Finite Group Databasebeta

← #6500552

Subgroups — #6500552

Order 512.

2226 conjugacy classes of subgroups.

The subgroup lattice has 759 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#2440C211yesmaximal, characteristic, complemented
2#34205C211yesmaximal, characteristic
3#29235C212yesmaximal, complemented
4#29235C212yesmaximal, complemented
5#27678C212yesmaximal, complemented
6#26410C214yesmaximal, complemented
7#26338C214yesmaximal, complemented
8#25990C214yesmaximal, complemented
9#25958C214yesmaximal, complemented
10#24299C212yesmaximal, complemented
11#21938C211yesmaximal, characteristic, complemented
12#21930C211yesmaximal, characteristic, complemented
13#21758C211yesmaximal, characteristic
14C2×#1874C211yesmaximal, characteristic
15C2×#1853C211yesmaximal, characteristic, complemented
16C22×C4⋊Q8C2211yescharacteristic, complemented
17C22×C22⋊Q8—21no—
18C22×#121C2211yescharacteristic
19C2×#518—21no—
20C23×C4⋊C4C2211yescharacteristic
21C2×#476C2214yescomplemented
22C22×#106C2212yescomplemented
23C22×#102C2212yes—
24C22×C22⋊C8C2211yescharacteristic
25C22×C22⋊C8C2211yescharacteristic
26#2440—22no—
27#2440—22no—
28#2440C2214yes—
29#2440C2214yescomplemented
30C2×#398—21no—
31C2×#395—21no—
32#2364—22no—
33#2361C2212yes—
34#2361C2212yes—
35#2344C2212yes—
36#2342—22no—
37D4×C22⋊C4C2212yes—
38#2325—21no—
39#2325—21no—
40#2308—21no—
41C4×#121C2212yes—
42C4×#121C2212yes—
43C2×#389C2211yescharacteristic, complemented
44C2×#389C2211yescharacteristic, complemented
45C2×#385—21no—
46C2×#384C2211yescharacteristic, complemented
47C2×#380C2211yescharacteristic
48C2×#380C2211yescharacteristic
49C2×C4×C22⋊C4C2211yescharacteristic
50#2100C2214yescomplemented
51#2094C2214yescomplemented
52#2088C2214yescomplemented
53#2088C2214yescomplemented
54#2065C2214yescomplemented
55#2065C2214yescomplemented
56#2058C2214yescomplemented
57#2023C2214yescomplemented
58#1987C2214yescomplemented
59#1948C2214yescomplemented
60#1920C2214yescomplemented
61#1920C2214yescomplemented
62#1893C2214yes—
63#1874C2212yes—
64#1874C2212yes—
65#1874C2214yes—
66#1874C2212yes—
67#1874C2212yes—
68#1864C2214yescomplemented
69#1864C2214yescomplemented
70#1853C2214yes—
71#1853C2212yescomplemented
72#1853C2212yescomplemented
73#1853C2212yescomplemented
74#1853C2212yescomplemented
75#1853C2212yescomplemented
76#1853C2212yescomplemented
77#1850C2214yes—
78#1850C2214yescomplemented
79#1823C2212yes—
80#1807C2214yes—
81#1802C2214yescomplemented
82#1797C2212yescomplemented
83#1797C2212yescomplemented
84#1786C2212yes—
85C2×#340C2212yes—
86C2×#340C2212yescomplemented
87C23×Q8—21no—
88C23×D4—21no—
89C23×D4C2311yescharacteristic
90C24×C4—21no—
91C24×C4C2311yescharacteristic
92C23×C8C2312yes—
93C23×C8C2312yes—
94C2×C4⋊Q8—22no—
95C2×C4⋊Q8—44no—
96C2×C4⋊Q8C2314yes—
97C2×C22⋊Q8—24no—
98C2×C22⋊Q8—24no—
99C2×C22⋊Q8—48no—
100C2×#121—21no—
101C2×#121—21no—
102C2×#121—24no—
103C2×#121Q818yescomplemented
104C2×#121C2312yes—
105C2×#121C2312yes—
106#518—48no—
107C2×C4×D4—22no—
108C2×C4×D4—22no—
109C2×C4×D4—22no—
110C2×C4×D4—22no—
111C2×C4×D4C2312yes—
112C2×C4×D4C2312yes—
113C2×#117—22no—
114C22×C4⋊C4—21no—
115C22×C4⋊C4—21no—
116C22×C4⋊C4—21no—
117C22×C4⋊C4—21no—
118C22×C4⋊C4—21no—
119C22×C4⋊C4—21no—
120C22×C4⋊C4—21no—
121C22×C4⋊C4—21no—
122C22×C4⋊C4—44no—
123C22×C4⋊C4C2311yescharacteristic
124C22×C4⋊C4C2312yes—
125C22×C4⋊C4C2312yes—
126C22×C4⋊C4C2311yescharacteristic
127C22×C4⋊C4C2311yescharacteristic
128C22×C4⋊C4C2311yescharacteristic
129C22×C4⋊C4C2311yescharacteristic
130C22×C4⋊C4C2311yescharacteristic
131C22×C4⋊C4C2311yescharacteristic
132C22×C22⋊C4—21no—
133C22×C22⋊C4—21no—
134C22×C22⋊C4—21no—
135C22×C22⋊C4—22no—
136C22×C22⋊C4D411yescharacteristic
137C22×C22⋊C4D411yescharacteristic
138C22×C42C2311yescharacteristic
139C22×C42C2311yescharacteristic
140#476—48no—
141C2×#106—44no—
142C2×#106C2314yes—
143C2×#106C2314yes—
144C2×#106C2314yes—
145C2×#106C2314yes—
146C2×C4⋊C8C2314yes—
147C2×C4⋊C8C2314yes—
148C2×#102—44no—
149C2×#102C2314yes—
150C2×#102C2314yes—
151C2×#102C2314yes—
152C2×#102C2314yes—
153C2×C22⋊C8—24no—
154C2×C22⋊C8—24no—
155C2×C22⋊C8C2312yes—
156C2×C22⋊C8C2312yes—
157C2×C22⋊C8C2312yes—
158C2×C22⋊C8C2312yes—
159#398—24no—
160#398—24no—
161#395—24no—
162#395—24no—
163#390C2312yes—
164#390C2312yes—
165#389—22no—
166#389—22no—
167#389C2312yes—
168#389C2314yes—
169#389C2314yes—
170#389C2312yes—
171#388—22no—
172#388—22no—
173#388—22no—
174#388—22no—
175#387—22no—
176#387—22no—
177#386—22no—
178#386—22no—
179#386—22no—
180#386—22no—
181#386—22no—
182#386—22no—
183#385—24no—
184#385—24no—
185#385—22no—
186#385—22no—
187#384—22no—
188#384C2314yes—
189#381—22no—
190#380—21no—
191#380—21no—
192#380—21no—
193#380—21no—
194#380C2312yes—
195#380C2312yes—
196#380C2312yes—
197#380C2312yes—
198#379—22no—
199C4×C4⋊C4C2312yes—
200C4×C4⋊C4C2312yes—
201C4×C22⋊C4—22no—
202C4×C22⋊C4—22no—
203C4×C22⋊C4D412yes—
204C4×C22⋊C4D412yes—
205C4×C22⋊C4C2312yes—
206C4×C22⋊C4C2312yes—
207C2×#95—21no—
208C2×#95—21no—
209C2×#95—21no—
210C2×#95—21no—
211C2×#95D411yescharacteristic
212C2×#95D411yescharacteristic
213#340C2314yes—
214#340C2314yes—
215#340C2314yes—
216#340C2314yes—
217#340C2314yes—
218#340C2314yes—
219#340C2314yes—
220#340C2314yes—
221#336C2314yes—
222#336C2314yes—
223C25—21no—
224C25C2×D411yescharacteristic
225C22×Q8—24no—
226C22×Q8—44no—
227C22×Q8—44no—
228C22×Q8—82no—
229C22×D4—28no—
230C22×D4—22no—
231C22×D4—22no—
232C22×D4—21no—
233C22×D4—22no—
234C22×D4—42no—
235C22×D4—42no—
236C22×D4—44no—
237C22×D4—44no—
238C22×D4C2×Q814yescomplemented
239C22×D4C2412yes—
240C23×C4—21no—
241C23×C4—21no—
242C23×C4—21no—
243C23×C4—21no—
244C23×C4—21no—
245C23×C4—22no—
246C23×C4—22no—
247C23×C4—21no—
248C23×C4—21no—
249C23×C4—22no—
250C23×C4—22no—
251C23×C4—42no—
252C23×C4—42no—
253C23×C4—44no—
254C23×C4—44no—
255C23×C4—82no—
256C23×C4C2×D411yescharacteristic
257C23×C4C2×D411yescharacteristic
258C23×C4C2×D411yescharacteristic
259C23×C4C2×D411yescharacteristic
260C23×C4C2×D411yescharacteristic
261C23×C4C2×D411yescharacteristic
262C23×C4C2×D411yescharacteristic
263C23×C4C2×Q814yes—
264C23×C4#4114yes—
265C23×C4C2411yescharacteristic
266C23×C4C2411yescharacteristic
267C23×C4C2411yescharacteristic
268C22×C8—24no—
269C22×C8—24no—
270C22×C8—42no—
271C22×C8—42no—
272C22×C8—42no—
273C22×C8—42no—
274C22×C8C2414yes—
275C22×C8C2414yes—
276C4⋊Q8—28no—
277C4⋊Q8—44no—
278C4⋊Q8—48no—
279C22⋊Q8—416no—
280C22⋊Q8—416no—
281#121—28no—
282#121—28no—
283#121—24no—
284#121—24no—
285#121C2×Q818yes—
286#121C2×Q818yescomplemented
287C4×D4—44no—
288C4×D4—44no—
289C4×D4—48no—
290C4×D4—48no—
291C4×D4—48no—
292C4×D4—48no—
293#117—48no—
294C2×C4⋊C4—21no—
295C2×C4⋊C4—21no—
296C2×C4⋊C4—22no—
297C2×C4⋊C4—24no—
298C2×C4⋊C4—24no—
299C2×C4⋊C4—24no—
300C2×C4⋊C4—21no—
301C2×C4⋊C4—22no—
302C2×C4⋊C4—22no—
303C2×C4⋊C4—24no—
304C2×C4⋊C4—24no—
305C2×C4⋊C4—24no—
306C2×C4⋊C4—24no—
307C2×C4⋊C4—21no—
308C2×C4⋊C4—21no—
309C2×C4⋊C4—22no—
310C2×C4⋊C4—22no—
311C2×C4⋊C4—24no—
312C2×C4⋊C4—21no—
313C2×C4⋊C4—21no—
314C2×C4⋊C4—42no—
315C2×C4⋊C4—42no—
316C2×C4⋊C4—42no—
317C2×C4⋊C4—42no—
318C2×C4⋊C4—42no—
319C2×C4⋊C4—42no—
320C2×C4⋊C4—42no—
321C2×C4⋊C4—44no—
322C2×C4⋊C4—44no—
323C2×C4⋊C4—44no—
324C2×C4⋊C4—44no—
325C2×C4⋊C4—44no—
326C2×C4⋊C4—44no—
327C2×C4⋊C4—44no—
328C2×C4⋊C4—82no—
329C2×C4⋊C4C2×Q814yescomplemented
330C2×C4⋊C4C2412yes—
331C2×C4⋊C4C2412yes—
332C2×C4⋊C4C2412yes—
333C2×C4⋊C4C2412yes—
334C2×C4⋊C4C2412yes—
335C2×C4⋊C4C2412yes—
336C2×C4⋊C4C2412yes—
337C2×C22⋊C4—24no—
338C2×C22⋊C4—28no—
339C2×C22⋊C4—22no—
340C2×C22⋊C4—22no—
341C2×C22⋊C4—22no—
342C2×C22⋊C4—22no—
343C2×C22⋊C4—22no—
344C2×C22⋊C4—22no—
345C2×C22⋊C4—22no—
346C2×C22⋊C4—22no—
347C2×C22⋊C4—22no—
348C2×C22⋊C4—22no—
349C2×C22⋊C4—22no—
350C2×C22⋊C4—22no—
351C2×C22⋊C4—44no—
352C2×C22⋊C4—44no—
353C2×C22⋊C4—48no—
354C2×C22⋊C4SD1618yes—
355C2×C22⋊C4C2×D412yes—
356C2×C22⋊C4C2×D412yes—
357C2×C22⋊C4C2×D412yes—
358C2×C22⋊C4C2×D412yes—
359C2×C42—22no—
360C2×C42—22no—
361C2×C42—42no—
362C2×C42—42no—
363C2×C42C2×D412yes—
364C2×C42C2×D412yes—
365C2×C42C2412yes—
366C2×C42C2412yes—
367#106—28no—
368#106—44no—
369#106—44no—
370#106—44no—
371C4⋊C8—44no—
372C4⋊C8—44no—
373#102—28no—
374#102—44no—
375#102—44no—
376#102—44no—
377C22⋊C8—24no—
378C22⋊C8—24no—
379C22⋊C8—24no—
380C22⋊C8—24no—
381#95—22no—
382#95—22no—
383#95—22no—
384#95—22no—
385#95—24no—
386#95—24no—
387#95—22no—
388#95—22no—
389#95—22no—
390#95—22no—
391#95C2×D412yes—
392#95C2×D412yes—
393#95C2×D412yes—
394#95C2×D412yes—
395C24—22no—
396C24—24no—
397C24—41no—
398C24—41no—
399C24—41no—
400C24—41no—
401C24—42no—
402C24—42no—
403C24—81no—
404C24—81no—
405C24—81no—
406C24—81no—
407C24C22⋊Q814yes—
408C24C2×SD1614yes—
409C24AGL(1,ℤ/8)14yes—
410C24C22×D411yescharacteristic
411C24C22×D411yescharacteristic
412C24C22×D411yescharacteristic
413C2×Q8—48no—
414C2×Q8—48no—
415C2×Q8—84no—
416C2×Q8—816no—
417C2×D4—28no—
418C2×D4—28no—
419C2×D4—24no—
420C2×D4—22no—
421C2×D4—24no—
422C2×D4—24no—
423C2×D4—48no—
424C2×D4—44no—
425C2×D4—44no—
426C2×D4—44no—
427C2×D4—44no—
428C2×D4—432no—
429C2×D4—84no—
430C2×D4—81no—
431C2×D4—81no—
432C2×D4C22×Q814yes—
433C22×C4—22no—
434C22×C4—22no—
435C22×C4—22no—
436C22×C4—22no—
437C22×C4—22no—
438C22×C4—22no—
439C22×C4—24no—
440C22×C4—24no—
441C22×C4—22no—
442C22×C4—22no—
443C22×C4—22no—
444C22×C4—22no—
445C22×C4—22no—
446C22×C4—22no—
447C22×C4—22no—
448C22×C4—22no—
449C22×C4—22no—
450C22×C4—48no—
451C22×C4—48no—
452C22×C4—41no—
453C22×C4—41no—
454C22×C4—41no—
455C22×C4—41no—
456C22×C4—41no—
457C22×C4—41no—
458C22×C4—41no—
459C22×C4—41no—
460C22×C4—41no—
461C22×C4—41no—
462C22×C4—41no—
463C22×C4—41no—
464C22×C4—41no—
465C22×C4—41no—
466C22×C4—44no—
467C22×C4—44no—
468C22×C4—42no—
469C22×C4—42no—
470C22×C4—42no—
471C22×C4—42no—
472C22×C4—42no—
473C22×C4—42no—
474C22×C4—42no—
475C22×C4—42no—
476C22×C4—42no—
477C22×C4—42no—
478C22×C4—42no—
479C22×C4—42no—
480C22×C4—42no—
481C22×C4—44no—
482C22×C4—44no—
483C22×C4—42no—
484C22×C4—42no—
485C22×C4—44no—
486C22×C4—44no—
487C22×C4—82no—
488C22×C4—82no—
489C22×C4—82no—
490C22×C4—82no—
491C22×C4—82no—
492C22×C4—82no—
493C22×C4—81no—
494C22×C4—81no—
495C22×C4—81no—
496C22×C4—81no—
497C22×C4—816no—
498C22×C4C22⋊Q814yes—
499C22×C4C22⋊Q814yes—
500C22×C4C22⋊Q814yes—
501C22×C4C2×SD1614yes—
502C22×C4C2×SD1614yes—
503C22×C4C22×D412yes—
504C22×C4C22×D412yes—
505C22×C4C22×D411yescharacteristic
506C22×C4C22×D411yescharacteristic
507C22×C4C22×D411yescharacteristic
508C22×C4C22×D412yes—
509C22×C4C22×D412yes—
510C22×C4C22×Q812yes—
511C22×C4C22×Q812yes—
512C22×C4C22×Q812yes—
513C22×C4C2×#4112yes—
514C22×C4C2×#4112yes—
515C22×C4C2×#4112yes—
516C22×C4C2511yescharacteristic
517C2×C8—24no—
518C2×C8—24no—
519C2×C8—24no—
520C2×C8—24no—
521C2×C8—24no—
522C2×C8—24no—
523C2×C8—48no—
524C2×C8—84no—
525C4⋊C4—24no—
526C4⋊C4—24no—
527C4⋊C4—22no—
528C4⋊C4—22no—
529C4⋊C4—22no—
530C4⋊C4—24no—
531C4⋊C4—24no—
532C4⋊C4—22no—
533C4⋊C4—24no—
534C4⋊C4—24no—
535C4⋊C4—44no—
536C4⋊C4—44no—
537C4⋊C4—48no—
538C4⋊C4—42no—
539C4⋊C4—42no—
540C4⋊C4—48no—
541C4⋊C4—48no—
542C4⋊C4—48no—
543C4⋊C4—42no—
544C4⋊C4—44no—
545C4⋊C4—44no—
546C4⋊C4—81no—
547C4⋊C4—81no—
548C4⋊C4—84no—
549C4⋊C4C22×Q814yes—
550C4⋊C4H(5,𝔽2)14yes—
551C22⋊C4—24no—
552C22⋊C4—24no—
553C22⋊C4—28no—
554C22⋊C4—28no—
555C22⋊C4—44no—
556C22⋊C4—44no—
557C22⋊C4—44no—
558C22⋊C4—44no—
559C22⋊C4—44no—
560C22⋊C4—44no—
561C22⋊C4—82no—
562C22⋊C4—82no—
563C22⋊C4—82no—
564C22⋊C4—82no—
565C22⋊C4C2×SD1618yes—
566C22⋊C4C2×SD1618yes—
567C42—24no—
568C42—24no—
569C42—42no—
570C42—42no—
571C42—44no—
572C42—44no—
573C23—21no—
574C23—21no—
575C23—21no—
576C23—21no—
577C23—21no—
578C23—21no—
579C23—21no—
580C23—21no—
581C23—21no—
582C23—21no—
583C23—21no—
584C23—21no—
585C23—24no—
586C23—44no—
587C23—44no—
588C23—44no—
589C23—44no—
590C23—44no—
591C23—44no—
592C23—42no—
593C23—42no—
594C23—42no—
595C23—42no—
596C23—42no—
597C23—42no—
598C23—48no—
599C23—84no—
600C23—84no—
601C23—162no—
602C23—162no—
603C23—162no—
604C23—162no—
605C23#476116yescomplemented
606C23C2×C22⋊Q812yes—
607C23C2×C22⋊Q812yes—
608C23C2×C22⋊Q812yes—
609C23C22×SD1612yes—
610C23C22×SD1612yes—
611C23C22×SD1612yes—
612C23C2×AGL(1,ℤ/8)12yes—
613C23C2×AGL(1,ℤ/8)12yes—
614C23C2×AGL(1,ℤ/8)12yes—
615C23C23×D411yescharacteristic
616Q8—816no—
617D4—28no—
618D4—416no—
619D4—416no—
620D4—44no—
621D4—84no—
622C2×C4—22no—
623C2×C4—22no—
624C2×C4—22no—
625C2×C4—21no—
626C2×C4—21no—
627C2×C4—21no—
628C2×C4—22no—
629C2×C4—21no—
630C2×C4—21no—
631C2×C4—21no—
632C2×C4—24no—
633C2×C4—24no—
634C2×C4—24no—
635C2×C4—24no—
636C2×C4—24no—
637C2×C4—24no—
638C2×C4—22no—
639C2×C4—22no—
640C2×C4—24no—
641C2×C4—22no—
642C2×C4—24no—
643C2×C4—22no—
644C2×C4—22no—
645C2×C4—22no—
646C2×C4—44no—
647C2×C4—44no—
648C2×C4—44no—
649C2×C4—44no—
650C2×C4—44no—
651C2×C4—44no—
652C2×C4—48no—
653C2×C4—44no—
654C2×C4—42no—
655C2×C4—42no—
656C2×C4—42no—
657C2×C4—42no—
658C2×C4—48no—
659C2×C4—42no—
660C2×C4—42no—
661C2×C4—42no—
662C2×C4—42no—
663C2×C4—42no—
664C2×C4—42no—
665C2×C4—42no—
666C2×C4—42no—
667C2×C4—42no—
668C2×C4—42no—
669C2×C4—42no—
670C2×C4—42no—
671C2×C4—42no—
672C2×C4—42no—
673C2×C4—42no—
674C2×C4—88no—
675C2×C4—88no—
676C2×C4—84no—
677C2×C4—84no—
678C2×C4—84no—
679C2×C4—164no—
680C2×C4—164no—
681C2×C4—162no—
682C2×C4—162no—
683C2×C4C2×C22⋊Q812yes—
684C2×C4C2×C22⋊Q812yes—
685C2×C4C2×C22⋊Q812yes—
686C2×C4C22×SD1614yes—
687C2×C4C22×SD1614yes—
688C2×C4C23×Q811yescharacteristic
689C2×C4C22×#4111yescharacteristic
690C2×C4C2×H(5,𝔽2)12yes—
691C2×C4#58512yes—
692C8—44no—
693C8—44no—
694C22—22no—
695C22—22no—
696C22—22no—
697C22—22no—
698C22—22no—
699C22—22no—
700C22—22no—
701C22—22no—
702C22—22no—
703C22—22no—
704C22—22no—
705C22—22no—
706C22—22no—
707C22—22no—
708C22—22no—
709C22—22no—
710C22—22no—
711C22—22no—
712C22—416no—
713C22—44no—
714C22—44no—
715C22—44no—
716C22—82no—
717C22—82no—
718C22—82no—
719C22—82no—
720C22—168no—
721C22C2×#47614yes—
722C22C2×#47614yes—
723C22C2×#47614yes—
724C22C22×C22⋊Q811yescharacteristic
725C22#348411yescharacteristic
726C22#348511yescharacteristic
727C22C23×SD1611yescharacteristic
728C22C22×AGL(1,ℤ/8)11yescharacteristic
729C22#358511yescharacteristic
730C22#358611yescharacteristic
731C4—24no—
732C4—22no—
733C4—22no—
734C4—22no—
735C4—24no—
736C4—42no—
737C4—44no—
738C4—42no—
739C4—44no—
740C4—82no—
741C4—82no—
742C4—82no—
743C4—82no—
744C4—82no—
745C4#350112yes—
746C4#350512yes—
747C2—24no—
748C2—24no—
749C2—24no—
750C2—84no—
751C2#3534911yescharacteristic
752C2C22×#47611yescharacteristic
753C2#6049311yescharacteristic
754C2#6156211yescharacteristic
755C2#6157111yescharacteristic
756C2#6169711yescharacteristic
757C2#6170611yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
prime radicalC22×#121C22
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C2×C4×C22⋊C4 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#2440C2semidirect
3. #29235C2semidirect
4. #29235C2semidirect
5. #27678C2semidirect
6. #26410C2semidirect
7. #26338C2semidirect
8. #25990C2semidirect
9. #25958C2semidirect
10. #24299C2semidirect
11. #21938C2semidirect
12. #21930C2semidirect
15. C2×#1853C2semidirect
16. C22×C4⋊Q8C22semidirect
21. C2×#476C22semidirect
22. C22×#106C22semidirect
29. #2440C22semidirect
43. C2×#389C22semidirect
44. C2×#389C22semidirect
46. C2×#384C22semidirect
50. #2100C22semidirect
51. #2094C22semidirect
52. #2088C22semidirect
53. #2088C22semidirect
54. #2065C22semidirect
55. #2065C22semidirect
56. #2058C22semidirect
57. #2023C22semidirect
58. #1987C22semidirect
59. #1948C22semidirect
60. #1920C22semidirect
61. #1920C22semidirect
68. #1864C22semidirect
69. #1864C22semidirect
71. #1853C22semidirect
72. #1853C22semidirect
73. #1853C22semidirect
74. #1853C22semidirect
75. #1853C22semidirect
76. #1853C22semidirect
78. #1850C22semidirect
81. #1802C22semidirect
82. #1797C22semidirect
83. #1797C22semidirect
86. C2×#340C22semidirect
103. C2×#121Q8semidirect
238. C22×D4C2×Q8semidirect
286. #121C2×Q8semidirect
329. C2×C4⋊C4C2×Q8semidirect
605. C23#476semidirect

Maximal subgroups

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

subgroupindex
C2×#24402
#342052
#292352
#276782
#264102
#263382
#259902
#259582
#242992
#219382
#219302
#217582
C2×#18742
C2×#18532