Finite Group Databasebeta

← #25256413

Subgroups — #25256413

Order 11008.

3232 conjugacy classes of subgroups.

The subgroup lattice has 660 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#14583560C211yesmaximal, characteristic
2C2×C4×#10621902C211yesmaximal, characteristic, complemented
3C22×Q8×Dic43C211yesmaximal, characteristic, complemented
4#19137671C213yesmaximal, complemented
5#19137627C213yesmaximal, complemented
6#19137609C213yesmaximal, complemented
7#19137526C213yesmaximal, complemented
8#19137513C211yesmaximal, characteristic, complemented
9#19137433C211yesmaximal, characteristic, complemented
10#19137138C213yesmaximal, complemented
11#19137133C213yesmaximal, complemented
12#19137101C213yesmaximal, complemented
13C4×Q8×Dic43C211yesmaximal, characteristic, complemented
14C4×(C22⋊D43)⋊C4C213yesmaximal, complemented
15Q8×C22⋊C4×C43C211yesmaximal, characteristic, complemented
16C22×#10621902C2211yescharacteristic
17#14583560C4116yescomplemented
18C2×#13063314C2213yes—
19C2×#13063301C2213yes—
20C2×#13063299C2213yes—
21C4×#10621902—28no—
22C2×Q8×Dic43—28no—
23C2×Q8×Dic43C2213yes—
24C2×Q8×Dic43C2213yes—
25C2×Q8×Dic43C2211yescharacteristic
26C2×Q8×Dic43C2211yescharacteristic
27C2×Q8×Dic43C2211yescharacteristic
28C2×C4×D172C2213yes—
29C2×#13063287C2213yes—
30C2×C4×C22⋊D43C2213yes—
31C2×(C22⋊D43)⋊C4C2213yes—
32C2×(C22⋊D43)⋊C4C2213yes—
33C2×#13063283C2213yes—
34C22×C4⋊Dic43C2213yes—
35C22×C4×Dic43C2213yes—
36C2×C42×D43C2213yes—
37#14582801C2213yes—
38#14582800C2213yes—
39#14582797C2213yes—
40#14582795C2213yes—
41#14582791C2216yes—
42#14582791C2216yes—
43#14582788C2216yes—
44#14582786C2216yes—
45#14582776C2216yes—
46#14582773C2216yes—
47#14582764C2213yes—
48#14582756C2213yes—
49C4⋊C4×Dic43C2213yes—
50C4⋊C4×Dic43C2213yes—
51C4×Dic43⋊C4C2213yes—
52C4×C4⋊Dic43C2213yes—
53#14582750C2213yes—
54#14582750C2213yes—
55C22⋊C4×Dic43C2211yescharacteristic
56C22⋊C4×Dic43C2213yes—
57C4×(C2×D43)⋊C4C2213yes—
58#14582746C2216yes—
59#14582746C2213yes—
60#14582746C2213yes—
61C42×Dic43C2213yes—
62C23×Q8×C43C2211yescharacteristic
63C2×C4×Q8×C43C2211yescharacteristic
64C2×C4×Q8×C43C2211yescharacteristic
65C43×#391C2213yes—
66C43×#391C2213yes—
67C43×#380C2213yes—
68C4×C22⋊C4×C43C2213yes—
69C2×#10621902—24no—
70C2×#10621902—24no—
71C2×#10621902C2×C418yescomplemented
72C22×D172C2313yes—
73C22×C22⋊D43C2313yes—
74C23×Dic43C2313yes—
75C23×Dic43C2311yescharacteristic
76C22×C4×D43C2313yes—
77C22×C4×D43C2313yes—
78C22×C4×D43C2313yes—
79#13063314C2×C4124yescomplemented
80#13063301C2×C4124yescomplemented
81#13063299C2×C4124yescomplemented
82Q8×Dic43—24no—
83Q8×Dic43—212no—
84Q8×Dic43—212no—
85Q8×Dic43C2×C418yescomplemented
86Q8×Dic43D418yescomplemented
87C4×D172—212no—
88#13063287—212no—
89C4×C22⋊D43C2×C4124yescomplemented
90(C22⋊D43)⋊C4—212no—
91(C22⋊D43)⋊C4—212no—
92#13063283—212no—
93C2×C4⋊Dic43—212no—
94C2×C4⋊Dic43C2316yes—
95C2×C4⋊Dic43C2313yes—
96C2×C4⋊Dic43C2313yes—
97C2×C4⋊Dic43C2313yes—
98C2×Dic43⋊C4C2313yes—
99C2×Dic43⋊C4C2313yes—
100C2×Dic43⋊C4C2313yes—
101C2×C22⋊Dic43C2311yescharacteristic
102C2×(C2×D43)⋊C4C2313yes—
103C2×(C2×D43)⋊C4C2316yes—
104C2×(C2×D43)⋊C4C2313yes—
105C2×(C2×D43)⋊C4C2316yes—
106C2×(C2×D43)⋊C4C2316yes—
107C2×(C2×D43)⋊C4C2313yes—
108C2×C4×Dic43—212no—
109C2×C4×Dic43C2313yes—
110C2×C4×Dic43C2313yes—
111C2×C4×Dic43C2313yes—
112C2×C4×Dic43C2313yes—
113C2×C4×Dic43C2311yescharacteristic
114C2×C4×Dic43C2313yes—
115C2×C4×Dic43C2313yes—
116C2×C4×Dic43C2311yescharacteristic
117C2×C4×Dic43C2313yes—
118C2×C4×Dic43C2313yes—
119C2×C4×Dic43C2313yes—
120C42×D43—212no—
121C43⋊#95C2313yes—
122C43⋊#95C2316yes—
123C43⋊#95C2316yes—
124C43⋊#95C2313yes—
125C43⋊#95C2311yescharacteristic
126C43⋊#95C2311yescharacteristic
127C22×Q8×C43—24no—
128C22×Q8×C43—24no—
129C22×Q8×C43C2×C418yescomplemented
130C22×Q8×C43C2313yes—
131C22×Q8×C43C2311yescharacteristic
132C23×C4×C43C2313yes—
133C4×Q8×C43—24no—
134C4×Q8×C43—24no—
135C2×C4⋊C4×C43C2313yes—
136C2×C4⋊C4×C43C2313yes—
137C2×C22⋊C4×C43C2313yes—
138C2×C22⋊C4×C43C2311yescharacteristic
139C2×C42×C43C2313yes—
140C2×C42×C43C2313yes—
141#95×C43C2316yes—
142#95×C43C2313yes—
143#95×C43C2313yes—
144C24×C43C2411yescharacteristic
145C23×D43C2413yes—
146C2×Q8×C43—232no—
147C2×Q8×C43—26no—
148C2×Q8×C43—26no—
149C2×Q8×C43C22×C4112yes—
150C2×Q8×C43C22×C414yes—
151C2×Q8×C43C2×D414yes—
152C2×Q8×C43#4114yes—
153C22×C4×C43—26no—
154C22×C4×C43—26no—
155C22×C4×C43C22×C4112yes—
156C22×C4×C43C2413yes—
157C22×C4×C43C2413yes—
158C22×C4×C43C2413yes—
159C22×C4×C43C2411yescharacteristic
160C22×C4×C43C2411yescharacteristic
161C22×C4×C43C2413yes—
162C2×C22⋊D43—26no—
163C2×C22⋊D43—26no—
164C2×C22⋊D43C22×C4112yes—
165C22×Dic43—22no—
166C22×Dic43—22no—
167C22×Dic43—26no—
168C22×Dic43—26no—
169C22×Dic43—43no—
170C22×Dic43#4114yescomplemented
171C22×Dic43C2413yes—
172C22×Dic43C2411yescharacteristic
173C22×Dic43C2411yescharacteristic
174C22×Dic43C2413yes—
175C22×Dic43C2413yes—
176C22×Dic43C2411yescharacteristic
177C22×Dic43C2411yescharacteristic
178#10621902—232no—
179C2×D172—26no—
180C2×D172—26no—
181C2×D172C22×C4112yes—
182C2×C4×D43—26no—
183C2×C4×D43—26no—
184C2×C4×D43—26no—
185C2×C4×D43—26no—
186C2×C4×D43—26no—
187C2×C4×D43—26no—
188C2×C4×D43—26no—
189C2×C4×D43—43no—
190C2×C4×D43C22×C4112yes—
191C4⋊C4×C43—26no—
192C4⋊C4×C43—26no—
193C22⋊C4×C43—26no—
194C22⋊C4×C43#4114yescomplemented
195C42×C43—26no—
196C42×C43—26no—
197C22⋊Dic43C22×C414yes—
198(C2×D43)⋊C4—26no—
199(C2×D43)⋊C4—212no—
200(C2×D43)⋊C4—26no—
201(C2×D43)⋊C4—46no—
202(C2×D43)⋊C4C22×C4112yes—
203(C2×D43)⋊C4C22×C4124yes—
204C4⋊Dic43—26no—
205C4⋊Dic43—212no—
206C4⋊Dic43C22×C4112yes—
207C4⋊Dic43C2×D4112yes—
208Dic43⋊C4—26no—
209Dic43⋊C4—26no—
210Dic43⋊C4C22×C4112yes—
211C4×Dic43—26no—
212C4×Dic43—26no—
213C4×Dic43—22no—
214C4×Dic43—26no—
215C4×Dic43—26no—
216C4×Dic43—26no—
217C4×Dic43—26no—
218C4×Dic43—22no—
219C4×Dic43—43no—
220C4×Dic43C22×C4112yes—
221C4×Dic43C2×D4112yes—
222C23×C43—21no—
223C23×C43—21no—
224C23×C43—21no—
225C23×C43—21no—
226C23×C43C23×C412yes—
227C23×C43C2×#4112yes—
228C23×C43C2×#4112yes—
229C23×C43C2511yescharacteristic
230C22×D43—23no—
231C22×D43—23no—
232C22×D43—23no—
233C22×D43—23no—
234C22×D43—23no—
235C22×D43—23no—
236C22×D43C23×C416yes—
237Q8×C43—224no—
238Q8×C43C4×D4116yescomplemented
239C2×C4×C43—23no—
240C2×C4×C43—21no—
241C2×C4×C43—21no—
242C2×C4×C43—23no—
243C2×C4×C43—21no—
244C2×C4×C43—21no—
245C2×C4×C43—224no—
246C2×C4×C43—23no—
247C2×C4×C43—23no—
248C2×C4×C43—23no—
249C2×C4×C43—23no—
250C2×C4×C43—23no—
251C2×C4×C43—23no—
252C2×C4×C43C23×C416yes—
253C2×C4×C43C23×C416yes—
254C2×C4×C43C22×D416yes—
255C2×C4×C43C2×#4116yes—
256C2×C4×C43C2×#4112yes—
257C2×C4×C43C2×#4112yes—
258C22⋊D43—224no—
259C2×Dic43—21no—
260C2×Dic43—21no—
261C2×Dic43—23no—
262C2×Dic43—23no—
263C2×Dic43—23no—
264C2×Dic43—21no—
265C2×Dic43—21no—
266C2×Dic43—21no—
267C2×Dic43—21no—
268C2×Dic43—23no—
269C2×Dic43—28no—
270C2×Dic43—23no—
271C2×Dic43—23no—
272C2×Dic43—23no—
273C2×Dic43—412no—
274C2×Dic43C23×C412yes—
275C2×Dic43C23×C416yes—
276C2×Dic43C23×C412yes—
277C2×Dic43C22×D416yes—
278C2×Dic43C22×D412yes—
279C2×Dic43C2×#4112yes—
280C2×Dic43C2×#4112yes—
281C2×Dic432−1+412yes—
282D172—224no—
283C4×D43—224no—
284C4×D43—412no—
285C4×D43—412no—
286C4×#548—431nomaximal, Sylow
287C22×C43—22no—
288C22×C43—22no—
289C22×C43—22no—
290C22×C43—22no—
291C22×C43—22no—
292C22×C43—22no—
293C22×C43C4×#4114yescomplemented
294C22×C43C24×C411yescharacteristic
295C22×C43C23×D411yescharacteristic
296C22×C43C22×#4111yescharacteristic
297C22×C43C22×#4111yescharacteristic
298C22×C43C22×#4111yescharacteristic
299C22×C43C2×2−1+411yescharacteristic
300C22×C43#58511yescharacteristic
301C2×D43—26no—
302C2×D43—26no—
303C2×D43—26no—
304C2×D43—43no—
305C2×D43—43no—
306C2×D43—43no—
307C2×D43—43no—
308C4×C43—26no—
309C4×C43—22no—
310C4×C43—22no—
311C4×C43—43no—
312C4×C43—43no—
313C4×C43C2×C4×D4112yes—
314Dic43—22no—
315Dic43—26no—
316Dic43—22no—
317Dic43—22no—
318Dic43—26no—
319Dic43—43no—
320Dic43#54814yescomplemented
321C2×#548—431no—
322C2×C4×#41—431no—
323C22×C4×Q8—431no—
324#2367—433no—
325#2362—433no—
326#2361—433no—
327#2352—433no—
328#2351—431no—
329#2341—431no—
330Q8×C22⋊C4D4311yescharacteristic, complemented
331C4×#124—433no—
332C4×C22⋊Q8—433no—
333C4×#121—433no—
334C42×Q8—431no—
335C42×D4—433no—
336C2×C43—24no—
337C2×C43C22×C4×D411yescharacteristic
338C2×C43C2×C4×#4111yescharacteristic
339C2×C43C4×2−1+411yescharacteristic
340C2×C43C2×#54811yescharacteristic
341C2×C43D4×#4111yescharacteristic
342C2×C43#348011yescharacteristic
343C2×C43#348211yescharacteristic
344D43—46no—
345C22×#41—431no—
346C23×Q8C2×D4311yescharacteristic
347#548—4316no—
348C2×#124—433no—
349C2×C22⋊Q8—433no—
350C2×#121—433no—
351C4×#41—868no—
352C2×C4×Q8—431no—
353C2×C4×Q8—431no—
354C2×C4×Q8—431no—
355C2×C4×Q8—433no—
356C2×C4×Q8—433no—
357C2×C4×Q8—868no—
358C2×C4×Q8C2×D4311yescharacteristic
359C2×C4×Q8C2×D4311yescharacteristic
360C2×C4×D4—433no—
361C2×C4×D4—433no—
362C2×C4×D4—433no—
363C2×C4×D4—433no—
364C2×C4×D4—433no—
365C2×#117—433no—
366C22×C4⋊C4—433no—
367C22×C42—433no—
368C22×C42—433no—
369#391C2×D4313yes—
370#391C2×D4313yes—
371#390—433no—
372#390—433no—
373#389—433no—
374#389—433no—
375#388—436no—
376#388—436no—
377#388—436no—
378#387—436no—
379#386—436no—
380#385—436no—
381#382—433no—
382#380—433no—
383#380C2×D4313yes—
384C4×C4⋊C4—433no—
385C4×C4⋊C4—433no—
386C4×C4⋊C4—433no—
387C4×C4⋊C4—433no—
388C4×C4⋊C4—433no—
389C4×C4⋊C4—433no—
390C4×C22⋊C4—433no—
391C4×C22⋊C4—431no—
392C4×C22⋊C4—433no—
393C4×C22⋊C4—433no—
394C4×C22⋊C4—433no—
395C4×C22⋊C4—436no—
396C4×C22⋊C4C2×D4313yes—
397C43—433no—
398C43C4×#54811yescharacteristic, complemented, Sylow
399C2×#41—438no—
400C2×#41—864no—
401C2×#41—864no—
402C22×Q8—24no—
403C22×Q8—24no—
404C22×Q8C4×D4318yescomplemented
405C22×Q8C22×D4313yes—
406C22×Q8C22×D4311yescharacteristic
407C22×D4—433no—
408C22×D4—433no—
409C23×C4—431no—
410C23×C4—433no—
411C23×C4—433no—
412C23×C4—433no—
413C23×C4—433no—
414C23×C4C22×D4313yes—
415#124—4324no—
416C22⋊Q8—4324no—
417#121—4324no—
418C4×Q8—24no—
419C4×Q8—24no—
420C4×Q8—438no—
421C4×Q8—438no—
422C4×Q8—8612no—
423C4×Q8—8612no—
424C4×Q8—864no—
425C4×D4—4324no—
426C4×D4—8612no—
427C4×D4—8612no—
428C4×D4—8612no—
429C4×D4—8612no—
430#117—8612no—
431C2×C4⋊C4—433no—
432C2×C4⋊C4—433no—
433C2×C4⋊C4—433no—
434C2×C4⋊C4—433no—
435C2×C4⋊C4—436no—
436C2×C4⋊C4—433no—
437C2×C4⋊C4—433no—
438C2×C4⋊C4—8612no—
439C2×C4⋊C4C22×D4313yes—
440C2×C4⋊C4C22×D4313yes—
441C2×C22⋊C4—431no—
442C2×C22⋊C4—433no—
443C2×C22⋊C4—436no—
444C2×C22⋊C4—436no—
445C2×C22⋊C4—433no—
446C2×C22⋊C4—433no—
447C2×C22⋊C4—436no—
448C2×C22⋊C4C22×D4313yes—
449C2×C22⋊C4C22×D4311yescharacteristic
450C2×C42—433no—
451C2×C42—433no—
452C2×C42—433no—
453C2×C42—433no—
454C2×C42—433no—
455C2×C42—433no—
456C2×C42—433no—
457C2×C42—433no—
458C2×C42—431no—
459C2×C42—431no—
460C2×C42—433no—
461C2×C42—8612no—
462C2×C42—8612no—
463C2×C42C22×D4313yes—
464C2×C42C22×D4313yes—
465#95—431no—
466#95—431no—
467#95—433no—
468#95—433no—
469#95—436no—
470#95—436no—
471#95C22×D4313yes—
472#95C22×D4313yes—
473#95C22×D4316yes—
474C24—433no—
475C24C23×D4311yescharacteristic
476#41—8632no—
477C2×Q8—232no—
478C2×Q8—26no—
479C2×Q8—26no—
480C2×Q8C2×C4×D43112yes—
481C2×Q8C2×C4×D4314yes—
482C2×Q8D4×D4314yes—
483C2×Q8#1062190014yes—
484C2×D4—4312no—
485C2×D4—4312no—
486C2×D4—866no—
487C2×D4—866no—
488C2×D4—866no—
489C2×D4—866no—
490C22×C4—26no—
491C22×C4—26no—
492C22×C4—431no—
493C22×C4—434no—
494C22×C4—431no—
495C22×C4—431no—
496C22×C4—433no—
497C22×C4—431no—
498C22×C4—433no—
499C22×C4—4312no—
500C22×C4—433no—
501C22×C4—866no—
502C22×C4—866no—
503C22×C4—866no—
504C22×C4—866no—
505C22×C4—862no—
506C22×C4—862no—
507C22×C4—866no—
508C22×C4—866no—
509C22×C4—866no—
510C22×C4—866no—
511C22×C4—866no—
512C22×C4—1723no—
513C22×C4—1723no—
514C22×C4C2×C4×D43112yes—
515C22×C4C23×D4313yes—
516C22×C4C23×D4313yes—
517C22×C4C23×D4313yes—
518C22×C4C23×D4311yescharacteristic
519C22×C4C23×D4311yescharacteristic
520C22×C4C23×D4313yes—
521C4⋊C4—26no—
522C4⋊C4—26no—
523C4⋊C4—4312no—
524C4⋊C4—4312no—
525C4⋊C4—4312no—
526C4⋊C4—8612no—
527C4⋊C4—866no—
528C4⋊C4—866no—
529C4⋊C4—866no—
530C22⋊C4—26no—
531C22⋊C4—434no—
532C22⋊C4—4312no—
533C22⋊C4—4324no—
534C22⋊C4—8612no—
535C22⋊C4—866no—
536C22⋊C4—866no—
537C22⋊C4—1726no—
538C22⋊C4#1062190214yescomplemented
539C42—26no—
540C42—26no—
541C42—4312no—
542C42—4312no—
543C42—862no—
544C42—866no—
545C42—866no—
546C42—866no—
547C42—866no—
548C42—862no—
549C42—866no—
550C42—866no—
551C42—1723no—
552C23—21no—
553C23—21no—
554C23—21no—
555C23—21no—
556C23—436no—
557C23—863no—
558C23—863no—
559C23—863no—
560C23—863no—
561C23—863no—
562C23—863no—
563C23C22×C4×D4312yes—
564C23#41×D4312yes—
565C23C2×#1062190212yes—
566C23C24×D4311yescharacteristic
567Q8—224no—
568Q8(C22⋊D43)⋊C4116yescomplemented
569D4—8624no—
570D4—8624no—
571C2×C4—21no—
572C2×C4—23no—
573C2×C4—21no—
574C2×C4—23no—
575C2×C4—21no—
576C2×C4—21no—
577C2×C4—224no—
578C2×C4—23no—
579C2×C4—23no—
580C2×C4—23no—
581C2×C4—23no—
582C2×C4—23no—
583C2×C4—23no—
584C2×C4—432no—
585C2×C4—432no—
586C2×C4—432no—
587C2×C4—432no—
588C2×C4—436no—
589C2×C4—432no—
590C2×C4—436no—
591C2×C4—432no—
592C2×C4—868no—
593C2×C4—861no—
594C2×C4—861no—
595C2×C4—863no—
596C2×C4—861no—
597C2×C4—863no—
598C2×C4—863no—
599C2×C4—861no—
600C2×C4—861no—
601C2×C4—861no—
602C2×C4—863no—
603C2×C4—8624no—
604C2×C4—863no—
605C2×C4—863no—
606C2×C4—863no—
607C2×C4—17212no—
608C2×C4—17212no—
609C2×C4—17212no—
610C2×C4C22×C4×D4316yes—
611C2×C4C22×C4×D4316yes—
612C2×C4C2×D4×D4316yes—
613C2×C4C2×#1062190016yes—
614C2×C4C2×#1062190212yes—
615C2×C4C2×#1062190212yes—
616C22—22no—
617C22—22no—
618C22—22no—
619C22—22no—
620C22—22no—
621C22—22no—
622C22—866no—
623C22—866no—
624C22—866no—
625C22—1723no—
626C22—1723no—
627C22—1723no—
628C22—1723no—
629C22C4×#1062190214yescomplemented
630C22C23×C4×D4311yescharacteristic
631C22C22×D4×D4311yescharacteristic
632C22C2×#41×D4311yescharacteristic
633C22C22×#1062190011yescharacteristic
634C22C22×#1062190211yescharacteristic
635C222−1+4×D4311yescharacteristic
636C22#1458373611yescharacteristic
637C4—22no—
638C4—22no—
639C4—26no—
640C4—43no—
641C4—43no—
642C4—434no—
643C4—866no—
644C4—862no—
645C4—862no—
646C4—866no—
647C4—862no—
648C4—1723no—
649C4C2×(C22⋊D43)⋊C4112yes—
650C2—24no—
651C2—1726no—
652C2C22×(C22⋊D43)⋊C411yescharacteristic
653C2C2×C4×#1062190211yescharacteristic
654C2#1914780411yescharacteristic
655C2#548×D4311yescharacteristic
656C2D4×#1062190211yescharacteristic
657C2#1914818511yescharacteristic
658C2#1914821611yescharacteristic
subgroupG/H
center, FrattiniC23C24×D43
commutatorC22×C43C24×C4
FittingQ8×C22⋊C4×C43C2
socle, cosocleC23×C43C25
prime radicalC2×#14583560C2
hypercenterQ8×C22⋊C4D43
hypocenterC43C4×#548
LCSG ▷ C22×C43 ▷ C43
UCSC1 ◁ C23 ◁ Q8×C22⋊C4

Complements

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

NH ≅ G/Ntype
2. C2×C4×#10621902C2semidirect
3. C22×Q8×Dic43C2semidirect
4. #19137671C2semidirect
5. #19137627C2semidirect
6. #19137609C2semidirect
7. #19137526C2semidirect
8. #19137513C2semidirect
9. #19137433C2semidirect
10. #19137138C2semidirect
11. #19137133C2semidirect
12. #19137101C2semidirect
13. C4×Q8×Dic43C2semidirect
14. C4×(C22⋊D43)⋊C4C2semidirect
15. Q8×C22⋊C4×C43C2semidirect
17. #14583560C4semidirect
71. C2×#10621902C2×C4semidirect
79. #13063314C2×C4semidirect
80. #13063301C2×C4semidirect
81. #13063299C2×C4semidirect
85. Q8×Dic43C2×C4semidirect
86. Q8×Dic43D4semidirect
89. C4×C22⋊D43C2×C4semidirect
129. C22×Q8×C43C2×C4semidirect
170. C22×Dic43#41semidirect
194. C22⋊C4×C43#41semidirect
238. Q8×C43C4×D4semidirect
293. C22×C43C4×#41semidirect
320. Dic43#548semidirect
330. Q8×C22⋊C4D43semidirect
398. C43C4×#548semidirect
404. C22×Q8C4×D43semidirect
538. C22⋊C4#10621902semidirect
568. Q8(C22⋊D43)⋊C4semidirect
629. C22C4×#10621902semidirect

Maximal subgroups

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

subgroupindex
C2×#145835602
C2×C4×#106219022
C22×Q8×Dic432
#191376712
#191376272
#191376092
#191375262
#191375132
#191374332
#191371382
#191371332
#191371012
C4×Q8×Dic432
C4×(C22⋊D43)⋊C42
Q8×C22⋊C4×C432
C4×#54843