Finite Group Databasebeta

← #6386225

Subgroups — #6386225

Order 512.

3129 conjugacy classes of subgroups.

The subgroup lattice has 737 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3501C211yesmaximal, characteristic
2#34370C212yesmaximal, complemented
3#22513C214yesmaximal, complemented
4#22513C218yesmaximal, complemented
5Q8×#99C214yesmaximal, complemented
6#21827C214yesmaximal, complemented
7#21825C212yesmaximal, complemented
8#20724C212yesmaximal
9#20724C212yesmaximal
10#20722C211yesmaximal, characteristic
11#20722C211yesmaximal, characteristic
12#3501—24no—
13#3501—24no—
14#3501—24no—
15#3501—24no—
16C2×#554C412yescomplemented
17C2×#554C414yescomplemented
18C2×#554C2212yes—
19C2×#554C2214yes—
20C2×D4×Q8C412yescomplemented
21C2×D4×Q8C2212yes—
22C2×#544C412yescomplemented
23C2×#543C412yescomplemented
24C2×#543C2212yes—
25C2×#533C412yescomplemented
26C22×C22⋊Q8C412yescomplemented
27C22×C22⋊Q8C2211yescharacteristic
28C22×C22⋊Q8C2211yescharacteristic
29C2×#518C2212yes—
30C22×C4×D4C2211yescharacteristic
31#2378—24no—
32#2362—24no—
33#2345C2218yescomplemented
34#2345C2214yescomplemented
35Q8×C22⋊C4C2214yescomplemented
36#2332—24no—
37#2323—24no—
38#2312C2214yes—
39#2312C2214yes—
40#2280C2212yes—
41#2280C2212yes—
42#1996C2218yescomplemented
43#1996C2218yescomplemented
44#1996C22116yescomplemented
45#1996C22116yescomplemented
46#1819C2214yes—
47#1819C2214yes—
48#1819C2212yes—
49#1819C2212yes—
50#1799C2214yes—
51#1799C2218yes—
52#1799C2214yes—
53#1799C2218yes—
54#1781C2212yes—
55#1781C2211yescharacteristic
56#1781C2211yescharacteristic
57C4×#99C2214yes—
58C4×#99C2218yes—
59C4×#99C2214yes—
60C4×#99C2218yes—
61C23×Q8C2×C412yes—
62C23×Q8C2×C411yescharacteristic
63C23×Q8C2311yescharacteristic
64C23×D4C2311yescharacteristic
65C24×C4C2×C411yescharacteristic
66C24×C4C2311yescharacteristic
67#554—28no—
68#554—28no—
69#554—216no—
70#554—216no—
71#554—216no—
72#554—28no—
73#554—28no—
74#554—216no—
75D4×Q8—28no—
76D4×Q8—28no—
77D4×Q8—28no—
78D4×Q8—28no—
79#544—28no—
80#544—28no—
81#543—28no—
82#543—28no—
83#543—28no—
84#543—28no—
85#533—24no—
86#533—24no—
87#533—24no—
88#533—24no—
89C2×C4⋊Q8C2×C412yes—
90C2×C4⋊Q8C2×C412yes—
91C2×C4⋊Q8C2×C414yes—
92C2×C4⋊Q8C2×C414yes—
93C2×#125C2×C414yes—
94C2×#125C2×C414yes—
95C2×#125C2×C414yes—
96C2×C22⋊Q8—22no—
97C2×C22⋊Q8—22no—
98C2×C22⋊Q8—22no—
99C2×C22⋊Q8—22no—
100C2×C22⋊Q8—24no—
101C2×C22⋊Q8—24no—
102C2×C22⋊Q8—24no—
103C2×C22⋊Q8—24no—
104C2×C22⋊Q8C2×C412yes—
105C2×C22⋊Q8C2×C414yes—
106C2×C22⋊Q8C2×C412yes—
107C2×C22⋊Q8C2×C412yes—
108C2×C22⋊Q8C2×C414yes—
109C2×C22⋊Q8C2×C412yes—
110C2×C22⋊Q8C2×C414yes—
111C2×C22⋊Q8C2×C414yes—
112C2×C22⋊Q8C2×C414yes—
113C2×C22⋊Q8C2×C414yes—
114C2×C22⋊Q8C2×C414yes—
115C2×C22⋊Q8C2×C414yes—
116C2×C22⋊Q8C2×C414yes—
117C2×C22⋊Q8C2×C412yes—
118C2×C22⋊Q8C2×C412yes—
119C2×C22⋊Q8C2×C412yes—
120C2×C22⋊Q8C2×C412yes—
121C2×C22⋊Q8D414yes—
122C2×C22⋊Q8D414yes—
123C2×C22⋊Q8D414yes—
124C2×C22⋊Q8D414yes—
125C2×C22⋊Q8C2312yes—
126C2×C22⋊Q8C2312yes—
127C2×C22⋊Q8C2314yes—
128C2×C22⋊Q8C2314yes—
129#518—28no—
130#518—28no—
131C2×C4×Q8—24no—
132C2×C4×Q8C2×C412yes—
133C2×C4×Q8C2×C412yes—
134C2×C4×Q8C2×C414yes—
135C2×C4×D4—22no—
136C2×C4×D4—22no—
137C2×C4×D4—22no—
138C2×C4×D4—22no—
139C2×C4×D4C2×C412yes—
140C2×C4×D4C2×C412yes—
141C2×C4×D4C2×C414yes—
142C2×C4×D4C2×C414yes—
143C2×C4×D4C2312yes—
144C2×C4×D4C2312yes—
145C2×C4×D4C2314yes—
146C2×C4×D4C2314yes—
147C2×#117—22no—
148C2×#117—22no—
149C2×#117C2×C414yes—
150C22×C4⋊C4C2×C411yescharacteristic
151C22×C4⋊C4C2×C414yes—
152C22×C4⋊C4C2×C412yes—
153C22×C4⋊C4C2×C412yes—
154C22×C4⋊C4C2×C411yescharacteristic
155C22×C4⋊C4C2312yes—
156C22×C4⋊C4C2311yescharacteristic
157C22×C22⋊C4C2×C411yescharacteristic
158C22×C22⋊C4C2×C414yes—
159C22×C22⋊C4C2311yescharacteristic
160C22×C22⋊C4C2312yes—
161C22×C22⋊C4C2312yes—
162C22×C42C2×C411yescharacteristic
163C2×#99C2318yes—
164C2×#99C2314yes—
165C2×#99C2314yes—
166#391—24no—
167#391—28no—
168#389—24no—
169#389—28no—
170#388—28no—
171#388—28no—
172#388—28no—
173#388—28no—
174#387—28no—
175#387—28no—
176#387—28no—
177#381—22no—
178#381—22no—
179#380—22no—
180#380—22no—
181#380C2318yes—
182#380C2318yes—
183#380C2314yes—
184#380C2314yes—
185#379C2312yes—
186#379C2312yes—
187#379C2314yes—
188C4×C4⋊C4—24no—
189C4×C4⋊C4—28no—
190C4×C22⋊C4—22no—
191C4×C22⋊C4—22no—
192C4×C22⋊C4C2318yes—
193C4×C22⋊C4C2318yes—
194C4×C22⋊C4C2314yes—
195C4×C22⋊C4C2314yes—
196#342C2318yes—
197#342C23116yes—
198#342C2318yes—
199#342C23116yes—
200C25C22×C411yescharacteristic
201C25C2411yescharacteristic
202C22×Q8—24no—
203C22×Q8—24no—
204C22×Q8—22no—
205C22×Q8—22no—
206C22×Q8—82no—
207C22×Q8—82no—
208C22×Q8—84no—
209C22×Q8C22×C412yes—
210C22×Q8C22×C414yes—
211C22×Q8C22×C412yes—
212C22×Q8C22×C414yes—
213C22×Q8C22×C412yes—
214C22×Q8C22×C412yes—
215C22×Q8C2×D414yes—
216C22×Q8C2×D414yes—
217C22×D4—22no—
218C22×D4—22no—
219C22×D4—28no—
220C22×D4C22×C412yes—
221C22×D4C2412yes—
222C23×C4—21no—
223C23×C4—21no—
224C23×C4—21no—
225C23×C4—21no—
226C23×C4—82no—
227C23×C4—82no—
228C23×C4C22×C411yescharacteristic
229C23×C4C22×C412yes—
230C23×C4C22×C411yescharacteristic
231C23×C4C22×C414yes—
232C23×C4C22×C414yes—
233C23×C4C22×C412yes—
234C23×C4C22×C412yes—
235C23×C4C22×C411yescharacteristic
236C23×C4C22×C412yes—
237C23×C4C22×C411yescharacteristic
238C23×C4C22×C411yescharacteristic
239C23×C4C22×C411yescharacteristic
240C23×C4C22×C411yescharacteristic
241C23×C4C2×D412yes—
242C23×C4C2×D412yes—
243C23×C4C2×D412yes—
244C23×C4C2×D412yes—
245C23×C4C2411yescharacteristic
246C23×C4C2412yes—
247C23×C4C2412yes—
248C23×C4C2411yescharacteristic
249C4⋊Q8—24no—
250C4⋊Q8—24no—
251C4⋊Q8—216no—
252C4⋊Q8—24no—
253C4⋊Q8—24no—
254C4⋊Q8—216no—
255#125—28no—
256#125—28no—
257#125—216no—
258#125—216no—
259C22⋊Q8—24no—
260C22⋊Q8—24no—
261C22⋊Q8—216no—
262C22⋊Q8—22no—
263C22⋊Q8—22no—
264C22⋊Q8—22no—
265C22⋊Q8—22no—
266C22⋊Q8—24no—
267C22⋊Q8—24no—
268C22⋊Q8—24no—
269C22⋊Q8—24no—
270C22⋊Q8—24no—
271C22⋊Q8—24no—
272C22⋊Q8—216no—
273C22⋊Q8—216no—
274C22⋊Q8—24no—
275C22⋊Q8—24no—
276C22⋊Q8—28no—
277C22⋊Q8—28no—
278C22⋊Q8—216no—
279C22⋊Q8—216no—
280C22⋊Q8—216no—
281C22⋊Q8—28no—
282C22⋊Q8—28no—
283C22⋊Q8—28no—
284C22⋊Q8—28no—
285C22⋊Q8—216no—
286C22⋊Q8—216no—
287C22⋊Q8C22⋊C414yes—
288C22⋊Q8C22⋊C414yes—
289C22⋊Q8C22⋊C414yes—
290C22⋊Q8C22⋊C414yes—
291C22⋊Q8C22⋊C418yes—
292C22⋊Q8C22⋊C418yes—
293C22⋊Q8C22⋊C418yes—
294C22⋊Q8C22⋊C418yes—
295C22⋊Q8C22⋊C418yes—
296C22⋊Q8C22⋊C418yes—
297C4×Q8—24no—
298C4×Q8—24no—
299C4×Q8—24no—
300C4×Q8—24no—
301C4×Q8—28no—
302C4×Q8—28no—
303C4×Q8—88no—
304C4×D4—24no—
305C4×D4—24no—
306C4×D4—24no—
307C4×D4—24no—
308C4×D4—24no—
309C4×D4—24no—
310C4×D4—24no—
311C4×D4—24no—
312C4×D4—216no—
313C4×D4—216no—
314C4×D4—216no—
315C4×D4—216no—
316#117—28no—
317#117—28no—
318#117—84no—
319#117—84no—
320C2×C4⋊C4—22no—
321C2×C4⋊C4—22no—
322C2×C4⋊C4—24no—
323C2×C4⋊C4—24no—
324C2×C4⋊C4—22no—
325C2×C4⋊C4—22no—
326C2×C4⋊C4—28no—
327C2×C4⋊C4—28no—
328C2×C4⋊C4—24no—
329C2×C4⋊C4—24no—
330C2×C4⋊C4—24no—
331C2×C4⋊C4—24no—
332C2×C4⋊C4—28no—
333C2×C4⋊C4—28no—
334C2×C4⋊C4C22×C414yes—
335C2×C4⋊C4C22×C412yes—
336C2×C4⋊C4C22×C412yes—
337C2×C4⋊C4C22×C412yes—
338C2×C4⋊C4C22×C412yes—
339C2×C4⋊C4C22×C414yes—
340C2×C4⋊C4C22×C414yes—
341C2×C4⋊C4C22×C414yes—
342C2×C4⋊C4C22×C414yes—
343C2×C4⋊C4C22×C414yes—
344C2×C4⋊C4C22×C414yes—
345C2×C4⋊C4C22×C414yes—
346C2×C4⋊C4C22×C414yes—
347C2×C4⋊C4C22×C414yes—
348C2×C4⋊C4C22×C414yes—
349C2×C4⋊C4C22×C412yes—
350C2×C4⋊C4C22×C412yes—
351C2×C4⋊C4C22×C414yes—
352C2×C4⋊C4C2×D418yes—
353C2×C4⋊C4C2×D414yes—
354C2×C4⋊C4C2×D414yes—
355C2×C4⋊C4C2×D418yes—
356C2×C22⋊C4—22no—
357C2×C22⋊C4—22no—
358C2×C22⋊C4—24no—
359C2×C22⋊C4—24no—
360C2×C22⋊C4—22no—
361C2×C22⋊C4—22no—
362C2×C22⋊C4—28no—
363C2×C22⋊C4—28no—
364C2×C22⋊C4—22no—
365C2×C22⋊C4—22no—
366C2×C22⋊C4—24no—
367C2×C22⋊C4—24no—
368C2×C22⋊C4—22no—
369C2×C22⋊C4—22no—
370C2×C22⋊C4C22×C414yes—
371C2×C22⋊C4C22×C412yes—
372C2×C22⋊C4C22×C412yes—
373C2×C22⋊C4C22×C414yes—
374C2×C22⋊C4C22×C414yes—
375C2×C22⋊C4C22×C412yes—
376C2×C22⋊C4C22×C414yes—
377C2×C22⋊C4C22×C414yes—
378C2×C22⋊C4C2×D418yes—
379C2×C22⋊C4C2×D418yes—
380C2×C22⋊C4C2414yes—
381C2×C22⋊C4C2418yes—
382C2×C22⋊C4C2414yes—
383C2×C22⋊C4C2412yes—
384C2×C22⋊C4C2414yes—
385C2×C42—21no—
386C2×C42—21no—
387C2×C42—21no—
388C2×C42—21no—
389C2×C42—24no—
390C2×C42—24no—
391C2×C42—28no—
392C2×C42—28no—
393C2×C42C22×C414yes—
394C2×C42C22×C414yes—
395C2×C42C22×C412yes—
396C2×C42C22×C412yes—
397#99—216no—
398#99—28no—
399#99—28no—
400#95—24no—
401#95—24no—
402#95—24no—
403#95—24no—
404#95—28no—
405#95—28no—
406#95—28no—
407#95—28no—
408C24—21no—
409C24—21no—
410C24—24no—
411C24—24no—
412C24—81no—
413C24—81no—
414C24—81no—
415C24—81no—
416C24C23×C411yescharacteristic
417C24C23×C411yescharacteristic
418C24C23×C412yes—
419C24C22×D412yes—
420C24C22×D412yes—
421C24C2511yescharacteristic
422C2×Q8—22no—
423C2×Q8—22no—
424C2×Q8—28no—
425C2×Q8—24no—
426C2×Q8—28no—
427C2×Q8—48no—
428C2×Q8—44no—
429C2×Q8—44no—
430C2×Q8—84no—
431C2×Q8—82no—
432C2×Q8—84no—
433C2×Q8—82no—
434C2×Q8—84no—
435C2×Q8—84no—
436C2×Q8—88no—
437C2×Q8—84no—
438C2×Q8—88no—
439C2×Q8C2×C22⋊C414yes—
440C2×Q8C2×C22⋊C414yes—
441C2×Q8C2×C22⋊C418yes—
442C2×D4—216no—
443C2×D4—216no—
444C2×D4—24no—
445C2×D4—24no—
446C2×D4—24no—
447C2×D4—24no—
448C2×D4—24no—
449C2×D42−1+418yes—
450C22×C4—21no—
451C22×C4—21no—
452C22×C4—24no—
453C22×C4—21no—
454C22×C4—21no—
455C22×C4—24no—
456C22×C4—24no—
457C22×C4—21no—
458C22×C4—21no—
459C22×C4—22no—
460C22×C4—22no—
461C22×C4—28no—
462C22×C4—28no—
463C22×C4—22no—
464C22×C4—22no—
465C22×C4—24no—
466C22×C4—24no—
467C22×C4—28no—
468C22×C4—44no—
469C22×C4—44no—
470C22×C4—42no—
471C22×C4—42no—
472C22×C4—42no—
473C22×C4—44no—
474C22×C4—82no—
475C22×C4—82no—
476C22×C4—81no—
477C22×C4—81no—
478C22×C4—82no—
479C22×C4—82no—
480C22×C4—81no—
481C22×C4—82no—
482C22×C4—82no—
483C22×C4—82no—
484C22×C4—82no—
485C22×C4—82no—
486C22×C4—81no—
487C22×C4—84no—
488C22×C4—82no—
489C22×C4—81no—
490C22×C4—84no—
491C22×C4—82no—
492C22×C4C2×C22⋊C411yescharacteristic
493C22×C4C2×C22⋊C411yescharacteristic
494C22×C4C2×C22⋊C412yes—
495C22×C4C2×C22⋊C411yescharacteristic
496C22×C4C2×C22⋊C411yescharacteristic
497C22×C4C2×C22⋊C412yes—
498C22×C4C2×C22⋊C412yes—
499C22×C4C2×C22⋊C412yes—
500C22×C4C2×C22⋊C412yes—
501C22×C4C2×C22⋊C412yes—
502C22×C4C23×C411yescharacteristic
503C22×C4C23×C412yes—
504C22×C4C23×C412yes—
505C22×C4C23×C414yes—
506C22×C4C23×C414yes—
507C22×C4C23×C412yes—
508C22×C4C23×C411yescharacteristic
509C22×C4C23×C414yes—
510C22×C4C23×C414yes—
511C22×C4C23×C411yescharacteristic
512C22×C4C23×C411yescharacteristic
513C22×C4C22×D412yes—
514C22×C4C22×D412yes—
515C22×C4C22×D412yes—
516C22×C4C22×D418yes—
517C22×C4C22×D418yes—
518C22×C4C22×D412yes—
519C4⋊C4—24no—
520C4⋊C4—24no—
521C4⋊C4—22no—
522C4⋊C4—22no—
523C4⋊C4—24no—
524C4⋊C4—24no—
525C4⋊C4—24no—
526C4⋊C4—28no—
527C4⋊C4—28no—
528C4⋊C4—28no—
529C4⋊C4—28no—
530C4⋊C4—28no—
531C4⋊C4—28no—
532C4⋊C4—28no—
533C4⋊C4—28no—
534C4⋊C4—28no—
535C4⋊C4—48no—
536C4⋊C4—88no—
537C4⋊C4—84no—
538C4⋊C4—88no—
539C4⋊C4C2×C22⋊C418yes—
540C4⋊C4C2×C22⋊C418yes—
541C4⋊C4C2×C22⋊C414yes—
542C4⋊C4C2×C22⋊C414yes—
543C4⋊C4C2×C22⋊C418yes—
544C4⋊C4C2×C22⋊C4116yes—
545C22⋊C4—24no—
546C22⋊C4—24no—
547C22⋊C4—24no—
548C22⋊C4—24no—
549C22⋊C4—28no—
550C22⋊C4—24no—
551C22⋊C4—24no—
552C22⋊C4—28no—
553C22⋊C4—28no—
554C22⋊C4—28no—
555C22⋊C4—216no—
556C22⋊C4—28no—
557C22⋊C4—82no—
558C22⋊C4—84no—
559C22⋊C4—82no—
560C22⋊C4—82no—
561C22⋊C4—82no—
562C22⋊C4—84no—
563C22⋊C4C2×C22⋊C418yes—
564C22⋊C4C2×C22⋊C418yes—
565C22⋊C4C2×C22⋊C4116yes—
566C42—22no—
567C42—22no—
568C42—22no—
569C42—22no—
570C42—28no—
571C42—28no—
572C42—48no—
573C42—88no—
574C42—84no—
575C42—88no—
576C23—24no—
577C23—24no—
578C23—22no—
579C23—22no—
580C23—22no—
581C23—22no—
582C23—24no—
583C23—24no—
584C23—41no—
585C23—41no—
586C23—41no—
587C23—41no—
588C23—41no—
589C23—41no—
590C23—42no—
591C23—42no—
592C23—42no—
593C23—42no—
594C23—42no—
595C23—42no—
596C23—81no—
597C23—81no—
598C23—81no—
599C23—81no—
600C23—88no—
601C23—88no—
602C23C22×C22⋊C411yescharacteristic
603C23C22×C22⋊C411yescharacteristic
604C23C22×C22⋊C412yes—
605C23#51914yes—
606C23C24×C411yescharacteristic
607C23C23×D412yes—
608C23C2×2−1+414yes—
609Q8—28no—
610Q8—44no—
611Q8—48no—
612Q8—44no—
613Q8—44no—
614Q8—88no—
615Q8—84no—
616Q8—88no—
617D4—216no—
618D4—216no—
619C2×C4—24no—
620C2×C4—24no—
621C2×C4—22no—
622C2×C4—22no—
623C2×C4—24no—
624C2×C4—22no—
625C2×C4—22no—
626C2×C4—22no—
627C2×C4—24no—
628C2×C4—22no—
629C2×C4—24no—
630C2×C4—24no—
631C2×C4—22no—
632C2×C4—42no—
633C2×C4—48no—
634C2×C4—48no—
635C2×C4—42no—
636C2×C4—41no—
637C2×C4—41no—
638C2×C4—41no—
639C2×C4—42no—
640C2×C4—42no—
641C2×C4—42no—
642C2×C4—42no—
643C2×C4—42no—
644C2×C4—41no—
645C2×C4—41no—
646C2×C4—42no—
647C2×C4—44no—
648C2×C4—44no—
649C2×C4—44no—
650C2×C4—44no—
651C2×C4—42no—
652C2×C4—44no—
653C2×C4—44no—
654C2×C4—42no—
655C2×C4—44no—
656C2×C4—44no—
657C2×C4—48no—
658C2×C4—44no—
659C2×C4—48no—
660C2×C4—44no—
661C2×C4—44no—
662C2×C4—44no—
663C2×C4—48no—
664C2×C4—88no—
665C2×C4—82no—
666C2×C4—82no—
667C2×C4—88no—
668C2×C4—84no—
669C2×C4—81no—
670C2×C4—81no—
671C2×C4—81no—
672C2×C4—81no—
673C2×C4—84no—
674C2×C4C22×C22⋊C411yescharacteristic
675C2×C4C22×C22⋊C411yescharacteristic
676C2×C4C22×C22⋊C411yescharacteristic
677C2×C4C22×C22⋊C418yes—
678C2×C4C22×C22⋊C418yes—
679C2×C4C22×C22⋊C412yes—
680C2×C4C22×C22⋊C412yes—
681C2×C4C22×C22⋊C411yescharacteristic
682C2×C4#51914yes—
683C22—22no—
684C22—21no—
685C22—22no—
686C22—21no—
687C22—21no—
688C22—21no—
689C22—22no—
690C22—24no—
691C22—22no—
692C22—21no—
693C22—21no—
694C22—22no—
695C22—21no—
696C22—21no—
697C22—44no—
698C22—44no—
699C22—44no—
700C22—44no—
701C22—44no—
702C22—42no—
703C22—42no—
704C22—84no—
705C22—84no—
706C22—84no—
707C22—84no—
708C22C23×C22⋊C411yescharacteristic
709C22C2×#51912yes—
710C22#348614yes—
711C4—24no—
712C4—21no—
713C4—21no—
714C4—21no—
715C4—22no—
716C4—22no—
717C4—28no—
718C4—28no—
719C4—42no—
720C4—44no—
721C4—44no—
722C4—42no—
723C4—84no—
724C4—84no—
725C4—88no—
726C4#288312yes—
727C2—24no—
728C2—22no—
729C2—42no—
730C2—41no—
731C2—41no—
732C2—44no—
733C2#3417311yescharacteristic
734C2C2×#288311yescharacteristic
735C2#6007011yescharacteristic
subgroupG/H
center, socleC22C23×C22⋊C4
commutatorC23C24×C4
Frattini, cosocleC24C25
prime radicalC23×D4C23
LCSG ▷ C23 ▷ C2 ▷ C1
UCSC1 ◁ C22 ◁ C22×C22⋊Q8 ◁ G
LECSG ▷ C24 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
2. #34370C2semidirect
3. #22513C2semidirect
4. #22513C2semidirect
5. Q8×#99C2semidirect
6. #21827C2semidirect
7. #21825C2semidirect
16. C2×#554C4semidirect
17. C2×#554C4semidirect
20. C2×D4×Q8C4semidirect
22. C2×#544C4semidirect
23. C2×#543C4semidirect
25. C2×#533C4semidirect
26. C22×C22⋊Q8C4semidirect
33. #2345C22semidirect
34. #2345C22semidirect
35. Q8×C22⋊C4C22semidirect
42. #1996C22semidirect
43. #1996C22semidirect
44. #1996C22semidirect
45. #1996C22semidirect

Maximal subgroups

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

subgroupindex
C2×#35012
#343702
#225132
Q8×#992
#218272
#218252
#207242
#207222