Finite Group Databasebeta

← #29602769

Subgroups — #29602769

Order 15616.

2150 conjugacy classes of subgroups.

The subgroup lattice has 712 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16839637C211yesmaximal, characteristic
2C2×#16839635C211yesmaximal, characteristic
3C2×#16839634C211yesmaximal, characteristic
4C2×#16839620C211yesmaximal, characteristic
5C2×C22⋊C4×Dic61C211yesmaximal, characteristic
6C22×#14519684C211yesmaximal, characteristic
7#21444083C212yesmaximal, complemented
8#21444082C212yesmaximal, complemented
9#21444048C212yesmaximal, complemented
10#21444047C212yesmaximal, complemented
11C2×C61×#385C211yesmaximal, characteristic
12C24×Dic61C2211yescharacteristic
13C24×Dic61C2211yescharacteristic
14C22×C4⋊Dic61C2212yes—
15C22×#11758196C2212yes—
16C22×#11758196C2212yes—
17C22×#11758196C2211yescharacteristic
18C22×#11758196C2211yescharacteristic
19C22×C22⋊Dic61C2211yescharacteristic
20C22×C22⋊Dic61C2211yescharacteristic
21C22×C4×Dic61C2212yes—
22#16839637—24no—
23#16839635—24no—
24#16839634—24no—
25#16839620—24no—
26C22⋊C4×Dic61C418yescomplemented
27C2×#14519684—24no—
28C2×#14519684C2212yes—
29C2×#14519684C2212yes—
30C2×#14519684C2212yes—
31C2×#14519684C2211yescharacteristic
32C2×#14519684C2212yes—
33C2×#14519684C2212yes—
34C2×#14519684C2211yescharacteristic
35C2×#14519684C2212yes—
36C24×C4×C61C2211yescharacteristic
37C22×C4⋊C4×C61C2212yes—
38C22×C22⋊C4×C61C2211yescharacteristic
39C22×C22⋊C4×C61C2211yescharacteristic
40C61×#385—24no—
41C2×#95×C61C2212yes—
42C23×Dic61—22no—
43C23×Dic61—24no—
44C23×Dic61—22no—
45C23×Dic61—22no—
46C23×Dic61—42no—
47C23×Dic61—42no—
48C23×Dic61—42no—
49C23×Dic61C2×C414yes—
50C23×Dic61D414yes—
51C23×Dic61Q814yes—
52C23×Dic61C2311yescharacteristic
53C23×Dic61C2311yescharacteristic
54C23×Dic61C2312yes—
55C23×Dic61C2311yescharacteristic
56C23×Dic61C2312yes—
57C23×Dic61C2311yescharacteristic
58C2×C4⋊Dic61—24no—
59C2×C4⋊Dic61—24no—
60C2×C4⋊Dic61—42no—
61C2×#11758196—24no—
62C2×#11758196—22no—
63C2×#11758196—22no—
64C2×#11758196—24no—
65C2×#11758196—24no—
66C2×#11758196—24no—
67C2×#11758196—42no—
68C2×#11758196—42no—
69C2×#11758196—42no—
70C2×#11758196—42no—
71C2×C22⋊Dic61—22no—
72C2×C22⋊Dic61—22no—
73C2×C22⋊Dic61—22no—
74C2×C22⋊Dic61C2×C414yes—
75C2×C22⋊Dic61D414yes—
76C2×C22⋊Dic61Q814yes—
77C2×C4×Dic61—42no—
78C2×C4×Dic61—42no—
79C2×C4×Dic61C2×C418yescomplemented
80#14519684—24no—
81#14519684—24no—
82#14519684—24no—
83#14519684—22no—
84#14519684—22no—
85#14519684—24no—
86#14519684—24no—
87#14519684C2×C418yescomplemented
88C25×C61C2311yescharacteristic
89C23×C4×C61—22no—
90C23×C4×C61—24no—
91C23×C4×C61—22no—
92C23×C4×C61—22no—
93C23×C4×C61—42no—
94C23×C4×C61C2311yescharacteristic
95C23×C4×C61C2311yescharacteristic
96C23×C4×C61C2312yes—
97C23×C4×C61C2312yes—
98C2×C4⋊C4×C61—24no—
99C2×C4⋊C4×C61—24no—
100C2×C4⋊C4×C61—42no—
101C2×C22⋊C4×C61—22no—
102C2×C22⋊C4×C61—22no—
103C2×C22⋊C4×C61—22no—
104C2×C22⋊C4×C61C2×C414yes—
105C2×C22⋊C4×C61D414yes—
106C2×C22⋊C4×C61Q814yes—
107#95×C61—24no—
108C24×C61—22no—
109C24×C61—22no—
110C24×C61—22no—
111C24×C61—22no—
112C24×C61C22×C412yes—
113C24×C61C2×D412yes—
114C24×C61C2×D412yes—
115C24×C61C2×D412yes—
116C24×C61C2×Q812yes—
117C24×C61C2×Q812yes—
118C24×C61C2×Q812yes—
119C24×C61C2411yescharacteristic
120C22×C4×C61—22no—
121C22×C4×C61—22no—
122C22×C4×C61—22no—
123C22×C4×C61—22no—
124C22×C4×C61—28no—
125C22×C4×C61—22no—
126C22×C4×C61—22no—
127C22×C4×C61—22no—
128C22×C4×C61—22no—
129C22×C4×C61—22no—
130C22×C4×C61—22no—
131C22×C4×C61—21no—
132C22×C4×C61—21no—
133C22×C4×C61—21no—
134C22×C4×C61—21no—
135C22×C4×C61—21no—
136C22×C4×C61—21no—
137C22×C4×C61—22no—
138C22×C4×C61—22no—
139C22×C4×C61—22no—
140C22×C4×C61—22no—
141C22×C4×C61—48no—
142C22×C4×C61—48no—
143C22×C4×C61—44no—
144C22×C4×C61—44no—
145C22×C4×C61C22×C414yes—
146C22×C4×C61C2×D414yes—
147C22×C4×C61C2×Q814yes—
148C22×C4×C61#4114yes—
149C22×Dic61—22no—
150C22×Dic61—22no—
151C22×Dic61—22no—
152C22×Dic61—22no—
153C22×Dic61—22no—
154C22×Dic61—22no—
155C22×Dic61—22no—
156C22×Dic61—22no—
157C22×Dic61—28no—
158C22×Dic61—22no—
159C22×Dic61—22no—
160C22×Dic61—22no—
161C22×Dic61—22no—
162C22×Dic61—22no—
163C22×Dic61—22no—
164C22×Dic61—21no—
165C22×Dic61—21no—
166C22×Dic61—21no—
167C22×Dic61—21no—
168C22×Dic61—21no—
169C22×Dic61—21no—
170C22×Dic61—22no—
171C22×Dic61—22no—
172C22×Dic61—22no—
173C22×Dic61—22no—
174C22×Dic61—48no—
175C22×Dic61—44no—
176C22×Dic61—44no—
177C22×Dic61—48no—
178C22×Dic61—48no—
179C22×Dic61—48no—
180C22×Dic61—44no—
181C22×Dic61—44no—
182C22×Dic61C4⋊C4116yescomplemented
183C22×Dic61C22×C412yes—
184C22×Dic61C22×C412yes—
185C22×Dic61C22×C414yes—
186C22×Dic61C2×D412yes—
187C22×Dic61C2×D412yes—
188C22×Dic61C2×D414yes—
189C22×Dic61C2×Q812yes—
190C22×Dic61C2×Q812yes—
191C22×Dic61C2×Q814yes—
192C22×Dic61#4114yes—
193C4⋊C4×C61—48no—
194C22⋊C4×C61—44no—
195C22⋊C4×C61C4⋊C4116yescomplemented
196C22⋊Dic61—44no—
197C22⋊Dic61C4⋊C4116yescomplemented
198C4⋊Dic61—48no—
199#11758196—48no—
200#11758196—48no—
201#11758196—44no—
202#11758196—44no—
203C4×Dic61—48no—
204C23×C61—24no—
205C23×C61—24no—
206C23×C61—22no—
207C23×C61—22no—
208C23×C61—24no—
209C23×C61—22no—
210C23×C61—22no—
211C23×C61—24no—
212C23×C61—24no—
213C23×C61—24no—
214C23×C61—24no—
215C23×C61—24no—
216C23×C61—24no—
217C23×C61—24no—
218C23×C61—24no—
219C23×C61—24no—
220C23×C61C2×C4⋊C414yes—
221C23×C61C2×C4⋊C414yes—
222C23×C61C2×C4⋊C414yes—
223C23×C61#12714yes—
224C23×C61C4⋊Q814yes—
225C23×C61C4⋊Q814yes—
226C23×C61C4⋊Q814yes—
227C23×C61C23×C411yescharacteristic
228C23×C61C22×D411yescharacteristic
229C23×C61C22×D411yescharacteristic
230C23×C61C22×D411yescharacteristic
231C23×C61C22×Q811yescharacteristic
232C23×C61C22×Q811yescharacteristic
233C23×C61C22×Q811yescharacteristic
234C23×C61C2×#4112yes—
235C23×C61C2×#4112yes—
236C23×C61H(5,𝔽2)12yes—
237C23×C61H(5,𝔽2)12yes—
238C2×C4×C61—24no—
239C2×C4×C61—24no—
240C2×C4×C61—24no—
241C2×C4×C61—24no—
242C2×C4×C61—24no—
243C2×C4×C61—24no—
244C2×C4×C61—24no—
245C2×C4×C61—24no—
246C2×C4×C61—24no—
247C2×C4×C61—416no—
248C2×C4×C61—42no—
249C2×C4×C61—42no—
250C2×C4×C61—42no—
251C2×C4×C61—42no—
252C2×C4×C61—41no—
253C2×C4×C61—41no—
254C2×C4×C61—41no—
255C2×C4×C61—41no—
256C2×C4×C61—41no—
257C2×C4×C61—41no—
258C2×C4×C61—42no—
259C2×C4×C61—42no—
260C2×C4×C61—42no—
261C2×C4×C61—42no—
262C2×C4×C61C2×C4⋊C418yes—
263C2×Dic61—24no—
264C2×Dic61—24no—
265C2×Dic61—24no—
266C2×Dic61—24no—
267C2×Dic61—22no—
268C2×Dic61—22no—
269C2×Dic61—22no—
270C2×Dic61—22no—
271C2×Dic61—24no—
272C2×Dic61—24no—
273C2×Dic61—24no—
274C2×Dic61—24no—
275C2×Dic61—24no—
276C2×Dic61—24no—
277C2×Dic61—24no—
278C2×Dic61—24no—
279C2×Dic61—24no—
280C2×Dic61—416no—
281C2×Dic61—416no—
282C2×Dic61—42no—
283C2×Dic61—42no—
284C2×Dic61—42no—
285C2×Dic61—42no—
286C2×Dic61—41no—
287C2×Dic61—41no—
288C2×Dic61—41no—
289C2×Dic61—41no—
290C2×Dic61—41no—
291C2×Dic61—41no—
292C2×Dic61—42no—
293C2×Dic61—42no—
294C2×Dic61—42no—
295C2×Dic61—42no—
296C2×Dic61C2×C4⋊C418yes—
297C2×Dic61C2×C4⋊C414yes—
298C2×Dic61C2×C4⋊C414yes—
299#13965—611nomaximal, Sylow
300C22×C61—24no—
301C22×C61—24no—
302C22×C61—24no—
303C22×C61—28no—
304C22×C61—28no—
305C22×C61—24no—
306C22×C61—24no—
307C22×C61—28no—
308C22×C61—28no—
309C22×C61—24no—
310C22×C61#38418yes—
311C22×C61C22×C4⋊C411yescharacteristic
312C22×C61C22×C4⋊C411yescharacteristic
313C22×C61C22×C4⋊C411yescharacteristic
314C22×C61C4×#4112yes—
315C22×C61#51812yes—
316C22×C61#52511yescharacteristic
317C22×C61#52511yescharacteristic
318C22×C61C2×#12711yescharacteristic
319C22×C61C2×C4⋊Q811yescharacteristic
320C22×C61C2×C4⋊Q811yescharacteristic
321C22×C61C2×C4⋊Q811yescharacteristic
322C22×C61#53312yes—
323C22×C61#53411yescharacteristic
324C22×C61#53411yescharacteristic
325C22×C61#54312yes—
326C22×C61#54612yes—
327C22×C61#54612yes—
328C22×C61#54612yes—
329C22×C61#54612yes—
330C22×C61#55412yes—
331C22×C61#55412yes—
332C22×C61#55412yes—
333C22×C61#55412yes—
334C4×C61—28no—
335C4×C61—44no—
336C4×C61—81no—
337C4×C61—81no—
338Dic61—24no—
339Dic61—24no—
340Dic61—28no—
341Dic61—44no—
342Dic61—81no—
343Dic61—81no—
344C2×#385—611no—
345C2×#385—611no—
346C2×#385—611no—
347C2×#385D6111yescharacteristic
348C2×#380—611no—
349C2×C4×C22⋊C4—611no—
350C22×#95—611no—
351#1444—612no—
352#1444—612no—
353C4⋊#95—612no—
354C4⋊#95—612no—
355C2×C61—28no—
356C2×C61C2×#38411yescharacteristic
357C2×C61#229611yescharacteristic
358C2×C61#231511yescharacteristic
359C2×C61#234912yes—
360C2×C61#234912yes—
361C2×C61#253911yescharacteristic
362C2×C61#253911yescharacteristic
363C2×C61#254912yes—
364C2×C61#254912yes—
365C2×C61#258311yescharacteristic
366C2×C61#258311yescharacteristic
367C24×C4—611no—
368C24×C4—611no—
369C24×C4C2×D6111yescharacteristic
370C22×C4⋊C4—612no—
371C22×C4⋊C4—612no—
372C22×C4⋊C4—612no—
373C22×C4⋊C4—611no—
374C22×C4⋊C4—611no—
375C22×C4⋊C4C2×D6112yes—
376C22×C22⋊C4—611no—
377C22×C22⋊C4—611no—
378C22×C22⋊C4C2×D6111yescharacteristic
379C22×C22⋊C4C2×D6111yescharacteristic
380C22×C42—612no—
381#385—24no—
382#385—1224no—
383#385—1224no—
384#385—1224no—
385#380—1224no—
386C4×C22⋊C4—618no—
387C2×#95—612no—
388C2×#95—612no—
389C2×#95—611no—
390C2×#95—611no—
391C2×#95—612no—
392C2×#95—612no—
393C2×#95—612no—
394C2×#95—612no—
395C2×#95—1224no—
396C2×#95C2×D6112yes—
397C61#1396511yescharacteristic, complemented, Sylow
398C25C22×D6111yescharacteristic
399C23×C4—22no—
400C23×C4—24no—
401C23×C4—22no—
402C23×C4—22no—
403C23×C4—42no—
404C23×C4—612no—
405C23×C4—611no—
406C23×C4—611no—
407C23×C4—614no—
408C23×C4—614no—
409C23×C4—614no—
410C23×C4—612no—
411C23×C4—611no—
412C23×C4—611no—
413C23×C4—1224no—
414C23×C4—1222no—
415C23×C4—1222no—
416C23×C4—1222no—
417C23×C4—2442no—
418C23×C4—2442no—
419C23×C4—2442no—
420C23×C4C22×D6111yescharacteristic
421C23×C4C22×D6111yescharacteristic
422C23×C4C22×D6112yes—
423C23×C4C22×D6112yes—
424C2×C4⋊C4—24no—
425C2×C4⋊C4—24no—
426C2×C4⋊C4—42no—
427C2×C4⋊C4—1222no—
428C2×C4⋊C4—1222no—
429C2×C4⋊C4—1224no—
430C2×C4⋊C4—1224no—
431C2×C4⋊C4—1224no—
432C2×C4⋊C4—1224no—
433C2×C4⋊C4—1224no—
434C2×C4⋊C4—1224no—
435C2×C4⋊C4—2442no—
436C2×C4⋊C4—2442no—
437C2×C4⋊C4—2442no—
438C2×C4⋊C4—2442no—
439C2×C4⋊C4—2442no—
440C2×C22⋊C4—22no—
441C2×C22⋊C4—22no—
442C2×C22⋊C4—22no—
443C2×C22⋊C4—614no—
444C2×C22⋊C4—614no—
445C2×C22⋊C4—614no—
446C2×C22⋊C4—1222no—
447C2×C22⋊C4—1222no—
448C2×C22⋊C4—1222no—
449C2×C22⋊C4Dic12214yes—
450C2×C22⋊C4C4×D6114yes—
451C2×C22⋊C4C22⋊D6114yes—
452C2×C42—618no—
453C2×C42—2442no—
454C2×C42—2442no—
455#95—24no—
456#95—618no—
457#95—1224no—
458#95—1224no—
459#95—1222no—
460#95—1222no—
461#95—1224no—
462#95—1224no—
463#95—1224no—
464C24—22no—
465C24—22no—
466C24—22no—
467C24—22no—
468C24C2×Dic12212yes—
469C24C2×C4×D6112yes—
470C24D4×D6112yes—
471C24D4×D6112yes—
472C24Q8×D6112yes—
473C24Q8×D6112yes—
474C24C2×C22⋊D6112yes—
475C24C23×D6111yescharacteristic
476C22×C4—22no—
477C22×C4—22no—
478C22×C4—22no—
479C22×C4—22no—
480C22×C4—28no—
481C22×C4—22no—
482C22×C4—22no—
483C22×C4—22no—
484C22×C4—22no—
485C22×C4—22no—
486C22×C4—22no—
487C22×C4—21no—
488C22×C4—21no—
489C22×C4—21no—
490C22×C4—21no—
491C22×C4—21no—
492C22×C4—21no—
493C22×C4—22no—
494C22×C4—22no—
495C22×C4—22no—
496C22×C4—22no—
497C22×C4—48no—
498C22×C4—48no—
499C22×C4—44no—
500C22×C4—44no—
501C22×C4—612no—
502C22×C4—614no—
503C22×C4—612no—
504C22×C4—612no—
505C22×C4—614no—
506C22×C4—612no—
507C22×C4—614no—
508C22×C4—612no—
509C22×C4—612no—
510C22×C4—6116no—
511C22×C4—614no—
512C22×C4—1222no—
513C22×C4—1222no—
514C22×C4—1222no—
515C22×C4—1222no—
516C22×C4—1222no—
517C22×C4—1222no—
518C22×C4—1222no—
519C22×C4—1222no—
520C22×C4—1228no—
521C22×C4—1222no—
522C22×C4—1222no—
523C22×C4—1222no—
524C22×C4—1222no—
525C22×C4—1222no—
526C22×C4—1222no—
527C22×C4—1221no—
528C22×C4—1221no—
529C22×C4—1221no—
530C22×C4—1221no—
531C22×C4—1221no—
532C22×C4—1221no—
533C22×C4—1222no—
534C22×C4—1222no—
535C22×C4—1222no—
536C22×C4—1222no—
537C22×C4—2448no—
538C22×C4—2444no—
539C22×C4—2444no—
540C22×C4—2448no—
541C22×C4—2448no—
542C22×C4—2448no—
543C22×C4—2444no—
544C22×C4—2444no—
545C22×C4C2×Dic12214yes—
546C22×C4C2×C4×D6114yes—
547C22×C4#1175822414yes—
548C22×C4C2×C22⋊D6114yes—
549C4⋊C4—48no—
550C4⋊C4—2448no—
551C4⋊C4—2448no—
552C4⋊C4—2448no—
553C4⋊C4—2444no—
554C4⋊C4—2444no—
555C22⋊C4—44no—
556C22⋊C4—6116no—
557C22⋊C4—2444no—
558C22⋊C4#11758196116yescomplemented
559C42—2448no—
560C23—24no—
561C23—24no—
562C23—24no—
563C23—24no—
564C23—24no—
565C23—24no—
566C23—22no—
567C23—22no—
568C23—24no—
569C23—22no—
570C23—22no—
571C23—24no—
572C23—24no—
573C23—24no—
574C23—24no—
575C23—24no—
576C23C4⋊C4×D6114yes—
577C23C4⋊C4×D6114yes—
578C23C2×#1175819614yes—
579C23#1451977314yes—
580C23#1451977514yes—
581C23#1451977614yes—
582C23#1451977614yes—
583C23C22×C4×D6111yescharacteristic
584C23C2×D4×D6111yescharacteristic
585C23C2×D4×D6111yescharacteristic
586C23C22×C22⋊D6111yescharacteristic
587C23C2×Q8×D6111yescharacteristic
588C23C2×Q8×D6111yescharacteristic
589C23C22×Dic12211yescharacteristic
590C23#41×D6112yes—
591C23C2×#1175822412yes—
592C23#1451982212yes—
593C23#1451982312yes—
594C2×C4—24no—
595C2×C4—24no—
596C2×C4—24no—
597C2×C4—24no—
598C2×C4—24no—
599C2×C4—24no—
600C2×C4—24no—
601C2×C4—24no—
602C2×C4—24no—
603C2×C4—416no—
604C2×C4—42no—
605C2×C4—42no—
606C2×C4—42no—
607C2×C4—42no—
608C2×C4—41no—
609C2×C4—41no—
610C2×C4—41no—
611C2×C4—41no—
612C2×C4—41no—
613C2×C4—41no—
614C2×C4—42no—
615C2×C4—42no—
616C2×C4—42no—
617C2×C4—42no—
618C2×C4—618no—
619C2×C4—614no—
620C2×C4—614no—
621C2×C4—1224no—
622C2×C4—1224no—
623C2×C4—1224no—
624C2×C4—1224no—
625C2×C4—1224no—
626C2×C4—1224no—
627C2×C4—1222no—
628C2×C4—1222no—
629C2×C4—1222no—
630C2×C4—1222no—
631C2×C4—1224no—
632C2×C4—1224no—
633C2×C4—1224no—
634C2×C4—1224no—
635C2×C4—1224no—
636C2×C4—1224no—
637C2×C4—1224no—
638C2×C4—24416no—
639C2×C4—2441no—
640C2×C4—2441no—
641C2×C4—2441no—
642C2×C4—2441no—
643C2×C4—2441no—
644C2×C4—2441no—
645C2×C4—2442no—
646C2×C4—2442no—
647C2×C4—2442no—
648C2×C4—2442no—
649C2×C4—24416no—
650C2×C4—2442no—
651C2×C4—2442no—
652C2×C4—2442no—
653C2×C4—2442no—
654C2×C4C2×#1175819618yes—
655C22—28no—
656C22—28no—
657C22—28no—
658C22—28no—
659C22—24no—
660C22—24no—
661C22—24no—
662C22—24no—
663C22—24no—
664C22—24no—
665C22#1683963118yes—
666C22C2×C4⋊C4×D6111yescharacteristic
667C22C2×C4⋊C4×D6111yescharacteristic
668C22C22×#1175819611yescharacteristic
669C22C4×#1175822412yes—
670C22#1684023412yes—
671C22#1684026811yescharacteristic
672C22#1684027011yescharacteristic
673C22C2×#1451977311yescharacteristic
674C22C2×#1451977511yescharacteristic
675C22C2×#1451977611yescharacteristic
676C22C2×#1451977611yescharacteristic
677C22#1684031412yes—
678C22#1684032211yescharacteristic
679C22#1684032311yescharacteristic
680C22#1684038712yes—
681C22#1684039912yes—
682C22#1684040012yes—
683C22#1684040412yes—
684C22#1684040612yes—
685C22#1684046612yes—
686C22#1684046912yes—
687C22#1684047012yes—
688C22#1684047112yes—
689C4—28no—
690C4—44no—
691C4—81no—
692C4—81no—
693C4—1228no—
694C4—1224no—
695C4—1224no—
696C4—4881no—
697C4—4881no—
698C4—2444no—
699C2—28no—
700C2C2×#1683963111yescharacteristic
701C2#2144829811yescharacteristic
702C2#2144843011yescharacteristic
703C2#2144872412yes—
704C2#2144872512yes—
705C2#2145074711yescharacteristic
706C2#2145074911yescharacteristic
707C2#2145082712yes—
708C2#2145083212yes—
709C2#2145119611yescharacteristic
710C2#2145119811yescharacteristic
subgroupG/H
center, FrattiniC24C23×D61
commutatorC23×C61C23×C4
FittingC2×C61×#385C2
socle, cosocleC24×C61C24
prime radicalC25×C61C23
hypercenterC2×#385D61
hypocenterC61#13965
LCSG ▷ C23×C61 ▷ C61
UCSC1 ◁ C24 ◁ C2×#385

Complements

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

NH ≅ G/Ntype
7. #21444083C2semidirect
8. #21444082C2semidirect
9. #21444048C2semidirect
10. #21444047C2semidirect
26. C22⋊C4×Dic61C4semidirect
79. C2×C4×Dic61C2×C4semidirect
87. #14519684C2×C4semidirect
182. C22×Dic61C4⋊C4semidirect
195. C22⋊C4×C61C4⋊C4semidirect
197. C22⋊Dic61C4⋊C4semidirect
397. C61#13965semidirect
558. C22⋊C4#11758196semidirect

Maximal subgroups

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

subgroupindex
C2×#168396372
C2×#168396352
C2×#168396342
C2×#168396202
C2×C22⋊C4×Dic612
C22×#145196842
#214440832
#214440822
#214440482
#214440472
C2×C61×#3852
#1396561