Finite Group Databasebeta

← #7626773

Subgroups — #7626773

Order 512.

6520 conjugacy classes of subgroups.

The subgroup lattice has 1685 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3515C211yesmaximal, characteristic
2#34507C214yesmaximal, complemented
3#34488C211yesmaximal, characteristic, complemented
4#34484C211yesmaximal, characteristic, complemented
5#34484C211yesmaximal, characteristic, complemented
6#34482C212yesmaximal, complemented
7#34482C214yesmaximal, complemented
8#34480C212yesmaximal, complemented
9#34480C211yesmaximal, characteristic, complemented
10#34473C212yesmaximal, complemented
11#34466C212yesmaximal, complemented
12#34465C212yesmaximal, complemented
13#34462C212yesmaximal, complemented
14#34452C214yesmaximal, complemented
15#34444C214yesmaximal, complemented
16#34383C212yesmaximal, complemented
17#34378C212yesmaximal, complemented
18#34337C211yesmaximal, characteristic, complemented
19#34332C211yesmaximal, characteristic, complemented
20#34317C211yesmaximal, characteristic, complemented
21#34316C211yesmaximal, characteristic, complemented
22#34301C212yesmaximal, complemented
23#34300C212yesmaximal, complemented
24#34286C212yesmaximal, complemented
25#34263C212yesmaximal, complemented
26#34253C212yesmaximal, complemented
27#34243C211yesmaximal, characteristic, complemented
28#34237C212yesmaximal, complemented
29#34225C211yesmaximal, characteristic, complemented
30#34217C212yesmaximal, complemented
31#34151C211yesmaximal, characteristic, complemented
32#34145C211yesmaximal, characteristic, complemented
33#34129C211yesmaximal, characteristic, complemented
34C4×#541C212yesmaximal, complemented
35#34060C211yesmaximal, characteristic, complemented
36#3515C4132yescomplemented
37C2×#557C2211yescharacteristic
38C2×#554C2211yescharacteristic
39C2×#554C2211yescharacteristic
40C2×#553C2212yes—
41C2×#552C2212yes—
42C2×#552C2212yes—
43C2×#552C2214yes—
44C2×#547C2211yescharacteristic
45C2×#547C2212yes—
46C2×#541C2212yes—
47C2×#539C2214yes—
48C2×#533C2211yescharacteristic
49C2×#529C2211yescharacteristic
50C2×#529C2212yes—
51C22×#125C2212yes—
52C2×#520C2212yes—
53C2×C4×#41C2211yescharacteristic
54#2383C2214yes—
55#2382C2214yes—
56#2382C2214yes—
57#2382C2214yes—
58#2378C2214yes—
59#2378C2214yes—
60#2377C2214yes—
61#2376C2214yes—
62#2376C2214yes—
63#2376C2214yes—
64#2376C2214yes—
65#2376C2214yes—
66#2374C2214yes—
67#2374C2212yes—
68#2374C2212yes—
69#2374C2214yes—
70#2373C2212yes—
71#2373C2212yes—
72#2373C2214yes—
73#2373C2214yes—
74#2373C2214yes—
75#2371C2214yes—
76#2370C2212yes—
77#2370C2212yes—
78#2370C2214yes—
79#2370C2212yes—
80#2370C2211yescharacteristic
81#2370C2212yes—
82#2370C2212yes—
83#2370C2212yes—
84#2370C2212yes—
85#2370C2212yes—
86#2370C2211yescharacteristic
87#2370C2212yes—
88#2370C2214yes—
89#2370C2212yes—
90#2370C2212yes—
91#2369C2211yescharacteristic
92#2369C2211yescharacteristic
93#2368C2214yes—
94#2367C2211yescharacteristic
95#2367C2212yes—
96#2367C2211yescharacteristic
97#2365C2211yescharacteristic
98#2365C2212yes—
99#2365C2211yescharacteristic
100#2365C2212yes—
101#2363C2212yes—
102#2363C2211yescharacteristic
103#2363C2211yescharacteristic
104#2363C2214yes—
105#2363C2212yes—
106#2362C2212yes—
107#2362C2214yes—
108#2362C2212yes—
109#2362C2211yescharacteristic
110#2362C2211yescharacteristic
111#2362C2212yes—
112#2362C2212yes—
113#2362C2212yes—
114#2362C2212yes—
115#2360C2214yes—
116#2360C2212yes—
117#2360C2212yes—
118#2360C2212yes—
119#2360C2212yes—
120#2359C2214yes—
121#2359C2214yes—
122#2357C2212yes—
123#2357C2214yes—
124#2356C2212yes—
125#2355C2211yescharacteristic
126#2355C2212yes—
127#2354C2211yescharacteristic
128#2354C2211yescharacteristic
129#2354C2214yes—
130#2354C2212yes—
131#2354C2212yes—
132#2354C2211yescharacteristic
133#2354C2212yes—
134#2354C2212yes—
135#2353C2214yes—
136#2353C2214yes—
137#2352C2214yes—
138#2352C2214yes—
139#2352C2212yes—
140#2351C2212yes—
141#2351C2212yes—
142Q8×C4⋊C4C2211yescharacteristic
143Q8×C4⋊C4C2212yes—
144Q8×C4⋊C4C2212yes—
145Q8×C4⋊C4C2211yescharacteristic
146Q8×C4⋊C4C2211yescharacteristic
147D4×C4⋊C4C2212yes—
148D4×C4⋊C4C2211yescharacteristic
149D4×C4⋊C4C2212yes—
150#2347C2212yes—
151#2347C2214yes—
152#2346C2212yes—
153#2346C2214yes—
154#2346C2212yes—
155#2346C2214yes—
156#2346C2214yes—
157#2345C2212yes—
158#2345C2212yes—
159#2345C2212yes—
160#2345C2214yes—
161#2345C2214yes—
162#2345C2214yes—
163#2345C2214yes—
164#2344C2212yes—
165#2344C2214yes—
166#2344C2214yes—
167#2344C2212yes—
168#2344C2212yes—
169#2343C2214yes—
170#2341C2212yes—
171#2341C2212yes—
172#2341C2212yes—
173#2336C2214yes—
174#2336C2214yes—
175#2336C2214yes—
176#2336C2214yes—
177#2335C2214yes—
178#2335C2214yes—
179#2335C2214yes—
180#2335C2214yes—
181#2335C2214yes—
182#2335C2214yes—
183#2335C2214yes—
184#2334C2214yes—
185#2334C2214yes—
186#2334C2214yes—
187#2334C2214yes—
188#2334C2214yes—
189#2334C2214yes—
190#2333C2214yes—
191#2332C2214yes—
192#2330C2212yes—
193#2330C2212yes—
194#2330C2214yes—
195#2330C2212yes—
196#2330C2212yes—
197#2330C2212yes—
198#2330C2214yes—
199#2330C2214yes—
200#2329C2214yes—
201#2327C2212yes—
202#2324C2212yes—
203#2324C2212yes—
204#2324C2214yes—
205#2323C2212yes—
206#2323C2212yes—
207#2323C2212yes—
208#2323C2212yes—
209#2323C2214yes—
210#2323C2214yes—
211#2323C2212yes—
212#2323C2212yes—
213#2322C2214yes—
214#2320C2211yescharacteristic
215#2320C2211yescharacteristic
216#2320C2212yes—
217#2320C2212yes—
218#2320C2212yes—
219#2319C2211yescharacteristic
220#2319C2211yescharacteristic
221#2319C2212yes—
222#2319C2214yes—
223#2319C2212yes—
224#2318C2212yes—
225#2318C2212yes—
226#2317C2211yescharacteristic
227#2317C2211yescharacteristic
228#2317C2214yes—
229#2316C2214yes—
230#2316C2212yes—
231#2316C2212yes—
232#2316C2212yes—
233#2314C2212yes—
234#2314C2212yes—
235#2314C2212yes—
236#2314C2214yes—
237#2314C2214yes—
238#2313C2214yes—
239#2311C2211yescharacteristic
240#2311C2211yescharacteristic
241#2311C2212yes—
242C4×C4⋊Q8C2211yescharacteristic
243C4×C4⋊Q8C2211yescharacteristic
244C4×C4⋊Q8C2211yescharacteristic
245C4×C4⋊Q8C2212yes—
246C4×C4⋊Q8C2211yescharacteristic
247C4×#125C2212yes—
248C4×#125C2214yes—
249C4×#125C2214yes—
250C4×#125C2214yes—
251C4×#126C2214yes—
252C4×#126C2214yes—
253C4×#126C2214yes—
254C4×C22⋊Q8C2212yes—
255C4×C22⋊Q8C2212yes—
256C4×C22⋊Q8C2212yes—
257C4×#121C2212yes—
258#2298C2212yes—
259#2298C2214yes—
260#2297C2212yes—
261#2296C2212yes—
262#2295C2211yescharacteristic
263#2295C2211yescharacteristic
264#2295C2212yes—
265#2295C2214yes—
266#2295C2212yes—
267#2295C2211yescharacteristic
268#2293C2211yescharacteristic
269#2293C2211yescharacteristic
270#2293C2212yes—
271#2293C2214yes—
272#2293C2212yes—
273#2293C2212yes—
274#2293C2211yescharacteristic
275#2293C2214yes—
276C2×#389C2212yes—
277#2290C2212yes—
278#2290C2212yes—
279#2290C2212yes—
280#2285C2212yes—
281#2285C2212yes—
282#2285C2211yescharacteristic
283#2283C2212yes—
284#2276C2212yes—
285#2276C2212yes—
286#2275C2212yes—
287#2274C2212yes—
288#2274C2212yes—
289#2274C2212yes—
290C42×Q8C2211yescharacteristic
291C42×Q8C2212yes—
292C42×Q8C2212yes—
293C42×D4C2211yescharacteristic
294C4×#117C2211yescharacteristic
295C4×#117C2212yes—
296C4×#117C2211yescharacteristic
297C4×#117C2212yes—
298C4×#117C2212yes—
299C2×C4×C4⋊C4C2211yescharacteristic
300C22×#41C2311yescharacteristic
301C22×#41C2312yes—
302#557C2×C4116yescomplemented
303#554C2×C4116yescomplemented
304#554C2×C4116yescomplemented
305#553C2×C4132yes—
306#552C2×C4132yescomplemented
307#552C2×C4164yescomplemented
308#552C2×C4132yescomplemented
309#547C2×C4116yescomplemented
310#547C2×C4132yescomplemented
311#541C2×C4132yescomplemented
312#539C2×C4164yescomplemented
313#533C2×C4116yescomplemented
314C2×C4⋊Q8C2311yescharacteristic
315C2×C4⋊Q8C2311yescharacteristic
316C2×C4⋊Q8C2312yes—
317#529C2×C4116yes—
318#529C2×C4132yescomplemented
319C2×#126C2314yes—
320C2×#126C2314yes—
321C2×#126C2312yes—
322C2×#126C2314yes—
323C2×#125C2×C4132yescomplemented
324C2×#125C2314yes—
325C2×#125C2312yes—
326C2×#125C2314yes—
327C2×#125C2312yes—
328C2×#125C2312yes—
329C2×#125C2314yes—
330C2×#125C2314yes—
331C2×#125C2311yescharacteristic
332C2×#125C2312yes—
333C2×#124C2311yescharacteristic
334C2×#123C2314yes—
335C2×#123C2314yes—
336C2×#123C2314yes—
337C2×#123C2314yes—
338C2×#123C2312yes—
339C2×C22⋊Q8C2312yes—
340C2×C22⋊Q8C2312yes—
341C2×C22⋊Q8C2314yes—
342C2×C22⋊Q8C2314yes—
343C2×C22⋊Q8C2312yes—
344C2×C22⋊Q8C2312yes—
345C2×C22⋊Q8C2312yes—
346C2×C22⋊Q8C2311yescharacteristic
347C2×#121C2312yes—
348C2×#121C2314yes—
349C2×#121C2311yescharacteristic
350#520C2×C4132yescomplemented
351C4×#41C2×C4116yescomplemented
352C2×C4×Q8C2311yescharacteristic
353C2×C4×Q8C2312yes—
354C2×C4×Q8C2312yes—
355C2×C4×Q8C2312yes—
356C2×C4×Q8C2312yes—
357C2×C4×Q8C2311yescharacteristic
358C2×C4×Q8C2312yes—
359C2×C4×Q8C2312yes—
360C2×C4×Q8C2312yes—
361C2×C4×Q8C2312yes—
362C2×C4×Q8C2312yes—
363C2×C4×Q8C2311yescharacteristic
364C2×C4×Q8C2312yes—
365C2×C4×Q8C2312yes—
366C2×C4×Q8C2312yes—
367C2×C4×Q8C2311yescharacteristic
368C2×C4×Q8C2311yescharacteristic
369C2×C4×Q8C2312yes—
370C2×C4×D4C2311yescharacteristic
371C2×C4×D4C2311yescharacteristic
372C2×C4×D4C2312yes—
373C2×C4×D4C2314yes—
374C2×C4×D4C2312yes—
375C2×C4×D4C2311yescharacteristic
376C2×C4×D4C2312yes—
377C2×C4×D4C2314yes—
378C2×C4×D4C2312yes—
379C2×C4×D4C2312yes—
380C2×C4×D4C2311yescharacteristic
381C2×C4×D4C2314yes—
382C2×C4×D4C2311yescharacteristic
383C2×C4×D4C2312yes—
384C2×#117C2311yescharacteristic
385C2×#117C2312yes—
386C2×#117C2312yes—
387C2×#117C2311yescharacteristic
388C2×#117C2311yescharacteristic
389C2×#117C2312yes—
390C2×#117C2312yes—
391C2×#117C2312yes—
392C2×#117C2312yes—
393C2×#117C2311yescharacteristic
394C2×#117C2314yes—
395C2×#117C2314yes—
396C2×#117C2314yes—
397C2×#117C2314yes—
398C2×#117C2312yes—
399C2×#117C2312yes—
400C2×#117C2314yes—
401C2×#117C2314yes—
402C2×#117C2312yes—
403C2×#117C2311yescharacteristic
404C2×#117C2312yes—
405C22×C4⋊C4C2311yescharacteristic
406C22×C4⋊C4C2311yescharacteristic
407C22×C4⋊C4C2312yes—
408C22×C4⋊C4C2314yes—
409C22×C4⋊C4C2314yes—
410C22×C4⋊C4C2312yes—
411C22×C4⋊C4C2312yes—
412C22×C4⋊C4C2312yes—
413C22×C4⋊C4C2314yes—
414C22×C42C2312yes—
415C22×C42C2312yes—
416C22×C42C2312yes—
417C22×C42C2311yescharacteristic
418#391C2312yes—
419#391C2311yescharacteristic
420#391C2312yes—
421#391C2312yes—
422#391C2312yes—
423#391C2311yescharacteristic
424#391C2311yescharacteristic
425#391C2312yes—
426#391C2311yescharacteristic
427#391C2311yescharacteristic
428#391C2312yes—
429#391C2311yescharacteristic
430#391C2314yes—
431#391C2314yes—
432#391C2312yes—
433#390C2311yescharacteristic
434#390C2311yescharacteristic
435#390C2311yescharacteristic
436#390C2312yes—
437#390C2311yescharacteristic
438#390C2311yescharacteristic
439#390C2314yes—
440#390C2312yes—
441#390C2314yes—
442#390C2311yescharacteristic
443#390C2312yes—
444#390C2314yes—
445#390C2314yes—
446#390C2314yes—
447#390C2314yes—
448#390C2312yes—
449#390C2312yes—
450#389C2311yescharacteristic
451#389C2312yes—
452#389C2314yes—
453#389C2314yes—
454#389C2314yes—
455#389C2314yes—
456#389C2314yes—
457#389C2314yes—
458#389C2312yes—
459#389C2314yes—
460#389C2312yes—
461#389C2312yes—
462#389C2312yes—
463#389C2312yes—
464#389C2312yes—
465#389C2314yes—
466#389C2312yes—
467#389C2311yescharacteristic
468#389C2311yescharacteristic
469#389C2311yescharacteristic
470#389C2312yes—
471#389C2314yes—
472#389C2312yes—
473#389C2312yes—
474#389C2312yes—
475#389C2312yes—
476#389C2314yes—
477#389C2314yes—
478#389C2314yes—
479#389C2314yes—
480#389C2314yes—
481#389C2314yes—
482#389C2312yes—
483#389C2312yes—
484#389C2311yescharacteristic
485#389C2311yescharacteristic
486#389C2311yescharacteristic
487#389C2311yescharacteristic
488#389C2311yescharacteristic
489#389C2311yescharacteristic
490#389C2314yes—
491#389C2314yes—
492#389C2314yes—
493#389C2314yes—
494#389C2314yes—
495#389C2312yes—
496#389C2314yes—
497#389C2312yes—
498#389C2314yes—
499#389C2314yes—
500#389C2311yescharacteristic
501#389C2311yescharacteristic
502#389C2312yes—
503#389C2314yes—
504#389C2314yes—
505#389C2314yes—
506#389C2314yes—
507#389C2314yes—
508#389C2312yes—
509#389C2312yes—
510#388C2312yes—
511#388C2314yes—
512#388C2314yes—
513#388C2314yes—
514#388C2314yes—
515#388C2314yes—
516#388C2314yes—
517#388C2314yes—
518#388C2314yes—
519#388C2312yes—
520#388C2312yes—
521#388C2312yes—
522#388C2312yes—
523#388C2312yes—
524#388C2312yes—
525#388C2312yes—
526#388C2312yes—
527#388C2314yes—
528#388C2312yes—
529#388C2314yes—
530#388C2314yes—
531#388C2314yes—
532#388C2314yes—
533#388C2312yes—
534#388C2314yes—
535#388C2314yes—
536#388C2314yes—
537#388C2314yes—
538#388C2312yes—
539#388C2314yes—
540#388C2314yes—
541#388C2314yes—
542#388C2314yes—
543#388C2314yes—
544#388C2314yes—
545#388C2314yes—
546#388C2314yes—
547#388C2314yes—
548#388C2314yes—
549#388C2312yes—
550#388C2312yes—
551#388C2312yes—
552#388C2314yes—
553#388C2312yes—
554#388C2314yes—
555#388C2312yes—
556#388C2312yes—
557#388C2312yes—
558#388C2314yes—
559#388C2312yes—
560#387C2312yes—
561#387C2314yes—
562#387C2314yes—
563#387C2314yes—
564#387C2314yes—
565#387C2314yes—
566#387C2314yes—
567#387C2314yes—
568#387C2314yes—
569#387C2312yes—
570#387C2312yes—
571#387C2314yes—
572#387C2314yes—
573#387C2314yes—
574#387C2314yes—
575#387C2314yes—
576#387C2314yes—
577#387C2314yes—
578#387C2314yes—
579#387C2314yes—
580#387C2314yes—
581#387C2314yes—
582#387C2312yes—
583#387C2314yes—
584#387C2314yes—
585#387C2314yes—
586#387C2314yes—
587#387C2314yes—
588#387C2314yes—
589#387C2312yes—
590#387C2312yes—
591#387C2312yes—
592#387C2312yes—
593#387C2312yes—
594#387C2312yes—
595#387C2312yes—
596#387C2314yes—
597#387C2314yes—
598#387C2314yes—
599#387C2314yes—
600#387C2314yes—
601#387C2314yes—
602#387C2314yes—
603#387C2312yes—
604#387C2314yes—
605#387C2314yes—
606#387C2314yes—
607#387C2312yes—
608#387C2314yes—
609#387C2314yes—
610#387C2314yes—
611#387C2314yes—
612#387C2314yes—
613#387C2314yes—
614#387C2314yes—
615#387C2314yes—
616#387C2314yes—
617#387C2314yes—
618#387C2312yes—
619#387C2314yes—
620#387C2312yes—
621#387C2312yes—
622#386C2312yes—
623#386C2312yes—
624#386C2312yes—
625#386C2312yes—
626#386C2314yes—
627#386C2314yes—
628#386C2312yes—
629#386C2314yes—
630#386C2312yes—
631#386C2314yes—
632#386C2314yes—
633#385C2312yes—
634#385C2312yes—
635#385C2312yes—
636#385C2312yes—
637#385C2312yes—
638#385C2314yes—
639#385C2314yes—
640#385C2314yes—
641#385C2314yes—
642#385C2314yes—
643#385C2314yes—
644#385C2314yes—
645#385C2314yes—
646#385C2314yes—
647#385C2312yes—
648#384C2311yescharacteristic
649#384C2311yescharacteristic
650#384C2312yes—
651#384C2312yes—
652#384C2312yes—
653#384C2314yes—
654#384C2312yes—
655#384C2312yes—
656#383C2312yes—
657#383C2312yes—
658#383C2314yes—
659#383C2314yes—
660#382C2312yes—
661#382C2312yes—
662#382C2312yes—
663#382C2314yes—
664#382C2312yes—
665#382C2312yes—
666#382C2314yes—
667#382C2314yes—
668#382C2314yes—
669#382C2312yes—
670#381C2314yes—
671#381C2314yes—
672#381C2312yes—
673#381C2312yes—
674#381C2314yes—
675#380C2312yes—
676#380C2312yes—
677#380C2312yes—
678#380C2312yes—
679#380C2314yes—
680#380C2314yes—
681#380C2314yes—
682#380C2314yes—
683#380C2314yes—
684#380C2314yes—
685#380C2314yes—
686#380C2312yes—
687#380C2312yes—
688#380C2314yes—
689#380C2314yes—
690#380C2314yes—
691#380C2312yes—
692#380C2312yes—
693#380C2312yes—
694#380C2312yes—
695#380C2312yes—
696#380C2312yes—
697C4×C4⋊C4C2314yes—
698C4×C4⋊C4C2314yes—
699C4×C4⋊C4C2314yes—
700C4×C4⋊C4C2314yes—
701C4×C4⋊C4C2314yes—
702C4×C4⋊C4C2314yes—
703C4×C4⋊C4C2314yes—
704C4×C4⋊C4C2314yes—
705C4×C4⋊C4C2314yes—
706C4×C4⋊C4C2314yes—
707C4×C4⋊C4C2312yes—
708C4×C4⋊C4C2314yes—
709C4×C4⋊C4C2312yes—
710C4×C4⋊C4C2314yes—
711C4×C4⋊C4C2314yes—
712C4×C4⋊C4C2314yes—
713C4×C4⋊C4C2314yes—
714C4×C4⋊C4C2314yes—
715C4×C4⋊C4C2314yes—
716C4×C4⋊C4C2312yes—
717C4×C4⋊C4C2312yes—
718C4×C4⋊C4C2312yes—
719C4×C4⋊C4C2312yes—
720C4×C4⋊C4C2312yes—
721C4×C4⋊C4C2312yes—
722C4×C4⋊C4C2312yes—
723C4×C4⋊C4C2312yes—
724C4×C4⋊C4C2312yes—
725C4×C4⋊C4C2312yes—
726C4×C4⋊C4C2311yescharacteristic
727C4×C4⋊C4C2312yes—
728C4×C4⋊C4C2311yescharacteristic
729C4×C4⋊C4C2311yescharacteristic
730C4×C4⋊C4C2314yes—
731C4×C4⋊C4C2312yes—
732C4×C4⋊C4C2314yes—
733C4×C4⋊C4C2314yes—
734C4×C4⋊C4C2314yes—
735C4×C4⋊C4C2312yes—
736C4×C4⋊C4C2311yescharacteristic
737C4×C4⋊C4C2312yes—
738C4×C4⋊C4C2312yes—
739C4×C4⋊C4C2312yes—
740C4×C4⋊C4C2312yes—
741C4×C4⋊C4C2312yes—
742C4×C4⋊C4C2312yes—
743C4×C4⋊C4C2311yescharacteristic
744C4×C4⋊C4C2311yescharacteristic
745C4×C4⋊C4C2312yes—
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2314yes—
750C4×C4⋊C4C2314yes—
751C4×C4⋊C4C2314yes—
752C4×C4⋊C4C2314yes—
753C4×C4⋊C4C2314yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2314yes—
757C4×C4⋊C4C2311yescharacteristic
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2311yescharacteristic
760C4×C4⋊C4C2311yescharacteristic
761C4×C4⋊C4C2311yescharacteristic
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2312yes—
776C4×C22⋊C4C2314yes—
777C4×C22⋊C4C2314yes—
778C4×C22⋊C4C2312yes—
779C4×C22⋊C4C2312yes—
780C4×C22⋊C4C2314yes—
781C4×C22⋊C4C2314yes—
782C4×C22⋊C4C2314yes—
783C4×C22⋊C4C2314yes—
784C4×C22⋊C4C2314yes—
785C4×C22⋊C4C2311yescharacteristic
786C4×C22⋊C4C2311yescharacteristic
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2314yes—
799C4×C22⋊C4C2314yes—
800C4×C22⋊C4C2314yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2314yes—
807C4×C22⋊C4C2311yescharacteristic
808C4×C22⋊C4C2311yescharacteristic
809C4×C22⋊C4C2312yes—
810#376C2311yescharacteristic
811#376C2312yes—
812#376C2311yescharacteristic
813#376C2312yes—
814#376C2314yes—
815#376C2312yes—
816#376C2314yes—
817#376C2314yes—
818#376C2312yes—
819#376C2314yes—
820C2×#95C2312yes—
821C2×#95C2314yes—
822C43C2314yes—
823C43C2314yes—
824C43C2312yes—
825C43C2311yescharacteristic
826C43C2311yescharacteristic
827C43C2312yes—
828C2×#41—44no—
829C2×#41—42no—
830C2×#41—42no—
831C2×#41—44no—
832C2×#41C22×C418yes—
833C2×#41C22×C4116yes—
834C22×Q8C2411yescharacteristic
835C22×Q8C2412yes—
836C22×Q8C2411yescharacteristic
837C22×Q8C2412yes—
838C22×D4C2411yescharacteristic
839C22×D4C2411yescharacteristic
840C22×D4C2412yes—
841C22×D4C2412yes—
842C22×D4C2414yes—
843C23×C4C2412yes—
844C23×C4C2412yes—
845C23×C4C2411yescharacteristic
846C23×C4C2411yescharacteristic
847C23×C4C2412yes—
848C23×C4C2414yes—
849C23×C4C2412yes—
850C23×C4C2412yes—
851C23×C4C2412yes—
852C23×C4C2414yes—
853C23×C4C2414yes—
854C23×C4C2412yes—
855C23×C4C2414yes—
856C23×C4C2412yes—
857C23×C4C2411yescharacteristic
858C4⋊Q8C22×C418yes—
859C4⋊Q8C22×C418yes—
860C4⋊Q8C22×C4116yes—
861#126C22×C4116yes—
862#126C22×C4132yes—
863#126C22×C4132yes—
864#126C22×C4132yes—
865#125C22×C418yes—
866#125C22×C4116yes—
867#125C22×C4132yes—
868#125C22×C4132yes—
869#125C22×C4116yes—
870#125C22×C4116yes—
871#125C22×C4132yes—
872#125C22×C4132yes—
873#125C22×C4116yes—
874#124C22×C418yes—
875#123C22×C4116yes—
876#123C22×C4132yes—
877#123C22×C4132yes—
878#123C22×C4132yes—
879#123C22×C4132yes—
880C22⋊Q8C22×C418yes—
881C22⋊Q8C22×C4116yes—
882C22⋊Q8C22×C4116yes—
883C22⋊Q8C22×C4116yes—
884C22⋊Q8C22×C4132yes—
885C22⋊Q8C22×C4132yes—
886C22⋊Q8C22×C4116yes—
887C22⋊Q8C22×C4116yes—
888#121C22×C418yes—
889#121C22×C4116yes—
890#121C22×C4132yes—
891C4×Q8—24no—
892C4×Q8—44no—
893C4×Q8—44no—
894C4×Q8—44no—
895C4×Q8—42no—
896C4×Q8—44no—
897C4×Q8—44no—
898C4×Q8—44no—
899C4×Q8—44no—
900C4×Q8—82no—
901C4×Q8—82no—
902C4×Q8C22×C418yes—
903C4×Q8C22×C418yes—
904C4×Q8C22×C4116yes—
905C4×Q8C22×C4116yes—
906C4×Q8C22×C418yes—
907C4×Q8C22×C4116yes—
908C4×Q8C22×C4116yes—
909C4×D4—24no—
910C4×D4—44no—
911C4×D4—42no—
912C4×D4—84no—
913C4×D4C22×C418yes—
914C4×D4C22×C4116yes—
915C4×D4C22×C418yes—
916C4×D4C22×C4116yes—
917C4×D4C22×C4132yes—
918C4×D4C22×C4116yes—
919C4×D4C22×C4132yes—
920C4×D4C22×C4116yes—
921C4×D4C22×C418yes—
922C4×D4C22×C4116yes—
923#117—24no—
924#117—28no—
925#117—42no—
926#117—44no—
927#117—44no—
928#117—42no—
929#117—44no—
930#117—44no—
931#117—42no—
932#117—44no—
933#117—84no—
934#117—82no—
935#117—84no—
936#117—84no—
937#117—84no—
938#117C22×C418yes—
939#117C22×C4116yes—
940#117C22×C4116yes—
941#117C22×C4132yes—
942#117C22×C4132yes—
943#117C22×C4116yes—
944C2×C4⋊C4—44no—
945C2×C4⋊C4—42no—
946C2×C4⋊C4—42no—
947C2×C4⋊C4—84no—
948C2×C4⋊C4C22×C4132yes—
949C2×C4⋊C4C22×C4116yes—
950C2×C4⋊C4C22×C4116yes—
951C2×C4⋊C4C22×C4132yes—
952C2×C4⋊C4C22×C4116yes—
953C2×C4⋊C4C2411yescharacteristic
954C2×C4⋊C4C2411yescharacteristic
955C2×C4⋊C4C2411yescharacteristic
956C2×C4⋊C4C2411yescharacteristic
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2411yescharacteristic
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2411yescharacteristic
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2411yescharacteristic
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2414yes—
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2414yes—
972C2×C4⋊C4C2414yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2411yescharacteristic
980C2×C4⋊C4C2411yescharacteristic
981C2×C4⋊C4C2411yescharacteristic
982C2×C4⋊C4C2411yescharacteristic
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2414yes—
991C2×C4⋊C4C2414yes—
992C2×C4⋊C4C2414yes—
993C2×C4⋊C4C2414yes—
994C2×C4⋊C4C2414yes—
995C2×C4⋊C4C2414yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2414yes—
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2411yescharacteristic
1002C2×C4⋊C4C2414yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2411yescharacteristic
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2411yescharacteristic
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2414yes—
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2414yes—
1012C2×C4⋊C4C2414yes—
1013C2×C4⋊C4C2414yes—
1014C2×C4⋊C4C2414yes—
1015C2×C4⋊C4C2414yes—
1016C2×C4⋊C4C2414yes—
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2411yescharacteristic
1019C2×C4⋊C4C2412yes—
1020C2×C4⋊C4C2412yes—
1021C2×C4⋊C4C2414yes—
1022C2×C4⋊C4C2412yes—
1023C2×C4⋊C4C2412yes—
1024C2×C4⋊C4C2414yes—
1025C2×C4⋊C4C2411yescharacteristic
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2414yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2414yes—
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2414yes—
1035C2×C22⋊C4C2414yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2411yescharacteristic
1046C2×C22⋊C4C2411yescharacteristic
1047C2×C22⋊C4C2411yescharacteristic
1048C2×C22⋊C4C2411yescharacteristic
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2414yes—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2412yes—
1061C2×C22⋊C4C2414yes—
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2414yes—
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2412yes—
1066C2×C42—44no—
1067C2×C42—44no—
1068C2×C42C22×C4116yes—
1069C2×C42C22×C418yes—
1070C2×C42C2411yescharacteristic
1071C2×C42C2411yescharacteristic
1072C2×C42C2411yescharacteristic
1073C2×C42C2412yes—
1074C2×C42C2411yescharacteristic
1075C2×C42C2412yes—
1076C2×C42C2411yescharacteristic
1077C2×C42C2412yes—
1078C2×C42C2412yes—
1079C2×C42C2411yescharacteristic
1080C2×C42C2414yes—
1081C2×C42C2411yescharacteristic
1082C2×C42C2412yes—
1083C2×C42C2411yescharacteristic
1084C2×C42C2412yes—
1085C2×C42C2412yes—
1086C2×C42C2414yes—
1087C2×C42C2412yes—
1088C2×C42C2414yes—
1089C2×C42C2414yes—
1090C2×C42C2414yes—
1091C2×C42C2414yes—
1092C2×C42C2412yes—
1093C2×C42C2414yes—
1094C2×C42C2414yes—
1095C2×C42C2411yescharacteristic
1096C2×C42C2411yescharacteristic
1097C2×C42C2414yes—
1098C2×C42C2414yes—
1099C2×C42C2414yes—
1100C2×C42C2414yes—
1101C2×C42C2412yes—
1102C2×C42C2414yes—
1103C2×C42C2414yes—
1104C2×C42C2414yes—
1105C2×C42C2412yes—
1106C2×C42C2412yes—
1107C2×C42C2414yes—
1108C2×C42C2412yes—
1109C2×C42C2411yescharacteristic
1110C2×C42C2411yescharacteristic
1111C2×C42C2412yes—
1112C2×C42C2412yes—
1113C2×C42C2412yes—
1114C2×C42C2412yes—
1115C2×C42C2411yescharacteristic
1116C2×C42C2414yes—
1117C2×C42C2414yes—
1118C2×C42C2411yescharacteristic
1119C2×C42C2412yes—
1120C2×C42C2412yes—
1121C2×C42C2411yescharacteristic
1122C2×C42C2412yes—
1123C2×C42C2411yescharacteristic
1124#95C2412yes—
1125#95C2414yes—
1126#95C2414yes—
1127#95C2412yes—
1128#95C2414yes—
1129#95C2412yes—
1130#95C2412yes—
1131#95C2412yes—
1132#95C2411yescharacteristic
1133#95C2412yes—
1134#95C2412yes—
1135#95C2414yes—
1136#95C2411yescharacteristic
1137#95C2411yescharacteristic
1138#95C2411yescharacteristic
1139#95C2411yescharacteristic
1140#95C2412yes—
1141#95C2412yes—
1142#95C2412yes—
1143#95C2412yes—
1144#95C2411yescharacteristic
1145#95C2414yes—
1146#95C2411yescharacteristic
1147#95C2411yescharacteristic
1148#95C2414yes—
1149#95C2412yes—
1150#95C2412yes—
1151#95C2414yes—
1152#95C2414yes—
1153#95C2414yes—
1154#95C2412yes—
1155#95C2412yes—
1156#95C2412yes—
1157#95C2412yes—
1158#95C2414yes—
1159#95C2414yes—
1160#95C2412yes—
1161#95C2412yes—
1162#95C2412yes—
1163#95C2414yes—
1164#95C2412yes—
1165#95C2412yes—
1166#95C2412yes—
1167#95C2412yes—
1168#95C2412yes—
1169#95C2414yes—
1170#95C2412yes—
1171#95C2414yes—
1172#95C2414yes—
1173#95C2412yes—
1174#95C2414yes—
1175#95C2414yes—
1176#95C2414yes—
1177#95C2414yes—
1178#95C2414yes—
1179#95C2414yes—
1180#95C2414yes—
1181#95C2412yes—
1182#95C2412yes—
1183#95C2414yes—
1184#95C2414yes—
1185#95C2414yes—
1186#95C2412yes—
1187#95C2412yes—
1188#95C2414yes—
1189#95C2414yes—
1190#95C2412yes—
1191#95C2412yes—
1192#95C2414yes—
1193#95C2412yes—
1194#95C2412yes—
1195#95C2412yes—
1196C24C2512yes—
1197C24C2511yescharacteristic
1198C24C2512yes—
1199#41—416no—
1200#41—432no—
1201C2×Q8—22no—
1202C2×Q8—22no—
1203C2×Q8—22no—
1204C2×Q8—24no—
1205C2×Q8—24no—
1206C2×Q8—22no—
1207C2×Q8—42no—
1208C2×Q8—42no—
1209C2×Q8C23×C414yes—
1210C2×Q8C23×C414yes—
1211C2×Q8C23×C418yes—
1212C2×Q8C23×C418yes—
1213C2×D4—22no—
1214C2×D4—22no—
1215C2×D4—22no—
1216C2×D4—22no—
1217C2×D4—42no—
1218C2×D4—42no—
1219C2×D4—44no—
1220C2×D4—42no—
1221C2×D4—42no—
1222C2×D4—44no—
1223C2×D4C23×C414yes—
1224C2×D4C23×C414yes—
1225C2×D4C23×C418yes—
1226C2×D4C23×C4116yes—
1227C2×D4C23×C418yes—
1228C22×C4—24no—
1229C22×C4—22no—
1230C22×C4—22no—
1231C22×C4—24no—
1232C22×C4—22no—
1233C22×C4—22no—
1234C22×C4—24no—
1235C22×C4—24no—
1236C22×C4—24no—
1237C22×C4—44no—
1238C22×C4—41no—
1239C22×C4—42no—
1240C22×C4—44no—
1241C22×C4—41no—
1242C22×C4—42no—
1243C22×C4—44no—
1244C22×C4—44no—
1245C22×C4—44no—
1246C22×C4—44no—
1247C22×C4—42no—
1248C22×C4—42no—
1249C22×C4—42no—
1250C22×C4—42no—
1251C22×C4—42no—
1252C22×C4—42no—
1253C22×C4—42no—
1254C22×C4—42no—
1255C22×C4—42no—
1256C22×C4—42no—
1257C22×C4—42no—
1258C22×C4—42no—
1259C22×C4—42no—
1260C22×C4—44no—
1261C22×C4—44no—
1262C22×C4—44no—
1263C22×C4C23×C418yes—
1264C22×C4C23×C414yes—
1265C22×C4C23×C414yes—
1266C22×C4C23×C418yes—
1267C22×C4C23×C418yes—
1268C22×C4C23×C418yes—
1269C22×C4C23×C414yes—
1270C22×C4C23×C4116yes—
1271C22×C4C23×C4116yes—
1272C22×C4C23×C4116yes—
1273C22×C4C2511yescharacteristic
1274C22×C4C2511yescharacteristic
1275C22×C4C2512yes—
1276C22×C4C2512yes—
1277C22×C4C2512yes—
1278C22×C4C2511yescharacteristic
1279C22×C4C2511yescharacteristic
1280C22×C4C2512yes—
1281C22×C4C2514yes—
1282C22×C4C2511yescharacteristic
1283C22×C4C2511yescharacteristic
1284C22×C4C2512yes—
1285C22×C4C2511yescharacteristic
1286C22×C4C2512yes—
1287C22×C4C2512yes—
1288C22×C4C2514yes—
1289C22×C4C2511yescharacteristic
1290C22×C4C2511yescharacteristic
1291C22×C4C2511yescharacteristic
1292C22×C4C2512yes—
1293C22×C4C2512yes—
1294C22×C4C2511yescharacteristic
1295C22×C4C2514yes—
1296C22×C4C2512yes—
1297C22×C4C2514yes—
1298C22×C4C2512yes—
1299C22×C4C2512yes—
1300C22×C4C2511yescharacteristic
1301C22×C4C2512yes—
1302C22×C4C2512yes—
1303C22×C4C2511yescharacteristic
1304C22×C4C2511yescharacteristic
1305C4⋊C4—22no—
1306C4⋊C4—24no—
1307C4⋊C4—24no—
1308C4⋊C4—22no—
1309C4⋊C4—22no—
1310C4⋊C4—22no—
1311C4⋊C4—22no—
1312C4⋊C4—24no—
1313C4⋊C4—22no—
1314C4⋊C4—22no—
1315C4⋊C4—24no—
1316C4⋊C4—24no—
1317C4⋊C4—44no—
1318C4⋊C4—42no—
1319C4⋊C4—42no—
1320C4⋊C4—42no—
1321C4⋊C4—44no—
1322C4⋊C4—44no—
1323C4⋊C4—44no—
1324C4⋊C4—42no—
1325C4⋊C4—44no—
1326C4⋊C4—42no—
1327C4⋊C4—42no—
1328C4⋊C4—42no—
1329C4⋊C4—42no—
1330C4⋊C4—42no—
1331C4⋊C4—42no—
1332C4⋊C4—42no—
1333C4⋊C4—42no—
1334C4⋊C4—41no—
1335C4⋊C4—41no—
1336C4⋊C4—41no—
1337C4⋊C4—41no—
1338C4⋊C4—42no—
1339C4⋊C4—42no—
1340C4⋊C4—44no—
1341C4⋊C4—44no—
1342C4⋊C4—44no—
1343C4⋊C4—42no—
1344C4⋊C4—42no—
1345C4⋊C4—44no—
1346C4⋊C4—42no—
1347C4⋊C4—44no—
1348C4⋊C4—44no—
1349C4⋊C4—44no—
1350C4⋊C4—44no—
1351C4⋊C4—44no—
1352C4⋊C4—44no—
1353C4⋊C4C23×C414yes—
1354C4⋊C4C23×C4116yes—
1355C4⋊C4C23×C418yes—
1356C4⋊C4C23×C414yes—
1357C4⋊C4C23×C418yes—
1358C4⋊C4C23×C414yes—
1359C4⋊C4C23×C418yes—
1360C4⋊C4C23×C418yes—
1361C4⋊C4C23×C4116yes—
1362C4⋊C4C23×C418yes—
1363C4⋊C4C23×C4116yes—
1364C4⋊C4C23×C4116yes—
1365C4⋊C4C23×C4116yes—
1366C4⋊C4C23×C4116yes—
1367C4⋊C4C23×C4116yes—
1368C4⋊C4C23×C4116yes—
1369C4⋊C4C23×C418yes—
1370C4⋊C4C23×C418yes—
1371C4⋊C4C23×C414yes—
1372C4⋊C4C23×C418yes—
1373C4⋊C4C23×C4116yes—
1374C4⋊C4C23×C418yes—
1375C4⋊C4C23×C418yes—
1376C4⋊C4C23×C4116yes—
1377C4⋊C42−1+414yes—
1378C22⋊C4—24no—
1379C22⋊C4—28no—
1380C22⋊C4—24no—
1381C22⋊C4—42no—
1382C22⋊C4—42no—
1383C22⋊C4—42no—
1384C22⋊C4—41no—
1385C22⋊C4—41no—
1386C22⋊C4—42no—
1387C22⋊C4—42no—
1388C22⋊C4—42no—
1389C22⋊C4—42no—
1390C22⋊C4—41no—
1391C22⋊C4—42no—
1392C22⋊C4—42no—
1393C22⋊C4—41no—
1394C22⋊C4—44no—
1395C22⋊C4—42no—
1396C22⋊C4—44no—
1397C22⋊C4—42no—
1398C22⋊C4—42no—
1399C22⋊C4—44no—
1400C22⋊C4—44no—
1401C22⋊C4—42no—
1402C22⋊C4—44no—
1403C22⋊C4—44no—
1404C22⋊C4—44no—
1405C22⋊C4—42no—
1406C22⋊C4C23×C418yes—
1407C22⋊C4C23×C418yes—
1408C22⋊C4C23×C418yes—
1409C22⋊C4C23×C4116yes—
1410C22⋊C4C23×C418yes—
1411C22⋊C4C23×C418yes—
1412C22⋊C4C23×C418yes—
1413C22⋊C4C23×C4116yes—
1414C22⋊C4C23×C4116yes—
1415C22⋊C4C23×C4116yes—
1416C22⋊C4C23×C418yes—
1417C22⋊C4C23×C418yes—
1418C42—24no—
1419C42—28no—
1420C42—22no—
1421C42—24no—
1422C42—22no—
1423C42—22no—
1424C42—24no—
1425C42—24no—
1426C42—24no—
1427C42—22no—
1428C42—22no—
1429C42—22no—
1430C42—22no—
1431C42—22no—
1432C42—24no—
1433C42—42no—
1434C42—42no—
1435C42—42no—
1436C42—42no—
1437C42—42no—
1438C42—42no—
1439C42—44no—
1440C42—41no—
1441C42—41no—
1442C42—42no—
1443C42—44no—
1444C42—44no—
1445C42—42no—
1446C42—44no—
1447C42—42no—
1448C42—44no—
1449C42—44no—
1450C42—44no—
1451C42—44no—
1452C42—44no—
1453C42—44no—
1454C42—44no—
1455C42—42no—
1456C42—44no—
1457C42—44no—
1458C42—44no—
1459C42—44no—
1460C42—41no—
1461C42—41no—
1462C42C23×C414yes—
1463C42C23×C418yes—
1464C42C23×C414yes—
1465C42C23×C414yes—
1466C42C23×C418yes—
1467C42C23×C414yes—
1468C42C23×C418yes—
1469C42C23×C4116yes—
1470C42C23×C4116yes—
1471C42C23×C418yes—
1472C23—22no—
1473C23—21no—
1474C23—22no—
1475C23—22no—
1476C23—22no—
1477C23—22no—
1478C23—21no—
1479C23—21no—
1480C23—21no—
1481C23—22no—
1482C23—22no—
1483C23—22no—
1484C23—22no—
1485C23—21no—
1486C23—22no—
1487C23—22no—
1488C23—22no—
1489C23—21no—
1490C23C24×C412yes—
1491C23C24×C414yes—
1492C23C24×C414yes—
1493C23C2611yescharacteristic
1494Q8—28no—
1495Q8—216no—
1496Q8—28no—
1497Q8—48no—
1498D4—28no—
1499D4—28no—
1500D4—48no—
1501D4—416no—
1502D4—48no—
1503C2×C4—21no—
1504C2×C4—22no—
1505C2×C4—22no—
1506C2×C4—22no—
1507C2×C4—21no—
1508C2×C4—22no—
1509C2×C4—22no—
1510C2×C4—22no—
1511C2×C4—22no—
1512C2×C4—22no—
1513C2×C4—24no—
1514C2×C4—24no—
1515C2×C4—22no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—22no—
1520C2×C4—24no—
1521C2×C4—21no—
1522C2×C4—22no—
1523C2×C4—22no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—22no—
1527C2×C4—24no—
1528C2×C4—22no—
1529C2×C4—216no—
1530C2×C4—28no—
1531C2×C4—28no—
1532C2×C4—216no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—22no—
1536C2×C4—24no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—22no—
1542C2×C4—21no—
1543C2×C4—22no—
1544C2×C4—22no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—22no—
1548C2×C4—22no—
1549C2×C4—22no—
1550C2×C4—22no—
1551C2×C4—21no—
1552C2×C4—21no—
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—24no—
1562C2×C4—22no—
1563C2×C4—22no—
1564C2×C4—24no—
1565C2×C4—22no—
1566C2×C4—22no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—22no—
1570C2×C4—24no—
1571C2×C4—21no—
1572C2×C4—22no—
1573C2×C4—22no—
1574C2×C4—24no—
1575C2×C4—22no—
1576C2×C4—21no—
1577C2×C4—21no—
1578C2×C4—22no—
1579C2×C4—21no—
1580C2×C4—21no—
1581C2×C4—22no—
1582C2×C4—21no—
1583C2×C4—22no—
1584C2×C4—48no—
1585C2×C4—416no—
1586C2×C4—44no—
1587C2×C4—416no—
1588C2×C4—48no—
1589C2×C4—416no—
1590C2×C4—84no—
1591C2×C4—84no—
1592C2×C4—84no—
1593C2×C4—84no—
1594C2×C4—164no—
1595C2×C4C24×C412yes—
1596C2×C4C24×C412yes—
1597C2×C4C24×C412yes—
1598C2×C4C24×C414yes—
1599C2×C4C24×C414yes—
1600C2×C4C24×C414yes—
1601C2×C4C24×C412yes—
1602C2×C4C24×C414yes—
1603C2×C4C24×C418yes—
1604C2×C4C24×C418yes—
1605C2×C4C24×C414yes—
1606C2×C4C24×C414yes—
1607C2×C4C24×C412yes—
1608C2×C4C24×C412yes—
1609C2×C4C2×2−1+414yes—
1610C2×C4C2×2−1+412yes—
1611C2×C4#58512yes—
1612C2×C4#58512yes—
1613C2×C4#58512yes—
1614C22—24no—
1615C22—22no—
1616C22—24no—
1617C22—24no—
1618C22—22no—
1619C22—24no—
1620C22—24no—
1621C22—24no—
1622C22—22no—
1623C22—41no—
1624C22—42no—
1625C22—42no—
1626C22—41no—
1627C22—42no—
1628C22—42no—
1629C22—42no—
1630C22—41no—
1631C22—42no—
1632C22—41no—
1633C22—42no—
1634C22—42no—
1635C22C25×C411yescharacteristic
1636C22C22×2−1+411yescharacteristic
1637C22C2×#58511yescharacteristic
1638C22C2×#58511yescharacteristic
1639C22C2×#58511yescharacteristic
1640C22H(7,𝔽2)11yescharacteristic
1641C222−1+611yescharacteristic
1642C4—24no—
1643C4—22no—
1644C4—24no—
1645C4—28no—
1646C4—22no—
1647C4—24no—
1648C4—24no—
1649C4—22no—
1650C4—24no—
1651C4—24no—
1652C4—28no—
1653C4—22no—
1654C4—24no—
1655C4—41no—
1656C4—42no—
1657C4—42no—
1658C4—41no—
1659C4—42no—
1660C4—44no—
1661C4—41no—
1662C4—41no—
1663C4—42no—
1664C4—42no—
1665C4—42no—
1666C4—41no—
1667C4—41no—
1668C4—41no—
1669C4—41no—
1670C4—42no—
1671C4—44no—
1672C4#342814yes—
1673C4C4×2−1+414yes—
1674C2—42no—
1675C2—44no—
1676C2—44no—
1677C2C2×#342811yescharacteristic
1678C2C2×C4×2−1+411yescharacteristic
1679C2#6265411yescharacteristic
1680C2#6293711yescharacteristic
1681C2#6293911yescharacteristic
1682C2#6295011yescharacteristic
1683C2#6295211yescharacteristic
subgroupG/H
center, Frattini, socle, cosocleC23C26
commutatorC22C25×C4
prime radicalC2×#3515C2
LCSG ▷ C22 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
2. #34507C2semidirect
3. #34488C2semidirect
4. #34484C2semidirect
5. #34484C2semidirect
6. #34482C2semidirect
7. #34482C2semidirect
8. #34480C2semidirect
9. #34480C2semidirect
10. #34473C2semidirect
11. #34466C2semidirect
12. #34465C2semidirect
13. #34462C2semidirect
14. #34452C2semidirect
15. #34444C2semidirect
16. #34383C2semidirect
17. #34378C2semidirect
18. #34337C2semidirect
19. #34332C2semidirect
20. #34317C2semidirect
21. #34316C2semidirect
22. #34301C2semidirect
23. #34300C2semidirect
24. #34286C2semidirect
25. #34263C2semidirect
26. #34253C2semidirect
27. #34243C2semidirect
28. #34237C2semidirect
29. #34225C2semidirect
30. #34217C2semidirect
31. #34151C2semidirect
32. #34145C2semidirect
33. #34129C2semidirect
34. C4×#541C2semidirect
35. #34060C2semidirect
36. #3515C4semidirect
302. #557C2×C4semidirect
303. #554C2×C4semidirect
304. #554C2×C4semidirect
306. #552C2×C4semidirect
307. #552C2×C4semidirect
308. #552C2×C4semidirect
309. #547C2×C4semidirect
310. #547C2×C4semidirect
311. #541C2×C4semidirect
312. #539C2×C4semidirect
313. #533C2×C4semidirect
318. #529C2×C4semidirect
323. C2×#125C2×C4semidirect
350. #520C2×C4semidirect
351. C4×#41C2×C4semidirect

Maximal subgroups

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

subgroupindex
C2×#35152
#345072
#344882
#344842
#344822
#344802
#344732
#344662
#344652
#344622
#344522
#344442
#343832
#343782
#343372
#343322
#343172
#343162
#343012
#343002
#342862
#342632
#342532
#342432
#342372
#342252
#342172
#341512
#341452
#341292
C4×#5412
#340602