Finite Group Databasebeta

← #6508635

Subgroups — #6508635

Order 512.

3198 conjugacy classes of subgroups.

The subgroup lattice has 812 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3505C211yesmaximal, characteristic
2C2×#3094C211yesmaximal, characteristic, complemented
3C22×#485C211yesmaximal, characteristic, complemented
4#34809C211yesmaximal, characteristic, complemented
5#24106C214yesmaximal, complemented
6#24092C212yesmaximal, complemented
7#24091C212yesmaximal, complemented
8#24068C214yesmaximal, complemented
9#24050C214yesmaximal, complemented
10#24036C212yesmaximal, complemented
11#24035C212yesmaximal, complemented
12#24008C214yesmaximal, complemented
13#21768C211yesmaximal, characteristic, complemented
14#21761C211yesmaximal, characteristic, complemented
15#21740C211yesmaximal, characteristic, complemented
16#3505—28no—
17#3505—28no—
18C2×#553—22no—
19C2×#553C2212yes—
20C2×#552C2212yes—
21C2×#551—22no—
22C2×#548C2212yes—
23C2×#546C2212yes—
24C2×#539—21no—
25C2×#538—21no—
26C2×#534—21no—
27C2×#529C2212yes—
28C2×#525C2212yes—
29C22×C22⋊Q8C2211yescharacteristic
30C22×#121C2211yescharacteristic
31C2×#518—21no—
32C22×C4×D4C2211yescharacteristic
33C22×#117C2211yescharacteristic
34#3094—28no—
35C2×#481C2212yescomplemented
36C2×#485—28no—
37C2×#485C2214yescomplemented
38C2×#485C2214yescomplemented
39C2×#482C2214yes—
40C2×#480C2212yescomplemented
41C2×#428C2212yescomplemented
42C22×#107C2211yescharacteristic, complemented
43C22×#106C2211yescharacteristic, complemented
44C2×#418C2212yescomplemented
45C22×#103C2211yescharacteristic, complemented
46C22×#103C2211yescharacteristic, complemented
47C2×#407C2211yescharacteristic
48C22×C22⋊C8C2211yescharacteristic
49#2487C2212yescomplemented
50#2486C2212yescomplemented
51#2485C2214yes—
52#2484—21no—
53#2483—21no—
54#2482—21no—
55#2405—21no—
56#2395—22no—
57C4×#123—22no—
58#2296C2212yescomplemented
59#2280C2211yescharacteristic
60#2280C2212yescomplemented
61#2059C2214yescomplemented
62#2059C2214yescomplemented
63#2042C2214yescomplemented
64#2042C2214yescomplemented
65#2036C2214yescomplemented
66#2035C2214yescomplemented
67#2034C2214yescomplemented
68#2033C2214yescomplemented
69#1894C2214yescomplemented
70#1893C2212yescomplemented
71#1893C2212yescomplemented
72#1875C2214yes—
73#1873C2214yescomplemented
74#1870C2214yes—
75#1869C2212yescomplemented
76#1869C2212yescomplemented
77#1865C2214yescomplemented
78#1864C2214yescomplemented
79#1863C2214yescomplemented
80#1862C2214yescomplemented
81#1854C2214yescomplemented
82#1854C2214yescomplemented
83#1824C2212yescomplemented
84#1824C2212yescomplemented
85#1817C2212yescomplemented
86#1788C2214yescomplemented
87#1788C2214yescomplemented
88#1787C2212yescomplemented
89#1786C2212yescomplemented
90#1779C2212yescomplemented
91C22×#41C2312yes—
92C23×Q8C2311yescharacteristic
93C23×D4—21no—
94C23×D4D411yescharacteristic
95C23×D4C2311yescharacteristic
96C24×C4C2311yescharacteristic
97C24×C4C2311yescharacteristic
98C22×M16C2312yes—
99C23×C8C2311yescharacteristic
100C23×C8C2311yescharacteristic
101#553—232no—
102#553—28no—
103#553—28no—
104#552—28no—
105#552—28no—
106#551—232no—
107#548—28no—
108#548—28no—
109#546—28no—
110#546—28no—
111#539—216no—
112#538—216no—
113#534—216no—
114#529—28no—
115#529—28no—
116C2×#126—22no—
117C2×#126—22no—
118C2×#126—22no—
119C2×#125—22no—
120C2×#125C2312yes—
121C2×#124—22no—
122C2×#124C2312yes—
123#525—28no—
124#525—28no—
125C2×#123—22no—
126C2×#123—22no—
127C2×#123—22no—
128C2×#123—22no—
129C2×#123—22no—
130C2×#123—22no—
131C2×C22⋊Q8—21no—
132C2×C22⋊Q8—21no—
133C2×C22⋊Q8—24no—
134C2×C22⋊Q8—22no—
135C2×C22⋊Q8D418yes—
136C2×C22⋊Q8C2312yes—
137C2×C22⋊Q8C2312yes—
138C2×C22⋊Q8C2312yes—
139C2×#121—22no—
140C2×#121—22no—
141C2×#121—21no—
142C2×#121—21no—
143C2×#121—24no—
144C2×#121—22no—
145C2×#121D418yes—
146C2×#121C2312yes—
147C2×#121C2312yes—
148C2×#121C2312yes—
149C2×#120—22no—
150C2×#120—22no—
151#518—216no—
152C2×C4×Q8C2312yes—
153C2×C4×D4—24no—
154C2×C4×D4—24no—
155C2×C4×D4—22no—
156C2×C4×D4—22no—
157C2×C4×D4—22no—
158C2×C4×D4—22no—
159C2×C4×D4—22no—
160C2×C4×D4D412yes—
161C2×C4×D4D412yes—
162C2×C4×D4C2312yes—
163C2×C4×D4C2312yes—
164C2×C4×D4C2312yes—
165C2×#117—21no—
166C2×#117—21no—
167C2×#117—22no—
168C2×#117—22no—
169C2×#117—24no—
170C2×#117—24no—
171C2×#117C2312yes—
172C2×#117C2312yes—
173C2×#117C2312yes—
174C2×#117C2312yes—
175C22×C4⋊C4—21no—
176C22×C4⋊C4D411yescharacteristic
177C22×C4⋊C4C2311yescharacteristic
178C22×C4⋊C4C2311yescharacteristic
179C22×C4⋊C4C2311yescharacteristic
180C22×C4⋊C4C2311yescharacteristic
181C22×C22⋊C4—21no—
182C22×C22⋊C4—21no—
183C22×C22⋊C4—22no—
184C22×C22⋊C4—21no—
185C22×C22⋊C4D411yescharacteristic
186C22×C22⋊C4D411yescharacteristic
187C22×C42—21no—
188C22×C42C2311yescharacteristic
189#485—216no—
190#485—216no—
191#482—216no—
192#481—28no—
193#480—28no—
194#428—28no—
195C2×#107—24no—
196C2×#107C2314yes—
197C2×#107C2314yes—
198C2×#106—24no—
199C2×#106C2314yes—
200C2×#106C2314yes—
201#418—28no—
202C2×#103—24no—
203C2×#103—24no—
204C2×#103C2314yes—
205C2×#103C2314yes—
206C2×#103C2314yes—
207C2×#103C2314yes—
208C2×#102C2314yes—
209C2×#102C2314yes—
210C2×#102C2314yes—
211C2×#102C2314yes—
212#407—24no—
213C2×C22⋊C8—24no—
214C2×C22⋊C8C2312yes—
215C2×C22⋊C8C2312yes—
216C2×C22⋊C8C2312yes—
217C2×C22⋊C8C2312yes—
218C2×C22⋊C8C2314yes—
219C2×C22⋊C8C2314yes—
220#400—22no—
221#399—22no—
222#398—22no—
223#397—22no—
224#397—24no—
225#394—24no—
226#389C2314yes—
227#389C2314yes—
228#388—24no—
229#387—24no—
230#386—22no—
231#385—22no—
232#385—22no—
233#385—22no—
234#381—21no—
235#381—22no—
236#381—22no—
237#380C2312yes—
238#380C2312yes—
239#380C2314yes—
240#380C2314yes—
241#379—22no—
242#379—21no—
243C4×C4⋊C4—24no—
244C4×C22⋊C4—21no—
245C4×C22⋊C4—24no—
246C4×C22⋊C4—21no—
247#340C2314yes—
248#340C2314yes—
249#340C2314yes—
250#340C2314yes—
251#336C2314yes—
252#336C2314yes—
253C25—21no—
254C25C2×D411yescharacteristic
255C25C2×D411yescharacteristic
256C2×#41—24no—
257C2×#41—24no—
258C2×#41—44no—
259C2×#41—44no—
260C22×Q8—21no—
261C22×Q8—22no—
262C22×Q8—42no—
263C22×Q8—42no—
264C22×Q8C2×D414yes—
265C22×Q8C2412yes—
266C22×D4—24no—
267C22×D4—28no—
268C22×D4—22no—
269C22×D4—22no—
270C22×D4—22no—
271C22×D4—22no—
272C22×D4—21no—
273C22×D4—22no—
274C22×D4—42no—
275C22×D4—42no—
276C22×D4—44no—
277C22×D4—48no—
278C22×D4C2×D412yes—
279C22×D4C2×D412yes—
280C22×D4C2×D414yes—
281C22×D4C2412yes—
282C23×C4—21no—
283C23×C4—21no—
284C23×C4—21no—
285C23×C4—22no—
286C23×C4—22no—
287C23×C4—22no—
288C23×C4—22no—
289C23×C4—21no—
290C23×C4—21no—
291C23×C4—42no—
292C23×C4—42no—
293C23×C4—42no—
294C23×C4—42no—
295C23×C4C2×D411yescharacteristic
296C23×C4C2×D411yescharacteristic
297C23×C4C2×D411yescharacteristic
298C23×C4C2×D412yes—
299C23×C4C2×D411yescharacteristic
300C23×C4C2×D411yescharacteristic
301C23×C4C2×D411yescharacteristic
302C23×C4C2×D414yes—
303C23×C4C2×D414yes—
304C23×C4C2412yes—
305C23×C4C2411yescharacteristic
306C23×C4C2411yescharacteristic
307C23×C4C2411yescharacteristic
308C2×M16—24no—
309C2×M16—42no—
310C2×M16—42no—
311C22×C8—22no—
312C22×C8—22no—
313C22×C8—42no—
314C22×C8—42no—
315C22×C8C2412yes—
316C22×C8C2412yes—
317C22×C8C2414yes—
318#126—216no—
319#126—216no—
320#126—216no—
321#125—216no—
322#125—24no—
323#125—24no—
324#124—216no—
325#124—24no—
326#124—24no—
327#123—216no—
328#123—216no—
329#123—216no—
330#123—216no—
331#123—216no—
332#123—48no—
333C22⋊Q8—216no—
334C22⋊Q8—24no—
335C22⋊Q8—28no—
336C22⋊Q8—28no—
337C22⋊Q8—24no—
338C22⋊Q8—24no—
339C22⋊Q8—24no—
340C22⋊Q8C2×D418yes—
341C22⋊Q8C2×D418yes—
342#121—216no—
343#121—216no—
344#121—216no—
345#121—24no—
346#121—28no—
347#121—28no—
348#121—24no—
349#121—24no—
350#121—24no—
351#121C2×D418yes—
352#121C2×D418yes—
353#120—216no—
354#120—216no—
355C4×Q8—24no—
356C4×Q8—24no—
357C4×D4—216no—
358C4×D4—216no—
359C4×D4—216no—
360C4×D4—216no—
361C4×D4—216no—
362C4×D4—24no—
363C4×D4—28no—
364C4×D4—28no—
365C4×D4—24no—
366C4×D4—24no—
367C4×D4—24no—
368C4×D4—24no—
369C4×D4—24no—
370#117—216no—
371#117—216no—
372#117—24no—
373#117—24no—
374#117—24no—
375#117—24no—
376#117—24no—
377#117—24no—
378#117—42no—
379#117—42no—
380#117—44no—
381#117—44no—
382C2×C4⋊C4—28no—
383C2×C4⋊C4—24no—
384C2×C4⋊C4—22no—
385C2×C4⋊C4—22no—
386C2×C4⋊C4—21no—
387C2×C4⋊C4—22no—
388C2×C4⋊C4—21no—
389C2×C4⋊C4—22no—
390C2×C4⋊C4—22no—
391C2×C4⋊C4—22no—
392C2×C4⋊C4—22no—
393C2×C4⋊C4—22no—
394C2×C4⋊C4—22no—
395C2×C4⋊C4—22no—
396C2×C4⋊C4—22no—
397C2×C4⋊C4—22no—
398C2×C4⋊C4—21no—
399C2×C4⋊C4—21no—
400C2×C4⋊C4—24no—
401C2×C4⋊C4—24no—
402C2×C4⋊C4C2×D412yes—
403C2×C4⋊C4C2×D412yes—
404C2×C4⋊C4C2×D414yes—
405C2×C4⋊C4C2×D414yes—
406C2×C4⋊C4C2412yes—
407C2×C4⋊C4C2412yes—
408C2×C4⋊C4C2414yes—
409C2×C4⋊C4C2412yes—
410C2×C4⋊C4C2412yes—
411C2×C22⋊C4—216no—
412C2×C22⋊C4—28no—
413C2×C22⋊C4—24no—
414C2×C22⋊C4—22no—
415C2×C22⋊C4—22no—
416C2×C22⋊C4—22no—
417C2×C22⋊C4—22no—
418C2×C22⋊C4—28no—
419C2×C22⋊C4—24no—
420C2×C22⋊C4—22no—
421C2×C22⋊C4—22no—
422C2×C22⋊C4—22no—
423C2×C22⋊C4—22no—
424C2×C22⋊C4—22no—
425C2×C22⋊C4—22no—
426C2×C22⋊C4—22no—
427C2×C22⋊C4—22no—
428C2×C22⋊C4—22no—
429C2×C22⋊C4—22no—
430C2×C22⋊C4—24no—
431C2×C22⋊C4—24no—
432C2×C22⋊C4—22no—
433C2×C22⋊C4—44no—
434C2×C22⋊C4C2×D412yes—
435C2×C22⋊C4C2×D412yes—
436C2×C22⋊C4C2×D412yes—
437C2×C22⋊C4C2×D412yes—
438C2×C42—22no—
439C2×C42—22no—
440C2×C42—22no—
441C2×C42—22no—
442C2×C42—22no—
443C2×C42—22no—
444C2×C42—22no—
445C2×C42—44no—
446C2×C42C2×D412yes—
447C2×C42C2412yes—
448#107—28no—
449#107—28no—
450#106—28no—
451#106—28no—
452#103—28no—
453#103—28no—
454#103—44no—
455#103—44no—
456#102—28no—
457#102—28no—
458#102—44no—
459#102—44no—
460C22⋊C8—24no—
461C22⋊C8—24no—
462C22⋊C8—24no—
463C22⋊C8—24no—
464C22⋊C8—44no—
465C22⋊C8—44no—
466#95—24no—
467#95—24no—
468#95—22no—
469#95—22no—
470#95—24no—
471#95—24no—
472C24—24no—
473C24—22no—
474C24—24no—
475C24—22no—
476C24—42no—
477C24—42no—
478C24—42no—
479C24—42no—
480C24—42no—
481C24—44no—
482C24—82no—
483C24—82no—
484C24#12014yes—
485C24C22×D412yes—
486C24C22×D411yescharacteristic
487C24C22×D411yescharacteristic
488C24C22×D411yescharacteristic
489#41—88no—
490#41—84no—
491#41—84no—
492C2×Q8—24no—
493C2×Q8—22no—
494C2×Q8—24no—
495C2×Q8—24no—
496C2×Q8—44no—
497C2×Q8—44no—
498C2×Q8—82no—
499C2×Q8—84no—
500C2×Q8C22×D414yes—
501C2×D4—24no—
502C2×D4—28no—
503C2×D4—24no—
504C2×D4—28no—
505C2×D4—24no—
506C2×D4—24no—
507C2×D4—28no—
508C2×D4—28no—
509C2×D4—24no—
510C2×D4—22no—
511C2×D4—24no—
512C2×D4—24no—
513C2×D4—48no—
514C2×D4—42no—
515C2×D4—42no—
516C2×D4—416no—
517C2×D4—432no—
518C2×D4—48no—
519C2×D4—48no—
520C2×D4—82no—
521C2×D4—82no—
522C2×D4—82no—
523C2×D4—84no—
524C2×D4—84no—
525C2×D4C22×D414yes—
526C22×C4—22no—
527C22×C4—22no—
528C22×C4—22no—
529C22×C4—22no—
530C22×C4—22no—
531C22×C4—22no—
532C22×C4—22no—
533C22×C4—24no—
534C22×C4—22no—
535C22×C4—22no—
536C22×C4—22no—
537C22×C4—28no—
538C22×C4—28no—
539C22×C4—22no—
540C22×C4—24no—
541C22×C4—22no—
542C22×C4—24no—
543C22×C4—22no—
544C22×C4—22no—
545C22×C4—24no—
546C22×C4—24no—
547C22×C4—24no—
548C22×C4—24no—
549C22×C4—22no—
550C22×C4—22no—
551C22×C4—44no—
552C22×C4—44no—
553C22×C4—48no—
554C22×C4—42no—
555C22×C4—42no—
556C22×C4—42no—
557C22×C4—42no—
558C22×C4—44no—
559C22×C4—42no—
560C22×C4—42no—
561C22×C4—44no—
562C22×C4—42no—
563C22×C4—42no—
564C22×C4—44no—
565C22×C4—84no—
566C22×C4—82no—
567C22×C4—82no—
568C22×C4—84no—
569C22×C4—84no—
570C22×C4—82no—
571C22×C4—82no—
572C22×C4—82no—
573C22×C4#12014yes—
574C22×C4#12014yes—
575C22×C4#12014yes—
576C22×C4C22×D412yes—
577C22×C4C22×D412yes—
578C22×C4C22×D412yes—
579C22×C4C22×D411yescharacteristic
580C22×C4C22×D411yescharacteristic
581C22×C4C22×D411yescharacteristic
582C22×C4C22×D412yes—
583C22×C4C22×D412yes—
584C22×C4C22×D412yes—
585C22×C4C22×D412yes—
586C22×C4C22×D412yes—
587C22×C4C22×D412yes—
588C22×C4C2511yescharacteristic
589M16—48no—
590C2×C8—24no—
591C2×C8—22no—
592C2×C8—22no—
593C2×C8—24no—
594C2×C8—24no—
595C2×C8—24no—
596C2×C8—24no—
597C2×C8—44no—
598C2×C8—44no—
599C4⋊C4—28no—
600C4⋊C4—28no—
601C4⋊C4—28no—
602C4⋊C4—28no—
603C4⋊C4—28no—
604C4⋊C4—28no—
605C4⋊C4—24no—
606C4⋊C4—24no—
607C4⋊C4—24no—
608C4⋊C4—24no—
609C4⋊C4—22no—
610C4⋊C4—22no—
611C4⋊C4—22no—
612C4⋊C4—22no—
613C4⋊C4—22no—
614C4⋊C4—22no—
615C4⋊C4—24no—
616C4⋊C4—24no—
617C4⋊C4—48no—
618C4⋊C4—42no—
619C4⋊C4—42no—
620C4⋊C4—84no—
621C4⋊C4C22×D414yes—
622C4⋊C4C22×D414yes—
623C22⋊C4—28no—
624C22⋊C4—28no—
625C22⋊C4—28no—
626C22⋊C4—28no—
627C22⋊C4—28no—
628C22⋊C4—28no—
629C22⋊C4—24no—
630C22⋊C4—28no—
631C22⋊C4—28no—
632C22⋊C4—24no—
633C22⋊C4—28no—
634C22⋊C4—28no—
635C22⋊C4—24no—
636C22⋊C4—24no—
637C22⋊C4—44no—
638C22⋊C4—48no—
639C22⋊C4—44no—
640C22⋊C4—44no—
641C22⋊C4—44no—
642C22⋊C4—82no—
643C22⋊C4—84no—
644C42—28no—
645C42—28no—
646C42—24no—
647C42—22no—
648C42—22no—
649C42—44no—
650C42—44no—
651C42—44no—
652C23—22no—
653C23—22no—
654C23—22no—
655C23—22no—
656C23—22no—
657C23—22no—
658C23—22no—
659C23—22no—
660C23—28no—
661C23—24no—
662C23—22no—
663C23—24no—
664C23—24no—
665C23—22no—
666C23—22no—
667C23—44no—
668C23—44no—
669C23—44no—
670C23—48no—
671C23—44no—
672C23—44no—
673C23—44no—
674C23—82no—
675C23—88no—
676C23—82no—
677C23—84no—
678C23—84no—
679C23—88no—
680C23—168no—
681C23C2×#12012yes—
682C23C2×#12012yes—
683C23C2×#12012yes—
684C23#57514yes—
685C23C23×D411yescharacteristic
686Q8—24no—
687Q8—24no—
688Q8—44no—
689Q8—84no—
690D4—28no—
691D4—48no—
692D4—416no—
693D4—48no—
694D4—416no—
695D4—42no—
696D4—42no—
697D4—84no—
698D4—88no—
699D4—88no—
700C2×C4—22no—
701C2×C4—22no—
702C2×C4—22no—
703C2×C4—22no—
704C2×C4—22no—
705C2×C4—24no—
706C2×C4—24no—
707C2×C4—22no—
708C2×C4—22no—
709C2×C4—22no—
710C2×C4—22no—
711C2×C4—24no—
712C2×C4—24no—
713C2×C4—22no—
714C2×C4—22no—
715C2×C4—24no—
716C2×C4—22no—
717C2×C4—24no—
718C2×C4—24no—
719C2×C4—24no—
720C2×C4—22no—
721C2×C4—22no—
722C2×C4—44no—
723C2×C4—44no—
724C2×C4—44no—
725C2×C4—44no—
726C2×C4—48no—
727C2×C4—44no—
728C2×C4—44no—
729C2×C4—44no—
730C2×C4—44no—
731C2×C4—42no—
732C2×C4—42no—
733C2×C4—44no—
734C2×C4—44no—
735C2×C4—42no—
736C2×C4—42no—
737C2×C4—44no—
738C2×C4—44no—
739C2×C4—44no—
740C2×C4—84no—
741C2×C4—82no—
742C2×C4—82no—
743C2×C4—84no—
744C2×C4—84no—
745C2×C4—88no—
746C2×C4—88no—
747C2×C4—84no—
748C2×C4—84no—
749C2×C4C2×#12012yes—
750C2×C4C2×#12012yes—
751C2×C4C2×#12012yes—
752C2×C4C23×D411yescharacteristic
753C2×C4C23×D411yescharacteristic
754C2×C4#58512yes—
755C2×C4#58512yes—
756C8—42no—
757C8—42no—
758C8—44no—
759C22—28no—
760C22—22no—
761C22—22no—
762C22—22no—
763C22—22no—
764C22—22no—
765C22—22no—
766C22—22no—
767C22—22no—
768C22—44no—
769C22—44no—
770C22—44no—
771C22—44no—
772C22—42no—
773C22—44no—
774C22—42no—
775C22—44no—
776C22—44no—
777C22—42no—
778C22—88no—
779C22—88no—
780C22—88no—
781C22—168no—
782C22#300514yes—
783C22C22×#12011yescharacteristic
784C22#348512yes—
785C22C2×#57512yes—
786C22#358412yes—
787C4—22no—
788C4—22no—
789C4—22no—
790C4—42no—
791C4—44no—
792C4—42no—
793C4—44no—
794C4—42no—
795C4—44no—
796C4—84no—
797C4—82no—
798C4—82no—
799C4#348512yes—
800C4#348511yescharacteristic
801C4#348511yescharacteristic
802C2—24no—
803C2—42no—
804C2—42no—
805C2—82no—
806C2—84no—
807C2#3544611yescharacteristic
808C2C2×#300511yescharacteristic
809C2#6036611yescharacteristic
810C2#6174114yes—
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
prime radicalC2×#3505C2
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C22×C4×D4 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
2. C2×#3094C2semidirect
3. C22×#485C2semidirect
4. #34809C2semidirect
5. #24106C2semidirect
6. #24092C2semidirect
7. #24091C2semidirect
8. #24068C2semidirect
9. #24050C2semidirect
10. #24036C2semidirect
11. #24035C2semidirect
12. #24008C2semidirect
13. #21768C2semidirect
14. #21761C2semidirect
15. #21740C2semidirect
35. C2×#481C22semidirect
37. C2×#485C22semidirect
38. C2×#485C22semidirect
40. C2×#480C22semidirect
41. C2×#428C22semidirect
42. C22×#107C22semidirect
43. C22×#106C22semidirect
44. C2×#418C22semidirect
45. C22×#103C22semidirect
46. C22×#103C22semidirect
49. #2487C22semidirect
50. #2486C22semidirect
58. #2296C22semidirect
60. #2280C22semidirect
61. #2059C22semidirect
62. #2059C22semidirect
63. #2042C22semidirect
64. #2042C22semidirect
65. #2036C22semidirect
66. #2035C22semidirect
67. #2034C22semidirect
68. #2033C22semidirect
69. #1894C22semidirect
70. #1893C22semidirect
71. #1893C22semidirect
73. #1873C22semidirect
75. #1869C22semidirect
76. #1869C22semidirect
77. #1865C22semidirect
78. #1864C22semidirect
79. #1863C22semidirect
80. #1862C22semidirect
81. #1854C22semidirect
82. #1854C22semidirect
83. #1824C22semidirect
84. #1824C22semidirect
85. #1817C22semidirect
86. #1788C22semidirect
87. #1788C22semidirect
88. #1787C22semidirect
89. #1786C22semidirect
90. #1779C22semidirect

Maximal subgroups

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

subgroupindex
C2×#35052
C2×#30942
C22×#4852
#348092
#241062
#240922
#240912
#240682
#240502
#240362
#240352
#240082
#217682
#217612
#217402