Finite Group Databasebeta

← D3×#2501 #10964242

Subgroups — D3×#2501 #10964242

Order 768.

4222 conjugacy classes of subgroups.

The subgroup lattice has 726 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×D3×#123C214yesmaximal, complemented
2C2×D3×#121C211yesmaximal, characteristic
3C22×D3×C4⋊C4C211yesmaximal, characteristic, complemented
4C3×#2501C211yesmaximal, characteristic, complemented
5#82859C214yesmaximal, complemented
6#82664C211yesmaximal, characteristic, complemented
7#82177C211yesmaximal, characteristic, complemented
8D3×#399C214yesmaximal, complemented
9#78030C214yesmaximal, complemented
10D3×#390C212yesmaximal, complemented
11#76335C212yesmaximal, complemented
12D3×#384C212yesmaximal, complemented
13#74328C212yesmaximal, complemented
14C4×D3×C22⋊C4C211yesmaximal, characteristic, complemented
15#73516C211yesmaximal, characteristic, complemented
16C2×#2501—31nomaximal, Sylow
17C22×D3×D4C2211yescharacteristic
18C22×D3×D4C2212yes—
19C23×C4×D3C2212yes—
20C23×C4×D3C2211yescharacteristic
21C2×C3×#123C2214yescomplemented
22C2×C3×#121C2211yescharacteristic
23C22×C3×C4⋊C4C2211yescharacteristic, complemented
24C2×#939C2212yes—
25C2×#938C2211yescharacteristic
26C2×#935C2214yescomplemented
27C2×#930C2211yescharacteristic
28C2×#929C2214yescomplemented
29C22×C4⋊Dic3C2211yescharacteristic, complemented
30C22×Dic3⋊C4C2212yescomplemented
31D3×#123—232no—
32D3×#121—28no—
33C2×#895C2211yescharacteristic
34C2×#894C2218yescomplemented
35C2×D3×C4⋊C4—28no—
36C2×D3×C4⋊C4C2212yes—
37C2×D3×C4⋊C4C2218yes—
38C2×D3×C4⋊C4C2211yescharacteristic
39C2×D3×C4⋊C4C2212yes—
40C2×D3×C4⋊C4C2212yescomplemented
41C2×D3×C4⋊C4C2212yescomplemented
42C2×#886C2214yescomplemented
43C2×#884C2212yes—
44C2×#883C2218yescomplemented
45C2×D3×C22⋊C4C2212yes—
46C2×D3×C22⋊C4C2218yes—
47C2×D3×C22⋊C4C2212yes—
48C2×C42×D3C2212yes—
49C3×#399C2214yescomplemented
50C3×#390C2212yescomplemented
51C3×#384C2212yescomplemented
52C3×C4×C22⋊C4C2211yescharacteristic, complemented
53#5221C2212yescomplemented
54C4×#217C2211yescharacteristic, complemented
55#4993C2214yescomplemented
56#4993C2218yescomplemented
57#4988C2212yescomplemented
58#4975C2212yescomplemented
59#4975C2212yescomplemented
60#4975C2218yescomplemented
61#4957C2218yescomplemented
62#4949C2218yescomplemented
63#4949C2214yescomplemented
64Dic3×C22⋊C4C2212yescomplemented
65#4939C2212yescomplemented
66C4×(C2×D3)⋊C4C2212yescomplemented
67#4935C2212yescomplemented
68#4677C2214yescomplemented
69#4666C2212yescomplemented
70D3×#95C2212yes—
71C22×#123—34no—
72C22×#121—31no—
73C23×C4⋊C4—31no—
74#2501—34no—
75#2501—32no—
76#2501—32no—
77#2501—31no—
78#2501—34no—
79#2501—31no—
80#2501—31no—
81#2501D311yescharacteristic, direct product factor
82C2×#399—34no—
83C2×#390—32no—
84C2×#384—32no—
85C2×C4×C22⋊C4—31no—
86C24×D3C2312yes—
87C24×D3C2311yescharacteristic
88C22×C3×D4C2311yescharacteristic
89C22×C3×D4C2312yes—
90C23×C3×C4C2312yes—
91C23×C3×C4C2311yescharacteristic
92C22×#67C2312yes—
93C22×#67C2312yes—
94C22×#67C2312yes—
95C23×Dic3C2312yes—
96C23×Dic3C2311yescharacteristic
97C2×D3×D4—216no—
98C2×D3×D4—28no—
99C2×D3×D4—24no—
100C2×D3×D4—28no—
101C22×D12C2311yescharacteristic
102C22×D12C2312yes—
103C22×C4×D3—28no—
104C22×C4×D3—216no—
105C22×C4×D3—28no—
106C22×C4×D3D418yes—
107C22×C4×D3C2314yes—
108C22×C4×D3C2314yes—
109C22×C4×D3C2312yes—
110C22×C4×D3C2311yescharacteristic
111C22×C4×D3C2314yes—
112C22×C4×D3C2311yescharacteristic
113C22×C4×D3C2311yescharacteristic
114C22×C4×D3C2311yescharacteristic
115C3×#123—216no—
116C3×#121—24no—
117C2×C3×C4⋊C4—24no—
118C2×C3×C4⋊C4C2311yescharacteristic
119C2×C3×C4⋊C4C2312yes—
120C2×C3×C4⋊C4C2318yes—
121C2×C3×C4⋊C4C2312yes—
122C2×C3×C22⋊C4C2312yes—
123C2×C3×C22⋊C4C2318yes—
124C2×C3×C22⋊C4C2312yes—
125C2×C3×C42C2312yes—
126C2×#217C2312yes—
127C2×#217C2318yes—
128C2×#217C2312yes—
129#939—28no—
130#938—24no—
131#935—216no—
132#930—24no—
133#929—216no—
134C2×(C2×D3)⋊C4C2312yes—
135C2×(C2×D3)⋊C4C2318yes—
136C2×(C2×D3)⋊C4C2318yes—
137C2×(C2×D3)⋊C4C2312yes—
138C2×(C2×D3)⋊C4C2314yes—
139C2×C4⋊Dic3—24no—
140C2×C4⋊Dic3C2312yes—
141C2×C4⋊Dic3C2318yes—
142C2×C4⋊Dic3C2311yescharacteristic
143C2×C4⋊Dic3C2312yes—
144C2×Dic3⋊C4—28no—
145C2×Dic3⋊C4C2314yes—
146C2×Dic3⋊C4C2318yes—
147C2×Dic3⋊C4C2318yes—
148C2×Dic3⋊C4C2314yes—
149C2×Dic3⋊C4C2312yes—
150C2×C4×Dic3C2314yes—
151C2×C4×Dic3C2312yes—
152#895—24no—
153#894—232no—
154D3×C4⋊C4—232no—
155D3×C4⋊C4—28no—
156D3×C4⋊C4—28no—
157D3×C4⋊C4—28no—
158D3×C4⋊C4—28no—
159D3×C4⋊C4—24no—
160#886—216no—
161#884—28no—
162#883—232no—
163D3×C22⋊C4—232no—
164D3×C22⋊C4—28no—
165D3×C22⋊C4D4116yescomplemented
166C42×D3—28no—
167C3×#95C2312yes—
168C3⋊#95C2312yes—
169C3⋊#95C2314yes—
170C23×D4—32no—
171C23×D4—31no—
172C24×C4—31no—
173C24×C4—32no—
174C2×#123—34no—
175C2×#123—34no—
176C2×#123—38no—
177C2×#123—38no—
178C2×#123—34no—
179C2×#123—632no—
180C2×#123C2×D314yescomplemented
181C2×#121—31no—
182C2×#121—32no—
183C2×#121—31no—
184C2×#121—31no—
185C2×#121—32no—
186C2×#121—68no—
187C2×#121C2×D311yescharacteristic
188C22×C4⋊C4—32no—
189C22×C4⋊C4—31no—
190C22×C4⋊C4—32no—
191C22×C4⋊C4—38no—
192C22×C4⋊C4—32no—
193C22×C4⋊C4—32no—
194C22×C4⋊C4—32no—
195C22×C4⋊C4—31no—
196C22×C4⋊C4—68no—
197C22×C4⋊C4C2×D311yescharacteristic, complemented
198C22×C22⋊C4—32no—
199C22×C22⋊C4—32no—
200C22×C22⋊C4—38no—
201C22×C42—32no—
202#399—38no—
203#399—34no—
204#399—38no—
205#399—34no—
206#399—34no—
207#399C2×D314yescomplemented
208#390—32no—
209#390—32no—
210#390—38no—
211#390—32no—
212#390C2×D312yescomplemented
213#384—38no—
214#384—32no—
215#384—32no—
216#384—32no—
217#384C2×D312yescomplemented
218C4×C22⋊C4—31no—
219C4×C22⋊C4—32no—
220C4×C22⋊C4—32no—
221C4×C22⋊C4—32no—
222C4×C22⋊C4C2×D311yescharacteristic, complemented
223C2×#95—32no—
224C24×C3C2412yes—
225C24×C3C2411yescharacteristic
226C23×D3—24no—
227C23×D3—24no—
228C23×D3—28no—
229C23×D3—24no—
230C23×D3—28no—
231C23×D3—28no—
232C23×D3C2×D418yes—
233C23×D3C2×D414yes—
234C23×D3C2412yes—
235C23×D3C2411yescharacteristic
236C23×D3C2411yescharacteristic
237C2×C3×D4—28no—
238C2×C3×D4—24no—
239C2×C3×D4—22no—
240C2×C3×D4—24no—
241C22×C3×C4—24no—
242C22×C3×C4—24no—
243C22×C3×C4—28no—
244C22×C3×C4C2×D414yes—
245C22×C3×C4C2412yes—
246C22×C3×C4C2414yes—
247C22×C3×C4C2411yescharacteristic
248C22×C3×C4C2414yes—
249C22×C3×C4C2411yescharacteristic
250C2×#67—28no—
251C2×#67—24no—
252C2×#67—28no—
253C2×#67—24no—
254C2×#67—24no—
255C2×#67—28no—
256C22×Dic3—24no—
257C22×Dic3—28no—
258C22×Dic3—24no—
259C22×Dic3C2×D414yes—
260C22×Dic3C2412yes—
261C22×Dic3C2414yes—
262C22×Dic3C2411yescharacteristic
263C22×Dic3C2414yes—
264C22×Dic3C2411yescharacteristic
265D3×D4—432no—
266D3×D4—416no—
267C2×D12—24no—
268C2×D12—28no—
269C2×D12—22no—
270C2×D12—24no—
271C2×C4×D3—28no—
272C2×C4×D3—24no—
273C2×C4×D3—28no—
274C2×C4×D3—24no—
275C2×C4×D3—24no—
276C2×C4×D3—232no—
277C2×C4×D3—216no—
278C2×C4×D3—24no—
279C2×C4×D3—216no—
280C2×C4×D3—28no—
281C2×C4×D3—28no—
282C2×C4×D3—28no—
283C2×C4×D3—432no—
284C2×C4×D3C2×D4116yes—
285C2×C4×D3C2×D414yes—
286C2×C4×D3C2×D414yes—
287C2×C4×D3C2×D414yes—
288C2×C4×D3C2×D414yes—
289C2×C4×D3#4118yes—
290C3×C4⋊C4—24no—
291C3×C4⋊C4—24no—
292C3×C4⋊C4—216no—
293C3×C4⋊C4—22no—
294C3×C22⋊C4—216no—
295C3×C22⋊C4—24no—
296C3×C22⋊C4C2×D418yescomplemented
297C3×C42—24no—
298#217—216no—
299#217—24no—
300#217C2×D418yescomplemented
301(C2×D3)⋊C4—24no—
302(C2×D3)⋊C4—216no—
303(C2×D3)⋊C4—216no—
304(C2×D3)⋊C4—24no—
305(C2×D3)⋊C4C2×D4116yescomplemented
306C4⋊Dic3—216no—
307C4⋊Dic3—24no—
308C4⋊Dic3—24no—
309C4⋊Dic3—22no—
310Dic3⋊C4—216no—
311Dic3⋊C4—24no—
312Dic3⋊C4—28no—
313Dic3⋊C4—28no—
314Dic3⋊C4—216no—
315C4×Dic3—24no—
316C4×Dic3—28no—
317C25—31no—
318C25—32no—
319C22×D4—32no—
320C22×D4—32no—
321C22×D4—32no—
322C22×D4—32no—
323C22×D4—31no—
324C22×D4—64no—
325C22×D4—68no—
326C22×D4—68no—
327C22×D4—616no—
328C22×D4C22×D312yes—
329C22×D4C22×D311yescharacteristic
330C23×C4—31no—
331C23×C4—31no—
332C23×C4—38no—
333C23×C4—34no—
334C23×C4—31no—
335C23×C4—31no—
336C23×C4—31no—
337C23×C4—32no—
338C23×C4—34no—
339C23×C4—32no—
340C23×C4—34no—
341C23×C4—68no—
342C23×C4—68no—
343C23×C4—616no—
344C23×C4C22×D312yes—
345C23×C4C22×D311yescharacteristic
346#123—216no—
347#123—632no—
348#123—632no—
349#123—616no—
350#123—616no—
351#123—616no—
352#121—24no—
353#121—68no—
354#121—64no—
355#121—64no—
356#121—68no—
357#121—64no—
358C2×C4⋊C4—24no—
359C2×C4⋊C4—34no—
360C2×C4⋊C4—32no—
361C2×C4⋊C4—34no—
362C2×C4⋊C4—32no—
363C2×C4⋊C4—32no—
364C2×C4⋊C4—31no—
365C2×C4⋊C4—38no—
366C2×C4⋊C4—38no—
367C2×C4⋊C4—38no—
368C2×C4⋊C4—68no—
369C2×C4⋊C4—68no—
370C2×C4⋊C4—68no—
371C2×C4⋊C4—68no—
372C2×C4⋊C4—64no—
373C2×C4⋊C4—632no—
374C2×C4⋊C4—68no—
375C2×C4⋊C4—64no—
376C2×C4⋊C4C22×D312yes—
377C2×C4⋊C4C22×D312yes—
378C2×C4⋊C4C22×D311yescharacteristic
379C2×C4⋊C4C22×D318yes—
380C2×C22⋊C4—32no—
381C2×C22⋊C4—34no—
382C2×C22⋊C4—316no—
383C2×C22⋊C4—32no—
384C2×C22⋊C4—38no—
385C2×C22⋊C4—32no—
386C2×C22⋊C4—32no—
387C2×C22⋊C4—38no—
388C2×C22⋊C4—38no—
389C2×C22⋊C4—68no—
390C2×C22⋊C4—632no—
391C2×C22⋊C4C22×D312yes—
392C2×C22⋊C4C22×D318yes—
393C2×C22⋊C4C22×D312yes—
394C2×C42—34no—
395C2×C42—32no—
396C2×C42—68no—
397C2×C42C22×D312yes—
398#95—34no—
399#95—32no—
400#95C22×D312yes—
401C23×C3—22no—
402C23×C3—22no—
403C23×C3—24no—
404C23×C3—22no—
405C23×C3—24no—
406C23×C3—24no—
407C23×C3C22×D414yes—
408C23×C3C22×D412yes—
409C23×C3C2511yescharacteristic
410C22×D3—22no—
411C22×D3—22no—
412C22×D3—28no—
413C22×D3—28no—
414C22×D3—232no—
415C22×D3—24no—
416C22×D3—22no—
417C22×D3—24no—
418C22×D3—24no—
419C22×D3—48no—
420C22×D3—48no—
421C22×D3—48no—
422C22×D3—432no—
423C22×D3#127116yes—
424C22×D3C22×D414yes—
425C22×D3C22×D412yes—
426C22×D3C22×D412yes—
427C22×D3C22×D414yes—
428C22×D3C2×#4114yes—
429C22×D32−1+414yes—
430C3×D4—48no—
431C3×D4—44no—
432C2×C3×C4—24no—
433C2×C3×C4—22no—
434C2×C3×C4—24no—
435C2×C3×C4—28no—
436C2×C3×C4—24no—
437C2×C3×C4—24no—
438C2×C3×C4—28no—
439C2×C3×C4—22no—
440C2×C3×C4—48no—
441C2×C3×C4C22×D418yes—
442C2×C3×C4C22×D412yes—
443C2×C3×C4C22×D412yes—
444C2×C3×C4C2×#4114yes—
445#67—48no—
446#67—48no—
447#67—48no—
448C2×Dic3—24no—
449C2×Dic3—22no—
450C2×Dic3—24no—
451C2×Dic3—28no—
452C2×Dic3—24no—
453C2×Dic3—24no—
454C2×Dic3—28no—
455C2×Dic3—22no—
456C2×Dic3—48no—
457C2×Dic3C22×D418yes—
458C2×Dic3C22×D412yes—
459C2×Dic3C22×D412yes—
460C2×Dic3C2×#4114yes—
461D12—48no—
462D12—44no—
463C4×D3—28no—
464C4×D3—232no—
465C4×D3—28no—
466C4×D3—28no—
467C4×D3—416no—
468C4×D3—416no—
469C4×D3—48no—
470C4×D3#123116yescomplemented
471C24—31no—
472C24—38no—
473C24—34no—
474C24—31no—
475C24—32no—
476C24—64no—
477C24—64no—
478C24—68no—
479C24—64no—
480C24—68no—
481C24—68no—
482C24C23×D312yes—
483C24C23×D311yescharacteristic
484C2×D4—24no—
485C2×D4—28no—
486C2×D4—22no—
487C2×D4—24no—
488C2×D4—64no—
489C2×D4—68no—
490C2×D4—64no—
491C2×D4—68no—
492C2×D4—64no—
493C2×D4—68no—
494C2×D4—64no—
495C2×D4—68no—
496C2×D4—62no—
497C2×D4—64no—
498C2×D4—1216no—
499C2×D4—1232no—
500C22×C4—24no—
501C22×C4—24no—
502C22×C4—28no—
503C22×C4—31no—
504C22×C4—34no—
505C22×C4—38no—
506C22×C4—34no—
507C22×C4—31no—
508C22×C4—34no—
509C22×C4—316no—
510C22×C4—34no—
511C22×C4—34no—
512C22×C4—34no—
513C22×C4—34no—
514C22×C4—32no—
515C22×C4—64no—
516C22×C4—632no—
517C22×C4—68no—
518C22×C4—64no—
519C22×C4—68no—
520C22×C4—616no—
521C22×C4—64no—
522C22×C4—68no—
523C22×C4—68no—
524C22×C4—68no—
525C22×C4—616no—
526C22×C4—64no—
527C22×C4—64no—
528C22×C4—64no—
529C22×C4—68no—
530C22×C4—1232no—
531C22×C4D3×D414yes—
532C22×C4C23×D314yes—
533C22×C4C23×D312yes—
534C22×C4C23×D311yescharacteristic
535C22×C4C23×D314yes—
536C22×C4C23×D311yescharacteristic
537C4⋊C4—24no—
538C4⋊C4—24no—
539C4⋊C4—22no—
540C4⋊C4—216no—
541C4⋊C4—68no—
542C4⋊C4—68no—
543C4⋊C4—64no—
544C4⋊C4—616no—
545C4⋊C4—616no—
546C4⋊C4—64no—
547C4⋊C4—64no—
548C4⋊C4—62no—
549C4⋊C4—616no—
550C22⋊C4—24no—
551C22⋊C4—216no—
552C22⋊C4—38no—
553C22⋊C4—316no—
554C22⋊C4—64no—
555C22⋊C4—616no—
556C22⋊C4—64no—
557C22⋊C4—616no—
558C22⋊C4—64no—
559C22⋊C4—616no—
560C22⋊C4D3×D418yescomplemented
561C42—24no—
562C42—68no—
563C42—64no—
564C22×C3—22no—
565C22×C3—22no—
566C22×C3—28no—
567C22×C3—42no—
568C22×C3—42no—
569C22×C3—42no—
570C22×C3—48no—
571C22×C3C2×#12714yes—
572C22×C3C23×D411yescharacteristic
573C22×C3C23×D412yes—
574C22×C3C22×#4112yes—
575C22×C3C2×2−1+412yes—
576C2×D3—22no—
577C2×D3—22no—
578C2×D3—28no—
579C2×D3—232no—
580C2×D3—42no—
581C2×D3—42no—
582C2×D3—42no—
583C2×D3—48no—
584C2×D3—816no—
585C2×D3C2×#12314yes—
586C2×D3C2×#12714yes—
587C2×D3C2×#12714yes—
588C2×D3#53614yes—
589C2×D3#547116yes—
590C3×C4—22no—
591C3×C4—28no—
592C3×C4—44no—
593C3×C4—42no—
594C3×C4C2×#12314yescomplemented
595Dic3—22no—
596Dic3—28no—
597Dic3—44no—
598Dic3—42no—
599Dic3C2×#12314yescomplemented
600C23—22no—
601C23—22no—
602C23—24no—
603C23—22no—
604C23—24no—
605C23—24no—
606C23—32no—
607C23—34no—
608C23—34no—
609C23—34no—
610C23—34no—
611C23—32no—
612C23—316no—
613C23—68no—
614C23—68no—
615C23—632no—
616C23—62no—
617C23—62no—
618C23—64no—
619C23—62no—
620C23—64no—
621C23—64no—
622C23—128no—
623C23—128no—
624C23—128no—
625C23—1232no—
626C23C2×D3×D414yes—
627C23C2×D3×D412yes—
628C23C24×D311yescharacteristic
629D4—48no—
630D4—44no—
631D4—128no—
632D4—128no—
633D4—128no—
634D4—128no—
635D4—124no—
636C2×C4—24no—
637C2×C4—22no—
638C2×C4—24no—
639C2×C4—28no—
640C2×C4—28no—
641C2×C4—22no—
642C2×C4—24no—
643C2×C4—24no—
644C2×C4—32no—
645C2×C4—34no—
646C2×C4—316no—
647C2×C4—38no—
648C2×C4—32no—
649C2×C4—48no—
650C2×C4—68no—
651C2×C4—68no—
652C2×C4—632no—
653C2×C4—68no—
654C2×C4—64no—
655C2×C4—62no—
656C2×C4—64no—
657C2×C4—68no—
658C2×C4—68no—
659C2×C4—62no—
660C2×C4—64no—
661C2×C4—64no—
662C2×C4—1216no—
663C2×C4—1216no—
664C2×C4—128no—
665C2×C4—128no—
666C2×C4C2×D3×D418yes—
667C2×C4C2×D3×D412yes—
668C2×C4C2×D3×D412yes—
669C2×C4D3×#4114yes—
670C2×C3—24no—
671C2×C3—82no—
672C2×C3C22×#12311yescharacteristic
673C2×C3C22×#12711yescharacteristic
674C2×C3C2×#53611yescharacteristic
675C2×C3C2×#54714yes—
676D3—24no—
677D3—82no—
678D3#250118yesdirect product factor
679C22—22no—
680C22—28no—
681C22—22no—
682C22—34no—
683C22—316no—
684C22—34no—
685C22—34no—
686C22—34no—
687C22—42no—
688C22—48no—
689C22—42no—
690C22—42no—
691C22—632no—
692C22—62no—
693C22—68no—
694C22—62no—
695C22—122no—
696C22—128no—
697C22—122no—
698C22—122no—
699C22—2416no—
700C22D3×#12714yes—
701C22C22×D3×D411yescharacteristic
702C22C22×D3×D412yes—
703C22C2×D3×#4112yes—
704C22D3×2−1+412yes—
705C4—28no—
706C4—22no—
707C4—34no—
708C4—44no—
709C4—42no—
710C4—68no—
711C4—62no—
712C4—124no—
713C4—122no—
714C4D3×#12314yescomplemented
715C3C2×#250111yescharacteristic, complemented, Sylow
716C2—24no—
717C2—38no—
718C2—64no—
719C2—82no—
720C2—242no—
721C2C2×D3×#12311yescharacteristic
722C2C2×D3×#12711yescharacteristic
723C2D3×#53611yescharacteristic
724C2D3×#54714yes—
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2501C2
prime radicalC2×D3×#121C2
hypercenter#2501D3
hypocenterC3C2×#2501
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2501

Complements

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

NH ≅ G/Ntype
1. C2×D3×#123C2semidirect
3. C22×D3×C4⋊C4C2semidirect
4. C3×#2501C2semidirect
5. #82859C2semidirect
6. #82664C2semidirect
7. #82177C2semidirect
8. D3×#399C2semidirect
9. #78030C2semidirect
10. D3×#390C2semidirect
11. #76335C2semidirect
12. D3×#384C2semidirect
13. #74328C2semidirect
14. C4×D3×C22⋊C4C2semidirect
15. #73516C2semidirect
21. C2×C3×#123C22semidirect
23. C22×C3×C4⋊C4C22semidirect
26. C2×#935C22semidirect
28. C2×#929C22semidirect
29. C22×C4⋊Dic3C22semidirect
30. C22×Dic3⋊C4C22semidirect
34. C2×#894C22semidirect
40. C2×D3×C4⋊C4C22semidirect
41. C2×D3×C4⋊C4C22semidirect
42. C2×#886C22semidirect
44. C2×#883C22semidirect
49. C3×#399C22semidirect
50. C3×#390C22semidirect
51. C3×#384C22semidirect
52. C3×C4×C22⋊C4C22semidirect
53. #5221C22semidirect
54. C4×#217C22semidirect
55. #4993C22semidirect
56. #4993C22semidirect
57. #4988C22semidirect
58. #4975C22semidirect
59. #4975C22semidirect
60. #4975C22semidirect
61. #4957C22semidirect
62. #4949C22semidirect
63. #4949C22semidirect
64. Dic3×C22⋊C4C22semidirect
65. #4939C22semidirect
66. C4×(C2×D3)⋊C4C22semidirect
67. #4935C22semidirect
68. #4677C22semidirect
69. #4666C22semidirect
81. #2501D3direct (N × H)
165. D3×C22⋊C4D4semidirect
180. C2×#123C2×D3semidirect
197. C22×C4⋊C4C2×D3semidirect
207. #399C2×D3semidirect
212. #390C2×D3semidirect
217. #384C2×D3semidirect
222. C4×C22⋊C4C2×D3semidirect
296. C3×C22⋊C4C2×D4semidirect
300. #217C2×D4semidirect
305. (C2×D3)⋊C4C2×D4semidirect
470. C4×D3#123semidirect
560. C22⋊C4D3×D4semidirect
594. C3×C4C2×#123semidirect
599. Dic3C2×#123semidirect
678. D3#2501direct (N × H)
714. C4D3×#123semidirect
715. C3C2×#2501semidirect

Maximal subgroups

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

subgroupindex
C2×D3×#1232
C2×D3×#1212
C22×D3×C4⋊C42
C3×#25012
#828592
#826642
#821772
D3×#3992
#780302
D3×#3902
#763352
D3×#3842
#743282
C4×D3×C22⋊C42
#735162
C2×#25013