Finite Group Databasebeta

← C2×#389×D61 #29838356

Subgroups — C2×#389×D61 #29838356

Order 15616.

4894 conjugacy classes of subgroups.

The subgroup lattice has 620 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C4⋊C4×D61C211yesmaximal, characteristic
2C22×C4⋊C4×D61C212yesmaximal
3C22×C4⋊C4×D61C211yesmaximal, characteristic
4C22×C42×D61C211yesmaximal, characteristic
5C2×#16839661C211yesmaximal, characteristic, complemented
6C2×#16839660C211yesmaximal, characteristic, complemented
7C2×#16839659C212yesmaximal, complemented
8C2×#16839658C211yesmaximal, characteristic, complemented
9C2×#16839657C212yesmaximal, complemented
10#389×D61C2116yesmaximal, direct product factor
11C2×#95×D61C212yesmaximal
12C2×C61×#389C211yesmaximal, characteristic, complemented
13C23×C4×D61C2212yes—
14C23×C4×D61C2212yes—
15C23×C4×D61C2211yescharacteristic
16C23×C4×D61C2211yescharacteristic
17C23×C4×D61C2211yescharacteristic
18C22×C4⋊Dic61C2212yes—
19C22×C4⋊Dic61C2211yescharacteristic
20C22×C4⋊Dic61C2211yescharacteristic
21C22×#11758196C2212yes—
22C22×#11758196C2212yes—
23C22×#11758196C2212yes—
24C22×#11758196C2212yes—
25C2×C4⋊C4×D61—216no—
26C2×C4⋊C4×D61—28no—
27C2×C4⋊C4×D61C4116yescomplemented
28C2×C4⋊C4×D61C2218yes—
29C2×C4⋊C4×D61C22116yes—
30C2×C4⋊C4×D61C2218yes—
31C22×C4×Dic61C2211yescharacteristic
32C22×C4×Dic61C2211yescharacteristic
33C22×C4×Dic61C2211yescharacteristic
34C2×C42×D61—28no—
35C2×C42×D61C2218yes—
36#16839661C2218yescomplemented
37#16839660C2218yescomplemented
38#16839659C22116yescomplemented
39#16839658C2218yescomplemented
40#16839657C22116yescomplemented
41C2×#14519684C2212yes—
42C2×#14519684C2212yes—
43C2×#14519684C2212yes—
44#95×D61C22116yes—
45C22×C4⋊C4×C61C2212yes—
46C22×C4⋊C4×C61C2211yescharacteristic
47C22×C4⋊C4×C61C2211yescharacteristic
48C22×C42×C61C2211yescharacteristic
49C61×#389C2218yescomplemented
50C2×#95×C61C2212yes—
51C24×D61C2311yescharacteristic
52C23×Dic61C2312yes—
53C23×Dic61C2312yes—
54C23×Dic61C2311yescharacteristic
55C23×Dic61C2311yescharacteristic
56C23×Dic61C2311yescharacteristic
57C22×C4×D61—24no—
58C22×C4×D61—24no—
59C22×C4×D61—28no—
60C22×C4×D61—28no—
61C22×C4×D61—24no—
62C22×C4×D61—24no—
63C22×C4×D61—28no—
64C22×C4×D61—28no—
65C22×C4×D61—28no—
66C22×C4×D61C2×C4116yes—
67C22×C4×D61C2×C418yes—
68C22×C4×D61D418yes—
69C22×C4×D61D418yes—
70C22×C4×D61Q818yes—
71C22×C4×D61Q818yes—
72C22×C4×D61C2318yes—
73C22×C4×D61C2318yes—
74C22×C4×D61C2314yes—
75C22×C4×D61C2314yes—
76C22×C4×D61C2314yes—
77C2×C4⋊Dic61—24no—
78C2×C4⋊Dic61—28no—
79C2×C4⋊Dic61C2×C418yescomplemented
80C2×C4⋊Dic61C2318yes—
81C2×C4⋊Dic61C2314yes—
82C2×C4⋊Dic61C2314yes—
83C2×#11758196—28no—
84C2×#11758196—28no—
85C2×#11758196—28no—
86C2×#11758196C2×C4116yescomplemented
87C2×#11758196C2318yes—
88C2×#11758196C2318yes—
89C2×#11758196C2318yes—
90C2×#11758196C2318yes—
91C4⋊C4×D61—264no—
92C4⋊C4×D61—232no—
93C4⋊C4×D61C2×C4164yescomplemented
94C2×C4×Dic61—24no—
95C2×C4×Dic61—24no—
96C2×C4×Dic61—24no—
97C2×C4×Dic61C2314yes—
98C2×C4×Dic61C2314yes—
99C2×C4×Dic61C2314yes—
100C42×D61—232no—
101#14519684C2318yes—
102#14519684C2318yes—
103#14519684C2318yes—
104C23×C4×C61C2312yes—
105C23×C4×C61C2312yes—
106C23×C4×C61C2311yescharacteristic
107C23×C4×C61C2311yescharacteristic
108C23×C4×C61C2311yescharacteristic
109C2×C4⋊C4×C61—28no—
110C2×C4⋊C4×C61—24no—
111C2×C4⋊C4×C61C2×C418yescomplemented
112C2×C4⋊C4×C61C2318yes—
113C2×C4⋊C4×C61C2314yes—
114C2×C4⋊C4×C61C2314yes—
115C2×C42×C61—24no—
116C2×C42×C61C2314yes—
117#95×C61C2318yes—
118C24×C61C2411yescharacteristic
119C23×D61C22×C414yes—
120C23×D61C2×D414yes—
121C23×D61C2×D414yes—
122C23×D61C2×Q814yes—
123C23×D61C2×Q814yes—
124C23×D61#4114yes—
125C23×D61#4114yes—
126C23×D61C2412yes—
127C22×C4×C61—22no—
128C22×C4×C61—22no—
129C22×C4×C61—24no—
130C22×C4×C61—24no—
131C22×C4×C61—22no—
132C22×C4×C61—22no—
133C22×C4×C61—24no—
134C22×C4×C61—24no—
135C22×C4×C61—24no—
136C22×C4×C61C22×C418yes—
137C22×C4×C61C22×C414yes—
138C22×C4×C61C2×D414yes—
139C22×C4×C61C2×D414yes—
140C22×C4×C61C2×Q814yes—
141C22×C4×C61C2×Q814yes—
142C22×C4×C61C2414yes—
143C22×C4×C61C2414yes—
144C22×C4×C61C2412yes—
145C22×C4×C61C2412yes—
146C22×C4×C61C2412yes—
147C22×Dic61—22no—
148C22×Dic61—22no—
149C22×Dic61—24no—
150C22×Dic61—24no—
151C22×Dic61—22no—
152C22×Dic61—22no—
153C22×Dic61—24no—
154C22×Dic61—24no—
155C22×Dic61—24no—
156C22×Dic61C22×C418yes—
157C22×Dic61C22×C414yes—
158C22×Dic61C2×D414yes—
159C22×Dic61C2×D414yes—
160C22×Dic61C2×Q814yes—
161C22×Dic61C2×Q814yes—
162C22×Dic61C2414yes—
163C22×Dic61C2414yes—
164C22×Dic61C2412yes—
165C22×Dic61C2412yes—
166C22×Dic61C2412yes—
167C2×C4×D61—264no—
168C2×C4×D61—232no—
169C2×C4×D61—232no—
170C2×C4×D61—28no—
171C2×C4×D61—28no—
172C2×C4×D61—216no—
173C2×C4×D61—216no—
174C2×C4×D61—28no—
175C2×C4×D61—28no—
176C2×C4×D61—216no—
177C2×C4×D61—216no—
178C2×C4×D61—216no—
179C2×C4×D61—432no—
180C2×C4×D61C4⋊C4164yescomplemented
181C2×C4×D61C22×C4132yes—
182C2×C4×D61C22×C4116yes—
183C2×C4×D61C2×D4116yes—
184C2×C4×D61C2×D4116yes—
185C2×C4×D61C2×Q8116yes—
186C2×C4×D61C2×Q8116yes—
187C4⋊C4×C61—216no—
188C4⋊C4×C61—28no—
189C4⋊C4×C61C22×C4116yescomplemented
190C42×C61—28no—
191C4⋊Dic61—28no—
192C4⋊Dic61—216no—
193C4⋊Dic61C22×C4116yescomplemented
194#11758196—216no—
195#11758196—216no—
196#11758196—216no—
197#11758196C22×C4132yescomplemented
198C4×Dic61—28no—
199C4×Dic61—28no—
200C4×Dic61—28no—
201C23×C61C23×C412yes—
202C23×C61C22×D412yes—
203C23×C61C22×D412yes—
204C23×C61C22×Q812yes—
205C23×C61C22×Q812yes—
206C23×C61C2×#4112yes—
207C23×C61C2×#4112yes—
208C23×C61C2511yescharacteristic
209C22×D61C2×C4⋊C4116yes—
210C22×D61C4×D4116yes—
211C22×D61C4×Q8116yes—
212C22×D61#121116yes—
213C22×D61C22⋊Q8116yes—
214C22×D61#125116yes—
215C22×D61C4⋊Q8116yes—
216C22×D61C23×C414yes—
217C22×D61C22×D414yes—
218C22×D61C22×D414yes—
219C22×D61C22×Q814yes—
220C22×D61C22×Q814yes—
221C22×D61C2×#4114yes—
222C22×D61C2×#4114yes—
223C2×C4×C61—216no—
224C2×C4×C61—28no—
225C2×C4×C61—28no—
226C2×C4×C61—22no—
227C2×C4×C61—22no—
228C2×C4×C61—24no—
229C2×C4×C61—24no—
230C2×C4×C61—22no—
231C2×C4×C61—22no—
232C2×C4×C61—24no—
233C2×C4×C61—24no—
234C2×C4×C61—24no—
235C2×C4×C61—48no—
236C2×C4×C61C2×C4⋊C4116yescomplemented
237C2×C4×C61C23×C418yes—
238C2×C4×C61C23×C414yes—
239C2×C4×C61C22×D414yes—
240C2×C4×C61C22×D414yes—
241C2×C4×C61C22×Q814yes—
242C2×C4×C61C22×Q814yes—
243C2×Dic61—216no—
244C2×Dic61—28no—
245C2×Dic61—28no—
246C2×Dic61—22no—
247C2×Dic61—22no—
248C2×Dic61—24no—
249C2×Dic61—24no—
250C2×Dic61—22no—
251C2×Dic61—22no—
252C2×Dic61—24no—
253C2×Dic61—24no—
254C2×Dic61—24no—
255C2×Dic61—48no—
256C2×Dic61C2×C4⋊C4116yescomplemented
257C2×Dic61C23×C418yes—
258C2×Dic61C23×C414yes—
259C2×Dic61C22×D414yes—
260C2×Dic61C22×D414yes—
261C2×Dic61C22×Q814yes—
262C2×Dic61C22×Q814yes—
263C4×D61—264no—
264C4×D61—232no—
265C4×D61—232no—
266C4×D61—432no—
267C4×D61C2×C4⋊C4164yescomplemented
268C22×#389—611nomaximal, Sylow
269C22×C61C22×C4⋊C414yes—
270C22×C61C2×C4×D414yes—
271C22×C61C2×C4×Q814yes—
272C22×C61C2×#12114yes—
273C22×C61C2×C22⋊Q814yes—
274C22×C61C2×#12514yes—
275C22×C61C2×C4⋊Q814yes—
276C22×C61C24×C411yescharacteristic
277C22×C61C23×D411yescharacteristic
278C22×C61C23×D411yescharacteristic
279C22×C61C23×Q811yescharacteristic
280C22×C61C23×Q811yescharacteristic
281C22×C61C22×#4111yescharacteristic
282C22×C61C22×#4111yescharacteristic
283C2×D61#389164yesdirect product factor
284C2×D61C22×C4⋊C418yes—
285C2×D61C2×C4×D418yes—
286C2×D61C2×C4×Q818yes—
287C2×D61C2×#12118yes—
288C2×D61C2×C22⋊Q818yes—
289C2×D61C2×#12518yes—
290C2×D61C2×C4⋊Q818yes—
291C4×C61—28no—
292C4×C61—24no—
293C4×C61—24no—
294C4×C61—44no—
295C4×C61C22×C4⋊C418yescomplemented
296Dic61—28no—
297Dic61—24no—
298Dic61—24no—
299Dic61—44no—
300Dic61C22×C4⋊C418yescomplemented
301C23×C4⋊C4—611no—
302C23×C4⋊C4—611no—
303C23×C4⋊C4—612no—
304C23×C42—611no—
305C2×#389—611no—
306C2×#389—6116no—
307C2×#389—612no—
308C2×#389—612no—
309C2×#389—611no—
310C2×#389—611no—
311C2×#389D6111yescharacteristic, direct product factor
312C22×#95—612no—
313C2×C61C2×#38918yescomplemented
314C2×C61C23×C4⋊C411yescharacteristic
315C2×C61C22×C4×D411yescharacteristic
316C2×C61C22×C4×Q811yescharacteristic
317C2×C61C22×#12111yescharacteristic
318C2×C61C22×C22⋊Q811yescharacteristic
319C2×C61C22×#12511yescharacteristic
320C2×C61C22×C4⋊Q811yescharacteristic
321D61C2×#389116yesdirect product factor
322C24×C4—611no—
323C24×C4—611no—
324C24×C4—611no—
325C24×C4—612no—
326C24×C4—612no—
327C22×C4⋊C4—612no—
328C22×C4⋊C4—611no—
329C22×C4⋊C4—6116no—
330C22×C4⋊C4—618no—
331C22×C4⋊C4—612no—
332C22×C4⋊C4—612no—
333C22×C4⋊C4—612no—
334C22×C4⋊C4—612no—
335C22×C4⋊C4—611no—
336C22×C4⋊C4—618no—
337C22×C4⋊C4—6116no—
338C22×C4⋊C4—1228no—
339C22×C4⋊C4—12216no—
340C22×C4⋊C4C2×D6111yescharacteristic
341C22×C4⋊C4C2×D6112yes—
342C22×C4⋊C4C2×D6111yescharacteristic
343C22×C42—611no—
344C22×C42—611no—
345C22×C42—611no—
346C22×C42—618no—
347C22×C42—1228no—
348C22×C42C2×D6111yescharacteristic
349#389—6116no—
350#389—618no—
351#389—618no—
352#389—618no—
353#389—6116no—
354#389C2×D6118yesdirect product factor
355C2×#95—612no—
356C2×#95—612no—
357C2×#95—612no—
358C2×#95—6116no—
359C2×#95C2×D6112yes—
360C61C22×#38911yescharacteristic, complemented, Sylow
361C25—611no—
362C23×C4—611no—
363C23×C4—618no—
364C23×C4—618no—
365C23×C4—618no—
366C23×C4—614no—
367C23×C4—612no—
368C23×C4—611no—
369C23×C4—611no—
370C23×C4—6116no—
371C23×C4—618no—
372C23×C4—618no—
373C23×C4—618no—
374C23×C4—614no—
375C23×C4—614no—
376C23×C4—612no—
377C23×C4—618no—
378C23×C4—1228no—
379C23×C4—1224no—
380C23×C4—1224no—
381C23×C4—1228no—
382C23×C4—1224no—
383C23×C4—1224no—
384C23×C4—1228no—
385C23×C4—1228no—
386C23×C4—1228no—
387C23×C4C22×D6112yes—
388C23×C4C22×D6112yes—
389C23×C4C22×D6111yescharacteristic
390C23×C4C22×D6111yescharacteristic
391C23×C4C22×D6111yescharacteristic
392C2×C4⋊C4—28no—
393C2×C4⋊C4—24no—
394C2×C4⋊C4—6116no—
395C2×C4⋊C4—618no—
396C2×C4⋊C4—618no—
397C2×C4⋊C4—614no—
398C2×C4⋊C4—6164no—
399C2×C4⋊C4—618no—
400C2×C4⋊C4—618no—
401C2×C4⋊C4—618no—
402C2×C4⋊C4—618no—
403C2×C4⋊C4—614no—
404C2×C4⋊C4—12232no—
405C2×C4⋊C4—12264no—
406C2×C4⋊C4—1228no—
407C2×C4⋊C4—1228no—
408C2×C4⋊C4—1228no—
409C2×C4⋊C4—1228no—
410C2×C4⋊C4—1224no—
411C2×C4⋊C4C4×D6118yescomplemented
412C2×C4⋊C4C22×D6114yes—
413C2×C4⋊C4C22×D6118yes—
414C2×C4⋊C4C22×D6114yes—
415C2×C42—24no—
416C2×C42—614no—
417C2×C42—614no—
418C2×C42—614no—
419C2×C42—12232no—
420C2×C42—1224no—
421C2×C42—1224no—
422C2×C42—1224no—
423C2×C42C22×D6114yes—
424#95—618no—
425#95—618no—
426#95—618no—
427#95C22×D6118yes—
428C24—614no—
429C24—614no—
430C24—614no—
431C24—614no—
432C24—614no—
433C24—614no—
434C24—614no—
435C24—612no—
436C24C23×D6111yescharacteristic
437C22×C4—22no—
438C22×C4—22no—
439C22×C4—24no—
440C22×C4—24no—
441C22×C4—22no—
442C22×C4—22no—
443C22×C4—24no—
444C22×C4—24no—
445C22×C4—24no—
446C22×C4—614no—
447C22×C4—614no—
448C22×C4—614no—
449C22×C4—612no—
450C22×C4—6116no—
451C22×C4—6116no—
452C22×C4—6116no—
453C22×C4—6164no—
454C22×C4—618no—
455C22×C4—614no—
456C22×C4—614no—
457C22×C4—612no—
458C22×C4—614no—
459C22×C4—612no—
460C22×C4—6132no—
461C22×C4—6116no—
462C22×C4—6116no—
463C22×C4—614no—
464C22×C4—1228no—
465C22×C4—1228no—
466C22×C4—12216no—
467C22×C4—12264no—
468C22×C4—12232no—
469C22×C4—12232no—
470C22×C4—12216no—
471C22×C4—1228no—
472C22×C4—1228no—
473C22×C4—12216no—
474C22×C4—12216no—
475C22×C4—12216no—
476C22×C4—1222no—
477C22×C4—1222no—
478C22×C4—1224no—
479C22×C4—1224no—
480C22×C4—1222no—
481C22×C4—1222no—
482C22×C4—1224no—
483C22×C4—1224no—
484C22×C4—1224no—
485C22×C4—24432no—
486C22×C4C2×C4×D6118yes—
487C22×C4C2×C4×D6114yes—
488C22×C4D4×D6114yes—
489C22×C4D4×D6114yes—
490C22×C4Q8×D6114yes—
491C22×C4Q8×D6114yes—
492C22×C4C23×D6114yes—
493C22×C4C23×D6114yes—
494C22×C4C23×D6112yes—
495C22×C4C23×D6112yes—
496C22×C4C23×D6112yes—
497C4⋊C4—216no—
498C4⋊C4—28no—
499C4⋊C4—6132no—
500C4⋊C4—6116no—
501C4⋊C4—12216no—
502C4⋊C4—12216no—
503C4⋊C4—12216no—
504C4⋊C4—12216no—
505C4⋊C4—1228no—
506C4⋊C4C2×C4×D61116yescomplemented
507C42—28no—
508C42—1228no—
509C42—1228no—
510C42—1228no—
511C23—6116no—
512C23—6116no—
513C23—6116no—
514C23—6116no—
515C23—6116no—
516C23—6116no—
517C23—6116no—
518C23—614no—
519C23—614no—
520C23—614no—
521C23—614no—
522C23—614no—
523C23—614no—
524C23—614no—
525C23C22×C4×D6112yes—
526C23C2×D4×D6112yes—
527C23C2×D4×D6112yes—
528C23C2×Q8×D6112yes—
529C23C2×Q8×D6112yes—
530C23#41×D6112yes—
531C23#41×D6112yes—
532C23C24×D6111yescharacteristic
533C2×C4—216no—
534C2×C4—28no—
535C2×C4—28no—
536C2×C4—22no—
537C2×C4—22no—
538C2×C4—24no—
539C2×C4—24no—
540C2×C4—22no—
541C2×C4—22no—
542C2×C4—24no—
543C2×C4—24no—
544C2×C4—24no—
545C2×C4—48no—
546C2×C4—6116no—
547C2×C4—614no—
548C2×C4—614no—
549C2×C4—614no—
550C2×C4—6164no—
551C2×C4—618no—
552C2×C4—614no—
553C2×C4—614no—
554C2×C4—12264no—
555C2×C4—12232no—
556C2×C4—12232no—
557C2×C4—12216no—
558C2×C4—1228no—
559C2×C4—1228no—
560C2×C4—1222no—
561C2×C4—1222no—
562C2×C4—1224no—
563C2×C4—1224no—
564C2×C4—1222no—
565C2×C4—1222no—
566C2×C4—1224no—
567C2×C4—1224no—
568C2×C4—1224no—
569C2×C4—24432no—
570C2×C4—2448no—
571C2×C4C4⋊C4×D61116yescomplemented
572C2×C4C22×C4×D6118yes—
573C2×C4C22×C4×D6114yes—
574C2×C4C2×D4×D6114yes—
575C2×C4C2×D4×D6114yes—
576C2×C4C2×Q8×D6114yes—
577C2×C4C2×Q8×D6114yes—
578C22—618no—
579C22—618no—
580C22—618no—
581C22—6164no—
582C22—618no—
583C22—618no—
584C22—618no—
585C22—618no—
586C22C2×C4⋊C4×D6114yes—
587C22C4×D4×D6114yes—
588C22C4×Q8×D6114yes—
589C22#121×D6114yes—
590C22C22⋊Q8×D6114yes—
591C22#125×D6114yes—
592C22C4⋊Q8×D6114yes—
593C22C23×C4×D6111yescharacteristic
594C22C22×D4×D6111yescharacteristic
595C22C22×D4×D6111yescharacteristic
596C22C22×Q8×D6111yescharacteristic
597C22C22×Q8×D6111yescharacteristic
598C22C2×#41×D6111yescharacteristic
599C22C2×#41×D6111yescharacteristic
600C4—28no—
601C4—24no—
602C4—24no—
603C4—44no—
604C4—618no—
605C4—1228no—
606C4—1224no—
607C4—1224no—
608C4—2444no—
609C4C2×C4⋊C4×D6118yescomplemented
610C2—6116no—
611C2#389×D6118yesdirect product factor
612C2C22×C4⋊C4×D6111yescharacteristic
613C2C2×C4×D4×D6111yescharacteristic
614C2C2×C4×Q8×D6111yescharacteristic
615C2C2×#121×D6111yescharacteristic
616C2C2×C22⋊Q8×D6111yescharacteristic
617C2C2×#125×D6111yescharacteristic
618C2C2×C4⋊Q8×D6111yescharacteristic
subgroupG/H
centerC24C23×D61
commutatorC22×C61C24×C4
FrattiniC23C24×D61
FittingC2×C61×#389C2
socleC24×C61C24
prime radicalC24×D61C23
cosocleC23×C61C25
hypercenterC2×#389D61
hypocenterC61C22×#389
LCSG ▷ C22×C61 ▷ C61
UCSC1 ◁ C24 ◁ C2×#389

Complements

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

NH ≅ G/Ntype
5. C2×#16839661C2semidirect
6. C2×#16839660C2semidirect
7. C2×#16839659C2semidirect
8. C2×#16839658C2semidirect
9. C2×#16839657C2semidirect
10. #389×D61C2direct (N × H)
12. C2×C61×#389C2semidirect
27. C2×C4⋊C4×D61C4semidirect
36. #16839661C22semidirect
37. #16839660C22semidirect
38. #16839659C22semidirect
39. #16839658C22semidirect
40. #16839657C22semidirect
49. C61×#389C22semidirect
79. C2×C4⋊Dic61C2×C4semidirect
86. C2×#11758196C2×C4semidirect
93. C4⋊C4×D61C2×C4semidirect
111. C2×C4⋊C4×C61C2×C4semidirect
180. C2×C4×D61C4⋊C4semidirect
189. C4⋊C4×C61C22×C4semidirect
193. C4⋊Dic61C22×C4semidirect
197. #11758196C22×C4semidirect
236. C2×C4×C61C2×C4⋊C4semidirect
256. C2×Dic61C2×C4⋊C4semidirect
267. C4×D61C2×C4⋊C4semidirect
283. C2×D61#389direct (N × H)
295. C4×C61C22×C4⋊C4semidirect
300. Dic61C22×C4⋊C4semidirect
311. C2×#389D61direct (N × H)
313. C2×C61C2×#389semidirect
321. D61C2×#389direct (N × H)
354. #389C2×D61direct (N × H)
360. C61C22×#389semidirect
411. C2×C4⋊C4C4×D61semidirect
506. C4⋊C4C2×C4×D61semidirect
571. C2×C4C4⋊C4×D61semidirect
609. C4C2×C4⋊C4×D61semidirect
611. C2#389×D61direct (N × H)

Maximal subgroups

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

subgroupindex
C22×C4⋊C4×D612
C22×C42×D612
C2×#168396612
C2×#168396602
C2×#168396592
C2×#168396582
C2×#168396572
#389×D612
C2×#95×D612
C2×C61×#3892
C22×#38961