Finite Group Databasebeta

← #29698403

Subgroups — #29698403

Order 15616.

1134 conjugacy classes of subgroups.

The subgroup lattice has 702 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C4×#11758199C211yesmaximal, characteristic
2C2×#16839842C211yesmaximal, characteristic
3C2×#16839842C211yesmaximal, characteristic
4#21448720C211yesmaximal, characteristic, complemented
5D4×#11758196C211yesmaximal, characteristic, complemented
6#21446551C211yesmaximal, characteristic, complemented
7#21446549C211yesmaximal, characteristic, complemented
8#21446069C211yesmaximal, characteristic, complemented
9#21446068C211yesmaximal, characteristic, complemented
10#21446063C211yesmaximal, characteristic, complemented
11#21445977C211yesmaximal, characteristic, complemented
12#21445818C211yesmaximal, characteristic, complemented
13#21445817C211yesmaximal, characteristic, complemented
14#21445680C211yesmaximal, characteristic, complemented
15C61×#1862C211yesmaximal, characteristic, complemented
16C22×#11758199C2211yescharacteristic
17C2×C4×D244C2211yescharacteristic
18C2×D4×Dic61C2211yescharacteristic
19C2×D4×Dic61C2211yescharacteristic
20C2×#14519739C2211yescharacteristic
21C2×#14519739C2211yescharacteristic
22C22×#11758196—21no—
23C2×C4⋊C4×D61—21no—
24C4×#11758199—24no—
25#16839842—24no—
26#16839842C418yescomplemented
27C2×#14519711C2211yescharacteristic
28C2×#14519710C2211yescharacteristic
29C2×#14519710C2211yescharacteristic
30C2×#14519710C2211yescharacteristic
31C2×#14519706C2211yescharacteristic
32C2×#14519699C2211yescharacteristic
33C2×#14519699C2211yescharacteristic
34C2×#14519698C2211yescharacteristic
35C2×#14519697C2211yescharacteristic
36C2×C4×#92418C2211yescharacteristic
37C2×C8×Dic61C2211yescharacteristic
38C2×C8×Dic61C2211yescharacteristic
39#16839661C2211yescharacteristic
40#16839660C2211yescharacteristic
41#16839658C2211yescharacteristic
42#16839636—21no—
43#16839635—21no—
44#16839634—21no—
45#16839633—21no—
46#16839631C2211yescharacteristic
47#16839631C2211yescharacteristic
48#16839621—21no—
49#16839620—21no—
50C4×#11758196C2211yescharacteristic
51#16839525C2211yescharacteristic
52#16839524C2211yescharacteristic
53#16839524C2211yescharacteristic
54#16839516C2211yescharacteristic
55C2×C4×D4×C61C2211yescharacteristic
56C2×#107×C61C2211yescharacteristic
57C2×#102×C61C2211yescharacteristic
58C2×#102×C61C2211yescharacteristic
59C61×#389C2211yescharacteristic
60C61×#340C2211yescharacteristic
61C61×#336C2211yescharacteristic
62C22×D244C2311yescharacteristic
63C23×Dic61—21no—
64C23×Dic61—21no—
65C22×C4×D61—21no—
66C22×C4×D61—21no—
67C22×C4×D61—21no—
68C2×#11758199C2×C414yes—
69C2×#11758199D414yes—
70C2×#11758199Q814yes—
71C22×#92418C2311yescharacteristic
72C22×#92418C2311yescharacteristic
73C4×D244—22no—
74C4×D244—41no—
75D4×Dic61—22no—
76D4×Dic61—22no—
77D4×Dic61—41no—
78D4×Dic61C2×C414yescomplemented
79#14519739—22no—
80#14519739—22no—
81#14519739—41no—
82#14519739C2×C414yescomplemented
83C2×C4⋊Dic61—21no—
84C2×C4⋊Dic61C2311yescharacteristic
85C2×C4⋊Dic61C2311yescharacteristic
86C2×C4⋊Dic61C2311yescharacteristic
87C2×#11758196—21no—
88C2×#11758196—21no—
89C2×#11758196—21no—
90C2×#11758196—21no—
91C2×#11758196—21no—
92C2×#11758196—21no—
93C2×#11758196—44no—
94C2×#11758196D411yescharacteristic
95C2×#11758196D411yescharacteristic
96C4⋊C4×D61—44no—
97C2×C22⋊Dic61—21no—
98C2×C22⋊Dic61—21no—
99C2×#11758198—21no—
100C2×#11758198—21no—
101C2×#11758198—21no—
102C2×C4×Dic61C2311yescharacteristic
103C2×C4×Dic61C2311yescharacteristic
104#14519711—41no—
105#14519710—22no—
106#14519710—22no—
107#14519710C2×C414yescomplemented
108#14519706—22no—
109#14519699—22no—
110#14519699C2×C414yescomplemented
111#14519698—22no—
112#14519697—22no—
113C4×#92418—22no—
114C8×Dic61—22no—
115C8×Dic61C2×C414yescomplemented
116#14519684—21no—
117#14519684—21no—
118#14519684—21no—
119#14519684D411yescharacteristic
120#14519684D411yescharacteristic
121C22×D4×C61C2311yescharacteristic
122C23×C4×C61—21no—
123C22×C8×C61C2311yescharacteristic
124C22×C8×C61C2311yescharacteristic
125C4×D4×C61—22no—
126C4×D4×C61—41no—
127C2×C4⋊C4×C61—21no—
128C2×C4⋊C4×C61C2311yescharacteristic
129C2×C4⋊C4×C61C2311yescharacteristic
130C2×C4⋊C4×C61C2311yescharacteristic
131C2×C22⋊C4×C61—21no—
132C2×C42×C61C2311yescharacteristic
133#107×C61—41no—
134#102×C61—22no—
135#102×C61C2×C414yescomplemented
136#95×C61—21no—
137C24×C61—21no—
138C23×D61—21no—
139C2×D4×C61—21no—
140C2×D4×C61—21no—
141C2×D4×C61—21no—
142C2×D4×C61C22×C412yes—
143C2×D4×C61C2×D412yes—
144C2×D4×C61C2×Q812yes—
145C22×C4×C61—21no—
146C22×C4×C61—21no—
147C22×C4×C61—21no—
148C22×C4×C61—42no—
149C22×C4×C61—42no—
150C22×C4×C61—81no—
151C22×C4×C61C2×D411yescharacteristic
152C22×C4×C61C2×D411yescharacteristic
153C22×C4×C61C2411yescharacteristic
154C22×Dic61—21no—
155C22×Dic61—24no—
156C22×Dic61—21no—
157C22×Dic61—21no—
158C22×Dic61—42no—
159C22×Dic61—42no—
160C22×Dic61—42no—
161C22×Dic61—42no—
162C22×Dic61—81no—
163C22×Dic61C2×D411yescharacteristic
164C22×Dic61C2×D411yescharacteristic
165C22×Dic61C2×D411yescharacteristic
166C22×Dic61C2×D411yescharacteristic
167C2×D244—21no—
168C2×D244—21no—
169C2×D244—21no—
170C2×D244C22×C412yes—
171C2×D244C2×D412yes—
172C2×D244C2×Q812yes—
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—81no—
181C2×C4×D61—81no—
182C2×C8×C61—21no—
183C2×C8×C61—21no—
184C2×C8×C61—21no—
185C2×C8×C61—21no—
186C2×C8×C61—21no—
187C2×C8×C61C22×C412yes—
188C4⋊C4×C61—21no—
189C4⋊C4×C61—21no—
190C4⋊C4×C61—21no—
191C4⋊C4×C61—21no—
192C4⋊C4×C61—21no—
193C4⋊C4×C61—42no—
194C4⋊C4×C61C22×C412yes—
195C22⋊C4×C61—42no—
196C42×C61—21no—
197C42×C61—21no—
198C22⋊Dic61—24no—
199C22⋊Dic61—42no—
200#11758199C4⋊C4116yescomplemented
201#11758198—24no—
202#11758198—42no—
203#11758198—42no—
204C4⋊Dic61—21no—
205C4⋊Dic61—21no—
206C4⋊Dic61—21no—
207C4⋊Dic61—21no—
208C4⋊Dic61—21no—
209C4⋊Dic61—42no—
210C4⋊Dic61C22×C412yes—
211#11758196—22no—
212#11758196—42no—
213#11758196—42no—
214#11758196—42no—
215#11758196—42no—
216#11758196—81no—
217#11758196—81no—
218#11758196D814yescomplemented
219C4×Dic61—21no—
220C4×Dic61—21no—
221C4×Dic61C22×C412yes—
222C4×Dic61#4112yes—
223C2×#92418—21no—
224C2×#92418—21no—
225C2×#92418—21no—
226C2×#92418C22×C412yes—
227C2×#92418C2×D412yes—
228C2×#92418C2×Q812yes—
229C23×C61—22no—
230C23×C61—22no—
231C23×C61—22no—
232C23×C61—41no—
233C23×C61—41no—
234C23×C61—41no—
235C23×C61—41no—
236C23×C61C22×D411yescharacteristic
237C22×D61—22no—
238C22×D61—22no—
239C22×D61—22no—
240C22×D61—41no—
241C22×D61—41no—
242C22×D61—41no—
243C22×D61—41no—
244D4×C61—22no—
245D4×C61—22no—
246D4×C61—22no—
247D4×C61C2×C4⋊C414yescomplemented
248C2×C4×C61—21no—
249C2×C4×C61—21no—
250C2×C4×C61—22no—
251C2×C4×C61—21no—
252C2×C4×C61—21no—
253C2×C4×C61—21no—
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—84no—
263C2×C4×C61C2×D812yes—
264C2×C4×C61C23×C411yescharacteristic
265C2×C4×C61C22×D411yescharacteristic
266C2×C4×C61C22×Q811yescharacteristic
267C2×C4×C61C2×#4111yescharacteristic
268C2×C4×C61H(5,𝔽2)11yescharacteristic
269C2×C4×C612−1+411yescharacteristic
270C2×Dic61—21no—
271C2×Dic61—21no—
272C2×Dic61—21no—
273C2×Dic61—21no—
274C2×Dic61—22no—
275C2×Dic61—21no—
276C2×Dic61—21no—
277C2×Dic61—21no—
278C2×Dic61—41no—
279C2×Dic61—41no—
280C2×Dic61—48no—
281C2×Dic61—41no—
282C2×Dic61—41no—
283C2×Dic61—41no—
284C2×Dic61—41no—
285C2×Dic61—41no—
286C2×Dic61—41no—
287C2×Dic61—84no—
288C2×Dic61C4×D412yes—
289C2×Dic61C4×D412yes—
290C2×Dic61C2×D812yes—
291C2×Dic61C2×D812yes—
292C2×Dic61#13512yes—
293D244—22no—
294D244—22no—
295D244—22no—
296D244C2×C4⋊C414yescomplemented
297C4×D61—48no—
298C4×D61—84no—
299C4×D61—84no—
300C8×C61—22no—
301C8×C61—41no—
302#92418—41no—
303#92418C2×C4⋊C414yescomplemented
304C4⋊C4×D8—611nomaximal, Sylow
305C22×C61—24no—
306C22×C61—42no—
307C22×C61—42no—
308C22×C61—42no—
309C22×C61—42no—
310C22×C61—42no—
311C22×C61—42no—
312C22×C61C2×C4×D411yescharacteristic
313C22×C61D4211yescharacteristic
314C22×C61D4×Q811yescharacteristic
315C22×C61C22×D811yescharacteristic
316C22×C61C2×#13511yescharacteristic
317C22×C61#57611yescharacteristic
318C22×C61#57811yescharacteristic
319C2×D61—24no—
320C2×D61—42no—
321C2×D61—42no—
322C2×D61—42no—
323C2×D61—42no—
324C2×D61—42no—
325C2×D61—42no—
326C4×C61—22no—
327C4×C61—42no—
328C4×C61—41no—
329C4×C61—81no—
330C4×C61—81no—
331C4×C61C22×C4⋊C411yescharacteristic
332C4×C61#52011yescharacteristic
333C4×C61#54711yescharacteristic
334C4×C61#55411yescharacteristic
335Dic61—22no—
336Dic61—22no—
337Dic61—42no—
338Dic61—41no—
339Dic61—81no—
340Dic61—81no—
341Dic61C4×D814yescomplemented
342C2×C4×D8—611no—
343C2×C4×D8—611no—
344C2×C4×D8—611no—
345D4×C4⋊C4—611no—
346D4×C4⋊C4—611no—
347#1942—611no—
348#1942—611no—
349#1862—611no—
350#1862—611no—
351#1862—611no—
352#1862D6111yescharacteristic, complemented
353#1845—611no—
354#1802—611no—
355#1802—611no—
356C8×C4⋊C4—611no—
357C2×C61—44no—
358C2×C61D4×C4⋊C411yescharacteristic
359C2×C61C2×C4×D811yescharacteristic
360C2×C61#295111yescharacteristic
361C2×C61D4×D811yescharacteristic
362C2×C61#328311yescharacteristic
363C2×C61Q8×D811yescharacteristic
364C2×C61#338011yescharacteristic
365D61—44no—
366C22×D8—611no—
367C2×C4×D4—611no—
368C2×C4×D4—611no—
369C2×C4×D4—611no—
370C2×C4×D4—611no—
371C2×C4×D4—611no—
372C2×C4×D4C2×D6111yescharacteristic
373C22×C4⋊C4—1221no—
374C22×C4⋊C4—1221no—
375C4×D8—618no—
376C4×D8—1224no—
377C4×D8—1224no—
378C2×#107—611no—
379C2×#107—611no—
380C2×#107—611no—
381C2×#107—611no—
382C2×#107C2×D6111yescharacteristic
383C2×C4⋊C8—611no—
384C2×#102—611no—
385C2×#102—611no—
386C2×#102—611no—
387C2×#102—611no—
388C2×#102C2×D6111yescharacteristic
389C2×#102C2×D6111yescharacteristic
390C2×C4×C8—611no—
391C2×C4×C8—611no—
392C2×C4×C8—611no—
393#389—611no—
394#389—611no—
395#389—611no—
396#389C2×D6111yescharacteristic
397#385—1221no—
398#385—1221no—
399#385—1221no—
400#385—1221no—
401#384—611no—
402#384—611no—
403#380—1221no—
404#380—1221no—
405C4×C4⋊C4—611no—
406#340—611no—
407#340—611no—
408#340—611no—
409#340C2×D6111yescharacteristic
410#336—611no—
411#336C2×D6111yescharacteristic
412C61C4⋊C4×D811yescharacteristic, complemented, Sylow
413C22×D4—611no—
414C22×D4C22×D6111yescharacteristic
415C23×C4—21no—
416C23×C4—1221no—
417C23×C4—1221no—
418C23×C4—1221no—
419C23×C4—1221no—
420C23×C4—1221no—
421C2×D8—614no—
422C2×D8—614no—
423C2×D8—614no—
424C22×C8—611no—
425C22×C8—611no—
426C22×C8C22×D6111yescharacteristic
427C22×C8C22×D6111yescharacteristic
428C4×D4—22no—
429C4×D4—41no—
430C4×D4—614no—
431C4×D4—614no—
432C4×D4—1222no—
433C4×D4—1222no—
434C4×D4—1222no—
435C4×D4—1222no—
436C4×D4—1222no—
437C4×D4—2441no—
438C4×D4—2441no—
439C4×D4—2441no—
440C2×C4⋊C4—21no—
441C2×C4⋊C4—611no—
442C2×C4⋊C4—611no—
443C2×C4⋊C4—611no—
444C2×C4⋊C4—611no—
445C2×C4⋊C4—611no—
446C2×C4⋊C4—1221no—
447C2×C4⋊C4—1221no—
448C2×C4⋊C4—1221no—
449C2×C4⋊C4—1221no—
450C2×C4⋊C4—1221no—
451C2×C4⋊C4—1221no—
452C2×C4⋊C4—1221no—
453C2×C4⋊C4—2444no—
454C2×C4⋊C4—2444no—
455C2×C4⋊C4C22×D6111yescharacteristic
456C2×C4⋊C4C22×D6111yescharacteristic
457C2×C4⋊C4C22×D6111yescharacteristic
458C2×C22⋊C4—21no—
459C2×C22⋊C4—1221no—
460C2×C22⋊C4—1221no—
461C2×C22⋊C4—1221no—
462C2×C22⋊C4—1221no—
463C2×C22⋊C4—1221no—
464C2×C42—611no—
465C2×C42—611no—
466C2×C42C22×D6111yescharacteristic
467#107—41no—
468#107—614no—
469#107—1222no—
470#107—1222no—
471#107—2441no—
472C4⋊C8—1222no—
473#102—22no—
474#102—614no—
475#102—1222no—
476#102—1222no—
477#102—1222no—
478#102C4×D6114yescomplemented
479C4×C8—614no—
480C4×C8—1222no—
481C4×C8—1222no—
482#95—21no—
483#95—611no—
484#95—611no—
485#95—1221no—
486#95—1221no—
487#95—1221no—
488C24—21no—
489C24—1221no—
490C2×D4—21no—
491C2×D4—21no—
492C2×D4—21no—
493C2×D4—612no—
494C2×D4—612no—
495C2×D4—612no—
496C2×D4—1221no—
497C2×D4—1221no—
498C2×D4—1221no—
499C2×D4C2×C4×D6112yes—
500C2×D4D4×D6112yes—
501C2×D4Q8×D6112yes—
502C22×C4—21no—
503C22×C4—21no—
504C22×C4—21no—
505C22×C4—42no—
506C22×C4—42no—
507C22×C4—81no—
508C22×C4—611no—
509C22×C4—611no—
510C22×C4—611no—
511C22×C4—611no—
512C22×C4—1224no—
513C22×C4—1224no—
514C22×C4—1221no—
515C22×C4—1221no—
516C22×C4—1221no—
517C22×C4—4881no—
518C22×C4—4881no—
519C22×C4—4881no—
520C22×C4—2442no—
521C22×C4—2442no—
522C22×C4—2442no—
523C22×C4—2442no—
524C22×C4—2442no—
525C22×C4—2442no—
526C22×C4—2442no—
527C22×C4—2442no—
528C22×C4—2442no—
529C22×C4—2442no—
530C22×C4D4×D6111yescharacteristic
531C22×C4D4×D6111yescharacteristic
532C22×C4C23×D6111yescharacteristic
533D8—6116no—
534C2×C8—21no—
535C2×C8—21no—
536C2×C8—21no—
537C2×C8—21no—
538C2×C8—21no—
539C2×C8—612no—
540C2×C8—612no—
541C2×C8—612no—
542C2×C8—1221no—
543C2×C8—1221no—
544C2×C8—1221no—
545C2×C8C2×C4×D6112yes—
546C4⋊C4—21no—
547C4⋊C4—21no—
548C4⋊C4—21no—
549C4⋊C4—21no—
550C4⋊C4—21no—
551C4⋊C4—42no—
552C4⋊C4—614no—
553C4⋊C4—612no—
554C4⋊C4—1222no—
555C4⋊C4—1221no—
556C4⋊C4—1221no—
557C4⋊C4—1221no—
558C4⋊C4—1221no—
559C4⋊C4—1221no—
560C4⋊C4—4881no—
561C4⋊C4—4881no—
562C4⋊C4—2442no—
563C4⋊C4—2442no—
564C4⋊C4—2442no—
565C4⋊C4—2442no—
566C4⋊C4—2442no—
567C4⋊C4C2×C4×D6112yes—
568C22⋊C4—42no—
569C22⋊C4—1224no—
570C22⋊C4—1224no—
571C22⋊C4—2442no—
572C22⋊C4—2442no—
573C22⋊C4—2442no—
574C42—21no—
575C42—21no—
576C42—612no—
577C42—612no—
578C42—1221no—
579C42—1221no—
580C23—22no—
581C23—22no—
582C23—22no—
583C23—41no—
584C23—41no—
585C23—41no—
586C23—41no—
587C23—1222no—
588C23—1222no—
589C23—1222no—
590C23—2441no—
591C23—2441no—
592C23—2441no—
593C23—2441no—
594C23C2×D4×D6111yescharacteristic
595D4—22no—
596D4—22no—
597D4—22no—
598D4—614no—
599D4—1222no—
600D4—1222no—
601D4—1222no—
602D4C4⋊C4×D6114yescomplemented
603C2×C4—21no—
604C2×C4—21no—
605C2×C4—22no—
606C2×C4—21no—
607C2×C4—21no—
608C2×C4—21no—
609C2×C4—41no—
610C2×C4—41no—
611C2×C4—41no—
612C2×C4—41no—
613C2×C4—41no—
614C2×C4—41no—
615C2×C4—41no—
616C2×C4—41no—
617C2×C4—84no—
618C2×C4—612no—
619C2×C4—612no—
620C2×C4—612no—
621C2×C4—612no—
622C2×C4—612no—
623C2×C4—1221no—
624C2×C4—1221no—
625C2×C4—1221no—
626C2×C4—1221no—
627C2×C4—1222no—
628C2×C4—1221no—
629C2×C4—1221no—
630C2×C4—1221no—
631C2×C4—4884no—
632C2×C4—4884no—
633C2×C4—4884no—
634C2×C4—2448no—
635C2×C4—2448no—
636C2×C4—2441no—
637C2×C4—2441no—
638C2×C4—2441no—
639C2×C4—2441no—
640C2×C4—2441no—
641C2×C4—2441no—
642C2×C4—2441no—
643C2×C4—2441no—
644C2×C4D8×D6112yes—
645C2×C4C22×C4×D6111yescharacteristic
646C2×C4C2×D4×D6111yescharacteristic
647C2×C4C2×Q8×D6111yescharacteristic
648C2×C4#41×D6111yescharacteristic
649C2×C4#1451982211yescharacteristic
650C2×C4#1451982411yescharacteristic
651C8—22no—
652C8—41no—
653C8—614no—
654C8—2441no—
655C22—24no—
656C22—42no—
657C22—42no—
658C22—42no—
659C22—42no—
660C22—42no—
661C22—42no—
662C22—1224no—
663C22—2442no—
664C22—2442no—
665C22—2442no—
666C22—2442no—
667C22—2442no—
668C22—2442no—
669C22C4×D4×D6111yescharacteristic
670C22#1684039411yescharacteristic
671C22#1684042511yescharacteristic
672C22C2×D8×D6111yescharacteristic
673C22#135×D6111yescharacteristic
674C22#1684056611yescharacteristic
675C22#1684057811yescharacteristic
676C4—22no—
677C4—41no—
678C4—42no—
679C4—81no—
680C4—81no—
681C4—614no—
682C4—1222no—
683C4—1222no—
684C4—4881no—
685C4—4881no—
686C4—2441no—
687C4—2442no—
688C4C2×C4⋊C4×D6111yescharacteristic
689C4#1684024111yescharacteristic
690C4#1684041011yescharacteristic
691C4#1684046611yescharacteristic
692C2—44no—
693C2—2444no—
694C2#2144871711yescharacteristic
695C2C4×D8×D6111yescharacteristic
696C2#2145469111yescharacteristic
697C2#2145748911yescharacteristic
698C2#2145753411yescharacteristic
699C2#2145866911yescharacteristic
700C2#2145868111yescharacteristic
subgroupG/H
centerC23C2×D4×D61
commutatorC2×C4×C61C23×C4
FrattiniC22×C4C23×D61
FittingC61×#1862C2
socleC23×C61C22×D4
prime radicalC22×#11758199C22
cosocleC22×C4×C61C24
hypercenter#1862D61
hypocenterC61C4⋊C4×D8
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C23 ◁ C2×C42 ◁ #1862

Complements

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

NH ≅ G/Ntype
4. #21448720C2semidirect
5. D4×#11758196C2semidirect
6. #21446551C2semidirect
7. #21446549C2semidirect
8. #21446069C2semidirect
9. #21446068C2semidirect
10. #21446063C2semidirect
11. #21445977C2semidirect
12. #21445818C2semidirect
13. #21445817C2semidirect
14. #21445680C2semidirect
15. C61×#1862C2semidirect
26. #16839842C4semidirect
78. D4×Dic61C2×C4semidirect
82. #14519739C2×C4semidirect
107. #14519710C2×C4semidirect
110. #14519699C2×C4semidirect
115. C8×Dic61C2×C4semidirect
135. #102×C61C2×C4semidirect
200. #11758199C4⋊C4semidirect
218. #11758196D8semidirect
247. D4×C61C2×C4⋊C4semidirect
296. D244C2×C4⋊C4semidirect
303. #92418C2×C4⋊C4semidirect
341. Dic61C4×D8semidirect
352. #1862D61semidirect
412. C61C4⋊C4×D8semidirect
478. #102C4×D61semidirect
602. D4C4⋊C4×D61semidirect

Maximal subgroups

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

subgroupindex
C2×C4×#117581992
C2×#168398422
#214487202
D4×#117581962
#214465512
#214465492
#214460692
#214460682
#214460632
#214459772
#214458182
#214458172
#214456802
C61×#18622
C4⋊C4×D861