Finite Group Databasebeta

← C4×Q8×C22⋊D43 #25256459

Subgroups — C4×Q8×C22⋊D43 #25256459

Order 11008.

3148 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×Q8×C22⋊D43C211yesmaximal, characteristic
2C2×C4×Q8×D43C211yesmaximal, characteristic, complemented
3#19137649C213yesmaximal, complemented
4#19137600C213yesmaximal, complemented
5#19137596C213yesmaximal, complemented
6Q8×Dic43⋊C4C211yesmaximal, characteristic, complemented
7C4⋊C4×C22⋊D43C213yesmaximal
8Q8×C22⋊Dic43C211yesmaximal, characteristic, complemented
9Q8×(C2×D43)⋊C4C211yesmaximal, characteristic, complemented
10C4×#13063323C213yesmaximal, complemented
11C4×#13063304C213yesmaximal, complemented
12C4×#13063301C213yesmaximal, complemented
13C4×Q8×Dic43C211yesmaximal, characteristic, complemented
14C42×C22⋊D43C213yesmaximal
15C22×C4×Q8×C43C211yesmaximal, characteristic, complemented
16C22×Q8×D43C2211yescharacteristic
17Q8×C22⋊D43C4116yesdirect product factor
18C2×#13063323C2213yes—
19C2×#13063304C2213yes—
20C2×#13063301C2213yes—
21C2×Q8×Dic43C2211yescharacteristic
22C2×Q8×Dic43C2211yescharacteristic
23C2×Q8×Dic43C2211yescharacteristic
24C2×C4×Dic86C2213yes—
25C2×#13063290C2213yes—
26C4×Q8×D43—28no—
27C2×C4×C22⋊D43C2213yes—
28C2×C4×C22⋊D43C2213yes—
29C2×C4×C22⋊D43C2211yescharacteristic
30C2×C4⋊C4×D43C2213yes—
31C2×C42×D43C2213yes—
32#14582806C2213yes—
33#14582806C2213yes—
34#14582805C2213yes—
35#14582804C2213yes—
36#14582797C2213yes—
37#14582795C2213yes—
38#14582794C2216yes—
39#14582794C2216yes—
40#14582783C2216yes—
41#14582780C2216yes—
42#14582772C2216yes—
43#14582770C2216yes—
44#14582768C2213yes—
45#14582759C2213yes—
46#14582756C2213yes—
47C4⋊C4×Dic43C2213yes—
48C4⋊C4×Dic43C2213yes—
49C4×Dic43⋊C4C2216yes—
50C4×Dic43⋊C4C2213yes—
51C4×Dic43⋊C4C2213yes—
52C4×Dic43⋊C4C2213yes—
53C4×C4⋊Dic43C2213yes—
54C4×(C2×D43)⋊C4C2213yes—
55C4×(C2×D43)⋊C4C2213yes—
56C4×(C2×D43)⋊C4C2213yes—
57C4×C22⋊Dic43C2213yes—
58C4×C22⋊Dic43C2213yes—
59C4×C22⋊Dic43C2213yes—
60C42×Dic43C2213yes—
61C23×Q8×C43C2211yescharacteristic
62C2×C4×Q8×C43—28no—
63C2×C4×Q8×C43C2213yes—
64C2×C4×Q8×C43C2213yes—
65C2×C4×Q8×C43C2211yescharacteristic
66C2×C4×Q8×C43C2211yescharacteristic
67C22×C4⋊C4×C43C2213yes—
68C22×C42×C43C2213yes—
69C22×Dic86C2313yes—
70C2×Q8×D43—24no—
71C2×Q8×D43—24no—
72C2×Q8×D43C2×C418yescomplemented
73C22×C22⋊D43C2311yescharacteristic
74C22×C4×D43C2313yes—
75C22×C4×D43C2313yes—
76C22×C4×D43C2311yescharacteristic
77#13063323C2×C4124yescomplemented
78#13063304C2×C4124yescomplemented
79#13063301C2×C4124yescomplemented
80Q8×Dic43—24no—
81Q8×Dic43—24no—
82Q8×Dic43C2×C418yescomplemented
83C4×Dic86—212no—
84#13063290—212no—
85C4×C22⋊D43—212no—
86C4×C22⋊D43C2×C4124yes—
87C4×C22⋊D43Q818yesdirect product factor
88C2×C4⋊Dic43C2313yes—
89C2×C4⋊Dic43C2313yes—
90C2×C4⋊Dic43C2313yes—
91C2×Dic43⋊C4C2316yes—
92C2×Dic43⋊C4C2313yes—
93C2×Dic43⋊C4C2316yes—
94C2×Dic43⋊C4C2313yes—
95C2×Dic43⋊C4C2316yes—
96C2×Dic43⋊C4C2311yescharacteristic
97C4⋊C4×D43—212no—
98C2×C22⋊Dic43C2313yes—
99C2×C22⋊Dic43C2313yes—
100C2×C22⋊Dic43C2311yescharacteristic
101C2×(C2×D43)⋊C4C2313yes—
102C2×(C2×D43)⋊C4C2313yes—
103C2×(C2×D43)⋊C4C2311yescharacteristic
104C2×C4×Dic43C2313yes—
105C2×C4×Dic43C2313yes—
106C2×C4×Dic43C2313yes—
107C2×C4×Dic43C2313yes—
108C2×C4×Dic43C2313yes—
109C2×C4×Dic43C2313yes—
110C2×C4×Dic43C2313yes—
111C2×C4×Dic43C2313yes—
112C2×C4×Dic43C2311yescharacteristic
113C42×D43—212no—
114C43⋊#95C2313yes—
115C43⋊#95C2313yes—
116C43⋊#95C2316yes—
117C43⋊#95C2316yes—
118C43⋊#95C2313yes—
119C43⋊#95C2313yes—
120C43⋊#95C2313yes—
121C43⋊#95C2313yes—
122C43⋊#95C2316yes—
123C22×Q8×C43—24no—
124C22×Q8×C43—24no—
125C22×Q8×C43C2×C418yescomplemented
126C22×Q8×C43C2313yes—
127C22×Q8×C43C2311yescharacteristic
128C23×C4×C43C2313yes—
129C23×C4×C43C2313yes—
130C23×C4×C43C2311yescharacteristic
131C4×Q8×C43—24no—
132C4×Q8×C43—212no—
133C4×Q8×C43—212no—
134C4×Q8×C43D418yescomplemented
135C2×C4⋊C4×C43—212no—
136C2×C4⋊C4×C43C2316yes—
137C2×C4⋊C4×C43C2313yes—
138C2×C4⋊C4×C43C2313yes—
139C2×C42×C43—212no—
140C2×C42×C43C2313yes—
141C2×C42×C43C2313yes—
142C2×C42×C43C2313yes—
143C2×C42×C43C2313yes—
144C24×C43C2411yescharacteristic
145C23×D43C2411yescharacteristic
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—22no—
154C22×C4×C43—26no—
155C22×C4×C43—26no—
156C22×C4×C43—22no—
157C22×C4×C43—26no—
158C22×C4×C43—26no—
159C22×C4×C43—43no—
160C22×C4×C43C22×C4112yes—
161C22×C4×C43C2×Q814yescomplemented
162C22×C4×C43C2413yes—
163C22×C4×C43C2413yes—
164C22×C4×C43C2413yes—
165C22×C4×C43C2411yescharacteristic
166C22×C4×C43C2413yes—
167C22×C4×C43C2411yescharacteristic
168C2×C22⋊D43C22×C414yes—
169C2×C22⋊D43C2×Q814yes—
170C2×C22⋊D43#4114yes—
171C22×Dic43C2413yes—
172C22×Dic43C2413yes—
173C22×Dic43C2413yes—
174C22×Dic43C2413yes—
175C22×Dic43C2411yescharacteristic
176C22×Dic43C2411yescharacteristic
177C22×Dic43C2411yescharacteristic
178Q8×D43—232no—
179C2×C4×D43—22no—
180C2×C4×D43—26no—
181C2×C4×D43—26no—
182C2×C4×D43—22no—
183C2×C4×D43—26no—
184C2×C4×D43—26no—
185C2×C4×D43—43no—
186C2×C4×D43C22×C4112yes—
187C2×C4×D43C2×Q814yescomplemented
188C2×Dic86—26no—
189C2×Dic86—26no—
190C2×Dic86C22×C4112yes—
191C4⋊C4×C43—212no—
192C4⋊C4×C43—26no—
193C4⋊C4×C43C2×D4112yes—
194C42×C43—26no—
195C42×C43—26no—
196C42×C43—26no—
197C42×C43C2×D4112yes—
198C22⋊Dic43—26no—
199C22⋊Dic43C22×C4112yes—
200C22⋊Dic43C2×Q814yescomplemented
201(C2×D43)⋊C4—26no—
202(C2×D43)⋊C4C22×C4112yes—
203(C2×D43)⋊C4C2×Q814yescomplemented
204C4⋊Dic43—26no—
205C4⋊Dic43—26no—
206C4⋊Dic43C22×C4112yes—
207Dic43⋊C4—212no—
208Dic43⋊C4—26no—
209Dic43⋊C4—46no—
210Dic43⋊C4C22×C4112yes—
211Dic43⋊C4C22×C4124yes—
212Dic43⋊C4C2×Q814yescomplemented
213C4×Dic43—26no—
214C4×Dic43—26no—
215C4×Dic43—26no—
216C4×Dic43—26no—
217C4×Dic43—26no—
218C4×Dic43—26no—
219C4×Dic43—43no—
220C4×Dic43C22×C4112yes—
221C4×Dic43C2×Q814yescomplemented
222C23×C43—21no—
223C23×C43—21no—
224C23×C43—21no—
225C23×C43—21no—
226C23×C43C23×C412yes—
227C23×C43C22×Q812yes—
228C23×C43C2×#4112yes—
229C23×C43C2511yescharacteristic
230C22×D43—21no—
231C22×D43—21no—
232C22×D43—21no—
233C22×D43—21no—
234C22×D43C23×C412yes—
235C22×D43C22×Q812yes—
236C22×D43C2×#4112yes—
237Q8×C43—224no—
238Q8×C43C4×D4116yescomplemented
239C2×C4×C43—21no—
240C2×C4×C43—23no—
241C2×C4×C43—23no—
242C2×C4×C43—23no—
243C2×C4×C43—21no—
244C2×C4×C43—23no—
245C2×C4×C43—224no—
246C2×C4×C43—28no—
247C2×C4×C43—23no—
248C2×C4×C43—23no—
249C2×C4×C43—23no—
250C2×C4×C43—412no—
251C2×C4×C43C23×C416yes—
252C2×C4×C43C23×C416yes—
253C2×C4×C43C22×D416yes—
254C2×C4×C43C22×D416yes—
255C2×C4×C43C22×D412yes—
256C2×C4×C43C22×Q812yes—
257C2×C4×C43C22×Q812yes—
258C2×C4×C43C2×#4116yes—
259C2×C4×C432−1+412yes—
260C22⋊D43C4×Q8116yesdirect product factor
261C2×Dic43—21no—
262C2×Dic43—23no—
263C2×Dic43—21no—
264C2×Dic43—23no—
265C2×Dic43—23no—
266C2×Dic43—21no—
267C2×Dic43—21no—
268C2×Dic43—23no—
269C2×Dic43—23no—
270C2×Dic43—23no—
271C2×Dic43—23no—
272C2×Dic43—23no—
273C2×Dic43—23no—
274C2×Dic43—23no—
275C2×Dic43C23×C416yes—
276C2×Dic43C23×C416yes—
277C2×Dic43C23×C412yes—
278C2×Dic43C22×Q812yes—
279C2×Dic43C22×Q812yes—
280C2×Dic43C22×Q812yes—
281C2×Dic43C2×#4112yes—
282C4×D43—224no—
283C4×D43—28no—
284C4×D43—412no—
285Dic86—224no—
286C4×D4×Q8—431nomaximal, Sylow
287C22×C43—22no—
288C22×C43—22no—
289C22×C43—22no—
290C22×C43—22no—
291C22×C43—22no—
292C22×C43—22no—
293C22×C43C2×C4×Q814yescomplemented
294C22×C43C24×C411yescharacteristic
295C22×C43C23×D411yescharacteristic
296C22×C43C23×Q811yescharacteristic
297C22×C43C22×#4111yescharacteristic
298C22×C43C22×#4111yescharacteristic
299C22×C43C2×2−1+411yescharacteristic
300C22×C43#58511yescharacteristic
301C2×D43—22no—
302C2×D43—22no—
303C2×D43—22no—
304C2×D43—22no—
305C2×D43—22no—
306C2×D43—22no—
307C2×D43C2×C4×Q814yescomplemented
308C4×C43—26no—
309C4×C43—22no—
310C4×C43—26no—
311C4×C43—43no—
312C4×C43C2×C4×D4112yes—
313C4×C43D4×Q814yescomplemented
314Dic43—26no—
315Dic43—26no—
316Dic43—22no—
317Dic43—22no—
318Dic43—43no—
319Dic43—43no—
320Dic43C2×C4×Q814yescomplemented
321C2×D4×Q8—431no—
322C22×C4×Q8—431no—
323C22×C4×Q8D4311yescharacteristic, complemented
324#2365—433no—
325#2360—433no—
326#2360—433no—
327Q8×C4⋊C4—431no—
328D4×C4⋊C4—433no—
329Q8×C22⋊C4—431no—
330Q8×C22⋊C4—431no—
331C4×C4⋊Q8—433no—
332C4×C22⋊Q8—433no—
333C4×C22⋊Q8—433no—
334C42×Q8—431no—
335C42×D4—433no—
336C2×C43—24no—
337C2×C43C22×C4×D411yescharacteristic
338C2×C43C22×C4×Q811yescharacteristic
339C2×C43C4×2−1+411yescharacteristic
340C2×C43C2×D4×Q811yescharacteristic
341C2×C43D4×#4111yescharacteristic
342C2×C43Q8×#4111yescharacteristic
343C2×C43#348211yescharacteristic
344D43—24no—
345C23×Q8—431no—
346C23×Q8C2×D4311yescharacteristic
347D4×Q8—4316no—
348C2×C4⋊Q8—433no—
349C2×C22⋊Q8—433no—
350C2×C22⋊Q8—433no—
351C2×C4×Q8—28no—
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×D4313yes—
359C2×C4×Q8C2×D4311yescharacteristic
360C2×C4×Q8C2×D4313yes—
361C2×C4×Q8C2×D4311yescharacteristic
362C2×C4×D4—433no—
363C2×C4×D4—431no—
364C2×C4×D4—433no—
365C22×C4⋊C4—433no—
366C22×C4⋊C4C2×D4313yes—
367C22×C42—433no—
368C22×C42C2×D4313yes—
369#391—433no—
370#391—433no—
371#391—433no—
372#391—433no—
373#389—436no—
374#389—436no—
375#389—433no—
376#389—433no—
377#387—436no—
378#387—436no—
379#385—436no—
380#385—436no—
381#384—433no—
382#380—433no—
383#380—433no—
384C4×C4⋊C4—433no—
385C4×C4⋊C4—433no—
386C4×C4⋊C4—433no—
387C4×C4⋊C4—436no—
388C4×C4⋊C4—433no—
389C4×C4⋊C4—433no—
390C4×C4⋊C4—433no—
391C4×C22⋊C4—433no—
392C4×C22⋊C4—433no—
393C4×C22⋊C4—433no—
394C4×C22⋊C4—433no—
395C4×C22⋊C4—433no—
396C4×C22⋊C4—433no—
397C43—433no—
398C43C4×D4×Q811yescharacteristic, complemented, Sylow
399C22×Q8—24no—
400C22×Q8—24no—
401C22×Q8—438no—
402C22×Q8—433no—
403C22×Q8—864no—
404C22×Q8—864no—
405C22×Q8C4×D4318yescomplemented
406C22×Q8C22×D4313yes—
407C22×Q8C22×D4311yescharacteristic
408C22×D4—431no—
409C23×C4—433no—
410C23×C4—431no—
411C23×C4—433no—
412C23×C4C22×D4313yes—
413C23×C4C22×D4313yes—
414C23×C4C22×D4311yescharacteristic
415C4⋊Q8—4324no—
416C22⋊Q8—4324no—
417C22⋊Q8—4324no—
418C4×Q8—24no—
419C4×Q8—212no—
420C4×Q8—212no—
421C4×Q8—438no—
422C4×Q8—864no—
423C4×Q8—864no—
424C4×Q8—8612no—
425C4×Q8—8612no—
426C4×Q8C22⋊D4318yesdirect product factor
427C4×D4—4324no—
428C4×D4—438no—
429C4×D4—8612no—
430C2×C4⋊C4—212no—
431C2×C4⋊C4—433no—
432C2×C4⋊C4—431no—
433C2×C4⋊C4—433no—
434C2×C4⋊C4—436no—
435C2×C4⋊C4—436no—
436C2×C4⋊C4—433no—
437C2×C4⋊C4—433no—
438C2×C4⋊C4—433no—
439C2×C4⋊C4—436no—
440C2×C4⋊C4—8612no—
441C2×C4⋊C4C22×D4313yes—
442C2×C4⋊C4C22×D4316yes—
443C2×C4⋊C4C22×D4313yes—
444C2×C22⋊C4—433no—
445C2×C22⋊C4—431no—
446C2×C22⋊C4—433no—
447C2×C22⋊C4—431no—
448C2×C22⋊C4—433no—
449C2×C22⋊C4—433no—
450C2×C42—212no—
451C2×C42—433no—
452C2×C42—431no—
453C2×C42—433no—
454C2×C42—433no—
455C2×C42—433no—
456C2×C42—433no—
457C2×C42—433no—
458C2×C42—433no—
459C2×C42—433no—
460C2×C42—8612no—
461C2×C42C22×D4313yes—
462C2×C42C22×D4313yes—
463C2×C42C22×D4313yes—
464C2×C42C22×D4313yes—
465#95—433no—
466#95—433no—
467#95—433no—
468#95—433no—
469#95—433no—
470#95—433no—
471#95—436no—
472#95—436no—
473#95—436no—
474C24—431no—
475C24C23×D4311yescharacteristic
476C2×Q8—232no—
477C2×Q8—26no—
478C2×Q8—26no—
479C2×Q8—4312no—
480C2×Q8—8632no—
481C2×Q8—866no—
482C2×Q8—866no—
483C2×Q8C2×C4×D43112yes—
484C2×Q8C2×C4×D4314yes—
485C2×Q8#1062189814yes—
486C2×Q8C2×C22⋊D4314yes—
487C2×D4—434no—
488C2×D4—434no—
489C2×D4—434no—
490C22×C4—22no—
491C22×C4—26no—
492C22×C4—26no—
493C22×C4—22no—
494C22×C4—26no—
495C22×C4—26no—
496C22×C4—43no—
497C22×C4—431no—
498C22×C4—431no—
499C22×C4—431no—
500C22×C4—433no—
501C22×C4—433no—
502C22×C4—4312no—
503C22×C4—434no—
504C22×C4—433no—
505C22×C4—433no—
506C22×C4—866no—
507C22×C4—862no—
508C22×C4—866no—
509C22×C4—866no—
510C22×C4—862no—
511C22×C4—866no—
512C22×C4—1723no—
513C22×C4C2×C4×D43112yes—
514C22×C4Q8×D4314yescomplemented
515C22×C4C23×D4313yes—
516C22×C4C23×D4313yes—
517C22×C4C23×D4313yes—
518C22×C4C23×D4311yescharacteristic
519C22×C4C23×D4313yes—
520C22×C4C23×D4311yescharacteristic
521C4⋊C4—212no—
522C4⋊C4—26no—
523C4⋊C4—4312no—
524C4⋊C4—4312no—
525C4⋊C4—4324no—
526C4⋊C4—434no—
527C4⋊C4—866no—
528C4⋊C4—8612no—
529C4⋊C4—866no—
530C4⋊C4—866no—
531C4⋊C4—1726no—
532C4⋊C4C2×C22⋊D43112yes—
533C22⋊C4—4312no—
534C22⋊C4—434no—
535C22⋊C4—4312no—
536C22⋊C4—434no—
537C22⋊C4—866no—
538C22⋊C4—866no—
539C42—26no—
540C42—26no—
541C42—26no—
542C42—4312no—
543C42—434no—
544C42—866no—
545C42—866no—
546C42—866no—
547C42—866no—
548C42—866no—
549C42—866no—
550C42—1723no—
551C42C2×C22⋊D43112yes—
552C23—21no—
553C23—21no—
554C23—21no—
555C23—21no—
556C23—432no—
557C23—432no—
558C23—432no—
559C23—861no—
560C23—861no—
561C23—861no—
562C23—861no—
563C23C22×C4×D4312yes—
564C23C2×Q8×D4312yes—
565C23#41×D4312yes—
566C23C24×D4311yescharacteristic
567Q8—224no—
568Q8—8624no—
569Q8C4×C22⋊D43116yesdirect product factor
570D4—4316no—
571C2×C4—21no—
572C2×C4—23no—
573C2×C4—23no—
574C2×C4—23no—
575C2×C4—21no—
576C2×C4—23no—
577C2×C4—28no—
578C2×C4—224no—
579C2×C4—23no—
580C2×C4—23no—
581C2×C4—23no—
582C2×C4—412no—
583C2×C4—432no—
584C2×C4—432no—
585C2×C4—432no—
586C2×C4—436no—
587C2×C4—436no—
588C2×C4—432no—
589C2×C4—432no—
590C2×C4—861no—
591C2×C4—863no—
592C2×C4—861no—
593C2×C4—863no—
594C2×C4—863no—
595C2×C4—861no—
596C2×C4—861no—
597C2×C4—863no—
598C2×C4—868no—
599C2×C4—8624no—
600C2×C4—863no—
601C2×C4—863no—
602C2×C4—863no—
603C2×C4—863no—
604C2×C4—863no—
605C2×C4—863no—
606C2×C4—17212no—
607C2×C4C22×C4×D4316yes—
608C2×C4C22×C4×D4316yes—
609C2×C4C22×C22⋊D4316yes—
610C2×C4C22×C22⋊D4312yes—
611C2×C4C22×C22⋊D4316yes—
612C2×C4C2×Q8×D4312yes—
613C2×C4C2×Q8×D4312yes—
614C2×C4C2×#1062189816yes—
615C2×C4#1306337312yes—
616C22—22no—
617C22—22no—
618C22—22no—
619C22—22no—
620C22—22no—
621C22—22no—
622C22—434no—
623C22—862no—
624C22—862no—
625C22—862no—
626C22—862no—
627C22—862no—
628C22—862no—
629C22C4×Q8×D4314yescomplemented
630C22C23×C4×D4311yescharacteristic
631C22C23×C22⋊D4311yescharacteristic
632C22C22×Q8×D4311yescharacteristic
633C22C2×#41×D4311yescharacteristic
634C22C22×#1062189811yescharacteristic
635C22C2×#1306337311yescharacteristic
636C22#1458373511yescharacteristic
637C4—22no—
638C4—26no—
639C4—26no—
640C4—43no—
641C4—434no—
642C4—866no—
643C4—862no—
644C4—862no—
645C4—866no—
646C4—1723no—
647C4—1723no—
648C4C2×C4×C22⋊D43112yes—
649C4Q8×C22⋊D4314yesdirect product factor
650C2—24no—
651C2—864no—
652C2C22×C4×C22⋊D4311yescharacteristic
653C2C2×C4×Q8×D4311yescharacteristic
654C2C4×#1306337311yescharacteristic
655C2C2×Q8×C22⋊D4311yescharacteristic
656C2#41×C22⋊D4311yescharacteristic
657C2Q8×#1062189811yescharacteristic
658C2#1914821211yescharacteristic
subgroupG/H
centerC22×C4C23×D43
commutatorC22×C43C24×C4
FrattiniC23C24×D43
FittingC22×C4×Q8×C43C2
socle, cosocleC23×C43C25
prime radicalC22×C22⋊D43C23
hypercenterC22×C4×Q8D43
hypocenterC43C4×D4×Q8
LCSG ▷ C22×C43 ▷ C43
UCSC1 ◁ C22×C4 ◁ C22×C4×Q8

Complements

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

NH ≅ G/Ntype
2. C2×C4×Q8×D43C2semidirect
3. #19137649C2semidirect
4. #19137600C2semidirect
5. #19137596C2semidirect
6. Q8×Dic43⋊C4C2semidirect
8. Q8×C22⋊Dic43C2semidirect
9. Q8×(C2×D43)⋊C4C2semidirect
10. C4×#13063323C2semidirect
11. C4×#13063304C2semidirect
12. C4×#13063301C2semidirect
13. C4×Q8×Dic43C2semidirect
15. C22×C4×Q8×C43C2semidirect
17. Q8×C22⋊D43C4direct (N × H)
72. C2×Q8×D43C2×C4semidirect
77. #13063323C2×C4semidirect
78. #13063304C2×C4semidirect
79. #13063301C2×C4semidirect
82. Q8×Dic43C2×C4semidirect
87. C4×C22⋊D43Q8direct (N × H)
125. C22×Q8×C43C2×C4semidirect
134. C4×Q8×C43D4semidirect
161. C22×C4×C43C2×Q8semidirect
187. C2×C4×D43C2×Q8semidirect
200. C22⋊Dic43C2×Q8semidirect
203. (C2×D43)⋊C4C2×Q8semidirect
212. Dic43⋊C4C2×Q8semidirect
221. C4×Dic43C2×Q8semidirect
238. Q8×C43C4×D4semidirect
260. C22⋊D43C4×Q8direct (N × H)
293. C22×C43C2×C4×Q8semidirect
307. C2×D43C2×C4×Q8semidirect
313. C4×C43D4×Q8semidirect
320. Dic43C2×C4×Q8semidirect
323. C22×C4×Q8D43semidirect
398. C43C4×D4×Q8semidirect
405. C22×Q8C4×D43semidirect
426. C4×Q8C22⋊D43direct (N × H)
514. C22×C4Q8×D43semidirect
569. Q8C4×C22⋊D43direct (N × H)
629. C22C4×Q8×D43semidirect
649. C4Q8×C22⋊D43direct (N × H)

Maximal subgroups

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

subgroupindex
C2×Q8×C22⋊D432
C2×C4×Q8×D432
#191376492
#191376002
#191375962
Q8×Dic43⋊C42
C4⋊C4×C22⋊D432
Q8×C22⋊Dic432
Q8×(C2×D43)⋊C42
C4×#130633232
C4×#130633042
C4×#130633012
C4×Q8×Dic432
C42×C22⋊D432
C22×C4×Q8×C432
C4×D4×Q843