Finite Group Databasebeta

← #25018110

Subgroups — #25018110

Order 11008.

2298 conjugacy classes of subgroups.

The subgroup lattice has 692 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#14582770C212yesmaximal
2C2×#14582750C211yesmaximal, characteristic, complemented
3C2×C4×(C2×D43)⋊C4C211yesmaximal, characteristic
4C2×#14582746C212yesmaximal
5C2×#95×D43C211yesmaximal, characteristic
6#19132827C212yesmaximal, complemented
7#19132826C212yesmaximal, complemented
8#19132819C211yesmaximal, characteristic, complemented
9(C2×D43)⋊#95C211yesmaximal, characteristic
10C4×C43⋊#95C211yesmaximal, characteristic, complemented
11C43×C4⋊#95C211yesmaximal, characteristic, complemented
12C23×C4×D43C2211yescharacteristic
13C23×C4×D43C2212yes—
14C22×Dic43⋊C4C2212yes—
15C22×(C2×D43)⋊C4C2212yes—
16C22×(C2×D43)⋊C4C2211yescharacteristic
17C22×(C2×D43)⋊C4C2211yescharacteristic
18C22×C4×Dic43C2212yes—
19C22×C4×Dic43C2212yes—
20C22×C4×Dic43C2211yescharacteristic
21#14582770C4116yescomplemented
22#14582750—24no—
23C4×(C2×D43)⋊C4C418yescomplemented
24#14582746—28no—
25C2×C43⋊#95C2211yescharacteristic
26C2×C43⋊#95C2212yes—
27C2×C43⋊#95C2212yes—
28C2×C43⋊#95C2212yes—
29C2×C43⋊#95C2212yes—
30C2×C43⋊#95C2212yes—
31C2×C43⋊#95C2211yescharacteristic
32C2×C43⋊#95C2211yescharacteristic
33C2×C43⋊#95C2211yescharacteristic
34#95×D43—24no—
35C22×C4⋊C4×C43C2212yes—
36C22×C42×C43C2211yescharacteristic
37C2×#95×C43C2211yescharacteristic
38C2×#95×C43C2211yescharacteristic
39C2×#95×C43C2212yes—
40C24×D43C2311yescharacteristic
41C23×Dic43C2312yes—
42C23×Dic43C2311yescharacteristic
43C23×Dic43C2311yescharacteristic
44C23×Dic43C2311yescharacteristic
45C23×Dic43C2312yes—
46C22×C4×D43—24no—
47C22×C4×D43—24no—
48C22×C4×D43—24no—
49C22×C4×D43—22no—
50C22×C4×D43—22no—
51C22×C4×D43—24no—
52C22×C4×D43—24no—
53C22×C4×D43—42no—
54C22×C4×D43—42no—
55C22×C4×D43—42no—
56C22×C4×D43C2×C414yes—
57C22×C4×D43C2×C418yes—
58C2×Dic43⋊C4—24no—
59C2×Dic43⋊C4—24no—
60C2×Dic43⋊C4C2×C418yescomplemented
61C2×(C2×D43)⋊C4—24no—
62C2×(C2×D43)⋊C4—24no—
63C2×(C2×D43)⋊C4C2×C418yes—
64C2×(C2×D43)⋊C4C2×C414yes—
65C2×(C2×D43)⋊C4C2×C418yes—
66C2×(C2×D43)⋊C4C2×C414yes—
67C2×(C2×D43)⋊C4D414yes—
68C2×(C2×D43)⋊C4Q814yes—
69C2×C4×Dic43—22no—
70C2×C4×Dic43—22no—
71C2×C4×Dic43—24no—
72C2×C4×Dic43—24no—
73C2×C4×Dic43—24no—
74C2×C4×Dic43—24no—
75C2×C4×Dic43—42no—
76C2×C4×Dic43—42no—
77C2×C4×Dic43C2×C414yescomplemented
78C43⋊#95—22no—
79C43⋊#95—24no—
80C43⋊#95—24no—
81C43⋊#95—42no—
82C43⋊#95C2×C414yescomplemented
83C43⋊#95C2×C414yescomplemented
84C43⋊#95C2×C418yescomplemented
85C43⋊#95C2×C418yescomplemented
86C43⋊#95D414yes—
87C23×C4×C43C2312yes—
88C23×C4×C43C2312yes—
89C23×C4×C43C2311yescharacteristic
90C23×C4×C43C2311yescharacteristic
91C23×C4×C43C2311yescharacteristic
92C2×C4⋊C4×C43—42no—
93C2×C4⋊C4×C43—42no—
94C2×C4⋊C4×C43C2×C418yescomplemented
95C2×C42×C43—42no—
96C2×C42×C43C2×C414yescomplemented
97#95×C43—22no—
98#95×C43—24no—
99#95×C43—22no—
100C24×C43C2411yescharacteristic
101C23×D43—21no—
102C23×D43—22no—
103C23×D43—21no—
104C23×D43—21no—
105C23×D43—22no—
106C23×D43—21no—
107C23×D43C22×C412yes—
108C23×D43C22×C414yes—
109C23×D43C2×D412yes—
110C23×D43C2×Q812yes—
111C23×D43#4114yes—
112C22×C4×C43—22no—
113C22×C4×C43—22no—
114C22×C4×C43—22no—
115C22×C4×C43—22no—
116C22×C4×C43—22no—
117C22×C4×C43—22no—
118C22×C4×C43—22no—
119C22×C4×C43—22no—
120C22×C4×C43—22no—
121C22×C4×C43—22no—
122C22×C4×C43—22no—
123C22×C4×C43—22no—
124C22×C4×C43—22no—
125C22×C4×C43—21no—
126C22×C4×C43—22no—
127C22×C4×C43—22no—
128C22×C4×C43—22no—
129C22×C4×C43—22no—
130C22×C4×C43—21no—
131C22×C4×C43C22×C414yes—
132C22×C4×C43C22×C414yes—
133C22×C4×C43C22×C412yes—
134C22×C4×C43C22×C414yes—
135C22×C4×C43C22×C412yes—
136C22×C4×C43C22×C412yes—
137C22×C4×C43C2×D412yes—
138C22×C4×C43C2×D412yes—
139C22×C4×C43C2×Q812yes—
140C22×C4×C43#4112yes—
141C22×Dic43—21no—
142C22×Dic43—22no—
143C22×Dic43—21no—
144C22×Dic43—21no—
145C22×Dic43—22no—
146C22×Dic43—21no—
147C22×Dic43—21no—
148C22×Dic43—22no—
149C22×Dic43—22no—
150C22×Dic43—22no—
151C22×Dic43—22no—
152C22×Dic43—22no—
153C22×Dic43—22no—
154C22×Dic43—21no—
155C22×Dic43—21no—
156C22×Dic43—22no—
157C22×Dic43—22no—
158C22×Dic43—22no—
159C22×Dic43—22no—
160C22×Dic43—21no—
161C22×Dic43—22no—
162C22×Dic43C22×C414yes—
163C22×Dic43C22×C412yes—
164C22×Dic43C22×C412yes—
165C22×Dic43C22×C414yes—
166C22×Dic43C22×C412yes—
167C22×Dic43C22×C414yes—
168C22×Dic43C2×D412yes—
169C22×Dic43C2×D414yes—
170C22×Dic43C2×Q812yes—
171C22×Dic43#4114yes—
172C2×C4×D43—28no—
173C2×C4×D43—216no—
174C2×C4×D43—28no—
175C2×C4×D43—216no—
176C2×C4×D43—48no—
177C2×C4×D43—44no—
178C2×C4×D43—48no—
179C2×C4×D43—48no—
180C2×C4×D43—48no—
181C2×C4×D43—48no—
182C2×C4×D43—48no—
183C2×C4×D43—48no—
184C4⋊C4×C43—48no—
185C42×C43—44no—
186(C2×D43)⋊C4—216no—
187(C2×D43)⋊C4C42116yescomplemented
188(C2×D43)⋊C4C4⋊C4116yescomplemented
189Dic43⋊C4—216no—
190C4×Dic43—28no—
191C4×Dic43—48no—
192C4×Dic43—48no—
193C23×C43C23×C411yescharacteristic
194C23×C43C23×C412yes—
195C23×C43C22×D411yescharacteristic
196C23×C43C22×D411yescharacteristic
197C23×C43C22×Q811yescharacteristic
198C23×C43C2×#4112yes—
199C23×C43C2×#4112yes—
200C23×C43C2×#4111yescharacteristic
201C23×C43H(5,𝔽2)11yescharacteristic
202C23×C43H(5,𝔽2)12yes—
203C23×C432−1+411yescharacteristic
204C22×D43—24no—
205C22×D43—22no—
206C22×D43—22no—
207C22×D43—24no—
208C22×D43—22no—
209C22×D43—24no—
210C22×D43—22no—
211C22×D43—24no—
212C22×D43—22no—
213C22×D43—24no—
214C22×D43—24no—
215C22×D43—22no—
216C22×D43—22no—
217C22×D43—24no—
218C22×D43—24no—
219C22×D43—24no—
220C22×D43—24no—
221C22×D43—22no—
222C22×D43C2×C4214yes—
223C22×D43C2×C4⋊C414yes—
224C22×D43#11714yes—
225C22×D43C4×D418yes—
226C22×D43C4×Q818yes—
227C2×C4×C43—22no—
228C2×C4×C43—22no—
229C2×C4×C43—22no—
230C2×C4×C43—22no—
231C2×C4×C43—22no—
232C2×C4×C43—24no—
233C2×C4×C43—22no—
234C2×C4×C43—24no—
235C2×C4×C43—24no—
236C2×C4×C43—24no—
237C2×C4×C43—24no—
238C2×C4×C43—24no—
239C2×C4×C43—24no—
240C2×C4×C43—24no—
241C2×C4×C43—24no—
242C2×C4×C43—24no—
243C2×C4×C43—24no—
244C2×C4×C43—24no—
245C2×C4×C43—42no—
246C2×C4×C43—42no—
247C2×C4×C43—42no—
248C2×C4×C43—42no—
249C2×C4×C43—42no—
250C2×C4×C43—42no—
251C2×C4×C43—42no—
252C2×C4×C43—42no—
253C2×C4×C43C2×C4214yes—
254C2×C4×C43C2×C4⋊C414yes—
255C2×C4×C43C4×D414yes—
256C2×Dic43—22no—
257C2×Dic43—22no—
258C2×Dic43—24no—
259C2×Dic43—24no—
260C2×Dic43—22no—
261C2×Dic43—24no—
262C2×Dic43—24no—
263C2×Dic43—22no—
264C2×Dic43—22no—
265C2×Dic43—24no—
266C2×Dic43—24no—
267C2×Dic43—24no—
268C2×Dic43—22no—
269C2×Dic43—22no—
270C2×Dic43—24no—
271C2×Dic43—22no—
272C2×Dic43—22no—
273C2×Dic43—24no—
274C2×Dic43—22no—
275C2×Dic43—24no—
276C2×Dic43—22no—
277C2×Dic43—24no—
278C2×Dic43—42no—
279C2×Dic43—42no—
280C2×Dic43—42no—
281C2×Dic43—42no—
282C2×Dic43—42no—
283C2×Dic43—42no—
284C2×Dic43C2×C4214yes—
285C2×Dic43C2×C4⋊C414yes—
286C2×Dic43C4×D418yes—
287C4×D43—432no—
288C4×D43—416no—
289#13814—431nomaximal, Sylow
290C22×C43C22×C4211yescharacteristic
291C22×C43C22×C4⋊C411yescharacteristic
292C22×C43C2×#11711yescharacteristic
293C22×C43C2×C4×D412yes—
294C22×C43C2×C4×D412yes—
295C22×C43C2×C4×D411yescharacteristic
296C22×C43C2×C4×Q812yes—
297C22×C43C4×#4111yescharacteristic
298C22×C43C4×#4112yes—
299C22×C43#51811yescharacteristic
300C22×C43#51812yes—
301C22×C43#52011yescharacteristic
302C22×C43#52012yes—
303C22×C43D4211yescharacteristic
304C22×C43#54612yes—
305C22×C43#54612yes—
306C22×C43#54711yescharacteristic
307C22×C43D4×Q811yescharacteristic
308C22×C43#55112yes—
309C22×C43#55112yes—
310C22×C43#55212yes—
311C22×C43#55412yes—
312C22×C43#55411yescharacteristic
313C2×D43—24no—
314C2×D43—24no—
315C2×D43—24no—
316C2×D43—24no—
317C2×D43—28no—
318C2×D43—28no—
319C2×D43—28no—
320C2×D43—28no—
321C2×D43—24no—
322C2×D43—24no—
323C2×D43C4×C4⋊C418yescomplemented
324C4×C43—24no—
325C4×C43—24no—
326C4×C43—24no—
327C4×C43—44no—
328C4×C43—44no—
329Dic43—24no—
330Dic43—28no—
331Dic43—24no—
332Dic43—42no—
333Dic43—44no—
334C2×#385—432no—
335C2×C4×C4⋊C4—431no—
336C2×C4×C22⋊C4—431no—
337C2×C4×C22⋊C4—432no—
338C22×#95—431no—
339#1436—432no—
340#1436—432no—
341C4⋊#95D4311yescharacteristic, complemented
342#1434—431no—
343C22⋊#95—431no—
344C4×#95—431no—
345C2×C43C2×C4×C4⋊C411yescharacteristic
346C2×C43C42×D411yescharacteristic
347C2×C43#227511yescharacteristic
348C2×C43#234211yescharacteristic
349C2×C43#234311yescharacteristic
350C2×C43D4×C4⋊C411yescharacteristic
351C2×C43#234911yescharacteristic
352C2×C43#235812yes—
353C2×C43#235912yes—
354C2×C43#236012yes—
355C2×C43#236812yes—
356D43—28no—
357C24×C4—431no—
358C24×C4—432no—
359C22×C4⋊C4—432no—
360C22×C4⋊C4C2×D4312yes—
361C22×C22⋊C4—431no—
362C22×C22⋊C4—431no—
363C22×C22⋊C4—432no—
364C22×C42—431no—
365C22×C42—432no—
366C22×C42—432no—
367C22×C42C2×D4311yescharacteristic
368#385—4316no—
369C4×C4⋊C4—864no—
370C4×C22⋊C4—438no—
371C4×C22⋊C4—868no—
372C2×#95—432no—
373C2×#95—431no—
374C2×#95—432no—
375C2×#95—431no—
376C2×#95—431no—
377C2×#95—431no—
378C2×#95—432no—
379C2×#95—432no—
380C2×#95—432no—
381C2×#95—864no—
382C2×#95C2×D4311yescharacteristic
383C2×#95C2×D4311yescharacteristic
384C2×#95C2×D4312yes—
385C43#1381411yescharacteristic, complemented, Sylow
386C25—431no—
387C23×C4—431no—
388C23×C4—431no—
389C23×C4—432no—
390C23×C4—432no—
391C23×C4—431no—
392C23×C4—434no—
393C23×C4—438no—
394C23×C4—864no—
395C23×C4—864no—
396C23×C4—864no—
397C23×C4—864no—
398C23×C4—864no—
399C23×C4—862no—
400C23×C4—862no—
401C23×C4—1722no—
402C23×C4—1722no—
403C23×C4—1722no—
404C23×C4C22×D4312yes—
405C23×C4C22×D4312yes—
406C23×C4C22×D4311yescharacteristic
407C23×C4C22×D4311yescharacteristic
408C23×C4C22×D4311yescharacteristic
409C2×C4⋊C4—42no—
410C2×C4⋊C4—42no—
411C2×C4⋊C4—438no—
412C2×C4⋊C4—864no—
413C2×C4⋊C4—864no—
414C2×C4⋊C4C4×D4318yescomplemented
415C2×C22⋊C4—434no—
416C2×C22⋊C4—434no—
417C2×C22⋊C4—438no—
418C2×C22⋊C4—434no—
419C2×C22⋊C4—434no—
420C2×C22⋊C4—438no—
421C2×C22⋊C4—864no—
422C2×C22⋊C4—864no—
423C2×C42—42no—
424C2×C42—434no—
425C2×C42—862no—
426C2×C42—862no—
427C2×C42—864no—
428C2×C42—864no—
429C2×C42—864no—
430C2×C42—864no—
431C2×C42—1722no—
432C2×C42—1722no—
433C2×C42C4×D4314yescomplemented
434#95—22no—
435#95—24no—
436#95—22no—
437#95—434no—
438#95—434no—
439#95—438no—
440#95—438no—
441#95—434no—
442#95—864no—
443#95—864no—
444#95—862no—
445#95—1722no—
446C24—432no—
447C24—434no—
448C24—432no—
449C24—432no—
450C24—434no—
451C24—861no—
452C24—862no—
453C24—861no—
454C24—862no—
455C24—861no—
456C24—861no—
457C24C23×D4311yescharacteristic
458C22×C4—22no—
459C22×C4—22no—
460C22×C4—22no—
461C22×C4—22no—
462C22×C4—22no—
463C22×C4—21no—
464C22×C4—21no—
465C22×C4—22no—
466C22×C4—22no—
467C22×C4—22no—
468C22×C4—22no—
469C22×C4—22no—
470C22×C4—22no—
471C22×C4—22no—
472C22×C4—22no—
473C22×C4—22no—
474C22×C4—22no—
475C22×C4—22no—
476C22×C4—22no—
477C22×C4—432no—
478C22×C4—432no—
479C22×C4—434no—
480C22×C4—434no—
481C22×C4—434no—
482C22×C4—432no—
483C22×C4—432no—
484C22×C4—434no—
485C22×C4—434no—
486C22×C4—432no—
487C22×C4—8616no—
488C22×C4—868no—
489C22×C4—8616no—
490C22×C4—861no—
491C22×C4—862no—
492C22×C4—861no—
493C22×C4—862no—
494C22×C4—862no—
495C22×C4—861no—
496C22×C4—861no—
497C22×C4—861no—
498C22×C4—862no—
499C22×C4—862no—
500C22×C4—861no—
501C22×C4—861no—
502C22×C4—862no—
503C22×C4—862no—
504C22×C4—862no—
505C22×C4—862no—
506C22×C4—862no—
507C22×C4—861no—
508C22×C4—862no—
509C22×C4—862no—
510C22×C4—862no—
511C22×C4—868no—
512C22×C4—1724no—
513C22×C4—1728no—
514C22×C4—1728no—
515C22×C4—1728no—
516C22×C4—1728no—
517C22×C4—1728no—
518C22×C4—1728no—
519C22×C4—1728no—
520C22×C4C2×C4×D4314yes—
521C22×C4C2×C4×D4314yes—
522C22×C4C2×C4×D4312yes—
523C22×C4C2×C4×D4314yes—
524C22×C4C2×C4×D4312yes—
525C22×C4C2×C4×D4312yes—
526C22×C4D4×D4312yes—
527C22×C4D4×D4312yes—
528C22×C4Q8×D4312yes—
529C22×C4#1062190212yes—
530C4⋊C4—48no—
531C4⋊C4—8616no—
532C22⋊C4—4316no—
533C22⋊C4—4316no—
534C22⋊C4—8616no—
535C42—44no—
536C42—868no—
537C42—1728no—
538C42—1728no—
539C23—434no—
540C23—434no—
541C23—434no—
542C23—438no—
543C23—438no—
544C23—862no—
545C23—862no—
546C23—864no—
547C23—864no—
548C23—864no—
549C23—864no—
550C23—862no—
551C23—864no—
552C23—862no—
553C23—862no—
554C23—864no—
555C23—864no—
556C23—862no—
557C23—864no—
558C23—862no—
559C23—862no—
560C23—864no—
561C23—864no—
562C23C22×C4×D4311yescharacteristic
563C23C22×C4×D4312yes—
564C23C2×D4×D4311yescharacteristic
565C23C2×D4×D4311yescharacteristic
566C23C2×Q8×D4311yescharacteristic
567C23#41×D4312yes—
568C23#41×D4312yes—
569C23C2×#1062190211yescharacteristic
570C23#1306337012yes—
571C23#1306337011yescharacteristic
572C23#1306337311yescharacteristic
573C2×C4—24no—
574C2×C4—24no—
575C2×C4—22no—
576C2×C4—22no—
577C2×C4—22no—
578C2×C4—22no—
579C2×C4—22no—
580C2×C4—24no—
581C2×C4—24no—
582C2×C4—22no—
583C2×C4—24no—
584C2×C4—24no—
585C2×C4—24no—
586C2×C4—24no—
587C2×C4—24no—
588C2×C4—24no—
589C2×C4—24no—
590C2×C4—24no—
591C2×C4—42no—
592C2×C4—42no—
593C2×C4—42no—
594C2×C4—42no—
595C2×C4—42no—
596C2×C4—42no—
597C2×C4—42no—
598C2×C4—42no—
599C2×C4—434no—
600C2×C4—434no—
601C2×C4—438no—
602C2×C4—862no—
603C2×C4—862no—
604C2×C4—864no—
605C2×C4—862no—
606C2×C4—864no—
607C2×C4—864no—
608C2×C4—862no—
609C2×C4—862no—
610C2×C4—862no—
611C2×C4—864no—
612C2×C4—864no—
613C2×C4—862no—
614C2×C4—862no—
615C2×C4—864no—
616C2×C4—864no—
617C2×C4—864no—
618C2×C4—862no—
619C2×C4—864no—
620C2×C4—862no—
621C2×C4—864no—
622C2×C4—862no—
623C2×C4—864no—
624C2×C4—17216no—
625C2×C4—17232no—
626C2×C4—1722no—
627C2×C4—1722no—
628C2×C4—1722no—
629C2×C4—1722no—
630C2×C4—1722no—
631C2×C4—1722no—
632C2×C4C42×D4314yes—
633C2×C4C4⋊C4×D4314yes—
634C2×C4#1306328714yes—
635C22—438no—
636C22—868no—
637C22—868no—
638C22—868no—
639C22—868no—
640C22—864no—
641C22—864no—
642C22—864no—
643C22—864no—
644C22—864no—
645C22—864no—
646C22C2×C42×D4311yescharacteristic
647C22C2×C4⋊C4×D4311yescharacteristic
648C22#117×D4311yescharacteristic
649C22C4×D4×D4312yes—
650C22C4×D4×D4312yes—
651C22C2×#1306328711yescharacteristic
652C22C4×Q8×D4312yes—
653C22#1458336711yescharacteristic
654C22C4×#1062190212yes—
655C22#1458337212yes—
656C22#1458337211yescharacteristic
657C22#1458338012yes—
658C22#1458338011yescharacteristic
659C22#1458353411yescharacteristic
660C22#1458353812yes—
661C22#1458353812yes—
662C22#1458355211yescharacteristic
663C22#1458356411yescharacteristic
664C22#1458357612yes—
665C22#1458357912yes—
666C22#1458358112yes—
667C22#1458360312yes—
668C22#1458361011yescharacteristic
669C4—24no—
670C4—24no—
671C4—24no—
672C4—44no—
673C4—44no—
674C4—868no—
675C4—864no—
676C4—864no—
677C4—1724no—
678C4—1722no—
679C2—868no—
680C2C4×C4⋊C4×D4311yescharacteristic
681C2C4×#1306328711yescharacteristic
682C2#1913695311yescharacteristic
683C2#1913744111yescharacteristic
684C2#1913744811yescharacteristic
685C2#1913749511yescharacteristic
686C2#1913749911yescharacteristic
687C2#1913757612yes—
688C2#1913758212yes—
689C2#1913759712yes—
690C2#1913767412yes—
subgroupG/H
center, FrattiniC24C23×D43
commutatorC22×C43C22×C42
FittingC43×C4⋊#95C2
socle, cosocleC24×C43C24
prime radicalC24×D43C23
hypercenterC4⋊#95D43
hypocenterC43#13814
LCSG ▷ C22×C43 ▷ C43
UCSC1 ◁ C24 ◁ C4⋊#95

Complements

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

NH ≅ G/Ntype
2. C2×#14582750C2semidirect
6. #19132827C2semidirect
7. #19132826C2semidirect
8. #19132819C2semidirect
10. C4×C43⋊#95C2semidirect
11. C43×C4⋊#95C2semidirect
21. #14582770C4semidirect
23. C4×(C2×D43)⋊C4C4semidirect
60. C2×Dic43⋊C4C2×C4semidirect
77. C2×C4×Dic43C2×C4semidirect
82. C43⋊#95C2×C4semidirect
83. C43⋊#95C2×C4semidirect
84. C43⋊#95C2×C4semidirect
85. C43⋊#95C2×C4semidirect
94. C2×C4⋊C4×C43C2×C4semidirect
96. C2×C42×C43C2×C4semidirect
187. (C2×D43)⋊C4C42semidirect
188. (C2×D43)⋊C4C4⋊C4semidirect
323. C2×D43C4×C4⋊C4semidirect
341. C4⋊#95D43semidirect
385. C43#13814semidirect
414. C2×C4⋊C4C4×D43semidirect
433. C2×C42C4×D43semidirect

Maximal subgroups

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

subgroupindex
C2×#145827702
C2×#145827502
C2×C4×(C2×D43)⋊C42
C2×#145827462
C2×#95×D432
#191328272
#191328262
#191328192
(C2×D43)⋊#952
C4×C43⋊#952
C43×C4⋊#952
#1381443