Finite Group Databasebeta

← #11069533

Subgroups — #11069533

Order 768.

2238 conjugacy classes of subgroups.

The subgroup lattice has 738 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5561C212yesmaximal, complemented
2C3×D4×C4⋊C4C211yesmaximal, characteristic, complemented
3#82417C211yesmaximal, characteristic
4#82406C212yesmaximal, complemented
5C4×#936C211yesmaximal, characteristic, complemented
6#82177C212yesmaximal, complemented
7#82171C212yesmaximal, complemented
8#76250C212yesmaximal, complemented
9#76216C212yesmaximal, complemented
10#74533C214yesmaximal, complemented
11#74508C214yesmaximal, complemented
12#74369C211yesmaximal, characteristic, complemented
13#74356C211yesmaximal, characteristic, complemented
14#73922C212yesmaximal, complemented
15#73915C212yesmaximal, complemented
16C4⋊C4×Dic6C211yesmaximal, characteristic, complemented
17#73617C211yesmaximal, characteristic, complemented
18#39377—31nomaximal, Sylow
19C2×C3×C4×D4C2212yes—
20C2×C3×C4×D4C2211yescharacteristic
21C22×C3×C4⋊C4C2212yes—
22C2×#938C2212yes—
23C2×#936C2211yescharacteristic
24C2×#930C2212yes—
25C2×#929C2214yes—
26C2×#929C2214yes—
27C2×#924C2214yes—
28#5561—216no—
29C2×#897C2212yes—
30C2×#888C2212yes—
31C2×#888C2212yes—
32C2×#888C2212yes—
33C2×#885C2214yes—
34C2×#879C2214yes—
35C2×C4×D12C2211yescharacteristic
36C2×#872C2212yes—
37C2×C4×Dic6C2212yes—
38C2×C4×Dic6C2211yescharacteristic
39C3×#389C2212yes—
40C3×#385C2214yes—
41C3×#384C2211yescharacteristic
42C3×#380C2212yes—
43C3×C4×C4⋊C4C2211yescharacteristic
44#5221C2211yescharacteristic
45#5212C2212yes—
46#5210C2214yes—
47C4×#217C2212yes—
48C4×#217C2212yes—
49#4994C2214yes—
50#4993C2214yes—
51#4993C2214yes—
52#4988C2211yescharacteristic
53#4988C2212yes—
54#4988C2211yescharacteristic
55#4987C2212yes—
56#4987C2212yes—
57#4984C2212yes—
58#4982C2214yes—
59#4979C2214yes—
60#4977C2211yescharacteristic
61#4975C2212yes—
62#4975C2212yes—
63#4975C2212yes—
64#4975C2212yes—
65Dic3×C4⋊C4C2212yes—
66#4973C2211yescharacteristic
67#4972C2211yescharacteristic
68#4972C2211yescharacteristic
69#4961C2214yes—
70#4959C2214yes—
71#4952C2214yes—
72#4945C2212yes—
73#4945C2212yes—
74C4×(C2×D3)⋊C4C2212yes—
75#4935C2211yescharacteristic
76C42×Dic3C2211yescharacteristic
77#4928C2212yes—
78#4673C2214yes—
79#4669C2212yes—
80#4669C2212yes—
81#4669C2214yes—
82#4658C2214yes—
83#4655C2214yes—
84#4647C2214yes—
85C2×#542—32no—
86#2868—31no—
87#2718—34no—
88#2674—34no—
89#2628—32no—
90#2538—31no—
91#2537—31no—
92#2501—32no—
93#2496—32no—
94#2491—32no—
95#2440—32no—
96#2423—32no—
97#2422—32no—
98Q8×C4⋊C4—31no—
99D4×C4⋊C4D311yescharacteristic, complemented
100C4×#124—31no—
101#2293—31no—
102C22×C3×D4C2311yescharacteristic
103C23×C3×C4C2312yes—
104C23×C3×C4C2314yes—
105C22×#67C2314yes—
106C22×D12C2311yescharacteristic
107C22×C4×D3C2312yes—
108C22×Dic6C2311yescharacteristic
109C22×Dic6C2314yes—
110C3×C4×D4—28no—
111C3×C4×D4—24no—
112C2×C3×C4⋊C4—44no—
113C2×C3×C4⋊C4C2311yescharacteristic
114C2×C3×C4⋊C4C2311yescharacteristic
115C2×C3×C4⋊C4C2311yescharacteristic
116C2×C3×C4⋊C4C2312yes—
117C2×C3×C4⋊C4C2312yes—
118C2×C3×C4⋊C4C2312yes—
119C2×C3×C4⋊C4C2314yes—
120C2×C3×C22⋊C4C2312yes—
121C2×C3×C22⋊C4C2314yes—
122C2×C3×C42C2312yes—
123C2×C3×C42C2311yescharacteristic
124C2×#217C2312yes—
125C2×#217C2312yes—
126C2×#217C2314yes—
127C2×#217C2312yes—
128C2×#217C2312yes—
129#938—28no—
130#936D418yescomplemented
131#930—44no—
132#929—216no—
133#929—48no—
134C2×(C2×D3)⋊C4C2312yes—
135C2×(C2×D3)⋊C4C2312yes—
136C2×(C2×D3)⋊C4C2312yes—
137C2×(C2×D3)⋊C4C2312yes—
138C2×(C2×D3)⋊C4C2312yes—
139C2×(C2×D3)⋊C4C2314yes—
140C2×(C2×D3)⋊C4C2314yes—
141C2×(C2×D3)⋊C4C2314yes—
142C2×C4⋊Dic3C2314yes—
143C2×C4⋊Dic3C2311yescharacteristic
144C2×C4⋊Dic3C2312yes—
145C2×C4⋊Dic3C2312yes—
146C2×C4⋊Dic3C2311yescharacteristic
147C2×C4⋊Dic3C2312yes—
148#924—216no—
149C2×Dic3⋊C4C2312yes—
150C2×Dic3⋊C4C2314yes—
151C2×Dic3⋊C4C2314yes—
152C2×Dic3⋊C4C2312yes—
153C2×Dic3⋊C4C2314yes—
154C2×Dic3⋊C4C2312yes—
155C2×Dic3⋊C4C2314yes—
156C2×Dic3⋊C4C2314yes—
157C2×C4×Dic3C2314yes—
158C2×C4×Dic3C2311yescharacteristic
159C2×C4×Dic3C2311yescharacteristic
160C2×C4×Dic3C2311yescharacteristic
161C2×C4×Dic3C2311yescharacteristic
162C2×C4×Dic3C2311yescharacteristic
163C2×C4×Dic3C2312yes—
164C2×C4×Dic3C2311yescharacteristic
165#897—28no—
166#888—28no—
167#888—44no—
168#888—44no—
169#885—216no—
170#879—216no—
171C4×D12—24no—
172#872—28no—
173C4×Dic6—28no—
174C4×Dic6—24no—
175C3×#95C2312yes—
176C3×#95C2314yes—
177C3⋊#95C2314yes—
178C3⋊#95C2312yes—
179C3⋊#95C2312yes—
180C3⋊#95C2314yes—
181C3⋊#95C2312yes—
182C3⋊#95C2314yes—
183C3⋊#95C2312yes—
184C3⋊#95C2312yes—
185C3⋊#95C2312yes—
186#542—616no—
187C2×C4⋊Q8—32no—
188C2×C4⋊Q8—32no—
189C2×C4⋊Q8—32no—
190C2×#126—34no—
191C2×#124—31no—
192C2×#124—34no—
193C2×#123—34no—
194C2×#123—34no—
195C2×C22⋊Q8—34no—
196C2×C22⋊Q8—32no—
197C2×#121—32no—
198C2×#121—32no—
199C2×C4×Q8—32no—
200C2×C4×Q8—31no—
201C2×C4×D4—31no—
202C2×C4×D4C2×D312yes—
203C2×C4×D4C2×D311yescharacteristic
204C2×#117—32no—
205C22×C4⋊C4C2×D312yes—
206#400—34no—
207#399—34no—
208#399—34no—
209#398—34no—
210#397—34no—
211#396—34no—
212#395—34no—
213#394—34no—
214#394—34no—
215#393—34no—
216#391—31no—
217#390—31no—
218#390—31no—
219#390—32no—
220#390—31no—
221#389—31no—
222#389—31no—
223#389—32no—
224#389—32no—
225#389—34no—
226#389C2×D312yes—
227#388—32no—
228#388—32no—
229#388—32no—
230#388—34no—
231#388—32no—
232#387—34no—
233#385—34no—
234#385C2×D314yes—
235#384—32no—
236#384—32no—
237#384—32no—
238#384—32no—
239#384—31no—
240#384C2×D311yescharacteristic
241#382—31no—
242#380—32no—
243#380—32no—
244#380—32no—
245#380C2×D312yes—
246C4×C4⋊C4—32no—
247C4×C4⋊C4C2×D311yescharacteristic
248C4×C22⋊C4—32no—
249C4×C22⋊C4—32no—
250C4×C22⋊C4—32no—
251C43—31no—
252C24×C3C2412yes—
253C23×D3C2412yes—
254C2×C3×D4—22no—
255C2×C3×D4—22no—
256C2×C3×D4C2×D414yes—
257C22×C3×C4—28no—
258C22×C3×C4—24no—
259C22×C3×C4—24no—
260C22×C3×C4—24no—
261C22×C3×C4—44no—
262C22×C3×C4—44no—
263C22×C3×C4C2412yes—
264C22×C3×C4C2412yes—
265C22×C3×C4C2412yes—
266C22×C3×C4C2414yes—
267C22×C3×C4C2411yescharacteristic
268C22×C3×C4C2411yescharacteristic
269C22×C3×C4C2411yescharacteristic
270C2×#67—28no—
271C2×#67—44no—
272C2×#67—44no—
273C22×Dic3C2412yes—
274C22×Dic3C2412yes—
275C22×Dic3C2414yes—
276C22×Dic3C2411yescharacteristic
277C22×Dic3C2412yes—
278C22×Dic3C2411yescharacteristic
279C22×Dic3C2411yescharacteristic
280C22×Dic3C2411yescharacteristic
281C2×D12—22no—
282C2×D12—22no—
283C2×D12—22no—
284C2×C4×D3—24no—
285C2×C4×D3—24no—
286C2×C4×D3—24no—
287C2×Dic6—22no—
288C2×Dic6—22no—
289C2×Dic6—28no—
290C2×Dic6—44no—
291C2×Dic6—44no—
292C2×Dic6C2×D414yes—
293C3×C4⋊C4—24no—
294C3×C4⋊C4—22no—
295C3×C4⋊C4—24no—
296C3×C4⋊C4—22no—
297C3×C4⋊C4—22no—
298C3×C4⋊C4—42no—
299C3×C4⋊C4—44no—
300C3×C22⋊C4—28no—
301C3×C22⋊C4—24no—
302C3×C42—24no—
303C3×C42#4114yes—
304#217—28no—
305#217—24no—
306#217—24no—
307#217C2×D418yes—
308#217C2×D418yes—
309(C2×D3)⋊C4—24no—
310(C2×D3)⋊C4—24no—
311(C2×D3)⋊C4—24no—
312(C2×D3)⋊C4—28no—
313(C2×D3)⋊C4—24no—
314(C2×D3)⋊C4—24no—
315(C2×D3)⋊C4—44no—
316(C2×D3)⋊C4—44no—
317C4⋊Dic3—24no—
318C4⋊Dic3—22no—
319C4⋊Dic3—22no—
320C4⋊Dic3—24no—
321C4⋊Dic3—28no—
322C4⋊Dic3—42no—
323Dic3⋊C4—24no—
324Dic3⋊C4—28no—
325Dic3⋊C4—24no—
326Dic3⋊C4—24no—
327Dic3⋊C4—28no—
328Dic3⋊C4—28no—
329Dic3⋊C4—44no—
330Dic3⋊C4—44no—
331C4×Dic3—24no—
332C4×Dic3—22no—
333C4×Dic3—22no—
334C4×Dic3—22no—
335C4×Dic3—28no—
336C4×Dic3—22no—
337C4×Dic3—22no—
338C4×Dic3C2×D414yes—
339C22×Q8—31no—
340C22×Q8—34no—
341C22×D4—34no—
342C22×D4—31no—
343C22×D4C22×D311yescharacteristic
344C23×C4—32no—
345C23×C4C22×D312yes—
346C23×C4C22×D314yes—
347C4⋊Q8—68no—
348C4⋊Q8—124no—
349C4⋊Q8—124no—
350#126—616no—
351#124—38no—
352#124—616no—
353#123—616no—
354#123—128no—
355C22⋊Q8—616no—
356C22⋊Q8—68no—
357#121—68no—
358#121—124no—
359C4×Q8—68no—
360C4×Q8—64no—
361C4×D4—28no—
362C4×D4—24no—
363C4×D4—64no—
364#117—68no—
365C2×C4⋊C4—32no—
366C2×C4⋊C4—32no—
367C2×C4⋊C4—31no—
368C2×C4⋊C4—32no—
369C2×C4⋊C4—34no—
370C2×C4⋊C4—31no—
371C2×C4⋊C4—32no—
372C2×C4⋊C4—32no—
373C2×C4⋊C4—34no—
374C2×C4⋊C4—34no—
375C2×C4⋊C4—34no—
376C2×C4⋊C4—34no—
377C2×C4⋊C4—34no—
378C2×C4⋊C4—32no—
379C2×C4⋊C4—44no—
380C2×C4⋊C4C22×D311yescharacteristic
381C2×C4⋊C4C22×D312yes—
382C2×C4⋊C4C22×D312yes—
383C2×C4⋊C4C22×D311yescharacteristic
384C2×C4⋊C4C22×D311yescharacteristic
385C2×C4⋊C4C22×D314yes—
386C2×C4⋊C4C22×D312yes—
387C2×C22⋊C4—32no—
388C2×C22⋊C4—32no—
389C2×C22⋊C4—34no—
390C2×C22⋊C4—32no—
391C2×C22⋊C4—32no—
392C2×C22⋊C4—32no—
393C2×C22⋊C4—32no—
394C2×C22⋊C4—32no—
395C2×C22⋊C4—34no—
396C2×C22⋊C4—32no—
397C2×C22⋊C4—32no—
398C2×C22⋊C4—34no—
399C2×C22⋊C4—34no—
400C2×C22⋊C4C22×D314yes—
401C2×C22⋊C4C22×D312yes—
402C2×C42—31no—
403C2×C42—34no—
404C2×C42—32no—
405C2×C42—31no—
406C2×C42—31no—
407C2×C42—31no—
408C2×C42—31no—
409C2×C42—31no—
410C2×C42C22×D312yes—
411C2×C42C22×D311yescharacteristic
412#95—32no—
413#95—32no—
414#95—32no—
415#95—32no—
416#95—32no—
417#95—32no—
418#95—34no—
419#95—34no—
420#95—34no—
421#95C22×D312yes—
422#95C22×D314yes—
423C23×C3—22no—
424C23×C3—22no—
425C23×C3—22no—
426C23×C3—22no—
427C23×C3—22no—
428C23×C3—22no—
429C23×C3C22×D414yes—
430C23×C3C2511yescharacteristic
431C22×D3—22no—
432C22×D3—22no—
433C22×D3—22no—
434C22×D3—22no—
435C22×D3—22no—
436C22×D3—22no—
437C22×D3—22no—
438C3×D4—28no—
439C2×C3×C4—21no—
440C2×C3×C4—21no—
441C2×C3×C4—22no—
442C2×C3×C4—22no—
443C2×C3×C4—24no—
444C2×C3×C4—22no—
445C2×C3×C4—24no—
446C2×C3×C4—22no—
447C2×C3×C4—24no—
448C2×C3×C4—22no—
449C2×C3×C4—22no—
450C2×C3×C4—22no—
451C2×C3×C4—22no—
452C2×C3×C4—22no—
453C2×C3×C4—48no—
454C2×C3×C4—88no—
455C2×C3×C4C22×D412yes—
456C2×C3×C4C2×#4112yes—
457C2×C3×C4C2×#4112yes—
458C2×C3×C4C2×#4112yes—
459C2×C3×C4H(5,𝔽2)12yes—
460C2×C3×C42−1+412yes—
461C2×C3×C42−1+412yes—
462#67—88no—
463C2×Dic3—22no—
464C2×Dic3—21no—
465C2×Dic3—21no—
466C2×Dic3—21no—
467C2×Dic3—21no—
468C2×Dic3—21no—
469C2×Dic3—21no—
470C2×Dic3—21no—
471C2×Dic3—21no—
472C2×Dic3—22no—
473C2×Dic3—24no—
474C2×Dic3—22no—
475C2×Dic3—22no—
476C2×Dic3—22no—
477C2×Dic3—24no—
478C2×Dic3—22no—
479C2×Dic3—24no—
480C2×Dic3—22no—
481C2×Dic3—22no—
482C2×Dic3C22×D414yes—
483C2×Dic3C22×D412yes—
484C2×Dic3C22×D412yes—
485C2×Dic3H(5,𝔽2)12yes—
486C2×Dic32−1+412yes—
487D12—44no—
488C4×D3—48no—
489Dic6—28no—
490Dic6—88no—
491C24—32no—
492C24C23×D312yes—
493C2×Q8—34no—
494C2×Q8—68no—
495C2×Q8—62no—
496C2×Q8—62no—
497C2×Q8—124no—
498C2×Q8—124no—
499C2×D4—22no—
500C2×D4—22no—
501C2×D4—68no—
502C2×D4—62no—
503C2×D4—62no—
504C2×D4—62no—
505C2×D4—124no—
506C2×D4—124no—
507C2×D4D3×D414yes—
508C22×C4—28no—
509C22×C4—24no—
510C22×C4—24no—
511C22×C4—24no—
512C22×C4—31no—
513C22×C4—31no—
514C22×C4—31no—
515C22×C4—32no—
516C22×C4—31no—
517C22×C4—32no—
518C22×C4—32no—
519C22×C4—34no—
520C22×C4—44no—
521C22×C4—44no—
522C22×C4—64no—
523C22×C4—64no—
524C22×C4—64no—
525C22×C4C23×D312yes—
526C22×C4C23×D312yes—
527C22×C4C23×D312yes—
528C22×C4C23×D314yes—
529C22×C4C23×D311yescharacteristic
530C22×C4C23×D311yescharacteristic
531C22×C4C23×D311yescharacteristic
532C4⋊C4—22no—
533C4⋊C4—24no—
534C4⋊C4—22no—
535C4⋊C4—24no—
536C4⋊C4—22no—
537C4⋊C4—44no—
538C4⋊C4—42no—
539C4⋊C4—64no—
540C4⋊C4—64no—
541C4⋊C4—68no—
542C4⋊C4—68no—
543C4⋊C4—68no—
544C4⋊C4—68no—
545C4⋊C4—62no—
546C4⋊C4—64no—
547C4⋊C4—62no—
548C4⋊C4—64no—
549C4⋊C4—64no—
550C4⋊C4—124no—
551C4⋊C4—124no—
552C4⋊C4—122no—
553C22⋊C4—28no—
554C22⋊C4—24no—
555C22⋊C4—38no—
556C22⋊C4—38no—
557C22⋊C4—64no—
558C22⋊C4—64no—
559C22⋊C4—68no—
560C22⋊C4—64no—
561C22⋊C4—64no—
562C22⋊C4—64no—
563C22⋊C4—64no—
564C22⋊C4—68no—
565C22⋊C4—64no—
566C22⋊C4—124no—
567C22⋊C4—124no—
568C42—24no—
569C42—34no—
570C42—68no—
571C42—62no—
572C42—62no—
573C42—64no—
574C42—62no—
575C42—62no—
576C42—62no—
577C42#23514yes—
578C22×C3—24no—
579C22×C3—24no—
580C22×C3—24no—
581C22×C3—42no—
582C22×C3—42no—
583C22×C3—42no—
584C22×C3—42no—
585C22×C3C23×D411yescharacteristic
586C22×C3C22×#4111yescharacteristic
587C22×C3C2×H(5,𝔽2)11yescharacteristic
588C22×C3C2×H(5,𝔽2)11yescharacteristic
589C22×C3C2×2−1+411yescharacteristic
590C22×C3C2×2−1+411yescharacteristic
591C22×C3C2×2−1+411yescharacteristic
592C2×D3—42no—
593C2×D3—42no—
594C2×D3—42no—
595C2×D3—42no—
596C2×D3—42no—
597C2×D3—42no—
598C2×D3—42no—
599C3×C4—22no—
600C3×C4—42no—
601C3×C4—44no—
602C3×C4—42no—
603C3×C4—42no—
604C3×C4#54214yescomplemented
605C3×C4#54714yes—
606Dic3—24no—
607Dic3—22no—
608Dic3—22no—
609Dic3—22no—
610Dic3—22no—
611Dic3—42no—
612Dic3—44no—
613Dic3—42no—
614C23—22no—
615C23—22no—
616C23—22no—
617C23—22no—
618C23—22no—
619C23—22no—
620C23—62no—
621C23—62no—
622C23—62no—
623C23—62no—
624C23—62no—
625C23—62no—
626C23—62no—
627C23C2×D3×D414yes—
628C23C24×D311yescharacteristic
629Q8—68no—
630Q8—248no—
631D4—28no—
632D4—124no—
633D4—248no—
634C2×C4—21no—
635C2×C4—21no—
636C2×C4—22no—
637C2×C4—22no—
638C2×C4—22no—
639C2×C4—24no—
640C2×C4—22no—
641C2×C4—22no—
642C2×C4—24no—
643C2×C4—22no—
644C2×C4—22no—
645C2×C4—22no—
646C2×C4—24no—
647C2×C4—22no—
648C2×C4—32no—
649C2×C4—32no—
650C2×C4—34no—
651C2×C4—32no—
652C2×C4—32no—
653C2×C4—48no—
654C2×C4—62no—
655C2×C4—61no—
656C2×C4—61no—
657C2×C4—61no—
658C2×C4—61no—
659C2×C4—62no—
660C2×C4—61no—
661C2×C4—61no—
662C2×C4—61no—
663C2×C4—61no—
664C2×C4—62no—
665C2×C4—62no—
666C2×C4—64no—
667C2×C4—62no—
668C2×C4—64no—
669C2×C4—62no—
670C2×C4—62no—
671C2×C4—64no—
672C2×C4—62no—
673C2×C4—88no—
674C2×C4—128no—
675C2×C4C2×#23512yes—
676C2×C4C2×#23512yes—
677C2×C4C2×#23512yes—
678C2×C4C2×D3×D412yes—
679C2×C4#100412yes—
680C2×C4#100712yes—
681C2×C4#101012yes—
682C2×C3—44no—
683C2×C3C2×#54211yescharacteristic
684C2×C3C2×#54711yescharacteristic
685C2×C3#349811yescharacteristic
686C2×C3#349911yescharacteristic
687C2×C3#351111yescharacteristic
688C2×C3#354411yescharacteristic
689C2×C3#355211yescharacteristic
690D3—82no—
691C22—24no—
692C22—24no—
693C22—24no—
694C22—42no—
695C22—42no—
696C22—42no—
697C22—42no—
698C22—122no—
699C22—122no—
700C22—122no—
701C22—122no—
702C22—122no—
703C22—122no—
704C22—122no—
705C22C22×#23511yescharacteristic
706C22C22×D3×D411yescharacteristic
707C22C2×#100411yescharacteristic
708C22C2×#100711yescharacteristic
709C22C2×#101011yescharacteristic
710C22D3×H(5,𝔽2)11yescharacteristic
711C22D3×2−1+411yescharacteristic
712C4—22no—
713C4—42no—
714C4—42no—
715C4—44no—
716C4—42no—
717C4—62no—
718C4—62no—
719C4—62no—
720C4—64no—
721C4—62no—
722C4—124no—
723C4—122no—
724C4—122no—
725C4#550714yes—
726C4#556114yescomplemented
727C3#3937711yescharacteristic, complemented, Sylow
728C2—44no—
729C2—242no—
730C2C2×#550711yescharacteristic
731C2C2×#556111yescharacteristic
732C2#8589311yescharacteristic
733C2#8660811yescharacteristic
734C2#8667911yescharacteristic
735C2#8676411yescharacteristic
736C2#8695311yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×D4×C4⋊C4C2
prime radical#82417C2
hypercenterD4×C4⋊C4D3
hypocenterC3#39377
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ D4×C4⋊C4

Complements

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

NH ≅ G/Ntype
1. C2×#5561C2semidirect
2. C3×D4×C4⋊C4C2semidirect
4. #82406C2semidirect
5. C4×#936C2semidirect
6. #82177C2semidirect
7. #82171C2semidirect
8. #76250C2semidirect
9. #76216C2semidirect
10. #74533C2semidirect
11. #74508C2semidirect
12. #74369C2semidirect
13. #74356C2semidirect
14. #73922C2semidirect
15. #73915C2semidirect
16. C4⋊C4×Dic6C2semidirect
17. #73617C2semidirect
99. D4×C4⋊C4D3semidirect
130. #936D4semidirect
604. C3×C4#542semidirect
726. C4#5561semidirect
727. C3#39377semidirect

Maximal subgroups

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

subgroupindex
C2×#55612
C3×D4×C4⋊C42
#824172
#824062
C4×#9362
#821772
#821712
#762502
#762162
#745332
#745082
#743692
#743562
#739222
#739152
C4⋊C4×Dic62
#736172
#393773