Finite Group Databasebeta

← #29698685

Subgroups — #29698685

Order 15616.

970 conjugacy classes of subgroups.

The subgroup lattice has 674 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16839834C211yesmaximal, characteristic
2D4×C4⋊Dic61C211yesmaximal, characteristic
3#21446585C211yesmaximal, characteristic, complemented
4#21446577C211yesmaximal, characteristic, complemented
5#21446018C211yesmaximal, characteristic, complemented
6#21446012C211yesmaximal, characteristic, complemented
7#21446006C211yesmaximal, characteristic, complemented
8#21446006C211yesmaximal, characteristic, complemented
9#21445952C211yesmaximal, characteristic, complemented
10#21445850C211yesmaximal, characteristic, complemented
11#21445846C211yesmaximal, characteristic, complemented
12#21445717C211yesmaximal, characteristic, complemented
13#21445540C211yesmaximal, characteristic, complemented
14C2×#16839524C211yesmaximal, characteristic, complemented
15C61×#2352C211yesmaximal, characteristic
16C22×#11758194C2211yescharacteristic
17C23×#92418C2211yescharacteristic
18C2×D4×Dic61—21no—
19C22×C4⋊Dic61C2211yescharacteristic
20C22×C4⋊Dic61C2211yescharacteristic
21#16839834C418yescomplemented
22C2×#14519710C2211yescharacteristic
23C2×#14519710C2211yescharacteristic
24C2×#14519710C2211yescharacteristic
25C2×#14519710C2211yescharacteristic
26C2×#14519708C2211yescharacteristic
27C2×#14519708C2211yescharacteristic
28C2×C4⋊#92418C2211yescharacteristic
29C2×C22⋊#92418C2211yescharacteristic
30C2×C22⋊#92418C2211yescharacteristic
31C2×#14519688C2211yescharacteristic
32#16839661—21no—
33#16839637—21no—
34#16839637—21no—
35#16839632C2211yescharacteristic
36#16839622C2211yescharacteristic
37#16839622C2211yescharacteristic
38C4×C4⋊Dic61C2211yescharacteristic
39#16839524C2211yescharacteristic
40#16839524C2211yescharacteristic
41#16839524C2211yescharacteristic
42#16839524C2211yescharacteristic
43#16839524C2211yescharacteristic
44#16839524C2211yescharacteristic
45#16839524C2211yescharacteristic
46#16839524C2211yescharacteristic
47#16839524C2211yescharacteristic
48#16839524C2211yescharacteristic
49C2×C4×D4×C61C2211yescharacteristic
50C2×#117×C61C2211yescharacteristic
51C22×C4⋊C4×C61C2211yescharacteristic
52C61×#388—21no—
53C61×#387—21no—
54C61×#386—21no—
55C61×#382C2211yescharacteristic
56C61×#380C2211yescharacteristic
57C61×#380C2211yescharacteristic
58C4×C4⋊C4×C61C2211yescharacteristic
59C4×C22⋊C4×C61—21no—
60C23×Dic61—21no—
61C23×Dic61—21no—
62C2×#11758194—41no—
63C2×#11758194—41no—
64C2×#11758194C2×C414yescomplemented
65C22×#92418—41no—
66C22×#92418—41no—
67C22×#92418C2×C414yescomplemented
68C22×#92418C2311yescharacteristic
69C22×#92418C2311yescharacteristic
70C22×#92418C2311yescharacteristic
71C22×#92418C2311yescharacteristic
72D4×Dic61—44no—
73C2×C4⋊Dic61—22no—
74C2×C4⋊Dic61—22no—
75C2×C4⋊Dic61—21no—
76C2×C4⋊Dic61—21no—
77C2×C4⋊Dic61—21no—
78C2×C4⋊Dic61—21no—
79C2×C4⋊Dic61—41no—
80C2×C4⋊Dic61—41no—
81C2×C4⋊Dic61C2311yescharacteristic
82C2×C4⋊Dic61C2311yescharacteristic
83C2×C4⋊Dic61C2311yescharacteristic
84C2×C4⋊Dic61C2311yescharacteristic
85C2×C22⋊Dic61—21no—
86C2×C22⋊Dic61—21no—
87C2×C4×Dic61—21no—
88#14519710—22no—
89#14519710—41no—
90#14519710—41no—
91#14519710—41no—
92#14519708—22no—
93#14519708—41no—
94C4⋊#92418C2×C414yescomplemented
95C22⋊#92418C2×C414yescomplemented
96C22⋊#92418C2×C414yescomplemented
97#14519688C2×C414yescomplemented
98#14519684—21no—
99#14519684—21no—
100#14519684—21no—
101C22×D4×C61D411yescharacteristic
102C23×C4×C61—21no—
103C23×C4×C61C2311yescharacteristic
104C23×C4×C61C2311yescharacteristic
105C4×D4×C61C2×C414yes—
106C4×D4×C61Q814yes—
107#117×C61—22no—
108#117×C61—41no—
109C2×C4⋊C4×C61—22no—
110C2×C4⋊C4×C61—21no—
111C2×C4⋊C4×C61—41no—
112C2×C4⋊C4×C61D411yescharacteristic
113C2×C4⋊C4×C61C2311yescharacteristic
114C2×C4⋊C4×C61C2311yescharacteristic
115C2×C4⋊C4×C61C2311yescharacteristic
116C2×C4⋊C4×C61C2311yescharacteristic
117C2×C22⋊C4×C61—21no—
118C2×C22⋊C4×C61—21no—
119C2×C22⋊C4×C61—21no—
120C2×C22⋊C4×C61D411yescharacteristic
121C2×C22⋊C4×C61D411yescharacteristic
122C2×C42×C61—21no—
123C2×C42×C61—21no—
124C2×C42×C61C2311yescharacteristic
125#95×C61—21no—
126#95×C61—21no—
127#95×C61—21no—
128#95×C61—21no—
129#95×C61—21no—
130C24×C61C2×D411yescharacteristic
131C24×C61C2×D411yescharacteristic
132C2×D4×C61—22no—
133C2×D4×C61—22no—
134C2×D4×C61C4⋊C414yes—
135C22×C4×C61—21no—
136C22×C4×C61—21no—
137C22×C4×C61—21no—
138C22×C4×C61—21no—
139C22×C4×C61—21no—
140C22×C4×C61—21no—
141C22×C4×C61—21no—
142C22×C4×C61—21no—
143C22×C4×C61—21no—
144C22×C4×C61—21no—
145C22×C4×C61—21no—
146C22×C4×C61—21no—
147C22×C4×C61—42no—
148C22×C4×C61—42no—
149C22×C4×C61—81no—
150C22×C4×C61C22×C412yes—
151C22×C4×C61C22×C412yes—
152C22×C4×C61C2×D411yescharacteristic
153C22×C4×C61C2×D411yescharacteristic
154C22×C4×C61C2×D411yescharacteristic
155C22×C4×C61C2×D411yescharacteristic
156C22×C4×C61C2×Q812yes—
157C22×C4×C61C2×Q812yes—
158C22×C4×C61C2411yescharacteristic
159C22×Dic61—21no—
160C22×Dic61—21no—
161C22×Dic61—21no—
162C22×Dic61—21no—
163C22×Dic61—42no—
164C22×Dic61—42no—
165C22×Dic61—42no—
166C22×Dic61—42no—
167C22×Dic61—81no—
168C22×Dic61—81no—
169C4⋊C4×C61—21no—
170C4⋊C4×C61—21no—
171C4⋊C4×C61—21no—
172C4⋊C4×C61—21no—
173C4⋊C4×C61—21no—
174C4⋊C4×C61—21no—
175C4⋊C4×C61—21no—
176C4⋊C4×C61—42no—
177C4⋊C4×C61C4⋊C414yes—
178C4⋊C4×C61#4112yes—
179C22⋊C4×C61—42no—
180C22⋊C4×C61—42no—
181C22⋊C4×C61—81no—
182C22⋊C4×C61C4⋊C414yes—
183C22⋊C4×C61C4⋊C414yes—
184C42×C61—42no—
185C42×C61—81no—
186C42×C61C22×C412yes—
187C42×C61C2×Q812yes—
188C22⋊Dic61—42no—
189C22⋊Dic61—42no—
190C4⋊Dic61—21no—
191C4⋊Dic61—21no—
192C4⋊Dic61—21no—
193C4⋊Dic61—21no—
194C4⋊Dic61—21no—
195C4⋊Dic61—21no—
196C4⋊Dic61—21no—
197C4⋊Dic61—42no—
198C4⋊Dic61—42no—
199C4⋊Dic61—42no—
200C4⋊Dic61—81no—
201C4⋊Dic61#4112yes—
202C4×Dic61—42no—
203#11758194—44no—
204C2×#92418—21no—
205C2×#92418—21no—
206C2×#92418—21no—
207C2×#92418—21no—
208C2×#92418—21no—
209C2×#92418—21no—
210C2×#92418—21no—
211C2×#92418—21no—
212C2×#92418—44no—
213C2×#92418C22×C412yes—
214C2×#92418C22×C412yes—
215C2×#92418C22×C412yes—
216C2×#92418C22×C412yes—
217C23×C61—21no—
218C23×C61—21no—
219C23×C61—21no—
220C23×C61—21no—
221C23×C61—21no—
222C23×C61—21no—
223C23×C61—21no—
224C23×C61—21no—
225C23×C61—21no—
226C23×C61—21no—
227C23×C61C2×C4⋊C412yes—
228C23×C61C2×C4⋊C412yes—
229C23×C61AGL(1,ℤ/8)12yes—
230C23×C61#13712yes—
231C23×C61C22×D411yescharacteristic
232D4×C61—28no—
233C2×C4×C61—21no—
234C2×C4×C61—21no—
235C2×C4×C61—21no—
236C2×C4×C61—21no—
237C2×C4×C61—21no—
238C2×C4×C61—21no—
239C2×C4×C61—21no—
240C2×C4×C61—21no—
241C2×C4×C61—22no—
242C2×C4×C61—22no—
243C2×C4×C61—22no—
244C2×C4×C61—22no—
245C2×C4×C61—22no—
246C2×C4×C61—22no—
247C2×C4×C61—22no—
248C2×C4×C61—22no—
249C2×C4×C61—22no—
250C2×C4×C61—41no—
251C2×C4×C61—41no—
252C2×C4×C61—41no—
253C2×C4×C61—41no—
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—84no—
262C2×C4×C61C2×C4⋊C412yes—
263C2×C4×C61C2×C4⋊C412yes—
264C2×C4×C61C2×C4⋊C412yes—
265C2×C4×C61C2×C4⋊C412yes—
266C2×C4×C61C23×C411yescharacteristic
267C2×C4×C61C22×Q811yescharacteristic
268C2×C4×C61C2×#4111yescharacteristic
269C2×C4×C61C2×#4111yescharacteristic
270C2×C4×C61H(5,𝔽2)11yescharacteristic
271C2×C4×C61H(5,𝔽2)11yescharacteristic
272C2×Dic61—22no—
273C2×Dic61—41no—
274C2×Dic61—41no—
275C2×Dic61—41no—
276C2×Dic61—41no—
277C2×Dic61—41no—
278C2×Dic61—41no—
279C2×Dic61—41no—
280C2×Dic61—41no—
281C2×Dic61—41no—
282C2×Dic61—41no—
283C2×Dic61—41no—
284C2×Dic61—84no—
285C2×Dic61—84no—
286#92418—22no—
287#92418—22no—
288#92418—22no—
289#92418—22no—
290#22709—611nomaximal, Sylow
291C22×C61—22no—
292C22×C61—22no—
293C22×C61—22no—
294C22×C61—22no—
295C22×C61—22no—
296C22×C61—22no—
297C22×C61—22no—
298C22×C61—22no—
299C22×C61—22no—
300C22×C61—41no—
301C22×C61—41no—
302C22×C61—41no—
303C22×C61—41no—
304C22×C61#42814yes—
305C22×C61C22×C4⋊C411yescharacteristic
306C22×C61#54611yescharacteristic
307C22×C61#54611yescharacteristic
308C22×C61C2×AGL(1,ℤ/8)11yescharacteristic
309C22×C61C2×#13711yescharacteristic
310C22×C61#57611yescharacteristic
311C22×C61#57811yescharacteristic
312C4×C61—22no—
313C4×C61—22no—
314C4×C61—22no—
315C4×C61—22no—
316C4×C61—42no—
317C4×C61—81no—
318C4×C61—81no—
319C4×C61—81no—
320C4×C61C4×#4111yescharacteristic
321C4×C61#51811yescharacteristic
322C4×C61#55411yescharacteristic
323C4×C61#55411yescharacteristic
324Dic61—42no—
325Dic61—81no—
326Dic61—81no—
327Dic61—81no—
328C2×#435—611no—
329#2352D6111yescharacteristic
330D4×C4⋊C4—611no—
331#1949—611no—
332#1947—611no—
333#1854—611no—
334#1853—611no—
335#1852—611no—
336#1852—611no—
337#1836—611no—
338#1809—611no—
339#1808—611no—
340#1776—611no—
341#1736—611no—
342C2×#340—611no—
343C2×C61—24no—
344C2×C61—42no—
345C2×C61#234911yescharacteristic
346C2×C61C2×#42811yescharacteristic
347C2×C61#291311yescharacteristic
348C2×C61#330811yescharacteristic
349C2×C61#331211yescharacteristic
350C2×C61#331411yescharacteristic
351C2×C61#331811yescharacteristic
352C22×M16—611no—
353C23×C8—611no—
354C2×C4×D4—1221no—
355C2×C4×D4C2×D6111yescharacteristic
356C2×#117C2×D6111yescharacteristic
357C22×C4⋊C4—611no—
358C22×C4⋊C4—611no—
359C22×C4⋊C4C2×D6111yescharacteristic
360#435—618no—
361C2×#107—611no—
362C2×#107—611no—
363C2×#107—611no—
364C2×#107—611no—
365C2×#106—611no—
366C2×#106—611no—
367C2×C4⋊C8—611no—
368C2×C22⋊C8—611no—
369C2×C22⋊C8—611no—
370C2×#97—611no—
371#389—1221no—
372#388—21no—
373#387—21no—
374#386—21no—
375#385—1221no—
376#385—1221no—
377#384—611no—
378#382C2×D6111yescharacteristic
379#380—611no—
380#380—611no—
381#380C2×D6111yescharacteristic
382#380C2×D6111yescharacteristic
383C4×C4⋊C4—611no—
384C4×C4⋊C4C2×D6111yescharacteristic
385C4×C22⋊C4—21no—
386#340—611no—
387#340—611no—
388#340—611no—
389#340—611no—
390#340—611no—
391#340—611no—
392#340—611no—
393#340—611no—
394#340—611no—
395#340—611no—
396C61#2270911yescharacteristic, complemented, Sylow
397C22×D4C22⋊D6111yescharacteristic
398C23×C4—21no—
399C23×C4—1221no—
400C23×C4—1221no—
401C23×C4C22×D6111yescharacteristic
402C23×C4C22×D6111yescharacteristic
403C2×M16—614no—
404C2×M16—2441no—
405C2×M16—2441no—
406C22×C8—611no—
407C22×C8—611no—
408C22×C8—611no—
409C22×C8—611no—
410C22×C8—614no—
411C22×C8—2441no—
412C22×C8—2441no—
413C4×D4—2444no—
414C4×D4Dic12214yes—
415C4×D4C4×D6114yes—
416#117—22no—
417#117—41no—
418C2×C4⋊C4—22no—
419C2×C4⋊C4—21no—
420C2×C4⋊C4—41no—
421C2×C4⋊C4—611no—
422C2×C4⋊C4—611no—
423C2×C4⋊C4—611no—
424C2×C4⋊C4—611no—
425C2×C4⋊C4—1222no—
426C2×C4⋊C4—1222no—
427C2×C4⋊C4—1221no—
428C2×C4⋊C4—1221no—
429C2×C4⋊C4—1221no—
430C2×C4⋊C4—1221no—
431C2×C4⋊C4—2441no—
432C2×C4⋊C4—2441no—
433C2×C4⋊C4C22⋊D6111yescharacteristic
434C2×C4⋊C4C22×D6111yescharacteristic
435C2×C4⋊C4C22×D6111yescharacteristic
436C2×C4⋊C4C22×D6111yescharacteristic
437C2×C4⋊C4C22×D6111yescharacteristic
438C2×C22⋊C4—21no—
439C2×C22⋊C4—21no—
440C2×C22⋊C4—21no—
441C2×C22⋊C4—1221no—
442C2×C22⋊C4—1221no—
443C2×C22⋊C4C22⋊D6111yescharacteristic
444C2×C22⋊C4C22⋊D6111yescharacteristic
445C2×C42—21no—
446C2×C42—21no—
447C2×C42—1221no—
448C2×C42C22×D6111yescharacteristic
449#107—1222no—
450#107—2441no—
451#107—2441no—
452#107—2441no—
453#106—1222no—
454#106—2441no—
455C4⋊C8—614no—
456C22⋊C8—614no—
457C22⋊C8—614no—
458#97—614no—
459#95—21no—
460#95—21no—
461#95—21no—
462#95—21no—
463#95—21no—
464#95—1221no—
465#95—1221no—
466#95—1221no—
467C24C2×C22⋊D6111yescharacteristic
468C24C2×C22⋊D6111yescharacteristic
469C2×D4—22no—
470C2×D4—22no—
471C2×D4#1175819614yes—
472C22×C4—21no—
473C22×C4—21no—
474C22×C4—21no—
475C22×C4—21no—
476C22×C4—21no—
477C22×C4—21no—
478C22×C4—21no—
479C22×C4—21no—
480C22×C4—21no—
481C22×C4—21no—
482C22×C4—21no—
483C22×C4—21no—
484C22×C4—42no—
485C22×C4—42no—
486C22×C4—81no—
487C22×C4—1221no—
488C22×C4—1221no—
489C22×C4—1221no—
490C22×C4—1221no—
491C22×C4—4881no—
492C22×C4—4881no—
493C22×C4—2442no—
494C22×C4—2442no—
495C22×C4—2442no—
496C22×C4—2442no—
497C22×C4C2×Dic12212yes—
498C22×C4C2×Dic12212yes—
499C22×C4C2×C4×D6112yes—
500C22×C4C2×C4×D6112yes—
501C22×C4C2×C22⋊D6111yescharacteristic
502C22×C4C2×C22⋊D6111yescharacteristic
503C22×C4C2×C22⋊D6111yescharacteristic
504C22×C4C2×C22⋊D6111yescharacteristic
505C22×C4C23×D6111yescharacteristic
506M16—2444no—
507C2×C8—612no—
508C2×C8—612no—
509C2×C8—612no—
510C2×C8—612no—
511C2×C8—1221no—
512C2×C8—1221no—
513C2×C8—1221no—
514C2×C8—1221no—
515C2×C8—1221no—
516C2×C8—1221no—
517C2×C8—1221no—
518C2×C8—1221no—
519C2×C8—2444no—
520C4⋊C4—21no—
521C4⋊C4—21no—
522C4⋊C4—21no—
523C4⋊C4—21no—
524C4⋊C4—21no—
525C4⋊C4—21no—
526C4⋊C4—21no—
527C4⋊C4—42no—
528C4⋊C4—612no—
529C4⋊C4—1221no—
530C4⋊C4—1221no—
531C4⋊C4—1221no—
532C4⋊C4—1221no—
533C4⋊C4—1221no—
534C4⋊C4—1221no—
535C4⋊C4—1221no—
536C4⋊C4—4881no—
537C4⋊C4—2442no—
538C4⋊C4—2442no—
539C4⋊C4—2442no—
540C4⋊C4#1175819614yes—
541C4⋊C4#1175822412yes—
542C22⋊C4—42no—
543C22⋊C4—42no—
544C22⋊C4—81no—
545C22⋊C4—2442no—
546C22⋊C4—2442no—
547C22⋊C4#1175819614yes—
548C22⋊C4#1175819614yes—
549C42—42no—
550C42—81no—
551C42—2442no—
552C42C2×Dic12212yes—
553C42C2×C4×D6112yes—
554C23—21no—
555C23—21no—
556C23—21no—
557C23—21no—
558C23—21no—
559C23—21no—
560C23—21no—
561C23—21no—
562C23—21no—
563C23—21no—
564C23C2×#1175819612yes—
565C23C2×#1175819612yes—
566C23#1451980212yes—
567C23#1451980712yes—
568C23C22×C22⋊D6111yescharacteristic
569D4—28no—
570C2×C4—21no—
571C2×C4—21no—
572C2×C4—21no—
573C2×C4—21no—
574C2×C4—21no—
575C2×C4—21no—
576C2×C4—21no—
577C2×C4—21no—
578C2×C4—22no—
579C2×C4—22no—
580C2×C4—22no—
581C2×C4—22no—
582C2×C4—22no—
583C2×C4—22no—
584C2×C4—22no—
585C2×C4—22no—
586C2×C4—22no—
587C2×C4—41no—
588C2×C4—41no—
589C2×C4—41no—
590C2×C4—41no—
591C2×C4—41no—
592C2×C4—41no—
593C2×C4—41no—
594C2×C4—41no—
595C2×C4—41no—
596C2×C4—41no—
597C2×C4—41no—
598C2×C4—84no—
599C2×C4—1222no—
600C2×C4—4884no—
601C2×C4—4884no—
602C2×C4—2441no—
603C2×C4—2441no—
604C2×C4—2441no—
605C2×C4—2441no—
606C2×C4—2441no—
607C2×C4—2441no—
608C2×C4—2441no—
609C2×C4—2441no—
610C2×C4—2441no—
611C2×C4—2441no—
612C2×C4—2441no—
613C2×C4C2×#1175819612yes—
614C2×C4C2×#1175819612yes—
615C2×C4C2×#1175819612yes—
616C2×C4C2×#1175819612yes—
617C2×C4C22×C4×D6111yescharacteristic
618C2×C4C22×Dic12211yescharacteristic
619C2×C4#41×D6111yescharacteristic
620C2×C4C2×#1175822411yescharacteristic
621C2×C4#1451982211yescharacteristic
622C2×C4#1451982311yescharacteristic
623C8—1222no—
624C8—1222no—
625C8—1222no—
626C8—1222no—
627C22—22no—
628C22—22no—
629C22—22no—
630C22—22no—
631C22—22no—
632C22—22no—
633C22—22no—
634C22—22no—
635C22—22no—
636C22—41no—
637C22—41no—
638C22—41no—
639C22—41no—
640C22#1683980514yes—
641C22C22×#1175819611yescharacteristic
642C22#1684040011yescharacteristic
643C22#1684040611yescharacteristic
644C22C2×#1451980211yescharacteristic
645C22C2×#1451980711yescharacteristic
646C22#1684056511yescharacteristic
647C22#1684057711yescharacteristic
648C4—22no—
649C4—22no—
650C4—22no—
651C4—22no—
652C4—42no—
653C4—81no—
654C4—81no—
655C4—81no—
656C4—4881no—
657C4—4881no—
658C4—4881no—
659C4—2442no—
660C4C4×#1175822411yescharacteristic
661C4#1684023411yescharacteristic
662C4#1684046911yescharacteristic
663C4#1684047111yescharacteristic
664C2—24no—
665C2—42no—
666C2#2144872411yescharacteristic
667C2C2×#1683980511yescharacteristic
668C2#2145441711yescharacteristic
669C2#2145781011yescharacteristic
670C2#2145786411yescharacteristic
671C2#2145790011yescharacteristic
672C2#2145795411yescharacteristic
subgroupG/H
centerC23C22×C22⋊D61
commutatorC2×C4×C61C23×C4
FrattiniC22×C4C23×D61
FittingC61×#2352C2
socleC23×C61C22×D4
prime radicalC22×D4×C61D4
cosocleC22×C4×C61C24
hypercenter#2352D61
hypocenterC61#22709
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C23 ◁ C2×C4×D4 ◁ #2352

Complements

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

NH ≅ G/Ntype
3. #21446585C2semidirect
4. #21446577C2semidirect
5. #21446018C2semidirect
6. #21446012C2semidirect
7. #21446006C2semidirect
8. #21446006C2semidirect
9. #21445952C2semidirect
10. #21445850C2semidirect
11. #21445846C2semidirect
12. #21445717C2semidirect
13. #21445540C2semidirect
14. C2×#16839524C2semidirect
21. #16839834C4semidirect
64. C2×#11758194C2×C4semidirect
67. C22×#92418C2×C4semidirect
94. C4⋊#92418C2×C4semidirect
95. C22⋊#92418C2×C4semidirect
96. C22⋊#92418C2×C4semidirect
97. #14519688C2×C4semidirect
396. C61#22709semidirect

Maximal subgroups

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

subgroupindex
C2×#168398342
D4×C4⋊Dic612
#214465852
#214465772
#214460182
#214460122
#214460062
#214459522
#214458502
#214458462
#214457172
#214455402
C2×#168395242
C61×#23522
#2270961