Finite Group Databasebeta

← #32157736

Subgroups — #32157736

Order 18176.

3534 conjugacy classes of subgroups.

The subgroup lattice has 642 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#17986511C211yesmaximal, characteristic
2C2×#17986480C211yesmaximal, characteristic, complemented
3C22×C4⋊C4×D71C211yesmaximal, characteristic, complemented
4#22591358C214yesmaximal, complemented
5#22591347C214yesmaximal, complemented
6#22591272C214yesmaximal, complemented
7C4⋊C4×D284C214yesmaximal, complemented
8#22591011C214yesmaximal, complemented
9#22590963C211yesmaximal, characteristic, complemented
10#22590928C211yesmaximal, characteristic, complemented
11C4×#14556098C214yesmaximal, complemented
12#22590719C211yesmaximal, characteristic, complemented
13C71×#2274C211yesmaximal, characteristic, complemented
14C22×#11765865C2211yescharacteristic
15C23×C4×D71C2211yescharacteristic
16C23×C4×D71C2212yes—
17#17986511C4116yescomplemented
18C2×#14556112C2212yes—
19C2×#14556108C2212yes—
20C2×#14556103C2212yes—
21C2×#14556098C2212yes—
22#17986480—28no—
23C2×#14556093C2212yescomplemented
24C2×C4×D284C2218yes—
25C2×C4×D284C2214yes—
26C2×#14556090C2212yescomplemented
27C2×C4×C22⋊D71C2214yes—
28C2×#14556087C2211yescharacteristic
29C2×#14556086C2212yescomplemented
30C22×C4⋊Dic71C2211yescharacteristic
31C22×Dic71⋊C4C2212yes—
32C2×C4⋊C4×D71—28no—
33C2×C4⋊C4×D71C2214yes—
34C2×C4⋊C4×D71C2214yes—
35C2×C4⋊C4×D71C2212yescomplemented
36#17985905C2212yescomplemented
37#17985901C2212yescomplemented
38#17985898C2214yescomplemented
39#17985897C2218yescomplemented
40#17985890C2218yescomplemented
41#17985884C2218yescomplemented
42#17985877C2218yes—
43#17985876C2214yes—
44#17985874C2214yes—
45#17985873C2218yes—
46#17985873C2218yescomplemented
47#17985869C2212yescomplemented
48#17985865C2212yescomplemented
49#17985860C2212yes—
50#17985856C2212yes—
51#17985856C2212yes—
52#17985856C2214yescomplemented
53#17985854C2212yes—
54C4×(C2×D71)⋊C4C2218yes—
55C4×(C2×D71)⋊C4C2214yes—
56C2×#117×C71C2211yescharacteristic
57C2×#117×C71C2211yescharacteristic
58C22×C4⋊C4×C71C2211yescharacteristic
59C4×C4⋊C4×C71C2214yescomplemented
60C4×C4⋊C4×C71C2214yescomplemented
61C4×C22⋊C4×C71C2214yes—
62C24×D71C2311yescharacteristic
63C2×#11765865—24no—
64C2×#11765865—24no—
65C2×#11765865C2×C418yescomplemented
66C22×Dic142C2311yescharacteristic
67C22×D284C2314yes—
68C22×D284C2311yescharacteristic
69C22×C22⋊D71C2312yes—
70C23×Dic71C2311yescharacteristic
71C23×Dic71C2312yes—
72C22×C4×D71—24no—
73C22×C4×D71—28no—
74C22×C4×D71—24no—
75C22×C4×D71—48no—
76C22×C4×D71C2×C418yescomplemented
77C22×C4×D71C2318yes—
78C22×C4×D71C2312yes—
79C22×C4×D71C2312yes—
80C22×C4×D71C2312yes—
81C22×C4×D71C2314yes—
82#14556112C2×C4116yescomplemented
83#14556108C2×C4116yescomplemented
84#14556103C2×C4116yescomplemented
85#14556098C2×C4116yescomplemented
86#14556093—28no—
87C4×D284—416no—
88C4×D284C2×C4132yescomplemented
89#14556090—28no—
90C4×C22⋊D71—216no—
91#14556087—24no—
92#14556086—28no—
93C2×C4⋊Dic71—24no—
94C2×C4⋊Dic71C2311yescharacteristic
95C2×C4⋊Dic71C2311yescharacteristic
96C2×C4⋊Dic71C2312yes—
97C2×C4⋊Dic71C2312yes—
98C2×C4⋊Dic71C2318yes—
99C2×C4⋊Dic71C2314yes—
100C2×Dic71⋊C4—28no—
101C2×Dic71⋊C4C2314yes—
102C2×Dic71⋊C4C2318yes—
103C4⋊C4×D71—216no—
104C4⋊C4×D71—216no—
105C4⋊C4×D71—28no—
106C2×C22⋊Dic71C2312yes—
107C2×(C2×D71)⋊C4C2314yes—
108C2×(C2×D71)⋊C4C2314yes—
109C2×(C2×D71)⋊C4C2314yes—
110C2×(C2×D71)⋊C4C2318yes—
111C2×(C2×D71)⋊C4C2314yes—
112C2×(C2×D71)⋊C4C2314yes—
113C2×C4×Dic71C2314yes—
114C2×C4×Dic71C2312yes—
115C71⋊#95C2314yes—
116C71⋊#95C2314yes—
117C71⋊#95C2318yes—
118C71⋊#95C2318yes—
119C23×C4×C71C2312yes—
120C23×C4×C71C2311yescharacteristic
121#117×C71—24no—
122#117×C71C2×C418yescomplemented
123C2×C4⋊C4×C71D418yescomplemented
124C2×C4⋊C4×C71C2312yes—
125C2×C4⋊C4×C71C2312yes—
126C2×C4⋊C4×C71C2312yes—
127C2×C4⋊C4×C71C2312yes—
128C2×C22⋊C4×C71C2312yes—
129C2×C22⋊C4×C71C2312yes—
130C2×C42×C71C2312yes—
131C2×C42×C71C2318yes—
132C2×C42×C71C2312yes—
133#95×C71C2318yes—
134C23×D71—22no—
135C23×D71—22no—
136C23×D71—24no—
137C23×D71—24no—
138C23×D71C22×C414yes—
139C23×D71C2412yes—
140C23×D71C2412yes—
141#11765865—232no—
142C2×Dic142—22no—
143C2×Dic142—22no—
144C2×Dic142C22×C414yescomplemented
145C2×D284—28no—
146C2×D284—28no—
147C2×D284—22no—
148C2×D284—22no—
149C2×D284C22×C4116yes—
150C2×D284C22×C414yescomplemented
151C2×C22⋊D71—24no—
152C2×C22⋊D71—24no—
153C2×C22⋊D71C22×C418yes—
154C22×Dic71—22no—
155C22×Dic71—22no—
156C22×Dic71—24no—
157C22×Dic71—44no—
158C22×Dic71C22×C414yes—
159C22×Dic71C2414yes—
160C22×Dic71C2412yes—
161C22×Dic71C2412yes—
162C22×Dic71C2412yes—
163C22×Dic71C2412yes—
164C2×C4×D71—232no—
165C2×C4×D71—24no—
166C2×C4×D71—24no—
167C2×C4×D71—24no—
168C2×C4×D71—24no—
169C2×C4×D71—24no—
170C2×C4×D71—24no—
171C2×C4×D71—216no—
172C2×C4×D71—216no—
173C2×C4×D71—28no—
174C2×C4×D71—48no—
175C2×C4×D71—432no—
176C2×C4×D71—48no—
177C2×C4×D71C22×C418yes—
178C2×C4×D71C22×C418yes—
179C2×C4×D71C22×C418yescomplemented
180C4⋊Dic71—24no—
181C4⋊Dic71—24no—
182C4⋊Dic71—22no—
183C4⋊Dic71—22no—
184C4⋊Dic71—48no—
185C4⋊Dic71C22×C4116yescomplemented
186Dic71⋊C4—216no—
187Dic71⋊C4—28no—
188C22⋊Dic71—24no—
189(C2×D71)⋊C4—28no—
190(C2×D71)⋊C4—28no—
191(C2×D71)⋊C4—28no—
192(C2×D71)⋊C4—48no—
193(C2×D71)⋊C4C22×C4116yes—
194(C2×D71)⋊C4C22×C4116yescomplemented
195C4×Dic71—28no—
196C4×Dic71—24no—
197C24×C71C2411yescharacteristic
198C22×C4×C71—44no—
199C22×C4×C71C22×C414yes—
200C22×C4×C71C2×D418yes—
201C22×C4×C71C2×D414yes—
202C22×C4×C71#4114yes—
203C22×C4×C71C2414yes—
204C22×C4×C71C2414yes—
205C22×C4×C71C2414yes—
206C22×C4×C71C2411yescharacteristic
207C22×C4×C71C2411yescharacteristic
208C4⋊C4×C71—24no—
209C4⋊C4×C71C22×C418yescomplemented
210C4⋊C4×C71C2×D418yes—
211C4⋊C4×C71C2×D418yes—
212C22⋊C4×C71—24no—
213C22⋊C4×C71C22×C418yes—
214C42×C71—24no—
215C42×C71—48no—
216C42×C71C22×C418yescomplemented
217C23×C71—22no—
218C23×C71—22no—
219C23×C71C23×C412yes—
220C23×C71C22×D412yes—
221C23×C71C2×#4112yes—
222C23×C71C2511yescharacteristic
223C22×D71—28no—
224C22×D71—28no—
225C22×D71—216no—
226C22×D71—28no—
227C22×D71—22no—
228C22×D71—22no—
229C22×D71—22no—
230C22×D71—22no—
231C22×D71—216no—
232C22×D71—22no—
233C22×D71—22no—
234C22×D71—24no—
235C22×D71—24no—
236C22×D71C23×C414yes—
237C22×D71C23×C414yes—
238C22×D71H(5,𝔽2)14yes—
239C22×D712−1+414yes—
240C2×C4×C71—24no—
241C2×C4×C71—28no—
242C2×C4×C71—24no—
243C2×C4×C71—24no—
244C2×C4×C71—24no—
245C2×C4×C71—24no—
246C2×C4×C71—48no—
247C2×C4×C71C4×D4116yescomplemented
248C2×C4×C71C23×C418yes—
249C2×C4×C71C23×C412yes—
250C2×C4×C71C23×C412yes—
251C2×C4×C71C22×D418yes—
252C2×C4×C71C22×D412yes—
253C2×C4×C71C22×D412yes—
254C2×C4×C71C2×#4112yes—
255C2×C4×C71C2×#4112yes—
256C22⋊D71—216no—
257C2×Dic71—28no—
258C2×Dic71—22no—
259C2×Dic71—22no—
260C2×Dic71—22no—
261C2×Dic71—22no—
262C2×Dic71—22no—
263C2×Dic71—22no—
264C2×Dic71—24no—
265C2×Dic71—24no—
266C2×Dic71—28no—
267C2×Dic71—24no—
268C2×Dic71—48no—
269C2×Dic71C23×C414yes—
270C2×Dic71C23×C414yes—
271D284—232no—
272D284—28no—
273C4×D71—216no—
274C4×D71—216no—
275C4×D71—216no—
276C4×D71—432no—
277C4×D71—88no—
278Dic142—28no—
279C22×C71—24no—
280C22×C71—22no—
281C22×C71—22no—
282C22×C71—24no—
283C22×C71C2×C4×D414yes—
284C22×C71C24×C411yescharacteristic
285C22×C71C23×D411yescharacteristic
286C22×C71C22×#4111yescharacteristic
287C22×C71C2×H(5,𝔽2)12yes—
288C22×C71C2×2−1+412yes—
289C2×D71—232no—
290C2×D71—24no—
291C2×D71—24no—
292C2×D71—24no—
293C2×D71—24no—
294C2×D71—24no—
295C2×D71—24no—
296C2×D71—24no—
297C2×D71—28no—
298C2×D71—42no—
299C2×D71—42no—
300C2×D71—44no—
301C2×D71#52018yescomplemented
302C4×C71—28no—
303C4×C71—28no—
304C4×C71—44no—
305C4×C71C2×C4×D414yes—
306C4×C71C2×C4×D414yes—
307Dic71—24no—
308Dic71—24no—
309Dic71—44no—
310Dic71—42no—
311Dic71—42no—
312#34200—711nomaximal, Sylow
313C2×C71—24no—
314C2×C71C22×C4×D411yescharacteristic
315C2×C71C2×#52012yes—
316C2×C71#348411yescharacteristic
317C2×C71#348611yescharacteristic
318C2×C71#349212yes—
319D71—28no—
320D71—44no—
321C2×#525—711no—
322C2×#520—711no—
323C23×C4⋊C4—711no—
324#2361—714no—
325#2360—714no—
326#2352—714no—
327D4×C4⋊C4—714no—
328#2322—714no—
329#2317—711no—
330#2311—711no—
331C4×#120—714no—
332#2280—711no—
333#2274D7111yescharacteristic, complemented
334C71#3420011yescharacteristic, complemented, Sylow
335C22×#41—711no—
336C24×C4—712no—
337C24×C4—711no—
338#525—7116no—
339C2×#123—712no—
340C2×C22⋊Q8—712no—
341C2×#121—712no—
342C2×#120—712no—
343#520—1428no—
344C2×C4×Q8—712no—
345C2×C4×D4—714no—
346C2×C4×D4—712no—
347C2×C4×D4—718no—
348C2×C4×D4—714no—
349C2×#117—711no—
350C2×#117—712no—
351C2×#117C2×D7111yescharacteristic
352C2×#117C2×D7111yescharacteristic
353C22×C4⋊C4—711no—
354C22×C4⋊C4—712no—
355C22×C4⋊C4—712no—
356C22×C4⋊C4—714no—
357C22×C4⋊C4—714no—
358C22×C4⋊C4—1428no—
359C22×C4⋊C4C2×D7111yescharacteristic
360#391—712no—
361#390—712no—
362#389—714no—
363#389—718no—
364#388—718no—
365#387—718no—
366#386—714no—
367#386—718no—
368#385—714no—
369#385—718no—
370#385—718no—
371#384—712no—
372#382—712no—
373#381—712no—
374#380—714no—
375#380—712no—
376#380—712no—
377#379—712no—
378C4×C4⋊C4C2×D7114yescomplemented
379C4×C4⋊C4C2×D7114yescomplemented
380C4×C22⋊C4—718no—
381C4×C22⋊C4—714no—
382C4×C22⋊C4C2×D7114yes—
383C25—711no—
384C2×#41—718no—
385C2×#41—1424no—
386C2×#41—1424no—
387C22×Q8—711no—
388C22×D4—712no—
389C22×D4—714no—
390C22×D4—711no—
391C23×C4—2848no—
392C23×C4—712no—
393C23×C4—714no—
394C23×C4—718no—
395C23×C4—711no—
396C23×C4—718no—
397C23×C4—712no—
398C23×C4—712no—
399C23×C4—712no—
400C23×C4—1428no—
401C23×C4—1424no—
402C23×C4—1424no—
403C23×C4C22×D7112yes—
404C23×C4C22×D7111yescharacteristic
405#123—7116no—
406C22⋊Q8—7116no—
407#121—7116no—
408#120—7116no—
409C4×Q8—1428no—
410C4×D4—28416no—
411C4×D4—7132no—
412C4×D4—14216no—
413C4×D4—1428no—
414#117—24no—
415#117—1424no—
416#117—1428no—
417#117C4×D7118yescomplemented
418C2×C4⋊C4—718no—
419C2×C4⋊C4—714no—
420C2×C4⋊C4—712no—
421C2×C4⋊C4—718no—
422C2×C4⋊C4—712no—
423C2×C4⋊C4—711no—
424C2×C4⋊C4—714no—
425C2×C4⋊C4—711no—
426C2×C4⋊C4—1428no—
427C2×C4⋊C4—1424no—
428C2×C4⋊C4—14216no—
429C2×C4⋊C4—14216no—
430C2×C4⋊C4—1428no—
431C2×C4⋊C4D28418yescomplemented
432C2×C4⋊C4C22×D7112yes—
433C2×C4⋊C4C22×D7112yes—
434C2×C4⋊C4C22×D7112yes—
435C2×C4⋊C4C22×D7112yes—
436C2×C22⋊C4—718no—
437C2×C22⋊C4—714no—
438C2×C22⋊C4—714no—
439C2×C22⋊C4—712no—
440C2×C22⋊C4—714no—
441C2×C22⋊C4—714no—
442C2×C22⋊C4—714no—
443C2×C22⋊C4C22×D7112yes—
444C2×C22⋊C4C22×D7112yes—
445C2×C42—714no—
446C2×C42—712no—
447C2×C42C22×D7112yes—
448C2×C42C22×D7118yes—
449C2×C42C22×D7112yes—
450#95—714no—
451#95—714no—
452#95—718no—
453#95—718no—
454#95C22×D7118yes—
455C24—712no—
456C24—714no—
457C24—712no—
458C24—1424no—
459C24—1424no—
460C24—1422no—
461C24—1422no—
462C24C23×D7111yescharacteristic
463#41—14232no—
464C2×Q8—714no—
465C2×Q8—1422no—
466C2×Q8—1422no—
467C2×D4—718no—
468C2×D4—7116no—
469C2×D4—714no—
470C2×D4—1428no—
471C2×D4—1428no—
472C2×D4—1424no—
473C2×D4—1424no—
474C2×D4—1422no—
475C2×D4—1422no—
476C22×C4—44no—
477C22×C4—2848no—
478C22×C4—2848no—
479C22×C4—28432no—
480C22×C4—2844no—
481C22×C4—714no—
482C22×C4—712no—
483C22×C4—712no—
484C22×C4—718no—
485C22×C4—718no—
486C22×C4—718no—
487C22×C4—712no—
488C22×C4—714no—
489C22×C4—712no—
490C22×C4—14216no—
491C22×C4—1424no—
492C22×C4—14216no—
493C22×C4—1428no—
494C22×C4—1422no—
495C22×C4—1422no—
496C22×C4—1424no—
497C22×C4—1424no—
498C22×C4—1424no—
499C22×C4—1424no—
500C22×C4—1424no—
501C22×C4—1424no—
502C22×C4—14232no—
503C22×C4C2×C4×D7114yes—
504C22×C4C2×D28418yes—
505C22×C4C2×D28414yes—
506C22×C4#1176586514yes—
507C22×C4C23×D7114yes—
508C22×C4C23×D7114yes—
509C22×C4C23×D7114yes—
510C22×C4C23×D7111yescharacteristic
511C22×C4C23×D7111yescharacteristic
512C4⋊C4—24no—
513C4⋊C4—2848no—
514C4⋊C4—7116no—
515C4⋊C4—14216no—
516C4⋊C4—1428no—
517C4⋊C4—1424no—
518C4⋊C4—1424no—
519C4⋊C4—1422no—
520C4⋊C4—1422no—
521C4⋊C4C2×C4×D7118yescomplemented
522C4⋊C4C2×D28418yes—
523C4⋊C4C2×D28418yes—
524C22⋊C4—24no—
525C22⋊C4—2848no—
526C22⋊C4—7116no—
527C22⋊C4—7116no—
528C22⋊C4—1428no—
529C22⋊C4—1428no—
530C22⋊C4—1424no—
531C22⋊C4—1428no—
532C22⋊C4C2×C4×D7118yes—
533C42—24no—
534C42—48no—
535C42—1424no—
536C42—1428no—
537C42C2×C4×D7118yescomplemented
538C23—22no—
539C23—22no—
540C23—714no—
541C23—714no—
542C23—714no—
543C23—714no—
544C23—14216no—
545C23—1428no—
546C23—1428no—
547C23—14216no—
548C23—1422no—
549C23—1422no—
550C23—1424no—
551C23—1424no—
552C23—1422no—
553C23—1422no—
554C23—1422no—
555C23—1422no—
556C23—1428no—
557C23C22×C4×D7112yes—
558C23C22×D28412yes—
559C23C2×#1176586512yes—
560C23C24×D7111yescharacteristic
561Q8—1428no—
562D4—14232no—
563D4—14216no—
564D4—1428no—
565C2×C4—24no—
566C2×C4—28no—
567C2×C4—24no—
568C2×C4—24no—
569C2×C4—24no—
570C2×C4—24no—
571C2×C4—48no—
572C2×C4—28432no—
573C2×C4—2848no—
574C2×C4—5688no—
575C2×C4—714no—
576C2×C4—714no—
577C2×C4—1422no—
578C2×C4—1422no—
579C2×C4—1424no—
580C2×C4—1428no—
581C2×C4—1424no—
582C2×C4—1424no—
583C2×C4—1422no—
584C2×C4—1422no—
585C2×C4—1422no—
586C2×C4—1422no—
587C2×C4—1428no—
588C2×C4—14216no—
589C2×C4—14216no—
590C2×C4—14216no—
591C2×C4C4×D284116yescomplemented
592C2×C4C22×C4×D7118yes—
593C2×C4C22×C4×D7112yes—
594C2×C4C22×C4×D7112yes—
595C2×C4C22×D28418yes—
596C2×C4C22×D28412yes—
597C2×C4C22×D28412yes—
598C2×C4C2×#1176586512yes—
599C2×C4C2×#1176586512yes—
600C22—22no—
601C22—24no—
602C22—24no—
603C22—22no—
604C22—2842no—
605C22—2844no—
606C22—2842no—
607C22—718no—
608C22—14232no—
609C22—1424no—
610C22—1428no—
611C22—1424no—
612C22—1424no—
613C22—1424no—
614C22—1424no—
615C22—1424no—
616C22—1424no—
617C22C2×C4×D28414yes—
618C22C23×C4×D7111yescharacteristic
619C22C23×D28411yescharacteristic
620C22C22×#1176586511yescharacteristic
621C22H(5,𝔽2)×D7112yes—
622C222−1+4×D7112yes—
623C4—28no—
624C4—28no—
625C4—44no—
626C4—2842no—
627C4—2844no—
628C4—2842no—
629C4—1424no—
630C4—1424no—
631C4C2×C4×D28414yes—
632C4C2×C4×D28414yes—
633C2—24no—
634C2—2844no—
635C2—1428no—
636C2C22×C4×D28411yescharacteristic
637C2#520×D7112yes—
638C2#2260197611yescharacteristic
639C2#2260199211yescharacteristic
640C2#2260204312yes—
subgroupG/H
center, FrattiniC23C24×D71
commutatorC22×C71C24×C4
FittingC71×#2274C2
socle, cosocleC23×C71C25
prime radicalC2×#17986511C2
hypercenter#2274D71
hypocenterC71#34200
LCSG ▷ C22×C71 ▷ C71
UCSC1 ◁ C23 ◁ #2274

Complements

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

NH ≅ G/Ntype
2. C2×#17986480C2semidirect
3. C22×C4⋊C4×D71C2semidirect
4. #22591358C2semidirect
5. #22591347C2semidirect
6. #22591272C2semidirect
7. C4⋊C4×D284C2semidirect
8. #22591011C2semidirect
9. #22590963C2semidirect
10. #22590928C2semidirect
11. C4×#14556098C2semidirect
12. #22590719C2semidirect
13. C71×#2274C2semidirect
17. #17986511C4semidirect
23. C2×#14556093C22semidirect
26. C2×#14556090C22semidirect
29. C2×#14556086C22semidirect
35. C2×C4⋊C4×D71C22semidirect
36. #17985905C22semidirect
37. #17985901C22semidirect
38. #17985898C22semidirect
39. #17985897C22semidirect
40. #17985890C22semidirect
41. #17985884C22semidirect
46. #17985873C22semidirect
47. #17985869C22semidirect
48. #17985865C22semidirect
52. #17985856C22semidirect
59. C4×C4⋊C4×C71C22semidirect
60. C4×C4⋊C4×C71C22semidirect
65. C2×#11765865C2×C4semidirect
76. C22×C4×D71C2×C4semidirect
82. #14556112C2×C4semidirect
83. #14556108C2×C4semidirect
84. #14556103C2×C4semidirect
85. #14556098C2×C4semidirect
88. C4×D284C2×C4semidirect
122. #117×C71C2×C4semidirect
123. C2×C4⋊C4×C71D4semidirect
144. C2×Dic142C22×C4semidirect
150. C2×D284C22×C4semidirect
179. C2×C4×D71C22×C4semidirect
185. C4⋊Dic71C22×C4semidirect
194. (C2×D71)⋊C4C22×C4semidirect
209. C4⋊C4×C71C22×C4semidirect
216. C42×C71C22×C4semidirect
247. C2×C4×C71C4×D4semidirect
301. C2×D71#520semidirect
333. #2274D71semidirect
334. C71#34200semidirect
378. C4×C4⋊C4C2×D71semidirect
379. C4×C4⋊C4C2×D71semidirect
417. #117C4×D71semidirect
431. C2×C4⋊C4D284semidirect
521. C4⋊C4C2×C4×D71semidirect
537. C42C2×C4×D71semidirect
591. C2×C4C4×D284semidirect

Maximal subgroups

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

subgroupindex
C2×#179865112
C2×#179864802
C22×C4⋊C4×D712
#225913582
#225913472
#225912722
C4⋊C4×D2842
#225910112
#225909632
#225909282
C4×#145560982
#225907192
C71×#22742
#3420071