Finite Group Databasebeta

← #7626957

Subgroups — #7626957

Order 512.

7544 conjugacy classes of subgroups.

The subgroup lattice has 1647 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3508C211yesmaximal, characteristic
2#34510C214yesmaximal, complemented
3#34500C212yesmaximal, complemented
4#34477C212yesmaximal, complemented
5#34477C214yesmaximal, complemented
6#34476C212yesmaximal, complemented
7#34456C214yesmaximal, complemented
8#34450C214yesmaximal, complemented
9#34450C214yesmaximal, complemented
10#34406C214yesmaximal, complemented
11#34402C211yesmaximal, characteristic, complemented
12#34402C211yesmaximal, characteristic, complemented
13#34399C211yesmaximal, characteristic, complemented
14#34398C211yesmaximal, characteristic, complemented
15#34367C211yesmaximal, characteristic, complemented
16#34364C211yesmaximal, characteristic, complemented
17#34329C212yesmaximal, complemented
18#34320C212yesmaximal, complemented
19#34302C214yesmaximal, complemented
20#34295C212yesmaximal, complemented
21#34288C212yesmaximal, complemented
22#34251C214yesmaximal, complemented
23#34222C211yesmaximal, characteristic, complemented
24#34221C211yesmaximal, characteristic, complemented
25#34208C211yesmaximal, characteristic, complemented
26#34191C211yesmaximal, characteristic, complemented
27C4×#546C212yesmaximal, complemented
28#34123C211yesmaximal, characteristic, complemented
29#34086C211yesmaximal, characteristic, complemented
30#34070C211yesmaximal, characteristic, complemented
31C2×#2328C211yesmaximal, characteristic, complemented
32#3508C4132yescomplemented
33C2×#559C2212yes—
34C2×#559C2212yes—
35C2×#550C2212yes—
36C2×#550C2212yes—
37C2×#546C2212yes—
38C2×#546C2212yes—
39C2×#546C2212yes—
40C2×#546C2212yes—
41C2×#540C2212yes—
42C2×#540C2212yes—
43C2×#535C2212yes—
44C2×#533C2211yescharacteristic
45C2×#532C2211yescharacteristic
46C2×#532C2211yescharacteristic
47C2×#532C2211yescharacteristic
48C2×#532C2211yescharacteristic
49C22×#127C2211yescharacteristic
50C2×#520C2212yescomplemented
51C2×#518C2212yes—
52C2×C4×#41C2211yescharacteristic
53C2×C4×#41C2212yescomplemented
54C22×C4×D4C2212yes—
55#2382C2214yescomplemented
56#2380C2214yes—
57#2380C2214yescomplemented
58#2379C2214yescomplemented
59#2379C2214yescomplemented
60#2377C2214yescomplemented
61#2377C2214yescomplemented
62#2377C2214yescomplemented
63#2377C2214yescomplemented
64#2377C2214yescomplemented
65#2376C2214yescomplemented
66#2376C2214yescomplemented
67#2374C2214yescomplemented
68#2374C2214yescomplemented
69#2372C2214yescomplemented
70#2372C2214yescomplemented
71#2371C2214yescomplemented
72#2368C2214yes—
73#2367C2212yescomplemented
74#2367C2212yescomplemented
75#2367C2212yescomplemented
76#2367C2212yescomplemented
77#2366C2212yes—
78#2366C2212yes—
79#2366C2214yescomplemented
80#2364C2214yescomplemented
81#2364C2214yescomplemented
82#2364C2214yescomplemented
83#2364C2214yescomplemented
84#2364C2214yescomplemented
85#2363C2212yescomplemented
86#2363C2214yescomplemented
87#2363C2212yescomplemented
88#2363C2214yescomplemented
89#2361C2212yescomplemented
90#2361C2212yescomplemented
91#2361C2214yescomplemented
92#2361C2214yescomplemented
93#2360C2212yes—
94#2360C2212yes—
95#2359C2214yescomplemented
96#2359C2214yescomplemented
97#2359C2214yescomplemented
98#2359C2214yescomplemented
99#2358C2214yes—
100#2358C2214yes—
101#2358C2214yes—
102#2358C2214yes—
103#2357C2212yescomplemented
104#2356C2212yescomplemented
105#2356C2212yescomplemented
106#2356C2214yescomplemented
107#2355C2212yescomplemented
108#2354C2212yescomplemented
109#2353C2212yes—
110#2353C2214yescomplemented
111#2353C2212yescomplemented
112#2353C2214yescomplemented
113#2353C2214yescomplemented
114#2353C2214yescomplemented
115#2353C2214yescomplemented
116#2352C2212yes—
117#2352C2214yescomplemented
118#2352C2212yescomplemented
119#2352C2214yescomplemented
120#2352C2214yescomplemented
121#2352C2214yescomplemented
122#2352C2214yescomplemented
123#2351C2212yescomplemented
124#2349C2212yes—
125#2349C2212yescomplemented
126D4×C4⋊C4C2212yes—
127D4×C4⋊C4C2212yescomplemented
128#2346C2212yescomplemented
129#2346C2212yescomplemented
130#2343C2212yes—
131#2343C2214yes—
132#2343C2214yes—
133#2343C2212yes—
134#2343C2212yescomplemented
135#2343C2212yescomplemented
136#2342C2214yes—
137#2342C2214yes—
138#2342C2214yes—
139#2342C2214yes—
140#2341C2212yescomplemented
141#2341C2212yescomplemented
142#2339C2212yes—
143#2339C2212yes—
144#2339C2214yescomplemented
145#2339C2212yescomplemented
146#2339C2212yescomplemented
147#2339C2214yescomplemented
148D4×C22⋊C4C2212yes—
149D4×C22⋊C4C2212yes—
150D4×C22⋊C4C2214yes—
151#2337C2214yescomplemented
152#2337C2214yescomplemented
153#2337C2214yescomplemented
154#2337C2214yescomplemented
155#2335C2214yescomplemented
156#2335C2214yescomplemented
157#2335C2214yescomplemented
158#2335C2214yescomplemented
159#2333C2214yescomplemented
160#2333C2214yescomplemented
161#2333C2214yescomplemented
162#2333C2214yescomplemented
163#2333C2214yescomplemented
164#2331C2211yescharacteristic, complemented
165#2331C2211yescharacteristic, complemented
166#2331C2211yescharacteristic, complemented
167#2331C2211yescharacteristic, complemented
168#2329C2214yes—
169#2328C2211yescharacteristic
170#2328C2212yes—
171#2328C2211yescharacteristic
172#2328C2211yescharacteristic
173#2328C2214yes—
174#2328C2211yescharacteristic
175#2328C2212yes—
176#2328C2214yes—
177#2328C2211yescharacteristic
178#2328C2211yescharacteristic
179#2328C2211yescharacteristic
180#2328C2211yescharacteristic
181#2328C2214yes—
182#2328C2214yescomplemented
183#2328C2214yescomplemented
184#2327C2211yescharacteristic, complemented
185#2327C2211yescharacteristic, complemented
186#2327C2211yescharacteristic, complemented
187#2327C2211yescharacteristic, complemented
188#2326C2212yescomplemented
189#2326C2212yescomplemented
190#2325C2214yescomplemented
191#2325C2214yescomplemented
192#2325C2214yescomplemented
193#2325C2214yescomplemented
194#2325C2214yescomplemented
195#2324C2212yescomplemented
196#2324C2212yescomplemented
197#2324C2214yescomplemented
198#2324C2214yescomplemented
199#2322C2214yescomplemented
200#2322C2214yescomplemented
201#2321C2214yes—
202#2321C2214yes—
203#2320C2214yescomplemented
204#2320C2212yescomplemented
205#2320C2212yescomplemented
206#2319C2212yescomplemented
207#2318C2212yes—
208#2318C2214yescomplemented
209#2318C2214yescomplemented
210#2318C2214yescomplemented
211#2318C2212yescomplemented
212#2318C2214yescomplemented
213#2318C2214yescomplemented
214#2315C2214yes—
215#2311C2214yescomplemented
216#2311C2212yescomplemented
217#2308C2214yes—
218C4×#124C2212yescomplemented
219C4×#124C2212yescomplemented
220C4×C22⋊Q8C2212yes—
221C4×C22⋊Q8C2212yes—
222C4×#123C2214yescomplemented
223C4×#123C2214yescomplemented
224C4×#121C2212yescomplemented
225C4×#121C2214yescomplemented
226C4×#121C2212yescomplemented
227C4×#121C2214yescomplemented
228C4×#120C2214yes—
229C4×#120C2214yes—
230#2297C2212yescomplemented
231#2297C2214yescomplemented
232#2295C2211yescharacteristic, complemented
233#2295C2211yescharacteristic, complemented
234#2293C2212yescomplemented
235C2×#390C2212yes—
236#2290C2211yescharacteristic
237#2290C2211yescharacteristic
238#2290C2214yescomplemented
239#2290C2214yescomplemented
240#2290C2214yescomplemented
241#2290C2214yescomplemented
242#2290C2211yescharacteristic, complemented
243#2290C2211yescharacteristic, complemented
244#2290C2214yescomplemented
245C2×#386C2214yes—
246C2×#386C2214yes—
247C2×#385C2214yes—
248#2285C2211yescharacteristic, complemented
249#2283C2211yescharacteristic
250#2283C2211yescharacteristic
251#2283C2211yescharacteristic, complemented
252#2283C2211yescharacteristic, complemented
253#2283C2211yescharacteristic, complemented
254#2283C2211yescharacteristic, complemented
255C2×#382C2211yescharacteristic
256C2×#382C2211yescharacteristic, complemented
257#2276C2212yescomplemented
258#2275C2212yes—
259#2275C2212yescomplemented
260#2273C2214yes—
261C42×D4C2211yescharacteristic
262C42×D4C2211yescharacteristic
263C42×D4C2212yescomplemented
264C4×#117C2211yescharacteristic, complemented
265C2×C4×C22⋊C4C2214yes—
266C2×#376C2211yescharacteristic
267C2×#376C2211yescharacteristic, complemented
268C22×#41C2311yescharacteristic
269C22×#41C2312yes—
270C22×#41C2312yes—
271C22×#41C2312yes—
272C22×#41C2312yes—
273C23×D4C2312yes—
274C23×D4C2312yes—
275C23×D4C2312yes—
276C24×C4C2314yes—
277#559C2×C4132yescomplemented
278#559C2×C4132yescomplemented
279#550C2×C4132yescomplemented
280#550C2×C4132yescomplemented
281#546C2×C4132yescomplemented
282#546C2×C4132yescomplemented
283#546C2×C4132yescomplemented
284#546C2×C4132yescomplemented
285#540C2×C4132yescomplemented
286#540C2×C4132yescomplemented
287#535C2×C4132yescomplemented
288#533C2×C4116yescomplemented
289#532C2×C4116yescomplemented
290#532C2×C4116yescomplemented
291#532C2×C4116yescomplemented
292#532C2×C4116yescomplemented
293C2×C4⋊Q8C2311yescharacteristic
294C2×C4⋊Q8C2311yescharacteristic
295C2×#127C2×C4116yescomplemented
296C2×#127C2311yescharacteristic
297C2×#127C2311yescharacteristic
298C2×#127C2312yes—
299C2×#127C2312yes—
300C2×#127C2312yes—
301C2×#127C2314yes—
302C2×#125C2312yes—
303C2×#124C2312yes—
304C2×#124C2312yes—
305C2×#124C2314yes—
306C2×#124C2312yes—
307C2×#124C2312yes—
308C2×#123C2314yes—
309C2×#123C2314yes—
310C2×#123C2314yes—
311C2×#123C2314yes—
312C2×C22⋊Q8C2312yes—
313C2×C22⋊Q8C2312yes—
314C2×#121C2312yes—
315C2×#121C2314yes—
316C2×#121C2314yes—
317C2×#121C2312yes—
318C2×#121C2312yes—
319C2×#121C2312yes—
320C2×#121C2312yes—
321C2×#121C2314yes—
322C2×#121C2314yes—
323C2×#121C2312yes—
324C2×#121C2312yes—
325C2×#121C2312yes—
326C2×#120C2314yes—
327C2×#120C2314yes—
328#520—48no—
329#518C2×C4132yescomplemented
330C4×#41—48no—
331C4×#41C2×C4116yescomplemented
332C2×C4×Q8C2312yes—
333C2×C4×Q8C2312yes—
334C2×C4×Q8C2312yes—
335C2×C4×Q8C2312yes—
336C2×C4×Q8C2311yescharacteristic
337C2×C4×Q8C2312yes—
338C2×C4×Q8C2312yes—
339C2×C4×Q8C2311yescharacteristic
340C2×C4×D4—48no—
341C2×C4×D4C2312yes—
342C2×C4×D4C2312yes—
343C2×C4×D4C2312yes—
344C2×C4×D4C2314yes—
345C2×C4×D4C2314yes—
346C2×C4×D4C2314yes—
347C2×C4×D4C2312yes—
348C2×C4×D4C2314yes—
349C2×C4×D4C2314yes—
350C2×C4×D4C2312yes—
351C2×C4×D4C2312yes—
352C2×C4×D4C2312yes—
353C2×C4×D4C2314yes—
354C2×C4×D4C2312yes—
355C2×C4×D4C2312yes—
356C2×C4×D4C2314yes—
357C2×C4×D4C2312yes—
358C2×C4×D4C2314yes—
359C2×C4×D4C2314yes—
360C2×C4×D4C2314yes—
361C2×C4×D4C2314yes—
362C2×C4×D4C2314yes—
363C2×C4×D4C2314yes—
364C2×C4×D4C2311yescharacteristic
365C2×C4×D4C2311yescharacteristic
366C2×C4×D4C2311yescharacteristic
367C2×C4×D4C2311yescharacteristic
368C2×C4×D4C2312yes—
369C2×C4×D4C2311yescharacteristic
370C2×C4×D4C2312yes—
371C2×C4×D4C2312yes—
372C2×C4×D4C2314yes—
373C2×C4×D4C2314yes—
374C2×C4×D4C2312yes—
375C2×C4×D4C2312yes—
376C2×C4×D4C2312yes—
377C2×C4×D4C2312yes—
378C2×C4×D4C2311yescharacteristic
379C2×C4×D4C2312yes—
380C2×#117C2311yescharacteristic
381C2×#117C2311yescharacteristic
382C2×#117C2314yes—
383C2×#117C2314yes—
384C2×#117C2312yes—
385C2×#117C2314yes—
386C2×#117C2314yes—
387C2×#117C2311yescharacteristic
388C2×#117C2312yes—
389C2×#117C2311yescharacteristic
390C2×#117C2311yescharacteristic
391C22×C4⋊C4C2312yes—
392C22×C4⋊C4C2314yes—
393C22×C4⋊C4C2312yes—
394C22×C4⋊C4C2314yes—
395C22×C22⋊C4C2314yes—
396C22×C22⋊C4C2314yes—
397C22×C22⋊C4C2314yes—
398C22×C22⋊C4C2314yes—
399C22×C22⋊C4C2314yes—
400C22×C22⋊C4C2314yes—
401C22×C22⋊C4C2314yes—
402C22×C42C2311yescharacteristic
403C22×C42C2311yescharacteristic
404C22×C42C2314yes—
405C22×C42C2311yescharacteristic
406C22×C42C2311yescharacteristic
407C22×C42C2314yes—
408C22×C42C2311yescharacteristic
409C22×C42C2311yescharacteristic
410C22×C42C2311yescharacteristic
411#391C2312yes—
412#391C2314yes—
413#391C2312yes—
414#391C2314yes—
415#391C2312yes—
416#391C2314yes—
417#391C2314yes—
418#391C2312yes—
419#391C2314yes—
420#391C2312yes—
421#391C2312yes—
422#390C2312yes—
423#390C2314yes—
424#390C2312yes—
425#390C2314yes—
426#390C2312yes—
427#390C2314yes—
428#390C2314yes—
429#390C2314yes—
430#390C2312yes—
431#390C2314yes—
432#390C2314yes—
433#390C2312yes—
434#390C2314yes—
435#390C2314yes—
436#390C2314yes—
437#390C2312yes—
438#390C2312yes—
439#390C2312yes—
440#390C2314yes—
441#390C2314yes—
442#389C2312yes—
443#389C2312yes—
444#389C2314yes—
445#389C2314yes—
446#389C2314yes—
447#389C2312yes—
448#389C2312yes—
449#389C2314yes—
450#389C2312yes—
451#389C2314yes—
452#389C2312yes—
453#388C2314yes—
454#388C2314yes—
455#388C2314yes—
456#388C2314yes—
457#388C2314yes—
458#388C2314yes—
459#388C2314yes—
460#388C2314yes—
461#388C2314yes—
462#388C2314yes—
463#388C2314yes—
464#388C2314yes—
465#388C2314yes—
466#388C2314yes—
467#388C2314yes—
468#388C2314yes—
469#388C2314yes—
470#388C2314yes—
471#388C2314yes—
472#388C2314yes—
473#388C2314yes—
474#388C2312yes—
475#388C2314yes—
476#388C2314yes—
477#388C2312yes—
478#388C2314yes—
479#388C2314yes—
480#388C2314yes—
481#388C2314yes—
482#388C2314yes—
483#388C2312yes—
484#388C2314yes—
485#388C2314yes—
486#388C2314yes—
487#388C2314yes—
488#388C2314yes—
489#388C2314yes—
490#388C2312yes—
491#387C2314yes—
492#387C2312yes—
493#387C2314yes—
494#387C2312yes—
495#387C2314yes—
496#387C2314yes—
497#387C2314yes—
498#387C2314yes—
499#387C2314yes—
500#387C2314yes—
501#387C2314yes—
502#387C2314yes—
503#387C2314yes—
504#387C2314yes—
505#387C2314yes—
506#387C2314yes—
507#387C2314yes—
508#387C2312yes—
509#387C2314yes—
510#387C2314yes—
511#387C2314yes—
512#387C2314yes—
513#387C2314yes—
514#387C2314yes—
515#387C2314yes—
516#387C2314yes—
517#387C2314yes—
518#387C2312yes—
519#387C2312yes—
520#387C2312yes—
521#387C2312yes—
522#387C2312yes—
523#386C2314yes—
524#386C2314yes—
525#386C2314yes—
526#386C2314yes—
527#386C2314yes—
528#386C2314yes—
529#386C2314yes—
530#386C2314yes—
531#386C2314yes—
532#386C2314yes—
533#386C2314yes—
534#386C2314yes—
535#386C2314yes—
536#386C2314yes—
537#386C2314yes—
538#386C2314yes—
539#386C2314yes—
540#386C2314yes—
541#386C2314yes—
542#386C2312yes—
543#386C2314yes—
544#386C2314yes—
545#386C2314yes—
546#386C2314yes—
547#386C2314yes—
548#386C2314yes—
549#386C2314yes—
550#386C2314yes—
551#386C2314yes—
552#386C2314yes—
553#386C2314yes—
554#386C2314yes—
555#386C2314yes—
556#386C2314yes—
557#386C2314yes—
558#386C2314yes—
559#386C2314yes—
560#386C2314yes—
561#386C2314yes—
562#386C2314yes—
563#386C2314yes—
564#386C2314yes—
565#386C2314yes—
566#386C2314yes—
567#386C2314yes—
568#386C2314yes—
569#386C2314yes—
570#386C2314yes—
571#386C2314yes—
572#386C2312yes—
573#386C2312yes—
574#386C2314yes—
575#386C2314yes—
576#386C2312yes—
577#385C2312yes—
578#385C2314yes—
579#385C2314yes—
580#385C2314yes—
581#385C2314yes—
582#385C2314yes—
583#385C2314yes—
584#385C2314yes—
585#385C2314yes—
586#385C2314yes—
587#385C2314yes—
588#385C2314yes—
589#385C2314yes—
590#385C2314yes—
591#385C2314yes—
592#385C2314yes—
593#385C2314yes—
594#385C2314yes—
595#385C2312yes—
596#385C2314yes—
597#385C2312yes—
598#385C2314yes—
599#385C2314yes—
600#385C2314yes—
601#385C2312yes—
602#385C2314yes—
603#384C2312yes—
604#383C2312yes—
605#383C2312yes—
606#383C2312yes—
607#383C2314yes—
608#383C2314yes—
609#383C2312yes—
610#383C2312yes—
611#383C2312yes—
612#382C2312yes—
613#382C2312yes—
614#382C2312yes—
615#382C2312yes—
616#382C2312yes—
617#382C2314yes—
618#382C2314yes—
619#382C2311yescharacteristic
620#382C2311yescharacteristic
621#382C2311yescharacteristic
622#382C2311yescharacteristic
623#382C2312yes—
624#382C2312yes—
625#382C2312yes—
626#382C2312yes—
627#381C2312yes—
628#381C2312yes—
629#381C2312yes—
630#381C2314yes—
631#381C2314yes—
632#381C2314yes—
633#381C2314yes—
634#381C2312yes—
635#381C2312yes—
636#381C2312yes—
637#380C2312yes—
638#380C2312yes—
639#380C2314yes—
640#380C2314yes—
641#380C2314yes—
642#380C2314yes—
643#380C2314yes—
644#380C2314yes—
645#380C2314yes—
646#380C2314yes—
647#380C2312yes—
648#380C2312yes—
649#380C2312yes—
650#380C2312yes—
651#380C2312yes—
652#380C2312yes—
653#379C2314yes—
654#379C2314yes—
655C4×C4⋊C4C2312yes—
656C4×C4⋊C4C2312yes—
657C4×C4⋊C4C2314yes—
658C4×C4⋊C4C2312yes—
659C4×C4⋊C4C2312yes—
660C4×C4⋊C4C2312yes—
661C4×C4⋊C4C2314yes—
662C4×C4⋊C4C2314yes—
663C4×C4⋊C4C2312yes—
664C4×C4⋊C4C2312yes—
665C4×C4⋊C4C2312yes—
666C4×C4⋊C4C2314yes—
667C4×C4⋊C4C2314yes—
668C4×C4⋊C4C2312yes—
669C4×C4⋊C4C2314yes—
670C4×C4⋊C4C2312yes—
671C4×C4⋊C4C2312yes—
672C4×C4⋊C4C2312yes—
673C4×C4⋊C4C2311yescharacteristic
674C4×C4⋊C4C2311yescharacteristic
675C4×C4⋊C4C2311yescharacteristic
676C4×C4⋊C4C2312yes—
677C4×C4⋊C4C2311yescharacteristic
678C4×C4⋊C4C2311yescharacteristic
679C4×C4⋊C4C2314yes—
680C4×C4⋊C4C2311yescharacteristic
681C4×C22⋊C4C2312yes—
682C4×C22⋊C4C2312yes—
683C4×C22⋊C4C2314yes—
684C4×C22⋊C4C2314yes—
685C4×C22⋊C4C2314yes—
686C4×C22⋊C4C2314yes—
687C4×C22⋊C4C2314yes—
688C4×C22⋊C4C2314yes—
689C4×C22⋊C4C2314yes—
690C4×C22⋊C4C2314yes—
691C4×C22⋊C4C2314yes—
692C4×C22⋊C4C2314yes—
693C4×C22⋊C4C2312yes—
694C4×C22⋊C4C2312yes—
695C4×C22⋊C4C2312yes—
696C4×C22⋊C4C2314yes—
697C4×C22⋊C4C2314yes—
698C4×C22⋊C4C2314yes—
699C4×C22⋊C4C2314yes—
700C4×C22⋊C4C2314yes—
701C4×C22⋊C4C2314yes—
702C4×C22⋊C4C2314yes—
703C4×C22⋊C4C2314yes—
704C4×C22⋊C4C2314yes—
705C4×C22⋊C4C2314yes—
706C4×C22⋊C4C2314yes—
707C4×C22⋊C4C2314yes—
708C4×C22⋊C4C2314yes—
709C4×C22⋊C4C2311yescharacteristic
710C4×C22⋊C4C2311yescharacteristic
711C4×C22⋊C4C2311yescharacteristic
712C4×C22⋊C4C2311yescharacteristic
713C4×C22⋊C4C2311yescharacteristic
714C4×C22⋊C4C2311yescharacteristic
715C4×C22⋊C4C2314yes—
716C4×C22⋊C4C2312yes—
717C4×C22⋊C4C2312yes—
718C4×C22⋊C4C2314yes—
719C4×C22⋊C4C2314yes—
720C4×C22⋊C4C2314yes—
721C4×C22⋊C4C2312yes—
722C4×C22⋊C4C2314yes—
723C4×C22⋊C4C2314yes—
724C4×C22⋊C4C2314yes—
725C4×C22⋊C4C2312yes—
726#376C2311yescharacteristic
727#376C2311yescharacteristic
728#376C2314yes—
729#376C2312yes—
730#376C2311yescharacteristic
731#376C2311yescharacteristic
732#376C2311yescharacteristic
733#376C2311yescharacteristic
734#376C2311yescharacteristic
735#376C2312yes—
736#376C2312yes—
737#376C2312yes—
738#376C2311yescharacteristic
739#376C2314yes—
740#376C2312yes—
741#376C2312yes—
742#376C2312yes—
743C2×#95C2312yes—
744C2×#95C2314yes—
745C2×#95C2314yes—
746C2×#95C2314yes—
747C2×#95C2312yes—
748C2×#95C2312yes—
749C2×#95C2312yes—
750C2×#95C2312yes—
751C2×#95C2314yes—
752C2×#95C2312yes—
753C2×#95C2312yes—
754C2×#95C2312yes—
755C43C2311yescharacteristic
756C43C2311yescharacteristic
757C25C2414yes—
758C2×#41—44no—
759C2×#41—44no—
760C2×#41—44no—
761C2×#41—44no—
762C2×#41—44no—
763C2×#41—84no—
764C2×#41—84no—
765C2×#41C22×C418yes—
766C2×#41C22×C4116yescomplemented
767C2×#41C22×C4116yescomplemented
768C2×#41C22×C4116yescomplemented
769C2×#41C22×C4116yescomplemented
770C22×Q8C2412yes—
771C22×Q8C2411yescharacteristic
772C22×Q8C2412yes—
773C22×D4—44no—
774C22×D4—44no—
775C22×D4—48no—
776C22×D4—84no—
777C22×D4C22×C4116yes—
778C22×D4C22×C4116yes—
779C22×D4C22×C4116yes—
780C22×D4C2411yescharacteristic
781C22×D4C2411yescharacteristic
782C22×D4C2412yes—
783C22×D4C2412yes—
784C22×D4C2414yes—
785C22×D4C2414yes—
786C22×D4C2414yes—
787C22×D4C2414yes—
788C22×D4C2414yes—
789C22×D4C2414yes—
790C22×D4C2412yes—
791C22×D4C2412yes—
792C22×D4C2414yes—
793C22×D4C2411yescharacteristic
794C22×D4C2412yes—
795C22×D4C2412yes—
796C23×C4—48no—
797C23×C4—48no—
798C23×C4—84no—
799C23×C4C2412yes—
800C23×C4C2411yescharacteristic
801C23×C4C2411yescharacteristic
802C23×C4C2411yescharacteristic
803C23×C4C2411yescharacteristic
804C23×C4C2412yes—
805C23×C4C2414yes—
806C23×C4C2414yes—
807C23×C4C2412yes—
808C23×C4C2414yes—
809C23×C4C2414yes—
810C23×C4C2414yes—
811C23×C4C2414yes—
812C23×C4C2414yes—
813C23×C4C2414yes—
814C23×C4C2414yes—
815C23×C4C2414yes—
816C23×C4C2412yes—
817C23×C4C2414yes—
818C23×C4C2414yes—
819C23×C4C2414yes—
820C23×C4C2414yes—
821C23×C4C2411yescharacteristic
822C23×C4C2411yescharacteristic
823C23×C4C2411yescharacteristic
824C23×C4C2411yescharacteristic
825C23×C4C2411yescharacteristic
826C4⋊Q8C22×C418yescomplemented
827C4⋊Q8C22×C418yescomplemented
828#127C22×C418yes—
829#127C22×C418yes—
830#127C22×C4116yes—
831#127C22×C4116yes—
832#127C22×C4116yes—
833#127C22×C4132yescomplemented
834#125C22×C4116yescomplemented
835#124C22×C4116yescomplemented
836#124C22×C4116yescomplemented
837#124C22×C4116yescomplemented
838#124C22×C4116yescomplemented
839#124C22×C4132yescomplemented
840#123C22×C4132yescomplemented
841#123C22×C4132yescomplemented
842#123C22×C4132yescomplemented
843#123C22×C4132yescomplemented
844C22⋊Q8C22×C4116yes—
845C22⋊Q8C22×C4116yes—
846#121C22×C4116yescomplemented
847#121C22×C4116yescomplemented
848#121C22×C4116yescomplemented
849#121C22×C4116yescomplemented
850#121C22×C4116yescomplemented
851#121C22×C4116yescomplemented
852#121C22×C4116yescomplemented
853#121C22×C4116yescomplemented
854#121C22×C4132yescomplemented
855#121C22×C4132yescomplemented
856#121C22×C4132yescomplemented
857#121C22×C4132yescomplemented
858#120C22×C4132yes—
859#120C22×C4132yes—
860C4×Q8—28no—
861C4×Q8—44no—
862C4×Q8—44no—
863C4×Q8—44no—
864C4×Q8C22×C418yescomplemented
865C4×Q8C22×C418yescomplemented
866C4×Q8C22×C4116yescomplemented
867C4×Q8C22×C4116yescomplemented
868C4×D4—28no—
869C4×D4—28no—
870C4×D4—48no—
871C4×D4—48no—
872C4×D4—44no—
873C4×D4—44no—
874C4×D4—44no—
875C4×D4—44no—
876C4×D4—44no—
877C4×D4—44no—
878C4×D4—48no—
879C4×D4—48no—
880C4×D4—48no—
881C4×D4—48no—
882C4×D4—44no—
883C4×D4—44no—
884C4×D4—48no—
885C4×D4—84no—
886C4×D4—84no—
887C4×D4—84no—
888C4×D4—84no—
889C4×D4—84no—
890C4×D4—84no—
891C4×D4C22×C418yes—
892C4×D4C22×C418yes—
893C4×D4C22×C418yes—
894C4×D4C22×C418yes—
895C4×D4C22×C418yescomplemented
896C4×D4C22×C418yescomplemented
897C4×D4C22×C4116yescomplemented
898C4×D4C22×C4116yescomplemented
899C4×D4C22×C4116yescomplemented
900C4×D4C22×C4116yescomplemented
901C4×D4C22×C4132yescomplemented
902C4×D4C22×C4132yescomplemented
903C4×D4C22×C4116yescomplemented
904C4×D4C22×C4116yescomplemented
905C4×D4C22×C4116yescomplemented
906C4×D4C22×C4116yescomplemented
907#117—24no—
908#117—42no—
909#117—48no—
910#117—48no—
911#117—44no—
912#117—84no—
913#117—84no—
914#117C22×C418yes—
915#117C22×C4116yes—
916#117C22×C418yescomplemented
917#117C22×C418yescomplemented
918C2×C4⋊C4—44no—
919C2×C4⋊C4—48no—
920C2×C4⋊C4—44no—
921C2×C4⋊C4—84no—
922C2×C4⋊C4C2412yes—
923C2×C4⋊C4C2412yes—
924C2×C4⋊C4C2412yes—
925C2×C4⋊C4C2412yes—
926C2×C4⋊C4C2414yes—
927C2×C4⋊C4C2412yes—
928C2×C4⋊C4C2414yes—
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2414yes—
931C2×C4⋊C4C2414yes—
932C2×C4⋊C4C2414yes—
933C2×C4⋊C4C2414yes—
934C2×C4⋊C4C2414yes—
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2414yes—
937C2×C4⋊C4C2414yes—
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2414yes—
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2414yes—
945C2×C4⋊C4C2414yes—
946C2×C4⋊C4C2411yescharacteristic
947C2×C4⋊C4C2411yescharacteristic
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2411yescharacteristic
951C2×C4⋊C4C2411yescharacteristic
952C2×C4⋊C4C2411yescharacteristic
953C2×C4⋊C4C2411yescharacteristic
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2414yes—
957C2×C4⋊C4C2414yes—
958C2×C22⋊C4—48no—
959C2×C22⋊C4—48no—
960C2×C22⋊C4—48no—
961C2×C22⋊C4—48no—
962C2×C22⋊C4—84no—
963C2×C22⋊C4C22×C4132yes—
964C2×C22⋊C4C22×C4132yes—
965C2×C22⋊C4C2412yes—
966C2×C22⋊C4C2412yes—
967C2×C22⋊C4C2414yes—
968C2×C22⋊C4C2414yes—
969C2×C22⋊C4C2414yes—
970C2×C22⋊C4C2412yes—
971C2×C22⋊C4C2414yes—
972C2×C22⋊C4C2414yes—
973C2×C22⋊C4C2414yes—
974C2×C22⋊C4C2414yes—
975C2×C22⋊C4C2414yes—
976C2×C22⋊C4C2414yes—
977C2×C22⋊C4C2414yes—
978C2×C22⋊C4C2414yes—
979C2×C22⋊C4C2414yes—
980C2×C22⋊C4C2414yes—
981C2×C22⋊C4C2414yes—
982C2×C22⋊C4C2414yes—
983C2×C22⋊C4C2414yes—
984C2×C22⋊C4C2414yes—
985C2×C22⋊C4C2414yes—
986C2×C22⋊C4C2414yes—
987C2×C22⋊C4C2414yes—
988C2×C22⋊C4C2414yes—
989C2×C22⋊C4C2414yes—
990C2×C22⋊C4C2412yes—
991C2×C22⋊C4C2414yes—
992C2×C22⋊C4C2414yes—
993C2×C22⋊C4C2412yes—
994C2×C22⋊C4C2414yes—
995C2×C22⋊C4C2412yes—
996C2×C22⋊C4C2414yes—
997C2×C22⋊C4C2414yes—
998C2×C22⋊C4C2412yes—
999C2×C22⋊C4C2414yes—
1000C2×C22⋊C4C2412yes—
1001C2×C22⋊C4C2411yescharacteristic
1002C2×C22⋊C4C2411yescharacteristic
1003C2×C22⋊C4C2414yes—
1004C2×C22⋊C4C2414yes—
1005C2×C22⋊C4C2414yes—
1006C2×C22⋊C4C2414yes—
1007C2×C22⋊C4C2414yes—
1008C2×C22⋊C4C2411yescharacteristic
1009C2×C22⋊C4C2411yescharacteristic
1010C2×C22⋊C4C2411yescharacteristic
1011C2×C22⋊C4C2411yescharacteristic
1012C2×C22⋊C4C2414yes—
1013C2×C22⋊C4C2414yes—
1014C2×C22⋊C4C2414yes—
1015C2×C22⋊C4C2414yes—
1016C2×C42—24no—
1017C2×C42—24no—
1018C2×C42—48no—
1019C2×C42—42no—
1020C2×C42—42no—
1021C2×C42—84no—
1022C2×C42C22×C418yes—
1023C2×C42C22×C418yescomplemented
1024C2×C42C22×C418yescomplemented
1025C2×C42C2412yes—
1026C2×C42C2411yescharacteristic
1027C2×C42C2414yes—
1028C2×C42C2411yescharacteristic
1029C2×C42C2411yescharacteristic
1030C2×C42C2411yescharacteristic
1031C2×C42C2412yes—
1032C2×C42C2411yescharacteristic
1033C2×C42C2411yescharacteristic
1034C2×C42C2411yescharacteristic
1035C2×C42C2412yes—
1036C2×C42C2414yes—
1037C2×C42C2414yes—
1038C2×C42C2414yes—
1039C2×C42C2414yes—
1040C2×C42C2414yes—
1041C2×C42C2414yes—
1042C2×C42C2414yes—
1043C2×C42C2414yes—
1044C2×C42C2412yes—
1045C2×C42C2412yes—
1046C2×C42C2414yes—
1047C2×C42C2414yes—
1048C2×C42C2414yes—
1049C2×C42C2412yes—
1050C2×C42C2412yes—
1051C2×C42C2412yes—
1052C2×C42C2411yescharacteristic
1053C2×C42C2411yescharacteristic
1054C2×C42C2411yescharacteristic
1055C2×C42C2414yes—
1056C2×C42C2411yescharacteristic
1057C2×C42C2411yescharacteristic
1058C2×C42C2411yescharacteristic
1059C2×C42C2411yescharacteristic
1060C2×C42C2411yescharacteristic
1061C2×C42C2411yescharacteristic
1062C2×C42C2411yescharacteristic
1063C2×C42C2411yescharacteristic
1064#95C2412yes—
1065#95C2412yes—
1066#95C2412yes—
1067#95C2412yes—
1068#95C2412yes—
1069#95C2414yes—
1070#95C2412yes—
1071#95C2412yes—
1072#95C2412yes—
1073#95C2412yes—
1074#95C2412yes—
1075#95C2412yes—
1076#95C2412yes—
1077#95C2412yes—
1078#95C2412yes—
1079#95C2412yes—
1080#95C2412yes—
1081#95C2412yes—
1082#95C2412yes—
1083#95C2412yes—
1084#95C2414yes—
1085#95C2414yes—
1086#95C2414yes—
1087#95C2414yes—
1088#95C2412yes—
1089#95C2412yes—
1090#95C2414yes—
1091#95C2414yes—
1092#95C2414yes—
1093#95C2414yes—
1094#95C2414yes—
1095#95C2414yes—
1096#95C2414yes—
1097#95C2412yes—
1098#95C2412yes—
1099#95C2414yes—
1100#95C2414yes—
1101#95C2414yes—
1102#95C2412yes—
1103#95C2412yes—
1104#95C2414yes—
1105#95C2412yes—
1106#95C2412yes—
1107#95C2412yes—
1108#95C2414yes—
1109#95C2414yes—
1110#95C2414yes—
1111#95C2412yes—
1112#95C2412yes—
1113#95C2412yes—
1114#95C2414yes—
1115#95C2414yes—
1116#95C2414yes—
1117#95C2414yes—
1118#95C2414yes—
1119#95C2414yes—
1120#95C2412yes—
1121#95C2414yes—
1122#95C2412yes—
1123#95C2412yes—
1124#95C2412yes—
1125#95C2412yes—
1126C24—28no—
1127C24—28no—
1128C24—44no—
1129C24—44no—
1130C24—44no—
1131C24—44no—
1132C24C23×C4116yes—
1133C24C2514yes—
1134C24C2514yes—
1135C24C2511yescharacteristic
1136C24C2511yescharacteristic
1137C24C2511yescharacteristic
1138#41—416no—
1139#41—432no—
1140#41—432no—
1141#41—816no—
1142#41—816no—
1143C2×Q8—24no—
1144C2×Q8—24no—
1145C2×Q8—42no—
1146C2×Q8—44no—
1147C2×Q8C23×C418yes—
1148C2×Q8C23×C414yes—
1149C2×Q8C23×C418yes—
1150C2×D4—24no—
1151C2×D4—24no—
1152C2×D4—24no—
1153C2×D4—24no—
1154C2×D4—24no—
1155C2×D4—24no—
1156C2×D4—432no—
1157C2×D4—44no—
1158C2×D4—44no—
1159C2×D4—44no—
1160C2×D4—44no—
1161C2×D4—44no—
1162C2×D4—44no—
1163C2×D4—44no—
1164C2×D4—44no—
1165C2×D4—44no—
1166C2×D4—432no—
1167C2×D4—44no—
1168C2×D4—44no—
1169C2×D4—44no—
1170C2×D4—44no—
1171C2×D4—44no—
1172C2×D4—44no—
1173C2×D4—44no—
1174C2×D4—44no—
1175C2×D4—44no—
1176C2×D4—42no—
1177C2×D4—816no—
1178C2×D4C23×C414yes—
1179C2×D4C23×C414yes—
1180C2×D4C23×C418yes—
1181C2×D4C23×C418yes—
1182C2×D4C23×C418yes—
1183C2×D4C23×C418yes—
1184C2×D4C23×C4116yes—
1185C2×D4C23×C414yes—
1186C2×D4C23×C418yes—
1187C2×D4C23×C418yes—
1188C2×D4C23×C4116yes—
1189C2×D4C23×C4116yes—
1190C2×D4C23×C4116yes—
1191C2×D4C23×C4116yes—
1192C2×D4C23×C4116yes—
1193C2×D4C23×C4116yes—
1194C22×C4—24no—
1195C22×C4—22no—
1196C22×C4—22no—
1197C22×C4—22no—
1198C22×C4—22no—
1199C22×C4—22no—
1200C22×C4—22no—
1201C22×C4—24no—
1202C22×C4—24no—
1203C22×C4—28no—
1204C22×C4—24no—
1205C22×C4—28no—
1206C22×C4—24no—
1207C22×C4—28no—
1208C22×C4—44no—
1209C22×C4—44no—
1210C22×C4—44no—
1211C22×C4—44no—
1212C22×C4—44no—
1213C22×C4—44no—
1214C22×C4—44no—
1215C22×C4—44no—
1216C22×C4—42no—
1217C22×C4—42no—
1218C22×C4—42no—
1219C22×C4—42no—
1220C22×C4—44no—
1221C22×C4—44no—
1222C22×C4—42no—
1223C22×C4—42no—
1224C22×C4—44no—
1225C22×C4—42no—
1226C22×C4—42no—
1227C22×C4—44no—
1228C22×C4—44no—
1229C22×C4—44no—
1230C22×C4—44no—
1231C22×C4—42no—
1232C22×C4—44no—
1233C22×C4—44no—
1234C22×C4—44no—
1235C22×C4—44no—
1236C22×C4—42no—
1237C22×C4—44no—
1238C22×C4—42no—
1239C22×C4—42no—
1240C22×C4—42no—
1241C22×C4—44no—
1242C22×C4—44no—
1243C22×C4—44no—
1244C22×C4—44no—
1245C22×C4—44no—
1246C22×C4—44no—
1247C22×C4—44no—
1248C22×C4—44no—
1249C22×C4—44no—
1250C22×C4—44no—
1251C22×C4—44no—
1252C22×C4—44no—
1253C22×C4—44no—
1254C22×C4—44no—
1255C22×C4—44no—
1256C22×C4—832no—
1257C22×C4C23×C414yes—
1258C22×C4C23×C414yes—
1259C22×C4C23×C414yes—
1260C22×C4C23×C414yes—
1261C22×C4C23×C414yes—
1262C22×C4C23×C414yes—
1263C22×C4C23×C414yes—
1264C22×C4C23×C414yes—
1265C22×C4C23×C414yes—
1266C22×C4C23×C4116yes—
1267C22×C4C23×C4116yes—
1268C22×C4C23×C4116yes—
1269C22×C4C23×C4116yes—
1270C22×C4C2512yes—
1271C22×C4C2512yes—
1272C22×C4C2512yes—
1273C22×C4C2512yes—
1274C22×C4C2514yes—
1275C22×C4C2514yes—
1276C22×C4C2512yes—
1277C22×C4C2512yes—
1278C22×C4C2514yes—
1279C22×C4C2514yes—
1280C22×C4C2512yes—
1281C22×C4C2511yescharacteristic
1282C22×C4C2511yescharacteristic
1283C22×C4C2511yescharacteristic
1284C22×C4C2511yescharacteristic
1285C22×C4C2511yescharacteristic
1286C22×C4C2511yescharacteristic
1287C22×C4C2511yescharacteristic
1288C22×C4C2511yescharacteristic
1289C22×C4C2511yescharacteristic
1290C22×C4C2514yes—
1291C22×C4C2514yes—
1292C22×C4C2511yescharacteristic
1293C22×C4C2511yescharacteristic
1294C22×C4C2512yes—
1295C22×C4C2511yescharacteristic
1296C4⋊C4—24no—
1297C4⋊C4—24no—
1298C4⋊C4—24no—
1299C4⋊C4—28no—
1300C4⋊C4—24no—
1301C4⋊C4—24no—
1302C4⋊C4—44no—
1303C4⋊C4—44no—
1304C4⋊C4—44no—
1305C4⋊C4—42no—
1306C4⋊C4—44no—
1307C4⋊C4—44no—
1308C4⋊C4—44no—
1309C4⋊C4—42no—
1310C4⋊C4—44no—
1311C4⋊C4—42no—
1312C4⋊C4—44no—
1313C4⋊C4—42no—
1314C4⋊C4—44no—
1315C4⋊C4—42no—
1316C4⋊C4—44no—
1317C4⋊C4—42no—
1318C4⋊C4—42no—
1319C4⋊C4—44no—
1320C4⋊C4C23×C414yes—
1321C4⋊C4C23×C414yes—
1322C4⋊C4C23×C418yes—
1323C4⋊C4C23×C418yes—
1324C4⋊C4C23×C414yes—
1325C4⋊C4C23×C414yes—
1326C4⋊C4C23×C414yes—
1327C4⋊C4C23×C414yes—
1328C4⋊C4C23×C418yes—
1329C4⋊C4C23×C418yes—
1330C4⋊C4C23×C4116yes—
1331C4⋊C4C23×C4116yes—
1332C22⋊C4—24no—
1333C22⋊C4—24no—
1334C22⋊C4—28no—
1335C22⋊C4—28no—
1336C22⋊C4—28no—
1337C22⋊C4—24no—
1338C22⋊C4—44no—
1339C22⋊C4—44no—
1340C22⋊C4—44no—
1341C22⋊C4—44no—
1342C22⋊C4—44no—
1343C22⋊C4—44no—
1344C22⋊C4—44no—
1345C22⋊C4—44no—
1346C22⋊C4—44no—
1347C22⋊C4—44no—
1348C22⋊C4—44no—
1349C22⋊C4—44no—
1350C22⋊C4—44no—
1351C22⋊C4—44no—
1352C22⋊C4—42no—
1353C22⋊C4—44no—
1354C22⋊C4—44no—
1355C22⋊C4—44no—
1356C22⋊C4—44no—
1357C22⋊C4—44no—
1358C22⋊C4—44no—
1359C22⋊C4—44no—
1360C22⋊C4—42no—
1361C22⋊C4—44no—
1362C22⋊C4—42no—
1363C22⋊C4—44no—
1364C22⋊C4—44no—
1365C22⋊C4—42no—
1366C22⋊C4—44no—
1367C22⋊C4—42no—
1368C22⋊C4C23×C414yes—
1369C22⋊C4C23×C414yes—
1370C22⋊C4C23×C4116yes—
1371C22⋊C4C23×C4116yes—
1372C22⋊C4C23×C4116yes—
1373C22⋊C4C23×C4116yes—
1374C22⋊C4C23×C4116yes—
1375C22⋊C4C23×C414yes—
1376C22⋊C4C23×C414yes—
1377C22⋊C4C23×C414yes—
1378C22⋊C4C23×C414yes—
1379C22⋊C4C23×C4116yes—
1380C22⋊C4C23×C4116yes—
1381C22⋊C4C23×C4116yes—
1382C22⋊C4C23×C4116yes—
1383C42—24no—
1384C42—24no—
1385C42—22no—
1386C42—22no—
1387C42—28no—
1388C42—22no—
1389C42—22no—
1390C42—22no—
1391C42—22no—
1392C42—22no—
1393C42—42no—
1394C42—42no—
1395C42—44no—
1396C42—44no—
1397C42—42no—
1398C42—44no—
1399C42—44no—
1400C42—44no—
1401C42—44no—
1402C42—42no—
1403C42—44no—
1404C42—42no—
1405C42—42no—
1406C42—44no—
1407C42—44no—
1408C42—44no—
1409C42—44no—
1410C42C23×C414yes—
1411C42C23×C414yes—
1412C42C23×C414yes—
1413C42C23×C414yes—
1414C42C23×C414yes—
1415C42C23×C414yes—
1416C42C23×C414yes—
1417C42C23×C414yes—
1418C42C23×C414yes—
1419C42C23×C414yes—
1420C42C23×C4116yes—
1421C42H(5,𝔽2)14yes—
1422C23—21no—
1423C23—21no—
1424C23—22no—
1425C23—21no—
1426C23—24no—
1427C23—24no—
1428C23—21no—
1429C23—24no—
1430C23—21no—
1431C23—22no—
1432C23—22no—
1433C23—24no—
1434C23—24no—
1435C23—24no—
1436C23—24no—
1437C23—21no—
1438C23—24no—
1439C23—24no—
1440C23—24no—
1441C23—22no—
1442C23—22no—
1443C23—24no—
1444C23—24no—
1445C23—232no—
1446C23—416no—
1447C23—416no—
1448C23—88no—
1449C23—88no—
1450C23—88no—
1451C23—88no—
1452C23C24×C418yes—
1453C23C24×C418yes—
1454C23C24×C412yes—
1455C23C24×C412yes—
1456C23C24×C412yes—
1457C23#58514yes—
1458C23C2611yescharacteristic
1459Q8—216no—
1460Q8—44no—
1461Q8—48no—
1462D4—28no—
1463D4—28no—
1464D4—216no—
1465D4—216no—
1466D4—48no—
1467D4—48no—
1468D4—416no—
1469D4—416no—
1470D4—416no—
1471D4—48no—
1472D4—48no—
1473D4—44no—
1474D4—416no—
1475D4—416no—
1476D4—416no—
1477D4—416no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—24no—
1481C2×C4—21no—
1482C2×C4—22no—
1483C2×C4—22no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—24no—
1487C2×C4—22no—
1488C2×C4—21no—
1489C2×C4—22no—
1490C2×C4—22no—
1491C2×C4—22no—
1492C2×C4—24no—
1493C2×C4—22no—
1494C2×C4—22no—
1495C2×C4—24no—
1496C2×C4—22no—
1497C2×C4—22no—
1498C2×C4—28no—
1499C2×C4—28no—
1500C2×C4—28no—
1501C2×C4—28no—
1502C2×C4—22no—
1503C2×C4—22no—
1504C2×C4—22no—
1505C2×C4—24no—
1506C2×C4—24no—
1507C2×C4—24no—
1508C2×C4—22no—
1509C2×C4—22no—
1510C2×C4—22no—
1511C2×C4—22no—
1512C2×C4—22no—
1513C2×C4—22no—
1514C2×C4—24no—
1515C2×C4—22no—
1516C2×C4—24no—
1517C2×C4—24no—
1518C2×C4—22no—
1519C2×C4—24no—
1520C2×C4—22no—
1521C2×C4—22no—
1522C2×C4—24no—
1523C2×C4—22no—
1524C2×C4—24no—
1525C2×C4—22no—
1526C2×C4—22no—
1527C2×C4—22no—
1528C2×C4—24no—
1529C2×C4—24no—
1530C2×C4—22no—
1531C2×C4—24no—
1532C2×C4—22no—
1533C2×C4—22no—
1534C2×C4—22no—
1535C2×C4—44no—
1536C2×C4—44no—
1537C2×C4—44no—
1538C2×C4—416no—
1539C2×C4—416no—
1540C2×C4—416no—
1541C2×C4—416no—
1542C2×C4—44no—
1543C2×C4—44no—
1544C2×C4—48no—
1545C2×C4—416no—
1546C2×C4—84no—
1547C2×C4—88no—
1548C2×C4—84no—
1549C2×C4—88no—
1550C2×C4—88no—
1551C2×C4—88no—
1552C2×C4—84no—
1553C2×C4—88no—
1554C2×C4—88no—
1555C2×C4—164no—
1556C2×C4—164no—
1557C2×C4—164no—
1558C2×C4C24×C412yes—
1559C2×C4C24×C412yes—
1560C2×C4C24×C412yes—
1561C2×C4C24×C412yes—
1562C2×C4C24×C412yes—
1563C2×C4C24×C412yes—
1564C2×C4C24×C412yes—
1565C2×C4C24×C412yes—
1566C2×C4C24×C412yes—
1567C2×C4C24×C412yes—
1568C2×C4C24×C412yes—
1569C2×C4C24×C418yes—
1570C2×C4C24×C418yes—
1571C2×C4C24×C412yes—
1572C2×C4C2×H(5,𝔽2)14yes—
1573C2×C4C2×H(5,𝔽2)12yes—
1574C2×C4#58512yes—
1575C22—22no—
1576C22—22no—
1577C22—24no—
1578C22—24no—
1579C22—22no—
1580C22—22no—
1581C22—28no—
1582C22—28no—
1583C22—22no—
1584C22—22no—
1585C22—28no—
1586C22—28no—
1587C22—22no—
1588C22—22no—
1589C22—28no—
1590C22—28no—
1591C22—44no—
1592C22—44no—
1593C22—42no—
1594C22—44no—
1595C22—42no—
1596C22—44no—
1597C22—42no—
1598C22—44no—
1599C22—44no—
1600C22—42no—
1601C22—44no—
1602C22—44no—
1603C22—832no—
1604C22#342814yes—
1605C22C25×C411yescharacteristic
1606C22C22×H(5,𝔽2)11yescharacteristic
1607C22C2×#58512yes—
1608C22C2×#58511yescharacteristic
1609C22H(7,𝔽2)12yes—
1610C4—22no—
1611C4—22no—
1612C4—22no—
1613C4—22no—
1614C4—22no—
1615C4—22no—
1616C4—22no—
1617C4—28no—
1618C4—22no—
1619C4—22no—
1620C4—22no—
1621C4—28no—
1622C4—22no—
1623C4—24no—
1624C4—44no—
1625C4—42no—
1626C4—42no—
1627C4—44no—
1628C4—44no—
1629C4—42no—
1630C4—42no—
1631C4—42no—
1632C4—42no—
1633C4—44no—
1634C4—42no—
1635C4C4×H(5,𝔽2)14yes—
1636C2—24no—
1637C2—42no—
1638C2—42no—
1639C2—48no—
1640C2—48no—
1641C2C2×#342811yescharacteristic
1642C2C2×C4×H(5,𝔽2)11yescharacteristic
1643C2#6265211yescharacteristic
1644C2#6292412yes—
1645C2#6294112yes—
subgroupG/H
center, Frattini, socle, cosocleC23C26
commutatorC22C25×C4
prime radicalC2×#3508C2
LCSG ▷ C22 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
2. #34510C2semidirect
3. #34500C2semidirect
4. #34477C2semidirect
5. #34477C2semidirect
6. #34476C2semidirect
7. #34456C2semidirect
8. #34450C2semidirect
9. #34450C2semidirect
10. #34406C2semidirect
11. #34402C2semidirect
12. #34402C2semidirect
13. #34399C2semidirect
14. #34398C2semidirect
15. #34367C2semidirect
16. #34364C2semidirect
17. #34329C2semidirect
18. #34320C2semidirect
19. #34302C2semidirect
20. #34295C2semidirect
21. #34288C2semidirect
22. #34251C2semidirect
23. #34222C2semidirect
24. #34221C2semidirect
25. #34208C2semidirect
26. #34191C2semidirect
27. C4×#546C2semidirect
28. #34123C2semidirect
29. #34086C2semidirect
30. #34070C2semidirect
31. C2×#2328C2semidirect
32. #3508C4semidirect
50. C2×#520C22semidirect
53. C2×C4×#41C22semidirect
55. #2382C22semidirect
57. #2380C22semidirect
58. #2379C22semidirect
59. #2379C22semidirect
60. #2377C22semidirect
61. #2377C22semidirect
62. #2377C22semidirect
63. #2377C22semidirect
64. #2377C22semidirect
65. #2376C22semidirect
66. #2376C22semidirect
67. #2374C22semidirect
68. #2374C22semidirect
69. #2372C22semidirect
70. #2372C22semidirect
71. #2371C22semidirect
73. #2367C22semidirect
74. #2367C22semidirect
75. #2367C22semidirect
76. #2367C22semidirect
79. #2366C22semidirect
80. #2364C22semidirect
81. #2364C22semidirect
82. #2364C22semidirect
83. #2364C22semidirect
84. #2364C22semidirect
85. #2363C22semidirect
86. #2363C22semidirect
87. #2363C22semidirect
88. #2363C22semidirect
89. #2361C22semidirect
90. #2361C22semidirect
91. #2361C22semidirect
92. #2361C22semidirect
95. #2359C22semidirect
96. #2359C22semidirect
97. #2359C22semidirect
98. #2359C22semidirect
103. #2357C22semidirect
104. #2356C22semidirect
105. #2356C22semidirect
106. #2356C22semidirect
107. #2355C22semidirect
108. #2354C22semidirect
110. #2353C22semidirect
111. #2353C22semidirect
112. #2353C22semidirect
113. #2353C22semidirect
114. #2353C22semidirect
115. #2353C22semidirect
117. #2352C22semidirect
118. #2352C22semidirect
119. #2352C22semidirect
120. #2352C22semidirect
121. #2352C22semidirect
122. #2352C22semidirect
123. #2351C22semidirect
125. #2349C22semidirect
127. D4×C4⋊C4C22semidirect
128. #2346C22semidirect
129. #2346C22semidirect
134. #2343C22semidirect
135. #2343C22semidirect
140. #2341C22semidirect
141. #2341C22semidirect
144. #2339C22semidirect
145. #2339C22semidirect
146. #2339C22semidirect
147. #2339C22semidirect
151. #2337C22semidirect
152. #2337C22semidirect
153. #2337C22semidirect
154. #2337C22semidirect
155. #2335C22semidirect
156. #2335C22semidirect
157. #2335C22semidirect
158. #2335C22semidirect
159. #2333C22semidirect
160. #2333C22semidirect
161. #2333C22semidirect
162. #2333C22semidirect
163. #2333C22semidirect
164. #2331C22semidirect
165. #2331C22semidirect
166. #2331C22semidirect
167. #2331C22semidirect
182. #2328C22semidirect
183. #2328C22semidirect
184. #2327C22semidirect
185. #2327C22semidirect
186. #2327C22semidirect
187. #2327C22semidirect
188. #2326C22semidirect
189. #2326C22semidirect
190. #2325C22semidirect
191. #2325C22semidirect
192. #2325C22semidirect
193. #2325C22semidirect
194. #2325C22semidirect
195. #2324C22semidirect
196. #2324C22semidirect
197. #2324C22semidirect
198. #2324C22semidirect
199. #2322C22semidirect
200. #2322C22semidirect
203. #2320C22semidirect
204. #2320C22semidirect
205. #2320C22semidirect
206. #2319C22semidirect
208. #2318C22semidirect
209. #2318C22semidirect
210. #2318C22semidirect
211. #2318C22semidirect
212. #2318C22semidirect
213. #2318C22semidirect
215. #2311C22semidirect
216. #2311C22semidirect
218. C4×#124C22semidirect
219. C4×#124C22semidirect
222. C4×#123C22semidirect
223. C4×#123C22semidirect
224. C4×#121C22semidirect
225. C4×#121C22semidirect
226. C4×#121C22semidirect
227. C4×#121C22semidirect
230. #2297C22semidirect
231. #2297C22semidirect
232. #2295C22semidirect
233. #2295C22semidirect
234. #2293C22semidirect
238. #2290C22semidirect
239. #2290C22semidirect
240. #2290C22semidirect
241. #2290C22semidirect
242. #2290C22semidirect
243. #2290C22semidirect
244. #2290C22semidirect
248. #2285C22semidirect
251. #2283C22semidirect
252. #2283C22semidirect
253. #2283C22semidirect
254. #2283C22semidirect
256. C2×#382C22semidirect
257. #2276C22semidirect
259. #2275C22semidirect
263. C42×D4C22semidirect
264. C4×#117C22semidirect
267. C2×#376C22semidirect
277. #559C2×C4semidirect
278. #559C2×C4semidirect
279. #550C2×C4semidirect
280. #550C2×C4semidirect
281. #546C2×C4semidirect
282. #546C2×C4semidirect
283. #546C2×C4semidirect
284. #546C2×C4semidirect
285. #540C2×C4semidirect
286. #540C2×C4semidirect
287. #535C2×C4semidirect
288. #533C2×C4semidirect
289. #532C2×C4semidirect
290. #532C2×C4semidirect
291. #532C2×C4semidirect
292. #532C2×C4semidirect
295. C2×#127C2×C4semidirect
329. #518C2×C4semidirect
331. C4×#41C2×C4semidirect
766. C2×#41C22×C4semidirect
767. C2×#41C22×C4semidirect
768. C2×#41C22×C4semidirect
769. C2×#41C22×C4semidirect
826. C4⋊Q8C22×C4semidirect
827. C4⋊Q8C22×C4semidirect
833. #127C22×C4semidirect
834. #125C22×C4semidirect
835. #124C22×C4semidirect
836. #124C22×C4semidirect
837. #124C22×C4semidirect
838. #124C22×C4semidirect
839. #124C22×C4semidirect
840. #123C22×C4semidirect
841. #123C22×C4semidirect
842. #123C22×C4semidirect
843. #123C22×C4semidirect
846. #121C22×C4semidirect
847. #121C22×C4semidirect
848. #121C22×C4semidirect
849. #121C22×C4semidirect
850. #121C22×C4semidirect
851. #121C22×C4semidirect
852. #121C22×C4semidirect
853. #121C22×C4semidirect
854. #121C22×C4semidirect
855. #121C22×C4semidirect
856. #121C22×C4semidirect
857. #121C22×C4semidirect
864. C4×Q8C22×C4semidirect
865. C4×Q8C22×C4semidirect
866. C4×Q8C22×C4semidirect
867. C4×Q8C22×C4semidirect
895. C4×D4C22×C4semidirect
896. C4×D4C22×C4semidirect
897. C4×D4C22×C4semidirect
898. C4×D4C22×C4semidirect
899. C4×D4C22×C4semidirect
900. C4×D4C22×C4semidirect
901. C4×D4C22×C4semidirect
902. C4×D4C22×C4semidirect
903. C4×D4C22×C4semidirect
904. C4×D4C22×C4semidirect
905. C4×D4C22×C4semidirect
906. C4×D4C22×C4semidirect
916. #117C22×C4semidirect
917. #117C22×C4semidirect
1023. C2×C42C22×C4semidirect
1024. C2×C42C22×C4semidirect

Maximal subgroups

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

subgroupindex
C2×#35082
#345102
#345002
#344772
#344762
#344562
#344502
#344062
#344022
#343992
#343982
#343672
#343642
#343292
#343202
#343022
#342952
#342882
#342512
#342222
#342212
#342082
#341912
C4×#5462
#341232
#340862
#340702
C2×#23282