Finite Group Databasebeta

← #10716632

Subgroups — #10716632

Order 768.

1662 conjugacy classes of subgroups.

The subgroup lattice has 684 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#4977C211yesmaximal, characteristic
2C2×Dic3×C4⋊C4C211yesmaximal, characteristic
3C2×Dic3×C4⋊C4C211yesmaximal, characteristic
4C2×C4×C4⋊Dic3C211yesmaximal, characteristic
5C2×C4×Dic3⋊C4C211yesmaximal, characteristic
6C3×C4⋊#95C211yesmaximal, characteristic
7#71563C211yesmaximal, characteristic
8#69406C212yesmaximal
9#69405C212yesmaximal
10#69402C212yesmaximal
11Dic3×#95C212yesmaximal
12#13804—31nomaximal, Sylow
13C22×C3×C4⋊C4C2211yescharacteristic
14C22×C3×C4⋊C4C2211yescharacteristic
15C22×C3×C42C2211yescharacteristic
16C22×C4⋊Dic3C2211yescharacteristic
17C22×C4⋊Dic3C2211yescharacteristic
18C22×Dic3⋊C4C2211yescharacteristic
19C22×Dic3⋊C4C2211yescharacteristic
20C22×C4×Dic3C2212yes—
21C22×C4×Dic3C2212yes—
22C22×C4×Dic3C2211yescharacteristic
23C22×C4×Dic3C2212yes—
24C22×C4×Dic3C2211yescharacteristic
25C2×C3×#95C2212yes—
26C2×C3×#95C2212yes—
27C2×C3⋊#95C2212yes—
28C2×C3⋊#95C2212yes—
29C2×C3⋊#95C2212yes—
30C2×C3⋊#95C2212yes—
31C2×C3⋊#95C2211yescharacteristic
32C2×C3⋊#95C2212yes—
33C2×C3⋊#95C2211yescharacteristic
34C2×C3⋊#95C2212yes—
35C2×C3⋊#95C2212yes—
36#4977C418yescomplemented
37Dic3×C4⋊C4—24no—
38Dic3×C4⋊C4C418yescomplemented
39C4×C4⋊Dic3—24no—
40C4×Dic3⋊C4C418yescomplemented
41C2×#382—31no—
42C2×C4×C4⋊C4—31no—
43C2×C4×C4⋊C4—31no—
44C2×C4×C4⋊C4—31no—
45C2×C4×C4⋊C4—31no—
46#1436—32no—
47#1436—32no—
48C4⋊#95—31no—
49C4⋊#95D311yescharacteristic
50#1434—32no—
51C4×#95—32no—
52C23×C3×C4C2312yes—
53C23×C3×C4C2312yes—
54C23×C3×C4C2311yescharacteristic
55C23×C3×C4C2311yescharacteristic
56C23×C3×C4C2311yescharacteristic
57C23×Dic3C2311yescharacteristic
58C23×Dic3C2312yes—
59C23×Dic3C2311yescharacteristic
60C23×Dic3C2311yescharacteristic
61C23×Dic3C2312yes—
62C23×Dic3C2311yescharacteristic
63C2×C3×C4⋊C4—22no—
64C2×C3×C4⋊C4—22no—
65C2×C3×C4⋊C4—22no—
66C2×C3×C4⋊C4—22no—
67C2×C3×C4⋊C4C2×C414yes—
68C2×C3×C4⋊C4C2×C414yes—
69C2×C3×C42—22no—
70C2×C3×C42—22no—
71C2×C3×C42C2×C414yes—
72C2×C4⋊Dic3—22no—
73C2×C4⋊Dic3—22no—
74C2×C4⋊Dic3C2×C414yes—
75C2×C4⋊Dic3C2×C414yes—
76C2×C4⋊Dic3D414yes—
77C2×C4⋊Dic3Q814yes—
78C2×Dic3⋊C4—22no—
79C2×Dic3⋊C4—22no—
80C2×Dic3⋊C4—22no—
81C2×Dic3⋊C4—22no—
82C2×Dic3⋊C4C2×C414yes—
83C2×Dic3⋊C4C2×C414yes—
84C2×C4×Dic3—22no—
85C2×C4×Dic3—22no—
86C2×C4×Dic3—24no—
87C2×C4×Dic3—24no—
88C2×C4×Dic3—24no—
89C2×C4×Dic3—24no—
90C2×C4×Dic3—42no—
91C2×C4×Dic3—42no—
92C2×C4×Dic3—42no—
93C2×C4×Dic3—42no—
94C2×C4×Dic3C2×C414yes—
95C2×C4×Dic3C2×C418yes—
96C2×C4×Dic3C2×C414yes—
97C2×C4×Dic3C2×C414yes—
98C2×C4×Dic3C2×C414yes—
99C3×#95—24no—
100C3×#95—42no—
101C3⋊#95—24no—
102C3⋊#95—24no—
103C3⋊#95—24no—
104C3⋊#95—42no—
105C3⋊#95C2×C414yes—
106C3⋊#95C2×C414yes—
107C3⋊#95C2×C418yes—
108C3⋊#95C2×C418yes—
109C3⋊#95C2×C418yes—
110C22×C4⋊C4—31no—
111C22×C4⋊C4—31no—
112C22×C4⋊C4—31no—
113C22×C4⋊C4—31no—
114C22×C4⋊C4C2×D311yescharacteristic
115C22×C4⋊C4C2×D311yescharacteristic
116C22×C42—31no—
117C22×C42—31no—
118C22×C42—32no—
119C22×C42—32no—
120C22×C42—32no—
121C22×C42C2×D311yescharacteristic
122#382—38no—
123C4×C4⋊C4—38no—
124C4×C4⋊C4—38no—
125C4×C4⋊C4—64no—
126C4×C4⋊C4—64no—
127C2×#95—31no—
128C2×#95—32no—
129C2×#95—31no—
130C2×#95—32no—
131C2×#95—32no—
132C2×#95—32no—
133C2×#95—32no—
134C2×#95—32no—
135C2×#95—32no—
136C2×#95C2×D312yes—
137C2×#95C2×D312yes—
138C24×C3C2411yescharacteristic
139C22×C3×C4—21no—
140C22×C3×C4—21no—
141C22×C3×C4—21no—
142C22×C3×C4—21no—
143C22×C3×C4—21no—
144C22×C3×C4—22no—
145C22×C3×C4—22no—
146C22×C3×C4—22no—
147C22×C3×C4—22no—
148C22×C3×C4—22no—
149C22×C3×C4—21no—
150C22×C3×C4—21no—
151C22×C3×C4—21no—
152C22×C3×C4—22no—
153C22×C3×C4—22no—
154C22×C3×C4—22no—
155C22×C3×C4—22no—
156C22×C3×C4—21no—
157C22×C3×C4—22no—
158C22×C3×C4—22no—
159C22×C3×C4—21no—
160C22×C3×C4—22no—
161C22×C3×C4C22×C414yes—
162C22×C3×C4C22×C414yes—
163C22×C3×C4C22×C412yes—
164C22×C3×C4C22×C412yes—
165C22×C3×C4C22×C412yes—
166C22×C3×C4C22×C412yes—
167C22×C3×C4C22×C412yes—
168C22×C3×C4C2×D412yes—
169C22×C3×C4C2×Q812yes—
170C22×C3×C4#4112yes—
171C22×C3×C4#4112yes—
172C22×C3×C4#4112yes—
173C22×C3×C4#4112yes—
174C22×Dic3—21no—
175C22×Dic3—21no—
176C22×Dic3—22no—
177C22×Dic3—22no—
178C22×Dic3—21no—
179C22×Dic3—21no—
180C22×Dic3—21no—
181C22×Dic3—21no—
182C22×Dic3—21no—
183C22×Dic3—22no—
184C22×Dic3—21no—
185C22×Dic3—21no—
186C22×Dic3—22no—
187C22×Dic3—21no—
188C22×Dic3—21no—
189C22×Dic3—21no—
190C22×Dic3—21no—
191C22×Dic3—22no—
192C22×Dic3—22no—
193C22×Dic3—21no—
194C22×Dic3—22no—
195C22×Dic3—21no—
196C22×Dic3—21no—
197C22×Dic3—22no—
198C22×Dic3—21no—
199C22×Dic3—22no—
200C22×Dic3—22no—
201C22×Dic3—21no—
202C22×Dic3C22×C414yes—
203C22×Dic3C22×C412yes—
204C22×Dic3C22×C412yes—
205C22×Dic3C22×C412yes—
206C22×Dic3C22×C412yes—
207C22×Dic3C22×C412yes—
208C22×Dic3C22×C412yes—
209C22×Dic3C22×C412yes—
210C22×Dic3C22×C414yes—
211C22×Dic3C22×C412yes—
212C22×Dic3C2×D414yes—
213C22×Dic3C2×Q814yes—
214C22×Dic3#4112yes—
215C22×Dic3#4112yes—
216C3×C4⋊C4—28no—
217C3×C4⋊C4—28no—
218C3×C42—28no—
219C4⋊Dic3—28no—
220C4⋊Dic3C4⋊C4116yescomplemented
221Dic3⋊C4—28no—
222Dic3⋊C4—28no—
223C4×Dic3—28no—
224C4×Dic3—48no—
225C4×Dic3—48no—
226C4×Dic3—48no—
227C4×Dic3C42116yescomplemented
228C23×C4—31no—
229C23×C4—32no—
230C23×C4—31no—
231C23×C4—31no—
232C23×C4—32no—
233C23×C4—31no—
234C23×C4C22×D311yescharacteristic
235C23×C4C22×D312yes—
236C23×C4C22×D312yes—
237C23×C4C22×D311yescharacteristic
238C23×C4C22×D311yescharacteristic
239C2×C4⋊C4—22no—
240C2×C4⋊C4—22no—
241C2×C4⋊C4—22no—
242C2×C4⋊C4—22no—
243C2×C4⋊C4—34no—
244C2×C4⋊C4—34no—
245C2×C4⋊C4—34no—
246C2×C4⋊C4—34no—
247C2×C4⋊C4—34no—
248C2×C4⋊C4—34no—
249C2×C4⋊C4—62no—
250C2×C4⋊C4—62no—
251C2×C4⋊C4—62no—
252C2×C4⋊C4—62no—
253C2×C4⋊C4—62no—
254C2×C4⋊C4—62no—
255C2×C4⋊C4C4×D314yes—
256C2×C4⋊C4C4×D314yes—
257C2×C42—22no—
258C2×C42—22no—
259C2×C42—34no—
260C2×C42—34no—
261C2×C42—34no—
262C2×C42—34no—
263C2×C42—38no—
264C2×C42—62no—
265C2×C42—62no—
266C2×C42—64no—
267C2×C42—64no—
268C2×C42—64no—
269C2×C42—64no—
270C2×C42—122no—
271C2×C42—122no—
272C2×C42—122no—
273C2×C42—122no—
274C2×C42C4×D314yes—
275#95—24no—
276#95—38no—
277#95—34no—
278#95—34no—
279#95—38no—
280#95—38no—
281#95—42no—
282#95—64no—
283#95—64no—
284#95—64no—
285#95—122no—
286C23×C3C23×C411yescharacteristic
287C23×C3C23×C411yescharacteristic
288C23×C3C23×C411yescharacteristic
289C23×C3C22×D411yescharacteristic
290C23×C3C22×Q811yescharacteristic
291C23×C3C2×#4111yescharacteristic
292C23×C3C2×#4111yescharacteristic
293C23×C3C2×#4111yescharacteristic
294C23×C3C2×#4111yescharacteristic
295C23×C3C2×#4111yescharacteristic
296C23×C3C2×#4111yescharacteristic
297C23×C3H(5,𝔽2)11yescharacteristic
298C23×C3H(5,𝔽2)11yescharacteristic
299C23×C32−1+411yescharacteristic
300C23×C32−1+411yescharacteristic
301C2×C3×C4—22no—
302C2×C3×C4—22no—
303C2×C3×C4—22no—
304C2×C3×C4—22no—
305C2×C3×C4—22no—
306C2×C3×C4—22no—
307C2×C3×C4—22no—
308C2×C3×C4—24no—
309C2×C3×C4—22no—
310C2×C3×C4—24no—
311C2×C3×C4—24no—
312C2×C3×C4—24no—
313C2×C3×C4—24no—
314C2×C3×C4—22no—
315C2×C3×C4—24no—
316C2×C3×C4—42no—
317C2×C3×C4—41no—
318C2×C3×C4—41no—
319C2×C3×C4—42no—
320C2×C3×C4—41no—
321C2×C3×C4—41no—
322C2×C3×C4—42no—
323C2×C3×C4—42no—
324C2×C3×C4—42no—
325C2×C3×C4—42no—
326C2×C3×C4—42no—
327C2×C3×C4—42no—
328C2×C3×C4C2×C4214yes—
329C2×C3×C4C2×C4⋊C414yes—
330C2×C3×C4#11714yes—
331C2×C3×C4#11714yes—
332C2×C3×C4C4×D414yes—
333C2×C3×C4C4×D414yes—
334C2×C3×C4C4×Q814yes—
335C2×C3×C4C4×Q814yes—
336C2×Dic3—22no—
337C2×Dic3—22no—
338C2×Dic3—22no—
339C2×Dic3—22no—
340C2×Dic3—22no—
341C2×Dic3—24no—
342C2×Dic3—22no—
343C2×Dic3—22no—
344C2×Dic3—22no—
345C2×Dic3—24no—
346C2×Dic3—22no—
347C2×Dic3—22no—
348C2×Dic3—22no—
349C2×Dic3—22no—
350C2×Dic3—22no—
351C2×Dic3—22no—
352C2×Dic3—22no—
353C2×Dic3—24no—
354C2×Dic3—24no—
355C2×Dic3—22no—
356C2×Dic3—22no—
357C2×Dic3—22no—
358C2×Dic3—24no—
359C2×Dic3—24no—
360C2×Dic3—22no—
361C2×Dic3—22no—
362C2×Dic3—24no—
363C2×Dic3—24no—
364C2×Dic3—22no—
365C2×Dic3—24no—
366C2×Dic3—42no—
367C2×Dic3—41no—
368C2×Dic3—42no—
369C2×Dic3—41no—
370C2×Dic3—41no—
371C2×Dic3—41no—
372C2×Dic3—42no—
373C2×Dic3—42no—
374C2×Dic3C2×C4214yes—
375C2×Dic3C2×C4214yes—
376C2×Dic3C2×C4⋊C418yes—
377C2×Dic3#11714yes—
378C24C23×D311yescharacteristic
379C22×C4—21no—
380C22×C4—21no—
381C22×C4—21no—
382C22×C4—21no—
383C22×C4—21no—
384C22×C4—22no—
385C22×C4—22no—
386C22×C4—22no—
387C22×C4—21no—
388C22×C4—22no—
389C22×C4—22no—
390C22×C4—22no—
391C22×C4—21no—
392C22×C4—22no—
393C22×C4—22no—
394C22×C4—21no—
395C22×C4—22no—
396C22×C4—22no—
397C22×C4—21no—
398C22×C4—21no—
399C22×C4—22no—
400C22×C4—22no—
401C22×C4—32no—
402C22×C4—32no—
403C22×C4—32no—
404C22×C4—32no—
405C22×C4—34no—
406C22×C4—32no—
407C22×C4—32no—
408C22×C4—32no—
409C22×C4—34no—
410C22×C4—34no—
411C22×C4—32no—
412C22×C4—32no—
413C22×C4—34no—
414C22×C4—32no—
415C22×C4—61no—
416C22×C4—61no—
417C22×C4—61no—
418C22×C4—62no—
419C22×C4—61no—
420C22×C4—61no—
421C22×C4—62no—
422C22×C4—61no—
423C22×C4—61no—
424C22×C4—61no—
425C22×C4—62no—
426C22×C4—61no—
427C22×C4—61no—
428C22×C4—62no—
429C22×C4—61no—
430C22×C4—61no—
431C22×C4—61no—
432C22×C4—62no—
433C22×C4—61no—
434C22×C4—62no—
435C22×C4—61no—
436C22×C4—62no—
437C22×C4—61no—
438C22×C4—62no—
439C22×C4—62no—
440C22×C4—61no—
441C22×C4—62no—
442C22×C4—61no—
443C22×C4C2×C4×D314yes—
444C22×C4C2×C4×D314yes—
445C22×C4C2×C4×D312yes—
446C22×C4C2×C4×D312yes—
447C22×C4C2×C4×D312yes—
448C22×C4C2×C4×D312yes—
449C22×C4C2×C4×D312yes—
450C22×C4D3×D412yes—
451C22×C4#23712yes—
452C22×C4#23712yes—
453C22×C4#23712yes—
454C22×C4D3×Q812yes—
455C22×C4#23912yes—
456C4⋊C4—28no—
457C4⋊C4—28no—
458C4⋊C4—316no—
459C4⋊C4—68no—
460C4⋊C4—68no—
461C4⋊C4—68no—
462C42—28no—
463C42—316no—
464C42—68no—
465C42—128no—
466C42—128no—
467C42—128no—
468C22×C3C22×C4211yescharacteristic
469C22×C3C22×C4⋊C411yescharacteristic
470C22×C3C2×#11711yescharacteristic
471C22×C3C2×#11711yescharacteristic
472C22×C3C2×#11711yescharacteristic
473C22×C3C2×C4×D411yescharacteristic
474C22×C3C2×C4×D411yescharacteristic
475C22×C3C2×C4×Q811yescharacteristic
476C22×C3C2×C4×Q811yescharacteristic
477C22×C3C4×#4111yescharacteristic
478C22×C3C4×#4111yescharacteristic
479C22×C3C4×#4111yescharacteristic
480C22×C3C4×#4111yescharacteristic
481C22×C3#51811yescharacteristic
482C22×C3#51911yescharacteristic
483C22×C3#52011yescharacteristic
484C22×C3#52011yescharacteristic
485C22×C3#52011yescharacteristic
486C22×C3#52011yescharacteristic
487C22×C3#54611yescharacteristic
488C22×C3#54611yescharacteristic
489C22×C3#54811yescharacteristic
490C22×C3#54811yescharacteristic
491C22×C3#55211yescharacteristic
492C22×C3#55211yescharacteristic
493C22×C3#55311yescharacteristic
494C22×C3#55311yescharacteristic
495C22×C3#55411yescharacteristic
496C22×C3#55411yescharacteristic
497C22×C3#55611yescharacteristic
498C22×C3#55611yescharacteristic
499C22×C3#55711yescharacteristic
500C22×C3#55711yescharacteristic
501C22×C3#55911yescharacteristic
502C22×C3#55911yescharacteristic
503C3×C4—24no—
504C3×C4—42no—
505C3×C4—44no—
506C3×C4—44no—
507C3×C4C4×C4⋊C418yes—
508Dic3—28no—
509Dic3—24no—
510Dic3—24no—
511Dic3—24no—
512Dic3—42no—
513Dic3—44no—
514C23C22×C4×D311yescharacteristic
515C23C22×C4×D311yescharacteristic
516C23C22×C4×D311yescharacteristic
517C23C2×D3×D411yescharacteristic
518C23C2×#23711yescharacteristic
519C23C2×#23711yescharacteristic
520C23C2×#23711yescharacteristic
521C23#100411yescharacteristic
522C23C2×D3×Q811yescharacteristic
523C23C2×#23911yescharacteristic
524C23#100711yescharacteristic
525C23D3×#4111yescharacteristic
526C23D3×#4111yescharacteristic
527C23#100911yescharacteristic
528C23#101011yescharacteristic
529C2×C4—22no—
530C2×C4—22no—
531C2×C4—22no—
532C2×C4—22no—
533C2×C4—22no—
534C2×C4—22no—
535C2×C4—24no—
536C2×C4—22no—
537C2×C4—24no—
538C2×C4—22no—
539C2×C4—22no—
540C2×C4—24no—
541C2×C4—24no—
542C2×C4—24no—
543C2×C4—24no—
544C2×C4—34no—
545C2×C4—34no—
546C2×C4—38no—
547C2×C4—34no—
548C2×C4—41no—
549C2×C4—41no—
550C2×C4—42no—
551C2×C4—42no—
552C2×C4—42no—
553C2×C4—42no—
554C2×C4—42no—
555C2×C4—42no—
556C2×C4—41no—
557C2×C4—42no—
558C2×C4—41no—
559C2×C4—42no—
560C2×C4—62no—
561C2×C4—62no—
562C2×C4—64no—
563C2×C4—64no—
564C2×C4—62no—
565C2×C4—62no—
566C2×C4—62no—
567C2×C4—62no—
568C2×C4—62no—
569C2×C4—62no—
570C2×C4—62no—
571C2×C4—62no—
572C2×C4—62no—
573C2×C4—64no—
574C2×C4—62no—
575C2×C4—62no—
576C2×C4—62no—
577C2×C4—62no—
578C2×C4—64no—
579C2×C4—62no—
580C2×C4—62no—
581C2×C4—64no—
582C2×C4—62no—
583C2×C4—64no—
584C2×C4—62no—
585C2×C4—64no—
586C2×C4—62no—
587C2×C4—62no—
588C2×C4—64no—
589C2×C4—64no—
590C2×C4—122no—
591C2×C4—121no—
592C2×C4—122no—
593C2×C4—122no—
594C2×C4—121no—
595C2×C4—121no—
596C2×C4—122no—
597C2×C4—121no—
598C2×C4C42×D314yes—
599C2×C4#87714yes—
600C2×C4#67⋊C414yes—
601C2×C4#67⋊C414yes—
602C2×C4#88714yes—
603C2×C4#88714yes—
604C2×C4D3×C4⋊C414yes—
605C2×C4#89214yes—
606C2×C3C2×C4×C4⋊C411yescharacteristic
607C2×C3C4×#11711yescharacteristic
608C2×C3#227411yescharacteristic
609C2×C3#234911yescharacteristic
610C2×C3#235111yescharacteristic
611C2×C3#235211yescharacteristic
612C2×C3#235211yescharacteristic
613C2×C3#235511yescharacteristic
614C2×C3#235511yescharacteristic
615C2×C3#235611yescharacteristic
616C2×C3#235711yescharacteristic
617C2×C3#236711yescharacteristic
618C2×C3#236711yescharacteristic
619C2×C3#237011yescharacteristic
620C2×C3#237011yescharacteristic
621C22C2×C42×D311yescharacteristic
622C22C2×#87711yescharacteristic
623C22C2×#67⋊C411yescharacteristic
624C22C2×#67⋊C411yescharacteristic
625C22C2×#88711yescharacteristic
626C22C2×#88711yescharacteristic
627C22C2×D3×C4⋊C411yescharacteristic
628C22C2×#89211yescharacteristic
629C22#550411yescharacteristic
630C22D3×#11711yescharacteristic
631C22#552311yescharacteristic
632C22C4×#23711yescharacteristic
633C22C4×#23711yescharacteristic
634C22#554511yescharacteristic
635C22#554611yescharacteristic
636C22#557211yescharacteristic
637C22C4×#23911yescharacteristic
638C22C4×#23911yescharacteristic
639C22#557411yescharacteristic
640C22#559811yescharacteristic
641C22#561211yescharacteristic
642C22#561411yescharacteristic
643C22#561811yescharacteristic
644C22#563011yescharacteristic
645C22#563311yescharacteristic
646C22#563911yescharacteristic
647C22#564211yescharacteristic
648C22#567111yescharacteristic
649C22#568111yescharacteristic
650C22#568511yescharacteristic
651C22#569011yescharacteristic
652C22#571311yescharacteristic
653C22#572111yescharacteristic
654C22#573011yescharacteristic
655C22#573211yescharacteristic
656C4—24no—
657C4—44no—
658C4—44no—
659C4—42no—
660C4—64no—
661C4—64no—
662C4—64no—
663C4—68no—
664C4—122no—
665C4—124no—
666C4#464918yes—
667C3#1380411yescharacteristic, complemented, Sylow
668C2C2×#464911yescharacteristic
669C2C4×#89211yescharacteristic
670C2#7375011yescharacteristic
671C2#7388311yescharacteristic
672C2#7401211yescharacteristic
673C2#7415811yescharacteristic
674C2#7432511yescharacteristic
675C2#7598211yescharacteristic
676C2#7598811yescharacteristic
677C2#7598911yescharacteristic
678C2#7620311yescharacteristic
679C2#7630311yescharacteristic
680C2#7630711yescharacteristic
681C2#7649011yescharacteristic
682C2#7649311yescharacteristic
subgroupG/H
center, FrattiniC24C23×D3
commutatorC22×C3C22×C42
FittingC3×C4⋊#95C2
socle, prime radical, cosocleC24×C3C24
hypercenterC4⋊#95D3
hypocenterC3#13804
LCSG ▷ C22×C3 ▷ C3
UCSC1 ◁ C24 ◁ C4⋊#95

Complements

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

NH ≅ G/Ntype
36. #4977C4semidirect
38. Dic3×C4⋊C4C4semidirect
40. C4×Dic3⋊C4C4semidirect
220. C4⋊Dic3C4⋊C4semidirect
227. C4×Dic3C42semidirect
667. C3#13804semidirect

Maximal subgroups

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

subgroupindex
C2×#49772
C2×Dic3×C4⋊C42
C2×C4×C4⋊Dic32
C2×C4×Dic3⋊C42
C3×C4⋊#952
#715632
#694062
#694052
#694022
Dic3×#952
#138043