Finite Group Databasebeta

← C2×#21449271 #29847971

Subgroups — C2×#21449271 #29847971

Order 15616.

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×#14519753C211yesmaximal, characteristic, complemented
2C22×C4×C22⋊D61C211yesmaximal, characteristic
3C23×C4⋊Dic61C211yesmaximal, characteristic, complemented
4#21449271C2116yesmaximal, direct product factor
5C2×#16839695C212yesmaximal, complemented
6C2×#16839684C212yesmaximal, complemented
7C2×#16839669C211yesmaximal, characteristic, complemented
8C2×#16839658C211yesmaximal, characteristic, complemented
9C2×#16839639C212yesmaximal
10C2×#16839620C212yesmaximal, complemented
11C2×#16839619C211yesmaximal, characteristic, complemented
12C22×C22⋊Q8×C61C211yesmaximal, characteristic, complemented
13C23×C22⋊D61C2211yescharacteristic
14C24×Dic61C2212yes—
15C23×C4×D61C2211yescharacteristic
16C2×#14519753—28no—
17C2×#14519753C2218yescomplemented
18C2×C4×C22⋊D61—28no—
19C2×C4×C22⋊D61C2218yes—
20C22×C4⋊Dic61—28no—
21C22×C4⋊Dic61C2212yes—
22C22×C4⋊Dic61C2211yescharacteristic
23C22×C4⋊Dic61C2211yescharacteristic
24C22×C4⋊Dic61C2218yescomplemented
25C22×#11758196C2211yescharacteristic
26C22×#11758196C2212yes—
27C22×#11758196C2212yes—
28C22×C22⋊Dic61C2211yescharacteristic
29C22×#11758198C2212yes—
30C22×#11758198C2211yescharacteristic
31C22×#11758198C2212yes—
32C22×C4×Dic61C2211yescharacteristic
33#16839695C22116yescomplemented
34#16839684C22116yescomplemented
35#16839669C2218yescomplemented
36#16839658C2218yescomplemented
37#16839639C22116yes—
38#16839620C22116yescomplemented
39#16839619C2218yescomplemented
40C2×#14519684C2212yes—
41C2×#14519684C2212yes—
42C2×#14519684C2212yes—
43C2×#14519684C2212yes—
44C23×Q8×C61C2211yescharacteristic
45C24×C4×C61C2211yescharacteristic
46C2×C22⋊Q8×C61—28no—
47C2×C22⋊Q8×C61C2218yescomplemented
48C22×C4⋊C4×C61C2211yescharacteristic
49C22×C4⋊C4×C61C2212yes—
50C22×C22⋊C4×C61C2212yes—
51C24×D61C2311yescharacteristic
52C22×C22⋊D61—24no—
53C22×C22⋊D61—24no—
54C22×C22⋊D61Q818yescomplemented
55C22×C22⋊D61C2314yes—
56C23×Dic61—28no—
57C23×Dic61—28no—
58C23×Dic61—44no—
59C23×Dic61C2311yescharacteristic
60C23×Dic61C2312yes—
61C23×Dic61C2311yescharacteristic
62C23×Dic61C2318yes—
63C23×Dic61C2312yes—
64C23×Dic61C2311yescharacteristic
65C22×C4×D61—24no—
66C22×C4×D61—24no—
67C22×C4×D61—24no—
68C22×C4×D61C2314yes—
69#14519753—232no—
70C4×C22⋊D61—232no—
71C2×C4⋊Dic61—24no—
72C2×C4⋊Dic61—28no—
73C2×C4⋊Dic61—232no—
74C2×C4⋊Dic61D418yescomplemented
75C2×C4⋊Dic61C2318yes—
76C2×C4⋊Dic61C2314yes—
77C2×C4⋊Dic61C2314yes—
78C2×#11758196—24no—
79C2×#11758196—28no—
80C2×#11758196—44no—
81C2×#11758196C2314yes—
82C2×#11758196C2318yes—
83C2×#11758196C2318yes—
84C2×C22⋊Dic61—24no—
85C2×C22⋊Dic61C2314yes—
86C2×#11758198—24no—
87C2×#11758198—28no—
88C2×#11758198—44no—
89C2×#11758198C2314yes—
90C2×#11758198C2318yes—
91C2×#11758198C2318yes—
92C2×C4×Dic61—24no—
93C2×C4×Dic61C2314yes—
94#14519684C2318yes—
95#14519684C2318yes—
96#14519684C2318yes—
97#14519684C2318yes—
98C25×C61C2311yescharacteristic
99C22×Q8×C61—24no—
100C22×Q8×C61—24no—
101C22×Q8×C61—24no—
102C22×Q8×C61C2314yes—
103C23×C4×C61—24no—
104C23×C4×C61—24no—
105C23×C4×C61D418yes—
106C23×C4×C61C2312yes—
107C23×C4×C61C2312yes—
108C23×C4×C61C2311yescharacteristic
109C23×C4×C61C2314yes—
110C23×C4×C61C2311yescharacteristic
111C22⋊Q8×C61—232no—
112C2×C4⋊C4×C61—24no—
113C2×C4⋊C4×C61—28no—
114C2×C4⋊C4×C61C2318yes—
115C2×C4⋊C4×C61C2314yes—
116C2×C22⋊C4×C61—28no—
117C2×C22⋊C4×C61C2318yes—
118C24×C61—22no—
119C24×C61—22no—
120C24×C61—22no—
121C24×C61—22no—
122C24×C61C2×D414yes—
123C24×C61C2×Q814yes—
124C24×C61#4114yes—
125C24×C61C2412yes—
126C24×C61C2411yescharacteristic
127C23×D61—22no—
128C23×D61—22no—
129C23×D61—22no—
130C23×D61—22no—
131C23×D61—22no—
132C23×D61—22no—
133C23×D61C2×Q814yes—
134C23×D61C2412yes—
135C2×Q8×C61—28no—
136C2×Q8×C61—28no—
137C2×Q8×C61—28no—
138C2×Q8×C61—416no—
139C22×C4×C61—22no—
140C22×C4×C61—22no—
141C22×C4×C61—232no—
142C22×C4×C61—28no—
143C22×C4×C61—28no—
144C22×C4×C61—24no—
145C22×C4×C61—24no—
146C22×C4×C61—24no—
147C22×C4×C61—24no—
148C22×C4×C61—24no—
149C22×C4×C61—24no—
150C22×C4×C61C2×D414yes—
151C22×C4×C61C2×D4116yes—
152C22×C4×C61C2×D414yes—
153C22×C4×C61C2×D414yes—
154C22×C4×C61#4114yes—
155C22×C4×C61C2414yes—
156C22×C4×C61C2414yes—
157C22×C4×C61C2412yes—
158C22×C4×C61C2412yes—
159C2×C22⋊D61—232no—
160C2×C22⋊D61—28no—
161C2×C22⋊D61—28no—
162C2×C22⋊D61C2×Q8116yescomplemented
163C22×Dic61—22no—
164C22×Dic61—24no—
165C22×Dic61—22no—
166C22×Dic61—24no—
167C22×Dic61—22no—
168C22×Dic61—22no—
169C22×Dic61—24no—
170C22×Dic61—22no—
171C22×Dic61—22no—
172C22×Dic61—216no—
173C22×Dic61—24no—
174C22×Dic61—24no—
175C22×Dic61—22no—
176C22×Dic61—22no—
177C22×Dic61—216no—
178C22×Dic61—48no—
179C22×Dic61—432no—
180C22×Dic61C2×D418yes—
181C22×Dic61C2×Q814yes—
182C22×Dic61C2412yes—
183C22×Dic61C2414yes—
184C22×Dic61C2412yes—
185C22×Dic61C2414yes—
186C22×Dic61C2412yes—
187C2×C4×D61—28no—
188C2×C4×D61—28no—
189C2×C4×D61—28no—
190C2×C4×D61—416no—
191C4⋊C4×C61—28no—
192C4⋊C4×C61—216no—
193C22⋊C4×C61—216no—
194C22⋊Dic61—28no—
195#11758198—28no—
196#11758198—216no—
197#11758198—48no—
198C4⋊Dic61—28no—
199C4⋊Dic61—216no—
200C4⋊Dic61C2×D4116yescomplemented
201#11758196—28no—
202#11758196—216no—
203#11758196—48no—
204C4×Dic61—28no—
205C23×C61—28no—
206C23×C61—28no—
207C23×C61—28no—
208C23×C61—28no—
209C23×C61—28no—
210C23×C61—28no—
211C23×C61—22no—
212C23×C61—22no—
213C23×C61—22no—
214C23×C61—22no—
215C23×C61C22⋊Q8116yescomplemented
216C23×C61C22×D414yes—
217C23×C61C22×D412yes—
218C23×C61C22×D412yes—
219C23×C61C22×Q814yes—
220C23×C61C22×Q812yes—
221C23×C61C2×#4114yes—
222C23×C61C2×#4112yes—
223C23×C61C2×#4112yes—
224C23×C61H(5,𝔽2)12yes—
225C23×C612−1+412yes—
226C23×C61C2511yescharacteristic
227C22×D61—28no—
228C22×D61—28no—
229C22×D61—28no—
230C22×D61—22no—
231C22×D61—22no—
232C22×D61—22no—
233C22×D61—22no—
234C22×D61—22no—
235C22×D61—22no—
236C22×D61—44no—
237C22×D61—44no—
238C22×D61—44no—
239C22×D61—44no—
240C22×D61C22×Q814yes—
241Q8×C61—416no—
242C2×C4×C61—28no—
243C2×C4×C61—22no—
244C2×C4×C61—22no—
245C2×C4×C61—232no—
246C2×C4×C61—24no—
247C2×C4×C61—24no—
248C2×C4×C61—24no—
249C2×C4×C61—24no—
250C2×C4×C61—24no—
251C2×C4×C61—24no—
252C2×C4×C61—48no—
253C2×C4×C61—48no—
254C2×C4×C61#121116yes—
255C2×C4×C61C22×D414yes—
256C2×C4×C61C22×D414yes—
257C2×C4×C61C22×D414yes—
258C2×C4×C61C2×#4114yes—
259C22⋊D61—232no—
260C2×Dic61—28no—
261C2×Dic61—216no—
262C2×Dic61—22no—
263C2×Dic61—24no—
264C2×Dic61—22no—
265C2×Dic61—24no—
266C2×Dic61—22no—
267C2×Dic61—22no—
268C2×Dic61—22no—
269C2×Dic61—24no—
270C2×Dic61—22no—
271C2×Dic61—24no—
272C2×Dic61—22no—
273C2×Dic61—24no—
274C2×Dic61—22no—
275C2×Dic61—432no—
276C2×Dic61—44no—
277C2×Dic61—44no—
278C2×Dic61—48no—
279C2×Dic61C22×D418yes—
280C2×Dic61C22×Q814yes—
281C4×D61—416no—
282C2×#2417—611nomaximal, Sylow
283C22×C61—24no—
284C22×C61—232no—
285C22×C61—24no—
286C22×C61—24no—
287C22×C61—24no—
288C22×C61—24no—
289C22×C61—24no—
290C22×C61C2×#12114yes—
291C22×C61C2×C22⋊Q814yes—
292C22×C61C2×C22⋊Q818yescomplemented
293C22×C61#53714yes—
294C22×C61#54614yes—
295C22×C61D4×Q814yes—
296C22×C61#55214yes—
297C22×C61#55414yes—
298C22×C61C23×D411yescharacteristic
299C22×C61C23×D411yescharacteristic
300C22×C61C23×Q811yescharacteristic
301C22×C61C22×#4111yescharacteristic
302C22×C61C22×#4111yescharacteristic
303C22×C61C2×H(5,𝔽2)11yescharacteristic
304C22×C61C2×2−1+411yescharacteristic
305C2×D61—24no—
306C2×D61—24no—
307C2×D61—24no—
308C2×D61—42no—
309C2×D61—416no—
310C2×D61—42no—
311C2×D61—42no—
312C2×D61—42no—
313C4×C61—24no—
314C4×C61—44no—
315C4×C61—44no—
316C4×C61C2×#12118yes—
317Dic61—24no—
318Dic61—28no—
319Dic61—42no—
320Dic61—42no—
321Dic61—44no—
322C22×C22⋊Q8—611no—
323C22×C22⋊Q8D6111yescharacteristic, complemented
324C22×C4×D4—611no—
325C23×C4⋊C4—611no—
326#2417—6116no—
327C2×#398—612no—
328C2×#396—612no—
329C2×#391—611no—
330C2×#389—611no—
331C2×#386—612no—
332C2×#380—611no—
333C2×#380—612no—
334C2×C61—28no—
335C2×C61#241718yescomplemented
336C2×C61C22×#12111yescharacteristic
337C2×C61C22×C22⋊Q811yescharacteristic
338C2×C61C2×#53711yescharacteristic
339C2×C61C2×#54611yescharacteristic
340C2×C61C2×D4×Q811yescharacteristic
341C2×C61C2×#55211yescharacteristic
342C2×C61C2×#55411yescharacteristic
343D61—44no—
344C23×Q8C2×D6111yescharacteristic
345C23×D4—611no—
346C24×C4—612no—
347C24×C4—611no—
348C24×C4C2×D6111yescharacteristic
349C2×C22⋊Q8—28no—
350C2×C22⋊Q8—618no—
351C2×C22⋊Q8—1228no—
352C2×C22⋊Q8C2×D6118yescomplemented
353C2×C4×D4—618no—
354C2×C4×D4—1228no—
355C22×C4⋊C4—611no—
356C22×C4⋊C4—611no—
357C22×C4⋊C4—612no—
358C22×C4⋊C4—612no—
359C22×C4⋊C4—611no—
360C22×C4⋊C4—618no—
361C22×C4⋊C4—612no—
362C22×C4⋊C4—1228no—
363C22×C4⋊C4C2×D6112yes—
364C22×C4⋊C4C2×D6111yescharacteristic
365C22×C22⋊C4—611no—
366C22×C22⋊C4—611no—
367C22×C22⋊C4—612no—
368C22×C22⋊C4—612no—
369C22×C22⋊C4C2×D6112yes—
370C22×C42—611no—
371#398—6116no—
372#396—6116no—
373#391—618no—
374#389—618no—
375#386—6116no—
376#380—618no—
377#380—6116no—
378C2×#95—612no—
379C2×#95—612no—
380C2×#95—612no—
381C2×#95—612no—
382C61C2×#241711yescharacteristic, complemented, Sylow
383C25—611no—
384C25C22×D6111yescharacteristic
385C22×Q8—24no—
386C22×Q8—24no—
387C22×Q8—24no—
388C22×Q8C22×D6114yes—
389C22×D4—618no—
390C22×D4—614no—
391C22×D4—1224no—
392C22×D4—1224no—
393C23×C4—24no—
394C23×C4—24no—
395C23×C4—612no—
396C23×C4—611no—
397C23×C4—611no—
398C23×C4—611no—
399C23×C4—612no—
400C23×C4—618no—
401C23×C4—614no—
402C23×C4—1228no—
403C23×C4—1228no—
404C23×C4—1224no—
405C23×C4—1224no—
406C23×C4—1224no—
407C23×C4—2444no—
408C23×C4C22⋊D6118yes—
409C23×C4C22×D6112yes—
410C23×C4C22×D6112yes—
411C23×C4C22×D6114yes—
412C23×C4C22×D6111yescharacteristic
413C23×C4C22×D6111yescharacteristic
414C22⋊Q8—232no—
415C22⋊Q8—12232no—
416C4×D4—12232no—
417C2×C4⋊C4—24no—
418C2×C4⋊C4—28no—
419C2×C4⋊C4—618no—
420C2×C4⋊C4—614no—
421C2×C4⋊C4—614no—
422C2×C4⋊C4—618no—
423C2×C4⋊C4—614no—
424C2×C4⋊C4—618no—
425C2×C4⋊C4—618no—
426C2×C4⋊C4—12232no—
427C2×C4⋊C4—1228no—
428C2×C4⋊C4—1228no—
429C2×C4⋊C4—1224no—
430C2×C4⋊C4—1224no—
431C2×C4⋊C4—2444no—
432C2×C4⋊C4C22×D6114yes—
433C2×C4⋊C4C22×D6118yes—
434C2×C22⋊C4—28no—
435C2×C22⋊C4—614no—
436C2×C22⋊C4—614no—
437C2×C22⋊C4—618no—
438C2×C22⋊C4—618no—
439C2×C22⋊C4—1228no—
440C2×C22⋊C4—1224no—
441C2×C22⋊C4—1224no—
442C2×C22⋊C4—2444no—
443C2×C22⋊C4C22×D6118yes—
444C2×C42—614no—
445C2×C42—1224no—
446#95—618no—
447#95—618no—
448#95—618no—
449#95—618no—
450C24—22no—
451C24—22no—
452C24—22no—
453C24—22no—
454C24—614no—
455C24—612no—
456C24—1222no—
457C24—1222no—
458C24—1222no—
459C24—1222no—
460C24—1222no—
461C24—1222no—
462C24Q8×D6114yes—
463C24#1175822614yes—
464C24C2×C22⋊D6114yes—
465C24C23×D6112yes—
466C24C23×D6111yescharacteristic
467C2×Q8—28no—
468C2×Q8—28no—
469C2×Q8—28no—
470C2×Q8—416no—
471C2×D4—6116no—
472C2×D4—1228no—
473C2×D4—1228no—
474C2×D4—12232no—
475C22×C4—22no—
476C22×C4—22no—
477C22×C4—28no—
478C22×C4—28no—
479C22×C4—232no—
480C22×C4—24no—
481C22×C4—24no—
482C22×C4—24no—
483C22×C4—24no—
484C22×C4—24no—
485C22×C4—24no—
486C22×C4—618no—
487C22×C4—614no—
488C22×C4—612no—
489C22×C4—614no—
490C22×C4—614no—
491C22×C4—612no—
492C22×C4—612no—
493C22×C4—12216no—
494C22×C4—1222no—
495C22×C4—1224no—
496C22×C4—1222no—
497C22×C4—1224no—
498C22×C4—1222no—
499C22×C4—1224no—
500C22×C4—1222no—
501C22×C4—1222no—
502C22×C4—1222no—
503C22×C4—12216no—
504C22×C4—1224no—
505C22×C4—1224no—
506C22×C4—1222no—
507C22×C4—1222no—
508C22×C4—1228no—
509C22×C4—1228no—
510C22×C4—1228no—
511C22×C4—2448no—
512C22×C4—24432no—
513C22×C4—24416no—
514C22×C4D4×D6114yes—
515C22×C4#1175822414yes—
516C22×C4C2×C22⋊D6114yes—
517C22×C4C2×C22⋊D61116yes—
518C22×C4C2×C22⋊D6114yes—
519C22×C4C23×D6114yes—
520C22×C4C23×D6114yes—
521C22×C4C23×D6112yes—
522C22×C4C23×D6112yes—
523C4⋊C4—28no—
524C4⋊C4—216no—
525C4⋊C4—6116no—
526C4⋊C4—12216no—
527C4⋊C4—12216no—
528C4⋊C4—1228no—
529C4⋊C4—1228no—
530C4⋊C4—2448no—
531C22⋊C4—216no—
532C22⋊C4—12216no—
533C22⋊C4—1228no—
534C22⋊C4—1228no—
535C22⋊C4—2448no—
536C42—1228no—
537C23—28no—
538C23—28no—
539C23—28no—
540C23—22no—
541C23—22no—
542C23—22no—
543C23—22no—
544C23—28no—
545C23—28no—
546C23—28no—
547C23—614no—
548C23—1228no—
549C23—1228no—
550C23—1222no—
551C23—1222no—
552C23—1222no—
553C23—1222no—
554C23—1222no—
555C23—1222no—
556C23—1228no—
557C23—2444no—
558C23—2444no—
559C23—2444no—
560C23—2444no—
561C23#14519753116yescomplemented
562C23C2×D4×D6112yes—
563C23C22×C22⋊D6114yes—
564C23C22×C22⋊D6112yes—
565C23C2×Q8×D6114yes—
566C23C2×Q8×D6112yes—
567C23C2×#1175822412yes—
568C23C2×#1175822614yes—
569C23C2×#1175822612yes—
570C23#1451982312yes—
571C23#1451982412yes—
572C23C24×D6111yescharacteristic
573Q8—416no—
574D4—12232no—
575C2×C4—28no—
576C2×C4—22no—
577C2×C4—22no—
578C2×C4—232no—
579C2×C4—24no—
580C2×C4—24no—
581C2×C4—24no—
582C2×C4—24no—
583C2×C4—24no—
584C2×C4—24no—
585C2×C4—48no—
586C2×C4—48no—
587C2×C4—618no—
588C2×C4—614no—
589C2×C4—1228no—
590C2×C4—1222no—
591C2×C4—1224no—
592C2×C4—1222no—
593C2×C4—1224no—
594C2×C4—12216no—
595C2×C4—1224no—
596C2×C4—1222no—
597C2×C4—1222no—
598C2×C4—1222no—
599C2×C4—1222no—
600C2×C4—1224no—
601C2×C4—1224no—
602C2×C4—1222no—
603C2×C4—1222no—
604C2×C4—24432no—
605C2×C4—2444no—
606C2×C4—2444no—
607C2×C4—2448no—
608C2×C4—24416no—
609C2×C4#14519749116yes—
610C2×C4C2×D4×D6114yes—
611C2×C4C22×C22⋊D6114yes—
612C2×C4C22×C22⋊D6114yes—
613C2×C4C2×#1175822414yes—
614C22—232no—
615C22—24no—
616C22—24no—
617C22—24no—
618C22—24no—
619C22—24no—
620C22—24no—
621C22—1224no—
622C22—1224no—
623C22—1224no—
624C22—24416no—
625C22—2442no—
626C22—2442no—
627C22—2442no—
628C22—2442no—
629C22C2×#1451974914yes—
630C22C2×#1451975314yes—
631C22C2×#1451975318yescomplemented
632C22#1684034014yes—
633C22#1684040314yes—
634C22#1684042514yes—
635C22#1684045414yes—
636C22#1684047014yes—
637C22C22×D4×D6111yescharacteristic
638C22C23×C22⋊D6111yescharacteristic
639C22C22×Q8×D6111yescharacteristic
640C22C22×#1175822411yescharacteristic
641C22C22×#1175822611yescharacteristic
642C22C2×#1451982311yescharacteristic
643C22C2×#1451982411yescharacteristic
644C4—24no—
645C4—44no—
646C4—44no—
647C4—1228no—
648C4—1224no—
649C4—2444no—
650C4—2442no—
651C4—2442no—
652C4C2×#1451974918yes—
653C2—28no—
654C2—2444no—
655C2#2144927118yesdirect product factor
656C2C22×#1451974911yescharacteristic
657C2C22×#1451975311yescharacteristic
658C2C2×#1684034011yescharacteristic
659C2C2×#1684040311yescharacteristic
660C2C2×#1684042511yescharacteristic
661C2C2×#1684045411yescharacteristic
662C2C2×#1684047011yescharacteristic
subgroupG/H
centerC24C23×D61
commutator, cosocleC23×C61C25
FrattiniC23C24×D61
FittingC22×C22⋊Q8×C61C2
socleC24×C61C24
prime radicalC23×C22⋊D61C22
hypercenterC22×C22⋊Q8D61
hypocenterC61C2×#2417
LCSG ▷ C23×C61 ▷ C61
UCSC1 ◁ C24 ◁ C22×C22⋊Q8

Complements

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

NH ≅ G/Ntype
1. C22×#14519753C2semidirect
3. C23×C4⋊Dic61C2semidirect
4. #21449271C2direct (N × H)
5. C2×#16839695C2semidirect
6. C2×#16839684C2semidirect
7. C2×#16839669C2semidirect
8. C2×#16839658C2semidirect
10. C2×#16839620C2semidirect
11. C2×#16839619C2semidirect
12. C22×C22⋊Q8×C61C2semidirect
17. C2×#14519753C22semidirect
24. C22×C4⋊Dic61C22semidirect
33. #16839695C22semidirect
34. #16839684C22semidirect
35. #16839669C22semidirect
36. #16839658C22semidirect
38. #16839620C22semidirect
39. #16839619C22semidirect
47. C2×C22⋊Q8×C61C22semidirect
54. C22×C22⋊D61Q8semidirect
74. C2×C4⋊Dic61D4semidirect
162. C2×C22⋊D61C2×Q8semidirect
200. C4⋊Dic61C2×D4semidirect
215. C23×C61C22⋊Q8semidirect
292. C22×C61C2×C22⋊Q8semidirect
323. C22×C22⋊Q8D61semidirect
335. C2×C61#2417semidirect
352. C2×C22⋊Q8C2×D61semidirect
382. C61C2×#2417semidirect
561. C23#14519753semidirect
631. C22C2×#14519753semidirect
655. C2#21449271direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#145197532
C22×C4×C22⋊D612
C23×C4⋊Dic612
#214492712
C2×#168396952
C2×#168396842
C2×#168396692
C2×#168396582
C2×#168396392
C2×#168396202
C2×#168396192
C22×C22⋊Q8×C612
C2×#241761