Finite Group Databasebeta

← C22⋊C4×C4⋊#6923 #30608709

Subgroups — C22⋊C4×C4⋊#6923 #30608709

Order 15616.

2574 conjugacy classes of subgroups.

The subgroup lattice has 692 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C23×C4⋊#6923C211yesmaximal, characteristic
2C2×#16840704C211yesmaximal, characteristic
3C2×C4×C4⋊#6923C212yesmaximal, complemented
4C2×C22⋊C4×#6923C212yesmaximal
5#21460999C214yesmaximal, complemented
6#21460997C212yesmaximal, complemented
7#21460992C212yesmaximal
8C4×C22⋊C4×D61C211yesmaximal, characteristic
9C24×#6923C2212yes—
10C22×C4⋊#6923—28no—
11C22×C4⋊#6923C418yescomplemented
12C22×C4⋊#6923C2211yescharacteristic
13C22×C4⋊#6923C2212yes—
14C22×C4⋊#6923C2212yes—
15C22×C4⋊#6923C2211yescharacteristic
16C22×C22⋊#6923C2212yes—
17C22×C4×#6923C2214yes—
18#16840704C418yescomplemented
19C4×C4⋊#6923—28no—
20C22⋊C4×#6923—28no—
21C2×(C2×#6923)⋊C4C2214yes—
22C2×(C2×#6923)⋊C4C2214yes—
23C2×(C2×#6923)⋊C4C2214yes—
24C2×(C2×#6923)⋊C4C2212yes—
25C23×C4×D61C2211yescharacteristic
26C2×C22⋊C4×D61C2211yescharacteristic
27C2×C22⋊C4×D61C2211yescharacteristic
28C2×C42×D61C2212yes—
29C22⋊C4×Dic61C411yescharacteristic, complemented
30C22⋊C4×Dic61C411yescharacteristic, complemented
31C4×#11758198C412yescomplemented
32C4×C22⋊Dic61C411yescharacteristic, complemented
33#16839609C412yescomplemented
34#95×D61C2212yes—
35C4×C22⋊C4×C61C411yescharacteristic, complemented
36C23×#6923—24no—
37C23×#6923—24no—
38C23×#6923—28no—
39C23×#6923—44no—
40C23×#6923C2×C418yes—
41C23×#6923C2314yes—
42C23×#6923C2312yes—
43C23×#6923C2312yes—
44C2×C4⋊#6923—28no—
45C2×C4⋊#6923—24no—
46C2×C4⋊#6923—24no—
47C2×C4⋊#6923—24no—
48C2×C4⋊#6923—232no—
49C2×C4⋊#6923C2×C418yes—
50C2×C4⋊#6923C2×C414yes—
51C2×C4⋊#6923C2×C414yes—
52C2×C4⋊#6923C2×C418yescomplemented
53C2×C4⋊#6923D418yes—
54C2×C22⋊#6923—24no—
55C2×C22⋊#6923—24no—
56C2×C22⋊#6923C2×C418yes—
57C2×C4×#6923—28no—
58C2×C4×#6923—28no—
59C2×C4×#6923—44no—
60(C2×#6923)⋊C4—28no—
61(C2×#6923)⋊C4—28no—
62(C2×#6923)⋊C4—44no—
63(C2×#6923)⋊C4C2×C418yescomplemented
64C24×D61C2311yescharacteristic
65C23×Dic61C2×C411yescharacteristic
66C22×C4×D61—24no—
67C22×C4×D61—24no—
68C22×C4×D61C2×C411yescharacteristic
69C22×C4×D61C2×C411yescharacteristic
70C22×C4×D61C2×C414yes—
71C22×C4×D61C2×C414yes—
72C22×C4×D61C2312yes—
73C22×C4×D61C2311yescharacteristic
74C22×C4×D61C2312yes—
75C22×C4×D61C2311yescharacteristic
76C2×C22⋊Dic61C2×C411yescharacteristic
77C2×C22⋊Dic61C2×C411yescharacteristic
78C2×#11758198C2×C412yes—
79C2×#11758198C2×C412yes—
80C22⋊C4×D61—22no—
81C22⋊C4×D61—22no—
82C22⋊C4×D61D414yes—
83C22⋊C4×D61Q814yes—
84C2×C4×Dic61C2×C412yescomplemented
85C2×C4×Dic61C2×C412yescomplemented
86C2×C4×Dic61C2×C412yescomplemented
87C42×D61—24no—
88C42×D61—24no—
89#14519684C2×C412yescomplemented
90#14519684C2×C412yescomplemented
91#14519684C2×C412yescomplemented
92C23×C4×C61C2×C411yescharacteristic
93C2×C22⋊C4×C61C2×C411yescharacteristic
94C2×C22⋊C4×C61C2×C411yescharacteristic
95C2×C42×C61C2×C412yescomplemented
96#95×C61C2×C412yescomplemented
97C24×C61C22×C411yescharacteristic
98C23×D61—22no—
99C23×D61—22no—
100C23×D61—22no—
101C23×D61—22no—
102C23×D61C22×C411yescharacteristic
103C23×D61C22×C412yes—
104C23×D61C22×C412yes—
105C23×D61C2×D412yes—
106C23×D61C2×Q812yes—
107C23×D61#4112yes—
108C23×D61#4112yes—
109C23×D61C2411yescharacteristic
110C22×#6923—22no—
111C22×#6923—22no—
112C22×#6923—24no—
113C22×#6923—216no—
114C22×#6923—22no—
115C22×#6923—24no—
116C22×#6923—24no—
117C22×#6923—24no—
118C22×#6923—24no—
119C22×#6923—24no—
120C22×#6923—22no—
121C22×#6923—24no—
122C22×#6923—24no—
123C22×#6923—24no—
124C22×#6923—216no—
125C22×#6923—48no—
126C22×#6923—416no—
127C22×#6923—416no—
128C22×#6923C22×C418yes—
129C22×#6923C22×C414yes—
130C22×#6923C22×C414yes—
131C22×#6923C2×D418yes—
132C22×C4×C61—24no—
133C22×C4×C61C4214yescomplemented
134C22×C4×C61C22×C412yes—
135C22×C4×C61C22×C411yescharacteristic
136C22×C4×C61C22×C412yes—
137C22×C4×C61C22×C411yescharacteristic
138C22×Dic61—24no—
139C22×Dic61C4214yescomplemented
140C22×Dic61C22×C412yes—
141C22×Dic61C22×C411yescharacteristic
142C22×Dic61C22×C412yes—
143C22×Dic61C22×C411yescharacteristic
144C2×C4×D61—22no—
145C2×C4×D61—22no—
146C2×C4×D61—22no—
147C2×C4×D61—22no—
148C2×C4×D61—22no—
149C2×C4×D61—22no—
150C2×C4×D61—24no—
151C2×C4×D61—24no—
152C2×C4×D61—28no—
153C2×C4×D61—28no—
154C2×C4×D61—216no—
155C2×C4×D61—22no—
156C2×C4×D61—22no—
157C2×C4×D61—22no—
158C2×C4×D61—22no—
159C2×C4×D61—22no—
160C2×C4×D61—22no—
161C2×C4×D61C4214yescomplemented
162C2×C4×D61C4214yescomplemented
163C2×C4×D61C22×C412yes—
164C2×C4×D61C22×C412yes—
165C2×C4×D61C22×C412yes—
166C2×C4×D61C22×C412yes—
167C2×C4×D61C2×D414yes—
168C2×C4×D61C2×D414yes—
169C2×C4×D61C2×Q814yes—
170C2×C4×D61#4114yes—
171C22⋊#6923—216no—
172C4⋊#6923—216no—
173C4⋊#6923—28no—
174C4⋊#6923—216no—
175C4⋊#6923C22⋊C4116yesdirect product factor
176C4×#6923—416no—
177C22⋊C4×C61—22no—
178C22⋊C4×C61C4⋊C414yescomplemented
179C42×C61—24no—
180C22⋊Dic61—22no—
181C22⋊Dic61C4⋊C414yescomplemented
182#11758198—24no—
183#11758198C4⋊C418yescomplemented
184C4×Dic61—24no—
185C4×Dic61—24no—
186C4×Dic61—24no—
187C23×C61—22no—
188C23×C61—22no—
189C23×C61C2×C4212yes—
190C23×C61C2×C4⋊C412yes—
191C23×C61#11712yes—
192C23×C61C23×C411yescharacteristic
193C22×D61—22no—
194C22×D61—22no—
195C22×D61—22no—
196C22×D61—22no—
197C22×D61—24no—
198C22×D61—22no—
199C22×D61—22no—
200C22×D61—24no—
201C22×D61—24no—
202C22×D61—24no—
203C22×D61—24no—
204C22×D61—24no—
205C22×D61—24no—
206C22×D61—24no—
207C22×D61—24no—
208C22×D61—24no—
209C22×D61C2×C4212yes—
210C22×D61C2×C4⋊C412yes—
211C22×D61#11712yes—
212C22×D61C4×D414yes—
213C22×D61C4×D414yes—
214C22×D61C4×Q814yes—
215C22×D61C4×Q814yes—
216C22×D61C23×C411yescharacteristic
217C22×D61C23×C411yescharacteristic
218C22×D61C22×D412yes—
219C22×D61C22×D411yescharacteristic
220C22×D61C22×Q811yescharacteristic
221C22×D61C2×#4112yes—
222C22×D61C2×#4111yescharacteristic
223C22×D61C2×#4111yescharacteristic
224C22×D61H(5,𝔽2)12yes—
225C22×D612−1+412yes—
226C2×#6923—24no—
227C2×#6923—24no—
228C2×#6923—28no—
229C2×#6923—28no—
230C2×#6923—24no—
231C2×#6923—28no—
232C2×#6923—28no—
233C2×#6923—24no—
234C2×#6923—24no—
235C2×#6923—28no—
236C2×#6923—432no—
237C2×#6923—44no—
238C2×#6923—44no—
239C2×#6923—44no—
240C2×#6923—44no—
241C2×#6923—44no—
242C2×#6923—44no—
243C2×#6923C2×C22⋊C418yes—
244C2×C4×C61—22no—
245C2×C4×C61—22no—
246C2×C4×C61—22no—
247C2×C4×C61—28no—
248C2×C4×C61—22no—
249C2×C4×C61—22no—
250C2×C4×C61—22no—
251C2×C4×C61C2×C4212yes—
252C2×C4×C61C2×C4212yes—
253C2×C4×C61C2×C4⋊C414yescomplemented
254C2×C4×C61C4×D414yes—
255C2×Dic61—22no—
256C2×Dic61—22no—
257C2×Dic61—22no—
258C2×Dic61—28no—
259C2×Dic61—22no—
260C2×Dic61—22no—
261C2×Dic61—22no—
262C2×Dic61C2×C4212yes—
263C2×Dic61C2×C4212yes—
264C2×Dic61C2×C4⋊C414yescomplemented
265C2×Dic61C4×D414yes—
266C4×D61—22no—
267C4×D61—22no—
268C4×D61—24no—
269C4×D61—24no—
270C4×D61—24no—
271C4×D61—24no—
272C4×D61—24no—
273C4×D61—28no—
274C4×D61—28no—
275C4×D61—42no—
276C4×D61—42no—
277C4×D61—42no—
278C4×D61—42no—
279C4×D61C2×C22⋊C414yes—
280C4×D61#11714yes—
281C4×D61C4×D418yes—
282C22⋊C4×C4⋊C4—611nomaximal, Sylow
283C22×C61—24no—
284C22×C61—24no—
285C22×C61—22no—
286C22×C61—22no—
287C22×C61C4×C4⋊C414yescomplemented
288C22×C61C22×C4211yescharacteristic
289C22×C61C22×C4⋊C411yescharacteristic
290C22×C61C2×#11711yescharacteristic
291C22×C61C2×C4×D412yes—
292C22×C61#52012yes—
293C2×D61—24no—
294C2×D61—24no—
295C2×D61—22no—
296C2×D61—22no—
297C2×D61—24no—
298C2×D61—24no—
299C2×D61—24no—
300C2×D61—24no—
301C2×D61—28no—
302C2×D61—28no—
303C2×D61C4×C4⋊C414yescomplemented
304C2×D61C22×C22⋊C411yescharacteristic
305C2×D61C2×#11711yescharacteristic
306C2×D61C2×C4×D411yescharacteristic
307C2×D61C2×C4×D412yes—
308C2×D61C2×C4×D411yescharacteristic
309C2×D61C2×C4×Q811yescharacteristic
310C2×D61C2×C4×Q811yescharacteristic
311C2×D61#51811yescharacteristic
312C2×D61#51911yescharacteristic
313C2×D61#52012yes—
314C2×D61D4212yes—
315C2×D61#54612yes—
316C2×D61#54712yes—
317C2×D61#54812yes—
318C2×D61D4×Q812yes—
319C2×D61#55212yes—
320C2×D61#55312yes—
321C2×D61#55412yes—
322#6923—28no—
323#6923—44no—
324#6923—48no—
325C4×C61—24no—
326C4×C61—22no—
327C4×C61—42no—
328C4×C61C4×C22⋊C414yescomplemented
329Dic61—24no—
330Dic61—22no—
331Dic61—42no—
332Dic61C4×C22⋊C414yescomplemented
333C23×C4⋊C4—611no—
334C2×#380—611no—
335C2×C4×C4⋊C4—612no—
336C2×C4×C22⋊C4—611no—
337C2×C4×C22⋊C4—612no—
338#1436—614no—
339C4⋊#95—612no—
340C22⋊#95—612no—
341C2×C61—24no—
342C2×C61C2×C4×C22⋊C411yescharacteristic
343C2×C61C2×C4×C4⋊C411yescharacteristic
344C2×C61#227411yescharacteristic
345C2×C61D4×C4⋊C412yes—
346C2×C61#235212yes—
347D61—24no—
348D61D4×C22⋊C411yescharacteristic
349D61Q8×C22⋊C411yescharacteristic
350D61#234411yescharacteristic
351D61#234511yescharacteristic
352D61#236012yes—
353D61#236112yes—
354C24×C4—611no—
355C24×C4—612no—
356C22×C4⋊C4—611no—
357C22×C4⋊C4—618no—
358C22×C4⋊C4—611no—
359C22×C4⋊C4—612no—
360C22×C4⋊C4—612no—
361C22×C4⋊C4—1228no—
362C22×C22⋊C4—611no—
363C22×C22⋊C4—612no—
364C22×C22⋊C4—611no—
365C22×C42—612no—
366C22×C42—614no—
367#380—618no—
368C4×C4⋊C4—1228no—
369C4×C22⋊C4—611no—
370C4×C22⋊C4—611no—
371C4×C22⋊C4—611no—
372C4×C22⋊C4—612no—
373C4×C22⋊C4—612no—
374C4×C22⋊C4—1228no—
375C4×C22⋊C4#692311yescharacteristic, complemented
376C2×#95—612no—
377C2×#95—612no—
378C2×#95—614no—
379C2×#95—614no—
380C2×#95—614no—
381C61C22⋊C4×C4⋊C411yescharacteristic, complemented, Sylow
382C25—611no—
383C23×C4—611no—
384C23×C4—612no—
385C23×C4—611no—
386C23×C4—614no—
387C23×C4—614no—
388C23×C4—612no—
389C23×C4—611no—
390C23×C4—611no—
391C23×C4—611no—
392C23×C4—614no—
393C23×C4—612no—
394C23×C4—618no—
395C23×C4—612no—
396C23×C4—1224no—
397C23×C4—1224no—
398C23×C4—1228no—
399C23×C4—1224no—
400C23×C4—1224no—
401C23×C4—2444no—
402C23×C4C2×#692311yescharacteristic
403C2×C4⋊C4—614no—
404C2×C4⋊C4—618no—
405C2×C4⋊C4—614no—
406C2×C4⋊C4—618no—
407C2×C4⋊C4—618no—
408C2×C4⋊C4—12232no—
409C2×C4⋊C4—1224no—
410C2×C4⋊C4—1228no—
411C2×C4⋊C4—1224no—
412C2×C4⋊C4—1224no—
413C2×C22⋊C4—611no—
414C2×C22⋊C4—612no—
415C2×C22⋊C4—614no—
416C2×C22⋊C4—614no—
417C2×C22⋊C4—618no—
418C2×C22⋊C4—611no—
419C2×C22⋊C4—612no—
420C2×C22⋊C4—1222no—
421C2×C22⋊C4—1222no—
422C2×C22⋊C4—1224no—
423C2×C22⋊C4—1224no—
424C2×C22⋊C4C2×#692311yescharacteristic
425C2×C22⋊C4C2×#692311yescharacteristic
426C2×C42—612no—
427C2×C42—612no—
428C2×C42—612no—
429C2×C42—1224no—
430C2×C42—1224no—
431C2×C42—1228no—
432C2×C42—1228no—
433C2×C42—2444no—
434C2×C42C2×#692312yescomplemented
435#95—618no—
436#95—612no—
437#95—612no—
438#95—612no—
439#95—1228no—
440#95—1228no—
441#95—2444no—
442#95C2×#692312yescomplemented
443C24—611no—
444C24—612no—
445C24—612no—
446C24—612no—
447C24—612no—
448C24—612no—
449C24—612no—
450C24—611no—
451C24—1222no—
452C24—1222no—
453C24—1222no—
454C24—1222no—
455C24C22×#692311yescharacteristic
456C22×C4—24no—
457C22×C4—611no—
458C22×C4—612no—
459C22×C4—612no—
460C22×C4—614no—
461C22×C4—614no—
462C22×C4—618no—
463C22×C4—614no—
464C22×C4—614no—
465C22×C4—611no—
466C22×C4—612no—
467C22×C4—612no—
468C22×C4—612no—
469C22×C4—614no—
470C22×C4—614no—
471C22×C4—614no—
472C22×C4—614no—
473C22×C4—618no—
474C22×C4—614no—
475C22×C4—612no—
476C22×C4—1228no—
477C22×C4—1224no—
478C22×C4—1228no—
479C22×C4—12216no—
480C22×C4—1222no—
481C22×C4—1222no—
482C22×C4—1222no—
483C22×C4—1222no—
484C22×C4—1222no—
485C22×C4—1222no—
486C22×C4—1222no—
487C22×C4—1222no—
488C22×C4—1222no—
489C22×C4—1222no—
490C22×C4—1222no—
491C22×C4—1222no—
492C22×C4—1224no—
493C22×C4—12216no—
494C22×C4—1222no—
495C22×C4—1224no—
496C22×C4—1222no—
497C22×C4—1224no—
498C22×C4—1222no—
499C22×C4—1224no—
500C22×C4—1224no—
501C22×C4—1224no—
502C22×C4—1224no—
503C22×C4—1224no—
504C22×C4—1224no—
505C22×C4—1224no—
506C22×C4—12216no—
507C22×C4—1222no—
508C22×C4—1224no—
509C22×C4—2448no—
510C22×C4—24416no—
511C22×C4—24416no—
512C22×C4C4×#692314yescomplemented
513C22×C4C22×#692312yes—
514C22×C4C22×#692311yescharacteristic
515C22×C4C22×#692312yes—
516C22×C4C22×#692311yescharacteristic
517C4⋊C4—6116no—
518C4⋊C4—1228no—
519C4⋊C4—12216no—
520C4⋊C4—12216no—
521C22⋊C4—22no—
522C22⋊C4—614no—
523C22⋊C4—618no—
524C22⋊C4—1224no—
525C22⋊C4—12216no—
526C22⋊C4—1222no—
527C22⋊C4C4⋊#692314yesdirect product factor
528C42—24no—
529C42—1224no—
530C42—1224no—
531C42—1224no—
532C42—24416no—
533C23—22no—
534C23—22no—
535C23—611no—
536C23—611no—
537C23—611no—
538C23—611no—
539C23—611no—
540C23—611no—
541C23—612no—
542C23—612no—
543C23—612no—
544C23—612no—
545C23—612no—
546C23—612no—
547C23—612no—
548C23—614no—
549C23—614no—
550C23—614no—
551C23—614no—
552C23—1222no—
553C23—1224no—
554C23—1222no—
555C23—1224no—
556C23—1224no—
557C23—1222no—
558C23—1224no—
559C23—1224no—
560C23—1224no—
561C23—1224no—
562C23—1224no—
563C23—1224no—
564C23—1224no—
565C23—1222no—
566C23—1222no—
567C23—1222no—
568C23C2×C4×#692312yes—
569C23C2×C4⋊#692312yes—
570C23#1451985612yes—
571C23C23×#692311yescharacteristic
572C2×C4—22no—
573C2×C4—22no—
574C2×C4—22no—
575C2×C4—28no—
576C2×C4—22no—
577C2×C4—22no—
578C2×C4—22no—
579C2×C4—612no—
580C2×C4—614no—
581C2×C4—614no—
582C2×C4—614no—
583C2×C4—618no—
584C2×C4—618no—
585C2×C4—612no—
586C2×C4—614no—
587C2×C4—1228no—
588C2×C4—1224no—
589C2×C4—1222no—
590C2×C4—1224no—
591C2×C4—1224no—
592C2×C4—1224no—
593C2×C4—1224no—
594C2×C4—1222no—
595C2×C4—1228no—
596C2×C4—1228no—
597C2×C4—1224no—
598C2×C4—1228no—
599C2×C4—1224no—
600C2×C4—1222no—
601C2×C4—1222no—
602C2×C4—1222no—
603C2×C4—1228no—
604C2×C4—1228no—
605C2×C4—1224no—
606C2×C4—1228no—
607C2×C4—1228no—
608C2×C4—1224no—
609C2×C4—1224no—
610C2×C4—1222no—
611C2×C4—1222no—
612C2×C4—1222no—
613C2×C4—2442no—
614C2×C4—2442no—
615C2×C4—2442no—
616C2×C4—2442no—
617C2×C4—24432no—
618C2×C4—2444no—
619C2×C4—2444no—
620C2×C4—2444no—
621C2×C4—2444no—
622C2×C4—2444no—
623C2×C4—2444no—
624C2×C4C2×C4×#692312yes—
625C2×C4C2×C4×#692312yes—
626C2×C4C2×C4⋊#692314yescomplemented
627C2×C4D4×#692314yes—
628C22—24no—
629C22—24no—
630C22—22no—
631C22—22no—
632C22—612no—
633C22—612no—
634C22—612no—
635C22—612no—
636C22—612no—
637C22—612no—
638C22—612no—
639C22—612no—
640C22—611no—
641C22—612no—
642C22—611no—
643C22—611no—
644C22—611no—
645C22—611no—
646C22—611no—
647C22—611no—
648C22—612no—
649C22—611no—
650C22—614no—
651C22—1224no—
652C22—1228no—
653C22—1224no—
654C22—1224no—
655C22—1224no—
656C22—1228no—
657C22—1224no—
658C22—1224no—
659C22—1222no—
660C22—1222no—
661C22C4×C4⋊#692314yescomplemented
662C22C22×C4×#692311yescharacteristic
663C22C22×C4⋊#692311yescharacteristic
664C22C2×#1451985611yescharacteristic
665C22C2×D4×#692312yes—
666C22#1684083112yes—
667C4—24no—
668C4—22no—
669C4—42no—
670C4—614no—
671C4—1228no—
672C4—1224no—
673C4—1222no—
674C4—2444no—
675C4—2448no—
676C4—2442no—
677C4C22⋊C4×#692314yescomplemented
678C2—24no—
679C2—611no—
680C2—612no—
681C2—611no—
682C2—611no—
683C2—611no—
684C2—612no—
685C2—1224no—
686C2C2×C22⋊C4×#692311yescharacteristic
687C2C2×C4×C4⋊#692311yescharacteristic
688C2#2146225611yescharacteristic
689C2D4×C4⋊#692312yes—
690C2#2146233512yes—
subgroupG/H
center, FrattiniC23C23×#6923
commutatorC22×C61C22×C42
FittingC4×C22⋊C4×C61C4
socleC23×C61C23×C4
prime radicalC24×D61C23
cosocleC23×D61C24
hypercenterC4×C22⋊C4#6923
hypocenterC61C22⋊C4×C4⋊C4
LCSG ▷ C22×C61 ▷ C61
UCSC1 ◁ C23 ◁ C4×C22⋊C4

Complements

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

NH ≅ G/Ntype
3. C2×C4×C4⋊#6923C2semidirect
5. #21460999C2semidirect
6. #21460997C2semidirect
11. C22×C4⋊#6923C4semidirect
18. #16840704C4semidirect
29. C22⋊C4×Dic61C4semidirect
30. C22⋊C4×Dic61C4semidirect
31. C4×#11758198C4semidirect
32. C4×C22⋊Dic61C4semidirect
33. #16839609C4semidirect
35. C4×C22⋊C4×C61C4semidirect
52. C2×C4⋊#6923C2×C4semidirect
63. (C2×#6923)⋊C4C2×C4semidirect
84. C2×C4×Dic61C2×C4semidirect
85. C2×C4×Dic61C2×C4semidirect
86. C2×C4×Dic61C2×C4semidirect
89. #14519684C2×C4semidirect
90. #14519684C2×C4semidirect
91. #14519684C2×C4semidirect
95. C2×C42×C61C2×C4semidirect
96. #95×C61C2×C4semidirect
133. C22×C4×C61C42semidirect
139. C22×Dic61C42semidirect
161. C2×C4×D61C42semidirect
162. C2×C4×D61C42semidirect
175. C4⋊#6923C22⋊C4direct (N × H)
178. C22⋊C4×C61C4⋊C4semidirect
181. C22⋊Dic61C4⋊C4semidirect
183. #11758198C4⋊C4semidirect
253. C2×C4×C61C2×C4⋊C4semidirect
264. C2×Dic61C2×C4⋊C4semidirect
287. C22×C61C4×C4⋊C4semidirect
303. C2×D61C4×C4⋊C4semidirect
328. C4×C61C4×C22⋊C4semidirect
332. Dic61C4×C22⋊C4semidirect
375. C4×C22⋊C4#6923semidirect
381. C61C22⋊C4×C4⋊C4semidirect
434. C2×C42C2×#6923semidirect
442. #95C2×#6923semidirect
512. C22×C4C4×#6923semidirect
527. C22⋊C4C4⋊#6923direct (N × H)
626. C2×C4C2×C4⋊#6923semidirect
661. C22C4×C4⋊#6923semidirect
677. C4C22⋊C4×#6923semidirect

Maximal subgroups

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

subgroupindex
C23×C4⋊#69232
C2×#168407042
C2×C4×C4⋊#69232
C2×C22⋊C4×#69232
#214609992
#214609972
#214609922
C4×C22⋊C4×D612
C22⋊C4×C4⋊C461