Finite Group Databasebeta

← #25257485

Subgroups — #25257485

Order 11008.

2618 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
1C22×#13063303C211yesmaximal, characteristic
2#19137679C214yesmaximal, complemented
3#19137623C214yesmaximal, complemented
4#19137465C212yesmaximal, complemented
5#19137447C212yesmaximal
6#19137445C212yesmaximal
7C22⋊C4×Dic86C212yesmaximal, complemented
8#19137346C214yesmaximal, complemented
9#19137198C211yesmaximal, characteristic, complemented
10#19137195C211yesmaximal, characteristic, complemented
11C4×#13063303C214yesmaximal, complemented
12#19136976C211yesmaximal, characteristic
13#19136950C211yesmaximal, characteristic, complemented
14C4×C22⋊C4×D43C211yesmaximal, characteristic
15C43×#2274C211yesmaximal, characteristic, complemented
16C23×Dic86C2211yescharacteristic
17C23×C4×D43C2211yescharacteristic
18C2×#13063303C4116yescomplemented
19C2×#13063303C2212yes—
20C2×#13063303C2212yes—
21C2×#13063303C2212yes—
22C2×#13063303C2212yes—
23C2×C4×Dic86C2214yescomplemented
24C2×#13063282C2212yes—
25C2×#13063281C2212yes—
26C22×Dic43⋊C4C2211yescharacteristic
27C22×Dic43⋊C4C2211yescharacteristic
28C22×(C2×D43)⋊C4C2211yescharacteristic
29C22×(C2×D43)⋊C4C2211yescharacteristic
30C2×C22⋊C4×D43C2212yes—
31C2×C42×D43C2212yes—
32#14582805C2214yescomplemented
33#14582803C2214yescomplemented
34#14582803C2214yescomplemented
35#14582794C2214yescomplemented
36#14582791C2214yes—
37#14582790C2214yes—
38#14582790C2214yes—
39#14582789C2214yes—
40#14582785C2214yescomplemented
41#14582785C2214yescomplemented
42#14582783C2214yescomplemented
43#14582783C2214yescomplemented
44#14582781C2214yescomplemented
45#14582780C2214yescomplemented
46#14582773C2214yes—
47#14582770C2214yes—
48#14582762C2212yes—
49#14582761C2212yes—
50#14582760C2212yes—
51#14582759C2212yes—
52#14582758C2212yes—
53#14582757C2212yes—
54#14582757C2212yes—
55#14582754C2212yes—
56C4×Dic43⋊C4C2214yescomplemented
57C4×Dic43⋊C4C2214yescomplemented
58#14582750C2214yescomplemented
59C22⋊C4×Dic43C2212yes—
60C22⋊C4×Dic43C2212yes—
61C4×(C2×D43)⋊C4C2212yes—
62C4×(C2×D43)⋊C4C2214yes—
63C4×(C2×D43)⋊C4C2214yes—
64C4×(C2×D43)⋊C4C2212yes—
65C4×C22⋊Dic43C2211yescharacteristic
66C4×C22⋊Dic43C2211yescharacteristic
67#14582746C2212yes—
68#95×D43C2212yes—
69C2×#117×C43C2212yes—
70C22×C4⋊C4×C43C2211yescharacteristic
71C4×C4⋊C4×C43C2214yescomplemented
72C4×C4⋊C4×C43C2214yescomplemented
73C4×C22⋊C4×C43C2212yes—
74C4×C22⋊C4×C43C2211yescharacteristic
75C4×C22⋊C4×C43C2211yescharacteristic
76C24×D43C2311yescharacteristic
77C22×Dic86—44no—
78C22×Dic86C2×C418yescomplemented
79C22×Dic86C2312yes—
80C22×Dic86C2312yes—
81C23×Dic43C2311yescharacteristic
82C23×Dic43C2311yescharacteristic
83C23×Dic43C2311yescharacteristic
84C22×C4×D43—44no—
85C22×C4×D43C2×C418yes—
86C22×C4×D43C2314yes—
87C22×C4×D43C2311yescharacteristic
88C22×C4×D43C2311yescharacteristic
89C22×C4×D43C2311yescharacteristic
90C22×C4×D43C2311yescharacteristic
91#13063303C2×C4116yes—
92#13063303C2×C4116yes—
93#13063303C2×C4116yescomplemented
94#13063303C2×C4116yescomplemented
95C4×Dic86—48no—
96#13063282—44no—
97#13063281—28no—
98C2×C4⋊Dic43C2314yes—
99C2×Dic43⋊C4C2×C418yescomplemented
100C2×Dic43⋊C4C2×C418yescomplemented
101C2×Dic43⋊C4C2314yes—
102C2×Dic43⋊C4C2314yes—
103C2×Dic43⋊C4C2314yes—
104C2×Dic43⋊C4C2312yes—
105C2×Dic43⋊C4C2312yes—
106C2×Dic43⋊C4C2312yes—
107C2×Dic43⋊C4C2312yes—
108C2×C22⋊Dic43C2312yes—
109C2×C22⋊Dic43C2312yes—
110C2×(C2×D43)⋊C4C2×C418yes—
111C2×(C2×D43)⋊C4C2×C418yes—
112C2×(C2×D43)⋊C4C2314yes—
113C2×(C2×D43)⋊C4C2314yes—
114C2×(C2×D43)⋊C4C2314yes—
115C2×(C2×D43)⋊C4C2312yes—
116C2×(C2×D43)⋊C4C2312yes—
117C2×(C2×D43)⋊C4C2312yes—
118C2×(C2×D43)⋊C4C2312yes—
119C22⋊C4×D43—28no—
120C2×C4×Dic43C2314yes—
121C2×C4×Dic43C2314yes—
122C2×C4×Dic43C2312yes—
123C2×C4×Dic43C2312yes—
124C2×C4×Dic43C2314yes—
125C42×D43—44no—
126C43⋊#95C2314yes—
127C43⋊#95C2314yes—
128C43⋊#95C2314yes—
129C43⋊#95C2312yes—
130C43⋊#95C2312yes—
131C43⋊#95C2314yes—
132C43⋊#95C2314yes—
133C43⋊#95C2314yes—
134C43⋊#95C2314yes—
135C43⋊#95C2314yes—
136C43⋊#95C2314yes—
137C23×C4×C43C2311yescharacteristic
138C23×C4×C43C2311yescharacteristic
139C23×C4×C43C2311yescharacteristic
140#117×C43—28no—
141C2×C4⋊C4×C43C2×C418yescomplemented
142C2×C4⋊C4×C43C2314yes—
143C2×C4⋊C4×C43C2312yes—
144C2×C4⋊C4×C43C2312yes—
145C2×C22⋊C4×C43C2312yes—
146C2×C22⋊C4×C43C2312yes—
147C2×C42×C43C2314yes—
148C2×C42×C43C2314yes—
149C2×C42×C43C2312yes—
150C2×C42×C43C2312yes—
151#95×C43C2314yes—
152#95×C43C2312yes—
153#95×C43C2312yes—
154C24×C43C2411yescharacteristic
155C23×D43—24no—
156C23×D43—24no—
157C23×D43—42no—
158C23×D43C22×C414yes—
159C23×D43C2411yescharacteristic
160C23×D43C2411yescharacteristic
161C22×C4×C43—24no—
162C22×C4×C43—42no—
163C22×C4×C43—42no—
164C22×C4×C43C22×C414yes—
165C22×C4×C43C22×C414yes—
166C22×C4×C43C22×C414yes—
167C22×C4×C43C2414yes—
168C22×C4×C43C2411yescharacteristic
169C22×C4×C43C2411yescharacteristic
170C22×C4×C43C2412yes—
171C22×C4×C43C2412yes—
172C22×C4×C43C2414yes—
173C22×Dic43—24no—
174C22×Dic43—24no—
175C22×Dic43—42no—
176C22×Dic43C22×C414yes—
177C22×Dic43C22×C414yes—
178C22×Dic43C22×C414yes—
179C22×Dic43C2414yes—
180C22×Dic43C2414yes—
181C22×Dic43C2411yescharacteristic
182C22×Dic43C2412yes—
183C22×Dic43C2412yes—
184C22×Dic43C2411yescharacteristic
185C2×C4×D43—24no—
186C2×C4×D43—24no—
187C2×C4×D43—28no—
188C2×C4×D43—28no—
189C2×C4×D43—44no—
190C2×C4×D43—42no—
191C2×C4×D43—42no—
192C2×C4×D43—416no—
193C2×C4×D43C22×C414yes—
194C2×C4×D43C22×C414yes—
195C2×C4×D43C22×C414yes—
196C2×C4×D43C22×C414yes—
197C2×Dic86—28no—
198C2×Dic86—416no—
199C2×Dic86—44no—
200C2×Dic86C22×C418yes—
201C2×Dic86C22×C418yes—
202C4⋊C4×C43—28no—
203C4⋊C4×C43C22×C418yes—
204C4⋊C4×C43C22×C418yes—
205C22⋊C4×C43—24no—
206C22⋊C4×C43#4118yes—
207C42×C43—28no—
208C42×C43—42no—
209C42×C43—42no—
210C42×C43—44no—
211C22⋊Dic43—24no—
212C22⋊Dic43—24no—
213(C2×D43)⋊C4—28no—
214(C2×D43)⋊C4—28no—
215(C2×D43)⋊C4—44no—
216(C2×D43)⋊C4C22×C418yes—
217(C2×D43)⋊C4C22×C418yes—
218(C2×D43)⋊C4C22×C418yes—
219(C2×D43)⋊C4C22×C418yes—
220C4⋊Dic43—44no—
221Dic43⋊C4—28no—
222Dic43⋊C4—28no—
223Dic43⋊C4—44no—
224Dic43⋊C4C22×C418yes—
225Dic43⋊C4C22×C418yes—
226Dic43⋊C4C22×C418yes—
227Dic43⋊C4C22×C418yes—
228C4×Dic43—28no—
229C4×Dic43—28no—
230C4×Dic43—42no—
231C4×Dic43—42no—
232C4×Dic43—44no—
233C23×C43—22no—
234C23×C43—22no—
235C23×C43C23×C412yes—
236C23×C43C2×#4114yes—
237C23×C43C2511yescharacteristic
238C22×D43—22no—
239C22×D43—22no—
240C22×D43—28no—
241C22×D43—22no—
242C22×D43—22no—
243C22×D43—22no—
244C22×D43—28no—
245C22×D43—44no—
246C22×D43—416no—
247C22×D43C23×C412yes—
248C22×D43C23×C412yes—
249C22×D432−1+414yes—
250C2×C4×C43—28no—
251C2×C4×C43—22no—
252C2×C4×C43—22no—
253C2×C4×C43—24no—
254C2×C4×C43—22no—
255C2×C4×C43—22no—
256C2×C4×C43—24no—
257C2×C4×C43—24no—
258C2×C4×C43—24no—
259C2×C4×C43—24no—
260C2×C4×C43—24no—
261C2×C4×C43—44no—
262C2×C4×C43—44no—
263C2×C4×C43C23×C414yes—
264C2×C4×C43C23×C412yes—
265C2×C4×C43C23×C412yes—
266C2×C4×C43C23×C414yes—
267C2×C4×C43C2×#4118yes—
268C2×Dic43—28no—
269C2×Dic43—22no—
270C2×Dic43—22no—
271C2×Dic43—24no—
272C2×Dic43—22no—
273C2×Dic43—28no—
274C2×Dic43—24no—
275C2×Dic43—24no—
276C2×Dic43—24no—
277C2×Dic43—24no—
278C2×Dic43—24no—
279C2×Dic43—24no—
280C2×Dic43—44no—
281C2×Dic43C23×C414yes—
282C2×Dic43C23×C414yes—
283C2×Dic43C23×C412yes—
284C2×Dic43C23×C412yes—
285C2×Dic43H(5,𝔽2)14yes—
286C4×D43—28no—
287C4×D43—28no—
288C4×D43—44no—
289C4×D43—44no—
290C4×D43—416no—
291Dic86—216no—
292Dic86—48no—
293#34245—431nomaximal, Sylow
294C22×C43—22no—
295C22×C43—22no—
296C22×C43—28no—
297C22×C43C4×#4114yes—
298C22×C43C24×C411yescharacteristic
299C22×C43C22×#4112yes—
300C22×C43C2×H(5,𝔽2)12yes—
301C22×C43C2×2−1+412yes—
302C2×D43—22no—
303C2×D43—22no—
304C2×D43—28no—
305C2×D43—22no—
306C2×D43—22no—
307C2×D43—22no—
308C2×D43—416no—
309C2×D43—44no—
310C2×D43#51914yes—
311C4×C43—24no—
312C4×C43—24no—
313C4×C43—22no—
314C4×C43—22no—
315C4×C43—28no—
316C4×C43—44no—
317Dic43—24no—
318Dic43—24no—
319Dic43—22no—
320Dic43—44no—
321Dic43—44no—
322Dic43#51814yes—
323C22×C22⋊Q8—431no—
324#2368—434no—
325#2362—434no—
326#2344—432no—
327#2342—432no—
328#2342—432no—
329Q8×C22⋊C4—432no—
330#2332—434no—
331#2313—431no—
332#2313—431no—
333C4×C22⋊Q8—434no—
334#2280—431no—
335#2274—431no—
336#2274D4311yescharacteristic, complemented
337C2×C4×C22⋊C4—431no—
338C2×C43—24no—
339C2×C43C2×C4×#4111yescharacteristic
340C2×C43C2×#51811yescharacteristic
341C2×C43C2×#51911yescharacteristic
342C2×C43#352014yes—
343D43—24no—
344D43—42no—
345C23×Q8—431no—
346C24×C4—431no—
347C2×C22⋊Q8—432no—
348C2×C22⋊Q8—432no—
349C2×C22⋊Q8—432no—
350C2×C22⋊Q8—432no—
351C2×C22⋊Q8—4316no—
352C2×C4×Q8—434no—
353C2×#117—432no—
354C2×#117—432no—
355C2×#117C2×D4312yes—
356C22×C4⋊C4—431no—
357C22×C4⋊C4—431no—
358C22×C4⋊C4C2×D4311yescharacteristic
359C22×C22⋊C4—431no—
360C22×C22⋊C4—431no—
361C22×C22⋊C4—432no—
362C22×C42—432no—
363#391—434no—
364#391—434no—
365#391—434no—
366#389—434no—
367#388—434no—
368#388—434no—
369#388—434no—
370#388—434no—
371#387—434no—
372#387—434no—
373#387—434no—
374#387—434no—
375#387—434no—
376#387—434no—
377#385—434no—
378#385—434no—
379#381—432no—
380#381—432no—
381#381—432no—
382#380—432no—
383#380—432no—
384#380—432no—
385#380—432no—
386#379—432no—
387C4×C4⋊C4—434no—
388C4×C4⋊C4—434no—
389C4×C4⋊C4—434no—
390C4×C4⋊C4C2×D4314yescomplemented
391C4×C4⋊C4C2×D4314yescomplemented
392C4×C22⋊C4—431no—
393C4×C22⋊C4—431no—
394C4×C22⋊C4—432no—
395C4×C22⋊C4—432no—
396C4×C22⋊C4—432no—
397C4×C22⋊C4—434no—
398C4×C22⋊C4—434no—
399C4×C22⋊C4—432no—
400C4×C22⋊C4—432no—
401C4×C22⋊C4C2×D4311yescharacteristic
402C4×C22⋊C4C2×D4312yes—
403C4×C22⋊C4C2×D4311yescharacteristic
404C2×#95—432no—
405C43#3424511yescharacteristic, complemented, Sylow
406C25—431no—
407C22×Q8—438no—
408C22×Q8—432no—
409C22×Q8—432no—
410C22×Q8—1724no—
411C23×C4—431no—
412C23×C4—431no—
413C23×C4—431no—
414C23×C4—431no—
415C23×C4—431no—
416C23×C4—438no—
417C23×C4—431no—
418C23×C4—431no—
419C23×C4—434no—
420C23×C4—1724no—
421C23×C4C22×D4311yescharacteristic
422C23×C4C22×D4311yescharacteristic
423C23×C4C22×D4311yescharacteristic
424C22⋊Q8—4316no—
425C22⋊Q8—4316no—
426C22⋊Q8—4316no—
427C22⋊Q8—4316no—
428C4×Q8—1728no—
429#117—28no—
430#117—868no—
431#117—1724no—
432C2×C4⋊C4—438no—
433C2×C4⋊C4—438no—
434C2×C4⋊C4—432no—
435C2×C4⋊C4—432no—
436C2×C4⋊C4—432no—
437C2×C4⋊C4—432no—
438C2×C4⋊C4—434no—
439C2×C4⋊C4—434no—
440C2×C4⋊C4—434no—
441C2×C4⋊C4—434no—
442C2×C4⋊C4C4×D4318yescomplemented
443C2×C4⋊C4C22×D4314yes—
444C2×C4⋊C4C22×D4312yes—
445C2×C4⋊C4C22×D4312yes—
446C2×C22⋊C4—438no—
447C2×C22⋊C4—438no—
448C2×C22⋊C4—432no—
449C2×C22⋊C4—432no—
450C2×C22⋊C4—432no—
451C2×C22⋊C4—432no—
452C2×C22⋊C4—432no—
453C2×C22⋊C4—432no—
454C2×C22⋊C4—434no—
455C2×C22⋊C4—434no—
456C2×C22⋊C4—434no—
457C2×C22⋊C4—868no—
458C2×C22⋊C4C22×D4312yes—
459C2×C22⋊C4C22×D4312yes—
460C2×C42—434no—
461C2×C42—434no—
462C2×C42—432no—
463C2×C42—434no—
464C2×C42—432no—
465C2×C42—1724no—
466C2×C42C22×D4314yes—
467C2×C42C22×D4312yes—
468C2×C42C22×D4314yes—
469C2×C42C22×D4312yes—
470#95—432no—
471#95—434no—
472#95—432no—
473#95—434no—
474#95—434no—
475#95—434no—
476#95—434no—
477#95—434no—
478#95—434no—
479#95—434no—
480#95—434no—
481#95C22×D4312yes—
482#95C22×D4312yes—
483#95C22×D4314yes—
484C24—431no—
485C24—431no—
486C24—434no—
487C24—864no—
488C24—864no—
489C24—1722no—
490C24C23×D4311yescharacteristic
491C2×Q8—438no—
492C2×Q8—438no—
493C2×Q8—868no—
494C2×Q8—1724no—
495C2×Q8—17216no—
496C22×C4—24no—
497C22×C4—42no—
498C22×C4—42no—
499C22×C4—431no—
500C22×C4—434no—
501C22×C4—434no—
502C22×C4—431no—
503C22×C4—432no—
504C22×C4—432no—
505C22×C4—434no—
506C22×C4—434no—
507C22×C4—434no—
508C22×C4—434no—
509C22×C4—434no—
510C22×C4—434no—
511C22×C4—434no—
512C22×C4—864no—
513C22×C4—864no—
514C22×C4—868no—
515C22×C4—864no—
516C22×C4—864no—
517C22×C4—868no—
518C22×C4—1724no—
519C22×C4—1722no—
520C22×C4—1722no—
521C22×C4—17216no—
522C22×C4—1722no—
523C22×C4C2×C4×D4314yes—
524C22×C4C2×C4×D4314yes—
525C22×C4C2×C4×D4314yes—
526C22×C4C23×D4314yes—
527C22×C4C23×D4312yes—
528C22×C4C23×D4311yescharacteristic
529C22×C4C23×D4311yescharacteristic
530C22×C4C23×D4312yes—
531C22×C4C23×D4314yes—
532C4⋊C4—28no—
533C4⋊C4—438no—
534C4⋊C4—438no—
535C4⋊C4—438no—
536C4⋊C4—438no—
537C4⋊C4—868no—
538C4⋊C4—868no—
539C4⋊C4—1724no—
540C4⋊C4—1724no—
541C4⋊C4C2×C4×D4318yes—
542C4⋊C4C2×C4×D4318yes—
543C22⋊C4—24no—
544C22⋊C4—438no—
545C22⋊C4—438no—
546C22⋊C4—438no—
547C22⋊C4—438no—
548C22⋊C4—868no—
549C22⋊C4—864no—
550C22⋊C4—864no—
551C22⋊C4—868no—
552C22⋊C4—1724no—
553C22⋊C4#1062189818yes—
554C42—28no—
555C42—42no—
556C42—42no—
557C42—44no—
558C42—868no—
559C42—868no—
560C42—1722no—
561C42—1722no—
562C42—1724no—
563C23—22no—
564C23—22no—
565C23—432no—
566C23—434no—
567C23—432no—
568C23—868no—
569C23—862no—
570C23—862no—
571C23—868no—
572C23—862no—
573C23—862no—
574C23—862no—
575C23—1724no—
576C23—17216no—
577C23C22×C4×D4312yes—
578C23C2×#1062189814yes—
579C23C24×D4311yescharacteristic
580Q8—8616no—
581Q8—1728no—
582C2×C4—28no—
583C2×C4—22no—
584C2×C4—22no—
585C2×C4—24no—
586C2×C4—22no—
587C2×C4—22no—
588C2×C4—24no—
589C2×C4—24no—
590C2×C4—24no—
591C2×C4—24no—
592C2×C4—24no—
593C2×C4—44no—
594C2×C4—44no—
595C2×C4—432no—
596C2×C4—434no—
597C2×C4—434no—
598C2×C4—434no—
599C2×C4—432no—
600C2×C4—868no—
601C2×C4—868no—
602C2×C4—868no—
603C2×C4—868no—
604C2×C4—862no—
605C2×C4—862no—
606C2×C4—864no—
607C2×C4—862no—
608C2×C4—864no—
609C2×C4—864no—
610C2×C4—864no—
611C2×C4—864no—
612C2×C4—864no—
613C2×C4—864no—
614C2×C4—1724no—
615C2×C4—1724no—
616C2×C4—17216no—
617C2×C4—1724no—
618C2×C4C22×C4×D4314yes—
619C2×C4C22×C4×D4314yes—
620C2×C4C22×C4×D4312yes—
621C2×C4C22×C4×D4312yes—
622C2×C4C2×#1062189818yes—
623C22—22no—
624C22—22no—
625C22—28no—
626C22—434no—
627C22—862no—
628C22—868no—
629C22—862no—
630C22—862no—
631C22—862no—
632C22—862no—
633C22—17216no—
634C22—1724no—
635C22C4×#1062189814yes—
636C22C23×C4×D4311yescharacteristic
637C22C22×#1062189812yes—
638C22H(5,𝔽2)×D4312yes—
639C222−1+4×D4312yes—
640C4—22no—
641C4—22no—
642C4—24no—
643C4—28no—
644C4—24no—
645C4—44no—
646C4—434no—
647C4—862no—
648C4—864no—
649C4—864no—
650C4—1724no—
651C4—1724no—
652C2—24no—
653C2—864no—
654C2—1722no—
655C2C2×C4×#1062189811yescharacteristic
656C2#518×D4311yescharacteristic
657C2#519×D4311yescharacteristic
658C2#1914863414yes—
subgroupG/H
center, FrattiniC23C24×D43
commutatorC22×C43C24×C4
FittingC43×#2274C2
socle, cosocleC23×C43C25
prime radicalC24×D43C23
hypercenter#2274D43
hypocenterC43#34245
LCSG ▷ C22×C43 ▷ C43
UCSC1 ◁ C23 ◁ #2274

Complements

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

NH ≅ G/Ntype
2. #19137679C2semidirect
3. #19137623C2semidirect
4. #19137465C2semidirect
7. C22⋊C4×Dic86C2semidirect
8. #19137346C2semidirect
9. #19137198C2semidirect
10. #19137195C2semidirect
11. C4×#13063303C2semidirect
13. #19136950C2semidirect
15. C43×#2274C2semidirect
18. C2×#13063303C4semidirect
23. C2×C4×Dic86C22semidirect
32. #14582805C22semidirect
33. #14582803C22semidirect
34. #14582803C22semidirect
35. #14582794C22semidirect
40. #14582785C22semidirect
41. #14582785C22semidirect
42. #14582783C22semidirect
43. #14582783C22semidirect
44. #14582781C22semidirect
45. #14582780C22semidirect
56. C4×Dic43⋊C4C22semidirect
57. C4×Dic43⋊C4C22semidirect
58. #14582750C22semidirect
71. C4×C4⋊C4×C43C22semidirect
72. C4×C4⋊C4×C43C22semidirect
78. C22×Dic86C2×C4semidirect
93. #13063303C2×C4semidirect
94. #13063303C2×C4semidirect
99. C2×Dic43⋊C4C2×C4semidirect
100. C2×Dic43⋊C4C2×C4semidirect
141. C2×C4⋊C4×C43C2×C4semidirect
336. #2274D43semidirect
390. C4×C4⋊C4C2×D43semidirect
391. C4×C4⋊C4C2×D43semidirect
405. C43#34245semidirect
442. C2×C4⋊C4C4×D43semidirect

Maximal subgroups

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

subgroupindex
C22×#130633032
#191376792
#191376232
#191374652
#191374472
#191374452
C22⋊C4×Dic862
#191373462
#191371982
#191371952
C4×#130633032
#191369762
#191369502
C4×C22⋊C4×D432
C43×#22742
#3424543