes—
68#2374C2214yes—
69#2374C2214yes—
70#2370C2212yes—
71#2370C2212yes—
72#2370C2212yes—
73#2370C2214yes—
74#2370C2212yes—
75#2369C2211yescharacteristic
76#2369C2211yescharacteristic
77#2369C2212yes—
78#2368C2214yes—
79#2368C2214yes—
80#2368C2214yes—
81#2367C2212yes—
82#2367C2212yes—
83#2367C2212yes—
84#2367C2212yes—
85#2366C2211yescharacteristic
86#2366C2212yes—
87#2366C2211yescharacteristic
88#2366C2212yes—
89#2366C2211yescharacteristic
90#2366C2212yes—
91#2366C2211yescharacteristic
92#2366C2212yes—
93#2365C2211yescharacteristic
94#2365C2211yescharacteristic
95#2365C2212yes—
96#2364C2214yes—
97#2364C2214yes—
98#2364C2214yes—
99#2364C2212yes—
100#2364C2212yes—
101#2364C2214yes—
102#2364C2214yes—
103#2363C2214yes—
104#2363C2212yes—
105#2363C2212yes—
106#2363C2212yes—
107#2363C2214yes—
108#2363C2212yes—
109#2363C2214yes—
110#2363C2214yes—
111#2363C2212yes—
112#2363C2212yes—
113#2362C2214yes—
114#2362C2212yes—
115#2362C2212yes—
116#2362C2214yes—
117#2361C2212yes—
118#2361C2214yes—
119#2361C2211yescharacteristic
120#2361C2211yescharacteristic
121#2361C2211yescharacteristic
122#2361C2211yescharacteristic
123#2361C2214yes—
124#2361C2212yes—
125#2361C2212yes—
126#2361C2214yes—
127#2361C2212yes—
128#2361C2214yes—
129#2360C2214yes—
130#2360C2212yes—
131#2360C2214yes—
132#2360C2212yes—
133#2359C2214yes—
134#2359C2214yes—
135#2359C2214yes—
136#2359C2214yes—
137#2357C2212yes—
138#2357C2212yes—
139#2357C2212yes—
140#2357C2212yes—
141#2355C2211yescharacteristic
142#2355C2212yes—
143#2355C2211yescharacteristic
144#2355C2212yes—
145#2354C2211yescharacteristic
146#2354C2212yes—
147#2354C2211yescharacteristic
148#2354C2212yes—
149#2352C2212yes—
150#2352C2212yes—
151Q8×C4⋊C4C2211yescharacteristic
152Q8×C4⋊C4C2211yescharacteristic
153#2349C2212yes—
154#2349C2212yes—
155#2349C2212yes—
156#2349C2212yes—
157D4×C4⋊C4C2211yescharacteristic
158D4×C4⋊C4C2212yes—
159D4×C4⋊C4C2212yes—
160D4×C4⋊C4C2211yescharacteristic
161#2345C2212yes—
162#2345C2214yes—
163#2345C2212yes—
164#2344C2212yes—
165#2344C2214yes—
166#2344C2212yes—
167#2341C2212yes—
168#2341C2212yes—
169#2341C2212yes—
170#2339C2212yes—
171#2339C2214yes—
172#2339C2214yes—
173#2339C2212yes—
174#2339C2212yes—
175#2339C2214yes—
176#2337C2214yes—
177#2337C2214yes—
178#2336C2212yes—
179#2336C2212yes—
180#2335C2214yes—
181#2335C2214yes—
182#2335C2214yes—
183#2335C2214yes—
184#2333C2214yes—
185#2333C2214yes—
186#2333C2214yes—
187#2333C2214yes—
188#2333C2214yes—
189#2332C2214yes—
190#2332C2212yes—
191#2332C2212yes—
192#2332C2214yes—
193#2332C2214yes—
194#2331C2212yes—
195#2331C2211yescharacteristic
196#2331C2211yescharacteristic
197#2330C2212yes—
198#2330C2212yes—
199#2329C2214yes—
200#2329C2214yes—
201#2329C2214yes—
202#2329C2214yes—
203#2328C2212yes—
204#2328C2212yes—
205#2328C2212yes—
206#2327C2211yescharacteristic
207#2327C2211yescharacteristic
208#2325C2214yes—
209#2325C2214yes—
210#2325C2214yes—
211#2325C2214yes—
212#2325C2214yes—
213#2324C2212yes—
214#2324C2214yes—
215#2324C2214yes—
216#2324C2212yes—
217#2324C2214yes—
218#2324C2212yes—
219#2324C2214yes—
220#2324C2212yes—
221#2323C2212yes—
222#2323C2211yescharacteristic
223#2323C2211yescharacteristic
224#2323C2211yescharacteristic
225#2323C2211yescharacteristic
226#2323C2214yes—
227#2323C2214yes—
228#2323C2212yes—
229#2322C2214yes—
230#2322C2214yes—
231#2319C2212yes—
232#2319C2212yes—
233#2319C2212yes—
234#2319C2212yes—
235#2317C2212yes—
236#2316C2212yes—
237#2313C2214yes—
238#2311C2212yes—
239#2311C2212yes—
240#2311C2212yes—
241#2311C2214yes—
242C4×C4⋊Q8C2211yescharacteristic
243C4×C4⋊Q8C2211yescharacteristic
244C4×#127C2212yes—
245C4×#127C2211yescharacteristic
246C4×#127C2211yescharacteristic
247C4×#127C2212yes—
248C4×#125C2212yes—
249C4×#125C2212yes—
250C4×C22⋊Q8C2212yes—
251C4×C22⋊Q8C2214yes—
252C4×C22⋊Q8C2212yes—
253C4×C22⋊Q8C2214yes—
254C4×C22⋊Q8C2212yes—
255C4×C22⋊Q8C2212yes—
256C4×#123C2214yes—
257C4×#123C2214yes—
258C4×#121C2212yes—
259C4×#121C2214yes—
260C4×#121C2212yes—
261C4×#121C2214yes—
262C4×#121C2214yes—
263C4×#121C2212yes—
264C4×#121C2214yes—
265C4×#121C2212yes—
266#2298C2212yes—
267#2298C2212yes—
268#2297C2214yes—
269#2297C2212yes—
270#2297C2212yes—
271#2295C2211yescharacteristic
272#2295C2212yes—
273#2295C2211yescharacteristic
274#2295C2212yes—
275#2293C2211yescharacteristic
276#2293C2212yes—
277#2293C2212yes—
278#2293C2211yescharacteristic
279C2×#389C2212yes—
280#2290C2212yes—
281#2290C2212yes—
282C2×#387C2214yes—
283#2285C2211yescharacteristic
284#2283C2211yescharacteristic
285#2275C2212yes—
286#2275C2212yes—
287#2275C2212yes—
288#2275C2212yes—
289#2274C2212yes—
290#2274C2212yes—
291C42×Q8C2211yescharacteristic
292C42×Q8C2211yescharacteristic
293C42×D4C2211yescharacteristic
294C42×D4C2212yes—
295C42×D4C2212yes—
296C42×D4C2211yescharacteristic
297C4×#117C2211yescharacteristic
298C2×C4×C4⋊C4C2212yes—
299C2×C4×C4⋊C4C2211yescharacteristic
300C22×#41C2312yes—
301C22×#41C2312yes—
302C22×#41C2312yes—
303C22×#41C2314yes—
304C22×#41C2312yes—
305#562C2×C4164yescomplemented
306#554C2×C4116yescomplemented
307#554C2×C4132yescomplemented
308#554C2×C4116yescomplemented
309#550C2×C4116yescomplemented
310#550C2×C4116yescomplemented
311#550C2×C4132yescomplemented
312#547C2×C4132yescomplemented
313#547C2×C4132yescomplemented
314#540C2×C4132yescomplemented
315#540C2×C4132yescomplemented
316#537C2×C4132yescomplemented
317#537C2×C4132yescomplemented
318#537C2×C4164yescomplemented
319#533C2×C4116yescomplemented
320#532C2×C4116yescomplemented
321#532C2×C4116yescomplemented
322C2×C4⋊Q8C2311yescharacteristic
323C2×C4⋊Q8C2311yescharacteristic
324C2×C4⋊Q8C2311yescharacteristic
325C2×C4⋊Q8C2311yescharacteristic
326C2×#127C2311yescharacteristic
327C2×#127C2312yes—
328C2×#127C2312yes—
329C2×#127C2311yescharacteristic
330C2×#125C2312yes—
331C2×#125C2312yes—
332C2×#125C2312yes—
333C2×#124C2312yes—
334C2×#124C2312yes—
335C2×#123C2314yes—
336C2×#123C2314yes—
337C2×#123C2314yes—
338C2×#123C2314yes—
339C2×C22⋊Q8C2311yescharacteristic
340C2×C22⋊Q8C2311yescharacteristic
341C2×C22⋊Q8C2312yes—
342C2×C22⋊Q8C2312yes—
343C2×C22⋊Q8C2314yes—
344C2×C22⋊Q8C2314yes—
345C2×C22⋊Q8C2312yes—
346C2×C22⋊Q8C2314yes—
347C2×C22⋊Q8C2314yes—
348C2×C22⋊Q8C2314yes—
349C2×#121C2312yes—
350C2×#121C2314yes—
351C2×#121C2314yes—
352C2×#121C2314yes—
353C2×#121C2314yes—
354C2×#121C2312yes—
355C2×#121C2312yes—
356C2×#121C2314yes—
357C2×#121C2314yes—
358C2×#121C2314yes—
359C2×#121C2311yescharacteristic
360C2×#121C2311yescharacteristic
361C2×#121C2312yes—
362C2×#121C2314yes—
363C2×#121C2314yes—
364C2×#121C2312yes—
365#520—48no—
366C4×#41—48no—
367C4×#41—48no—
368C2×C4×Q8C2311yescharacteristic
369C2×C4×Q8C2311yescharacteristic
370C2×C4×Q8C2312yes—
371C2×C4×Q8C2311yescharacteristic
372C2×C4×Q8C2311yescharacteristic
373C2×C4×Q8C2312yes—
374C2×C4×Q8C2312yes—
375C2×C4×Q8C2312yes—
376C2×C4×Q8C2312yes—
377C2×C4×Q8C2312yes—
378C2×C4×Q8C2311yescharacteristic
379C2×C4×Q8C2311yescharacteristic
380C2×C4×Q8C2312yes—
381C2×C4×D4C2312yes—
382C2×C4×D4C2311yescharacteristic
383C2×C4×D4C2311yescharacteristic
384C2×C4×D4C2312yes—
385C2×C4×D4C2312yes—
386C2×C4×D4C2311yescharacteristic
387C2×C4×D4C2314yes—
388C2×C4×D4C2312yes—
389C2×C4×D4C2314yes—
390C2×C4×D4C2312yes—
391C2×C4×D4C2312yes—
392C2×C4×D4C2312yes—
393C2×C4×D4C2312yes—
394C2×C4×D4C2312yes—
395C2×C4×D4C2312yes—
396C2×C4×D4C2312yes—
397C2×C4×D4C2314yes—
398C2×C4×D4C2311yescharacteristic
399C2×C4×D4C2312yes—
400C2×C4×D4C2312yes—
401C2×C4×D4C2314yes—
402C2×C4×D4C2312yes—
403C2×C4×D4C2312yes—
404C2×C4×D4C2312yes—
405C2×C4×D4C2314yes—
406C2×C4×D4C2312yes—
407C2×C4×D4C2314yes—
408C2×C4×D4C2312yes—
409C2×C4×D4C2314yes—
410C2×C4×D4C2314yes—
411C2×C4×D4C2314yes—
412C2×C4×D4C2314yes—
413C2×C4×D4C2312yes—
414C2×C4×D4C2312yes—
415C2×C4×D4C2312yes—
416C2×C4×D4C2312yes—
417C2×C4×D4C2311yescharacteristic
418C2×C4×D4C2311yescharacteristic
419C2×C4×D4C2312yes—
420C2×C4×D4C2312yes—
421C2×C4×D4C2312yes—
422C2×#117C2311yescharacteristic
423C2×#117C2312yes—
424C2×#117C2312yes—
425C2×#117C2312yes—
426C2×#117C2312yes—
427C2×#117C2312yes—
428C2×#117C2311yescharacteristic
429C2×#117C2314yes—
430C2×#117C2314yes—
431C2×#117C2314yes—
432C2×#117C2314yes—
433C2×#117C2312yes—
434C22×C4⋊C4C2311yescharacteristic
435C22×C4⋊C4C2312yes—
436C22×C4⋊C4C2312yes—
437C22×C4⋊C4C2311yescharacteristic
438C22×C4⋊C4C2314yes—
439C22×C4⋊C4C2314yes—
440C22×C4⋊C4C2314yes—
441C22×C4⋊C4C2312yes—
442C22×C4⋊C4C2312yes—
443C22×C42C2312yes—
444C22×C42C2312yes—
445C22×C42C2314yes—
446C22×C42C2312yes—
447C22×C42C2314yes—
448C22×C42C2311yescharacteristic
449#391C2312yes—
450#391C2312yes—
451#391C2311yescharacteristic
452#391C2312yes—
453#391C2314yes—
454#391C2312yes—
455#391C2314yes—
456#391C2314yes—
457#391C2311yescharacteristic
458#391C2311yescharacteristic
459#391C2311yescharacteristic
460#391C2314yes—
461#391C2314yes—
462#391C2312yes—
463#391C2314yes—
464#391C2312yes—
465#391C2312yes—
466#391C2312yes—
467#391C2312yes—
468#391C2312yes—
469#390C2312yes—
470#390C2311yescharacteristic
471#390C2312yes—
472#390C2314yes—
473#390C2312yes—
474#390C2312yes—
475#390C2312yes—
476#390C2312yes—
477#390C2314yes—
478#390C2312yes—
479#390C2314yes—
480#390C2314yes—
481#390C2312yes—
482#390C2314yes—
483#390C2314yes—
484#390C2312yes—
485#390C2314yes—
486#390C2311yescharacteristic
487#390C2312yes—
488#390C2314yes—
489#390C2314yes—
490#390C2314yes—
491#390C2312yes—
492#390C2311yescharacteristic
493#390C2312yes—
494#390C2314yes—
495#390C2312yes—
496#390C2314yes—
497#390C2312yes—
498#390C2311yescharacteristic
499#389C2311yescharacteristic
500#389C2312yes—
501#389C2312yes—
502#389C2312yes—
503#389C2312yes—
504#389C2312yes—
505#389C2312yes—
506#389C2311yescharacteristic
507#389C2314yes—
508#389C2312yes—
509#389C2314yes—
510#389C2312yes—
511#389C2314yes—
512#389C2314yes—
513#389C2311yescharacteristic
514#389C2312yes—
515#389C2314yes—
516#389C2312yes—
517#389C2314yes—
518#389C2314yes—
519#389C2312yes—
520#389C2311yescharacteristic
521#389C2314yes—
522#389C2311yescharacteristic
523#389C2311yescharacteristic
524#389C2312yes—
525#389C2312yes—
526#389C2314yes—
527#389C2314yes—
528#389C2314yes—
529#389C2314yes—
530#389C2311yescharacteristic
531#389C2312yes—
532#389C2312yes—
533#389C2312yes—
534#389C2311yescharacteristic
535#388C2314yes—
536#388C2314yes—
537#388C2314yes—
538#388C2314yes—
539#388C2314yes—
540#388C2314yes—
541#388C2314yes—
542#388C2314yes—
543#388C2314yes—
544#388C2314yes—
545#388C2314yes—
546#388C2312yes—
547#388C2312yes—
548#388C2314yes—
549#388C2312yes—
550#388C2314yes—
551#388C2314yes—
552#388C2312yes—
553#388C2314yes—
554#388C2312yes—
555#388C2314yes—
556#388C2312yes—
557#388C2312yes—
558#388C2312yes—
559#388C2312yes—
560#388C2314yes—
561#388C2314yes—
562#388C2312yes—
563#388C2314yes—
564#388C2314yes—
565#388C2312yes—
566#388C2314yes—
567#388C2312yes—
568#388C2314yes—
569#388C2314yes—
570#388C2314yes—
571#388C2314yes—
572#388C2314yes—
573#388C2314yes—
574#388C2312yes—
575#388C2312yes—
576#388C2312yes—
577#388C2314yes—
578#388C2312yes—
579#387C2314yes—
580#387C2314yes—
581#387C2314yes—
582#387C2314yes—
583#387C2312yes—
584#387C2312yes—
585#387C2314yes—
586#387C2314yes—
587#387C2314yes—
588#387C2314yes—
589#387C2314yes—
590#387C2312yes—
591#387C2312yes—
592#387C2312yes—
593#387C2312yes—
594#387C2314yes—
595#387C2312yes—
596#387C2314yes—
597#387C2312yes—
598#387C2312yes—
599#387C2312yes—
600#387C2312yes—
601#387C2314yes—
602#387C2314yes—
603#387C2312yes—
604#387C2312yes—
605#387C2312yes—
606#387C2312yes—
607#387C2312yes—
608#387C2312yes—
609#387C2314yes—
610#387C2314yes—
611#387C2314yes—
612#387C2314yes—
613#387C2314yes—
614#387C2314yes—
615#387C2314yes—
616#387C2314yes—
617#387C2314yes—
618#387C2312yes—
619#387C2312yes—
620#387C2312yes—
621#387C2314yes—
622#387C2312yes—
623#387C2312yes—
624#387C2312yes—
625#387C2314yes—
626#387C2312yes—
627#386C2312yes—
628#386C2314yes—
629#386C2314yes—
630#386C2314yes—
631#386C2314yes—
632#386C2314yes—
633#386C2314yes—
634#386C2314yes—
635#386C2314yes—
636#386C2314yes—
637#386C2314yes—
638#386C2312yes—
639#386C2314yes—
640#386C2314yes—
641#386C2314yes—
642#386C2314yes—
643#386C2314yes—
644#386C2314yes—
645#386C2314yes—
646#386C2314yes—
647#386C2312yes—
648#386C2312yes—
649#386C2314yes—
650#386C2314yes—
651#386C2314yes—
652#386C2314yes—
653#386C2312yes—
654#386C2314yes—
655#386C2314yes—
656#386C2312yes—
657#386C2312yes—
658#386C2314yes—
659#386C2314yes—
660#386C2314yes—
661#386C2314yes—
662#386C2312yes—
663#385C2314yes—
664#385C2314yes—
665#385C2314yes—
666#385C2312yes—
667#385C2312yes—
668#385C2314yes—
669#385C2314yes—
670#385C2314yes—
671#385C2314yes—
672#385C2314yes—
673#385C2314yes—
674#385C2314yes—
675#385C2314yes—
676#385C2314yes—
677#385C2314yes—
678#385C2314yes—
679#385C2314yes—
680#385C2312yes—
681#385C2314yes—
682#385C2312yes—
683#384C2311yescharacteristic
684#384C2311yescharacteristic
685#384C2312yes—
686#384C2312yes—
687#383C2312yes—
688#382C2312yes—
689#382C2312yes—
690#382C2311yescharacteristic
691#382C2311yescharacteristic
692#382C2312yes—
693#381C2314yes—
694#381C2314yes—
695#381C2314yes—
696#381C2314yes—
697#381C2314yes—
698#381C2314yes—
699#381C2312yes—
700#380C2311yescharacteristic
701#380C2311yescharacteristic
702#380C2312yes—
703#380C2314yes—
704#380C2314yes—
705#380C2314yes—
706#380C2314yes—
707#380C2312yes—
708#380C2312yes—
709#380C2312yes—
710#380C2312yes—
711#380C2314yes—
712#380C2314yes—
713#380C2314yes—
714#380C2314yes—
715#380C2314yes—
716#380C2314yes—
717#380C2312yes—
718C4×C4⋊C4C2311yescharacteristic
719C4×C4⋊C4C2312yes—
720C4×C4⋊C4C2314yes—
721C4×C4⋊C4C2314yes—
722C4×C4⋊C4C2312yes—
723C4×C4⋊C4C2312yes—
724C4×C4⋊C4C2314yes—
725C4×C4⋊C4C2314yes—
726C4×C4⋊C4C2312yes—
727C4×C4⋊C4C2312yes—
728C4×C4⋊C4C2312yes—
729C4×C4⋊C4C2311yescharacteristic
730C4×C4⋊C4C2312yes—
731C4×C4⋊C4C2312yes—
732C4×C4⋊C4C2312yes—
733C4×C4⋊C4C2311yescharacteristic
734C4×C4⋊C4C2311yescharacteristic
735C4×C4⋊C4C2311yescharacteristic
736C4×C4⋊C4C2311yescharacteristic
737C4×C4⋊C4C2314yes—
738C4×C4⋊C4C2312yes—
739C4×C4⋊C4C2312yes—
740C4×C4⋊C4C2314yes—
741C4×C4⋊C4C2312yes—
742C4×C4⋊C4C2311yescharacteristic
743C4×C4⋊C4C2312yes—
744C4×C4⋊C4C2312yes—
745C4×C4⋊C4C2312yes—
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2314yes—
748C4×C4⋊C4C2314yes—
749C4×C4⋊C4C2314yes—
750C4×C4⋊C4C2311yescharacteristic
751C4×C4⋊C4C2311yescharacteristic
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2314yes—
757C4×C4⋊C4C2311yescharacteristic
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2311yescharacteristic
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2311yescharacteristic
763C4×C4⋊C4C2311yescharacteristic
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2314yes—
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⋊C4C2312yes—
782C4×C22⋊C4C2314yes—
783C4×C22⋊C4C2314yes—
784C4×C22⋊C4C2314yes—
785C4×C22⋊C4C2314yes—
786C4×C22⋊C4C2314yes—
787C4×C22⋊C4C2311yescharacteristic
788C4×C22⋊C4C2311yescharacteristic
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2314yes—
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⋊C4C2314yes—
800C4×C22⋊C4C2314yes—
801C4×C22⋊C4C2314yes—
802C4×C22⋊C4C2314yes—
803C4×C22⋊C4C2314yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2314yes—
809C4×C22⋊C4C2314yes—
810C4×C22⋊C4C2311yescharacteristic
811C4×C22⋊C4C2311yescharacteristic
812C4×C22⋊C4C2312yes—
813C4×C22⋊C4C2312yes—
814C4×C22⋊C4C2312yes—
815#376C2311yescharacteristic
816#376C2312yes—
817#376C2312yes—
818#376C2312yes—
819#376C2311yescharacteristic
820C2×#95C2314yes—
821C2×#95C2314yes—
822C2×#95C2314yes—
823C2×#95C2312yes—
824C2×#95C2314yes—
825C2×#95C2314yes—
826C2×#95C2314yes—
827C43C2312yes—
828C43C2312yes—
829C43C2311yescharacteristic
830C43C2311yescharacteristic
831C2×#41—44no—
832C2×#41—44no—
833C2×#41—44no—
834C2×#41—44no—
835C2×#41—44no—
836C2×#41—44no—
837C2×#41—84no—
838C2×#41—84no—
839C2×#41—82no—
840C2×#41—82no—
841C2×#41C22×C4116yes—
842C2×#41C22×C4116yes—
843C2×#41C22×C4116yes—
844C2×#41C22×C4116yes—
845C2×#41C22×C4132yes—
846C22×Q8C2411yescharacteristic
847C22×Q8C2411yescharacteristic
848C22×Q8C2412yes—
849C22×Q8C2412yes—
850C22×Q8C2412yes—
851C22×D4C2411yescharacteristic
852C22×D4C2412yes—
853C22×D4C2411yescharacteristic
854C22×D4C2412yes—
855C22×D4C2412yes—
856C22×D4C2412yes—
857C22×D4C2414yes—
858C22×D4C2414yes—
859C22×D4C2414yes—
860C22×D4C2414yes—
861C22×D4C2414yes—
862C22×D4C2412yes—
863C22×D4C2412yes—
864C22×D4C2412yes—
865C23×C4C2412yes—
866C23×C4C2411yescharacteristic
867C23×C4C2412yes—
868C23×C4C2412yes—
869C23×C4C2411yescharacteristic
870C23×C4C2414yes—
871C23×C4C2412yes—
872C23×C4C2412yes—
873C23×C4C2414yes—
874C23×C4C2412yes—
875C23×C4C2414yes—
876C23×C4C2412yes—
877C23×C4C2414yes—
878C23×C4C2412yes—
879C23×C4C2414yes—
880C23×C4C2414yes—
881C23×C4C2414yes—
882C23×C4C2414yes—
883C23×C4C2414yes—
884C23×C4C2414yes—
885C23×C4C2414yes—
886C23×C4C2411yescharacteristic
887C4⋊Q8C22×C418yes—
888C4⋊Q8C22×C418yes—
889C4⋊Q8C22×C418yes—
890C4⋊Q8C22×C418yes—
891#127C22×C418yes—
892#127C22×C418yes—
893#127C22×C4116yes—
894#127C22×C4116yes—
895#125C22×C4116yes—
896#125C22×C4116yes—
897#125C22×C4116yes—
898#124C22×C4116yes—
899#124C22×C4116yes—
900#123C22×C4132yes—
901#123C22×C4132yes—
902#123C22×C4132yes—
903#123C22×C4132yes—
904C22⋊Q8C22×C418yes—
905C22⋊Q8C22×C418yes—
906C22⋊Q8C22×C4116yes—
907C22⋊Q8C22×C4116yes—
908C22⋊Q8C22×C4116yes—
909C22⋊Q8C22×C4132yes—
910C22⋊Q8C22×C4132yes—
911C22⋊Q8C22×C4132yes—
912C22⋊Q8C22×C4132yes—
913C22⋊Q8C22×C4132yes—
914#121C22×C4116yes—
915#121C22×C4116yes—
916#121C22×C418yes—
917#121C22×C418yes—
918#121C22×C4116yes—
919#121C22×C4132yes—
920#121C22×C4132yes—
921#121C22×C4132yes—
922#121C22×C4132yes—
923#121C22×C4116yes—
924#121C22×C4116yes—
925#121C22×C4132yes—
926#121C22×C4132yes—
927#121C22×C4132yes—
928#121C22×C4132yes—
929#121C22×C4132yes—
930C4×Q8—24no—
931C4×Q8—24no—
932C4×Q8—44no—
933C4×Q8—44no—
934C4×Q8—42no—
935C4×Q8—42no—
936C4×Q8—44no—
937C4×Q8—44no—
938C4×Q8—82no—
939C4×Q8—82no—
940C4×Q8C22×C418yes—
941C4×Q8C22×C418yes—
942C4×Q8C22×C4116yes—
943C4×D4—24no—
944C4×D4—24no—
945C4×D4—28no—
946C4×D4—28no—
947C4×D4—44no—
948C4×D4—44no—
949C4×D4—48no—
950C4×D4—44no—
951C4×D4—42no—
952C4×D4—42no—
953C4×D4—44no—
954C4×D4—44no—
955C4×D4—44no—
956C4×D4—44no—
957C4×D4—44no—
958C4×D4—44no—
959C4×D4—44no—
960C4×D4—48no—
961C4×D4—44no—
962C4×D4—44no—
963C4×D4—44no—
964C4×D4—44no—
965C4×D4—48no—
966C4×D4—48no—
967C4×D4—84no—
968C4×D4—84no—
969C4×D4—84no—
970C4×D4—84no—
971C4×D4—84no—
972C4×D4—84no—
973C4×D4—82no—
974C4×D4—82no—
975C4×D4C22×C4116yes—
976C4×D4C22×C4116yes—
977C4×D4C22×C418yes—
978C4×D4C22×C418yes—
979C4×D4C22×C4116yes—
980C4×D4C22×C4116yes—
981C4×D4C22×C4116yes—
982C4×D4C22×C4116yes—
983C4×D4C22×C4116yes—
984#117—24no—
985#117—28no—
986#117—42no—
987#117—44no—
988#117—48no—
989#117—48no—
990#117—44no—
991#117—44no—
992#117—44no—
993#117—84no—
994#117—84no—
995#117C22×C4116yes—
996C2×C4⋊C4—24no—
997C2×C4⋊C4—44no—
998C2×C4⋊C4—42no—
999C2×C4⋊C4—48no—
1000C2×C4⋊C4—44no—
1001C2×C4⋊C4—84no—
1002C2×C4⋊C4C22×C4116yes—
1003C2×C4⋊C4C22×C4116yes—
1004C2×C4⋊C4C22×C4132yes—
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2411yescharacteristic
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2411yescharacteristic
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2411yescharacteristic
1012C2×C4⋊C4C2411yescharacteristic
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2411yescharacteristic
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2411yescharacteristic
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2411yescharacteristic
1019C2×C4⋊C4C2411yescharacteristic
1020C2×C4⋊C4C2411yescharacteristic
1021C2×C4⋊C4C2412yes—
1022C2×C4⋊C4C2412yes—
1023C2×C4⋊C4C2414yes—
1024C2×C4⋊C4C2412yes—
1025C2×C4⋊C4C2414yes—
1026C2×C4⋊C4C2414yes—
1027C2×C4⋊C4C2414yes—
1028C2×C4⋊C4C2414yes—
1029C2×C4⋊C4C2414yes—
1030C2×C4⋊C4C2412yes—
1031C2×C4⋊C4C2412yes—
1032C2×C4⋊C4C2412yes—
1033C2×C4⋊C4C2412yes—
1034C2×C4⋊C4C2414yes—
1035C2×C4⋊C4C2414yes—
1036C2×C4⋊C4C2414yes—
1037C2×C4⋊C4C2414yes—
1038C2×C4⋊C4C2411yescharacteristic
1039C2×C4⋊C4C2411yescharacteristic
1040C2×C4⋊C4C2412yes—
1041C2×C4⋊C4C2412yes—
1042C2×C4⋊C4C2412yes—
1043C2×C4⋊C4C2412yes—
1044C2×C4⋊C4C2412yes—
1045C2×C4⋊C4C2412yes—
1046C2×C4⋊C4C2412yes—
1047C2×C4⋊C4C2412yes—
1048C2×C4⋊C4C2411yescharacteristic
1049C2×C4⋊C4C2411yescharacteristic
1050C2×C4⋊C4C2412yes—
1051C2×C4⋊C4C2414yes—
1052C2×C4⋊C4C2414yes—
1053C2×C4⋊C4C2414yes—
1054C2×C4⋊C4C2414yes—
1055C2×C4⋊C4C2412yes—
1056C2×C4⋊C4C2412yes—
1057C2×C4⋊C4C2411yescharacteristic
1058C2×C4⋊C4C2412yes—
1059C2×C4⋊C4C2411yescharacteristic
1060C2×C4⋊C4C2412yes—
1061C2×C4⋊C4C2412yes—
1062C2×C4⋊C4C2412yes—
1063C2×C4⋊C4C2412yes—
1064C2×C4⋊C4C2411yescharacteristic
1065C2×C22⋊C4C2414yes—
1066C2×C22⋊C4C2411yescharacteristic
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2411yescharacteristic
1070C2×C22⋊C4C2412yes—
1071C2×C22⋊C4C2412yes—
1072C2×C22⋊C4C2414yes—
1073C2×C22⋊C4C2412yes—
1074C2×C22⋊C4C2412yes—
1075C2×C22⋊C4C2412yes—
1076C2×C22⋊C4C2414yes—
1077C2×C22⋊C4C2412yes—
1078C2×C22⋊C4C2414yes—
1079C2×C22⋊C4C2414yes—
1080C2×C22⋊C4C2414yes—
1081C2×C22⋊C4C2414yes—
1082C2×C22⋊C4C2414yes—
1083C2×C22⋊C4C2411yescharacteristic
1084C2×C22⋊C4C2414yes—
1085C2×C22⋊C4C2411yescharacteristic
1086C2×C22⋊C4C2412yes—
1087C2×C22⋊C4C2414yes—
1088C2×C22⋊C4C2412yes—
1089C2×C22⋊C4C2414yes—
1090C2×C22⋊C4C2414yes—
1091C2×C22⋊C4C2414yes—
1092C2×C22⋊C4C2412yes—
1093C2×C22⋊C4C2412yes—
1094C2×C22⋊C4C2412yes—
1095C2×C22⋊C4C2414yes—
1096C2×C22⋊C4C2414yes—
1097C2×C22⋊C4C2414yes—
1098C2×C22⋊C4C2414yes—
1099C2×C22⋊C4C2412yes—
1100C2×C22⋊C4C2414yes—
1101C2×C22⋊C4C2414yes—
1102C2×C22⋊C4C2412yes—
1103C2×C22⋊C4C2412yes—
1104C2×C22⋊C4C2414yes—
1105C2×C22⋊C4C2414yes—
1106C2×C22⋊C4C2414yes—
1107C2×C22⋊C4C2414yes—
1108C2×C22⋊C4C2414yes—
1109C2×C22⋊C4C2412yes—
1110C2×C22⋊C4C2412yes—
1111C2×C22⋊C4C2414yes—
1112C2×C22⋊C4C2412yes—
1113C2×C22⋊C4C2412yes—
1114C2×C42—28no—
1115C2×C42—44no—
1116C2×C42—48no—
1117C2×C42—44no—
1118C2×C42—84no—
1119C2×C42C22×C418yes—
1120C2×C42C2411yescharacteristic
1121C2×C42C2412yes—
1122C2×C42C2412yes—
1123C2×C42C2412yes—
1124C2×C42C2411yescharacteristic
1125C2×C42C2411yescharacteristic
1126C2×C42C2411yescharacteristic
1127C2×C42C2411yescharacteristic
1128C2×C42C2412yes—
1129C2×C42C2412yes—
1130C2×C42C2412yes—
1131C2×C42C2412yes—
1132C2×C42C2411yescharacteristic
1133C2×C42C2412yes—
1134C2×C42C2411yescharacteristic
1135C2×C42C2412yes—
1136C2×C42C2414yes—
1137C2×C42C2414yes—
1138C2×C42C2414yes—
1139C2×C42C2414yes—
1140C2×C42C2414yes—
1141C2×C42C2414yes—
1142C2×C42C2414yes—
1143C2×C42C2412yes—
1144C2×C42C2411yescharacteristic
1145C2×C42C2411yescharacteristic
1146C2×C42C2412yes—
1147C2×C42C2412yes—
1148C2×C42C2414yes—
1149C2×C42C2412yes—
1150C2×C42C2412yes—
1151C2×C42C2412yes—
1152C2×C42C2414yes—
1153C2×C42C2414yes—
1154C2×C42C2411yescharacteristic
1155C2×C42C2411yescharacteristic
1156C2×C42C2412yes—
1157C2×C42C2412yes—
1158C2×C42C2414yes—
1159C2×C42C2412yes—
1160C2×C42C2412yes—
1161C2×C42C2412yes—
1162C2×C42C2411yescharacteristic
1163C2×C42C2411yescharacteristic
1164C2×C42C2411yescharacteristic
1165C2×C42C2411yescharacteristic
1166C2×C42C2411yescharacteristic
1167#95C2411yescharacteristic
1168#95C2412yes—
1169#95C2412yes—
1170#95C2412yes—
1171#95C2412yes—
1172#95C2412yes—
1173#95C2414yes—
1174#95C2414yes—
1175#95C2412yes—
1176#95C2412yes—
1177#95C2412yes—
1178#95C2414yes—
1179#95C2414yes—
1180#95C2412yes—
1181#95C2414yes—
1182#95C2414yes—
1183#95C2414yes—
1184#95C2414yes—
1185#95C2414yes—
1186#95C2414yes—
1187#95C2412yes—
1188#95C2414yes—
1189#95C2414yes—
1190#95C2414yes—
1191#95C2412yes—
1192#95C2411yescharacteristic
1193#95C2411yescharacteristic
1194#95C2411yescharacteristic
1195#95C2412yes—
1196#95C2412yes—
1197#95C2412yes—
1198#95C2412yes—
1199#95C2412yes—
1200#95C2412yes—
1201#95C2412yes—
1202#95C2412yes—
1203#95C2412yes—
1204#95C2411yescharacteristic
1205#95C2411yescharacteristic
1206#95C2411yescharacteristic
1207#95C2411yescharacteristic
1208#95C2412yes—
1209#95C2412yes—
1210#95C2412yes—
1211#95C2412yes—
1212#95C2412yes—
1213#95C2414yes—
1214#95C2412yes—
1215#95C2414yes—
1216#95C2412yes—
1217#95C2414yes—
1218#95C2412yes—
1219#95C2412yes—
1220#95C2414yes—
1221#95C2414yes—
1222#95C2414yes—
1223#95C2412yes—
1224#95C2414yes—
1225#95C2414yes—
1226#95C2412yes—
1227#95C2412yes—
1228#95C2414yes—
1229#95C2412yes—
1230#95C2412yes—
1231#95C2412yes—
1232#95C2412yes—
1233C24C2512yes—
1234C24C2511yescharacteristic
1235C24C2514yes—
1236C24C2512yes—
1237#41—432no—
1238#41—432no—
1239#41—432no—
1240#41—832no—
1241#41—816no—
1242C2×Q8—22no—
1243C2×Q8—22no—
1244C2×Q8—22no—
1245C2×Q8—22no—
1246C2×Q8—42no—
1247C2×Q8—42no—
1248C2×Q8—42no—
1249C2×Q8—42no—
1250C2×Q8—42no—
1251C2×Q8—42no—
1252C2×Q8C23×C414yes—
1253C2×Q8C23×C414yes—
1254C2×Q8C23×C418yes—
1255C2×Q8C23×C418yes—
1256C2×Q8C23×C418yes—
1257C2×D4—24no—
1258C2×D4—22no—
1259C2×D4—24no—
1260C2×D4—22no—
1261C2×D4—22no—
1262C2×D4—24no—
1263C2×D4—22no—
1264C2×D4—24no—
1265C2×D4—42no—
1266C2×D4—44no—
1267C2×D4—44no—
1268C2×D4—42no—
1269C2×D4—42no—
1270C2×D4—44no—
1271C2×D4—44no—
1272C2×D4—44no—
1273C2×D4—44no—
1274C2×D4—42no—
1275C2×D4—42no—
1276C2×D4—44no—
1277C2×D4—44no—
1278C2×D4—42no—
1279C2×D4—44no—
1280C2×D4—44no—
1281C2×D4—42no—
1282C2×D4—42no—
1283C2×D4—42no—
1284C2×D4—42no—
1285C2×D4C23×C414yes—
1286C2×D4C23×C414yes—
1287C2×D4C23×C418yes—
1288C2×D4C23×C418yes—
1289C2×D4C23×C418yes—
1290C2×D4C23×C418yes—
1291C2×D4C23×C418yes—
1292C2×D4C23×C4116yes—
1293C2×D4C23×C4116yes—
1294C2×D4C23×C4116yes—
1295C2×D4C23×C4116yes—
1296C2×D4C23×C4116yes—
1297C2×D4C23×C418yes—
1298C2×D4C23×C418yes—
1299C22×C4—24no—
1300C22×C4—22no—
1301C22×C4—24no—
1302C22×C4—22no—
1303C22×C4—22no—
1304C22×C4—24no—
1305C22×C4—24no—
1306C22×C4—22no—
1307C22×C4—24no—
1308C22×C4—24no—
1309C22×C4—24no—
1310C22×C4—28no—
1311C22×C4—24no—
1312C22×C4—28no—
1313C22×C4—24no—
1314C22×C4—44no—
1315C22×C4—42no—
1316C22×C4—44no—
1317C22×C4—44no—
1318C22×C4—44no—
1319C22×C4—44no—
1320C22×C4—44no—
1321C22×C4—44no—
1322C22×C4—44no—
1323C22×C4—44no—
1324C22×C4—44no—
1325C22×C4—41no—
1326C22×C4—41no—
1327C22×C4—42no—
1328C22×C4—42no—
1329C22×C4—44no—
1330C22×C4—42no—
1331C22×C4—42no—
1332C22×C4—44no—
1333C22×C4—44no—
1334C22×C4—42no—
1335C22×C4—42no—
1336C22×C4—44no—
1337C22×C4—42no—
1338C22×C4—44no—
1339C22×C4—42no—
1340C22×C4—42no—
1341C22×C4—42no—
1342C22×C4—44no—
1343C22×C4—44no—
1344C22×C4—42no—
1345C22×C4—42no—
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×C4—44no—
1355C22×C4C23×C414yes—
1356C22×C4C23×C414yes—
1357C22×C4C23×C418yes—
1358C22×C4C23×C418yes—
1359C22×C4C23×C414yes—
1360C22×C4C23×C4116yes—
1361C22×C4C23×C4116yes—
1362C22×C4C23×C4116yes—
1363C22×C4C23×C4116yes—
1364C22×C4C23×C4116yes—
1365C22×C4C2511yescharacteristic
1366C22×C4C2511yescharacteristic
1367C22×C4C2511yescharacteristic
1368C22×C4C2512yes—
1369C22×C4C2511yescharacteristic
1370C22×C4C2512yes—
1371C22×C4C2512yes—
1372C22×C4C2514yes—
1373C22×C4C2512yes—
1374C22×C4C2512yes—
1375C22×C4C2512yes—
1376C22×C4C2512yes—
1377C22×C4C2511yescharacteristic
1378C22×C4C2511yescharacteristic
1379C22×C4C2514yes—
1380C22×C4C2511yescharacteristic
1381C22×C4C2511yescharacteristic
1382C22×C4C2511yescharacteristic
1383C22×C4C2511yescharacteristic
1384C22×C4C2512yes—
1385C22×C4C2512yes—
1386C22×C4C2512yes—
1387C22×C4C2512yes—
1388C22×C4C2512yes—
1389C22×C4C2512yes—
1390C22×C4C2514yes—
1391C22×C4C2511yescharacteristic
1392C22×C4C2511yescharacteristic
1393C22×C4C2512yes—
1394C22×C4C2511yescharacteristic
1395C22×C4C2511yescharacteristic
1396C4⋊C4—24no—
1397C4⋊C4—24no—
1398C4⋊C4—22no—
1399C4⋊C4—24no—
1400C4⋊C4—24no—
1401C4⋊C4—22no—
1402C4⋊C4—22no—
1403C4⋊C4—24no—
1404C4⋊C4—22no—
1405C4⋊C4—24no—
1406C4⋊C4—22no—
1407C4⋊C4—22no—
1408C4⋊C4—24no—
1409C4⋊C4—22no—
1410C4⋊C4—22no—
1411C4⋊C4—22no—
1412C4⋊C4—24no—
1413C4⋊C4—24no—
1414C4⋊C4—44no—
1415C4⋊C4—42no—
1416C4⋊C4—44no—
1417C4⋊C4—44no—
1418C4⋊C4—42no—
1419C4⋊C4—44no—
1420C4⋊C4—44no—
1421C4⋊C4—44no—
1422C4⋊C4—41no—
1423C4⋊C4—41no—
1424C4⋊C4—42no—
1425C4⋊C4—42no—
1426C4⋊C4—44no—
1427C4⋊C4—42no—
1428C4⋊C4—44no—
1429C4⋊C4—44no—
1430C4⋊C4—44no—
1431C4⋊C4—42no—
1432C4⋊C4—42no—
1433C4⋊C4—42no—
1434C4⋊C4—42no—
1435C4⋊C4—42no—
1436C4⋊C4—42no—
1437C4⋊C4C23×C418yes—
1438C4⋊C4C23×C418yes—
1439C4⋊C4C23×C418yes—
1440C4⋊C4C23×C414yes—
1441C4⋊C4C23×C414yes—
1442C4⋊C4C23×C4116yes—
1443C4⋊C4C23×C4116yes—
1444C4⋊C4C23×C4116yes—
1445C4⋊C4C23×C4116yes—
1446C4⋊C4C23×C418yes—
1447C4⋊C4C23×C418yes—
1448C4⋊C4C23×C414yes—
1449C4⋊C4C23×C414yes—
1450C4⋊C4C23×C418yes—
1451C4⋊C4C23×C418yes—
1452C4⋊C4C23×C418yes—
1453C4⋊C4C23×C418yes—
1454C4⋊C4C23×C418yes—
1455C4⋊C42−1+414yes—
1456C22⋊C4—24no—
1457C22⋊C4—22no—
1458C22⋊C4—22no—
1459C22⋊C4—24no—
1460C22⋊C4—28no—
1461C22⋊C4—24no—
1462C22⋊C4—24no—
1463C22⋊C4—28no—
1464C22⋊C4—41no—
1465C22⋊C4—41no—
1466C22⋊C4—44no—
1467C22⋊C4—44no—
1468C22⋊C4—44no—
1469C22⋊C4—42no—
1470C22⋊C4—44no—
1471C22⋊C4—42no—
1472C22⋊C4—44no—
1473C22⋊C4—42no—
1474C22⋊C4—42no—
1475C22⋊C4—44no—
1476C22⋊C4—44no—
1477C22⋊C4—44no—
1478C22⋊C4—42no—
1479C22⋊C4—44no—
1480C22⋊C4—44no—
1481C22⋊C4—44no—
1482C22⋊C4—44no—
1483C22⋊C4—44no—
1484C22⋊C4—42no—
1485C22⋊C4—42no—
1486C22⋊C4—44no—
1487C22⋊C4—42no—
1488C22⋊C4—44no—
1489C22⋊C4—44no—
1490C22⋊C4—42no—
1491C22⋊C4—44no—
1492C22⋊C4—42no—
1493C22⋊C4C23×C418yes—
1494C22⋊C4C23×C418yes—
1495C22⋊C4C23×C4116yes—
1496C22⋊C4C23×C4116yes—
1497C22⋊C4C23×C4116yes—
1498C22⋊C4C23×C4116yes—
1499C22⋊C4C23×C4116yes—
1500C22⋊C4C23×C418yes—
1501C22⋊C4C23×C418yes—
1502C22⋊C4C23×C418yes—
1503C22⋊C4C23×C418yes—
1504C22⋊C4C23×C4116yes—
1505C42—24no—
1506C42—24no—
1507C42—24no—
1508C42—22no—
1509C42—24no—
1510C42—24no—
1511C42—24no—
1512C42—22no—
1513C42—24no—
1514C42—22no—
1515C42—22no—
1516C42—22no—
1517C42—22no—
1518C42—22no—
1519C42—24no—
1520C42—44no—
1521C42—44no—
1522C42—42no—
1523C42—42no—
1524C42—42no—
1525C42—42no—
1526C42—42no—
1527C42—44no—
1528C42—44no—
1529C42—44no—
1530C42—44no—
1531C42—44no—
1532C42—44no—
1533C42—42no—
1534C42—44no—
1535C42—44no—
1536C42—44no—
1537C42—41no—
1538C42—42no—
1539C42—41no—
1540C42—42no—
1541C42—42no—
1542C42—42no—
1543C42—41no—
1544C42—41no—
1545C42C23×C414yes—
1546C42C23×C414yes—
1547C42C23×C414yes—
1548C42C23×C414yes—
1549C42C23×C418yes—
1550C42C23×C418yes—
1551C42H(5,𝔽2)14yes—
1552C23—21no—
1553C23—22no—
1554C23—24no—
1555C23—22no—
1556C23—22no—
1557C23—22no—
1558C23—24no—
1559C23—21no—
1560C23—21no—
1561C23—22no—
1562C23—24no—
1563C23—22no—
1564C23—22no—
1565C23—21no—
1566C23—24no—
1567C23—22no—
1568C23—22no—
1569C23—22no—
1570C23—21no—
1571C23—24no—
1572C23—21no—
1573C23—24no—
1574C23—22no—
1575C23—22no—
1576C23C24×C412yes—
1577C23C24×C414yes—
1578C23C24×C414yes—
1579C23C24×C418yes—
1580C23C2611yescharacteristic
1581Q8—28no—
1582Q8—28no—
1583Q8—48no—
1584Q8—48no—
1585Q8—48no—
1586D4—216no—
1587D4—28no—
1588D4—28no—
1589D4—216no—
1590D4—48no—
1591D4—48no—
1592D4—48no—
1593D4—416no—
1594D4—416no—
1595D4—416no—
1596D4—416no—
1597D4—416no—
1598D4—48no—
1599D4—48no—
1600C2×C4—22no—
1601C2×C4—22no—
1602C2×C4—22no—
1603C2×C4—22no—
1604C2×C4—21no—
1605C2×C4—22no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—22no—
1611C2×C4—22no—
1612C2×C4—22no—
1613C2×C4—22no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—22no—
1617C2×C4—22no—
1618C2×C4—22no—
1619C2×C4—21no—
1620C2×C4—24no—
1621C2×C4—24no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—22no—
1625C2×C4—22no—
1626C2×C4—21no—
1627C2×C4—21no—
1628C2×C4—216no—
1629C2×C4—216no—
1630C2×C4—28no—
1631C2×C4—28no—
1632C2×C4—22no—
1633C2×C4—22no—
1634C2×C4—21no—
1635C2×C4—21no—
1636C2×C4—22no—
1637C2×C4—22no—
1638C2×C4—22no—
1639C2×C4—24no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—22no—
1643C2×C4—21no—
1644C2×C4—22no—
1645C2×C4—22no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—22no—
1652C2×C4—22no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—22no—
1656C2×C4—24no—
1657C2×C4—24no—
1658C2×C4—24no—
1659C2×C4—22no—
1660C2×C4—22no—
1661C2×C4—22no—
1662C2×C4—21no—
1663C2×C4—21no—
1664C2×C4—22no—
1665C2×C4—22no—
1666C2×C4—21no—
1667C2×C4—24no—
1668C2×C4—22no—
1669C2×C4—22no—
1670C2×C4—21no—
1671C2×C4—22no—
1672C2×C4—24no—
1673C2×C4—21no—
1674C2×C4—22no—
1675C2×C4—21no—
1676C2×C4—22no—
1677C2×C4—416no—
1678C2×C4—416no—
1679C2×C4—416no—
1680C2×C4—416no—
1681C2×C4—416no—
1682C2×C4—44no—
1683C2×C4—48no—
1684C2×C4—84no—
1685C2×C4—84no—
1686C2×C4—88no—
1687C2×C4—84no—
1688C2×C4—88no—
1689C2×C4—84no—
1690C2×C4—84no—
1691C2×C4—88no—
1692C2×C4—164no—
1693C2×C4—164no—
1694C2×C4—164no—
1695C2×C4C24×C412yes—
1696C2×C4C24×C412yes—
1697C2×C4C24×C412yes—
1698C2×C4C24×C412yes—
1699C2×C4C24×C414yes—
1700C2×C4C24×C414yes—
1701C2×C4C24×C414yes—
1702C2×C4C24×C414yes—
1703C2×C4C24×C414yes—
1704C2×C4C24×C414yes—
1705C2×C4C24×C418yes—
1706C2×C4C24×C412yes—
1707C2×C4C24×C412yes—
1708C2×C4C2×H(5,𝔽2)12yes—
1709C2×C4C2×H(5,𝔽2)12yes—
1710C2×C4C2×H(5,𝔽2)12yes—
1711C2×C4C2×2−1+414yes—
1712C2×C4C2×2−1+412yes—
1713C2×C4#58512yes—
1714C2×C4#58512yes—
1715C22—22no—
1716C22—24no—
1717C22—24no—
1718C22—28no—
1719C22—22no—
1720C22—24no—
1721C22—24no—
1722C22—28no—
1723C22—24no—
1724C22—24no—
1725C22—22no—
1726C22—28no—
1727C22—42no—
1728C22—41no—
1729C22—42no—
1730C22—44no—
1731C22—42no—
1732C22—44no—
1733C22—42no—
1734C22—41no—
1735C22—41no—
1736C22—42no—
1737C22—44no—
1738C22—42no—
1739C22—42no—
1740C22—44no—
1741C22—41no—
1742C22—42no—
1743C22C25×C411yescharacteristic
1744C22C22×H(5,𝔽2)11yescharacteristic
1745C22C22×2−1+411yescharacteristic
1746C22C2×#58511yescharacteristic
1747C22C2×#58511yescharacteristic
1748C22H(7,𝔽2)11yescharacteristic
1749C22H(7,𝔽2)11yescharacteristic
1750C4—24no—
1751C4—24no—
1752C4—22no—
1753C4—24no—
1754C4—24no—
1755C4—22no—
1756C4—22no—
1757C4—28no—
1758C4—24no—
1759C4—24no—
1760C4—22no—
1761C4—22no—
1762C4—24no—
1763C4—22no—
1764C4—42no—
1765C4—41no—
1766C4—42no—
1767C4—41no—
1768C4—41no—
1769C4—42no—
1770C4—41no—
1771C4—42no—
1772C4—44no—
1773C4—42no—
1774C4—42no—
1775C4—41no—
1776C4—42no—
1777C4—44no—
1778C4—41no—
1779C4C4×H(5,𝔽2)14yes—
1780C4C4×2−1+414yes—
1781C2—42no—
1782C2—44no—
1783C2—44no—
1784C2—48no—
1785C2C2×C4×H(5,𝔽2)11yescharacteristic
1786C2C2×C4×2−1+411yescharacteristic
1787C2#6265211yescharacteristic
1788C2#6294411yescharacteristic
1789C2#6295211yescharacteristic
1790C2#6295511yescharacteristic
1791C2#6296911yescharacteristic
subgroupG/H
center, Frattini, socle, cosocleC23C26
commutatorC22C25×C4
prime radicalC2×#3548C2
LCSG ▷ C22 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
2. #34515C2semidirect
3. #34513C2semidirect
4. #34494C2semidirect
5. #34494C2semidirect
6. #34489C2semidirect
7. #34484C2semidirect
8. #34473C2semidirect
9. #34460C2semidirect
10. #34436C2semidirect
11. #34431C2semidirect
12. #34431C2semidirect
13. #34414C2semidirect
14. #34410C2semidirect
15. #34410C2semidirect
16. #34367C2semidirect
17. #34333C2semidirect
18. #34332C2semidirect
19. #34330C2semidirect
20. #34330C2semidirect
21. #34317C2semidirect
22. #34313C2semidirect
23. #34298C2semidirect
24. #34289C2semidirect
25. #34287C2semidirect
26. #34287C2semidirect
27. #34267C2semidirect
28. #34236C2semidirect
29. #34226C2semidirect
30. #34213C2semidirect
31. C4×#554C2semidirect
32. C4×#550C2semidirect
33. #34141C2semidirect
34. C4×#537C2semidirect
35. #34085C2semidirect
36. #3548C4semidirect
305. #562C2×C4semidirect
306. #554C2×C4semidirect
307. #554C2×C4semidirect
308. #554C2×C4semidirect
309. #550C2×C4semidirect
310. #550C2×C4semidirect
311. #550C2×C4semidirect
312. #547C2×C4semidirect
313. #547C2×C4semidirect
314. #540C2×C4semidirect
315. #540C2×C4semidirect
316. #537C2×C4semidirect
317. #537C2×C4semidirect
318. #537C2×C4semidirect
319. #533C2×C4semidirect
320. #532C2×C4semidirect
321. #532C2×C4semidirect

Maximal subgroups

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

subgroupindex
C2×#35482
#345152
#345132
#344942
#344892
#344842
#344732
#344602
#344362
#344312
#344142
#344102
#343672
#343332
#343322
#343302
#343172
#343132
#342982
#342892
#342872
#342672
#342362
#342262
#342132
C4×#5542
C4×#5502
#341412
C4×#5372
#340852