Finite Group Databasebeta

← #25114818

Subgroups — #25114818

Order 11008.

978 conjugacy classes of subgroups.

The subgroup lattice has 674 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#14582975C211yesmaximal, characteristic
2C2×#14582940C211yesmaximal, characteristic, complemented
3#19137525C211yesmaximal, characteristic
4#19137520C211yesmaximal, characteristic
5#19135364C211yesmaximal, characteristic, complemented
6#19135360C211yesmaximal, characteristic, complemented
7#19134794C211yesmaximal, characteristic, complemented
8#19134793C211yesmaximal, characteristic, complemented
9#19134783C211yesmaximal, characteristic, complemented
10#19134781C211yesmaximal, characteristic, complemented
11#19134756C211yesmaximal, characteristic, complemented
12#19134628C211yesmaximal, characteristic, complemented
13#19134625C211yesmaximal, characteristic, complemented
14#107×Dic43C211yesmaximal, characteristic, complemented
15C2×C43×#428C211yesmaximal, characteristic, complemented
16C22×#10621872C2211yescharacteristic
17C2×C4×C22⋊D43C2211yescharacteristic
18C2×#13063283C2211yescharacteristic
19C2×C4⋊C4×D43C2211yescharacteristic
20#14582975C418yescomplemented
21#14582940—24no—
22C2×#13063259C2211yescharacteristic
23C2×#13063258C2211yescharacteristic
24C2×#13063258C2211yescharacteristic
25C2×#13063258C2211yescharacteristic
26C2×#13063257C2211yescharacteristic
27C2×#13063256C2211yescharacteristic
28C2×Dic43⋊C8C2211yescharacteristic
29C2×C22⋊(C43⋊C8)C2211yescharacteristic
30C2×(C2×D43)⋊C8C2211yescharacteristic
31C2×C8×Dic43C2211yescharacteristic
32#14582793—21no—
33#14582789—21no—
34#14582783—21no—
35#14582780—21no—
36#14582778—21no—
37#14582775—21no—
38#14582764C2211yescharacteristic
39#14582764C2211yescharacteristic
40#14582759C2211yescharacteristic
41#14582759C2211yescharacteristic
42#14582756C2211yescharacteristic
43#14582756C2211yescharacteristic
44C4⋊C4×Dic43C2211yescharacteristic
45C4⋊C4×Dic43C2211yescharacteristic
46C4×(C2×D43)⋊C4—21no—
47C4×C22⋊Dic43—21no—
48#14582662C2211yescharacteristic
49#14582662C2211yescharacteristic
50#14582661C2211yescharacteristic
51#14582661C2211yescharacteristic
52#14582661C2211yescharacteristic
53#14582661C2211yescharacteristic
54C22×M16×C43C2211yescharacteristic
55C2×#117×C43C2211yescharacteristic
56C22×C4⋊C4×C43C2211yescharacteristic
57C43×#428—24no—
58C2×#107×C43C2211yescharacteristic
59C2×#107×C43C2211yescharacteristic
60C2×#106×C43C2211yescharacteristic
61C2×#106×C43C2211yescharacteristic
62C22×C22⋊D43D411yescharacteristic
63C22×C4×D43—21no—
64C22×C4×D43C2311yescharacteristic
65C2×#10621872—22no—
66C2×#10621872—22no—
67C2×#10621872C2×C414yescomplemented
68C22×C43⋊C8C2311yescharacteristic
69C22×C43⋊C8C2311yescharacteristic
70C4×C22⋊D43C2×C414yes—
71C4×C22⋊D43Q814yes—
72#13063283—22no—
73#13063283—41no—
74C2×C4⋊Dic43C2311yescharacteristic
75C2×C4⋊Dic43C2311yescharacteristic
76C2×C4⋊Dic43C2311yescharacteristic
77C2×C4⋊Dic43C2311yescharacteristic
78C2×Dic43⋊C4—21no—
79C2×Dic43⋊C4D411yescharacteristic
80C4⋊C4×D43—22no—
81C4⋊C4×D43—41no—
82C2×C22⋊Dic43—21no—
83C2×C22⋊Dic43—21no—
84C2×C22⋊Dic43D411yescharacteristic
85C2×(C2×D43)⋊C4—21no—
86C2×(C2×D43)⋊C4—21no—
87C2×(C2×D43)⋊C4—21no—
88C2×(C2×D43)⋊C4D411yescharacteristic
89C2×C4×Dic43—21no—
90C2×C4×Dic43—21no—
91C2×C4×Dic43—21no—
92C2×C4×Dic43C2311yescharacteristic
93#13063259—22no—
94#13063258—22no—
95#13063258—41no—
96#13063258—41no—
97#13063257—22no—
98#13063256—22no—
99Dic43⋊C8C2×C414yescomplemented
100C22⋊(C43⋊C8)C2×C414yescomplemented
101(C2×D43)⋊C8C2×C414yescomplemented
102C8×Dic43C2×C414yescomplemented
103C43⋊#95—21no—
104C43⋊#95—21no—
105C43⋊#95—21no—
106C43⋊#95—21no—
107C43⋊#95—21no—
108C43⋊#95—21no—
109C43⋊#95—21no—
110C43⋊#95—21no—
111C43⋊#95—21no—
112C43⋊#95—21no—
113C23×C4×C43—21no—
114C23×C4×C43C2311yescharacteristic
115C2×M16×C43—22no—
116C2×M16×C43—22no—
117C2×M16×C43C2×C414yescomplemented
118C22×C8×C43C2311yescharacteristic
119C22×C8×C43C2311yescharacteristic
120#117×C43—22no—
121#117×C43—41no—
122C2×C4⋊C4×C43—22no—
123C2×C4⋊C4×C43—21no—
124C2×C4⋊C4×C43—41no—
125C2×C4⋊C4×C43C2311yescharacteristic
126C2×C4⋊C4×C43C2311yescharacteristic
127C2×C4⋊C4×C43C2311yescharacteristic
128C2×C4⋊C4×C43C2311yescharacteristic
129C2×C22⋊C4×C43—21no—
130C2×C42×C43—21no—
131#107×C43—22no—
132#107×C43D414yescomplemented
133#106×C43—22no—
134#106×C43—22no—
135C24×C43C2×D411yescharacteristic
136C23×D43C2×D411yescharacteristic
137C22×C4×C43—21no—
138C22×C4×C43—21no—
139C22×C4×C43—21no—
140C22×C4×C43—21no—
141C22×C4×C43—21no—
142C22×C4×C43—21no—
143C22×C4×C43—21no—
144C22×C4×C43—21no—
145C22×C4×C43—42no—
146C22×C4×C43—42no—
147C22×C4×C43—81no—
148C22×C4×C43C22×C412yes—
149C22×C4×C43C2×D411yescharacteristic
150C22×C4×C43C2×Q812yes—
151C22×C4×C43C2411yescharacteristic
152C2×C22⋊D43—41no—
153C2×C22⋊D43—41no—
154C2×C22⋊D43C4⋊C414yes—
155C22×Dic43—21no—
156C22×Dic43—21no—
157C22×Dic43—21no—
158C22×Dic43—21no—
159C22×Dic43C2×D411yescharacteristic
160C22×Dic43C2×D411yescharacteristic
161C22×Dic43C2×D411yescharacteristic
162C2×C4×D43—21no—
163C2×C4×D43—21no—
164C2×C4×D43—21no—
165C2×C4×D43—21no—
166C2×C4×D43—42no—
167C2×C4×D43—42no—
168C2×C4×D43—81no—
169C2×C4×D43C22×C412yes—
170C2×C4×D43C2×Q812yes—
171M16×C43—28no—
172C2×C8×C43—21no—
173C2×C8×C43—21no—
174C2×C8×C43C22×C412yes—
175C2×C8×C43C22×C412yes—
176C2×C8×C43C2×D412yes—
177C2×C8×C43#4112yes—
178C4⋊C4×C43—21no—
179C4⋊C4×C43—21no—
180C4⋊C4×C43—21no—
181C4⋊C4×C43—21no—
182C4⋊C4×C43—21no—
183C4⋊C4×C43—21no—
184C4⋊C4×C43—42no—
185C4⋊C4×C43C2×D412yes—
186C4⋊C4×C43C2×D412yes—
187C22⋊C4×C43—42no—
188C42×C43—42no—
189C22⋊Dic43—42no—
190C22⋊Dic43—81no—
191C22⋊Dic43C4⋊C414yes—
192(C2×D43)⋊C4—42no—
193(C2×D43)⋊C4—42no—
194(C2×D43)⋊C4—81no—
195(C2×D43)⋊C4C4⋊C414yes—
196C4⋊Dic43—21no—
197C4⋊Dic43—21no—
198C4⋊Dic43—21no—
199C4⋊Dic43—21no—
200C4⋊Dic43—21no—
201C4⋊Dic43—21no—
202C4⋊Dic43—21no—
203C4⋊Dic43—21no—
204Dic43⋊C4—42no—
205Dic43⋊C4C4⋊C414yes—
206C4×Dic43—42no—
207C4×Dic43—81no—
208C4×Dic43—81no—
209C4×Dic43C22×C412yes—
210C4×Dic43C2×Q812yes—
211C2×C43⋊C8—21no—
212C2×C43⋊C8—21no—
213C2×C43⋊C8—21no—
214C2×C43⋊C8—21no—
215C2×C43⋊C8C22×C412yes—
216C2×C43⋊C8C22×C412yes—
217#10621872—28no—
218C23×C43—21no—
219C23×C43—21no—
220C23×C43—21no—
221C23×C43—21no—
222C23×C43—21no—
223C23×C43—21no—
224C23×C43C2×C4⋊C412yes—
225C23×C43C22×D411yescharacteristic
226C22×D43—21no—
227C22×D43—21no—
228C22×D43—21no—
229C22×D43—21no—
230C22×D43—21no—
231C22×D43—21no—
232C22×D43C2×C4⋊C412yes—
233C2×C4×C43—21no—
234C2×C4×C43—21no—
235C2×C4×C43—22no—
236C2×C4×C43—22no—
237C2×C4×C43—22no—
238C2×C4×C43—22no—
239C2×C4×C43—22no—
240C2×C4×C43—22no—
241C2×C4×C43—41no—
242C2×C4×C43—41no—
243C2×C4×C43—41no—
244C2×C4×C43—41no—
245C2×C4×C43—41no—
246C2×C4×C43—41no—
247C2×C4×C43—41no—
248C2×C4×C43—41no—
249C2×C4×C43—41no—
250C2×C4×C43—41no—
251C2×C4×C43—84no—
252C2×C4×C43C2×C4⋊C412yes—
253C2×C4×C43C23×C411yescharacteristic
254C2×C4×C43C22×D411yescharacteristic
255C2×C4×C43C22×Q811yescharacteristic
256C2×C4×C43C2×#4111yescharacteristic
257C2×C4×C43H(5,𝔽2)11yescharacteristic
258C2×C4×C432−1+411yescharacteristic
259C22⋊D43—44no—
260C2×Dic43—21no—
261C2×Dic43—21no—
262C2×Dic43—21no—
263C2×Dic43—21no—
264C2×Dic43—21no—
265C2×Dic43—21no—
266C2×Dic43—41no—
267C2×Dic43—41no—
268C2×Dic43—41no—
269C2×Dic43—41no—
270C2×Dic43—41no—
271C2×Dic43—41no—
272C2×Dic43—41no—
273C2×Dic43—41no—
274C2×Dic43—41no—
275C2×Dic43—41no—
276C2×Dic43—41no—
277C2×Dic43—41no—
278C2×Dic43C2×C4⋊C412yes—
279C2×Dic43C2×C4⋊C412yes—
280C2×Dic43C2×C4⋊C412yes—
281C4×D43—22no—
282C4×D43—22no—
283C4×D43—22no—
284C4×D43—22no—
285C4×D43—84no—
286C8×C43—22no—
287C8×C43C4×D414yes—
288C43⋊C8—22no—
289C43⋊C8—22no—
290#22664—431nomaximal, Sylow
291C22×C43—22no—
292C22×C43—22no—
293C22×C43—22no—
294C22×C43—41no—
295C22×C43—41no—
296C22×C43—41no—
297C22×C43—41no—
298C22×C43C22×C4⋊C411yescharacteristic
299C22×C43D4211yescharacteristic
300C22×C43#54711yescharacteristic
301C22×C43#57511yescharacteristic
302C22×C43#57511yescharacteristic
303C22×C43#57611yescharacteristic
304C22×C43#57811yescharacteristic
305C2×D43—22no—
306C2×D43—22no—
307C2×D43—22no—
308C2×D43—41no—
309C2×D43—41no—
310C2×D43—41no—
311C2×D43—41no—
312C4×C43—22no—
313C4×C43—42no—
314C4×C43—42no—
315C4×C43—81no—
316C4×C43—81no—
317C4×C43C2×C4×D411yescharacteristic
318C4×C43#52011yescharacteristic
319C4×C43D4×Q811yescharacteristic
320C4×C43#55411yescharacteristic
321Dic43—22no—
322Dic43—22no—
323Dic43—22no—
324Dic43—81no—
325Dic43—81no—
326Dic43—81no—
327Dic43—81no—
328C2×#436—431no—
329C2×#428—431no—
330C2×#428D4311yescharacteristic, complemented
331#2352—431no—
332#2352—431no—
333#1949—431no—
334#1949—431no—
335#1854—431no—
336#1854—431no—
337#1852—431no—
338#1852—431no—
339#1846—431no—
340#1809—431no—
341#1809—431no—
342C4×#107—431no—
343C2×C43—42no—
344C2×C43D4×C4⋊C411yescharacteristic
345C2×C43#291111yescharacteristic
346C2×C43#291311yescharacteristic
347C2×C43#327311yescharacteristic
348C2×C43#327711yescharacteristic
349C2×C43#335211yescharacteristic
350C2×C43#335511yescharacteristic
351D43—42no—
352C22×M16—431no—
353C22×M16C2×D4311yescharacteristic
354C2×C4×D4—431no—
355C2×#117—431no—
356C2×#117C2×D4311yescharacteristic
357C22×C4⋊C4—431no—
358C22×C4⋊C4C2×D4311yescharacteristic
359#436—438no—
360#428—24no—
361#428—864no—
362C2×#107—431no—
363C2×#107—431no—
364C2×#107—431no—
365C2×#107—431no—
366C2×#107C2×D4311yescharacteristic
367C2×#107C2×D4311yescharacteristic
368C2×#106—431no—
369C2×#106—431no—
370C2×#106C2×D4311yescharacteristic
371C2×#106C2×D4311yescharacteristic
372C2×C4⋊C8—431no—
373C2×C22⋊C8—431no—
374C2×C22⋊C8—431no—
375C2×C4×C8—431no—
376#388—861no—
377#388—861no—
378#387—861no—
379#387—861no—
380#386—861no—
381#386—861no—
382#382—431no—
383#382—431no—
384#380—431no—
385#380—431no—
386#380—431no—
387#380—431no—
388C4×C4⋊C4—431no—
389C4×C4⋊C4—431no—
390C4×C22⋊C4—861no—
391C4×C22⋊C4—861no—
392#340—431no—
393#340—431no—
394#340—431no—
395#340—431no—
396#340—431no—
397#340—431no—
398C43#2266411yescharacteristic, complemented, Sylow
399C22×D4—431no—
400C23×C4—21no—
401C23×C4—431no—
402C23×C4—861no—
403C23×C4C22×D4311yescharacteristic
404C2×M16—22no—
405C2×M16—22no—
406C2×M16—434no—
407C2×M16—862no—
408C2×M16—862no—
409C2×M16C4×D4314yescomplemented
410C22×C8—431no—
411C22×C8—431no—
412C22×C8C22×D4311yescharacteristic
413C22×C8C22×D4311yescharacteristic
414C4×D4—434no—
415C4×D4—434no—
416#117—22no—
417#117—41no—
418#117—862no—
419#117—1721no—
420C2×C4⋊C4—22no—
421C2×C4⋊C4—21no—
422C2×C4⋊C4—41no—
423C2×C4⋊C4—431no—
424C2×C4⋊C4—431no—
425C2×C4⋊C4—431no—
426C2×C4⋊C4—431no—
427C2×C4⋊C4—431no—
428C2×C4⋊C4—862no—
429C2×C4⋊C4—861no—
430C2×C4⋊C4—1721no—
431C2×C4⋊C4C22×D4311yescharacteristic
432C2×C4⋊C4C22×D4311yescharacteristic
433C2×C4⋊C4C22×D4311yescharacteristic
434C2×C4⋊C4C22×D4311yescharacteristic
435C2×C22⋊C4—21no—
436C2×C22⋊C4—431no—
437C2×C22⋊C4—431no—
438C2×C22⋊C4—861no—
439C2×C22⋊C4—861no—
440C2×C22⋊C4—861no—
441C2×C22⋊C4—861no—
442C2×C22⋊C4—861no—
443C2×C42—21no—
444C2×C42—431no—
445C2×C42—861no—
446C2×C42—861no—
447C2×C42—861no—
448#107—22no—
449#107—862no—
450#107—862no—
451#107—1721no—
452#107—1721no—
453#107C22⋊D4314yescomplemented
454#106—22no—
455#106—22no—
456#106—862no—
457#106—862no—
458C4⋊C8—434no—
459C22⋊C8—434no—
460C22⋊C8—434no—
461C4×C8—434no—
462#95—861no—
463#95—861no—
464#95—861no—
465#95—861no—
466#95—861no—
467#95—861no—
468#95—861no—
469#95—861no—
470#95—861no—
471#95—861no—
472C24—431no—
473C24D4×D4311yescharacteristic
474C2×D4—434no—
475C2×D4—1721no—
476C2×D4—1721no—
477C22×C4—21no—
478C22×C4—21no—
479C22×C4—21no—
480C22×C4—21no—
481C22×C4—21no—
482C22×C4—21no—
483C22×C4—21no—
484C22×C4—21no—
485C22×C4—42no—
486C22×C4—42no—
487C22×C4—81no—
488C22×C4—431no—
489C22×C4—431no—
490C22×C4—431no—
491C22×C4—432no—
492C22×C4—432no—
493C22×C4—861no—
494C22×C4—861no—
495C22×C4—861no—
496C22×C4—861no—
497C22×C4—861no—
498C22×C4—861no—
499C22×C4—861no—
500C22×C4—861no—
501C22×C4—3441no—
502C22×C4—1722no—
503C22×C4—1722no—
504C22×C4C2×C4×D4312yes—
505C22×C4D4×D4311yescharacteristic
506C22×C4Q8×D4312yes—
507C22×C4C23×D4311yescharacteristic
508M16—28no—
509M16—868no—
510C2×C8—21no—
511C2×C8—21no—
512C2×C8—432no—
513C2×C8—432no—
514C2×C8—861no—
515C2×C8—861no—
516C2×C8—861no—
517C2×C8—861no—
518C2×C8C2×C4×D4312yes—
519C2×C8C2×C4×D4312yes—
520C2×C8#1062189812yes—
521C2×C8C2×C22⋊D4312yes—
522C4⋊C4—21no—
523C4⋊C4—21no—
524C4⋊C4—21no—
525C4⋊C4—21no—
526C4⋊C4—21no—
527C4⋊C4—21no—
528C4⋊C4—42no—
529C4⋊C4—434no—
530C4⋊C4—861no—
531C4⋊C4—861no—
532C4⋊C4—861no—
533C4⋊C4—861no—
534C4⋊C4—861no—
535C4⋊C4—861no—
536C4⋊C4—861no—
537C4⋊C4—861no—
538C4⋊C4—1722no—
539C4⋊C4C2×C22⋊D4312yes—
540C4⋊C4C2×C22⋊D4312yes—
541C22⋊C4—42no—
542C22⋊C4—434no—
543C22⋊C4—434no—
544C22⋊C4—3441no—
545C22⋊C4—3441no—
546C22⋊C4—1722no—
547C22⋊C4—1722no—
548C22⋊C4—1722no—
549C42—42no—
550C42—432no—
551C42—432no—
552C42—3441no—
553C42—3441no—
554C42—1722no—
555C23—21no—
556C23—21no—
557C23—21no—
558C23—21no—
559C23—21no—
560C23—21no—
561C23—432no—
562C23—861no—
563C23—861no—
564C23—861no—
565C23—861no—
566C23—861no—
567C23—861no—
568C23C4⋊C4×D4312yes—
569C23C2×D4×D4311yescharacteristic
570D4—1724no—
571C2×C4—21no—
572C2×C4—21no—
573C2×C4—22no—
574C2×C4—22no—
575C2×C4—22no—
576C2×C4—22no—
577C2×C4—22no—
578C2×C4—22no—
579C2×C4—41no—
580C2×C4—41no—
581C2×C4—41no—
582C2×C4—41no—
583C2×C4—41no—
584C2×C4—41no—
585C2×C4—41no—
586C2×C4—41no—
587C2×C4—41no—
588C2×C4—41no—
589C2×C4—84no—
590C2×C4—432no—
591C2×C4—432no—
592C2×C4—432no—
593C2×C4—861no—
594C2×C4—861no—
595C2×C4—861no—
596C2×C4—861no—
597C2×C4—861no—
598C2×C4—861no—
599C2×C4—862no—
600C2×C4—862no—
601C2×C4—862no—
602C2×C4—862no—
603C2×C4—3444no—
604C2×C4—1721no—
605C2×C4—1721no—
606C2×C4—1721no—
607C2×C4—1721no—
608C2×C4—1721no—
609C2×C4—1721no—
610C2×C4—1721no—
611C2×C4—1721no—
612C2×C4—1721no—
613C2×C4—1721no—
614C2×C4—1721no—
615C2×C4—1721no—
616C2×C4C4⋊C4×D4312yes—
617C2×C4C22×C4×D4311yescharacteristic
618C2×C4C22×C22⋊D4311yescharacteristic
619C2×C4C2×Q8×D4311yescharacteristic
620C2×C4C2×#1062189811yescharacteristic
621C2×C4#1306337011yescharacteristic
622C2×C4#1306337311yescharacteristic
623C8—22no—
624C8—862no—
625C8—862no—
626C8C4×C22⋊D4314yes—
627C22—22no—
628C22—22no—
629C22—22no—
630C22—41no—
631C22—41no—
632C22—41no—
633C22—41no—
634C22—862no—
635C22—862no—
636C22—862no—
637C22—1721no—
638C22—1721no—
639C22—1721no—
640C22—1721no—
641C22C2×C4⋊C4×D4311yescharacteristic
642C22D4×C22⋊D4311yescharacteristic
643C22#1458355011yescharacteristic
644C22#1458369511yescharacteristic
645C22#1458369811yescharacteristic
646C22#1458370311yescharacteristic
647C22#1458371511yescharacteristic
648C4—22no—
649C4—42no—
650C4—42no—
651C4—81no—
652C4—81no—
653C4—862no—
654C4—862no—
655C4—862no—
656C4—3441no—
657C4—3441no—
658C4—3441no—
659C4—3441no—
660C4C2×C4×C22⋊D4311yescharacteristic
661C4#1458338011yescharacteristic
662C4Q8×C22⋊D4311yescharacteristic
663C4#1458360411yescharacteristic
664C2—42no—
665C2—1722no—
666C2C4⋊C4×C22⋊D4311yescharacteristic
667C2#1914318211yescharacteristic
668C2#1914319411yescharacteristic
669C2#1914620011yescharacteristic
670C2#1914624611yescharacteristic
671C2#1914716611yescharacteristic
672C2#1914719711yescharacteristic
subgroupG/H
centerC23C2×D4×D43
commutatorC2×C4×C43C23×C4
FrattiniC22×C4C23×D43
FittingC2×C43×#428C2
socleC23×C43C22×D4
prime radicalC22×C22⋊D43D4
cosocleC22×C4×C43C24
hypercenterC2×#428D43
hypocenterC43#22664
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C23 ◁ C23×C4 ◁ C2×#428

Complements

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

NH ≅ G/Ntype
2. C2×#14582940C2semidirect
5. #19135364C2semidirect
6. #19135360C2semidirect
7. #19134794C2semidirect
8. #19134793C2semidirect
9. #19134783C2semidirect
10. #19134781C2semidirect
11. #19134756C2semidirect
12. #19134628C2semidirect
13. #19134625C2semidirect
14. #107×Dic43C2semidirect
15. C2×C43×#428C2semidirect
20. #14582975C4semidirect
67. C2×#10621872C2×C4semidirect
99. Dic43⋊C8C2×C4semidirect
100. C22⋊(C43⋊C8)C2×C4semidirect
101. (C2×D43)⋊C8C2×C4semidirect
102. C8×Dic43C2×C4semidirect
117. C2×M16×C43C2×C4semidirect
132. #107×C43D4semidirect
330. C2×#428D43semidirect
398. C43#22664semidirect
409. C2×M16C4×D43semidirect
453. #107C22⋊D43semidirect

Maximal subgroups

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

subgroupindex
C2×#145829752
C2×#145829402
#191375252
#191375202
#191353642
#191353602
#191347942
#191347932
#191347832
#191347812
#191347562
#191346282
#191346252
#107×Dic432
C2×C43×#4282
#2266443