Finite Group Databasebeta

← #29696943

Subgroups — #29696943

Order 15616.

1212 conjugacy classes of subgroups.

The subgroup lattice has 662 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16839815C211yesmaximal, characteristic, complemented
2C2×#16839726C211yesmaximal, characteristic
3#21446434C212yesmaximal, complemented
4#21446427C212yesmaximal, complemented
5#21446004C212yesmaximal, complemented
6#21445887C211yesmaximal, characteristic, complemented
7#21445799C211yesmaximal, characteristic, complemented
8#21445729C211yesmaximal, characteristic
9#21445603C212yesmaximal, complemented
10#21445581C211yesmaximal, characteristic, complemented
11C2×C4×C22⋊C4×C61C211yesmaximal, characteristic
12C22×#11758194C2212yes—
13#16839815—24no—
14C2×C4⋊#92418C2212yescomplemented
15C2×C4⋊#92418C2212yescomplemented
16#16839726—24no—
17C2×C22⋊#92418C2212yes—
18C2×C22⋊#92418C2211yescharacteristic
19C2×C22⋊#92418C2212yes—
20C2×C22⋊#92418C2211yescharacteristic
21C2×C22⋊#92418C2211yescharacteristic
22C2×C22⋊#92418C2212yes—
23C2×C22⋊#92418C2211yescharacteristic
24C2×#14519688C2212yescomplemented
25C2×C4×#92418C2212yescomplemented
26#16839517C2212yescomplemented
27#16839517C2212yescomplemented
28#16839517C2212yescomplemented
29#16839517C2212yescomplemented
30C24×C4×C61C2211yescharacteristic
31C22×C22⋊C4×C61C411yescharacteristic
32C22×C22⋊C4×C61C411yescharacteristic
33C22×C42×C61C2211yescharacteristic
34C22×C42×C61C2211yescharacteristic
35C4×C22⋊C4×C61C411yescharacteristic
36C4×C22⋊C4×C61C411yescharacteristic
37C4×C22⋊C4×C61C411yescharacteristic
38C4×C22⋊C4×C61C411yescharacteristic
39C4×C22⋊C4×C61C2211yescharacteristic
40C4×C22⋊C4×C61C2211yescharacteristic
41C4×C22⋊C4×C61C2211yescharacteristic
42C4×C22⋊C4×C61C2211yescharacteristic
43C2×#95×C61C411yescharacteristic
44C2×#95×C61C411yescharacteristic
45C2×#11758194—24no—
46C2×#11758194—24no—
47C2×#11758194—42no—
48C22×#92418C2312yes—
49C22×#92418C2312yes—
50C22×#92418C2312yes—
51C22×#92418C2312yes—
52C4⋊#92418—24no—
53C4⋊#92418—42no—
54C22⋊#92418—22no—
55C22⋊#92418—22no—
56C22⋊#92418—24no—
57C22⋊#92418—22no—
58C22⋊#92418—24no—
59C22⋊#92418—42no—
60C22⋊#92418D414yes—
61#14519688—42no—
62C4×#92418—24no—
63C25×C61C2×C411yescharacteristic
64C23×C4×C61—22no—
65C23×C4×C61—24no—
66C23×C4×C61—22no—
67C23×C4×C61—42no—
68C23×C4×C61C2×C411yescharacteristic
69C23×C4×C61C2×C411yescharacteristic
70C23×C4×C61C2×C411yescharacteristic
71C23×C4×C61C2×C411yescharacteristic
72C23×C4×C61C2×C411yescharacteristic
73C23×C4×C61C2×C411yescharacteristic
74C23×C4×C61C2×C411yescharacteristic
75C23×C4×C61C2311yescharacteristic
76C23×C4×C61C2311yescharacteristic
77C23×C4×C61C2311yescharacteristic
78C2×C22⋊C4×C61—24no—
79C2×C22⋊C4×C61—24no—
80C2×C22⋊C4×C61C2×C411yescharacteristic
81C2×C22⋊C4×C61C2×C411yescharacteristic
82C2×C22⋊C4×C61C2×C411yescharacteristic
83C2×C22⋊C4×C61C2×C411yescharacteristic
84C2×C22⋊C4×C61C2×C411yescharacteristic
85C2×C22⋊C4×C61C2×C411yescharacteristic
86C2×C22⋊C4×C61C2×C411yescharacteristic
87C2×C22⋊C4×C61C2×C411yescharacteristic
88C2×C42×C61—22no—
89C2×C42×C61—22no—
90C2×C42×C61—42no—
91C2×C42×C61C2×C411yescharacteristic
92C2×C42×C61C2×C411yescharacteristic
93C2×C42×C61C2×C411yescharacteristic
94C2×C42×C61C2×C411yescharacteristic
95C2×C42×C61C2311yescharacteristic
96C2×C42×C61C2311yescharacteristic
97C2×C42×C61C2311yescharacteristic
98C2×C42×C61C2311yescharacteristic
99#95×C61C2×C411yescharacteristic
100#95×C61C2×C411yescharacteristic
101#95×C61C2×C411yescharacteristic
102#95×C61C2×C411yescharacteristic
103#95×C61C2×C411yescharacteristic
104#95×C61C2×C411yescharacteristic
105#95×C61C2×C411yescharacteristic
106#95×C61C2×C411yescharacteristic
107C24×C61—22no—
108C24×C61—22no—
109C24×C61—22no—
110C24×C61—22no—
111C24×C61—22no—
112C24×C61—41no—
113C24×C61—41no—
114C24×C61C22×C411yescharacteristic
115C24×C61C22×C411yescharacteristic
116C24×C61C22×C411yescharacteristic
117C22×C4×C61—22no—
118C22×C4×C61—22no—
119C22×C4×C61—21no—
120C22×C4×C61—22no—
121C22×C4×C61—21no—
122C22×C4×C61—22no—
123C22×C4×C61—22no—
124C22×C4×C61—22no—
125C22×C4×C61—22no—
126C22×C4×C61—22no—
127C22×C4×C61—22no—
128C22×C4×C61—22no—
129C22×C4×C61—22no—
130C22×C4×C61—22no—
131C22×C4×C61—22no—
132C22×C4×C61—22no—
133C22×C4×C61—22no—
134C22×C4×C61—22no—
135C22×C4×C61—21no—
136C22×C4×C61—22no—
137C22×C4×C61—21no—
138C22×C4×C61—22no—
139C22×C4×C61—41no—
140C22×C4×C61—41no—
141C22×C4×C61—41no—
142C22×C4×C61—41no—
143C22×C4×C61—41no—
144C22×C4×C61—41no—
145C22×C4×C61—41no—
146C22×C4×C61—48no—
147C22×C4×C61—48no—
148C22×C4×C61M1614yescomplemented
149C22×C4×C61C22×C411yescharacteristic
150C22×C4×C61C22×C411yescharacteristic
151C22×C4×C61C22×C411yescharacteristic
152C22×C4×C61C22×C411yescharacteristic
153C22×C4×C61C22×C411yescharacteristic
154C22×C4×C61C22×C411yescharacteristic
155C22×C4×C61C22×C411yescharacteristic
156C22×C4×C61C22×C411yescharacteristic
157C22×C4×C61C22×C411yescharacteristic
158C22×C4×C61C22×C411yescharacteristic
159C22×C4×C61C22×C411yescharacteristic
160C22×C4×C61C2×D412yes—
161C22×C4×C61#4114yes—
162C22×C4×C61#4112yes—
163C22×C4×C61C2411yescharacteristic
164C22⋊C4×C61—22no—
165C22⋊C4×C61—22no—
166C22⋊C4×C61—22no—
167C22⋊C4×C61—22no—
168C22⋊C4×C61—22no—
169C22⋊C4×C61—22no—
170C22⋊C4×C61—22no—
171C22⋊C4×C61M1614yescomplemented
172C42×C61—22no—
173C42×C61—22no—
174C42×C61—21no—
175C42×C61—21no—
176C42×C61—21no—
177C42×C61—21no—
178C42×C61—22no—
179C42×C61—22no—
180C42×C61—41no—
181C42×C61—41no—
182#11758194—48no—
183C2×#92418—22no—
184C2×#92418—22no—
185C2×#92418—22no—
186C2×#92418—22no—
187C2×#92418—22no—
188C2×#92418—22no—
189C2×#92418—22no—
190C2×#92418—22no—
191C2×#92418—22no—
192C2×#92418—22no—
193C2×#92418—22no—
194C2×#92418C2×D414yes—
195C23×C61—21no—
196C23×C61—21no—
197C23×C61—21no—
198C23×C61—21no—
199C23×C61—28no—
200C23×C61—21no—
201C23×C61—21no—
202C23×C61—21no—
203C23×C61—21no—
204C23×C61—21no—
205C23×C61—21no—
206C23×C61—21no—
207C23×C61—21no—
208C23×C61—21no—
209C23×C61—21no—
210C23×C61—21no—
211C23×C61—21no—
212C23×C61—44no—
213C23×C61—44no—
214C23×C61—44no—
215C23×C61—44no—
216C23×C61—44no—
217C23×C61—44no—
218C23×C61#11712yes—
219C23×C61C4×D412yes—
220C23×C61C2×M1612yes—
221C23×C61C2×M1612yes—
222C23×C61#13112yes—
223C23×C61C23×C411yescharacteristic
224C2×C4×C61—21no—
225C2×C4×C61—21no—
226C2×C4×C61—21no—
227C2×C4×C61—21no—
228C2×C4×C61—21no—
229C2×C4×C61—21no—
230C2×C4×C61—21no—
231C2×C4×C61—21no—
232C2×C4×C61—21no—
233C2×C4×C61—21no—
234C2×C4×C61—21no—
235C2×C4×C61—21no—
236C2×C4×C61—28no—
237C2×C4×C61—24no—
238C2×C4×C61—24no—
239C2×C4×C61—24no—
240C2×C4×C61—24no—
241C2×C4×C61—21no—
242C2×C4×C61—21no—
243C2×C4×C61—21no—
244C2×C4×C61—21no—
245C2×C4×C61—21no—
246C2×C4×C61—21no—
247C2×C4×C61—21no—
248C2×C4×C61—21no—
249C2×C4×C61—21no—
250C2×C4×C61—21no—
251C2×C4×C61—21no—
252C2×C4×C61—21no—
253C2×C4×C61—21no—
254C2×C4×C61—21no—
255C2×C4×C61—21no—
256C2×C4×C61—44no—
257C2×C4×C61—44no—
258C2×C4×C61—44no—
259C2×C4×C61—44no—
260C2×C4×C61—44no—
261C2×C4×C61—44no—
262C2×C4×C61—42no—
263C2×C4×C61—42no—
264C2×C4×C61#11712yes—
265C2×C4×C61C4×D412yes—
266C2×C4×C61C2×M1612yes—
267C2×C4×C61C2×M1612yes—
268C2×C4×C61C2×M1612yes—
269C2×C4×C61C2×M1612yes—
270C2×C4×C61C22×D411yescharacteristic
271C2×C4×C61C2×#4112yes—
272C2×C4×C61C2×#4111yescharacteristic
273C2×C4×C61H(5,𝔽2)12yes—
274#92418—24no—
275#92418—42no—
276#92418—42no—
277#92418—42no—
278#22553—611nomaximal, Sylow
279C22×C61—22no—
280C22×C61—22no—
281C22×C61—22no—
282C22×C61—22no—
283C22×C61—22no—
284C22×C61—22no—
285C22×C61—22no—
286C22×C61—22no—
287C22×C61—22no—
288C22×C61—22no—
289C22×C61—22no—
290C22×C61—22no—
291C22×C61—416no—
292C22×C61—41no—
293C22×C61—41no—
294C22×C61—41no—
295C22×C61—41no—
296C22×C61—41no—
297C22×C61—41no—
298C22×C61—41no—
299C22×C61—41no—
300C22×C61#43514yes—
301C22×C61C2×#11711yescharacteristic
302C22×C61C2×C4×D411yescharacteristic
303C22×C61#51811yescharacteristic
304C22×C61C22×M1611yescharacteristic
305C22×C61C22×M1611yescharacteristic
306C22×C61C2×#13111yescharacteristic
307C22×C61#56811yescharacteristic
308C4×C61—22no—
309C4×C61—22no—
310C4×C61—22no—
311C4×C61—22no—
312C4×C61—22no—
313C4×C61—22no—
314C4×C61—41no—
315C4×C61—41no—
316C4×C61—41no—
317C4×C61—41no—
318C4×C61—41no—
319C4×C61#54612yes—
320C4×C61#55112yes—
321C2×#431—611no—
322C2×#407—611no—
323C2×C4×C22⋊C4D6111yescharacteristic
324#1924—612no—
325#1923—612no—
326#1851—612no—
327#1817—611no—
328#1797—611no—
329#1779—611no—
330#1753—612no—
331#1749—611no—
332C2×C61—24no—
333C2×C61—42no—
334C2×C61—42no—
335C2×C61#234211yescharacteristic
336C2×C61#292011yescharacteristic
337C2×C61#292411yescharacteristic
338C2×C61C2×#43511yescharacteristic
339C2×C61D4×M1611yescharacteristic
340C2×C61#297411yescharacteristic
341C2×C61#297511yescharacteristic
342C24×C4C2×D6111yescharacteristic
343C22×M16—612no—
344C22×C22⋊C4Dic6111yescharacteristic
345C22×C22⋊C4Dic6111yescharacteristic
346C22×C42C2×D6111yescharacteristic
347C22×C42C2×D6111yescharacteristic
348#431—1224no—
349C2×C4⋊C8—612no—
350C2×C4⋊C8—612no—
351#407—1224no—
352C2×C22⋊C8—611no—
353C2×C22⋊C8—611no—
354C2×C22⋊C8—611no—
355C2×C22⋊C8—611no—
356C2×C22⋊C8—612no—
357C2×C22⋊C8—612no—
358C2×C22⋊C8—612no—
359C2×#97—612no—
360C2×C4×C8—612no—
361C4×C22⋊C4Dic6111yescharacteristic
362C4×C22⋊C4Dic6111yescharacteristic
363C4×C22⋊C4Dic6111yescharacteristic
364C4×C22⋊C4Dic6111yescharacteristic
365C4×C22⋊C4C2×D6111yescharacteristic
366C4×C22⋊C4C2×D6111yescharacteristic
367C4×C22⋊C4C2×D6111yescharacteristic
368C4×C22⋊C4C2×D6111yescharacteristic
369C2×#95Dic6111yescharacteristic
370C2×#95Dic6111yescharacteristic
371#336—612no—
372#336—612no—
373#336—612no—
374#336—612no—
375C61#2255311yescharacteristic, complemented, Sylow
376C25C2×Dic6111yescharacteristic
377C23×C4—24no—
378C23×C4—22no—
379C23×C4—22no—
380C23×C4—42no—
381C23×C4C2×Dic6111yescharacteristic
382C23×C4C2×Dic6111yescharacteristic
383C23×C4C2×Dic6111yescharacteristic
384C23×C4C2×Dic6111yescharacteristic
385C23×C4C2×Dic6111yescharacteristic
386C23×C4C2×Dic6111yescharacteristic
387C23×C4C2×Dic6111yescharacteristic
388C23×C4C22×D6111yescharacteristic
389C23×C4C22×D6111yescharacteristic
390C23×C4C22×D6111yescharacteristic
391C2×M16—1224no—
392C2×M16—1224no—
393C2×M16—2442no—
394C22×C8—612no—
395C22×C8—612no—
396C22×C8—612no—
397C22×C8—612no—
398C2×C22⋊C4—24no—
399C2×C22⋊C4—24no—
400C2×C22⋊C4C2×Dic6111yescharacteristic
401C2×C22⋊C4C2×Dic6111yescharacteristic
402C2×C22⋊C4C2×Dic6111yescharacteristic
403C2×C22⋊C4C2×Dic6111yescharacteristic
404C2×C22⋊C4C2×Dic6111yescharacteristic
405C2×C22⋊C4C2×Dic6111yescharacteristic
406C2×C22⋊C4C2×Dic6111yescharacteristic
407C2×C22⋊C4C2×Dic6111yescharacteristic
408C2×C42—22no—
409C2×C42—22no—
410C2×C42—42no—
411C2×C42C2×Dic6111yescharacteristic
412C2×C42C2×Dic6111yescharacteristic
413C2×C42C2×Dic6111yescharacteristic
414C2×C42C2×Dic6111yescharacteristic
415C2×C42C22×D6111yescharacteristic
416C2×C42C22×D6111yescharacteristic
417C2×C42C22×D6111yescharacteristic
418C2×C42C22×D6111yescharacteristic
419C4⋊C8—1224no—
420C4⋊C8—2442no—
421C22⋊C8—614no—
422C22⋊C8—1224no—
423C22⋊C8—1224no—
424C22⋊C8—1222no—
425C22⋊C8—1222no—
426C22⋊C8—1222no—
427C22⋊C8—2442no—
428#97—2442no—
429C4×C8—1224no—
430#95C2×Dic6111yescharacteristic
431#95C2×Dic6111yescharacteristic
432#95C2×Dic6111yescharacteristic
433#95C2×Dic6111yescharacteristic
434#95C2×Dic6111yescharacteristic
435#95C2×Dic6111yescharacteristic
436#95C2×Dic6111yescharacteristic
437#95C2×Dic6111yescharacteristic
438C24—22no—
439C24—22no—
440C24—22no—
441C24—22no—
442C24—22no—
443C24—41no—
444C24—41no—
445C24C22×Dic6111yescharacteristic
446C24C22×Dic6111yescharacteristic
447C24C22×Dic6111yescharacteristic
448C22×C4—22no—
449C22×C4—22no—
450C22×C4—21no—
451C22×C4—21no—
452C22×C4—22no—
453C22×C4—22no—
454C22×C4—22no—
455C22×C4—22no—
456C22×C4—22no—
457C22×C4—22no—
458C22×C4—22no—
459C22×C4—22no—
460C22×C4—21no—
461C22×C4—21no—
462C22×C4—22no—
463C22×C4—22no—
464C22×C4—22no—
465C22×C4—22no—
466C22×C4—22no—
467C22×C4—22no—
468C22×C4—22no—
469C22×C4—22no—
470C22×C4—41no—
471C22×C4—41no—
472C22×C4—41no—
473C22×C4—41no—
474C22×C4—41no—
475C22×C4—41no—
476C22×C4—41no—
477C22×C4—48no—
478C22×C4—48no—
479C22×C4#1175819414yescomplemented
480C22×C4#1175822214yes—
481C22×C4D4×D6112yes—
482C22×C4#1175822412yes—
483C22×C4C22×Dic6111yescharacteristic
484C22×C4C22×Dic6111yescharacteristic
485C22×C4C22×Dic6111yescharacteristic
486C22×C4C22×Dic6111yescharacteristic
487C22×C4C22×Dic6111yescharacteristic
488C22×C4C22×Dic6111yescharacteristic
489C22×C4C22×Dic6111yescharacteristic
490C22×C4C22×Dic6111yescharacteristic
491C22×C4C22×Dic6111yescharacteristic
492C22×C4C22×Dic6111yescharacteristic
493C22×C4C22×Dic6111yescharacteristic
494C22×C4C23×D6111yescharacteristic
495M16—2448no—
496C2×C8—614no—
497C2×C8—1222no—
498C2×C8—1222no—
499C2×C8—1222no—
500C2×C8—1222no—
501C2×C8—1222no—
502C2×C8—1222no—
503C2×C8—1222no—
504C2×C8—1222no—
505C2×C8—1222no—
506C2×C8—1222no—
507C2×C8—1222no—
508C22⋊C4—22no—
509C22⋊C4—22no—
510C22⋊C4—22no—
511C22⋊C4—22no—
512C22⋊C4—22no—
513C22⋊C4—22no—
514C22⋊C4—22no—
515C22⋊C4#1175819414yescomplemented
516C42—21no—
517C42—21no—
518C42—21no—
519C42—21no—
520C42—22no—
521C42—22no—
522C42—22no—
523C42—22no—
524C42—41no—
525C42—41no—
526C23—21no—
527C23—21no—
528C23—21no—
529C23—21no—
530C23—28no—
531C23—21no—
532C23—21no—
533C23—21no—
534C23—21no—
535C23—21no—
536C23—21no—
537C23—21no—
538C23—21no—
539C23—21no—
540C23—21no—
541C23—21no—
542C23—21no—
543C23—44no—
544C23—44no—
545C23—44no—
546C23—44no—
547C23—44no—
548C23—44no—
549C23#1451973612yes—
550C23D4×Dic6112yes—
551C23C2×#1175819412yes—
552C23C2×#1175819412yes—
553C23#1451978412yes—
554C23C23×Dic6111yescharacteristic
555C2×C4—21no—
556C2×C4—21no—
557C2×C4—21no—
558C2×C4—21no—
559C2×C4—21no—
560C2×C4—21no—
561C2×C4—21no—
562C2×C4—21no—
563C2×C4—21no—
564C2×C4—21no—
565C2×C4—21no—
566C2×C4—21no—
567C2×C4—28no—
568C2×C4—24no—
569C2×C4—24no—
570C2×C4—24no—
571C2×C4—24no—
572C2×C4—21no—
573C2×C4—21no—
574C2×C4—21no—
575C2×C4—21no—
576C2×C4—21no—
577C2×C4—21no—
578C2×C4—21no—
579C2×C4—21no—
580C2×C4—21no—
581C2×C4—21no—
582C2×C4—21no—
583C2×C4—21no—
584C2×C4—21no—
585C2×C4—21no—
586C2×C4—21no—
587C2×C4—44no—
588C2×C4—44no—
589C2×C4—44no—
590C2×C4—44no—
591C2×C4—44no—
592C2×C4—44no—
593C2×C4—42no—
594C2×C4—42no—
595C2×C4#1451973612yes—
596C2×C4D4×Dic6112yes—
597C2×C4C2×#1175819412yes—
598C2×C4C2×#1175819412yes—
599C2×C4C2×#1175819412yes—
600C2×C4C2×#1175819412yes—
601C2×C4C2×D4×D6111yescharacteristic
602C2×C4C2×#1175822411yescharacteristic
603C2×C4C2×#1175822212yes—
604C2×C4#1451982212yes—
605C8—1224no—
606C8—2442no—
607C8—2442no—
608C8—2442no—
609C22—22no—
610C22—22no—
611C22—22no—
612C22—22no—
613C22—22no—
614C22—22no—
615C22—22no—
616C22—22no—
617C22—22no—
618C22—22no—
619C22—22no—
620C22—22no—
621C22—416no—
622C22—41no—
623C22—41no—
624C22—41no—
625C22—41no—
626C22—41no—
627C22—41no—
628C22—41no—
629C22—41no—
630C22#1683983414yes—
631C22C2×#1451973611yescharacteristic
632C22C2×D4×Dic6111yescharacteristic
633C22#1684023711yescharacteristic
634C22C22×#1175819411yescharacteristic
635C22C22×#1175819411yescharacteristic
636C22C2×#1451978411yescharacteristic
637C22#1684052911yescharacteristic
638C4—22no—
639C4—22no—
640C4—22no—
641C4—22no—
642C4—22no—
643C4—22no—
644C4—41no—
645C4—41no—
646C4—41no—
647C4—41no—
648C4—41no—
649C4#1684040212yes—
650C4#1684043812yes—
651C2—24no—
652C2—42no—
653C2—42no—
654C2#2144866811yescharacteristic
655C2#2145445211yescharacteristic
656C2#2145447711yescharacteristic
657C2C2×#1683983411yescharacteristic
658C2D4×#1175819411yescharacteristic
659C2#2145485411yescharacteristic
660C2#2145486011yescharacteristic
subgroupG/H
center, FrattiniC22×C4C23×D61
commutator, socleC23×C61C23×C4
FittingC2×C4×C22⋊C4×C61C2
prime radicalC25×C61C2×C4
cosocleC22×C4×C61C24
hypercenterC2×C4×C22⋊C4D61
hypocenterC61#22553
LCSG ▷ C23×C61 ▷ C61
UCSC1 ◁ C22×C4 ◁ C2×C4×C22⋊C4

Complements

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

NH ≅ G/Ntype
1. C2×#16839815C2semidirect
3. #21446434C2semidirect
4. #21446427C2semidirect
5. #21446004C2semidirect
6. #21445887C2semidirect
7. #21445799C2semidirect
9. #21445603C2semidirect
10. #21445581C2semidirect
14. C2×C4⋊#92418C22semidirect
15. C2×C4⋊#92418C22semidirect
24. C2×#14519688C22semidirect
25. C2×C4×#92418C22semidirect
26. #16839517C22semidirect
27. #16839517C22semidirect
28. #16839517C22semidirect
29. #16839517C22semidirect
148. C22×C4×C61M16semidirect
171. C22⋊C4×C61M16semidirect
375. C61#22553semidirect
479. C22×C4#11758194semidirect
515. C22⋊C4#11758194semidirect

Maximal subgroups

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

subgroupindex
C2×#168398152
C2×#168397262
#214464342
#214464272
#214460042
#214458872
#214457992
#214457292
#214456032
#214455812
C2×C4×C22⋊C4×C612
#2255361