Finite Group Databasebeta

← #10720186

Subgroups — #10720186

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×#938C211yesmaximal, characteristic
2C22×D3×C4⋊C4C211yesmaximal, characteristic, complemented
3C2×C3×#390C211yesmaximal, characteristic, complemented
4C2×#5221C211yesmaximal, characteristic, complemented
5C2×#4956C214yesmaximal, complemented
6C2×C4×(C2×D3)⋊C4C211yesmaximal, characteristic, complemented
7#71563C211yesmaximal, characteristic, complemented
8#71547C214yesmaximal, complemented
9#71535C211yesmaximal, characteristic, complemented
10#14137—31nomaximal, Sylow
11C23×C3×D4C2211yescharacteristic
12C23×#67C2212yes—
13C23×C4×D3C2212yes—
14C23×C4×D3C2211yescharacteristic
15C22×C3×C4⋊C4C2211yescharacteristic
16C22×C3×C22⋊C4C2214yes—
17C22×C3×C42C2211yescharacteristic
18C22×#217C2214yes—
19C22×#217C2212yes—
20C2×#938—24no—
21C2×#938—24no—
22C2×#938C418yescomplemented
23C22×(C2×D3)⋊C4C2212yes—
24C22×C4⋊Dic3C2211yescharacteristic
25C22×C4⋊Dic3C2211yescharacteristic
26C22×Dic3⋊C4C2212yes—
27C22×C4×Dic3C2211yescharacteristic
28C2×D3×C4⋊C4—24no—
29C2×D3×C4⋊C4—24no—
30C2×D3×C4⋊C4—24no—
31C3×#390—24no—
32#5221—24no—
33C2×C3⋊#95C2214yes—
34C2×C3⋊#95C2212yes—
35C2×C3⋊#95C2214yes—
36#4956—216no—
37C4×(C2×D3)⋊C4—24no—
38C22×#121—31no—
39C23×C4⋊C4—31no—
40C2×#390—31no—
41C2×#390D311yescharacteristic, complemented
42C2×#386—34no—
43C2×C4×C22⋊C4—31no—
44#1439—34no—
45C4⋊#95—31no—
46C4⋊#95—31no—
47C25×C3C2312yes—
48C24×D3C2311yescharacteristic
49C22×C3×D4—22no—
50C22×C3×D4—22no—
51C22×C3×D4—22no—
52C22×C3×D4—22no—
53C22×C3×D4—22no—
54C22×C3×D4—22no—
55C22×C3×D4C2×C414yescomplemented
56C23×C3×C4C2312yes—
57C23×C3×C4C2312yes—
58C23×C3×C4C2311yescharacteristic
59C22×#67—28no—
60C22×#67—24no—
61C22×#67—24no—
62C22×#67—28no—
63C22×#67C2×C418yes—
64C23×Dic3C2312yes—
65C23×Dic3C2312yes—
66C23×Dic3C2312yes—
67C23×Dic3C2311yescharacteristic
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⋊C4D414yescomplemented
83C2×C3×C22⋊C4—28no—
84C2×C3×C22⋊C4—28no—
85C2×C3×C22⋊C4—44no—
86C2×C3×C42—22no—
87C2×C3×C42—22no—
88C2×C3×C42—22no—
89C2×#217—24no—
90C2×#217—24no—
91C2×#217—28no—
92C2×#217—28no—
93C2×#217—44no—
94C2×#217C2×C418yescomplemented
95#938—232no—
96C2×(C2×D3)⋊C4—24no—
97C2×(C2×D3)⋊C4—24no—
98C2×(C2×D3)⋊C4D418yescomplemented
99C2×C4⋊Dic3—22no—
100C2×C4⋊Dic3—22no—
101C2×C4⋊Dic3—22no—
102C2×C4⋊Dic3—22no—
103C2×C4⋊Dic3C2×C414yescomplemented
104C2×C4⋊Dic3D414yescomplemented
105C2×Dic3⋊C4—24no—
106C2×Dic3⋊C4—24no—
107C2×Dic3⋊C4—24no—
108C2×C4×Dic3—22no—
109C2×C4×Dic3—22no—
110C2×C4×Dic3—22no—
111D3×C4⋊C4—232no—
112C3⋊#95—28no—
113C3⋊#95—24no—
114C3⋊#95—28no—
115C23×D4—32no—
116C23×D4C2×D311yescharacteristic
117C24×C4—31no—
118C24×C4—32no—
119C2×#121—38no—
120C2×#121—64no—
121C2×#121—64no—
122C22×C4⋊C4—31no—
123C22×C4⋊C4—31no—
124C22×C4⋊C4—32no—
125C22×C4⋊C4—64no—
126C22×C4⋊C4—64no—
127C22×C4⋊C4—64no—
128C22×C4⋊C4C2×D311yescharacteristic
129C22×C22⋊C4—32no—
130C22×C22⋊C4—32no—
131C22×C22⋊C4—34no—
132C22×C22⋊C4C2×D314yes—
133C22×C42—31no—
134C22×C42C2×D311yescharacteristic
135#390—24no—
136#390—64no—
137#386—616no—
138C4×C22⋊C4—64no—
139C2×#95—34no—
140C2×#95—34no—
141C2×#95—32no—
142C24×C3—22no—
143C24×C3—24no—
144C24×C3—22no—
145C24×C3—22no—
146C24×C3—22no—
147C24×C3—24no—
148C24×C3—22no—
149C24×C3—22no—
150C24×C3—24no—
151C24×C3—24no—
152C24×C3C22×C414yes—
153C24×C3C2411yescharacteristic
154C23×D3—21no—
155C23×D3—21no—
156C23×D3—21no—
157C23×D3—21no—
158C23×D3—22no—
159C23×D3—22no—
160C23×D3C22×C412yes—
161C23×D3C2×D412yes—
162C23×D3C2×D412yes—
163C23×D3C2×D414yes—
164C23×D3#4114yes—
165C2×C3×D4—28no—
166C2×C3×D4—28no—
167C2×C3×D4—28no—
168C2×C3×D4—44no—
169C2×C3×D4—44no—
170C2×C3×D4—44no—
171C2×C3×D4—44no—
172C22×C3×C4—22no—
173C22×C3×C4—24no—
174C22×C3×C4—22no—
175C22×C3×C4—22no—
176C22×C3×C4—22no—
177C22×C3×C4—22no—
178C22×C3×C4—22no—
179C22×C3×C4—22no—
180C22×C3×C4—24no—
181C22×C3×C4—22no—
182C22×C3×C4C22×C412yes—
183C22×C3×C4C2×D414yes—
184C22×C3×C4C2×D412yes—
185C22×C3×C4C2×D412yes—
186C22×C3×C4C2×D412yes—
187C22×C3×C4C2×D414yes—
188C22×C3×C4C2×D412yes—
189C22×C3×C4#4112yes—
190C22×C3×C4#4112yes—
191C2×#67—216no—
192C2×#67—232no—
193C2×#67—416no—
194C2×#67—48no—
195C2×#67—48no—
196C22×Dic3—21no—
197C22×Dic3—21no—
198C22×Dic3—21no—
199C22×Dic3—21no—
200C22×Dic3—24no—
201C22×Dic3—22no—
202C22×Dic3—24no—
203C22×Dic3—22no—
204C22×Dic3—22no—
205C22×Dic3—22no—
206C22×Dic3—22no—
207C22×Dic3—22no—
208C22×Dic3—22no—
209C22×Dic3—22no—
210C22×Dic3—24no—
211C22×Dic3—22no—
212C22×Dic3—24no—
213C22×Dic3—22no—
214C22×Dic3C22×C414yes—
215C22×Dic3C22×C412yes—
216C22×Dic3C2×D414yes—
217C22×Dic3C2×D414yes—
218C22×Dic3C2×D412yes—
219C22×Dic3C2×D412yes—
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×C22⋊C4—416no—
234C3×C42—44no—
235#217—216no—
236#217—416no—
237(C2×D3)⋊C4—216no—
238C4⋊Dic3—28no—
239C4⋊Dic3—28no—
240Dic3⋊C4—216no—
241C4×Dic3—44no—
242C25—31no—
243C25C22×D312yes—
244C22×D4—22no—
245C22×D4—22no—
246C22×D4—22no—
247C22×D4—22no—
248C22×D4—22no—
249C22×D4—22no—
250C22×D4—38no—
251C22×D4—64no—
252C22×D4—64no—
253C22×D4—68no—
254C22×D4—68no—
255C22×D4C4×D314yescomplemented
256C23×C4—31no—
257C23×C4—34no—
258C23×C4—34no—
259C23×C4—34no—
260C23×C4—32no—
261C23×C4—32no—
262C23×C4—32no—
263C23×C4—64no—
264C23×C4—64no—
265C23×C4—68no—
266C23×C4—62no—
267C23×C4—62no—
268C23×C4—62no—
269C23×C4—62no—
270C23×C4—64no—
271C23×C4—124no—
272C23×C4C22×D312yes—
273C23×C4C22×D312yes—
274C23×C4C22×D311yescharacteristic
275#121—632no—
276C2×C4⋊C4—22no—
277C2×C4⋊C4—22no—
278C2×C4⋊C4—34no—
279C2×C4⋊C4—34no—
280C2×C4⋊C4—632no—
281C2×C4⋊C4—64no—
282C2×C4⋊C4—64no—
283C2×C4⋊C4—62no—
284C2×C4⋊C4—62no—
285C2×C4⋊C4—62no—
286C2×C4⋊C4—64no—
287C2×C4⋊C4—62no—
288C2×C4⋊C4#6714yescomplemented
289C2×C22⋊C4—28no—
290C2×C22⋊C4—28no—
291C2×C22⋊C4—38no—
292C2×C22⋊C4—38no—
293C2×C22⋊C4—44no—
294C2×C22⋊C4—64no—
295C2×C22⋊C4—64no—
296C2×C22⋊C4—64no—
297C2×C22⋊C4—64no—
298C2×C22⋊C4—68no—
299C2×C22⋊C4—68no—
300C2×C22⋊C4—124no—
301C2×C42—22no—
302C2×C42—22no—
303C2×C42—22no—
304C2×C42—62no—
305C2×C42—62no—
306C2×C42—62no—
307#95—64no—
308#95—68no—
309#95—68no—
310C23×C3—24no—
311C23×C3—28no—
312C23×C3—24no—
313C23×C3—24no—
314C23×C3—28no—
315C23×C3—42no—
316C23×C3—44no—
317C23×C3—42no—
318C23×C3—42no—
319C23×C3—42no—
320C23×C3—42no—
321C23×C3—42no—
322C23×C3—42no—
323C23×C3—42no—
324C23×C3—44no—
325C23×C3—44no—
326C23×C3—44no—
327C23×C3—44no—
328C23×C3—44no—
329C23×C3—44no—
330C23×C3—44no—
331C23×C3—44no—
332C23×C3—44no—
333C23×C3C23×C411yescharacteristic
334C23×C3C22×D411yescharacteristic
335C23×C3C22×D411yescharacteristic
336C23×C3C22×D411yescharacteristic
337C23×C3C22×D412yes—
338C23×C3C22×D411yescharacteristic
339C23×C3C2×#4111yescharacteristic
340C23×C3C2×#4111yescharacteristic
341C23×C3C2×#4112yes—
342C23×C3H(5,𝔽2)12yes—
343C23×C32−1+412yes—
344C22×D3—22no—
345C22×D3—22no—
346C22×D3—24no—
347C22×D3—22no—
348C22×D3—22no—
349C22×D3—22no—
350C22×D3—22no—
351C22×D3—22no—
352C22×D3—22no—
353C22×D3—24no—
354C22×D3—24no—
355C22×D3—24no—
356C22×D3—24no—
357C22×D3—24no—
358C22×D3—24no—
359C22×D3—24no—
360C22×D3—24no—
361C22×D3—24no—
362C22×D3C2×C22⋊C414yes—
363C22×D3C4×D418yes—
364C22×D3#12118yes—
365C22×D3#12414yes—
366C22×D3#12714yes—
367C3×D4—416no—
368C2×C3×C4—24no—
369C2×C3×C4—24no—
370C2×C3×C4—24no—
371C2×C3×C4—28no—
372C2×C3×C4—24no—
373C2×C3×C4—42no—
374C2×C3×C4—42no—
375C2×C3×C4—42no—
376C2×C3×C4—42no—
377C2×C3×C4—44no—
378C2×C3×C4—42no—
379C2×C3×C4—42no—
380C2×C3×C4C2×C22⋊C414yes—
381C2×C3×C4C4×D414yes—
382C2×C3×C4C4×D414yes—
383C2×C3×C4#12014yes—
384C2×C3×C4#12114yes—
385C2×C3×C4#12114yes—
386C2×C3×C4#12314yes—
387#67—432no—
388C2×Dic3—22no—
389C2×Dic3—22no—
390C2×Dic3—22no—
391C2×Dic3—22no—
392C2×Dic3—22no—
393C2×Dic3—22no—
394C2×Dic3—24no—
395C2×Dic3—28no—
396C2×Dic3—24no—
397C2×Dic3—24no—
398C2×Dic3—24no—
399C2×Dic3—28no—
400C2×Dic3—24no—
401C2×Dic3—42no—
402C2×Dic3—44no—
403C2×Dic3—42no—
404C2×Dic3—42no—
405C2×Dic3—42no—
406C2×Dic3—42no—
407C2×Dic3—42no—
408C2×Dic3—44no—
409C2×Dic3—42no—
410C2×Dic3—42no—
411C2×Dic3C2×C22⋊C414yes—
412C4×D3—232no—
413C4×D3—432no—
414C24—22no—
415C24—24no—
416C24—22no—
417C24—22no—
418C24—22no—
419C24—22no—
420C24—24no—
421C24—24no—
422C24—24no—
423C24—22no—
424C24—32no—
425C24—34no—
426C24—32no—
427C24—32no—
428C24—34no—
429C24—61no—
430C24—61no—
431C24—61no—
432C24—62no—
433C24—62no—
434C24—61no—
435C24C2×C4×D314yes—
436C24C23×D311yescharacteristic
437C2×D4—28no—
438C2×D4—28no—
439C2×D4—28no—
440C2×D4—44no—
441C2×D4—44no—
442C2×D4—44no—
443C2×D4—44no—
444C2×D4—616no—
445C2×D4—632no—
446C2×D4—128no—
447C2×D4—128no—
448C2×D4—1216no—
449C22×C4—22no—
450C22×C4—24no—
451C22×C4—22no—
452C22×C4—22no—
453C22×C4—22no—
454C22×C4—22no—
455C22×C4—24no—
456C22×C4—22no—
457C22×C4—22no—
458C22×C4—22no—
459C22×C4—32no—
460C22×C4—32no—
461C22×C4—32no—
462C22×C4—316no—
463C22×C4—34no—
464C22×C4—34no—
465C22×C4—34no—
466C22×C4—616no—
467C22×C4—61no—
468C22×C4—61no—
469C22×C4—61no—
470C22×C4—61no—
471C22×C4—68no—
472C22×C4—68no—
473C22×C4—68no—
474C22×C4—68no—
475C22×C4—68no—
476C22×C4—68no—
477C22×C4—62no—
478C22×C4—64no—
479C22×C4—62no—
480C22×C4—64no—
481C22×C4—62no—
482C22×C4—62no—
483C22×C4—62no—
484C22×C4—62no—
485C22×C4—62no—
486C22×C4—64no—
487C22×C4—62no—
488C22×C4—64no—
489C22×C4—62no—
490C22×C4—62no—
491C22×C4—1216no—
492C22×C4—1216no—
493C22×C4—128no—
494C22×C4—128no—
495C22×C4C2×C4×D312yes—
496C22×C4#23512yes—
497C22×C4D3×D414yes—
498C22×C4D3×D412yes—
499C22×C4D3×D412yes—
500C22×C4D3×D412yes—
501C22×C4#23712yes—
502C22×C4C2×#6714yes—
503C22×C4C2×#6712yes—
504C4⋊C4—28no—
505C4⋊C4—616no—
506C4⋊C4—68no—
507C4⋊C4—68no—
508C22⋊C4—416no—
509C22⋊C4—616no—
510C22⋊C4—616no—
511C22⋊C4—1216no—
512C42—44no—
513C42—124no—
514C22×C3—44no—
515C22×C3—48no—
516C22×C3—48no—
517C22×C3—44no—
518C22×C3—44no—
519C22×C3—84no—
520C22×C3—84no—
521C22×C3—82no—
522C22×C3—82no—
523C22×C3—82no—
524C22×C3—82no—
525C22×C3C22×C22⋊C411yescharacteristic
526C22×C3C2×C4×D411yescharacteristic
527C22×C3C2×C4×D411yescharacteristic
528C22×C3C2×C4×D412yes—
529C22×C3#52012yes—
530C22×C3C2×#12011yescharacteristic
531C22×C3C2×#12111yescharacteristic
532C22×C3C2×#12111yescharacteristic
533C22×C3C2×#12112yes—
534C22×C3C2×#12311yescharacteristic
535C22×C3C2×#12411yescharacteristic
536C22×C3C2×#12711yescharacteristic
537C22×C3#53511yescharacteristic
538C22×C3#53611yescharacteristic
539C22×C3#53712yes—
540C22×C3D4212yes—
541C22×C3D4212yes—
542C22×C3#54712yes—
543C22×C3#54712yes—
544C22×C3#54812yes—
545C22×C3#54812yes—
546C22×C3#55312yes—
547C22×C3#55312yes—
548C2×D3—24no—
549C2×D3—28no—
550C2×D3—28no—
551C2×D3—28no—
552C2×D3—28no—
553C2×D3—24no—
554C2×D3—24no—
555C2×D3—24no—
556C2×D3—24no—
557C2×D3—24no—
558C2×D3#39018yescomplemented
559C3×C4—44no—
560C3×C4—44no—
561C3×C4#38618yescomplemented
562Dic3—24no—
563Dic3—44no—
564Dic3—44no—
565Dic3—44no—
566C23—24no—
567C23—24no—
568C23—24no—
569C23—28no—
570C23—28no—
571C23—34no—
572C23—34no—
573C23—34no—
574C23—38no—
575C23—38no—
576C23—42no—
577C23—42no—
578C23—44no—
579C23—42no—
580C23—42no—
581C23—44no—
582C23—42no—
583C23—42no—
584C23—42no—
585C23—42no—
586C23—44no—
587C23—44no—
588C23—44no—
589C23—44no—
590C23—44no—
591C23—44no—
592C23—44no—
593C23—44no—
594C23—62no—
595C23—64no—
596C23—62no—
597C23—64no—
598C23—62no—
599C23—62no—
600C23—62no—
601C23—62no—
602C23—62no—
603C23—62no—
604C23—64no—
605C23—64no—
606C23—64no—
607C23—64no—
608C23—64no—
609C23—64no—
610C23—64no—
611C23—64no—
612C23C22×C4×D311yescharacteristic
613C23C2×#23511yescharacteristic
614C23C2×D3×D411yescharacteristic
615C23C2×D3×D411yescharacteristic
616C23C2×D3×D412yes—
617C23C2×D3×D411yescharacteristic
618C23C2×#23711yescharacteristic
619C23#100412yes—
620C23D3×#4112yes—
621C23#101012yes—
622C23C22×#6711yescharacteristic
623D4—416no—
624D4—1232no—
625C2×C4—24no—
626C2×C4—24no—
627C2×C4—28no—
628C2×C4—24no—
629C2×C4—24no—
630C2×C4—34no—
631C2×C4—42no—
632C2×C4—42no—
633C2×C4—44no—
634C2×C4—42no—
635C2×C4—42no—
636C2×C4—42no—
637C2×C4—42no—
638C2×C4—62no—
639C2×C4—62no—
640C2×C4—62no—
641C2×C4—62no—
642C2×C4—62no—
643C2×C4—62no—
644C2×C4—632no—
645C2×C4—64no—
646C2×C4—68no—
647C2×C4—64no—
648C2×C4—64no—
649C2×C4—68no—
650C2×C4—64no—
651C2×C4—64no—
652C2×C4—1232no—
653C2×C4—122no—
654C2×C4—122no—
655C2×C4—122no—
656C2×C4—122no—
657C2×C4—122no—
658C2×C4—122no—
659C2×C4—124no—
660C2×C4—122no—
661C2×C4—124no—
662C2×C4—122no—
663C2×C4D3×C22⋊C414yes—
664C2×C4#67⋊C414yes—
665C2×C4#88314yes—
666C2×C4#88414yes—
667C2×C4C4×#6714yes—
668C2×C4#93714yes—
669C2×C4#93814yes—
670C2×C3—84no—
671C2×C3C2×#38611yescharacteristic
672C2×C3C2×#39011yescharacteristic
673C2×C3#231111yescharacteristic
674C2×C3#236112yes—
675C2×C3#236112yes—
676C2×C3#241612yes—
677C2×C3#241612yes—
678C2×C3#243311yescharacteristic
679C2×C3#243611yescharacteristic
680C2×C3#250111yescharacteristic
681C2×C3#250411yescharacteristic
682D3—28no—
683C22—38no—
684C22—44no—
685C22—44no—
686C22—48no—
687C22—44no—
688C22—48no—
689C22—64no—
690C22—64no—
691C22—64no—
692C22—64no—
693C22—68no—
694C22—68no—
695C22—64no—
696C22—68no—
697C22—68no—
698C22—64no—
699C22—82no—
700C22—82no—
701C22—82no—
702C22—84no—
703C22—84no—
704C22—82no—
705C22C2×D3×C22⋊C411yescharacteristic
706C22C2×#67⋊C411yescharacteristic
707C22C2×#88311yescharacteristic
708C22C2×#88411yescharacteristic
709C22C4×D3×D412yes—
710C22#554612yes—
711C22#555112yes—
712C22#555812yes—
713C22D3×#12112yes—
714C22#560812yes—
715C22#561112yes—
716C22#561412yes—
717C22D3×#12411yescharacteristic
718C22#567511yescharacteristic
719C22#567712yes—
720C22D3×#12711yescharacteristic
721C22#571511yescharacteristic
722C22#571712yes—
723C22C2×C4×#6711yescharacteristic
724C22C2×#93711yescharacteristic
725C22C2×#93811yescharacteristic
726C22D4×#6712yes—
727C22#583112yes—
728C4—44no—
729C4—44no—
730C4—64no—
731C4—124no—
732C4—124no—
733C4—124no—
734C4#495618yescomplemented
735C3#1413711yescharacteristic, complemented, Sylow
736C2—68no—
737C2—84no—
738C2#7629411yescharacteristic
739C2#7633511yescharacteristic
740C2#7633611yescharacteristic
741C2D3×#39011yescharacteristic
742C2#7643312yes—
743C2#7643912yes—
744C2C2×#495611yescharacteristic
745C2#8239912yes—
746C2#8264112yes—
747C2#8296111yescharacteristic
748C2#8317511yescharacteristic
subgroupG/H
center, FrattiniC24C23×D3
commutatorC23×C3C23×C4
FittingC2×C3×#390C2
socle, cosocleC24×C3C24
prime radicalC22×#938C2
hypercenterC2×#390D3
hypocenterC3#14137
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C24 ◁ C2×#390

Complements

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

NH ≅ G/Ntype
2. C22×D3×C4⋊C4C2semidirect
3. C2×C3×#390C2semidirect
4. C2×#5221C2semidirect
5. C2×#4956C2semidirect
6. C2×C4×(C2×D3)⋊C4C2semidirect
7. #71563C2semidirect
8. #71547C2semidirect
9. #71535C2semidirect
22. C2×#938C4semidirect
41. C2×#390D3semidirect
55. C22×C3×D4C2×C4semidirect
82. C2×C3×C4⋊C4D4semidirect
94. C2×#217C2×C4semidirect
98. C2×(C2×D3)⋊C4D4semidirect
103. C2×C4⋊Dic3C2×C4semidirect
104. C2×C4⋊Dic3D4semidirect
231. C2×C4×D3C22⋊C4semidirect
255. C22×D4C4×D3semidirect
288. C2×C4⋊C4#67semidirect
558. C2×D3#390semidirect
561. C3×C4#386semidirect
734. C4#4956semidirect
735. C3#14137semidirect

Maximal subgroups

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

subgroupindex
C22×#9382
C22×D3×C4⋊C42
C2×C3×#3902
C2×#52212
C2×#49562
C2×C4×(C2×D3)⋊C42
#715632
#715472
#715352
#141373