Finite Group Databasebeta

← C4×#16840755 #30614138

Subgroups — C4×#16840755 #30614138

Order 15616.

1586 conjugacy classes of subgroups.

The subgroup lattice has 670 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16840755C212yesmaximal
2C4×D61⋊M16C211yesmaximal, characteristic
3C4×#14519856C211yesmaximal, characteristic
4#21461591C214yesmaximal, complemented
5C4×#14519840C214yesmaximal, complemented
6#21461506C212yesmaximal
7C2×C4×Q8×D61C211yesmaximal, characteristic
8C2×D61⋊M16C2212yes—
9C2×#14519856C2212yes—
10#16840755C4116yesdirect product factor
11C2×#14519840C2218yes—
12C4×#11758213—21no—
13C4×#11758213—21no—
14C4×#11758217—21no—
15C4×#11758217—21no—
16#16840721C2212yes—
17C4×D61⋊C8C2212yes—
18C4×C4⋊#6923C2212yes—
19C4×C4⋊#6923C2212yes—
20C4×C22⋊#6923—21no—
21C4×C22⋊#6923—21no—
22#16840698—21no—
23C42×#6923—21no—
24#16840635C2218yes—
25C22×Q8×D61C2211yescharacteristic
26C2×Q8×Dic61C411yescharacteristic, complemented
27C2×C4×Dic122—21no—
28C2×C4×Dic122C411yescharacteristic, complemented
29C2×#14519742—21no—
30C2×#14519742C411yescharacteristic, complemented
31C4×Q8×D61—21no—
32C4×Q8×D61—21no—
33C4×Q8×D61—21no—
34C4×Q8×D61—21no—
35C4×Q8×D61C412yescomplemented
36C4×Q8×D61C412yescomplemented
37C4×Q8×D61C2212yes—
38C4×Q8×D61C2212yes—
39C2×C4⋊C4×D61—21no—
40C2×C4⋊C4×D61C2211yescharacteristic
41C2×C42×D61—21no—
42C2×C42×D61C2211yescharacteristic
43C2×C4×Q8×C61C411yescharacteristic, complemented
44C2×#11758213—22no—
45D61⋊M16—24no—
46D61⋊M16C2×C418yes—
47C2×#11758217—22no—
48C2×D61⋊C8C2314yes—
49#14519856—24no—
50#14519856C2×C418yes—
51C2×C4⋊#6923C2314yes—
52C2×C22⋊#6923—22no—
53C2×C4×#6923—22no—
54C2×C4×#6923—22no—
55C2×C4×#6923—22no—
56#14519840C2×C4132yescomplemented
57#14519832—22no—
58#14519832—22no—
59C4×#92420—22no—
60C4×#92420—22no—
61(C2×#6923)⋊C4—22no—
62(C2×#6923)⋊C4—22no—
63C22×Dic122—21no—
64C22×Dic122C2×C411yescharacteristic
65C2×Q8×D61—21no—
66C2×Q8×D61—21no—
67C2×Q8×D61—24no—
68C2×Q8×D61C2×C418yes—
69C2×Q8×D61C2×C412yes—
70C2×Q8×D61C2312yes—
71C22×C4×D61—21no—
72C22×C4×D61—21no—
73C22×C4×D61D411yescharacteristic
74C22×C4×D61D411yescharacteristic
75C22×C4×D61C2311yescharacteristic
76Q8×Dic61—21no—
77Q8×Dic61—21no—
78Q8×Dic61C2×C412yes—
79Q8×Dic61C2×C412yes—
80C4×Dic122—21no—
81C4×Dic122—21no—
82C4×Dic122—22no—
83C4×Dic122—22no—
84C4×Dic122—22no—
85C4×Dic122—22no—
86C4×Dic122C2×C412yes—
87C4×Dic122C2×C412yes—
88#14519742—21no—
89#14519742—21no—
90#14519742—22no—
91#14519742—22no—
92#14519742—22no—
93#14519742—22no—
94#14519742C2×C412yes—
95#14519742C2×C412yes—
96C2×C4⋊Dic61—21no—
97C2×C4⋊Dic61C2×C411yescharacteristic
98C2×#11758196—21no—
99C2×#11758196—21no—
100C2×#11758196—21no—
101C4⋊C4×D61—22no—
102C4⋊C4×D61—22no—
103C4⋊C4×D61—22no—
104C4⋊C4×D61—22no—
105C4⋊C4×D61—21no—
106C4⋊C4×D61—21no—
107C4⋊C4×D61C2×C412yes—
108C4⋊C4×D61C2312yes—
109C2×C4×Dic61—21no—
110C2×C4×Dic61—21no—
111C2×C4×Dic61—21no—
112C2×C4×Dic61C2×C411yescharacteristic
113C2×C4×Dic61D411yescharacteristic
114C2×C4×Dic61D411yescharacteristic
115C42×D61—22no—
116C42×D61—22no—
117C42×D61—22no—
118C42×D61—22no—
119C42×D61C2×C411yescharacteristic
120C42×D61C2×C411yescharacteristic
121C42×D61D411yescharacteristic
122C42×D61D411yescharacteristic
123C42×D61D411yescharacteristic
124C42×D61D411yescharacteristic
125C42×D61C2311yescharacteristic
126C42×D61C2311yescharacteristic
127C22×Q8×C61C2×C411yescharacteristic
128C4×Q8×C61—21no—
129C4×Q8×C61—21no—
130C4×Q8×C61C2×C412yes—
131C4×Q8×C61C2×C412yes—
132C2×C4⋊C4×C61—21no—
133C2×C4⋊C4×C61C2×C411yescharacteristic
134C2×C42×C61—21no—
135C2×C42×C61C2×C411yescharacteristic
136C23×D61C2×D411yescharacteristic
137C22×#6923—24no—
138C2×Q8×C61—21no—
139C2×Q8×C61—22no—
140C2×Q8×C61C4214yescomplemented
141C2×Q8×C61C22×C412yes—
142C22×C4×C61—21no—
143C22×C4×C61—21no—
144C22×C4×C61C22⋊C411yescharacteristic
145C22×C4×C61C22⋊C411yescharacteristic
146C22×C4×C61C22×C411yescharacteristic
147C22×Dic61—21no—
148C22×Dic61—21no—
149C22×Dic61C22⋊C411yescharacteristic
150C22×Dic61C22⋊C411yescharacteristic
151C22×Dic61C2×D411yescharacteristic
152Q8×D61—24no—
153Q8×D61—28no—
154Q8×D61—28no—
155Q8×D61—24no—
156Q8×D61C4218yescomplemented
157Q8×D61C22×C418yes—
158C2×C4×D61—22no—
159C2×C4×D61—28no—
160C2×C4×D61—22no—
161C2×C4×D61—24no—
162C2×C4×D61—22no—
163C2×C4×D61—22no—
164C2×C4×D61—42no—
165C2×C4×D61—44no—
166C2×C4×D61C22⋊C411yescharacteristic
167C2×C4×D61C22⋊C411yescharacteristic
168C2×C4×D61C22⋊C411yescharacteristic
169C2×C4×D61C22⋊C411yescharacteristic
170C2×C4×D61C22×C411yescharacteristic
171C2×C4×D61C22×C414yes—
172C2×C4×D61C2×D411yescharacteristic
173C2×C4×D61C2×D411yescharacteristic
174C2×C4×D61C2×D411yescharacteristic
175C2×C4×D61C2×D411yescharacteristic
176C2×C4×D61C2×D411yescharacteristic
177C2×C4×D61C2×D411yescharacteristic
178C2×C4×D61#4114yes—
179C2×C4×D61C2411yescharacteristic
180C2×Dic122—21no—
181C2×Dic122—22no—
182C2×Dic122—22no—
183C2×Dic122—28no—
184C2×Dic122—22no—
185C2×Dic122C4214yescomplemented
186C2×Dic122C22×C412yes—
187C22⋊#6923—28no—
188#11758217—28no—
189C2×#92420—24no—
190C4⋊#6923—24no—
191C4⋊#6923C22×C418yes—
192C4×#6923—28no—
193C4×#6923—44no—
194C4×#6923—44no—
195#11758213—28no—
196D61⋊C8—24no—
197D61⋊C8C22×C418yes—
198C4⋊C4×C61—22no—
199C4⋊C4×C61—22no—
200C4⋊C4×C61—21no—
201C4⋊C4×C61C22×C412yes—
202C42×C61—22no—
203C42×C61—22no—
204C42×C61C22⋊C411yescharacteristic
205C42×C61C22⋊C411yescharacteristic
206C42×C61C22×C411yescharacteristic
207C42×C61C22×C411yescharacteristic
208C4⋊Dic61—21no—
209C4⋊Dic61—22no—
210C4⋊Dic61—22no—
211C4⋊Dic61C22×C412yes—
212#11758196—22no—
213#11758196—22no—
214#11758196—22no—
215#11758196—22no—
216#11758196—22no—
217#11758196—22no—
218C4×Dic61—22no—
219C4×Dic61—22no—
220C4×Dic61—22no—
221C4×Dic61—22no—
222C4×Dic61—22no—
223C4×Dic61—22no—
224C4×Dic61C22⋊C411yescharacteristic
225C4×Dic61C22⋊C411yescharacteristic
226C4×Dic61C22⋊C411yescharacteristic
227C4×Dic61C22⋊C411yescharacteristic
228C4×Dic61C22⋊C411yescharacteristic
229C4×Dic61C22⋊C411yescharacteristic
230C4×Dic61C22×C411yescharacteristic
231C4×Dic61C22×C411yescharacteristic
232C4×Dic61C2×D411yescharacteristic
233C4×Dic61C2×D411yescharacteristic
234C4×Dic61C2×D411yescharacteristic
235C4×Dic61C2×D411yescharacteristic
236C23×C61C2×C22⋊C411yescharacteristic
237C22×D61—22no—
238C22×D61—22no—
239C22×D61C2×C22⋊C411yescharacteristic
240C22×D61C4×D414yes—
241C22×D61C22×D411yescharacteristic
242C2×#6923—28no—
243C2×#6923—44no—
244C2×#6923—44no—
245Q8×C61—22no—
246Q8×C61—24no—
247Q8×C61C2×C4214yes—
248C2×C4×C61—22no—
249C2×C4×C61—24no—
250C2×C4×C61—22no—
251C2×C4×C61—22no—
252C2×C4×C61—41no—
253C2×C4×C61—42no—
254C2×C4×C61C2×C4212yes—
255C2×C4×C61C2×C22⋊C411yescharacteristic
256C2×C4×C61C2×C22⋊C411yescharacteristic
257C2×C4×C61C2×C22⋊C411yescharacteristic
258C2×C4×C61C2×C22⋊C411yescharacteristic
259C2×C4×C61C2×C22⋊C411yescharacteristic
260C2×C4×C61#11712yes—
261C2×C4×C61C23×C411yescharacteristic
262C2×Dic61—22no—
263C2×Dic61—24no—
264C2×Dic61—22no—
265C2×Dic61—22no—
266C2×Dic61—41no—
267C2×Dic61—42no—
268C2×Dic61C2×C22⋊C411yescharacteristic
269C2×Dic61C2×C22⋊C411yescharacteristic
270C2×Dic61C2×C22⋊C411yescharacteristic
271C2×Dic61C2×C22⋊C411yescharacteristic
272C2×Dic61C2×C22⋊C411yescharacteristic
273C2×Dic61C4×D414yes—
274C2×Dic61C22×D411yescharacteristic
275C4×D61—28no—
276C4×D61—22no—
277C4×D61—22no—
278C4×D61—22no—
279C4×D61—28no—
280C4×D61—22no—
281C4×D61—22no—
282C4×D61—41no—
283C4×D61—41no—
284C4×D61—44no—
285C4×D61—44no—
286C4×D61C2×C4212yes—
287C4×D61#11712yes—
288C4×D61C4×D414yes—
289C4×D61C4×D414yes—
290C4×D61#13714yes—
291C4×D61C23×C412yes—
292C4×D61C2×#4112yes—
293Dic122—22no—
294Dic122—24no—
295Dic122—28no—
296Dic122—28no—
297Dic122C2×C4214yes—
298#92420—28no—
299C4×#419—611nomaximal, Sylow
300C22×C61—21no—
301C22×C61—21no—
302C22×C61C4×C22⋊C412yes—
303C22×C61C22×C22⋊C411yescharacteristic
304C2×D61—21no—
305C2×D61—21no—
306C2×D61—28no—
307C2×D61C4×C22⋊C412yes—
308C2×D61C2×C4×D412yes—
309C2×D61C2×#13712yes—
310C2×D61#57512yes—
311#6923—48no—
312C4×C61—21no—
313C4×C61—21no—
314C4×C61—21no—
315C4×C61—24no—
316C4×C61—42no—
317C4×C61C4×C22⋊C412yes—
318C4×C61#41912yescomplemented
319C4×C61C22×C4211yescharacteristic
320C4×C61C2×#11711yescharacteristic
321Dic61—21no—
322Dic61—21no—
323Dic61—21no—
324Dic61—24no—
325Dic61—42no—
326Dic61C4×C22⋊C412yes—
327Dic61#41912yescomplemented
328Dic61C2×C4×D412yes—
329C22×C4×Q8—611no—
330C2×#419—612no—
331C2×C4×M16—611no—
332C4×#117—611no—
333#1763—614no—
334C4×#103—614no—
335#1736—612no—
336C2×C61—22no—
337C2×C61C2×C4×C22⋊C411yescharacteristic
338C2×C61C2×#41911yescharacteristic
339C2×C61#289611yescharacteristic
340D61—22no—
341D61C4×#13714yes—
342C23×Q8—611no—
343C22×M16—612no—
344C2×C4×Q8—611no—
345C2×C4×Q8—612no—
346C2×C4×Q8—612no—
347C2×C4×Q8—612no—
348C2×C4×Q8—612no—
349C2×C4×Q8—611no—
350C2×C4×Q8—611no—
351C2×C4×Q8—1221no—
352C2×C4×Q8—1221no—
353C2×C4×Q8—1221no—
354C2×C4×Q8—1221no—
355C2×C4×Q8—1221no—
356C2×C4×Q8—1221no—
357C2×C4×Q8#692311yescharacteristic, complemented
358C2×#117—612no—
359C22×C4⋊C4—611no—
360C22×C4⋊C4—1221no—
361C22×C42—611no—
362C22×C42—1221no—
363#419—6116no—
364C2×#103—618no—
365C4×M16—1221no—
366C4×M16—1221no—
367C4×M16—1221no—
368C4×M16—1221no—
369C2×#97—612no—
370C2×C4×C8—612no—
371C4×C4⋊C4—612no—
372C4×C4⋊C4—612no—
373C4×C22⋊C4—1221no—
374C4×C22⋊C4—1221no—
375#376—1221no—
376C43—1221no—
377#340—618no—
378C61C4×#41911yescharacteristic, complemented, Sylow
379C22×Q8—618no—
380C22×Q8—612no—
381C22×Q8—612no—
382C22×Q8—611no—
383C22×Q8—1221no—
384C22×Q8—1221no—
385C22×Q8—1221no—
386C22×Q8—1224no—
387C22×Q8C2×#692311yescharacteristic
388C23×C4—611no—
389C23×C4—611no—
390C23×C4—611no—
391C23×C4—1221no—
392C23×C4—1221no—
393C2×M16—618no—
394C2×M16—1222no—
395C2×M16—1224no—
396C2×M16—1222no—
397C22×C8—614no—
398C4×Q8—21no—
399C4×Q8—21no—
400C4×Q8—612no—
401C4×Q8—612no—
402C4×Q8—612no—
403C4×Q8—612no—
404C4×Q8—612no—
405C4×Q8—612no—
406C4×Q8—1222no—
407C4×Q8—1222no—
408C4×Q8—1222no—
409C4×Q8—1222no—
410C4×Q8—1222no—
411C4×Q8—1222no—
412C4×Q8—1222no—
413C4×Q8—1222no—
414C4×Q8—1221no—
415C4×Q8—1221no—
416C4×Q8—1221no—
417C4×Q8—1221no—
418C4×Q8—1221no—
419C4×Q8—1221no—
420C4×Q8C2×#692312yes—
421C4×Q8C2×#692312yes—
422#117—618no—
423#117—1224no—
424C2×C4⋊C4—21no—
425C2×C4⋊C4—614no—
426C2×C4⋊C4—611no—
427C2×C4⋊C4—612no—
428C2×C4⋊C4—612no—
429C2×C4⋊C4—1221no—
430C2×C4⋊C4—1221no—
431C2×C4⋊C4—1222no—
432C2×C4⋊C4—1222no—
433C2×C4⋊C4—1222no—
434C2×C4⋊C4—1222no—
435C2×C4⋊C4—1221no—
436C2×C4⋊C4—1221no—
437C2×C4⋊C4—1221no—
438C2×C4⋊C4—1221no—
439C2×C4⋊C4C2×#692311yescharacteristic
440C2×C22⋊C4—1222no—
441C2×C42—21no—
442C2×C42—611no—
443C2×C42—611no—
444C2×C42—611no—
445C2×C42—611no—
446C2×C42—611no—
447C2×C42—611no—
448C2×C42—611no—
449C2×C42—611no—
450C2×C42—611no—
451C2×C42—611no—
452C2×C42—611no—
453C2×C42—1222no—
454C2×C42—1222no—
455C2×C42—1222no—
456C2×C42—1222no—
457C2×C42—1221no—
458C2×C42—1221no—
459C2×C42—1222no—
460C2×C42—1221no—
461C2×C42—1222no—
462C2×C42—1222no—
463C2×C42C2×#692311yescharacteristic
464#103—6132no—
465#97—1222no—
466#97—1222no—
467C4×C8—1222no—
468C4×C8—1222no—
469#95—1222no—
470#95—1222no—
471C24—611no—
472C2×Q8—21no—
473C2×Q8—22no—
474C2×Q8—618no—
475C2×Q8—618no—
476C2×Q8—614no—
477C2×Q8—612no—
478C2×Q8—1222no—
479C2×Q8—1222no—
480C2×Q8—1228no—
481C2×Q8—1224no—
482C2×Q8—1224no—
483C2×Q8—1228no—
484C2×Q8—1228no—
485C2×Q8—1221no—
486C2×Q8—1222no—
487C2×Q8C4×#692314yescomplemented
488C2×Q8C22×#692312yes—
489C22×C4—21no—
490C22×C4—21no—
491C22×C4—611no—
492C22×C4—614no—
493C22×C4—611no—
494C22×C4—611no—
495C22×C4—611no—
496C22×C4—614no—
497C22×C4—611no—
498C22×C4—611no—
499C22×C4—611no—
500C22×C4—611no—
501C22×C4—611no—
502C22×C4—611no—
503C22×C4—611no—
504C22×C4—611no—
505C22×C4—611no—
506C22×C4—611no—
507C22×C4—611no—
508C22×C4—1224no—
509C22×C4—1222no—
510C22×C4—1222no—
511C22×C4—1228no—
512C22×C4—1222no—
513C22×C4—1222no—
514C22×C4—1221no—
515C22×C4—1224no—
516C22×C4—1221no—
517C22×C4—2442no—
518C22×C4—2444no—
519C22×C4C22⋊#692311yescharacteristic
520C22×C4C22⋊#692311yescharacteristic
521C22×C4C22×#692311yescharacteristic
522M16—1228no—
523M16—1228no—
524C2×C8—618no—
525C2×C8—1224no—
526C2×C8—1224no—
527C4⋊C4—22no—
528C4⋊C4—22no—
529C4⋊C4—21no—
530C4⋊C4—618no—
531C4⋊C4—612no—
532C4⋊C4—1222no—
533C4⋊C4—1222no—
534C4⋊C4—1222no—
535C4⋊C4—1222no—
536C4⋊C4—1222no—
537C4⋊C4—1222no—
538C4⋊C4—1224no—
539C4⋊C4—1221no—
540C4⋊C4—1222no—
541C4⋊C4—1222no—
542C4⋊C4C22×#692312yes—
543C22⋊C4—1228no—
544C42—22no—
545C42—22no—
546C42—611no—
547C42—611no—
548C42—611no—
549C42—611no—
550C42—611no—
551C42—611no—
552C42—611no—
553C42—611no—
554C42—611no—
555C42—611no—
556C42—611no—
557C42—611no—
558C42—1222no—
559C42—1222no—
560C42—1222no—
561C42—1222no—
562C42—1228no—
563C42—1222no—
564C42—1222no—
565C42—2444no—
566C42—2444no—
567C42C22⋊#692311yescharacteristic
568C42C22⋊#692311yescharacteristic
569C42C22×#692311yescharacteristic
570C42C22×#692311yescharacteristic
571C23—611no—
572C23—611no—
573C23—614no—
574C23—1222no—
575C23—1222no—
576C23C2×C22⋊#692311yescharacteristic
577Q8—22no—
578Q8—24no—
579Q8—614no—
580Q8—1228no—
581Q8—1228no—
582Q8—1222no—
583Q8—1224no—
584Q8C2×C4×#692314yes—
585C2×C4—22no—
586C2×C4—24no—
587C2×C4—22no—
588C2×C4—22no—
589C2×C4—41no—
590C2×C4—42no—
591C2×C4—611no—
592C2×C4—611no—
593C2×C4—611no—
594C2×C4—614no—
595C2×C4—614no—
596C2×C4—612no—
597C2×C4—612no—
598C2×C4—612no—
599C2×C4—612no—
600C2×C4—614no—
601C2×C4—614no—
602C2×C4—611no—
603C2×C4—611no—
604C2×C4—611no—
605C2×C4—1222no—
606C2×C4—1222no—
607C2×C4—1222no—
608C2×C4—1222no—
609C2×C4—1228no—
610C2×C4—1228no—
611C2×C4—1222no—
612C2×C4—1222no—
613C2×C4—1224no—
614C2×C4—1222no—
615C2×C4—1228no—
616C2×C4—1222no—
617C2×C4—2441no—
618C2×C4—2441no—
619C2×C4—2444no—
620C2×C4—2444no—
621C2×C4—2441no—
622C2×C4—2442no—
623C2×C4—2444no—
624C2×C4—2444no—
625C2×C4C2×C4×#692312yes—
626C2×C4C2×C22⋊#692311yescharacteristic
627C2×C4C2×C22⋊#692311yescharacteristic
628C2×C4C2×C22⋊#692311yescharacteristic
629C2×C4C2×C22⋊#692311yescharacteristic
630C2×C4C2×C22⋊#692311yescharacteristic
631C2×C4#1451985612yes—
632C2×C4C23×#692311yescharacteristic
633C8—1228no—
634C22—21no—
635C22—21no—
636C22—612no—
637C22—612no—
638C22—612no—
639C22—612no—
640C22—1228no—
641C22—1221no—
642C22—1221no—
643C22C4×C22⋊#692312yes—
644C22C22×C22⋊#692311yescharacteristic
645C4—21no—
646C4—21no—
647C4—21no—
648C4—24no—
649C4—42no—
650C4—612no—
651C4—612no—
652C4—612no—
653C4—1221no—
654C4—1221no—
655C4—1221no—
656C4—1224no—
657C4—2448no—
658C4—2442no—
659C4C4×C22⋊#692312yes—
660C4#1684075512yesdirect product factor
661C4C22×C4×#692311yescharacteristic
662C4C2×#1451985611yescharacteristic
663C2—22no—
664C2—614no—
665C2—1222no—
666C2C2×C4×C22⋊#692311yescharacteristic
667C2C2×#1684075511yescharacteristic
668C2#2146243911yescharacteristic
subgroupG/H
centerC2×C4C2×C22⋊#6923
commutatorC4×C61C22×C42
FrattiniC2×C4C23×#6923
FittingC2×C4×Q8×C61C4
socleC22×C61C22×C22⋊C4
prime radicalC23×D61C2×D4
cosocleC2×C4×D61C24
hypercenterC2×C4×Q8#6923
hypocenterC61C4×#419
LCSG ▷ C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C2×C4 ◁ C2×C42 ◁ C2×C4×Q8

Complements

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

NH ≅ G/Ntype
4. #21461591C2semidirect
5. C4×#14519840C2semidirect
10. #16840755C4direct (N × H)
26. C2×Q8×Dic61C4semidirect
28. C2×C4×Dic122C4semidirect
30. C2×#14519742C4semidirect
35. C4×Q8×D61C4semidirect
36. C4×Q8×D61C4semidirect
43. C2×C4×Q8×C61C4semidirect
56. #14519840C2×C4semidirect
140. C2×Q8×C61C42semidirect
156. Q8×D61C42semidirect
185. C2×Dic122C42semidirect
318. C4×C61#419semidirect
327. Dic61#419semidirect
357. C2×C4×Q8#6923semidirect
378. C61C4×#419semidirect
487. C2×Q8C4×#6923semidirect
660. C4#16840755direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#168407552
C4×D61⋊M162
C4×#145198562
#214615912
C4×#145198402
#214615062
C2×C4×Q8×D612
C4×#41961