Finite Group Databasebeta

← C4×#16839652 #29601176

Subgroups — C4×#16839652 #29601176

Order 15616.

2134 conjugacy classes of subgroups.

The subgroup lattice has 706 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16839652C212yesmaximal
2C2×C4×#11758198C211yesmaximal, characteristic
3C2×C4×#11758198C211yesmaximal, characteristic
4C2×C4×#11758198C211yesmaximal, characteristic
5C2×C42×Dic61C211yesmaximal, characteristic, complemented
6#21444055C212yesmaximal
7#21444051C212yesmaximal, complemented
8#21444045C212yesmaximal, complemented
9C4×#14519684C211yesmaximal, characteristic, complemented
10C4×#14519684C211yesmaximal, characteristic, complemented
11C2×C4×C4⋊C4×C61C211yesmaximal, characteristic, complemented
12C23×C4×D61C2211yescharacteristic
13C22×#11758198C2212yes—
14C22×#11758198C2212yes—
15C22×#11758198C2211yescharacteristic
16C22×#11758198C2211yescharacteristic
17C22×C4×Dic61C2211yescharacteristic
18C22×C4×Dic61C2212yes—
19C22×C4×Dic61C2211yescharacteristic
20C22×C4×Dic61C2212yes—
21C22×C4×Dic61C2211yescharacteristic
22#16839652C4116yesdirect product factor
23C4×#11758198—24no—
24C4×#11758198—24no—
25C4×#11758198C418yescomplemented
26C2×#14519684C2212yes—
27C2×#14519684C2212yes—
28C2×#14519684C2212yes—
29C2×#14519684C2212yes—
30C2×#14519684C2211yescharacteristic
31C2×#14519684C2211yescharacteristic
32C2×#14519684C2212yes—
33C2×#14519684C2212yes—
34C42×Dic61—24no—
35C22×C4⋊C4×C61C2212yes—
36C22×C42×C61C2211yescharacteristic
37C22×C42×C61C2211yescharacteristic
38C22×C42×C61C2211yescharacteristic
39C4×C4⋊C4×C61—24no—
40C2×#95×C61C2212yes—
41C24×D61C2311yescharacteristic
42C23×Dic61C2312yes—
43C23×Dic61C2311yescharacteristic
44C23×Dic61C2311yescharacteristic
45C23×Dic61C2312yes—
46C23×Dic61C2311yescharacteristic
47C22×C4×D61—22no—
48C22×C4×D61—22no—
49C22×C4×D61—22no—
50C22×C4×D61—22no—
51C22×C4×D61—22no—
52C22×C4×D61—22no—
53C22×C4×D61C2×C414yes—
54C2×#11758198—24no—
55C2×#11758198—24no—
56C2×#11758198—24no—
57C2×#11758198—24no—
58C2×#11758198—24no—
59C2×#11758198C2×C414yes—
60C2×#11758198C2×C418yes—
61C2×#11758198C2×C418yes—
62C2×#11758198C2×C414yes—
63C2×#11758198C2×C418yes—
64C2×C4×Dic61—22no—
65C2×C4×Dic61—24no—
66C2×C4×Dic61—22no—
67C2×C4×Dic61—22no—
68C2×C4×Dic61—22no—
69C2×C4×Dic61—24no—
70C2×C4×Dic61—24no—
71C2×C4×Dic61—24no—
72C2×C4×Dic61—24no—
73C2×C4×Dic61—22no—
74C2×C4×Dic61—22no—
75C2×C4×Dic61—22no—
76C2×C4×Dic61C2×C414yes—
77C2×C4×Dic61C2×C418yescomplemented
78C2×C4×Dic61D414yes—
79#14519684—24no—
80#14519684—24no—
81#14519684—24no—
82#14519684—24no—
83#14519684C2×C414yes—
84#14519684C2×C414yes—
85#14519684C2×C418yescomplemented
86#14519684C2×C418yescomplemented
87C23×C4×C61C2311yescharacteristic
88C23×C4×C61C2312yes—
89C23×C4×C61C2311yescharacteristic
90C23×C4×C61C2312yes—
91C23×C4×C61C2311yescharacteristic
92C2×C4⋊C4×C61—24no—
93C2×C4⋊C4×C61—24no—
94C2×C4⋊C4×C61C2×C418yescomplemented
95C2×C42×C61—22no—
96C2×C42×C61—22no—
97C2×C42×C61—22no—
98C2×C42×C61—22no—
99C2×C42×C61—22no—
100C2×C42×C61—22no—
101C2×C42×C61—22no—
102C2×C42×C61C2×C414yes—
103C2×C42×C61D414yes—
104#95×C61—24no—
105C24×C61C2411yescharacteristic
106C23×D61—21no—
107C23×D61—21no—
108C23×D61—21no—
109C23×D61—21no—
110C23×D61—21no—
111C23×D61—21no—
112C23×D61—22no—
113C23×D61—22no—
114C23×D61—22no—
115C23×D61C22×C412yes—
116C23×D61C22×C414yes—
117C22×C4×C61—21no—
118C22×C4×C61—22no—
119C22×C4×C61—21no—
120C22×C4×C61—22no—
121C22×C4×C61—22no—
122C22×C4×C61—22no—
123C22×C4×C61—22no—
124C22×C4×C61—21no—
125C22×C4×C61—22no—
126C22×C4×C61—22no—
127C22×C4×C61—21no—
128C22×C4×C61—22no—
129C22×C4×C61—22no—
130C22×C4×C61—22no—
131C22×C4×C61—22no—
132C22×C4×C61—22no—
133C22×C4×C61—22no—
134C22×C4×C61C22×C412yes—
135C22×C4×C61C22×C414yes—
136C22×C4×C61C22×C412yes—
137C22×C4×C61C22×C414yes—
138C22×C4×C61C22×C414yes—
139C22×C4×C61C22×C412yes—
140C22×C4×C61C2×D414yes—
141C22×C4×C61C2×D412yes—
142C22×C4×C61C2×D412yes—
143C22×C4×C61#4114yes—
144C22×C4×C61#4112yes—
145C22×C4×C61#4112yes—
146C22×C4×C61#4112yes—
147C22×C4×C61#4112yes—
148C22×Dic61—21no—
149C22×Dic61—21no—
150C22×Dic61—21no—
151C22×Dic61—22no—
152C22×Dic61—21no—
153C22×Dic61—22no—
154C22×Dic61—22no—
155C22×Dic61—22no—
156C22×Dic61—22no—
157C22×Dic61—22no—
158C22×Dic61—21no—
159C22×Dic61—21no—
160C22×Dic61—22no—
161C22×Dic61—21no—
162C22×Dic61—21no—
163C22×Dic61—21no—
164C22×Dic61—21no—
165C22×Dic61—22no—
166C22×Dic61—22no—
167C22×Dic61—22no—
168C22×Dic61—22no—
169C22×Dic61—22no—
170C22×Dic61C22×C412yes—
171C22×Dic61C22×C414yes—
172C22×Dic61C22×C412yes—
173C22×Dic61C22×C414yes—
174C22×Dic61C22×C412yes—
175C22×Dic61C22×C414yes—
176C22×Dic61C2×D414yes—
177C22×Dic61#4114yes—
178C22×Dic61#4114yes—
179C2×C4×D61—28no—
180C2×C4×D61—28no—
181C2×C4×D61—28no—
182C2×C4×D61—44no—
183C2×C4×D61—44no—
184C2×C4×D61—44no—
185C2×C4×D61—44no—
186C4⋊C4×C61—216no—
187C42×C61—28no—
188C42×C61—28no—
189C42×C61—44no—
190#11758198—216no—
191#11758198—28no—
192#11758198—216no—
193#11758198C42116yescomplemented
194C4×Dic61—216no—
195C4×Dic61—28no—
196C4×Dic61—28no—
197C4×Dic61—216no—
198C4×Dic61—44no—
199C23×C61C23×C411yescharacteristic
200C23×C61C23×C412yes—
201C23×C61C22×D411yescharacteristic
202C23×C61C22×D411yescharacteristic
203C23×C61C2×#4111yescharacteristic
204C23×C61C2×#4111yescharacteristic
205C23×C61C2×#4112yes—
206C23×C61C2×#4111yescharacteristic
207C23×C61C2×#4112yes—
208C23×C61C2×#4111yescharacteristic
209C23×C61C2×#4112yes—
210C22×D61—22no—
211C22×D61—22no—
212C22×D61—24no—
213C22×D61—24no—
214C22×D61—22no—
215C22×D61—22no—
216C22×D61—24no—
217C22×D61—24no—
218C22×D61—24no—
219C22×D61—24no—
220C22×D61—22no—
221C22×D61—22no—
222C22×D61—41no—
223C22×D61—41no—
224C22×D61—42no—
225C22×D61—41no—
226C22×D61—41no—
227C22×D61—42no—
228C22×D61—42no—
229C22×D61—42no—
230C22×D61—42no—
231C22×D61—42no—
232C22×D61C2×C4214yes—
233C2×C4×C61—24no—
234C2×C4×C61—22no—
235C2×C4×C61—24no—
236C2×C4×C61—24no—
237C2×C4×C61—22no—
238C2×C4×C61—24no—
239C2×C4×C61—24no—
240C2×C4×C61—24no—
241C2×C4×C61—24no—
242C2×C4×C61—24no—
243C2×C4×C61—22no—
244C2×C4×C61—24no—
245C2×C4×C61—22no—
246C2×C4×C61—24no—
247C2×C4×C61—22no—
248C2×C4×C61—24no—
249C2×C4×C61—42no—
250C2×C4×C61—42no—
251C2×C4×C61—42no—
252C2×C4×C61—42no—
253C2×C4×C61—42no—
254C2×C4×C61—42no—
255C2×C4×C61C2×C4214yes—
256C2×C4×C61#11714yes—
257C2×C4×C61C4×D418yes—
258C2×C4×C61C4×D414yes—
259C2×C4×C61C4×D414yes—
260C2×C4×C61#12114yes—
261C2×C4×C61#12314yes—
262C2×C4×C61#12414yes—
263C2×C4×C61#12614yes—
264C2×Dic61—24no—
265C2×Dic61—22no—
266C2×Dic61—22no—
267C2×Dic61—22no—
268C2×Dic61—24no—
269C2×Dic61—22no—
270C2×Dic61—24no—
271C2×Dic61—24no—
272C2×Dic61—24no—
273C2×Dic61—24no—
274C2×Dic61—24no—
275C2×Dic61—24no—
276C2×Dic61—24no—
277C2×Dic61—24no—
278C2×Dic61—22no—
279C2×Dic61—24no—
280C2×Dic61—22no—
281C2×Dic61—22no—
282C2×Dic61—24no—
283C2×Dic61—24no—
284C2×Dic61—41no—
285C2×Dic61—41no—
286C2×Dic61—42no—
287C2×Dic61—41no—
288C2×Dic61—41no—
289C2×Dic61—42no—
290C2×Dic61—42no—
291C2×Dic61—42no—
292C2×Dic61C2×C4214yes—
293C2×Dic61#11714yes—
294C2×Dic61C4×D418yes—
295C4×D61—416no—
296C4×#388—611nomaximal, Sylow
297C22×C61C22×C4211yescharacteristic
298C22×C61C2×#11711yescharacteristic
299C22×C61C2×#11711yescharacteristic
300C22×C61C2×C4×D412yes—
301C22×C61C2×C4×D411yescharacteristic
302C22×C61C2×C4×D412yes—
303C22×C61C2×C4×D411yescharacteristic
304C22×C61C4×#4112yes—
305C22×C61C4×#4111yescharacteristic
306C22×C61C4×#4112yes—
307C22×C61C4×#4111yescharacteristic
308C22×C61C4×#4112yes—
309C22×C61C4×#4112yes—
310C22×C61C2×#12111yescharacteristic
311C22×C61C2×#12311yescharacteristic
312C22×C61#52512yes—
313C22×C61C2×#12411yescharacteristic
314C22×C61C2×#12611yescharacteristic
315C22×C61#52912yes—
316C22×C61#52912yes—
317C22×C61#52912yes—
318C22×C61#52912yes—
319C22×C61#53212yes—
320C2×D61—24no—
321C2×D61—24no—
322C2×D61—24no—
323C2×D61—44no—
324C2×D61—42no—
325C2×D61—42no—
326C2×D61—42no—
327C2×D61—42no—
328C2×D61—44no—
329C2×D61—44no—
330C2×D61—44no—
331C4×C61—24no—
332C4×C61—28no—
333C4×C61—42no—
334C4×C61—44no—
335C4×C61#38818yescomplemented
336Dic61—24no—
337Dic61—24no—
338Dic61—28no—
339Dic61—42no—
340Dic61—44no—
341C2×#388—612no—
342C2×C4×C4⋊C4D6111yescharacteristic, complemented
343C2×C4×C22⋊C4—611no—
344C2×C4×C22⋊C4—611no—
345C2×C4×C22⋊C4—611no—
346C2×C43—611no—
347#1437—612no—
348#1436—612no—
349#1434—612no—
350C4×#95—611no—
351C4×#95—611no—
352C2×C61C4×#11711yescharacteristic
353C2×C61C42×D411yescharacteristic
354C2×C61C42×D411yescharacteristic
355C2×C61C2×#38811yescharacteristic
356C2×C61#229011yescharacteristic
357C2×C61#229311yescharacteristic
358C2×C61#229811yescharacteristic
359C2×C61C4×#12112yes—
360C2×C61C4×#12312yes—
361C2×C61C4×#12412yes—
362C2×C61C4×#12612yes—
363D61—44no—
364C24×C4—611no—
365C22×C4⋊C4C2×D6112yes—
366C22×C22⋊C4—611no—
367C22×C22⋊C4—611no—
368C22×C22⋊C4—612no—
369C22×C22⋊C4—612no—
370C22×C42—612no—
371C22×C42—611no—
372C22×C42—611no—
373C22×C42—612no—
374C22×C42—611no—
375C22×C42C2×D6111yescharacteristic
376C22×C42C2×D6111yescharacteristic
377C22×C42C2×D6111yescharacteristic
378#388—6116no—
379C4×C4⋊C4—24no—
380C4×C22⋊C4—618no—
381C4×C22⋊C4—1224no—
382C4×C22⋊C4—1224no—
383C2×#95—612no—
384C2×#95—612no—
385C2×#95—611no—
386C2×#95—611no—
387C2×#95—612no—
388C2×#95—612no—
389C2×#95—612no—
390C2×#95—612no—
391C2×#95C2×D6112yes—
392C43—1224no—
393C61C4×#38811yescharacteristic, complemented, Sylow
394C25—611no—
395C23×C4—611no—
396C23×C4—612no—
397C23×C4—611no—
398C23×C4—612no—
399C23×C4—611no—
400C23×C4—614no—
401C23×C4—1222no—
402C23×C4—1222no—
403C23×C4—1222no—
404C23×C4—1222no—
405C23×C4—1222no—
406C23×C4—1222no—
407C23×C4C22×D6112yes—
408C23×C4C22×D6111yescharacteristic
409C23×C4C22×D6111yescharacteristic
410C23×C4C22×D6112yes—
411C23×C4C22×D6111yescharacteristic
412C2×C4⋊C4—24no—
413C2×C4⋊C4—24no—
414C2×C4⋊C4C4×D6118yescomplemented
415C2×C22⋊C4—614no—
416C2×C22⋊C4—618no—
417C2×C22⋊C4—614no—
418C2×C22⋊C4—618no—
419C2×C22⋊C4—618no—
420C2×C22⋊C4—1224no—
421C2×C22⋊C4—1224no—
422C2×C22⋊C4—1224no—
423C2×C22⋊C4—1224no—
424C2×C22⋊C4—1224no—
425C2×C42—22no—
426C2×C42—22no—
427C2×C42—22no—
428C2×C42—22no—
429C2×C42—22no—
430C2×C42—22no—
431C2×C42—22no—
432C2×C42—614no—
433C2×C42—618no—
434C2×C42—614no—
435C2×C42—1224no—
436C2×C42—1224no—
437C2×C42—1224no—
438C2×C42—1224no—
439C2×C42—1224no—
440C2×C42—1222no—
441C2×C42—1222no—
442C2×C42—1222no—
443C2×C42—1222no—
444C2×C42—1222no—
445C2×C42—1222no—
446C2×C42—1222no—
447C2×C42C4×D6114yes—
448C2×C42C22⋊D6114yes—
449#95—24no—
450#95—614no—
451#95—614no—
452#95—618no—
453#95—618no—
454#95—1224no—
455#95—1224no—
456#95—1224no—
457#95—1224no—
458C24—614no—
459C24—612no—
460C24—1221no—
461C24—1221no—
462C24—1222no—
463C24—1222no—
464C24—1221no—
465C24—1222no—
466C24—1221no—
467C24—1221no—
468C24—1221no—
469C24C23×D6111yescharacteristic
470C22×C4—22no—
471C22×C4—21no—
472C22×C4—22no—
473C22×C4—22no—
474C22×C4—22no—
475C22×C4—21no—
476C22×C4—22no—
477C22×C4—22no—
478C22×C4—21no—
479C22×C4—22no—
480C22×C4—22no—
481C22×C4—22no—
482C22×C4—22no—
483C22×C4—22no—
484C22×C4—22no—
485C22×C4—21no—
486C22×C4—22no—
487C22×C4—614no—
488C22×C4—612no—
489C22×C4—612no—
490C22×C4—614no—
491C22×C4—614no—
492C22×C4—614no—
493C22×C4—614no—
494C22×C4—614no—
495C22×C4—612no—
496C22×C4—1221no—
497C22×C4—1221no—
498C22×C4—1222no—
499C22×C4—1222no—
500C22×C4—1222no—
501C22×C4—1222no—
502C22×C4—1222no—
503C22×C4—1221no—
504C22×C4—1221no—
505C22×C4—1222no—
506C22×C4—1221no—
507C22×C4—1221no—
508C22×C4—1222no—
509C22×C4—1222no—
510C22×C4—1222no—
511C22×C4—1221no—
512C22×C4—1222no—
513C22×C4—1221no—
514C22×C4—1222no—
515C22×C4—1222no—
516C22×C4—1221no—
517C22×C4—1221no—
518C22×C4—1228no—
519C22×C4—1228no—
520C22×C4—1228no—
521C22×C4—2444no—
522C22×C4—2444no—
523C22×C4—2444no—
524C22×C4—2444no—
525C22×C4C2×C4×D6112yes—
526C22×C4C2×C4×D6114yes—
527C22×C4C2×C4×D6112yes—
528C22×C4C2×C4×D6114yes—
529C22×C4C2×C4×D6114yes—
530C22×C4C2×C4×D6112yes—
531C22×C4#1175822214yes—
532C22×C4#1175822212yes—
533C22×C4D4×D6112yes—
534C22×C4#1175822412yes—
535C22×C4#1175822612yes—
536C22×C4#1175822612yes—
537C22×C4C2×C22⋊D6114yes—
538C22×C4C2×C22⋊D6112yes—
539C4⋊C4—216no—
540C22⋊C4—6116no—
541C22⋊C4—1228no—
542C22⋊C4—12216no—
543C22⋊C4—12216no—
544C42—28no—
545C42—28no—
546C42—44no—
547C42—12216no—
548C42—12216no—
549C42—1228no—
550C42—1228no—
551C42—2444no—
552C23—614no—
553C23—1222no—
554C23—1222no—
555C23—1224no—
556C23—1224no—
557C23—1222no—
558C23—1222no—
559C23—1224no—
560C23—1222no—
561C23—1222no—
562C23—1224no—
563C23—1224no—
564C23—1224no—
565C23—2441no—
566C23—2441no—
567C23—2442no—
568C23—2441no—
569C23—2441no—
570C23—2442no—
571C23—2442no—
572C23—2442no—
573C23—2442no—
574C23—2442no—
575C23C22×C4×D6111yescharacteristic
576C23C22×C4×D6112yes—
577C23C2×D4×D6111yescharacteristic
578C23C22×C22⋊D6111yescharacteristic
579C23#41×D6112yes—
580C23#41×D6112yes—
581C23C2×#1175822411yescharacteristic
582C23C2×#1175822211yescharacteristic
583C23C2×#1175822212yes—
584C23C2×#1175822611yescharacteristic
585C23C2×#1175822611yescharacteristic
586C2×C4—24no—
587C2×C4—22no—
588C2×C4—24no—
589C2×C4—24no—
590C2×C4—22no—
591C2×C4—24no—
592C2×C4—24no—
593C2×C4—24no—
594C2×C4—24no—
595C2×C4—24no—
596C2×C4—22no—
597C2×C4—24no—
598C2×C4—22no—
599C2×C4—24no—
600C2×C4—24no—
601C2×C4—22no—
602C2×C4—42no—
603C2×C4—42no—
604C2×C4—42no—
605C2×C4—42no—
606C2×C4—42no—
607C2×C4—42no—
608C2×C4—614no—
609C2×C4—614no—
610C2×C4—618no—
611C2×C4—1224no—
612C2×C4—1222no—
613C2×C4—1222no—
614C2×C4—1222no—
615C2×C4—1222no—
616C2×C4—1224no—
617C2×C4—1224no—
618C2×C4—1224no—
619C2×C4—1224no—
620C2×C4—1224no—
621C2×C4—1224no—
622C2×C4—1224no—
623C2×C4—1224no—
624C2×C4—1224no—
625C2×C4—1222no—
626C2×C4—1224no—
627C2×C4—1222no—
628C2×C4—1222no—
629C2×C4—1224no—
630C2×C4—1224no—
631C2×C4—2441no—
632C2×C4—2441no—
633C2×C4—2442no—
634C2×C4—2441no—
635C2×C4—2441no—
636C2×C4—2442no—
637C2×C4—2442no—
638C2×C4—2442no—
639C2×C4—24416no—
640C2×C4C42×D6114yes—
641C2×C4#1451973514yes—
642C2×C4C4×C22⋊D6118yes—
643C2×C4C4×C22⋊D6114yes—
644C2×C4#1451973914yes—
645C2×C4#1451974914yes—
646C2×C4#1451976214yes—
647C2×C4#1451976614yes—
648C2×C4#1451977214yes—
649C22—1224no—
650C22—1224no—
651C22—1224no—
652C22—2442no—
653C22—2442no—
654C22—2442no—
655C22—2442no—
656C22—2444no—
657C22—2444no—
658C22—2444no—
659C22—2444no—
660C22C2×C42×D6111yescharacteristic
661C22#117×D6111yescharacteristic
662C22C2×#1451973511yescharacteristic
663C22C4×D4×D6112yes—
664C22C2×C4×C22⋊D6111yescharacteristic
665C22C2×C4×C22⋊D6112yes—
666C22C2×#1451973911yescharacteristic
667C22C4×#1175822412yes—
668C22#1684023011yescharacteristic
669C22C4×#1175822211yescharacteristic
670C22C4×#1175822212yes—
671C22C4×#1175822612yes—
672C22C4×#1175822612yes—
673C22C2×#1451974911yescharacteristic
674C22C2×#1451976211yescharacteristic
675C22#1684027112yes—
676C22C2×#1451976611yescharacteristic
677C22C2×#1451977211yescharacteristic
678C22#1684029012yes—
679C22#1684029212yes—
680C22#1684029912yes—
681C22#1684029912yes—
682C22#1684030812yes—
683C4—28no—
684C4—24no—
685C4—42no—
686C4—44no—
687C4—1224no—
688C4—1228no—
689C4—1224no—
690C4—2442no—
691C4—2444no—
692C4#1683965218yesdirect product factor
693C2—2444no—
694C2C4×#1451973511yescharacteristic
695C2C4×#1451973911yescharacteristic
696C2C42×C22⋊D6111yescharacteristic
697C2C2×#1683965211yescharacteristic
698C2#2144826011yescharacteristic
699C2#2144827811yescharacteristic
700C2#2144831211yescharacteristic
701C2C4×#1451974912yes—
702C2C4×#1451976212yes—
703C2C4×#1451976612yes—
704C2C4×#1451977212yes—
subgroupG/H
centerC23×C4C22×D61
commutatorC22×C61C22×C42
FrattiniC24C23×D61
FittingC2×C4×C4⋊C4×C61C2
socle, cosocleC24×C61C24
prime radicalC24×D61C23
hypercenterC2×C4×C4⋊C4D61
hypocenterC61C4×#388
LCSG ▷ C22×C61 ▷ C61
UCSC1 ◁ C23×C4 ◁ C2×C4×C4⋊C4

Complements

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

NH ≅ G/Ntype
5. C2×C42×Dic61C2semidirect
7. #21444051C2semidirect
8. #21444045C2semidirect
9. C4×#14519684C2semidirect
10. C4×#14519684C2semidirect
11. C2×C4×C4⋊C4×C61C2semidirect
22. #16839652C4direct (N × H)
25. C4×#11758198C4semidirect
77. C2×C4×Dic61C2×C4semidirect
85. #14519684C2×C4semidirect
86. #14519684C2×C4semidirect
94. C2×C4⋊C4×C61C2×C4semidirect
193. #11758198C42semidirect
335. C4×C61#388semidirect
342. C2×C4×C4⋊C4D61semidirect
393. C61C4×#388semidirect
414. C2×C4⋊C4C4×D61semidirect
692. C4#16839652direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#168396522
C2×C4×#117581982
C2×C42×Dic612
#214440552
#214440512
#214440452
C4×#145196842
C2×C4×C4⋊C4×C612
C4×#38861