Finite Group Databasebeta

← C4×#16840760 #30614115

Subgroups — C4×#16840760 #30614115

Order 15616.

1618 conjugacy classes of subgroups.

The subgroup lattice has 688 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16840760C212yesmaximal
2C4×D61⋊M16C211yesmaximal, characteristic, complemented
3C4×#14519856C211yesmaximal, characteristic, complemented
4#21461582C214yesmaximal, complemented
5C4×#14519841C214yesmaximal, complemented
6#21461498C212yesmaximal, complemented
7C2×C4×#11758224C211yesmaximal, characteristic
8C2×D61⋊M16C2212yes—
9C2×#14519856C2212yes—
10#16840760C4116yesdirect product factor
11C2×#14519841C2218yes—
12C4×#11758213C2212yescomplemented
13C4×#11758213C2212yescomplemented
14C4×#11758217—21no—
15C4×#11758217—21no—
16#16840721—21no—
17C4×D61⋊C8—21no—
18C4×C4⋊#6923—21no—
19C4×C4⋊#6923—21no—
20C4×C22⋊#6923—21no—
21C4×C22⋊#6923—21no—
22#16840698C2212yescomplemented
23C42×#6923C2212yescomplemented
24#16840632C2218yescomplemented
25C22×#11758224C2211yescharacteristic
26C4×#11758224—21no—
27C4×#11758224—21no—
28C4×#11758224—21no—
29C4×#11758224—21no—
30C4×#11758224C412yescomplemented
31C4×#11758224C412yescomplemented
32C4×#11758224C2212yes—
33C4×#11758224C2212yes—
34C2×C4×Dic122C411yescharacteristic, complemented
35C2×#14519742C411yescharacteristic, complemented
36C2×D4×Dic61C411yescharacteristic, complemented
37C2×C4×C22⋊D61—21no—
38C2×#14519737—21no—
39C2×#14519735C2211yescharacteristic
40C2×#14519733—21no—
41C22×C4×Dic61—21no—
42C2×C42×D61C2211yescharacteristic
43C2×C4×D4×C61C411yescharacteristic, complemented
44C2×#11758213C2314yes—
45D61⋊M16—24no—
46D61⋊M16C2×C418yescomplemented
47C2×#11758217—22no—
48C2×D61⋊C8—22no—
49#14519856—24no—
50#14519856C2×C418yescomplemented
51C2×C4⋊#6923—22no—
52C2×C22⋊#6923—22no—
53C2×C4×#6923—22no—
54C2×C4×#6923—22no—
55C2×C4×#6923C2314yes—
56#14519841C2×C4132yescomplemented
57#14519832—22no—
58#14519832—22no—
59C4×#92420—22no—
60C4×#92420—22no—
61(C2×#6923)⋊C4—22no—
62(C2×#6923)⋊C4—22no—
63C2×#11758224—21no—
64C2×#11758224—21no—
65C2×#11758224—24no—
66C2×#11758224C2×C418yes—
67C2×#11758224C2×C412yes—
68C2×#11758224C2312yes—
69C22×Dic122C2×C411yescharacteristic
70C22×C22⋊D61—21no—
71C23×Dic61—21no—
72C23×Dic61—21no—
73C22×C4×D61D411yescharacteristic
74C22×C4×D61D411yescharacteristic
75C22×C4×D61C2311yescharacteristic
76C4×Dic122—21no—
77C4×Dic122—21no—
78C4×Dic122C2×C412yes—
79C4×Dic122C2×C412yes—
80#14519742—21no—
81#14519742—21no—
82#14519742C2×C412yes—
83#14519742C2×C412yes—
84D4×Dic61—21no—
85D4×Dic61—21no—
86D4×Dic61C2×C412yes—
87D4×Dic61C2×C412yes—
88C4×C22⋊D61—22no—
89C4×C22⋊D61—22no—
90C4×C22⋊D61—22no—
91C4×C22⋊D61—22no—
92#14519737—22no—
93#14519737—22no—
94#14519737—22no—
95#14519737—22no—
96#14519735—21no—
97#14519735—21no—
98#14519735C2×C412yes—
99#14519735C2312yes—
100#14519733—22no—
101#14519733—22no—
102#14519733—22no—
103#14519733—22no—
104C2×C4⋊Dic61C2×C411yescharacteristic
105C2×#11758196—21no—
106C2×#11758196—21no—
107C2×C22⋊Dic61—21no—
108C2×#11758198—21no—
109C2×C4×Dic61—21no—
110C2×C4×Dic61—21no—
111C2×C4×Dic61—21no—
112C2×C4×Dic61—22no—
113C2×C4×Dic61—22no—
114C2×C4×Dic61—22no—
115C2×C4×Dic61—22no—
116C2×C4×Dic61C2×C411yescharacteristic
117C2×C4×Dic61D411yescharacteristic
118C2×C4×Dic61D411yescharacteristic
119C42×D61C2×C411yescharacteristic
120C42×D61C2×C411yescharacteristic
121C42×D61D411yescharacteristic
122C42×D61D411yescharacteristic
123C42×D61D411yescharacteristic
124C42×D61D411yescharacteristic
125C42×D61C2311yescharacteristic
126C42×D61C2311yescharacteristic
127C22×D4×C61C2×C411yescharacteristic
128C23×C4×C61—21no—
129C4×D4×C61—21no—
130C4×D4×C61—21no—
131C4×D4×C61C2×C412yes—
132C4×D4×C61C2×C412yes—
133C2×C4⋊C4×C61C2×C411yescharacteristic
134C2×C22⋊C4×C61—21no—
135C2×C42×C61C2×C411yescharacteristic
136C24×C61—21no—
137C23×D61C2×D411yescharacteristic
138C22×#6923—24no—
139C2×D4×C61—21no—
140C2×D4×C61—22no—
141C2×D4×C61C4214yescomplemented
142C2×D4×C61C22×C412yes—
143C22×C4×C61—21no—
144C22×C4×C61—22no—
145C22×C4×C61—22no—
146C22×C4×C61—44no—
147C22×C4×C61C22⋊C411yescharacteristic
148C22×C4×C61C22⋊C411yescharacteristic
149C22×C4×C61C22×C411yescharacteristic
150C2×C22⋊D61—22no—
151C2×C22⋊D61—28no—
152C2×C22⋊D61—22no—
153C22×Dic61—21no—
154C22×Dic61—22no—
155C22×Dic61—28no—
156C22×Dic61—22no—
157C22×Dic61—21no—
158C22×Dic61—22no—
159C22×Dic61—22no—
160C22×Dic61—44no—
161C22×Dic61C22⋊C411yescharacteristic
162C22×Dic61C22⋊C411yescharacteristic
163C22×Dic61C2×D411yescharacteristic
164#11758224—24no—
165#11758224—28no—
166#11758224—28no—
167#11758224—24no—
168#11758224C4218yescomplemented
169#11758224C22×C418yes—
170C2×C4×D61—42no—
171C2×C4×D61—42no—
172C2×C4×D61C22⋊C411yescharacteristic
173C2×C4×D61C22⋊C411yescharacteristic
174C2×C4×D61C22⋊C411yescharacteristic
175C2×C4×D61C22⋊C411yescharacteristic
176C2×C4×D61C22×C411yescharacteristic
177C2×C4×D61C22×C414yes—
178C2×C4×D61C2×D411yescharacteristic
179C2×C4×D61C2×D411yescharacteristic
180C2×C4×D61C2×D411yescharacteristic
181C2×C4×D61C2×D411yescharacteristic
182C2×C4×D61C2×D411yescharacteristic
183C2×C4×D61C2×D411yescharacteristic
184C2×C4×D61#4114yes—
185C2×C4×D61C2411yescharacteristic
186C2×Dic122—21no—
187C2×Dic122—22no—
188C2×Dic122C4214yescomplemented
189C2×Dic122C22×C412yes—
190C22⋊#6923—28no—
191#11758217—28no—
192C2×#92420—24no—
193C4⋊#6923—28no—
194C4×#6923—24no—
195C4×#6923—44no—
196C4×#6923—44no—
197C4×#6923C22×C418yescomplemented
198#11758213—24no—
199#11758213C22×C418yescomplemented
200D61⋊C8—28no—
201C4⋊C4×C61—21no—
202C4⋊C4×C61C22×C412yes—
203C22⋊C4×C61—22no—
204C22⋊C4×C61—22no—
205C42×C61C22⋊C411yescharacteristic
206C42×C61C22⋊C411yescharacteristic
207C42×C61C22×C411yescharacteristic
208C42×C61C22×C411yescharacteristic
209C22⋊Dic61—22no—
210C22⋊Dic61—22no—
211#11758198—22no—
212#11758198—22no—
213C4⋊Dic61—21no—
214C4⋊Dic61C22×C412yes—
215#11758196—22no—
216#11758196—22no—
217#11758196—22no—
218#11758196—22no—
219C4×Dic61—22no—
220C4×Dic61—22no—
221C4×Dic61—22no—
222C4×Dic61—22no—
223C4×Dic61—22no—
224C4×Dic61—22no—
225C4×Dic61C22⋊C411yescharacteristic
226C4×Dic61C22⋊C411yescharacteristic
227C4×Dic61C22⋊C411yescharacteristic
228C4×Dic61C22⋊C411yescharacteristic
229C4×Dic61C22⋊C411yescharacteristic
230C4×Dic61C22⋊C411yescharacteristic
231C4×Dic61C22×C411yescharacteristic
232C4×Dic61C22×C411yescharacteristic
233C4×Dic61C2×D411yescharacteristic
234C4×Dic61C2×D411yescharacteristic
235C4×Dic61C2×D411yescharacteristic
236C4×Dic61C2×D411yescharacteristic
237C23×C61—22no—
238C23×C61—24no—
239C23×C61—42no—
240C23×C61—42no—
241C23×C61C2×C22⋊C411yescharacteristic
242C22×D61—41no—
243C22×D61—41no—
244C22×D61C2×C22⋊C411yescharacteristic
245C22×D61C4×D414yes—
246C22×D61C22×D411yescharacteristic
247C2×#6923—28no—
248C2×#6923—44no—
249C2×#6923—44no—
250D4×C61—22no—
251D4×C61—24no—
252D4×C61C2×C4214yes—
253C2×C4×C61—22no—
254C2×C4×C61—22no—
255C2×C4×C61—41no—
256C2×C4×C61—44no—
257C2×C4×C61—42no—
258C2×C4×C61—44no—
259C2×C4×C61C2×C4212yes—
260C2×C4×C61C2×C22⋊C411yescharacteristic
261C2×C4×C61C2×C22⋊C411yescharacteristic
262C2×C4×C61C2×C22⋊C411yescharacteristic
263C2×C4×C61C2×C22⋊C411yescharacteristic
264C2×C4×C61C2×C22⋊C411yescharacteristic
265C2×C4×C61#11712yes—
266C2×C4×C61C23×C411yescharacteristic
267C22⋊D61—28no—
268C22⋊D61—28no—
269C2×Dic61—22no—
270C2×Dic61—24no—
271C2×Dic61—28no—
272C2×Dic61—28no—
273C2×Dic61—22no—
274C2×Dic61—22no—
275C2×Dic61—41no—
276C2×Dic61—44no—
277C2×Dic61—42no—
278C2×Dic61—44no—
279C2×Dic61C2×C22⋊C411yescharacteristic
280C2×Dic61C2×C22⋊C411yescharacteristic
281C2×Dic61C2×C22⋊C411yescharacteristic
282C2×Dic61C2×C22⋊C411yescharacteristic
283C2×Dic61C2×C22⋊C411yescharacteristic
284C2×Dic61C4×D414yes—
285C2×Dic61C22×D411yescharacteristic
286C4×D61—22no—
287C4×D61—22no—
288C4×D61—22no—
289C4×D61—22no—
290C4×D61—41no—
291C4×D61—41no—
292C4×D61—41no—
293C4×D61—41no—
294C4×D61C2×C4212yes—
295C4×D61#11712yes—
296C4×D61C4×D414yes—
297C4×D61C4×D414yes—
298C4×D61C23×C412yes—
299C4×D61C2×#4112yes—
300Dic122—22no—
301Dic122—24no—
302Dic122C2×C4214yes—
303#92420—28no—
304C4×#421—611nomaximal, Sylow
305C22×C61—21no—
306C22×C61—21no—
307C22×C61—24no—
308C22×C61—48no—
309C22×C61—42no—
310C22×C61—42no—
311C22×C61C4×C22⋊C412yes—
312C22×C61C22×C22⋊C411yescharacteristic
313C2×D61—21no—
314C2×D61—21no—
315C2×D61—21no—
316C2×D61—21no—
317C2×D61—44no—
318C2×D61C4×C22⋊C412yes—
319C2×D61C2×C4×D412yes—
320#6923—48no—
321C4×C61—21no—
322C4×C61—21no—
323C4×C61—21no—
324C4×C61—42no—
325C4×C61C4×C22⋊C412yes—
326C4×C61#42112yescomplemented
327C4×C61C22×C4211yescharacteristic
328C4×C61C2×#11711yescharacteristic
329Dic61—21no—
330Dic61—21no—
331Dic61—21no—
332Dic61—24no—
333Dic61—42no—
334Dic61C4×C22⋊C412yes—
335Dic61#42112yescomplemented
336Dic61C2×C4×D412yes—
337C2×C4×#41—611no—
338C2×#421—612no—
339C2×C4×M16—611no—
340C4×#117—611no—
341#1759—614no—
342C4×#104—614no—
343#1733—612no—
344C2×C61—22no—
345C2×C61—44no—
346C2×C61C2×C4×C22⋊C411yescharacteristic
347C2×C61C2×#42111yescharacteristic
348C2×C61C2×#42111yescharacteristic
349D61—22no—
350D61—22no—
351C22×#41—611no—
352C22×M16—612no—
353C4×#41—612no—
354C4×#41—612no—
355C4×#41—612no—
356C4×#41—612no—
357C4×#41—1221no—
358C4×#41—1221no—
359C4×#41—1221no—
360C4×#41—1221no—
361C2×C4×Q8—611no—
362C2×C4×Q8—611no—
363C2×C4×D4—611no—
364C2×C4×D4—1221no—
365C2×C4×D4—1221no—
366C2×C4×D4#692311yescharacteristic, complemented
367C2×#117—612no—
368C2×#117—611no—
369C2×#117—1221no—
370C22×C42—611no—
371C22×C42—1221no—
372#421—6116no—
373C2×#104—618no—
374C4×M16—612no—
375C4×M16—612no—
376C4×M16—1221no—
377C4×M16—1221no—
378C2×#97—1221no—
379C2×C4×C8—1221no—
380C4×C4⋊C4—1221no—
381C4×C4⋊C4—1221no—
382C4×C22⋊C4—1221no—
383C4×C22⋊C4—1221no—
384#376—612no—
385C43—612no—
386#339—618no—
387C61C4×#42111yescharacteristic, complemented, Sylow
388C2×#41—618no—
389C2×#41—612no—
390C2×#41—612no—
391C2×#41—1221no—
392C2×#41—1221no—
393C2×#41—1224no—
394C22×Q8—611no—
395C22×D4—1221no—
396C22×D4C2×#692311yescharacteristic
397C23×C4—21no—
398C23×C4—611no—
399C23×C4—611no—
400C23×C4—611no—
401C23×C4—1221no—
402C23×C4—1221no—
403C2×M16—618no—
404C2×M16—614no—
405C2×M16—1222no—
406C2×M16—1224no—
407C22×C8—1222no—
408C4×Q8—612no—
409C4×Q8—612no—
410C4×Q8—612no—
411C4×Q8—612no—
412C4×Q8—1221no—
413C4×Q8—1221no—
414C4×Q8—1221no—
415C4×Q8—1221no—
416C4×D4—21no—
417C4×D4—21no—
418C4×D4—612no—
419C4×D4—612no—
420C4×D4—1221no—
421C4×D4—1221no—
422C4×D4—1222no—
423C4×D4—1222no—
424C4×D4—1222no—
425C4×D4—1222no—
426C4×D4—1222no—
427C4×D4—1222no—
428C4×D4—1222no—
429C4×D4—1222no—
430C4×D4C2×#692312yes—
431C4×D4C2×#692312yes—
432#117—618no—
433#117—612no—
434#117—612no—
435#117—1222no—
436#117—1222no—
437#117—1222no—
438#117—1222no—
439#117—1221no—
440#117—1221no—
441#117—1224no—
442C2×C4⋊C4—611no—
443C2×C4⋊C4—1221no—
444C2×C4⋊C4—1222no—
445C2×C4⋊C4—1221no—
446C2×C4⋊C4C2×#692311yescharacteristic
447C2×C22⋊C4—21no—
448C2×C22⋊C4—1221no—
449C2×C22⋊C4—1221no—
450C2×C22⋊C4—1222no—
451C2×C42—611no—
452C2×C42—611no—
453C2×C42—611no—
454C2×C42—611no—
455C2×C42—611no—
456C2×C42—611no—
457C2×C42—611no—
458C2×C42—611no—
459C2×C42—611no—
460C2×C42—611no—
461C2×C42—611no—
462C2×C42—614no—
463C2×C42—1222no—
464C2×C42—1222no—
465C2×C42—1222no—
466C2×C42—1222no—
467C2×C42—1221no—
468C2×C42—1221no—
469C2×C42—1221no—
470C2×C42—1222no—
471C2×C42—1222no—
472C2×C42C2×#692311yescharacteristic
473#104—6132no—
474#97—1222no—
475#97—1222no—
476C4×C8—1222no—
477C4×C8—1222no—
478#95—1222no—
479#95—1222no—
480C24—21no—
481C24—611no—
482#41—618no—
483#41—618no—
484#41—1224no—
485#41—1224no—
486#41—1228no—
487#41—1228no—
488C2×Q8—614no—
489C2×Q8—612no—
490C2×Q8—1221no—
491C2×Q8—1222no—
492C2×D4—21no—
493C2×D4—22no—
494C2×D4—1222no—
495C2×D4—1222no—
496C2×D4—1228no—
497C2×D4C4×#692314yescomplemented
498C2×D4C22×#692312yes—
499C22×C4—21no—
500C22×C4—22no—
501C22×C4—22no—
502C22×C4—44no—
503C22×C4—611no—
504C22×C4—614no—
505C22×C4—611no—
506C22×C4—611no—
507C22×C4—614no—
508C22×C4—611no—
509C22×C4—611no—
510C22×C4—611no—
511C22×C4—611no—
512C22×C4—611no—
513C22×C4—611no—
514C22×C4—611no—
515C22×C4—611no—
516C22×C4—611no—
517C22×C4—611no—
518C22×C4—611no—
519C22×C4—611no—
520C22×C4—1222no—
521C22×C4—1222no—
522C22×C4—1228no—
523C22×C4—1222no—
524C22×C4—1222no—
525C22×C4—1221no—
526C22×C4—1224no—
527C22×C4—1221no—
528C22×C4—2442no—
529C22×C4—2442no—
530C22×C4—2444no—
531C22×C4C22⋊#692311yescharacteristic
532C22×C4C22⋊#692311yescharacteristic
533C22×C4C22×#692311yescharacteristic
534M16—618no—
535M16—1224no—
536M16—1228no—
537C2×C8—1224no—
538C2×C8—1228no—
539C4⋊C4—21no—
540C4⋊C4—612no—
541C4⋊C4—1222no—
542C4⋊C4—1222no—
543C4⋊C4—1228no—
544C4⋊C4—1221no—
545C4⋊C4—1222no—
546C4⋊C4—1222no—
547C4⋊C4C22×#692312yes—
548C22⋊C4—22no—
549C22⋊C4—22no—
550C22⋊C4—1222no—
551C22⋊C4—1222no—
552C22⋊C4—1222no—
553C22⋊C4—1222no—
554C22⋊C4—1228no—
555C42—611no—
556C42—611no—
557C42—611no—
558C42—611no—
559C42—611no—
560C42—611no—
561C42—611no—
562C42—611no—
563C42—611no—
564C42—611no—
565C42—611no—
566C42—611no—
567C42—618no—
568C42—1222no—
569C42—1222no—
570C42—1222no—
571C42—1222no—
572C42—1224no—
573C42—1222no—
574C42—1222no—
575C42—2444no—
576C42—2444no—
577C42C22⋊#692311yescharacteristic
578C42C22⋊#692311yescharacteristic
579C42C22×#692311yescharacteristic
580C42C22×#692311yescharacteristic
581C23—22no—
582C23—24no—
583C23—42no—
584C23—42no—
585C23—611no—
586C23—611no—
587C23—614no—
588C23—2441no—
589C23—2441no—
590C23C2×C22⋊#692311yescharacteristic
591Q8—614no—
592Q8—1222no—
593Q8—1224no—
594D4—22no—
595D4—24no—
596D4—1228no—
597D4—1228no—
598D4C2×C4×#692314yes—
599C2×C4—22no—
600C2×C4—22no—
601C2×C4—41no—
602C2×C4—44no—
603C2×C4—42no—
604C2×C4—44no—
605C2×C4—611no—
606C2×C4—611no—
607C2×C4—611no—
608C2×C4—614no—
609C2×C4—612no—
610C2×C4—612no—
611C2×C4—612no—
612C2×C4—612no—
613C2×C4—614no—
614C2×C4—614no—
615C2×C4—611no—
616C2×C4—611no—
617C2×C4—611no—
618C2×C4—1222no—
619C2×C4—1222no—
620C2×C4—1222no—
621C2×C4—1228no—
622C2×C4—1228no—
623C2×C4—1222no—
624C2×C4—1224no—
625C2×C4—1222no—
626C2×C4—1222no—
627C2×C4—1228no—
628C2×C4—1222no—
629C2×C4—2441no—
630C2×C4—2441no—
631C2×C4—2441no—
632C2×C4—2441no—
633C2×C4—2444no—
634C2×C4—2441no—
635C2×C4—2444no—
636C2×C4—2442no—
637C2×C4—2444no—
638C2×C4—2444no—
639C2×C4C2×C4×#692312yes—
640C2×C4C2×C22⋊#692311yescharacteristic
641C2×C4C2×C22⋊#692311yescharacteristic
642C2×C4C2×C22⋊#692311yescharacteristic
643C2×C4C2×C22⋊#692311yescharacteristic
644C2×C4C2×C22⋊#692311yescharacteristic
645C2×C4#1451985612yes—
646C2×C4C23×#692311yescharacteristic
647C8—1228no—
648C22—21no—
649C22—21no—
650C22—24no—
651C22—48no—
652C22—42no—
653C22—42no—
654C22—612no—
655C22—612no—
656C22—1221no—
657C22—1221no—
658C22—1221no—
659C22—1221no—
660C22—2444no—
661C22C4×C22⋊#692312yes—
662C22C22×C22⋊#692311yescharacteristic
663C4—21no—
664C4—21no—
665C4—21no—
666C4—42no—
667C4—612no—
668C4—612no—
669C4—612no—
670C4—1221no—
671C4—1221no—
672C4—1221no—
673C4—1224no—
674C4—2448no—
675C4—2442no—
676C4C4×C22⋊#692312yes—
677C4#1684076012yesdirect product factor
678C4C22×C4×#692311yescharacteristic
679C4C2×#1451985611yescharacteristic
680C2—22no—
681C2—44no—
682C2—1222no—
683C2—1222no—
684C2C2×C4×C22⋊#692311yescharacteristic
685C2C2×#1684076011yescharacteristic
686C2D61⋊#42111yescharacteristic
subgroupG/H
centerC2×C4C2×C22⋊#6923
commutatorC4×C61C22×C42
FrattiniC2×C4C23×#6923
FittingC2×C4×D4×C61C4
socleC22×C61C22×C22⋊C4
prime radicalC22×#11758224C22
cosocleC2×C4×D61C24
hypercenterC2×C4×D4#6923
hypocenterC61C4×#421
LCSG ▷ C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C2×C4 ◁ C2×C42 ◁ C2×C4×D4

Complements

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

NH ≅ G/Ntype
2. C4×D61⋊M16C2semidirect
3. C4×#14519856C2semidirect
4. #21461582C2semidirect
5. C4×#14519841C2semidirect
6. #21461498C2semidirect
10. #16840760C4direct (N × H)
12. C4×#11758213C22semidirect
13. C4×#11758213C22semidirect
22. #16840698C22semidirect
23. C42×#6923C22semidirect
24. #16840632C22semidirect
30. C4×#11758224C4semidirect
31. C4×#11758224C4semidirect
34. C2×C4×Dic122C4semidirect
35. C2×#14519742C4semidirect
36. C2×D4×Dic61C4semidirect
43. C2×C4×D4×C61C4semidirect
46. D61⋊M16C2×C4semidirect
50. #14519856C2×C4semidirect
56. #14519841C2×C4semidirect
141. C2×D4×C61C42semidirect
168. #11758224C42semidirect
188. C2×Dic122C42semidirect
197. C4×#6923C22×C4semidirect
199. #11758213C22×C4semidirect
326. C4×C61#421semidirect
335. Dic61#421semidirect
366. C2×C4×D4#6923semidirect
387. C61C4×#421semidirect
497. C2×D4C4×#6923semidirect
677. C4#16840760direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#168407602
C4×D61⋊M162
C4×#145198562
#214615822
C4×#145198412
#214614982
C2×C4×#117582242
C4×#42161