Finite Group Databasebeta

← #6806885

Subgroups — #6806885

Order 512.

2099 conjugacy classes of subgroups.

The subgroup lattice has 1550 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3323C211yesmaximal, characteristic, complemented
2C2×#3061C211yesmaximal, characteristic, complemented
3#42942C211yesmaximal, characteristic, complemented
4#42643C211yesmaximal, characteristic, complemented
5#32938C211yesmaximal, characteristic, complemented
6#30863C211yesmaximal, characteristic, complemented
7#30854C211yesmaximal, characteristic, complemented
8#30683C211yesmaximal, characteristic, complemented
9#30663C211yesmaximal, characteristic, complemented
10#30578C211yesmaximal, characteristic, complemented
11#30562C211yesmaximal, characteristic, complemented
12#30510C211yesmaximal, characteristic, complemented
13#30501C211yesmaximal, characteristic, complemented
14#29609C211yesmaximal, characteristic, complemented
15#29606C211yesmaximal, characteristic, complemented
16#28926C211yesmaximal, characteristic, complemented
17#28910C211yesmaximal, characteristic, complemented
18#28368C211yesmaximal, characteristic, complemented
19#28113C211yesmaximal, characteristic, complemented
20#26967C211yesmaximal, characteristic, complemented
21#26959C211yesmaximal, characteristic, complemented
22#25398C211yesmaximal, characteristic, complemented
23#25391C211yesmaximal, characteristic, complemented
24#25136C211yesmaximal, characteristic, complemented
25#25116C211yesmaximal, characteristic, complemented
26#24583C211yesmaximal, characteristic, complemented
27#24363C211yesmaximal, characteristic, complemented
28#24094C211yesmaximal, characteristic, complemented
29#23850C211yesmaximal, characteristic, complemented
30#22579C211yesmaximal, characteristic, complemented
31#21445C211yesmaximal, characteristic, complemented
32C22×#135C2211yescharacteristic
33C22×#131C2211yescharacteristic, complemented
34C2×#552C2211yescharacteristic
35C2×#546C2211yescharacteristic
36C2×#537C2211yescharacteristic
37C2×#537C2211yescharacteristic, complemented
38#3323—28no—
39C2×#488C2211yescharacteristic
40C2×#481C2211yescharacteristic
41C2×#485C2211yescharacteristic
42C2×#483C2211yescharacteristic, complemented
43C2×#478C2211yescharacteristic
44#3061—28no—
45C2×#470C2211yescharacteristic
46C2×#468C2211yescharacteristic
47C2×#468C2211yescharacteristic
48C2×#468C2211yescharacteristic
49C2×#468C2211yescharacteristic
50C2×#468C2211yescharacteristic, complemented
51C2×#468C2211yescharacteristic, complemented
52C2×#467C2211yescharacteristic, complemented
53C2×#467C2211yescharacteristic, complemented
54C2×#466C2211yescharacteristic
55C2×#466C2211yescharacteristic
56C2×#465C2211yescharacteristic
57C2×#464C2211yescharacteristic
58C2×#464C2211yescharacteristic, complemented
59C2×#462C2211yescharacteristic, complemented
60C2×#452C2211yescharacteristic
61C2×#449C2211yescharacteristic
62C2×#450C2211yescharacteristic
63C2×#450C2211yescharacteristic
64C2×#447C2211yescharacteristic
65C2×C4×SD16C2211yescharacteristic
66C2×#436C2211yescharacteristic
67C2×#436C2211yescharacteristic
68C2×#435C2211yescharacteristic
69C22×#107C2211yescharacteristic, complemented
70C2×#417C2211yescharacteristic
71C2×#417C2211yescharacteristic, complemented
72C2×#418C2211yescharacteristic
73#2814—21no—
74#2813—21no—
75#2723—21no—
76#2720—21no—
77#2714—21no—
78#2711—21no—
79#2699—21no—
80#2699—21no—
81#2678—21no—
82#2678—21no—
83#2661—21no—
84#2661—21no—
85#2624—21no—
86#2617—21no—
87#2616C2211yescharacteristic, complemented
88#2615C2211yescharacteristic
89#2561—21no—
90#2542C2211yescharacteristic
91#2540C2211yescharacteristic
92#2536C2211yescharacteristic
93#2536C2211yescharacteristic
94#2504C2211yescharacteristic
95#2500—21no—
96#2490C2211yescharacteristic, complemented
97#2489C2211yescharacteristic, complemented
98#2486C2211yescharacteristic
99#2432C2211yescharacteristic, complemented
100#2429C2211yescharacteristic, complemented
101#2426C2211yescharacteristic
102#2426C2211yescharacteristic
103#2426C2211yescharacteristic, complemented
104#2420C2211yescharacteristic
105#2420C2211yescharacteristic
106#2415C2211yescharacteristic
107#2414C2211yescharacteristic
108#2408C2211yescharacteristic
109#2408C2211yescharacteristic
110#2407C2211yescharacteristic
111#2388C2211yescharacteristic
112#2345C2211yescharacteristic, complemented
113#2341C2211yescharacteristic
114#2097C2211yescharacteristic, complemented
115#2092C2211yescharacteristic, complemented
116#2085C2211yescharacteristic, complemented
117#2085C2211yescharacteristic, complemented
118#2067C2211yescharacteristic
119#2067C2211yescharacteristic
120#2067C2211yescharacteristic, complemented
121#2066C2211yescharacteristic, complemented
122#2059C2211yescharacteristic, complemented
123#2059C2211yescharacteristic, complemented
124#2055C2211yescharacteristic
125#2054C2211yescharacteristic
126#2036C2211yescharacteristic
127#2036C2211yescharacteristic
128#2036C2211yescharacteristic
129#2035C2211yescharacteristic, complemented
130#2035C2211yescharacteristic, complemented
131#2035C2211yescharacteristic, complemented
132#2035C2211yescharacteristic, complemented
133#2034C2211yescharacteristic
134#2034C2211yescharacteristic
135#2034C2211yescharacteristic
136#2034C2211yescharacteristic, complemented
137#2034C2211yescharacteristic, complemented
138#2015C2211yescharacteristic
139#2013C2211yescharacteristic
140#2013C2211yescharacteristic
141#2012C2211yescharacteristic
142#2012C2211yescharacteristic
143#2012C2211yescharacteristic
144#2001C2211yescharacteristic
145#2001C2211yescharacteristic, complemented
146#2001C2211yescharacteristic, complemented
147#2000C2211yescharacteristic
148#2000C2211yescharacteristic
149#2000C2211yescharacteristic
150#2000C2211yescharacteristic
151#2000C2211yescharacteristic
152#1999C2211yescharacteristic
153#1999C2211yescharacteristic
154#1972C2211yescharacteristic
155#1968C2211yescharacteristic
156#1960C2211yescharacteristic, complemented
157#1958C2211yescharacteristic, complemented
158#1949C2211yescharacteristic, complemented
159#1949C2211yescharacteristic, complemented
160#1936C2211yescharacteristic
161#1934C2211yescharacteristic
162#1934C2211yescharacteristic, complemented
163#1933C2211yescharacteristic, complemented
164#1926C2211yescharacteristic
165#1925C2211yescharacteristic
166#1925C2211yescharacteristic
167#1925C2211yescharacteristic
168#1895C2211yescharacteristic
169#1895C2211yescharacteristic
170#1894C2211yescharacteristic
171#1894C2211yescharacteristic, complemented
172#1893C2211yescharacteristic
173#1893C2211yescharacteristic
174#1892C2211yescharacteristic, complemented
175#1892C2211yescharacteristic, complemented
176#1880C2211yescharacteristic, complemented
177#1879C2211yescharacteristic
178#1878C2211yescharacteristic, complemented
179#1877C2211yescharacteristic
180#1870C2211yescharacteristic
181#1869C2211yescharacteristic
182#1869C2211yescharacteristic
183#1865C2211yescharacteristic, complemented
184#1863C2211yescharacteristic, complemented
185#1863C2211yescharacteristic, complemented
186#1863C2211yescharacteristic, complemented
187#1854C2211yescharacteristic
188#1854C2211yescharacteristic
189#1851C2211yescharacteristic, complemented
190#1850C2211yescharacteristic, complemented
191#1850C2211yescharacteristic, complemented
192#1824C2211yescharacteristic, complemented
193#1823C2211yescharacteristic, complemented
194#1809C2211yescharacteristic, complemented
195#1809C2211yescharacteristic, complemented
196#1808C2211yescharacteristic, complemented
197#1788C2211yescharacteristic
198#1788C2211yescharacteristic, complemented
199#1780C2211yescharacteristic, complemented
200#1763C2211yescharacteristic, complemented
201C4×#103C2211yescharacteristic, complemented
202#1753C2211yescharacteristic, complemented
203#1753C2211yescharacteristic, complemented
204C8×C22⋊C4C2211yescharacteristic, complemented
205C22×#41C2311yescharacteristic
206C22×#41C2311yescharacteristic
207C22×#41C2311yescharacteristic
208C23×D4C2311yescharacteristic
209C2×#135—24no—
210C2×#135—42no—
211C2×#135—42no—
212C22×Q16C2311yescharacteristic
213C22×Q16C2311yescharacteristic
214C22×SD16C2311yescharacteristic
215C22×SD16C2311yescharacteristic
216C22×SD16C2311yescharacteristic
217C22×SD16C2311yescharacteristic
218C22×SD16C2311yescharacteristic
219C22×D8C2311yescharacteristic
220C22×D8C2311yescharacteristic
221C2×#131—24no—
222C2×#131—42no—
223C2×#131—42no—
224C22×M16C2311yescharacteristic
225C22×M16C2311yescharacteristic
226C22×M16C2311yescharacteristic
227C22×M16C2311yescharacteristic
228C23×C8C2311yescharacteristic
229C23×C8C2311yescharacteristic
230C23×C8C2311yescharacteristic
231#552—24no—
232#552—42no—
233#546—24no—
234#546—42no—
235#537—24no—
236#537—24no—
237#537—42no—
238#537—42no—
239C2×C4⋊Q8C2311yescharacteristic
240C2×#126—21no—
241C2×#125—21no—
242C2×#125C2311yescharacteristic
243C2×#124C2311yescharacteristic
244C2×#124C2311yescharacteristic
245C2×#123—21no—
246C2×#123—21no—
247C2×#123—21no—
248C2×C22⋊Q8—21no—
249C2×C22⋊Q8—21no—
250C2×C22⋊Q8C2311yescharacteristic
251C2×C22⋊Q8C2311yescharacteristic
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×#121—21no—
264C2×#121—21no—
265C2×#121—21no—
266C2×#121—21no—
267C2×#121C2311yescharacteristic
268C2×#121C2311yescharacteristic
269C2×#121C2311yescharacteristic
270C2×#121C2311yescharacteristic
271C2×#121C2311yescharacteristic
272C2×#121C2311yescharacteristic
273C2×#121C2311yescharacteristic
274C2×#121C2311yescharacteristic
275C2×#120—21no—
276C2×#120—21no—
277C2×#120—21no—
278C2×C4×Q8C2311yescharacteristic
279C2×C4×Q8C2311yescharacteristic
280C2×C4×Q8C2311yescharacteristic
281C2×C4×D4C2311yescharacteristic
282C2×C4×D4C2311yescharacteristic
283C2×C4×D4C2311yescharacteristic
284C2×C4×D4C2311yescharacteristic
285C2×#117—21no—
286C2×#117C2311yescharacteristic
287C22×C4⋊C4C2311yescharacteristic
288C22×C4⋊C4C2311yescharacteristic
289C22×C22⋊C4—21no—
290#488—24no—
291#485—24no—
292#483—42no—
293#481—24no—
294#478—24no—
295#470—24no—
296#468—24no—
297#468—24no—
298#468—24no—
299#468—24no—
300#468—24no—
301#468—42no—
302#467—24no—
303#467—24no—
304#466—24no—
305#466—24no—
306#465—42no—
307#464—24no—
308#464—42no—
309#462—42no—
310#452—24no—
311#450—24no—
312#450—42no—
313#449—42no—
314#447—42no—
315C4×SD16—24no—
316#436—24no—
317#436—42no—
318#435—42no—
319C2×#107—24no—
320C2×#107C2311yescharacteristic
321C2×#107C2311yescharacteristic
322C2×#107C2311yescharacteristic
323C2×#107C2311yescharacteristic
324C2×#107C2311yescharacteristic
325C2×#107C2311yescharacteristic
326C2×#106C2311yescharacteristic
327C2×#106C2311yescharacteristic
328C2×#106C2311yescharacteristic
329C2×#106C2311yescharacteristic
330C2×#106C2311yescharacteristic
331C2×C4⋊C8C2311yescharacteristic
332C2×C4⋊C8C2311yescharacteristic
333C2×C4⋊C8C2311yescharacteristic
334#418—24no—
335#417—24no—
336#417D418yescomplemented
337C2×#103C2311yescharacteristic
338C2×#103C2311yescharacteristic
339C2×#103C2311yescharacteristic
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×#102C2311yescharacteristic
353C2×#102C2311yescharacteristic
354C2×#102C2311yescharacteristic
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×C22⋊C8C2311yescharacteristic
368C2×C22⋊C8C2311yescharacteristic
369C2×C22⋊C8C2311yescharacteristic
370C2×C22⋊C8C2311yescharacteristic
371C2×C22⋊C8C2311yescharacteristic
372C2×C22⋊C8C2311yescharacteristic
373C2×C22⋊C8C2311yescharacteristic
374C2×C22⋊C8C2311yescharacteristic
375C2×C22⋊C8C2311yescharacteristic
376C2×#97C2311yescharacteristic
377C2×C4×C8C2311yescharacteristic
378C2×C4×C8C2311yescharacteristic
379#400—21no—
380#399—21no—
381#399—21no—
382#399—21no—
383#398—21no—
384#398—21no—
385#398—21no—
386#398—21no—
387#397—21no—
388#397—21no—
389#397—21no—
390#397—21no—
391#397—21no—
392#397—21no—
393#397—21no—
394#397—21no—
395#396—21no—
396#396—21no—
397#396—21no—
398#396—21no—
399#395—21no—
400#395D411yescharacteristic
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#394—21no—
411#394—21no—
412#394—21no—
413#394—21no—
414#394—21no—
415#394—21no—
416#394—21no—
417#394—21no—
418#394—21no—
419#394D411yescharacteristic
420#394D411yescharacteristic
421#394D411yescharacteristic
422#393—21no—
423#393D411yescharacteristic
424#392—21no—
425#392—21no—
426#392—21no—
427#392—21no—
428#392—21no—
429#392—21no—
430#392—21no—
431#392—21no—
432#392D411yescharacteristic
433#392D411yescharacteristic
434#392D411yescharacteristic
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#390—21no—
446#390—21no—
447#390C2311yescharacteristic
448#390C2311yescharacteristic
449#390C2311yescharacteristic
450#390C2311yescharacteristic
451#390C2311yescharacteristic
452#390C2311yescharacteristic
453#389—21no—
454#389—21no—
455#389C2311yescharacteristic
456#389C2311yescharacteristic
457#389C2311yescharacteristic
458#389C2311yescharacteristic
459#388—21no—
460#388—21no—
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#388—21no—
470#388—21no—
471#387—21no—
472#387—21no—
473#386—21no—
474#386—21no—
475#386—21no—
476#386—21no—
477#386—21no—
478#385—21no—
479#385—21no—
480#385—21no—
481#384—21no—
482#382—21no—
483#382C2311yescharacteristic
484#382C2311yescharacteristic
485#381—21no—
486#381—21no—
487#381—21no—
488#380—21no—
489#380—21no—
490#380C2311yescharacteristic
491#380C2311yescharacteristic
492#380C2311yescharacteristic
493#380C2311yescharacteristic
494#380C2311yescharacteristic
495#380C2311yescharacteristic
496#380C2311yescharacteristic
497#380C2311yescharacteristic
498#379—21no—
499#379—21no—
500C4×C4⋊C4C2311yescharacteristic
501C4×C4⋊C4C2311yescharacteristic
502C4×C22⋊C4—21no—
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
527C25—21no—
528C2×#41—22no—
529C2×#41—22no—
530C2×#41—22no—
531C2×#41—22no—
532C2×#41—22no—
533C2×#41—41no—
534C2×#41—41no—
535C2×#41—41no—
536C2×#41—41no—
537C2×#41—41no—
538C2×#41—41no—
539C2×#41—41no—
540C2×#41—41no—
541C2×#41—41no—
542C2×#41—41no—
543C2×#41—41no—
544C2×#41—41no—
545C2×#41C2×D414yes—
546C22×Q8C2×D411yescharacteristic
547C22×Q8C2411yescharacteristic
548C22×Q8C2411yescharacteristic
549C22×Q8C2411yescharacteristic
550C22×D4—21no—
551C22×D4—22no—
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—41no—
563C22×D4—41no—
564C22×D4—41no—
565C22×D4—41no—
566C22×D4—41no—
567C22×D4C2×D411yescharacteristic
568C22×D4C2×D411yescharacteristic
569C22×D4C2×D411yescharacteristic
570C22×D4C2×D411yescharacteristic
571C22×D4C2×D411yescharacteristic
572C22×D4C2×D411yescharacteristic
573C22×D4C2411yescharacteristic
574C22×D4C2411yescharacteristic
575C22×D4C2411yescharacteristic
576C23×C4—21no—
577C23×C4—21no—
578C23×C4—21no—
579C23×C4—21no—
580C23×C4—21no—
581C23×C4C2411yescharacteristic
582C23×C4C2411yescharacteristic
583C23×C4C2411yescharacteristic
584C23×C4C2411yescharacteristic
585#135—416no—
586C2×Q16—22no—
587C2×Q16—22no—
588C2×Q16—22no—
589C2×Q16—41no—
590C2×Q16—41no—
591C2×Q16—41no—
592C2×SD16—22no—
593C2×SD16—22no—
594C2×SD16—22no—
595C2×SD16—22no—
596C2×SD16—22no—
597C2×SD16—22no—
598C2×SD16—41no—
599C2×SD16—41no—
600C2×SD16—41no—
601C2×SD16—41no—
602C2×SD16—41no—
603C2×SD16—41no—
604C2×SD16—41no—
605C2×SD16—41no—
606C2×SD16—41no—
607C2×D8—22no—
608C2×D8—22no—
609C2×D8—41no—
610C2×D8—41no—
611C2×D8—41no—
612C2×D8—41no—
613#131—416no—
614C2×M16—22no—
615C2×M16—22no—
616C2×M16—22no—
617C2×M16—22no—
618C2×M16—22no—
619C2×M16—41no—
620C2×M16—41no—
621C2×M16—41no—
622C2×M16—41no—
623C2×M16—41no—
624C2×M16—41no—
625C2×M16C2×D414yes—
626C22×C8—22no—
627C22×C8—22no—
628C22×C8—22no—
629C22×C8—22no—
630C22×C8—22no—
631C22×C8—22no—
632C22×C8—22no—
633C22×C8—41no—
634C22×C8—41no—
635C22×C8C2411yescharacteristic
636C22×C8C2411yescharacteristic
637C22×C8C2411yescharacteristic
638C22×C8C2411yescharacteristic
639C22×C8C2411yescharacteristic
640C22×C8C2411yescharacteristic
641C22×C8C2411yescharacteristic
642C22×C8C2411yescharacteristic
643C4⋊Q8—41no—
644C4⋊Q8—41no—
645#126—44no—
646#125—22no—
647#125—41no—
648#125—44no—
649#124—22no—
650#124—41no—
651#124—41no—
652#124—41no—
653#123—44no—
654#123—44no—
655#123—82no—
656C22⋊Q8—22no—
657C22⋊Q8—22no—
658C22⋊Q8—22no—
659C22⋊Q8—22no—
660C22⋊Q8—22no—
661C22⋊Q8—22no—
662C22⋊Q8—22no—
663C22⋊Q8—22no—
664C22⋊Q8—41no—
665C22⋊Q8—41no—
666C22⋊Q8—41no—
667C22⋊Q8—41no—
668C22⋊Q8—41no—
669C22⋊Q8—41no—
670C22⋊Q8—44no—
671C22⋊Q8—44no—
672C22⋊Q8—41no—
673C22⋊Q8—41no—
674C22⋊Q8—41no—
675C22⋊Q8—41no—
676C22⋊Q8—41no—
677C22⋊Q8—41no—
678#121—22no—
679#121—22no—
680#121—22no—
681#121—22no—
682#121—22no—
683#121—22no—
684#121—44no—
685#121—41no—
686#121—41no—
687#121—41no—
688#121—41no—
689#121—44no—
690#121—44no—
691#121—44no—
692#121—44no—
693#121—44no—
694#121—44no—
695#121—41no—
696#121—41no—
697#121—41no—
698#121—41no—
699#121—41no—
700#121—41no—
701#120—44no—
702#120—82no—
703#120—82no—
704C4×Q8—22no—
705C4×Q8—41no—
706C4×Q8—41no—
707C4×Q8—41no—
708C4×Q8—41no—
709C4×Q8—41no—
710C4×D4—22no—
711C4×D4—22no—
712C4×D4—22no—
713C4×D4—41no—
714C4×D4—41no—
715C4×D4—41no—
716C4×D4—41no—
717C4×D4—41no—
718#117—22no—
719#117—44no—
720#117—41no—
721C2×C4⋊C4—21no—
722C2×C4⋊C4—22no—
723C2×C4⋊C4—22no—
724C2×C4⋊C4—22no—
725C2×C4⋊C4—21no—
726C2×C4⋊C4—21no—
727C2×C4⋊C4—21no—
728C2×C4⋊C4—21no—
729C2×C4⋊C4—21no—
730C2×C4⋊C4—21no—
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⋊C4C2×D411yescharacteristic
748C2×C4⋊C4C2×D414yes—
749C2×C4⋊C4C2×D411yescharacteristic
750C2×C4⋊C4C2×D411yescharacteristic
751C2×C4⋊C4C2411yescharacteristic
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×C22⋊C4—21no—
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—21no—
804C2×C22⋊C4—21no—
805C2×C22⋊C4—44no—
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×C22⋊C4C2×D411yescharacteristic
817C2×C22⋊C4C2×D411yescharacteristic
818C2×C42—21no—
819C2×C42—21no—
820C2×C42—21no—
821C2×C42—21no—
822C2×C42—21no—
823C2×C42—21no—
824C2×C42C2411yescharacteristic
825C2×C42C2411yescharacteristic
826C2×C42C2411yescharacteristic
827#107—22no—
828#107—22no—
829#107—22no—
830#107—22no—
831#107—22no—
832#107—41no—
833#106—22no—
834#106—22no—
835#106—41no—
836#106—41no—
837#106—41no—
838C4⋊C8—22no—
839C4⋊C8—22no—
840C4⋊C8—22no—
841#103—22no—
842#103—22no—
843#103—22no—
844#103—22no—
845#103—22no—
846#103—22no—
847#103—41no—
848#103—41no—
849#103—41no—
850#103—41no—
851#103—41no—
852#103—41no—
853#103—41no—
854#103C2×D414yes—
855#103C2×D414yes—
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—41no—
865#102—41no—
866#102—41no—
867#102—41no—
868#102—41no—
869#102C2×D414yes—
870#102C2×D414yes—
871C22⋊C8—22no—
872C22⋊C8—22no—
873C22⋊C8—22no—
874C22⋊C8—22no—
875C22⋊C8—22no—
876C22⋊C8—41no—
877C22⋊C8—41no—
878C22⋊C8—41no—
879C22⋊C8—41no—
880#97—41no—
881C4×C8—22no—
882C4×C8—41no—
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#95C2×D411yescharacteristic
906#95C2×D411yescharacteristic
907#95C2×D411yescharacteristic
908#95C2×D411yescharacteristic
909#95C2×D411yescharacteristic
910#95C2×D411yescharacteristic
911C24—21no—
912C24—21no—
913C24—21no—
914C24—42no—
915C24—42no—
916C24—81no—
917C24—81no—
918C24—81no—
919C24—81no—
920C24—81no—
921C24C22×D411yescharacteristic
922C24C22×D411yescharacteristic
923C24C22×D411yescharacteristic
924C24C22×D411yescharacteristic
925#41—44no—
926#41—44no—
927#41—44no—
928#41—44no—
929#41—44no—
930#41—44no—
931#41—44no—
932#41—44no—
933#41—82no—
934#41—82no—
935#41—82no—
936#41—82no—
937C2×Q8—22no—
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—21no—
954C2×Q8—21no—
955C2×Q8—41no—
956C2×Q8—41no—
957C2×Q8C22×D412yes—
958C2×D4—22no—
959C2×D4—22no—
960C2×D4—22no—
961C2×D4—24no—
962C2×D4—22no—
963C2×D4—21no—
964C2×D4—21no—
965C2×D4—21no—
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—41no—
981C2×D4—41no—
982C2×D4—41no—
983C2×D4—41no—
984C2×D4—41no—
985C2×D4—41no—
986C2×D4—41no—
987C2×D4—41no—
988C2×D4—41no—
989C2×D4—41no—
990C2×D4—41no—
991C2×D4—41no—
992C2×D4—41no—
993C2×D4—41no—
994C2×D4—42no—
995C2×D4—42no—
996C2×D4—42no—
997C2×D4—44no—
998C2×D4—42no—
999C2×D4—42no—
1000C2×D4—42no—
1001C2×D4—42no—
1002C2×D4—81no—
1003C2×D4—81no—
1004C2×D4—82no—
1005C2×D4—82no—
1006C2×D4—82no—
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×D4C22×D412yes—
1031C22×C4—21no—
1032C22×C4—21no—
1033C22×C4—21no—
1034C22×C4—21no—
1035C22×C4—21no—
1036C22×C4—21no—
1037C22×C4—21no—
1038C22×C4—24no—
1039C22×C4—21no—
1040C22×C4—21no—
1041C22×C4—21no—
1042C22×C4—21no—
1043C22×C4—21no—
1044C22×C4—21no—
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—24no—
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—42no—
1069C22×C4—42no—
1070C22×C4—42no—
1071C22×C4—81no—
1072C22×C4—81no—
1073C22×C4—81no—
1074C22×C4—81no—
1075C22×C4—81no—
1076C22×C4—81no—
1077C22×C4—81no—
1078C22×C4—81no—
1079C22×C4—81no—
1080C22×C4—81no—
1081C22×C4C22×D411yescharacteristic
1082C22×C4C22×D411yescharacteristic
1083C22×C4C22×D411yescharacteristic
1084C22×C4C22×D411yescharacteristic
1085C22×C4C22×D411yescharacteristic
1086C22×C4C22×D411yescharacteristic
1087C22×C4C22×D411yescharacteristic
1088C22×C4C22×D411yescharacteristic
1089C22×C4C22×D411yescharacteristic
1090C22×C4C22×D411yescharacteristic
1091C22×C4C22×D412yes—
1092C22×C4H(5,𝔽2)12yes—
1093C22×C4C2511yescharacteristic
1094Q16—44no—
1095Q16—82no—
1096SD16—44no—
1097SD16—44no—
1098SD16—44no—
1099SD16—82no—
1100SD16—82no—
1101D8—44no—
1102D8—82no—
1103M16—44no—
1104M16—44no—
1105M16—44no—
1106M16—82no—
1107C2×C8—28no—
1108C2×C8—21no—
1109C2×C8—21no—
1110C2×C8—21no—
1111C2×C8—21no—
1112C2×C8—21no—
1113C2×C8—21no—
1114C2×C8—21no—
1115C2×C8—21no—
1116C2×C8—21no—
1117C2×C8—21no—
1118C2×C8—21no—
1119C2×C8—21no—
1120C2×C8—21no—
1121C2×C8—21no—
1122C2×C8—21no—
1123C2×C8—21no—
1124C2×C8—21no—
1125C2×C8—21no—
1126C2×C8—21no—
1127C2×C8—21no—
1128C2×C8—44no—
1129C2×C8—44no—
1130C2×C8C22×D412yes—
1131C2×C8C22×D412yes—
1132C2×C8H(5,𝔽2)12yes—
1133C2×C8H(5,𝔽2)12yes—
1134C4⋊C4—24no—
1135C4⋊C4—22no—
1136C4⋊C4—21no—
1137C4⋊C4—21no—
1138C4⋊C4—21no—
1139C4⋊C4—21no—
1140C4⋊C4—21no—
1141C4⋊C4—21no—
1142C4⋊C4—21no—
1143C4⋊C4—21no—
1144C4⋊C4—21no—
1145C4⋊C4—21no—
1146C4⋊C4—21no—
1147C4⋊C4—21no—
1148C4⋊C4—21no—
1149C4⋊C4—21no—
1150C4⋊C4—21no—
1151C4⋊C4—21no—
1152C4⋊C4—21no—
1153C4⋊C4—21no—
1154C4⋊C4—41no—
1155C4⋊C4—41no—
1156C4⋊C4—42no—
1157C4⋊C4—42no—
1158C4⋊C4—42no—
1159C4⋊C4—42no—
1160C4⋊C4—42no—
1161C4⋊C4—42no—
1162C4⋊C4—42no—
1163C4⋊C4—42no—
1164C4⋊C4—42no—
1165C4⋊C4—42no—
1166C4⋊C4—42no—
1167C4⋊C4—81no—
1168C4⋊C4—81no—
1169C4⋊C4—81no—
1170C4⋊C4—81no—
1171C4⋊C4—81no—
1172C4⋊C4—81no—
1173C4⋊C4—81no—
1174C4⋊C4—81no—
1175C4⋊C4—81no—
1176C4⋊C4—81no—
1177C4⋊C4—81no—
1178C4⋊C4C22×D412yes—
1179C4⋊C4C22×D412yes—
1180C22⋊C4—22no—
1181C22⋊C4—22no—
1182C22⋊C4—41no—
1183C22⋊C4—41no—
1184C22⋊C4—41no—
1185C22⋊C4—41no—
1186C22⋊C4—41no—
1187C22⋊C4—41no—
1188C22⋊C4—41no—
1189C22⋊C4—41no—
1190C22⋊C4—41no—
1191C22⋊C4—41no—
1192C22⋊C4—42no—
1193C22⋊C4—42no—
1194C22⋊C4—42no—
1195C22⋊C4—42no—
1196C22⋊C4—42no—
1197C22⋊C4—42no—
1198C22⋊C4—42no—
1199C22⋊C4—42no—
1200C22⋊C4—42no—
1201C22⋊C4—42no—
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—81no—
1212C22⋊C4—81no—
1213C22⋊C4—81no—
1214C22⋊C4—81no—
1215C22⋊C4—81no—
1216C22⋊C4—81no—
1217C22⋊C4—81no—
1218C22⋊C4—81no—
1219C22⋊C4—81no—
1220C22⋊C4—81no—
1221C22⋊C4—81no—
1222C22⋊C4—81no—
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—
1236C42—21no—
1237C42—21no—
1238C42—21no—
1239C42—21no—
1240C42—21no—
1241C42—21no—
1242C42—42no—
1243C42—42no—
1244C42—81no—
1245C42—81no—
1246C42—81no—
1247C42—81no—
1248C23—21no—
1249C23—21no—
1250C23—21no—
1251C23—21no—
1252C23—21no—
1253C23—21no—
1254C23—21no—
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—22no—
1270C23—21no—
1271C23—21no—
1272C23—21no—
1273C23—21no—
1274C23—21no—
1275C23—21no—
1276C23—41no—
1277C23—41no—
1278C23—41no—
1279C23—41no—
1280C23—41no—
1281C23—41no—
1282C23—41no—
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—84no—
1297C23—84no—
1298C23—162no—
1299C23—162no—
1300C23—162no—
1301C23—162no—
1302C23—162no—
1303C23D4212yes—
1304C23C23×D411yescharacteristic
1305Q8—22no—
1306Q8—22no—
1307Q8—44no—
1308Q8—41no—
1309Q8—41no—
1310Q8—41no—
1311Q8—41no—
1312Q8—41no—
1313Q8—41no—
1314Q8—41no—
1315Q8—41no—
1316Q8—41no—
1317Q8—41no—
1318D4—22no—
1319D4—22no—
1320D4—44no—
1321D4—44no—
1322D4—44no—
1323D4—41no—
1324D4—41no—
1325D4—41no—
1326D4—41no—
1327D4—41no—
1328D4—41no—
1329D4—41no—
1330D4—41no—
1331D4—41no—
1332D4—41no—
1333D4—82no—
1334D4—84no—
1335D4—82no—
1336D4—82no—
1337D4—84no—
1338D4—84no—
1339D4—162no—
1340D4—162no—
1341D4—162no—
1342D4—162no—
1343D4—162no—
1344D4—162no—
1345D4—162no—
1346D4—162no—
1347C2×C4—21no—
1348C2×C4—21no—
1349C2×C4—22no—
1350C2×C4—22no—
1351C2×C4—22no—
1352C2×C4—22no—
1353C2×C4—21no—
1354C2×C4—21no—
1355C2×C4—21no—
1356C2×C4—21no—
1357C2×C4—21no—
1358C2×C4—21no—
1359C2×C4—21no—
1360C2×C4—21no—
1361C2×C4—21no—
1362C2×C4—21no—
1363C2×C4—21no—
1364C2×C4—21no—
1365C2×C4—21no—
1366C2×C4—21no—
1367C2×C4—21no—
1368C2×C4—22no—
1369C2×C4—22no—
1370C2×C4—21no—
1371C2×C4—21no—
1372C2×C4—22no—
1373C2×C4—21no—
1374C2×C4—21no—
1375C2×C4—21no—
1376C2×C4—21no—
1377C2×C4—21no—
1378C2×C4—21no—
1379C2×C4—21no—
1380C2×C4—21no—
1381C2×C4—21no—
1382C2×C4—21no—
1383C2×C4—41no—
1384C2×C4—41no—
1385C2×C4—41no—
1386C2×C4—41no—
1387C2×C4—41no—
1388C2×C4—41no—
1389C2×C4—41no—
1390C2×C4—41no—
1391C2×C4—41no—
1392C2×C4—41no—
1393C2×C4—41no—
1394C2×C4—41no—
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—84no—
1432C2×C4—84no—
1433C2×C4—84no—
1434C2×C4—162no—
1435C2×C4—162no—
1436C2×C4D4212yes—
1437C2×C4C23×D411yescharacteristic
1438C2×C4C2×H(5,𝔽2)11yescharacteristic
1439C2×C4C2×H(5,𝔽2)11yescharacteristic
1440C2×C4C2×H(5,𝔽2)11yescharacteristic
1441C2×C4#58511yescharacteristic
1442C2×C4#58511yescharacteristic
1443C8—22no—
1444C8—22no—
1445C8—22no—
1446C8—22no—
1447C8—41no—
1448C8—41no—
1449C8—41no—
1450C8—41no—
1451C22—22no—
1452C22—22no—
1453C22—22no—
1454C22—41no—
1455C22—41no—
1456C22—41no—
1457C22—41no—
1458C22—41no—
1459C22—41no—
1460C22—41no—
1461C22—41no—
1462C22—41no—
1463C22—41no—
1464C22—41no—
1465C22—41no—
1466C22—41no—
1467C22—41no—
1468C22—41no—
1469C22—41no—
1470C22—41no—
1471C22—41no—
1472C22—41no—
1473C22—42no—
1474C22—41no—
1475C22—41no—
1476C22—41no—
1477C22—42no—
1478C22—42no—
1479C22—41no—
1480C22—41no—
1481C22—41no—
1482C22—81no—
1483C22—81no—
1484C22—81no—
1485C22—81no—
1486C22—81no—
1487C22—81no—
1488C22—81no—
1489C22—81no—
1490C22—81no—
1491C22—81no—
1492C22—81no—
1493C22—81no—
1494C22—81no—
1495C22—81no—
1496C22—81no—
1497C22—81no—
1498C22—81no—
1499C22—81no—
1500C22—168no—
1501C22C2×D4211yescharacteristic
1502C22#349611yescharacteristic
1503C22#349611yescharacteristic
1504C22#358411yescharacteristic
1505C22#358411yescharacteristic
1506C22#358511yescharacteristic
1507C22#358611yescharacteristic
1508C4—22no—
1509C4—41no—
1510C4—41no—
1511C4—41no—
1512C4—41no—
1513C4—41no—
1514C4—42no—
1515C4—42no—
1516C4—41no—
1517C4—41no—
1518C4—41no—
1519C4—42no—
1520C4—41no—
1521C4—81no—
1522C4—81no—
1523C4—81no—
1524C4—81no—
1525C4—81no—
1526C4—81no—
1527C4—81no—
1528C4—81no—
1529C4—81no—
1530C4—81no—
1531C4#344911yescharacteristic
1532C4#348411yescharacteristic
1533C4#354211yescharacteristic
1534C4#354211yescharacteristic
1535C2—42no—
1536C2—81no—
1537C2—81no—
1538C2—81no—
1539C2—82no—
1540C2—161no—
1541C2—161no—
1542C2#3933211yescharacteristic
1543C2#6107411yescharacteristic
1544C2#6109611yescharacteristic
1545C2#6228511yescharacteristic
1546C2#6231311yescharacteristic
1547C2#6233011yescharacteristic
1548C2#6234811yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ #2388 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#3323C2semidirect
2. C2×#3061C2semidirect
3. #42942C2semidirect
4. #42643C2semidirect
5. #32938C2semidirect
6. #30863C2semidirect
7. #30854C2semidirect
8. #30683C2semidirect
9. #30663C2semidirect
10. #30578C2semidirect
11. #30562C2semidirect
12. #30510C2semidirect
13. #30501C2semidirect
14. #29609C2semidirect
15. #29606C2semidirect
16. #28926C2semidirect
17. #28910C2semidirect
18. #28368C2semidirect
19. #28113C2semidirect
20. #26967C2semidirect
21. #26959C2semidirect
22. #25398C2semidirect
23. #25391C2semidirect
24. #25136C2semidirect
25. #25116C2semidirect
26. #24583C2semidirect
27. #24363C2semidirect
28. #24094C2semidirect
29. #23850C2semidirect
30. #22579C2semidirect
31. #21445C2semidirect
33. C22×#131C22semidirect
37. C2×#537C22semidirect
42. C2×#483C22semidirect
50. C2×#468C22semidirect
51. C2×#468C22semidirect
52. C2×#467C22semidirect
53. C2×#467C22semidirect
58. C2×#464C22semidirect
59. C2×#462C22semidirect
69. C22×#107C22semidirect
71. C2×#417C22semidirect
87. #2616C22semidirect
96. #2490C22semidirect
97. #2489C22semidirect
99. #2432C22semidirect
100. #2429C22semidirect
103. #2426C22semidirect
112. #2345C22semidirect
114. #2097C22semidirect
115. #2092C22semidirect
116. #2085C22semidirect
117. #2085C22semidirect
120. #2067C22semidirect
121. #2066C22semidirect
122. #2059C22semidirect
123. #2059C22semidirect
129. #2035C22semidirect
130. #2035C22semidirect
131. #2035C22semidirect
132. #2035C22semidirect
136. #2034C22semidirect
137. #2034C22semidirect
145. #2001C22semidirect
146. #2001C22semidirect
156. #1960C22semidirect
157. #1958C22semidirect
158. #1949C22semidirect
159. #1949C22semidirect
162. #1934C22semidirect
163. #1933C22semidirect
171. #1894C22semidirect
174. #1892C22semidirect
175. #1892C22semidirect
176. #1880C22semidirect
178. #1878C22semidirect
183. #1865C22semidirect
184. #1863C22semidirect
185. #1863C22semidirect
186. #1863C22semidirect
189. #1851C22semidirect
190. #1850C22semidirect
191. #1850C22semidirect
192. #1824C22semidirect
193. #1823C22semidirect
194. #1809C22semidirect
195. #1809C22semidirect
196. #1808C22semidirect
198. #1788C22semidirect
199. #1780C22semidirect
200. #1763C22semidirect
201. C4×#103C22semidirect
202. #1753C22semidirect
203. #1753C22semidirect
204. C8×C22⋊C4C22semidirect
336. #417D4semidirect

Maximal subgroups

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

subgroupindex
C2×#33232
C2×#30612
#429422
#426432
#329382
#308632
#308542
#306832
#306632
#305782
#305622
#305102
#305012
#296092
#296062
#289262
#289102
#283682
#281132
#269672
#269592
#253982
#253912
#251362
#251162
#245832
#243632
#240942
#238502
#225792
#214452