Finite Group Databasebeta

← #7021397

Subgroups — #7021397

Order 512.

2589 conjugacy classes of subgroups.

The subgroup lattice has 1715 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3301C211yesmaximal, characteristic, complemented
2C2×D4×D8C211yesmaximal, characteristic, complemented
3#59408C211yesmaximal, characteristic, complemented
4#59131C211yesmaximal, characteristic, complemented
5#30908C211yesmaximal, characteristic, complemented
6#30882C211yesmaximal, characteristic, complemented
7#30847C211yesmaximal, characteristic, complemented
8#30735C211yesmaximal, characteristic, complemented
9#30704C211yesmaximal, characteristic, complemented
10#30523C211yesmaximal, characteristic, complemented
11#30501C211yesmaximal, characteristic, complemented
12#30447C211yesmaximal, characteristic, complemented
13#28117C211yesmaximal, characteristic, complemented
14#28095C211yesmaximal, characteristic, complemented
15#26891C211yesmaximal, characteristic, complemented
16#26618C211yesmaximal, characteristic, complemented
17#26597C211yesmaximal, characteristic, complemented
18#25152C211yesmaximal, characteristic, complemented
19#25081C211yesmaximal, characteristic, complemented
20#24428C211yesmaximal, characteristic, complemented
21#24355C211yesmaximal, characteristic, complemented
22#24267C211yesmaximal, characteristic, complemented
23#24215C211yesmaximal, characteristic, complemented
24#24033C211yesmaximal, characteristic, complemented
25#23963C211yesmaximal, characteristic, complemented
26#23858C211yesmaximal, characteristic, complemented
27#23851C211yesmaximal, characteristic, complemented
28#23849C211yesmaximal, characteristic, complemented
29C2×#2012C211yesmaximal, characteristic, complemented
30#22181C211yesmaximal, characteristic, complemented
31#22168C211yesmaximal, characteristic, complemented
32C23×SD16C2211yescharacteristic, complemented
33C23×D8C2211yescharacteristic
34C23×D8C2211yescharacteristic
35C2×#553C2211yescharacteristic, complemented
36C2×#548C2211yescharacteristic, complemented
37C2×#546C2211yescharacteristic, complemented
38C2×D42C2211yescharacteristic
39C2×D42C2211yescharacteristic
40C22×#124C2211yescharacteristic, complemented
41#3301—28no—
42D4×D8—28no—
43C2×#493C2211yescharacteristic
44C2×#488C2211yescharacteristic, complemented
45C2×#481C2211yescharacteristic, complemented
46C2×#485C2211yescharacteristic, complemented
47C2×#479C2211yescharacteristic, complemented
48C2×#466C2211yescharacteristic
49C2×#466C2211yescharacteristic
50C2×#466C2211yescharacteristic, complemented
51C2×#466C2211yescharacteristic, complemented
52C2×#465C2211yescharacteristic, complemented
53C2×#463C2211yescharacteristic, complemented
54C2×#463C2211yescharacteristic, complemented
55C2×#463C2211yescharacteristic, complemented
56C2×#459C2211yescharacteristic
57C2×#459C2211yescharacteristic
58C2×#449C2211yescharacteristic, complemented
59C2×#449C2211yescharacteristic, complemented
60C2×#449C2211yescharacteristic, complemented
61C2×#448C2211yescharacteristic, complemented
62C2×#450C2211yescharacteristic, complemented
63C2×#450C2211yescharacteristic, complemented
64C2×#447C2211yescharacteristic
65C2×#447C2211yescharacteristic
66C2×#447C2211yescharacteristic
67C2×#447C2211yescharacteristic
68C2×C4×SD16C2211yescharacteristic, complemented
69C2×C4×D8C2211yescharacteristic
70C2×C8×D4C2211yescharacteristic
71C2×C8×D4C2211yescharacteristic, complemented
72C2×#416C2211yescharacteristic, complemented
73C22×#103C2211yescharacteristic, complemented
74C22×#102C2211yescharacteristic, complemented
75#2703—21no—
76#2685—21no—
77#2672—21no—
78#2670—21no—
79#2559—21no—
80#2555—21no—
81#2544C2211yescharacteristic, complemented
82#2540C2211yescharacteristic, complemented
83#2539—21no—
84#2490C2211yescharacteristic, complemented
85#2487C2211yescharacteristic
86#2472—21no—
87#2454C2211yescharacteristic, complemented
88#2445C2211yescharacteristic, complemented
89#2435C2211yescharacteristic, complemented
90#2431C2211yescharacteristic, complemented
91#2428C2211yescharacteristic, complemented
92#2427C2211yescharacteristic, complemented
93#2426C2211yescharacteristic, complemented
94#2424—21no—
95#2424—21no—
96#2418—21no—
97#2418—21no—
98#2414C2211yescharacteristic, complemented
99#2410—21no—
100#2410—21no—
101#2409C2211yescharacteristic
102#2408C2211yescharacteristic, complemented
103#2408C2211yescharacteristic, complemented
104#2408C2211yescharacteristic, complemented
105#2367C2211yescharacteristic, complemented
106#2363C2211yescharacteristic, complemented
107D4×C22⋊C4—21no—
108D4×C22⋊C4—21no—
109D4×C22⋊C4C2211yescharacteristic, complemented
110C4×#121C2211yescharacteristic
111C4×#121C2211yescharacteristic, complemented
112C4×#121C2211yescharacteristic, complemented
113C2×#390C2211yescharacteristic, complemented
114#2068C2211yescharacteristic, complemented
115#2068C2211yescharacteristic, complemented
116#2065C2211yescharacteristic, complemented
117#2065C2211yescharacteristic, complemented
118#2054C2211yescharacteristic
119#2054C2211yescharacteristic, complemented
120#2054C2211yescharacteristic, complemented
121#2054C2211yescharacteristic, complemented
122#2042C2211yescharacteristic, complemented
123#2042C2211yescharacteristic, complemented
124#2041C2211yescharacteristic, complemented
125#2041C2211yescharacteristic, complemented
126#2036C2211yescharacteristic, complemented
127#2036C2211yescharacteristic, complemented
128#2034C2211yescharacteristic, complemented
129#2034C2211yescharacteristic, complemented
130#2025C2211yescharacteristic, complemented
131#2025C2211yescharacteristic, complemented
132#2014C2211yescharacteristic, complemented
133#2014C2211yescharacteristic, complemented
134#2012C2211yescharacteristic
135#2012C2211yescharacteristic
136#2012C2211yescharacteristic, complemented
137#2012C2211yescharacteristic, complemented
138#2012C2211yescharacteristic, complemented
139#2012C2211yescharacteristic, complemented
140#2012C2211yescharacteristic, complemented
141#2012C2211yescharacteristic, complemented
142#2012C2211yescharacteristic, complemented
143#2012C2211yescharacteristic, complemented
144#2012C2211yescharacteristic, complemented
145#2012C2211yescharacteristic, complemented
146#2000C2211yescharacteristic, complemented
147#2000C2211yescharacteristic, complemented
148#2000C2211yescharacteristic, complemented
149#2000C2211yescharacteristic, complemented
150#1999C2211yescharacteristic
151#1999C2211yescharacteristic, complemented
152#1999C2211yescharacteristic, complemented
153#1999C2211yescharacteristic, complemented
154#1983C2211yescharacteristic, complemented
155#1983C2211yescharacteristic, complemented
156#1970C2211yescharacteristic, complemented
157#1970C2211yescharacteristic, complemented
158#1933C2211yescharacteristic, complemented
159#1933C2211yescharacteristic, complemented
160#1926C2211yescharacteristic, complemented
161#1926C2211yescharacteristic, complemented
162#1925C2211yescharacteristic, complemented
163#1925C2211yescharacteristic, complemented
164#1923C2211yescharacteristic, complemented
165#1923C2211yescharacteristic, complemented
166#1918C2211yescharacteristic, complemented
167#1918C2211yescharacteristic, complemented
168#1916C2211yescharacteristic, complemented
169#1916C2211yescharacteristic, complemented
170#1893C2211yescharacteristic, complemented
171#1893C2211yescharacteristic, complemented
172#1892C2211yescharacteristic, complemented
173#1892C2211yescharacteristic, complemented
174#1880C2211yescharacteristic, complemented
175#1880C2211yescharacteristic, complemented
176#1879C2211yescharacteristic, complemented
177#1879C2211yescharacteristic, complemented
178#1879C2211yescharacteristic, complemented
179#1879C2211yescharacteristic, complemented
180#1879C2211yescharacteristic, complemented
181#1879C2211yescharacteristic, complemented
182#1877C2211yescharacteristic, complemented
183#1877C2211yescharacteristic, complemented
184#1875C2211yescharacteristic, complemented
185#1875C2211yescharacteristic, complemented
186#1869C2211yescharacteristic
187#1869C2211yescharacteristic, complemented
188#1869C2211yescharacteristic, complemented
189#1869C2211yescharacteristic, complemented
190#1864C2211yescharacteristic, complemented
191#1864C2211yescharacteristic, complemented
192#1862C2211yescharacteristic, complemented
193#1862C2211yescharacteristic, complemented
194#1850C2211yescharacteristic, complemented
195#1850C2211yescharacteristic, complemented
196#1824C2211yescharacteristic, complemented
197#1808C2211yescharacteristic, complemented
198#1797C2211yescharacteristic, complemented
199#1787C2211yescharacteristic, complemented
200#1786C2211yescharacteristic, complemented
201#1786C2211yescharacteristic, complemented
202#1786C2211yescharacteristic, complemented
203#1786C2211yescharacteristic, complemented
204C2×#336C2211yescharacteristic, complemented
205C22×#41C2311yescharacteristic
206C23×Q8C2311yescharacteristic
207C23×D4—21no—
208C23×D4—21no—
209C23×D4C2311yescharacteristic
210C23×D4C2311yescharacteristic
211C23×D4C2311yescharacteristic
212C23×D4C2311yescharacteristic
213C22×SD16—42no—
214C22×SD16—42no—
215C22×SD16—42no—
216C22×SD16C2311yescharacteristic
217C22×SD16C2311yescharacteristic
218C22×SD16C2311yescharacteristic
219C22×SD16C2311yescharacteristic
220C22×SD16C2311yescharacteristic
221C22×SD16C2311yescharacteristic
222C22×D8—24no—
223C22×D8—24no—
224C22×D8—42no—
225C22×D8—42no—
226C22×D8—42no—
227C22×D8—42no—
228C22×D8C2311yescharacteristic
229C22×D8C2311yescharacteristic
230C22×D8C2311yescharacteristic
231C22×D8C2311yescharacteristic
232C22×D8C2311yescharacteristic
233C22×D8C2311yescharacteristic
234C22×D8C2311yescharacteristic
235C22×D8C2311yescharacteristic
236C22×D8C2311yescharacteristic
237C23×C8C2311yescharacteristic
238C23×C8C2311yescharacteristic
239C23×C8C2311yescharacteristic
240C23×C8C2311yescharacteristic
241#553—24no—
242#553—42no—
243#548—24no—
244#548—42no—
245#546—42no—
246#546—42no—
247D42—24no—
248D42—24no—
249D42—42no—
250D42—42no—
251C2×#127C2311yescharacteristic
252C2×#127C2311yescharacteristic
253C2×#126—21no—
254C2×#125C2311yescharacteristic
255C2×#124—21no—
256C2×#124—21no—
257C2×#124—21no—
258C2×#124—42no—
259C2×#124—42no—
260C2×#124C2311yescharacteristic
261C2×#124C2311yescharacteristic
262C2×#124C2311yescharacteristic
263C2×#124C2311yescharacteristic
264C2×#124C2311yescharacteristic
265C2×#123—21no—
266C2×#123—21no—
267C2×#123—21no—
268C2×C22⋊Q8—21no—
269C2×C22⋊Q8C2311yescharacteristic
270C2×C22⋊Q8C2311yescharacteristic
271C2×C22⋊Q8C2311yescharacteristic
272C2×#121—21no—
273C2×#121—21no—
274C2×#121—21no—
275C2×#121—21no—
276C2×#121—21no—
277C2×#121—21no—
278C2×#121D411yescharacteristic
279C2×#121C2311yescharacteristic
280C2×#121C2311yescharacteristic
281C2×#121C2311yescharacteristic
282C2×#121C2311yescharacteristic
283C2×#121C2311yescharacteristic
284C2×#121C2311yescharacteristic
285C2×#121C2311yescharacteristic
286C2×#121C2311yescharacteristic
287C2×#121C2311yescharacteristic
288C2×#120—21no—
289C2×#120—21no—
290C2×#120—21no—
291C2×#120—21no—
292C2×#120—21no—
293C2×#120—21no—
294C2×#120—21no—
295C2×#120—21no—
296C2×C4×Q8C2311yescharacteristic
297C2×C4×D4—21no—
298C2×C4×D4—21no—
299C2×C4×D4—21no—
300C2×C4×D4—21no—
301C2×C4×D4C2311yescharacteristic
302C2×C4×D4C2311yescharacteristic
303C2×C4×D4C2311yescharacteristic
304C2×C4×D4C2311yescharacteristic
305C2×C4×D4C2311yescharacteristic
306C2×C4×D4C2311yescharacteristic
307C2×C4×D4C2311yescharacteristic
308C2×C4×D4C2311yescharacteristic
309C2×#117C2311yescharacteristic
310C22×C4⋊C4C2311yescharacteristic
311C22×C22⋊C4—21no—
312C22×C22⋊C4—21no—
313C22×C22⋊C4—21no—
314C22×C22⋊C4—21no—
315C22×C22⋊C4—21no—
316C22×C22⋊C4—21no—
317C22×C42C2311yescharacteristic
318#493—24no—
319#488—24no—
320#485—24no—
321#481—24no—
322#479—24no—
323#466—24no—
324#466—42no—
325#466—42no—
326#466D418yescomplemented
327#465—24no—
328#463—24no—
329#463—42no—
330#463—42no—
331#459—24no—
332#459—24no—
333#450—42no—
334#450—42no—
335#449—24no—
336#449—42no—
337#449—42no—
338#448—24no—
339#447—24no—
340#447—24no—
341#447—24no—
342#447—24no—
343C4×SD16—24no—
344C4×D8—24no—
345C8×D4—24no—
346C8×D4—24no—
347C2×#107C2311yescharacteristic
348C2×#107C2311yescharacteristic
349C2×#107C2311yescharacteristic
350C2×#106C2311yescharacteristic
351C2×#106C2311yescharacteristic
352C2×C4⋊C8C2311yescharacteristic
353C2×C4⋊C8C2311yescharacteristic
354C2×C4⋊C8C2311yescharacteristic
355C2×C4⋊C8C2311yescharacteristic
356#416—24no—
357C2×#103—24no—
358C2×#103C2311yescharacteristic
359C2×#103C2311yescharacteristic
360C2×#103C2311yescharacteristic
361C2×#103C2311yescharacteristic
362C2×#103C2311yescharacteristic
363C2×#103C2311yescharacteristic
364C2×#103C2311yescharacteristic
365C2×#103C2311yescharacteristic
366C2×#103C2311yescharacteristic
367C2×#103C2311yescharacteristic
368C2×#102—42no—
369C2×#102C2311yescharacteristic
370C2×#102C2311yescharacteristic
371C2×#102C2311yescharacteristic
372C2×#102C2311yescharacteristic
373C2×#102C2311yescharacteristic
374C2×#102C2311yescharacteristic
375C2×#102C2311yescharacteristic
376C2×#102C2311yescharacteristic
377C2×#102C2311yescharacteristic
378C2×#102C2311yescharacteristic
379C2×#102C2311yescharacteristic
380C2×#102C2311yescharacteristic
381C2×#102C2311yescharacteristic
382C2×#102C2311yescharacteristic
383C2×#102C2311yescharacteristic
384C2×#102C2311yescharacteristic
385C2×#102C2311yescharacteristic
386C2×#102C2311yescharacteristic
387C2×#102C2311yescharacteristic
388C2×#102C2311yescharacteristic
389C2×#102C2311yescharacteristic
390C2×#102C2311yescharacteristic
391C2×#102C2311yescharacteristic
392C2×#102C2311yescharacteristic
393C2×C22⋊C8C2311yescharacteristic
394C2×C22⋊C8C2311yescharacteristic
395C2×C22⋊C8C2311yescharacteristic
396C2×C22⋊C8C2311yescharacteristic
397C2×C22⋊C8C2311yescharacteristic
398C2×C22⋊C8C2311yescharacteristic
399C2×C22⋊C8C2311yescharacteristic
400C2×C22⋊C8C2311yescharacteristic
401C2×C4×C8C2311yescharacteristic
402C2×C4×C8C2311yescharacteristic
403#400—21no—
404#399—21no—
405#399—21no—
406#399—21no—
407#397—21no—
408#397—21no—
409#396—21no—
410#396—21no—
411#395—21no—
412#394—21no—
413#394—21no—
414#394—21no—
415#394—21no—
416#394—21no—
417#394—21no—
418#394—21no—
419#394—21no—
420#394—21no—
421#394—21no—
422#394—21no—
423#394—21no—
424#394—21no—
425#394—21no—
426#393—21no—
427#392—21no—
428#392—21no—
429#392—21no—
430#392—21no—
431#392—21no—
432#392—21no—
433#392—21no—
434#392—21no—
435#391C2311yescharacteristic
436#391C2311yescharacteristic
437#390—21no—
438#390—21no—
439#390—21no—
440#390—21no—
441#390—21no—
442#390—21no—
443#390—21no—
444#390—21no—
445#390D411yescharacteristic
446#390C2311yescharacteristic
447#390C2311yescharacteristic
448#390C2311yescharacteristic
449#390C2311yescharacteristic
450#390C2311yescharacteristic
451#390C2311yescharacteristic
452#390C2311yescharacteristic
453#390C2311yescharacteristic
454#390C2311yescharacteristic
455#390C2311yescharacteristic
456#389D411yescharacteristic
457#389C2311yescharacteristic
458#389C2311yescharacteristic
459#389C2311yescharacteristic
460#389C2311yescharacteristic
461#388—21no—
462#388—21no—
463#388—21no—
464#388—21no—
465#388—21no—
466#388—21no—
467#388—21no—
468#388—21no—
469#388D411yescharacteristic
470#388D411yescharacteristic
471#386—21no—
472#386—21no—
473#386—21no—
474#386—21no—
475#386—21no—
476#386—21no—
477#386—21no—
478#386—21no—
479#386—21no—
480#386—21no—
481#386—21no—
482#386—21no—
483#386—21no—
484#386—21no—
485#386D411yescharacteristic
486#386D411yescharacteristic
487#385—21no—
488#385—21no—
489#385—21no—
490#385—21no—
491#380—21no—
492#380—21no—
493#380D411yescharacteristic
494#380C2311yescharacteristic
495#380C2311yescharacteristic
496#380C2311yescharacteristic
497#380C2311yescharacteristic
498#379—21no—
499#379—21no—
500#379—21no—
501#379—21no—
502#379—21no—
503#379—21no—
504C4×C4⋊C4C2311yescharacteristic
505C4×C4⋊C4C2311yescharacteristic
506C4×C4⋊C4C2311yescharacteristic
507C4×C22⋊C4—21no—
508C4×C22⋊C4—21no—
509C4×C22⋊C4—21no—
510C4×C22⋊C4—21no—
511C4×C22⋊C4C2311yescharacteristic
512C4×C22⋊C4C2311yescharacteristic
513#340C2311yescharacteristic
514#340C2311yescharacteristic
515#340C2311yescharacteristic
516#340C2311yescharacteristic
517#340C2311yescharacteristic
518#340C2311yescharacteristic
519#340C2311yescharacteristic
520#340C2311yescharacteristic
521#340C2311yescharacteristic
522#340C2311yescharacteristic
523#336C2311yescharacteristic
524#336C2311yescharacteristic
525#336C2311yescharacteristic
526#336C2311yescharacteristic
527#336C2311yescharacteristic
528#336C2311yescharacteristic
529#336C2311yescharacteristic
530#336C2311yescharacteristic
531#336C2311yescharacteristic
532#336C2311yescharacteristic
533C25—21no—
534C25—21no—
535C25—21no—
536C25—21no—
537C2×#41—22no—
538C2×#41—22no—
539C2×#41—41no—
540C2×#41—41no—
541C2×#41—41no—
542C2×#41—41no—
543C22×Q8—21no—
544C22×Q8—22no—
545C22×Q8—22no—
546C22×Q8—22no—
547C22×Q8—41no—
548C22×Q8—41no—
549C22×Q8—41no—
550C22×Q8C2411yescharacteristic
551C22×Q8C2411yescharacteristic
552C22×D4—21no—
553C22×D4—21no—
554C22×D4—22no—
555C22×D4—22no—
556C22×D4—22no—
557C22×D4—22no—
558C22×D4—22no—
559C22×D4—22no—
560C22×D4—21no—
561C22×D4—21no—
562C22×D4—21no—
563C22×D4—21no—
564C22×D4—21no—
565C22×D4—21no—
566C22×D4—21no—
567C22×D4—21no—
568C22×D4—22no—
569C22×D4—22no—
570C22×D4—21no—
571C22×D4—21no—
572C22×D4—21no—
573C22×D4—21no—
574C22×D4—21no—
575C22×D4—21no—
576C22×D4—21no—
577C22×D4—21no—
578C22×D4—22no—
579C22×D4—22no—
580C22×D4—41no—
581C22×D4—41no—
582C22×D4—41no—
583C22×D4—41no—
584C22×D4—41no—
585C22×D4—41no—
586C22×D4—41no—
587C22×D4—41no—
588C22×D4—41no—
589C22×D4—41no—
590C22×D4—41no—
591C22×D4—41no—
592C22×D4—41no—
593C22×D4—41no—
594C22×D4—44no—
595C22×D4—44no—
596C22×D4—44no—
597C22×D4—44no—
598C22×D4—82no—
599C22×D4—82no—
600C22×D4C2×D411yescharacteristic
601C22×D4C2×D411yescharacteristic
602C22×D4C2×D411yescharacteristic
603C22×D4C2411yescharacteristic
604C22×D4C2411yescharacteristic
605C22×D4C2411yescharacteristic
606C22×D4C2411yescharacteristic
607C22×D4C2411yescharacteristic
608C22×D4C2411yescharacteristic
609C23×C4—21no—
610C23×C4—21no—
611C23×C4—21no—
612C23×C4—21no—
613C23×C4—21no—
614C23×C4—21no—
615C23×C4—21no—
616C23×C4—21no—
617C23×C4C2×D411yescharacteristic
618C23×C4C2×D411yescharacteristic
619C23×C4C2411yescharacteristic
620C23×C4C2411yescharacteristic
621C23×C4C2411yescharacteristic
622C2×SD16—22no—
623C2×SD16—22no—
624C2×SD16—22no—
625C2×SD16—22no—
626C2×SD16—22no—
627C2×SD16—22no—
628C2×SD16—22no—
629C2×SD16—41no—
630C2×SD16—41no—
631C2×SD16—41no—
632C2×SD16—41no—
633C2×SD16—41no—
634C2×SD16—41no—
635C2×SD16—41no—
636C2×SD16—41no—
637C2×SD16—41no—
638C2×SD16—41no—
639C2×SD16—41no—
640C2×SD16—416no—
641C2×D8—22no—
642C2×D8—22no—
643C2×D8—22no—
644C2×D8—22no—
645C2×D8—22no—
646C2×D8—22no—
647C2×D8—22no—
648C2×D8—22no—
649C2×D8—22no—
650C2×D8—22no—
651C2×D8—22no—
652C2×D8—22no—
653C2×D8—22no—
654C2×D8—22no—
655C2×D8—41no—
656C2×D8—41no—
657C2×D8—41no—
658C2×D8—41no—
659C2×D8—41no—
660C2×D8—41no—
661C2×D8—41no—
662C2×D8—41no—
663C2×D8—41no—
664C2×D8—41no—
665C2×D8—41no—
666C2×D8—41no—
667C2×D8—416no—
668C2×D8—416no—
669C2×D8C2×D414yes—
670C22×C8—22no—
671C22×C8—22no—
672C22×C8—22no—
673C22×C8—41no—
674C22×C8—41no—
675C22×C8—41no—
676C22×C8—41no—
677C22×C8—41no—
678C22×C8—41no—
679C22×C8—41no—
680C22×C8—41no—
681C22×C8C2×D414yes—
682C22×C8C2411yescharacteristic
683C22×C8C2411yescharacteristic
684C22×C8C2411yescharacteristic
685C22×C8C2411yescharacteristic
686C22×C8C2411yescharacteristic
687C22×C8C2411yescharacteristic
688C22×C8C2411yescharacteristic
689C22×C8C2411yescharacteristic
690#127—22no—
691#127—22no—
692#127—41no—
693#127—41no—
694#126—44no—
695#125—22no—
696#125—41no—
697#124—22no—
698#124—22no—
699#124—22no—
700#124—22no—
701#124—22no—
702#124—41no—
703#124—41no—
704#124—41no—
705#124—41no—
706#124—41no—
707#124—44no—
708#124—44no—
709#124—44no—
710#123—44no—
711#123—44no—
712#123—82no—
713C22⋊Q8—22no—
714C22⋊Q8—22no—
715C22⋊Q8—44no—
716C22⋊Q8—41no—
717C22⋊Q8—41no—
718C22⋊Q8—41no—
719C22⋊Q8—41no—
720#121—24no—
721#121—22no—
722#121—22no—
723#121—22no—
724#121—22no—
725#121—22no—
726#121—22no—
727#121—22no—
728#121—44no—
729#121—44no—
730#121—44no—
731#121—41no—
732#121—41no—
733#121—41no—
734#121—41no—
735#121—41no—
736#121—44no—
737#121—44no—
738#121—41no—
739#121—41no—
740#121—41no—
741#121—41no—
742#121—82no—
743#121C2×D414yes—
744#121C2×D414yes—
745#120—44no—
746#120—44no—
747#120—44no—
748#120—44no—
749#120—44no—
750#120—82no—
751#120—82no—
752#120—82no—
753C4×Q8—22no—
754C4×Q8—41no—
755C4×D4—22no—
756C4×D4—22no—
757C4×D4—22no—
758C4×D4—22no—
759C4×D4—22no—
760C4×D4—22no—
761C4×D4—22no—
762C4×D4—41no—
763C4×D4—41no—
764C4×D4—41no—
765C4×D4—41no—
766C4×D4—41no—
767C4×D4—41no—
768C4×D4—41no—
769C4×D4—41no—
770C4×D4—41no—
771C4×D4—44no—
772C4×D4—44no—
773C4×D4—82no—
774C4×D4—82no—
775#117—22no—
776#117—41no—
777C2×C4⋊C4—22no—
778C2×C4⋊C4—22no—
779C2×C4⋊C4—21no—
780C2×C4⋊C4—21no—
781C2×C4⋊C4—21no—
782C2×C4⋊C4—21no—
783C2×C4⋊C4—21no—
784C2×C4⋊C4—21no—
785C2×C4⋊C4—21no—
786C2×C4⋊C4—21no—
787C2×C4⋊C4—21no—
788C2×C4⋊C4—21no—
789C2×C4⋊C4—21no—
790C2×C4⋊C4C2×D411yescharacteristic
791C2×C4⋊C4C2×D411yescharacteristic
792C2×C4⋊C4C2×D411yescharacteristic
793C2×C4⋊C4C2×D411yescharacteristic
794C2×C4⋊C4C2×D411yescharacteristic
795C2×C4⋊C4C2411yescharacteristic
796C2×C4⋊C4C2411yescharacteristic
797C2×C4⋊C4C2411yescharacteristic
798C2×C4⋊C4C2411yescharacteristic
799C2×C4⋊C4C2411yescharacteristic
800C2×C4⋊C4C2411yescharacteristic
801C2×C4⋊C4C2411yescharacteristic
802C2×C4⋊C4C2411yescharacteristic
803C2×C22⋊C4—21no—
804C2×C22⋊C4—21no—
805C2×C22⋊C4—21no—
806C2×C22⋊C4—21no—
807C2×C22⋊C4—21no—
808C2×C22⋊C4—21no—
809C2×C22⋊C4—21no—
810C2×C22⋊C4—21no—
811C2×C22⋊C4—21no—
812C2×C22⋊C4—21no—
813C2×C22⋊C4—21no—
814C2×C22⋊C4—21no—
815C2×C22⋊C4—21no—
816C2×C22⋊C4—21no—
817C2×C22⋊C4—21no—
818C2×C22⋊C4—21no—
819C2×C22⋊C4—21no—
820C2×C22⋊C4—21no—
821C2×C22⋊C4—21no—
822C2×C22⋊C4—21no—
823C2×C22⋊C4—21no—
824C2×C22⋊C4—21no—
825C2×C22⋊C4—21no—
826C2×C22⋊C4—21no—
827C2×C22⋊C4—21no—
828C2×C22⋊C4—21no—
829C2×C22⋊C4—21no—
830C2×C22⋊C4—21no—
831C2×C22⋊C4—21no—
832C2×C22⋊C4—21no—
833C2×C22⋊C4—21no—
834C2×C22⋊C4—21no—
835C2×C22⋊C4—21no—
836C2×C22⋊C4—21no—
837C2×C22⋊C4—21no—
838C2×C22⋊C4—21no—
839C2×C22⋊C4—21no—
840C2×C22⋊C4—21no—
841C2×C22⋊C4—21no—
842C2×C22⋊C4—21no—
843C2×C22⋊C4—21no—
844C2×C22⋊C4—21no—
845C2×C22⋊C4—21no—
846C2×C22⋊C4—21no—
847C2×C22⋊C4—21no—
848C2×C22⋊C4—21no—
849C2×C22⋊C4—21no—
850C2×C22⋊C4—21no—
851C2×C22⋊C4—21no—
852C2×C22⋊C4—21no—
853C2×C22⋊C4—21no—
854C2×C22⋊C4—21no—
855C2×C22⋊C4—44no—
856C2×C22⋊C4—44no—
857C2×C22⋊C4—44no—
858C2×C22⋊C4—82no—
859C2×C22⋊C4—82no—
860C2×C22⋊C4—82no—
861C2×C22⋊C4C2×D411yescharacteristic
862C2×C22⋊C4C2×D411yescharacteristic
863C2×C22⋊C4C2×D411yescharacteristic
864C2×C22⋊C4C2×D411yescharacteristic
865C2×C22⋊C4C2×D411yescharacteristic
866C2×C22⋊C4C2×D411yescharacteristic
867C2×C22⋊C4C2×D411yescharacteristic
868C2×C22⋊C4C2×D411yescharacteristic
869C2×C22⋊C4C2×D411yescharacteristic
870C2×C22⋊C4C2×D411yescharacteristic
871C2×C42—21no—
872C2×C42—21no—
873C2×C42—21no—
874C2×C42—21no—
875C2×C42—41no—
876C2×C42—41no—
877C2×C42C2×D411yescharacteristic
878C2×C42C2×D411yescharacteristic
879C2×C42C2411yescharacteristic
880C2×C42C2411yescharacteristic
881C2×C42C2411yescharacteristic
882C2×C42C2411yescharacteristic
883#107—41no—
884#107—41no—
885#107C2×D414yes—
886#106—22no—
887#106—22no—
888C4⋊C8—22no—
889C4⋊C8—22no—
890C4⋊C8—41no—
891C4⋊C8—41no—
892#103—22no—
893#103—22no—
894#103—22no—
895#103—22no—
896#103—22no—
897#103—22no—
898#103—22no—
899#103—41no—
900#103—41no—
901#103—41no—
902#102—22no—
903#102—22no—
904#102—22no—
905#102—22no—
906#102—22no—
907#102—22no—
908#102—22no—
909#102—22no—
910#102—41no—
911#102—41no—
912#102—41no—
913#102—41no—
914#102—41no—
915#102—41no—
916#102—41no—
917#102—41no—
918#102—41no—
919#102—41no—
920#102—41no—
921#102—41no—
922#102—41no—
923#102—41no—
924#102C2×D414yes—
925#102C2×D414yes—
926C22⋊C8—22no—
927C22⋊C8—22no—
928C22⋊C8—22no—
929C22⋊C8—22no—
930C22⋊C8—41no—
931C22⋊C8—41no—
932C22⋊C8—41no—
933C22⋊C8—41no—
934C4×C8—22no—
935C4×C8—22no—
936#95—21no—
937#95—21no—
938#95—21no—
939#95—21no—
940#95—21no—
941#95—21no—
942#95—21no—
943#95—21no—
944#95—21no—
945#95—21no—
946#95—21no—
947#95—21no—
948#95—21no—
949#95—21no—
950#95C2×D411yescharacteristic
951#95C2×D411yescharacteristic
952#95C2×D411yescharacteristic
953#95C2×D411yescharacteristic
954#95C2×D411yescharacteristic
955#95C2×D411yescharacteristic
956C24—21no—
957C24—21no—
958C24—21no—
959C24—21no—
960C24—21no—
961C24—21no—
962C24—42no—
963C24—42no—
964C24—42no—
965C24—42no—
966C24—42no—
967C24—42no—
968C24—42no—
969C24—42no—
970C24—42no—
971C24—42no—
972C24—42no—
973C24—42no—
974C24—42no—
975C24—42no—
976C24—81no—
977C24—81no—
978C24—81no—
979C24—81no—
980C24—81no—
981C24—81no—
982C24—81no—
983C24—81no—
984C24—81no—
985C24—81no—
986C24—81no—
987C24—81no—
988C24—81no—
989C24—81no—
990C24C22×D411yescharacteristic
991C24C22×D411yescharacteristic
992C24C22×D411yescharacteristic
993#41—44no—
994#41—82no—
995#41—82no—
996#41—82no—
997C2×Q8—21no—
998C2×Q8—21no—
999C2×Q8—21no—
1000C2×Q8—21no—
1001C2×Q8—21no—
1002C2×Q8—21no—
1003C2×Q8—21no—
1004C2×Q8—21no—
1005C2×Q8—21no—
1006C2×Q8—21no—
1007C2×Q8—21no—
1008C2×Q8—42no—
1009C2×Q8—44no—
1010C2×Q8—44no—
1011C2×Q8—42no—
1012C2×Q8—81no—
1013C2×Q8—82no—
1014C2×Q8—82no—
1015C2×Q8H(5,𝔽2)12yes—
1016C2×D4—22no—
1017C2×D4—22no—
1018C2×D4—22no—
1019C2×D4—24no—
1020C2×D4—24no—
1021C2×D4—22no—
1022C2×D4—22no—
1023C2×D4—22no—
1024C2×D4—21no—
1025C2×D4—21no—
1026C2×D4—21no—
1027C2×D4—21no—
1028C2×D4—21no—
1029C2×D4—21no—
1030C2×D4—21no—
1031C2×D4—21no—
1032C2×D4—21no—
1033C2×D4—21no—
1034C2×D4—21no—
1035C2×D4—21no—
1036C2×D4—21no—
1037C2×D4—21no—
1038C2×D4—21no—
1039C2×D4—21no—
1040C2×D4—21no—
1041C2×D4—21no—
1042C2×D4—21no—
1043C2×D4—21no—
1044C2×D4—21no—
1045C2×D4—21no—
1046C2×D4—21no—
1047C2×D4—21no—
1048C2×D4—21no—
1049C2×D4—21no—
1050C2×D4—21no—
1051C2×D4—21no—
1052C2×D4—21no—
1053C2×D4—21no—
1054C2×D4—21no—
1055C2×D4—21no—
1056C2×D4—44no—
1057C2×D4—44no—
1058C2×D4—44no—
1059C2×D4—44no—
1060C2×D4—41no—
1061C2×D4—41no—
1062C2×D4—42no—
1063C2×D4—42no—
1064C2×D4—42no—
1065C2×D4—42no—
1066C2×D4—42no—
1067C2×D4—42no—
1068C2×D4—42no—
1069C2×D4—42no—
1070C2×D4—42no—
1071C2×D4—42no—
1072C2×D4—42no—
1073C2×D4—42no—
1074C2×D4—42no—
1075C2×D4—44no—
1076C2×D4—44no—
1077C2×D4—42no—
1078C2×D4—42no—
1079C2×D4—42no—
1080C2×D4—42no—
1081C2×D4—42no—
1082C2×D4—42no—
1083C2×D4—42no—
1084C2×D4—42no—
1085C2×D4—42no—
1086C2×D4—42no—
1087C2×D4—42no—
1088C2×D4—42no—
1089C2×D4—42no—
1090C2×D4—42no—
1091C2×D4—82no—
1092C2×D4—82no—
1093C2×D4—82no—
1094C2×D4—82no—
1095C2×D4—81no—
1096C2×D4—81no—
1097C2×D4—81no—
1098C2×D4—81no—
1099C2×D4—81no—
1100C2×D4—81no—
1101C2×D4—81no—
1102C2×D4—81no—
1103C2×D4—81no—
1104C2×D4—81no—
1105C2×D4—82no—
1106C2×D4—82no—
1107C2×D4—82no—
1108C2×D4—82no—
1109C2×D4—82no—
1110C2×D4—82no—
1111C2×D4—81no—
1112C2×D4—81no—
1113C2×D4—81no—
1114C2×D4—81no—
1115C2×D4—81no—
1116C2×D4—81no—
1117C2×D4—81no—
1118C2×D4—81no—
1119C2×D4—81no—
1120C2×D4—81no—
1121C2×D4—81no—
1122C2×D4—81no—
1123C2×D4—81no—
1124C2×D4—81no—
1125C2×D4—81no—
1126C2×D4—816no—
1127C2×D4—816no—
1128C2×D4#13514yes—
1129C2×D4C22×D412yes—
1130C2×D4C22×D412yes—
1131C2×D4H(5,𝔽2)12yes—
1132C2×D4H(5,𝔽2)12yes—
1133C22×C4—21no—
1134C22×C4—21no—
1135C22×C4—21no—
1136C22×C4—21no—
1137C22×C4—21no—
1138C22×C4—21no—
1139C22×C4—21no—
1140C22×C4—22no—
1141C22×C4—22no—
1142C22×C4—21no—
1143C22×C4—21no—
1144C22×C4—21no—
1145C22×C4—21no—
1146C22×C4—21no—
1147C22×C4—21no—
1148C22×C4—21no—
1149C22×C4—21no—
1150C22×C4—21no—
1151C22×C4—21no—
1152C22×C4—21no—
1153C22×C4—21no—
1154C22×C4—21no—
1155C22×C4—21no—
1156C22×C4—21no—
1157C22×C4—21no—
1158C22×C4—21no—
1159C22×C4—21no—
1160C22×C4—21no—
1161C22×C4—41no—
1162C22×C4—41no—
1163C22×C4—41no—
1164C22×C4—41no—
1165C22×C4—42no—
1166C22×C4—42no—
1167C22×C4—42no—
1168C22×C4—42no—
1169C22×C4—42no—
1170C22×C4—42no—
1171C22×C4—42no—
1172C22×C4—42no—
1173C22×C4—42no—
1174C22×C4—42no—
1175C22×C4—42no—
1176C22×C4—42no—
1177C22×C4—81no—
1178C22×C4—81no—
1179C22×C4—81no—
1180C22×C4—81no—
1181C22×C4—81no—
1182C22×C4—81no—
1183C22×C4—81no—
1184C22×C4—81no—
1185C22×C4—81no—
1186C22×C4—81no—
1187C22×C4—81no—
1188C22×C4—81no—
1189C22×C4C22×D411yescharacteristic
1190C22×C4C22×D411yescharacteristic
1191C22×C4C22×D411yescharacteristic
1192C22×C4C22×D411yescharacteristic
1193C22×C4C22×D411yescharacteristic
1194C22×C4C22×D411yescharacteristic
1195C22×C4C22×D411yescharacteristic
1196C22×C4C22×D411yescharacteristic
1197C22×C4C22×D411yescharacteristic
1198C22×C4C22×D411yescharacteristic
1199C22×C4C22×D412yes—
1200C22×C4C22×D411yescharacteristic
1201C22×C4H(5,𝔽2)12yes—
1202C22×C4C2511yescharacteristic
1203SD16—44no—
1204SD16—44no—
1205SD16—44no—
1206SD16—44no—
1207SD16—44no—
1208SD16—82no—
1209D8—28no—
1210D8—44no—
1211D8—44no—
1212D8—44no—
1213D8—44no—
1214D8—44no—
1215D8—44no—
1216D8—82no—
1217D8—82no—
1218C2×C8—21no—
1219C2×C8—21no—
1220C2×C8—21no—
1221C2×C8—21no—
1222C2×C8—21no—
1223C2×C8—21no—
1224C2×C8—21no—
1225C2×C8—21no—
1226C2×C8—21no—
1227C2×C8—21no—
1228C2×C8—21no—
1229C2×C8—21no—
1230C2×C8—21no—
1231C2×C8—21no—
1232C2×C8—21no—
1233C2×C8—21no—
1234C2×C8—21no—
1235C2×C8—21no—
1236C2×C8—21no—
1237C2×C8—21no—
1238C2×C8—21no—
1239C2×C8—21no—
1240C2×C8—44no—
1241C2×C8—44no—
1242C2×C8—44no—
1243C2×C8—82no—
1244C2×C8C22×D412yes—
1245C2×C8C22×D412yes—
1246C4⋊C4—22no—
1247C4⋊C4—22no—
1248C4⋊C4—22no—
1249C4⋊C4—21no—
1250C4⋊C4—21no—
1251C4⋊C4—21no—
1252C4⋊C4—21no—
1253C4⋊C4—21no—
1254C4⋊C4—21no—
1255C4⋊C4—21no—
1256C4⋊C4—21no—
1257C4⋊C4—21no—
1258C4⋊C4—21no—
1259C4⋊C4—21no—
1260C4⋊C4—21no—
1261C4⋊C4—21no—
1262C4⋊C4—21no—
1263C4⋊C4—41no—
1264C4⋊C4—41no—
1265C4⋊C4—42no—
1266C4⋊C4—42no—
1267C4⋊C4—42no—
1268C4⋊C4—42no—
1269C4⋊C4—42no—
1270C4⋊C4—42no—
1271C4⋊C4—81no—
1272C4⋊C4—81no—
1273C4⋊C4—81no—
1274C4⋊C4—81no—
1275C4⋊C4—81no—
1276C4⋊C4C22×D412yes—
1277C4⋊C4C22×D412yes—
1278C22⋊C4—24no—
1279C22⋊C4—24no—
1280C22⋊C4—22no—
1281C22⋊C4—22no—
1282C22⋊C4—22no—
1283C22⋊C4—24no—
1284C22⋊C4—24no—
1285C22⋊C4—22no—
1286C22⋊C4—22no—
1287C22⋊C4—22no—
1288C22⋊C4—41no—
1289C22⋊C4—41no—
1290C22⋊C4—41no—
1291C22⋊C4—41no—
1292C22⋊C4—42no—
1293C22⋊C4—42no—
1294C22⋊C4—42no—
1295C22⋊C4—42no—
1296C22⋊C4—42no—
1297C22⋊C4—42no—
1298C22⋊C4—42no—
1299C22⋊C4—42no—
1300C22⋊C4—42no—
1301C22⋊C4—42no—
1302C22⋊C4—42no—
1303C22⋊C4—42no—
1304C22⋊C4—42no—
1305C22⋊C4—42no—
1306C22⋊C4—42no—
1307C22⋊C4—42no—
1308C22⋊C4—42no—
1309C22⋊C4—42no—
1310C22⋊C4—42no—
1311C22⋊C4—42no—
1312C22⋊C4—42no—
1313C22⋊C4—42no—
1314C22⋊C4—42no—
1315C22⋊C4—42no—
1316C22⋊C4—42no—
1317C22⋊C4—42no—
1318C22⋊C4—42no—
1319C22⋊C4—81no—
1320C22⋊C4—81no—
1321C22⋊C4—81no—
1322C22⋊C4—81no—
1323C22⋊C4—81no—
1324C22⋊C4—81no—
1325C22⋊C4—81no—
1326C22⋊C4—81no—
1327C22⋊C4—81no—
1328C22⋊C4—81no—
1329C22⋊C4—81no—
1330C22⋊C4—81no—
1331C22⋊C4—81no—
1332C22⋊C4—81no—
1333C22⋊C4—81no—
1334C22⋊C4—81no—
1335C22⋊C4—81no—
1336C22⋊C4—81no—
1337C22⋊C4—81no—
1338C22⋊C4—81no—
1339C22⋊C4—81no—
1340C42—21no—
1341C42—21no—
1342C42—21no—
1343C42—21no—
1344C42—21no—
1345C42—21no—
1346C42—21no—
1347C42—21no—
1348C42—41no—
1349C42—41no—
1350C42—42no—
1351C42—42no—
1352C42—81no—
1353C42—81no—
1354C23—21no—
1355C23—21no—
1356C23—21no—
1357C23—21no—
1358C23—21no—
1359C23—21no—
1360C23—21no—
1361C23—21no—
1362C23—21no—
1363C23—21no—
1364C23—21no—
1365C23—21no—
1366C23—21no—
1367C23—22no—
1368C23—22no—
1369C23—22no—
1370C23—21no—
1371C23—22no—
1372C23—21no—
1373C23—21no—
1374C23—21no—
1375C23—41no—
1376C23—41no—
1377C23—41no—
1378C23—41no—
1379C23—41no—
1380C23—41no—
1381C23—41no—
1382C23—41no—
1383C23—41no—
1384C23—41no—
1385C23—41no—
1386C23—41no—
1387C23—41no—
1388C23—41no—
1389C23—41no—
1390C23—41no—
1391C23—41no—
1392C23—41no—
1393C23—41no—
1394C23—41no—
1395C23—41no—
1396C23—41no—
1397C23—41no—
1398C23—41no—
1399C23—41no—
1400C23—41no—
1401C23—41no—
1402C23—41no—
1403C23—41no—
1404C23—41no—
1405C23—41no—
1406C23—41no—
1407C23—41no—
1408C23—41no—
1409C23—41no—
1410C23—41no—
1411C23—41no—
1412C23—41no—
1413C23—84no—
1414C23—84no—
1415C23—84no—
1416C23—84no—
1417C23—84no—
1418C23—84no—
1419C23—84no—
1420C23—84no—
1421C23—84no—
1422C23—84no—
1423C23—84no—
1424C23—84no—
1425C23—84no—
1426C23—84no—
1427C23—162no—
1428C23—162no—
1429C23—162no—
1430C23—162no—
1431C23—162no—
1432C23—162no—
1433C23—162no—
1434C23—162no—
1435C23—162no—
1436C23—162no—
1437C23—162no—
1438C23—162no—
1439C23—162no—
1440C23—162no—
1441C23D4212yes—
1442C23C2×#13512yes—
1443C23C2×#13512yes—
1444C23#57612yes—
1445C23C23×D411yescharacteristic
1446Q8—22no—
1447Q8—22no—
1448Q8—41no—
1449Q8—41no—
1450Q8—41no—
1451Q8—41no—
1452Q8—41no—
1453Q8—41no—
1454Q8—84no—
1455D4—28no—
1456D4—22no—
1457D4—22no—
1458D4—22no—
1459D4—22no—
1460D4—22no—
1461D4—22no—
1462D4—22no—
1463D4—22no—
1464D4—44no—
1465D4—48no—
1466D4—48no—
1467D4—41no—
1468D4—41no—
1469D4—41no—
1470D4—41no—
1471D4—41no—
1472D4—41no—
1473D4—41no—
1474D4—41no—
1475D4—41no—
1476D4—41no—
1477D4—41no—
1478D4—41no—
1479D4—41no—
1480D4—41no—
1481D4—41no—
1482D4—41no—
1483D4—84no—
1484D4—84no—
1485D4—84no—
1486D4—84no—
1487D4—82no—
1488D4—84no—
1489D4—84no—
1490D4—84no—
1491D4—84no—
1492D4—84no—
1493D4—162no—
1494D4—162no—
1495D4—162no—
1496D4—162no—
1497D4—162no—
1498D4—162no—
1499D4—162no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—22no—
1505C2×C4—22no—
1506C2×C4—22no—
1507C2×C4—22no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—22no—
1521C2×C4—22no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—22no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—41no—
1539C2×C4—41no—
1540C2×C4—41no—
1541C2×C4—41no—
1542C2×C4—41no—
1543C2×C4—41no—
1544C2×C4—41no—
1545C2×C4—41no—
1546C2×C4—41no—
1547C2×C4—41no—
1548C2×C4—41no—
1549C2×C4—41no—
1550C2×C4—41no—
1551C2×C4—41no—
1552C2×C4—41no—
1553C2×C4—41no—
1554C2×C4—41no—
1555C2×C4—41no—
1556C2×C4—41no—
1557C2×C4—41no—
1558C2×C4—41no—
1559C2×C4—41no—
1560C2×C4—41no—
1561C2×C4—41no—
1562C2×C4—41no—
1563C2×C4—41no—
1564C2×C4—41no—
1565C2×C4—41no—
1566C2×C4—41no—
1567C2×C4—41no—
1568C2×C4—41no—
1569C2×C4—41no—
1570C2×C4—41no—
1571C2×C4—41no—
1572C2×C4—41no—
1573C2×C4—84no—
1574C2×C4—84no—
1575C2×C4—82no—
1576C2×C4—82no—
1577C2×C4—84no—
1578C2×C4—84no—
1579C2×C4—162no—
1580C2×C4—162no—
1581C2×C4—162no—
1582C2×C4—162no—
1583C2×C4D4212yes—
1584C2×C4C2×#13512yes—
1585C2×C4C23×D411yescharacteristic
1586C2×C4C2×H(5,𝔽2)11yescharacteristic
1587C2×C4C2×H(5,𝔽2)11yescharacteristic
1588C2×C4C2×H(5,𝔽2)11yescharacteristic
1589C2×C4C2×H(5,𝔽2)11yescharacteristic
1590C2×C4#58511yescharacteristic
1591C8—22no—
1592C8—22no—
1593C8—41no—
1594C8—41no—
1595C8—41no—
1596C8—41no—
1597C8—41no—
1598C8—41no—
1599C22—22no—
1600C22—22no—
1601C22—22no—
1602C22—22no—
1603C22—22no—
1604C22—22no—
1605C22—22no—
1606C22—22no—
1607C22—22no—
1608C22—41no—
1609C22—41no—
1610C22—41no—
1611C22—41no—
1612C22—41no—
1613C22—42no—
1614C22—41no—
1615C22—42no—
1616C22—41no—
1617C22—42no—
1618C22—42no—
1619C22—42no—
1620C22—42no—
1621C22—42no—
1622C22—42no—
1623C22—41no—
1624C22—41no—
1625C22—42no—
1626C22—42no—
1627C22—41no—
1628C22—42no—
1629C22—41no—
1630C22—42no—
1631C22—81no—
1632C22—81no—
1633C22—81no—
1634C22—81no—
1635C22—81no—
1636C22—81no—
1637C22—81no—
1638C22—81no—
1639C22—81no—
1640C22—81no—
1641C22—81no—
1642C22—81no—
1643C22—81no—
1644C22—81no—
1645C22—81no—
1646C22—81no—
1647C22—81no—
1648C22—81no—
1649C22—81no—
1650C22—81no—
1651C22—81no—
1652C22—81no—
1653C22—81no—
1654C22—81no—
1655C22—81no—
1656C22—81no—
1657C22—81no—
1658C22—81no—
1659C22—81no—
1660C22—81no—
1661C22—168no—
1662C22—168no—
1663C22—168no—
1664C22—168no—
1665C22#328014yes—
1666C22C2×D4211yescharacteristic
1667C22#348411yescharacteristic
1668C22#348811yescharacteristic
1669C22C22×#13511yescharacteristic
1670C22C2×#57611yescharacteristic
1671C22#358511yescharacteristic
1672C22#358511yescharacteristic
1673C4—22no—
1674C4—22no—
1675C4—41no—
1676C4—41no—
1677C4—42no—
1678C4—41no—
1679C4—42no—
1680C4—42no—
1681C4—41no—
1682C4—41no—
1683C4—41no—
1684C4—41no—
1685C4—41no—
1686C4—41no—
1687C4—81no—
1688C4—81no—
1689C4—81no—
1690C4—81no—
1691C4—81no—
1692C4—81no—
1693C4—81no—
1694C4#348411yescharacteristic
1695C4#348811yescharacteristic
1696C4#353211yescharacteristic
1697C4#353411yescharacteristic
1698C2—24no—
1699C2—42no—
1700C2—81no—
1701C2—82no—
1702C2—82no—
1703C2—82no—
1704C2—82no—
1705C2—161no—
1706C2—161no—
1707C2#4309811yescharacteristic
1708C2C2×#328011yescharacteristic
1709C2#6108211yescharacteristic
1710C2#6156711yescharacteristic
1711C2#6161711yescharacteristic
1712C2#6195511yescharacteristic
1713C2#6201511yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C4×#121 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#3301C2semidirect
2. C2×D4×D8C2semidirect
3. #59408C2semidirect
4. #59131C2semidirect
5. #30908C2semidirect
6. #30882C2semidirect
7. #30847C2semidirect
8. #30735C2semidirect
9. #30704C2semidirect
10. #30523C2semidirect
11. #30501C2semidirect
12. #30447C2semidirect
13. #28117C2semidirect
14. #28095C2semidirect
15. #26891C2semidirect
16. #26618C2semidirect
17. #26597C2semidirect
18. #25152C2semidirect
19. #25081C2semidirect
20. #24428C2semidirect
21. #24355C2semidirect
22. #24267C2semidirect
23. #24215C2semidirect
24. #24033C2semidirect
25. #23963C2semidirect
26. #23858C2semidirect
27. #23851C2semidirect
28. #23849C2semidirect
29. C2×#2012C2semidirect
30. #22181C2semidirect
31. #22168C2semidirect
32. C23×SD16C22semidirect
35. C2×#553C22semidirect
36. C2×#548C22semidirect
37. C2×#546C22semidirect
40. C22×#124C22semidirect
44. C2×#488C22semidirect
45. C2×#481C22semidirect
46. C2×#485C22semidirect
47. C2×#479C22semidirect
50. C2×#466C22semidirect
51. C2×#466C22semidirect
52. C2×#465C22semidirect
53. C2×#463C22semidirect
54. C2×#463C22semidirect
55. C2×#463C22semidirect
58. C2×#449C22semidirect
59. C2×#449C22semidirect
60. C2×#449C22semidirect
61. C2×#448C22semidirect
62. C2×#450C22semidirect
63. C2×#450C22semidirect
68. C2×C4×SD16C22semidirect
71. C2×C8×D4C22semidirect
72. C2×#416C22semidirect
73. C22×#103C22semidirect
74. C22×#102C22semidirect
81. #2544C22semidirect
82. #2540C22semidirect
84. #2490C22semidirect
87. #2454C22semidirect
88. #2445C22semidirect
89. #2435C22semidirect
90. #2431C22semidirect
91. #2428C22semidirect
92. #2427C22semidirect
93. #2426C22semidirect
98. #2414C22semidirect
102. #2408C22semidirect
103. #2408C22semidirect
104. #2408C22semidirect
105. #2367C22semidirect
106. #2363C22semidirect
109. D4×C22⋊C4C22semidirect
111. C4×#121C22semidirect
112. C4×#121C22semidirect
113. C2×#390C22semidirect
114. #2068C22semidirect
115. #2068C22semidirect
116. #2065C22semidirect
117. #2065C22semidirect
119. #2054C22semidirect
120. #2054C22semidirect
121. #2054C22semidirect
122. #2042C22semidirect
123. #2042C22semidirect
124. #2041C22semidirect
125. #2041C22semidirect
126. #2036C22semidirect
127. #2036C22semidirect
128. #2034C22semidirect
129. #2034C22semidirect
130. #2025C22semidirect
131. #2025C22semidirect
132. #2014C22semidirect
133. #2014C22semidirect
136. #2012C22semidirect
137. #2012C22semidirect
138. #2012C22semidirect
139. #2012C22semidirect
140. #2012C22semidirect
141. #2012C22semidirect
142. #2012C22semidirect
143. #2012C22semidirect
144. #2012C22semidirect
145. #2012C22semidirect
146. #2000C22semidirect
147. #2000C22semidirect
148. #2000C22semidirect
149. #2000C22semidirect
151. #1999C22semidirect
152. #1999C22semidirect
153. #1999C22semidirect
154. #1983C22semidirect
155. #1983C22semidirect
156. #1970C22semidirect
157. #1970C22semidirect
158. #1933C22semidirect
159. #1933C22semidirect
160. #1926C22semidirect
161. #1926C22semidirect
162. #1925C22semidirect
163. #1925C22semidirect
164. #1923C22semidirect
165. #1923C22semidirect
166. #1918C22semidirect
167. #1918C22semidirect
168. #1916C22semidirect
169. #1916C22semidirect
170. #1893C22semidirect
171. #1893C22semidirect
172. #1892C22semidirect
173. #1892C22semidirect
174. #1880C22semidirect
175. #1880C22semidirect
176. #1879C22semidirect
177. #1879C22semidirect
178. #1879C22semidirect
179. #1879C22semidirect
180. #1879C22semidirect
181. #1879C22semidirect
182. #1877C22semidirect
183. #1877C22semidirect
184. #1875C22semidirect
185. #1875C22semidirect
187. #1869C22semidirect
188. #1869C22semidirect
189. #1869C22semidirect
190. #1864C22semidirect
191. #1864C22semidirect
192. #1862C22semidirect
193. #1862C22semidirect
194. #1850C22semidirect
195. #1850C22semidirect
196. #1824C22semidirect
197. #1808C22semidirect
198. #1797C22semidirect
199. #1787C22semidirect
200. #1786C22semidirect
201. #1786C22semidirect
202. #1786C22semidirect
203. #1786C22semidirect
204. C2×#336C22semidirect
326. #466D4semidirect

Maximal subgroups

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

subgroupindex
C2×#33012
C2×D4×D82
#594082
#591312
#309082
#308822
#308472
#307352
#307042
#305232
#305012
#304472
#281172
#280952
#268912
#266182
#265972
#251522
#250812
#244282
#243552
#242672
#242152
#240332
#239632
#238582
#238512
#238492
C2×#20122
#221812
#221682