Finite Group Databasebeta

← #29680010

Subgroups — #29680010

Order 15616.

1802 conjugacy classes of subgroups.

The subgroup lattice has 698 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C4×D4×D61C211yesmaximal, characteristic
2C2×#16839814C211yesmaximal, characteristic, complemented
3#21448224C211yesmaximal, characteristic, complemented
4#21445904C212yesmaximal, complemented
5#21445820C211yesmaximal, characteristic, complemented
6#21445819C211yesmaximal, characteristic, complemented
7#21445816C211yesmaximal, characteristic, complemented
8#21445748C212yesmaximal
9#102×Dic61C212yesmaximal, complemented
10#21445633C212yesmaximal, complemented
11C61×#1802C211yesmaximal, characteristic, complemented
12C22×D4×D61C2211yescharacteristic
13C23×C4×D61—21no—
14C2×C4×D244C2211yescharacteristic
15C2×D4×Dic61C2211yescharacteristic
16C2×#14519739C2211yescharacteristic
17C2×C4×C22⋊D61—21no—
18C2×#14519737—21no—
19C4×D4×D61—24no—
20C4×D4×D61C418yescomplemented
21C2×#14519735—21no—
22C2×C4⋊C4×D61C2211yescharacteristic
23C2×C22⋊C4×D61—21no—
24C2×C42×D61C2211yescharacteristic
25#16839814—24no—
26C2×C4⋊#92418C2211yescharacteristic, complemented
27C2×#14519699C2212yes—
28C2×#14519698C2212yes—
29C2×#14519697C2212yes—
30C2×#14519689C2212yes—
31C2×C8×Dic61C2212yescomplemented
32#16839632C2211yescharacteristic, complemented
33#16839627—21no—
34#16839619—21no—
35#16839619C2212yes—
36C4⋊C4×Dic61—21no—
37C4⋊C4×Dic61C2212yescomplemented
38#16839525C2212yescomplemented
39#16839524C2212yescomplemented
40#16839524C2212yescomplemented
41C2×C4×D4×C61C2211yescharacteristic
42C2×C4⋊C8×C61C2211yescharacteristic, complemented
43C2×#102×C61C2212yes—
44C61×#384C2211yescharacteristic, complemented
45C61×#340C2212yescomplemented
46C24×D61—21no—
47C22×D244C2311yescharacteristic
48C22×C22⋊D61—21no—
49C2×D4×D61—22no—
50C2×D4×D61—22no—
51C2×D4×D61—22no—
52C2×D4×D61—22no—
53C2×D4×D61—22no—
54C2×D4×D61C2×C414yes—
55C23×Dic61—21no—
56C22×C4×D61—21no—
57C22×C4×D61—21no—
58C22×C4×D61—21no—
59C22×C4×D61—28no—
60C22×C4×D61—44no—
61C22×C4×D61—44no—
62C22×C4×D61D411yescharacteristic
63C22×C4×D61D411yescharacteristic
64C22×C4×D61C2311yescharacteristic
65C22×#92418C2312yes—
66C4×D244—22no—
67C4×D244C2×C414yes—
68D4×Dic61—22no—
69D4×Dic61C2×C414yes—
70#14519739—22no—
71#14519739C2×C414yes—
72C4×C22⋊D61—28no—
73#14519737—28no—
74#14519735—44no—
75C2×C4⋊Dic61—21no—
76C2×C4⋊Dic61—21no—
77C2×C4⋊Dic61C2312yes—
78C2×C4⋊Dic61C2311yescharacteristic
79C2×#11758196—21no—
80C4⋊C4×D61—22no—
81C4⋊C4×D61C2×C414yes—
82C2×C22⋊Dic61—21no—
83C2×#11758198—21no—
84C2×#11758198—21no—
85C2×#11758198—22no—
86C22⋊C4×D61—28no—
87C2×C4×Dic61—22no—
88C2×C4×Dic61D411yescharacteristic
89C2×C4×Dic61D411yescharacteristic
90C2×C4×Dic61C2311yescharacteristic
91C42×D61C2×C414yes—
92C42×D61D414yes—
93C4⋊#92418—22no—
94#14519699—24no—
95#14519698—24no—
96#14519697—24no—
97#14519689—24no—
98C8×Dic61—24no—
99#14519684—22no—
100#14519684—22no—
101C22×D4×C61C2311yescharacteristic
102C23×C4×C61—21no—
103C22×C8×C61C2312yes—
104C4×D4×C61—22no—
105C4×D4×C61C2×C414yes—
106C2×C4⋊C4×C61—21no—
107C2×C4⋊C4×C61—21no—
108C2×C4⋊C4×C61C2312yes—
109C2×C4⋊C4×C61C2311yescharacteristic
110C2×C22⋊C4×C61—21no—
111C2×C42×C61C2311yescharacteristic
112C4⋊C8×C61—22no—
113#102×C61—24no—
114C24×C61—21no—
115C23×D61—24no—
116C23×D61—24no—
117C23×D61—21no—
118C23×D61—24no—
119C23×D61—42no—
120C23×D61—42no—
121C23×D61—42no—
122C23×D61—42no—
123C23×D61C2×D411yescharacteristic
124C2×D4×C61—21no—
125C2×D4×C61—21no—
126C2×D4×C61—21no—
127C2×D4×C61C22×C412yes—
128C2×D4×C61#4112yes—
129C2×D4×C61#4112yes—
130C22×C4×C61—21no—
131C22×C4×C61—24no—
132C22×C4×C61—22no—
133C22×C4×C61—42no—
134C22×C4×C61—42no—
135C22×C4×C61C2×D411yescharacteristic
136C22×C4×C61C2×D411yescharacteristic
137C22×C4×C61C2411yescharacteristic
138C2×C22⋊D61—24no—
139C2×C22⋊D61—24no—
140C2×C22⋊D61—24no—
141C22×Dic61—21no—
142C22×Dic61—24no—
143C22×Dic61—22no—
144C22×Dic61—42no—
145C22×Dic61—42no—
146C22×Dic61C2×D411yescharacteristic
147C22×Dic61C2×D411yescharacteristic
148C22×Dic61C2×D411yescharacteristic
149D4×D61—28no—
150D4×D61—28no—
151D4×D61—28no—
152D4×D61—28no—
153C2×D244—21no—
154C2×D244—21no—
155C2×D244—21no—
156C2×D244C22×C412yes—
157C2×D244#4112yes—
158C2×D244#4112yes—
159C2×C4×D61—21no—
160C2×C4×D61—21no—
161C2×C4×D61—21no—
162C2×C4×D61—21no—
163C2×C4×D61—24no—
164C2×C4×D61—24no—
165C2×C4×D61—24no—
166C2×C4×D61—41no—
167C2×C4×D61—41no—
168C2×C4×D61—42no—
169C2×C4×D61—42no—
170C2×C4×D61—42no—
171C2×C4×D61—42no—
172C2×C4×D61—42no—
173C2×C4×D61—42no—
174C2×C4×D61—432no—
175C2×C4×D61C22⋊C414yes—
176C2×C4×D61C22⋊C414yes—
177C2×C4×D61D814yes—
178C2×C4×D61SD1614yes—
179C2×C4×D61C22×C412yes—
180C2×C4×D61C2×D412yes—
181C2×C8×C61—22no—
182C2×C8×C61—22no—
183C2×C8×C61—22no—
184C4⋊C4×C61—21no—
185C4⋊C4×C61—22no—
186C4⋊C4×C61—22no—
187C4⋊C4×C61—42no—
188C4⋊C4×C61—42no—
189C4⋊C4×C61C22×C412yes—
190C22⋊C4×C61—24no—
191C42×C61C22×C412yes—
192C42×C61C2×D412yes—
193C22⋊Dic61—24no—
194#11758198—24no—
195#11758198—24no—
196#11758198—44no—
197C4⋊Dic61—21no—
198C4⋊Dic61—22no—
199C4⋊Dic61—22no—
200C4⋊Dic61—42no—
201C4⋊Dic61—42no—
202C4⋊Dic61C22×C412yes—
203#11758196—24no—
204C4×Dic61—44no—
205C4×Dic61C22⋊C414yes—
206C4×Dic61C22⋊C414yes—
207C4×Dic61C22×C412yes—
208C4×Dic61C2×D412yes—
209C2×#92418—22no—
210C2×#92418—22no—
211C2×#92418—22no—
212C23×C61—22no—
213C23×C61—22no—
214C23×C61—22no—
215C23×C61—41no—
216C23×C61—41no—
217C23×C61—41no—
218C23×C61—41no—
219C23×C61C22×D411yescharacteristic
220C22×D61—21no—
221C22×D61—21no—
222C22×D61—21no—
223C22×D61—21no—
224C22×D61—216no—
225C22×D61—22no—
226C22×D61—22no—
227C22×D61—22no—
228C22×D61—48no—
229C22×D61—48no—
230C22×D61—48no—
231C22×D61—48no—
232C22×D61—48no—
233C22×D61—41no—
234C22×D61—41no—
235C22×D61—41no—
236C22×D61—41no—
237C22×D61—48no—
238C22×D61C2×C22⋊C412yes—
239C22×D61C2×D812yes—
240C22×D61C2×SD1612yes—
241D4×C61—22no—
242D4×C61—22no—
243D4×C61—22no—
244D4×C61#11714yescomplemented
245C2×C4×C61—21no—
246C2×C4×C61—21no—
247C2×C4×C61—22no—
248C2×C4×C61—41no—
249C2×C4×C61—41no—
250C2×C4×C61—48no—
251C2×C4×C61—42no—
252C2×C4×C61—42no—
253C2×C4×C61—42no—
254C2×C4×C61C2×C22⋊C412yes—
255C2×C4×C61C2×C22⋊C412yes—
256C2×C4×C61C2×D812yes—
257C2×C4×C61C2×SD1612yes—
258C2×C4×C61C23×C411yescharacteristic
259C2×C4×C61C22×D411yescharacteristic
260C2×C4×C61C2×#4111yescharacteristic
261C2×C4×C61C2×#4111yescharacteristic
262C2×C4×C61C2×#4111yescharacteristic
263C2×C4×C61C2×#4111yescharacteristic
264C22⋊D61—216no—
265C2×Dic61—21no—
266C2×Dic61—21no—
267C2×Dic61—21no—
268C2×Dic61—21no—
269C2×Dic61—22no—
270C2×Dic61—41no—
271C2×Dic61—41no—
272C2×Dic61—48no—
273C2×Dic61—42no—
274C2×Dic61—42no—
275C2×Dic61—42no—
276C2×Dic61C2×C22⋊C412yes—
277C2×Dic61C2×C22⋊C412yes—
278C2×Dic61C2×C22⋊C412yes—
279C2×Dic61C2×D812yes—
280C2×Dic61C2×SD1612yes—
281D244—22no—
282D244—22no—
283D244—22no—
284D244#11714yescomplemented
285C4×D61—22no—
286C4×D61—22no—
287C4×D61—22no—
288C4×D61—22no—
289C4×D61—44no—
290C4×D61—48no—
291C4×D61—48no—
292C4×D61—48no—
293C4×D61#102116yescomplemented
294C8×C61—42no—
295#92418—42no—
296#20732—611nomaximal, Sylow
297C22×C61—24no—
298C22×C61—42no—
299C22×C61—42no—
300C22×C61—42no—
301C22×C61—42no—
302C22×C61—42no—
303C22×C61—42no—
304C22×C61C22×C22⋊C411yescharacteristic
305C22×C61#52511yescharacteristic
306C22×C61#52511yescharacteristic
307C22×C61C22×D811yescharacteristic
308C22×C61C22×SD1611yescharacteristic
309C22×C61#57511yescharacteristic
310C22×C61#57511yescharacteristic
311C2×D61—22no—
312C2×D61—22no—
313C2×D61—22no—
314C2×D61—22no—
315C2×D61—22no—
316C2×D61—22no—
317C2×D61—24no—
318C2×D61—432no—
319C2×D61—42no—
320C2×D61—42no—
321C2×D61—42no—
322C2×D61—42no—
323C2×D61—42no—
324C2×D61—42no—
325C2×D61C2×#10214yes—
326C4×C61—22no—
327C4×C61—42no—
328C4×C61—82no—
329C4×C61C2×#10214yes—
330C4×C61C2×#11711yescharacteristic
331C4×C61C2×#11711yescharacteristic
332C4×C61#52511yescharacteristic
333C4×C61#52511yescharacteristic
334Dic61—22no—
335Dic61—22no—
336Dic61—42no—
337Dic61—82no—
338Dic61C2×#10214yes—
339C22×C4×D4—611no—
340C2×#431—611no—
341#2285—611no—
342#1823—612no—
343#1802—611no—
344#1802—611no—
345#1802—611no—
346#1802D6111yescharacteristic, complemented
347#1786—612no—
348C4×#102—612no—
349C4×#102—612no—
350C2×C61—44no—
351C2×C61#228011yescharacteristic
352C2×C61C22×#10211yescharacteristic
353C2×C61#289611yescharacteristic
354C2×C61#310011yescharacteristic
355C2×C61#310011yescharacteristic
356C2×C61#310111yescharacteristic
357C2×C61#310111yescharacteristic
358D61—24no—
359D61—44no—
360C23×D4—611no—
361C24×C4—1221no—
362C2×C4×D4—611no—
363C2×C4×D4—618no—
364C2×C4×D4—611no—
365C2×C4×D4—611no—
366C2×C4×D4—1221no—
367C2×C4×D4—1224no—
368C2×C4×D4—1221no—
369C2×C4×D4C2×D6111yescharacteristic
370C2×#117—1221no—
371C22×C4⋊C4—611no—
372C22×C22⋊C4—1221no—
373C22×C42—611no—
374#431—1224no—
375C2×C4⋊C8—611no—
376C2×C4⋊C8C2×D6111yescharacteristic, complemented
377C2×#102—612no—
378C2×#102—612no—
379C2×#102—612no—
380C2×#102C2×D6112yes—
381C2×C22⋊C8—612no—
382C2×C4×C8—612no—
383#384—611no—
384#384C2×D6111yescharacteristic, complemented
385#382—1221no—
386#380—612no—
387#380—1221no—
388C4×C4⋊C4—612no—
389C4×C4⋊C4—1221no—
390#340—612no—
391#340—612no—
392#340—612no—
393#340C2×D6112yescomplemented
394C61#2073211yescharacteristic, complemented, Sylow
395C25—1221no—
396C22×D4—614no—
397C22×D4—611no—
398C22×D4—1222no—
399C22×D4—1221no—
400C22×D4—1222no—
401C22×D4—1222no—
402C22×D4—1222no—
403C22×D4—1222no—
404C22×D4C22×D6111yescharacteristic
405C23×C4—21no—
406C23×C4—611no—
407C23×C4—611no—
408C23×C4—611no—
409C23×C4—1221no—
410C23×C4—1228no—
411C23×C4—1221no—
412C23×C4—1221no—
413C23×C4—1221no—
414C23×C4—2444no—
415C23×C4—2444no—
416C22×C8—612no—
417C22×C8C22×D6112yes—
418C4×D4—22no—
419C4×D4—614no—
420C4×D4—614no—
421C4×D4—614no—
422C4×D4—1228no—
423C4×D4—1222no—
424C4×D4—1228no—
425C4×D4—1222no—
426C4×D4—1222no—
427C4×D4C4×D6114yes—
428#117—2444no—
429C2×C4⋊C4—21no—
430C2×C4⋊C4—21no—
431C2×C4⋊C4—611no—
432C2×C4⋊C4—614no—
433C2×C4⋊C4—612no—
434C2×C4⋊C4—1222no—
435C2×C4⋊C4—1221no—
436C2×C4⋊C4—1221no—
437C2×C4⋊C4—1221no—
438C2×C4⋊C4C22×D6112yes—
439C2×C4⋊C4C22×D6111yescharacteristic
440C2×C22⋊C4—21no—
441C2×C22⋊C4—1228no—
442C2×C22⋊C4—1221no—
443C2×C22⋊C4—1221no—
444C2×C22⋊C4—1221no—
445C2×C22⋊C4—1222no—
446C2×C42—611no—
447C2×C42—611no—
448C2×C42—611no—
449C2×C42—614no—
450C2×C42—614no—
451C2×C42—1222no—
452C2×C42C22×D6111yescharacteristic
453C4⋊C8—22no—
454C4⋊C8—1222no—
455#102—24no—
456#102—1224no—
457#102—1224no—
458#102—1224no—
459C22⋊C8—1224no—
460C4×C8—1224no—
461#95—1222no—
462#95—1222no—
463C24—21no—
464C24—611no—
465C24—1224no—
466C24—1224no—
467C24—1224no—
468C24—1221no—
469C24—2442no—
470C24—2442no—
471C24—2442no—
472C24—2442no—
473C2×D4—21no—
474C2×D4—21no—
475C2×D4—21no—
476C2×D4—612no—
477C2×D4—612no—
478C2×D4—612no—
479C2×D4—1224no—
480C2×D4—1228no—
481C2×D4—1228no—
482C2×D4—1228no—
483C2×D4—1224no—
484C2×D4—1224no—
485C2×D4—1228no—
486C2×D4—1221no—
487C2×D4—1221no—
488C2×D4—1221no—
489C2×D4C2×C4×D6112yes—
490C2×D4#1175822412yes—
491C2×D4#1175822612yes—
492C22×C4—21no—
493C22×C4—24no—
494C22×C4—22no—
495C22×C4—42no—
496C22×C4—42no—
497C22×C4—611no—
498C22×C4—614no—
499C22×C4—614no—
500C22×C4—614no—
501C22×C4—611no—
502C22×C4—611no—
503C22×C4—612no—
504C22×C4—612no—
505C22×C4—614no—
506C22×C4—1224no—
507C22×C4—1224no—
508C22×C4—1224no—
509C22×C4—1221no—
510C22×C4—1221no—
511C22×C4—1221no—
512C22×C4—1221no—
513C22×C4—1221no—
514C22×C4—1224no—
515C22×C4—1222no—
516C22×C4—2441no—
517C22×C4—2441no—
518C22×C4—2442no—
519C22×C4—2442no—
520C22×C4—24432no—
521C22×C4—2442no—
522C22×C4—2442no—
523C22×C4—2442no—
524C22×C4—2442no—
525C22×C4—2442no—
526C22×C4—2442no—
527C22×C4D4×D6111yescharacteristic
528C22×C4D4×D6111yescharacteristic
529C22×C4C23×D6111yescharacteristic
530C2×C8—22no—
531C2×C8—22no—
532C2×C8—22no—
533C2×C8—1222no—
534C2×C8—1222no—
535C2×C8—1222no—
536C4⋊C4—21no—
537C4⋊C4—22no—
538C4⋊C4—22no—
539C4⋊C4—42no—
540C4⋊C4—42no—
541C4⋊C4—612no—
542C4⋊C4—1224no—
543C4⋊C4—1221no—
544C4⋊C4—1222no—
545C4⋊C4—1222no—
546C4⋊C4—2442no—
547C4⋊C4—2442no—
548C4⋊C4C2×C4×D6112yes—
549C22⋊C4—24no—
550C22⋊C4—1224no—
551C22⋊C4—1224no—
552C22⋊C4—1224no—
553C22⋊C4—2444no—
554C42—612no—
555C42—612no—
556C42—614no—
557C42—614no—
558C42—2444no—
559C42C2×C4×D6112yes—
560C42D4×D6112yes—
561C23—22no—
562C23—22no—
563C23—22no—
564C23—41no—
565C23—41no—
566C23—41no—
567C23—41no—
568C23—612no—
569C23—612no—
570C23—612no—
571C23—12216no—
572C23—1221no—
573C23—1221no—
574C23—1221no—
575C23—1221no—
576C23—1222no—
577C23—1222no—
578C23—1222no—
579C23—2448no—
580C23—2448no—
581C23—2448no—
582C23—2448no—
583C23—2448no—
584C23—2448no—
585C23—2441no—
586C23—2441no—
587C23—2441no—
588C23—2441no—
589C23C2×D4×D6111yescharacteristic
590D4—22no—
591D4—22no—
592D4—22no—
593D4—614no—
594D4—12216no—
595D4—1222no—
596D4—1222no—
597D4—1222no—
598D4#1451973514yescomplemented
599C2×C4—21no—
600C2×C4—21no—
601C2×C4—22no—
602C2×C4—41no—
603C2×C4—41no—
604C2×C4—48no—
605C2×C4—42no—
606C2×C4—42no—
607C2×C4—42no—
608C2×C4—612no—
609C2×C4—612no—
610C2×C4—612no—
611C2×C4—6116no—
612C2×C4—612no—
613C2×C4—612no—
614C2×C4—1221no—
615C2×C4—1221no—
616C2×C4—1221no—
617C2×C4—1221no—
618C2×C4—1222no—
619C2×C4—1222no—
620C2×C4—1222no—
621C2×C4—1222no—
622C2×C4—1222no—
623C2×C4—2444no—
624C2×C4—2448no—
625C2×C4—2448no—
626C2×C4—2448no—
627C2×C4—2442no—
628C2×C4—2442no—
629C2×C4—2442no—
630C2×C4—2441no—
631C2×C4—2441no—
632C2×C4—2448no—
633C2×C4C22⋊C4×D6112yes—
634C2×C4C22⋊C4×D6112yes—
635C2×C4D8×D6112yes—
636C2×C4SD16×D6112yes—
637C2×C4C22×C4×D6111yescharacteristic
638C2×C4C2×D4×D6111yescharacteristic
639C2×C4#41×D6111yescharacteristic
640C2×C4#41×D6111yescharacteristic
641C2×C4C2×#1175822411yescharacteristic
642C2×C4C2×#1175822611yescharacteristic
643C8—42no—
644C8—2442no—
645C22—24no—
646C22—42no—
647C22—42no—
648C22—42no—
649C22—42no—
650C22—42no—
651C22—42no—
652C22—614no—
653C22—1222no—
654C22—1222no—
655C22—1222no—
656C22—1222no—
657C22—1222no—
658C22—1222no—
659C22—1224no—
660C22—24432no—
661C22—2442no—
662C22—2442no—
663C22—2442no—
664C22—2442no—
665C22—2442no—
666C22—2442no—
667C22C2×C22⋊C4×D6111yescharacteristic
668C22#1684027211yescharacteristic
669C22#1684027511yescharacteristic
670C22C2×D8×D6111yescharacteristic
671C22C2×SD16×D6111yescharacteristic
672C22#1684055811yescharacteristic
673C22#1684056111yescharacteristic
674C4—22no—
675C4—42no—
676C4—82no—
677C4—614no—
678C4—1222no—
679C4—1222no—
680C4—4882no—
681C4—2442no—
682C4#102×D6114yes—
683C4#117×D6111yescharacteristic
684C4C2×#1451973511yescharacteristic
685C4#1684027211yescharacteristic
686C4#1684027511yescharacteristic
687C2—44no—
688C2—1224no—
689C2—2444no—
690C2#2144820111yescharacteristic
691C2C2×#102×D6111yescharacteristic
692C2#2145433511yescharacteristic
693C2#2145581811yescharacteristic
694C2#2145582111yescharacteristic
695C2#2145582611yescharacteristic
696C2#2145582911yescharacteristic
subgroupG/H
centerC23C2×D4×D61
commutatorC2×C4×C61C23×C4
FrattiniC22×C4C23×D61
FittingC61×#1802C2
socleC23×C61C22×D4
prime radicalC22×D4×D61C22
cosocleC22×C4×C61C24
hypercenter#1802D61
hypocenterC61#20732
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C23 ◁ C2×C42 ◁ #1802

Complements

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

NH ≅ G/Ntype
2. C2×#16839814C2semidirect
3. #21448224C2semidirect
4. #21445904C2semidirect
5. #21445820C2semidirect
6. #21445819C2semidirect
7. #21445816C2semidirect
9. #102×Dic61C2semidirect
10. #21445633C2semidirect
11. C61×#1802C2semidirect
20. C4×D4×D61C4semidirect
26. C2×C4⋊#92418C22semidirect
31. C2×C8×Dic61C22semidirect
32. #16839632C22semidirect
37. C4⋊C4×Dic61C22semidirect
38. #16839525C22semidirect
39. #16839524C22semidirect
40. #16839524C22semidirect
42. C2×C4⋊C8×C61C22semidirect
44. C61×#384C22semidirect
45. C61×#340C22semidirect
244. D4×C61#117semidirect
284. D244#117semidirect
293. C4×D61#102semidirect
346. #1802D61semidirect
376. C2×C4⋊C8C2×D61semidirect
384. #384C2×D61semidirect
393. #340C2×D61semidirect
394. C61#20732semidirect
598. D4#14519735semidirect

Maximal subgroups

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

subgroupindex
C2×C4×D4×D612
C2×#168398142
#214482242
#214459042
#214458202
#214458192
#214458162
#214457482
#102×Dic612
#214456332
C61×#18022
#2073261