Finite Group Databasebeta

← #10720188

Subgroups — #10720188

Order 768.

3158 conjugacy classes of subgroups.

The subgroup lattice has 750 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#895C211yesmaximal, characteristic
2C22×D3×C4⋊C4C211yesmaximal, characteristic, complemented
3C2×#4988C211yesmaximal, characteristic, complemented
4C2×#4939C211yesmaximal, characteristic, complemented
5C2×C4×(C2×D3)⋊C4C211yesmaximal, characteristic, complemented
6C2×#4665C214yesmaximal, complemented
7C3×C4⋊#95C211yesmaximal, characteristic, complemented
8#71563C211yesmaximal, characteristic, complemented
9#69428C214yesmaximal, complemented
10#14137—31nomaximal, Sylow
11C23×D12C2212yes—
12C23×D12C2211yescharacteristic
13C23×C4×D3C2212yes—
14C23×C4×D3C2211yescharacteristic
15C22×C3×C4⋊C4C2211yescharacteristic
16C22×C3×C4⋊C4C2211yescharacteristic
17C22×C3×C42C2211yescharacteristic
18C22×(C2×D3)⋊C4C2214yes—
19C22×(C2×D3)⋊C4C2214yes—
20C22×(C2×D3)⋊C4C2212yes—
21C22×(C2×D3)⋊C4C2212yes—
22C22×C4⋊Dic3C2211yescharacteristic
23C22×Dic3⋊C4C2212yes—
24C22×C4×Dic3C2211yescharacteristic
25C2×#895—24no—
26C2×#895—24no—
27C2×#895C418yescomplemented
28C2×D3×C4⋊C4—24no—
29C2×D3×C4⋊C4—24no—
30C2×D3×C4⋊C4—24no—
31C2×C3×#95C2214yes—
32C2×C3⋊#95C2212yes—
33C2×C3⋊#95C2214yes—
34#4988—24no—
35#4939—24no—
36C4×(C2×D3)⋊C4—24no—
37#4665—216no—
38C22×#121—31no—
39C23×C4⋊C4—31no—
40C2×#390—31no—
41C2×#390—31no—
42C2×#386—34no—
43C2×C4×C22⋊C4—31no—
44#1439—34no—
45C4⋊#95—31no—
46C4⋊#95D311yescharacteristic, complemented
47C24×D3C2312yes—
48C24×D3C2311yescharacteristic
49C23×C3×C4C2312yes—
50C23×C3×C4C2312yes—
51C23×C3×C4C2312yes—
52C23×C3×C4C2311yescharacteristic
53C23×Dic3C2312yes—
54C23×Dic3C2312yes—
55C23×Dic3C2311yescharacteristic
56C22×D12—28no—
57C22×D12—24no—
58C22×D12—24no—
59C22×D12—28no—
60C22×D12—22no—
61C22×D12—22no—
62C22×D12—22no—
63C22×D12—22no—
64C22×D12—22no—
65C22×D12—22no—
66C22×D12C2×C418yes—
67C22×D12C2×C414yescomplemented
68C22×C4×D3—22no—
69C22×C4×D3—22no—
70C22×C4×D3—22no—
71C22×C4×D3—22no—
72C22×C4×D3—24no—
73C22×C4×D3—24no—
74C22×C4×D3—24no—
75C22×C4×D3—28no—
76C22×C4×D3—44no—
77C22×C4×D3C2×C414yes—
78C22×C4×D3D414yes—
79C22×C4×D3D414yes—
80C2×C3×C4⋊C4—22no—
81C2×C3×C4⋊C4—22no—
82C2×C3×C4⋊C4—22no—
83C2×C3×C4⋊C4—22no—
84C2×C3×C4⋊C4C2×C414yescomplemented
85C2×C3×C4⋊C4D414yescomplemented
86C2×C3×C42—22no—
87C2×C3×C42—22no—
88C2×C3×C42—22no—
89C2×(C2×D3)⋊C4—24no—
90C2×(C2×D3)⋊C4—24no—
91C2×(C2×D3)⋊C4—24no—
92C2×(C2×D3)⋊C4—24no—
93C2×(C2×D3)⋊C4—28no—
94C2×(C2×D3)⋊C4—28no—
95C2×(C2×D3)⋊C4—28no—
96C2×(C2×D3)⋊C4—28no—
97C2×(C2×D3)⋊C4—44no—
98C2×(C2×D3)⋊C4—44no—
99C2×(C2×D3)⋊C4C2×C418yescomplemented
100C2×(C2×D3)⋊C4D418yescomplemented
101C2×C4⋊Dic3—22no—
102C2×C4⋊Dic3—22no—
103C2×C4⋊Dic3D414yescomplemented
104C2×Dic3⋊C4—24no—
105C2×Dic3⋊C4—24no—
106C2×Dic3⋊C4—24no—
107C2×C4×Dic3—22no—
108C2×C4×Dic3—22no—
109C2×C4×Dic3—22no—
110#895—232no—
111D3×C4⋊C4—232no—
112C3×#95—28no—
113C3⋊#95—28no—
114C3⋊#95—24no—
115C23×D4—32no—
116C23×D4—31no—
117C24×C4—31no—
118C24×C4—32no—
119C2×#121—38no—
120C2×#121—64no—
121C2×#121—64no—
122C22×C4⋊C4—31no—
123C22×C4⋊C4—32no—
124C22×C4⋊C4—64no—
125C22×C4⋊C4—64no—
126C22×C4⋊C4—64no—
127C22×C4⋊C4C2×D311yescharacteristic
128C22×C4⋊C4C2×D311yescharacteristic
129C22×C22⋊C4—32no—
130C22×C22⋊C4—32no—
131C22×C22⋊C4—34no—
132C22×C22⋊C4—34no—
133C22×C42—31no—
134C22×C42C2×D311yescharacteristic
135#390—64no—
136#390—64no—
137#386—616no—
138C4×C22⋊C4—64no—
139C2×#95—34no—
140C2×#95—32no—
141C2×#95C2×D314yes—
142C24×C3C2411yescharacteristic
143C23×D3—21no—
144C23×D3—21no—
145C23×D3—21no—
146C23×D3—21no—
147C23×D3—22no—
148C23×D3—22no—
149C23×D3—22no—
150C23×D3—22no—
151C23×D3—24no—
152C23×D3—22no—
153C23×D3—22no—
154C23×D3—22no—
155C23×D3—22no—
156C23×D3—24no—
157C23×D3—24no—
158C23×D3—24no—
159C23×D3C22×C414yes—
160C23×D3C22×C412yes—
161C23×D3C2×D412yes—
162C23×D3C2×D412yes—
163C23×D3C2×D414yes—
164C23×D3#4114yes—
165C22×C3×C4—24no—
166C22×C3×C4—22no—
167C22×C3×C4—24no—
168C22×C3×C4—22no—
169C22×C3×C4—22no—
170C22×C3×C4—22no—
171C22×C3×C4—22no—
172C22×C3×C4—22no—
173C22×C3×C4—22no—
174C22×C3×C4—22no—
175C22×C3×C4—24no—
176C22×C3×C4—22no—
177C22×C3×C4—24no—
178C22×C3×C4—22no—
179C22×C3×C4C22×C414yes—
180C22×C3×C4C22×C412yes—
181C22×C3×C4C2×D414yes—
182C22×C3×C4C2×D412yes—
183C22×C3×C4C2×D414yes—
184C22×C3×C4C2×D412yes—
185C22×C3×C4C2×D412yes—
186C22×C3×C4C2×D412yes—
187C22×C3×C4#4112yes—
188C22×C3×C4#4112yes—
189C22×Dic3—21no—
190C22×Dic3—21no—
191C22×Dic3—21no—
192C22×Dic3—21no—
193C22×Dic3—22no—
194C22×Dic3—24no—
195C22×Dic3—22no—
196C22×Dic3—22no—
197C22×Dic3—22no—
198C22×Dic3—22no—
199C22×Dic3—22no—
200C22×Dic3—22no—
201C22×Dic3—24no—
202C22×Dic3—22no—
203C22×Dic3C22×C412yes—
204C22×Dic3C2×D414yes—
205C22×Dic3C2×D414yes—
206C22×Dic3C2×D412yes—
207C22×Dic3C2×D412yes—
208C2×D12—216no—
209C2×D12—232no—
210C2×D12—28no—
211C2×D12—28no—
212C2×D12—28no—
213C2×D12—416no—
214C2×D12—48no—
215C2×D12—48no—
216C2×D12—44no—
217C2×D12—44no—
218C2×D12—44no—
219C2×D12—44no—
220C2×C4×D3—28no—
221C2×C4×D3—28no—
222C2×C4×D3—28no—
223C2×C4×D3—28no—
224C2×C4×D3—28no—
225C2×C4×D3—28no—
226C2×C4×D3—216no—
227C2×C4×D3—416no—
228C2×C4×D3—416no—
229C2×C4×D3—48no—
230C2×C4×D3—48no—
231C2×C4×D3C22⋊C4116yescomplemented
232C3×C4⋊C4—28no—
233C3×C4⋊C4—28no—
234C3×C42—44no—
235(C2×D3)⋊C4—216no—
236(C2×D3)⋊C4—216no—
237(C2×D3)⋊C4—416no—
238(C2×D3)⋊C4—416no—
239C4⋊Dic3—28no—
240Dic3⋊C4—216no—
241C4×Dic3—44no—
242C25—31no—
243C25—32no—
244C22×D4—38no—
245C22×D4—34no—
246C22×D4—64no—
247C22×D4—64no—
248C22×D4—68no—
249C22×D4—68no—
250C22×D4—62no—
251C22×D4—62no—
252C22×D4—62no—
253C22×D4—62no—
254C22×D4—62no—
255C22×D4—62no—
256C23×C4—31no—
257C23×C4—34no—
258C23×C4—34no—
259C23×C4—34no—
260C23×C4—32no—
261C23×C4—32no—
262C23×C4—64no—
263C23×C4—64no—
264C23×C4—68no—
265C23×C4—62no—
266C23×C4—62no—
267C23×C4—62no—
268C23×C4—62no—
269C23×C4—64no—
270C23×C4—124no—
271C23×C4C22×D312yes—
272C23×C4C22×D312yes—
273C23×C4C22×D312yes—
274C23×C4C22×D311yescharacteristic
275#121—632no—
276C2×C4⋊C4—22no—
277C2×C4⋊C4—22no—
278C2×C4⋊C4—22no—
279C2×C4⋊C4—22no—
280C2×C4⋊C4—34no—
281C2×C4⋊C4—632no—
282C2×C4⋊C4—64no—
283C2×C4⋊C4—64no—
284C2×C4⋊C4—64no—
285C2×C4⋊C4—62no—
286C2×C4⋊C4—62no—
287C2×C4⋊C4C4×D314yescomplemented
288C2×C4⋊C4D1214yescomplemented
289C2×C22⋊C4—38no—
290C2×C22⋊C4—38no—
291C2×C22⋊C4—64no—
292C2×C22⋊C4—64no—
293C2×C22⋊C4—64no—
294C2×C22⋊C4—64no—
295C2×C22⋊C4—68no—
296C2×C22⋊C4—68no—
297C2×C22⋊C4—68no—
298C2×C22⋊C4—68no—
299C2×C22⋊C4—124no—
300C2×C22⋊C4—124no—
301C2×C42—22no—
302C2×C42—22no—
303C2×C42—22no—
304C2×C42—62no—
305C2×C42—62no—
306C2×C42—62no—
307#95—28no—
308#95—64no—
309#95—68no—
310C23×C3C23×C411yescharacteristic
311C23×C3C22×D411yescharacteristic
312C23×C3C22×D411yescharacteristic
313C23×C3C22×D411yescharacteristic
314C23×C3C22×D411yescharacteristic
315C23×C3C22×D412yes—
316C23×C3C2×#4111yescharacteristic
317C23×C3C2×#4111yescharacteristic
318C23×C3C2×#4112yes—
319C23×C3H(5,𝔽2)12yes—
320C23×C32−1+412yes—
321C22×D3—22no—
322C22×D3—22no—
323C22×D3—24no—
324C22×D3—22no—
325C22×D3—22no—
326C22×D3—22no—
327C22×D3—22no—
328C22×D3—22no—
329C22×D3—22no—
330C22×D3—24no—
331C22×D3—24no—
332C22×D3—24no—
333C22×D3—24no—
334C22×D3—24no—
335C22×D3—24no—
336C22×D3—24no—
337C22×D3—24no—
338C22×D3—24no—
339C22×D3—24no—
340C22×D3—24no—
341C22×D3—24no—
342C22×D3—28no—
343C22×D3—28no—
344C22×D3—42no—
345C22×D3—42no—
346C22×D3—42no—
347C22×D3—44no—
348C22×D3—42no—
349C22×D3—42no—
350C22×D3—42no—
351C22×D3—42no—
352C22×D3—42no—
353C22×D3—44no—
354C22×D3—44no—
355C22×D3—44no—
356C22×D3—44no—
357C22×D3—44no—
358C22×D3—44no—
359C22×D3—44no—
360C22×D3—44no—
361C22×D3—44no—
362C22×D3C2×C22⋊C414yes—
363C22×D3C4×D418yes—
364C22×D3#12118yes—
365C22×D3#12414yes—
366C22×D3#12714yes—
367C2×C3×C4—24no—
368C2×C3×C4—28no—
369C2×C3×C4—24no—
370C2×C3×C4—24no—
371C2×C3×C4—24no—
372C2×C3×C4—28no—
373C2×C3×C4—24no—
374C2×C3×C4—42no—
375C2×C3×C4—44no—
376C2×C3×C4—42no—
377C2×C3×C4—42no—
378C2×C3×C4—42no—
379C2×C3×C4—42no—
380C2×C3×C4—42no—
381C2×C3×C4—44no—
382C2×C3×C4—42no—
383C2×C3×C4—42no—
384C2×C3×C4C2×C22⋊C414yes—
385C2×C3×C4C4×D414yes—
386C2×C3×C4C4×D414yes—
387C2×C3×C4#12014yes—
388C2×C3×C4#12114yes—
389C2×C3×C4#12114yes—
390C2×C3×C4#12314yes—
391C2×Dic3—22no—
392C2×Dic3—22no—
393C2×Dic3—22no—
394C2×Dic3—22no—
395C2×Dic3—22no—
396C2×Dic3—22no—
397C2×Dic3—24no—
398C2×Dic3—24no—
399C2×Dic3—24no—
400C2×Dic3—28no—
401C2×Dic3—24no—
402C2×Dic3—42no—
403C2×Dic3—42no—
404C2×Dic3—42no—
405C2×Dic3—42no—
406C2×Dic3—44no—
407C2×Dic3—42no—
408C2×Dic3—42no—
409C2×Dic3C2×C22⋊C414yes—
410D12—432no—
411D12—416no—
412C4×D3—232no—
413C4×D3—432no—
414C24—32no—
415C24—34no—
416C24—32no—
417C24—32no—
418C24—34no—
419C24—34no—
420C24—61no—
421C24—61no—
422C24—61no—
423C24—61no—
424C24—62no—
425C24—62no—
426C24—62no—
427C24—62no—
428C24—62no—
429C24—64no—
430C24—62no—
431C24—62no—
432C24—62no—
433C24—64no—
434C24—64no—
435C24—64no—
436C24C23×D311yescharacteristic
437C2×D4—616no—
438C2×D4—632no—
439C2×D4—68no—
440C2×D4—68no—
441C2×D4—68no—
442C2×D4—128no—
443C2×D4—128no—
444C2×D4—1216no—
445C2×D4—124no—
446C2×D4—124no—
447C2×D4—124no—
448C2×D4—124no—
449C22×C4—22no—
450C22×C4—24no—
451C22×C4—24no—
452C22×C4—22no—
453C22×C4—22no—
454C22×C4—22no—
455C22×C4—22no—
456C22×C4—22no—
457C22×C4—22no—
458C22×C4—22no—
459C22×C4—22no—
460C22×C4—24no—
461C22×C4—22no—
462C22×C4—24no—
463C22×C4—32no—
464C22×C4—32no—
465C22×C4—32no—
466C22×C4—316no—
467C22×C4—34no—
468C22×C4—34no—
469C22×C4—616no—
470C22×C4—61no—
471C22×C4—61no—
472C22×C4—61no—
473C22×C4—61no—
474C22×C4—68no—
475C22×C4—68no—
476C22×C4—68no—
477C22×C4—68no—
478C22×C4—68no—
479C22×C4—68no—
480C22×C4—62no—
481C22×C4—62no—
482C22×C4—62no—
483C22×C4—64no—
484C22×C4—62no—
485C22×C4—62no—
486C22×C4—62no—
487C22×C4—62no—
488C22×C4—62no—
489C22×C4—64no—
490C22×C4—1216no—
491C22×C4—1216no—
492C22×C4—128no—
493C22×C4—128no—
494C22×C4C2×C4×D314yes—
495C22×C4C2×C4×D312yes—
496C22×C4C2×D1214yes—
497C22×C4C2×D1212yes—
498C22×C4#23512yes—
499C22×C4D3×D414yes—
500C22×C4D3×D412yes—
501C22×C4D3×D412yes—
502C22×C4D3×D412yes—
503C22×C4#23912yes—
504C4⋊C4—28no—
505C4⋊C4—28no—
506C4⋊C4—616no—
507C4⋊C4—68no—
508C22⋊C4—616no—
509C22⋊C4—616no—
510C22⋊C4—1216no—
511C22⋊C4—1216no—
512C42—44no—
513C42—124no—
514C22×C3C22×C22⋊C411yescharacteristic
515C22×C3C2×C4×D411yescharacteristic
516C22×C3C2×C4×D411yescharacteristic
517C22×C3C2×C4×D412yes—
518C22×C3#52012yes—
519C22×C3C2×#12011yescharacteristic
520C22×C3C2×#12111yescharacteristic
521C22×C3C2×#12111yescharacteristic
522C22×C3C2×#12112yes—
523C22×C3C2×#12311yescharacteristic
524C22×C3C2×#12411yescharacteristic
525C22×C3C2×#12711yescharacteristic
526C22×C3#53511yescharacteristic
527C22×C3#53611yescharacteristic
528C22×C3#53712yes—
529C22×C3D4212yes—
530C22×C3D4212yes—
531C22×C3#54712yes—
532C22×C3#54712yes—
533C22×C3#54812yes—
534C22×C3#54812yes—
535C22×C3#55312yes—
536C22×C3#55312yes—
537C2×D3—24no—
538C2×D3—28no—
539C2×D3—28no—
540C2×D3—28no—
541C2×D3—28no—
542C2×D3—24no—
543C2×D3—24no—
544C2×D3—24no—
545C2×D3—24no—
546C2×D3—24no—
547C2×D3—44no—
548C2×D3—48no—
549C2×D3—48no—
550C2×D3—44no—
551C2×D3—44no—
552C2×D3—84no—
553C2×D3—84no—
554C2×D3—82no—
555C2×D3—82no—
556C2×D3—82no—
557C2×D3—82no—
558C2×D3#39018yescomplemented
559C3×C4—44no—
560C3×C4—44no—
561C3×C4—44no—
562C3×C4#38618yescomplemented
563Dic3—24no—
564Dic3—44no—
565Dic3—44no—
566C23—34no—
567C23—34no—
568C23—34no—
569C23—38no—
570C23—38no—
571C23—64no—
572C23—62no—
573C23—64no—
574C23—62no—
575C23—64no—
576C23—62no—
577C23—62no—
578C23—62no—
579C23—62no—
580C23—62no—
581C23—62no—
582C23—64no—
583C23—64no—
584C23—64no—
585C23—64no—
586C23—64no—
587C23—64no—
588C23—64no—
589C23—64no—
590C23—64no—
591C23—64no—
592C23—68no—
593C23—68no—
594C23—124no—
595C23—122no—
596C23—122no—
597C23—124no—
598C23—122no—
599C23—122no—
600C23—124no—
601C23—122no—
602C23—122no—
603C23—122no—
604C23—122no—
605C23—124no—
606C23—124no—
607C23—124no—
608C23—124no—
609C23—124no—
610C23—124no—
611C23—124no—
612C23C22×C4×D311yescharacteristic
613C23C22×D1211yescharacteristic
614C23C2×#23511yescharacteristic
615C23C2×D3×D411yescharacteristic
616C23C2×D3×D411yescharacteristic
617C23C2×D3×D412yes—
618C23C2×D3×D411yescharacteristic
619C23C2×#23911yescharacteristic
620C23#100712yes—
621C23D3×#4112yes—
622C23#100912yes—
623D4—1232no—
624D4—1216no—
625C2×C4—24no—
626C2×C4—24no—
627C2×C4—24no—
628C2×C4—28no—
629C2×C4—28no—
630C2×C4—24no—
631C2×C4—24no—
632C2×C4—34no—
633C2×C4—42no—
634C2×C4—42no—
635C2×C4—42no—
636C2×C4—42no—
637C2×C4—42no—
638C2×C4—42no—
639C2×C4—42no—
640C2×C4—44no—
641C2×C4—44no—
642C2×C4—42no—
643C2×C4—62no—
644C2×C4—62no—
645C2×C4—62no—
646C2×C4—62no—
647C2×C4—62no—
648C2×C4—62no—
649C2×C4—632no—
650C2×C4—64no—
651C2×C4—64no—
652C2×C4—64no—
653C2×C4—64no—
654C2×C4—68no—
655C2×C4—1232no—
656C2×C4—122no—
657C2×C4—122no—
658C2×C4—122no—
659C2×C4—122no—
660C2×C4—124no—
661C2×C4—122no—
662C2×C4—122no—
663C2×C4C4×D1214yes—
664C2×C4D3×C22⋊C414yes—
665C2×C4#88214yes—
666C2×C4#88414yes—
667C2×C4#89314yes—
668C2×C4#89414yes—
669C2×C4#89514yes—
670C2×C3C2×#38611yescharacteristic
671C2×C3C2×#39011yescharacteristic
672C2×C3#231111yescharacteristic
673C2×C3#236112yes—
674C2×C3#236112yes—
675C2×C3#241612yes—
676C2×C3#241612yes—
677C2×C3#243311yescharacteristic
678C2×C3#243611yescharacteristic
679C2×C3#250111yescharacteristic
680C2×C3#250411yescharacteristic
681D3—28no—
682D3—84no—
683C22—38no—
684C22—64no—
685C22—68no—
686C22—64no—
687C22—64no—
688C22—68no—
689C22—68no—
690C22—68no—
691C22—64no—
692C22—64no—
693C22—64no—
694C22—128no—
695C22—124no—
696C22—124no—
697C22—128no—
698C22—124no—
699C22—242no—
700C22—242no—
701C22—244no—
702C22—244no—
703C22—242no—
704C22—242no—
705C22C2×C4×D1211yescharacteristic
706C22C2×D3×C22⋊C411yescharacteristic
707C22C2×#88211yescharacteristic
708C22C2×#88411yescharacteristic
709C22C2×#89311yescharacteristic
710C22C2×#89411yescharacteristic
711C22C2×#89511yescharacteristic
712C22#550712yes—
713C22#553012yes—
714C22C4×D3×D412yes—
715C22D4×D1212yes—
716C22#557412yes—
717C22#557612yes—
718C22D3×#12112yes—
719C22#560912yes—
720C22#562912yes—
721C22#563312yes—
722C22D3×#12411yescharacteristic
723C22#567411yescharacteristic
724C22#569512yes—
725C22D3×#12711yescharacteristic
726C22#572411yescharacteristic
727C22#572612yes—
728C4—44no—
729C4—44no—
730C4—44no—
731C4—64no—
732C4—124no—
733C4—124no—
734C4#466518yescomplemented
735C3#1413711yescharacteristic, complemented, Sylow
736C2—68no—
737C2—244no—
738C2C2×#466511yescharacteristic
739C2#7377412yes—
740C2#7388712yes—
741C2#7416811yescharacteristic
742C2#7432811yescharacteristic
743C2#7620612yes—
744C2#7621112yes—
745C2#7631411yescharacteristic
746C2D3×#39011yescharacteristic
747C2#7648211yescharacteristic
748C2#7650011yescharacteristic
subgroupG/H
center, FrattiniC24C23×D3
commutatorC23×C3C23×C4
FittingC3×C4⋊#95C2
socle, cosocleC24×C3C24
prime radicalC22×#895C2
hypercenterC4⋊#95D3
hypocenterC3#14137
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C24 ◁ C4⋊#95

Complements

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

NH ≅ G/Ntype
2. C22×D3×C4⋊C4C2semidirect
3. C2×#4988C2semidirect
4. C2×#4939C2semidirect
5. C2×C4×(C2×D3)⋊C4C2semidirect
6. C2×#4665C2semidirect
7. C3×C4⋊#95C2semidirect
8. #71563C2semidirect
9. #69428C2semidirect
27. C2×#895C4semidirect
46. C4⋊#95D3semidirect
67. C22×D12C2×C4semidirect
84. C2×C3×C4⋊C4C2×C4semidirect
85. C2×C3×C4⋊C4D4semidirect
99. C2×(C2×D3)⋊C4C2×C4semidirect
100. C2×(C2×D3)⋊C4D4semidirect
103. C2×C4⋊Dic3D4semidirect
231. C2×C4×D3C22⋊C4semidirect
287. C2×C4⋊C4C4×D3semidirect
288. C2×C4⋊C4D12semidirect
558. C2×D3#390semidirect
562. C3×C4#386semidirect
734. C4#4665semidirect
735. C3#14137semidirect

Maximal subgroups

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

subgroupindex
C22×#8952
C22×D3×C4⋊C42
C2×#49882
C2×#49392
C2×C4×(C2×D3)⋊C42
C2×#46652
C3×C4⋊#952
#715632
#694282
#141373