Finite Group Databasebeta

← #7632461

Subgroups — #7632461

Order 512.

7910 conjugacy classes of subgroups.

The subgroup lattice has 709 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3502C211yesmaximal, characteristic, complemented
2C2×#3428C211yesmaximal, characteristic
3#36456C214yesmaximal, complemented
4#36445C214yesmaximal, complemented
5#36431C214yesmaximal, complemented
6#36431C214yesmaximal, complemented
7#36040C214yesmaximal, complemented
8#35816C214yesmaximal, complemented
9#35816C214yesmaximal, complemented
10#35748C214yesmaximal, complemented
11#35529C216yesmaximal, complemented
12#35515C216yesmaximal, complemented
13#35253C216yesmaximal, complemented
14#34739C216yesmaximal, complemented
15#34249C211yesmaximal, characteristic, complemented
16#34249C211yesmaximal, characteristic, complemented
17#34182C211yesmaximal, characteristic, complemented
18#34174C211yesmaximal, characteristic
19C2×#2341C211yesmaximal, characteristic
20C23×#41C2211yescharacteristic
21#3502—216no—
22C2×Q82C2214yescomplemented
23C2×#557C2214yescomplemented
24C2×#557C2214yescomplemented
25C2×#557C2214yescomplemented
26C2×#544C2216yes—
27C2×#533C2216yes—
28#3428—216no—
29C2×#520C2214yes—
30C2×#520C2214yes—
31C2×#519C2211yescharacteristic
32C2×#519C2211yescharacteristic
33C2×#519C2211yescharacteristic
34C2×#519C2211yescharacteristic
35C2×#518C2216yes—
36C2×C4×#41C2214yes—
37C2×C4×#41C2214yes—
38C22×C4×Q8C2211yescharacteristic
39C22×C4×Q8C2211yescharacteristic
40C22×#117C2216yes—
41#2857C22112yescomplemented
42#2851C22112yescomplemented
43#2629C22112yescomplemented
44#2628C22112yescomplemented
45#2580C22112yescomplemented
46#2580C22112yescomplemented
47#2566C22112yescomplemented
48#2566C22112yescomplemented
49#2563C22112yescomplemented
50#2542C22112yescomplemented
51#2538C22112yescomplemented
52#2538C22112yescomplemented
53#2454C22112yescomplemented
54#2454C22112yescomplemented
55#2454C22112yescomplemented
56#2454C22112yescomplemented
57#2452C22112yescomplemented
58#2452C22112yescomplemented
59#2452C22112yescomplemented
60#2452C22112yescomplemented
61#2442C2216yescomplemented
62#2442C2216yescomplemented
63#2442C22112yescomplemented
64#2441C2216yescomplemented
65#2441C22112yescomplemented
66#2441C2216yescomplemented
67#2440C2216yescomplemented
68#2440C22112yescomplemented
69#2440C2216yescomplemented
70#2439C2216yescomplemented
71#2439C22112yescomplemented
72#2439C2216yescomplemented
73#2438C2214yes—
74#2438C22112yes—
75#2437C22112yes—
76#2437C22112yes—
77#2437C22124yes—
78#2396C22112yescomplemented
79#2396C22112yescomplemented
80#2351C2214yescomplemented
81#2351C2214yescomplemented
82#2351C2214yescomplemented
83#2351C2214yescomplemented
84#2351C2214yescomplemented
85#2351C2214yescomplemented
86Q8×C4⋊C4C2214yescomplemented
87Q8×C4⋊C4C2214yescomplemented
88Q8×C4⋊C4C2214yescomplemented
89Q8×C4⋊C4C2214yescomplemented
90Q8×C4⋊C4C2214yescomplemented
91Q8×C4⋊C4C2214yescomplemented
92#2341C2214yes—
93#2341C2214yes—
94#2341C2214yes—
95#2341C2214yes—
96#2341C2214yes—
97#2341C2214yes—
98#2341C2214yes—
99#2341C2214yes—
100#2317C2216yes—
101#2317C2216yes—
102#2316C2216yes—
103#2309C2216yes—
104C4×C22⋊Q8C22112yescomplemented
105C4×C22⋊Q8C22112yescomplemented
106#2296C2216yes—
107#2296C2216yes—
108C2×#390C2213yes—
109C2×#390C2213yes—
110#2285C2216yes—
111#2280C2216yes—
112C2×#380C2213yes—
113C2×C4×C22⋊C4C2213yes—
114C22×#41—28no—
115C22×#41—28no—
116C22×#41Q8116yescomplemented
117C22×#41C2314yes—
118C22×#41C2314yes—
119C23×Q8C2311yescharacteristic
120C23×D4C2313yes—
121C24×C4C2313yes—
122Q82—232no—
123#557—232no—
124#557—232no—
125#557—232no—
126#544—248no—
127#533—248no—
128C2×C4⋊Q8C23112yes—
129C2×C4⋊Q8C2316yes—
130C2×C4⋊Q8C2316yes—
131C2×C4⋊Q8C23112yes—
132C2×#125C23112yes—
133C2×#125C2316yes—
134C2×#125C2316yes—
135C2×#125C23112yes—
136C2×C22⋊Q8C2314yes—
137C2×C22⋊Q8C23112yes—
138C2×C22⋊Q8C23112yes—
139C2×C22⋊Q8C23112yes—
140C2×C22⋊Q8C23124yes—
141#520—232no—
142#520—232no—
143#519—28no—
144#519—28no—
145#519—28no—
146#519D4116yes—
147#518—248no—
148C4×#41—232no—
149C4×#41—232no—
150C2×C4×Q8—28no—
151C2×C4×Q8—28no—
152C2×C4×Q8C23112yes—
153C2×C4×Q8C23112yes—
154C2×C4×Q8C2314yes—
155C2×C4×Q8C2314yes—
156C2×C4×Q8C2314yes—
157C2×C4×Q8C2314yes—
158C2×C4×Q8C2314yes—
159C2×C4×Q8C2314yes—
160C2×C4×Q8C2314yes—
161C2×C4×Q8C2314yes—
162C2×C4×Q8C2314yes—
163C2×C4×Q8C2314yes—
164C2×C4×Q8C2314yes—
165C2×C4×Q8C2314yes—
166C2×C4×D4C23112yes—
167C2×C4×D4C23112yes—
168C2×C4×D4C23112yes—
169C2×C4×D4C23112yes—
170C2×#117—248no—
171C2×#117C2316yes—
172C2×#117C2316yes—
173C2×#117C2316yes—
174C2×#117C23112yes—
175C2×#117C2314yes—
176C2×#117C2316yes—
177C2×#117C2316yes—
178C2×#117C2316yes—
179C22×C4⋊C4C2313yes—
180C22×C4⋊C4C2313yes—
181C22×C4⋊C4C2316yes—
182C22×C4⋊C4C2316yes—
183C22×C22⋊C4C23112yes—
184C22×C22⋊C4C2313yes—
185C22×C22⋊C4C2313yes—
186C22×C22⋊C4C2316yes—
187C22×C42C23112yes—
188C22×C42C2313yes—
189C22×C42C2313yes—
190#400C23112yes—
191#400C2314yes—
192#399C23112yes—
193#399C23124yes—
194#399C23112yes—
195#398C23112yes—
196#398C23112yes—
197#398C2314yes—
198#398C2314yes—
199#396C23112yes—
200#396C23112yes—
201#396C23124yes—
202#396C23124yes—
203#396C23112yes—
204#396C23112yes—
205#395C23112yes—
206#395C2314yes—
207#393C23112yes—
208#393C23124yes—
209#393C23112yes—
210#391C23112yes—
211#391C2314yes—
212#390C23112yes—
213#390C23112yes—
214#390C23112yes—
215#390C23112yes—
216#390C23112yes—
217#390C23112yes—
218#390C23112yes—
219#390C23112yes—
220#389C23112yes—
221#389C23112yes—
222#389C23112yes—
223#389C23112yes—
224#389C23112yes—
225#389C23112yes—
226#389C23112yes—
227#389C23112yes—
228#389C2316yes—
229#389C2316yes—
230#389C23112yes—
231#389C2316yes—
232#389C2316yes—
233#389C2316yes—
234#389C2316yes—
235#389C2316yes—
236#389C2316yes—
237#389C2314yes—
238#387C23112yes—
239#387C23112yes—
240#387C2314yes—
241#387C2314yes—
242#385C23112yes—
243#385C23112yes—
244#385C23124yes—
245#385C23124yes—
246#385C23112yes—
247#385C23112yes—
248#385C23112yes—
249#385C23112yes—
250#385C2314yes—
251#385C2314yes—
252#384C2316yes—
253#384C23112yes—
254#384C23112yes—
255#384C2316yes—
256#382C2316yes—
257#382C23112yes—
258#382C2316yes—
259#382C23112yes—
260#381C2314yes—
261#380C23112yes—
262#380C23124yes—
263#380C23112yes—
264#380C2316yes—
265#380C23112yes—
266#380C2316yes—
267#380C2316yes—
268#380C23112yes—
269#380C2316yes—
270#380C2314yes—
271#380C23112yes—
272#379C23112yes—
273C4×C4⋊C4C23112yes—
274C4×C4⋊C4C23112yes—
275C4×C4⋊C4C23112yes—
276C4×C4⋊C4C23112yes—
277C4×C4⋊C4C23112yes—
278C4×C4⋊C4C23112yes—
279C4×C22⋊C4C2316yes—
280C4×C22⋊C4C23112yes—
281C4×C22⋊C4C2316yes—
282C4×C22⋊C4C2316yes—
283C4×C22⋊C4C23112yes—
284C4×C22⋊C4C2316yes—
285C2×#95C2311yescharacteristic
286C2×#95C2313yes—
287C25C2413yes—
288C2×#41—2128no—
289C2×#41—216no—
290C2×#41—216no—
291C2×#41—216no—
292C2×#41—216no—
293C2×#41C2×Q8132yes—
294C2×#41C2×Q8132yes—
295C22×Q8C2×D418yes—
296C22×Q8C2×Q818yes—
297C22×Q8#4118yes—
298C22×Q8C2414yes—
299C22×Q8C24112yes—
300C22×Q8C2414yes—
301C22×D4—212no—
302C22×D4—212no—
303C22×D4C2×Q8124yes—
304C22×D4C24112yes—
305C23×C4—212no—
306C23×C4—212no—
307C23×C4C2×Q8124yes—
308C23×C4C2411yescharacteristic
309C23×C4C2411yescharacteristic
310C23×C4C2416yes—
311C23×C4C2411yescharacteristic
312C23×C4C2416yes—
313C23×C4C2413yes—
314C23×C4C2413yes—
315C23×C4C24112yes—
316C23×C4C24112yes—
317C23×C4C2413yes—
318C4⋊Q8—224no—
319C4⋊Q8—224no—
320C4⋊Q8—248no—
321C4⋊Q8—248no—
322#125—224no—
323#125—224no—
324#125—248no—
325#125—248no—
326C22⋊Q8—216no—
327C22⋊Q8—248no—
328C22⋊Q8—424no—
329C22⋊Q8—424no—
330C22⋊Q8—824no—
331C4×Q8—216no—
332C4×Q8—216no—
333C4×Q8—216no—
334C4×Q8—216no—
335C4×Q8—216no—
336C4×Q8—216no—
337C4×Q8—216no—
338C4×Q8—216no—
339C4×Q8—216no—
340C4×Q8—216no—
341C4×Q8—248no—
342C4×Q8—248no—
343C4×Q8C2×D4132yes—
344C4×Q8C2×D4132yes—
345C4×D4—248no—
346C4×D4—248no—
347C4×D4—248no—
348C4×D4—248no—
349#117—224no—
350#117—224no—
351#117—224no—
352#117—224no—
353#117—224no—
354#117—216no—
355#117—248no—
356#117C2×D4148yes—
357C2×C4⋊C4—212no—
358C2×C4⋊C4—212no—
359C2×C4⋊C4—224no—
360C2×C4⋊C4—224no—
361C2×C4⋊C4C2414yes—
362C2×C4⋊C4C2414yes—
363C2×C4⋊C4C2416yes—
364C2×C4⋊C4C2416yes—
365C2×C4⋊C4C24112yes—
366C2×C4⋊C4C24112yes—
367C2×C4⋊C4C2416yes—
368C2×C4⋊C4C2416yes—
369C2×C4⋊C4C2416yes—
370C2×C4⋊C4C2416yes—
371C2×C4⋊C4C2414yes—
372C2×C4⋊C4C2414yes—
373C2×C4⋊C4C2414yes—
374C2×C4⋊C4C24112yes—
375C2×C4⋊C4C24112yes—
376C2×C4⋊C4C24112yes—
377C2×C4⋊C4C2414yes—
378C2×C4⋊C4C2414yes—
379C2×C4⋊C4C2414yes—
380C2×C4⋊C4C24112yes—
381C2×C4⋊C4C24112yes—
382C2×C4⋊C4C24112yes—
383C2×C4⋊C4C24112yes—
384C2×C4⋊C4C24112yes—
385C2×C4⋊C4C24112yes—
386C2×C4⋊C4C2414yes—
387C2×C4⋊C4C2414yes—
388C2×C4⋊C4C2414yes—
389C2×C4⋊C4C2416yes—
390C2×C4⋊C4C2416yes—
391C2×C22⋊C4—248no—
392C2×C22⋊C4—46no—
393C2×C22⋊C4—46no—
394C2×C22⋊C4—86no—
395C2×C22⋊C4C2414yes—
396C2×C22⋊C4C24112yes—
397C2×C22⋊C4C24112yes—
398C2×C22⋊C4C2416yes—
399C2×C22⋊C4C2416yes—
400C2×C22⋊C4C2414yes—
401C2×C22⋊C4C2414yes—
402C2×C22⋊C4C24124yes—
403C2×C22⋊C4C2416yes—
404C2×C22⋊C4C2416yes—
405C2×C22⋊C4C24112yes—
406C2×C22⋊C4C24112yes—
407C2×C22⋊C4C24112yes—
408C2×C22⋊C4C24112yes—
409C2×C22⋊C4C2414yes—
410C2×C42—212no—
411C2×C42—212no—
412C2×C42—248no—
413C2×C42C2414yes—
414C2×C42C2414yes—
415C2×C42C24112yes—
416C2×C42C24112yes—
417C2×C42C24112yes—
418C2×C42C2416yes—
419C2×C42C2416yes—
420C2×C42C2416yes—
421C2×C42C2416yes—
422C2×C42C24112yes—
423#95C2411yescharacteristic
424#95C2411yescharacteristic
425#95C2411yescharacteristic
426#95C2411yescharacteristic
427#95C2416yes—
428#95C2416yes—
429#95C2414yes—
430#95C2414yes—
431#95C2414yes—
432#95C2414yes—
433#95C2414yes—
434#95C2414yes—
435#95C2414yes—
436#95C2414yes—
437#95C2414yes—
438#95C2414yes—
439#95C24112yes—
440#95C24112yes—
441#95C24112yes—
442#95C24112yes—
443#95C24112yes—
444#95C24112yes—
445C24—26no—
446C24—26no—
447C24—43no—
448C24—43no—
449C24—43no—
450C24—43no—
451C24C22×Q8112yes—
452C24C2516yes—
453C24C2511yescharacteristic
454#41—2128no—
455#41—2128no—
456C2×Q8—28no—
457C2×Q8—224no—
458C2×Q8—28no—
459C2×Q8—44no—
460C2×Q8—412no—
461C2×Q8—412no—
462C2×Q8C22⋊Q8164yescomplemented
463C2×Q8C22×D4116yes—
464C2×Q8C22×Q8116yes—
465C2×Q8C2×#41116yes—
466C2×D4—296no—
467C2×D4—224no—
468C2×D4—224no—
469C2×D4C22×Q8148yes—
470C22×C4—22no—
471C22×C4—22no—
472C22×C4—296no—
473C22×C4—212no—
474C22×C4—212no—
475C22×C4—212no—
476C22×C4—212no—
477C22×C4—22no—
478C22×C4—22no—
479C22×C4—26no—
480C22×C4—26no—
481C22×C4—22no—
482C22×C4—22no—
483C22×C4—224no—
484C22×C4—224no—
485C22×C4—41no—
486C22×C4—41no—
487C22×C4—43no—
488C22×C4—43no—
489C22×C4—43no—
490C22×C4—43no—
491C22×C4—412no—
492C22×C4—412no—
493C22×C4—412no—
494C22×C4—412no—
495C22×C4C22×D4112yes—
496C22×C4C22×Q814yes—
497C22×C4C22×Q8124yes—
498C22×C4C22×Q8124yes—
499C22×C4C22×Q8112yes—
500C22×C4C2×#41112yes—
501C22×C4C2511yescharacteristic
502C22×C4C2514yes—
503C22×C4C2514yes—
504C22×C4C2516yes—
505C22×C4C2514yes—
506C22×C4C2511yescharacteristic
507C22×C4C2514yes—
508C22×C4C2514yes—
509C22×C4C2514yes—
510C22×C4C2516yes—
511C22×C4C2514yes—
512C22×C4C2514yes—
513C22×C4C2511yescharacteristic
514C22×C4C2511yescharacteristic
515C22×C4C2511yescharacteristic
516C22×C4C2511yescharacteristic
517C22×C4C2516yes—
518C4⋊C4—28no—
519C4⋊C4—28no—
520C4⋊C4—212no—
521C4⋊C4—212no—
522C4⋊C4—224no—
523C4⋊C4—212no—
524C4⋊C4—212no—
525C4⋊C4—28no—
526C4⋊C4—28no—
527C4⋊C4—28no—
528C4⋊C4—224no—
529C4⋊C4—224no—
530C4⋊C4—224no—
531C4⋊C4—224no—
532C4⋊C4—212no—
533C4⋊C4—212no—
534C4⋊C4—28no—
535C4⋊C4—28no—
536C4⋊C4—28no—
537C4⋊C4—44no—
538C4⋊C4—44no—
539C4⋊C4—44no—
540C4⋊C4—412no—
541C4⋊C4—412no—
542C4⋊C4—412no—
543C4⋊C4—412no—
544C4⋊C4—412no—
545C4⋊C4—412no—
546C4⋊C4C22×D4124yes—
547C4⋊C4C22×D4124yes—
548C22⋊C4—28no—
549C22⋊C4—28no—
550C22⋊C4—28no—
551C22⋊C4—224no—
552C22⋊C4—224no—
553C22⋊C4—212no—
554C22⋊C4—212no—
555C22⋊C4—46no—
556C22⋊C4—46no—
557C22⋊C4—424no—
558C22⋊C4—412no—
559C22⋊C4—412no—
560C22⋊C4—412no—
561C22⋊C4—412no—
562C22⋊C4C22×D4116yes—
563C42—28no—
564C42—28no—
565C42—224no—
566C42—212no—
567C42—212no—
568C42—224no—
569C42—212no—
570C42—212no—
571C42—224no—
572C42C22×D4148yes—
573C23—21no—
574C23—21no—
575C23—21no—
576C23—21no—
577C23—26no—
578C23—26no—
579C23—26no—
580C23—26no—
581C23—26no—
582C23—26no—
583C23—224no—
584C23—412no—
585C23—412no—
586C23—86no—
587C23—86no—
588C23—86no—
589C23—86no—
590C23C23×D412yes—
591C23C23×Q8112yes—
592C23C23×Q812yes—
593C23C22×#4112yes—
594C23C2611yescharacteristic
595Q8—416no—
596Q8—824no—
597Q8C2×C22⋊Q8164yes—
598D4—296no—
599C2×C4—21no—
600C2×C4—21no—
601C2×C4—21no—
602C2×C4—21no—
603C2×C4—21no—
604C2×C4—21no—
605C2×C4—24no—
606C2×C4—24no—
607C2×C4—24no—
608C2×C4—21no—
609C2×C4—24no—
610C2×C4—21no—
611C2×C4—28no—
612C2×C4—248no—
613C2×C4—248no—
614C2×C4—21no—
615C2×C4—24no—
616C2×C4—24no—
617C2×C4—24no—
618C2×C4—24no—
619C2×C4—26no—
620C2×C4—21no—
621C2×C4—24no—
622C2×C4—24no—
623C2×C4—26no—
624C2×C4—26no—
625C2×C4—26no—
626C2×C4—21no—
627C2×C4—21no—
628C2×C4—24no—
629C2×C4—24no—
630C2×C4—24no—
631C2×C4—24no—
632C2×C4—24no—
633C2×C4—24no—
634C2×C4—26no—
635C2×C4—26no—
636C2×C4—24no—
637C2×C4—24no—
638C2×C4—24no—
639C2×C4—24no—
640C2×C4—24no—
641C2×C4—21no—
642C2×C4—21no—
643C2×C4—24no—
644C2×C4—44no—
645C2×C4—44no—
646C2×C4—824no—
647C2×C4—824no—
648C2×C4—86no—
649C2×C4—86no—
650C2×C4C2×C22⋊Q8148yes—
651C2×C4C23×D418yes—
652C2×C4C23×D418yes—
653C2×C4C23×D4112yes—
654C2×C4C23×Q812yes—
655C2×C4C23×Q812yes—
656C2×C4C23×Q8112yes—
657C2×C4C22×#41112yes—
658C2×C4#58512yes—
659C2×C4#58512yes—
660C22—22no—
661C22—22no—
662C22—22no—
663C22—22no—
664C22—22no—
665C22—22no—
666C22—212no—
667C22—212no—
668C22—212no—
669C22—46no—
670C22—46no—
671C22—46no—
672C22—46no—
673C22—824no—
674C22C22×C22⋊Q814yes—
675C22C24×D411yescharacteristic
676C22C24×Q811yescharacteristic
677C22C23×#4111yescharacteristic
678C22C2×#58511yescharacteristic
679C22C2×#58511yescharacteristic
680C22H(7,𝔽2)11yescharacteristic
681C222−1+611yescharacteristic
682C4—22no—
683C4—28no—
684C4—28no—
685C4—22no—
686C4—22no—
687C4—22no—
688C4—41no—
689C4—44no—
690C4—44no—
691C4—44no—
692C4—46no—
693C4—44no—
694C4—44no—
695C4—41no—
696C4—44no—
697C4—46no—
698C4C22×C22⋊Q8124yes—
699C2—24no—
700C2—412no—
701C2C23×C22⋊Q811yescharacteristic
702C2#6281311yescharacteristic
703C2#6285411yescharacteristic
704C2#6300211yescharacteristic
705C2#6300311yescharacteristic
706C2#6300511yescharacteristic
707C2#6300611yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC23×#41C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#3502C2semidirect
3. #36456C2semidirect
4. #36445C2semidirect
5. #36431C2semidirect
6. #36431C2semidirect
7. #36040C2semidirect
8. #35816C2semidirect
9. #35816C2semidirect
10. #35748C2semidirect
11. #35529C2semidirect
12. #35515C2semidirect
13. #35253C2semidirect
14. #34739C2semidirect
15. #34249C2semidirect
16. #34249C2semidirect
17. #34182C2semidirect
22. C2×Q82C22semidirect
23. C2×#557C22semidirect
24. C2×#557C22semidirect
25. C2×#557C22semidirect
41. #2857C22semidirect
42. #2851C22semidirect
43. #2629C22semidirect
44. #2628C22semidirect
45. #2580C22semidirect
46. #2580C22semidirect
47. #2566C22semidirect
48. #2566C22semidirect
49. #2563C22semidirect
50. #2542C22semidirect
51. #2538C22semidirect
52. #2538C22semidirect
53. #2454C22semidirect
54. #2454C22semidirect
55. #2454C22semidirect
56. #2454C22semidirect
57. #2452C22semidirect
58. #2452C22semidirect
59. #2452C22semidirect
60. #2452C22semidirect
61. #2442C22semidirect
62. #2442C22semidirect
63. #2442C22semidirect
64. #2441C22semidirect
65. #2441C22semidirect
66. #2441C22semidirect
67. #2440C22semidirect
68. #2440C22semidirect
69. #2440C22semidirect
70. #2439C22semidirect
71. #2439C22semidirect
72. #2439C22semidirect
78. #2396C22semidirect
79. #2396C22semidirect
80. #2351C22semidirect
81. #2351C22semidirect
82. #2351C22semidirect
83. #2351C22semidirect
84. #2351C22semidirect
85. #2351C22semidirect
86. Q8×C4⋊C4C22semidirect
87. Q8×C4⋊C4C22semidirect
88. Q8×C4⋊C4C22semidirect
89. Q8×C4⋊C4C22semidirect
90. Q8×C4⋊C4C22semidirect
91. Q8×C4⋊C4C22semidirect
104. C4×C22⋊Q8C22semidirect
105. C4×C22⋊Q8C22semidirect
116. C22×#41Q8semidirect
462. C2×Q8C22⋊Q8semidirect

Maximal subgroups

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

subgroupindex
C2×#35022
C2×#34282
#364562
#364452
#364312
#360402
#358162
#357482
#355292
#355152
#352532
#347392
#342492
#341822
#341742
C2×#23412