Finite Group Databasebeta

← C2×#21448840 #29839547

Subgroups — C2×#21448840 #29839547

Order 15616.

4782 conjugacy classes of subgroups.

The subgroup lattice has 664 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#14519748C211yesmaximal, characteristic
2C22×D4×Dic61C211yesmaximal, characteristic, complemented
3C22×#14519737C212yesmaximal, complemented
4C22×C4⋊C4×D61C211yesmaximal, characteristic, complemented
5#21448840C2116yesmaximal, direct product factor
6C2×#16839658C211yesmaximal, characteristic, complemented
7C2×#16839650C212yesmaximal, complemented
8C2×#16839638C212yesmaximal, complemented
9C2×#16839634C212yesmaximal, complemented
10C2×C4×C4⋊Dic61C211yesmaximal, characteristic, complemented
11C2×C4×#11758198C211yesmaximal, characteristic, complemented
12C2×C61×#390C211yesmaximal, characteristic, complemented
13C23×C22⋊D61C2212yes—
14C24×Dic61C2212yes—
15C23×C4×D61C2212yes—
16C23×C4×D61C2211yescharacteristic
17C2×#14519748C4116yescomplemented
18C2×#14519748C2218yes—
19C2×D4×Dic61—28no—
20C2×D4×Dic61C2218yescomplemented
21C2×#14519737—216no—
22C2×#14519737C22116yescomplemented
23C22×C4⋊Dic61C2211yescharacteristic
24C22×C4⋊Dic61C2211yescharacteristic
25C22×#11758196C2212yes—
26C22×#11758196C2212yes—
27C2×C4⋊C4×D61—28no—
28C2×C4⋊C4×D61C2218yescomplemented
29C22×C22⋊Dic61C2212yes—
30C22×C22⋊Dic61C2212yes—
31C22×#11758198C2211yescharacteristic
32C22×#11758198C2211yescharacteristic
33C22×C4×Dic61C2212yes—
34C22×C4×Dic61C2211yescharacteristic
35#16839658C2218yescomplemented
36#16839650C22116yescomplemented
37#16839638C22116yescomplemented
38#16839634C22116yescomplemented
39C4×C4⋊Dic61C2218yescomplemented
40C4×#11758198C2218yescomplemented
41C2×#14519684C2211yescharacteristic
42C2×#14519684C2212yes—
43C2×#14519684C2212yes—
44C2×#14519684C2211yescharacteristic
45C23×D4×C61C2211yescharacteristic
46C22×C4⋊C4×C61C2211yescharacteristic
47C22×C22⋊C4×C61C2212yes—
48C22×C22⋊C4×C61C2212yes—
49C22×C42×C61C2211yescharacteristic
50C61×#390C2218yescomplemented
51C24×D61C2311yescharacteristic
52C22×C22⋊D61—28no—
53C22×C22⋊D61—28no—
54C22×C22⋊D61C2×C4116yescomplemented
55C22×C22⋊D61C2318yes—
56C23×Dic61—28no—
57C23×Dic61—28no—
58C23×Dic61—44no—
59C23×Dic61C2311yescharacteristic
60C23×Dic61C2318yes—
61C23×Dic61C2312yes—
62C23×Dic61C2311yescharacteristic
63C23×Dic61C2311yescharacteristic
64C23×Dic61C2312yes—
65C22×C4×D61—24no—
66C22×C4×D61—24no—
67C22×C4×D61—28no—
68C22×C4×D61—28no—
69C22×C4×D61—44no—
70C22×C4×D61C2×C418yescomplemented
71C22×C4×D61C2318yes—
72C22×C4×D61C2314yes—
73#14519748C2×C4164yescomplemented
74D4×Dic61—232no—
75#14519737—264no—
76C2×C4⋊Dic61C2×C418yescomplemented
77C2×C4⋊Dic61D418yescomplemented
78C2×C4⋊Dic61C2314yes—
79C2×C4⋊Dic61C2314yes—
80C2×#11758196—28no—
81C2×#11758196—28no—
82C2×#11758196C2318yes—
83C2×#11758196C2318yes—
84C4⋊C4×D61—232no—
85C2×C22⋊Dic61—28no—
86C2×C22⋊Dic61C2×C4116yescomplemented
87C2×C22⋊Dic61C2318yes—
88C2×C22⋊Dic61C2318yes—
89C2×#11758198—24no—
90C2×#11758198D418yescomplemented
91C2×#11758198C2314yes—
92C2×#11758198C2314yes—
93C2×C4×Dic61—28no—
94C2×C4×Dic61—24no—
95C2×C4×Dic61C2318yes—
96C2×C4×Dic61C2314yes—
97#14519684C2314yes—
98#14519684C2314yes—
99#14519684C2318yes—
100#14519684C2318yes—
101C25×C61C2312yes—
102C22×D4×C61—24no—
103C22×D4×C61—24no—
104C22×D4×C61C2×C418yescomplemented
105C22×D4×C61C2314yes—
106C23×C4×C61C2311yescharacteristic
107C23×C4×C61C2312yes—
108C23×C4×C61C2311yescharacteristic
109C23×C4×C61C2311yescharacteristic
110C2×C4⋊C4×C61—24no—
111C2×C4⋊C4×C61C2314yes—
112C2×C22⋊C4×C61—28no—
113C2×C22⋊C4×C61—44no—
114C2×C22⋊C4×C61C2318yes—
115C2×C22⋊C4×C61C2318yes—
116C2×C42×C61—24no—
117C2×C42×C61C2314yes—
118C24×C61—24no—
119C24×C61—24no—
120C24×C61—24no—
121C24×C61—24no—
122C24×C61—24no—
123C24×C61—24no—
124C24×C61C22×C418yes—
125C24×C61C2414yes—
126C24×C61C2411yescharacteristic
127C23×D61—22no—
128C23×D61—22no—
129C23×D61—22no—
130C23×D61—22no—
131C23×D61C22×C414yes—
132C23×D61C2×D414yes—
133C23×D61#4114yes—
134C23×D61C2412yes—
135C2×D4×C61—232no—
136C2×D4×C61—28no—
137C2×D4×C61—28no—
138C2×D4×C61C22×C4116yescomplemented
139C22×C4×C61—22no—
140C22×C4×C61—22no—
141C22×C4×C61—24no—
142C22×C4×C61—24no—
143C22×C4×C61—22no—
144C22×C4×C61—22no—
145C22×C4×C61—24no—
146C22×C4×C61—22no—
147C22×C4×C61C22×C414yes—
148C22×C4×C61C2×D414yes—
149C22×C4×C61C2×D414yes—
150C22×C4×C61#4114yes—
151C22×C4×C61C2414yes—
152C22×C4×C61C2412yes—
153C22×C4×C61C2412yes—
154C22×C4×C61C2412yes—
155C2×C22⋊D61—264no—
156C2×C22⋊D61—216no—
157C2×C22⋊D61—216no—
158C2×C22⋊D61C22×C4132yescomplemented
159C22×Dic61—24no—
160C22×Dic61—22no—
161C22×Dic61—22no—
162C22×Dic61—24no—
163C22×Dic61—22no—
164C22×Dic61—24no—
165C22×Dic61—24no—
166C22×Dic61—22no—
167C22×Dic61—22no—
168C22×Dic61—22no—
169C22×Dic61—22no—
170C22×Dic61—216no—
171C22×Dic61—216no—
172C22×Dic61—48no—
173C22×Dic61—432no—
174C22×Dic61C22×C414yes—
175C22×Dic61C22×C418yes—
176C22×Dic61C2×D418yes—
177C22×Dic61C2×D414yes—
178C22×Dic61C2412yes—
179C22×Dic61C2412yes—
180C22×Dic61C2414yes—
181C22×Dic61C2414yes—
182C22×Dic61C2412yes—
183C2×C4×D61—232no—
184C2×C4×D61—28no—
185C2×C4×D61—28no—
186C2×C4×D61—216no—
187C2×C4×D61—216no—
188C2×C4×D61—48no—
189C2×C4×D61—432no—
190C2×C4×D61C22×C4116yescomplemented
191C4⋊C4×C61—28no—
192C22⋊C4×C61—216no—
193C22⋊C4×C61—48no—
194C42×C61—28no—
195C22⋊Dic61—216no—
196C22⋊Dic61C22×C4132yescomplemented
197#11758198—28no—
198#11758198C2×D4116yescomplemented
199C4⋊Dic61C22×C4116yescomplemented
200C4⋊Dic61C2×D4116yescomplemented
201#11758196—216no—
202#11758196—216no—
203C4×Dic61—216no—
204C4×Dic61—28no—
205C23×C61—216no—
206C23×C61—216no—
207C23×C61—216no—
208C23×C61—24no—
209C23×C61—24no—
210C23×C61—24no—
211C23×C61—24no—
212C23×C61—24no—
213C23×C61—24no—
214C23×C61—48no—
215C23×C61—48no—
216C23×C61—48no—
217C23×C61—48no—
218C23×C61C23×C418yes—
219C23×C61C23×C412yes—
220C23×C61C22×D412yes—
221C23×C61C22×D412yes—
222C23×C61C2×#4112yes—
223C23×C61C2×#4112yes—
224C23×C61H(5,𝔽2)12yes—
225C23×C612−1+412yes—
226C23×C61C2511yescharacteristic
227C22×D61—28no—
228C22×D61—28no—
229C22×D61—28no—
230C22×D61—28no—
231C22×D61—28no—
232C22×D61—28no—
233C22×D61—22no—
234C22×D61—22no—
235C22×D61—22no—
236C22×D61—22no—
237C22×D61C4×D4116yescomplemented
238C22×D61C23×C414yes—
239C22×D61C22×D414yes—
240C22×D61C2×#4114yes—
241D4×C61—232no—
242C2×C4×C61—28no—
243C2×C4×C61—22no—
244C2×C4×C61—22no—
245C2×C4×C61—24no—
246C2×C4×C61—24no—
247C2×C4×C61—22no—
248C2×C4×C61—22no—
249C2×C4×C61—22no—
250C2×C4×C61—24no—
251C2×C4×C61—48no—
252C2×C4×C61—44no—
253C2×C4×C61C4×D4116yescomplemented
254C2×C4×C61C23×C414yes—
255C2×C4×C61C22×D414yes—
256C2×C4×C61C22×D414yes—
257C2×C4×C61C2×#4114yes—
258C22⋊D61—264no—
259C2×Dic61—28no—
260C2×Dic61—216no—
261C2×Dic61—216no—
262C2×Dic61—28no—
263C2×Dic61—24no—
264C2×Dic61—24no—
265C2×Dic61—22no—
266C2×Dic61—22no—
267C2×Dic61—22no—
268C2×Dic61—24no—
269C2×Dic61—24no—
270C2×Dic61—22no—
271C2×Dic61—22no—
272C2×Dic61—22no—
273C2×Dic61—22no—
274C2×Dic61—432no—
275C2×Dic61—44no—
276C2×Dic61C23×C418yes—
277C2×Dic61C23×C414yes—
278C2×Dic61C22×D414yes—
279C2×Dic61C22×D418yes—
280C4×D61—232no—
281C4×D61—432no—
282C2×#2361—611nomaximal, Sylow
283C22×C61—28no—
284C22×C61—28no—
285C22×C61—28no—
286C22×C61—432no—
287C22×C61—44no—
288C22×C61—44no—
289C22×C61—44no—
290C22×C61—44no—
291C22×C61C2×C4×D414yes—
292C22×C61C2×C4×D414yes—
293C22×C61#52014yes—
294C22×C61D4214yes—
295C22×C61#54714yes—
296C22×C61#54814yes—
297C22×C61#55314yes—
298C22×C61C24×C411yescharacteristic
299C22×C61C23×D411yescharacteristic
300C22×C61C23×D411yescharacteristic
301C22×C61C22×#4111yescharacteristic
302C22×C61C22×#4111yescharacteristic
303C22×C61C2×H(5,𝔽2)11yescharacteristic
304C22×C61C2×2−1+411yescharacteristic
305C2×D61—232no—
306C2×D61—24no—
307C2×D61—24no—
308C2×D61—24no—
309C2×D61—24no—
310C2×D61—24no—
311C2×D61—24no—
312C2×D61C2×C4×D418yescomplemented
313C4×C61—24no—
314C4×C61—44no—
315C4×C61—42no—
316C4×C61C2×C4×D418yescomplemented
317Dic61—24no—
318Dic61—28no—
319Dic61—28no—
320Dic61—24no—
321Dic61—42no—
322C22×#121—611no—
323C22×C4×D4—611no—
324C22×C4×D4—612no—
325C23×C4⋊C4—611no—
326#2361—6116no—
327C2×#390D6111yescharacteristic, complemented
328C2×#389—611no—
329C2×#388—612no—
330C2×#386—612no—
331C2×#385—612no—
332C2×C4×C4⋊C4—611no—
333C2×C4×C22⋊C4—611no—
334C2×C61—48no—
335C2×C61#236118yescomplemented
336C2×C61C22×C4×D411yescharacteristic
337C2×C61C22×C4×D411yescharacteristic
338C2×C61C2×#52011yescharacteristic
339C2×C61C2×D4211yescharacteristic
340C2×C61C2×#54711yescharacteristic
341C2×C61C2×#54811yescharacteristic
342C2×C61C2×#55311yescharacteristic
343D61—28no—
344C23×D4—612no—
345C23×D4C2×D6111yescharacteristic
346C24×C4—611no—
347C24×C4—612no—
348C24×C4—612no—
349C2×#121—6116no—
350C2×#121—618no—
351C2×C4×D4—618no—
352C2×C4×D4—6116no—
353C2×C4×D4—12216no—
354C2×C4×D4—1228no—
355C22×C4⋊C4—611no—
356C22×C4⋊C4—611no—
357C22×C4⋊C4—612no—
358C22×C4⋊C4—612no—
359C22×C4⋊C4—618no—
360C22×C4⋊C4—1228no—
361C22×C4⋊C4C2×D6111yescharacteristic
362C22×C22⋊C4—612no—
363C22×C22⋊C4—611no—
364C22×C22⋊C4—612no—
365C22×C22⋊C4—611no—
366C22×C22⋊C4C2×D6112yes—
367C22×C22⋊C4C2×D6112yes—
368C22×C42—611no—
369C22×C42—612no—
370C22×C42C2×D6111yescharacteristic
371#390C2×D6118yescomplemented
372#389—618no—
373#388—6116no—
374#386—6116no—
375#385—6116no—
376C4×C4⋊C4—618no—
377C4×C22⋊C4—618no—
378C2×#95—611no—
379C2×#95—611no—
380C2×#95—612no—
381C2×#95—612no—
382C61C2×#236111yescharacteristic, complemented, Sylow
383C25—611no—
384C25C22×D6112yes—
385C22×D4—24no—
386C22×D4—24no—
387C22×D4—6116no—
388C22×D4—618no—
389C22×D4—1228no—
390C22×D4—1228no—
391C22×D4C4×D6118yescomplemented
392C22×D4C22×D6114yes—
393C23×C4—611no—
394C23×C4—611no—
395C23×C4—612no—
396C23×C4—612no—
397C23×C4—618no—
398C23×C4—614no—
399C23×C4—611no—
400C23×C4—618no—
401C23×C4—618no—
402C23×C4—1228no—
403C23×C4—1228no—
404C23×C4—1228no—
405C23×C4—1228no—
406C23×C4—1224no—
407C23×C4—1224no—
408C23×C4—2444no—
409C23×C4—2444no—
410C23×C4C22×D6111yescharacteristic
411C23×C4C22×D6112yes—
412C23×C4C22×D6111yescharacteristic
413C23×C4C22×D6111yescharacteristic
414#121—6164no—
415C4×D4—12264no—
416C4×D4—12232no—
417C2×C4⋊C4—24no—
418C2×C4⋊C4—618no—
419C2×C4⋊C4—618no—
420C2×C4⋊C4—614no—
421C2×C4⋊C4—614no—
422C2×C4⋊C4—618no—
423C2×C4⋊C4—618no—
424C2×C4⋊C4—12232no—
425C2×C4⋊C4—1228no—
426C2×C4⋊C4—1228no—
427C2×C4⋊C4C22×D6114yes—
428C2×C22⋊C4—28no—
429C2×C22⋊C4—44no—
430C2×C22⋊C4—6116no—
431C2×C22⋊C4—618no—
432C2×C22⋊C4—618no—
433C2×C22⋊C4—614no—
434C2×C22⋊C4—618no—
435C2×C22⋊C4—614no—
436C2×C22⋊C4—1224no—
437C2×C22⋊C4—1228no—
438C2×C22⋊C4C22×D6118yes—
439C2×C22⋊C4C22×D6118yes—
440C2×C42—24no—
441C2×C42—614no—
442C2×C42—618no—
443C2×C42—1228no—
444C2×C42—1224no—
445C2×C42C22×D6114yes—
446#95—614no—
447#95—614no—
448#95—618no—
449#95—618no—
450C24—24no—
451C24—24no—
452C24—24no—
453C24—24no—
454C24—24no—
455C24—24no—
456C24—614no—
457C24—614no—
458C24—614no—
459C24—612no—
460C24—1222no—
461C24—1222no—
462C24—1222no—
463C24—1222no—
464C24C2×C4×D6118yes—
465C24C23×D6114yes—
466C24C23×D6111yescharacteristic
467C2×D4—28no—
468C2×D4—28no—
469C2×D4—232no—
470C2×D4—6132no—
471C2×D4—12216no—
472C2×D4—12264no—
473C2×D4—12216no—
474C2×D4C2×C4×D61116yescomplemented
475C22×C4—22no—
476C22×C4—22no—
477C22×C4—24no—
478C22×C4—24no—
479C22×C4—22no—
480C22×C4—22no—
481C22×C4—22no—
482C22×C4—24no—
483C22×C4—614no—
484C22×C4—618no—
485C22×C4—614no—
486C22×C4—618no—
487C22×C4—614no—
488C22×C4—612no—
489C22×C4—612no—
490C22×C4—614no—
491C22×C4—6116no—
492C22×C4—612no—
493C22×C4—12216no—
494C22×C4—12216no—
495C22×C4—12216no—
496C22×C4—12216no—
497C22×C4—1224no—
498C22×C4—1224no—
499C22×C4—1222no—
500C22×C4—1222no—
501C22×C4—1224no—
502C22×C4—1222no—
503C22×C4—1224no—
504C22×C4—1222no—
505C22×C4—1228no—
506C22×C4—1228no—
507C22×C4—12232no—
508C22×C4—1222no—
509C22×C4—1222no—
510C22×C4—1222no—
511C22×C4—2448no—
512C22×C4—24432no—
513C22×C4—2448no—
514C22×C4—24432no—
515C22×C4C2×C4×D6114yes—
516C22×C4D4×D6114yes—
517C22×C4D4×D6114yes—
518C22×C4#1175822414yes—
519C22×C4C23×D6112yes—
520C22×C4C23×D6114yes—
521C22×C4C23×D6112yes—
522C22×C4C23×D6112yes—
523C4⋊C4—28no—
524C4⋊C4—6116no—
525C4⋊C4—6116no—
526C4⋊C4—12216no—
527C4⋊C4—12216no—
528C22⋊C4—216no—
529C22⋊C4—48no—
530C22⋊C4—6132no—
531C22⋊C4—6116no—
532C22⋊C4—1228no—
533C22⋊C4—12216no—
534C42—28no—
535C42—12216no—
536C42—1228no—
537C23—216no—
538C23—216no—
539C23—216no—
540C23—24no—
541C23—24no—
542C23—24no—
543C23—24no—
544C23—24no—
545C23—24no—
546C23—48no—
547C23—48no—
548C23—48no—
549C23—48no—
550C23—6116no—
551C23—614no—
552C23—614no—
553C23—614no—
554C23—1228no—
555C23—1228no—
556C23—1228no—
557C23—1222no—
558C23—1222no—
559C23—1222no—
560C23—1222no—
561C23—1228no—
562C23—1228no—
563C23—1228no—
564C23C22×C4×D6118yes—
565C23C22×C4×D6112yes—
566C23C2×D4×D6112yes—
567C23C2×D4×D6112yes—
568C23#41×D6112yes—
569C23C2×#1175822412yes—
570C23#1451982212yes—
571C23#1451982412yes—
572C23C24×D6111yescharacteristic
573D4—232no—
574D4—12264no—
575C2×C4—22no—
576C2×C4—22no—
577C2×C4—28no—
578C2×C4—24no—
579C2×C4—24no—
580C2×C4—22no—
581C2×C4—22no—
582C2×C4—22no—
583C2×C4—24no—
584C2×C4—44no—
585C2×C4—48no—
586C2×C4—614no—
587C2×C4—618no—
588C2×C4—614no—
589C2×C4—618no—
590C2×C4—12216no—
591C2×C4—1228no—
592C2×C4—1224no—
593C2×C4—1224no—
594C2×C4—1222no—
595C2×C4—1222no—
596C2×C4—1224no—
597C2×C4—1222no—
598C2×C4—1224no—
599C2×C4—1222no—
600C2×C4—12216no—
601C2×C4—1228no—
602C2×C4—12232no—
603C2×C4—1222no—
604C2×C4—1222no—
605C2×C4—1222no—
606C2×C4—24432no—
607C2×C4—24432no—
608C2×C4—2444no—
609C2×C4#14519737116yescomplemented
610C2×C4C22×C4×D6114yes—
611C2×C4C2×D4×D6114yes—
612C2×C4C2×D4×D6114yes—
613C2×C4C2×#1175822414yes—
614C22—28no—
615C22—28no—
616C22—28no—
617C22—44no—
618C22—44no—
619C22—44no—
620C22—432no—
621C22—44no—
622C22—618no—
623C22—1224no—
624C22—1224no—
625C22—1224no—
626C22—1224no—
627C22—1224no—
628C22—12232no—
629C22—1224no—
630C22C4×D4×D6114yes—
631C22C2×#1451973714yes—
632C22#1684024114yes—
633C22#1684039714yes—
634C22#1684041214yes—
635C22#1684042014yes—
636C22#1684045914yes—
637C22C23×C4×D6111yescharacteristic
638C22C22×D4×D6111yescharacteristic
639C22C22×D4×D6111yescharacteristic
640C22C2×#41×D6111yescharacteristic
641C22C22×#1175822411yescharacteristic
642C22C2×#1451982211yescharacteristic
643C22C2×#1451982411yescharacteristic
644C4—24no—
645C4—44no—
646C4—42no—
647C4—1228no—
648C4—1224no—
649C4—1228no—
650C4—1224no—
651C4—2442no—
652C4C2×#1451973718yescomplemented
653C2—48no—
654C2—1228no—
655C2#2144884018yesdirect product factor
656C2C2×C4×D4×D6111yescharacteristic
657C2C22×#1451973711yescharacteristic
658C2C2×#1684024111yescharacteristic
659C2C2×#1684039711yescharacteristic
660C2C2×#1684041211yescharacteristic
661C2C2×#1684042011yescharacteristic
662C2C2×#1684045911yescharacteristic
subgroupG/H
centerC24C23×D61
commutatorC22×C61C24×C4
FrattiniC23C24×D61
FittingC2×C61×#390C2
socleC24×C61C24
prime radicalC22×#14519748C2
cosocleC23×C61C25
hypercenterC2×#390D61
hypocenterC61C2×#2361
LCSG ▷ C22×C61 ▷ C61
UCSC1 ◁ C24 ◁ C2×#390

Complements

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

NH ≅ G/Ntype
2. C22×D4×Dic61C2semidirect
3. C22×#14519737C2semidirect
4. C22×C4⋊C4×D61C2semidirect
5. #21448840C2direct (N × H)
6. C2×#16839658C2semidirect
7. C2×#16839650C2semidirect
8. C2×#16839638C2semidirect
9. C2×#16839634C2semidirect
10. C2×C4×C4⋊Dic61C2semidirect
11. C2×C4×#11758198C2semidirect
12. C2×C61×#390C2semidirect
17. C2×#14519748C4semidirect
20. C2×D4×Dic61C22semidirect
22. C2×#14519737C22semidirect
28. C2×C4⋊C4×D61C22semidirect
35. #16839658C22semidirect
36. #16839650C22semidirect
37. #16839638C22semidirect
38. #16839634C22semidirect
39. C4×C4⋊Dic61C22semidirect
40. C4×#11758198C22semidirect
50. C61×#390C22semidirect
54. C22×C22⋊D61C2×C4semidirect
70. C22×C4×D61C2×C4semidirect
73. #14519748C2×C4semidirect
76. C2×C4⋊Dic61C2×C4semidirect
77. C2×C4⋊Dic61D4semidirect
86. C2×C22⋊Dic61C2×C4semidirect
90. C2×#11758198D4semidirect
104. C22×D4×C61C2×C4semidirect
138. C2×D4×C61C22×C4semidirect
158. C2×C22⋊D61C22×C4semidirect
190. C2×C4×D61C22×C4semidirect
196. C22⋊Dic61C22×C4semidirect
198. #11758198C2×D4semidirect
199. C4⋊Dic61C22×C4semidirect
200. C4⋊Dic61C2×D4semidirect
237. C22×D61C4×D4semidirect
253. C2×C4×C61C4×D4semidirect
312. C2×D61C2×C4×D4semidirect
316. C4×C61C2×C4×D4semidirect
327. C2×#390D61semidirect
335. C2×C61#2361semidirect
371. #390C2×D61semidirect
382. C61C2×#2361semidirect
391. C22×D4C4×D61semidirect
474. C2×D4C2×C4×D61semidirect
609. C2×C4#14519737semidirect
652. C4C2×#14519737semidirect
655. C2#21448840direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#145197482
C22×D4×Dic612
C22×#145197372
C22×C4⋊C4×D612
#214488402
C2×#168396582
C2×#168396502
C2×#168396382
C2×#168396342
C2×C4×C4⋊Dic612
C2×C4×#117581982
C2×C61×#3902
C2×#236161