Finite Group Databasebeta

← C2×#22563135 #31015155

Subgroups — C2×#22563135 #31015155

Order 17152.

3894 conjugacy classes of subgroups.

The subgroup lattice has 644 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C4×D268C211yesmaximal, characteristic
2C22×#14524001C211yesmaximal, characteristic, complemented
3C22×C4⋊C4×D67C211yesmaximal, characteristic, complemented
4#22563135C2116yesmaximal, direct product factor
5C2×#16863285C212yesmaximal, complemented
6C2×#16863279C212yesmaximal, complemented
7C2×#16863274C212yesmaximal
8C2×#16863253C211yesmaximal, characteristic, complemented
9C2×#16863253C211yesmaximal, characteristic, complemented
10C2×C4×C4⋊Dic67C211yesmaximal, characteristic, complemented
11C2×#16863243C212yesmaximal, complemented
12C2×#382×C67C211yesmaximal, characteristic, complemented
13C23×D268C2211yescharacteristic
14C23×C4×D67C2212yes—
15C23×C4×D67C2211yescharacteristic
16C23×C4×D67C2211yescharacteristic
17C2×C4×D268C4116yescomplemented
18C2×C4×D268C2218yes—
19C2×#14524001—28no—
20C2×#14524001C2218yescomplemented
21C22×C4⋊Dic67C2211yescharacteristic
22C22×C4⋊Dic67C2211yescharacteristic
23C22×C4⋊Dic67C2211yescharacteristic
24C22×Dic67⋊C4C2212yes—
25C2×C4⋊C4×D67—28no—
26C2×C4⋊C4×D67C2218yescomplemented
27C22×(C2×D67)⋊C4C2212yes—
28C22×(C2×D67)⋊C4C2212yes—
29C22×(C2×D67)⋊C4C2212yes—
30C22×(C2×D67)⋊C4C2211yescharacteristic
31C22×(C2×D67)⋊C4C2211yescharacteristic
32C22×C4×Dic67C2212yes—
33C22×C4×Dic67C2212yes—
34#16863285C22116yescomplemented
35#16863279C22116yescomplemented
36#16863274C22116yes—
37#16863253C2218yescomplemented
38#16863253C2218yescomplemented
39C4×C4⋊Dic67C2218yescomplemented
40#16863243C22116yescomplemented
41C2×C67⋊#95C2212yes—
42C2×C67⋊#95C2212yes—
43C2×C67⋊#95C2212yes—
44C22×C4⋊C4×C67C2211yescharacteristic
45C22×C4⋊C4×C67C2211yescharacteristic
46C22×C42×C67C2211yescharacteristic
47#382×C67C2218yescomplemented
48C2×#95×C67C2212yes—
49C2×#95×C67C2212yes—
50C24×D67C2311yescharacteristic
51C24×D67C2311yescharacteristic
52C22×D268—24no—
53C22×D268—24no—
54C22×D268C2×C418yes—
55C22×D268C2314yes—
56C23×Dic67C2312yes—
57C23×Dic67C2311yescharacteristic
58C23×Dic67C2311yescharacteristic
59C23×Dic67C2312yes—
60C22×C4×D67—28no—
61C22×C4×D67—28no—
62C22×C4×D67—24no—
63C22×C4×D67—24no—
64C22×C4×D67—24no—
65C22×C4×D67—24no—
66C22×C4×D67—44no—
67C22×C4×D67C2×C418yes—
68C22×C4×D67C2×C418yescomplemented
69C22×C4×D67C2318yes—
70C22×C4×D67C2314yes—
71C22×C4×D67C2314yes—
72C4×D268C2×C4164yescomplemented
73#14524001—232no—
74C2×C4⋊Dic67—24no—
75C2×C4⋊Dic67C2×C418yescomplemented
76C2×C4⋊Dic67D418yescomplemented
77C2×C4⋊Dic67C2314yes—
78C2×C4⋊Dic67C2314yes—
79C2×C4⋊Dic67C2314yes—
80C2×Dic67⋊C4—28no—
81C2×Dic67⋊C4C2318yes—
82C4⋊C4×D67—232no—
83C2×(C2×D67)⋊C4—28no—
84C2×(C2×D67)⋊C4—28no—
85C2×(C2×D67)⋊C4—44no—
86C2×(C2×D67)⋊C4C2×C418yes—
87C2×(C2×D67)⋊C4C2×C418yescomplemented
88C2×(C2×D67)⋊C4C2318yes—
89C2×(C2×D67)⋊C4C2318yes—
90C2×(C2×D67)⋊C4C2318yes—
91C2×(C2×D67)⋊C4C2314yes—
92C2×(C2×D67)⋊C4C2314yes—
93C2×C4×Dic67—28no—
94C2×C4×Dic67—44no—
95C2×C4×Dic67C2318yes—
96C2×C4×Dic67C2318yes—
97C67⋊#95C2318yes—
98C67⋊#95C2318yes—
99C67⋊#95C2318yes—
100C23×C4×C67C2312yes—
101C23×C4×C67C2312yes—
102C23×C4×C67C2311yescharacteristic
103C23×C4×C67C2311yescharacteristic
104C23×C4×C67C2311yescharacteristic
105C2×C4⋊C4×C67—24no—
106C2×C4⋊C4×C67—24no—
107C2×C4⋊C4×C67C2314yes—
108C2×C4⋊C4×C67C2314yes—
109C2×C42×C67C2×C418yescomplemented
110C2×C42×C67C2314yes—
111#95×C67C2318yes—
112#95×C67C2318yes—
113C23×D67—22no—
114C23×D67—22no—
115C23×D67—22no—
116C23×D67—22no—
117C23×D67—22no—
118C23×D67—22no—
119C23×D67—22no—
120C23×D67—22no—
121C23×D67—22no—
122C23×D67—22no—
123C23×D67C22×C414yes—
124C23×D67C22×C414yes—
125C23×D67#4114yes—
126C23×D67#4114yes—
127C23×D67C2412yes—
128C23×D67C2412yes—
129C2×D268—232no—
130C2×D268—28no—
131C2×D268—28no—
132C2×D268C22×C4116yes—
133C22×Dic67—22no—
134C22×Dic67—22no—
135C22×Dic67—24no—
136C22×Dic67—22no—
137C22×Dic67—22no—
138C22×Dic67—24no—
139C22×Dic67—24no—
140C22×Dic67—24no—
141C22×Dic67—24no—
142C22×Dic67C22×C414yes—
143C22×Dic67C22×C414yes—
144C22×Dic67C2×D418yes—
145C22×Dic67C2414yes—
146C22×Dic67C2412yes—
147C22×Dic67C2412yes—
148C22×Dic67C2414yes—
149C2×C4×D67—232no—
150C2×C4×D67—232no—
151C2×C4×D67—28no—
152C2×C4×D67—28no—
153C2×C4×D67—28no—
154C2×C4×D67—28no—
155C2×C4×D67—216no—
156C2×C4×D67—216no—
157C2×C4×D67—48no—
158C2×C4×D67—432no—
159C2×C4×D67C22×C4116yes—
160C2×C4×D67C22×C4116yescomplemented
161C4⋊Dic67—28no—
162C4⋊Dic67C22×C4116yescomplemented
163C4⋊Dic67C2×D4116yescomplemented
164Dic67⋊C4—216no—
165(C2×D67)⋊C4—216no—
166(C2×D67)⋊C4—216no—
167(C2×D67)⋊C4—48no—
168(C2×D67)⋊C4C22×C4116yes—
169(C2×D67)⋊C4C22×C4116yescomplemented
170C4×Dic67—216no—
171C4×Dic67—48no—
172C24×C67C2411yescharacteristic
173C22×C4×C67—22no—
174C22×C4×C67—22no—
175C22×C4×C67—22no—
176C22×C4×C67—22no—
177C22×C4×C67—24no—
178C22×C4×C67—24no—
179C22×C4×C67—24no—
180C22×C4×C67—24no—
181C22×C4×C67—24no—
182C22×C4×C67—24no—
183C22×C4×C67C22×C414yes—
184C22×C4×C67C22×C414yes—
185C22×C4×C67C22×C414yes—
186C22×C4×C67C2×D414yes—
187C22×C4×C67#4114yes—
188C22×C4×C67C2414yes—
189C22×C4×C67C2414yes—
190C22×C4×C67C2412yes—
191C22×C4×C67C2412yes—
192C22×C4×C67C2412yes—
193C4⋊C4×C67—28no—
194C4⋊C4×C67—28no—
195C42×C67C22×C4116yescomplemented
196C23×C67C23×C412yes—
197C23×C67C22×D412yes—
198C23×C67C2×#4112yes—
199C23×C67C2×#4112yes—
200C23×C67C2×#4112yes—
201C23×C67H(5,𝔽2)12yes—
202C23×C672−1+412yes—
203C23×C67C2511yescharacteristic
204C22×D67—28no—
205C22×D67—28no—
206C22×D67—28no—
207C22×D67—28no—
208C22×D67—28no—
209C22×D67—28no—
210C22×D67—22no—
211C22×D67—22no—
212C22×D67—22no—
213C22×D67—22no—
214C22×D67—28no—
215C22×D67—28no—
216C22×D67—28no—
217C22×D67—22no—
218C22×D67—22no—
219C22×D67—22no—
220C22×D67—22no—
221C22×D67—22no—
222C22×D67—22no—
223C22×D67—44no—
224C22×D67—44no—
225C22×D67—44no—
226C22×D67—44no—
227C22×D67#117116yescomplemented
228C22×D67C23×C414yes—
229C22×D67C23×C414yes—
230C22×D67C2×#4114yes—
231C22×D67C2×#4114yes—
232C2×C4×C67—28no—
233C2×C4×C67—28no—
234C2×C4×C67—22no—
235C2×C4×C67—22no—
236C2×C4×C67—22no—
237C2×C4×C67—22no—
238C2×C4×C67—24no—
239C2×C4×C67—24no—
240C2×C4×C67—24no—
241C2×C4×C67—24no—
242C2×C4×C67—24no—
243C2×C4×C67—24no—
244C2×C4×C67—48no—
245C2×C4×C67—48no—
246C2×C4×C67C4×D4116yes—
247C2×C4×C67C23×C414yes—
248C2×C4×C67C23×C414yes—
249C2×C4×C67C23×C414yes—
250C2×C4×C67C22×D414yes—
251C2×C4×C67C2×#4114yes—
252C2×Dic67—28no—
253C2×Dic67—28no—
254C2×Dic67—216no—
255C2×Dic67—22no—
256C2×Dic67—22no—
257C2×Dic67—24no—
258C2×Dic67—22no—
259C2×Dic67—22no—
260C2×Dic67—24no—
261C2×Dic67—24no—
262C2×Dic67—24no—
263C2×Dic67—24no—
264C2×Dic67—48no—
265C2×Dic67C23×C414yes—
266C2×Dic67C23×C414yes—
267C2×Dic67C22×D418yes—
268D268—232no—
269C4×D67—232no—
270C4×D67—232no—
271C4×D67—432no—
272C22×C67C2×#11714yes—
273C22×C67C2×C4×D414yes—
274C22×C67#52014yes—
275C22×C67#54614yes—
276C22×C67#54814yes—
277C22×C67#55214yes—
278C22×C67#55314yes—
279C22×C67C24×C411yescharacteristic
280C22×C67C23×D411yescharacteristic
281C22×C67C22×#4111yescharacteristic
282C22×C67C22×#4111yescharacteristic
283C22×C67C22×#4111yescharacteristic
284C22×C67C2×H(5,𝔽2)11yescharacteristic
285C22×C67C2×2−1+411yescharacteristic
286C2×D67—232no—
287C2×D67—24no—
288C2×D67—24no—
289C2×D67—24no—
290C2×D67—24no—
291C2×D67—24no—
292C2×D67—24no—
293C2×D67—24no—
294C2×D67—24no—
295C2×D67—24no—
296C2×D67—416no—
297C2×D67—42no—
298C2×D67—42no—
299C2×D67—42no—
300C2×D67—42no—
301C2×D67C2×#11718yescomplemented
302C4×C67—24no—
303C4×C67—24no—
304C4×C67—44no—
305C4×C67—44no—
306C4×C67C2×C4×D418yes—
307Dic67—24no—
308Dic67—24no—
309Dic67—28no—
310Dic67—44no—
311C2×#2352—671nomaximal, Sylow
312C2×C67#235218yescomplemented
313C2×C67C22×#11711yescharacteristic
314C2×C67C22×C4×D411yescharacteristic
315C2×C67C2×#52011yescharacteristic
316C2×C67C2×#54611yescharacteristic
317C2×C67C2×#54811yescharacteristic
318C2×C67C2×#55211yescharacteristic
319C2×C67C2×#55311yescharacteristic
320D67—28no—
321D67—44no—
322C22×C4×D4—671no—
323C22×#117—671no—
324C23×C4⋊C4—671no—
325#2352—6716no—
326C2×#388—672no—
327C2×#387—672no—
328C2×#386—672no—
329C2×#382D6711yescharacteristic, complemented
330C2×#380—671no—
331C2×#380—671no—
332C2×C4×C4⋊C4—671no—
333C2×C4×C22⋊C4—672no—
334C67C2×#235211yescharacteristic, complemented, Sylow
335C23×D4—671no—
336C24×C4—672no—
337C24×C4—671no—
338C24×C4—671no—
339C2×C4×D4—6716no—
340C2×C4×D4—678no—
341C2×#117—678no—
342C2×#117—1348no—
343C22×C4⋊C4—671no—
344C22×C4⋊C4—671no—
345C22×C4⋊C4—672no—
346C22×C4⋊C4—671no—
347C22×C4⋊C4—678no—
348C22×C4⋊C4—1348no—
349C22×C4⋊C4C2×D6711yescharacteristic
350C22×C4⋊C4C2×D6711yescharacteristic
351C22×C22⋊C4—672no—
352C22×C22⋊C4—671no—
353C22×C22⋊C4—671no—
354C22×C22⋊C4—672no—
355C22×C22⋊C4—672no—
356C22×C42—672no—
357C22×C42—672no—
358C22×C42C2×D6711yescharacteristic
359#388—6716no—
360#387—6716no—
361#386—6716no—
362#382C2×D6718yescomplemented
363#380—678no—
364#380—678no—
365C4×C4⋊C4—678no—
366C4×C22⋊C4—6716no—
367C2×#95—672no—
368C2×#95—672no—
369C2×#95—672no—
370C2×#95C2×D6712yes—
371C2×#95C2×D6712yes—
372C25—671no—
373C25—671no—
374C22×D4—678no—
375C22×D4—674no—
376C22×D4—1344no—
377C22×D4—1344no—
378C23×C4—2684no—
379C23×C4—678no—
380C23×C4—671no—
381C23×C4—672no—
382C23×C4—671no—
383C23×C4—678no—
384C23×C4—678no—
385C23×C4—674no—
386C23×C4—674no—
387C23×C4—672no—
388C23×C4—1348no—
389C23×C4—1348no—
390C23×C4—1344no—
391C23×C4—1344no—
392C23×C4—1344no—
393C23×C4—1344no—
394C23×C4C22×D6712yes—
395C23×C4C22×D6712yes—
396C23×C4C22×D6711yescharacteristic
397C23×C4C22×D6711yescharacteristic
398C23×C4C22×D6711yescharacteristic
399C4×D4—6764no—
400#117—13432no—
401C2×C4⋊C4—24no—
402C2×C4⋊C4—24no—
403C2×C4⋊C4—678no—
404C2×C4⋊C4—678no—
405C2×C4⋊C4—674no—
406C2×C4⋊C4—674no—
407C2×C4⋊C4—678no—
408C2×C4⋊C4—674no—
409C2×C4⋊C4—13432no—
410C2×C4⋊C4—1348no—
411C2×C4⋊C4—1344no—
412C2×C4⋊C4C22×D6714yes—
413C2×C4⋊C4C22×D6714yes—
414C2×C22⋊C4—2684no—
415C2×C22⋊C4—678no—
416C2×C22⋊C4—678no—
417C2×C22⋊C4—678no—
418C2×C22⋊C4—674no—
419C2×C22⋊C4—674no—
420C2×C22⋊C4—678no—
421C2×C22⋊C4—678no—
422C2×C22⋊C4—1348no—
423C2×C22⋊C4—1348no—
424C2×C42—2684no—
425C2×C42—678no—
426C2×C42—678no—
427C2×C42—1348no—
428C2×C42C4×D6718yescomplemented
429C2×C42C22×D6714yes—
430#95—678no—
431#95—678no—
432#95—678no—
433#95C22×D6718yes—
434#95C22×D6718yes—
435C24—674no—
436C24—674no—
437C24—674no—
438C24—672no—
439C24—674no—
440C24—672no—
441C24—1342no—
442C24—1342no—
443C24—1342no—
444C24—1342no—
445C24—1342no—
446C24—1342no—
447C24—1342no—
448C24—1342no—
449C24—1342no—
450C24—1342no—
451C24C23×D6711yescharacteristic
452C2×D4—6716no—
453C2×D4—13432no—
454C2×D4—1348no—
455C2×D4—1348no—
456C22×C4—22no—
457C22×C4—22no—
458C22×C4—22no—
459C22×C4—22no—
460C22×C4—24no—
461C22×C4—24no—
462C22×C4—24no—
463C22×C4—24no—
464C22×C4—24no—
465C22×C4—24no—
466C22×C4—2688no—
467C22×C4—26832no—
468C22×C4—674no—
469C22×C4—674no—
470C22×C4—678no—
471C22×C4—672no—
472C22×C4—672no—
473C22×C4—674no—
474C22×C4—6716no—
475C22×C4—6716no—
476C22×C4—674no—
477C22×C4—13416no—
478C22×C4—13416no—
479C22×C4—1344no—
480C22×C4—1344no—
481C22×C4—1344no—
482C22×C4—1342no—
483C22×C4—1342no—
484C22×C4—1344no—
485C22×C4—1342no—
486C22×C4—1342no—
487C22×C4—1344no—
488C22×C4—13432no—
489C22×C4—13432no—
490C22×C4—1348no—
491C22×C4—1348no—
492C22×C4—1348no—
493C22×C4—1348no—
494C22×C4C2×C4×D6714yes—
495C22×C4C2×C4×D6714yes—
496C22×C4C2×C4×D6714yes—
497C22×C4D4×D6714yes—
498C22×C4#1176162914yes—
499C22×C4C23×D6714yes—
500C22×C4C23×D6714yes—
501C22×C4C23×D6712yes—
502C22×C4C23×D6712yes—
503C22×C4C23×D6712yes—
504C4⋊C4—28no—
505C4⋊C4—28no—
506C4⋊C4—6716no—
507C4⋊C4—6716no—
508C4⋊C4—13416no—
509C4⋊C4—1348no—
510C22⋊C4—2688no—
511C22⋊C4—6716no—
512C22⋊C4—6716no—
513C22⋊C4—13416no—
514C22⋊C4—13416no—
515C42—2688no—
516C42—13416no—
517C42C2×C4×D67116yescomplemented
518C23—2684no—
519C23—2684no—
520C23—2684no—
521C23—2684no—
522C23—6716no—
523C23—674no—
524C23—674no—
525C23—674no—
526C23—674no—
527C23—1348no—
528C23—1348no—
529C23—1348no—
530C23—1342no—
531C23—1342no—
532C23—1342no—
533C23—1342no—
534C23—1342no—
535C23—1342no—
536C23—1348no—
537C23—1348no—
538C23—1348no—
539C23—1348no—
540C23—1348no—
541C23—1348no—
542C23—1342no—
543C23—1342no—
544C23—1342no—
545C23—1342no—
546C23C22×C4×D6712yes—
547C23C2×D4×D6712yes—
548C23#41×D6712yes—
549C23#41×D6712yes—
550C23C2×#1176162912yes—
551C23#1452408912yes—
552C23#1452409012yes—
553C23C24×D6711yescharacteristic
554D4—13432no—
555C2×C4—28no—
556C2×C4—28no—
557C2×C4—22no—
558C2×C4—22no—
559C2×C4—22no—
560C2×C4—22no—
561C2×C4—24no—
562C2×C4—24no—
563C2×C4—24no—
564C2×C4—24no—
565C2×C4—24no—
566C2×C4—24no—
567C2×C4—48no—
568C2×C4—48no—
569C2×C4—26832no—
570C2×C4—2688no—
571C2×C4—674no—
572C2×C4—674no—
573C2×C4—678no—
574C2×C4—1344no—
575C2×C4—1344no—
576C2×C4—1344no—
577C2×C4—13416no—
578C2×C4—1348no—
579C2×C4—1348no—
580C2×C4—1342no—
581C2×C4—1342no—
582C2×C4—1344no—
583C2×C4—1342no—
584C2×C4—1342no—
585C2×C4—1344no—
586C2×C4—13432no—
587C2×C4—13432no—
588C2×C4#14524005116yes—
589C2×C4C22×C4×D6714yes—
590C2×C4C22×C4×D6714yes—
591C2×C4C22×C4×D6714yes—
592C2×C4C2×D4×D6714yes—
593C2×C4C2×#1176162914yes—
594C22—26816no—
595C22—2682no—
596C22—2682no—
597C22—2682no—
598C22—2682no—
599C22—678no—
600C22—1344no—
601C22—1344no—
602C22—1344no—
603C22—13432no—
604C22—1344no—
605C22—1344no—
606C22—1344no—
607C22—1344no—
608C22—1344no—
609C22—1344no—
610C22#117×D6714yes—
611C22C2×#1452400514yes—
612C22#1686387614yes—
613C22#1686403914yes—
614C22#1686405414yes—
615C22#1686408414yes—
616C22#1686409914yes—
617C22C23×C4×D6711yescharacteristic
618C22C22×D4×D6711yescharacteristic
619C22C2×#41×D6711yescharacteristic
620C22C2×#41×D6711yescharacteristic
621C22C22×#1176162911yescharacteristic
622C22C2×#1452408911yescharacteristic
623C22C2×#1452409011yescharacteristic
624C4—24no—
625C4—24no—
626C4—44no—
627C4—44no—
628C4—2684no—
629C4—1344no—
630C4—1344no—
631C4—1348no—
632C4C2×#1452400518yes—
633C2—2684no—
634C2—1348no—
635C2#2256313518yesdirect product factor
636C2C2×#117×D6711yescharacteristic
637C2C22×#1452400511yescharacteristic
638C2C2×#1686387611yescharacteristic
639C2C2×#1686403911yescharacteristic
640C2C2×#1686405411yescharacteristic
641C2C2×#1686408411yescharacteristic
642C2C2×#1686409911yescharacteristic
subgroupG/H
centerC24C23×D67
commutatorC22×C67C24×C4
FrattiniC23C24×D67
FittingC2×#382×C67C2
socleC24×C67C24
prime radicalC23×D268C22
cosocleC23×C67C25
hypercenterC2×#382D67
hypocenterC67C2×#2352
LCSG ▷ C22×C67 ▷ C67
UCSC1 ◁ C24 ◁ C2×#382

Complements

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

NH ≅ G/Ntype
2. C22×#14524001C2semidirect
3. C22×C4⋊C4×D67C2semidirect
4. #22563135C2direct (N × H)
5. C2×#16863285C2semidirect
6. C2×#16863279C2semidirect
8. C2×#16863253C2semidirect
9. C2×#16863253C2semidirect
10. C2×C4×C4⋊Dic67C2semidirect
11. C2×#16863243C2semidirect
12. C2×#382×C67C2semidirect
17. C2×C4×D268C4semidirect
20. C2×#14524001C22semidirect
26. C2×C4⋊C4×D67C22semidirect
34. #16863285C22semidirect
35. #16863279C22semidirect
37. #16863253C22semidirect
38. #16863253C22semidirect
39. C4×C4⋊Dic67C22semidirect
40. #16863243C22semidirect
47. #382×C67C22semidirect
68. C22×C4×D67C2×C4semidirect
72. C4×D268C2×C4semidirect
75. C2×C4⋊Dic67C2×C4semidirect
76. C2×C4⋊Dic67D4semidirect
87. C2×(C2×D67)⋊C4C2×C4semidirect
109. C2×C42×C67C2×C4semidirect
160. C2×C4×D67C22×C4semidirect
162. C4⋊Dic67C22×C4semidirect
163. C4⋊Dic67C2×D4semidirect
169. (C2×D67)⋊C4C22×C4semidirect
195. C42×C67C22×C4semidirect
227. C22×D67#117semidirect
301. C2×D67C2×#117semidirect
312. C2×C67#2352semidirect
329. C2×#382D67semidirect
334. C67C2×#2352semidirect
362. #382C2×D67semidirect
428. C2×C42C4×D67semidirect
517. C42C2×C4×D67semidirect
635. C2#22563135direct (N × H)

Maximal subgroups

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

subgroupindex
C22×C4×D2682
C22×#145240012
C22×C4⋊C4×D672
#225631352
C2×#168632852
C2×#168632792
C2×#168632742
C2×#168632532
C2×C4×C4⋊Dic672
C2×#168632432
C2×#382×C672
C2×#235267