Finite Group Databasebeta

← C4×#16839655 #29601169

Subgroups — C4×#16839655 #29601169

Order 15616.

2134 conjugacy classes of subgroups.

The subgroup lattice has 706 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16839655C212yesmaximal
2C2×C4×C4⋊Dic61C211yesmaximal, characteristic, complemented
3C2×C4×C22⋊Dic61C211yesmaximal, characteristic
4C2×C4×C22⋊Dic61C211yesmaximal, characteristic
5C2×C42×Dic61C211yesmaximal, characteristic, complemented
6#21444056C212yesmaximal
7#21444053C212yesmaximal, complemented
8#21444044C212yesmaximal, complemented
9C4×#14519684C211yesmaximal, characteristic, complemented
10C4×#14519684C211yesmaximal, characteristic, complemented
11C2×C4×C22⋊C4×C61C211yesmaximal, characteristic
12C22×C4⋊Dic61C2212yes—
13C22×C22⋊Dic61C2212yes—
14C22×C22⋊Dic61C2212yes—
15C22×C4×Dic61C2211yescharacteristic
16C22×C4×Dic61C2211yescharacteristic
17C22×C4×Dic61C2212yes—
18C22×C4×Dic61C2212yes—
19C22×C4×Dic61C2211yescharacteristic
20C22×C4×Dic61C2211yescharacteristic
21#16839655C4116yesdirect product factor
22C4×C4⋊Dic61—24no—
23C4×C22⋊Dic61—24no—
24C4×C22⋊Dic61—24no—
25C2×#14519684C2212yes—
26C2×#14519684C2212yes—
27C2×#14519684C2212yes—
28C2×#14519684C2212yes—
29C2×#14519684C2212yes—
30C2×#14519684C2212yes—
31C2×#14519684C2212yes—
32C42×Dic61—24no—
33C24×C4×C61C2211yescharacteristic
34C22×C22⋊C4×C61C2211yescharacteristic
35C22×C22⋊C4×C61C2211yescharacteristic
36C22×C42×C61C2211yescharacteristic
37C22×C42×C61C2211yescharacteristic
38C4×C22⋊C4×C61C418yescomplemented
39C2×#95×C61C2211yescharacteristic
40C2×#95×C61C2211yescharacteristic
41C23×Dic61C2312yes—
42C23×Dic61C2312yes—
43C23×Dic61C2312yes—
44C23×Dic61C2312yes—
45C2×C4⋊Dic61—24no—
46C2×C4⋊Dic61—24no—
47C2×C4⋊Dic61C2×C418yescomplemented
48C2×C22⋊Dic61—24no—
49C2×C22⋊Dic61—24no—
50C2×C22⋊Dic61—24no—
51C2×C22⋊Dic61—24no—
52C2×C22⋊Dic61C2×C418yes—
53C2×C22⋊Dic61C2×C418yes—
54C2×C4×Dic61—22no—
55C2×C4×Dic61—24no—
56C2×C4×Dic61—22no—
57C2×C4×Dic61—22no—
58C2×C4×Dic61—22no—
59C2×C4×Dic61—24no—
60C2×C4×Dic61—24no—
61C2×C4×Dic61—24no—
62C2×C4×Dic61—24no—
63C2×C4×Dic61—22no—
64C2×C4×Dic61—22no—
65C2×C4×Dic61—22no—
66C2×C4×Dic61—22no—
67C2×C4×Dic61—22no—
68C2×C4×Dic61—22no—
69C2×C4×Dic61C2×C418yescomplemented
70C2×C4×Dic61D414yes—
71C2×C4×Dic61D414yes—
72#14519684—24no—
73#14519684—24no—
74#14519684—24no—
75#14519684—24no—
76#14519684—24no—
77#14519684C2×C418yescomplemented
78#14519684C2×C418yescomplemented
79C25×C61C2311yescharacteristic
80C23×C4×C61—22no—
81C23×C4×C61—22no—
82C23×C4×C61—22no—
83C23×C4×C61—22no—
84C23×C4×C61—22no—
85C23×C4×C61—22no—
86C23×C4×C61C2×C414yes—
87C23×C4×C61C2311yescharacteristic
88C23×C4×C61C2311yescharacteristic
89C23×C4×C61C2311yescharacteristic
90C23×C4×C61C2311yescharacteristic
91C23×C4×C61C2311yescharacteristic
92C23×C4×C61C2311yescharacteristic
93C2×C22⋊C4×C61—24no—
94C2×C22⋊C4×C61C2×C418yes—
95C2×C22⋊C4×C61C2×C414yes—
96C2×C22⋊C4×C61C2×C414yes—
97C2×C42×C61—22no—
98C2×C42×C61—22no—
99C2×C42×C61—22no—
100C2×C42×C61—22no—
101C2×C42×C61C2×C414yes—
102C2×C42×C61C2×C414yes—
103#95×C61C2×C414yes—
104#95×C61C2×C414yes—
105C24×C61—21no—
106C24×C61—21no—
107C24×C61—22no—
108C24×C61—21no—
109C24×C61—21no—
110C24×C61—21no—
111C24×C61—21no—
112C24×C61—22no—
113C24×C61—22no—
114C24×C61C22×C414yes—
115C24×C61C22×C412yes—
116C24×C61C2411yescharacteristic
117C22×C4×C61—21no—
118C22×C4×C61—21no—
119C22×C4×C61—21no—
120C22×C4×C61—21no—
121C22×C4×C61—21no—
122C22×C4×C61—21no—
123C22×C4×C61—22no—
124C22×C4×C61—22no—
125C22×C4×C61—22no—
126C22×C4×C61—21no—
127C22×C4×C61—21no—
128C22×C4×C61—21no—
129C22×C4×C61—21no—
130C22×C4×C61—22no—
131C22×C4×C61—21no—
132C22×C4×C61—21no—
133C22×C4×C61—21no—
134C22×C4×C61—21no—
135C22×C4×C61—22no—
136C22×C4×C61—28no—
137C22×C4×C61—28no—
138C22×C4×C61—28no—
139C22×C4×C61—44no—
140C22×C4×C61—44no—
141C22×C4×C61—44no—
142C22×C4×C61—44no—
143C22×C4×C61C22×C412yes—
144C22×C4×C61C22×C412yes—
145C22×C4×C61C22×C414yes—
146C22×C4×C61C22×C414yes—
147C22×C4×C61C22×C412yes—
148C22×C4×C61C22×C412yes—
149C22×C4×C61C22×C412yes—
150C22×C4×C61C22×C412yes—
151C22×C4×C61C2×D412yes—
152C22×C4×C61C2×D412yes—
153C22×C4×C61#4114yes—
154C22×C4×C61#4112yes—
155C22×C4×C61#4112yes—
156C22×C4×C61#4112yes—
157C22×C4×C61#4112yes—
158C22×Dic61—22no—
159C22×Dic61—22no—
160C22×Dic61—22no—
161C22×Dic61—22no—
162C22×Dic61—22no—
163C22×Dic61—22no—
164C22×Dic61—22no—
165C22×Dic61—22no—
166C22×Dic61—22no—
167C22×Dic61—22no—
168C22×Dic61—22no—
169C22×Dic61—22no—
170C22×Dic61—22no—
171C22×Dic61—22no—
172C22×Dic61—22no—
173C22×Dic61—22no—
174C22×Dic61—22no—
175C22×Dic61—22no—
176C22×Dic61—22no—
177C22×Dic61—22no—
178C22×Dic61C22×C414yes—
179C22×Dic61C22×C414yes—
180C22×Dic61C22×C414yes—
181C22×Dic61C22×C414yes—
182C22×Dic61C2×D414yes—
183C22×Dic61C2×D414yes—
184C22×Dic61#4114yes—
185C22×Dic61#4114yes—
186C22⋊C4×C61—28no—
187C22⋊C4×C61C42116yescomplemented
188C42×C61—28no—
189C42×C61—28no—
190C22⋊Dic61—216no—
191C22⋊Dic61—216no—
192C4⋊Dic61—216no—
193C4×Dic61—216no—
194C4×Dic61—28no—
195C4×Dic61—28no—
196C4×Dic61—216no—
197C4×Dic61—44no—
198C4×Dic61—44no—
199C23×C61—22no—
200C23×C61—22no—
201C23×C61—24no—
202C23×C61—24no—
203C23×C61—22no—
204C23×C61—22no—
205C23×C61—24no—
206C23×C61—24no—
207C23×C61—24no—
208C23×C61—24no—
209C23×C61—22no—
210C23×C61—22no—
211C23×C61—41no—
212C23×C61—41no—
213C23×C61—42no—
214C23×C61—41no—
215C23×C61—41no—
216C23×C61—42no—
217C23×C61—42no—
218C23×C61—42no—
219C23×C61—42no—
220C23×C61—42no—
221C23×C61C2×C4214yes—
222C23×C61C23×C411yescharacteristic
223C23×C61C23×C412yes—
224C23×C61C22×D411yescharacteristic
225C23×C61C22×D411yescharacteristic
226C23×C61C2×#4111yescharacteristic
227C23×C61C2×#4111yescharacteristic
228C23×C61C2×#4112yes—
229C23×C61C2×#4111yescharacteristic
230C23×C61C2×#4112yes—
231C23×C61C2×#4111yescharacteristic
232C23×C61C2×#4112yes—
233C2×C4×C61—24no—
234C2×C4×C61—24no—
235C2×C4×C61—22no—
236C2×C4×C61—22no—
237C2×C4×C61—22no—
238C2×C4×C61—24no—
239C2×C4×C61—24no—
240C2×C4×C61—22no—
241C2×C4×C61—22no—
242C2×C4×C61—22no—
243C2×C4×C61—24no—
244C2×C4×C61—24no—
245C2×C4×C61—22no—
246C2×C4×C61—22no—
247C2×C4×C61—22no—
248C2×C4×C61—22no—
249C2×C4×C61—22no—
250C2×C4×C61—22no—
251C2×C4×C61—41no—
252C2×C4×C61—41no—
253C2×C4×C61—41no—
254C2×C4×C61—41no—
255C2×C4×C61—42no—
256C2×C4×C61—42no—
257C2×C4×C61—416no—
258C2×C4×C61C2×C4214yes—
259C2×C4×C61C2×C4214yes—
260C2×C4×C61#11714yes—
261C2×C4×C61#11714yes—
262C2×C4×C61C4×D414yes—
263C2×C4×C61C4×D414yes—
264C2×C4×C61#12114yes—
265C2×C4×C61#12314yes—
266C2×C4×C61#12414yes—
267C2×C4×C61#12614yes—
268C2×Dic61—24no—
269C2×Dic61—24no—
270C2×Dic61—24no—
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—24no—
281C2×Dic61—24no—
282C2×Dic61—24no—
283C2×Dic61—24no—
284C2×Dic61—24no—
285C2×Dic61—24no—
286C2×Dic61—42no—
287C2×Dic61—42no—
288C2×Dic61—42no—
289C2×Dic61—42no—
290C2×Dic61—42no—
291C2×Dic61—42no—
292C2×Dic61—42no—
293C2×Dic61—42no—
294C2×Dic61C4×D418yes—
295C2×Dic61C4×D418yes—
296C4×#388—611nomaximal, Sylow
297C22×C61—24no—
298C22×C61—24no—
299C22×C61—24no—
300C22×C61—44no—
301C22×C61—42no—
302C22×C61—42no—
303C22×C61—42no—
304C22×C61—42no—
305C22×C61—44no—
306C22×C61—44no—
307C22×C61—44no—
308C22×C61C22×C4211yescharacteristic
309C22×C61C2×#11711yescharacteristic
310C22×C61C2×#11711yescharacteristic
311C22×C61C2×C4×D412yes—
312C22×C61C2×C4×D412yes—
313C22×C61C2×C4×D411yescharacteristic
314C22×C61C2×C4×D411yescharacteristic
315C22×C61C4×#4112yes—
316C22×C61C4×#4112yes—
317C22×C61C4×#4112yes—
318C22×C61C4×#4112yes—
319C22×C61C4×#4111yescharacteristic
320C22×C61C4×#4111yescharacteristic
321C22×C61C2×#12111yescharacteristic
322C22×C61C2×#12311yescharacteristic
323C22×C61#52512yes—
324C22×C61C2×#12411yescharacteristic
325C22×C61C2×#12611yescharacteristic
326C22×C61#52912yes—
327C22×C61#52912yes—
328C22×C61#52912yes—
329C22×C61#52912yes—
330C22×C61#53212yes—
331C4×C61—24no—
332C4×C61—24no—
333C4×C61—24no—
334C4×C61—42no—
335C4×C61—42no—
336C4×C61#38818yescomplemented
337Dic61—28no—
338Dic61—28no—
339Dic61—44no—
340Dic61—44no—
341C2×#388—612no—
342C2×C4×C4⋊C4—611no—
343C2×C4×C22⋊C4—611no—
344C2×C4×C22⋊C4—611no—
345C2×C4×C22⋊C4D6111yescharacteristic
346C2×C43—611no—
347#1437—612no—
348#1436—612no—
349#1434—612no—
350C4×#95—611no—
351C4×#95—611no—
352C2×C61—44no—
353C2×C61C4×#11711yescharacteristic
354C2×C61C42×D411yescharacteristic
355C2×C61C42×D411yescharacteristic
356C2×C61C2×#38811yescharacteristic
357C2×C61#229011yescharacteristic
358C2×C61#229311yescharacteristic
359C2×C61#229811yescharacteristic
360C2×C61C4×#12112yes—
361C2×C61C4×#12312yes—
362C2×C61C4×#12412yes—
363C2×C61C4×#12612yes—
364C24×C4C2×D6111yescharacteristic
365C22×C4⋊C4—612no—
366C22×C22⋊C4—612no—
367C22×C22⋊C4—612no—
368C22×C22⋊C4C2×D6111yescharacteristic
369C22×C22⋊C4C2×D6111yescharacteristic
370C22×C42—612no—
371C22×C42—611no—
372C22×C42—611no—
373C22×C42—612no—
374C22×C42—611no—
375C22×C42—611no—
376C22×C42C2×D6111yescharacteristic
377C22×C42C2×D6111yescharacteristic
378#388—6116no—
379C4×C4⋊C4—1224no—
380C4×C22⋊C4—1224no—
381C4×C22⋊C4—1224no—
382C4×C22⋊C4Dic6118yescomplemented
383C2×#95—612no—
384C2×#95—612no—
385C2×#95—612no—
386C2×#95—612no—
387C2×#95—612no—
388C2×#95—612no—
389C2×#95—612no—
390C2×#95C2×D6111yescharacteristic
391C2×#95C2×D6111yescharacteristic
392C43—1224no—
393C61C4×#38811yescharacteristic, complemented, Sylow
394C25C22×D6111yescharacteristic
395C23×C4—22no—
396C23×C4—22no—
397C23×C4—22no—
398C23×C4—22no—
399C23×C4—22no—
400C23×C4—22no—
401C23×C4—612no—
402C23×C4—612no—
403C23×C4—612no—
404C23×C4—612no—
405C23×C4C2×Dic6114yes—
406C23×C4C22×D6111yescharacteristic
407C23×C4C22×D6111yescharacteristic
408C23×C4C22×D6111yescharacteristic
409C23×C4C22×D6111yescharacteristic
410C23×C4C22×D6111yescharacteristic
411C23×C4C22×D6111yescharacteristic
412C2×C4⋊C4—618no—
413C2×C4⋊C4—1224no—
414C2×C4⋊C4—1224no—
415C2×C22⋊C4—24no—
416C2×C22⋊C4—618no—
417C2×C22⋊C4—618no—
418C2×C22⋊C4—1224no—
419C2×C22⋊C4—1224no—
420C2×C22⋊C4—1224no—
421C2×C22⋊C4—1224no—
422C2×C22⋊C4C4×D6118yes—
423C2×C22⋊C4C2×Dic6114yes—
424C2×C22⋊C4C2×Dic6114yes—
425C2×C42—22no—
426C2×C42—22no—
427C2×C42—22no—
428C2×C42—22no—
429C2×C42—618no—
430C2×C42—614no—
431C2×C42—614no—
432C2×C42—1224no—
433C2×C42—1224no—
434C2×C42—1224no—
435C2×C42—1224no—
436C2×C42—1224no—
437C2×C42—1222no—
438C2×C42—1222no—
439C2×C42—1222no—
440C2×C42—1222no—
441C2×C42—1222no—
442C2×C42—1222no—
443C2×C42—1222no—
444C2×C42—1222no—
445C2×C42—1222no—
446C2×C42—1222no—
447C2×C42C2×Dic6114yes—
448C2×C42C2×Dic6114yes—
449#95—618no—
450#95—618no—
451#95—1224no—
452#95—1224no—
453#95—1224no—
454#95—1224no—
455#95—1224no—
456#95C2×Dic6114yes—
457#95C2×Dic6114yes—
458C24—21no—
459C24—21no—
460C24—22no—
461C24—22no—
462C24—21no—
463C24—21no—
464C24—22no—
465C24—21no—
466C24—21no—
467C24C2×C4×D6114yes—
468C24C22×Dic6112yes—
469C24C23×D6111yescharacteristic
470C22×C4—21no—
471C22×C4—21no—
472C22×C4—21no—
473C22×C4—22no—
474C22×C4—22no—
475C22×C4—22no—
476C22×C4—21no—
477C22×C4—21no—
478C22×C4—21no—
479C22×C4—21no—
480C22×C4—21no—
481C22×C4—21no—
482C22×C4—22no—
483C22×C4—21no—
484C22×C4—21no—
485C22×C4—21no—
486C22×C4—22no—
487C22×C4—21no—
488C22×C4—21no—
489C22×C4—28no—
490C22×C4—28no—
491C22×C4—28no—
492C22×C4—44no—
493C22×C4—44no—
494C22×C4—44no—
495C22×C4—44no—
496C22×C4—614no—
497C22×C4—614no—
498C22×C4—614no—
499C22×C4—614no—
500C22×C4—614no—
501C22×C4—614no—
502C22×C4—614no—
503C22×C4—614no—
504C22×C4—1222no—
505C22×C4—1222no—
506C22×C4—1222no—
507C22×C4—1222no—
508C22×C4—1222no—
509C22×C4—1222no—
510C22×C4—1222no—
511C22×C4—1222no—
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—1222no—
521C22×C4—1222no—
522C22×C4—1222no—
523C22×C4—1222no—
524C22×C4C2×C4×D6114yes—
525C22×C4C2×C4×D6114yes—
526C22×C4#1175822214yes—
527C22×C4#1175822212yes—
528C22×C4#1175822212yes—
529C22×C4D4×D6112yes—
530C22×C4D4×D6112yes—
531C22×C4#1175822412yes—
532C22×C4#1175822412yes—
533C22×C4C22×Dic6112yes—
534C22×C4C22×Dic6112yes—
535C22×C4C22×Dic6112yes—
536C22×C4C22×Dic6112yes—
537C22×C4C22×Dic6112yes—
538C22×C4C22×Dic6112yes—
539C4⋊C4—12216no—
540C22⋊C4—28no—
541C22⋊C4—12216no—
542C22⋊C4—12216no—
543C22⋊C4C4×Dic61116yescomplemented
544C42—28no—
545C42—28no—
546C42—12216no—
547C42—12216no—
548C42—1228no—
549C42—1228no—
550C42—2444no—
551C42—2444no—
552C23—22no—
553C23—22no—
554C23—24no—
555C23—24no—
556C23—22no—
557C23—22no—
558C23—24no—
559C23—24no—
560C23—24no—
561C23—24no—
562C23—22no—
563C23—22no—
564C23—41no—
565C23—41no—
566C23—42no—
567C23—41no—
568C23—41no—
569C23—42no—
570C23—42no—
571C23—42no—
572C23—42no—
573C23—42no—
574C23C2×C4×Dic6114yes—
575C23C22×C4×D6112yes—
576C23C23×Dic6111yescharacteristic
577C23C2×D4×D6111yescharacteristic
578C23C2×D4×D6111yescharacteristic
579C23#41×D6112yes—
580C23#41×D6112yes—
581C23C2×#1175822411yescharacteristic
582C23C2×#1175822411yescharacteristic
583C23C2×#1175822211yescharacteristic
584C23C2×#1175822211yescharacteristic
585C23C2×#1175822212yes—
586C2×C4—24no—
587C2×C4—24no—
588C2×C4—22no—
589C2×C4—22no—
590C2×C4—22no—
591C2×C4—24no—
592C2×C4—24no—
593C2×C4—22no—
594C2×C4—22no—
595C2×C4—22no—
596C2×C4—24no—
597C2×C4—24no—
598C2×C4—22no—
599C2×C4—22no—
600C2×C4—22no—
601C2×C4—22no—
602C2×C4—22no—
603C2×C4—22no—
604C2×C4—41no—
605C2×C4—41no—
606C2×C4—41no—
607C2×C4—41no—
608C2×C4—42no—
609C2×C4—42no—
610C2×C4—416no—
611C2×C4—618no—
612C2×C4—618no—
613C2×C4—1224no—
614C2×C4—1224no—
615C2×C4—1224no—
616C2×C4—1224no—
617C2×C4—1224no—
618C2×C4—1224no—
619C2×C4—1224no—
620C2×C4—1224no—
621C2×C4—1224no—
622C2×C4—1224no—
623C2×C4—1224no—
624C2×C4—1224no—
625C2×C4—1224no—
626C2×C4—1224no—
627C2×C4—1224no—
628C2×C4—1224no—
629C2×C4—1224no—
630C2×C4—1224no—
631C2×C4—2442no—
632C2×C4—2442no—
633C2×C4—2442no—
634C2×C4—2442no—
635C2×C4—2442no—
636C2×C4—2442no—
637C2×C4—2442no—
638C2×C4—2442no—
639C2×C4C2×C4×Dic6114yes—
640C2×C4C2×C4×Dic6114yes—
641C2×C4#1451973614yes—
642C2×C4#1451973614yes—
643C2×C4D4×Dic6114yes—
644C2×C4D4×Dic6114yes—
645C2×C4#1451975014yes—
646C2×C4#1451975914yes—
647C2×C4#1451976314yes—
648C2×C4#1451977014yes—
649C22—24no—
650C22—24no—
651C22—24no—
652C22—42no—
653C22—42no—
654C22—42no—
655C22—42no—
656C22—44no—
657C22—44no—
658C22—44no—
659C22—44no—
660C22C22×C4×Dic6111yescharacteristic
661C22C2×#1451973611yescharacteristic
662C22C2×#1451973611yescharacteristic
663C22C4×D4×D6112yes—
664C22C4×D4×D6112yes—
665C22C2×D4×Dic6111yescharacteristic
666C22C2×D4×Dic6111yescharacteristic
667C22C4×#1175822412yes—
668C22C4×#1175822412yes—
669C22C4×#1175822212yes—
670C22C4×#1175822212yes—
671C22#41×Dic6111yescharacteristic
672C22#41×Dic6111yescharacteristic
673C22C2×#1451975011yescharacteristic
674C22C2×#1451975911yescharacteristic
675C22#1684027112yes—
676C22C2×#1451976311yescharacteristic
677C22C2×#1451977011yescharacteristic
678C22#1684029012yes—
679C22#1684029012yes—
680C22#1684029212yes—
681C22#1684029412yes—
682C22#1684030912yes—
683C4—24no—
684C4—24no—
685C4—24no—
686C4—42no—
687C4—42no—
688C4—1228no—
689C4—1228no—
690C4—2444no—
691C4—2444no—
692C4#1683965518yesdirect product factor
693C2—44no—
694C2C4×#1451973611yescharacteristic
695C2C4×D4×Dic6111yescharacteristic
696C2C4×D4×Dic6111yescharacteristic
697C2C2×#1683965511yescharacteristic
698C2#2144826411yescharacteristic
699C2#2144828411yescharacteristic
700C2#2144831711yescharacteristic
701C2C4×#1451975012yes—
702C2C4×#1451975912yes—
703C2C4×#1451976312yes—
704C2C4×#1451977012yes—
subgroupG/H
centerC23×C4C22×D61
commutatorC22×C61C22×C42
FrattiniC24C23×D61
FittingC2×C4×C22⋊C4×C61C2
socle, cosocleC24×C61C24
prime radicalC25×C61C23
hypercenterC2×C4×C22⋊C4D61
hypocenterC61C4×#388
LCSG ▷ C22×C61 ▷ C61
UCSC1 ◁ C23×C4 ◁ C2×C4×C22⋊C4

Complements

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

NH ≅ G/Ntype
2. C2×C4×C4⋊Dic61C2semidirect
5. C2×C42×Dic61C2semidirect
7. #21444053C2semidirect
8. #21444044C2semidirect
9. C4×#14519684C2semidirect
10. C4×#14519684C2semidirect
21. #16839655C4direct (N × H)
38. C4×C22⋊C4×C61C4semidirect
47. C2×C4⋊Dic61C2×C4semidirect
69. C2×C4×Dic61C2×C4semidirect
77. #14519684C2×C4semidirect
78. #14519684C2×C4semidirect
187. C22⋊C4×C61C42semidirect
336. C4×C61#388semidirect
382. C4×C22⋊C4Dic61semidirect
393. C61C4×#388semidirect
543. C22⋊C4C4×Dic61semidirect
692. C4#16839655direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#168396552
C2×C4×C4⋊Dic612
C2×C4×C22⋊Dic612
C2×C42×Dic612
#214440562
#214440532
#214440442
C4×#145196842
C2×C4×C22⋊C4×C612
C4×#38861