Finite Group Databasebeta

← C22⋊C4×C4⋊#261 #16791615

Subgroups — C22⋊C4×C4⋊#261 #16791615

Order 3328.

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⋊#261C211yesmaximal, characteristic
2C2×#11719136C211yesmaximal, characteristic
3C2×C4×C4⋊#261C212yesmaximal, complemented
4C2×C22⋊C4×#261C212yesmaximal
5#13130016C214yesmaximal, complemented
6#13130014C212yesmaximal, complemented
7#13130009C212yesmaximal
8C4×C22⋊C4×D13C211yesmaximal, characteristic
9C24×#261C2212yes—
10C23×C4×D13C2211yescharacteristic
11C22×C22⋊#261C2212yes—
12C22×C4⋊#261—28no—
13C22×C4⋊#261C418yescomplemented
14C22×C4⋊#261C2211yescharacteristic
15C22×C4⋊#261C2212yes—
16C22×C4⋊#261C2212yes—
17C22×C4⋊#261C2211yescharacteristic
18C22×C4×#261C2214yes—
19C2×C22⋊C4×D13C2211yescharacteristic
20C2×C22⋊C4×D13C2211yescharacteristic
21C2×C42×D13C2212yes—
22#11719136C418yescomplemented
23C2×(C2×#261)⋊C4C2214yes—
24C2×(C2×#261)⋊C4C2214yes—
25C2×(C2×#261)⋊C4C2214yes—
26C2×(C2×#261)⋊C4C2212yes—
27C22⋊C4×#261—28no—
28C4×C4⋊#261—28no—
29C4×C13×C22⋊C4C411yescharacteristic, complemented
30C4×C22⋊Dic13C411yescharacteristic, complemented
31C22⋊C4×Dic13C411yescharacteristic, complemented
32C22⋊C4×Dic13C411yescharacteristic, complemented
33C4×#6103C412yescomplemented
34#11718327C412yescomplemented
35D13×#95C2212yes—
36C24×D13C2311yescharacteristic
37C23×#261—24no—
38C23×#261—24no—
39C23×#261—28no—
40C23×#261—44no—
41C23×#261C2×C418yes—
42C23×#261C2314yes—
43C23×#261C2312yes—
44C23×#261C2312yes—
45C23×C4×C13C2×C411yescharacteristic
46C23×Dic13C2×C411yescharacteristic
47C22×C4×D13—24no—
48C22×C4×D13—24no—
49C22×C4×D13C2×C411yescharacteristic
50C22×C4×D13C2×C411yescharacteristic
51C22×C4×D13C2×C414yes—
52C22×C4×D13C2×C414yes—
53C22×C4×D13C2312yes—
54C22×C4×D13C2311yescharacteristic
55C22×C4×D13C2312yes—
56C22×C4×D13C2311yescharacteristic
57C2×C22⋊#261—24no—
58C2×C22⋊#261—24no—
59C2×C22⋊#261C2×C418yes—
60C2×C4⋊#261—28no—
61C2×C4⋊#261—24no—
62C2×C4⋊#261—24no—
63C2×C4⋊#261—24no—
64C2×C4⋊#261—232no—
65C2×C4⋊#261C2×C418yes—
66C2×C4⋊#261C2×C414yes—
67C2×C4⋊#261C2×C414yes—
68C2×C4⋊#261C2×C418yescomplemented
69C2×C4⋊#261D418yes—
70C2×C4×#261—28no—
71C2×C4×#261—28no—
72C2×C4×#261—44no—
73C2×C13×C22⋊C4C2×C411yescharacteristic
74C2×C13×C22⋊C4C2×C411yescharacteristic
75C2×C42×C13C2×C412yescomplemented
76C2×C22⋊Dic13C2×C411yescharacteristic
77C2×C22⋊Dic13C2×C411yescharacteristic
78C2×#6103C2×C412yes—
79C2×#6103C2×C412yes—
80C2×C4×Dic13C2×C412yescomplemented
81C2×C4×Dic13C2×C412yescomplemented
82C2×C4×Dic13C2×C412yescomplemented
83C22⋊C4×D13—22no—
84C22⋊C4×D13—22no—
85C22⋊C4×D13D414yes—
86C22⋊C4×D13Q814yes—
87C42×D13—24no—
88C42×D13—24no—
89(C2×#261)⋊C4—28no—
90(C2×#261)⋊C4—28no—
91(C2×#261)⋊C4—44no—
92(C2×#261)⋊C4C2×C418yescomplemented
93C13×#95C2×C412yescomplemented
94#88071C2×C412yescomplemented
95#88071C2×C412yescomplemented
96#88071C2×C412yescomplemented
97C22⋊C4×C4⋊C4—131nomaximal, Sylow
98C24×C13C22×C411yescharacteristic
99C23×D13—22no—
100C23×D13—22no—
101C23×D13—22no—
102C23×D13—22no—
103C23×D13C22×C411yescharacteristic
104C23×D13C22×C412yes—
105C23×D13C22×C412yes—
106C23×D13C2×D412yes—
107C23×D13C2×Q812yes—
108C23×D13#4112yes—
109C23×D13#4112yes—
110C23×D13C2411yescharacteristic
111C22×#261—22no—
112C22×#261—22no—
113C22×#261—24no—
114C22×#261—216no—
115C22×#261—22no—
116C22×#261—24no—
117C22×#261—24no—
118C22×#261—24no—
119C22×#261—24no—
120C22×#261—24no—
121C22×#261—22no—
122C22×#261—24no—
123C22×#261—24no—
124C22×#261—24no—
125C22×#261—216no—
126C22×#261—48no—
127C22×#261—416no—
128C22×#261—416no—
129C22×#261C22×C418yes—
130C22×#261C22×C414yes—
131C22×#261C22×C414yes—
132C22×#261C2×D418yes—
133C22×C4×C13—24no—
134C22×C4×C13C4214yescomplemented
135C22×C4×C13C22×C412yes—
136C22×C4×C13C22×C411yescharacteristic
137C22×C4×C13C22×C412yes—
138C22×C4×C13C22×C411yescharacteristic
139C22×Dic13—24no—
140C22×Dic13C4214yescomplemented
141C22×Dic13C22×C412yes—
142C22×Dic13C22×C411yescharacteristic
143C22×Dic13C22×C412yes—
144C22×Dic13C22×C411yescharacteristic
145C2×C4×D13—22no—
146C2×C4×D13—22no—
147C2×C4×D13—22no—
148C2×C4×D13—22no—
149C2×C4×D13—22no—
150C2×C4×D13—22no—
151C2×C4×D13—24no—
152C2×C4×D13—24no—
153C2×C4×D13—28no—
154C2×C4×D13—28no—
155C2×C4×D13—216no—
156C2×C4×D13—22no—
157C2×C4×D13—22no—
158C2×C4×D13—22no—
159C2×C4×D13—22no—
160C2×C4×D13—22no—
161C2×C4×D13—22no—
162C2×C4×D13C4214yescomplemented
163C2×C4×D13C4214yescomplemented
164C2×C4×D13C22×C412yes—
165C2×C4×D13C22×C412yes—
166C2×C4×D13C22×C412yes—
167C2×C4×D13C22×C412yes—
168C2×C4×D13C2×D414yes—
169C2×C4×D13C2×D414yes—
170C2×C4×D13C2×Q814yes—
171C2×C4×D13#4114yes—
172C22⋊#261—216no—
173C4⋊#261—216no—
174C4⋊#261—28no—
175C4⋊#261—216no—
176C4⋊#261C22⋊C4116yesdirect product factor
177C4×#261—416no—
178C13×C22⋊C4—22no—
179C13×C22⋊C4C4⋊C414yescomplemented
180C42×C13—24no—
181C22⋊Dic13—22no—
182C22⋊Dic13C4⋊C414yescomplemented
183#6103—24no—
184#6103C4⋊C418yescomplemented
185C4×Dic13—24no—
186C4×Dic13—24no—
187C4×Dic13—24no—
188C23×C4⋊C4—131no—
189C2×#380—131no—
190C2×C4×C4⋊C4—132no—
191C2×C4×C22⋊C4—131no—
192C2×C4×C22⋊C4—132no—
193#1436—134no—
194C4⋊#95—132no—
195C22⋊#95—132no—
196C23×C13—22no—
197C23×C13—22no—
198C23×C13C2×C4212yes—
199C23×C13C2×C4⋊C412yes—
200C23×C13#11712yes—
201C23×C13C23×C411yescharacteristic
202C22×D13—22no—
203C22×D13—22no—
204C22×D13—22no—
205C22×D13—22no—
206C22×D13—24no—
207C22×D13—22no—
208C22×D13—22no—
209C22×D13—24no—
210C22×D13—24no—
211C22×D13—24no—
212C22×D13—24no—
213C22×D13—24no—
214C22×D13—24no—
215C22×D13—24no—
216C22×D13—24no—
217C22×D13—24no—
218C22×D13C2×C4212yes—
219C22×D13C2×C4⋊C412yes—
220C22×D13#11712yes—
221C22×D13C4×D414yes—
222C22×D13C4×D414yes—
223C22×D13C4×Q814yes—
224C22×D13C4×Q814yes—
225C22×D13C23×C411yescharacteristic
226C22×D13C23×C411yescharacteristic
227C22×D13C22×D412yes—
228C22×D13C22×D411yescharacteristic
229C22×D13C22×Q811yescharacteristic
230C22×D13C2×#4112yes—
231C22×D13C2×#4111yescharacteristic
232C22×D13C2×#4111yescharacteristic
233C22×D13H(5,𝔽2)12yes—
234C22×D132−1+412yes—
235C2×#261—24no—
236C2×#261—24no—
237C2×#261—28no—
238C2×#261—28no—
239C2×#261—24no—
240C2×#261—28no—
241C2×#261—28no—
242C2×#261—24no—
243C2×#261—24no—
244C2×#261—28no—
245C2×#261—432no—
246C2×#261—44no—
247C2×#261—44no—
248C2×#261—44no—
249C2×#261—44no—
250C2×#261—44no—
251C2×#261—44no—
252C2×#261C2×C22⋊C418yes—
253C2×C4×C13—22no—
254C2×C4×C13—22no—
255C2×C4×C13—22no—
256C2×C4×C13—28no—
257C2×C4×C13—22no—
258C2×C4×C13—22no—
259C2×C4×C13—22no—
260C2×C4×C13C2×C4212yes—
261C2×C4×C13C2×C4212yes—
262C2×C4×C13C2×C4⋊C414yescomplemented
263C2×C4×C13C4×D414yes—
264C2×Dic13—22no—
265C2×Dic13—22no—
266C2×Dic13—22no—
267C2×Dic13—28no—
268C2×Dic13—22no—
269C2×Dic13—22no—
270C2×Dic13—22no—
271C2×Dic13C2×C4212yes—
272C2×Dic13C2×C4212yes—
273C2×Dic13C2×C4⋊C414yescomplemented
274C2×Dic13C4×D414yes—
275C4×D13—22no—
276C4×D13—22no—
277C4×D13—24no—
278C4×D13—24no—
279C4×D13—24no—
280C4×D13—24no—
281C4×D13—24no—
282C4×D13—28no—
283C4×D13—28no—
284C4×D13—42no—
285C4×D13—42no—
286C4×D13—42no—
287C4×D13—42no—
288C4×D13C2×C22⋊C414yes—
289C4×D13#11714yes—
290C4×D13C4×D418yes—
291C24×C4—131no—
292C24×C4—132no—
293C22×C4⋊C4—131no—
294C22×C4⋊C4—131no—
295C22×C4⋊C4—132no—
296C22×C4⋊C4—138no—
297C22×C4⋊C4—132no—
298C22×C4⋊C4—268no—
299C22×C22⋊C4—131no—
300C22×C22⋊C4—132no—
301C22×C22⋊C4—131no—
302C22×C42—132no—
303C22×C42—134no—
304#380—138no—
305C4×C4⋊C4—268no—
306C4×C22⋊C4—131no—
307C4×C22⋊C4—131no—
308C4×C22⋊C4—131no—
309C4×C22⋊C4—132no—
310C4×C22⋊C4—132no—
311C4×C22⋊C4—268no—
312C4×C22⋊C4#26111yescharacteristic, complemented
313C2×#95—132no—
314C2×#95—132no—
315C2×#95—134no—
316C2×#95—134no—
317C2×#95—134no—
318C22×C13—24no—
319C22×C13—24no—
320C22×C13—22no—
321C22×C13—22no—
322C22×C13C4×C4⋊C414yescomplemented
323C22×C13C22×C4211yescharacteristic
324C22×C13C22×C4⋊C411yescharacteristic
325C22×C13C2×#11711yescharacteristic
326C22×C13C2×C4×D412yes—
327C22×C13#52012yes—
328C2×D13—24no—
329C2×D13—24no—
330C2×D13—22no—
331C2×D13—22no—
332C2×D13—24no—
333C2×D13—24no—
334C2×D13—24no—
335C2×D13—24no—
336C2×D13—28no—
337C2×D13—28no—
338C2×D13C4×C4⋊C414yescomplemented
339C2×D13C22×C22⋊C411yescharacteristic
340C2×D13C2×#11711yescharacteristic
341C2×D13C2×C4×D411yescharacteristic
342C2×D13C2×C4×D412yes—
343C2×D13C2×C4×D411yescharacteristic
344C2×D13C2×C4×Q811yescharacteristic
345C2×D13C2×C4×Q811yescharacteristic
346C2×D13#51811yescharacteristic
347C2×D13#51911yescharacteristic
348C2×D13#52012yes—
349C2×D13D4212yes—
350C2×D13#54612yes—
351C2×D13#54712yes—
352C2×D13#54812yes—
353C2×D13D4×Q812yes—
354C2×D13#55212yes—
355C2×D13#55312yes—
356C2×D13#55412yes—
357#261—28no—
358#261—44no—
359#261—48no—
360C4×C13—24no—
361C4×C13—22no—
362C4×C13—42no—
363C4×C13C4×C22⋊C414yescomplemented
364Dic13—24no—
365Dic13—22no—
366Dic13—42no—
367Dic13C4×C22⋊C414yescomplemented
368C25—131no—
369C23×C4—131no—
370C23×C4—132no—
371C23×C4—131no—
372C23×C4—134no—
373C23×C4—134no—
374C23×C4—132no—
375C23×C4—131no—
376C23×C4—131no—
377C23×C4—131no—
378C23×C4—134no—
379C23×C4—132no—
380C23×C4—138no—
381C23×C4—132no—
382C23×C4—264no—
383C23×C4—264no—
384C23×C4—268no—
385C23×C4—264no—
386C23×C4—264no—
387C23×C4—524no—
388C23×C4C2×#26111yescharacteristic
389C2×C4⋊C4—134no—
390C2×C4⋊C4—138no—
391C2×C4⋊C4—134no—
392C2×C4⋊C4—138no—
393C2×C4⋊C4—138no—
394C2×C4⋊C4—2632no—
395C2×C4⋊C4—264no—
396C2×C4⋊C4—268no—
397C2×C4⋊C4—264no—
398C2×C4⋊C4—264no—
399C2×C22⋊C4—131no—
400C2×C22⋊C4—132no—
401C2×C22⋊C4—134no—
402C2×C22⋊C4—134no—
403C2×C22⋊C4—138no—
404C2×C22⋊C4—131no—
405C2×C22⋊C4—132no—
406C2×C22⋊C4—262no—
407C2×C22⋊C4—262no—
408C2×C22⋊C4—264no—
409C2×C22⋊C4—264no—
410C2×C22⋊C4C2×#26111yescharacteristic
411C2×C22⋊C4C2×#26111yescharacteristic
412C2×C42—132no—
413C2×C42—132no—
414C2×C42—132no—
415C2×C42—264no—
416C2×C42—264no—
417C2×C42—268no—
418C2×C42—268no—
419C2×C42—524no—
420C2×C42C2×#26112yescomplemented
421#95—138no—
422#95—132no—
423#95—132no—
424#95—132no—
425#95—268no—
426#95—268no—
427#95—524no—
428#95C2×#26112yescomplemented
429C2×C13—24no—
430C2×C13C2×C4×C22⋊C411yescharacteristic
431C2×C13C2×C4×C4⋊C411yescharacteristic
432C2×C13#227411yescharacteristic
433C2×C13D4×C4⋊C412yes—
434C2×C13#235212yes—
435D13—24no—
436D13D4×C22⋊C411yescharacteristic
437D13Q8×C22⋊C411yescharacteristic
438D13#234411yescharacteristic
439D13#234511yescharacteristic
440D13#236012yes—
441D13#236112yes—
442C24—131no—
443C24—132no—
444C24—132no—
445C24—132no—
446C24—132no—
447C24—132no—
448C24—132no—
449C24—131no—
450C24—262no—
451C24—262no—
452C24—262no—
453C24—262no—
454C24C22×#26111yescharacteristic
455C22×C4—24no—
456C22×C4—131no—
457C22×C4—132no—
458C22×C4—132no—
459C22×C4—134no—
460C22×C4—134no—
461C22×C4—138no—
462C22×C4—134no—
463C22×C4—134no—
464C22×C4—131no—
465C22×C4—132no—
466C22×C4—132no—
467C22×C4—132no—
468C22×C4—134no—
469C22×C4—134no—
470C22×C4—134no—
471C22×C4—134no—
472C22×C4—138no—
473C22×C4—134no—
474C22×C4—132no—
475C22×C4—268no—
476C22×C4—264no—
477C22×C4—2616no—
478C22×C4—268no—
479C22×C4—262no—
480C22×C4—262no—
481C22×C4—262no—
482C22×C4—262no—
483C22×C4—262no—
484C22×C4—262no—
485C22×C4—262no—
486C22×C4—262no—
487C22×C4—262no—
488C22×C4—262no—
489C22×C4—262no—
490C22×C4—262no—
491C22×C4—264no—
492C22×C4—2616no—
493C22×C4—262no—
494C22×C4—264no—
495C22×C4—262no—
496C22×C4—264no—
497C22×C4—262no—
498C22×C4—264no—
499C22×C4—264no—
500C22×C4—264no—
501C22×C4—264no—
502C22×C4—264no—
503C22×C4—264no—
504C22×C4—264no—
505C22×C4—2616no—
506C22×C4—262no—
507C22×C4—264no—
508C22×C4—528no—
509C22×C4—5216no—
510C22×C4—5216no—
511C22×C4C4×#26114yescomplemented
512C22×C4C22×#26112yes—
513C22×C4C22×#26111yescharacteristic
514C22×C4C22×#26112yes—
515C22×C4C22×#26111yescharacteristic
516C4⋊C4—1316no—
517C4⋊C4—268no—
518C4⋊C4—2616no—
519C4⋊C4—2616no—
520C22⋊C4—22no—
521C22⋊C4—134no—
522C22⋊C4—138no—
523C22⋊C4—264no—
524C22⋊C4—2616no—
525C22⋊C4—262no—
526C22⋊C4C4⋊#26114yesdirect product factor
527C42—24no—
528C42—264no—
529C42—264no—
530C42—264no—
531C42—5216no—
532C13C22⋊C4×C4⋊C411yescharacteristic, complemented, Sylow
533C23—22no—
534C23—22no—
535C23—131no—
536C23—131no—
537C23—131no—
538C23—131no—
539C23—131no—
540C23—131no—
541C23—132no—
542C23—132no—
543C23—132no—
544C23—132no—
545C23—134no—
546C23—134no—
547C23—134no—
548C23—134no—
549C23—132no—
550C23—132no—
551C23—132no—
552C23—262no—
553C23—262no—
554C23—264no—
555C23—262no—
556C23—264no—
557C23—264no—
558C23—262no—
559C23—264no—
560C23—264no—
561C23—264no—
562C23—264no—
563C23—264no—
564C23—264no—
565C23—264no—
566C23—262no—
567C23—262no—
568C23C2×C4×#26112yes—
569C23C2×C4⋊#26112yes—
570C23#8823712yes—
571C23C23×#26111yescharacteristic
572C2×C4—22no—
573C2×C4—22no—
574C2×C4—22no—
575C2×C4—28no—
576C2×C4—22no—
577C2×C4—22no—
578C2×C4—22no—
579C2×C4—132no—
580C2×C4—134no—
581C2×C4—134no—
582C2×C4—138no—
583C2×C4—134no—
584C2×C4—138no—
585C2×C4—132no—
586C2×C4—134no—
587C2×C4—268no—
588C2×C4—264no—
589C2×C4—262no—
590C2×C4—264no—
591C2×C4—264no—
592C2×C4—264no—
593C2×C4—262no—
594C2×C4—264no—
595C2×C4—268no—
596C2×C4—268no—
597C2×C4—264no—
598C2×C4—264no—
599C2×C4—268no—
600C2×C4—262no—
601C2×C4—262no—
602C2×C4—262no—
603C2×C4—268no—
604C2×C4—268no—
605C2×C4—264no—
606C2×C4—268no—
607C2×C4—264no—
608C2×C4—264no—
609C2×C4—268no—
610C2×C4—262no—
611C2×C4—262no—
612C2×C4—262no—
613C2×C4—522no—
614C2×C4—522no—
615C2×C4—522no—
616C2×C4—522no—
617C2×C4—5232no—
618C2×C4—524no—
619C2×C4—524no—
620C2×C4—524no—
621C2×C4—524no—
622C2×C4—524no—
623C2×C4—524no—
624C2×C4C2×C4×#26112yes—
625C2×C4C2×C4×#26112yes—
626C2×C4C2×C4⋊#26114yescomplemented
627C2×C4D4×#26114yes—
628C22—22no—
629C22—22no—
630C22—24no—
631C22—24no—
632C22—131no—
633C22—131no—
634C22—132no—
635C22—131no—
636C22—131no—
637C22—131no—
638C22—131no—
639C22—131no—
640C22—131no—
641C22—132no—
642C22—132no—
643C22—132no—
644C22—132no—
645C22—132no—
646C22—132no—
647C22—132no—
648C22—132no—
649C22—132no—
650C22—134no—
651C22—264no—
652C22—268no—
653C22—264no—
654C22—264no—
655C22—264no—
656C22—268no—
657C22—262no—
658C22—262no—
659C22—264no—
660C22—264no—
661C22C4×C4⋊#26114yescomplemented
662C22C22×C4×#26111yescharacteristic
663C22C22×C4⋊#26111yescharacteristic
664C22C2×#8823711yescharacteristic
665C22C2×D4×#26112yes—
666C22#1171963112yes—
667C4—22no—
668C4—24no—
669C4—42no—
670C4—134no—
671C4—268no—
672C4—262no—
673C4—264no—
674C4—528no—
675C4—524no—
676C4—522no—
677C4C22⋊C4×#26114yescomplemented
678C2—24no—
679C2—131no—
680C2—132no—
681C2—131no—
682C2—131no—
683C2—131no—
684C2—132no—
685C2—264no—
686C2C2×C22⋊C4×#26111yescharacteristic
687C2C2×C4×C4⋊#26111yescharacteristic
688C2#1313127311yescharacteristic
689C2D4×C4⋊#26112yes—
690C2#1313135212yes—
subgroupG/H
center, FrattiniC23C23×#261
commutatorC22×C13C22×C42
FittingC4×C13×C22⋊C4C4
socleC23×C13C23×C4
prime radicalC24×D13C23
cosocleC23×D13C24
hypercenterC4×C22⋊C4#261
hypocenterC13C22⋊C4×C4⋊C4
LCSG ▷ C22×C13 ▷ C13
UCSC1 ◁ C23 ◁ C4×C22⋊C4

Complements

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

NH ≅ G/Ntype
3. C2×C4×C4⋊#261C2semidirect
5. #13130016C2semidirect
6. #13130014C2semidirect
13. C22×C4⋊#261C4semidirect
22. #11719136C4semidirect
29. C4×C13×C22⋊C4C4semidirect
30. C4×C22⋊Dic13C4semidirect
31. C22⋊C4×Dic13C4semidirect
32. C22⋊C4×Dic13C4semidirect
33. C4×#6103C4semidirect
34. #11718327C4semidirect
68. C2×C4⋊#261C2×C4semidirect
75. C2×C42×C13C2×C4semidirect
80. C2×C4×Dic13C2×C4semidirect
81. C2×C4×Dic13C2×C4semidirect
82. C2×C4×Dic13C2×C4semidirect
92. (C2×#261)⋊C4C2×C4semidirect
93. C13×#95C2×C4semidirect
94. #88071C2×C4semidirect
95. #88071C2×C4semidirect
96. #88071C2×C4semidirect
134. C22×C4×C13C42semidirect
140. C22×Dic13C42semidirect
162. C2×C4×D13C42semidirect
163. C2×C4×D13C42semidirect
176. C4⋊#261C22⋊C4direct (N × H)
179. C13×C22⋊C4C4⋊C4semidirect
182. C22⋊Dic13C4⋊C4semidirect
184. #6103C4⋊C4semidirect
262. C2×C4×C13C2×C4⋊C4semidirect
273. C2×Dic13C2×C4⋊C4semidirect
312. C4×C22⋊C4#261semidirect
322. C22×C13C4×C4⋊C4semidirect
338. C2×D13C4×C4⋊C4semidirect
363. C4×C13C4×C22⋊C4semidirect
367. Dic13C4×C22⋊C4semidirect
420. C2×C42C2×#261semidirect
428. #95C2×#261semidirect
511. C22×C4C4×#261semidirect
526. C22⋊C4C4⋊#261direct (N × H)
532. C13C22⋊C4×C4⋊C4semidirect
626. C2×C4C2×C4⋊#261semidirect
661. C22C4×C4⋊#261semidirect
677. C4C22⋊C4×#261semidirect

Maximal subgroups

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

subgroupindex
C23×C4⋊#2612
C2×#117191362
C2×C4×C4⋊#2612
C2×C22⋊C4×#2612
#131300162
#131300142
#131300092
C4×C22⋊C4×D132
C22⋊C4×C4⋊C413