Finite Group Databasebeta

← C2×#22563662 #31023788

Subgroups — C2×#22563662 #31023788

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×#14524022C211yesmaximal, characteristic, complemented
3C22×C4×C22⋊D67C211yesmaximal, characteristic
4C22×C4⋊C4×D67C211yesmaximal, characteristic, complemented
5#22563662C2116yesmaximal, direct product factor
6C2×#16863330C212yesmaximal, complemented
7C2×#16863319C212yesmaximal, complemented
8C2×#16863301C211yesmaximal, characteristic, complemented
9C2×#16863292C211yesmaximal, characteristic, complemented
10C2×#16863272C212yesmaximal
11C2×#16863255C212yesmaximal, complemented
12C2×#380×C67C211yesmaximal, characteristic, complemented
13C23×Dic134C2211yescharacteristic
14C23×C22⋊D67C2211yescharacteristic
15C23×C4×D67C2212yes—
16C23×C4×D67C2211yescharacteristic
17C2×#14524023—28no—
18C2×#14524023C2218yescomplemented
19C2×#14524022—28no—
20C2×#14524022C2218yescomplemented
21C2×C4×C22⋊D67—28no—
22C2×C4×C22⋊D67C2218yes—
23C22×C4⋊Dic67C2212yes—
24C22×C4⋊Dic67C2211yescharacteristic
25C22×Dic67⋊C4C2212yes—
26C22×Dic67⋊C4C2212yes—
27C22×Dic67⋊C4C2211yescharacteristic
28C22×Dic67⋊C4C2212yes—
29C2×C4⋊C4×D67—28no—
30C2×C4⋊C4×D67C2218yescomplemented
31C22×C22⋊Dic67C2212yes—
32C22×C22⋊Dic67C2211yescharacteristic
33C22×(C2×D67)⋊C4C2211yescharacteristic
34C22×(C2×D67)⋊C4C2212yes—
35C22×C4×Dic67C2211yescharacteristic
36#16863330C22116yescomplemented
37#16863319C22116yescomplemented
38#16863301C2218yescomplemented
39#16863292C2218yescomplemented
40#16863272C22116yes—
41#16863255C22116yescomplemented
42C2×C67⋊#95C2212yes—
43C2×C67⋊#95C2212yes—
44C2×C67⋊#95C2212yes—
45C24×C4×C67C2211yescharacteristic
46C22×C4⋊C4×C67C2211yescharacteristic
47C22×C4⋊C4×C67C2211yescharacteristic
48C22×C22⋊C4×C67C2212yes—
49#380×C67C2218yescomplemented
50C2×#95×C67C2212yes—
51C24×D67C2311yescharacteristic
52C22×Dic134—24no—
53C22×Dic134—24no—
54C22×Dic134—24no—
55C22×Dic134C2314yes—
56C22×C22⋊D67—24no—
57C22×C22⋊D67—24no—
58C22×C22⋊D67Q818yescomplemented
59C22×C22⋊D67C2314yes—
60C23×Dic67C2311yescharacteristic
61C23×Dic67C2312yes—
62C23×Dic67C2312yes—
63C23×Dic67C2311yescharacteristic
64C23×Dic67C2311yescharacteristic
65C22×C4×D67—28no—
66C22×C4×D67—28no—
67C22×C4×D67—24no—
68C22×C4×D67—24no—
69C22×C4×D67—44no—
70C22×C4×D67D418yes—
71C22×C4×D67C2318yes—
72C22×C4×D67C2314yes—
73#14524023—232no—
74#14524022—232no—
75C4×C22⋊D67—232no—
76C2×C4⋊Dic67—28no—
77C2×C4⋊Dic67D418yescomplemented
78C2×C4⋊Dic67C2318yes—
79C2×C4⋊Dic67C2314yes—
80C2×Dic67⋊C4—28no—
81C2×Dic67⋊C4—24no—
82C2×Dic67⋊C4—28no—
83C2×Dic67⋊C4—44no—
84C2×Dic67⋊C4C2318yes—
85C2×Dic67⋊C4C2318yes—
86C2×Dic67⋊C4C2314yes—
87C2×Dic67⋊C4C2318yes—
88C4⋊C4×D67—232no—
89C2×C22⋊Dic67—24no—
90C2×C22⋊Dic67—28no—
91C2×C22⋊Dic67C2318yes—
92C2×C22⋊Dic67C2314yes—
93C2×(C2×D67)⋊C4—24no—
94C2×(C2×D67)⋊C4—28no—
95C2×(C2×D67)⋊C4C2314yes—
96C2×(C2×D67)⋊C4C2318yes—
97C2×C4×Dic67—24no—
98C2×C4×Dic67C2314yes—
99C67⋊#95C2318yes—
100C67⋊#95C2318yes—
101C67⋊#95C2318yes—
102C25×C67C2311yescharacteristic
103C23×C4×C67—24no—
104C23×C4×C67—24no—
105C23×C4×C67—24no—
106C23×C4×C67C2312yes—
107C23×C4×C67C2312yes—
108C23×C4×C67C2311yescharacteristic
109C23×C4×C67C2314yes—
110C23×C4×C67C2311yescharacteristic
111C2×C4⋊C4×C67—24no—
112C2×C4⋊C4×C67—24no—
113C2×C4⋊C4×C67C2314yes—
114C2×C4⋊C4×C67C2314yes—
115C2×C22⋊C4×C67—44no—
116C2×C22⋊C4×C67C2318yes—
117#95×C67C2318yes—
118C23×D67—22no—
119C23×D67—22no—
120C23×D67—22no—
121C23×D67—22no—
122C23×D67C2×D414yes—
123C23×D67C2×Q814yes—
124C23×D67#4114yes—
125C23×D67C2412yes—
126C2×Dic134—28no—
127C2×Dic134—28no—
128C2×Dic134—28no—
129C2×Dic134—416no—
130C2×C22⋊D67—232no—
131C2×C22⋊D67—28no—
132C2×C22⋊D67—28no—
133C2×C22⋊D67C2×Q8116yescomplemented
134C22×Dic67—22no—
135C22×Dic67—22no—
136C22×Dic67—24no—
137C22×Dic67—22no—
138C22×Dic67—22no—
139C22×Dic67—24no—
140C22×Dic67—22no—
141C22×Dic67—24no—
142C22×Dic67—24no—
143C22×Dic67—24no—
144C22×Dic67—22no—
145C22×Dic67—22no—
146C22×Dic67C2×D418yes—
147C22×Dic67C2×D414yes—
148C22×Dic67C2×Q814yes—
149C22×Dic67C2412yes—
150C22×Dic67C2414yes—
151C22×Dic67C2414yes—
152C22×Dic67C2412yes—
153C22×Dic67C2412yes—
154C2×C4×D67—232no—
155C2×C4×D67—28no—
156C2×C4×D67—28no—
157C2×C4×D67—216no—
158C2×C4×D67—216no—
159C2×C4×D67—48no—
160C2×C4×D67—432no—
161C2×C4×D67C2×D4116yes—
162C4⋊Dic67—216no—
163C4⋊Dic67C2×D4116yescomplemented
164Dic67⋊C4—216no—
165Dic67⋊C4—28no—
166Dic67⋊C4—216no—
167Dic67⋊C4—48no—
168C22⋊Dic67—28no—
169C22⋊Dic67—216no—
170(C2×D67)⋊C4—28no—
171(C2×D67)⋊C4—216no—
172C4×Dic67—28no—
173C24×C67—22no—
174C24×C67—22no—
175C24×C67—22no—
176C24×C67—22no—
177C24×C67—22no—
178C24×C67—22no—
179C24×C67C2×Q814yes—
180C24×C67C2412yes—
181C24×C67C2411yescharacteristic
182C22×C4×C67—24no—
183C22×C4×C67—24no—
184C22×C4×C67—22no—
185C22×C4×C67—22no—
186C22×C4×C67—22no—
187C22×C4×C67—24no—
188C22×C4×C67—24no—
189C22×C4×C67—24no—
190C22×C4×C67—24no—
191C22×C4×C67—28no—
192C22×C4×C67—28no—
193C22×C4×C67—28no—
194C22×C4×C67—416no—
195C22×C4×C67C2×D414yes—
196C22×C4×C67C2×D414yes—
197C22×C4×C67#4114yes—
198C22×C4×C67C2414yes—
199C22×C4×C67C2414yes—
200C22×C4×C67C2412yes—
201C22×C4×C67C2412yes—
202C4⋊C4×C67—28no—
203C4⋊C4×C67—28no—
204C22⋊C4×C67—48no—
205C23×C67—28no—
206C23×C67—28no—
207C23×C67—28no—
208C23×C67—22no—
209C23×C67—22no—
210C23×C67—22no—
211C23×C67—22no—
212C23×C67—22no—
213C23×C67—22no—
214C23×C67—44no—
215C23×C67—44no—
216C23×C67—44no—
217C23×C67—44no—
218C23×C67C22×D412yes—
219C23×C67C22×D412yes—
220C23×C67C22×Q814yes—
221C23×C67C22×Q812yes—
222C23×C67C2×#4112yes—
223C23×C67C2×#4112yes—
224C23×C67H(5,𝔽2)12yes—
225C23×C672−1+412yes—
226C23×C67C2511yescharacteristic
227C22×D67—28no—
228C22×D67—28no—
229C22×D67—28no—
230C22×D67—28no—
231C22×D67—28no—
232C22×D67—28no—
233C22×D67—22no—
234C22×D67—22no—
235C22×D67—22no—
236C22×D67—22no—
237C22×D67C22⋊Q8116yescomplemented
238C22×D67C22×D414yes—
239C22×D67C22×Q814yes—
240C22×D67C2×#4114yes—
241C2×C4×C67—24no—
242C2×C4×C67—24no—
243C2×C4×C67—22no—
244C2×C4×C67—22no—
245C2×C4×C67—22no—
246C2×C4×C67—24no—
247C2×C4×C67—24no—
248C2×C4×C67—24no—
249C2×C4×C67—24no—
250C2×C4×C67—44no—
251C2×C4×C67—48no—
252C2×C4×C67—48no—
253C2×C4×C67—416no—
254C2×C4×C67#121116yes—
255C2×C4×C67C22×D414yes—
256C2×C4×C67C22×D414yes—
257C2×C4×C67C2×#4114yes—
258C22⋊D67—232no—
259C2×Dic67—28no—
260C2×Dic67—28no—
261C2×Dic67—216no—
262C2×Dic67—22no—
263C2×Dic67—22no—
264C2×Dic67—24no—
265C2×Dic67—22no—
266C2×Dic67—22no—
267C2×Dic67—24no—
268C2×Dic67—22no—
269C2×Dic67—24no—
270C2×Dic67—24no—
271C2×Dic67—24no—
272C2×Dic67—22no—
273C2×Dic67—22no—
274C2×Dic67—48no—
275C2×Dic67—44no—
276C2×Dic67C22×D418yes—
277C2×Dic67C22×D414yes—
278C2×Dic67C22×Q814yes—
279C4×D67—232no—
280C4×D67—432no—
281Dic134—416no—
282C22×C67—24no—
283C22×C67—24no—
284C22×C67—24no—
285C22×C67—42no—
286C22×C67—416no—
287C22×C67—42no—
288C22×C67—42no—
289C22×C67—42no—
290C22×C67C2×#12114yes—
291C22×C67C2×C22⋊Q814yes—
292C22×C67#53714yes—
293C22×C67#54614yes—
294C22×C67D4×Q814yes—
295C22×C67#55214yes—
296C22×C67#55414yes—
297C22×C67C23×D411yescharacteristic
298C22×C67C23×D411yescharacteristic
299C22×C67C23×Q811yescharacteristic
300C22×C67C22×#4111yescharacteristic
301C22×C67C22×#4111yescharacteristic
302C22×C67C2×H(5,𝔽2)11yescharacteristic
303C22×C67C2×2−1+411yescharacteristic
304C2×D67—24no—
305C2×D67—232no—
306C2×D67—24no—
307C2×D67—24no—
308C2×D67—24no—
309C2×D67—24no—
310C2×D67—24no—
311C2×D67C2×C22⋊Q818yescomplemented
312C4×C67—42no—
313C4×C67—44no—
314C4×C67—44no—
315C4×C67C2×#12118yes—
316Dic67—24no—
317Dic67—24no—
318Dic67—28no—
319Dic67—44no—
320Dic67—42no—
321C2×#2417—671nomaximal, Sylow
322C2×C67—44no—
323C2×C67#241718yescomplemented
324C2×C67C22×#12111yescharacteristic
325C2×C67C22×C22⋊Q811yescharacteristic
326C2×C67C2×#53711yescharacteristic
327C2×C67C2×#54611yescharacteristic
328C2×C67C2×D4×Q811yescharacteristic
329C2×C67C2×#55211yescharacteristic
330C2×C67C2×#55411yescharacteristic
331D67—28no—
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×#389—671no—
341C2×#386—672no—
342C2×#380—672no—
343C2×#380D6711yescharacteristic, complemented
344C67C2×#241711yescharacteristic, complemented, Sylow
345C23×Q8—671no—
346C23×D4—671no—
347C24×C4—672no—
348C24×C4—671no—
349C24×C4C2×D6711yescharacteristic
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—671no—
358C22×C4⋊C4—672no—
359C22×C4⋊C4—672no—
360C22×C4⋊C4—671no—
361C22×C4⋊C4—672no—
362C22×C4⋊C4—678no—
363C22×C4⋊C4—1348no—
364C22×C4⋊C4C2×D6711yescharacteristic
365C22×C4⋊C4C2×D6711yescharacteristic
366C22×C22⋊C4—671no—
367C22×C22⋊C4—672no—
368C22×C22⋊C4—671no—
369C22×C22⋊C4—672no—
370C22×C22⋊C4C2×D6712yes—
371C22×C42—671no—
372#398—6716no—
373#396—6716no—
374#391—678no—
375#389—678no—
376#386—6716no—
377#380—6716no—
378#380C2×D6718yescomplemented
379C2×#95—672no—
380C2×#95—672no—
381C2×#95—672no—
382C2×#95C2×D6712yes—
383C25—671no—
384C25C22×D6711yescharacteristic
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—24no—
394C23×C4—24no—
395C23×C4—24no—
396C23×C4—2684no—
397C23×C4—678no—
398C23×C4—671no—
399C23×C4—672no—
400C23×C4—671no—
401C23×C4—678no—
402C23×C4—674no—
403C23×C4—672no—
404C23×C4—671no—
405C23×C4—1348no—
406C23×C4—1348no—
407C23×C4—1344no—
408C23×C4—1344no—
409C23×C4C22×D6714yes—
410C23×C4C22×D6712yes—
411C23×C4C22×D6711yescharacteristic
412C23×C4C22×D6712yes—
413C23×C4C22×D6711yescharacteristic
414C22⋊Q8—13432no—
415C22⋊Q8—13432no—
416C4×D4—13432no—
417C2×C4⋊C4—24no—
418C2×C4⋊C4—24no—
419C2×C4⋊C4—2684no—
420C2×C4⋊C4—678no—
421C2×C4⋊C4—678no—
422C2×C4⋊C4—674no—
423C2×C4⋊C4—678no—
424C2×C4⋊C4—674no—
425C2×C4⋊C4—678no—
426C2×C4⋊C4—678no—
427C2×C4⋊C4—13432no—
428C2×C4⋊C4—1348no—
429C2×C4⋊C4—1344no—
430C2×C4⋊C4—1348no—
431C2×C4⋊C4—1348no—
432C2×C4⋊C4C22×D6714yes—
433C2×C4⋊C4C22×D6714yes—
434C2×C22⋊C4—44no—
435C2×C22⋊C4—674no—
436C2×C22⋊C4—678no—
437C2×C22⋊C4—674no—
438C2×C22⋊C4—678no—
439C2×C22⋊C4—1344no—
440C2×C22⋊C4—1348no—
441C2×C22⋊C4—1344no—
442C2×C22⋊C4—1348no—
443C2×C22⋊C4C22×D6718yes—
444C2×C42—674no—
445C2×C42—1344no—
446#95—678no—
447#95—678no—
448#95—678no—
449#95C22×D6718yes—
450C24—22no—
451C24—22no—
452C24—22no—
453C24—22no—
454C24—22no—
455C24—22no—
456C24—674no—
457C24—674no—
458C24—674no—
459C24—672no—
460C24—1342no—
461C24—1342no—
462C24—1342no—
463C24—1342no—
464C24Q8×D6714yes—
465C24C23×D6712yes—
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—24no—
476C22×C4—22no—
477C22×C4—24no—
478C22×C4—22no—
479C22×C4—24no—
480C22×C4—22no—
481C22×C4—24no—
482C22×C4—24no—
483C22×C4—24no—
484C22×C4—28no—
485C22×C4—28no—
486C22×C4—28no—
487C22×C4—416no—
488C22×C4—2688no—
489C22×C4—26832no—
490C22×C4—678no—
491C22×C4—674no—
492C22×C4—674no—
493C22×C4—672no—
494C22×C4—674no—
495C22×C4—672no—
496C22×C4—6716no—
497C22×C4—672no—
498C22×C4—674no—
499C22×C4—13416no—
500C22×C4—13416no—
501C22×C4—1342no—
502C22×C4—1344no—
503C22×C4—1344no—
504C22×C4—1344no—
505C22×C4—1342no—
506C22×C4—1342no—
507C22×C4—1342no—
508C22×C4—1342no—
509C22×C4—1344no—
510C22×C4—1342no—
511C22×C4—1342no—
512C22×C4—1344no—
513C22×C4—13432no—
514C22×C4—1348no—
515C22×C4—1348no—
516C22×C4D4×D6714yes—
517C22×C4D4×D6714yes—
518C22×C4#1176162814yes—
519C22×C4C23×D6714yes—
520C22×C4C23×D6714yes—
521C22×C4C23×D6712yes—
522C22×C4C23×D6712yes—
523C4⋊C4—28no—
524C4⋊C4—28no—
525C4⋊C4—2688no—
526C4⋊C4—6716no—
527C4⋊C4—13416no—
528C4⋊C4—1348no—
529C4⋊C4—13416no—
530C4⋊C4—13416no—
531C22⋊C4—48no—
532C22⋊C4—1348no—
533C22⋊C4—13416no—
534C22⋊C4—1348no—
535C22⋊C4—13416no—
536C42—1348no—
537C23—28no—
538C23—28no—
539C23—28no—
540C23—22no—
541C23—22no—
542C23—22no—
543C23—22no—
544C23—22no—
545C23—22no—
546C23—44no—
547C23—44no—
548C23—44no—
549C23—44no—
550C23—6716no—
551C23—674no—
552C23—674no—
553C23—674no—
554C23—1348no—
555C23—1348no—
556C23—1348no—
557C23—1348no—
558C23—1348no—
559C23—1342no—
560C23—1342no—
561C23—1342no—
562C23—1342no—
563C23—1348no—
564C23C2×D4×D6712yes—
565C23C2×D4×D6712yes—
566C23C2×Q8×D6714yes—
567C23C2×Q8×D6712yes—
568C23#41×D6712yes—
569C23C2×#1176162812yes—
570C23#1452408812yes—
571C23#1452409012yes—
572C23C24×D6711yescharacteristic
573Q8—26816no—
574D4—13432no—
575C2×C4—24no—
576C2×C4—22no—
577C2×C4—24no—
578C2×C4—22no—
579C2×C4—24no—
580C2×C4—22no—
581C2×C4—24no—
582C2×C4—24no—
583C2×C4—24no—
584C2×C4—48no—
585C2×C4—44no—
586C2×C4—48no—
587C2×C4—416no—
588C2×C4—26832no—
589C2×C4—2688no—
590C2×C4—2684no—
591C2×C4—678no—
592C2×C4—674no—
593C2×C4—674no—
594C2×C4—1342no—
595C2×C4—1344no—
596C2×C4—1344no—
597C2×C4—1344no—
598C2×C4—1342no—
599C2×C4—1342no—
600C2×C4—13416no—
601C2×C4—1348no—
602C2×C4—1348no—
603C2×C4—1342no—
604C2×C4—1342no—
605C2×C4—1344no—
606C2×C4—1342no—
607C2×C4—1342no—
608C2×C4—1344no—
609C2×C4—13432no—
610C2×C4#14524016116yes—
611C2×C4C2×D4×D6714yes—
612C2×C4C2×D4×D6714yes—
613C2×C4C2×#1176162814yes—
614C22—24no—
615C22—24no—
616C22—24no—
617C22—416no—
618C22—42no—
619C22—42no—
620C22—42no—
621C22—42no—
622C22—678no—
623C22—13432no—
624C22—1344no—
625C22—1344no—
626C22—1344no—
627C22—1344no—
628C22—1344no—
629C22—1344no—
630C22C2×#1452401614yes—
631C22C22⋊Q8×D6714yes—
632C22#1686397514yes—
633C22#1686404314yes—
634C22#1686405914yes—
635C22#1686408514yes—
636C22#1686410114yes—
637C22C22×D4×D6711yescharacteristic
638C22C22×D4×D6711yescharacteristic
639C22C22×Q8×D6711yescharacteristic
640C22C2×#41×D6711yescharacteristic
641C22C22×#1176162811yescharacteristic
642C22C2×#1452408811yescharacteristic
643C22C2×#1452409011yescharacteristic
644C4—44no—
645C4—42no—
646C4—44no—
647C4—2684no—
648C4—2682no—
649C4—1348no—
650C4—1344no—
651C4—1344no—
652C4C2×#1452401618yes—
653C2—44no—
654C2—1348no—
655C2#2256366218yesdirect product factor
656C2C22×#1452401611yescharacteristic
657C2C2×C22⋊Q8×D6711yescharacteristic
658C2C2×#1686397511yescharacteristic
659C2C2×#1686404311yescharacteristic
660C2C2×#1686405911yescharacteristic
661C2C2×#1686408511yescharacteristic
662C2C2×#1686410111yescharacteristic
subgroupG/H
centerC24C23×D67
commutator, cosocleC23×C67C25
FrattiniC23C24×D67
FittingC2×#380×C67C2
socleC24×C67C24
prime radicalC23×C22⋊D67C22
hypercenterC2×#380D67
hypocenterC67C2×#2417
LCSG ▷ C23×C67 ▷ C67
UCSC1 ◁ C24 ◁ C2×#380

Complements

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

NH ≅ G/Ntype
1. C22×#14524023C2semidirect
2. C22×#14524022C2semidirect
4. C22×C4⋊C4×D67C2semidirect
5. #22563662C2direct (N × H)
6. C2×#16863330C2semidirect
7. C2×#16863319C2semidirect
8. C2×#16863301C2semidirect
9. C2×#16863292C2semidirect
11. C2×#16863255C2semidirect
12. C2×#380×C67C2semidirect
18. C2×#14524023C22semidirect
20. C2×#14524022C22semidirect
30. C2×C4⋊C4×D67C22semidirect
36. #16863330C22semidirect
37. #16863319C22semidirect
38. #16863301C22semidirect
39. #16863292C22semidirect
41. #16863255C22semidirect
49. #380×C67C22semidirect
58. C22×C22⋊D67Q8semidirect
77. C2×C4⋊Dic67D4semidirect
133. C2×C22⋊D67C2×Q8semidirect
163. C4⋊Dic67C2×D4semidirect
237. C22×D67C22⋊Q8semidirect
311. C2×D67C2×C22⋊Q8semidirect
323. C2×C67#2417semidirect
343. C2×#380D67semidirect
344. C67C2×#2417semidirect
378. #380C2×D67semidirect
655. C2#22563662direct (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×#145240222
C22×C4×C22⋊D672
C22×C4⋊C4×D672
#225636622
C2×#168633302
C2×#168633192
C2×#168633012
C2×#168632922
C2×#168632722
C2×#168632552
C2×#380×C672
C2×#241767