Finite Group Databasebeta

← #10963982

Subgroups — #10963982

Order 768.

2598 conjugacy classes of subgroups.

The subgroup lattice has 706 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×D3×#117C211yesmaximal, characteristic
2C2×#5470C211yesmaximal, characteristic, complemented
3C3×#2296C211yesmaximal, characteristic, complemented
4#82267C211yesmaximal, characteristic
5#82226C211yesmaximal, characteristic, complemented
6#82224C211yesmaximal, characteristic, complemented
7C2×C4×(C2×D3)⋊C4C211yesmaximal, characteristic
8#76224C212yesmaximal, complemented
9#76223C212yesmaximal, complemented
10#76002C212yesmaximal, complemented
11#75998C212yesmaximal, complemented
12#74607C214yesmaximal
13#74414C214yesmaximal, complemented
14#73778C214yesmaximal, complemented
15C4×#896C214yesmaximal, complemented
16#34739—31nomaximal, Sylow
17C23×C4×D3C2211yescharacteristic
18C2×C3×#117C2211yescharacteristic
19C2×C3×#117C2211yescharacteristic
20C22×C3×C42C2211yescharacteristic
21C22×(C2×D3)⋊C4C2212yes—
22C2×#926C2211yescharacteristic
23C2×#926C2211yescharacteristic
24C2×#924C2214yes—
25C22×C4×Dic3C2211yescharacteristic
26D3×#117—28no—
27C2×#896C2214yes—
28C2×#892C2212yes—
29C2×D3×C4⋊C4C2212yes—
30C2×D3×C22⋊C4C2212yes—
31C2×#877C2212yes—
32C2×#872C2212yes—
33C2×C42×D3C2212yes—
34#5470—28no—
35C2×#870C2212yescomplemented
36C2×#869C2212yescomplemented
37C2×C4×Dic6C2214yescomplemented
38C3×#389C2212yescomplemented
39C3×#389C2212yescomplemented
40C3×#385C2214yes—
41C3×C4×C4⋊C4C2214yescomplemented
42C2×C3⋊#95C2212yes—
43#4994C2214yes—
44#4993C2214yes—
45#4989C2214yes—
46#4987C2212yes—
47#4987C2212yes—
48#4983C2214yescomplemented
49#4980C2214yescomplemented
50#4979C2214yescomplemented
51#4977C2212yescomplemented
52#4976C2214yescomplemented
53#4975C2212yescomplemented
54#4972C2212yescomplemented
55#4972C2212yescomplemented
56#4955C2212yes—
57#4946C2214yes—
58#4943C2212yes—
59#4942C2214yes—
60C4×(C2×D3)⋊C4C2212yes—
61C4×(C2×D3)⋊C4C2212yes—
62C4×(C2×D3)⋊C4C2212yes—
63C4×(C2×D3)⋊C4C2212yes—
64C4×(C2×D3)⋊C4C2211yescharacteristic
65C4×(C2×D3)⋊C4C2211yescharacteristic
66C4×(C2×D3)⋊C4C2211yescharacteristic
67C4×(C2×D3)⋊C4C2211yescharacteristic
68C4×Dic3⋊C4C2214yescomplemented
69C4×Dic3⋊C4C2214yescomplemented
70#4676C2214yes—
71#4673C2214yes—
72#4668C2214yes—
73#4667C2214yes—
74#4658C2214yescomplemented
75#4657C2214yescomplemented
76#4652C2214yescomplemented
77#4646C2214yescomplemented
78C2×#533—31no—
79C22×#117—31no—
80#2442—32no—
81#2441—32no—
82#2440—32no—
83#2439—32no—
84#2438—34no—
85#2437—34no—
86#2396—34no—
87C4×C22⋊Q8—34no—
88#2296—31no—
89#2296D311yescharacteristic, complemented
90#2285—31no—
91#2280—31no—
92C2×C4×C22⋊C4—31no—
93C24×D3C2311yescharacteristic
94C23×C3×C4C2312yes—
95C23×C3×C4C2311yescharacteristic
96C23×Dic3C2312yes—
97C23×Dic3C2311yescharacteristic
98C22×C4×D3—24no—
99C22×C4×D3—24no—
100C22×C4×D3Q818yescomplemented
101C22×C4×D3C2314yes—
102C22×C4×D3C2311yescharacteristic
103C22×C4×D3C2311yescharacteristic
104C22×C4×D3C2311yescharacteristic
105C22×C4×D3C2311yescharacteristic
106C22×Dic6C2314yes—
107C3×#117—24no—
108C3×#117—24no—
109C2×C3×C4⋊C4C2312yes—
110C2×C3×C4⋊C4C2312yes—
111C2×C3×C4⋊C4C2314yes—
112C2×C3×C4⋊C4C2314yes—
113C2×C3×C22⋊C4C2312yes—
114C2×C3×C22⋊C4C2312yes—
115C2×C3×C42—24no—
116C2×C3×C42C2312yes—
117C2×C3×C42C2312yes—
118C2×C3×C42C2312yes—
119C2×C3×C42C2311yescharacteristic
120C2×C3×C42C2311yescharacteristic
121C2×#217C2312yes—
122C2×#217C2312yes—
123C2×(C2×D3)⋊C4—28no—
124C2×(C2×D3)⋊C4C2312yes—
125C2×(C2×D3)⋊C4C2314yes—
126C2×(C2×D3)⋊C4C2312yes—
127C2×(C2×D3)⋊C4C2314yes—
128C2×(C2×D3)⋊C4C2312yes—
129C2×(C2×D3)⋊C4C2314yes—
130C2×(C2×D3)⋊C4C2312yes—
131#926—24no—
132#926D418yes—
133C2×C4⋊Dic3C2314yes—
134C2×C4⋊Dic3C2312yes—
135C2×C4⋊Dic3C2312yes—
136#924—216no—
137C2×Dic3⋊C4C2314yes—
138C2×Dic3⋊C4C2314yes—
139C2×Dic3⋊C4C2314yes—
140C2×Dic3⋊C4C2314yes—
141C2×Dic3⋊C4C2314yes—
142C2×Dic3⋊C4C2314yes—
143C2×Dic3⋊C4C2314yes—
144C2×C4×Dic3—24no—
145C2×C4×Dic3C2314yes—
146C2×C4×Dic3C2312yes—
147C2×C4×Dic3C2312yes—
148C2×C4×Dic3C2311yescharacteristic
149C2×C4×Dic3C2311yescharacteristic
150C2×C4×Dic3C2312yes—
151#896—216no—
152#892—28no—
153D3×C4⋊C4—28no—
154D3×C22⋊C4—28no—
155#877—28no—
156#872—28no—
157C42×D3—28no—
158#870—28no—
159#869—28no—
160C4×Dic6—216no—
161C3×#95C2314yes—
162C3×#95C2314yes—
163C3⋊#95C2312yes—
164C3⋊#95C2314yes—
165C3⋊#95C2314yes—
166C3⋊#95C2312yes—
167C3⋊#95C2314yes—
168C3⋊#95C2312yes—
169C3⋊#95C2314yes—
170C3⋊#95C2312yes—
171C3⋊#95C2314yes—
172C3⋊#95C2314yes—
173C24×C4—31no—
174#533—68no—
175C2×C4⋊Q8—32no—
176C2×#125—32no—
177C2×C22⋊Q8—34no—
178C2×C22⋊Q8—34no—
179C2×C4×Q8—34no—
180C2×#117—31no—
181C2×#117—31no—
182C2×#117—32no—
183C2×#117—32no—
184C2×#117—32no—
185C2×#117—68no—
186C2×#117C2×D311yescharacteristic
187C2×#117C2×D311yescharacteristic
188C22×C4⋊C4—32no—
189C22×C22⋊C4—32no—
190C22×C22⋊C4—32no—
191C22×C42—31no—
192C22×C42—32no—
193C22×C42C2×D311yescharacteristic
194#400—34no—
195#399—34no—
196#398—34no—
197#398—34no—
198#396—34no—
199#396—34no—
200#395—34no—
201#393—34no—
202#391—34no—
203#389—32no—
204#389—32no—
205#389—34no—
206#389C2×D312yescomplemented
207#389C2×D312yescomplemented
208#387—34no—
209#387—34no—
210#385—34no—
211#385—34no—
212#385—34no—
213#385C2×D314yes—
214#384—32no—
215#382—32no—
216#381—32no—
217#380—32no—
218#380—32no—
219#380—34no—
220#380—34no—
221#379—32no—
222C4×C4⋊C4—34no—
223C4×C4⋊C4—34no—
224C4×C4⋊C4C2×D314yescomplemented
225C4×C22⋊C4—32no—
226C4×C22⋊C4—32no—
227C4×C22⋊C4—31no—
228C4×C22⋊C4—31no—
229C4×C22⋊C4—31no—
230C4×C22⋊C4—31no—
231C4×C22⋊C4—32no—
232C4×C22⋊C4—32no—
233C2×#95—32no—
234C24×C3C2411yescharacteristic
235C23×D3—22no—
236C23×D3—22no—
237C23×D3—24no—
238C23×D3—42no—
239C23×D3C2×Q814yes—
240C23×D3C2411yescharacteristic
241C23×D3C2411yescharacteristic
242C22×C3×C4—24no—
243C22×C3×C4—24no—
244C22×C3×C4—42no—
245C22×C3×C4C2×D414yes—
246C22×C3×C4C2×Q814yes—
247C22×C3×C4#4114yes—
248C22×C3×C4C2414yes—
249C22×C3×C4C2414yes—
250C22×C3×C4C2412yes—
251C22×C3×C4C2412yes—
252C22×C3×C4C2411yescharacteristic
253C22×C3×C4C2411yescharacteristic
254C22×Dic3—22no—
255C22×Dic3—22no—
256C22×Dic3—24no—
257C22×Dic3—24no—
258C22×Dic3—42no—
259C22×Dic3C2×Q814yes—
260C22×Dic3C2412yes—
261C22×Dic3C2414yes—
262C22×Dic3C2414yes—
263C22×Dic3C2411yescharacteristic
264C22×Dic3C2411yescharacteristic
265C22×Dic3C2412yes—
266C2×C4×D3—232no—
267C2×C4×D3—22no—
268C2×C4×D3—22no—
269C2×C4×D3—22no—
270C2×C4×D3—22no—
271C2×C4×D3—22no—
272C2×C4×D3—22no—
273C2×C4×D3—22no—
274C2×C4×D3—22no—
275C2×C4×D3—28no—
276C2×C4×D3—28no—
277C2×C4×D3—44no—
278C2×C4×D3C2×Q814yes—
279C2×C4×D3C2×Q814yes—
280C2×C4×D3C2×Q814yes—
281C2×C4×D3C2×Q814yes—
282C2×Dic6—28no—
283C2×Dic6—28no—
284C2×Dic6—44no—
285C3×C4⋊C4—24no—
286C3×C4⋊C4—28no—
287C3×C4⋊C4—24no—
288C3×C4⋊C4—44no—
289C3×C22⋊C4—24no—
290C3×C22⋊C4—24no—
291C3×C42—24no—
292C3×C42—22no—
293C3×C42—22no—
294C3×C42—24no—
295C3×C42—24no—
296#217—24no—
297#217C2×D418yes—
298(C2×D3)⋊C4—28no—
299(C2×D3)⋊C4—24no—
300(C2×D3)⋊C4—24no—
301(C2×D3)⋊C4—28no—
302(C2×D3)⋊C4—24no—
303(C2×D3)⋊C4—44no—
304(C2×D3)⋊C4#4118yes—
305C4⋊Dic3—24no—
306C4⋊Dic3—28no—
307C4⋊Dic3C2×D418yes—
308Dic3⋊C4—28no—
309Dic3⋊C4—28no—
310Dic3⋊C4—28no—
311Dic3⋊C4—28no—
312Dic3⋊C4—28no—
313Dic3⋊C4—44no—
314Dic3⋊C4—44no—
315C4×Dic3—24no—
316C4×Dic3—22no—
317C4×Dic3—24no—
318C4×Dic3—22no—
319C4×Dic3—28no—
320C4×Dic3C2×D418yes—
321C25—31no—
322C22×Q8—34no—
323C23×C4—31no—
324C23×C4—38no—
325C23×C4—31no—
326C23×C4—31no—
327C23×C4—31no—
328C23×C4—31no—
329C23×C4—32no—
330C23×C4—34no—
331C23×C4—64no—
332C23×C4—64no—
333C23×C4C22×D312yes—
334C23×C4C22×D311yescharacteristic
335C4⋊Q8—68no—
336#125—68no—
337C22⋊Q8—616no—
338C22⋊Q8—616no—
339C4×Q8—616no—
340#117—24no—
341#117—24no—
342#117—38no—
343#117—68no—
344#117—68no—
345#117—68no—
346#117—64no—
347C2×C4⋊C4—32no—
348C2×C4⋊C4—34no—
349C2×C4⋊C4—32no—
350C2×C4⋊C4—34no—
351C2×C4⋊C4—34no—
352C2×C4⋊C4—34no—
353C2×C4⋊C4—34no—
354C2×C4⋊C4—34no—
355C2×C4⋊C4—34no—
356C2×C4⋊C4—34no—
357C2×C4⋊C4—68no—
358C2×C4⋊C4C22×D312yes—
359C2×C4⋊C4C22×D312yes—
360C2×C4⋊C4C22×D314yes—
361C2×C4⋊C4C22×D314yes—
362C2×C22⋊C4—32no—
363C2×C22⋊C4—32no—
364C2×C22⋊C4—32no—
365C2×C22⋊C4—34no—
366C2×C22⋊C4—32no—
367C2×C22⋊C4—32no—
368C2×C22⋊C4—32no—
369C2×C22⋊C4—34no—
370C2×C22⋊C4—34no—
371C2×C22⋊C4—68no—
372C2×C22⋊C4—68no—
373C2×C22⋊C4C22×D312yes—
374C2×C22⋊C4C22×D312yes—
375C2×C42—24no—
376C2×C42—32no—
377C2×C42—34no—
378C2×C42—31no—
379C2×C42—31no—
380C2×C42—32no—
381C2×C42—32no—
382C2×C42—68no—
383C2×C42—64no—
384C2×C42C22×D311yescharacteristic
385C2×C42C22×D311yescharacteristic
386C2×C42C22×D312yes—
387C2×C42C22×D312yes—
388C2×C42C22×D312yes—
389#95—32no—
390#95—32no—
391#95—32no—
392#95—32no—
393#95—34no—
394#95—34no—
395#95—34no—
396#95—34no—
397#95—34no—
398#95—34no—
399#95C22×D314yes—
400#95C22×D314yes—
401C23×C3—22no—
402C23×C3—22no—
403C23×C3C22×D412yes—
404C23×C3C22×Q812yes—
405C23×C3C2×#4112yes—
406C23×C3C2511yescharacteristic
407C22×D3—21no—
408C22×D3—21no—
409C22×D3—22no—
410C22×D3—28no—
411C22×D3—21no—
412C22×D3—22no—
413C22×D3—21no—
414C22×D3—22no—
415C22×D3—28no—
416C22×D3—44no—
417C22×D3—48no—
418C22×D3—48no—
419C22×D3C22×Q812yes—
420C22×D3C22×Q812yes—
421C22×D3C2×#4114yes—
422C2×C3×C4—22no—
423C2×C3×C4—22no—
424C2×C3×C4—24no—
425C2×C3×C4—22no—
426C2×C3×C4—24no—
427C2×C3×C4—24no—
428C2×C3×C4—22no—
429C2×C3×C4—24no—
430C2×C3×C4—24no—
431C2×C3×C4—24no—
432C2×C3×C4—22no—
433C2×C3×C4—48no—
434C2×C3×C4C22⋊Q8116yescomplemented
435C2×C3×C4C22×D412yes—
436C2×C3×C4C22×D412yes—
437C2×C3×C4C22×Q812yes—
438C2×C3×C4C22×Q812yes—
439C2×C3×C4C2×#4112yes—
440C2×C3×C4C2×#4112yes—
441C2×C3×C4C2×#4114yes—
442C2×Dic3—28no—
443C2×Dic3—21no—
444C2×Dic3—21no—
445C2×Dic3—22no—
446C2×Dic3—24no—
447C2×Dic3—21no—
448C2×Dic3—21no—
449C2×Dic3—22no—
450C2×Dic3—24no—
451C2×Dic3—24no—
452C2×Dic3—22no—
453C2×Dic3—24no—
454C2×Dic3—22no—
455C2×Dic3—22no—
456C2×Dic3—24no—
457C2×Dic3—48no—
458C2×Dic3C22×D418yes—
459C2×Dic3C22×Q812yes—
460C2×Dic3C22×Q812yes—
461C2×Dic3C2×#4114yes—
462C4×D3—28no—
463C4×D3—28no—
464C4×D3—28no—
465C4×D3—28no—
466C4×D3—416no—
467Dic6—416no—
468C24—31no—
469C24—31no—
470C24—34no—
471C24—64no—
472C24—62no—
473C24—62no—
474C24—122no—
475C24C23×D311yescharacteristic
476C2×Q8—68no—
477C2×Q8—68no—
478C2×Q8—124no—
479C22×C4—24no—
480C22×C4—24no—
481C22×C4—34no—
482C22×C4—31no—
483C22×C4—31no—
484C22×C4—32no—
485C22×C4—34no—
486C22×C4—34no—
487C22×C4—34no—
488C22×C4—34no—
489C22×C4—34no—
490C22×C4—32no—
491C22×C4—34no—
492C22×C4—42no—
493C22×C4—68no—
494C22×C4—68no—
495C22×C4—64no—
496C22×C4—62no—
497C22×C4—62no—
498C22×C4—632no—
499C22×C4—62no—
500C22×C4—62no—
501C22×C4—62no—
502C22×C4—62no—
503C22×C4—62no—
504C22×C4—62no—
505C22×C4—62no—
506C22×C4—62no—
507C22×C4—64no—
508C22×C4—124no—
509C22×C4—122no—
510C22×C4#23514yes—
511C22×C4D3×D414yes—
512C22×C4D3×Q814yes—
513C22×C4C23×D314yes—
514C22×C4C23×D314yes—
515C22×C4C23×D312yes—
516C22×C4C23×D312yes—
517C22×C4C23×D311yescharacteristic
518C22×C4C23×D311yescharacteristic
519C4⋊C4—24no—
520C4⋊C4—24no—
521C4⋊C4—28no—
522C4⋊C4—38no—
523C4⋊C4—44no—
524C4⋊C4—68no—
525C4⋊C4—68no—
526C4⋊C4—68no—
527C4⋊C4—68no—
528C4⋊C4—68no—
529C4⋊C4—68no—
530C4⋊C4—64no—
531C4⋊C4—124no—
532C4⋊C4—124no—
533C22⋊C4—24no—
534C22⋊C4—24no—
535C22⋊C4—38no—
536C22⋊C4—38no—
537C22⋊C4—68no—
538C22⋊C4—64no—
539C22⋊C4—64no—
540C22⋊C4—68no—
541C22⋊C4—64no—
542C22⋊C4—64no—
543C22⋊C4—124no—
544C42—24no—
545C42—24no—
546C42—22no—
547C42—22no—
548C42—24no—
549C42—38no—
550C42—68no—
551C42—62no—
552C42—64no—
553C42—62no—
554C42—64no—
555C22×C3—22no—
556C22×C3—22no—
557C22×C3—24no—
558C22×C3—24no—
559C22×C3C2×C22⋊Q814yes—
560C22×C3C23×D411yescharacteristic
561C22×C3C23×Q811yescharacteristic
562C22×C3C22×#4111yescharacteristic
563C22×C3C22×#4112yes—
564C22×C3#58512yes—
565C2×D3—22no—
566C2×D3—22no—
567C2×D3—24no—
568C2×D3—24no—
569C2×D3—22no—
570C2×D3—22no—
571C2×D3—22no—
572C2×D3—416no—
573C2×D3—42no—
574C2×D3—42no—
575C2×D3#53314yescomplemented
576C3×C4—24no—
577C3×C4—44no—
578C3×C4—42no—
579C3×C4—44no—
580C3×C4C2×C22⋊Q814yes—
581C3×C4C2×C22⋊Q814yes—
582Dic3—22no—
583Dic3—22no—
584Dic3—28no—
585Dic3—24no—
586Dic3—44no—
587Dic3—42no—
588C23—22no—
589C23—22no—
590C23—32no—
591C23—34no—
592C23—32no—
593C23—68no—
594C23—61no—
595C23—61no—
596C23—62no—
597C23—61no—
598C23—61no—
599C23—62no—
600C23—62no—
601C23—68no—
602C23—124no—
603C23—128no—
604C23—128no—
605C23C2×#23512yes—
606C23C2×D3×D412yes—
607C23C2×D3×Q812yes—
608C23C24×D311yescharacteristic
609Q8—1216no—
610C2×C4—22no—
611C2×C4—22no—
612C2×C4—24no—
613C2×C4—22no—
614C2×C4—24no—
615C2×C4—22no—
616C2×C4—24no—
617C2×C4—24no—
618C2×C4—24no—
619C2×C4—22no—
620C2×C4—24no—
621C2×C4—38no—
622C2×C4—32no—
623C2×C4—32no—
624C2×C4—34no—
625C2×C4—48no—
626C2×C4—62no—
627C2×C4—61no—
628C2×C4—61no—
629C2×C4—61no—
630C2×C4—61no—
631C2×C4—64no—
632C2×C4—62no—
633C2×C4—64no—
634C2×C4—68no—
635C2×C4—68no—
636C2×C4—68no—
637C2×C4—68no—
638C2×C4—68no—
639C2×C4—62no—
640C2×C4—64no—
641C2×C4—62no—
642C2×C4—64no—
643C2×C4—64no—
644C2×C4—62no—
645C2×C4—1216no—
646C2×C4—128no—
647C2×C4#896116yescomplemented
648C2×C4C2×#23512yes—
649C2×C4C2×#23512yes—
650C2×C4C2×D3×D412yes—
651C2×C4C2×D3×D412yes—
652C2×C4C2×D3×Q812yes—
653C2×C4C2×D3×Q812yes—
654C2×C4D3×#4114yes—
655C2×C3—24no—
656C2×C3C22×C22⋊Q811yescharacteristic
657C2×C3C2×#53311yescharacteristic
658C2×C3#345811yescharacteristic
659C2×C3D4×#4112yes—
660C2×C3#347512yes—
661D3—24no—
662D3—42no—
663C22—22no—
664C22—22no—
665C22—24no—
666C22—24no—
667C22—34no—
668C22—62no—
669C22—64no—
670C22—64no—
671C22—62no—
672C22—62no—
673C22—62no—
674C22—62no—
675C22—1216no—
676C22—122no—
677C22—122no—
678C22C2×#89614yes—
679C22C22×#23511yescharacteristic
680C22C22×D3×D411yescharacteristic
681C22C22×D3×Q811yescharacteristic
682C22C2×D3×#4112yes—
683C22#596412yes—
684C4—24no—
685C4—42no—
686C4—44no—
687C4—44no—
688C4—68no—
689C4—64no—
690C4—62no—
691C4—62no—
692C4—124no—
693C4—122no—
694C4C2×#89614yes—
695C4C2×#89614yes—
696C3#3473911yescharacteristic, complemented, Sylow
697C2—24no—
698C2—64no—
699C2—122no—
700C2C22×#89611yescharacteristic
701C2#8584012yes—
702C2#8603712yes—
703C2D3×#53311yescharacteristic
704C2#8627411yescharacteristic
subgroupG/H
centerC22×C4C23×D3
commutator, socle, cosocleC23×C3C25
FrattiniC23C24×D3
FittingC3×#2296C2
prime radicalC24×D3C23
hypercenter#2296D3
hypocenterC3#34739
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C22×C4 ◁ #2296

Complements

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

NH ≅ G/Ntype
2. C2×#5470C2semidirect
3. C3×#2296C2semidirect
5. #82226C2semidirect
6. #82224C2semidirect
8. #76224C2semidirect
9. #76223C2semidirect
10. #76002C2semidirect
11. #75998C2semidirect
13. #74414C2semidirect
14. #73778C2semidirect
15. C4×#896C2semidirect
35. C2×#870C22semidirect
36. C2×#869C22semidirect
37. C2×C4×Dic6C22semidirect
38. C3×#389C22semidirect
39. C3×#389C22semidirect
41. C3×C4×C4⋊C4C22semidirect
48. #4983C22semidirect
49. #4980C22semidirect
50. #4979C22semidirect
51. #4977C22semidirect
52. #4976C22semidirect
53. #4975C22semidirect
54. #4972C22semidirect
55. #4972C22semidirect
68. C4×Dic3⋊C4C22semidirect
69. C4×Dic3⋊C4C22semidirect
74. #4658C22semidirect
75. #4657C22semidirect
76. #4652C22semidirect
77. #4646C22semidirect
89. #2296D3semidirect
100. C22×C4×D3Q8semidirect
206. #389C2×D3semidirect
207. #389C2×D3semidirect
224. C4×C4⋊C4C2×D3semidirect
434. C2×C3×C4C22⋊Q8semidirect
575. C2×D3#533semidirect
647. C2×C4#896semidirect
696. C3#34739semidirect

Maximal subgroups

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

subgroupindex
C2×D3×#1172
C2×#54702
C3×#22962
#822672
#822262
#822242
C2×C4×(C2×D3)⋊C42
#762242
#762232
#760022
#759982
#746072
#744142
#737782
C4×#8962
#347393