Finite Group Databasebeta

← #6596907

Subgroups — #6596907

Order 512.

2224 conjugacy classes of subgroups.

The subgroup lattice has 1488 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3302C211yesmaximal, characteristic, complemented
2C2×#3267C211yesmaximal, characteristic
3#38094C211yesmaximal, characteristic, complemented
4#34289C211yesmaximal, characteristic, complemented
5#33036C211yesmaximal, characteristic, complemented
6#32916C211yesmaximal, characteristic, complemented
7#32910C211yesmaximal, characteristic, complemented
8#28628C211yesmaximal, characteristic, complemented
9#28588C211yesmaximal, characteristic, complemented
10#28576C211yesmaximal, characteristic, complemented
11#28168C211yesmaximal, characteristic, complemented
12#28130C211yesmaximal, characteristic, complemented
13#28122C211yesmaximal, characteristic, complemented
14#25379C211yesmaximal, characteristic, complemented
15#25319C211yesmaximal, characteristic, complemented
16#25226C211yesmaximal, characteristic, complemented
17#25213C211yesmaximal, characteristic, complemented
18#25084C211yesmaximal, characteristic, complemented
19#25079C211yesmaximal, characteristic, complemented
20#24830C211yesmaximal, characteristic, complemented
21#24737C211yesmaximal, characteristic, complemented
22#24537C211yesmaximal, characteristic, complemented
23#24536C211yesmaximal, characteristic, complemented
24#24373C211yesmaximal, characteristic, complemented
25#24365C211yesmaximal, characteristic, complemented
26#22697C211yesmaximal, characteristic, complemented
27#22494C211yesmaximal, characteristic, complemented
28#22414C211yesmaximal, characteristic, complemented
29#21510C211yesmaximal, characteristic, complemented
30#20932C211yesmaximal, characteristic, complemented
31#20924C211yesmaximal, characteristic, complemented
32C22×AGL(1,ℤ/8)C2211yescharacteristic
33C22×#135C2211yescharacteristic
34C2×#556C2211yescharacteristic
35C2×#547C2211yescharacteristic
36C2×#546C2211yescharacteristic
37C2×#520C2211yescharacteristic
38C2×C4×#41C2211yescharacteristic, complemented
39#3302—28no—
40#3267—28no—
41C2×#497C2211yescharacteristic
42C2×#487C2211yescharacteristic, complemented
43C2×#485C2211yescharacteristic
44C2×#485C2211yescharacteristic, complemented
45C2×#474C2211yescharacteristic, complemented
46C2×#470C2211yescharacteristic
47C2×#467C2211yescharacteristic
48C2×#467C2211yescharacteristic, complemented
49C2×#465C2211yescharacteristic
50C2×#464C2211yescharacteristic
51C2×#462C2211yescharacteristic, complemented
52C2×#462C2211yescharacteristic, complemented
53C2×#463C2211yescharacteristic
54C2×#463C2211yescharacteristic
55C2×#463C2211yescharacteristic
56C2×#461C2211yescharacteristic
57C2×#461C2211yescharacteristic, complemented
58C2×#452C2211yescharacteristic
59C2×#452C2211yescharacteristic
60C2×#452C2211yescharacteristic
61C2×#452C2211yescharacteristic, complemented
62C2×#449C2211yescharacteristic
63C2×#450C2211yescharacteristic
64C2×#442C2211yescharacteristic
65C2×C4×SD16C2211yescharacteristic, complemented
66C2×#435C2211yescharacteristic
67C2×C8×D4C2211yescharacteristic
68C2×#416C2211yescharacteristic
69C2×#416C2211yescharacteristic
70C2×#416C2211yescharacteristic, complemented
71C22×#102C2211yescharacteristic
72#2850C2211yescharacteristic
73#2691—21no—
74#2691—21no—
75#2684—21no—
76#2684—21no—
77#2640C2211yescharacteristic
78#2621C2211yescharacteristic
79#2563C2211yescharacteristic
80#2545C2211yescharacteristic
81#2500C2211yescharacteristic
82#2499C2211yescharacteristic
83#2480—21no—
84#2480—21no—
85#2458—21no—
86#2458—21no—
87#2435C2211yescharacteristic
88#2432C2211yescharacteristic
89#2365C2211yescharacteristic, complemented
90#2364—21no—
91#2362C2211yescharacteristic, complemented
92#2360C2211yescharacteristic
93#2359—21no—
94#2359—21no—
95#2352C2211yescharacteristic
96#2349C2211yescharacteristic, complemented
97#2344—21no—
98#2339C2211yescharacteristic
99#2339C2211yescharacteristic, complemented
100#2327C2211yescharacteristic, complemented
101#2326C2211yescharacteristic
102#2325—21no—
103#2323C2211yescharacteristic
104#2322—21no—
105#2309C2211yescharacteristic
106C4×C22⋊Q8C2211yescharacteristic, complemented
107C4×#123—21no—
108#2297C2211yescharacteristic
109#2290C2211yescharacteristic
110C2×#387—21no—
111#2275C2211yescharacteristic, complemented
112#2085C2211yescharacteristic, complemented
113#2085C2211yescharacteristic, complemented
114#2074C2211yescharacteristic, complemented
115#2074C2211yescharacteristic, complemented
116#2072C2211yescharacteristic, complemented
117#2072C2211yescharacteristic, complemented
118#2067C2211yescharacteristic
119#2067C2211yescharacteristic
120#2066C2211yescharacteristic, complemented
121#2065C2211yescharacteristic
122#2056C2211yescharacteristic, complemented
123#2056C2211yescharacteristic, complemented
124#2056C2211yescharacteristic, complemented
125#2055C2211yescharacteristic
126#2055C2211yescharacteristic
127#2055C2211yescharacteristic
128#2055C2211yescharacteristic
129#2055C2211yescharacteristic
130#2043C2211yescharacteristic, complemented
131#2042C2211yescharacteristic
132#2016C2211yescharacteristic, complemented
133#2015C2211yescharacteristic
134#2015C2211yescharacteristic
135#2015C2211yescharacteristic
136#1993C2211yescharacteristic, complemented
137#1987C2211yescharacteristic, complemented
138#1983C2211yescharacteristic
139#1983C2211yescharacteristic
140#1958C2211yescharacteristic
141#1948C2211yescharacteristic, complemented
142#1940C2211yescharacteristic, complemented
143#1939C2211yescharacteristic, complemented
144#1928C2211yescharacteristic, complemented
145#1928C2211yescharacteristic, complemented
146#1927C2211yescharacteristic, complemented
147#1926C2211yescharacteristic
148#1925C2211yescharacteristic
149#1925C2211yescharacteristic
150#1894C2211yescharacteristic
151#1893C2211yescharacteristic
152#1892C2211yescharacteristic
153#1892C2211yescharacteristic, complemented
154#1880C2211yescharacteristic
155#1880C2211yescharacteristic
156#1880C2211yescharacteristic
157#1880C2211yescharacteristic
158#1880C2211yescharacteristic
159#1880C2211yescharacteristic
160#1880C2211yescharacteristic
161#1879C2211yescharacteristic
162#1879C2211yescharacteristic
163#1879C2211yescharacteristic
164#1879C2211yescharacteristic
165#1879C2211yescharacteristic
166#1879C2211yescharacteristic
167#1878C2211yescharacteristic, complemented
168#1878C2211yescharacteristic, complemented
169#1878C2211yescharacteristic, complemented
170#1878C2211yescharacteristic, complemented
171#1878C2211yescharacteristic, complemented
172#1877C2211yescharacteristic, complemented
173#1877C2211yescharacteristic, complemented
174#1877C2211yescharacteristic, complemented
175#1877C2211yescharacteristic, complemented
176#1875C2211yescharacteristic
177#1873C2211yescharacteristic, complemented
178#1872C2211yescharacteristic
179#1872C2211yescharacteristic
180#1851C2211yescharacteristic
181#1850C2211yescharacteristic
182#1850C2211yescharacteristic, complemented
183#1850C2211yescharacteristic, complemented
184#1832C2211yescharacteristic, complemented
185#1825C2211yescharacteristic
186#1825C2211yescharacteristic, complemented
187#1805C2211yescharacteristic, complemented
188#1805C2211yescharacteristic, complemented
189#1805C2211yescharacteristic, complemented
190#1804C2211yescharacteristic
191#1804C2211yescharacteristic, complemented
192#1804C2211yescharacteristic, complemented
193#1802C2211yescharacteristic, complemented
194#1798C2211yescharacteristic
195#1797C2211yescharacteristic, complemented
196#1788C2211yescharacteristic
197#1786C2211yescharacteristic
198#1768C2211yescharacteristic, complemented
199#1763C2211yescharacteristic, complemented
200C4×#102C2211yescharacteristic
201#1736C2211yescharacteristic
202#1735C2211yescharacteristic, complemented
203#1729C2211yescharacteristic
204C2×#336C2211yescharacteristic, complemented
205C22×#41C2311yescharacteristic
206C22×#41C2311yescharacteristic
207C22×#41C2311yescharacteristic
208C23×D4C2311yescharacteristic
209C2×AGL(1,ℤ/8)—24no—
210C2×AGL(1,ℤ/8)—24no—
211C2×AGL(1,ℤ/8)—42no—
212C2×#135—24no—
213C2×#135—24no—
214C2×#135—42no—
215C22×Q16C2311yescharacteristic
216C22×Q16C2311yescharacteristic
217C22×Q16C2311yescharacteristic
218C22×Q16C2311yescharacteristic
219C22×SD16C2311yescharacteristic
220C22×SD16C2311yescharacteristic
221C22×SD16C2311yescharacteristic
222C22×SD16C2311yescharacteristic
223C22×SD16C2311yescharacteristic
224C22×SD16C2311yescharacteristic
225C22×D8C2311yescharacteristic
226C22×D8C2311yescharacteristic
227C22×M16C2311yescharacteristic
228C23×C8C2311yescharacteristic
229C23×C8C2311yescharacteristic
230C23×C8C2311yescharacteristic
231#556—24no—
232#556—24no—
233#547—24no—
234#547D418yes—
235#546—24no—
236#546—24no—
237C2×C4⋊Q8C2311yescharacteristic
238C2×C4⋊Q8C2311yescharacteristic
239C2×C4⋊Q8C2311yescharacteristic
240C2×#126—21no—
241C2×#126—21no—
242C2×#124—21no—
243C2×#124C2311yescharacteristic
244C2×#124C2311yescharacteristic
245C2×#124C2311yescharacteristic
246C2×#123—21no—
247C2×#123—21no—
248C2×#123—21no—
249C2×C22⋊Q8C2311yescharacteristic
250C2×C22⋊Q8C2311yescharacteristic
251C2×C22⋊Q8C2311yescharacteristic
252C2×C22⋊Q8C2311yescharacteristic
253C2×C22⋊Q8C2311yescharacteristic
254C2×#121—21no—
255C2×#121—21no—
256C2×#121C2311yescharacteristic
257C2×#120—21no—
258#520—42no—
259#520—42no—
260C4×#41—42no—
261C4×#41—42no—
262C2×C4×Q8—21no—
263C2×C4×Q8C2311yescharacteristic
264C2×C4×Q8C2311yescharacteristic
265C2×C4×Q8C2311yescharacteristic
266C2×C4×Q8C2311yescharacteristic
267C2×C4×Q8C2311yescharacteristic
268C2×C4×D4—21no—
269C2×C4×D4—21no—
270C2×C4×D4—21no—
271C2×C4×D4—21no—
272C2×C4×D4C2311yescharacteristic
273C2×C4×D4C2311yescharacteristic
274C2×C4×D4C2311yescharacteristic
275C2×C4×D4C2311yescharacteristic
276C2×C4×D4C2311yescharacteristic
277C2×C4×D4C2311yescharacteristic
278C2×C4×D4C2311yescharacteristic
279C2×#117—21no—
280C2×#117—21no—
281C2×#117C2311yescharacteristic
282C2×#117C2311yescharacteristic
283C2×#117C2311yescharacteristic
284C2×#117C2311yescharacteristic
285C22×C4⋊C4—21no—
286C22×C4⋊C4—21no—
287C22×C4⋊C4C2311yescharacteristic
288C22×C22⋊C4—21no—
289C22×C42—21no—
290C22×C42C2311yescharacteristic
291#497—24no—
292#487—24no—
293#485—24no—
294#485—24no—
295#474—24no—
296#470—24no—
297#467—24no—
298#467—24no—
299#465—24no—
300#464—42no—
301#463—24no—
302#463—24no—
303#463—42no—
304#462—24no—
305#462—42no—
306#461—24no—
307#461—42no—
308#452—24no—
309#452—24no—
310#452—24no—
311#452—24no—
312#450—24no—
313#449—24no—
314#442—24no—
315C4×SD16—24no—
316#435—24no—
317C8×D4—24no—
318C2×#107C2311yescharacteristic
319C2×#107C2311yescharacteristic
320C2×#106C2311yescharacteristic
321C2×#106C2311yescharacteristic
322C2×C4⋊C8C2311yescharacteristic
323C2×C4⋊C8C2311yescharacteristic
324C2×C4⋊C8C2311yescharacteristic
325C2×C4⋊C8C2311yescharacteristic
326C2×C4⋊C8C2311yescharacteristic
327C2×C4⋊C8C2311yescharacteristic
328C2×C4⋊C8C2311yescharacteristic
329C2×C4⋊C8C2311yescharacteristic
330#416—24no—
331#416—24no—
332#416—42no—
333C2×#103C2311yescharacteristic
334C2×#103C2311yescharacteristic
335C2×#103C2311yescharacteristic
336C2×#103C2311yescharacteristic
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×#102—42no—
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×C22⋊C8C2311yescharacteristic
367C2×C22⋊C8C2311yescharacteristic
368C2×C22⋊C8C2311yescharacteristic
369C2×C22⋊C8C2311yescharacteristic
370C2×#97C2311yescharacteristic
371C2×C4×C8C2311yescharacteristic
372#398—21no—
373#398—21no—
374#397—21no—
375#397—21no—
376#397—21no—
377#397—21no—
378#397—21no—
379#397—21no—
380#396—21no—
381#396—21no—
382#394—21no—
383#394—21no—
384#394—21no—
385#394—21no—
386#394—21no—
387#394—21no—
388#393—21no—
389#393—21no—
390#393—21no—
391#393—21no—
392#391C2311yescharacteristic
393#391C2311yescharacteristic
394#391C2311yescharacteristic
395#391C2311yescharacteristic
396#391C2311yescharacteristic
397#391C2311yescharacteristic
398#391C2311yescharacteristic
399#391C2311yescharacteristic
400#390—21no—
401#390—21no—
402#390C2311yescharacteristic
403#390C2311yescharacteristic
404#390C2311yescharacteristic
405#390C2311yescharacteristic
406#390C2311yescharacteristic
407#390C2311yescharacteristic
408#389—21no—
409#389—21no—
410#389—21no—
411#389C2311yescharacteristic
412#389C2311yescharacteristic
413#388—21no—
414#388—21no—
415#388—21no—
416#388—21no—
417#388—21no—
418#388—21no—
419#388—21no—
420#388—21no—
421#388—21no—
422#388—21no—
423#388—21no—
424#388—21no—
425#388—21no—
426#388D411yescharacteristic
427#388D411yescharacteristic
428#387—21no—
429#387—21no—
430#387—21no—
431#387—21no—
432#387—21no—
433#387—21no—
434#387—21no—
435#387—21no—
436#387—21no—
437#387—21no—
438#387—21no—
439#387—21no—
440#387—21no—
441#387D411yescharacteristic
442#387D411yescharacteristic
443#386—21no—
444#386—21no—
445#386—21no—
446#386—21no—
447#386—21no—
448#386—21no—
449#386—21no—
450#386—21no—
451#386—21no—
452#386D411yescharacteristic
453#386D411yescharacteristic
454#385—21no—
455#385—21no—
456#385—21no—
457#385—21no—
458#385—21no—
459#385—21no—
460#385—21no—
461#385—21no—
462#385D411yescharacteristic
463#385D411yescharacteristic
464#384C2311yescharacteristic
465#382C2311yescharacteristic
466#382C2311yescharacteristic
467#382C2311yescharacteristic
468#381—21no—
469#381—21no—
470#380—21no—
471#380—21no—
472#380—21no—
473#380C2311yescharacteristic
474#380C2311yescharacteristic
475#379—21no—
476#379—21no—
477#379—21no—
478#379—21no—
479C4×C4⋊C4—21no—
480C4×C4⋊C4—21no—
481C4×C4⋊C4—21no—
482C4×C4⋊C4C2311yescharacteristic
483C4×C4⋊C4C2311yescharacteristic
484C4×C4⋊C4C2311yescharacteristic
485C4×C4⋊C4C2311yescharacteristic
486C4×C22⋊C4—21no—
487C4×C22⋊C4—21no—
488C4×C22⋊C4—21no—
489C4×C22⋊C4—21no—
490C4×C22⋊C4—21no—
491C4×C22⋊C4—21no—
492C4×C22⋊C4—21no—
493C4×C22⋊C4—21no—
494C4×C22⋊C4C2311yescharacteristic
495C4×C22⋊C4C2311yescharacteristic
496#376C2311yescharacteristic
497C2×#95—21no—
498C2×#95—21no—
499C2×#95—21no—
500C2×#95—21no—
501#340C2311yescharacteristic
502#340C2311yescharacteristic
503#340C2311yescharacteristic
504#340C2311yescharacteristic
505#340C2311yescharacteristic
506#340C2311yescharacteristic
507#340C2311yescharacteristic
508#340C2311yescharacteristic
509#340C2311yescharacteristic
510#340C2311yescharacteristic
511#340C2311yescharacteristic
512#340C2311yescharacteristic
513#340C2311yescharacteristic
514#340C2311yescharacteristic
515#340C2311yescharacteristic
516#340C2311yescharacteristic
517#336C2311yescharacteristic
518#336C2311yescharacteristic
519#336C2311yescharacteristic
520#336C2311yescharacteristic
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—22no—
534C2×#41—22no—
535C2×#41—22no—
536C2×#41—22no—
537C2×#41—41no—
538C2×#41—41no—
539C2×#41—41no—
540C2×#41—41no—
541C2×#41—41no—
542C2×#41—41no—
543C2×#41—41no—
544C2×#41C2×D414yes—
545C2×#41C2×D414yes—
546C22×Q8—21no—
547C22×Q8C2411yescharacteristic
548C22×Q8C2411yescharacteristic
549C22×Q8C2411yescharacteristic
550C22×Q8C2411yescharacteristic
551C22×D4—21no—
552C22×D4—21no—
553C22×D4—22no—
554C22×D4—21no—
555C22×D4—21no—
556C22×D4—22no—
557C22×D4—21no—
558C22×D4—22no—
559C22×D4—41no—
560C22×D4—41no—
561C22×D4—41no—
562C22×D4C2×D411yescharacteristic
563C22×D4C2411yescharacteristic
564C22×D4C2411yescharacteristic
565C22×D4C2411yescharacteristic
566C23×C4—21no—
567C23×C4—21no—
568C23×C4—21no—
569C23×C4—21no—
570C23×C4—21no—
571C23×C4—21no—
572C23×C4—21no—
573C23×C4—21no—
574C23×C4—21no—
575C23×C4—21no—
576C23×C4C2×D411yescharacteristic
577C23×C4C2×D411yescharacteristic
578C23×C4C2411yescharacteristic
579C23×C4C2411yescharacteristic
580AGL(1,ℤ/8)—416no—
581#135—416no—
582C2×Q16—22no—
583C2×Q16—22no—
584C2×Q16—22no—
585C2×Q16—22no—
586C2×Q16—22no—
587C2×Q16—41no—
588C2×Q16—41no—
589C2×Q16—41no—
590C2×Q16—41no—
591C2×Q16—41no—
592C2×Q16—41no—
593C2×Q16—41no—
594C2×SD16—22no—
595C2×SD16—22no—
596C2×SD16—22no—
597C2×SD16—22no—
598C2×SD16—22no—
599C2×SD16—22no—
600C2×SD16—22no—
601C2×SD16—22no—
602C2×SD16—22no—
603C2×SD16—22no—
604C2×SD16—22no—
605C2×SD16—22no—
606C2×SD16—22no—
607C2×SD16—41no—
608C2×SD16—41no—
609C2×SD16—41no—
610C2×SD16—41no—
611C2×SD16—41no—
612C2×D8—22no—
613C2×D8—22no—
614C2×D8—22no—
615C2×D8—22no—
616C2×D8—22no—
617C2×D8#4114yes—
618C2×M16—22no—
619C2×M16—22no—
620C2×M16—41no—
621C22×C8—22no—
622C22×C8—22no—
623C22×C8—22no—
624C22×C8—22no—
625C22×C8—41no—
626C22×C8—41no—
627C22×C8—41no—
628C22×C8—41no—
629C22×C8—41no—
630C22×C8C2411yescharacteristic
631C22×C8C2411yescharacteristic
632C22×C8C2411yescharacteristic
633C22×C8C2411yescharacteristic
634C22×C8C2411yescharacteristic
635C22×C8C2411yescharacteristic
636C22×C8C2411yescharacteristic
637C22×C8C2411yescharacteristic
638C4⋊Q8—22no—
639C4⋊Q8—22no—
640C4⋊Q8—22no—
641C4⋊Q8—41no—
642C4⋊Q8—41no—
643C4⋊Q8C2×D414yes—
644#126—44no—
645#126—44no—
646#124—22no—
647#124—22no—
648#124—22no—
649#124—41no—
650#124—41no—
651#124—41no—
652#124—44no—
653#123—28no—
654#123—28no—
655#123—44no—
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⋊Q8C2×D414yes—
665C22⋊Q8C2×D414yes—
666#121—28no—
667#121—22no—
668#121—22no—
669#121—44no—
670#120—44no—
671C4×Q8—22no—
672C4×Q8—22no—
673C4×Q8—22no—
674C4×Q8—22no—
675C4×Q8—41no—
676C4×Q8—41no—
677C4×Q8—41no—
678C4×Q8—41no—
679C4×Q8—41no—
680C4×Q8—41no—
681C4×Q8—44no—
682C4×D4—22no—
683C4×D4—22no—
684C4×D4—22no—
685C4×D4—22no—
686C4×D4—22no—
687C4×D4—22no—
688C4×D4—22no—
689C4×D4—22no—
690C4×D4—41no—
691C4×D4—41no—
692C4×D4—41no—
693C4×D4—44no—
694C4×D4—44no—
695C4×D4—44no—
696C4×D4—44no—
697C4×D4C2×D414yes—
698C4×D4C2×D414yes—
699C4×D4#4114yes—
700#117—22no—
701#117—22no—
702#117—22no—
703#117—22no—
704#117—22no—
705#117—41no—
706#117—41no—
707#117—44no—
708#117—44no—
709#117—41no—
710C2×C4⋊C4—21no—
711C2×C4⋊C4—21no—
712C2×C4⋊C4—21no—
713C2×C4⋊C4—21no—
714C2×C4⋊C4—28no—
715C2×C4⋊C4—22no—
716C2×C4⋊C4—21no—
717C2×C4⋊C4—21no—
718C2×C4⋊C4—21no—
719C2×C4⋊C4—21no—
720C2×C4⋊C4—21no—
721C2×C4⋊C4—21no—
722C2×C4⋊C4—21no—
723C2×C4⋊C4—21no—
724C2×C4⋊C4—21no—
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—41no—
733C2×C4⋊C4—44no—
734C2×C4⋊C4C2×D411yescharacteristic
735C2×C4⋊C4C2×D411yescharacteristic
736C2×C4⋊C4C2×D411yescharacteristic
737C2×C4⋊C4C2×D411yescharacteristic
738C2×C4⋊C4C2×D411yescharacteristic
739C2×C4⋊C4C2411yescharacteristic
740C2×C4⋊C4C2411yescharacteristic
741C2×C4⋊C4C2411yescharacteristic
742C2×C4⋊C4C2411yescharacteristic
743C2×C4⋊C4C2411yescharacteristic
744C2×C4⋊C4C2411yescharacteristic
745C2×C4⋊C4C2411yescharacteristic
746C2×C4⋊C4C2411yescharacteristic
747C2×C4⋊C4C2411yescharacteristic
748C2×C22⋊C4—21no—
749C2×C22⋊C4—21no—
750C2×C22⋊C4—21no—
751C2×C22⋊C4—21no—
752C2×C22⋊C4—21no—
753C2×C22⋊C4—21no—
754C2×C22⋊C4—21no—
755C2×C22⋊C4—21no—
756C2×C22⋊C4—21no—
757C2×C22⋊C4—21no—
758C2×C22⋊C4—21no—
759C2×C22⋊C4—21no—
760C2×C22⋊C4—21no—
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—44no—
784C2×C22⋊C4C2×D411yescharacteristic
785C2×C22⋊C4C2×D411yescharacteristic
786C2×C22⋊C4C2×D411yescharacteristic
787C2×C22⋊C4C2×D411yescharacteristic
788C2×C22⋊C4C2×D411yescharacteristic
789C2×C22⋊C4C2×D411yescharacteristic
790C2×C22⋊C4C2×D411yescharacteristic
791C2×C22⋊C4C2×D411yescharacteristic
792C2×C42—21no—
793C2×C42—21no—
794C2×C42—21no—
795C2×C42—21no—
796C2×C42—21no—
797C2×C42—21no—
798C2×C42—21no—
799C2×C42—21no—
800C2×C42—21no—
801C2×C42—21no—
802C2×C42—21no—
803C2×C42—41no—
804C2×C42—41no—
805C2×C42—44no—
806C2×C42C2×D411yescharacteristic
807C2×C42C2×D411yescharacteristic
808C2×C42C2411yescharacteristic
809C2×C42C2411yescharacteristic
810C2×C42C2411yescharacteristic
811C2×C42C2411yescharacteristic
812C2×C42C2411yescharacteristic
813#107—22no—
814#107—22no—
815#106—22no—
816#106—22no—
817C4⋊C8—22no—
818C4⋊C8—22no—
819C4⋊C8—22no—
820C4⋊C8—41no—
821C4⋊C8—41no—
822C4⋊C8—41no—
823C4⋊C8—41no—
824C4⋊C8—41no—
825#103—22no—
826#103—22no—
827#103—22no—
828#103—22no—
829#103—22no—
830#103—22no—
831#103—22no—
832#103—22no—
833#103—22no—
834#103—22no—
835#103—22no—
836#103—22no—
837#103—22no—
838#103—41no—
839#103—41no—
840#103—41no—
841#103—41no—
842#103—41no—
843#102—22no—
844#102—22no—
845#102—22no—
846#102—22no—
847#102—22no—
848#102—22no—
849#102—22no—
850#102—22no—
851#102—22no—
852#102—41no—
853#102—41no—
854#102—41no—
855#102—41no—
856#102—41no—
857C22⋊C8—22no—
858C22⋊C8—22no—
859C22⋊C8—22no—
860C22⋊C8—22no—
861#97—22no—
862C4×C8—22no—
863#95—21no—
864#95—21no—
865#95—21no—
866#95—21no—
867#95—21no—
868#95—21no—
869#95—21no—
870#95—21no—
871#95—21no—
872#95—21no—
873#95—21no—
874#95—21no—
875#95—21no—
876#95—21no—
877#95—21no—
878#95—21no—
879#95—21no—
880#95—21no—
881#95—21no—
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#95C2×D411yescharacteristic
893#95C2×D411yescharacteristic
894#95C2×D411yescharacteristic
895#95C2×D411yescharacteristic
896#95C2×D411yescharacteristic
897#95C2×D411yescharacteristic
898#95C2×D411yescharacteristic
899#95C2×D411yescharacteristic
900#95C2×D411yescharacteristic
901#95C2×D411yescharacteristic
902C24—21no—
903C24—21no—
904C24—21no—
905C24—42no—
906C24—42no—
907C24—81no—
908C24—81no—
909C24—81no—
910C24—81no—
911C24—81no—
912C24C22×D411yescharacteristic
913C24C22×D411yescharacteristic
914#41—28no—
915#41—28no—
916#41—44no—
917#41—44no—
918#41—44no—
919#41—44no—
920#41—44no—
921#41—44no—
922#41—44no—
923#41—44no—
924#41—82no—
925#41—82no—
926C2×Q8—21no—
927C2×Q8—21no—
928C2×Q8—21no—
929C2×Q8—21no—
930C2×Q8—21no—
931C2×Q8—21no—
932C2×Q8—21no—
933C2×Q8—21no—
934C2×Q8—21no—
935C2×Q8—21no—
936C2×Q8—21no—
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—42no—
949C2×Q8—81no—
950C2×Q8—81no—
951C2×Q8C22×D412yes—
952C2×Q8C22×D412yes—
953C2×D4—24no—
954C2×D4—24no—
955C2×D4—21no—
956C2×D4—21no—
957C2×D4—21no—
958C2×D4—21no—
959C2×D4—21no—
960C2×D4—21no—
961C2×D4—21no—
962C2×D4—21no—
963C2×D4—21no—
964C2×D4—21no—
965C2×D4—21no—
966C2×D4—21no—
967C2×D4—21no—
968C2×D4—21no—
969C2×D4—44no—
970C2×D4—44no—
971C2×D4—41no—
972C2×D4—41no—
973C2×D4—42no—
974C2×D4—42no—
975C2×D4—42no—
976C2×D4—42no—
977C2×D4—42no—
978C2×D4—42no—
979C2×D4—42no—
980C2×D4—42no—
981C2×D4—42no—
982C2×D4—82no—
983C2×D4—82no—
984C2×D4—81no—
985C2×D4—81no—
986C2×D4—81no—
987C2×D4—81no—
988C2×D4#12114yes—
989C2×D4C22×D412yes—
990C2×D4C2×#4112yes—
991C2×D4C2×#4112yes—
992C2×D4H(5,𝔽2)12yes—
993C22×C4—21no—
994C22×C4—21no—
995C22×C4—21no—
996C22×C4—21no—
997C22×C4—21no—
998C22×C4—21no—
999C22×C4—21no—
1000C22×C4—21no—
1001C22×C4—21no—
1002C22×C4—21no—
1003C22×C4—21no—
1004C22×C4—21no—
1005C22×C4—24no—
1006C22×C4—24no—
1007C22×C4—24no—
1008C22×C4—24no—
1009C22×C4—21no—
1010C22×C4—21no—
1011C22×C4—21no—
1012C22×C4—21no—
1013C22×C4—21no—
1014C22×C4—21no—
1015C22×C4—21no—
1016C22×C4—21no—
1017C22×C4—21no—
1018C22×C4—41no—
1019C22×C4—41no—
1020C22×C4—41no—
1021C22×C4—41no—
1022C22×C4—41no—
1023C22×C4—41no—
1024C22×C4—42no—
1025C22×C4—42no—
1026C22×C4—42no—
1027C22×C4—42no—
1028C22×C4—42no—
1029C22×C4—42no—
1030C22×C4—42no—
1031C22×C4—42no—
1032C22×C4—42no—
1033C22×C4—42no—
1034C22×C4—42no—
1035C22×C4—42no—
1036C22×C4—81no—
1037C22×C4—81no—
1038C22×C4—81no—
1039C22×C4—81no—
1040C22×C4—81no—
1041C22×C4—81no—
1042C22×C4—81no—
1043C22×C4—81no—
1044C22×C4—81no—
1045C22×C4—81no—
1046C22×C4—81no—
1047C22×C4—81no—
1048C22×C4—81no—
1049C22×C4—81no—
1050C22×C4C22×D411yescharacteristic
1051C22×C4C22×D411yescharacteristic
1052C22×C4C22×D411yescharacteristic
1053C22×C4C22×D411yescharacteristic
1054C22×C4C22×D411yescharacteristic
1055C22×C4C22×D411yescharacteristic
1056C22×C4C22×D411yescharacteristic
1057C22×C4C22×D411yescharacteristic
1058C22×C4C22×D411yescharacteristic
1059C22×C4C22×D411yescharacteristic
1060C22×C4C22×D411yescharacteristic
1061C22×C4C22×D411yescharacteristic
1062C22×C4C22×D412yes—
1063C22×C4C22×D412yes—
1064C22×C4C2×#4112yes—
1065C22×C4C2×#4112yes—
1066C22×C4C2511yescharacteristic
1067Q16—44no—
1068Q16—82no—
1069Q16—82no—
1070Q16—82no—
1071SD16—44no—
1072SD16—44no—
1073SD16—44no—
1074SD16—44no—
1075SD16—44no—
1076SD16—82no—
1077D8—28no—
1078D8—44no—
1079M16—44no—
1080C2×C8—21no—
1081C2×C8—21no—
1082C2×C8—21no—
1083C2×C8—21no—
1084C2×C8—21no—
1085C2×C8—21no—
1086C2×C8—21no—
1087C2×C8—21no—
1088C2×C8—21no—
1089C2×C8—21no—
1090C2×C8—21no—
1091C2×C8—21no—
1092C2×C8—21no—
1093C2×C8—21no—
1094C2×C8—21no—
1095C2×C8—21no—
1096C2×C8—21no—
1097C2×C8—21no—
1098C2×C8—21no—
1099C2×C8—21no—
1100C2×C8—21no—
1101C2×C8—21no—
1102C2×C8—21no—
1103C2×C8—44no—
1104C2×C8—82no—
1105C2×C8—82no—
1106C2×C8C2×#4112yes—
1107C4⋊C4—24no—
1108C4⋊C4—24no—
1109C4⋊C4—24no—
1110C4⋊C4—24no—
1111C4⋊C4—21no—
1112C4⋊C4—21no—
1113C4⋊C4—21no—
1114C4⋊C4—21no—
1115C4⋊C4—21no—
1116C4⋊C4—21no—
1117C4⋊C4—21no—
1118C4⋊C4—21no—
1119C4⋊C4—21no—
1120C4⋊C4—21no—
1121C4⋊C4—21no—
1122C4⋊C4—21no—
1123C4⋊C4—21no—
1124C4⋊C4—21no—
1125C4⋊C4—21no—
1126C4⋊C4—21no—
1127C4⋊C4—41no—
1128C4⋊C4—41no—
1129C4⋊C4—41no—
1130C4⋊C4—41no—
1131C4⋊C4—42no—
1132C4⋊C4—42no—
1133C4⋊C4—42no—
1134C4⋊C4—42no—
1135C4⋊C4—42no—
1136C4⋊C4—42no—
1137C4⋊C4—42no—
1138C4⋊C4—42no—
1139C4⋊C4—42no—
1140C4⋊C4—42no—
1141C4⋊C4—81no—
1142C4⋊C4—81no—
1143C4⋊C4—81no—
1144C4⋊C4—81no—
1145C4⋊C4—81no—
1146C4⋊C4—81no—
1147C4⋊C4#12114yes—
1148C4⋊C4C22×D412yes—
1149C4⋊C4H(5,𝔽2)12yes—
1150C22⋊C4—24no—
1151C22⋊C4—24no—
1152C22⋊C4—24no—
1153C22⋊C4—24no—
1154C22⋊C4—41no—
1155C22⋊C4—41no—
1156C22⋊C4—41no—
1157C22⋊C4—41no—
1158C22⋊C4—41no—
1159C22⋊C4—41no—
1160C22⋊C4—42no—
1161C22⋊C4—42no—
1162C22⋊C4—42no—
1163C22⋊C4—42no—
1164C22⋊C4—42no—
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—81no—
1176C22⋊C4—81no—
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⋊C4—81no—
1190C22⋊C4—81no—
1191C22⋊C4#12114yes—
1192C22⋊C4#12114yes—
1193C42—21no—
1194C42—21no—
1195C42—21no—
1196C42—21no—
1197C42—21no—
1198C42—21no—
1199C42—21no—
1200C42—21no—
1201C42—41no—
1202C42—41no—
1203C42—42no—
1204C42—42no—
1205C42—42no—
1206C42—42no—
1207C42—42no—
1208C42—42no—
1209C42—42no—
1210C42—42no—
1211C42—81no—
1212C42—81no—
1213C42—81no—
1214C42C22×D412yes—
1215C42C2×#4112yes—
1216C23—21no—
1217C23—21no—
1218C23—21no—
1219C23—21no—
1220C23—21no—
1221C23—21no—
1222C23—21no—
1223C23—21no—
1224C23—22no—
1225C23—22no—
1226C23—21no—
1227C23—21no—
1228C23—22no—
1229C23—21no—
1230C23—21no—
1231C23—22no—
1232C23—41no—
1233C23—41no—
1234C23—41no—
1235C23—41no—
1236C23—41no—
1237C23—41no—
1238C23—41no—
1239C23—41no—
1240C23—41no—
1241C23—41no—
1242C23—41no—
1243C23—41no—
1244C23—41no—
1245C23—41no—
1246C23—41no—
1247C23—41no—
1248C23—41no—
1249C23—84no—
1250C23—84no—
1251C23—162no—
1252C23—162no—
1253C23—162no—
1254C23—162no—
1255C23—162no—
1256C23C2×#12112yes—
1257C23C2×#12112yes—
1258C23C23×D411yescharacteristic
1259Q8—22no—
1260Q8—22no—
1261Q8—22no—
1262Q8—22no—
1263Q8—41no—
1264Q8—41no—
1265Q8—41no—
1266Q8—41no—
1267Q8—41no—
1268Q8—41no—
1269Q8—41no—
1270Q8—41no—
1271Q8—41no—
1272Q8—41no—
1273Q8—41no—
1274Q8—41no—
1275Q8—84no—
1276D4—22no—
1277D4—22no—
1278D4—22no—
1279D4—22no—
1280D4—22no—
1281D4—44no—
1282D4—48no—
1283D4—48no—
1284D4—41no—
1285D4—41no—
1286D4—41no—
1287D4—41no—
1288D4—41no—
1289D4—41no—
1290D4—84no—
1291D4—84no—
1292D4—162no—
1293D4#54614yes—
1294C2×C4—21no—
1295C2×C4—21no—
1296C2×C4—21no—
1297C2×C4—21no—
1298C2×C4—21no—
1299C2×C4—21no—
1300C2×C4—21no—
1301C2×C4—21no—
1302C2×C4—22no—
1303C2×C4—22no—
1304C2×C4—22no—
1305C2×C4—22no—
1306C2×C4—22no—
1307C2×C4—22no—
1308C2×C4—22no—
1309C2×C4—22no—
1310C2×C4—21no—
1311C2×C4—21no—
1312C2×C4—21no—
1313C2×C4—21no—
1314C2×C4—21no—
1315C2×C4—21no—
1316C2×C4—21no—
1317C2×C4—21no—
1318C2×C4—21no—
1319C2×C4—21no—
1320C2×C4—21no—
1321C2×C4—21no—
1322C2×C4—21no—
1323C2×C4—21no—
1324C2×C4—21no—
1325C2×C4—21no—
1326C2×C4—22no—
1327C2×C4—22no—
1328C2×C4—22no—
1329C2×C4—21no—
1330C2×C4—21no—
1331C2×C4—21no—
1332C2×C4—21no—
1333C2×C4—21no—
1334C2×C4—21no—
1335C2×C4—21no—
1336C2×C4—21no—
1337C2×C4—22no—
1338C2×C4—48no—
1339C2×C4—48no—
1340C2×C4—41no—
1341C2×C4—41no—
1342C2×C4—41no—
1343C2×C4—41no—
1344C2×C4—41no—
1345C2×C4—41no—
1346C2×C4—41no—
1347C2×C4—41no—
1348C2×C4—41no—
1349C2×C4—41no—
1350C2×C4—41no—
1351C2×C4—41no—
1352C2×C4—41no—
1353C2×C4—41no—
1354C2×C4—41no—
1355C2×C4—41no—
1356C2×C4—41no—
1357C2×C4—41no—
1358C2×C4—41no—
1359C2×C4—41no—
1360C2×C4—41no—
1361C2×C4—41no—
1362C2×C4—41no—
1363C2×C4—41no—
1364C2×C4—41no—
1365C2×C4—41no—
1366C2×C4—41no—
1367C2×C4—41no—
1368C2×C4—41no—
1369C2×C4—41no—
1370C2×C4—41no—
1371C2×C4—41no—
1372C2×C4—41no—
1373C2×C4—41no—
1374C2×C4—41no—
1375C2×C4—84no—
1376C2×C4—84no—
1377C2×C4—84no—
1378C2×C4—82no—
1379C2×C4—82no—
1380C2×C4—84no—
1381C2×C4—162no—
1382C2×C4—162no—
1383C2×C4—162no—
1384C2×C4—162no—
1385C2×C4C2×#12112yes—
1386C2×C4C2×#12112yes—
1387C2×C4C2×#12112yes—
1388C2×C4C2×#12112yes—
1389C2×C4C23×D411yescharacteristic
1390C2×C4C22×#4111yescharacteristic
1391C2×C4C22×#4111yescharacteristic
1392C2×C4C2×H(5,𝔽2)11yescharacteristic
1393C2×C4C2×H(5,𝔽2)11yescharacteristic
1394C2×C4#58511yescharacteristic
1395C8—22no—
1396C8—41no—
1397C8—41no—
1398C8—41no—
1399C8—41no—
1400C8—41no—
1401C8—41no—
1402C8—41no—
1403C22—22no—
1404C22—22no—
1405C22—22no—
1406C22—22no—
1407C22—22no—
1408C22—22no—
1409C22—24no—
1410C22—42no—
1411C22—42no—
1412C22—42no—
1413C22—41no—
1414C22—41no—
1415C22—41no—
1416C22—41no—
1417C22—42no—
1418C22—41no—
1419C22—42no—
1420C22—41no—
1421C22—42no—
1422C22—41no—
1423C22—41no—
1424C22—42no—
1425C22—42no—
1426C22—42no—
1427C22—81no—
1428C22—81no—
1429C22—81no—
1430C22—81no—
1431C22—81no—
1432C22—81no—
1433C22—81no—
1434C22—81no—
1435C22—81no—
1436C22—81no—
1437C22—81no—
1438C22—168no—
1439C22C22×#12111yescharacteristic
1440C22D4×#4111yescharacteristic
1441C22#348411yescharacteristic
1442C22#358411yescharacteristic
1443C22#358411yescharacteristic
1444C22#358411yescharacteristic
1445C22#358611yescharacteristic
1446C4—22no—
1447C4—22no—
1448C4—22no—
1449C4—22no—
1450C4—42no—
1451C4—41no—
1452C4—41no—
1453C4—42no—
1454C4—42no—
1455C4—41no—
1456C4—41no—
1457C4—41no—
1458C4—41no—
1459C4—41no—
1460C4—41no—
1461C4—42no—
1462C4—81no—
1463C4—81no—
1464C4—81no—
1465C4—81no—
1466C4—81no—
1467C4—81no—
1468C4—81no—
1469C4—81no—
1470C4—81no—
1471C4C2×#54611yescharacteristic
1472C4#348111yescharacteristic
1473C4#349611yescharacteristic
1474C4#351311yescharacteristic
1475C2—42no—
1476C2—42no—
1477C2—44no—
1478C2—82no—
1479C2—161no—
1480C2#3621411yescharacteristic
1481C2#6042211yescharacteristic
1482C2#6043311yescharacteristic
1483C2#6150111yescharacteristic
1484C2#6153211yescharacteristic
1485C2#6162711yescharacteristic
1486C2#6163611yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
prime radicalC2×#3267C2
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ #2290 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#3302C2semidirect
3. #38094C2semidirect
4. #34289C2semidirect
5. #33036C2semidirect
6. #32916C2semidirect
7. #32910C2semidirect
8. #28628C2semidirect
9. #28588C2semidirect
10. #28576C2semidirect
11. #28168C2semidirect
12. #28130C2semidirect
13. #28122C2semidirect
14. #25379C2semidirect
15. #25319C2semidirect
16. #25226C2semidirect
17. #25213C2semidirect
18. #25084C2semidirect
19. #25079C2semidirect
20. #24830C2semidirect
21. #24737C2semidirect
22. #24537C2semidirect
23. #24536C2semidirect
24. #24373C2semidirect
25. #24365C2semidirect
26. #22697C2semidirect
27. #22494C2semidirect
28. #22414C2semidirect
29. #21510C2semidirect
30. #20932C2semidirect
31. #20924C2semidirect
38. C2×C4×#41C22semidirect
42. C2×#487C22semidirect
44. C2×#485C22semidirect
45. C2×#474C22semidirect
48. C2×#467C22semidirect
51. C2×#462C22semidirect
52. C2×#462C22semidirect
57. C2×#461C22semidirect
61. C2×#452C22semidirect
65. C2×C4×SD16C22semidirect
70. C2×#416C22semidirect
89. #2365C22semidirect
91. #2362C22semidirect
96. #2349C22semidirect
99. #2339C22semidirect
100. #2327C22semidirect
106. C4×C22⋊Q8C22semidirect
111. #2275C22semidirect
112. #2085C22semidirect
113. #2085C22semidirect
114. #2074C22semidirect
115. #2074C22semidirect
116. #2072C22semidirect
117. #2072C22semidirect
120. #2066C22semidirect
122. #2056C22semidirect
123. #2056C22semidirect
124. #2056C22semidirect
130. #2043C22semidirect
132. #2016C22semidirect
136. #1993C22semidirect
137. #1987C22semidirect
141. #1948C22semidirect
142. #1940C22semidirect
143. #1939C22semidirect
144. #1928C22semidirect
145. #1928C22semidirect
146. #1927C22semidirect
153. #1892C22semidirect
167. #1878C22semidirect
168. #1878C22semidirect
169. #1878C22semidirect
170. #1878C22semidirect
171. #1878C22semidirect
172. #1877C22semidirect
173. #1877C22semidirect
174. #1877C22semidirect
175. #1877C22semidirect
177. #1873C22semidirect
182. #1850C22semidirect
183. #1850C22semidirect
184. #1832C22semidirect
186. #1825C22semidirect
187. #1805C22semidirect
188. #1805C22semidirect
189. #1805C22semidirect
191. #1804C22semidirect
192. #1804C22semidirect
193. #1802C22semidirect
195. #1797C22semidirect
198. #1768C22semidirect
199. #1763C22semidirect
202. #1735C22semidirect
204. C2×#336C22semidirect

Maximal subgroups

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

subgroupindex
C2×#33022
C2×#32672
#380942
#342892
#330362
#329162
#329102
#286282
#285882
#285762
#281682
#281302
#281222
#253792
#253192
#252262
#252132
#250842
#250792
#248302
#247372
#245372
#245362
#243732
#243652
#226972
#224942
#224142
#215102
#209322
#209242