Finite Group Databasebeta

← #6373211

Subgroups — #6373211

Order 512.

2376 conjugacy classes of subgroups.

The subgroup lattice has 743 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3077C211yesmaximal, characteristic
2#34214C211yesmaximal, characteristic, complemented
3C4×#518C211yesmaximal, characteristic
4#21620C214yesmaximal, complemented
5#21619C214yesmaximal, complemented
6#21614C212yesmaximal, complemented
7#21613C212yesmaximal, complemented
8C4×#476C212yesmaximal, complemented
9C4×#474C212yesmaximal, complemented
10#21311C211yesmaximal, characteristic, complemented
11#21171C211yesmaximal, characteristic, complemented
12#21035C212yesmaximal, complemented
13#20876C212yesmaximal
14C2×#1802C211yesmaximal, characteristic
15#20453C212yesmaximal, complemented
16#20431C211yesmaximal, characteristic, complemented
17#20416C212yesmaximal
18C2×#533C2211yescharacteristic
19C2×#518C2211yescharacteristic
20C2×#518C2211yescharacteristic
21C22×C4×D4C2211yescharacteristic
22#3077C4116yescomplemented
23C2×#478C2214yes—
24C2×#476C2212yes—
25C2×#474C2212yes—
26C2×#428C2212yes—
27C2×#428C2212yes—
28C2×#423C2211yescharacteristic
29C22×C4⋊C8C2211yescharacteristic
30C2×#418C2212yes—
31C22×#102C2212yes—
32C2×#405C2212yes—
33#2360—22no—
34#2360—22no—
35#2355—21no—
36#2355—21no—
37Q8×C4⋊C4—21no—
38Q8×C4⋊C4—21no—
39#2330C2214yescomplemented
40#2317C2212yes—
41C4×C4⋊Q8C2212yescomplemented
42C4×C4⋊Q8C2212yescomplemented
43C2×#384C2211yescharacteristic
44#2275—21no—
45#2275—21no—
46#2275C2212yes—
47#2275C2212yes—
48#2274C2211yescharacteristic
49#2274C2212yes—
50#2274C2211yescharacteristic
51#2273—22no—
52C42×D4—21no—
53C42×D4—21no—
54C42×D4C2212yes—
55C42×D4C2212yes—
56C4×#117C2211yescharacteristic
57C4×#117C2211yescharacteristic
58C2×C4×C22⋊C4—22no—
59#1989C2212yescomplemented
60#1989C2212yescomplemented
61#1988C2211yescharacteristic, complemented
62#1988C2211yescharacteristic, complemented
63#1987C2211yescharacteristic, complemented
64#1987C2211yescharacteristic, complemented
65#1948C2212yescomplemented
66#1948C2212yescomplemented
67#1947C2212yescomplemented
68#1947C2212yescomplemented
69#1921C2214yescomplemented
70#1920C2214yescomplemented
71#1919C2214yescomplemented
72#1918C2214yescomplemented
73#1864C2214yes—
74#1864C2214yes—
75#1862C2214yes—
76#1862C2214yes—
77#1802C2212yes—
78#1802C2212yes—
79#1802C2214yes—
80#1776C2214yescomplemented
81#1776C2214yescomplemented
82C4×#107C2214yescomplemented
83C4×#106C2214yescomplemented
84#1768C2214yescomplemented
85#1767C2212yescomplemented
86C4×C4⋊C8C2212yescomplemented
87#1762C2214yes—
88#1762C2214yes—
89C4×#102C2214yes—
90C4×#102C2214yes—
91#1736C2212yes—
92#1735C2212yes—
93#1735C2212yes—
94C2×#340C2212yes—
95#1729C2212yes—
96C23×D4C2311yescharacteristic
97C24×C4—21no—
98C22×M16C2312yes—
99C23×C8C2312yes—
100#533—24no—
101#533C2×C418yescomplemented
102C2×C4⋊Q8C2311yescharacteristic
103C2×C4⋊Q8C2311yescharacteristic
104C2×#125C2312yes—
105C2×C22⋊Q8—21no—
106C2×C22⋊Q8—21no—
107#518—24no—
108#518—24no—
109#518—24no—
110#518Q818yescomplemented
111C2×C4×Q8—21no—
112C2×C4×Q8—21no—
113C2×C4×Q8—22no—
114C2×C4×Q8—22no—
115C2×C4×D4—21no—
116C2×C4×D4—21no—
117C2×C4×D4—21no—
118C2×C4×D4—21no—
119C2×C4×D4—21no—
120C2×C4×D4—21no—
121C2×C4×D4—24no—
122C2×C4×D4C2×C418yes—
123C2×C4×D4C2312yes—
124C2×C4×D4C2312yes—
125C2×C4×D4C2312yes—
126C2×C4×D4C2312yes—
127C2×C4×D4C2312yes—
128C2×C4×D4C2312yes—
129C2×#117C2312yes—
130C2×#117C2311yescharacteristic
131C2×#117C2311yescharacteristic
132C2×#117C2311yescharacteristic
133C2×#117C2311yescharacteristic
134C22×C4⋊C4—21no—
135C22×C4⋊C4—21no—
136C22×C4⋊C4C2312yes—
137C22×C4⋊C4C2311yescharacteristic
138C22×C22⋊C4—21no—
139C22×C22⋊C4—22no—
140C22×C22⋊C4—22no—
141C22×C42—22no—
142C22×C42—22no—
143C22×C42C2311yescharacteristic
144#478C2×C4132yescomplemented
145#476C2×C4116yescomplemented
146#474C2×C4116yescomplemented
147#428—28no—
148#428C2×C4116yescomplemented
149C2×#107C2314yes—
150C2×#107C2314yes—
151C2×#106C2314yes—
152C2×#106C2314yes—
153#423C2×C418yescomplemented
154C2×C4⋊C8—24no—
155C2×C4⋊C8C2311yescharacteristic
156C2×C4⋊C8C2311yescharacteristic
157C2×C4⋊C8C2312yes—
158C2×C4⋊C8C2312yes—
159C2×C4⋊C8C2312yes—
160#418C2×C4116yes—
161C2×#102—28no—
162C2×#102C2314yes—
163C2×#102C2314yes—
164C2×#102C2314yes—
165C2×#102C2314yes—
166#405—28no—
167C2×#97C2314yes—
168C2×C4×C8C2314yes—
169#391—22no—
170#391—22no—
171#389—22no—
172#389—22no—
173#389—24no—
174#389—24no—
175#389C2314yes—
176#389C2314yes—
177#387—24no—
178#387—24no—
179#385—24no—
180#384—22no—
181#384—21no—
182#384—21no—
183#384C2312yes—
184#384C2312yes—
185#382—22no—
186C4×C4⋊C4—22no—
187C4×C4⋊C4—22no—
188C4×C4⋊C4—21no—
189C4×C4⋊C4—21no—
190C4×C4⋊C4—21no—
191C4×C4⋊C4—21no—
192C4×C4⋊C4—22no—
193C4×C4⋊C4—22no—
194C4×C4⋊C4D411yescharacteristic
195C4×C4⋊C4D411yescharacteristic
196C4×C4⋊C4D411yescharacteristic
197C4×C4⋊C4D411yescharacteristic
198C4×C4⋊C4C2314yes—
199C4×C4⋊C4C2314yes—
200C4×C4⋊C4C2312yes—
201C4×C4⋊C4C2312yes—
202C4×C4⋊C4C2311yescharacteristic
203C4×C4⋊C4C2311yescharacteristic
204C4×C4⋊C4C2311yescharacteristic
205C4×C4⋊C4C2311yescharacteristic
206C4×C4⋊C4C2312yes—
207C4×C4⋊C4C2312yes—
208C4×C22⋊C4—21no—
209C4×C22⋊C4—21no—
210C4×C22⋊C4—24no—
211C4×C22⋊C4—22no—
212C4×C22⋊C4—22no—
213C4×C22⋊C4—22no—
214C4×C22⋊C4—22no—
215C4×C22⋊C4—22no—
216C4×C22⋊C4—22no—
217C4×C22⋊C4—22no—
218C4×C22⋊C4—22no—
219C4×C22⋊C4—22no—
220C4×C22⋊C4—22no—
221C4×C22⋊C4—22no—
222C4×C22⋊C4—22no—
223C4×C22⋊C4—22no—
224C4×C22⋊C4—22no—
225C4×C22⋊C4D412yes—
226C4×C22⋊C4D412yes—
227#376—21no—
228#376C2312yes—
229C2×#95—22no—
230C2×#95—22no—
231C43—21no—
232C43C2312yes—
233#340C2314yes—
234#340C2314yes—
235#340C2312yes—
236#340C2312yes—
237#340C2312yes—
238#340C2312yes—
239#340C2312yes—
240#340C2314yes—
241#340C2312yes—
242#340C2312yes—
243#340C2314yes—
244#340C2312yes—
245#336C2314yes—
246#336C2314yes—
247C25—21no—
248C22×Q8—21no—
249C22×Q8—21no—
250C22×D4—21no—
251C22×D4—22no—
252C22×D4—22no—
253C22×D4—22no—
254C22×D4C22×C414yes—
255C22×D4C2×Q814yes—
256C22×D4#4114yes—
257C22×D4C2412yes—
258C23×C4—21no—
259C23×C4—22no—
260C23×C4—28no—
261C23×C4—22no—
262C23×C4—22no—
263C23×C4—22no—
264C23×C4—22no—
265C23×C4—22no—
266C23×C4—22no—
267C23×C4—82no—
268C23×C4—82no—
269C23×C4C2×D411yescharacteristic
270C23×C4C2×D411yescharacteristic
271C23×C4C2411yescharacteristic
272C2×M16—24no—
273C2×M16—24no—
274C2×M16C22×C418yes—
275C22×C8—24no—
276C22×C8—24no—
277C22×C8—24no—
278C22×C8C2412yes—
279C22×C8C2412yes—
280C22×C8C2414yes—
281C4⋊Q8—22no—
282C4⋊Q8—22no—
283C4⋊Q8C22×C414yes—
284C4⋊Q8C22×C414yes—
285#125—24no—
286#125C22×C418yes—
287C22⋊Q8—28no—
288C22⋊Q8—28no—
289C4×Q8—28no—
290C4×Q8—28no—
291C4×Q8—84no—
292C4×Q8—84no—
293C4×D4—28no—
294C4×D4—28no—
295C4×D4—24no—
296C4×D4—24no—
297C4×D4—28no—
298C4×D4—28no—
299C4×D4—24no—
300C4×D4—24no—
301C4×D4—28no—
302C4×D4—28no—
303C4×D4—24no—
304C4×D4—24no—
305C4×D4—24no—
306C4×D4—24no—
307C4×D4C22×C418yes—
308C4×D4C22×C418yes—
309C4×D4C2×Q818yes—
310C4×D4C2×Q818yes—
311#117—22no—
312#117—22no—
313#117—22no—
314#117—22no—
315#117—24no—
316#117C22×C418yes—
317#117C2×Q814yes—
318#117C2×Q814yes—
319#117#4114yes—
320#117#4114yes—
321C2×C4⋊C4—21no—
322C2×C4⋊C4—22no—
323C2×C4⋊C4—22no—
324C2×C4⋊C4—21no—
325C2×C4⋊C4—21no—
326C2×C4⋊C4—22no—
327C2×C4⋊C4—24no—
328C2×C4⋊C4—24no—
329C2×C4⋊C4—22no—
330C2×C4⋊C4—22no—
331C2×C4⋊C4—22no—
332C2×C4⋊C4—22no—
333C2×C4⋊C4—22no—
334C2×C4⋊C4—24no—
335C2×C4⋊C4—24no—
336C2×C4⋊C4—82no—
337C2×C4⋊C4—82no—
338C2×C4⋊C4C22×C414yes—
339C2×C4⋊C4C2×D411yescharacteristic
340C2×C4⋊C4C2×D411yescharacteristic
341C2×C4⋊C4C2×D411yescharacteristic
342C2×C4⋊C4C2×D411yescharacteristic
343C2×C4⋊C4C2414yes—
344C2×C4⋊C4C2412yes—
345C2×C4⋊C4C2412yes—
346C2×C4⋊C4C2412yes—
347C2×C4⋊C4C2411yescharacteristic
348C2×C4⋊C4C2411yescharacteristic
349C2×C4⋊C4C2411yescharacteristic
350C2×C4⋊C4C2411yescharacteristic
351C2×C22⋊C4—216no—
352C2×C22⋊C4—21no—
353C2×C22⋊C4—21no—
354C2×C22⋊C4—22no—
355C2×C22⋊C4—28no—
356C2×C22⋊C4—22no—
357C2×C22⋊C4—22no—
358C2×C22⋊C4—22no—
359C2×C22⋊C4—22no—
360C2×C22⋊C4—22no—
361C2×C22⋊C4—22no—
362C2×C22⋊C4—216no—
363C2×C22⋊C4C2×D412yes—
364C2×C22⋊C4C2×D412yes—
365C2×C42—21no—
366C2×C42—21no—
367C2×C42—22no—
368C2×C42—21no—
369C2×C42—21no—
370C2×C42—24no—
371C2×C42—24no—
372C2×C42—21no—
373C2×C42—21no—
374C2×C42—22no—
375C2×C42—22no—
376C2×C42—22no—
377C2×C42—22no—
378C2×C42—84no—
379C2×C42—84no—
380C2×C42C22×C414yes—
381C2×C42C2×D412yes—
382C2×C42C2×D412yes—
383C2×C42C2×D412yes—
384C2×C42C2×D412yes—
385C2×C42C2×D411yescharacteristic
386C2×C42C2×D411yescharacteristic
387C2×C42#4114yes—
388C2×C42C2412yes—
389C2×C42C2411yescharacteristic
390C2×C42C2411yescharacteristic
391C2×C42C2412yes—
392#107—28no—
393#107C22×C4116yes—
394#106—28no—
395#106C22×C4116yes—
396C4⋊C8—24no—
397C4⋊C8—22no—
398C4⋊C8—22no—
399C4⋊C8C22×C418yes—
400C4⋊C8C22×C418yes—
401#102—28no—
402#102—28no—
403#102C22×C4116yes—
404#102C22×C4116yes—
405#97—28no—
406C4×C8—28no—
407#95—21no—
408#95—21no—
409#95—22no—
410#95—22no—
411#95—22no—
412#95—22no—
413#95—21no—
414#95—21no—
415#95—24no—
416#95—24no—
417#95—24no—
418#95—24no—
419#95C2×D412yes—
420#95C2×D412yes—
421#95C2×D412yes—
422#95C2×D412yes—
423C24—22no—
424C24—24no—
425C24—24no—
426C24—24no—
427C24—81no—
428C24—81no—
429C24—81no—
430C24—81no—
431C24C22×D411yescharacteristic
432C2×Q8—24no—
433C2×Q8—24no—
434C2×Q8—42no—
435C2×Q8—42no—
436C2×Q8—42no—
437C2×Q8—42no—
438C2×D4—24no—
439C2×D4—28no—
440C2×D4—24no—
441C2×D4—24no—
442C2×D4—28no—
443C2×D4—28no—
444C2×D4—22no—
445C2×D4—22no—
446C2×D4—22no—
447C2×D4C4×Q8116yescomplemented
448C2×D4C23×C414yes—
449C2×D4C22×Q814yes—
450C2×D4C2×#4114yes—
451C22×C4—22no—
452C22×C4—22no—
453C22×C4—21no—
454C22×C4—21no—
455C22×C4—21no—
456C22×C4—21no—
457C22×C4—22no—
458C22×C4—22no—
459C22×C4—22no—
460C22×C4—28no—
461C22×C4—28no—
462C22×C4—24no—
463C22×C4—28no—
464C22×C4—28no—
465C22×C4—28no—
466C22×C4—28no—
467C22×C4—24no—
468C22×C4—41no—
469C22×C4—41no—
470C22×C4—44no—
471C22×C4—44no—
472C22×C4—44no—
473C22×C4—816no—
474C22×C4—82no—
475C22×C4—82no—
476C22×C4—82no—
477C22×C4—82no—
478C22×C4—82no—
479C22×C4—82no—
480C22×C4—82no—
481C22×C4—82no—
482C22×C4—82no—
483C22×C4—82no—
484C22×C4—81no—
485C22×C4—81no—
486C22×C4—82no—
487C22×C4—82no—
488C22×C4C4×D414yes—
489C22×C4C4×D414yes—
490C22×C4C23×C412yes—
491C22×C4C22×D412yes—
492C22×C4C22×D412yes—
493C22×C4C22×D411yescharacteristic
494C22×C4C22×D411yescharacteristic
495C22×C4C22×D411yescharacteristic
496C22×C4C22×D412yes—
497C22×C4C22×D412yes—
498C22×C4C22×D411yescharacteristic
499C22×C4C22×D411yescharacteristic
500C22×C4C22×Q812yes—
501C22×C4C2×#4112yes—
502C22×C4C2×#4112yes—
503C22×C4C2×#4112yes—
504C22×C4C2×#4112yes—
505C22×C4C2511yescharacteristic
506M16—216no—
507C2×C8—24no—
508C2×C8—24no—
509C2×C8—22no—
510C2×C8—22no—
511C2×C8—22no—
512C2×C8—22no—
513C2×C8—22no—
514C2×C8—22no—
515C2×C8—48no—
516C2×C8C23×C418yes—
517C4⋊C4—24no—
518C4⋊C4—28no—
519C4⋊C4—28no—
520C4⋊C4—24no—
521C4⋊C4—24no—
522C4⋊C4—22no—
523C4⋊C4—22no—
524C4⋊C4—22no—
525C4⋊C4—21no—
526C4⋊C4—21no—
527C4⋊C4—21no—
528C4⋊C4—21no—
529C4⋊C4—22no—
530C4⋊C4—22no—
531C4⋊C4—24no—
532C4⋊C4—24no—
533C4⋊C4—44no—
534C4⋊C4—44no—
535C4⋊C4—44no—
536C4⋊C4—82no—
537C4⋊C4—82no—
538C4⋊C4—84no—
539C4⋊C4—84no—
540C4⋊C4C22⋊Q814yes—
541C4⋊C4C22⋊Q814yes—
542C4⋊C4C23×C414yes—
543C4⋊C4C23×C414yes—
544C4⋊C4C23×C414yes—
545C4⋊C4C22×Q812yes—
546C4⋊C4C22×Q812yes—
547C4⋊C4C2×#4112yes—
548C4⋊C4C2×#4112yes—
549C22⋊C4—28no—
550C22⋊C4—28no—
551C22⋊C4—28no—
552C22⋊C4—24no—
553C22⋊C4—24no—
554C22⋊C4—24no—
555C22⋊C4—28no—
556C22⋊C4—28no—
557C22⋊C4—28no—
558C22⋊C4—28no—
559C22⋊C4C22⋊Q818yes—
560C42—28no—
561C42—24no—
562C42—24no—
563C42—24no—
564C42—24no—
565C42—22no—
566C42—22no—
567C42—42no—
568C42—42no—
569C42—42no—
570C42—42no—
571C42—81no—
572C42—81no—
573C42—82no—
574C42—82no—
575C42—82no—
576C42—82no—
577C42—84no—
578C42—84no—
579C42C4×D414yes—
580C42C4×D414yes—
581C42C23×C412yes—
582C42C23×C412yes—
583C42C22×Q814yes—
584C42C2×#4112yes—
585C42C2×#4112yes—
586C42C2×#4114yes—
587C23—21no—
588C23—21no—
589C23—21no—
590C23—21no—
591C23—24no—
592C23—24no—
593C23—24no—
594C23—216no—
595C23—42no—
596C23—42no—
597C23—42no—
598C23—42no—
599C23—84no—
600C23—84no—
601C23—84no—
602C23—84no—
603C23—84no—
604C23—84no—
605C23C2×C4×D412yes—
606C23C2×C22⋊Q812yes—
607C23#52512yes—
608C23C23×D411yescharacteristic
609Q8—48no—
610Q8—48no—
611D4—24no—
612D4—24no—
613D4—24no—
614D4—216no—
615D4C2×C4×Q818yes—
616C2×C4—21no—
617C2×C4—22no—
618C2×C4—21no—
619C2×C4—21no—
620C2×C4—22no—
621C2×C4—21no—
622C2×C4—22no—
623C2×C4—21no—
624C2×C4—22no—
625C2×C4—21no—
626C2×C4—28no—
627C2×C4—22no—
628C2×C4—22no—
629C2×C4—24no—
630C2×C4—24no—
631C2×C4—24no—
632C2×C4—22no—
633C2×C4—22no—
634C2×C4—22no—
635C2×C4—22no—
636C2×C4—22no—
637C2×C4—22no—
638C2×C4—22no—
639C2×C4—22no—
640C2×C4—44no—
641C2×C4—42no—
642C2×C4—41no—
643C2×C4—41no—
644C2×C4—41no—
645C2×C4—41no—
646C2×C4—42no—
647C2×C4—41no—
648C2×C4—41no—
649C2×C4—42no—
650C2×C4—42no—
651C2×C4—41no—
652C2×C4—41no—
653C2×C4—42no—
654C2×C4—42no—
655C2×C4—416no—
656C2×C4—44no—
657C2×C4—44no—
658C2×C4—44no—
659C2×C4—88no—
660C2×C4—88no—
661C2×C4—88no—
662C2×C4—84no—
663C2×C4—88no—
664C2×C4—88no—
665C2×C4—164no—
666C2×C4C2×C4×D412yes—
667C2×C4C2×C4×D412yes—
668C2×C4C2×C4×D412yes—
669C2×C4C2×C4×D412yes—
670C2×C4C2×C4×D412yes—
671C2×C4C2×C4×Q814yes—
672C2×C4C4×#4114yes—
673C2×C4C2×C22⋊Q814yes—
674C2×C4C2×C22⋊Q814yes—
675C2×C4C2×C22⋊Q812yes—
676C2×C4#52512yes—
677C2×C4#52914yes—
678C2×C4#53314yes—
679C2×C4#57612yes—
680C2×C4#57712yes—
681C2×C4C24×C411yescharacteristic
682C2×C4C23×Q811yescharacteristic
683C2×C4C22×#4111yescharacteristic
684C2×C4C22×#4111yescharacteristic
685C2×C4C22×#4111yescharacteristic
686C2×C4C22×#4111yescharacteristic
687C8—28no—
688C8—42no—
689C8—42no—
690C22—22no—
691C22—22no—
692C22—22no—
693C22—22no—
694C22—22no—
695C22—22no—
696C22—28no—
697C22—44no—
698C22—44no—
699C22—44no—
700C22—44no—
701C22—44no—
702C22—44no—
703C22—816no—
704C22C4×C22⋊Q814yes—
705C22C22×C4×D411yescharacteristic
706C22C22×C22⋊Q811yescharacteristic
707C22C2×#52511yescharacteristic
708C22C2×#57611yescharacteristic
709C22C2×#57711yescharacteristic
710C22#358511yescharacteristic
711C22#358611yescharacteristic
712C4—22no—
713C4—22no—
714C4—24no—
715C4—24no—
716C4—22no—
717C4—44no—
718C4—42no—
719C4—42no—
720C4—42no—
721C4—42no—
722C4—42no—
723C4—42no—
724C4—44no—
725C4—44no—
726C4—84no—
727C4C4×C22⋊Q814yes—
728C4#294614yes—
729C4C22×C4×Q811yescharacteristic
730C4C2×C4×#4111yescharacteristic
731C4C2×#52911yescharacteristic
732C4C2×#53311yescharacteristic
733C2—24no—
734C2—48no—
735C2C2×C4×C22⋊Q811yescharacteristic
736C2C2×#294611yescharacteristic
737C2#6017011yescharacteristic
738C2#6049411yescharacteristic
739C2#6049511yescharacteristic
740C2#6059011yescharacteristic
741C2#6059111yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutatorC2×C4C24×C4
Frattini, cosocleC22×C4C25
prime radicalC23×D4C23
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C4×#117 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
2. #34214C2semidirect
4. #21620C2semidirect
5. #21619C2semidirect
6. #21614C2semidirect
7. #21613C2semidirect
8. C4×#476C2semidirect
9. C4×#474C2semidirect
10. #21311C2semidirect
11. #21171C2semidirect
12. #21035C2semidirect
15. #20453C2semidirect
16. #20431C2semidirect
22. #3077C4semidirect
39. #2330C22semidirect
41. C4×C4⋊Q8C22semidirect
42. C4×C4⋊Q8C22semidirect
59. #1989C22semidirect
60. #1989C22semidirect
61. #1988C22semidirect
62. #1988C22semidirect
63. #1987C22semidirect
64. #1987C22semidirect
65. #1948C22semidirect
66. #1948C22semidirect
67. #1947C22semidirect
68. #1947C22semidirect
69. #1921C22semidirect
70. #1920C22semidirect
71. #1919C22semidirect
72. #1918C22semidirect
80. #1776C22semidirect
81. #1776C22semidirect
82. C4×#107C22semidirect
83. C4×#106C22semidirect
84. #1768C22semidirect
85. #1767C22semidirect
86. C4×C4⋊C8C22semidirect
101. #533C2×C4semidirect
110. #518Q8semidirect
144. #478C2×C4semidirect
145. #476C2×C4semidirect
146. #474C2×C4semidirect
148. #428C2×C4semidirect
153. #423C2×C4semidirect
447. C2×D4C4×Q8semidirect

Maximal subgroups

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

subgroupindex
C2×#30772
#342142
C4×#5182
#216202
#216192
#216142
#216132
C4×#4762
C4×#4742
#213112
#211712
#210352
#208762
C2×#18022
#204532
#204312
#204162