Finite Group Databasebeta

← #25256427

Subgroups — #25256427

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×#14583556C211yesmaximal, characteristic
2C2×#41×Dic43C211yesmaximal, characteristic, complemented
3C2×C4×Q8×D43C211yesmaximal, characteristic, complemented
4#19137665C213yesmaximal, complemented
5#19137620C213yesmaximal, complemented
6#19137616C213yesmaximal, complemented
7#19137517C213yesmaximal, complemented
8#19137513C211yesmaximal, characteristic, complemented
9Q8×(C2×D43)⋊C4C211yesmaximal, characteristic, complemented
10#19137142C213yesmaximal, complemented
11#19137123C213yesmaximal, complemented
12#19137111C213yesmaximal, complemented
13C4×Q8×Dic43C211yesmaximal, characteristic, complemented
14C4×(C22⋊D43)⋊C4C213yesmaximal, complemented
15C43×#2341C211yesmaximal, characteristic, complemented
16C22×Q8×D43C2211yescharacteristic
17#14583556C4116yescomplemented
18C2×#13063312C2213yes—
19C2×#13063304C2213yes—
20C2×#13063296C2213yes—
21#41×Dic43—28no—
22C2×Q8×Dic43C2211yescharacteristic
23C2×Q8×Dic43C2211yescharacteristic
24C2×Q8×Dic43C2211yescharacteristic
25C2×C4×Dic86C2213yes—
26C2×#13063290C2213yes—
27C4×Q8×D43—28no—
28C2×D4×Dic43C2213yes—
29C2×D4×Dic43C2213yes—
30C2×C4×C22⋊D43C2213yes—
31C2×(C22⋊D43)⋊C4C2213yes—
32C2×(C22⋊D43)⋊C4C2213yes—
33C2×#13063284C2213yes—
34C2×C4⋊C4×D43C2213yes—
35C22×C4×Dic43C2213yes—
36C2×C42×D43C2213yes—
37#14582805C2213yes—
38#14582804C2213yes—
39#14582797C2213yes—
40#14582795C2213yes—
41#14582793C2216yes—
42#14582787C2216yes—
43#14582787C2216yes—
44#14582781C2216yes—
45#14582775C2216yes—
46#14582771C2216yes—
47#14582764C2213yes—
48#14582756C2213yes—
49C4⋊C4×Dic43C2213yes—
50C4⋊C4×Dic43C2213yes—
51C4×Dic43⋊C4C2213yes—
52C4×C4⋊Dic43C2213yes—
53#14582750C2213yes—
54#14582750C2213yes—
55C22⋊C4×Dic43C2216yes—
56C22⋊C4×Dic43C2213yes—
57C22⋊C4×Dic43C2213yes—
58C4×(C2×D43)⋊C4C2213yes—
59#14582746C2211yescharacteristic
60#14582746C2213yes—
61C42×Dic43C2213yes—
62C22×#41×C43C2211yescharacteristic
63C2×C4×Q8×C43C2211yescharacteristic
64C2×C4×Q8×C43C2211yescharacteristic
65C43×#390C2213yes—
66C43×#390C2213yes—
67C43×#380C2213yes—
68C4×C22⋊C4×C43C2213yes—
69C22×Dic86C2313yes—
70C2×Q8×D43—24no—
71C2×Q8×D43—24no—
72C2×Q8×D43C2×C418yescomplemented
73C22×C22⋊D43C2313yes—
74C23×Dic43C2313yes—
75C23×Dic43C2313yes—
76C22×C4×D43C2313yes—
77C22×C4×D43C2313yes—
78C22×C4×D43C2311yescharacteristic
79#13063312C2×C4124yescomplemented
80#13063304C2×C4124yescomplemented
81#13063296C2×C4124yescomplemented
82Q8×Dic43—24no—
83Q8×Dic43C2×C418yescomplemented
84Q8×Dic43D418yescomplemented
85C4×Dic86—212no—
86#13063290—212no—
87D4×Dic43—212no—
88D4×Dic43—212no—
89C4×C22⋊D43C2×C4124yescomplemented
90(C22⋊D43)⋊C4—212no—
91(C22⋊D43)⋊C4—212no—
92#13063284—212no—
93C2×C4⋊Dic43C2313yes—
94C2×C4⋊Dic43C2313yes—
95C2×C4⋊Dic43C2313yes—
96C2×Dic43⋊C4C2316yes—
97C2×Dic43⋊C4C2313yes—
98C2×Dic43⋊C4C2313yes—
99C2×Dic43⋊C4C2313yes—
100C4⋊C4×D43—212no—
101C2×C22⋊Dic43C2316yes—
102C2×C22⋊Dic43C2313yes—
103C2×C22⋊Dic43C2316yes—
104C2×(C2×D43)⋊C4C2313yes—
105C2×(C2×D43)⋊C4C2311yescharacteristic
106C2×(C2×D43)⋊C4C2311yescharacteristic
107C2×C4×Dic43—212no—
108C2×C4×Dic43C2313yes—
109C2×C4×Dic43C2313yes—
110C2×C4×Dic43C2313yes—
111C2×C4×Dic43C2313yes—
112C2×C4×Dic43C2311yescharacteristic
113C2×C4×Dic43C2313yes—
114C2×C4×Dic43C2313yes—
115C2×C4×Dic43C2311yescharacteristic
116C2×C4×Dic43C2313yes—
117C2×C4×Dic43C2313yes—
118C2×C4×Dic43C2313yes—
119C42×D43—212no—
120C43⋊#95C2313yes—
121C43⋊#95C2313yes—
122C43⋊#95C2316yes—
123C43⋊#95C2316yes—
124C43⋊#95C2316yes—
125C43⋊#95C2313yes—
126C43⋊#95C2311yescharacteristic
127C2×#41×C43—24no—
128C2×#41×C43—24no—
129C2×#41×C43C2×C418yescomplemented
130C22×Q8×C43C2311yescharacteristic
131C22×D4×C43C2313yes—
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×C43C2313yes—
139C2×C22⋊C4×C43C2316yes—
140C2×C42×C43C2313yes—
141C2×C42×C43C2313yes—
142#95×C43C2311yescharacteristic
143#95×C43C2313yes—
144C24×C43C2413yes—
145C23×D43C2411yescharacteristic
146#41×C43—232no—
147C2×Q8×C43C22×C414yes—
148C2×Q8×C43C2×D414yes—
149C2×Q8×C43#4114yes—
150C2×D4×C43—26no—
151C2×D4×C43—26no—
152C2×D4×C43C22×C4112yes—
153C22×C4×C43—26no—
154C22×C4×C43—26no—
155C22×C4×C43C22×C4112yes—
156C22×C4×C43C2413yes—
157C22×C4×C43C2413yes—
158C22×C4×C43C2411yescharacteristic
159C22×C4×C43C2411yescharacteristic
160C22×C4×C43C2411yescharacteristic
161C22×C4×C43C2413yes—
162C2×C22⋊D43—26no—
163C2×C22⋊D43—26no—
164C2×C22⋊D43C22×C4112yes—
165C22×Dic43—26no—
166C22×Dic43—26no—
167C22×Dic43—26no—
168C22×Dic43—26no—
169C22×Dic43—26no—
170C22×Dic43—43no—
171C22×Dic43C2413yes—
172C22×Dic43C2411yescharacteristic
173C22×Dic43C2413yes—
174C22×Dic43C2413yes—
175C22×Dic43C2413yes—
176C22×Dic43C2411yescharacteristic
177C22×Dic43C2411yescharacteristic
178Q8×D43—232no—
179C2×C4×D43—26no—
180C2×C4×D43—26no—
181C2×C4×D43—22no—
182C2×C4×D43—22no—
183C2×C4×D43—26no—
184C2×C4×D43—26no—
185C2×C4×D43—43no—
186C2×C4×D43C22×C4112yes—
187C2×C4×D43#4114yescomplemented
188C2×Dic86—26no—
189C2×Dic86—26no—
190C2×Dic86C22×C4112yes—
191C4⋊C4×C43—26no—
192C4⋊C4×C43—26no—
193C22⋊C4×C43—26no—
194C22⋊C4×C43—26no—
195C22⋊C4×C43—46no—
196C42×C43—26no—
197C42×C43—26no—
198C22⋊Dic43—212no—
199C22⋊Dic43C22×C4112yes—
200C22⋊Dic43C22×C4124yes—
201(C2×D43)⋊C4—26no—
202(C2×D43)⋊C4C22×C414yes—
203(C2×D43)⋊C4#4114yescomplemented
204C4⋊Dic43—26no—
205C4⋊Dic43C22×C4112yes—
206C4⋊Dic43C2×D4112yes—
207Dic43⋊C4—26no—
208Dic43⋊C4—212no—
209Dic43⋊C4—26no—
210Dic43⋊C4C22×C4112yes—
211C4×Dic43—26no—
212C4×Dic43—26no—
213C4×Dic43—26no—
214C4×Dic43—26no—
215C4×Dic43—22no—
216C4×Dic43—26no—
217C4×Dic43—26no—
218C4×Dic43—22no—
219C4×Dic43—43no—
220C4×Dic43C22×C4112yes—
221C4×Dic43C2×D4112yes—
222C23×C43—23no—
223C23×C43—23no—
224C23×C43—23no—
225C23×C43—23no—
226C23×C43—23no—
227C23×C43—23no—
228C23×C43C23×C416yes—
229C23×C43C2511yescharacteristic
230C22×D43—21no—
231C22×D43—21no—
232C22×D43—21no—
233C22×D43—21no—
234C22×D43C23×C412yes—
235C22×D43C2×#4112yes—
236C22×D43C2×#4112yes—
237Q8×C43C4×D4116yescomplemented
238D4×C43—224no—
239C2×C4×C43—21no—
240C2×C4×C43—21no—
241C2×C4×C43—21no—
242C2×C4×C43—21no—
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×C412yes—
253C2×C4×C43C23×C416yes—
254C2×C4×C43C22×D416yes—
255C2×C4×C43C2×#4112yes—
256C2×C4×C43C2×#4112yes—
257C2×C4×C43C2×#4116yes—
258C22⋊D43—224no—
259C2×Dic43—21no—
260C2×Dic43—23no—
261C2×Dic43—23no—
262C2×Dic43—23no—
263C2×Dic43—23no—
264C2×Dic43—23no—
265C2×Dic43—21no—
266C2×Dic43—21no—
267C2×Dic43—23no—
268C2×Dic43—21no—
269C2×Dic43—23no—
270C2×Dic43—23no—
271C2×Dic43—23no—
272C2×Dic43—412no—
273C2×Dic43—412no—
274C2×Dic43C23×C412yes—
275C2×Dic43C23×C416yes—
276C2×Dic43C23×C416yes—
277C2×Dic43C22×D416yes—
278C2×Dic43C22×D412yes—
279C2×Dic43C2×#4112yes—
280C2×Dic43C2×#4112yes—
281C2×Dic432−1+412yes—
282C4×D43—224no—
283C4×D43—28no—
284C4×D43—412no—
285Dic86—224no—
286C4×#548—431nomaximal, Sylow
287C22×C43—26no—
288C22×C43—26no—
289C22×C43—26no—
290C22×C43—43no—
291C22×C43—43no—
292C22×C43—43no—
293C22×C43—43no—
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—22no—
302C2×D43—22no—
303C2×D43—22no—
304C2×D43—22no—
305C2×D43—22no—
306C2×D43—22no—
307C2×D43C4×#4114yescomplemented
308C4×C43—22no—
309C4×C43—22no—
310C4×C43—22no—
311C4×C43—43no—
312C4×C43—43no—
313C4×C43C2×C4×D4112yes—
314Dic43—26no—
315Dic43—26no—
316Dic43—22no—
317Dic43—26no—
318Dic43—22no—
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#2341D4311yescharacteristic, complemented
330Q8×C22⋊C4—431no—
331C4×#124—433no—
332C4×C22⋊Q8—433no—
333C4×#121—433no—
334C42×Q8—431no—
335C42×D4—433no—
336C2×C43—46no—
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—24no—
345C22×#41C2×D4311yescharacteristic
346C23×Q8—431no—
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#391—433no—
370#391—433no—
371#390C2×D4313yes—
372#390C2×D4313yes—
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—433no—
392C4×C22⋊C4—436no—
393C4×C22⋊C4—433no—
394C4×C22⋊C4—433no—
395C4×C22⋊C4—431no—
396C4×C22⋊C4C2×D4313yes—
397C43—433no—
398C43C4×#54811yescharacteristic, complemented, Sylow
399C2×#41—24no—
400C2×#41—24no—
401C2×#41C4×D4318yescomplemented
402C22×Q8—438no—
403C22×Q8—433no—
404C22×Q8—864no—
405C22×Q8—864no—
406C22×Q8C22×D4311yescharacteristic
407C22×D4—433no—
408C22×D4C22×D4313yes—
409C23×C4—433no—
410C23×C4—431no—
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—436no—
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—433no—
442C2×C22⋊C4—436no—
443C2×C22⋊C4—431no—
444C2×C22⋊C4—431no—
445C2×C22⋊C4—436no—
446C2×C22⋊C4—433no—
447C2×C22⋊C4C22×D4313yes—
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—431no—
459C2×C42—431no—
460C2×C42—433no—
461C2×C42—8612no—
462C2×C42—8612no—
463C2×C42C22×D4313yes—
464C2×C42C22×D4313yes—
465#95—431no—
466#95—433no—
467#95—433no—
468#95—433no—
469#95—436no—
470#95—436no—
471#95—436no—
472#95C22×D4311yescharacteristic
473#95C22×D4313yes—
474C24—431no—
475C24C23×D4313yes—
476#41—232no—
477C2×Q8—4312no—
478C2×Q8—8632no—
479C2×Q8—866no—
480C2×Q8—866no—
481C2×Q8C2×C4×D4314yes—
482C2×Q8D4×D4314yes—
483C2×Q8#1062190014yes—
484C2×D4—26no—
485C2×D4—26no—
486C2×D4—4312no—
487C2×D4—866no—
488C2×D4—866no—
489C2×D4C2×C4×D43112yes—
490C22×C4—26no—
491C22×C4—26no—
492C22×C4—431no—
493C22×C4—431no—
494C22×C4—431no—
495C22×C4—433no—
496C22×C4—433no—
497C22×C4—433no—
498C22×C4—4312no—
499C22×C4—434no—
500C22×C4—433no—
501C22×C4—862no—
502C22×C4—862no—
503C22×C4—866no—
504C22×C4—866no—
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×C4C2×C4×D43112yes—
515C22×C4C23×D4313yes—
516C22×C4C23×D4313yes—
517C22×C4C23×D4311yescharacteristic
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—26no—
532C22⋊C4—46no—
533C22⋊C4—4312no—
534C22⋊C4—4324no—
535C22⋊C4—434no—
536C22⋊C4—434no—
537C22⋊C4—866no—
538C22⋊C4—8612no—
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—23no—
553C23—23no—
554C23—23no—
555C23—23no—
556C23—23no—
557C23—23no—
558C23—432no—
559C23—432no—
560C23—432no—
561C23—861no—
562C23—861no—
563C23—861no—
564C23—861no—
565C23C22×C4×D4316yes—
566C23C24×D4311yescharacteristic
567Q8—8624no—
568Q8(C22⋊D43)⋊C4116yescomplemented
569D4—224no—
570D4—8624no—
571C2×C4—21no—
572C2×C4—21no—
573C2×C4—21no—
574C2×C4—21no—
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—436no—
590C2×C4—436no—
591C2×C4—432no—
592C2×C4—868no—
593C2×C4—861no—
594C2×C4—863no—
595C2×C4—863no—
596C2×C4—863no—
597C2×C4—863no—
598C2×C4—863no—
599C2×C4—861no—
600C2×C4—861no—
601C2×C4—863no—
602C2×C4—861no—
603C2×C4—8624no—
604C2×C4—863no—
605C2×C4—863no—
606C2×C4—863no—
607C2×C4—17212no—
608C2×C4—17212no—
609C2×C4—17212no—
610C2×C4C22×C4×D4312yes—
611C2×C4C22×C4×D4316yes—
612C2×C4C2×D4×D4316yes—
613C2×C4#41×D4312yes—
614C2×C4#41×D4312yes—
615C2×C4C2×#1062190016yes—
616C22—26no—
617C22—26no—
618C22—26no—
619C22—43no—
620C22—43no—
621C22—43no—
622C22—43no—
623C22—434no—
624C22—862no—
625C22—862no—
626C22—862no—
627C22—862no—
628C22—862no—
629C22—862no—
630C22C23×C4×D4311yescharacteristic
631C22C22×D4×D4311yescharacteristic
632C22C2×#41×D4311yescharacteristic
633C22C2×#41×D4311yescharacteristic
634C22C22×#1062190011yescharacteristic
635C222−1+4×D4311yescharacteristic
636C22#1458373411yescharacteristic
637C4—22no—
638C4—22no—
639C4—22no—
640C4—43no—
641C4—43no—
642C4—434no—
643C4—862no—
644C4—862no—
645C4—866no—
646C4—866no—
647C4—866no—
648C4—1723no—
649C4C2×(C22⋊D43)⋊C4112yes—
650C2—46no—
651C2—864no—
652C2C22×(C22⋊D43)⋊C411yescharacteristic
653C2C4×#41×D4311yescharacteristic
654C2#1914780611yescharacteristic
655C2#548×D4311yescharacteristic
656C2#1914808511yescharacteristic
657C2#1914819411yescharacteristic
658C2#1914821111yescharacteristic
subgroupG/H
center, FrattiniC23C24×D43
commutatorC22×C43C24×C4
FittingC43×#2341C2
socle, cosocleC23×C43C25
prime radicalC2×#14583556C2
hypercenter#2341D43
hypocenterC43C4×#548
LCSG ▷ C22×C43 ▷ C43
UCSC1 ◁ C23 ◁ #2341

Complements

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

NH ≅ G/Ntype
2. C2×#41×Dic43C2semidirect
3. C2×C4×Q8×D43C2semidirect
4. #19137665C2semidirect
5. #19137620C2semidirect
6. #19137616C2semidirect
7. #19137517C2semidirect
8. #19137513C2semidirect
9. Q8×(C2×D43)⋊C4C2semidirect
10. #19137142C2semidirect
11. #19137123C2semidirect
12. #19137111C2semidirect
13. C4×Q8×Dic43C2semidirect
14. C4×(C22⋊D43)⋊C4C2semidirect
15. C43×#2341C2semidirect
17. #14583556C4semidirect
72. C2×Q8×D43C2×C4semidirect
79. #13063312C2×C4semidirect
80. #13063304C2×C4semidirect
81. #13063296C2×C4semidirect
83. Q8×Dic43C2×C4semidirect
84. Q8×Dic43D4semidirect
89. C4×C22⋊D43C2×C4semidirect
129. C2×#41×C43C2×C4semidirect
187. C2×C4×D43#41semidirect
203. (C2×D43)⋊C4#41semidirect
237. Q8×C43C4×D4semidirect
307. C2×D43C4×#41semidirect
320. Dic43#548semidirect
329. #2341D43semidirect
398. C43C4×#548semidirect
401. C2×#41C4×D43semidirect
568. Q8(C22⋊D43)⋊C4semidirect

Maximal subgroups

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

subgroupindex
C2×#145835562
C2×#41×Dic432
C2×C4×Q8×D432
#191376652
#191376202
#191376162
#191375172
#191375132
Q8×(C2×D43)⋊C42
#191371422
#191371232
#191371112
C4×Q8×Dic432
C4×(C22⋊D43)⋊C42
C43×#23412
C4×#54843