Finite Group Databasebeta

← #6489540

Subgroups — #6489540

Order 512.

3174 conjugacy classes of subgroups.

The subgroup lattice has 779 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#533C211yesmaximal, characteristic
2C2×#3231C212yesmaximal, complemented
3#36625C211yesmaximal, characteristic
4#32985C214yesmaximal
5#29645C214yesmaximal, complemented
6#25904C212yesmaximal, complemented
7#25902C211yesmaximal, characteristic, complemented
8#25902C211yesmaximal, characteristic, complemented
9#25813C211yesmaximal, characteristic, complemented
10#25812C212yesmaximal, complemented
11#25811C211yesmaximal, characteristic, complemented
12#24307C214yesmaximal, complemented
13#24306C214yesmaximal, complemented
14#21835C212yesmaximal, complemented
15#20714C211yesmaximal, characteristic
16C2×#533—21no—
17C2×#533—21no—
18C2×#533—21no—
19C2×#533—21no—
20C2×#533—216no—
21C2×#533C2211yescharacteristic
22C2×#533C2212yes—
23C2×#533C2212yes—
24C2×#533C2212yes—
25C2×#533C2212yes—
26C22×C4⋊Q8C2211yescharacteristic
27C22×C4⋊Q8C2211yescharacteristic
28C22×#125C2212yes—
29C22×C22⋊Q8—21no—
30C22×C22⋊Q8—21no—
31C22×C4×Q8—21no—
32C22×C4×Q8—21no—
33C22×#117C2212yes—
34C23×C42C2211yescharacteristic
35#3231—216no—
36C2×#500C2212yescomplemented
37C2×#498C2212yescomplemented
38C2×#487C2212yescomplemented
39C2×#487C2212yescomplemented
40C2×#485C2218yes—
41C2×#479C2218yescomplemented
42C2×#431C2212yes—
43#2857C2211yescharacteristic
44#2857C2211yescharacteristic
45#2857C2211yescharacteristic
46#2857C2211yescharacteristic
47#2855—21no—
48#2855C2212yes—
49#2851—21no—
50#2851—21no—
51#2848—21no—
52#2848C2212yes—
53C4×C22⋊Q8—21no—
54C4×C22⋊Q8—21no—
55C4×C22⋊Q8C2212yes—
56C4×C22⋊Q8C2212yes—
57#2296—21no—
58#2285C2211yescharacteristic
59#2280—21no—
60#2059C2218yescomplemented
61#2058C2214yescomplemented
62#2057C2214yescomplemented
63#2026C2218yescomplemented
64#2024C2214yescomplemented
65#2024C2214yescomplemented
66#1990C2212yescomplemented
67#1990C2212yescomplemented
68#1990C2212yescomplemented
69#1990C2212yescomplemented
70#1989C2218yescomplemented
71#1873C2218yes—
72#1872C2214yes—
73#1872C2214yes—
74#1854C2218yes—
75#1853C2214yes—
76#1852C2214yes—
77#1825C2218yes—
78#1817C2212yes—
79#1797C2212yes—
80#1797C2212yes—
81#1779C2212yes—
82C4×C22⋊C8C2211yescharacteristic
83C4×C22⋊C8C2211yescharacteristic
84C4×C22⋊C8C2212yes—
85C23×Q8—21no—
86C23×Q8—21no—
87C24×C4D411yescharacteristic
88C24×C4D411yescharacteristic
89C24×C4C2311yescharacteristic
90#533—216no—
91#533—216no—
92#533—216no—
93#533—216no—
94#533—28no—
95#533—28no—
96#533—216no—
97#533—216no—
98#533—28no—
99#533—28no—
100#533D4116yes—
101C2×C4⋊Q8—28no—
102C2×C4⋊Q8—28no—
103C2×C4⋊Q8—21no—
104C2×C4⋊Q8—21no—
105C2×C4⋊Q8—21no—
106C2×C4⋊Q8—21no—
107C2×C4⋊Q8C2311yescharacteristic
108C2×C4⋊Q8C2312yes—
109C2×C4⋊Q8C2312yes—
110C2×C4⋊Q8C2311yescharacteristic
111C2×C4⋊Q8C2312yes—
112C2×C4⋊Q8C2312yes—
113C2×#125—216no—
114C2×#125—22no—
115C2×#125—22no—
116C2×#125—21no—
117C2×#125C2314yes—
118C2×#125C2314yes—
119C2×C22⋊Q8—216no—
120C2×C22⋊Q8—216no—
121C2×C22⋊Q8—22no—
122C2×C22⋊Q8—22no—
123C2×C22⋊Q8—22no—
124C2×C22⋊Q8—22no—
125C2×C22⋊Q8—22no—
126C2×C22⋊Q8—22no—
127C2×C22⋊Q8—22no—
128C2×C22⋊Q8—22no—
129C2×C22⋊Q8—21no—
130C2×C22⋊Q8—21no—
131C2×C22⋊Q8—21no—
132C2×C22⋊Q8C2312yes—
133C2×C22⋊Q8C2312yes—
134C2×C22⋊Q8C2312yes—
135C2×C4×Q8—216no—
136C2×C4×Q8—216no—
137C2×C4×Q8—22no—
138C2×C4×Q8—22no—
139C2×C4×Q8—22no—
140C2×C4×Q8—22no—
141C2×C4×Q8—22no—
142C2×C4×Q8—22no—
143C2×C4×Q8—22no—
144C2×C4×Q8—22no—
145C2×C4×Q8—21no—
146C2×C4×Q8C2312yes—
147C2×#117—22no—
148C2×#117—22no—
149C2×#117—216no—
150C2×#117—21no—
151C2×#117—21no—
152C2×#117C2314yes—
153C2×#117C2314yes—
154C22×C4⋊C4—22no—
155C22×C4⋊C4—22no—
156C22×C4⋊C4—21no—
157C22×C4⋊C4—21no—
158C22×C4⋊C4C2312yes—
159C22×C4⋊C4C2312yes—
160C22×C22⋊C4—22no—
161C22×C42—22no—
162C22×C42—28no—
163C22×C42D411yescharacteristic
164C22×C42D411yescharacteristic
165C22×C42D411yescharacteristic
166C22×C42D411yescharacteristic
167C22×C42D411yescharacteristic
168C22×C42D411yescharacteristic
169C22×C42C2311yescharacteristic
170C22×C42C2311yescharacteristic
171C22×C42C2311yescharacteristic
172C22×C42C2311yescharacteristic
173C22×C42C2311yescharacteristic
174C22×C42C2311yescharacteristic
175#500—28no—
176#498—28no—
177#487—28no—
178#487—28no—
179#485—232no—
180#479—232no—
181#431—28no—
182C2×#107C2318yes—
183C2×#106C2318yes—
184C2×C4⋊C8C2314yes—
185C2×#103C2318yes—
186C2×#103C2318yes—
187C2×C22⋊C8C2312yes—
188C2×C22⋊C8C2312yes—
189C2×C22⋊C8C2314yes—
190C2×C22⋊C8C2314yes—
191C2×C4×C8C2312yes—
192C2×C4×C8C2312yes—
193#391—21no—
194#391—21no—
195#391C2312yes—
196#391C2312yes—
197#389—21no—
198#389—21no—
199#389—21no—
200#389—21no—
201#389—21no—
202#389—21no—
203#389C2312yes—
204#389C2312yes—
205#387—22no—
206#387—22no—
207#387—22no—
208#387—22no—
209#385—22no—
210#385—22no—
211#385—22no—
212#385—22no—
213#385—22no—
214#385—22no—
215#384C2311yescharacteristic
216#384C2311yescharacteristic
217#382—21no—
218#381—22no—
219#380—21no—
220#380—21no—
221#380—21no—
222#380—21no—
223#380—21no—
224#380—21no—
225#380—21no—
226#380C2312yes—
227#380C2312yes—
228#380C2312yes—
229#379—22no—
230C4×C4⋊C4—21no—
231C4×C4⋊C4—22no—
232C4×C4⋊C4—22no—
233C4×C4⋊C4C2312yes—
234C4×C22⋊C4—22no—
235C4×C22⋊C4—22no—
236#340C2318yes—
237#340C2318yes—
238#340C2318yes—
239#340C2318yes—
240#336C2312yes—
241#336C2312yes—
242#336C2314yes—
243C25C2×D411yescharacteristic
244C22×Q8—28no—
245C22×Q8—28no—
246C22×Q8—22no—
247C22×Q8—22no—
248C22×Q8—22no—
249C22×Q8—22no—
250C22×Q8—21no—
251C22×Q8—44no—
252C22×Q8—44no—
253C22×Q8—44no—
254C22×Q8—44no—
255C22×Q8C2412yes—
256C23×C4—24no—
257C23×C4—24no—
258C23×C4—24no—
259C23×C4—22no—
260C23×C4—22no—
261C23×C4—24no—
262C23×C4—24no—
263C23×C4—24no—
264C23×C4—24no—
265C23×C4—42no—
266C23×C4—42no—
267C23×C4C2×D411yescharacteristic
268C23×C4C2×D411yescharacteristic
269C23×C4C2×D411yescharacteristic
270C23×C4C2×D411yescharacteristic
271C23×C4C2×D411yescharacteristic
272C23×C4C2×D411yescharacteristic
273C23×C4C2×D411yescharacteristic
274C23×C4C2×D411yescharacteristic
275C23×C4C2×D411yescharacteristic
276C23×C4C2×D411yescharacteristic
277C23×C4C2×D411yescharacteristic
278C23×C4C2×D411yescharacteristic
279C23×C4C2×D411yescharacteristic
280C23×C4C2×D411yescharacteristic
281C23×C4C2×D411yescharacteristic
282C23×C4C2411yescharacteristic
283C23×C4C2411yescharacteristic
284C23×C4C2411yescharacteristic
285C22×C8C2414yes—
286C22×C8C2414yes—
287C4⋊Q8—28no—
288C4⋊Q8—28no—
289C4⋊Q8—28no—
290C4⋊Q8—28no—
291C4⋊Q8—28no—
292C4⋊Q8—28no—
293C4⋊Q8—24no—
294C4⋊Q8—24no—
295C4⋊Q8—24no—
296C4⋊Q8—24no—
297C4⋊Q8C2×D418yes—
298C4⋊Q8C2×D418yes—
299#125—216no—
300#125—216no—
301#125—28no—
302#125—28no—
303#125—28no—
304#125—44no—
305#125C2×D4116yes—
306C22⋊Q8—216no—
307C22⋊Q8—216no—
308C22⋊Q8—216no—
309C22⋊Q8—216no—
310C22⋊Q8—216no—
311C22⋊Q8—216no—
312C22⋊Q8—216no—
313C22⋊Q8—216no—
314C22⋊Q8—28no—
315C22⋊Q8—28no—
316C22⋊Q8—28no—
317C22⋊Q8—44no—
318C22⋊Q8—44no—
319C22⋊Q8—44no—
320C4×Q8—216no—
321C4×Q8—216no—
322C4×Q8—216no—
323C4×Q8—216no—
324C4×Q8—216no—
325C4×Q8—216no—
326C4×Q8—216no—
327C4×Q8—216no—
328C4×Q8—28no—
329C4×Q8—44no—
330#117—216no—
331#117—216no—
332#117—28no—
333#117—28no—
334#117—28no—
335#117—44no—
336#117—44no—
337#117C2×D4116yes—
338C2×C4⋊C4—216no—
339C2×C4⋊C4—216no—
340C2×C4⋊C4—28no—
341C2×C4⋊C4—28no—
342C2×C4⋊C4—24no—
343C2×C4⋊C4—24no—
344C2×C4⋊C4—24no—
345C2×C4⋊C4—24no—
346C2×C4⋊C4—22no—
347C2×C4⋊C4—22no—
348C2×C4⋊C4—22no—
349C2×C4⋊C4—22no—
350C2×C4⋊C4—22no—
351C2×C4⋊C4—22no—
352C2×C4⋊C4—28no—
353C2×C4⋊C4—28no—
354C2×C4⋊C4—21no—
355C2×C4⋊C4—21no—
356C2×C4⋊C4—21no—
357C2×C4⋊C4—21no—
358C2×C4⋊C4—21no—
359C2×C4⋊C4—22no—
360C2×C4⋊C4—22no—
361C2×C4⋊C4—21no—
362C2×C4⋊C4—21no—
363C2×C4⋊C4—22no—
364C2×C4⋊C4—22no—
365C2×C4⋊C4—22no—
366C2×C4⋊C4—22no—
367C2×C4⋊C4C2412yes—
368C2×C4⋊C4C2412yes—
369C2×C4⋊C4C2412yes—
370C2×C4⋊C4C2414yes—
371C2×C4⋊C4C2414yes—
372C2×C22⋊C4—216no—
373C2×C22⋊C4—24no—
374C2×C22⋊C4—24no—
375C2×C22⋊C4—22no—
376C2×C22⋊C4—22no—
377C2×C22⋊C4—22no—
378C2×C22⋊C4—22no—
379C2×C22⋊C4—22no—
380C2×C22⋊C4—22no—
381C2×C42—216no—
382C2×C42—24no—
383C2×C42—24no—
384C2×C42—24no—
385C2×C42—24no—
386C2×C42—24no—
387C2×C42—24no—
388C2×C42—24no—
389C2×C42—24no—
390C2×C42—24no—
391C2×C42—24no—
392C2×C42—24no—
393C2×C42—24no—
394C2×C42—24no—
395C2×C42—22no—
396C2×C42—22no—
397C2×C42C2×D411yescharacteristic
398C2×C42C2×D411yescharacteristic
399C2×C42C2×D411yescharacteristic
400C2×C42C2×D411yescharacteristic
401C2×C42C2×D411yescharacteristic
402C2×C42C2×D411yescharacteristic
403C2×C42C2×D411yescharacteristic
404C2×C42C2×D411yescharacteristic
405C2×C42C2×D411yescharacteristic
406C2×C42C2×D411yescharacteristic
407C2×C42C2×D411yescharacteristic
408C2×C42C2×D411yescharacteristic
409C2×C42C2×D418yes—
410C2×C42C2411yescharacteristic
411C2×C42C2411yescharacteristic
412C2×C42C2411yescharacteristic
413C2×C42C2411yescharacteristic
414#107—216no—
415#106—216no—
416C4⋊C8—28no—
417#103—216no—
418#103—216no—
419C22⋊C8—28no—
420C22⋊C8—24no—
421C22⋊C8—24no—
422C22⋊C8—28no—
423C4×C8—24no—
424C4×C8—24no—
425#95—22no—
426#95—22no—
427#95—22no—
428#95—22no—
429#95—22no—
430#95—22no—
431#95—22no—
432#95—22no—
433#95—22no—
434#95—22no—
435C24—22no—
436C24—22no—
437C24—22no—
438C24—22no—
439C24—22no—
440C24—41no—
441C24—41no—
442C24C22×D411yescharacteristic
443C24C22×D411yescharacteristic
444C24C22×D411yescharacteristic
445C2×Q8—28no—
446C2×Q8—28no—
447C2×Q8—28no—
448C2×Q8—28no—
449C2×Q8—24no—
450C2×Q8—24no—
451C2×Q8—24no—
452C2×Q8—44no—
453C2×Q8—44no—
454C2×Q8—432no—
455C2×Q8—432no—
456C2×Q8—42no—
457C2×Q8—44no—
458C2×Q8—44no—
459C2×Q8—42no—
460C2×Q8—44no—
461C2×Q8—44no—
462C2×Q8—44no—
463C2×Q8—44no—
464C2×Q8—42no—
465C22×C4—232no—
466C22×C4—22no—
467C22×C4—22no—
468C22×C4—22no—
469C22×C4—22no—
470C22×C4—22no—
471C22×C4—22no—
472C22×C4—22no—
473C22×C4—22no—
474C22×C4—22no—
475C22×C4—22no—
476C22×C4—22no—
477C22×C4—22no—
478C22×C4—22no—
479C22×C4—22no—
480C22×C4—22no—
481C22×C4—22no—
482C22×C4—22no—
483C22×C4—22no—
484C22×C4—22no—
485C22×C4—22no—
486C22×C4—22no—
487C22×C4—22no—
488C22×C4—22no—
489C22×C4—28no—
490C22×C4—28no—
491C22×C4—22no—
492C22×C4—22no—
493C22×C4—22no—
494C22×C4—22no—
495C22×C4—24no—
496C22×C4—24no—
497C22×C4—22no—
498C22×C4—22no—
499C22×C4—22no—
500C22×C4—22no—
501C22×C4—22no—
502C22×C4—22no—
503C22×C4—22no—
504C22×C4—22no—
505C22×C4—22no—
506C22×C4—22no—
507C22×C4—22no—
508C22×C4—22no—
509C22×C4—22no—
510C22×C4—22no—
511C22×C4—22no—
512C22×C4—22no—
513C22×C4—22no—
514C22×C4—22no—
515C22×C4—41no—
516C22×C4—41no—
517C22×C4—41no—
518C22×C4—41no—
519C22×C4—41no—
520C22×C4—41no—
521C22×C4—416no—
522C22×C4—416no—
523C22×C4—44no—
524C22×C4—44no—
525C22×C4—44no—
526C22×C4—44no—
527C22×C4#12014yes—
528C22×C4#12014yes—
529C22×C4#13514yes—
530C22×C4#13714yes—
531C22×C4C22×D411yescharacteristic
532C22×C4C22×D411yescharacteristic
533C22×C4C22×D411yescharacteristic
534C22×C4C22×D411yescharacteristic
535C22×C4C22×D411yescharacteristic
536C22×C4C22×D414yes—
537C22×C4C22×D411yescharacteristic
538C22×C4C22×D411yescharacteristic
539C22×C4C22×D411yescharacteristic
540C22×C4C22×D411yescharacteristic
541C22×C4C22×D411yescharacteristic
542C22×C4C22×D411yescharacteristic
543C22×C42−1+414yes—
544C22×C42−1+414yes—
545C22×C4C2511yescharacteristic
546C2×C8—24no—
547C2×C8—24no—
548C2×C8—24no—
549C2×C8—24no—
550C2×C8—24no—
551C2×C8—24no—
552C4⋊C4—28no—
553C4⋊C4—28no—
554C4⋊C4—216no—
555C4⋊C4—216no—
556C4⋊C4—28no—
557C4⋊C4—28no—
558C4⋊C4—216no—
559C4⋊C4—216no—
560C4⋊C4—28no—
561C4⋊C4—28no—
562C4⋊C4—24no—
563C4⋊C4—24no—
564C4⋊C4—24no—
565C4⋊C4—24no—
566C4⋊C4—24no—
567C4⋊C4—44no—
568C4⋊C4—42no—
569C4⋊C4—42no—
570C4⋊C4—44no—
571C4⋊C4—44no—
572C4⋊C4—42no—
573C4⋊C4—44no—
574C4⋊C4—44no—
575C4⋊C4—42no—
576C4⋊C4—44no—
577C4⋊C4—42no—
578C4⋊C4—42no—
579C4⋊C4—42no—
580C4⋊C4C22×D418yes—
581C4⋊C4C22×D418yes—
582C22⋊C4—216no—
583C22⋊C4—216no—
584C22⋊C4—44no—
585C22⋊C4—44no—
586C22⋊C4—44no—
587C22⋊C4—44no—
588C22⋊C4—44no—
589C22⋊C4—44no—
590C42—216no—
591C42—22no—
592C42—22no—
593C42—22no—
594C42—22no—
595C42—22no—
596C42—22no—
597C42—22no—
598C42—22no—
599C42—22no—
600C42—22no—
601C42—216no—
602C42—22no—
603C42—22no—
604C42—44no—
605C42—44no—
606C42#12014yes—
607C42#12014yes—
608C42C22×D414yes—
609C42C22×D414yes—
610C23—21no—
611C23—21no—
612C23—21no—
613C23—21no—
614C23—28no—
615C23—21no—
616C23—21no—
617C23—21no—
618C23—21no—
619C23—21no—
620C23—21no—
621C23—21no—
622C23—21no—
623C23—21no—
624C23—21no—
625C23—21no—
626C23—21no—
627C23—44no—
628C23—44no—
629C23—44no—
630C23—44no—
631C23—44no—
632C23—44no—
633C23C2×#12012yes—
634C23#53612yes—
635C23#53612yes—
636C23C2×#13512yes—
637C23C2×#13712yes—
638C23C23×D411yescharacteristic
639Q8—416no—
640Q8—416no—
641Q8—416no—
642Q8—416no—
643Q8—48no—
644Q8—84no—
645C2×C4—28no—
646C2×C4—28no—
647C2×C4—28no—
648C2×C4—21no—
649C2×C4—21no—
650C2×C4—21no—
651C2×C4—21no—
652C2×C4—21no—
653C2×C4—21no—
654C2×C4—21no—
655C2×C4—21no—
656C2×C4—21no—
657C2×C4—21no—
658C2×C4—21no—
659C2×C4—21no—
660C2×C4—21no—
661C2×C4—21no—
662C2×C4—28no—
663C2×C4—28no—
664C2×C4—28no—
665C2×C4—28no—
666C2×C4—28no—
667C2×C4—28no—
668C2×C4—28no—
669C2×C4—21no—
670C2×C4—21no—
671C2×C4—28no—
672C2×C4—28no—
673C2×C4—21no—
674C2×C4—21no—
675C2×C4—21no—
676C2×C4—21no—
677C2×C4—44no—
678C2×C4—44no—
679C2×C4—44no—
680C2×C4—44no—
681C2×C4—44no—
682C2×C4—44no—
683C2×C4—416no—
684C2×C4—416no—
685C2×C4—44no—
686C2×C4—44no—
687C2×C4—44no—
688C2×C4—44no—
689C2×C4—44no—
690C2×C4—44no—
691C2×C4—42no—
692C2×C4—42no—
693C2×C4—42no—
694C2×C4—42no—
695C2×C4—42no—
696C2×C4—42no—
697C2×C4—42no—
698C2×C4—42no—
699C2×C4—42no—
700C2×C4—42no—
701C2×C4—42no—
702C2×C4—42no—
703C2×C4C2×#12012yes—
704C2×C4C2×#12012yes—
705C2×C4C2×#12012yes—
706C2×C4C2×#12012yes—
707C2×C4C2×#12012yes—
708C2×C4#53612yes—
709C2×C4#53612yes—
710C2×C4C2×#13512yes—
711C2×C4C2×#13512yes—
712C2×C4C2×#13712yes—
713C2×C4C2×#13712yes—
714C2×C4#57512yes—
715C2×C4#57512yes—
716C2×C4C23×D412yes—
717C2×C4C2×2−1+412yes—
718C2×C4C2×2−1+412yes—
719C8—44no—
720C8—44no—
721C22—22no—
722C22—22no—
723C22—22no—
724C22—22no—
725C22—22no—
726C22—22no—
727C22—22no—
728C22—22no—
729C22—22no—
730C22—22no—
731C22—22no—
732C22—22no—
733C22—416no—
734C22—41no—
735C22—41no—
736C22—41no—
737C22—41no—
738C22—41no—
739C22—41no—
740C22—41no—
741C22—41no—
742C22#323114yescomplemented
743C22C22×#12011yescharacteristic
744C22C2×#53611yescharacteristic
745C22C2×#53611yescharacteristic
746C22C22×#13511yescharacteristic
747C22C22×#13711yescharacteristic
748C22C2×#57511yescharacteristic
749C22C2×#57511yescharacteristic
750C4—22no—
751C4—22no—
752C4—22no—
753C4—22no—
754C4—22no—
755C4—22no—
756C4—22no—
757C4—41no—
758C4—48no—
759C4—41no—
760C4—48no—
761C4—82no—
762C4—82no—
763C4—82no—
764C4—82no—
765C4#300214yes—
766C4#300714yes—
767C4#348614yes—
768C2—24no—
769C2—42no—
770C2—42no—
771C2#3524211yescharacteristic
772C2C2×#300211yescharacteristic
773C2C2×#300711yescharacteristic
774C2C2×#323111yescharacteristic
775C2#6084611yescharacteristic
776C2#6086211yescharacteristic
777C2#6086511yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
prime radicalC25C2×D4
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C23×C42 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
2. C2×#3231C2semidirect
5. #29645C2semidirect
6. #25904C2semidirect
7. #25902C2semidirect
8. #25902C2semidirect
9. #25813C2semidirect
10. #25812C2semidirect
11. #25811C2semidirect
12. #24307C2semidirect
13. #24306C2semidirect
14. #21835C2semidirect
36. C2×#500C22semidirect
37. C2×#498C22semidirect
38. C2×#487C22semidirect
39. C2×#487C22semidirect
41. C2×#479C22semidirect
60. #2059C22semidirect
61. #2058C22semidirect
62. #2057C22semidirect
63. #2026C22semidirect
64. #2024C22semidirect
65. #2024C22semidirect
66. #1990C22semidirect
67. #1990C22semidirect
68. #1990C22semidirect
69. #1990C22semidirect
70. #1989C22semidirect
742. C22#3231semidirect

Maximal subgroups

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

subgroupindex
C22×#5332
C2×#32312
#366252
#329852
#296452
#259042
#259022
#258132
#258122
#258112
#243072
#243062
#218352
#207142