Finite Group Databasebeta

← #362729

Subgroups — #362729

Order 512.

2840 conjugacy classes of subgroups.

The subgroup lattice has 736 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#554C211yesmaximal, characteristic
2C2×#1996C212yesmaximal, complemented
3C2×#1799C211yesmaximal, characteristic
4C2×C4×#99C211yesmaximal, characteristic
5#13923C212yesmaximal, complemented
6#11381C212yesmaximal, complemented
7#11381C212yesmaximal, complemented
8#10761C212yesmaximal
9#10761C212yesmaximal
10C2×#554—28no—
11C2×#554—24no—
12C2×#554—24no—
13C2×#554—24no—
14C2×#554—24no—
15C22×C4⋊Q8C411yescharacteristic, complemented
16C22×#125C411yescharacteristic, complemented
17C22×#125C411yescharacteristic, complemented
18C22×C22⋊Q8C411yescharacteristic, complemented
19C22×C22⋊Q8C411yescharacteristic, complemented
20C22×C22⋊Q8C411yescharacteristic, complemented
21C22×C22⋊Q8C2211yescharacteristic
22C22×C22⋊Q8C2211yescharacteristic
23C22×C22⋊Q8C2211yescharacteristic
24C22×C4×Q8C411yescharacteristic, complemented
25C22×C4×D4C2211yescharacteristic
26C22×C4×D4C2211yescharacteristic
27C22×C4×D4C2211yescharacteristic
28C23×C4⋊C4C411yescharacteristic, complemented
29C23×C4⋊C4C2211yescharacteristic
30C22×#99C2212yes—
31C22×#99C2212yes—
32C2×#380C2212yes—
33C2×C4×C22⋊C4C2212yes—
34#1996—28no—
35#1799—24no—
36C4×#99—24no—
37C2×#342C2214yes—
38C2×#342C2214yes—
39C2×#342C2212yes—
40C2×#342C2212yes—
41#1441—24no—
42#1436—24no—
43C22⋊#95C2214yes—
44C22⋊#95C2214yes—
45C23×Q8C2×C411yescharacteristic
46C23×Q8C2×C411yescharacteristic
47C23×Q8C2×C411yescharacteristic
48C23×D4C2311yescharacteristic
49C24×C4C2×C411yescharacteristic
50C24×C4C2×C411yescharacteristic
51C24×C4C2×C411yescharacteristic
52C24×C4C2311yescharacteristic
53C24×C4C2311yescharacteristic
54C24×C4C2311yescharacteristic
55#554—232no—
56#554—232no—
57#554—232no—
58#554—232no—
59C2×C4⋊Q8—24no—
60C2×C4⋊Q8—24no—
61C2×C4⋊Q8—24no—
62C2×#125—24no—
63C2×#125—24no—
64C2×#125—24no—
65C2×#125—24no—
66C2×#125—22no—
67C2×#125—22no—
68C2×#125—24no—
69C2×C22⋊Q8—24no—
70C2×C22⋊Q8—24no—
71C2×C22⋊Q8—24no—
72C2×C22⋊Q8—22no—
73C2×C22⋊Q8—22no—
74C2×C22⋊Q8—22no—
75C2×C22⋊Q8—22no—
76C2×C22⋊Q8—24no—
77C2×C22⋊Q8—24no—
78C2×C22⋊Q8—24no—
79C2×C22⋊Q8—22no—
80C2×C22⋊Q8—22no—
81C2×C22⋊Q8—24no—
82C2×C22⋊Q8—24no—
83C2×C22⋊Q8—24no—
84C2×C22⋊Q8—24no—
85C2×C22⋊Q8—24no—
86C2×C22⋊Q8—24no—
87C2×C22⋊Q8—22no—
88C2×C22⋊Q8—22no—
89C2×C22⋊Q8—22no—
90C2×C22⋊Q8—22no—
91C2×C22⋊Q8D418yes—
92C2×C4×Q8—24no—
93C2×C4×Q8—22no—
94C2×C4×Q8—22no—
95C2×C4×Q8—24no—
96C2×C4×D4—22no—
97C2×C4×D4—22no—
98C2×C4×D4—22no—
99C2×C4×D4—22no—
100C2×C4×D4—24no—
101C2×C4×D4—22no—
102C2×C4×D4—22no—
103C2×C4×D4—24no—
104C2×C4×D4—24no—
105C2×C4×D4—24no—
106C2×C4×D4—24no—
107C2×C4×D4D414yes—
108C2×C4×D4D414yes—
109C22×C4⋊C4—24no—
110C22×C4⋊C4—24no—
111C22×C4⋊C4—22no—
112C22×C4⋊C4—22no—
113C22×C4⋊C4—24no—
114C22×C4⋊C4—22no—
115C22×C4⋊C4—22no—
116C22×C4⋊C4—22no—
117C22×C4⋊C4C2×C411yescharacteristic
118C22×C4⋊C4C2×C411yescharacteristic
119C22×C4⋊C4C2×C411yescharacteristic
120C22×C4⋊C4C2×C411yescharacteristic
121C22×C4⋊C4C2×C411yescharacteristic
122C22×C4⋊C4C2×C411yescharacteristic
123C22×C4⋊C4C2×C411yescharacteristic
124C22×C4⋊C4C2×C411yescharacteristic
125C22×C4⋊C4C2×C411yescharacteristic
126C22×C4⋊C4C2×C411yescharacteristic
127C22×C4⋊C4C2×C411yescharacteristic
128C22×C4⋊C4C2×C411yescharacteristic
129C22×C4⋊C4C2×C411yescharacteristic
130C22×C4⋊C4C2×C411yescharacteristic
131C22×C4⋊C4C2×C411yescharacteristic
132C22×C4⋊C4C2×C411yescharacteristic
133C22×C4⋊C4D414yes—
134C22×C4⋊C4D414yes—
135C22×C22⋊C4C2×C411yescharacteristic
136C22×C22⋊C4C2×C411yescharacteristic
137C22×C22⋊C4C2×C411yescharacteristic
138C22×C22⋊C4C2314yes—
139C22×C22⋊C4C2314yes—
140C22×C22⋊C4C2311yescharacteristic
141C22×C22⋊C4C2311yescharacteristic
142C22×C22⋊C4C2311yescharacteristic
143C22×C42—22no—
144C22×C42C2×C411yescharacteristic
145C22×C42C2×C411yescharacteristic
146C22×C42C2×C411yescharacteristic
147C2×#99—24no—
148C2×#99—24no—
149C2×#99—24no—
150C2×#99—28no—
151C2×#99Q818yescomplemented
152#380—24no—
153#380—24no—
154C4×C22⋊C4—24no—
155C4×C22⋊C4—24no—
156C2×#95—28no—
157C2×#95—22no—
158C2×#95—22no—
159C2×#95—28no—
160#342—24no—
161#342—28no—
162#342—28no—
163#342—24no—
164C25C22×C411yescharacteristic
165C25C2411yescharacteristic
166C22×Q8—22no—
167C22×Q8—22no—
168C22×Q8—22no—
169C22×Q8—22no—
170C22×Q8—22no—
171C22×Q8—22no—
172C22×Q8—22no—
173C22×Q8—22no—
174C22×Q8—44no—
175C22×Q8—82no—
176C22×Q8—82no—
177C22×Q8C22⋊C414yes—
178C22×D4—22no—
179C22×D4—22no—
180C22×D4—24no—
181C22×D4C2×D412yes—
182C22×D4C2×D412yes—
183C22×D4C2×Q814yes—
184C22×D4#4114yes—
185C23×C4—22no—
186C23×C4—21no—
187C23×C4—21no—
188C23×C4—22no—
189C23×C4—22no—
190C23×C4—21no—
191C23×C4—21no—
192C23×C4—22no—
193C23×C4—22no—
194C23×C4—22no—
195C23×C4—22no—
196C23×C4—22no—
197C23×C4—22no—
198C23×C4—21no—
199C23×C4—21no—
200C23×C4—24no—
201C23×C4—24no—
202C23×C4—44no—
203C23×C4—44no—
204C23×C4—82no—
205C23×C4—82no—
206C23×C4—82no—
207C23×C4—82no—
208C23×C4C22⋊C414yes—
209C23×C4C22×C411yescharacteristic
210C23×C4C22×C411yescharacteristic
211C23×C4C22×C411yescharacteristic
212C23×C4C22×C411yescharacteristic
213C23×C4C22×C411yescharacteristic
214C23×C4C22×C411yescharacteristic
215C23×C4C22×C411yescharacteristic
216C23×C4C22×C411yescharacteristic
217C23×C4C22×C411yescharacteristic
218C23×C4C22×C411yescharacteristic
219C23×C4C22×C411yescharacteristic
220C23×C4C22×C411yescharacteristic
221C23×C4C22×C411yescharacteristic
222C23×C4C2×D414yes—
223C23×C4C2×D414yes—
224C23×C4C2×D412yes—
225C23×C4C2×D412yes—
226C23×C4C2×D414yes—
227C23×C4C2×D412yes—
228C23×C4C2×D412yes—
229C4⋊Q8—232no—
230#125—232no—
231#125—216no—
232#125—216no—
233C22⋊Q8—216no—
234C22⋊Q8—216no—
235C22⋊Q8—232no—
236C22⋊Q8—232no—
237C22⋊Q8—216no—
238C22⋊Q8—216no—
239C22⋊Q8—216no—
240C22⋊Q8—216no—
241C22⋊Q8—28no—
242C22⋊Q8—28no—
243C22⋊Q8—28no—
244C22⋊Q8—28no—
245C4×Q8—216no—
246C4×Q8—216no—
247C4×D4—216no—
248C4×D4—216no—
249C4×D4—216no—
250C4×D4—216no—
251C4×D4—28no—
252C4×D4—28no—
253C4×D4—28no—
254C4×D4—28no—
255C2×C4⋊C4—216no—
256C2×C4⋊C4—216no—
257C2×C4⋊C4—22no—
258C2×C4⋊C4—22no—
259C2×C4⋊C4—22no—
260C2×C4⋊C4—22no—
261C2×C4⋊C4—22no—
262C2×C4⋊C4—22no—
263C2×C4⋊C4—22no—
264C2×C4⋊C4—22no—
265C2×C4⋊C4—22no—
266C2×C4⋊C4—22no—
267C2×C4⋊C4—21no—
268C2×C4⋊C4—21no—
269C2×C4⋊C4—22no—
270C2×C4⋊C4—22no—
271C2×C4⋊C4—22no—
272C2×C4⋊C4—22no—
273C2×C4⋊C4—22no—
274C2×C4⋊C4—22no—
275C2×C4⋊C4—22no—
276C2×C4⋊C4—22no—
277C2×C4⋊C4—22no—
278C2×C4⋊C4—22no—
279C2×C4⋊C4—22no—
280C2×C4⋊C4—22no—
281C2×C4⋊C4—22no—
282C2×C4⋊C4—22no—
283C2×C4⋊C4—22no—
284C2×C4⋊C4—22no—
285C2×C4⋊C4—22no—
286C2×C4⋊C4—21no—
287C2×C4⋊C4—21no—
288C2×C4⋊C4—22no—
289C2×C4⋊C4—22no—
290C2×C4⋊C4—22no—
291C2×C4⋊C4—22no—
292C2×C4⋊C4—22no—
293C2×C4⋊C4—22no—
294C2×C4⋊C4—22no—
295C2×C4⋊C4—22no—
296C2×C4⋊C4—22no—
297C2×C4⋊C4—22no—
298C2×C4⋊C4—22no—
299C2×C4⋊C4—28no—
300C2×C4⋊C4—28no—
301C2×C4⋊C4—28no—
302C2×C4⋊C4—28no—
303C2×C4⋊C4—44no—
304C2×C4⋊C4—84no—
305C2×C4⋊C4C22⋊C412yes—
306C2×C4⋊C4C22⋊C412yes—
307C2×C4⋊C4C22⋊C414yes—
308C2×C4⋊C4C22⋊C414yes—
309C2×C4⋊C4C22⋊C412yes—
310C2×C4⋊C4C22⋊C412yes—
311C2×C4⋊C4C22⋊C414yes—
312C2×C4⋊C4C22⋊C414yes—
313C2×C4⋊C4C22⋊C414yes—
314C2×C4⋊C4C22⋊C414yes—
315C2×C22⋊C4—22no—
316C2×C22⋊C4—22no—
317C2×C22⋊C4—21no—
318C2×C22⋊C4—21no—
319C2×C22⋊C4—22no—
320C2×C22⋊C4—21no—
321C2×C22⋊C4—21no—
322C2×C22⋊C4—22no—
323C2×C22⋊C4—22no—
324C2×C22⋊C4—22no—
325C2×C22⋊C4—22no—
326C2×C22⋊C4—22no—
327C2×C22⋊C4—22no—
328C2×C22⋊C4—22no—
329C2×C22⋊C4—22no—
330C2×C22⋊C4—22no—
331C2×C22⋊C4—24no—
332C2×C22⋊C4—24no—
333C2×C22⋊C4—24no—
334C2×C22⋊C4—24no—
335C2×C22⋊C4—24no—
336C2×C22⋊C4—24no—
337C2×C22⋊C4—24no—
338C2×C22⋊C4—28no—
339C2×C22⋊C4—28no—
340C2×C22⋊C4C22⋊C414yes—
341C2×C22⋊C4C2×D414yes—
342C2×C22⋊C4C2×D414yes—
343C2×C22⋊C4C2×D412yes—
344C2×C22⋊C4C2×D412yes—
345C2×C22⋊C4C2×Q818yes—
346C2×C42—22no—
347C2×C42—22no—
348C2×C42—22no—
349C2×C42—22no—
350C2×C42—21no—
351C2×C42—21no—
352C2×C42—22no—
353C2×C42—22no—
354C2×C42—22no—
355C2×C42—44no—
356C2×C42—84no—
357C2×C42C22⋊C414yes—
358#99—216no—
359#99—48no—
360#95—416no—
361#95—44no—
362#95—44no—
363#95—88no—
364C24—21no—
365C24—21no—
366C24—22no—
367C24—42no—
368C24—42no—
369C24—42no—
370C24—42no—
371C24C2×C22⋊C412yes—
372C24C4×Q814yes—
373C24C23×C411yescharacteristic
374C24C22×D412yes—
375C24C22×D411yescharacteristic
376C24C22×D411yescharacteristic
377C24C22×D412yes—
378C24C22×Q812yes—
379C24C2×#4112yes—
380C242−1+414yes—
381C2×Q8—28no—
382C2×Q8—28no—
383C2×Q8—28no—
384C2×Q8—48no—
385C2×Q8—48no—
386C2×Q8—44no—
387C2×Q8—44no—
388C2×Q8—84no—
389C2×Q8—84no—
390C2×Q8—84no—
391C2×Q8—84no—
392C2×Q8—84no—
393C2×Q8—84no—
394C2×D4—24no—
395C2×D4—24no—
396C2×D4—24no—
397C2×D4—24no—
398C2×D4—28no—
399C2×D4—28no—
400C2×D4—28no—
401C2×D4—28no—
402C2×D4C22⋊Q818yes—
403C2×D4#12414yes—
404C2×D4C4⋊Q814yes—
405C22×C4—21no—
406C22×C4—21no—
407C22×C4—21no—
408C22×C4—21no—
409C22×C4—22no—
410C22×C4—24no—
411C22×C4—28no—
412C22×C4—21no—
413C22×C4—21no—
414C22×C4—21no—
415C22×C4—21no—
416C22×C4—21no—
417C22×C4—21no—
418C22×C4—21no—
419C22×C4—21no—
420C22×C4—21no—
421C22×C4—21no—
422C22×C4—21no—
423C22×C4—21no—
424C22×C4—21no—
425C22×C4—21no—
426C22×C4—21no—
427C22×C4—21no—
428C22×C4—21no—
429C22×C4—21no—
430C22×C4—24no—
431C22×C4—24no—
432C22×C4—28no—
433C22×C4—24no—
434C22×C4—24no—
435C22×C4—28no—
436C22×C4—24no—
437C22×C4—24no—
438C22×C4—28no—
439C22×C4—44no—
440C22×C4—44no—
441C22×C4—42no—
442C22×C4—44no—
443C22×C4—42no—
444C22×C4—42no—
445C22×C4—42no—
446C22×C4—42no—
447C22×C4—48no—
448C22×C4—44no—
449C22×C4—44no—
450C22×C4—48no—
451C22×C4—48no—
452C22×C4—48no—
453C22×C4—44no—
454C22×C4—44no—
455C22×C4—42no—
456C22×C4—42no—
457C22×C4—42no—
458C22×C4—42no—
459C22×C4—42no—
460C22×C4—42no—
461C22×C4—48no—
462C22×C4—48no—
463C22×C4—44no—
464C22×C4—44no—
465C22×C4—48no—
466C22×C4—48no—
467C22×C4—44no—
468C22×C4—48no—
469C22×C4—82no—
470C22×C4—82no—
471C22×C4—84no—
472C22×C4—82no—
473C22×C4—84no—
474C22×C4—82no—
475C22×C4—84no—
476C22×C4—82no—
477C22×C4—82no—
478C22×C4—84no—
479C22×C4—84no—
480C22×C4—84no—
481C22×C4—84no—
482C22×C4C2×C22⋊C412yes—
483C22×C4C2×C22⋊C412yes—
484C22×C4C2×C22⋊C412yes—
485C22×C4C2×C22⋊C411yescharacteristic
486C22×C4C2×C22⋊C411yescharacteristic
487C22×C4C2×C22⋊C412yes—
488C22×C4C2×C22⋊C412yes—
489C22×C4C2×C22⋊C412yes—
490C22×C4C2×C22⋊C412yes—
491C22×C4C2×C22⋊C412yes—
492C22×C4C2×C22⋊C412yes—
493C22×C4C2×C22⋊C412yes—
494C22×C4C2×C22⋊C412yes—
495C22×C4C2×C22⋊C412yes—
496C22×C4C2×C22⋊C412yes—
497C22×C4C2×C22⋊C412yes—
498C22×C4C2×C22⋊C412yes—
499C22×C4C2×C22⋊C412yes—
500C22×C4C4×Q814yes—
501C22×C4#12014yes—
502C22×C4#12014yes—
503C22×C4#12014yes—
504C22×C4#12014yes—
505C4⋊C4—28no—
506C4⋊C4—28no—
507C4⋊C4—28no—
508C4⋊C4—28no—
509C4⋊C4—28no—
510C4⋊C4—28no—
511C4⋊C4—28no—
512C4⋊C4—28no—
513C4⋊C4—24no—
514C4⋊C4—24no—
515C4⋊C4—28no—
516C4⋊C4—24no—
517C4⋊C4—24no—
518C4⋊C4—24no—
519C4⋊C4—24no—
520C4⋊C4—28no—
521C4⋊C4—28no—
522C4⋊C4—24no—
523C4⋊C4—24no—
524C4⋊C4—28no—
525C4⋊C4—88no—
526C22⋊C4—28no—
527C22⋊C4—28no—
528C22⋊C4—24no—
529C22⋊C4—24no—
530C22⋊C4—24no—
531C22⋊C4—24no—
532C22⋊C4—24no—
533C22⋊C4—24no—
534C22⋊C4—28no—
535C22⋊C4—28no—
536C22⋊C4—28no—
537C22⋊C4—44no—
538C22⋊C4—44no—
539C22⋊C4—44no—
540C22⋊C4—44no—
541C22⋊C4—48no—
542C42—28no—
543C42—28no—
544C42—24no—
545C42—24no—
546C42—88no—
547C23—24no—
548C23—22no—
549C23—24no—
550C23—22no—
551C23—22no—
552C23—24no—
553C23—24no—
554C23—22no—
555C23—41no—
556C23—41no—
557C23—42no—
558C23—41no—
559C23—41no—
560C23—42no—
561C23—44no—
562C23—44no—
563C23—48no—
564C23—42no—
565C23—42no—
566C23—48no—
567C23—42no—
568C23—42no—
569C23—48no—
570C23—42no—
571C23—42no—
572C23#39114yes—
573C23C22×C22⋊C411yescharacteristic
574C23C22×C22⋊C411yescharacteristic
575C23C22×C22⋊C411yescharacteristic
576C23C2×C4×Q812yes—
577C23#51912yes—
578C23C2×#12012yes—
579C23C2×#12012yes—
580C23C2×C22⋊Q812yes—
581C23C2×#12411yescharacteristic
582C23C2×C4⋊Q811yescharacteristic
583C23#53612yes—
584C23#53612yes—
585C23#54814yes—
586C23#54814yes—
587C23D4×Q814yes—
588C23D4×Q814yes—
589Q8—416no—
590Q8—88no—
591Q8—88no—
592D4—216no—
593D4—28no—
594D4—28no—
595C2×C4—24no—
596C2×C4—24no—
597C2×C4—22no—
598C2×C4—24no—
599C2×C4—24no—
600C2×C4—22no—
601C2×C4—22no—
602C2×C4—22no—
603C2×C4—24no—
604C2×C4—22no—
605C2×C4—22no—
606C2×C4—24no—
607C2×C4—24no—
608C2×C4—24no—
609C2×C4—22no—
610C2×C4—22no—
611C2×C4—22no—
612C2×C4—22no—
613C2×C4—22no—
614C2×C4—22no—
615C2×C4—22no—
616C2×C4—22no—
617C2×C4—22no—
618C2×C4—44no—
619C2×C4—44no—
620C2×C4—42no—
621C2×C4—42no—
622C2×C4—42no—
623C2×C4—42no—
624C2×C4—44no—
625C2×C4—44no—
626C2×C4—48no—
627C2×C4—48no—
628C2×C4—416no—
629C2×C4—42no—
630C2×C4—42no—
631C2×C4—42no—
632C2×C4—42no—
633C2×C4—42no—
634C2×C4—42no—
635C2×C4—42no—
636C2×C4—42no—
637C2×C4—42no—
638C2×C4—42no—
639C2×C4—42no—
640C2×C4—42no—
641C2×C4—42no—
642C2×C4—42no—
643C2×C4—42no—
644C2×C4—42no—
645C2×C4—42no—
646C2×C4—42no—
647C2×C4—42no—
648C2×C4—42no—
649C2×C4—42no—
650C2×C4—42no—
651C2×C4—42no—
652C2×C4—42no—
653C2×C4—416no—
654C2×C4—48no—
655C2×C4—84no—
656C2×C4—84no—
657C2×C4—84no—
658C2×C4—84no—
659C2×C4—88no—
660C2×C4—84no—
661C2×C4—84no—
662C2×C4—88no—
663C2×C4—84no—
664C2×C4—84no—
665C2×C4—816no—
666C2×C4—84no—
667C2×C4#37912yes—
668C2×C4#37912yes—
669C2×C4#37914yes—
670C2×C4#39114yes—
671C2×C4#41014yes—
672C22—21no—
673C22—21no—
674C22—22no—
675C22—22no—
676C22—21no—
677C22—21no—
678C22—22no—
679C22—22no—
680C22—28no—
681C22—28no—
682C22—24no—
683C22—24no—
684C22—24no—
685C22—42no—
686C22—41no—
687C22—41no—
688C22—42no—
689C22—42no—
690C22—44no—
691C22—44no—
692C22—44no—
693C22—44no—
694C22—48no—
695C22—42no—
696C22—42no—
697C22—48no—
698C22C2×#37911yescharacteristic
699C22C2×#39111yescharacteristic
700C22#231011yescharacteristic
701C22Q8×C22⋊C412yes—
702C22Q8×C22⋊C412yes—
703C22#240914yes—
704C22#243412yes—
705C22#243612yes—
706C22C2×#41012yes—
707C22#288312yes—
708C4—24no—
709C4—24no—
710C4—22no—
711C4—22no—
712C4—24no—
713C4—42no—
714C4—42no—
715C4—42no—
716C4—42no—
717C4—42no—
718C4—42no—
719C4—42no—
720C4—42no—
721C4—42no—
722C4—88no—
723C4—164no—
724C2—24no—
725C2—22no—
726C2—21no—
727C2—22no—
728C2—21no—
729C2—22no—
730C2—44no—
731C2#1392211yescharacteristic
732C2#2058411yescharacteristic
733C2#2058511yescharacteristic
734C2#2251314yes—
subgroupG/H
center, socleC23C22×C22⋊C4
commutatorC24C23×C4
Frattini, cosocleC25C24
prime radicalC23×D4C23
LCSG ▷ C24 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C23×C4⋊C4 ◁ G
LECSG ▷ C25 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
2. C2×#1996C2semidirect
5. #13923C2semidirect
6. #11381C2semidirect
7. #11381C2semidirect
15. C22×C4⋊Q8C4semidirect
16. C22×#125C4semidirect
17. C22×#125C4semidirect
18. C22×C22⋊Q8C4semidirect
19. C22×C22⋊Q8C4semidirect
20. C22×C22⋊Q8C4semidirect
24. C22×C4×Q8C4semidirect
28. C23×C4⋊C4C4semidirect
151. C2×#99Q8semidirect

Maximal subgroups

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

subgroupindex
C22×#5542
C2×#19962
C2×#17992
C2×C4×#992
#139232
#113812
#107612