Finite Group Databasebeta

← #6477446

Subgroups — #6477446

Order 512.

3510 conjugacy classes of subgroups.

The subgroup lattice has 760 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#554C211yesmaximal, characteristic, complemented
2C2×#3187C211yesmaximal, characteristic, complemented
3C22×#481C211yesmaximal, characteristic, complemented
4#35000C211yesmaximal, characteristic
5#33005C212yesmaximal, complemented
6#32979C212yesmaximal, complemented
7#29639C212yesmaximal, complemented
8#29593C212yesmaximal, complemented
9#25543C218yesmaximal, complemented
10#24097C214yesmaximal, complemented
11#23969C214yesmaximal, complemented
12#21759C211yesmaximal, characteristic, complemented
13#21738C211yesmaximal, characteristic, complemented
14C2×#1824C211yesmaximal, characteristic, complemented
15C2×#554—28no—
16C2×#554—22no—
17C2×#554—22no—
18C2×#554—28no—
19C2×#554C2214yes—
20C2×#554C2214yescomplemented
21C2×#534—21no—
22C22×C4⋊Q8C2211yescharacteristic, complemented
23C22×#125—21no—
24C22×C22⋊Q8—21no—
25C22×C22⋊Q8—21no—
26C22×C22⋊Q8C2211yescharacteristic
27C22×C22⋊Q8C2211yescharacteristic, complemented
28C22×#121C2211yescharacteristic
29C22×C4×Q8C2211yescharacteristic, complemented
30C22×C4×D4—21no—
31C22×C4×D4C2211yescharacteristic
32C23×C4⋊C4C2211yescharacteristic
33C23×C4⋊C4C2211yescharacteristic, complemented
34#3187—28no—
35C2×#481—28no—
36C2×#481C2212yes—
37C2×#481C2212yes—
38C2×#481C2212yes—
39C2×#481C2214yescomplemented
40C2×#483C2212yescomplemented
41C2×#465C2214yescomplemented
42C2×#448C2212yes—
43C2×#450C2212yescomplemented
44C22×#106C2212yescomplemented
45C22×#102C2212yescomplemented
46C22×C22⋊C8C2211yescharacteristic
47C22×C22⋊C8C2211yescharacteristic
48#2854C2212yes—
49#2847C2212yes—
50#2618—21no—
51#2617—21no—
52#2543—22no—
53#2534—22no—
54#2486C2212yes—
55#2416C2214yes—
56#2408C2212yes—
57#2308—21no—
58C2×#380C2211yescharacteristic
59#2058C2218yescomplemented
60#2035C2218yescomplemented
61#2023C2218yescomplemented
62#2000C2218yescomplemented
63#1892C2214yescomplemented
64#1880C2218yescomplemented
65#1874C2218yescomplemented
66#1872C2214yescomplemented
67#1869C2214yes—
68#1869C2214yescomplemented
69#1865C2218yescomplemented
70#1853C2218yescomplemented
71#1824C2214yescomplemented
72#1824C2212yescomplemented
73#1824C2212yescomplemented
74#1824C2212yescomplemented
75#1817C2212yescomplemented
76#1787C2212yescomplemented
77#1779C2212yescomplemented
78C2×#340C2214yescomplemented
79C23×Q8—21no—
80C23×Q8C2311yescharacteristic
81C23×D4—21no—
82C23×D4D411yescharacteristic
83C23×D4C2311yescharacteristic
84C24×C4—21no—
85C24×C4—21no—
86C24×C4C2311yescharacteristic
87C24×C4C2311yescharacteristic
88C22×SD16C2314yes—
89C23×C8C2312yes—
90C23×C8C2312yes—
91#554—232no—
92#554—232no—
93#554—216no—
94#554—216no—
95#554—216no—
96#554—216no—
97#534—48no—
98C2×C4⋊Q8—24no—
99C2×C4⋊Q8—24no—
100C2×C4⋊Q8—22no—
101C2×C4⋊Q8C2314yes—
102C2×#125—216no—
103C2×#125—24no—
104C2×#125—24no—
105C2×#123—22no—
106C2×#123—22no—
107C2×C22⋊Q8—216no—
108C2×C22⋊Q8—216no—
109C2×C22⋊Q8—24no—
110C2×C22⋊Q8—24no—
111C2×C22⋊Q8—21no—
112C2×C22⋊Q8—21no—
113C2×C22⋊Q8—22no—
114C2×C22⋊Q8—24no—
115C2×C22⋊Q8—24no—
116C2×C22⋊Q8—24no—
117C2×C22⋊Q8—24no—
118C2×C22⋊Q8—24no—
119C2×C22⋊Q8D418yescomplemented
120C2×C22⋊Q8C2314yes—
121C2×C22⋊Q8C2312yes—
122C2×C22⋊Q8C2312yes—
123C2×#121—24no—
124C2×#121—21no—
125C2×#121—21no—
126C2×#121—24no—
127C2×#121—24no—
128C2×#121C2312yes—
129C2×#121C2312yes—
130C2×#121C2314yes—
131C2×#120—22no—
132C2×#120—22no—
133C2×C4×Q8—24no—
134C2×C4×Q8—24no—
135C2×C4×Q8—22no—
136C2×C4×Q8C2314yes—
137C2×C4×D4—216no—
138C2×C4×D4—24no—
139C2×C4×D4—24no—
140C2×C4×D4—24no—
141C2×C4×D4—24no—
142C2×C4×D4D412yes—
143C2×C4×D4D412yes—
144C2×C4×D4C2312yes—
145C2×C4×D4C2312yes—
146C22×C4⋊C4—21no—
147C22×C4⋊C4—24no—
148C22×C4⋊C4—21no—
149C22×C4⋊C4—21no—
150C22×C4⋊C4—21no—
151C22×C4⋊C4—22no—
152C22×C4⋊C4—21no—
153C22×C4⋊C4—21no—
154C22×C4⋊C4—21no—
155C22×C4⋊C4—21no—
156C22×C4⋊C4—24no—
157C22×C4⋊C4—24no—
158C22×C4⋊C4D411yescharacteristic
159C22×C4⋊C4D418yescomplemented
160C22×C4⋊C4C2311yescharacteristic
161C22×C4⋊C4C2314yes—
162C22×C4⋊C4C2311yescharacteristic
163C22×C4⋊C4C2311yescharacteristic
164C22×C4⋊C4C2311yescharacteristic
165C22×C4⋊C4C2312yes—
166C22×C4⋊C4C2312yes—
167C22×C4⋊C4C2312yes—
168C22×C22⋊C4—21no—
169C22×C22⋊C4—21no—
170C22×C22⋊C4—21no—
171C22×C22⋊C4—21no—
172C22×C22⋊C4D411yescharacteristic
173C22×C22⋊C4D411yescharacteristic
174C22×C42—21no—
175C22×C42C2311yescharacteristic
176#483—28no—
177#481—28no—
178#481—28no—
179#481—216no—
180#481—28no—
181#465—216no—
182#450—28no—
183#448—28no—
184C2×#106—28no—
185C2×#106C2314yes—
186C2×#106C2314yes—
187C2×#106C2314yes—
188C2×#103C2314yes—
189C2×#103C2318yes—
190C2×#102—28no—
191C2×#102C2314yes—
192C2×#102C2314yes—
193C2×#102C2314yes—
194C2×C22⋊C8—24no—
195C2×C22⋊C8—24no—
196C2×C22⋊C8C2312yes—
197C2×C22⋊C8C2312yes—
198C2×C22⋊C8C2312yes—
199C2×C22⋊C8C2312yes—
200C2×C22⋊C8C2318yes—
201#398—22no—
202#397—22no—
203#396—24no—
204#394—22no—
205#394—24no—
206#392—22no—
207#390C2314yes—
208#389C2314yes—
209#388—24no—
210#386—22no—
211#386—22no—
212#386—24no—
213#386—24no—
214#381—22no—
215#380—21no—
216#380—21no—
217#380C2312yes—
218#380C2314yes—
219#380C2312yes—
220#379—22no—
221C2×#95—21no—
222#340C2318yes—
223#340C2318yes—
224#340C2318yes—
225#336C2318yes—
226C25—21no—
227C25C2×D411yescharacteristic
228C25C2×D411yescharacteristic
229C22×Q8—28no—
230C22×Q8—22no—
231C22×Q8—21no—
232C22×Q8—24no—
233C22×Q8—44no—
234C22×Q8—84no—
235C22×Q8C2×D414yes—
236C22×Q8C2412yes—
237C22×D4—24no—
238C22×D4—24no—
239C22×D4—22no—
240C22×D4—22no—
241C22×D4—24no—
242C22×D4—22no—
243C22×D4—22no—
244C22×D4—21no—
245C22×D4—44no—
246C22×D4—44no—
247C22×D4—44no—
248C22×D4—44no—
249C22×D4SD1618yescomplemented
250C22×D4C2×D412yes—
251C22×D4C2×D412yes—
252C22×D4C2412yes—
253C23×C4—21no—
254C23×C4—21no—
255C23×C4—21no—
256C23×C4—21no—
257C23×C4—28no—
258C23×C4—28no—
259C23×C4—24no—
260C23×C4—22no—
261C23×C4—22no—
262C23×C4—22no—
263C23×C4—22no—
264C23×C4—21no—
265C23×C4—22no—
266C23×C4—44no—
267C23×C4—44no—
268C23×C4—84no—
269C23×C4—84no—
270C23×C4C2×D411yescharacteristic
271C23×C4C2×D411yescharacteristic
272C23×C4C2×D411yescharacteristic
273C23×C4C2×D412yes—
274C23×C4C2×D411yescharacteristic
275C23×C4C2×D411yescharacteristic
276C23×C4C2×D411yescharacteristic
277C23×C4C2×D414yes—
278C23×C4C2×D414yes—
279C23×C4C2412yes—
280C23×C4C2411yescharacteristic
281C23×C4C2411yescharacteristic
282C23×C4C2411yescharacteristic
283C2×SD16—28no—
284C2×SD16—48no—
285C22×C8—24no—
286C22×C8—24no—
287C22×C8—44no—
288C22×C8—44no—
289C22×C8C2414yes—
290C22×C8C2414yes—
291C4⋊Q8—216no—
292C4⋊Q8—28no—
293C4⋊Q8—28no—
294#125—232no—
295#125—232no—
296#123—48no—
297#123—48no—
298C22⋊Q8—216no—
299C22⋊Q8—232no—
300C22⋊Q8—232no—
301C22⋊Q8—232no—
302C22⋊Q8—232no—
303C22⋊Q8—28no—
304C22⋊Q8—28no—
305C22⋊Q8—28no—
306C22⋊Q8—24no—
307C22⋊Q8—24no—
308C22⋊Q8—28no—
309C22⋊Q8C2×D418yes—
310C22⋊Q8C2×D418yes—
311#121—24no—
312#121—24no—
313#121—24no—
314#121—24no—
315#121—416no—
316#121—44no—
317#121—44no—
318#121—48no—
319#120—48no—
320#120—48no—
321C4×Q8—216no—
322C4×Q8—28no—
323C4×Q8—28no—
324C4×D4—232no—
325C4×D4—232no—
326C4×D4—28no—
327C4×D4—28no—
328C4×D4—24no—
329C4×D4—24no—
330C4×D4—24no—
331C4×D4—24no—
332C2×C4⋊C4—28no—
333C2×C4⋊C4—216no—
334C2×C4⋊C4—28no—
335C2×C4⋊C4—28no—
336C2×C4⋊C4—28no—
337C2×C4⋊C4—28no—
338C2×C4⋊C4—28no—
339C2×C4⋊C4—28no—
340C2×C4⋊C4—28no—
341C2×C4⋊C4—24no—
342C2×C4⋊C4—21no—
343C2×C4⋊C4—22no—
344C2×C4⋊C4—24no—
345C2×C4⋊C4—22no—
346C2×C4⋊C4—22no—
347C2×C4⋊C4—21no—
348C2×C4⋊C4—21no—
349C2×C4⋊C4—22no—
350C2×C4⋊C4—22no—
351C2×C4⋊C4—24no—
352C2×C4⋊C4—24no—
353C2×C4⋊C4—24no—
354C2×C4⋊C4—24no—
355C2×C4⋊C4—24no—
356C2×C4⋊C4—22no—
357C2×C4⋊C4—22no—
358C2×C4⋊C4—28no—
359C2×C4⋊C4—28no—
360C2×C4⋊C4—22no—
361C2×C4⋊C4—22no—
362C2×C4⋊C4—21no—
363C2×C4⋊C4—24no—
364C2×C4⋊C4—22no—
365C2×C4⋊C4—44no—
366C2×C4⋊C4C2×D412yes—
367C2×C4⋊C4C2×D412yes—
368C2×C4⋊C4C2×D414yes—
369C2×C4⋊C4C2×D414yes—
370C2×C4⋊C4C2×D414yes—
371C2×C4⋊C4C2×D418yes—
372C2×C4⋊C4C2×D418yes—
373C2×C4⋊C4C2412yes—
374C2×C4⋊C4C2414yes—
375C2×C4⋊C4C2412yes—
376C2×C4⋊C4C2412yes—
377C2×C4⋊C4C2412yes—
378C2×C22⋊C4—28no—
379C2×C22⋊C4—28no—
380C2×C22⋊C4—24no—
381C2×C22⋊C4—24no—
382C2×C22⋊C4—22no—
383C2×C22⋊C4—22no—
384C2×C22⋊C4—24no—
385C2×C22⋊C4—22no—
386C2×C22⋊C4—22no—
387C2×C22⋊C4—24no—
388C2×C22⋊C4—22no—
389C2×C22⋊C4—22no—
390C2×C22⋊C4—24no—
391C2×C22⋊C4—24no—
392C2×C22⋊C4—24no—
393C2×C22⋊C4—44no—
394C2×C22⋊C4—44no—
395C2×C22⋊C4C2×D412yes—
396C2×C22⋊C4C2×D412yes—
397C2×C22⋊C4C2×D412yes—
398C2×C22⋊C4C2×D412yes—
399C2×C42—28no—
400C2×C42—22no—
401C2×C42—22no—
402C2×C42—24no—
403C2×C42C2×D412yes—
404C2×C42C2412yes—
405#106—28no—
406#106—28no—
407#106—28no—
408#103—28no—
409#103—48no—
410#102—28no—
411#102—28no—
412#102—28no—
413C22⋊C8—24no—
414C22⋊C8—24no—
415C22⋊C8—24no—
416C22⋊C8—24no—
417C22⋊C8—48no—
418#95—22no—
419#95—22no—
420#95—24no—
421#95—24no—
422C24—22no—
423C24—22no—
424C24—22no—
425C24—42no—
426C24—42no—
427C24—42no—
428C24—42no—
429C24—42no—
430C24—42no—
431C24—42no—
432C24—82no—
433C24—82no—
434C24#12014yes—
435C24C2×SD1614yes—
436C24C2×SD1614yes—
437C24#13714yes—
438C24C22×D412yes—
439C24C22×D411yescharacteristic
440C24C22×D411yescharacteristic
441C24C22×D411yescharacteristic
442C2×Q8—216no—
443C2×Q8—24no—
444C2×Q8—22no—
445C2×Q8—28no—
446C2×Q8—48no—
447C2×Q8—44no—
448C2×Q8—48no—
449C2×Q8—88no—
450C2×Q8—816no—
451C2×Q8C22×D414yes—
452C2×D4—24no—
453C2×D4—24no—
454C2×D4—24no—
455C2×D4—24no—
456C2×D4—232no—
457C2×D4—22no—
458C2×D4—22no—
459C2×D4—28no—
460C2×D4—48no—
461C2×D4—44no—
462C2×D4—44no—
463C2×D4—44no—
464C2×D4—44no—
465C2×D4—44no—
466C2×D4—44no—
467C2×D4—48no—
468C2×D4—42no—
469C2×D4—84no—
470C2×D4—82no—
471C2×D4—84no—
472C2×D4—84no—
473C2×D4—816no—
474C2×D4C2×SD1618yes—
475C2×D4C2×SD1618yes—
476C22×C4—22no—
477C22×C4—22no—
478C22×C4—24no—
479C22×C4—24no—
480C22×C4—24no—
481C22×C4—24no—
482C22×C4—22no—
483C22×C4—24no—
484C22×C4—22no—
485C22×C4—24no—
486C22×C4—24no—
487C22×C4—22no—
488C22×C4—22no—
489C22×C4—22no—
490C22×C4—22no—
491C22×C4—216no—
492C22×C4—28no—
493C22×C4—28no—
494C22×C4—24no—
495C22×C4—22no—
496C22×C4—22no—
497C22×C4—28no—
498C22×C4—24no—
499C22×C4—22no—
500C22×C4—48no—
501C22×C4—48no—
502C22×C4—42no—
503C22×C4—42no—
504C22×C4—42no—
505C22×C4—44no—
506C22×C4—42no—
507C22×C4—42no—
508C22×C4—48no—
509C22×C4—48no—
510C22×C4—44no—
511C22×C4—44no—
512C22×C4—44no—
513C22×C4—44no—
514C22×C4—42no—
515C22×C4—42no—
516C22×C4—42no—
517C22×C4—44no—
518C22×C4—84no—
519C22×C4—84no—
520C22×C4—88no—
521C22×C4—816no—
522C22×C4—816no—
523C22×C4—82no—
524C22×C4—82no—
525C22×C4#12014yes—
526C22×C4#12014yes—
527C22×C4#12014yes—
528C22×C4C2×SD1614yes—
529C22×C4C22×D412yes—
530C22×C4C22×D412yes—
531C22×C4C22×D411yescharacteristic
532C22×C4C22×D411yescharacteristic
533C22×C4C22×D411yescharacteristic
534C22×C4C22×D412yes—
535C22×C4C22×D412yes—
536C22×C4C22×D412yes—
537C22×C4C22×D412yes—
538C22×C4C22×D412yes—
539C22×C4C22×D412yes—
540C22×C4C22×D412yes—
541C22×C4C2511yescharacteristic
542SD16—88no—
543C2×C8—24no—
544C2×C8—24no—
545C2×C8—28no—
546C2×C8—28no—
547C2×C8—48no—
548C2×C8—84no—
549C4⋊C4—216no—
550C4⋊C4—216no—
551C4⋊C4—216no—
552C4⋊C4—216no—
553C4⋊C4—24no—
554C4⋊C4—28no—
555C4⋊C4—28no—
556C4⋊C4—24no—
557C4⋊C4—24no—
558C4⋊C4—28no—
559C4⋊C4—28no—
560C4⋊C4—24no—
561C4⋊C4—24no—
562C4⋊C4—22no—
563C4⋊C4—22no—
564C4⋊C4—22no—
565C4⋊C4—22no—
566C4⋊C4—22no—
567C4⋊C4—28no—
568C4⋊C4—42no—
569C4⋊C4—48no—
570C4⋊C4—82no—
571C4⋊C4C22×D414yes—
572C4⋊C4C22×D414yes—
573C4⋊C4C22×D414yes—
574C22⋊C4—216no—
575C22⋊C4—28no—
576C22⋊C4—28no—
577C22⋊C4—24no—
578C22⋊C4—24no—
579C22⋊C4—24no—
580C22⋊C4—24no—
581C22⋊C4—44no—
582C22⋊C4—44no—
583C22⋊C4—48no—
584C22⋊C4—44no—
585C22⋊C4—44no—
586C22⋊C4—48no—
587C22⋊C4—84no—
588C22⋊C4—84no—
589C42—216no—
590C42—24no—
591C42—22no—
592C42—22no—
593C23—22no—
594C23—22no—
595C23—22no—
596C23—22no—
597C23—22no—
598C23—22no—
599C23—24no—
600C23—22no—
601C23—24no—
602C23—28no—
603C23—22no—
604C23—44no—
605C23—44no—
606C23—48no—
607C23—48no—
608C23—48no—
609C23—44no—
610C23—44no—
611C23—48no—
612C23—44no—
613C23—42no—
614C23—44no—
615C23—42no—
616C23—42no—
617C23—84no—
618C23—84no—
619C23—84no—
620C23—164no—
621C23—164no—
622C23#448116yes—
623C23C2×#12012yes—
624C23C2×#12012yes—
625C23C2×#12012yes—
626C23C22×SD1614yes—
627C23C22×SD1612yes—
628C23C22×SD1612yes—
629C23C22×SD1612yes—
630C23C2×#13712yes—
631C23C2×#13712yes—
632C23C2×#13712yes—
633C23C23×D411yescharacteristic
634Q8—28no—
635Q8—48no—
636Q8—44no—
637Q8—816no—
638D4—216no—
639D4—216no—
640D4—44no—
641D4—44no—
642D4—84no—
643D4—88no—
644D4—88no—
645D4—168no—
646C2×C4—22no—
647C2×C4—22no—
648C2×C4—22no—
649C2×C4—22no—
650C2×C4—28no—
651C2×C4—22no—
652C2×C4—24no—
653C2×C4—24no—
654C2×C4—24no—
655C2×C4—24no—
656C2×C4—24no—
657C2×C4—24no—
658C2×C4—24no—
659C2×C4—24no—
660C2×C4—22no—
661C2×C4—24no—
662C2×C4—22no—
663C2×C4—24no—
664C2×C4—24no—
665C2×C4—24no—
666C2×C4—44no—
667C2×C4—44no—
668C2×C4—44no—
669C2×C4—48no—
670C2×C4—44no—
671C2×C4—48no—
672C2×C4—48no—
673C2×C4—48no—
674C2×C4—48no—
675C2×C4—44no—
676C2×C4—44no—
677C2×C4—44no—
678C2×C4—44no—
679C2×C4—44no—
680C2×C4—44no—
681C2×C4—44no—
682C2×C4—44no—
683C2×C4—42no—
684C2×C4—44no—
685C2×C4—44no—
686C2×C4—42no—
687C2×C4—42no—
688C2×C4—88no—
689C2×C4—88no—
690C2×C4—816no—
691C2×C4—84no—
692C2×C4—164no—
693C2×C4C2×#12012yes—
694C2×C4C2×#12012yes—
695C2×C4C2×#12012yes—
696C2×C4C22×SD1614yes—
697C2×C4C23×D411yescharacteristic
698C2×C4C23×D411yescharacteristic
699C2×C4#58514yes—
700C8—44no—
701C8—44no—
702C22—24no—
703C22—24no—
704C22—24no—
705C22—24no—
706C22—24no—
707C22—24no—
708C22—22no—
709C22—22no—
710C22—22no—
711C22—22no—
712C22—22no—
713C22—22no—
714C22—28no—
715C22—24no—
716C22—416no—
717C22—416no—
718C22—44no—
719C22—42no—
720C22—42no—
721C22—84no—
722C22—84no—
723C22—82no—
724C22—82no—
725C22—82no—
726C22—168no—
727C22C2×#44814yes—
728C22C2×#44814yes—
729C22C2×#44814yes—
730C22C22×#12011yescharacteristic
731C22#348512yes—
732C22C23×SD1611yescharacteristic
733C22C22×#13711yescharacteristic
734C22#358512yes—
735C4—22no—
736C4—22no—
737C4—22no—
738C4—24no—
739C4—42no—
740C4—44no—
741C4—42no—
742C4—44no—
743C4—44no—
744C4—44no—
745C4—84no—
746C4—82no—
747C4#344912yes—
748C4#348512yes—
749C2—24no—
750C2—24no—
751C2—24no—
752C2—44no—
753C2—162no—
754C2#3508811yescharacteristic
755C2C22×#44811yescharacteristic
756C2#6036711yescharacteristic
757C2#6169712yes—
758C2#6170912yes—
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
prime radical#35000C2
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
1. C22×#554C2semidirect
2. C2×#3187C2semidirect
3. C22×#481C2semidirect
5. #33005C2semidirect
6. #32979C2semidirect
7. #29639C2semidirect
8. #29593C2semidirect
9. #25543C2semidirect
10. #24097C2semidirect
11. #23969C2semidirect
12. #21759C2semidirect
13. #21738C2semidirect
14. C2×#1824C2semidirect
20. C2×#554C22semidirect
22. C22×C4⋊Q8C22semidirect
27. C22×C22⋊Q8C22semidirect
29. C22×C4×Q8C22semidirect
33. C23×C4⋊C4C22semidirect
39. C2×#481C22semidirect
40. C2×#483C22semidirect
41. C2×#465C22semidirect
43. C2×#450C22semidirect
44. C22×#106C22semidirect
45. C22×#102C22semidirect
59. #2058C22semidirect
60. #2035C22semidirect
61. #2023C22semidirect
62. #2000C22semidirect
63. #1892C22semidirect
64. #1880C22semidirect
65. #1874C22semidirect
66. #1872C22semidirect
68. #1869C22semidirect
69. #1865C22semidirect
70. #1853C22semidirect
71. #1824C22semidirect
72. #1824C22semidirect
73. #1824C22semidirect
74. #1824C22semidirect
75. #1817C22semidirect
76. #1787C22semidirect
77. #1779C22semidirect
78. C2×#340C22semidirect
119. C2×C22⋊Q8D4semidirect
159. C22×C4⋊C4D4semidirect
249. C22×D4SD16semidirect

Maximal subgroups

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

subgroupindex
C22×#5542
C2×#31872
C22×#4812
#350002
#330052
#329792
#296392
#295932
#255432
#240972
#239692
#217592
#217382
C2×#18242