Finite Group Databasebeta

← C2×#21449257 #29847823

Subgroups — C2×#21449257 #29847823

Order 15616.

4782 conjugacy classes of subgroups.

The subgroup lattice has 744 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#14519752C211yesmaximal, characteristic, complemented
2C22×#14519752C211yesmaximal, characteristic, complemented
3C22×#14519752C212yesmaximal, complemented
4C22×C4×D244C211yesmaximal, characteristic, complemented
5C22×C4⋊C4×D61C211yesmaximal, characteristic, complemented
6#21449257C2116yesmaximal, direct product factor
7C2×#16839684C212yesmaximal, complemented
8C2×#16839680C212yesmaximal, complemented
9C2×#16839664C211yesmaximal, characteristic, complemented
10C2×#16839640C212yesmaximal, complemented
11C2×#16839619C211yesmaximal, characteristic, complemented
12C2×C61×#389C211yesmaximal, characteristic, complemented
13C23×D244C2212yes—
14C23×D244C2211yescharacteristic
15C23×D244C2212yes—
16C23×D244C2211yescharacteristic
17C23×C4×D61C2211yescharacteristic
18C23×C4×D61C2212yes—
19C23×C4×D61C2211yescharacteristic
20C2×#14519752—28no—
21C2×#14519752—216no—
22C2×#14519752—28no—
23C2×#14519752C2218yescomplemented
24C2×#14519752C22116yescomplemented
25C2×#14519752C2218yescomplemented
26C2×C4×D244—28no—
27C2×C4×D244C2218yescomplemented
28C22×C4⋊Dic61C2211yescharacteristic
29C22×C4⋊Dic61C2211yescharacteristic
30C22×#11758196C2212yes—
31C2×C4⋊C4×D61—28no—
32C2×C4⋊C4×D61C2218yescomplemented
33C22×#11758198C2211yescharacteristic
34C22×#11758198C2212yes—
35C22×#11758198C2211yescharacteristic
36C22×#11758198C2212yes—
37C22×#11758198C2212yes—
38C22×#11758198C2212yes—
39C22×#11758198C2212yes—
40#16839684C22116yescomplemented
41#16839680C22116yescomplemented
42#16839664C2218yescomplemented
43#16839640C22116yescomplemented
44#16839619C2218yescomplemented
45C2×#14519684C2212yes—
46C22×C4⋊C4×C61C2212yes—
47C22×C4⋊C4×C61C2211yescharacteristic
48C22×C4⋊C4×C61C2211yescharacteristic
49C22×C42×C61C2211yescharacteristic
50C61×#389C2218yescomplemented
51C2×#95×C61C2212yes—
52C24×D61C2312yes—
53C24×D61C2311yescharacteristic
54C24×D61C2311yescharacteristic
55C22×D244—24no—
56C22×D244—24no—
57C22×D244—28no—
58C22×D244—28no—
59C22×D244—28no—
60C22×D244—28no—
61C22×D244—28no—
62C22×D244—24no—
63C22×D244—24no—
64C22×D244—24no—
65C22×D244—44no—
66C22×D244D418yescomplemented
67C22×D244C2318yes—
68C22×D244C2314yes—
69C22×D244C2318yes—
70C22×D244C2314yes—
71C23×Dic61C2312yes—
72C23×Dic61C2311yescharacteristic
73C23×Dic61C2311yescharacteristic
74C22×C4×D61—24no—
75C22×C4×D61—24no—
76C22×C4×D61—28no—
77C22×C4×D61—28no—
78C22×C4×D61—24no—
79C22×C4×D61—24no—
80C22×C4×D61—24no—
81C22×C4×D61—44no—
82C22×C4×D61D418yescomplemented
83C22×C4×D61C2314yes—
84C22×C4×D61C2318yes—
85C22×C4×D61C2314yes—
86#14519752—264no—
87#14519752—232no—
88#14519752—232no—
89C4×D244—232no—
90C2×C4⋊Dic61—24no—
91C2×C4⋊Dic61—24no—
92C2×C4⋊Dic61C2314yes—
93C2×C4⋊Dic61C2314yes—
94C2×#11758196—28no—
95C2×#11758196C2318yes—
96C4⋊C4×D61—232no—
97C2×#11758198—24no—
98C2×#11758198—28no—
99C2×#11758198—28no—
100C2×#11758198—28no—
101C2×#11758198—24no—
102C2×#11758198—28no—
103C2×#11758198—44no—
104C2×#11758198C2314yes—
105C2×#11758198C2318yes—
106C2×#11758198C2318yes—
107C2×#11758198C2318yes—
108C2×#11758198C2318yes—
109C2×#11758198C2314yes—
110C2×#11758198C2318yes—
111#14519684C2318yes—
112C23×C4×C61C2311yescharacteristic
113C23×C4×C61C2312yes—
114C23×C4×C61C2311yescharacteristic
115C23×C4×C61C2312yes—
116C23×C4×C61C2311yescharacteristic
117C2×C4⋊C4×C61—28no—
118C2×C4⋊C4×C61—24no—
119C2×C4⋊C4×C61D418yescomplemented
120C2×C4⋊C4×C61C2318yes—
121C2×C4⋊C4×C61C2314yes—
122C2×C4⋊C4×C61C2314yes—
123C2×C42×C61—24no—
124C2×C42×C61C2314yes—
125#95×C61C2318yes—
126C24×C61C2411yescharacteristic
127C23×D61—22no—
128C23×D61—22no—
129C23×D61—22no—
130C23×D61—22no—
131C23×D61—22no—
132C23×D61—22no—
133C23×D61—22no—
134C23×D61—22no—
135C23×D61—22no—
136C23×D61—22no—
137C23×D61—24no—
138C23×D61—24no—
139C23×D61—24no—
140C23×D61—24no—
141C23×D61—24no—
142C23×D61—24no—
143C23×D61—24no—
144C23×D61C2×D414yes—
145C23×D61C2×D414yes—
146C23×D61C2×D414yes—
147C23×D61#4114yes—
148C23×D61C2414yes—
149C23×D61C2412yes—
150C23×D61C2412yes—
151C22×C4×C61—24no—
152C22×C4×C61—22no—
153C22×C4×C61—22no—
154C22×C4×C61—24no—
155C22×C4×C61—24no—
156C22×C4×C61—24no—
157C22×C4×C61—22no—
158C22×C4×C61—24no—
159C22×C4×C61—22no—
160C22×C4×C61—22no—
161C22×C4×C61C2×D418yes—
162C22×C4×C61C2×D414yes—
163C22×C4×C61C2×D414yes—
164C22×C4×C61C2×D414yes—
165C22×C4×C61#4114yes—
166C22×C4×C61C2414yes—
167C22×C4×C61C2412yes—
168C22×C4×C61C2414yes—
169C22×C4×C61C2412yes—
170C22×C4×C61C2412yes—
171C22×Dic61—22no—
172C22×Dic61—22no—
173C22×Dic61—22no—
174C22×Dic61—24no—
175C22×Dic61—22no—
176C22×Dic61—24no—
177C22×Dic61—22no—
178C22×Dic61—24no—
179C22×Dic61C2×D414yes—
180C22×Dic61C2412yes—
181C22×Dic61C2414yes—
182C22×Dic61C2412yes—
183C2×D244—232no—
184C2×D244—28no—
185C2×D244—28no—
186C2×D244—216no—
187C2×D244—216no—
188C2×D244—216no—
189C2×D244—216no—
190C2×D244—216no—
191C2×D244—28no—
192C2×D244—28no—
193C2×D244—28no—
194C2×D244—48no—
195C2×D244—432no—
196C2×D244—432no—
197C2×D244—416no—
198C2×D244C2×D4116yescomplemented
199C2×C4×D61—232no—
200C2×C4×D61—28no—
201C2×C4×D61—28no—
202C2×C4×D61—216no—
203C2×C4×D61—216no—
204C2×C4×D61—28no—
205C2×C4×D61—28no—
206C2×C4×D61—28no—
207C2×C4×D61—48no—
208C2×C4×D61—432no—
209C2×C4×D61—416no—
210C2×C4×D61C2×D4116yescomplemented
211C4⋊C4×C61—216no—
212C4⋊C4×C61—28no—
213C4⋊C4×C61C2×D4116yescomplemented
214C42×C61—28no—
215#11758198—28no—
216#11758198—216no—
217#11758198—216no—
218#11758198—216no—
219#11758198—28no—
220#11758198—216no—
221#11758198—48no—
222C4⋊Dic61—28no—
223C4⋊Dic61—28no—
224#11758196—216no—
225C23×C61C22×D412yes—
226C23×C61C22×D412yes—
227C23×C61C22×D412yes—
228C23×C61C2×#4112yes—
229C23×C61C2×#4112yes—
230C23×C61H(5,𝔽2)12yes—
231C23×C612−1+412yes—
232C23×C61C2511yescharacteristic
233C22×D61—28no—
234C22×D61—28no—
235C22×D61—28no—
236C22×D61—28no—
237C22×D61—28no—
238C22×D61—28no—
239C22×D61—22no—
240C22×D61—22no—
241C22×D61—22no—
242C22×D61—22no—
243C22×D61—28no—
244C22×D61—28no—
245C22×D61—28no—
246C22×D61—22no—
247C22×D61—22no—
248C22×D61—22no—
249C22×D61—22no—
250C22×D61—22no—
251C22×D61—22no—
252C22×D61—24no—
253C22×D61—24no—
254C22×D61—24no—
255C22×D61—24no—
256C22×D61—24no—
257C22×D61—24no—
258C22×D61—24no—
259C22×D61—44no—
260C22×D61—44no—
261C22×D61—44no—
262C22×D61—44no—
263C22×D61—48no—
264C22×D61—48no—
265C22×D61—48no—
266C22×D61—48no—
267C22×D61—48no—
268C22×D61—48no—
269C22×D61—48no—
270C22×D61#121116yescomplemented
271C22×D61C22×D414yes—
272C22×D61C22×D414yes—
273C22×D61C22×D414yes—
274C22×D61C2×#4114yes—
275C2×C4×C61—28no—
276C2×C4×C61—216no—
277C2×C4×C61—22no—
278C2×C4×C61—24no—
279C2×C4×C61—22no—
280C2×C4×C61—24no—
281C2×C4×C61—22no—
282C2×C4×C61—24no—
283C2×C4×C61—24no—
284C2×C4×C61—24no—
285C2×C4×C61—22no—
286C2×C4×C61—22no—
287C2×C4×C61—48no—
288C2×C4×C61—44no—
289C2×C4×C61#121116yescomplemented
290C2×C4×C61C22×D414yes—
291C2×C4×C61C22×D418yes—
292C2×C4×C61C22×D414yes—
293C2×C4×C61C22×D414yes—
294C2×C4×C61C2×#4114yes—
295C2×Dic61—28no—
296C2×Dic61—22no—
297C2×Dic61—22no—
298C2×Dic61—24no—
299C2×Dic61—22no—
300C2×Dic61—22no—
301C2×Dic61—24no—
302C2×Dic61—22no—
303C2×Dic61—24no—
304C2×Dic61—44no—
305C2×Dic61—48no—
306C2×Dic61C22×D414yes—
307D244—232no—
308D244—432no—
309D244—432no—
310D244—416no—
311C4×D61—232no—
312C4×D61—432no—
313C4×D61—416no—
314C2×#2416—611nomaximal, Sylow
315C22×C61C2×#12114yes—
316C22×C61C2×#12114yes—
317C22×C61#53714yes—
318C22×C61D4214yes—
319C22×C61#54714yes—
320C22×C61#54814yes—
321C22×C61#55314yes—
322C22×C61C23×D411yescharacteristic
323C22×C61C23×D411yescharacteristic
324C22×C61C23×D411yescharacteristic
325C22×C61C22×#4111yescharacteristic
326C22×C61C22×#4111yescharacteristic
327C22×C61C2×H(5,𝔽2)11yescharacteristic
328C22×C61C2×2−1+411yescharacteristic
329C2×D61—24no—
330C2×D61—232no—
331C2×D61—24no—
332C2×D61—24no—
333C2×D61—24no—
334C2×D61—24no—
335C2×D61—24no—
336C2×D61—24no—
337C2×D61—24no—
338C2×D61—24no—
339C2×D61—42no—
340C2×D61—416no—
341C2×D61—42no—
342C2×D61—42no—
343C2×D61—42no—
344C2×D61—44no—
345C2×D61—44no—
346C2×D61—44no—
347C2×D61—44no—
348C2×D61—44no—
349C2×D61—44no—
350C2×D61—44no—
351C2×D61—816no—
352C2×D61C2×#12118yescomplemented
353C4×C61—24no—
354C4×C61—28no—
355C4×C61—44no—
356C4×C61—42no—
357C4×C61C2×#12118yescomplemented
358Dic61—24no—
359Dic61—42no—
360Dic61—44no—
361C22×#121—611no—
362C22×#121—612no—
363C22×#121—611no—
364C22×C4×D4—611no—
365C23×C4⋊C4—611no—
366#2416—6116no—
367C2×#396—612no—
368C2×#394—612no—
369C2×#390—611no—
370C2×#389D6111yescharacteristic, complemented
371C2×#386—612no—
372C2×#380—611no—
373C2×C61#241618yescomplemented
374C2×C61C22×#12111yescharacteristic
375C2×C61C22×#12111yescharacteristic
376C2×C61C2×#53711yescharacteristic
377C2×C61C2×D4211yescharacteristic
378C2×C61C2×#54711yescharacteristic
379C2×C61C2×#54811yescharacteristic
380C2×C61C2×#55311yescharacteristic
381D61—28no—
382D61—44no—
383D61—84no—
384C23×D4—611no—
385C23×D4—612no—
386C23×D4—611no—
387C23×D4—612no—
388C24×C4—611no—
389C24×C4—611no—
390C24×C4—612no—
391C2×#121—6116no—
392C2×#121—618no—
393C2×#121—618no—
394C2×#121—1228no—
395C2×#121—12216no—
396C2×#121—1228no—
397C2×C4×D4—618no—
398C2×C4×D4—1228no—
399C22×C4⋊C4—612no—
400C22×C4⋊C4—611no—
401C22×C4⋊C4—611no—
402C22×C4⋊C4—618no—
403C22×C4⋊C4—1228no—
404C22×C4⋊C4C2×D6112yes—
405C22×C4⋊C4C2×D6111yescharacteristic
406C22×C4⋊C4C2×D6111yescharacteristic
407C22×C22⋊C4—611no—
408C22×C22⋊C4—612no—
409C22×C22⋊C4—612no—
410C22×C22⋊C4—612no—
411C22×C22⋊C4—612no—
412C22×C22⋊C4—611no—
413C22×C22⋊C4—612no—
414C22×C42C2×D6111yescharacteristic
415#396—6116no—
416#394—6116no—
417#390—618no—
418#389C2×D6118yescomplemented
419#386—6116no—
420#380—618no—
421C2×#95—612no—
422C2×#95C2×D6112yes—
423C61C2×#241611yescharacteristic, complemented, Sylow
424C25—611no—
425C25—611no—
426C25—612no—
427C22×D4—618no—
428C22×D4—614no—
429C22×D4—618no—
430C22×D4—614no—
431C22×D4—618no—
432C22×D4—1224no—
433C22×D4—1224no—
434C22×D4—1228no—
435C22×D4—1228no—
436C22×D4—1228no—
437C22×D4—1228no—
438C22×D4—1228no—
439C22×D4—1224no—
440C22×D4—1224no—
441C22×D4—1224no—
442C22×D4—2444no—
443C23×C4—611no—
444C23×C4—618no—
445C23×C4—614no—
446C23×C4—612no—
447C23×C4—611no—
448C23×C4—614no—
449C23×C4—618no—
450C23×C4—1228no—
451C23×C4—1224no—
452C23×C4—1224no—
453C23×C4—1228no—
454C23×C4—1224no—
455C23×C4—1224no—
456C23×C4—1224no—
457C23×C4—2444no—
458C23×C4C22×D6111yescharacteristic
459C23×C4C22×D6112yes—
460C23×C4C22×D6112yes—
461C23×C4C22×D6111yescharacteristic
462C23×C4C22×D6111yescharacteristic
463#121—12232no—
464#121—12264no—
465#121—12232no—
466C4×D4—12232no—
467C2×C4⋊C4—28no—
468C2×C4⋊C4—24no—
469C2×C4⋊C4—614no—
470C2×C4⋊C4—618no—
471C2×C4⋊C4—614no—
472C2×C4⋊C4—1224no—
473C2×C4⋊C4—1228no—
474C2×C4⋊C4—1224no—
475C2×C4⋊C4—12232no—
476C2×C4⋊C4D24418yescomplemented
477C2×C4⋊C4C22×D6114yes—
478C2×C4⋊C4C22×D6118yes—
479C2×C4⋊C4C22×D6114yes—
480C2×C22⋊C4—614no—
481C2×C22⋊C4—614no—
482C2×C22⋊C4—618no—
483C2×C22⋊C4—618no—
484C2×C22⋊C4—618no—
485C2×C22⋊C4—618no—
486C2×C22⋊C4—618no—
487C2×C22⋊C4—1224no—
488C2×C22⋊C4—1228no—
489C2×C22⋊C4—1224no—
490C2×C22⋊C4—1228no—
491C2×C22⋊C4—1228no—
492C2×C22⋊C4—1228no—
493C2×C22⋊C4—2444no—
494C2×C42—24no—
495C2×C42C22×D6114yes—
496#95—618no—
497#95C22×D6118yes—
498C24—614no—
499C24—614no—
500C24—614no—
501C24—612no—
502C24—614no—
503C24—612no—
504C24—614no—
505C24—1222no—
506C24—1222no—
507C24—1222no—
508C24—1222no—
509C24—1222no—
510C24—1222no—
511C24—1222no—
512C24—1222no—
513C24—1222no—
514C24—1222no—
515C24—1224no—
516C24—1224no—
517C24—1224no—
518C24—1224no—
519C24—1224no—
520C24—1224no—
521C24—1224no—
522C24C23×D6111yescharacteristic
523C2×D4—6116no—
524C2×D4—1228no—
525C2×D4—12232no—
526C2×D4—1228no—
527C2×D4—12216no—
528C2×D4—12216no—
529C2×D4—12216no—
530C2×D4—12216no—
531C2×D4—1228no—
532C2×D4—12216no—
533C2×D4—1228no—
534C2×D4—1228no—
535C2×D4—2448no—
536C2×D4—24432no—
537C2×D4—24432no—
538C2×D4—24416no—
539C22×C4—22no—
540C22×C4—24no—
541C22×C4—22no—
542C22×C4—24no—
543C22×C4—22no—
544C22×C4—24no—
545C22×C4—24no—
546C22×C4—24no—
547C22×C4—22no—
548C22×C4—22no—
549C22×C4—614no—
550C22×C4—612no—
551C22×C4—6116no—
552C22×C4—612no—
553C22×C4—614no—
554C22×C4—12216no—
555C22×C4—1222no—
556C22×C4—1222no—
557C22×C4—1228no—
558C22×C4—1228no—
559C22×C4—12232no—
560C22×C4—1224no—
561C22×C4—1222no—
562C22×C4—1222no—
563C22×C4—1224no—
564C22×C4—1222no—
565C22×C4—1224no—
566C22×C4—1228no—
567C22×C4—12216no—
568C22×C4—1228no—
569C22×C4—1228no—
570C22×C4—2448no—
571C22×C4—24432no—
572C22×C4—24416no—
573C22×C4C2×D24418yes—
574C22×C4C2×D24414yes—
575C22×C4D4×D6114yes—
576C22×C4D4×D6114yes—
577C22×C4#1175822614yes—
578C22×C4C23×D6114yes—
579C22×C4C23×D6112yes—
580C22×C4C23×D6112yes—
581C22×C4C23×D6114yes—
582C22×C4C23×D6112yes—
583C4⋊C4—216no—
584C4⋊C4—28no—
585C4⋊C4—1228no—
586C4⋊C4—12216no—
587C4⋊C4—1228no—
588C4⋊C4C2×D244116yescomplemented
589C22⋊C4—1228no—
590C22⋊C4—12216no—
591C22⋊C4—1228no—
592C22⋊C4—12216no—
593C22⋊C4—12216no—
594C22⋊C4—12216no—
595C22⋊C4—2448no—
596C42—28no—
597C23—6116no—
598C23—614no—
599C23—614no—
600C23—614no—
601C23—614no—
602C23—1228no—
603C23—1228no—
604C23—1222no—
605C23—1222no—
606C23—1222no—
607C23—1222no—
608C23—1228no—
609C23—1228no—
610C23—1228no—
611C23—1228no—
612C23—1228no—
613C23—1222no—
614C23—1222no—
615C23—1222no—
616C23—1222no—
617C23—1222no—
618C23—1222no—
619C23—1228no—
620C23—1228no—
621C23—1224no—
622C23—1224no—
623C23—1224no—
624C23—1224no—
625C23—1224no—
626C23—1224no—
627C23—1224no—
628C23—2448no—
629C23—2448no—
630C23—2448no—
631C23—2448no—
632C23—2448no—
633C23—2448no—
634C23—2448no—
635C23—2444no—
636C23—2444no—
637C23—2444no—
638C23—2444no—
639C23C2×D4×D6112yes—
640C23C2×D4×D6112yes—
641C23C22×D24412yes—
642C23#41×D6112yes—
643C23C2×#1175822612yes—
644C23#1451982312yes—
645C23#1451982512yes—
646C23C24×D6111yescharacteristic
647D4—12232no—
648D4—24432no—
649D4—24432no—
650D4—24416no—
651C2×C4—28no—
652C2×C4—22no—
653C2×C4—24no—
654C2×C4—22no—
655C2×C4—24no—
656C2×C4—216no—
657C2×C4—22no—
658C2×C4—24no—
659C2×C4—24no—
660C2×C4—24no—
661C2×C4—22no—
662C2×C4—22no—
663C2×C4—48no—
664C2×C4—44no—
665C2×C4—614no—
666C2×C4—1228no—
667C2×C4—1222no—
668C2×C4—1222no—
669C2×C4—12232no—
670C2×C4—1224no—
671C2×C4—1222no—
672C2×C4—1222no—
673C2×C4—1224no—
674C2×C4—1222no—
675C2×C4—1224no—
676C2×C4—24432no—
677C2×C4—2444no—
678C2×C4—2448no—
679C2×C4—24416no—
680C2×C4#14519752116yescomplemented
681C2×C4C2×D4×D6114yes—
682C2×C4C2×D4×D6114yes—
683C2×C4C22×D24418yes—
684C2×C4C22×D24414yes—
685C2×C4C2×#1175822614yes—
686C22—618no—
687C22—12232no—
688C22—1224no—
689C22—1224no—
690C22—1224no—
691C22—1224no—
692C22—1224no—
693C22—1224no—
694C22—1224no—
695C22—1224no—
696C22—1224no—
697C22—48816no—
698C22—2444no—
699C22—2444no—
700C22—2444no—
701C22—2444no—
702C22—2444no—
703C22—2444no—
704C22—2444no—
705C22—24416no—
706C22—2442no—
707C22—2442no—
708C22—2442no—
709C22—2442no—
710C22#121×D6114yes—
711C22C2×#1451975214yes—
712C22#1684034214yes—
713C22D4×D24414yes—
714C22#1684041514yes—
715C22#1684042414yes—
716C22#1684046514yes—
717C22C22×D4×D6111yescharacteristic
718C22C22×D4×D6111yescharacteristic
719C22C23×D24411yescharacteristic
720C22C2×#41×D6111yescharacteristic
721C22C22×#1175822611yescharacteristic
722C22C2×#1451982311yescharacteristic
723C22C2×#1451982511yescharacteristic
724C4—28no—
725C4—24no—
726C4—44no—
727C4—42no—
728C4—1224no—
729C4—2444no—
730C4—2442no—
731C4C2×#1451975218yescomplemented
732C2—1228no—
733C2—4884no—
734C2—2444no—
735C2#2144925718yesdirect product factor
736C2C2×#121×D6111yescharacteristic
737C2C22×#1451975211yescharacteristic
738C2C2×#1684034211yescharacteristic
739C2C2×D4×D24411yescharacteristic
740C2C2×#1684041511yescharacteristic
741C2C2×#1684042411yescharacteristic
742C2C2×#1684046511yescharacteristic
subgroupG/H
centerC24C23×D61
commutator, cosocleC23×C61C25
FrattiniC23C24×D61
FittingC2×C61×#389C2
socleC24×C61C24
hypercenterC2×#389D61
hypocenterC61C2×#2416
LCSG ▷ C23×C61 ▷ C61
UCSC1 ◁ C24 ◁ C2×#389

Complements

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

NH ≅ G/Ntype
1. C22×#14519752C2semidirect
2. C22×#14519752C2semidirect
3. C22×#14519752C2semidirect
4. C22×C4×D244C2semidirect
5. C22×C4⋊C4×D61C2semidirect
6. #21449257C2direct (N × H)
7. C2×#16839684C2semidirect
8. C2×#16839680C2semidirect
9. C2×#16839664C2semidirect
10. C2×#16839640C2semidirect
11. C2×#16839619C2semidirect
12. C2×C61×#389C2semidirect
23. C2×#14519752C22semidirect
24. C2×#14519752C22semidirect
25. C2×#14519752C22semidirect
27. C2×C4×D244C22semidirect
32. C2×C4⋊C4×D61C22semidirect
40. #16839684C22semidirect
41. #16839680C22semidirect
42. #16839664C22semidirect
43. #16839640C22semidirect
44. #16839619C22semidirect
50. C61×#389C22semidirect
66. C22×D244D4semidirect
82. C22×C4×D61D4semidirect
119. C2×C4⋊C4×C61D4semidirect
198. C2×D244C2×D4semidirect
210. C2×C4×D61C2×D4semidirect
213. C4⋊C4×C61C2×D4semidirect
270. C22×D61#121semidirect
289. C2×C4×C61#121semidirect
352. C2×D61C2×#121semidirect
357. C4×C61C2×#121semidirect
370. C2×#389D61semidirect
373. C2×C61#2416semidirect
418. #389C2×D61semidirect
423. C61C2×#2416semidirect
476. C2×C4⋊C4D244semidirect
588. C4⋊C4C2×D244semidirect
680. C2×C4#14519752semidirect
731. C4C2×#14519752semidirect
735. C2#21449257direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#145197522
C22×C4×D2442
C22×C4⋊C4×D612
#214492572
C2×#168396842
C2×#168396802
C2×#168396642
C2×#168396402
C2×#168396192
C2×C61×#3892
C2×#241661