Finite Group Databasebeta

← #29602295

Subgroups — #29602295

Order 15616.

1486 conjugacy classes of subgroups.

The subgroup lattice has 682 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16839631C211yesmaximal, characteristic
2C2×#16839626C212yesmaximal
3C2×C4⋊C4×Dic61C211yesmaximal, characteristic
4C2×C4×#11758196C211yesmaximal, characteristic
5#21444077C212yesmaximal
6#21444074C212yesmaximal
7#21444049C211yesmaximal, characteristic
8#21444048C211yesmaximal, characteristic
9#21444048C211yesmaximal, characteristic
10#21444047C212yesmaximal
11C61×C4⋊#95C211yesmaximal, characteristic
12C22×C4⋊Dic61C2211yescharacteristic
13C22×C4⋊Dic61C2211yescharacteristic
14C22×#11758196C2212yes—
15C22×#11758196C2211yescharacteristic
16C22×#11758196C2211yescharacteristic
17C22×#11758196C2212yes—
18C22×C4×Dic61C2211yescharacteristic
19C22×C4×Dic61C2212yes—
20C22×C4×Dic61C2211yescharacteristic
21#16839631—24no—
22#16839626—28no—
23C4⋊C4×Dic61C418yescomplemented
24C4×#11758196—24no—
25C2×#14519684C2212yes—
26C2×#14519684C2212yes—
27C2×#14519684C2212yes—
28C2×#14519684C2211yescharacteristic
29C2×#14519684C2211yescharacteristic
30C2×#14519684C2212yes—
31C2×#14519684C2212yes—
32C2×#14519684C2212yes—
33C2×#14519684C2212yes—
34C22×C4⋊C4×C61C2211yescharacteristic
35C22×C4⋊C4×C61C2211yescharacteristic
36C22×C42×C61C2211yescharacteristic
37C2×#95×C61C2212yes—
38C2×#95×C61C2212yes—
39C23×Dic61C2312yes—
40C23×Dic61C2312yes—
41C23×Dic61C2311yescharacteristic
42C23×Dic61C2311yescharacteristic
43C23×Dic61C2311yescharacteristic
44C23×Dic61C2311yescharacteristic
45C2×C4⋊Dic61—22no—
46C2×C4⋊Dic61—22no—
47C2×C4⋊Dic61—22no—
48C2×C4⋊Dic61—22no—
49C2×C4⋊Dic61—22no—
50C2×C4⋊Dic61C2×C414yes—
51C2×#11758196—22no—
52C2×#11758196—22no—
53C2×#11758196—22no—
54C2×#11758196—22no—
55C2×#11758196—24no—
56C2×#11758196—24no—
57C2×#11758196—24no—
58C2×#11758196—24no—
59C2×#11758196—42no—
60C2×#11758196—42no—
61C2×#11758196D414yes—
62C2×#11758196Q814yes—
63C2×C4×Dic61—24no—
64C2×C4×Dic61—24no—
65C2×C4×Dic61—22no—
66C2×C4×Dic61—22no—
67C2×C4×Dic61—22no—
68C2×C4×Dic61C2×C418yes—
69C2×C4×Dic61C2×C414yes—
70C2×C4×Dic61D414yes—
71C2×C4×Dic61Q814yes—
72#14519684—24no—
73#14519684—22no—
74#14519684—22no—
75#14519684—24no—
76#14519684—24no—
77#14519684—42no—
78#14519684—42no—
79#14519684—42no—
80#14519684C2×C418yes—
81C23×C4×C61C2312yes—
82C23×C4×C61C2312yes—
83C23×C4×C61C2311yescharacteristic
84C23×C4×C61C2311yescharacteristic
85C23×C4×C61C2311yescharacteristic
86C2×C4⋊C4×C61—22no—
87C2×C4⋊C4×C61—22no—
88C2×C4⋊C4×C61—22no—
89C2×C4⋊C4×C61—22no—
90C2×C4⋊C4×C61—22no—
91C2×C4⋊C4×C61C2×C414yes—
92C2×C42×C61—22no—
93C2×C42×C61—22no—
94C2×C42×C61—22no—
95#95×C61—24no—
96#95×C61—42no—
97C24×C61C2411yescharacteristic
98C22×C4×C61—22no—
99C22×C4×C61—21no—
100C22×C4×C61—21no—
101C22×C4×C61—21no—
102C22×C4×C61—21no—
103C22×C4×C61—21no—
104C22×C4×C61—21no—
105C22×C4×C61—22no—
106C22×C4×C61—22no—
107C22×C4×C61—22no—
108C22×C4×C61—21no—
109C22×C4×C61—21no—
110C22×C4×C61—21no—
111C22×C4×C61—22no—
112C22×C4×C61—21no—
113C22×C4×C61—22no—
114C22×C4×C61—21no—
115C22×C4×C61—21no—
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×C61—22no—
123C22×C4×C61C22×C414yes—
124C22×C4×C61C22×C412yes—
125C22×C4×C61C2×D412yes—
126C22×C4×C61C2×D412yes—
127C22×C4×C61C2×Q812yes—
128C22×C4×C61C2×Q812yes—
129C22×C4×C61#4112yes—
130C22×C4×C61#4112yes—
131C22×C4×C61#4112yes—
132C22×C4×C61#4112yes—
133C22×Dic61—21no—
134C22×Dic61—21no—
135C22×Dic61—21no—
136C22×Dic61—21no—
137C22×Dic61—22no—
138C22×Dic61—21no—
139C22×Dic61—21no—
140C22×Dic61—22no—
141C22×Dic61—21no—
142C22×Dic61—21no—
143C22×Dic61—21no—
144C22×Dic61—21no—
145C22×Dic61—21no—
146C22×Dic61—21no—
147C22×Dic61—22no—
148C22×Dic61—22no—
149C22×Dic61—22no—
150C22×Dic61—21no—
151C22×Dic61—21no—
152C22×Dic61—22no—
153C22×Dic61—21no—
154C22×Dic61—21no—
155C22×Dic61—22no—
156C22×Dic61—22no—
157C22×Dic61—22no—
158C22×Dic61—22no—
159C22×Dic61—22no—
160C22×Dic61—22no—
161C22×Dic61—22no—
162C22×Dic61C22×C414yes—
163C22×Dic61C22×C412yes—
164C22×Dic61C22×C412yes—
165C22×Dic61C2×D412yes—
166C22×Dic61C2×D412yes—
167C22×Dic61C2×D412yes—
168C22×Dic61C2×D412yes—
169C22×Dic61C2×Q812yes—
170C22×Dic61C2×Q812yes—
171C22×Dic61C2×Q812yes—
172C22×Dic61C2×Q812yes—
173C22×Dic61#4112yes—
174C22×Dic61#4112yes—
175C4⋊C4×C61—28no—
176C4⋊C4×C61—44no—
177C42×C61—44no—
178C4⋊Dic61—28no—
179C4⋊Dic61—44no—
180#11758196—28no—
181#11758196—28no—
182#11758196—48no—
183#11758196—48no—
184C4×Dic61—216no—
185C4×Dic61—44no—
186C4×Dic61C4⋊C4116yes—
187C23×C61C23×C411yescharacteristic
188C23×C61C22×D411yescharacteristic
189C23×C61C22×D411yescharacteristic
190C23×C61C22×Q811yescharacteristic
191C23×C61C22×Q811yescharacteristic
192C23×C61C2×#4111yescharacteristic
193C23×C61C2×#4111yescharacteristic
194C23×C61C2×#4111yescharacteristic
195C23×C61C2×#4111yescharacteristic
196C23×C61C2×#4111yescharacteristic
197C23×C61C2×#4111yescharacteristic
198C23×C61H(5,𝔽2)11yescharacteristic
199C23×C61H(5,𝔽2)11yescharacteristic
200C23×C612−1+411yescharacteristic
201C23×C612−1+411yescharacteristic
202C2×C4×C61—24no—
203C2×C4×C61—24no—
204C2×C4×C61—24no—
205C2×C4×C61—22no—
206C2×C4×C61—22no—
207C2×C4×C61—22no—
208C2×C4×C61—22no—
209C2×C4×C61—22no—
210C2×C4×C61—22no—
211C2×C4×C61—41no—
212C2×C4×C61—41no—
213C2×C4×C61—41no—
214C2×C4×C61—41no—
215C2×C4×C61—42no—
216C2×C4×C61—42no—
217C2×C4×C61—41no—
218C2×C4×C61—41no—
219C2×C4×C61—42no—
220C2×C4×C61—42no—
221C2×C4×C61—41no—
222C2×C4×C61—41no—
223C2×C4×C61—42no—
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×C61C2×C4⋊C414yes—
231C2×C4×C61#11714yes—
232C2×C4×C61#11714yes—
233C2×C4×C61#12414yes—
234C2×C4×C61#12414yes—
235C2×C4×C61#12514yes—
236C2×C4×C61#12514yes—
237C2×Dic61—22no—
238C2×Dic61—22no—
239C2×Dic61—22no—
240C2×Dic61—22no—
241C2×Dic61—22no—
242C2×Dic61—22no—
243C2×Dic61—24no—
244C2×Dic61—24no—
245C2×Dic61—24no—
246C2×Dic61—22no—
247C2×Dic61—22no—
248C2×Dic61—22no—
249C2×Dic61—22no—
250C2×Dic61—22no—
251C2×Dic61—22no—
252C2×Dic61—41no—
253C2×Dic61—41no—
254C2×Dic61—41no—
255C2×Dic61—41no—
256C2×Dic61—42no—
257C2×Dic61—42no—
258C2×Dic61—41no—
259C2×Dic61—41no—
260C2×Dic61—42no—
261C2×Dic61—42no—
262C2×Dic61—41no—
263C2×Dic61—41no—
264C2×Dic61—42no—
265C2×Dic61—42no—
266C2×Dic61—42no—
267C2×Dic61—42no—
268C2×Dic61—42no—
269C2×Dic61—42no—
270C2×Dic61—42no—
271C2×Dic61C2×C4⋊C414yes—
272C2×Dic61C2×C4⋊C414yes—
273C2×Dic61C4×D414yes—
274C2×Dic61C4×Q814yes—
275C2×Dic61#12114yes—
276C2×Dic61C22⋊Q814yes—
277C2×Dic61#12514yes—
278C2×Dic61C4⋊Q814yes—
279#13911—611nomaximal, Sylow
280C22×C61C22×C4⋊C411yescharacteristic
281C22×C61C2×#11711yescharacteristic
282C22×C61C2×#11711yescharacteristic
283C22×C61C2×C4×D411yescharacteristic
284C22×C61C2×C4×Q811yescharacteristic
285C22×C61#52011yescharacteristic
286C22×C61#52011yescharacteristic
287C22×C61C2×#12111yescharacteristic
288C22×C61C2×C22⋊Q811yescharacteristic
289C22×C61C2×#12411yescharacteristic
290C22×C61C2×#12411yescharacteristic
291C22×C61C2×#12511yescharacteristic
292C22×C61C2×#12511yescharacteristic
293C22×C61C2×#12511yescharacteristic
294C22×C61C2×C4⋊Q811yescharacteristic
295C22×C61#53511yescharacteristic
296C22×C61#53611yescharacteristic
297C22×C61#54411yescharacteristic
298C22×C61#54411yescharacteristic
299C22×C61#54711yescharacteristic
300C22×C61#54711yescharacteristic
301C22×C61#55011yescharacteristic
302C22×C61#55011yescharacteristic
303C22×C61#55411yescharacteristic
304C22×C61#55411yescharacteristic
305C22×C61#55511yescharacteristic
306C22×C61#55511yescharacteristic
307C22×C61#55611yescharacteristic
308C22×C61#55611yescharacteristic
309C22×C61#55611yescharacteristic
310C22×C61#55611yescharacteristic
311C22×C61#55711yescharacteristic
312C22×C61#55711yescharacteristic
313C22×C61#55911yescharacteristic
314C22×C61#55911yescharacteristic
315C4×C61—42no—
316C4×C61—44no—
317C4×C61—42no—
318C4×C61—82no—
319C4×C61#38218yescomplemented
320Dic61—24no—
321Dic61—42no—
322Dic61—44no—
323Dic61—42no—
324Dic61—82no—
325Dic61#38918yes—
326C2×#384—611no—
327C2×#382—612no—
328C2×C4×C4⋊C4—611no—
329C2×C4×C4⋊C4—611no—
330#1442—612no—
331#1442—612no—
332C4⋊#95—611no—
333C4⋊#95—612no—
334C4⋊#95—611no—
335C4⋊#95—611no—
336C4⋊#95D6111yescharacteristic
337C2×C61C2×#38211yescharacteristic
338C2×C61C2×#38911yescharacteristic
339C2×C61#231711yescharacteristic
340C2×C61#235411yescharacteristic
341C2×C61#235411yescharacteristic
342C2×C61#235511yescharacteristic
343C2×C61#235511yescharacteristic
344C2×C61#254711yescharacteristic
345C2×C61#254811yescharacteristic
346C2×C61#255211yescharacteristic
347C2×C61#255211yescharacteristic
348C2×C61#256311yescharacteristic
349C2×C61#256811yescharacteristic
350C2×C61#257111yescharacteristic
351C2×C61#257111yescharacteristic
352C22×C4⋊C4—611no—
353C22×C4⋊C4—611no—
354C22×C4⋊C4—611no—
355C22×C4⋊C4—612no—
356C22×C4⋊C4—611no—
357C22×C4⋊C4—612no—
358C22×C4⋊C4C2×D6111yescharacteristic
359C22×C4⋊C4C2×D6111yescharacteristic
360C22×C42—611no—
361C22×C42—612no—
362C22×C42—611no—
363C22×C42C2×D6111yescharacteristic
364#384—1224no—
365#382—1228no—
366C4×C4⋊C4—618no—
367C4×C4⋊C4—1224no—
368C2×#95—612no—
369C2×#95—612no—
370C2×#95—612no—
371C2×#95—612no—
372C2×#95—611no—
373C2×#95—611no—
374C2×#95—612no—
375C2×#95—612no—
376C2×#95—612no—
377C2×#95C2×D6112yes—
378C2×#95C2×D6112yes—
379C61#1391111yescharacteristic, complemented, Sylow
380C23×C4—611no—
381C23×C4—611no—
382C23×C4—612no—
383C23×C4—611no—
384C23×C4—611no—
385C23×C4—612no—
386C23×C4C22×D6112yes—
387C23×C4C22×D6112yes—
388C23×C4C22×D6111yescharacteristic
389C23×C4C22×D6111yescharacteristic
390C23×C4C22×D6111yescharacteristic
391C2×C4⋊C4—22no—
392C2×C4⋊C4—22no—
393C2×C4⋊C4—22no—
394C2×C4⋊C4—22no—
395C2×C4⋊C4—22no—
396C2×C4⋊C4—614no—
397C2×C4⋊C4—614no—
398C2×C4⋊C4—614no—
399C2×C4⋊C4—1222no—
400C2×C4⋊C4—1222no—
401C2×C4⋊C4—1222no—
402C2×C4⋊C4—1222no—
403C2×C4⋊C4—1222no—
404C2×C4⋊C4—1222no—
405C2×C4⋊C4—1224no—
406C2×C4⋊C4—1224no—
407C2×C4⋊C4—1224no—
408C2×C4⋊C4—1224no—
409C2×C4⋊C4—1222no—
410C2×C4⋊C4—1222no—
411C2×C4⋊C4—1222no—
412C2×C4⋊C4—2442no—
413C2×C4⋊C4—2442no—
414C2×C4⋊C4C4×D6114yes—
415C2×C42—22no—
416C2×C42—22no—
417C2×C42—22no—
418C2×C42—614no—
419C2×C42—614no—
420C2×C42—614no—
421C2×C42—618no—
422C2×C42—1224no—
423C2×C42—1224no—
424C2×C42—1222no—
425C2×C42—1222no—
426C2×C42—1222no—
427#95—24no—
428#95—42no—
429#95—618no—
430#95—1222no—
431#95—1222no—
432#95—1224no—
433#95—1224no—
434#95—1224no—
435#95—2442no—
436#95—2442no—
437#95—2442no—
438C24C23×D6111yescharacteristic
439C22×C4—22no—
440C22×C4—21no—
441C22×C4—21no—
442C22×C4—22no—
443C22×C4—21no—
444C22×C4—21no—
445C22×C4—21no—
446C22×C4—21no—
447C22×C4—22no—
448C22×C4—22no—
449C22×C4—21no—
450C22×C4—21no—
451C22×C4—21no—
452C22×C4—22no—
453C22×C4—21no—
454C22×C4—22no—
455C22×C4—21no—
456C22×C4—21no—
457C22×C4—22no—
458C22×C4—22no—
459C22×C4—22no—
460C22×C4—22no—
461C22×C4—22no—
462C22×C4—22no—
463C22×C4—22no—
464C22×C4—612no—
465C22×C4—612no—
466C22×C4—612no—
467C22×C4—612no—
468C22×C4—612no—
469C22×C4—612no—
470C22×C4—612no—
471C22×C4—612no—
472C22×C4—612no—
473C22×C4—612no—
474C22×C4—614no—
475C22×C4—612no—
476C22×C4—612no—
477C22×C4—1221no—
478C22×C4—1221no—
479C22×C4—1221no—
480C22×C4—1221no—
481C22×C4—1222no—
482C22×C4—1221no—
483C22×C4—1221no—
484C22×C4—1222no—
485C22×C4—1221no—
486C22×C4—1221no—
487C22×C4—1221no—
488C22×C4—1221no—
489C22×C4—1221no—
490C22×C4—1221no—
491C22×C4—1222no—
492C22×C4—1222no—
493C22×C4—1221no—
494C22×C4—1221no—
495C22×C4—1222no—
496C22×C4—1221no—
497C22×C4—1222no—
498C22×C4—1221no—
499C22×C4—1222no—
500C22×C4—1222no—
501C22×C4—1222no—
502C22×C4—1222no—
503C22×C4—1222no—
504C22×C4—1222no—
505C22×C4—1222no—
506C22×C4C2×C4×D6114yes—
507C22×C4C2×C4×D6112yes—
508C22×C4#1175822212yes—
509C22×C4#1175822212yes—
510C22×C4D4×D6112yes—
511C22×C4D4×D6112yes—
512C22×C4#1175822412yes—
513C22×C4#1175822412yes—
514C22×C4Q8×D6112yes—
515C22×C4Q8×D6112yes—
516C4⋊C4—28no—
517C4⋊C4—44no—
518C4⋊C4—1228no—
519C4⋊C4—1228no—
520C4⋊C4—1228no—
521C4⋊C4—2448no—
522C4⋊C4—2448no—
523C4⋊C4—2444no—
524C42—44no—
525C42—6116no—
526C42—12216no—
527C42—2444no—
528C23C22×C4×D6111yescharacteristic
529C23C2×D4×D6111yescharacteristic
530C23C2×D4×D6111yescharacteristic
531C23C2×Q8×D6111yescharacteristic
532C23C2×Q8×D6111yescharacteristic
533C23#41×D6111yescharacteristic
534C23#41×D6111yescharacteristic
535C23C2×#1175822411yescharacteristic
536C23C2×#1175822411yescharacteristic
537C23C2×#1175822211yescharacteristic
538C23C2×#1175822211yescharacteristic
539C23#1451982211yescharacteristic
540C23#1451982311yescharacteristic
541C23#1451982411yescharacteristic
542C23#1451982511yescharacteristic
543C2×C4—22no—
544C2×C4—22no—
545C2×C4—24no—
546C2×C4—24no—
547C2×C4—24no—
548C2×C4—22no—
549C2×C4—22no—
550C2×C4—22no—
551C2×C4—22no—
552C2×C4—41no—
553C2×C4—42no—
554C2×C4—41no—
555C2×C4—41no—
556C2×C4—42no—
557C2×C4—41no—
558C2×C4—41no—
559C2×C4—41no—
560C2×C4—41no—
561C2×C4—41no—
562C2×C4—42no—
563C2×C4—42no—
564C2×C4—42no—
565C2×C4—42no—
566C2×C4—42no—
567C2×C4—42no—
568C2×C4—42no—
569C2×C4—42no—
570C2×C4—42no—
571C2×C4—614no—
572C2×C4—614no—
573C2×C4—614no—
574C2×C4—614no—
575C2×C4—614no—
576C2×C4—614no—
577C2×C4—614no—
578C2×C4—614no—
579C2×C4—1222no—
580C2×C4—1222no—
581C2×C4—1222no—
582C2×C4—1222no—
583C2×C4—1222no—
584C2×C4—1222no—
585C2×C4—1222no—
586C2×C4—1222no—
587C2×C4—1224no—
588C2×C4—1224no—
589C2×C4—1224no—
590C2×C4—1222no—
591C2×C4—1222no—
592C2×C4—1222no—
593C2×C4—1222no—
594C2×C4—2442no—
595C2×C4—2442no—
596C2×C4—2442no—
597C2×C4—2442no—
598C2×C4—2442no—
599C2×C4—2442no—
600C2×C4—2442no—
601C2×C4—2442no—
602C2×C4—2441no—
603C2×C4—2441no—
604C2×C4—2441no—
605C2×C4—2441no—
606C2×C4—2442no—
607C2×C4—2441no—
608C2×C4—2441no—
609C2×C4—2441no—
610C2×C4—2441no—
611C2×C4—2442no—
612C2×C4—2442no—
613C2×C4C4⋊C4×D6114yes—
614C2×C4#1451973314yes—
615C2×C4#1451973414yes—
616C2×C4#1451976314yes—
617C2×C4#1451976314yes—
618C2×C4#1451976714yes—
619C2×C4#1451976714yes—
620C22C2×C4⋊C4×D6111yescharacteristic
621C22C2×#1451973311yescharacteristic
622C22C2×#1451973411yescharacteristic
623C22C4×D4×D6111yescharacteristic
624C22C4×Q8×D6111yescharacteristic
625C22#1684024111yescharacteristic
626C22#1684024411yescharacteristic
627C22#121×D6111yescharacteristic
628C22C22⋊Q8×D6111yescharacteristic
629C22C2×#1451976311yescharacteristic
630C22C2×#1451976311yescharacteristic
631C22#125×D6111yescharacteristic
632C22C2×#1451976711yescharacteristic
633C22C2×#1451976711yescharacteristic
634C22C4⋊Q8×D6111yescharacteristic
635C22#1684032811yescharacteristic
636C22#1684033511yescharacteristic
637C22#1684038911yescharacteristic
638C22#1684039211yescharacteristic
639C22#1684041211yescharacteristic
640C22#1684041311yescharacteristic
641C22#1684043211yescharacteristic
642C22#1684043311yescharacteristic
643C22#1684046711yescharacteristic
644C22#1684047011yescharacteristic
645C22#1684047511yescharacteristic
646C22#1684047611yescharacteristic
647C22#1684048011yescharacteristic
648C22#1684048111yescharacteristic
649C22#1684048311yescharacteristic
650C22#1684048411yescharacteristic
651C22#1684048711yescharacteristic
652C22#1684049011yescharacteristic
653C22#1684049411yescharacteristic
654C22#1684049511yescharacteristic
655C4—42no—
656C4—44no—
657C4—42no—
658C4—82no—
659C4—618no—
660C4—1224no—
661C4—4882no—
662C4—2444no—
663C4—2442no—
664C4—2442no—
665C4#1683962618yescomplemented
666C2C2×#1683962611yescharacteristic
667C2#389×D6111yescharacteristic
668C2#2144844111yescharacteristic
669C2#2144876411yescharacteristic
670C2#2144876711yescharacteristic
671C2#2144877211yescharacteristic
672C2#2144877511yescharacteristic
673C2#2145081311yescharacteristic
674C2#2145082011yescharacteristic
675C2#2145085211yescharacteristic
676C2#2145085311yescharacteristic
677C2#2145098911yescharacteristic
678C2#2145103311yescharacteristic
679C2#2145105911yescharacteristic
680C2#2145106011yescharacteristic
subgroupG/H
center, FrattiniC24C23×D61
commutatorC23×C61C23×C4
FittingC61×C4⋊#95C2
socle, prime radical, cosocleC24×C61C24
hypercenterC4⋊#95D61
hypocenterC61#13911
LCSG ▷ C23×C61 ▷ C61
UCSC1 ◁ C24 ◁ C4⋊#95

Complements

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

NH ≅ G/Ntype
23. C4⋊C4×Dic61C4semidirect
319. C4×C61#382semidirect
379. C61#13911semidirect
665. C4#16839626semidirect

Maximal subgroups

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

subgroupindex
C2×#168396312
C2×#168396262
C2×C4⋊C4×Dic612
C2×C4×#117581962
#214440772
#214440742
#214440492
#214440482
#214440472
C61×C4⋊#952
#1391161