Finite Group Databasebeta

← #10794588

Subgroups — #10794588

Order 768.

1690 conjugacy classes of subgroups.

The subgroup lattice has 724 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5545C211yesmaximal, characteristic
2C2×D3×#99C212yesmaximal
3#74005C212yesmaximal, complemented
4C3×#1799C211yesmaximal, characteristic, complemented
5#71619C211yesmaximal, characteristic, complemented
6#70028C212yesmaximal, complemented
7#69530C212yesmaximal, complemented
8D3×#342C212yesmaximal, complemented
9#68959C212yesmaximal, complemented
10#20633—31nomaximal, Sylow
11C22×D3×D4C2211yescharacteristic
12C2×C3×C4×D4C2211yescharacteristic
13C2×D4×Dic3C2211yescharacteristic
14C2×C4×#67C411yescharacteristic, complemented
15C2×C4×#67C2211yescharacteristic
16C22×(C2×D3)⋊C4C411yescharacteristic, complemented
17C22×(C2×D3)⋊C4C2211yescharacteristic
18#5545—24no—
19#5545—24no—
20C2×#893C411yescharacteristic, complemented
21C2×#892C411yescharacteristic, complemented
22C2×#67⋊C4C411yescharacteristic, complemented
23C2×#67⋊C4C2211yescharacteristic
24C2×D3×C22⋊C4C411yescharacteristic, complemented
25C2×D3×C22⋊C4C2214yes—
26C2×D3×C22⋊C4C2211yescharacteristic
27C2×C4×D12C411yescharacteristic, complemented
28C2×#872C411yescharacteristic, complemented
29C2×C3×#99C2212yes—
30C3×#380C2212yescomplemented
31C2×#834C2212yes—
32#5212C2212yescomplemented
33#4989—24no—
34C2×#806C2214yes—
35#4942C2214yescomplemented
36D3×#99—28no—
37#4668—24no—
38C3×#342C2212yescomplemented
39#4527C2214yescomplemented
40#4526C2212yescomplemented
41C2×#518—31no—
42C22×#99—32no—
43#2315—32no—
44#1799—32no—
45#1799—32no—
46#1799—32no—
47#1799—31no—
48#1799D311yescharacteristic, complemented
49C2×#342—32no—
50C24×D3C2×C411yescharacteristic
51C24×D3C2311yescharacteristic
52C22×C3×D4C2311yescharacteristic
53C23×C3×C4C2×C411yescharacteristic, complemented
54C23×C3×C4C2311yescharacteristic
55C22×#67C2×C411yescharacteristic
56C22×#67C2311yescharacteristic
57C23×Dic3C2×C411yescharacteristic, complemented
58C23×Dic3C2311yescharacteristic
59C2×D3×D4—24no—
60C2×D3×D4—24no—
61C2×D3×D4D414yes—
62C2×D3×D4Q814yes—
63C22×D12C2×C411yescharacteristic
64C22×C4×D3—24no—
65C22×C4×D3C2×C411yescharacteristic
66C22×C4×D3C2×C411yescharacteristic
67C22×C4×D3C2×C411yescharacteristic
68C22×C4×D3C2×C411yescharacteristic, complemented
69C22×C4×D3C2×C411yescharacteristic, complemented
70C3×C4×D4—22no—
71C3×C4×D4—22no—
72C2×C3×C4⋊C4—22no—
73C2×C3×C4⋊C4C2×C411yescharacteristic, complemented
74C2×C3×C22⋊C4C2×C411yescharacteristic, complemented
75C2×C3×C22⋊C4C2314yes—
76C2×C3×C22⋊C4C2311yescharacteristic
77C2×C3×C42C2×C411yescharacteristic, complemented
78C2×#217C2×C411yescharacteristic, complemented
79C2×#217C2314yes—
80C2×#217C2311yescharacteristic
81D4×Dic3—24no—
82C4×#67—22no—
83C4×#67—22no—
84C4×#67—22no—
85C4×#67—22no—
86C2×(C2×D3)⋊C4—22no—
87C2×(C2×D3)⋊C4—22no—
88C2×(C2×D3)⋊C4—24no—
89C2×(C2×D3)⋊C4C2×C411yescharacteristic
90C2×(C2×D3)⋊C4C2×C411yescharacteristic
91C2×(C2×D3)⋊C4C2×C411yescharacteristic
92C2×(C2×D3)⋊C4C2×C411yescharacteristic
93C2×(C2×D3)⋊C4C2×C411yescharacteristic
94C2×(C2×D3)⋊C4C2×C411yescharacteristic
95C2×(C2×D3)⋊C4C2×C411yescharacteristic, complemented
96C2×(C2×D3)⋊C4C2×C411yescharacteristic, complemented
97C2×(C2×D3)⋊C4D414yes—
98C2×(C2×D3)⋊C4D414yes—
99C2×C4⋊Dic3—22no—
100C2×C4⋊Dic3C2×C411yescharacteristic, complemented
101C2×Dic3⋊C4—24no—
102C2×Dic3⋊C4C2×C411yescharacteristic, complemented
103C2×Dic3⋊C4C2×C411yescharacteristic, complemented
104C2×C4×Dic3C2×C411yescharacteristic, complemented
105C2×C4×Dic3C2×C411yescharacteristic, complemented
106C2×C4×Dic3C2×C411yescharacteristic, complemented
107#893—24no—
108#892—24no—
109#67⋊C4—24no—
110#67⋊C4—24no—
111D3×C22⋊C4—24no—
112D3×C22⋊C4—24no—
113D3×C22⋊C4—28no—
114D3×C22⋊C4—28no—
115C4×D12—22no—
116C4×D12—22no—
117#872—22no—
118#872—22no—
119C3×#99—24no—
120C3×#95—22no—
121#834—24no—
122C3⋊#95—22no—
123C3⋊#95—24no—
124#806—28no—
125C23×D4—31no—
126#518—64no—
127#518—64no—
128C2×C4×D4—31no—
129C2×C4×D4—31no—
130C2×C4×D4—31no—
131C2×C4×D4—31no—
132C2×C4×D4—31no—
133C2×C4×D4—31no—
134C2×C4×D4—31no—
135C2×C4×D4C2×D311yescharacteristic
136C2×#117—31no—
137C2×#117—31no—
138C22×C22⋊C4—31no—
139C22×C22⋊C4—31no—
140C22×C22⋊C4—31no—
141C22×C22⋊C4—31no—
142C22×C22⋊C4—34no—
143C2×#99—32no—
144C2×#99—34no—
145C2×#99—68no—
146C2×#99C2×D312yes—
147#385—64no—
148#385—64no—
149#380—32no—
150#380—34no—
151#380C2×D312yescomplemented
152#342—32no—
153#342—34no—
154#342C2×D312yescomplemented
155C24×C3C22×C411yescharacteristic
156C24×C3C2411yescharacteristic
157C23×D3—22no—
158C23×D3—22no—
159C23×D3—81no—
160C23×D3—81no—
161C23×D3—81no—
162C23×D3—81no—
163C23×D3C4⋊C414yescomplemented
164C23×D3C22×C411yescharacteristic
165C23×D3C22×C411yescharacteristic
166C23×D3C22×C411yescharacteristic
167C23×D3C2×D414yes—
168C23×D3C2×D412yes—
169C23×D3C2×Q812yes—
170C23×D3#4114yes—
171C2×C3×D4—22no—
172C2×C3×D4—22no—
173C2×C3×D4C2×D412yes—
174C2×C3×D4C2×Q812yes—
175C22×C3×C4—21no—
176C22×C3×C4—21no—
177C22×C3×C4—24no—
178C22×C3×C4—81no—
179C22×C3×C4—81no—
180C22×C3×C4C22×C411yescharacteristic
181C22×C3×C4C22×C411yescharacteristic
182C22×C3×C4C22×C411yescharacteristic
183C22×C3×C4C22×C411yescharacteristic
184C22×C3×C4C22×C411yescharacteristic
185C22×C3×C4C2×D412yes—
186C22×C3×C4C2×D412yes—
187C2×#67—22no—
188C2×#67—22no—
189C2×#67—22no—
190C2×#67—22no—
191C2×#67C4⋊C414yescomplemented
192C2×#67C2×D412yes—
193C2×#67C2×Q812yes—
194C22×Dic3—22no—
195C22×Dic3—24no—
196C22×Dic3—81no—
197C22×Dic3—81no—
198C22×Dic3C22×C411yescharacteristic
199C22×Dic3C22×C411yescharacteristic
200C22×Dic3C22×C411yescharacteristic
201C22×Dic3C22×C411yescharacteristic
202C22×Dic3C22×C411yescharacteristic
203C22×Dic3C2×D414yes—
204D3×D4—216no—
205D3×D4—216no—
206C2×D12—22no—
207C2×D12—22no—
208C2×D12C4⋊C414yescomplemented
209C2×C4×D3—22no—
210C2×C4×D3—22no—
211C2×C4×D3—22no—
212C2×C4×D3—22no—
213C2×C4×D3—22no—
214C2×C4×D3—22no—
215C2×C4×D3—48no—
216C2×C4×D3—84no—
217C2×C4×D3—84no—
218C2×C4×D3—81no—
219C2×C4×D3—81no—
220C2×C4×D3—81no—
221C2×C4×D3—81no—
222C2×C4×D3C4⋊C414yescomplemented
223C3×C4⋊C4—22no—
224C3×C4⋊C4—82no—
225C3×C22⋊C4—22no—
226C3×C22⋊C4—22no—
227C3×C22⋊C4—24no—
228C3×C22⋊C4—24no—
229C3×C42—21no—
230C3×C42—21no—
231#217—22no—
232#217—22no—
233#217—24no—
234#217—24no—
235(C2×D3)⋊C4—22no—
236(C2×D3)⋊C4—22no—
237(C2×D3)⋊C4—21no—
238(C2×D3)⋊C4—21no—
239(C2×D3)⋊C4—22no—
240(C2×D3)⋊C4—48no—
241(C2×D3)⋊C4C22⋊C412yes—
242(C2×D3)⋊C4C22⋊C412yes—
243(C2×D3)⋊C4C22⋊C412yes—
244(C2×D3)⋊C4C22⋊C412yes—
245(C2×D3)⋊C4C22⋊C414yes—
246(C2×D3)⋊C4C22⋊C414yes—
247C4⋊Dic3—22no—
248C4⋊Dic3—82no—
249Dic3⋊C4—21no—
250Dic3⋊C4—21no—
251Dic3⋊C4—22no—
252Dic3⋊C4—84no—
253C4×Dic3—22no—
254C4×Dic3—22no—
255C4×Dic3—22no—
256C25—31no—
257C25—31no—
258C22×D4—31no—
259C22×D4—31no—
260C22×D4—34no—
261C22×D4—34no—
262C22×D4—31no—
263C22×D4—64no—
264C22×D4—64no—
265C22×D4C22×D311yescharacteristic
266C23×C4—31no—
267C23×C4—31no—
268C23×C4—31no—
269C23×C4—31no—
270C23×C4—31no—
271C23×C4—31no—
272C23×C4—31no—
273C23×C4—64no—
274C23×C4C4×D311yescharacteristic, complemented
275C23×C4C22×D311yescharacteristic
276C4×D4—22no—
277C4×D4—22no—
278C4×D4—62no—
279C4×D4—62no—
280C4×D4—64no—
281C4×D4—64no—
282C4×D4—64no—
283C4×D4—62no—
284C4×D4—62no—
285C4×D4—64no—
286C4×D4—62no—
287C4×D4—62no—
288#117—62no—
289#117—62no—
290#117—64no—
291C2×C4⋊C4—22no—
292C2×C4⋊C4—31no—
293C2×C4⋊C4—31no—
294C2×C4⋊C4—31no—
295C2×C4⋊C4—64no—
296C2×C4⋊C4—62no—
297C2×C4⋊C4C4×D311yescharacteristic, complemented
298C2×C22⋊C4—31no—
299C2×C22⋊C4—31no—
300C2×C22⋊C4—31no—
301C2×C22⋊C4—31no—
302C2×C22⋊C4—34no—
303C2×C22⋊C4—34no—
304C2×C22⋊C4—31no—
305C2×C22⋊C4—31no—
306C2×C22⋊C4—31no—
307C2×C22⋊C4—31no—
308C2×C22⋊C4—31no—
309C2×C22⋊C4—31no—
310C2×C22⋊C4—34no—
311C2×C22⋊C4—64no—
312C2×C22⋊C4—64no—
313C2×C22⋊C4—68no—
314C2×C22⋊C4—68no—
315C2×C22⋊C4—62no—
316C2×C22⋊C4—62no—
317C2×C22⋊C4—64no—
318C2×C22⋊C4C4×D311yescharacteristic, complemented
319C2×C22⋊C4C22×D314yes—
320C2×C22⋊C4C22×D311yescharacteristic
321C2×C42—31no—
322C2×C42—31no—
323C2×C42—31no—
324C2×C42C4×D311yescharacteristic, complemented
325#99—24no—
326#99—68no—
327#99—64no—
328#95—22no—
329#95—64no—
330#95—62no—
331C23×C3—21no—
332C23×C3—21no—
333C23×C3—41no—
334C23×C3—41no—
335C23×C3—41no—
336C23×C3—41no—
337C23×C3C2×C4⋊C412yes—
338C23×C3C23×C411yescharacteristic
339C23×C3C22×D412yes—
340C23×C3C22×D411yescharacteristic
341C23×C3C22×Q811yescharacteristic
342C23×C3C2×#4112yes—
343C22×D3—21no—
344C22×D3—21no—
345C22×D3—28no—
346C22×D3—41no—
347C22×D3—41no—
348C22×D3—44no—
349C22×D3—44no—
350C22×D3—41no—
351C22×D3—41no—
352C22×D3—41no—
353C22×D3—41no—
354C22×D3—82no—
355C22×D3—82no—
356C22×D3—82no—
357C22×D3—82no—
358C22×D3—84no—
359C22×D3—84no—
360C22×D3—84no—
361C22×D3C2×C22⋊C412yes—
362C22×D3C2×C22⋊C412yes—
363C22×D3C2×C4⋊C412yes—
364C22×D3C2×C4⋊C412yes—
365C22×D3C2×C4⋊C412yes—
366C22×D3#11712yes—
367C22×D3#11712yes—
368C22×D3#12118yes—
369C22×D3C22⋊Q818yes—
370C3×D4—24no—
371C3×D4—24no—
372C2×C3×C4—21no—
373C2×C3×C4—21no—
374C2×C3×C4—21no—
375C2×C3×C4—21no—
376C2×C3×C4—42no—
377C2×C3×C4—42no—
378C2×C3×C4—41no—
379C2×C3×C4—41no—
380C2×C3×C4—41no—
381C2×C3×C4—41no—
382C2×C3×C4—44no—
383C2×C3×C4—44no—
384C2×C3×C4—44no—
385C2×C3×C4—81no—
386C2×C3×C4—81no—
387C2×C3×C4C2×C22⋊C412yes—
388C2×C3×C4C2×C22⋊C411yescharacteristic
389C2×C3×C4C2×C22⋊C411yescharacteristic
390C2×C3×C4C2×C4⋊C412yes—
391#67—24no—
392#67—24no—
393#67—28no—
394C2×Dic3—21no—
395C2×Dic3—21no—
396C2×Dic3—21no—
397C2×Dic3—21no—
398C2×Dic3—44no—
399C2×Dic3—41no—
400C2×Dic3—41no—
401C2×Dic3—41no—
402C2×Dic3—41no—
403C2×Dic3—44no—
404C2×Dic3—44no—
405C2×Dic3—44no—
406C2×Dic3—82no—
407C2×Dic3C2×C22⋊C412yes—
408C2×Dic3C2×C22⋊C412yes—
409C2×Dic3C2×C4⋊C412yes—
410D12—28no—
411C4×D3—28no—
412C4×D3—82no—
413C4×D3—82no—
414C4×D3—82no—
415C4×D3—82no—
416C4×D3—816no—
417C24—31no—
418C24—31no—
419C24—34no—
420C24—32no—
421C24—32no—
422C24—34no—
423C24—31no—
424C24—34no—
425C24—62no—
426C24—62no—
427C24—241no—
428C24—241no—
429C24—241no—
430C24—241no—
431C24C2×C4×D311yescharacteristic
432C24C23×D311yescharacteristic
433C2×D4—22no—
434C2×D4—22no—
435C2×D4—34no—
436C2×D4—32no—
437C2×D4—32no—
438C2×D4—34no—
439C2×D4—62no—
440C2×D4—62no—
441C2×D4—616no—
442C2×D4—616no—
443C2×D4—62no—
444C2×D4—62no—
445C2×D4—62no—
446C2×D4—62no—
447C2×D4D3×D412yes—
448C2×D4D3×Q812yes—
449C22×C4—21no—
450C22×C4—21no—
451C22×C4—24no—
452C22×C4—31no—
453C22×C4—31no—
454C22×C4—31no—
455C22×C4—34no—
456C22×C4—34no—
457C22×C4—31no—
458C22×C4—31no—
459C22×C4—62no—
460C22×C4—62no—
461C22×C4—62no—
462C22×C4—62no—
463C22×C4—62no—
464C22×C4—62no—
465C22×C4—62no—
466C22×C4—64no—
467C22×C4—81no—
468C22×C4—81no—
469C22×C4—128no—
470C22×C4—244no—
471C22×C4—244no—
472C22×C4—241no—
473C22×C4—241no—
474C22×C4—241no—
475C22×C4—241no—
476C22×C4—241no—
477C22×C4—241no—
478C22×C4C2×C4×D311yescharacteristic
479C22×C4C2×C4×D311yescharacteristic
480C22×C4C2×C4×D311yescharacteristic
481C22×C4C2×C4×D311yescharacteristic
482C22×C4C2×C4×D311yescharacteristic
483C22×C4D3×D412yes—
484C22×C4D3×D412yes—
485C4⋊C4—22no—
486C4⋊C4—62no—
487C4⋊C4—62no—
488C4⋊C4—61no—
489C4⋊C4—61no—
490C4⋊C4—82no—
491C4⋊C4—244no—
492C4⋊C4—242no—
493C22⋊C4—22no—
494C22⋊C4—22no—
495C22⋊C4—24no—
496C22⋊C4—24no—
497C22⋊C4—32no—
498C22⋊C4—32no—
499C22⋊C4—34no—
500C22⋊C4—32no—
501C22⋊C4—32no—
502C22⋊C4—34no—
503C22⋊C4—62no—
504C22⋊C4—62no—
505C22⋊C4—62no—
506C22⋊C4—62no—
507C22⋊C4—62no—
508C22⋊C4—61no—
509C22⋊C4—61no—
510C22⋊C4—64no—
511C22⋊C4—64no—
512C22⋊C4—128no—
513C42—21no—
514C42—21no—
515C42—62no—
516C42—62no—
517C42—62no—
518C22×C3—22no—
519C22×C3—21no—
520C22×C3—22no—
521C22×C3—21no—
522C22×C3—22no—
523C22×C3—41no—
524C22×C3—41no—
525C22×C3—42no—
526C22×C3—42no—
527C22×C3—42no—
528C22×C3—41no—
529C22×C3—41no—
530C22×C3C22×C22⋊C411yescharacteristic
531C22×C3C22×C4⋊C411yescharacteristic
532C22×C3C2×#11711yescharacteristic
533C22×C3C2×#12112yes—
534C22×C3C2×C22⋊Q812yes—
535C2×D3—22no—
536C2×D3—22no—
537C2×D3—22no—
538C2×D3—22no—
539C2×D3—22no—
540C2×D3—48no—
541C2×D3—42no—
542C2×D3—42no—
543C2×D3—42no—
544C2×D3—42no—
545C2×D3—48no—
546C2×D3—42no—
547C2×D3—41no—
548C2×D3—41no—
549C2×D3—42no—
550C2×D3—88no—
551C2×D3#38014yes—
552C2×D3#38014yes—
553C3×C4—22no—
554C3×C4—21no—
555C3×C4—21no—
556C3×C4—22no—
557C3×C4—41no—
558C3×C4—41no—
559C3×C4—84no—
560Dic3—22no—
561Dic3—22no—
562Dic3—22no—
563Dic3—41no—
564Dic3—41no—
565Dic3—84no—
566C23—21no—
567C23—21no—
568C23—32no—
569C23—32no—
570C23—32no—
571C23—32no—
572C23—32no—
573C23—32no—
574C23—38no—
575C23—38no—
576C23—32no—
577C23—41no—
578C23—41no—
579C23—41no—
580C23—41no—
581C23—68no—
582C23—61no—
583C23—61no—
584C23—124no—
585C23—121no—
586C23—124no—
587C23—121no—
588C23—121no—
589C23—121no—
590C23—121no—
591C23—121no—
592C23—242no—
593C23—242no—
594C23—242no—
595C23—242no—
596C23—244no—
597C23—244no—
598C23—244no—
599C23D3×C4⋊C412yes—
600C23C22×C4×D311yescharacteristic
601C23C2×D3×D412yes—
602C23C2×D3×D411yescharacteristic
603C23C2×D3×Q811yescharacteristic
604C23D3×#4112yes—
605D4—24no—
606D4—24no—
607D4—68no—
608D4—68no—
609D4—64no—
610D4—64no—
611C2×C4—21no—
612C2×C4—21no—
613C2×C4—21no—
614C2×C4—21no—
615C2×C4—32no—
616C2×C4—32no—
617C2×C4—32no—
618C2×C4—42no—
619C2×C4—42no—
620C2×C4—41no—
621C2×C4—41no—
622C2×C4—41no—
623C2×C4—41no—
624C2×C4—44no—
625C2×C4—44no—
626C2×C4—44no—
627C2×C4—68no—
628C2×C4—61no—
629C2×C4—61no—
630C2×C4—61no—
631C2×C4—61no—
632C2×C4—81no—
633C2×C4—81no—
634C2×C4—124no—
635C2×C4—121no—
636C2×C4—121no—
637C2×C4—121no—
638C2×C4—121no—
639C2×C4—124no—
640C2×C4—124no—
641C2×C4—124no—
642C2×C4—242no—
643C2×C4—242no—
644C2×C4—242no—
645C2×C4—242no—
646C2×C4—242no—
647C2×C4—2416no—
648C2×C4D3×C22⋊C411yescharacteristic
649C2×C4D3×C22⋊C411yescharacteristic
650C2×C4D3×C22⋊C412yes—
651C2×C4D3×C4⋊C412yes—
652C2×C3—22no—
653C2×C3—21no—
654C2×C3—21no—
655C2×C3—22no—
656C2×C3—42no—
657C2×C3C2×#38011yescharacteristic
658C2×C3#288311yescharacteristic
659C2×C3#288311yescharacteristic
660D3—24no—
661D3—24no—
662D3—42no—
663C22—22no—
664C22—21no—
665C22—22no—
666C22—21no—
667C22—22no—
668C22—34no—
669C22—34no—
670C22—41no—
671C22—41no—
672C22—42no—
673C22—42no—
674C22—42no—
675C22—41no—
676C22—41no—
677C22—62no—
678C22—62no—
679C22—62no—
680C22—62no—
681C22—62no—
682C22—128no—
683C22—122no—
684C22—122no—
685C22—122no—
686C22—122no—
687C22—128no—
688C22—122no—
689C22—122no—
690C22—121no—
691C22—121no—
692C22—248no—
693C22C2×D3×C22⋊C411yescharacteristic
694C22C2×D3×C4⋊C411yescharacteristic
695C22D3×#11711yescharacteristic
696C22D3×#12112yes—
697C22D3×C22⋊Q812yes—
698C4—22no—
699C4—21no—
700C4—21no—
701C4—22no—
702C4—41no—
703C4—41no—
704C4—62no—
705C4—62no—
706C4—62no—
707C4—84no—
708C4—121no—
709C4—121no—
710C4—244no—
711C3#2063311yescharacteristic, complemented, Sylow
712C2—22no—
713C2—21no—
714C2—21no—
715C2—22no—
716C2—42no—
717C2—64no—
718C2—64no—
719C2—122no—
720C2D3×#38011yescharacteristic
721C2#7868811yescharacteristic
722C2#7869411yescharacteristic
subgroupG/H
centerC22C2×D3×C22⋊C4
commutatorC23×C3C23×C4
FrattiniC24C23×D3
FittingC3×#1799C2
socleC22×C3C22×C22⋊C4
prime radicalC22×D3×D4C22
cosocleC24×C3C24
hypercenter#1799D3
hypocenterC3#20633
LCSG ▷ C23×C3 ▷ C2×C3 ▷ C3
UCSC1 ◁ C22 ◁ C23×C4 ◁ #1799

Complements

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

NH ≅ G/Ntype
3. #74005C2semidirect
4. C3×#1799C2semidirect
5. #71619C2semidirect
6. #70028C2semidirect
7. #69530C2semidirect
8. D3×#342C2semidirect
9. #68959C2semidirect
14. C2×C4×#67C4semidirect
16. C22×(C2×D3)⋊C4C4semidirect
20. C2×#893C4semidirect
21. C2×#892C4semidirect
22. C2×#67⋊C4C4semidirect
24. C2×D3×C22⋊C4C4semidirect
27. C2×C4×D12C4semidirect
28. C2×#872C4semidirect
30. C3×#380C22semidirect
32. #5212C22semidirect
35. #4942C22semidirect
38. C3×#342C22semidirect
39. #4527C22semidirect
40. #4526C22semidirect
48. #1799D3semidirect
53. C23×C3×C4C2×C4semidirect
57. C23×Dic3C2×C4semidirect
68. C22×C4×D3C2×C4semidirect
69. C22×C4×D3C2×C4semidirect
73. C2×C3×C4⋊C4C2×C4semidirect
74. C2×C3×C22⋊C4C2×C4semidirect
77. C2×C3×C42C2×C4semidirect
78. C2×#217C2×C4semidirect
95. C2×(C2×D3)⋊C4C2×C4semidirect
96. C2×(C2×D3)⋊C4C2×C4semidirect
100. C2×C4⋊Dic3C2×C4semidirect
102. C2×Dic3⋊C4C2×C4semidirect
103. C2×Dic3⋊C4C2×C4semidirect
104. C2×C4×Dic3C2×C4semidirect
105. C2×C4×Dic3C2×C4semidirect
106. C2×C4×Dic3C2×C4semidirect
151. #380C2×D3semidirect
154. #342C2×D3semidirect
163. C23×D3C4⋊C4semidirect
191. C2×#67C4⋊C4semidirect
208. C2×D12C4⋊C4semidirect
222. C2×C4×D3C4⋊C4semidirect
274. C23×C4C4×D3semidirect
297. C2×C4⋊C4C4×D3semidirect
318. C2×C22⋊C4C4×D3semidirect
324. C2×C42C4×D3semidirect
711. C3#20633semidirect

Maximal subgroups

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

subgroupindex
C2×#55452
C2×D3×#992
#740052
C3×#17992
#716192
#700282
#695302
D3×#3422
#689592
#206333