Finite Group Databasebeta

← #10824608

Subgroups — #10824608

Order 768.

1062 conjugacy classes of subgroups.

The subgroup lattice has 734 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C3×C4×#121C211yesmaximal, characteristic, complemented
2C2×C4×#213C211yesmaximal, characteristic, complemented
3C4×#930C211yesmaximal, characteristic, complemented
4C2×#4925C211yesmaximal, characteristic, complemented
5#71684C211yesmaximal, characteristic
6#71680C211yesmaximal, characteristic, complemented
7C4×#832C211yesmaximal, characteristic, complemented
8#69652C211yesmaximal, characteristic, complemented
9#69650C211yesmaximal, characteristic, complemented
10#69629C211yesmaximal, characteristic, complemented
11#69623C211yesmaximal, characteristic, complemented
12#69524C211yesmaximal, characteristic, complemented
13#69519C211yesmaximal, characteristic, complemented
14C4×#808C211yesmaximal, characteristic, complemented
15C4×#809C211yesmaximal, characteristic, complemented
16#23697—31nomaximal, Sylow
17C2×C3×#121C2211yescharacteristic
18C2×C3×C4×D4—21no—
19C2×C3×C4×D4C2211yescharacteristic
20C22×C3×C42C2211yescharacteristic
21C22×#213C2211yescharacteristic
22C2×#930C2211yescharacteristic
23C2×C4×#67—21no—
24C2×C4×D12C2211yescharacteristic
25C3×#390C2211yescharacteristic
26C3×#389C2211yescharacteristic
27C3×#388—21no—
28C3×#386—21no—
29C3×#380C2211yescharacteristic
30C3×C4×C4⋊C4C2211yescharacteristic
31C3×C4×C22⋊C4—21no—
32C2×#832C2211yescharacteristic
33C2×#832C2211yescharacteristic
34C2×#832C2211yescharacteristic
35#5213—21no—
36#5212C2211yescharacteristic
37C2×#830C2211yescharacteristic
38C2×#830C2211yescharacteristic
39C4×#213—24no—
40C2×#809C2211yescharacteristic
41C2×#809C2211yescharacteristic
42C2×#809C2211yescharacteristic
43C2×#808C2211yescharacteristic
44C2×#808C2211yescharacteristic
45C2×#807C2211yescharacteristic
46#4940—21no—
47#4939C2211yescharacteristic
48C4×(C2×D3)⋊C4—21no—
49C4×C4⋊Dic3C2211yescharacteristic
50#4928C2211yescharacteristic
51#4925—24no—
52C2×C4⋊(C3⋊C8)C2211yescharacteristic
53C2×C4⋊(C3⋊C8)C2211yescharacteristic
54C2×C4×C3⋊C8C2211yescharacteristic
55C2×C4×C3⋊C8C2211yescharacteristic
56#4529C2211yescharacteristic
57#4529C2211yescharacteristic
58#4529C2211yescharacteristic
59#4529C2211yescharacteristic
60#4529C2211yescharacteristic
61#4529C2211yescharacteristic
62C2×C4×D8—31no—
63C2×#431—31no—
64C4×#121—31no—
65C4×#121D311yescharacteristic, complemented
66#2087—31no—
67#2076—31no—
68#2065—31no—
69#2065—31no—
70#2054—31no—
71#2034—31no—
72#2034—31no—
73#1999—31no—
74C4×#106—31no—
75C4×#102—31no—
76C4×#102—31no—
77C22×C3×D4—21no—
78C22×C3×D4C2311yescharacteristic
79C23×C3×C4—21no—
80C23×C3×C4D411yescharacteristic
81C23×C3×C4D411yescharacteristic
82C23×C3×C4C2311yescharacteristic
83C22×#67—21no—
84C22×D12C2311yescharacteristic
85C22×C4×D3—21no—
86C3×#121—22no—
87C3×#121—22no—
88C3×C4×D4—22no—
89C3×C4×D4—22no—
90C3×C4×D4—44no—
91C2×C3×C4⋊C4—21no—
92C2×C3×C4⋊C4C2311yescharacteristic
93C2×C3×C4⋊C4C2311yescharacteristic
94C2×C3×C4⋊C4C2311yescharacteristic
95C2×C3×C22⋊C4—21no—
96C2×C3×C22⋊C4—21no—
97C2×C3×C22⋊C4—21no—
98C2×C3×C22⋊C4—21no—
99C2×C3×C22⋊C4—21no—
100C2×C3×C42—22no—
101C2×C3×C42—22no—
102C2×C3×C42—21no—
103C2×C3×C42D411yescharacteristic
104C2×C3×C42D411yescharacteristic
105C2×C3×C42C2311yescharacteristic
106C2×C3×C42C2311yescharacteristic
107C2×#217—21no—
108C2×#213—22no—
109C2×#213—22no—
110C2×#213—22no—
111#930—22no—
112#930—22no—
113C4×#67—44no—
114C2×(C2×D3)⋊C4—21no—
115C2×(C2×D3)⋊C4—21no—
116C2×(C2×D3)⋊C4—21no—
117C2×(C2×D3)⋊C4—21no—
118C2×C4⋊Dic3C2311yescharacteristic
119C2×C4⋊Dic3C2311yescharacteristic
120C2×C4⋊Dic3C2311yescharacteristic
121C2×Dic3⋊C4—21no—
122C2×C4×Dic3—21no—
123C22×C3⋊C8C2311yescharacteristic
124C22×C3⋊C8C2311yescharacteristic
125C22×C3⋊C8C2311yescharacteristic
126C22×C3⋊C8C2311yescharacteristic
127C4×D12—22no—
128C4×D12—22no—
129C3×#95—21no—
130C3×#95—21no—
131C3×#95—21no—
132#832—22no—
133#832—22no—
134#832—22no—
135C3⋊#95—21no—
136C3⋊#95—21no—
137C3⋊#95—21no—
138#830—22no—
139#830—22no—
140#809—22no—
141#809—22no—
142#809—22no—
143#808—22no—
144#808—22no—
145#807—22no—
146C4⋊(C3⋊C8)—22no—
147C4⋊(C3⋊C8)—22no—
148C4×C3⋊C8—22no—
149C4×C3⋊C8D414yescomplemented
150C22×D8—31no—
151C2×#121—31no—
152C2×#121C2×D311yescharacteristic
153C2×C4×D4—21no—
154C2×C4×D4—31no—
155C2×C4×D4—61no—
156C2×C4×D4C2×D311yescharacteristic
157C22×C42C2×D311yescharacteristic
158C4×D8—64no—
159#431—64no—
160C2×#107—31no—
161C2×#106—31no—
162C2×#106—31no—
163C2×C4⋊C8—31no—
164C2×C4⋊C8—31no—
165C2×#102—31no—
166C2×#102—31no—
167C2×#102—31no—
168C2×#102—31no—
169C2×#102—31no—
170C2×#102—31no—
171C2×C22⋊C8—31no—
172C2×C22⋊C8—31no—
173C2×C4×C8—31no—
174C2×C4×C8—31no—
175#390—31no—
176#390C2×D311yescharacteristic
177#389—31no—
178#389C2×D311yescharacteristic
179#388—21no—
180#388—61no—
181#386—21no—
182#386—61no—
183#380—31no—
184#380C2×D311yescharacteristic
185C4×C4⋊C4—31no—
186C4×C4⋊C4C2×D311yescharacteristic
187C4×C22⋊C4—21no—
188C4×C22⋊C4—61no—
189#340—31no—
190#340—31no—
191#340—31no—
192#340—31no—
193#340—31no—
194#340—31no—
195C24×C3—21no—
196C24×C3C2×D411yescharacteristic
197C23×D3—21no—
198C2×C3×D4—24no—
199C2×C3×D4—21no—
200C2×C3×D4—21no—
201C2×C3×D4—21no—
202C2×C3×D4—21no—
203C2×C3×D4—21no—
204C2×C3×D4—42no—
205C2×C3×D4—42no—
206C2×C3×D4#4112yes—
207C22×C3×C4—22no—
208C22×C3×C4—22no—
209C22×C3×C4—22no—
210C22×C3×C4—21no—
211C22×C3×C4—22no—
212C22×C3×C4—22no—
213C22×C3×C4—22no—
214C22×C3×C4—21no—
215C22×C3×C4—21no—
216C22×C3×C4—21no—
217C22×C3×C4—21no—
218C22×C3×C4—21no—
219C22×C3×C4—21no—
220C22×C3×C4—21no—
221C22×C3×C4—21no—
222C22×C3×C4—42no—
223C22×C3×C4—42no—
224C22×C3×C4—42no—
225C22×C3×C4C2×D411yescharacteristic
226C22×C3×C4C2×D411yescharacteristic
227C22×C3×C4C2×D411yescharacteristic
228C22×C3×C4C2×D411yescharacteristic
229C22×C3×C4C2×D411yescharacteristic
230C22×C3×C4C2411yescharacteristic
231C2×#67—24no—
232C2×#67—42no—
233C2×#67—42no—
234C22×Dic3—21no—
235C22×Dic3—21no—
236C22×Dic3—21no—
237C2×D12—21no—
238C2×D12—21no—
239C2×D12—21no—
240C2×D12—21no—
241C2×D12—21no—
242C2×D12#4112yes—
243C2×C4×D3—42no—
244C2×C4×D3—42no—
245C2×C4×D3—42no—
246C3×C4⋊C4—21no—
247C3×C4⋊C4—21no—
248C3×C4⋊C4—21no—
249C3×C4⋊C4—21no—
250C3×C4⋊C4—21no—
251C3×C4⋊C4—42no—
252C3×C4⋊C4#4112yes—
253C3×C22⋊C4—24no—
254C3×C22⋊C4—42no—
255C3×C22⋊C4—42no—
256C3×C22⋊C4—42no—
257C3×C22⋊C4—42no—
258C3×C42—22no—
259C3×C42—22no—
260C3×C42—21no—
261C3×C42—21no—
262C3×C42—42no—
263C3×C42C2×D412yes—
264C3×C42#4112yes—
265#217—42no—
266#213—28no—
267(C2×D3)⋊C4—24no—
268(C2×D3)⋊C4—42no—
269(C2×D3)⋊C4—42no—
270(C2×D3)⋊C4—42no—
271C4⋊Dic3—21no—
272C4⋊Dic3—21no—
273C4⋊Dic3—21no—
274C4⋊Dic3—21no—
275C4⋊Dic3—21no—
276C4⋊Dic3#4112yes—
277Dic3⋊C4—42no—
278C4×Dic3—42no—
279C2×C3⋊C8—21no—
280C2×C3⋊C8—21no—
281C2×C3⋊C8—21no—
282C2×C3⋊C8—21no—
283C2×C3⋊C8—21no—
284C2×C3⋊C8—21no—
285C2×C3⋊C8—21no—
286C2×C3⋊C8—21no—
287C2×C3⋊C8—21no—
288C2×C3⋊C8—21no—
289C2×C3⋊C8C2×D412yes—
290C2×C3⋊C8C2×D412yes—
291C22×D4—21no—
292C22×D4—31no—
293C22×D4—61no—
294C22×D4C22×D311yescharacteristic
295C23×C4—21no—
296C23×C4—61no—
297C23×C4#6711yescharacteristic
298C23×C4#6711yescharacteristic
299C23×C4C22×D311yescharacteristic
300C2×D8—62no—
301C2×D8—62no—
302C2×D8—62no—
303C22×C8—31no—
304C22×C8—31no—
305C22×C8—31no—
306C22×C8—31no—
307#121—22no—
308#121—22no—
309#121—62no—
310#121—62no—
311C4×D4—22no—
312C4×D4—22no—
313C4×D4—44no—
314C4×D4—62no—
315C4×D4—62no—
316C4×D4—124no—
317C2×C4⋊C4—21no—
318C2×C4⋊C4—31no—
319C2×C4⋊C4—31no—
320C2×C4⋊C4—31no—
321C2×C4⋊C4—61no—
322C2×C4⋊C4C22×D311yescharacteristic
323C2×C4⋊C4C22×D311yescharacteristic
324C2×C4⋊C4C22×D311yescharacteristic
325C2×C22⋊C4—21no—
326C2×C22⋊C4—21no—
327C2×C22⋊C4—21no—
328C2×C22⋊C4—21no—
329C2×C22⋊C4—21no—
330C2×C22⋊C4—61no—
331C2×C22⋊C4—61no—
332C2×C22⋊C4—61no—
333C2×C22⋊C4—61no—
334C2×C22⋊C4—61no—
335C2×C42—22no—
336C2×C42—22no—
337C2×C42—21no—
338C2×C42—61no—
339C2×C42#6711yescharacteristic
340C2×C42#6711yescharacteristic
341C2×C42C22×D311yescharacteristic
342C2×C42C22×D311yescharacteristic
343#107—62no—
344#106—62no—
345#106—62no—
346C4⋊C8—62no—
347C4⋊C8—62no—
348#102—62no—
349#102—62no—
350#102—62no—
351#102—62no—
352#102—62no—
353#102—62no—
354C22⋊C8—62no—
355C22⋊C8—62no—
356C4×C8—34no—
357C4×C8—62no—
358#95—21no—
359#95—21no—
360#95—21no—
361#95—61no—
362#95—61no—
363#95—61no—
364C23×C3—21no—
365C23×C3—21no—
366C23×C3—21no—
367C23×C3—21no—
368C23×C3—21no—
369C23×C3—21no—
370C23×C3—22no—
371C23×C3—41no—
372C23×C3—41no—
373C23×C3—41no—
374C23×C3—41no—
375C23×C3—41no—
376C23×C3—41no—
377C23×C3#13512yes—
378C23×C3C22×D411yescharacteristic
379C22×D3—22no—
380C22×D3—41no—
381C22×D3—41no—
382C22×D3—41no—
383C22×D3—41no—
384C22×D3—41no—
385C22×D3—41no—
386C3×D4—22no—
387C3×D4—22no—
388C3×D4—48no—
389C3×D4—41no—
390C3×D4—41no—
391C2×C3×C4—28no—
392C2×C3×C4—21no—
393C2×C3×C4—21no—
394C2×C3×C4—21no—
395C2×C3×C4—21no—
396C2×C3×C4—21no—
397C2×C3×C4—21no—
398C2×C3×C4—21no—
399C2×C3×C4—21no—
400C2×C3×C4—22no—
401C2×C3×C4—21no—
402C2×C3×C4—21no—
403C2×C3×C4—41no—
404C2×C3×C4—41no—
405C2×C3×C4—41no—
406C2×C3×C4—41no—
407C2×C3×C4—41no—
408C2×C3×C4—41no—
409C2×C3×C4—44no—
410C2×C3×C4—41no—
411C2×C3×C4—41no—
412C2×C3×C4—41no—
413C2×C3×C4—41no—
414C2×C3×C4—41no—
415C2×C3×C4—41no—
416C2×C3×C4—84no—
417C2×C3×C4#12112yes—
418C2×C3×C4#12112yes—
419C2×C3×C4#13512yes—
420C2×C3×C4AGL(1,ℤ/8)12yes—
421C2×C3×C4AGL(1,ℤ/8)12yes—
422C2×C3×C4C22×D411yescharacteristic
423C2×C3×C4C2×#4111yescharacteristic
424C2×C3×C4C2×#4111yescharacteristic
425C2×C3×C4C2×#4111yescharacteristic
426C2×C3×C4C2×#4111yescharacteristic
427C2×C3×C4C2×#4111yescharacteristic
428#67—48no—
429C2×Dic3—22no—
430C2×Dic3—41no—
431C2×Dic3—41no—
432C2×Dic3—41no—
433C2×Dic3—41no—
434C2×Dic3—41no—
435C2×Dic3—41no—
436C2×Dic3—41no—
437C2×Dic3—41no—
438D12—22no—
439D12—22no—
440D12—41no—
441D12—41no—
442C4×D3—84no—
443C3⋊C8—22no—
444C3⋊C8—22no—
445C3⋊C8—41no—
446C3⋊C8—41no—
447C24—21no—
448C24—61no—
449C24C2×#6711yescharacteristic
450C2×D4—24no—
451C2×D4—21no—
452C2×D4—21no—
453C2×D4—21no—
454C2×D4—21no—
455C2×D4—21no—
456C2×D4—32no—
457C2×D4—42no—
458C2×D4—42no—
459C2×D4—64no—
460C2×D4—61no—
461C2×D4—61no—
462C2×D4—61no—
463C2×D4—61no—
464C2×D4—61no—
465C2×D4—122no—
466C2×D4—122no—
467C2×D4#23512yes—
468C22×C4—22no—
469C22×C4—22no—
470C22×C4—22no—
471C22×C4—21no—
472C22×C4—22no—
473C22×C4—22no—
474C22×C4—22no—
475C22×C4—21no—
476C22×C4—21no—
477C22×C4—21no—
478C22×C4—21no—
479C22×C4—21no—
480C22×C4—21no—
481C22×C4—21no—
482C22×C4—21no—
483C22×C4—42no—
484C22×C4—42no—
485C22×C4—42no—
486C22×C4—61no—
487C22×C4—61no—
488C22×C4—61no—
489C22×C4—122no—
490C22×C4—122no—
491C22×C4—122no—
492C22×C4C2×#6711yescharacteristic
493C22×C4C2×#6711yescharacteristic
494C22×C4C2×#6711yescharacteristic
495C22×C4C2×#6711yescharacteristic
496C22×C4C2×#6711yescharacteristic
497C22×C4C23×D311yescharacteristic
498D8—68no—
499C2×C8—32no—
500C2×C8—32no—
501C2×C8—61no—
502C2×C8—61no—
503C2×C8—61no—
504C2×C8—61no—
505C2×C8—61no—
506C2×C8—61no—
507C2×C8—61no—
508C2×C8—61no—
509C2×C8—61no—
510C2×C8—61no—
511C4⋊C4—21no—
512C4⋊C4—21no—
513C4⋊C4—21no—
514C4⋊C4—21no—
515C4⋊C4—21no—
516C4⋊C4—32no—
517C4⋊C4—42no—
518C4⋊C4—61no—
519C4⋊C4—61no—
520C4⋊C4—61no—
521C4⋊C4—61no—
522C4⋊C4—61no—
523C4⋊C4—122no—
524C4⋊C4#23512yes—
525C22⋊C4—24no—
526C22⋊C4—42no—
527C22⋊C4—42no—
528C22⋊C4—42no—
529C22⋊C4—42no—
530C22⋊C4—64no—
531C22⋊C4—122no—
532C22⋊C4—122no—
533C22⋊C4—122no—
534C22⋊C4—122no—
535C42—22no—
536C42—22no—
537C42—21no—
538C42—21no—
539C42—42no—
540C42—122no—
541C42D3×D412yes—
542C42#23712yes—
543C22×C3—22no—
544C22×C3—22no—
545C22×C3—22no—
546C22×C3—41no—
547C22×C3—41no—
548C22×C3—41no—
549C22×C3—41no—
550C22×C3—42no—
551C22×C3—42no—
552C22×C3—42no—
553C22×C3—81no—
554C22×C3—81no—
555C22×C3—81no—
556C22×C3—81no—
557C22×C3C2×#12111yescharacteristic
558C22×C3#52511yescharacteristic
559C22×C3#52511yescharacteristic
560C22×C3C2×#13511yescharacteristic
561C22×C3C2×#13511yescharacteristic
562C22×C3C2×AGL(1,ℤ/8)11yescharacteristic
563C22×C3C2×AGL(1,ℤ/8)11yescharacteristic
564C2×D3—42no—
565C2×D3—42no—
566C2×D3—42no—
567C2×D3—81no—
568C2×D3—81no—
569C2×D3—81no—
570C2×D3—81no—
571C3×C4—22no—
572C3×C4—22no—
573C3×C4—42no—
574C3×C4—41no—
575C3×C4—41no—
576C3×C4—81no—
577C3×C4—81no—
578C3×C4#46914yes—
579C3×C4#52511yescharacteristic
580C3×C4#52911yescharacteristic
581C3×C4#52911yescharacteristic
582C3×C4#53211yescharacteristic
583Dic3—42no—
584Dic3—81no—
585Dic3—81no—
586C23—21no—
587C23—21no—
588C23—21no—
589C23—21no—
590C23—21no—
591C23—21no—
592C23—22no—
593C23—41no—
594C23—41no—
595C23—41no—
596C23—41no—
597C23—41no—
598C23—41no—
599C23—62no—
600C23—121no—
601C23—121no—
602C23—121no—
603C23—121no—
604C23—121no—
605C23—121no—
606C23#95012yes—
607C23C22×#6711yescharacteristic
608D4—22no—
609D4—22no—
610D4—48no—
611D4—41no—
612D4—41no—
613D4—62no—
614D4—62no—
615D4—128no—
616D4—121no—
617D4—121no—
618C2×C4—28no—
619C2×C4—21no—
620C2×C4—21no—
621C2×C4—21no—
622C2×C4—21no—
623C2×C4—21no—
624C2×C4—22no—
625C2×C4—21no—
626C2×C4—21no—
627C2×C4—21no—
628C2×C4—21no—
629C2×C4—21no—
630C2×C4—41no—
631C2×C4—41no—
632C2×C4—41no—
633C2×C4—41no—
634C2×C4—41no—
635C2×C4—44no—
636C2×C4—41no—
637C2×C4—41no—
638C2×C4—41no—
639C2×C4—41no—
640C2×C4—41no—
641C2×C4—41no—
642C2×C4—41no—
643C2×C4—62no—
644C2×C4—84no—
645C2×C4—121no—
646C2×C4—121no—
647C2×C4—121no—
648C2×C4—121no—
649C2×C4—121no—
650C2×C4—121no—
651C2×C4—121no—
652C2×C4—121no—
653C2×C4—244no—
654C2×C4#93212yes—
655C2×C4#93912yes—
656C2×C4#93912yes—
657C2×C4#94912yes—
658C2×C4#95012yes—
659C2×C4C2×#23511yescharacteristic
660C2×C4C2×#23511yescharacteristic
661C2×C4C2×D3×D411yescharacteristic
662C2×C4C2×#23711yescharacteristic
663C2×C4D3×#4111yescharacteristic
664C2×C4D3×#4111yescharacteristic
665C8—62no—
666C8—62no—
667C8—121no—
668C8—121no—
669C2×C3—42no—
670C2×C3—82no—
671C2×C3#239211yescharacteristic
672C2×C3#305011yescharacteristic
673C2×C3C2×#46911yescharacteristic
674C2×C3#310511yescharacteristic
675C2×C3#310511yescharacteristic
676C2×C3#310611yescharacteristic
677C2×C3#310611yescharacteristic
678D3—82no—
679C22—22no—
680C22—22no—
681C22—22no—
682C22—41no—
683C22—41no—
684C22—41no—
685C22—41no—
686C22—42no—
687C22—42no—
688C22—42no—
689C22—81no—
690C22—81no—
691C22—81no—
692C22—81no—
693C22—122no—
694C22—122no—
695C22—122no—
696C22—241no—
697C22—241no—
698C22—241no—
699C22—241no—
700C22#579111yescharacteristic
701C22C2×#93211yescharacteristic
702C22C2×#93911yescharacteristic
703C22C2×#94911yescharacteristic
704C22C2×#95011yescharacteristic
705C22C2×#95011yescharacteristic
706C22#582811yescharacteristic
707C4—22no—
708C4—22no—
709C4—42no—
710C4—41no—
711C4—41no—
712C4—81no—
713C4—81no—
714C4—122no—
715C4—241no—
716C4—241no—
717C4#503914yes—
718C4#553811yescharacteristic
719C4#554711yescharacteristic
720C4#554811yescharacteristic
721C4#555711yescharacteristic
722C3#2369711yescharacteristic, complemented, Sylow
723C2—42no—
724C2—82no—
725C2—242no—
726C2#8230911yescharacteristic
727C2#8234511yescharacteristic
728C2#8252911yescharacteristic
729C2C2×#503911yescharacteristic
730C2#8292211yescharacteristic
731C2#8314111yescharacteristic
732C2#8329911yescharacteristic
subgroupG/H
centerC22×C4C2×#67
commutator, cosocleC22×C3×C4C24
FrattiniC22×C4C23×D3
FittingC3×C4×#121C2
socleC23×C3C22×D4
prime radical#71684C2
hypercenterC4×#121D3
hypocenterC3#23697
LCSG ▷ C22×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C22×C4 ◁ C22×C42 ◁ C4×#121

Complements

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

NH ≅ G/Ntype
1. C3×C4×#121C2semidirect
2. C2×C4×#213C2semidirect
3. C4×#930C2semidirect
4. C2×#4925C2semidirect
6. #71680C2semidirect
7. C4×#832C2semidirect
8. #69652C2semidirect
9. #69650C2semidirect
10. #69629C2semidirect
11. #69623C2semidirect
12. #69524C2semidirect
13. #69519C2semidirect
14. C4×#808C2semidirect
15. C4×#809C2semidirect
65. C4×#121D3semidirect
149. C4×C3⋊C8D4semidirect
722. C3#23697semidirect

Maximal subgroups

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

subgroupindex
C3×C4×#1212
C2×C4×#2132
C4×#9302
C2×#49252
#716842
#716802
C4×#8322
#696522
#696502
#696292
#696232
#695242
#695192
C4×#8082
C4×#8092
#236973