Finite Group Databasebeta

← C4×#16839980 #29686239

Subgroups — C4×#16839980 #29686239

Order 15616.

1136 conjugacy classes of subgroups.

The subgroup lattice has 708 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16839980C211yesmaximal, characteristic
2C2×C4×#11758201C211yesmaximal, characteristic, complemented
3C2×C4×D488C211yesmaximal, characteristic
4C4×#14519766C211yesmaximal, characteristic, complemented
5C4×#14519739C211yesmaximal, characteristic, complemented
6#21446748C211yesmaximal, characteristic, complemented
7#21446590C211yesmaximal, characteristic, complemented
8#21446462C211yesmaximal, characteristic, complemented
9#21446444C211yesmaximal, characteristic, complemented
10#21446168C211yesmaximal, characteristic
11#21446150C211yesmaximal, characteristic, complemented
12#21445828C211yesmaximal, characteristic, complemented
13C4×#14519706C211yesmaximal, characteristic, complemented
14C4×#14519697C211yesmaximal, characteristic, complemented
15C4×#103×C61C211yesmaximal, characteristic, complemented
16C22×#11758201C2211yescharacteristic
17C22×D488C2211yescharacteristic
18C2×#14519766C2211yescharacteristic
19C2×C4×D244C2211yescharacteristic
20C2×C4×D244C2211yescharacteristic
21C2×#14519739C2211yescharacteristic
22C2×#14519739C2211yescharacteristic
23C2×C42×D61—21no—
24#16839980C418yesdirect product factor
25C4×#11758201—24no—
26C4×D488—24no—
27C2×#14519711C2211yescharacteristic
28C2×#14519708C2211yescharacteristic
29C2×#14519706C2211yescharacteristic
30C2×#14519706C2211yescharacteristic
31C2×#14519701C2211yescharacteristic
32C2×#14519699C2211yescharacteristic
33C2×#14519699C2211yescharacteristic
34C2×#14519697C2211yescharacteristic
35C2×#14519697C2211yescharacteristic
36C2×#14519697C2211yescharacteristic
37C2×C4×#92418C2211yescharacteristic
38#16839669C2211yescharacteristic
39#16839663C2211yescharacteristic
40#16839652—21no—
41#16839652—21no—
42#16839627C2211yescharacteristic
43C4⋊C4×Dic61C2211yescharacteristic
44C4⋊C4×Dic61C2211yescharacteristic
45C4×#11758198—21no—
46C4×#11758198—21no—
47C4×#11758198—21no—
48#16839609—21no—
49#16839609—21no—
50C42×Dic61C2211yescharacteristic
51#16839524C2211yescharacteristic
52#16839524C2211yescharacteristic
53#16839516C2211yescharacteristic
54#16839516C2211yescharacteristic
55C2×C4×Q8×C61C2211yescharacteristic
56C2×#103×C61C2211yescharacteristic
57C2×#103×C61C2211yescharacteristic
58C2×C4×C8×C61C2211yescharacteristic
59C4×C4⋊C4×C61C2211yescharacteristic
60C61×#340C2211yescharacteristic
61C61×#340C2211yescharacteristic
62C22×D244C2311yescharacteristic
63C22×D244C2311yescharacteristic
64C22×C4×D61—21no—
65C22×C4×D61—21no—
66C22×C4×D61—21no—
67C22×C4×D61—21no—
68C2×#11758201—22no—
69C2×#11758201—22no—
70C2×#11758201C2×C414yescomplemented
71C2×D488—22no—
72C2×D488—22no—
73C2×D488C2×C414yes—
74C22×#92418C2311yescharacteristic
75C22×#92418C2311yescharacteristic
76#14519766—22no—
77#14519766C2×C414yescomplemented
78C4×D244—22no—
79C4×D244—22no—
80C4×D244—22no—
81C4×D244D414yes—
82#14519739—22no—
83#14519739—22no—
84#14519739—22no—
85#14519739C2×C414yescomplemented
86C2×C4⋊Dic61C2311yescharacteristic
87C2×C4⋊Dic61C2311yescharacteristic
88C2×#11758198—21no—
89C2×#11758198—21no—
90C2×#11758198—21no—
91C2×#11758198—21no—
92C2×#11758198—21no—
93C2×#11758198—21no—
94C2×#11758198—21no—
95C2×#11758198—21no—
96C2×C4×Dic61—21no—
97C2×C4×Dic61—21no—
98C2×C4×Dic61D411yescharacteristic
99C2×C4×Dic61D411yescharacteristic
100C2×C4×Dic61D411yescharacteristic
101C2×C4×Dic61D411yescharacteristic
102C2×C4×Dic61C2311yescharacteristic
103C2×C4×Dic61C2311yescharacteristic
104C42×D61—44no—
105#14519711—22no—
106#14519708—22no—
107#14519706—22no—
108#14519706C2×C414yescomplemented
109#14519701—22no—
110#14519699—22no—
111#14519699—22no—
112#14519697—22no—
113#14519697—22no—
114#14519697C2×C414yescomplemented
115C4×#92418—22no—
116#14519684—21no—
117#14519684—21no—
118#14519684—21no—
119#14519684—21no—
120#14519684—21no—
121#14519684—21no—
122C22×Q8×C61C2311yescharacteristic
123C22×C8×C61C2311yescharacteristic
124C22×C8×C61C2311yescharacteristic
125C4×Q8×C61—22no—
126C4×Q8×C61—22no—
127C2×C4⋊C4×C61—21no—
128C2×C4⋊C4×C61C2311yescharacteristic
129C2×C4⋊C4×C61C2311yescharacteristic
130C2×C4⋊C4×C61C2311yescharacteristic
131C2×C42×C61—21no—
132C2×C42×C61—21no—
133C2×C42×C61C2311yescharacteristic
134#103×C61—22no—
135#103×C61C2×C414yescomplemented
136C4×C8×C61—22no—
137#95×C61—21no—
138C23×D61—21no—
139C23×D61—21no—
140C2×Q8×C61—21no—
141C2×Q8×C61—21no—
142C2×Q8×C61—21no—
143C2×Q8×C61—21no—
144C2×Q8×C61—21no—
145C2×Q8×C61C22×C412yes—
146C22×C4×C61—21no—
147C22×C4×C61—21no—
148C22×C4×C61—21no—
149C22×C4×C61—21no—
150C22×C4×C61C2×D411yescharacteristic
151C22×C4×C61C2×D411yescharacteristic
152C22×C4×C61C2411yescharacteristic
153C22×Dic61—21no—
154C22×Dic61—21no—
155C22×Dic61C2×D411yescharacteristic
156C22×Dic61C2×D411yescharacteristic
157C22×Dic61C2×D411yescharacteristic
158C22×Dic61C2×D411yescharacteristic
159C2×D244—21no—
160C2×D244—21no—
161C2×D244—21no—
162C2×D244—21no—
163C2×D244—21no—
164C2×D244—21no—
165C2×D244—21no—
166C2×D244—21no—
167C2×D244C22×C412yes—
168C2×D244C22×C412yes—
169C2×D244C2×D412yes—
170C2×D244#4112yes—
171C2×C4×D61—24no—
172C2×C4×D61—24no—
173C2×C4×D61—24no—
174C2×C4×D61—42no—
175C2×C4×D61—42no—
176C2×C4×D61—42no—
177C2×C4×D61—42no—
178C2×C4×D61—42no—
179C2×C4×D61—42no—
180C2×C4×D61—42no—
181C2×C4×D61—42no—
182C2×C4×D61—42no—
183C2×C8×C61—21no—
184C2×C8×C61—21no—
185C2×C8×C61—21no—
186C2×C8×C61—21no—
187C2×C8×C61—21no—
188C2×C8×C61C22×C412yes—
189C4⋊C4×C61—21no—
190C4⋊C4×C61—21no—
191C4⋊C4×C61—21no—
192C4⋊C4×C61—21no—
193C4⋊C4×C61—42no—
194C4⋊C4×C61C22×C412yes—
195C4⋊C4×C61#4112yes—
196C42×C61—42no—
197C42×C61—42no—
198C42×C61C2×D412yes—
199C42×C61#4112yes—
200#11758201—28no—
201#11758198—24no—
202#11758198—24no—
203#11758198—24no—
204#11758198—24no—
205#11758198—24no—
206#11758198—42no—
207#11758198—42no—
208#11758198—42no—
209C4⋊Dic61—21no—
210C4⋊Dic61—21no—
211C4⋊Dic61—21no—
212C4⋊Dic61C2×D412yes—
213C4×Dic61—22no—
214C4×Dic61—22no—
215C4×Dic61—21no—
216C4×Dic61—21no—
217C4×Dic61—22no—
218C4×Dic61—41no—
219C4×Dic61—42no—
220C4×Dic61—42no—
221C4×Dic61C22×C412yes—
222C4×Dic61#4112yes—
223C2×#92418—21no—
224C2×#92418—21no—
225C2×#92418—21no—
226C2×#92418—21no—
227C2×#92418—21no—
228C2×#92418C22×C412yes—
229D488—28no—
230C23×C61C22×D411yescharacteristic
231C22×D61—22no—
232C22×D61—22no—
233C22×D61—22no—
234C22×D61—22no—
235C22×D61—41no—
236C22×D61—41no—
237C22×D61—41no—
238C22×D61—41no—
239C22×D61—41no—
240C22×D61—41no—
241C22×D61—41no—
242C22×D61—41no—
243C22×D61—41no—
244C22×D61—41no—
245Q8×C61—22no—
246Q8×C61—22no—
247Q8×C61—41no—
248Q8×C61—41no—
249C2×C4×C61—21no—
250C2×C4×C61—21no—
251C2×C4×C61—22no—
252C2×C4×C61—22no—
253C2×C4×C61—22no—
254C2×C4×C61—41no—
255C2×C4×C61—41no—
256C2×C4×C61—41no—
257C2×C4×C61—41no—
258C2×C4×C61—41no—
259C2×C4×C61—41no—
260C2×C4×C61—41no—
261C2×C4×C61—41no—
262C2×C4×C61—41no—
263C2×C4×C61#12112yes—
264C2×C4×C61#12112yes—
265C2×C4×C61#13512yes—
266C2×C4×C61AGL(1,ℤ/8)12yes—
267C2×C4×C61C23×C411yescharacteristic
268C2×C4×C61C22×D411yescharacteristic
269C2×C4×C61C2×#4111yescharacteristic
270C2×C4×C61C2×#4111yescharacteristic
271C2×C4×C61C2×#4111yescharacteristic
272C2×C4×C61C2×#4111yescharacteristic
273C2×Dic61—21no—
274C2×Dic61—21no—
275C2×Dic61—21no—
276C2×Dic61—21no—
277C2×Dic61—21no—
278C2×Dic61—21no—
279C2×Dic61—22no—
280C2×Dic61—21no—
281C2×Dic61—21no—
282C2×Dic61—21no—
283C2×Dic61—41no—
284C2×Dic61—41no—
285C2×Dic61—41no—
286C2×Dic61—41no—
287C2×Dic61—41no—
288C2×Dic61C4×D412yes—
289C2×Dic61C4×D412yes—
290C2×Dic61#13512yes—
291D244—22no—
292D244—22no—
293D244—22no—
294D244—22no—
295D244—22no—
296D244—41no—
297D244—41no—
298D244C4×D414yes—
299C4×D61—48no—
300C4×D61—48no—
301C4×D61—48no—
302C4×D61—84no—
303C8×C61—22no—
304C8×C61—41no—
305#92418—22no—
306#92418—41no—
307C4×#463—611nomaximal, Sylow
308C22×C61C2×C4×D411yescharacteristic
309C22×C61C2×#12111yescharacteristic
310C22×C61#52511yescharacteristic
311C22×C61C2×#13511yescharacteristic
312C22×C61C2×#13511yescharacteristic
313C22×C61C2×AGL(1,ℤ/8)11yescharacteristic
314C22×C61#57511yescharacteristic
315C2×D61—24no—
316C2×D61—42no—
317C2×D61—42no—
318C2×D61—42no—
319C2×D61—42no—
320C2×D61—42no—
321C2×D61—42no—
322C2×D61—42no—
323C2×D61—42no—
324C2×D61—42no—
325C2×D61—81no—
326C2×D61—81no—
327C2×D61—81no—
328C2×D61—81no—
329C4×C61—22no—
330C4×C61—42no—
331C4×C61—42no—
332C4×C61—42no—
333C4×C61—81no—
334C4×C61#46314yescomplemented
335C4×C61C2×C4×D411yescharacteristic
336C4×C61C4×#4111yescharacteristic
337C4×C61#52911yescharacteristic
338C4×C61#53211yescharacteristic
339Dic61—22no—
340Dic61—22no—
341Dic61—22no—
342Dic61—41no—
343Dic61—42no—
344Dic61—81no—
345C2×#463—611no—
346C2×C4×SD16—611no—
347C2×C4×D8—611no—
348C4×#124—611no—
349C42×D4—611no—
350#1983—611no—
351#1949—611no—
352#1928—611no—
353#1926—611no—
354#1879—611no—
355#1877—611no—
356#1804—611no—
357C4×C4⋊C8—611no—
358C4×#103D6111yescharacteristic, complemented
359C4×#102—611no—
360C2×C61C4×#12111yescharacteristic
361C2×C61C4×#13511yescharacteristic
362C2×C61C4×AGL(1,ℤ/8)11yescharacteristic
363C2×C61C2×#46311yescharacteristic
364C2×C61#303511yescharacteristic
365C2×C61#310211yescharacteristic
366C2×C61#310511yescharacteristic
367D61—44no—
368D61—82no—
369C22×SD16—611no—
370C22×D8—611no—
371C2×#124—611no—
372C2×C4×Q8C2×D6111yescharacteristic
373C2×C4×D4—611no—
374C2×C4×D4—611no—
375C2×C4×D4—611no—
376C2×C4×D4—611no—
377C22×C42—1221no—
378#463—618no—
379C4×SD16—1224no—
380C4×D8—1224no—
381C2×#107—611no—
382C2×#106—611no—
383C2×C4⋊C8—611no—
384C2×C4⋊C8—611no—
385C2×#103—611no—
386C2×#103C2×D6111yescharacteristic
387C2×#103C2×D6111yescharacteristic
388C2×#102—611no—
389C2×#102—611no—
390C2×#102—611no—
391C2×#102—611no—
392C2×#102—611no—
393C2×C4×C8—611no—
394C2×C4×C8C2×D6111yescharacteristic
395#391—611no—
396#390—611no—
397#388—1221no—
398#388—1221no—
399#382—611no—
400C4×C4⋊C4—611no—
401C4×C4⋊C4—611no—
402C4×C4⋊C4C2×D6111yescharacteristic
403C4×C22⋊C4—1221no—
404C4×C22⋊C4—1221no—
405C4×C22⋊C4—1221no—
406C4×C22⋊C4—1221no—
407C4×C22⋊C4—1221no—
408C43—611no—
409#340—611no—
410#340—611no—
411#340C2×D6111yescharacteristic
412#340C2×D6111yescharacteristic
413#336—611no—
414#336—611no—
415C61C4×#46311yescharacteristic, complemented, Sylow
416C22×Q8C22×D6111yescharacteristic
417C22×D4—611no—
418C22×D4—611no—
419C23×C4—1221no—
420C23×C4—1221no—
421C23×C4—1221no—
422C23×C4—1221no—
423C2×SD16—614no—
424C2×SD16—1222no—
425C2×SD16—1222no—
426C2×D8—614no—
427C2×D8—1222no—
428C2×D8—1222no—
429C22×C8—611no—
430C22×C8—611no—
431C22×C8C22×D6111yescharacteristic
432C22×C8C22×D6111yescharacteristic
433#124—614no—
434#124—1222no—
435C4×Q8—22no—
436C4×Q8—22no—
437C4×D4—614no—
438C4×D4—614no—
439C4×D4—1222no—
440C4×D4—1222no—
441C4×D4—1222no—
442C4×D4—1222no—
443C4×D4—1222no—
444C4×D4—1222no—
445C2×C4⋊C4—21no—
446C2×C4⋊C4—611no—
447C2×C4⋊C4—611no—
448C2×C4⋊C4C22×D6111yescharacteristic
449C2×C4⋊C4C22×D6111yescharacteristic
450C2×C4⋊C4C22×D6111yescharacteristic
451C2×C22⋊C4—1221no—
452C2×C22⋊C4—1221no—
453C2×C22⋊C4—1221no—
454C2×C22⋊C4—1221no—
455C2×C22⋊C4—1221no—
456C2×C22⋊C4—1221no—
457C2×C22⋊C4—1221no—
458C2×C22⋊C4—1221no—
459C2×C42—21no—
460C2×C42—21no—
461C2×C42—611no—
462C2×C42—611no—
463C2×C42—611no—
464C2×C42—611no—
465C2×C42—611no—
466C2×C42—611no—
467C2×C42—1221no—
468C2×C42—1221no—
469C2×C42—2444no—
470C2×C42C22×D6111yescharacteristic
471#107—1222no—
472#106—1222no—
473C4⋊C8—614no—
474C4⋊C8—1222no—
475#103—22no—
476#103—1222no—
477#103C4×D6114yescomplemented
478#102—614no—
479#102—1222no—
480#102—1222no—
481#102—1222no—
482#102—1222no—
483C4×C8—22no—
484C4×C8—1222no—
485#95—21no—
486#95—1221no—
487#95—1221no—
488#95—1221no—
489#95—1221no—
490#95—1221no—
491#95—1221no—
492C24—1221no—
493C24—1221no—
494C2×Q8—21no—
495C2×Q8—21no—
496C2×Q8—21no—
497C2×Q8—21no—
498C2×Q8—21no—
499C2×Q8C2×C4×D6112yes—
500C2×D4—612no—
501C2×D4—612no—
502C2×D4—612no—
503C2×D4—612no—
504C2×D4—1221no—
505C2×D4—1221no—
506C2×D4—1221no—
507C2×D4—1221no—
508C2×D4—1221no—
509C2×D4—1221no—
510C2×D4—1221no—
511C2×D4—1221no—
512C22×C4—21no—
513C22×C4—21no—
514C22×C4—21no—
515C22×C4—21no—
516C22×C4—611no—
517C22×C4—611no—
518C22×C4—611no—
519C22×C4—611no—
520C22×C4—1224no—
521C22×C4—1224no—
522C22×C4—1221no—
523C22×C4—1224no—
524C22×C4—1221no—
525C22×C4—2442no—
526C22×C4—2442no—
527C22×C4—2442no—
528C22×C4—2442no—
529C22×C4—2442no—
530C22×C4—2442no—
531C22×C4—2442no—
532C22×C4—2442no—
533C22×C4—2442no—
534C22×C4D4×D6111yescharacteristic
535C22×C4D4×D6111yescharacteristic
536C22×C4C23×D6111yescharacteristic
537SD16—1228no—
538D8—1228no—
539C2×C8—21no—
540C2×C8—21no—
541C2×C8—21no—
542C2×C8—21no—
543C2×C8—21no—
544C2×C8—612no—
545C2×C8—1221no—
546C2×C8—1221no—
547C2×C8—1221no—
548C2×C8—1221no—
549C2×C8—1221no—
550C2×C8C2×C4×D6112yes—
551C4⋊C4—21no—
552C4⋊C4—21no—
553C4⋊C4—21no—
554C4⋊C4—21no—
555C4⋊C4—42no—
556C4⋊C4—612no—
557C4⋊C4—1221no—
558C4⋊C4—1221no—
559C4⋊C4—1221no—
560C4⋊C4C2×C4×D6112yes—
561C4⋊C4#1175822212yes—
562C22⋊C4—1224no—
563C22⋊C4—1224no—
564C22⋊C4—1224no—
565C22⋊C4—1224no—
566C22⋊C4—1224no—
567C22⋊C4—2442no—
568C22⋊C4—2442no—
569C22⋊C4—2442no—
570C42—42no—
571C42—42no—
572C42—612no—
573C42—612no—
574C42—1222no—
575C42—1221no—
576C42—1221no—
577C42—1222no—
578C42—1222no—
579C42—2441no—
580C42—2442no—
581C42—2442no—
582C42#1175822212yes—
583C42D4×D6112yes—
584C23—1222no—
585C23—1222no—
586C23—1222no—
587C23—1222no—
588C23—2441no—
589C23—2441no—
590C23—2441no—
591C23—2441no—
592C23—2441no—
593C23—2441no—
594C23—2441no—
595C23—2441no—
596C23—2441no—
597C23—2441no—
598C23C2×D4×D6111yescharacteristic
599Q8—22no—
600Q8—22no—
601Q8—41no—
602Q8—41no—
603D4—614no—
604D4—1222no—
605D4—1222no—
606D4—1222no—
607D4—1222no—
608D4—1222no—
609D4—2441no—
610D4—2441no—
611C2×C4—21no—
612C2×C4—21no—
613C2×C4—22no—
614C2×C4—22no—
615C2×C4—22no—
616C2×C4—41no—
617C2×C4—41no—
618C2×C4—41no—
619C2×C4—41no—
620C2×C4—41no—
621C2×C4—41no—
622C2×C4—41no—
623C2×C4—41no—
624C2×C4—41no—
625C2×C4—612no—
626C2×C4—612no—
627C2×C4—612no—
628C2×C4—1221no—
629C2×C4—1221no—
630C2×C4—1221no—
631C2×C4—1221no—
632C2×C4—1221no—
633C2×C4—1221no—
634C2×C4—1222no—
635C2×C4—1221no—
636C2×C4—1221no—
637C2×C4—1221no—
638C2×C4—4884no—
639C2×C4—2448no—
640C2×C4—2448no—
641C2×C4—2441no—
642C2×C4—2441no—
643C2×C4—2441no—
644C2×C4—2441no—
645C2×C4—2441no—
646C2×C4—2448no—
647C2×C4#1451975012yes—
648C2×C4#1451975012yes—
649C2×C4#1451980012yes—
650C2×C4#1451980412yes—
651C2×C4C22×C4×D6111yescharacteristic
652C2×C4C2×D4×D6111yescharacteristic
653C2×C4#41×D6111yescharacteristic
654C2×C4#41×D6111yescharacteristic
655C2×C4C2×#1175822211yescharacteristic
656C2×C4C2×#1175822211yescharacteristic
657C8—22no—
658C8—41no—
659C8—1222no—
660C8—2441no—
661C22—1224no—
662C22—4881no—
663C22—4881no—
664C22—4881no—
665C22—4881no—
666C22—2442no—
667C22—2442no—
668C22—2442no—
669C22—2442no—
670C22—2442no—
671C22—2442no—
672C22—2442no—
673C22—2442no—
674C22—2442no—
675C22C4×D4×D6111yescharacteristic
676C22C2×#1451975011yescharacteristic
677C22#1684027111yescharacteristic
678C22#135×D6111yescharacteristic
679C22C2×#1451980011yescharacteristic
680C22C2×#1451980411yescharacteristic
681C22#1684055911yescharacteristic
682C4—22no—
683C4—42no—
684C4—42no—
685C4—42no—
686C4—81no—
687C4—1222no—
688C4—1222no—
689C4—1222no—
690C4—4881no—
691C4—2442no—
692C4—2441no—
693C4#1683998014yesdirect product factor
694C4C4×D4×D6111yescharacteristic
695C4C4×#1175822211yescharacteristic
696C4#1684029011yescharacteristic
697C4#1684030911yescharacteristic
698C2—4882no—
699C2—2444no—
700C2C4×#1451975011yescharacteristic
701C2C4×#1451980011yescharacteristic
702C2C4×#1451980411yescharacteristic
703C2C2×#1683998011yescharacteristic
704C2#2145527211yescharacteristic
705C2#2145584311yescharacteristic
706C2#2145587011yescharacteristic
subgroupG/H
centerC22×C4D4×D61
commutatorC2×C4×C61C23×C4
FrattiniC22×C4C23×D61
FittingC4×#103×C61C2
socleC23×C61C22×D4
prime radicalC22×D488C22
cosocleC22×C4×C61C24
hypercenterC4×#103D61
hypocenterC61C4×#463
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22×C4 ◁ C2×C42 ◁ C4×#103

Complements

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

NH ≅ G/Ntype
2. C2×C4×#11758201C2semidirect
4. C4×#14519766C2semidirect
5. C4×#14519739C2semidirect
6. #21446748C2semidirect
7. #21446590C2semidirect
8. #21446462C2semidirect
9. #21446444C2semidirect
11. #21446150C2semidirect
12. #21445828C2semidirect
13. C4×#14519706C2semidirect
14. C4×#14519697C2semidirect
15. C4×#103×C61C2semidirect
24. #16839980C4direct (N × H)
70. C2×#11758201C2×C4semidirect
77. #14519766C2×C4semidirect
85. #14519739C2×C4semidirect
108. #14519706C2×C4semidirect
114. #14519697C2×C4semidirect
135. #103×C61C2×C4semidirect
334. C4×C61#463semidirect
358. C4×#103D61semidirect
415. C61C4×#463semidirect
477. #103C4×D61semidirect
693. C4#16839980direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#168399802
C2×C4×#117582012
C2×C4×D4882
C4×#145197662
C4×#145197392
#214467482
#214465902
#214464622
#214464442
#214461682
#214461502
#214458282
C4×#145197062
C4×#145196972
C4×#103×C612
C4×#46361