Finite Group Databasebeta

← C2×#22563658 #31023786

Subgroups — C2×#22563658 #31023786

Order 17152.

3830 conjugacy classes of subgroups.

The subgroup lattice has 664 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#14524023C211yesmaximal, characteristic, complemented
2C22×#14524023C211yesmaximal, characteristic, complemented
3C22×C4×D268C211yesmaximal, characteristic
4C22×C4⋊C4×D67C211yesmaximal, characteristic, complemented
5#22563658C2116yesmaximal, direct product factor
6C2×#16863328C212yesmaximal, complemented
7C2×#16863318C212yesmaximal, complemented
8C2×#16863302C211yesmaximal, characteristic, complemented
9C2×#16863274C212yesmaximal
10C2×#16863253C211yesmaximal, characteristic, complemented
11C2×#16863253C212yesmaximal, complemented
12C2×#389×C67C211yesmaximal, characteristic, complemented
13C23×Dic134C2211yescharacteristic
14C23×D268C2211yescharacteristic
15C23×C4×D67C2211yescharacteristic
16C23×C4×D67C2212yes—
17C23×C4×D67C2211yescharacteristic
18C2×#14524023—28no—
19C2×#14524023—28no—
20C2×#14524023C2218yescomplemented
21C2×#14524023C2218yescomplemented
22C2×C4×D268—28no—
23C2×C4×D268C2218yes—
24C22×C4⋊Dic67C2211yescharacteristic
25C22×C4⋊Dic67C2212yes—
26C22×C4⋊Dic67C2211yescharacteristic
27C22×C4⋊Dic67C2212yes—
28C22×Dic67⋊C4C2212yes—
29C2×C4⋊C4×D67—28no—
30C2×C4⋊C4×D67C2218yescomplemented
31C22×(C2×D67)⋊C4C2211yescharacteristic
32C22×(C2×D67)⋊C4C2212yes—
33C22×(C2×D67)⋊C4C2212yes—
34C22×(C2×D67)⋊C4C2211yescharacteristic
35C22×(C2×D67)⋊C4C2212yes—
36#16863328C22116yescomplemented
37#16863318C22116yescomplemented
38#16863302C2218yescomplemented
39#16863274C22116yes—
40#16863253C2218yescomplemented
41#16863253C22116yescomplemented
42C2×C67⋊#95C2212yes—
43C2×C67⋊#95C2212yes—
44C2×C67⋊#95C2212yes—
45C22×C4⋊C4×C67C2211yescharacteristic
46C22×C4⋊C4×C67C2212yes—
47C22×C4⋊C4×C67C2211yescharacteristic
48C22×C42×C67C2211yescharacteristic
49#389×C67C2218yescomplemented
50C2×#95×C67C2212yes—
51C24×D67C2311yescharacteristic
52C24×D67C2311yescharacteristic
53C22×Dic134—24no—
54C22×Dic134—24no—
55C22×Dic134—24no—
56C22×Dic134C2314yes—
57C22×D268—24no—
58C22×D268—24no—
59C22×D268Q818yescomplemented
60C22×D268C2314yes—
61C23×Dic67C2312yes—
62C23×Dic67C2312yes—
63C23×Dic67C2311yescharacteristic
64C23×Dic67C2311yescharacteristic
65C22×C4×D67—28no—
66C22×C4×D67—24no—
67C22×C4×D67—28no—
68C22×C4×D67—24no—
69C22×C4×D67—24no—
70C22×C4×D67—24no—
71C22×C4×D67—24no—
72C22×C4×D67—44no—
73C22×C4×D67D418yes—
74C22×C4×D67C2314yes—
75C22×C4×D67C2318yes—
76C22×C4×D67C2314yes—
77#14524023—232no—
78#14524023—232no—
79C4×D268—232no—
80C2×C4⋊Dic67—24no—
81C2×C4⋊Dic67—28no—
82C2×C4⋊Dic67—24no—
83C2×C4⋊Dic67—28no—
84C2×C4⋊Dic67C2314yes—
85C2×C4⋊Dic67C2318yes—
86C2×C4⋊Dic67C2318yes—
87C2×C4⋊Dic67C2314yes—
88C2×Dic67⋊C4—28no—
89C2×Dic67⋊C4C2318yes—
90C4⋊C4×D67—232no—
91C2×(C2×D67)⋊C4—24no—
92C2×(C2×D67)⋊C4—28no—
93C2×(C2×D67)⋊C4—24no—
94C2×(C2×D67)⋊C4—28no—
95C2×(C2×D67)⋊C4—44no—
96C2×(C2×D67)⋊C4C2314yes—
97C2×(C2×D67)⋊C4C2318yes—
98C2×(C2×D67)⋊C4C2318yes—
99C2×(C2×D67)⋊C4C2314yes—
100C2×(C2×D67)⋊C4C2318yes—
101C67⋊#95C2318yes—
102C67⋊#95C2318yes—
103C67⋊#95C2318yes—
104C23×C4×C67C2311yescharacteristic
105C23×C4×C67C2312yes—
106C23×C4×C67C2312yes—
107C23×C4×C67C2311yescharacteristic
108C23×C4×C67C2311yescharacteristic
109C2×C4⋊C4×C67—24no—
110C2×C4⋊C4×C67—44no—
111C2×C4⋊C4×C67D418yescomplemented
112C2×C4⋊C4×C67C2314yes—
113C2×C4⋊C4×C67C2318yes—
114C2×C4⋊C4×C67C2314yes—
115C2×C42×C67—24no—
116C2×C42×C67C2314yes—
117#95×C67C2318yes—
118C23×D67—22no—
119C23×D67—22no—
120C23×D67—22no—
121C23×D67—22no—
122C23×D67—22no—
123C23×D67—22no—
124C23×D67—22no—
125C23×D67—22no—
126C23×D67—22no—
127C23×D67—22no—
128C23×D67C2×D414yes—
129C23×D67C2×Q814yes—
130C23×D67C2×Q814yes—
131C23×D67#4114yes—
132C23×D67C2412yes—
133C23×D67C2412yes—
134C2×Dic134—28no—
135C2×Dic134—28no—
136C2×Dic134—28no—
137C2×Dic134—416no—
138C2×D268—232no—
139C2×D268—28no—
140C2×D268—28no—
141C2×D268C2×Q8116yescomplemented
142C22×Dic67—22no—
143C22×Dic67—22no—
144C22×Dic67—22no—
145C22×Dic67—24no—
146C22×Dic67—24no—
147C22×Dic67—24no—
148C22×Dic67—22no—
149C22×Dic67—24no—
150C22×Dic67—22no—
151C22×Dic67—24no—
152C22×Dic67—24no—
153C22×Dic67C2×D414yes—
154C22×Dic67C2414yes—
155C22×Dic67C2414yes—
156C22×Dic67C2412yes—
157C22×Dic67C2412yes—
158C2×C4×D67—232no—
159C2×C4×D67—28no—
160C2×C4×D67—28no—
161C2×C4×D67—216no—
162C2×C4×D67—216no—
163C2×C4×D67—28no—
164C2×C4×D67—28no—
165C2×C4×D67—28no—
166C2×C4×D67—48no—
167C2×C4×D67—432no—
168C2×C4×D67—416no—
169C2×C4×D67C2×D4116yes—
170C4⋊Dic67—28no—
171C4⋊Dic67—216no—
172C4⋊Dic67—28no—
173C4⋊Dic67—216no—
174Dic67⋊C4—216no—
175(C2×D67)⋊C4—28no—
176(C2×D67)⋊C4—216no—
177(C2×D67)⋊C4—216no—
178(C2×D67)⋊C4—28no—
179(C2×D67)⋊C4—48no—
180C24×C67C2411yescharacteristic
181C22×C4×C67—22no—
182C22×C4×C67—24no—
183C22×C4×C67—22no—
184C22×C4×C67—24no—
185C22×C4×C67—22no—
186C22×C4×C67—24no—
187C22×C4×C67—22no—
188C22×C4×C67—24no—
189C22×C4×C67—22no—
190C22×C4×C67—24no—
191C22×C4×C67C2×D414yes—
192C22×C4×C67C2×D418yes—
193C22×C4×C67C2×D414yes—
194C22×C4×C67C2×Q814yes—
195C22×C4×C67#4114yes—
196C22×C4×C67C2412yes—
197C22×C4×C67C2414yes—
198C22×C4×C67C2414yes—
199C22×C4×C67C2412yes—
200C22×C4×C67C2412yes—
201C4⋊C4×C67—28no—
202C4⋊C4×C67—48no—
203C4⋊C4×C67C2×D4116yescomplemented
204C42×C67—28no—
205C23×C67C22×D412yes—
206C23×C67C22×D412yes—
207C23×C67C22×Q812yes—
208C23×C67C2×#4112yes—
209C23×C67C2×#4112yes—
210C23×C67H(5,𝔽2)12yes—
211C23×C672−1+412yes—
212C23×C67C2511yescharacteristic
213C22×D67—28no—
214C22×D67—28no—
215C22×D67—28no—
216C22×D67—28no—
217C22×D67—28no—
218C22×D67—28no—
219C22×D67—22no—
220C22×D67—22no—
221C22×D67—22no—
222C22×D67—22no—
223C22×D67—28no—
224C22×D67—28no—
225C22×D67—28no—
226C22×D67—22no—
227C22×D67—22no—
228C22×D67—22no—
229C22×D67—22no—
230C22×D67—22no—
231C22×D67—22no—
232C22×D67—44no—
233C22×D67—44no—
234C22×D67—44no—
235C22×D67—44no—
236C22×D67C22⋊Q8116yescomplemented
237C22×D67C22×D414yes—
238C22×D67C22×Q814yes—
239C22×D67C22×Q814yes—
240C22×D67C2×#4114yes—
241C2×C4×C67—28no—
242C2×C4×C67—216no—
243C2×C4×C67—22no—
244C2×C4×C67—24no—
245C2×C4×C67—22no—
246C2×C4×C67—24no—
247C2×C4×C67—22no—
248C2×C4×C67—24no—
249C2×C4×C67—22no—
250C2×C4×C67—24no—
251C2×C4×C67—22no—
252C2×C4×C67—24no—
253C2×C4×C67—44no—
254C2×C4×C67—48no—
255C2×C4×C67#121116yes—
256C2×C4×C67C22×D414yes—
257C2×C4×C67C22×D418yes—
258C2×C4×C67C22×D414yes—
259C2×C4×C67C22×Q814yes—
260C2×C4×C67C2×#4114yes—
261C2×Dic67—28no—
262C2×Dic67—22no—
263C2×Dic67—22no—
264C2×Dic67—22no—
265C2×Dic67—24no—
266C2×Dic67—24no—
267C2×Dic67—24no—
268C2×Dic67—22no—
269C2×Dic67—24no—
270C2×Dic67—22no—
271C2×Dic67—24no—
272C2×Dic67—24no—
273C2×Dic67—44no—
274C2×Dic67—48no—
275C2×Dic67—48no—
276C2×Dic67C22×D414yes—
277D268—232no—
278C4×D67—232no—
279C4×D67—432no—
280C4×D67—416no—
281Dic134—416no—
282C22×C67C2×#12114yes—
283C22×C67C2×C22⋊Q814yes—
284C22×C67#53714yes—
285C22×C67#54614yes—
286C22×C67D4×Q814yes—
287C22×C67#55214yes—
288C22×C67#55414yes—
289C22×C67C23×D411yescharacteristic
290C22×C67C23×D411yescharacteristic
291C22×C67C23×Q811yescharacteristic
292C22×C67C22×#4111yescharacteristic
293C22×C67C22×#4111yescharacteristic
294C22×C67C2×H(5,𝔽2)11yescharacteristic
295C22×C67C2×2−1+411yescharacteristic
296C2×D67—24no—
297C2×D67—232no—
298C2×D67—24no—
299C2×D67—24no—
300C2×D67—24no—
301C2×D67—24no—
302C2×D67—24no—
303C2×D67—24no—
304C2×D67—24no—
305C2×D67—24no—
306C2×D67—42no—
307C2×D67—416no—
308C2×D67—42no—
309C2×D67—42no—
310C2×D67—42no—
311C2×D67C2×C22⋊Q818yescomplemented
312C4×C67—24no—
313C4×C67—28no—
314C4×C67—42no—
315C4×C67—44no—
316C4×C67C2×#12118yes—
317Dic67—24no—
318Dic67—44no—
319Dic67—42no—
320Dic67—44no—
321C2×#2417—671nomaximal, Sylow
322C2×C67#241718yescomplemented
323C2×C67C22×#12111yescharacteristic
324C2×C67C22×C22⋊Q811yescharacteristic
325C2×C67C2×#53711yescharacteristic
326C2×C67C2×#54611yescharacteristic
327C2×C67C2×D4×Q811yescharacteristic
328C2×C67C2×#55211yescharacteristic
329C2×C67C2×#55411yescharacteristic
330D67—28no—
331D67—44no—
332C22×C22⋊Q8—671no—
333C22×C22⋊Q8—671no—
334C22×C4×D4—671no—
335C23×C4⋊C4—671no—
336#2417—6716no—
337C2×#398—672no—
338C2×#396—672no—
339C2×#391—671no—
340C2×#389D6711yescharacteristic, complemented
341C2×#386—672no—
342C2×#380—671no—
343C2×#380—672no—
344C67C2×#241711yescharacteristic, complemented, Sylow
345C23×Q8—671no—
346C23×D4—671no—
347C24×C4—672no—
348C24×C4—671no—
349C24×C4—671no—
350C2×C22⋊Q8—678no—
351C2×C22⋊Q8—678no—
352C2×C22⋊Q8—1348no—
353C2×C22⋊Q8—1348no—
354C2×C4×D4—678no—
355C2×C4×D4—1348no—
356C22×C4⋊C4—672no—
357C22×C4⋊C4—672no—
358C22×C4⋊C4—671no—
359C22×C4⋊C4—672no—
360C22×C4⋊C4—671no—
361C22×C4⋊C4—678no—
362C22×C4⋊C4—1348no—
363C22×C4⋊C4C2×D6711yescharacteristic
364C22×C4⋊C4C2×D6712yes—
365C22×C4⋊C4C2×D6711yescharacteristic
366C22×C22⋊C4—672no—
367C22×C22⋊C4—671no—
368C22×C22⋊C4—672no—
369C22×C22⋊C4—671no—
370C22×C22⋊C4—672no—
371C22×C42C2×D6711yescharacteristic
372#398—6716no—
373#396—6716no—
374#391—678no—
375#389C2×D6718yescomplemented
376#386—6716no—
377#380—678no—
378#380—6716no—
379C2×#95—672no—
380C2×#95—672no—
381C2×#95—672no—
382C2×#95C2×D6712yes—
383C25—671no—
384C25—671no—
385C22×Q8—674no—
386C22×Q8—1344no—
387C22×Q8—1344no—
388C22×Q8—1344no—
389C22×D4—678no—
390C22×D4—674no—
391C22×D4—1344no—
392C22×D4—1344no—
393C23×C4—2684no—
394C23×C4—678no—
395C23×C4—671no—
396C23×C4—678no—
397C23×C4—674no—
398C23×C4—672no—
399C23×C4—671no—
400C23×C4—672no—
401C23×C4—674no—
402C23×C4—1348no—
403C23×C4—1344no—
404C23×C4—1348no—
405C23×C4—1344no—
406C23×C4—1344no—
407C23×C4—1344no—
408C23×C4—1344no—
409C23×C4C22×D6712yes—
410C23×C4C22×D6711yescharacteristic
411C23×C4C22×D6712yes—
412C23×C4C22×D6711yescharacteristic
413C23×C4C22×D6711yescharacteristic
414C22⋊Q8—13432no—
415C22⋊Q8—13432no—
416C4×D4—13432no—
417C2×C4⋊C4—24no—
418C2×C4⋊C4—44no—
419C2×C4⋊C4—678no—
420C2×C4⋊C4—674no—
421C2×C4⋊C4—674no—
422C2×C4⋊C4—678no—
423C2×C4⋊C4—678no—
424C2×C4⋊C4—1344no—
425C2×C4⋊C4—1348no—
426C2×C4⋊C4—1348no—
427C2×C4⋊C4—1344no—
428C2×C4⋊C4—1348no—
429C2×C4⋊C4—13432no—
430C2×C4⋊C4D26818yescomplemented
431C2×C4⋊C4C22×D6714yes—
432C2×C4⋊C4C22×D6718yes—
433C2×C4⋊C4C22×D6714yes—
434C2×C22⋊C4—2684no—
435C2×C22⋊C4—678no—
436C2×C22⋊C4—674no—
437C2×C22⋊C4—674no—
438C2×C22⋊C4—678no—
439C2×C22⋊C4—678no—
440C2×C22⋊C4—1344no—
441C2×C22⋊C4—1344no—
442C2×C22⋊C4—1348no—
443C2×C22⋊C4—1348no—
444C2×C42—24no—
445C2×C42C22×D6714yes—
446#95—678no—
447#95—678no—
448#95—678no—
449#95C22×D6718yes—
450C24—674no—
451C24—674no—
452C24—674no—
453C24—672no—
454C24—674no—
455C24—672no—
456C24—1342no—
457C24—1342no—
458C24—1342no—
459C24—1342no—
460C24—1342no—
461C24—1342no—
462C24—1342no—
463C24—1342no—
464C24—1342no—
465C24—1342no—
466C24C23×D6711yescharacteristic
467C2×Q8—26816no—
468C2×Q8—1348no—
469C2×Q8—1348no—
470C2×Q8—1348no—
471C2×D4—6716no—
472C2×D4—1348no—
473C2×D4—13432no—
474C2×D4—1348no—
475C22×C4—22no—
476C22×C4—24no—
477C22×C4—22no—
478C22×C4—24no—
479C22×C4—22no—
480C22×C4—24no—
481C22×C4—24no—
482C22×C4—22no—
483C22×C4—24no—
484C22×C4—22no—
485C22×C4—26832no—
486C22×C4—2688no—
487C22×C4—26816no—
488C22×C4—674no—
489C22×C4—672no—
490C22×C4—6716no—
491C22×C4—674no—
492C22×C4—674no—
493C22×C4—672no—
494C22×C4—13416no—
495C22×C4—1342no—
496C22×C4—1344no—
497C22×C4—1344no—
498C22×C4—1344no—
499C22×C4—1342no—
500C22×C4—1344no—
501C22×C4—1342no—
502C22×C4—1344no—
503C22×C4—1344no—
504C22×C4—1348no—
505C22×C4—13416no—
506C22×C4—1348no—
507C22×C4—1348no—
508C22×C4—1342no—
509C22×C4—1342no—
510C22×C4—13432no—
511C22×C4—1348no—
512C22×C4—1348no—
513C22×C4D4×D6714yes—
514C22×C4C2×D26818yes—
515C22×C4C2×D26814yes—
516C22×C4Q8×D6714yes—
517C22×C4#1176162914yes—
518C22×C4C23×D6712yes—
519C22×C4C23×D6714yes—
520C22×C4C23×D6714yes—
521C22×C4C23×D6712yes—
522C22×C4C23×D6712yes—
523C4⋊C4—28no—
524C4⋊C4—48no—
525C4⋊C4—1348no—
526C4⋊C4—13416no—
527C4⋊C4—13416no—
528C4⋊C4—1348no—
529C4⋊C4—13416no—
530C4⋊C4C2×D268116yescomplemented
531C22⋊C4—2688no—
532C22⋊C4—1348no—
533C22⋊C4—1348no—
534C22⋊C4—13416no—
535C22⋊C4—13416no—
536C42—28no—
537C23—2684no—
538C23—2684no—
539C23—2684no—
540C23—2684no—
541C23—6716no—
542C23—674no—
543C23—674no—
544C23—674no—
545C23—674no—
546C23—1348no—
547C23—1348no—
548C23—1348no—
549C23—1342no—
550C23—1342no—
551C23—1342no—
552C23—1342no—
553C23—1342no—
554C23—1342no—
555C23—1348no—
556C23—1348no—
557C23—1348no—
558C23—1348no—
559C23—1348no—
560C23—1342no—
561C23—1342no—
562C23—1342no—
563C23—1342no—
564C23—1348no—
565C23C2×D4×D6712yes—
566C23C22×D26812yes—
567C23C2×Q8×D6712yes—
568C23#41×D6712yes—
569C23C2×#1176162912yes—
570C23#1452408812yes—
571C23#1452409012yes—
572C23C24×D6711yescharacteristic
573Q8—26816no—
574D4—13432no—
575C2×C4—216no—
576C2×C4—28no—
577C2×C4—22no—
578C2×C4—24no—
579C2×C4—22no—
580C2×C4—24no—
581C2×C4—22no—
582C2×C4—24no—
583C2×C4—24no—
584C2×C4—22no—
585C2×C4—22no—
586C2×C4—24no—
587C2×C4—44no—
588C2×C4—48no—
589C2×C4—26832no—
590C2×C4—2688no—
591C2×C4—2684no—
592C2×C4—2688no—
593C2×C4—26816no—
594C2×C4—674no—
595C2×C4—1342no—
596C2×C4—1344no—
597C2×C4—1344no—
598C2×C4—1344no—
599C2×C4—1342no—
600C2×C4—1344no—
601C2×C4—1342no—
602C2×C4—1344no—
603C2×C4—1344no—
604C2×C4—1348no—
605C2×C4—1342no—
606C2×C4—1342no—
607C2×C4—13432no—
608C2×C4#14524018116yes—
609C2×C4C2×D4×D6714yes—
610C2×C4C22×D26818yes—
611C2×C4C22×D26814yes—
612C2×C4C2×Q8×D6714yes—
613C2×C4C2×#1176162914yes—
614C22—26816no—
615C22—2682no—
616C22—2682no—
617C22—2682no—
618C22—2682no—
619C22—678no—
620C22—1344no—
621C22—1344no—
622C22—1344no—
623C22—13432no—
624C22—1344no—
625C22—1344no—
626C22—1344no—
627C22—1344no—
628C22—1344no—
629C22—1344no—
630C22C2×#1452401814yes—
631C22C22⋊Q8×D6714yes—
632C22#1686397514yes—
633C22#1686404114yes—
634C22Q8×D26814yes—
635C22#1686408414yes—
636C22#1686410714yes—
637C22C22×D4×D6711yescharacteristic
638C22C23×D26811yescharacteristic
639C22C22×Q8×D6711yescharacteristic
640C22C2×#41×D6711yescharacteristic
641C22C22×#1176162911yescharacteristic
642C22C2×#1452408811yescharacteristic
643C22C2×#1452409011yescharacteristic
644C4—28no—
645C4—24no—
646C4—42no—
647C4—44no—
648C4—2684no—
649C4—2682no—
650C4—2684no—
651C4—1344no—
652C4C2×#1452401818yes—
653C2—2684no—
654C2—1348no—
655C2#2256365818yesdirect product factor
656C2C22×#1452401811yescharacteristic
657C2C2×C22⋊Q8×D6711yescharacteristic
658C2C2×#1686397511yescharacteristic
659C2C2×#1686404111yescharacteristic
660C2C2×Q8×D26811yescharacteristic
661C2C2×#1686408411yescharacteristic
662C2C2×#1686410711yescharacteristic
subgroupG/H
centerC24C23×D67
commutator, cosocleC23×C67C25
FrattiniC23C24×D67
FittingC2×#389×C67C2
socleC24×C67C24
prime radicalC23×D268C22
hypercenterC2×#389D67
hypocenterC67C2×#2417
LCSG ▷ C23×C67 ▷ C67
UCSC1 ◁ C24 ◁ C2×#389

Complements

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

NH ≅ G/Ntype
1. C22×#14524023C2semidirect
2. C22×#14524023C2semidirect
4. C22×C4⋊C4×D67C2semidirect
5. #22563658C2direct (N × H)
6. C2×#16863328C2semidirect
7. C2×#16863318C2semidirect
8. C2×#16863302C2semidirect
10. C2×#16863253C2semidirect
11. C2×#16863253C2semidirect
12. C2×#389×C67C2semidirect
20. C2×#14524023C22semidirect
21. C2×#14524023C22semidirect
30. C2×C4⋊C4×D67C22semidirect
36. #16863328C22semidirect
37. #16863318C22semidirect
38. #16863302C22semidirect
40. #16863253C22semidirect
41. #16863253C22semidirect
49. #389×C67C22semidirect
59. C22×D268Q8semidirect
111. C2×C4⋊C4×C67D4semidirect
141. C2×D268C2×Q8semidirect
203. C4⋊C4×C67C2×D4semidirect
236. C22×D67C22⋊Q8semidirect
311. C2×D67C2×C22⋊Q8semidirect
322. C2×C67#2417semidirect
340. C2×#389D67semidirect
344. C67C2×#2417semidirect
375. #389C2×D67semidirect
430. C2×C4⋊C4D268semidirect
530. C4⋊C4C2×D268semidirect
655. C2#22563658direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#145240232
C22×C4×D2682
C22×C4⋊C4×D672
#225636582
C2×#168633282
C2×#168633182
C2×#168633022
C2×#168632742
C2×#168632532
C2×#389×C672
C2×#241767