Finite Group Databasebeta

← #25114718

Subgroups — #25114718

Order 11008.

1010 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×D4×C43⋊C8C211yesmaximal, characteristic
2C2×#14582935C211yesmaximal, characteristic, complemented
3C22×#13063258C211yesmaximal, characteristic, complemented
4#19137524C211yesmaximal, characteristic
5#19135363C211yesmaximal, characteristic, complemented
6#19135361C211yesmaximal, characteristic, complemented
7#19134794C211yesmaximal, characteristic, complemented
8#19134792C211yesmaximal, characteristic, complemented
9#19134788C211yesmaximal, characteristic, complemented
10#19134787C211yesmaximal, characteristic, complemented
11#19134757C211yesmaximal, characteristic, complemented
12#19134622C211yesmaximal, characteristic, complemented
13#19134622C211yesmaximal, characteristic, complemented
14C4×#13063258C211yesmaximal, characteristic, complemented
15C43×#2352C211yesmaximal, characteristic
16C23×C43⋊C8C2211yescharacteristic
17C23×C43⋊C8C2211yescharacteristic
18C2×#13063284C2211yescharacteristic
19C22×C4⋊Dic43C2211yescharacteristic
20D4×C43⋊C8C418yescomplemented
21#14582935—24no—
22C2×#13063258—24no—
23C2×#13063258C2211yescharacteristic
24C2×#13063258C2211yescharacteristic
25C2×#13063258C2211yescharacteristic
26C2×#13063258C2211yescharacteristic
27C2×#13063258C2211yescharacteristic
28C2×#13063258C2211yescharacteristic
29C2×#13063256C2211yescharacteristic
30C2×#13063256C2211yescharacteristic
31C2×#13063256C2211yescharacteristic
32C2×#13063256C2211yescharacteristic
33C2×C4⋊(C43⋊C8)C2211yescharacteristic
34C2×C22⋊(C43⋊C8)C2211yescharacteristic
35C2×C22⋊(C43⋊C8)C2211yescharacteristic
36C2×C4×C43⋊C8C2211yescharacteristic
37#14582792—21no—
38#14582785—21no—
39#14582779—21no—
40#14582765C2211yescharacteristic
41#14582759C2211yescharacteristic
42#14582759C2211yescharacteristic
43C4×C4⋊Dic43C2211yescharacteristic
44C22⋊C4×Dic43—21no—
45#14582661C2211yescharacteristic
46#14582661C2211yescharacteristic
47#14582661C2211yescharacteristic
48#14582661C2211yescharacteristic
49#14582661C2211yescharacteristic
50#14582661C2211yescharacteristic
51C2×C4×D4×C43C2211yescharacteristic
52C2×#117×C43C2211yescharacteristic
53C22×C4⋊C4×C43C2211yescharacteristic
54C43×#388—21no—
55C43×#387—21no—
56C43×#386—21no—
57C43×#382C2211yescharacteristic
58C43×#380C2211yescharacteristic
59C43×#380C2211yescharacteristic
60C4×C4⋊C4×C43C2211yescharacteristic
61C4×C22⋊C4×C43—21no—
62C23×Dic43—21no—
63C22×C43⋊C8—22no—
64C22×C43⋊C8—22no—
65C22×C43⋊C8—22no—
66C22×C43⋊C8—22no—
67C22×C43⋊C8C2×C414yes—
68C22×C43⋊C8C2×C414yescomplemented
69C22×C43⋊C8C2311yescharacteristic
70C22×C43⋊C8C2311yescharacteristic
71C22×C43⋊C8C2311yescharacteristic
72C22×C43⋊C8C2311yescharacteristic
73#13063284—22no—
74#13063284—41no—
75C2×C4⋊Dic43—22no—
76C2×C4⋊Dic43—21no—
77C2×C4⋊Dic43—41no—
78C2×C4⋊Dic43C2311yescharacteristic
79C2×C4⋊Dic43C2311yescharacteristic
80C2×C4⋊Dic43C2311yescharacteristic
81C2×C4⋊Dic43C2311yescharacteristic
82C2×C22⋊Dic43—21no—
83C2×C22⋊Dic43—21no—
84C2×C22⋊Dic43—21no—
85C2×C4×Dic43—21no—
86C2×C4×Dic43—21no—
87#13063258—22no—
88#13063258—22no—
89#13063258—22no—
90#13063258—22no—
91#13063258—22no—
92#13063258D414yescomplemented
93#13063256—22no—
94#13063256—22no—
95#13063256—41no—
96#13063256—41no—
97C4⋊(C43⋊C8)C2×C414yescomplemented
98C22⋊(C43⋊C8)C2×C414yes—
99C22⋊(C43⋊C8)C2×C414yescomplemented
100C4×C43⋊C8C2×C414yescomplemented
101C43⋊#95—21no—
102C43⋊#95—21no—
103C43⋊#95—21no—
104C43⋊#95—21no—
105C43⋊#95—21no—
106C22×D4×C43D411yescharacteristic
107C23×C4×C43—21no—
108C23×C4×C43C2311yescharacteristic
109C23×C4×C43C2311yescharacteristic
110C4×D4×C43C2×C414yes—
111C4×D4×C43Q814yes—
112#117×C43—22no—
113#117×C43—41no—
114C2×C4⋊C4×C43—22no—
115C2×C4⋊C4×C43—21no—
116C2×C4⋊C4×C43—41no—
117C2×C4⋊C4×C43D411yescharacteristic
118C2×C4⋊C4×C43C2311yescharacteristic
119C2×C4⋊C4×C43C2311yescharacteristic
120C2×C4⋊C4×C43C2311yescharacteristic
121C2×C4⋊C4×C43C2311yescharacteristic
122C2×C22⋊C4×C43—21no—
123C2×C22⋊C4×C43—21no—
124C2×C22⋊C4×C43—21no—
125C2×C22⋊C4×C43D411yescharacteristic
126C2×C22⋊C4×C43D411yescharacteristic
127C2×C42×C43—21no—
128C2×C42×C43—21no—
129C2×C42×C43C2311yescharacteristic
130#95×C43—21no—
131#95×C43—21no—
132#95×C43—21no—
133#95×C43—21no—
134#95×C43—21no—
135C24×C43C2×D411yescharacteristic
136C24×C43C2×D411yescharacteristic
137C2×D4×C43—22no—
138C2×D4×C43—22no—
139C2×D4×C43C4⋊C414yes—
140C22×C4×C43—21no—
141C22×C4×C43—21no—
142C22×C4×C43—21no—
143C22×C4×C43—21no—
144C22×C4×C43—21no—
145C22×C4×C43—21no—
146C22×C4×C43—21no—
147C22×C4×C43—21no—
148C22×C4×C43—21no—
149C22×C4×C43—21no—
150C22×C4×C43—21no—
151C22×C4×C43—21no—
152C22×C4×C43—42no—
153C22×C4×C43—42no—
154C22×C4×C43—81no—
155C22×C4×C43C22×C412yes—
156C22×C4×C43C22×C412yes—
157C22×C4×C43C2×D411yescharacteristic
158C22×C4×C43C2×D411yescharacteristic
159C22×C4×C43C2×D411yescharacteristic
160C22×C4×C43C2×D411yescharacteristic
161C22×C4×C43C2×Q812yes—
162C22×C4×C43C2×Q812yes—
163C22×C4×C43C2411yescharacteristic
164C22×Dic43—21no—
165C22×Dic43—21no—
166C22×Dic43—21no—
167C22×Dic43—21no—
168C22×Dic43—42no—
169C22×Dic43—42no—
170C22×Dic43—81no—
171C4⋊C4×C43—21no—
172C4⋊C4×C43—21no—
173C4⋊C4×C43—21no—
174C4⋊C4×C43—21no—
175C4⋊C4×C43—21no—
176C4⋊C4×C43—21no—
177C4⋊C4×C43—21no—
178C4⋊C4×C43—42no—
179C4⋊C4×C43C4⋊C414yes—
180C4⋊C4×C43C2×D412yes—
181C22⋊C4×C43—42no—
182C22⋊C4×C43—42no—
183C22⋊C4×C43—81no—
184C22⋊C4×C43C4⋊C414yes—
185C22⋊C4×C43C4⋊C414yes—
186C42×C43—42no—
187C42×C43—81no—
188C42×C43C22×C412yes—
189C42×C43C2×Q812yes—
190C22⋊Dic43—42no—
191C22⋊Dic43—42no—
192C22⋊Dic43—81no—
193C4⋊Dic43—21no—
194C4⋊Dic43—21no—
195C4⋊Dic43—21no—
196C4⋊Dic43—21no—
197C4⋊Dic43—21no—
198C4⋊Dic43—21no—
199C4⋊Dic43—21no—
200C4⋊Dic43—42no—
201C4⋊Dic43C2×D412yes—
202C4×Dic43—42no—
203C4×Dic43—81no—
204C2×C43⋊C8—21no—
205C2×C43⋊C8—21no—
206C2×C43⋊C8—21no—
207C2×C43⋊C8—21no—
208C2×C43⋊C8—21no—
209C2×C43⋊C8—21no—
210C2×C43⋊C8—28no—
211C2×C43⋊C8—28no—
212C2×C43⋊C8C22×C412yes—
213C2×C43⋊C8C22×C412yes—
214C2×C43⋊C8C22×C412yes—
215C2×C43⋊C8C22×C412yes—
216C2×C43⋊C8C2×D412yes—
217C2×C43⋊C8#4112yes—
218C23×C43—21no—
219C23×C43—21no—
220C23×C43—21no—
221C23×C43—21no—
222C23×C43—21no—
223C23×C43—21no—
224C23×C43—21no—
225C23×C43—21no—
226C23×C43—21no—
227C23×C43—21no—
228C23×C43C2×C4⋊C412yes—
229C23×C43C2×C4⋊C412yes—
230C23×C43#13512yes—
231C23×C43#13512yes—
232C23×C43C22×D411yescharacteristic
233D4×C43—28no—
234C2×C4×C43—21no—
235C2×C4×C43—21no—
236C2×C4×C43—21no—
237C2×C4×C43—21no—
238C2×C4×C43—21no—
239C2×C4×C43—21no—
240C2×C4×C43—21no—
241C2×C4×C43—21no—
242C2×C4×C43—22no—
243C2×C4×C43—22no—
244C2×C4×C43—22no—
245C2×C4×C43—22no—
246C2×C4×C43—22no—
247C2×C4×C43—22no—
248C2×C4×C43—22no—
249C2×C4×C43—22no—
250C2×C4×C43—22no—
251C2×C4×C43—41no—
252C2×C4×C43—41no—
253C2×C4×C43—41no—
254C2×C4×C43—41no—
255C2×C4×C43—41no—
256C2×C4×C43—41no—
257C2×C4×C43—41no—
258C2×C4×C43—41no—
259C2×C4×C43—41no—
260C2×C4×C43—41no—
261C2×C4×C43—41no—
262C2×C4×C43—84no—
263C2×C4×C43C2×C4⋊C412yes—
264C2×C4×C43C2×C4⋊C412yes—
265C2×C4×C43C2×C4⋊C412yes—
266C2×C4×C43C2×C4⋊C412yes—
267C2×C4×C43C23×C411yescharacteristic
268C2×C4×C43C22×D411yescharacteristic
269C2×C4×C43C22×Q811yescharacteristic
270C2×C4×C43C2×#4111yescharacteristic
271C2×C4×C43H(5,𝔽2)11yescharacteristic
272C2×C4×C432−1+411yescharacteristic
273C2×Dic43—22no—
274C2×Dic43—41no—
275C2×Dic43—41no—
276C2×Dic43—41no—
277C2×Dic43—41no—
278C2×Dic43—41no—
279C2×Dic43—41no—
280C2×Dic43—41no—
281C2×Dic43—41no—
282C2×Dic43—41no—
283C2×Dic43—41no—
284C2×Dic43—41no—
285C2×Dic43—84no—
286C43⋊C8—22no—
287C43⋊C8—22no—
288C43⋊C8—22no—
289C43⋊C8C4×D414yes—
290#22656—431nomaximal, Sylow
291C22×C43—22no—
292C22×C43—22no—
293C22×C43—22no—
294C22×C43—22no—
295C22×C43—22no—
296C22×C43—22no—
297C22×C43—22no—
298C22×C43—22no—
299C22×C43—22no—
300C22×C43—41no—
301C22×C43—41no—
302C22×C43—41no—
303C22×C43—41no—
304C22×C43#42714yescomplemented
305C22×C43C22×C4⋊C411yescharacteristic
306C22×C43D4211yescharacteristic
307C22×C43#54711yescharacteristic
308C22×C43C2×#13511yescharacteristic
309C22×C43C2×#13511yescharacteristic
310C22×C43#57611yescharacteristic
311C22×C43#57811yescharacteristic
312C4×C43—22no—
313C4×C43—22no—
314C4×C43—22no—
315C4×C43—22no—
316C4×C43—42no—
317C4×C43—81no—
318C4×C43—81no—
319C4×C43—81no—
320C4×C43C2×C4×D411yescharacteristic
321C4×C43#52011yescharacteristic
322C4×C43D4×Q811yescharacteristic
323C4×C43#55411yescharacteristic
324Dic43—42no—
325Dic43—81no—
326Dic43—81no—
327Dic43—81no—
328C2×C8×D4—431no—
329C2×#427—431no—
330C22×#107—431no—
331#2352—431no—
332#2352D4311yescharacteristic
333#1949—431no—
334#1949—431no—
335#1854—431no—
336#1854—431no—
337#1853—431no—
338#1853—431no—
339#1846—431no—
340#1808—431no—
341#1808—431no—
342C4×#107—431no—
343C2×C43—24no—
344C2×C43—42no—
345C2×C43D4×C4⋊C411yescharacteristic
346C2×C43C2×#42711yescharacteristic
347C2×C43#291311yescharacteristic
348C2×C43#328011yescharacteristic
349C2×C43#328511yescharacteristic
350C2×C43#333611yescharacteristic
351C2×C43#333911yescharacteristic
352C23×C8—431no—
353C23×C8—431no—
354C2×C4×D4C2×D4311yescharacteristic
355C2×#117—431no—
356C2×#117C2×D4311yescharacteristic
357C22×C4⋊C4—431no—
358C22×C4⋊C4C2×D4311yescharacteristic
359C8×D4—438no—
360#427—864no—
361C2×#107—431no—
362C2×#107—431no—
363C2×#107—431no—
364C2×#107—431no—
365C2×#107—431no—
366C2×#107—431no—
367C2×#107—864no—
368C2×#106—431no—
369C2×#106—431no—
370C2×#106—431no—
371C2×#106—431no—
372C2×C4⋊C8—431no—
373C2×C22⋊C8—431no—
374C2×C22⋊C8—431no—
375C2×C4×C8—431no—
376#388—21no—
377#388—861no—
378#387—21no—
379#387—861no—
380#386—21no—
381#386—861no—
382#382—431no—
383#382C2×D4311yescharacteristic
384#380—431no—
385#380—431no—
386#380C2×D4311yescharacteristic
387#380C2×D4311yescharacteristic
388C4×C4⋊C4—431no—
389C4×C4⋊C4C2×D4311yescharacteristic
390C4×C22⋊C4—21no—
391C4×C22⋊C4—861no—
392#340—431no—
393#340—431no—
394#340—431no—
395#340—431no—
396#340—431no—
397#340—431no—
398C43#2265611yescharacteristic, complemented, Sylow
399C22×D4C22⋊D4311yescharacteristic
400C23×C4—21no—
401C23×C4—861no—
402C23×C4C22×D4311yescharacteristic
403C23×C4C22×D4311yescharacteristic
404C22×C8—431no—
405C22×C8—434no—
406C22×C8—434no—
407C22×C8—431no—
408C22×C8—431no—
409C22×C8—431no—
410C22×C8—862no—
411C22×C8—862no—
412C22×C8—862no—
413C22×C8—862no—
414C4×D4Dic8614yes—
415C4×D4C4×D4314yes—
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—862no—
428C2×C4⋊C4—861no—
429C2×C4⋊C4—1721no—
430C2×C4⋊C4C22⋊D4311yescharacteristic
431C2×C4⋊C4C22×D4311yescharacteristic
432C2×C4⋊C4C22×D4311yescharacteristic
433C2×C4⋊C4C22×D4311yescharacteristic
434C2×C4⋊C4C22×D4311yescharacteristic
435C2×C22⋊C4—21no—
436C2×C22⋊C4—21no—
437C2×C22⋊C4—21no—
438C2×C22⋊C4—861no—
439C2×C22⋊C4—861no—
440C2×C22⋊C4—861no—
441C2×C22⋊C4C22⋊D4311yescharacteristic
442C2×C22⋊C4C22⋊D4311yescharacteristic
443C2×C42—21no—
444C2×C42—21no—
445C2×C42—861no—
446C2×C42—861no—
447C2×C42C22×D4311yescharacteristic
448#107—434no—
449#107—862no—
450#107—862no—
451#107—862no—
452#107—862no—
453#107—862no—
454#106—862no—
455#106—862no—
456#106—1721no—
457#106—1721no—
458C4⋊C8—434no—
459C22⋊C8—434no—
460C22⋊C8—434no—
461C4×C8—434no—
462#95—21no—
463#95—21no—
464#95—21no—
465#95—21no—
466#95—21no—
467#95—861no—
468#95—861no—
469#95—861no—
470#95—861no—
471#95—861no—
472C24C2×C22⋊D4311yescharacteristic
473C24C2×C22⋊D4311yescharacteristic
474C2×D4—22no—
475C2×D4—22no—
476C2×D4Dic43⋊C414yes—
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—21no—
486C22×C4—21no—
487C22×C4—21no—
488C22×C4—21no—
489C22×C4—42no—
490C22×C4—42no—
491C22×C4—81no—
492C22×C4—861no—
493C22×C4—861no—
494C22×C4—861no—
495C22×C4—861no—
496C22×C4—3441no—
497C22×C4—1722no—
498C22×C4—1722no—
499C22×C4C2×Dic8612yes—
500C22×C4C2×Dic8612yes—
501C22×C4C2×C4×D4312yes—
502C22×C4C2×C4×D4312yes—
503C22×C4C2×C22⋊D4311yescharacteristic
504C22×C4C2×C22⋊D4311yescharacteristic
505C22×C4C2×C22⋊D4311yescharacteristic
506C22×C4C2×C22⋊D4311yescharacteristic
507C22×C4C23×D4311yescharacteristic
508C2×C8—432no—
509C2×C8—432no—
510C2×C8—432no—
511C2×C8—432no—
512C2×C8—432no—
513C2×C8—432no—
514C2×C8—868no—
515C2×C8—868no—
516C2×C8—861no—
517C2×C8—861no—
518C2×C8—861no—
519C2×C8—861no—
520C2×C8—861no—
521C2×C8—861no—
522C4⋊C4—21no—
523C4⋊C4—21no—
524C4⋊C4—21no—
525C4⋊C4—21no—
526C4⋊C4—21no—
527C4⋊C4—21no—
528C4⋊C4—21no—
529C4⋊C4—42no—
530C4⋊C4—432no—
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⋊C4Dic43⋊C414yes—
540C4⋊C4D4×D4312yes—
541C22⋊C4—42no—
542C22⋊C4—42no—
543C22⋊C4—81no—
544C22⋊C4—3441no—
545C22⋊C4—1722no—
546C22⋊C4—1722no—
547C22⋊C4Dic43⋊C414yes—
548C22⋊C4Dic43⋊C414yes—
549C42—42no—
550C42—81no—
551C42—3441no—
552C42—1722no—
553C42C2×Dic8612yes—
554C42C2×C4×D4312yes—
555C23—21no—
556C23—21no—
557C23—21no—
558C23—21no—
559C23—21no—
560C23—21no—
561C23—21no—
562C23—21no—
563C23—21no—
564C23—21no—
565C23C2×Dic43⋊C412yes—
566C23C2×Dic43⋊C412yes—
567C23#1306334512yes—
568C23#1306334512yes—
569C23C22×C22⋊D4311yescharacteristic
570D4—28no—
571C2×C4—21no—
572C2×C4—21no—
573C2×C4—21no—
574C2×C4—21no—
575C2×C4—21no—
576C2×C4—21no—
577C2×C4—21no—
578C2×C4—21no—
579C2×C4—22no—
580C2×C4—22no—
581C2×C4—22no—
582C2×C4—22no—
583C2×C4—22no—
584C2×C4—22no—
585C2×C4—22no—
586C2×C4—22no—
587C2×C4—22no—
588C2×C4—41no—
589C2×C4—41no—
590C2×C4—41no—
591C2×C4—41no—
592C2×C4—41no—
593C2×C4—41no—
594C2×C4—41no—
595C2×C4—41no—
596C2×C4—41no—
597C2×C4—41no—
598C2×C4—41no—
599C2×C4—84no—
600C2×C4—862no—
601C2×C4—3444no—
602C2×C4—1721no—
603C2×C4—1721no—
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×C4C2×Dic43⋊C412yes—
614C2×C4C2×Dic43⋊C412yes—
615C2×C4C2×Dic43⋊C412yes—
616C2×C4C2×Dic43⋊C412yes—
617C2×C4C22×C4×D4311yescharacteristic
618C2×C4C2×D4×D4311yescharacteristic
619C2×C4C22×Dic8611yescharacteristic
620C2×C4#41×D4311yescharacteristic
621C2×C4#1306337011yescharacteristic
622C2×C4#1306337211yescharacteristic
623C8—434no—
624C8—862no—
625C8—862no—
626C8—862no—
627C22—22no—
628C22—22no—
629C22—22no—
630C22—22no—
631C22—22no—
632C22—22no—
633C22—22no—
634C22—22no—
635C22—22no—
636C22—41no—
637C22—41no—
638C22—41no—
639C22—41no—
640C22#1458293514yescomplemented
641C22C22×Dic43⋊C411yescharacteristic
642C22D4×C22⋊D4311yescharacteristic
643C22#1458354811yescharacteristic
644C22C2×#1306334511yescharacteristic
645C22C2×#1306334511yescharacteristic
646C22#1458370211yescharacteristic
647C22#1458371411yescharacteristic
648C4—22no—
649C4—22no—
650C4—22no—
651C4—22no—
652C4—42no—
653C4—81no—
654C4—81no—
655C4—81no—
656C4—3441no—
657C4—3441no—
658C4—3441no—
659C4—1722no—
660C4C4×D4×D4311yescharacteristic
661C4#1458337811yescharacteristic
662C4D4×Dic8611yescharacteristic
663C4#1458360811yescharacteristic
664C2—24no—
665C2—42no—
666C2D4×Dic43⋊C411yescharacteristic
667C2C2×#1458293511yescharacteristic
668C2#1914319311yescharacteristic
669C2#1914627611yescharacteristic
670C2#1914633211yescharacteristic
671C2#1914695711yescharacteristic
672C2#1914699111yescharacteristic
subgroupG/H
centerC23C22×C22⋊D43
commutatorC2×C4×C43C23×C4
FrattiniC22×C4C23×D43
FittingC43×#2352C2
socleC23×C43C22×D4
prime radicalC22×D4×C43D4
cosocleC22×C4×C43C24
hypercenter#2352D43
hypocenterC43#22656
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C23 ◁ C2×C4×D4 ◁ #2352

Complements

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

NH ≅ G/Ntype
2. C2×#14582935C2semidirect
3. C22×#13063258C2semidirect
5. #19135363C2semidirect
6. #19135361C2semidirect
7. #19134794C2semidirect
8. #19134792C2semidirect
9. #19134788C2semidirect
10. #19134787C2semidirect
11. #19134757C2semidirect
12. #19134622C2semidirect
13. #19134622C2semidirect
14. C4×#13063258C2semidirect
20. D4×C43⋊C8C4semidirect
68. C22×C43⋊C8C2×C4semidirect
92. #13063258D4semidirect
97. C4⋊(C43⋊C8)C2×C4semidirect
99. C22⋊(C43⋊C8)C2×C4semidirect
100. C4×C43⋊C8C2×C4semidirect
304. C22×C43#427semidirect
398. C43#22656semidirect
640. C22#14582935semidirect

Maximal subgroups

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

subgroupindex
C2×D4×C43⋊C82
C2×#145829352
C22×#130632582
#191375242
#191353632
#191353612
#191347942
#191347922
#191347882
#191347872
#191347572
#191346222
C4×#130632582
C43×#23522
#2265643