Finite Group Databasebeta

← #29603439

Subgroups — #29603439

Order 15616.

1506 conjugacy classes of subgroups.

The subgroup lattice has 694 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16839668C211yesmaximal, characteristic
2C2×#16839667C211yesmaximal, characteristic
3C2×#16839667C211yesmaximal, characteristic
4C2×C4⋊C4×Dic61C211yesmaximal, characteristic
5C2×C4×C4⋊Dic61C211yesmaximal, characteristic
6#21444079C212yesmaximal
7#21444075C212yesmaximal
8#21444053C212yesmaximal
9#21444048C211yesmaximal, characteristic
10#21444043C212yesmaximal
11C61×C4⋊#95C211yesmaximal, characteristic
12C23×Dic122C2211yescharacteristic
13C22×C4⋊Dic61C2211yescharacteristic
14C22×C4⋊Dic61C2211yescharacteristic
15C22×C4⋊Dic61C2211yescharacteristic
16C22×C4×Dic61C2211yescharacteristic
17C22×C4×Dic61C2212yes—
18C22×C4×Dic61C2211yescharacteristic
19#16839668C418yescomplemented
20#16839667—24no—
21#16839667—24no—
22C4⋊C4×Dic61—24no—
23C4×C4⋊Dic61—24no—
24C2×#14519684C2212yes—
25C2×#14519684C2212yes—
26C2×#14519684C2212yes—
27C2×#14519684C2212yes—
28C2×#14519684C2211yescharacteristic
29C2×#14519684C2212yes—
30C2×#14519684C2211yescharacteristic
31C2×#14519684C2212yes—
32C2×#14519684C2212yes—
33C2×#14519684C2212yes—
34C2×#14519684C2212yes—
35C22×C4⋊C4×C61C2211yescharacteristic
36C22×C4⋊C4×C61C2211yescharacteristic
37C22×C42×C61C2211yescharacteristic
38C2×#95×C61C2212yes—
39C2×#95×C61C2212yes—
40C22×Dic122—22no—
41C22×Dic122—22no—
42C22×Dic122—22no—
43C22×Dic122—22no—
44C22×Dic122—22no—
45C22×Dic122—22no—
46C22×Dic122C2×C414yes—
47C23×Dic61C2312yes—
48C23×Dic61C2312yes—
49C23×Dic61C2311yescharacteristic
50C23×Dic61C2311yescharacteristic
51C23×Dic61C2311yescharacteristic
52C23×Dic61C2311yescharacteristic
53C2×C4⋊Dic61—22no—
54C2×C4⋊Dic61—22no—
55C2×C4⋊Dic61—22no—
56C2×C4⋊Dic61—22no—
57C2×C4⋊Dic61—22no—
58C2×C4⋊Dic61—22no—
59C2×C4⋊Dic61—22no—
60C2×C4⋊Dic61C2×C414yes—
61C2×C4⋊Dic61Q814yescomplemented
62C2×C4×Dic61—22no—
63C2×C4×Dic61—22no—
64C2×C4×Dic61—22no—
65C2×C4×Dic61—24no—
66C2×C4×Dic61—22no—
67C2×C4×Dic61—22no—
68C2×C4×Dic61—24no—
69C2×C4×Dic61—42no—
70C2×C4×Dic61D414yes—
71#14519684—24no—
72#14519684—24no—
73#14519684—24no—
74#14519684—22no—
75#14519684—22no—
76#14519684—24no—
77#14519684—24no—
78#14519684—24no—
79#14519684—42no—
80#14519684C2×C418yes—
81#14519684C2×C418yes—
82C23×C4×C61C2312yes—
83C23×C4×C61C2311yescharacteristic
84C23×C4×C61C2312yes—
85C23×C4×C61C2311yescharacteristic
86C23×C4×C61C2311yescharacteristic
87C2×C4⋊C4×C61—22no—
88C2×C4⋊C4×C61—22no—
89C2×C4⋊C4×C61—22no—
90C2×C4⋊C4×C61—22no—
91C2×C4⋊C4×C61—22no—
92C2×C4⋊C4×C61D414yes—
93C2×C42×C61—22no—
94C2×C42×C61—22no—
95C2×C42×C61C2×C414yes—
96#95×C61—24no—
97#95×C61—42no—
98C24×C61C2411yescharacteristic
99C22×C4×C61—21no—
100C22×C4×C61—21no—
101C22×C4×C61—21no—
102C22×C4×C61—21no—
103C22×C4×C61—21no—
104C22×C4×C61—22no—
105C22×C4×C61—21no—
106C22×C4×C61—22no—
107C22×C4×C61—22no—
108C22×C4×C61—22no—
109C22×C4×C61—21no—
110C22×C4×C61—22no—
111C22×C4×C61—21no—
112C22×C4×C61—21no—
113C22×C4×C61—21no—
114C22×C4×C61—22no—
115C22×C4×C61—22no—
116C22×C4×C61—22no—
117C22×C4×C61—22no—
118C22×C4×C61—22no—
119C22×C4×C61—22no—
120C22×C4×C61—22no—
121C22×C4×C61—22no—
122C22×C4×C61C22×C412yes—
123C22×C4×C61C22×C412yes—
124C22×C4×C61C22×C412yes—
125C22×C4×C61C2×D414yes—
126C22×C4×C61C2×D412yes—
127C22×C4×C61C2×D412yes—
128C22×C4×C61C2×Q812yes—
129C22×C4×C61#4112yes—
130C22×C4×C61#4112yes—
131C22×C4×C61#4112yes—
132C22×C4×C61#4112yes—
133C22×C4×C61#4112yes—
134C22×Dic61—21no—
135C22×Dic61—21no—
136C22×Dic61—21no—
137C22×Dic61—21no—
138C22×Dic61—22no—
139C22×Dic61—22no—
140C22×Dic61—21no—
141C22×Dic61—21no—
142C22×Dic61—21no—
143C22×Dic61—22no—
144C22×Dic61—21no—
145C22×Dic61—21no—
146C22×Dic61—22no—
147C22×Dic61—22no—
148C22×Dic61—22no—
149C22×Dic61—22no—
150C22×Dic61—22no—
151C22×Dic61—22no—
152C22×Dic61—21no—
153C22×Dic61—21no—
154C22×Dic61—21no—
155C22×Dic61—22no—
156C22×Dic61—21no—
157C22×Dic61—21no—
158C22×Dic61—21no—
159C22×Dic61—21no—
160C22×Dic61—21no—
161C22×Dic61—22no—
162C22×Dic61—22no—
163C22×Dic61—21no—
164C22×Dic61—21no—
165C22×Dic61—21no—
166C22×Dic61—21no—
167C22×Dic61—21no—
168C22×Dic61C22×C414yes—
169C22×Dic61C22×C414yes—
170C22×Dic61C2×D412yes—
171C22×Dic61C2×D412yes—
172C22×Dic61C2×Q812yes—
173C22×Dic61C2×Q812yes—
174C22×Dic61#4112yes—
175C22×Dic61#4112yes—
176C2×Dic122—28no—
177C2×Dic122—28no—
178C2×Dic122—28no—
179C2×Dic122—44no—
180C2×Dic122—44no—
181C2×Dic122—44no—
182C2×Dic122—44no—
183C4⋊C4×C61—28no—
184C4⋊C4×C61—44no—
185C42×C61—28no—
186C4⋊Dic61—28no—
187C4⋊Dic61—28no—
188C4⋊Dic61—28no—
189C4×Dic61—28no—
190C4×Dic61—48no—
191C4×Dic61—44no—
192C23×C61C23×C411yescharacteristic
193C23×C61C22×D411yescharacteristic
194C23×C61C22×D411yescharacteristic
195C23×C61C22×Q811yescharacteristic
196C23×C61C2×#4111yescharacteristic
197C23×C61C2×#4111yescharacteristic
198C23×C61C2×#4111yescharacteristic
199C23×C61C2×#4111yescharacteristic
200C23×C61C2×#4111yescharacteristic
201C23×C61C2×#4111yescharacteristic
202C23×C61C2×#4111yescharacteristic
203C23×C61H(5,𝔽2)11yescharacteristic
204C23×C612−1+411yescharacteristic
205C23×C612−1+411yescharacteristic
206C23×C612−1+411yescharacteristic
207C2×C4×C61—22no—
208C2×C4×C61—22no—
209C2×C4×C61—22no—
210C2×C4×C61—22no—
211C2×C4×C61—22no—
212C2×C4×C61—22no—
213C2×C4×C61—22no—
214C2×C4×C61—22no—
215C2×C4×C61—22no—
216C2×C4×C61—24no—
217C2×C4×C61—24no—
218C2×C4×C61—24no—
219C2×C4×C61—42no—
220C2×C4×C61—41no—
221C2×C4×C61—41no—
222C2×C4×C61—41no—
223C2×C4×C61—41no—
224C2×C4×C61—42no—
225C2×C4×C61—42no—
226C2×C4×C61—42no—
227C2×C4×C61—42no—
228C2×C4×C61—42no—
229C2×C4×C61—42no—
230C2×C4×C61—42no—
231C2×C4×C61—42no—
232C2×C4×C61—42no—
233C2×C4×C61—42no—
234C2×C4×C61#11714yes—
235C2×C4×C61C4×D414yes—
236C2×C4×C61C4×D414yes—
237C2×C4×C61C4×Q814yes—
238C2×C4×C61#12114yes—
239C2×C4×C61#12314yes—
240C2×C4×C61#12414yes—
241C2×C4×C61#12614yes—
242C2×Dic61—22no—
243C2×Dic61—22no—
244C2×Dic61—22no—
245C2×Dic61—22no—
246C2×Dic61—22no—
247C2×Dic61—22no—
248C2×Dic61—24no—
249C2×Dic61—24no—
250C2×Dic61—24no—
251C2×Dic61—24no—
252C2×Dic61—24no—
253C2×Dic61—24no—
254C2×Dic61—22no—
255C2×Dic61—22no—
256C2×Dic61—22no—
257C2×Dic61—22no—
258C2×Dic61—22no—
259C2×Dic61—22no—
260C2×Dic61—22no—
261C2×Dic61—22no—
262C2×Dic61—22no—
263C2×Dic61—41no—
264C2×Dic61—41no—
265C2×Dic61—42no—
266C2×Dic61—42no—
267C2×Dic61—42no—
268C2×Dic61—42no—
269C2×Dic61—41no—
270C2×Dic61—41no—
271C2×Dic61—42no—
272C2×Dic61—41no—
273C2×Dic61—41no—
274C2×Dic61—41no—
275C2×Dic61—42no—
276C2×Dic61—41no—
277C2×Dic61—41no—
278C2×Dic61—41no—
279C2×Dic61—42no—
280C2×Dic61—41no—
281C2×Dic61—41no—
282C2×Dic61—42no—
283C2×Dic61C22⋊Q814yes—
284Dic122—416no—
285#14021—611nomaximal, Sylow
286C22×C61C2×#11711yescharacteristic
287C22×C61C2×C4×D411yescharacteristic
288C22×C61C2×C4×D411yescharacteristic
289C22×C61C2×C4×Q811yescharacteristic
290C22×C61C4×#4111yescharacteristic
291C22×C61#51911yescharacteristic
292C22×C61#52011yescharacteristic
293C22×C61C2×#12111yescharacteristic
294C22×C61C2×C22⋊Q811yescharacteristic
295C22×C61C2×#12311yescharacteristic
296C22×C61#52511yescharacteristic
297C22×C61C2×#12411yescharacteristic
298C22×C61C2×#12611yescharacteristic
299C22×C61#52911yescharacteristic
300C22×C61#53311yescharacteristic
301C22×C61#53611yescharacteristic
302C22×C61#53711yescharacteristic
303C22×C61#54111yescharacteristic
304C22×C61#54211yescharacteristic
305C22×C61#54611yescharacteristic
306C22×C61#54711yescharacteristic
307C22×C61#54811yescharacteristic
308C22×C61D4×Q811yescharacteristic
309C22×C61#55211yescharacteristic
310C22×C61#55211yescharacteristic
311C22×C61#55411yescharacteristic
312C22×C61#55611yescharacteristic
313C22×C61#55611yescharacteristic
314C22×C61#55611yescharacteristic
315C22×C61#55611yescharacteristic
316C22×C61#55611yescharacteristic
317C22×C61#55711yescharacteristic
318C22×C61#55711yescharacteristic
319C22×C61#55911yescharacteristic
320C22×C61#55911yescharacteristic
321C4×C61—24no—
322C4×C61—42no—
323C4×C61—44no—
324C4×C61—82no—
325C4×C61#38818yes—
326Dic61—24no—
327Dic61—44no—
328Dic61—42no—
329Dic61—42no—
330Dic61—42no—
331Dic61—44no—
332C2×#391—611no—
333C2×#391—611no—
334C2×#391—611no—
335C2×C4×C4⋊C4—611no—
336C2×C4×C4⋊C4—611no—
337#1443—612no—
338#1442—612no—
339#1436—612no—
340C4⋊#95—611no—
341C4⋊#95D6111yescharacteristic
342#1434—612no—
343C2×C61C2×#38811yescharacteristic
344C2×C61C4×C22⋊Q811yescharacteristic
345C2×C61#232311yescharacteristic
346C2×C61#235511yescharacteristic
347C2×C61#235611yescharacteristic
348C2×C61#236511yescharacteristic
349C2×C61#236711yescharacteristic
350C2×C61#241511yescharacteristic
351C2×C61#241711yescharacteristic
352C2×C61#244611yescharacteristic
353C2×C61#244711yescharacteristic
354C2×C61#251111yescharacteristic
355C2×C61#251411yescharacteristic
356C2×C61#256811yescharacteristic
357C2×C61#259211yescharacteristic
358C23×Q8—611no—
359C22×C4⋊C4—611no—
360C22×C4⋊C4—611no—
361C22×C4⋊C4—611no—
362C22×C4⋊C4C2×D6111yescharacteristic
363C22×C4⋊C4C2×D6111yescharacteristic
364C22×C42—611no—
365C22×C42—611no—
366C22×C42—612no—
367C22×C42C2×D6111yescharacteristic
368#391—618no—
369#391—1224no—
370#391—1224no—
371C4×C4⋊C4—1224no—
372C4×C4⋊C4—1224no—
373C2×#95—612no—
374C2×#95—612no—
375C2×#95—611no—
376C2×#95—612no—
377C2×#95—612no—
378C2×#95—612no—
379C2×#95—612no—
380C2×#95—612no—
381C2×#95—612no—
382C2×#95—611no—
383C2×#95—612no—
384C2×#95C2×D6112yes—
385C2×#95C2×D6112yes—
386C61#1402111yescharacteristic, complemented, Sylow
387C22×Q8—614no—
388C22×Q8—1222no—
389C22×Q8—1222no—
390C22×Q8—1222no—
391C22×Q8—1222no—
392C22×Q8—1222no—
393C22×Q8—1222no—
394C23×C4—611no—
395C23×C4—612no—
396C23×C4—611no—
397C23×C4—611no—
398C23×C4—611no—
399C23×C4—612no—
400C23×C4C22×D6112yes—
401C23×C4C22×D6111yescharacteristic
402C23×C4C22×D6112yes—
403C23×C4C22×D6111yescharacteristic
404C23×C4C22×D6111yescharacteristic
405C2×C4⋊C4—22no—
406C2×C4⋊C4—22no—
407C2×C4⋊C4—22no—
408C2×C4⋊C4—22no—
409C2×C4⋊C4—22no—
410C2×C4⋊C4—614no—
411C2×C4⋊C4—614no—
412C2×C4⋊C4—1222no—
413C2×C4⋊C4—1222no—
414C2×C4⋊C4—1222no—
415C2×C4⋊C4—1222no—
416C2×C4⋊C4—1222no—
417C2×C4⋊C4—1222no—
418C2×C4⋊C4—1222no—
419C2×C4⋊C4D24414yes—
420C2×C42—22no—
421C2×C42—22no—
422C2×C42—614no—
423C2×C42—1222no—
424C2×C42—1222no—
425C2×C42—1224no—
426C2×C42—1224no—
427C2×C42—1222no—
428C2×C42—1222no—
429C2×C42—1222no—
430C2×C42—2442no—
431C2×C42C4×D6114yes—
432#95—24no—
433#95—42no—
434#95—618no—
435#95—618no—
436#95—1222no—
437#95—1222no—
438#95—1224no—
439#95—1224no—
440#95—1224no—
441#95—1224no—
442#95—1224no—
443#95—1224no—
444#95—2442no—
445C24C23×D6111yescharacteristic
446C2×Q8—1228no—
447C2×Q8—1228no—
448C2×Q8—1228no—
449C2×Q8—2444no—
450C2×Q8—2444no—
451C2×Q8—2444no—
452C2×Q8—2444no—
453C22×C4—21no—
454C22×C4—21no—
455C22×C4—21no—
456C22×C4—21no—
457C22×C4—21no—
458C22×C4—22no—
459C22×C4—22no—
460C22×C4—21no—
461C22×C4—22no—
462C22×C4—22no—
463C22×C4—21no—
464C22×C4—22no—
465C22×C4—21no—
466C22×C4—21no—
467C22×C4—22no—
468C22×C4—21no—
469C22×C4—22no—
470C22×C4—22no—
471C22×C4—22no—
472C22×C4—22no—
473C22×C4—22no—
474C22×C4—22no—
475C22×C4—22no—
476C22×C4—612no—
477C22×C4—612no—
478C22×C4—612no—
479C22×C4—614no—
480C22×C4—614no—
481C22×C4—612no—
482C22×C4—612no—
483C22×C4—612no—
484C22×C4—1221no—
485C22×C4—1221no—
486C22×C4—1221no—
487C22×C4—1221no—
488C22×C4—1222no—
489C22×C4—1221no—
490C22×C4—1221no—
491C22×C4—1221no—
492C22×C4—1221no—
493C22×C4—1221no—
494C22×C4—1222no—
495C22×C4—1222no—
496C22×C4—1222no—
497C22×C4—1222no—
498C22×C4—1221no—
499C22×C4—1221no—
500C22×C4—1221no—
501C22×C4—1221no—
502C22×C4—1222no—
503C22×C4—1222no—
504C22×C4—1222no—
505C22×C4—1222no—
506C22×C4—1221no—
507C22×C4—1221no—
508C22×C4—1221no—
509C22×C4—1222no—
510C22×C4—1221no—
511C22×C4—1222no—
512C22×C4—1221no—
513C22×C4—1221no—
514C22×C4—1221no—
515C22×C4—1222no—
516C22×C4—1221no—
517C22×C4—1221no—
518C22×C4C2×C4×D6112yes—
519C22×C4C2×C4×D6112yes—
520C22×C4C2×C4×D6112yes—
521C22×C4C2×D24414yes—
522C22×C4C2×D24412yes—
523C22×C4#1175822212yes—
524C22×C4D4×D6112yes—
525C22×C4#1175822412yes—
526C22×C4#1175822412yes—
527C22×C4#1175822412yes—
528C22×C4Q8×D6112yes—
529C22×C4#1175822612yes—
530C4⋊C4—28no—
531C4⋊C4—44no—
532C4⋊C4—1228no—
533C4⋊C4—1228no—
534C4⋊C4—1228no—
535C42—28no—
536C42—1228no—
537C42—2448no—
538C42—2444no—
539C23C22×C4×D6111yescharacteristic
540C23C2×D4×D6111yescharacteristic
541C23C22×D24411yescharacteristic
542C23C2×Q8×D6111yescharacteristic
543C23#41×D6111yescharacteristic
544C23#41×D6111yescharacteristic
545C23C2×#1175822411yescharacteristic
546C23C2×#1175822411yescharacteristic
547C23C2×#1175822411yescharacteristic
548C23C2×#1175822211yescharacteristic
549C23C2×#1175822611yescharacteristic
550C23#1451982211yescharacteristic
551C23#1451982411yescharacteristic
552C23#1451982411yescharacteristic
553C23#1451982511yescharacteristic
554Q8—24416no—
555C2×C4—22no—
556C2×C4—22no—
557C2×C4—22no—
558C2×C4—22no—
559C2×C4—22no—
560C2×C4—22no—
561C2×C4—22no—
562C2×C4—22no—
563C2×C4—22no—
564C2×C4—24no—
565C2×C4—24no—
566C2×C4—24no—
567C2×C4—42no—
568C2×C4—42no—
569C2×C4—42no—
570C2×C4—41no—
571C2×C4—41no—
572C2×C4—41no—
573C2×C4—41no—
574C2×C4—42no—
575C2×C4—42no—
576C2×C4—42no—
577C2×C4—42no—
578C2×C4—42no—
579C2×C4—42no—
580C2×C4—42no—
581C2×C4—42no—
582C2×C4—614no—
583C2×C4—1222no—
584C2×C4—1222no—
585C2×C4—1222no—
586C2×C4—1222no—
587C2×C4—1222no—
588C2×C4—1222no—
589C2×C4—1222no—
590C2×C4—1224no—
591C2×C4—1222no—
592C2×C4—1224no—
593C2×C4—1224no—
594C2×C4—1224no—
595C2×C4—1224no—
596C2×C4—1224no—
597C2×C4—1222no—
598C2×C4—1222no—
599C2×C4—1222no—
600C2×C4—1222no—
601C2×C4—1222no—
602C2×C4—1222no—
603C2×C4—1222no—
604C2×C4—2441no—
605C2×C4—2441no—
606C2×C4—2442no—
607C2×C4—2441no—
608C2×C4—2441no—
609C2×C4—2442no—
610C2×C4—2441no—
611C2×C4—2441no—
612C2×C4—2442no—
613C2×C4—2442no—
614C2×C4—2442no—
615C2×C4—2442no—
616C2×C4—2441no—
617C2×C4—2441no—
618C2×C4—2442no—
619C2×C4—2441no—
620C2×C4—2441no—
621C2×C4—2441no—
622C2×C4—2441no—
623C2×C4—2442no—
624C2×C4#1451973514yes—
625C2×C4#1451973714yes—
626C2×C4C4×D24414yes—
627C2×C4#1451974214yes—
628C2×C4#1451975214yes—
629C2×C4#1451976114yes—
630C2×C4#1451976314yes—
631C2×C4#1451977214yes—
632C22C2×#1451973511yescharacteristic
633C22C2×#1451973711yescharacteristic
634C22C2×C4×D24411yescharacteristic
635C22C2×#1451974211yescharacteristic
636C22#1684023011yescharacteristic
637C22#1684023911yescharacteristic
638C22#1684024311yescharacteristic
639C22C2×#1451975211yescharacteristic
640C22C22⋊Q8×D6111yescharacteristic
641C22C2×#1451976111yescharacteristic
642C22#1684027211yescharacteristic
643C22C2×#1451976311yescharacteristic
644C22C2×#1451977211yescharacteristic
645C22#1684029311yescharacteristic
646C22#1684031411yescharacteristic
647C22#1684033511yescharacteristic
648C22#1684034111yescharacteristic
649C22#1684037211yescharacteristic
650C22#1684037911yescharacteristic
651C22#1684040711yescharacteristic
652C22#1684041611yescharacteristic
653C22#1684042411yescharacteristic
654C22Q8×D24411yescharacteristic
655C22#1684045011yescharacteristic
656C22#1684045011yescharacteristic
657C22#1684047311yescharacteristic
658C22#1684048111yescharacteristic
659C22#1684048111yescharacteristic
660C22#1684048211yescharacteristic
661C22#1684048411yescharacteristic
662C22#1684048611yescharacteristic
663C22#1684048711yescharacteristic
664C22#1684049011yescharacteristic
665C22#1684049511yescharacteristic
666C22#1684049811yescharacteristic
667C4—24no—
668C4—42no—
669C4—44no—
670C4—82no—
671C4—1224no—
672C4—2442no—
673C4—2442no—
674C4—2442no—
675C4—2444no—
676C4—2444no—
677C4#1683965418yes—
678C2C2×#1683965411yescharacteristic
679C2#2144834711yescharacteristic
680C2#2144849711yescharacteristic
681C2#2144877811yescharacteristic
682C2#2144878611yescharacteristic
683C2#2144887711yescharacteristic
684C2#2144889011yescharacteristic
685C2#2144924611yescharacteristic
686C2#2144926811yescharacteristic
687C2#2144959311yescharacteristic
688C2#2144960411yescharacteristic
689C2#2145039711yescharacteristic
690C2#2145043011yescharacteristic
691C2#2145103311yescharacteristic
692C2#2145130411yescharacteristic
subgroupG/H
center, FrattiniC24C23×D61
commutatorC23×C61C23×C4
FittingC61×C4⋊#95C2
socle, prime radical, cosocleC24×C61C24
hypercenterC4⋊#95D61
hypocenterC61#14021
LCSG ▷ C23×C61 ▷ C61
UCSC1 ◁ C24 ◁ C4⋊#95

Complements

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

NH ≅ G/Ntype
19. #16839668C4semidirect
61. C2×C4⋊Dic61Q8semidirect
386. C61#14021semidirect

Maximal subgroups

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

subgroupindex
C2×#168396682
C2×#168396672
C2×C4⋊C4×Dic612
C2×C4×C4⋊Dic612
#214440792
#214440752
#214440532
#214440482
#214440432
C61×C4⋊#952
#1402161