Finite Group Databasebeta

← #548×Dic43 #25256425

Subgroups — #548×Dic43 #25256425

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×#41×Dic43C211yesmaximal, characteristic, complemented
2C22×Q8×Dic43C211yesmaximal, characteristic, complemented
3#19137670C213yesmaximal, complemented
4#19137626C213yesmaximal, complemented
5#19137615C213yesmaximal, complemented
6#19137524C213yesmaximal, complemented
7#19137516C211yesmaximal, characteristic, complemented
8#19137436C211yesmaximal, characteristic, complemented
9Q8×C22⋊Dic43C211yesmaximal, characteristic, complemented
10#124×Dic43C213yesmaximal, complemented
11C22⋊Q8×Dic43C213yesmaximal, complemented
12#121×Dic43C213yesmaximal, complemented
13C4×Q8×Dic43C211yesmaximal, characteristic, complemented
14C4×D4×Dic43C213yesmaximal, complemented
15C2×C43×#548C211yesmaximal, characteristic
16#41×Dic43—28no—
17C2×Q8×Dic43—28no—
18C2×Q8×Dic43C2211yescharacteristic
19C2×Q8×Dic43C2213yes—
20C2×Q8×Dic43C2213yes—
21C2×Q8×Dic43C2211yescharacteristic
22C2×Q8×Dic43C2211yescharacteristic
23C2×Q8×Dic43C2211yescharacteristic
24C2×D4×Dic43C2213yes—
25C2×D4×Dic43C2213yes—
26C2×D4×Dic43C2213yes—
27C2×D4×Dic43C2213yes—
28C2×#13063284C2213yes—
29C22×C4⋊Dic43C2213yes—
30C22×C4×Dic43C2213yes—
31C22×C4×Dic43C2213yes—
32#14582806C2213yes—
33#14582806C2213yes—
34#14582802C2213yes—
35#14582802C2213yes—
36#14582798C2213yes—
37#14582798C2213yes—
38#14582792C2216yes—
39#14582792C2216yes—
40#14582792C2216yes—
41#14582785C2216yes—
42#14582779C2216yes—
43#14582774C2216yes—
44#14582765C2213yes—
45#14582759C2213yes—
46#14582759C2213yes—
47C4⋊C4×Dic43C2213yes—
48C4⋊C4×Dic43C2213yes—
49C4⋊C4×Dic43C2213yes—
50C4⋊C4×Dic43C2213yes—
51C4×C4⋊Dic43C2213yes—
52C4×C4⋊Dic43C2213yes—
53C22⋊C4×Dic43C2216yes—
54C22⋊C4×Dic43C2213yes—
55C22⋊C4×Dic43C2213yes—
56C22⋊C4×Dic43C2211yescharacteristic
57C22⋊C4×Dic43C2213yes—
58C4×C22⋊Dic43C2213yes—
59C4×C22⋊Dic43C2213yes—
60C42×Dic43C2213yes—
61C22×#41×C43C2211yescharacteristic
62C23×Q8×C43C2211yescharacteristic
63C43×#548C4116yescomplemented
64C2×#124×C43C2213yes—
65C2×C22⋊Q8×C43C2213yes—
66C2×#121×C43C2213yes—
67C2×C4×Q8×C43C2211yescharacteristic
68C2×C4×D4×C43C2213yes—
69C23×Dic43C2313yes—
70C23×Dic43C2313yes—
71C23×Dic43C2313yes—
72C23×Dic43C2311yescharacteristic
73Q8×Dic43—24no—
74Q8×Dic43—24no—
75Q8×Dic43—24no—
76Q8×Dic43—212no—
77Q8×Dic43—212no—
78Q8×Dic43D418yescomplemented
79D4×Dic43—212no—
80D4×Dic43—212no—
81D4×Dic43—212no—
82D4×Dic43—212no—
83#13063284—212no—
84C2×C4⋊Dic43—212no—
85C2×C4⋊Dic43C2316yes—
86C2×C4⋊Dic43C2313yes—
87C2×C4⋊Dic43C2313yes—
88C2×C4⋊Dic43C2313yes—
89C2×C4⋊Dic43C2313yes—
90C2×C4⋊Dic43C2313yes—
91C2×C4⋊Dic43C2313yes—
92C2×C22⋊Dic43C2316yes—
93C2×C22⋊Dic43C2313yes—
94C2×C22⋊Dic43C2313yes—
95C2×C22⋊Dic43C2313yes—
96C2×C22⋊Dic43C2316yes—
97C2×C22⋊Dic43C2311yescharacteristic
98C2×C4×Dic43—212no—
99C2×C4×Dic43—212no—
100C2×C4×Dic43C2313yes—
101C2×C4×Dic43C2313yes—
102C2×C4×Dic43C2313yes—
103C2×C4×Dic43C2313yes—
104C2×C4×Dic43C2313yes—
105C2×C4×Dic43C2313yes—
106C2×C4×Dic43C2311yescharacteristic
107C2×C4×Dic43C2313yes—
108C2×C4×Dic43C2313yes—
109C2×C4×Dic43C2311yescharacteristic
110C2×C4×Dic43C2313yes—
111C2×C4×Dic43C2313yes—
112C43⋊#95C2313yes—
113C43⋊#95C2316yes—
114C43⋊#95C2316yes—
115C43⋊#95C2316yes—
116C43⋊#95C2313yes—
117C43⋊#95C2313yes—
118C43⋊#95C2313yes—
119C43⋊#95C2311yescharacteristic
120C43⋊#95C2311yescharacteristic
121C2×#41×C43—24no—
122C2×#41×C43—24no—
123C2×#41×C43C2×C418yescomplemented
124C22×Q8×C43—24no—
125C22×Q8×C43—24no—
126C22×Q8×C43C2×C418yescomplemented
127C22×Q8×C43C2313yes—
128C22×Q8×C43C2311yescharacteristic
129C22×D4×C43C2313yes—
130C22×D4×C43C2313yes—
131C23×C4×C43C2313yes—
132C23×C4×C43C2313yes—
133#124×C43C2×C4124yescomplemented
134C22⋊Q8×C43C2×C4124yescomplemented
135#121×C43C2×C4124yescomplemented
136C4×Q8×C43C2×C418yescomplemented
137C4×D4×C43C2×C4124yescomplemented
138C2×C4⋊C4×C43C2313yes—
139C2×C4⋊C4×C43C2313yes—
140C2×C22⋊C4×C43C2313yes—
141C2×C22⋊C4×C43C2316yes—
142C2×C22⋊C4×C43C2311yescharacteristic
143C2×C42×C43C2313yes—
144C24×C43C2413yes—
145C24×C43C2411yescharacteristic
146#41×C43—232no—
147C2×Q8×C43—232no—
148C2×Q8×C43—26no—
149C2×Q8×C43—26no—
150C2×Q8×C43C22×C4112yes—
151C2×Q8×C43C22×C414yes—
152C2×Q8×C43C2×D414yes—
153C2×Q8×C43#4114yes—
154C2×D4×C43—26no—
155C2×D4×C43—26no—
156C2×D4×C43—26no—
157C2×D4×C43—26no—
158C2×D4×C43C22×C4112yes—
159C2×D4×C43C22×C4112yes—
160C22×C4×C43—26no—
161C22×C4×C43—26no—
162C22×C4×C43—26no—
163C22×C4×C43—26no—
164C22×C4×C43C22×C4112yes—
165C22×C4×C43C22×C4112yes—
166C22×C4×C43C2411yescharacteristic
167C22×C4×C43C2413yes—
168C22×C4×C43C2413yes—
169C22×C4×C43C2411yescharacteristic
170C22×C4×C43C2413yes—
171C22×Dic43—22no—
172C22×Dic43—22no—
173C22×Dic43—26no—
174C22×Dic43—26no—
175C22×Dic43—26no—
176C22×Dic43—26no—
177C22×Dic43—26no—
178C22×Dic43—26no—
179C22×Dic43—26no—
180C22×Dic43—43no—
181C22×Dic43—43no—
182C22×Dic43#4114yescomplemented
183C22×Dic43C2413yes—
184C22×Dic43C2413yes—
185C22×Dic43C2413yes—
186C22×Dic43C2413yes—
187C22×Dic43C2411yescharacteristic
188C22×Dic43C2411yescharacteristic
189C22×Dic43C2411yescharacteristic
190C22×Dic43C2411yescharacteristic
191C4⋊C4×C43C22×C4112yes—
192C4⋊C4×C43C22×C4112yes—
193C22⋊C4×C43C22×C414yes—
194C22⋊C4×C43C22×C4112yes—
195C22⋊C4×C43C22×C4124yes—
196C42×C43C22×C4112yes—
197C22⋊Dic43—212no—
198C22⋊Dic43—26no—
199C22⋊Dic43—26no—
200C22⋊Dic43—26no—
201C22⋊Dic43—46no—
202C22⋊Dic43#4114yescomplemented
203C4⋊Dic43—26no—
204C4⋊Dic43—26no—
205C4⋊Dic43—26no—
206C4⋊Dic43—212no—
207C4⋊Dic43—26no—
208C4⋊Dic43—26no—
209C4⋊Dic43C2×D4112yes—
210C4×Dic43—26no—
211C4×Dic43—26no—
212C4×Dic43—26no—
213C4×Dic43—22no—
214C4×Dic43—26no—
215C4×Dic43—26no—
216C4×Dic43—26no—
217C4×Dic43—26no—
218C4×Dic43—26no—
219C4×Dic43—22no—
220C4×Dic43—43no—
221C4×Dic43C2×D4112yes—
222C23×C43—21no—
223C23×C43—21no—
224C23×C43—21no—
225C23×C43—21no—
226C23×C43—23no—
227C23×C43—23no—
228C23×C43—23no—
229C23×C43—23no—
230C23×C43—23no—
231C23×C43—23no—
232C23×C43C23×C416yes—
233C23×C43C23×C412yes—
234C23×C43C2×#4112yes—
235C23×C43C2×#4112yes—
236C23×C43C2511yescharacteristic
237Q8×C43—224no—
238Q8×C43C4×D4116yescomplemented
239D4×C43—224no—
240D4×C43—224no—
241C2×C4×C43—21no—
242C2×C4×C43—23no—
243C2×C4×C43—23no—
244C2×C4×C43—23no—
245C2×C4×C43—21no—
246C2×C4×C43—23no—
247C2×C4×C43—21no—
248C2×C4×C43—21no—
249C2×C4×C43—224no—
250C2×C4×C43—224no—
251C2×C4×C43C23×C412yes—
252C2×C4×C43C23×C416yes—
253C2×C4×C43C23×C416yes—
254C2×C4×C43C23×C412yes—
255C2×C4×C43C23×C416yes—
256C2×C4×C43C22×D416yes—
257C2×C4×C43C2×#4116yes—
258C2×Dic43—21no—
259C2×Dic43—21no—
260C2×Dic43—21no—
261C2×Dic43—23no—
262C2×Dic43—21no—
263C2×Dic43—21no—
264C2×Dic43—23no—
265C2×Dic43—21no—
266C2×Dic43—28no—
267C2×Dic43—23no—
268C2×Dic43—23no—
269C2×Dic43—23no—
270C2×Dic43—23no—
271C2×Dic43—23no—
272C2×Dic43—23no—
273C2×Dic43—23no—
274C2×Dic43—23no—
275C2×Dic43—23no—
276C2×Dic43—412no—
277C2×Dic43—412no—
278C2×Dic43—412no—
279C2×Dic43C22×D416yes—
280C2×Dic43C22×D412yes—
281C2×Dic43C2×#4112yes—
282C2×Dic43C2×#4112yes—
283C2×Dic43C2×#4112yes—
284C2×Dic43C2×#4112yes—
285C2×Dic432−1+412yes—
286C4×#548—431nomaximal, Sylow
287C22×C43—22no—
288C22×C43—22no—
289C22×C43—22no—
290C22×C43—22no—
291C22×C43—22no—
292C22×C43—22no—
293C22×C43—26no—
294C22×C43—26no—
295C22×C43—26no—
296C22×C43—43no—
297C22×C43—43no—
298C22×C43—43no—
299C22×C43—43no—
300C22×C43C4×#4114yescomplemented
301C22×C43C24×C411yescharacteristic
302C22×C43C23×D411yescharacteristic
303C22×C43C22×#4111yescharacteristic
304C22×C43C22×#4111yescharacteristic
305C22×C43C22×#4111yescharacteristic
306C22×C43C2×2−1+411yescharacteristic
307C22×C43#58511yescharacteristic
308C4×C43—22no—
309C4×C43—26no—
310C4×C43—26no—
311C4×C43—22no—
312C4×C43C2×C4×D4112yes—
313Dic43—22no—
314Dic43—22no—
315Dic43—26no—
316Dic43—22no—
317Dic43—43no—
318Dic43—43no—
319Dic43—43no—
320Dic43#54814yesdirect product factor
321C2×#548D4311yescharacteristic
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⋊C4—431no—
331C4×#124—433no—
332C4×C22⋊Q8—433no—
333C4×#121—433no—
334C42×Q8—431no—
335C42×D4—433no—
336C2×C43—24no—
337C2×C43—46no—
338C2×C43C22×C4×D411yescharacteristic
339C2×C43C2×C4×#4111yescharacteristic
340C2×C43C4×2−1+411yescharacteristic
341C2×C43C2×#54811yescharacteristic
342C2×C43D4×#4111yescharacteristic
343C2×C43#348011yescharacteristic
344C2×C43#348211yescharacteristic
345C22×#41C2×D4311yescharacteristic
346C23×Q8C2×D4311yescharacteristic
347#548Dic43116yesdirect product factor
348C2×#124C2×D4313yes—
349C2×C22⋊Q8C2×D4313yes—
350C2×#121C2×D4313yes—
351C4×#41—868no—
352C2×C4×Q8—431no—
353C2×C4×Q8—431no—
354C2×C4×Q8—431no—
355C2×C4×Q8—431no—
356C2×C4×Q8—433no—
357C2×C4×Q8—433no—
358C2×C4×Q8—868no—
359C2×C4×Q8C2×D4311yescharacteristic
360C2×C4×D4—433no—
361C2×C4×D4—433no—
362C2×C4×D4—433no—
363C2×C4×D4—433no—
364C2×C4×D4C2×D4313yes—
365C2×#117—433no—
366C22×C4⋊C4—433no—
367C22×C42—433no—
368C22×C42—433no—
369#391—433no—
370#391—433no—
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#380—433no—
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—433no—
392C4×C22⋊C4—433no—
393C4×C22⋊C4—433no—
394C4×C22⋊C4—431no—
395C4×C22⋊C4—433no—
396C4×C22⋊C4—436no—
397C43—433no—
398C43C4×#54811yescharacteristic, complemented, Sylow
399C2×#41—24no—
400C2×#41—24no—
401C2×#41C2×Dic4318yescomplemented
402C22×Q8—24no—
403C22×Q8—24no—
404C22×Q8C2×Dic4318yescomplemented
405C22×Q8C22×D4313yes—
406C22×Q8C22×D4311yescharacteristic
407C22×D4C22×D4313yes—
408C22×D4C22×D4313yes—
409C23×C4—431no—
410C23×C4—433no—
411C23×C4—433no—
412C23×C4—433no—
413C23×C4C22×D4313yes—
414C23×C4C22×D4313yes—
415#124C2×Dic43124yescomplemented
416C22⋊Q8C2×Dic43124yescomplemented
417#121C2×Dic43124yescomplemented
418C4×Q8—438no—
419C4×Q8—8612no—
420C4×Q8—8612no—
421C4×Q8—864no—
422C4×Q8—864no—
423C4×Q8—864no—
424C4×Q8C2×Dic4318yescomplemented
425C4×D4—8612no—
426C4×D4—8612no—
427C4×D4—8612no—
428C4×D4—8612no—
429C4×D4C2×Dic43124yescomplemented
430#117—8612no—
431C2×C4⋊C4—433no—
432C2×C4⋊C4—433no—
433C2×C4⋊C4—436no—
434C2×C4⋊C4—433no—
435C2×C4⋊C4—433no—
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—436no—
443C2×C22⋊C4—433no—
444C2×C22⋊C4—433no—
445C2×C22⋊C4—433no—
446C2×C22⋊C4—436no—
447C2×C22⋊C4C22×D4311yescharacteristic
448C2×C22⋊C4C22×D4313yes—
449C2×C22⋊C4C22×D4316yes—
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—433no—
459C2×C42—431no—
460C2×C42—431no—
461C2×C42—433no—
462C2×C42—8612no—
463C2×C42—8612no—
464C2×C42C22×D4313yes—
465#95—431no—
466#95—431no—
467#95—433no—
468#95—433no—
469#95—433no—
470#95—433no—
471#95—436no—
472#95—436no—
473#95—436no—
474C24C23×D4313yes—
475C24C23×D4311yescharacteristic
476#41—232no—
477C2×Q8—232no—
478C2×Q8—26no—
479C2×Q8—26no—
480C2×Q8D4×D4314yes—
481C2×Q8#1062190014yes—
482C2×Q8C22×Dic43112yes—
483C2×Q8C22×Dic4314yes—
484C2×D4—26no—
485C2×D4—26no—
486C2×D4—26no—
487C2×D4—26no—
488C2×D4C22×Dic43112yes—
489C2×D4C22×Dic43112yes—
490C22×C4—26no—
491C22×C4—26no—
492C22×C4—26no—
493C22×C4—26no—
494C22×C4—431no—
495C22×C4—434no—
496C22×C4—431no—
497C22×C4—431no—
498C22×C4—431no—
499C22×C4—433no—
500C22×C4—433no—
501C22×C4—433no—
502C22×C4—433no—
503C22×C4—862no—
504C22×C4—862no—
505C22×C4—866no—
506C22×C4—866no—
507C22×C4—866no—
508C22×C4—866no—
509C22×C4—866no—
510C22×C4—866no—
511C22×C4—866no—
512C22×C4—1723no—
513C22×C4—1723no—
514C22×C4C22×Dic43112yes—
515C22×C4C22×Dic43112yes—
516C22×C4C23×D4311yescharacteristic
517C22×C4C23×D4311yescharacteristic
518C22×C4C23×D4313yes—
519C22×C4C23×D4313yes—
520C22×C4C23×D4313yes—
521C4⋊C4—4312no—
522C4⋊C4—8612no—
523C4⋊C4—866no—
524C4⋊C4—866no—
525C4⋊C4—866no—
526C4⋊C4—866no—
527C4⋊C4—866no—
528C4⋊C4C22×Dic43112yes—
529C4⋊C4C22×Dic43112yes—
530C22⋊C4—434no—
531C22⋊C4—8612no—
532C22⋊C4—866no—
533C22⋊C4—866no—
534C22⋊C4—866no—
535C22⋊C4—1726no—
536C22⋊C4C22×Dic4314yes—
537C22⋊C4C22×Dic43112yes—
538C22⋊C4C22×Dic43124yes—
539C42—4312no—
540C42—862no—
541C42—866no—
542C42—866no—
543C42—866no—
544C42—866no—
545C42—866no—
546C42—862no—
547C42—866no—
548C42—866no—
549C42—866no—
550C42—1723no—
551C42C22×Dic43112yes—
552C23—21no—
553C23—21no—
554C23—21no—
555C23—21no—
556C23—23no—
557C23—23no—
558C23—23no—
559C23—23no—
560C23—23no—
561C23—23no—
562C23C23×Dic4316yes—
563C23C23×Dic4312yes—
564C23#41×D4312yes—
565C23#41×D4312yes—
566C23C24×D4311yescharacteristic
567Q8—224no—
568Q8D4×Dic43116yescomplemented
569D4—224no—
570D4—224no—
571C2×C4—21no—
572C2×C4—23no—
573C2×C4—23no—
574C2×C4—23no—
575C2×C4—21no—
576C2×C4—23no—
577C2×C4—21no—
578C2×C4—21no—
579C2×C4—224no—
580C2×C4—224no—
581C2×C4—432no—
582C2×C4—432no—
583C2×C4—432no—
584C2×C4—436no—
585C2×C4—432no—
586C2×C4—432no—
587C2×C4—432no—
588C2×C4—868no—
589C2×C4—861no—
590C2×C4—861no—
591C2×C4—863no—
592C2×C4—861no—
593C2×C4—861no—
594C2×C4—861no—
595C2×C4—863no—
596C2×C4—861no—
597C2×C4—863no—
598C2×C4—863no—
599C2×C4—863no—
600C2×C4—863no—
601C2×C4—863no—
602C2×C4—863no—
603C2×C4—863no—
604C2×C4—863no—
605C2×C4—863no—
606C2×C4—17212no—
607C2×C4—17212no—
608C2×C4—17212no—
609C2×C4C23×Dic4312yes—
610C2×C4C23×Dic4316yes—
611C2×C4C23×Dic4316yes—
612C2×C4C23×Dic4312yes—
613C2×C4C23×Dic4316yes—
614C2×C4C2×D4×D4316yes—
615C2×C4C2×#1062190016yes—
616C22—22no—
617C22—22no—
618C22—22no—
619C22—22no—
620C22—22no—
621C22—22no—
622C22—26no—
623C22—26no—
624C22—26no—
625C22—43no—
626C22—43no—
627C22—43no—
628C22—43no—
629C22#41×Dic4314yescomplemented
630C22C24×Dic4311yescharacteristic
631C22C22×D4×D4311yescharacteristic
632C22C2×#41×D4311yescharacteristic
633C22C2×#41×D4311yescharacteristic
634C22C22×#1062190011yescharacteristic
635C222−1+4×D4311yescharacteristic
636C22#1458373611yescharacteristic
637C4—26no—
638C4—22no—
639C4—22no—
640C4—26no—
641C4—434no—
642C4—862no—
643C4—862no—
644C4—866no—
645C4—862no—
646C4—1723no—
647C4—1723no—
648C4—1723no—
649C4C2×D4×Dic43112yes—
650C2—24no—
651C2—46no—
652C2C22×D4×Dic4311yescharacteristic
653C2C2×#41×Dic4311yescharacteristic
654C22−1+4×Dic4311yescharacteristic
655C2#548×D4311yescharacteristic
656C2#1914808411yescharacteristic
657C2#1914818511yescharacteristic
658C2#1914821111yescharacteristic
subgroupG/H
center, FrattiniC23C24×D43
commutatorC22×C43C24×C4
Fitting, prime radicalC2×C43×#548C2
socle, cosocleC23×C43C25
hypercenterC2×#548D43
hypocenterC43C4×#548
LCSG ▷ C22×C43 ▷ C43
UCSC1 ◁ C23 ◁ C2×#548

Complements

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

NH ≅ G/Ntype
1. C2×#41×Dic43C2semidirect
2. C22×Q8×Dic43C2semidirect
3. #19137670C2semidirect
4. #19137626C2semidirect
5. #19137615C2semidirect
6. #19137524C2semidirect
7. #19137516C2semidirect
8. #19137436C2semidirect
9. Q8×C22⋊Dic43C2semidirect
10. #124×Dic43C2semidirect
11. C22⋊Q8×Dic43C2semidirect
12. #121×Dic43C2semidirect
13. C4×Q8×Dic43C2semidirect
14. C4×D4×Dic43C2semidirect
63. C43×#548C4semidirect
78. Q8×Dic43D4semidirect
123. C2×#41×C43C2×C4semidirect
126. C22×Q8×C43C2×C4semidirect
133. #124×C43C2×C4semidirect
134. C22⋊Q8×C43C2×C4semidirect
135. #121×C43C2×C4semidirect
136. C4×Q8×C43C2×C4semidirect
137. C4×D4×C43C2×C4semidirect
182. C22×Dic43#41semidirect
202. C22⋊Dic43#41semidirect
238. Q8×C43C4×D4semidirect
300. C22×C43C4×#41semidirect
320. Dic43#548direct (N × H)
347. #548Dic43direct (N × H)
398. C43C4×#548semidirect
401. C2×#41C2×Dic43semidirect
404. C22×Q8C2×Dic43semidirect
415. #124C2×Dic43semidirect
416. C22⋊Q8C2×Dic43semidirect
417. #121C2×Dic43semidirect
424. C4×Q8C2×Dic43semidirect
429. C4×D4C2×Dic43semidirect
568. Q8D4×Dic43semidirect
629. C22#41×Dic43semidirect

Maximal subgroups

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

subgroupindex
C2×#41×Dic432
C22×Q8×Dic432
#191376702
#191376262
#191376152
#191375242
#191375162
#191374362
Q8×C22⋊Dic432
#124×Dic432
C22⋊Q8×Dic432
#121×Dic432
C4×Q8×Dic432
C4×D4×Dic432
C2×C43×#5482
C4×#54843