Finite Group Databasebeta

← #6806932

Subgroups — #6806932

Order 512.

2148 conjugacy classes of subgroups.

The subgroup lattice has 1561 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3321C211yesmaximal, characteristic, complemented
2C2×#3056C211yesmaximal, characteristic, complemented
3#39886C211yesmaximal, characteristic, complemented
4#39723C211yesmaximal, characteristic, complemented
5#32936C211yesmaximal, characteristic, complemented
6#30861C211yesmaximal, characteristic, complemented
7#30851C211yesmaximal, characteristic, complemented
8#30680C211yesmaximal, characteristic, complemented
9#30668C211yesmaximal, characteristic, complemented
10#30580C211yesmaximal, characteristic, complemented
11#30564C211yesmaximal, characteristic, complemented
12#30515C211yesmaximal, characteristic, complemented
13#30502C211yesmaximal, characteristic, complemented
14#29600C211yesmaximal, characteristic, complemented
15#29595C211yesmaximal, characteristic, complemented
16#28935C211yesmaximal, characteristic, complemented
17#28919C211yesmaximal, characteristic, complemented
18#28354C211yesmaximal, characteristic, complemented
19#28103C211yesmaximal, characteristic, complemented
20#26986C211yesmaximal, characteristic, complemented
21#26978C211yesmaximal, characteristic, complemented
22#25402C211yesmaximal, characteristic, complemented
23#25389C211yesmaximal, characteristic, complemented
24#25127C211yesmaximal, characteristic, complemented
25#25115C211yesmaximal, characteristic, complemented
26#24597C211yesmaximal, characteristic, complemented
27#24368C211yesmaximal, characteristic, complemented
28#24105C211yesmaximal, characteristic, complemented
29#23871C211yesmaximal, characteristic, complemented
30#22581C211yesmaximal, characteristic, complemented
31#21439C211yesmaximal, characteristic, complemented
32C22×#137C2211yescharacteristic
33C23×M16C2211yescharacteristic
34C2×#555C2211yescharacteristic
35C2×#548C2211yescharacteristic
36C2×#525C2211yescharacteristic
37C22×C22⋊Q8C2211yescharacteristic
38#3321—28no—
39C2×#489C2211yescharacteristic, complemented
40C2×#485C2211yescharacteristic, complemented
41C2×#482C2211yescharacteristic
42C2×#480C2211yescharacteristic
43C2×#475C2211yescharacteristic, complemented
44#3056—28no—
45C2×#470C2211yescharacteristic
46C2×#470C2211yescharacteristic
47C2×#469C2211yescharacteristic
48C2×#469C2211yescharacteristic
49C2×#468C2211yescharacteristic
50C2×#468C2211yescharacteristic
51C2×#467C2211yescharacteristic
52C2×#467C2211yescharacteristic
53C2×#466C2211yescharacteristic
54C2×#465C2211yescharacteristic
55C2×#465C2211yescharacteristic
56C2×#465C2211yescharacteristic, complemented
57C2×#464C2211yescharacteristic, complemented
58C2×#460C2211yescharacteristic, complemented
59C2×#463C2211yescharacteristic, complemented
60C2×#452C2211yescharacteristic, complemented
61C2×#449C2211yescharacteristic
62C2×#449C2211yescharacteristic, complemented
63C2×#449C2211yescharacteristic, complemented
64C2×#448C2211yescharacteristic
65C2×#440C2211yescharacteristic, complemented
66C2×#435C2211yescharacteristic
67C2×#435C2211yescharacteristic
68C2×C8×D4C2211yescharacteristic
69C2×#428C2211yescharacteristic
70C2×#417C2211yescharacteristic
71C2×#419C2211yescharacteristic
72C2×#416C2211yescharacteristic, complemented
73#2847C2211yescharacteristic
74#2847C2211yescharacteristic
75#2730—21no—
76#2730—21no—
77#2728—21no—
78#2728—21no—
79#2710—21no—
80#2703—21no—
81#2670—21no—
82#2669—21no—
83#2631—21no—
84#2617—21no—
85#2598—21no—
86#2591—21no—
87#2579—21no—
88#2544—21no—
89#2541C2211yescharacteristic
90#2540C2211yescharacteristic
91#2536C2211yescharacteristic
92#2536C2211yescharacteristic
93#2504C2211yescharacteristic
94#2492C2211yescharacteristic
95#2491C2211yescharacteristic
96#2487C2211yescharacteristic
97#2431C2211yescharacteristic
98#2428C2211yescharacteristic
99#2427C2211yescharacteristic
100#2426C2211yescharacteristic
101#2426C2211yescharacteristic
102#2421C2211yescharacteristic
103#2421C2211yescharacteristic
104#2415C2211yescharacteristic
105#2414C2211yescharacteristic
106#2407C2211yescharacteristic
107#2407C2211yescharacteristic
108#2407C2211yescharacteristic
109#2347C2211yescharacteristic
110Q8×C22⋊C4C2211yescharacteristic
111#2324—21no—
112#2321—21no—
113C4×#120C2211yescharacteristic
114#2097C2211yescharacteristic, complemented
115#2092C2211yescharacteristic, complemented
116#2085C2211yescharacteristic, complemented
117#2085C2211yescharacteristic, complemented
118#2067C2211yescharacteristic, complemented
119#2066C2211yescharacteristic, complemented
120#2065C2211yescharacteristic, complemented
121#2065C2211yescharacteristic, complemented
122#2057C2211yescharacteristic, complemented
123#2057C2211yescharacteristic, complemented
124#2056C2211yescharacteristic, complemented
125#2055C2211yescharacteristic, complemented
126#2036C2211yescharacteristic
127#2036C2211yescharacteristic
128#2036C2211yescharacteristic
129#2036C2211yescharacteristic
130#2036C2211yescharacteristic
131#2036C2211yescharacteristic, complemented
132#2035C2211yescharacteristic
133#2034C2211yescharacteristic
134#2034C2211yescharacteristic, complemented
135#2033C2211yescharacteristic
136#2033C2211yescharacteristic, complemented
137#2033C2211yescharacteristic, complemented
138#2015C2211yescharacteristic, complemented
139#2015C2211yescharacteristic, complemented
140#2014C2211yescharacteristic, complemented
141#2012C2211yescharacteristic, complemented
142#2012C2211yescharacteristic, complemented
143#2011C2211yescharacteristic, complemented
144#2001C2211yescharacteristic, complemented
145#2000C2211yescharacteristic
146#2000C2211yescharacteristic
147#2000C2211yescharacteristic
148#2000C2211yescharacteristic
149#2000C2211yescharacteristic
150#2000C2211yescharacteristic
151#2000C2211yescharacteristic, complemented
152#1999C2211yescharacteristic
153#1999C2211yescharacteristic
154#1973C2211yescharacteristic, complemented
155#1970C2211yescharacteristic, complemented
156#1961C2211yescharacteristic, complemented
157#1958C2211yescharacteristic, complemented
158#1949C2211yescharacteristic, complemented
159#1949C2211yescharacteristic, complemented
160#1936C2211yescharacteristic, complemented
161#1935C2211yescharacteristic, complemented
162#1935C2211yescharacteristic, complemented
163#1933C2211yescharacteristic, complemented
164#1928C2211yescharacteristic, complemented
165#1927C2211yescharacteristic, complemented
166#1925C2211yescharacteristic, complemented
167#1925C2211yescharacteristic, complemented
168#1895C2211yescharacteristic
169#1895C2211yescharacteristic
170#1895C2211yescharacteristic
171#1895C2211yescharacteristic
172#1893C2211yescharacteristic
173#1893C2211yescharacteristic
174#1893C2211yescharacteristic, complemented
175#1892C2211yescharacteristic, complemented
176#1880C2211yescharacteristic, complemented
177#1880C2211yescharacteristic, complemented
178#1878C2211yescharacteristic, complemented
179#1878C2211yescharacteristic, complemented
180#1870C2211yescharacteristic
181#1870C2211yescharacteristic
182#1869C2211yescharacteristic
183#1865C2211yescharacteristic, complemented
184#1864C2211yescharacteristic, complemented
185#1864C2211yescharacteristic, complemented
186#1863C2211yescharacteristic, complemented
187#1854C2211yescharacteristic, complemented
188#1854C2211yescharacteristic, complemented
189#1851C2211yescharacteristic
190#1851C2211yescharacteristic
191#1850C2211yescharacteristic
192#1825C2211yescharacteristic
193#1823C2211yescharacteristic
194#1809C2211yescharacteristic
195#1809C2211yescharacteristic
196#1807C2211yescharacteristic
197#1788C2211yescharacteristic
198#1787C2211yescharacteristic
199#1779C2211yescharacteristic
200#1763C2211yescharacteristic, complemented
201C4×#103C2211yescharacteristic, complemented
202#1753C2211yescharacteristic
203#1753C2211yescharacteristic
204#1752C2211yescharacteristic
205C22×#41C2311yescharacteristic
206C22×#41C2311yescharacteristic
207C23×Q8C2311yescharacteristic
208C24×C4C2311yescharacteristic
209C2×#137—24no—
210C2×#137—42no—
211C2×#137—42no—
212C22×Q16C2311yescharacteristic
213C22×Q16C2311yescharacteristic
214C22×SD16C2311yescharacteristic
215C22×SD16C2311yescharacteristic
216C22×SD16C2311yescharacteristic
217C22×SD16C2311yescharacteristic
218C22×SD16C2311yescharacteristic
219C22×D8C2311yescharacteristic
220C22×D8C2311yescharacteristic
221C22×M16—24no—
222C22×M16—42no—
223C22×M16—42no—
224C22×M16C2311yescharacteristic
225C22×M16C2311yescharacteristic
226C22×M16C2311yescharacteristic
227C22×M16C2311yescharacteristic
228C23×C8C2311yescharacteristic
229C23×C8C2311yescharacteristic
230C23×C8C2311yescharacteristic
231#555—24no—
232#555—42no—
233#548—24no—
234#548—42no—
235C2×C4⋊Q8C2311yescharacteristic
236C2×#127—21no—
237C2×#127C2311yescharacteristic
238C2×#124—21no—
239C2×#124—21no—
240C2×#124—21no—
241C2×#124—21no—
242C2×#124C2311yescharacteristic
243C2×#124C2311yescharacteristic
244#525—24no—
245#525—42no—
246C2×#123—21no—
247C2×C22⋊Q8—21no—
248C2×C22⋊Q8—21no—
249C2×C22⋊Q8—21no—
250C2×C22⋊Q8—24no—
251C2×C22⋊Q8—42no—
252C2×C22⋊Q8C2311yescharacteristic
253C2×C22⋊Q8C2311yescharacteristic
254C2×C22⋊Q8C2311yescharacteristic
255C2×C22⋊Q8C2311yescharacteristic
256C2×C22⋊Q8C2311yescharacteristic
257C2×C22⋊Q8C2311yescharacteristic
258C2×C22⋊Q8C2311yescharacteristic
259C2×C22⋊Q8C2311yescharacteristic
260C2×#121—21no—
261C2×#121—21no—
262C2×#121—21no—
263C2×#121C2311yescharacteristic
264C2×#121C2311yescharacteristic
265C2×#121C2311yescharacteristic
266C2×#121C2311yescharacteristic
267C2×#121C2311yescharacteristic
268C2×#121C2311yescharacteristic
269C2×#121C2311yescharacteristic
270C2×#121C2311yescharacteristic
271C2×#121C2311yescharacteristic
272C2×#121C2311yescharacteristic
273C2×#120—21no—
274C2×#120—21no—
275C2×#120—21no—
276C2×#120D411yescharacteristic
277C2×C4×Q8C2311yescharacteristic
278C2×C4×Q8C2311yescharacteristic
279C2×C4×Q8C2311yescharacteristic
280C2×C4×D4—21no—
281C2×C4×D4—21no—
282C2×C4×D4—21no—
283C2×C4×D4C2311yescharacteristic
284C2×C4×D4C2311yescharacteristic
285C2×C4×D4C2311yescharacteristic
286C2×C4×D4C2311yescharacteristic
287C2×#117—21no—
288C2×#117C2311yescharacteristic
289C2×#117C2311yescharacteristic
290C22×C4⋊C4—21no—
291C22×C4⋊C4C2311yescharacteristic
292C22×C22⋊C4—21no—
293#489—24no—
294#485—24no—
295#482—24no—
296#480—42no—
297#475—24no—
298#470—24no—
299#470—24no—
300#469—24no—
301#469—42no—
302#468—24no—
303#468—24no—
304#467—24no—
305#467—24no—
306#466—42no—
307#465—24no—
308#465—24no—
309#465—24no—
310#464—42no—
311#463—24no—
312#460—42no—
313#452—42no—
314#449—24no—
315#449—42no—
316#449—42no—
317#448—24no—
318#440—24no—
319#435—24no—
320#435—42no—
321C8×D4—42no—
322#428—24no—
323C2×#107C2311yescharacteristic
324C2×#107C2311yescharacteristic
325C2×#107C2311yescharacteristic
326C2×#107C2311yescharacteristic
327C2×#107C2311yescharacteristic
328C2×#107C2311yescharacteristic
329C2×#106C2311yescharacteristic
330C2×#106C2311yescharacteristic
331C2×#106C2311yescharacteristic
332C2×#106C2311yescharacteristic
333C2×#106C2311yescharacteristic
334C2×C4⋊C8C2311yescharacteristic
335C2×C4⋊C8C2311yescharacteristic
336C2×C4⋊C8C2311yescharacteristic
337#419D418yescomplemented
338#417—24no—
339#416—24no—
340C2×#103C2311yescharacteristic
341C2×#103C2311yescharacteristic
342C2×#103C2311yescharacteristic
343C2×#103C2311yescharacteristic
344C2×#103C2311yescharacteristic
345C2×#103C2311yescharacteristic
346C2×#103C2311yescharacteristic
347C2×#103C2311yescharacteristic
348C2×#103C2311yescharacteristic
349C2×#103C2311yescharacteristic
350C2×#103C2311yescharacteristic
351C2×#103C2311yescharacteristic
352C2×#103C2311yescharacteristic
353C2×#103C2311yescharacteristic
354C2×#103C2311yescharacteristic
355C2×#102C2311yescharacteristic
356C2×#102C2311yescharacteristic
357C2×#102C2311yescharacteristic
358C2×#102C2311yescharacteristic
359C2×#102C2311yescharacteristic
360C2×#102C2311yescharacteristic
361C2×#102C2311yescharacteristic
362C2×#102C2311yescharacteristic
363C2×#102C2311yescharacteristic
364C2×#102C2311yescharacteristic
365C2×#102C2311yescharacteristic
366C2×#102C2311yescharacteristic
367C2×#102C2311yescharacteristic
368C2×#102C2311yescharacteristic
369C2×#102C2311yescharacteristic
370C2×C22⋊C8C2311yescharacteristic
371C2×C22⋊C8C2311yescharacteristic
372C2×C22⋊C8C2311yescharacteristic
373C2×C22⋊C8C2311yescharacteristic
374C2×C22⋊C8C2311yescharacteristic
375C2×C22⋊C8C2311yescharacteristic
376C2×C22⋊C8C2311yescharacteristic
377C2×C22⋊C8C2311yescharacteristic
378C2×C22⋊C8C2311yescharacteristic
379C2×#97C2311yescharacteristic
380C2×#97C2311yescharacteristic
381C2×C4×C8C2311yescharacteristic
382#400—21no—
383#400—21no—
384#400—21no—
385#400—21no—
386#399—21no—
387#399—21no—
388#398—21no—
389#398—21no—
390#397—21no—
391#397—21no—
392#397—21no—
393#397—21no—
394#397—21no—
395#397—21no—
396#396—21no—
397#396—21no—
398#394—21no—
399#394—21no—
400#394—21no—
401#394—21no—
402#394—21no—
403#394—21no—
404#394—21no—
405#394—21no—
406#394—21no—
407#394—21no—
408#394—21no—
409#394—21no—
410#393—21no—
411#393—21no—
412#392—21no—
413#392—21no—
414#392—21no—
415#392—21no—
416#392—21no—
417#392—21no—
418#392—21no—
419#392—21no—
420#392—21no—
421#392—21no—
422#391—21no—
423#391—21no—
424#391—21no—
425#391C2311yescharacteristic
426#391C2311yescharacteristic
427#391C2311yescharacteristic
428#391C2311yescharacteristic
429#390—21no—
430#390—21no—
431#390—21no—
432#390—21no—
433#390—21no—
434#390—21no—
435#390C2311yescharacteristic
436#390C2311yescharacteristic
437#390C2311yescharacteristic
438#390C2311yescharacteristic
439#389—21no—
440#389C2311yescharacteristic
441#389C2311yescharacteristic
442#389C2311yescharacteristic
443#389C2311yescharacteristic
444#388—21no—
445#388—21no—
446#388—21no—
447#388—21no—
448#388—21no—
449#388—21no—
450#388—21no—
451#388—21no—
452#388—21no—
453#388—21no—
454#388—21no—
455#388—21no—
456#388—21no—
457#388—21no—
458#387—21no—
459#387—21no—
460#386—21no—
461#386—21no—
462#386—21no—
463#386—21no—
464#386—21no—
465#386—21no—
466#386—21no—
467#386—21no—
468#386—21no—
469#386—21no—
470#386—21no—
471#386—21no—
472#386—21no—
473#386—21no—
474#386—21no—
475#386—21no—
476#386D411yescharacteristic
477#386D411yescharacteristic
478#386D411yescharacteristic
479#385—21no—
480#385—21no—
481#385—21no—
482#385—21no—
483#385D411yescharacteristic
484#385D411yescharacteristic
485#385D411yescharacteristic
486#383—21no—
487#382C2311yescharacteristic
488#382C2311yescharacteristic
489#380—21no—
490#380—21no—
491#380C2311yescharacteristic
492#380C2311yescharacteristic
493#380C2311yescharacteristic
494#380C2311yescharacteristic
495#380C2311yescharacteristic
496#380C2311yescharacteristic
497#380C2311yescharacteristic
498#380C2311yescharacteristic
499#379D411yescharacteristic
500C4×C4⋊C4—21no—
501C4×C4⋊C4C2311yescharacteristic
502C4×C4⋊C4C2311yescharacteristic
503C4×C22⋊C4—21no—
504C4×C22⋊C4C2311yescharacteristic
505C4×C22⋊C4C2311yescharacteristic
506C4×C22⋊C4C2311yescharacteristic
507#340C2311yescharacteristic
508#340C2311yescharacteristic
509#340C2311yescharacteristic
510#340C2311yescharacteristic
511#340C2311yescharacteristic
512#340C2311yescharacteristic
513#340C2311yescharacteristic
514#340C2311yescharacteristic
515#340C2311yescharacteristic
516#340C2311yescharacteristic
517#340C2311yescharacteristic
518#340C2311yescharacteristic
519#340C2311yescharacteristic
520#340C2311yescharacteristic
521#336C2311yescharacteristic
522#336C2311yescharacteristic
523#336C2311yescharacteristic
524#336C2311yescharacteristic
525#336C2311yescharacteristic
526#336C2311yescharacteristic
527C25C2×D411yescharacteristic
528C2×#41—22no—
529C2×#41—22no—
530C2×#41—22no—
531C2×#41—41no—
532C2×#41—41no—
533C2×#41—41no—
534C2×#41—41no—
535C2×#41—41no—
536C2×#41—41no—
537C2×#41—41no—
538C2×#41—41no—
539C2×#41—41no—
540C22×Q8—21no—
541C22×Q8—21no—
542C22×Q8—22no—
543C22×Q8—41no—
544C22×Q8—41no—
545C22×Q8—41no—
546C22×Q8—41no—
547C22×Q8C2×D414yes—
548C22×Q8C2411yescharacteristic
549C22×Q8C2411yescharacteristic
550C22×Q8C2411yescharacteristic
551C22×D4—21no—
552C22×D4—21no—
553C22×D4—21no—
554C22×D4—21no—
555C22×D4—21no—
556C22×D4—21no—
557C22×D4—21no—
558C22×D4—21no—
559C22×D4—21no—
560C22×D4—21no—
561C22×D4—21no—
562C22×D4—21no—
563C22×D4—21no—
564C22×D4—21no—
565C22×D4C2×D411yescharacteristic
566C22×D4C2×D411yescharacteristic
567C22×D4C2×D411yescharacteristic
568C22×D4C2411yescharacteristic
569C22×D4C2411yescharacteristic
570C22×D4C2411yescharacteristic
571C23×C4—21no—
572C23×C4—22no—
573C23×C4—22no—
574C23×C4—21no—
575C23×C4—21no—
576C23×C4—21no—
577C23×C4—21no—
578C23×C4—41no—
579C23×C4—41no—
580C23×C4—41no—
581C23×C4—41no—
582C23×C4C2×D411yescharacteristic
583C23×C4C2×D411yescharacteristic
584C23×C4C2×D411yescharacteristic
585C23×C4C2411yescharacteristic
586C23×C4C2411yescharacteristic
587C23×C4C2411yescharacteristic
588C23×C4C2411yescharacteristic
589#137—416no—
590C2×Q16—22no—
591C2×Q16—22no—
592C2×Q16—22no—
593C2×Q16—22no—
594C2×Q16—41no—
595C2×Q16—41no—
596C2×SD16—22no—
597C2×SD16—22no—
598C2×SD16—22no—
599C2×SD16—22no—
600C2×SD16—22no—
601C2×SD16—22no—
602C2×SD16—41no—
603C2×SD16—41no—
604C2×SD16—41no—
605C2×SD16—41no—
606C2×SD16—41no—
607C2×SD16—41no—
608C2×SD16—41no—
609C2×SD16—41no—
610C2×SD16—41no—
611C2×D8—22no—
612C2×D8—41no—
613C2×D8—41no—
614C2×D8—41no—
615C2×D8—41no—
616C2×D8—41no—
617C2×M16—22no—
618C2×M16—22no—
619C2×M16—22no—
620C2×M16—22no—
621C2×M16—22no—
622C2×M16—22no—
623C2×M16—22no—
624C2×M16—41no—
625C2×M16—41no—
626C2×M16—41no—
627C2×M16—41no—
628C2×M16—416no—
629C2×M16C2×D414yes—
630C22×C8—22no—
631C22×C8—22no—
632C22×C8—22no—
633C22×C8—22no—
634C22×C8—22no—
635C22×C8—41no—
636C22×C8—41no—
637C22×C8—41no—
638C22×C8—41no—
639C22×C8C2411yescharacteristic
640C22×C8C2411yescharacteristic
641C22×C8C2411yescharacteristic
642C22×C8C2411yescharacteristic
643C22×C8C2411yescharacteristic
644C22×C8C2411yescharacteristic
645C22×C8C2411yescharacteristic
646C22×C8C2411yescharacteristic
647C4⋊Q8—22no—
648C4⋊Q8—41no—
649#127—41no—
650#127—41no—
651#127—82no—
652#124—22no—
653#124—44no—
654#124—41no—
655#124—41no—
656#124—41no—
657#124—44no—
658#124—44no—
659#124—82no—
660#123—44no—
661C22⋊Q8—22no—
662C22⋊Q8—22no—
663C22⋊Q8—22no—
664C22⋊Q8—22no—
665C22⋊Q8—22no—
666C22⋊Q8—22no—
667C22⋊Q8—22no—
668C22⋊Q8—41no—
669C22⋊Q8—41no—
670C22⋊Q8—41no—
671C22⋊Q8—41no—
672C22⋊Q8—41no—
673C22⋊Q8—41no—
674C22⋊Q8—41no—
675C22⋊Q8—44no—
676C22⋊Q8—44no—
677C22⋊Q8—44no—
678C22⋊Q8—41no—
679C22⋊Q8—41no—
680#121—22no—
681#121—22no—
682#121—22no—
683#121—22no—
684#121—22no—
685#121—22no—
686#121—22no—
687#121—44no—
688#121—44no—
689#121—41no—
690#121—41no—
691#121—41no—
692#121—44no—
693#121—41no—
694#121—41no—
695#121—41no—
696#121—41no—
697#121—41no—
698#121—41no—
699#121—41no—
700#121—41no—
701#121—41no—
702#121—41no—
703#120—42no—
704#120—44no—
705#120—44no—
706#120—82no—
707C4×Q8—22no—
708C4×Q8—41no—
709C4×Q8—41no—
710C4×Q8—41no—
711C4×Q8—41no—
712C4×Q8—41no—
713C4×D4—22no—
714C4×D4—22no—
715C4×D4—22no—
716C4×D4—41no—
717C4×D4—41no—
718C4×D4—41no—
719C4×D4—41no—
720C4×D4—41no—
721C4×D4—44no—
722C4×D4—44no—
723C4×D4—44no—
724#117—22no—
725#117—22no—
726#117—44no—
727#117—41no—
728#117C2×D414yes—
729C2×C4⋊C4—22no—
730C2×C4⋊C4—22no—
731C2×C4⋊C4—21no—
732C2×C4⋊C4—21no—
733C2×C4⋊C4—21no—
734C2×C4⋊C4—21no—
735C2×C4⋊C4—21no—
736C2×C4⋊C4—21no—
737C2×C4⋊C4—21no—
738C2×C4⋊C4—21no—
739C2×C4⋊C4—21no—
740C2×C4⋊C4—21no—
741C2×C4⋊C4—21no—
742C2×C4⋊C4—21no—
743C2×C4⋊C4—21no—
744C2×C4⋊C4—21no—
745C2×C4⋊C4—21no—
746C2×C4⋊C4—21no—
747C2×C4⋊C4—21no—
748C2×C4⋊C4—44no—
749C2×C4⋊C4C2×D411yescharacteristic
750C2×C4⋊C4C2×D411yescharacteristic
751C2×C4⋊C4C2×D411yescharacteristic
752C2×C4⋊C4C2411yescharacteristic
753C2×C4⋊C4C2411yescharacteristic
754C2×C4⋊C4C2411yescharacteristic
755C2×C4⋊C4C2411yescharacteristic
756C2×C4⋊C4C2411yescharacteristic
757C2×C4⋊C4C2411yescharacteristic
758C2×C4⋊C4C2411yescharacteristic
759C2×C4⋊C4C2411yescharacteristic
760C2×C4⋊C4C2411yescharacteristic
761C2×C4⋊C4C2411yescharacteristic
762C2×C22⋊C4—21no—
763C2×C22⋊C4—21no—
764C2×C22⋊C4—21no—
765C2×C22⋊C4—21no—
766C2×C22⋊C4—21no—
767C2×C22⋊C4—21no—
768C2×C22⋊C4—21no—
769C2×C22⋊C4—21no—
770C2×C22⋊C4—21no—
771C2×C22⋊C4—21no—
772C2×C22⋊C4—21no—
773C2×C22⋊C4—21no—
774C2×C22⋊C4—21no—
775C2×C22⋊C4—21no—
776C2×C22⋊C4—21no—
777C2×C22⋊C4—21no—
778C2×C22⋊C4—21no—
779C2×C22⋊C4—21no—
780C2×C22⋊C4—21no—
781C2×C22⋊C4—21no—
782C2×C22⋊C4—21no—
783C2×C22⋊C4—21no—
784C2×C22⋊C4—21no—
785C2×C22⋊C4—21no—
786C2×C22⋊C4—21no—
787C2×C22⋊C4—21no—
788C2×C22⋊C4—21no—
789C2×C22⋊C4—21no—
790C2×C22⋊C4—21no—
791C2×C22⋊C4—21no—
792C2×C22⋊C4—21no—
793C2×C22⋊C4—21no—
794C2×C22⋊C4—21no—
795C2×C22⋊C4—21no—
796C2×C22⋊C4—21no—
797C2×C22⋊C4—21no—
798C2×C22⋊C4—21no—
799C2×C22⋊C4—21no—
800C2×C22⋊C4—21no—
801C2×C22⋊C4—21no—
802C2×C22⋊C4—21no—
803C2×C22⋊C4—44no—
804C2×C22⋊C4C2×D411yescharacteristic
805C2×C22⋊C4C2×D411yescharacteristic
806C2×C22⋊C4C2×D411yescharacteristic
807C2×C22⋊C4C2×D411yescharacteristic
808C2×C22⋊C4C2×D411yescharacteristic
809C2×C22⋊C4C2×D411yescharacteristic
810C2×C22⋊C4C2×D411yescharacteristic
811C2×C22⋊C4C2×D411yescharacteristic
812C2×C22⋊C4C2×D411yescharacteristic
813C2×C22⋊C4C2×D411yescharacteristic
814C2×C22⋊C4C2×D411yescharacteristic
815C2×C22⋊C4C2×D411yescharacteristic
816C2×C42—21no—
817C2×C42—21no—
818C2×C42—21no—
819C2×C42—21no—
820C2×C42—21no—
821C2×C42—21no—
822C2×C42—21no—
823C2×C42C2411yescharacteristic
824C2×C42C2411yescharacteristic
825C2×C42C2411yescharacteristic
826#107—22no—
827#107—22no—
828#107—22no—
829#107—41no—
830#107—41no—
831#107—41no—
832#106—22no—
833#106—22no—
834#106—22no—
835#106—22no—
836#106—41no—
837C4⋊C8—22no—
838C4⋊C8—22no—
839C4⋊C8—22no—
840#103—22no—
841#103—22no—
842#103—22no—
843#103—22no—
844#103—41no—
845#103—41no—
846#103—41no—
847#103—41no—
848#103—41no—
849#103—41no—
850#103—41no—
851#103C2×D414yes—
852#103C2×D414yes—
853#103C2×D414yes—
854#103C2×D414yes—
855#102—22no—
856#102—22no—
857#102—22no—
858#102—22no—
859#102—22no—
860#102—22no—
861#102—22no—
862#102—22no—
863#102—22no—
864#102—22no—
865#102—41no—
866#102—41no—
867#102—41no—
868#102—41no—
869#102—41no—
870C22⋊C8—22no—
871C22⋊C8—22no—
872C22⋊C8—22no—
873C22⋊C8—22no—
874C22⋊C8—22no—
875C22⋊C8—41no—
876C22⋊C8—41no—
877C22⋊C8—41no—
878C22⋊C8—41no—
879#97—22no—
880#97—41no—
881C4×C8—41no—
882#95—21no—
883#95—21no—
884#95—21no—
885#95—21no—
886#95—21no—
887#95—21no—
888#95—21no—
889#95—21no—
890#95—21no—
891#95—21no—
892#95—21no—
893#95—21no—
894#95—21no—
895#95—21no—
896#95—21no—
897#95—21no—
898#95—21no—
899#95—21no—
900#95—21no—
901#95—21no—
902#95—21no—
903#95—21no—
904#95—21no—
905#95—21no—
906#95—21no—
907#95—21no—
908#95C2×D411yescharacteristic
909#95C2×D411yescharacteristic
910#95C2×D411yescharacteristic
911#95C2×D411yescharacteristic
912#95C2×D411yescharacteristic
913#95C2×D411yescharacteristic
914C24—22no—
915C24—22no—
916C24—21no—
917C24—21no—
918C24—21no—
919C24—41no—
920C24—41no—
921C24—41no—
922C24—41no—
923C24—41no—
924C24C22×D411yescharacteristic
925C24C22×D411yescharacteristic
926C24C22×D411yescharacteristic
927C24C22×D411yescharacteristic
928#41—44no—
929#41—44no—
930#41—44no—
931#41—82no—
932#41—82no—
933#41—82no—
934#41—82no—
935#41—82no—
936C2×Q8—24no—
937C2×Q8—21no—
938C2×Q8—21no—
939C2×Q8—21no—
940C2×Q8—21no—
941C2×Q8—21no—
942C2×Q8—21no—
943C2×Q8—21no—
944C2×Q8—21no—
945C2×Q8—21no—
946C2×Q8—21no—
947C2×Q8—21no—
948C2×Q8—21no—
949C2×Q8—21no—
950C2×Q8—21no—
951C2×Q8—21no—
952C2×Q8—21no—
953C2×Q8—42no—
954C2×Q8—44no—
955C2×Q8—44no—
956C2×Q8—81no—
957C2×Q8—81no—
958C2×Q8—81no—
959C2×Q8—81no—
960C2×Q8—82no—
961C2×Q8—82no—
962C2×Q8C22×D412yes—
963C2×Q8C22×D412yes—
964C2×D4—22no—
965C2×D4—22no—
966C2×D4—21no—
967C2×D4—21no—
968C2×D4—21no—
969C2×D4—21no—
970C2×D4—21no—
971C2×D4—21no—
972C2×D4—21no—
973C2×D4—21no—
974C2×D4—21no—
975C2×D4—21no—
976C2×D4—21no—
977C2×D4—21no—
978C2×D4—21no—
979C2×D4—21no—
980C2×D4—21no—
981C2×D4—21no—
982C2×D4—21no—
983C2×D4—21no—
984C2×D4—41no—
985C2×D4—41no—
986C2×D4—41no—
987C2×D4—41no—
988C2×D4—41no—
989C2×D4—41no—
990C2×D4—41no—
991C2×D4—42no—
992C2×D4—42no—
993C2×D4—42no—
994C2×D4—42no—
995C2×D4—42no—
996C2×D4—42no—
997C2×D4—42no—
998C2×D4—42no—
999C2×D4—42no—
1000C2×D4—42no—
1001C2×D4—42no—
1002C2×D4—42no—
1003C2×D4—42no—
1004C2×D4—42no—
1005C2×D4—42no—
1006C2×D4—42no—
1007C2×D4—81no—
1008C2×D4—81no—
1009C2×D4—81no—
1010C2×D4—81no—
1011C2×D4—81no—
1012C2×D4—81no—
1013C2×D4—81no—
1014C2×D4—81no—
1015C2×D4—81no—
1016C2×D4—81no—
1017C2×D4—81no—
1018C2×D4—81no—
1019C2×D4—81no—
1020C2×D4—81no—
1021C2×D4—81no—
1022C2×D4—81no—
1023C2×D4—81no—
1024C2×D4—81no—
1025C2×D4—81no—
1026C2×D4—81no—
1027C2×D4—81no—
1028C2×D4—81no—
1029C2×D4—81no—
1030C2×D4—81no—
1031C2×D4—81no—
1032C2×D4—81no—
1033C22×C4—21no—
1034C22×C4—21no—
1035C22×C4—21no—
1036C22×C4—21no—
1037C22×C4—22no—
1038C22×C4—21no—
1039C22×C4—21no—
1040C22×C4—21no—
1041C22×C4—21no—
1042C22×C4—24no—
1043C22×C4—22no—
1044C22×C4—22no—
1045C22×C4—21no—
1046C22×C4—21no—
1047C22×C4—21no—
1048C22×C4—21no—
1049C22×C4—21no—
1050C22×C4—21no—
1051C22×C4—21no—
1052C22×C4—21no—
1053C22×C4—21no—
1054C22×C4—21no—
1055C22×C4—21no—
1056C22×C4—21no—
1057C22×C4—21no—
1058C22×C4—21no—
1059C22×C4—21no—
1060C22×C4—21no—
1061C22×C4—21no—
1062C22×C4—21no—
1063C22×C4—21no—
1064C22×C4—21no—
1065C22×C4—21no—
1066C22×C4—21no—
1067C22×C4—21no—
1068C22×C4—21no—
1069C22×C4—21no—
1070C22×C4—21no—
1071C22×C4—21no—
1072C22×C4—41no—
1073C22×C4—41no—
1074C22×C4—41no—
1075C22×C4—41no—
1076C22×C4—41no—
1077C22×C4—41no—
1078C22×C4—42no—
1079C22×C4—42no—
1080C22×C4—44no—
1081C22×C4—44no—
1082C22×C4—44no—
1083C22×C4—44no—
1084C22×C4—42no—
1085C22×C4—42no—
1086C22×C4—42no—
1087C22×C4—81no—
1088C22×C4—81no—
1089C22×C4—81no—
1090C22×C4—81no—
1091C22×C4—81no—
1092C22×C4—81no—
1093C22×C4—81no—
1094C22×C4—81no—
1095C22×C4—81no—
1096C22×C4C22×D411yescharacteristic
1097C22×C4C22×D411yescharacteristic
1098C22×C4C22×D411yescharacteristic
1099C22×C4C22×D411yescharacteristic
1100C22×C4C22×D411yescharacteristic
1101C22×C4C22×D411yescharacteristic
1102C22×C4C22×D411yescharacteristic
1103C22×C4C22×D411yescharacteristic
1104C22×C4C22×D411yescharacteristic
1105C22×C4C22×D411yescharacteristic
1106C22×C4C22×D412yes—
1107C22×C4H(5,𝔽2)12yes—
1108C22×C4C2511yescharacteristic
1109Q16—44no—
1110Q16—44no—
1111SD16—44no—
1112SD16—44no—
1113SD16—44no—
1114SD16—82no—
1115SD16—82no—
1116D8—82no—
1117D8—82no—
1118M16—28no—
1119M16—44no—
1120M16—44no—
1121M16—44no—
1122C2×C8—21no—
1123C2×C8—21no—
1124C2×C8—21no—
1125C2×C8—21no—
1126C2×C8—21no—
1127C2×C8—21no—
1128C2×C8—21no—
1129C2×C8—21no—
1130C2×C8—21no—
1131C2×C8—21no—
1132C2×C8—21no—
1133C2×C8—21no—
1134C2×C8—21no—
1135C2×C8—21no—
1136C2×C8—21no—
1137C2×C8—21no—
1138C2×C8—21no—
1139C2×C8—21no—
1140C2×C8—21no—
1141C2×C8—21no—
1142C2×C8—44no—
1143C2×C8—44no—
1144C2×C8—82no—
1145C2×C8C22×D412yes—
1146C2×C8C22×D412yes—
1147C2×C8H(5,𝔽2)12yes—
1148C2×C8H(5,𝔽2)12yes—
1149C4⋊C4—22no—
1150C4⋊C4—21no—
1151C4⋊C4—21no—
1152C4⋊C4—21no—
1153C4⋊C4—21no—
1154C4⋊C4—21no—
1155C4⋊C4—21no—
1156C4⋊C4—21no—
1157C4⋊C4—21no—
1158C4⋊C4—21no—
1159C4⋊C4—21no—
1160C4⋊C4—21no—
1161C4⋊C4—21no—
1162C4⋊C4—21no—
1163C4⋊C4—21no—
1164C4⋊C4—21no—
1165C4⋊C4—21no—
1166C4⋊C4—21no—
1167C4⋊C4—21no—
1168C4⋊C4—41no—
1169C4⋊C4—41no—
1170C4⋊C4—42no—
1171C4⋊C4—42no—
1172C4⋊C4—42no—
1173C4⋊C4—42no—
1174C4⋊C4—42no—
1175C4⋊C4—42no—
1176C4⋊C4—42no—
1177C4⋊C4—42no—
1178C4⋊C4—42no—
1179C4⋊C4—42no—
1180C4⋊C4—42no—
1181C4⋊C4—81no—
1182C4⋊C4—81no—
1183C4⋊C4—81no—
1184C4⋊C4—81no—
1185C4⋊C4—81no—
1186C4⋊C4—81no—
1187C4⋊C4C22×D412yes—
1188C4⋊C4C22×D412yes—
1189C22⋊C4—24no—
1190C22⋊C4—22no—
1191C22⋊C4—22no—
1192C22⋊C4—22no—
1193C22⋊C4—41no—
1194C22⋊C4—41no—
1195C22⋊C4—41no—
1196C22⋊C4—41no—
1197C22⋊C4—41no—
1198C22⋊C4—41no—
1199C22⋊C4—41no—
1200C22⋊C4—41no—
1201C22⋊C4—41no—
1202C22⋊C4—42no—
1203C22⋊C4—42no—
1204C22⋊C4—42no—
1205C22⋊C4—42no—
1206C22⋊C4—42no—
1207C22⋊C4—42no—
1208C22⋊C4—42no—
1209C22⋊C4—42no—
1210C22⋊C4—42no—
1211C22⋊C4—42no—
1212C22⋊C4—42no—
1213C22⋊C4—42no—
1214C22⋊C4—42no—
1215C22⋊C4—42no—
1216C22⋊C4—42no—
1217C22⋊C4—42no—
1218C22⋊C4—42no—
1219C22⋊C4—42no—
1220C22⋊C4—42no—
1221C22⋊C4—42no—
1222C22⋊C4—42no—
1223C22⋊C4—81no—
1224C22⋊C4—81no—
1225C22⋊C4—81no—
1226C22⋊C4—81no—
1227C22⋊C4—81no—
1228C22⋊C4—81no—
1229C22⋊C4—81no—
1230C22⋊C4—81no—
1231C22⋊C4—81no—
1232C22⋊C4—81no—
1233C22⋊C4—81no—
1234C22⋊C4—81no—
1235C22⋊C4—81no—
1236C22⋊C4—81no—
1237C22⋊C4—81no—
1238C22⋊C4—81no—
1239C22⋊C4—81no—
1240C22⋊C4—81no—
1241C22⋊C4—81no—
1242C42—24no—
1243C42—21no—
1244C42—21no—
1245C42—21no—
1246C42—21no—
1247C42—21no—
1248C42—21no—
1249C42—42no—
1250C42—42no—
1251C42—81no—
1252C42—81no—
1253C42—81no—
1254C42—81no—
1255C23—21no—
1256C23—21no—
1257C23—21no—
1258C23—21no—
1259C23—21no—
1260C23—21no—
1261C23—21no—
1262C23—21no—
1263C23—21no—
1264C23—21no—
1265C23—21no—
1266C23—21no—
1267C23—21no—
1268C23—21no—
1269C23—21no—
1270C23—21no—
1271C23—21no—
1272C23—21no—
1273C23—21no—
1274C23—21no—
1275C23—21no—
1276C23—21no—
1277C23—21no—
1278C23—21no—
1279C23—21no—
1280C23—21no—
1281C23—44no—
1282C23—44no—
1283C23—41no—
1284C23—41no—
1285C23—41no—
1286C23—41no—
1287C23—41no—
1288C23—41no—
1289C23—41no—
1290C23—41no—
1291C23—41no—
1292C23—41no—
1293C23—41no—
1294C23—41no—
1295C23—41no—
1296C23—41no—
1297C23—41no—
1298C23—41no—
1299C23—41no—
1300C23—41no—
1301C23—41no—
1302C23—41no—
1303C23—41no—
1304C23—82no—
1305C23—82no—
1306C23—82no—
1307C23—82no—
1308C23—82no—
1309C23D4212yes—
1310C23#57512yes—
1311C23C23×D411yescharacteristic
1312Q8—22no—
1313Q8—22no—
1314Q8—22no—
1315Q8—22no—
1316Q8—41no—
1317Q8—41no—
1318Q8—41no—
1319Q8—41no—
1320Q8—41no—
1321Q8—41no—
1322Q8—41no—
1323Q8—41no—
1324Q8—84no—
1325Q8—162no—
1326D4—44no—
1327D4—41no—
1328D4—41no—
1329D4—41no—
1330D4—41no—
1331D4—41no—
1332D4—41no—
1333D4—41no—
1334D4—41no—
1335D4—41no—
1336D4—41no—
1337D4—41no—
1338D4—41no—
1339D4—82no—
1340D4—84no—
1341D4—82no—
1342D4—84no—
1343D4—84no—
1344D4—84no—
1345D4—84no—
1346D4—162no—
1347D4—162no—
1348D4—162no—
1349D4—162no—
1350D4—162no—
1351D4—162no—
1352D4—162no—
1353D4—162no—
1354D4—162no—
1355C2×C4—21no—
1356C2×C4—21no—
1357C2×C4—22no—
1358C2×C4—22no—
1359C2×C4—22no—
1360C2×C4—22no—
1361C2×C4—21no—
1362C2×C4—21no—
1363C2×C4—21no—
1364C2×C4—21no—
1365C2×C4—21no—
1366C2×C4—21no—
1367C2×C4—21no—
1368C2×C4—21no—
1369C2×C4—21no—
1370C2×C4—21no—
1371C2×C4—22no—
1372C2×C4—22no—
1373C2×C4—21no—
1374C2×C4—21no—
1375C2×C4—22no—
1376C2×C4—22no—
1377C2×C4—21no—
1378C2×C4—21no—
1379C2×C4—21no—
1380C2×C4—21no—
1381C2×C4—21no—
1382C2×C4—21no—
1383C2×C4—21no—
1384C2×C4—21no—
1385C2×C4—21no—
1386C2×C4—21no—
1387C2×C4—21no—
1388C2×C4—21no—
1389C2×C4—21no—
1390C2×C4—21no—
1391C2×C4—21no—
1392C2×C4—44no—
1393C2×C4—44no—
1394C2×C4—44no—
1395C2×C4—41no—
1396C2×C4—41no—
1397C2×C4—41no—
1398C2×C4—41no—
1399C2×C4—41no—
1400C2×C4—41no—
1401C2×C4—41no—
1402C2×C4—41no—
1403C2×C4—41no—
1404C2×C4—41no—
1405C2×C4—41no—
1406C2×C4—41no—
1407C2×C4—41no—
1408C2×C4—41no—
1409C2×C4—41no—
1410C2×C4—41no—
1411C2×C4—41no—
1412C2×C4—41no—
1413C2×C4—41no—
1414C2×C4—41no—
1415C2×C4—41no—
1416C2×C4—41no—
1417C2×C4—41no—
1418C2×C4—41no—
1419C2×C4—41no—
1420C2×C4—41no—
1421C2×C4—41no—
1422C2×C4—41no—
1423C2×C4—41no—
1424C2×C4—41no—
1425C2×C4—41no—
1426C2×C4—41no—
1427C2×C4—41no—
1428C2×C4—41no—
1429C2×C4—41no—
1430C2×C4—41no—
1431C2×C4—41no—
1432C2×C4—41no—
1433C2×C4—41no—
1434C2×C4—41no—
1435C2×C4—41no—
1436C2×C4—41no—
1437C2×C4—41no—
1438C2×C4—41no—
1439C2×C4—41no—
1440C2×C4—41no—
1441C2×C4—41no—
1442C2×C4—84no—
1443C2×C4—84no—
1444C2×C4—84no—
1445C2×C4—84no—
1446C2×C4—84no—
1447C2×C4D4212yes—
1448C2×C4C23×D411yescharacteristic
1449C2×C4C2×H(5,𝔽2)11yescharacteristic
1450C2×C4C2×H(5,𝔽2)11yescharacteristic
1451C2×C4C2×H(5,𝔽2)11yescharacteristic
1452C2×C4#58511yescharacteristic
1453C2×C4#58511yescharacteristic
1454C8—22no—
1455C8—22no—
1456C8—22no—
1457C8—22no—
1458C8—41no—
1459C8—41no—
1460C8—41no—
1461C8—41no—
1462C22—22no—
1463C22—22no—
1464C22—22no—
1465C22—22no—
1466C22—22no—
1467C22—22no—
1468C22—41no—
1469C22—41no—
1470C22—41no—
1471C22—41no—
1472C22—41no—
1473C22—41no—
1474C22—41no—
1475C22—41no—
1476C22—41no—
1477C22—41no—
1478C22—41no—
1479C22—41no—
1480C22—41no—
1481C22—41no—
1482C22—41no—
1483C22—41no—
1484C22—41no—
1485C22—41no—
1486C22—41no—
1487C22—41no—
1488C22—41no—
1489C22—41no—
1490C22—88no—
1491C22—81no—
1492C22—81no—
1493C22—81no—
1494C22—81no—
1495C22—81no—
1496C22—81no—
1497C22—81no—
1498C22—81no—
1499C22—81no—
1500C22—81no—
1501C22—81no—
1502C22—81no—
1503C22—81no—
1504C22—81no—
1505C22—81no—
1506C22—81no—
1507C22—81no—
1508C22—81no—
1509C22—81no—
1510C22—81no—
1511C22—81no—
1512C22C2×D4211yescharacteristic
1513C22#349611yescharacteristic
1514C22#349611yescharacteristic
1515C22C2×#57511yescharacteristic
1516C22#358411yescharacteristic
1517C22#358511yescharacteristic
1518C22#358611yescharacteristic
1519C4—22no—
1520C4—41no—
1521C4—41no—
1522C4—41no—
1523C4—41no—
1524C4—41no—
1525C4—42no—
1526C4—41no—
1527C4—42no—
1528C4—41no—
1529C4—41no—
1530C4—41no—
1531C4—42no—
1532C4—42no—
1533C4—81no—
1534C4—81no—
1535C4—81no—
1536C4—81no—
1537C4—81no—
1538C4—81no—
1539C4—81no—
1540C4—81no—
1541C4—81no—
1542C4#344911yescharacteristic
1543C4#348411yescharacteristic
1544C4#354211yescharacteristic
1545C4#354211yescharacteristic
1546C2—42no—
1547C2—42no—
1548C2—81no—
1549C2—81no—
1550C2—161no—
1551C2—161no—
1552C2—161no—
1553C2#3933211yescharacteristic
1554C2#6106811yescharacteristic
1555C2#6107711yescharacteristic
1556C2#6225511yescharacteristic
1557C2#6228911yescharacteristic
1558C2#6230111yescharacteristic
1559C2#6230911yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C4×#120 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#3321C2semidirect
2. C2×#3056C2semidirect
3. #39886C2semidirect
4. #39723C2semidirect
5. #32936C2semidirect
6. #30861C2semidirect
7. #30851C2semidirect
8. #30680C2semidirect
9. #30668C2semidirect
10. #30580C2semidirect
11. #30564C2semidirect
12. #30515C2semidirect
13. #30502C2semidirect
14. #29600C2semidirect
15. #29595C2semidirect
16. #28935C2semidirect
17. #28919C2semidirect
18. #28354C2semidirect
19. #28103C2semidirect
20. #26986C2semidirect
21. #26978C2semidirect
22. #25402C2semidirect
23. #25389C2semidirect
24. #25127C2semidirect
25. #25115C2semidirect
26. #24597C2semidirect
27. #24368C2semidirect
28. #24105C2semidirect
29. #23871C2semidirect
30. #22581C2semidirect
31. #21439C2semidirect
39. C2×#489C22semidirect
40. C2×#485C22semidirect
43. C2×#475C22semidirect
56. C2×#465C22semidirect
57. C2×#464C22semidirect
58. C2×#460C22semidirect
59. C2×#463C22semidirect
60. C2×#452C22semidirect
62. C2×#449C22semidirect
63. C2×#449C22semidirect
65. C2×#440C22semidirect
72. C2×#416C22semidirect
114. #2097C22semidirect
115. #2092C22semidirect
116. #2085C22semidirect
117. #2085C22semidirect
118. #2067C22semidirect
119. #2066C22semidirect
120. #2065C22semidirect
121. #2065C22semidirect
122. #2057C22semidirect
123. #2057C22semidirect
124. #2056C22semidirect
125. #2055C22semidirect
131. #2036C22semidirect
134. #2034C22semidirect
136. #2033C22semidirect
137. #2033C22semidirect
138. #2015C22semidirect
139. #2015C22semidirect
140. #2014C22semidirect
141. #2012C22semidirect
142. #2012C22semidirect
143. #2011C22semidirect
144. #2001C22semidirect
151. #2000C22semidirect
154. #1973C22semidirect
155. #1970C22semidirect
156. #1961C22semidirect
157. #1958C22semidirect
158. #1949C22semidirect
159. #1949C22semidirect
160. #1936C22semidirect
161. #1935C22semidirect
162. #1935C22semidirect
163. #1933C22semidirect
164. #1928C22semidirect
165. #1927C22semidirect
166. #1925C22semidirect
167. #1925C22semidirect
174. #1893C22semidirect
175. #1892C22semidirect
176. #1880C22semidirect
177. #1880C22semidirect
178. #1878C22semidirect
179. #1878C22semidirect
183. #1865C22semidirect
184. #1864C22semidirect
185. #1864C22semidirect
186. #1863C22semidirect
187. #1854C22semidirect
188. #1854C22semidirect
200. #1763C22semidirect
201. C4×#103C22semidirect
337. #419D4semidirect

Maximal subgroups

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

subgroupindex
C2×#33212
C2×#30562
#398862
#397232
#329362
#308612
#308512
#306802
#306682
#305802
#305642
#305152
#305022
#296002
#295952
#289352
#289192
#283542
#281032
#269862
#269782
#254022
#253892
#251272
#251152
#245972
#243682
#241052
#238712
#225812
#214392