Finite Group Databasebeta

← C2×#21461804 #30615596

Subgroups — C2×#21461804 #30615596

Order 15616.

2270 conjugacy classes of subgroups.

The subgroup lattice has 698 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C23×C4⋊#6923C211yesmaximal, characteristic
2C22×#14519840C212yesmaximal, complemented
3C2×D61⋊(C22⋊C8)C211yesmaximal, characteristic
4#21461804C218yesmaximal, direct product factor
5C2×#16840635C212yesmaximal, complemented
6C2×C22⋊Q8×D61C211yesmaximal, characteristic
7C24×#6923—21no—
8C22×D61⋊C8C2212yes—
9C22×C4⋊#6923—28no—
10C22×C4⋊#6923—21no—
11C22×C4⋊#6923—22no—
12C22×C4⋊#6923C2214yes—
13C22×C4⋊#6923C2212yes—
14C2×#14519840—28no—
15C2×#14519840C2218yescomplemented
16C2×#14519834—21no—
17D61⋊(C22⋊C8)—22no—
18D61⋊(C22⋊C8)C2214yes—
19C2×C22⋊#92420—21no—
20#16840635C2218yescomplemented
21C22×Q8×D61C2211yescharacteristic
22C23×C4×D61C2211yescharacteristic
23C2×#14519757C411yescharacteristic, complemented
24C2×#14519756C411yescharacteristic, complemented
25C2×#14519755—21no—
26C2×#14519754—21no—
27C2×#14519753C411yescharacteristic, complemented
28C22⋊Q8×D61—22no—
29C22⋊Q8×D61—22no—
30C22⋊Q8×D61C414yescomplemented
31C22⋊Q8×D61C2214yes—
32C2×C4⋊C4×D61—21no—
33C2×C4⋊C4×D61C2211yescharacteristic
34C2×C22⋊C4×D61—21no—
35C2×C22⋊Q8×C61C411yescharacteristic, complemented
36C23×#6923—28no—
37C23×#6923—24no—
38C23×#6923—22no—
39C23×#6923—44no—
40C23×#6923—44no—
41C2×D61⋊C8—24no—
42C2×D61⋊C8—24no—
43C2×D61⋊C8—22no—
44C2×D61⋊C8C2314yes—
45C22×#92420—22no—
46C2×C4⋊#6923—28no—
47C2×C4⋊#6923—216no—
48C2×C4⋊#6923—24no—
49C2×C4⋊#6923—22no—
50C2×C4⋊#6923—24no—
51C2×C4⋊#6923—216no—
52C2×C4⋊#6923D418yes—
53C2×C4⋊#6923C2314yes—
54#14519840—216no—
55#14519834—24no—
56C22⋊#92420—24no—
57C24×D61D411yescharacteristic
58C22×Dic122—21no—
59C22×Dic122C2×C411yescharacteristic, complemented
60C2×Q8×D61—21no—
61C2×Q8×D61—21no—
62C2×Q8×D61—24no—
63C2×Q8×D61—24no—
64C2×Q8×D61C2×C412yescomplemented
65C2×Q8×D61C2312yes—
66C23×Dic61D411yescharacteristic
67C22×C4×D61—24no—
68C22×C4×D61—24no—
69C22×C4×D61—21no—
70C22×C4×D61—21no—
71C22×C4×D61C2×C412yes—
72C22×C4×D61C2×C411yescharacteristic
73C22×C4×D61D411yescharacteristic
74C22×C4×D61D412yes—
75C22×C4×D61D412yes—
76C22×C4×D61D411yescharacteristic
77C22×C4×D61C2312yes—
78C22×C4×D61C2311yescharacteristic
79#14519757—22no—
80#14519757C2×C414yescomplemented
81#14519756—22no—
82#14519756C2×C414yescomplemented
83#14519755—24no—
84#14519755—24no—
85#14519754—24no—
86#14519754—24no—
87#14519753—22no—
88#14519753C2×C414yescomplemented
89C2×C4⋊Dic61—21no—
90C2×C4⋊Dic61C2×C411yescharacteristic, complemented
91C2×#11758196—21no—
92C2×#11758196—21no—
93C2×#11758196—21no—
94C4⋊C4×D61—24no—
95C4⋊C4×D61—24no—
96C4⋊C4×D61—21no—
97C4⋊C4×D61—21no—
98C4⋊C4×D61C2×C412yescomplemented
99C4⋊C4×D61C2312yes—
100C2×C22⋊Dic61—21no—
101C2×#11758198—21no—
102C2×#11758198—21no—
103C22⋊C4×D61—24no—
104C22⋊C4×D61—24no—
105C22×Q8×C61C2×C411yescharacteristic, complemented
106C23×C4×C61C2×C411yescharacteristic
107C22⋊Q8×C61—22no—
108C22⋊Q8×C61C2×C414yescomplemented
109C2×C4⋊C4×C61—21no—
110C2×C4⋊C4×C61C2×C411yescharacteristic, complemented
111C2×C22⋊C4×C61—21no—
112C24×C61C22⋊C411yescharacteristic
113C23×D61—22no—
114C23×D61—22no—
115C23×D61—22no—
116C23×D61—22no—
117C23×D61C22⋊C412yes—
118C23×D61C22⋊C411yescharacteristic
119C23×D61SD1614yes—
120C23×D61Q1614yes—
121C23×D61C2×D412yes—
122C23×D61C2×D411yescharacteristic
123C22×#6923—216no—
124C22×#6923—28no—
125C22×#6923—24no—
126C22×#6923—48no—
127C22×#6923—432no—
128C22×#6923—48no—
129C22×#6923—44no—
130C22×#6923—44no—
131C2×Q8×C61—21no—
132C2×Q8×C61—24no—
133C2×Q8×C61C22×C412yescomplemented
134C22×C4×C61—24no—
135C22×C4×C61—21no—
136C22×C4×C61—21no—
137C22×C4×C61C22⋊C411yescharacteristic
138C22×C4×C61C22⋊C412yes—
139C22×C4×C61C22×C412yes—
140C22×C4×C61C22×C411yescharacteristic
141C22×Dic61—24no—
142C22×Dic61—21no—
143C22×Dic61—21no—
144C22×Dic61C22⋊C411yescharacteristic
145C22×Dic61C22⋊C412yes—
146C22×Dic61C2×D412yes—
147C22×Dic61C2×D411yescharacteristic
148Q8×D61—28no—
149Q8×D61—24no—
150Q8×D61—24no—
151Q8×D61—42no—
152Q8×D61—44no—
153Q8×D61—42no—
154C2×C4×D61—22no—
155C2×C4×D61—22no—
156C2×C4×D61—24no—
157C2×C4×D61—24no—
158C2×C4×D61—28no—
159C2×C4×D61—24no—
160C2×C4×D61—28no—
161C2×C4×D61—24no—
162C2×C4×D61—24no—
163C2×C4×D61—24no—
164C2×C4×D61—22no—
165C2×C4×D61—22no—
166C2×C4×D61—22no—
167C2×C4×D61—22no—
168C2×C4×D61—42no—
169C2×C4×D61—42no—
170C2×C4×D61—42no—
171C2×C4×D61—42no—
172C2×C4×D61C22⋊C412yes—
173C2×C4×D61C22⋊C412yes—
174C2×C4×D61C22⋊C412yes—
175C2×C4×D61C22×C412yes—
176C2×C4×D61C22×C411yescharacteristic
177C2×C4×D61C2×D412yes—
178C2×C4×D61C2×D412yes—
179C2×C4×D61C2×D414yes—
180C2×C4×D61C2×D411yescharacteristic
181C2×C4×D61C2×D411yescharacteristic
182C2×C4×D61#4114yes—
183C2×C4×D61C2411yescharacteristic
184C2×Dic122—24no—
185C2×Dic122—21no—
186C2×Dic122—22no—
187C2×Dic122—22no—
188C2×Dic122—44no—
189C2×Dic122C22×C412yescomplemented
190C2×#92420—24no—
191C2×#92420—44no—
192C4⋊#6923—216no—
193C4⋊#6923—28no—
194C4⋊#6923—24no—
195C4⋊#6923C2×D418yes—
196D61⋊C8—24no—
197D61⋊C8—24no—
198D61⋊C8—44no—
199C4⋊C4×C61—24no—
200C4⋊C4×C61—21no—
201C4⋊C4×C61C22×C412yescomplemented
202C22⋊C4×C61—24no—
203C22⋊Dic61—24no—
204#11758198—24no—
205#11758198—24no—
206C4⋊Dic61—21no—
207C4⋊Dic61—24no—
208C4⋊Dic61C22×C412yescomplemented
209#11758196—24no—
210#11758196—24no—
211#11758196—22no—
212#11758196—22no—
213C23×C61—22no—
214C23×C61—22no—
215C23×C61#10314yescomplemented
216C23×C61C2×C22⋊C412yes—
217C23×C61C2×C22⋊C411yescharacteristic
218C22×D61—22no—
219C22×D61—22no—
220C22×D61—22no—
221C22×D61—22no—
222C22×D61—22no—
223C22×D61—22no—
224C22×D61—24no—
225C22×D61—24no—
226C22×D61—28no—
227C22×D61—28no—
228C22×D61—28no—
229C22×D61—28no—
230C22×D61#10318yescomplemented
231C22×D61#10314yescomplemented
232C22×D61C2×C22⋊C412yes—
233C22×D61C2×C22⋊C411yescharacteristic
234C22×D61#12012yes—
235C22×D61#12312yes—
236C22×D61C2×SD1614yes—
237C22×D61C2×SD1612yes—
238C22×D61C2×Q1614yes—
239C22×D61C2×Q1612yes—
240C22×D61AGL(1,ℤ/8)12yes—
241C22×D61#13712yes—
242C22×D61C22×D411yescharacteristic
243C2×#6923—28no—
244C2×#6923—432no—
245C2×#6923—44no—
246C2×#6923—44no—
247C2×#6923—416no—
248Q8×C61—24no—
249Q8×C61—42no—
250C2×C4×C61—22no—
251C2×C4×C61—24no—
252C2×C4×C61—24no—
253C2×C4×C61—22no—
254C2×C4×C61—22no—
255C2×C4×C61—42no—
256C2×C4×C61—42no—
257C2×C4×C61C2×C22⋊C412yes—
258C2×C4×C61C2×C22⋊C411yescharacteristic
259C2×C4×C61C4×D414yes—
260C2×C4×C61C23×C411yescharacteristic
261C2×Dic61—22no—
262C2×Dic61—24no—
263C2×Dic61—24no—
264C2×Dic61—22no—
265C2×Dic61—22no—
266C2×Dic61—42no—
267C2×Dic61—42no—
268C2×Dic61C2×C22⋊C412yes—
269C2×Dic61C2×C22⋊C411yescharacteristic
270C2×Dic61#12114yes—
271C2×Dic61C22×D411yescharacteristic
272C4×D61—22no—
273C4×D61—22no—
274C4×D61—24no—
275C4×D61—24no—
276C4×D61—24no—
277C4×D61—24no—
278C4×D61—24no—
279C4×D61—42no—
280C4×D61—42no—
281C4×D61—42no—
282C4×D61—42no—
283C4×D61—44no—
284C4×D61—44no—
285C4×D61C4×D414yes—
286C4×D61#12012yes—
287C4×D61#12114yes—
288C4×D61#12312yes—
289C4×D61C22×D412yes—
290C4×D61C2×#4112yes—
291Dic122—24no—
292Dic122—42no—
293Dic122—44no—
294Dic122—44no—
295#92420—44no—
296C2×#1872—611nomaximal, Sylow
297C22×C61—22no—
298C22×C61—28no—
299C22×C61—22no—
300C22×C61#38612yes—
301C22×C61C2×#10312yes—
302C22×C61C2×#10314yescomplemented
303C22×C61#41712yes—
304C22×C61C22×C22⋊C411yescharacteristic
305C2×D61—22no—
306C2×D61—28no—
307C2×D61—22no—
308C2×D61—24no—
309C2×D61—24no—
310C2×D61—216no—
311C2×D61—24no—
312C2×D61—24no—
313C2×D61#38612yes—
314C2×D61C2×#10312yes—
315C2×D61C2×#10314yescomplemented
316C2×D61#41712yes—
317C2×D61#45014yes—
318C2×D61#45114yes—
319C2×D61#48314yes—
320C2×D61#48414yes—
321C2×D61C2×#12011yescharacteristic
322C2×D61C2×#12311yescharacteristic
323C2×D61C22×SD1611yescharacteristic
324C2×D61C22×Q1611yescharacteristic
325C2×D61C2×AGL(1,ℤ/8)11yescharacteristic
326C2×D61C2×#13711yescharacteristic
327#6923—48no—
328C4×C61—22no—
329C4×C61—42no—
330C4×C61—42no—
331C4×C61#38612yes—
332C4×C61C2×C4×D412yes—
333Dic61—22no—
334Dic61—42no—
335Dic61—42no—
336Dic61#38612yes—
337Dic61C2×#12112yes—
338C22×C22⋊Q8—611no—
339C23×C4⋊C4—611no—
340C22×#103—612no—
341C22×C22⋊C8—611no—
342#1872—618no—
343C2×#340—612no—
344C2×C61—24no—
345C2×C61#187214yescomplemented
346C2×C61C2×#38611yescharacteristic
347C2×C61C22×#10311yescharacteristic
348C2×C61C2×#41711yescharacteristic
349D61—24no—
350D61#187214yescomplemented
351D61C2×#45011yescharacteristic
352D61C2×#45111yescharacteristic
353D61C2×#48311yescharacteristic
354D61C2×#48411yescharacteristic
355C23×Q8—611no—
356C24×C4—611no—
357C24×C4—1221no—
358C23×C8—612no—
359C2×C22⋊Q8—611no—
360C2×C22⋊Q8—611no—
361C2×C22⋊Q8—614no—
362C2×C22⋊Q8—614no—
363C2×C22⋊Q8—611no—
364C2×C22⋊Q8—1221no—
365C2×C22⋊Q8—1221no—
366C2×C22⋊Q8—1222no—
367C2×C22⋊Q8—1222no—
368C2×C22⋊Q8#692311yescharacteristic, complemented
369C22×C4⋊C4—612no—
370C22×C4⋊C4—611no—
371C22×C4⋊C4—614no—
372C22×C4⋊C4—1221no—
373C22×C4⋊C4—1228no—
374C22×C4⋊C4—1221no—
375C22×C4⋊C4—1222no—
376C22×C22⋊C4—1221no—
377C2×#103—618no—
378C2×#103—1228no—
379C2×C22⋊C8—614no—
380C2×C22⋊C8—1221no—
381C2×C22⋊C8—1222no—
382C2×C22⋊C8—1221no—
383#340—618no—
384C61C2×#187211yescharacteristic, complemented, Sylow
385C25—611no—
386C22×Q8—612no—
387C22×Q8—612no—
388C22×Q8—611no—
389C22×Q8—1221no—
390C22×Q8—1221no—
391C22×Q8—1221no—
392C22×Q8—1224no—
393C22×Q8—1224no—
394C22×Q8C2×#692311yescharacteristic, complemented
395C23×C4—611no—
396C23×C4—611no—
397C23×C4—611no—
398C23×C4—612no—
399C23×C4—611no—
400C23×C4—612no—
401C23×C4—612no—
402C23×C4—612no—
403C23×C4—611no—
404C23×C4—1224no—
405C23×C4—1224no—
406C23×C4—1221no—
407C23×C4—1221no—
408C23×C4—1222no—
409C23×C4—1224no—
410C23×C4—1228no—
411C23×C4—2444no—
412C23×C4—2444no—
413C23×C4C2×#692311yescharacteristic
414C22×C8—614no—
415C22×C8—1222no—
416C22×C8—1224no—
417C22×C8—1222no—
418C22×C8—1224no—
419C22⋊Q8—22no—
420C22⋊Q8—614no—
421C22⋊Q8—614no—
422C22⋊Q8—614no—
423C22⋊Q8—1224no—
424C22⋊Q8—1224no—
425C22⋊Q8—1224no—
426C22⋊Q8—1224no—
427C22⋊Q8—1222no—
428C22⋊Q8—1222no—
429C22⋊Q8—1222no—
430C22⋊Q8C2×#692314yescomplemented
431C2×C4⋊C4—21no—
432C2×C4⋊C4—614no—
433C2×C4⋊C4—618no—
434C2×C4⋊C4—611no—
435C2×C4⋊C4—612no—
436C2×C4⋊C4—612no—
437C2×C4⋊C4—1221no—
438C2×C4⋊C4—1221no—
439C2×C4⋊C4—1224no—
440C2×C4⋊C4—1224no—
441C2×C4⋊C4—12216no—
442C2×C4⋊C4—1221no—
443C2×C4⋊C4—1221no—
444C2×C4⋊C4—1221no—
445C2×C4⋊C4—1222no—
446C2×C4⋊C4—1224no—
447C2×C4⋊C4—1224no—
448C2×C4⋊C4—12216no—
449C2×C4⋊C4—1228no—
450C2×C4⋊C4—1221no—
451C2×C4⋊C4C2×#692311yescharacteristic, complemented
452C2×C22⋊C4—21no—
453C2×C22⋊C4—1224no—
454C2×C22⋊C4—1224no—
455C2×C22⋊C4—1221no—
456C2×C22⋊C4—1221no—
457C2×C22⋊C4—1221no—
458#103—12216no—
459C22⋊C8—1224no—
460C22⋊C8—1224no—
461C24—611no—
462C24—614no—
463C24—614no—
464C24—612no—
465C24—612no—
466C24—611no—
467C24—1222no—
468C24—1222no—
469C24—1222no—
470C24—1222no—
471C24C22⋊#692311yescharacteristic
472C2×Q8—21no—
473C2×Q8—24no—
474C2×Q8—612no—
475C2×Q8—1222no—
476C2×Q8—1222no—
477C2×Q8—1224no—
478C2×Q8—1228no—
479C2×Q8—1224no—
480C2×Q8—1221no—
481C2×Q8—1224no—
482C2×Q8—2444no—
483C2×Q8—2442no—
484C2×Q8—2444no—
485C2×Q8—2442no—
486C2×Q8C22×#692312yescomplemented
487C22×C4—24no—
488C22×C4—21no—
489C22×C4—21no—
490C22×C4—611no—
491C22×C4—611no—
492C22×C4—611no—
493C22×C4—614no—
494C22×C4—614no—
495C22×C4—611no—
496C22×C4—611no—
497C22×C4—612no—
498C22×C4—612no—
499C22×C4—611no—
500C22×C4—612no—
501C22×C4—612no—
502C22×C4—612no—
503C22×C4—612no—
504C22×C4—612no—
505C22×C4—612no—
506C22×C4—1224no—
507C22×C4—1224no—
508C22×C4—1224no—
509C22×C4—1228no—
510C22×C4—1224no—
511C22×C4—1228no—
512C22×C4—1224no—
513C22×C4—1222no—
514C22×C4—1222no—
515C22×C4—1222no—
516C22×C4—1222no—
517C22×C4—1222no—
518C22×C4—1222no—
519C22×C4—1224no—
520C22×C4—1224no—
521C22×C4—1228no—
522C22×C4—1224no—
523C22×C4—12216no—
524C22×C4—1221no—
525C22×C4—1221no—
526C22×C4—2442no—
527C22×C4—2442no—
528C22×C4—2442no—
529C22×C4—2442no—
530C22×C4—2444no—
531C22×C4—2444no—
532C22×C4—2448no—
533C22×C4—2448no—
534C22×C4—24432no—
535C22×C4C22⋊#692312yes—
536C22×C4C22⋊#692311yescharacteristic
537C22×C4C22×#692312yes—
538C22×C4C22×#692311yescharacteristic
539C2×C8—1224no—
540C2×C8—1224no—
541C2×C8—1224no—
542C2×C8—2444no—
543C2×C8—2444no—
544C4⋊C4—24no—
545C4⋊C4—21no—
546C4⋊C4—618no—
547C4⋊C4—612no—
548C4⋊C4—1222no—
549C4⋊C4—1222no—
550C4⋊C4—1224no—
551C4⋊C4—1224no—
552C4⋊C4—1228no—
553C4⋊C4—1224no—
554C4⋊C4—12216no—
555C4⋊C4—1221no—
556C4⋊C4—1224no—
557C4⋊C4C22×#692312yescomplemented
558C22⋊C4—24no—
559C22⋊C4—1224no—
560C22⋊C4—1224no—
561C22⋊C4—1224no—
562C23—22no—
563C23—22no—
564C23—612no—
565C23—612no—
566C23—612no—
567C23—612no—
568C23—612no—
569C23—612no—
570C23—611no—
571C23—611no—
572C23—614no—
573C23—618no—
574C23—614no—
575C23—614no—
576C23—612no—
577C23—1222no—
578C23—1222no—
579C23—1224no—
580C23—1228no—
581C23—1222no—
582C23—1228no—
583C23—1228no—
584C23—1228no—
585C23—1222no—
586C23—1224no—
587C23—1222no—
588C23—1222no—
589C23#1451984014yescomplemented
590C23C2×C22⋊#692312yes—
591C23C2×C22⋊#692311yescharacteristic
592Q8—24no—
593Q8—42no—
594Q8—1224no—
595Q8—2444no—
596Q8—2444no—
597Q8—2442no—
598C2×C4—22no—
599C2×C4—24no—
600C2×C4—24no—
601C2×C4—22no—
602C2×C4—22no—
603C2×C4—42no—
604C2×C4—42no—
605C2×C4—614no—
606C2×C4—611no—
607C2×C4—611no—
608C2×C4—612no—
609C2×C4—614no—
610C2×C4—612no—
611C2×C4—614no—
612C2×C4—612no—
613C2×C4—612no—
614C2×C4—612no—
615C2×C4—1224no—
616C2×C4—1224no—
617C2×C4—1222no—
618C2×C4—1222no—
619C2×C4—1224no—
620C2×C4—1224no—
621C2×C4—1224no—
622C2×C4—1222no—
623C2×C4—1224no—
624C2×C4—1224no—
625C2×C4—1228no—
626C2×C4—1222no—
627C2×C4—1222no—
628C2×C4—2442no—
629C2×C4—2442no—
630C2×C4—2444no—
631C2×C4—2442no—
632C2×C4—2442no—
633C2×C4—2444no—
634C2×C4—24416no—
635C2×C4—2444no—
636C2×C4—2444no—
637C2×C4—24432no—
638C2×C4—2442no—
639C2×C4—2442no—
640C2×C4C2×C22⋊#692312yes—
641C2×C4C2×C22⋊#692311yescharacteristic
642C2×C4D4×#692314yes—
643C2×C4C23×#692311yescharacteristic
644C8—2444no—
645C22—28no—
646C22—22no—
647C22—22no—
648C22—614no—
649C22—614no—
650C22—614no—
651C22—614no—
652C22—611no—
653C22—611no—
654C22—612no—
655C22—611no—
656C22—611no—
657C22—612no—
658C22—611no—
659C22—611no—
660C22—612no—
661C22—614no—
662C22—1224no—
663C22—1224no—
664C22—1224no—
665C22—12216no—
666C22—1224no—
667C22—1228no—
668C22—1222no—
669C22—1222no—
670C22#1684071012yes—
671C22C2×#1451984012yes—
672C22C2×#1451984014yescomplemented
673C22#1684075312yes—
674C22C22×C22⋊#692311yescharacteristic
675C4—22no—
676C4—42no—
677C4—42no—
678C4—612no—
679C4—612no—
680C4—1222no—
681C4—2448no—
682C4—2442no—
683C4—2442no—
684C4#1684071012yes—
685C4C2×D4×#692312yes—
686C2—24no—
687C2—611no—
688C2—611no—
689C2—611no—
690C2—614no—
691C2—611no—
692C2—1224no—
693C2#2146180414yesdirect product factor
694C2C2×#1684071011yescharacteristic
695C2C22×#1451984011yescharacteristic
696C2C2×#1684075311yescharacteristic
subgroupG/H
centerC23C2×C22⋊#6923
commutatorC2×C4×C61C23×C4
FrattiniC2×C4C23×#6923
FittingC2×C22⋊Q8×C61C4
socleC23×C61C2×C22⋊C4
prime radicalC24×D61D4
cosocleC2×C4×D61C24
hypercenterC2×C22⋊Q8#6923
hypocenterC61C2×#1872
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C23 ◁ C23×C4 ◁ C2×C22⋊Q8

Complements

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

NH ≅ G/Ntype
2. C22×#14519840C2semidirect
4. #21461804C2direct (N × H)
5. C2×#16840635C2semidirect
15. C2×#14519840C22semidirect
20. #16840635C22semidirect
23. C2×#14519757C4semidirect
24. C2×#14519756C4semidirect
27. C2×#14519753C4semidirect
30. C22⋊Q8×D61C4semidirect
35. C2×C22⋊Q8×C61C4semidirect
59. C22×Dic122C2×C4semidirect
64. C2×Q8×D61C2×C4semidirect
80. #14519757C2×C4semidirect
82. #14519756C2×C4semidirect
88. #14519753C2×C4semidirect
90. C2×C4⋊Dic61C2×C4semidirect
98. C4⋊C4×D61C2×C4semidirect
105. C22×Q8×C61C2×C4semidirect
108. C22⋊Q8×C61C2×C4semidirect
110. C2×C4⋊C4×C61C2×C4semidirect
133. C2×Q8×C61C22×C4semidirect
189. C2×Dic122C22×C4semidirect
201. C4⋊C4×C61C22×C4semidirect
208. C4⋊Dic61C22×C4semidirect
215. C23×C61#103semidirect
230. C22×D61#103semidirect
231. C22×D61#103semidirect
302. C22×C61C2×#103semidirect
315. C2×D61C2×#103semidirect
345. C2×C61#1872semidirect
350. D61#1872semidirect
368. C2×C22⋊Q8#6923semidirect
384. C61C2×#1872semidirect
394. C22×Q8C2×#6923semidirect
430. C22⋊Q8C2×#6923semidirect
451. C2×C4⋊C4C2×#6923semidirect
486. C2×Q8C22×#6923semidirect
557. C4⋊C4C22×#6923semidirect
589. C23#14519840semidirect
672. C22C2×#14519840semidirect
693. C2#21461804direct (N × H)

Maximal subgroups

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

subgroupindex
C23×C4⋊#69232
C22×#145198402
C2×D61⋊(C22⋊C8)2
#214618042
C2×#168406352
C2×C22⋊Q8×D612
C2×#187261