Finite Group Databasebeta

← #11808750

Subgroups — #11808750

Order 1152.

1893 conjugacy classes of subgroups.

The subgroup lattice has 740 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#64090C211yesmaximal, characteristic, complemented
2C2×#67⋊Dic3C212yesmaximal, complemented
3C2×#63898C211yesmaximal, characteristic, complemented
4C2×#63881C212yesmaximal, complemented
5C3×#4960C211yesmaximal, characteristic, complemented
6C3×#4949C211yesmaximal, characteristic, complemented
7#10591724C212yesmaximal, complemented
8#10591391C211yesmaximal, characteristic, complemented
9#10591350C211yesmaximal, characteristic, complemented
10#10591303C212yesmaximal, complemented
11#10591252C211yesmaximal, characteristic, complemented
12#78019—31nomaximal
13#76667—31nomaximal
14C22×#638C2211yescharacteristic
15C23×C3⋊Dic3C2211yescharacteristic
16C22×C4×C3⋊D3C2211yescharacteristic
17C22×C3×#67C2212yes—
18C22×C3×D12C2211yescharacteristic
19C22×#626C2212yes—
20C22×D3×Dic3C2212yes—
21C2×C32×C22⋊C4C2211yescharacteristic
22C2×#3752C2211yescharacteristic
23C2×#3750C2211yescharacteristic
24C2×C4×C3⋊Dic3C2211yescharacteristic
25#64090—24no—
26C2×C3×#217C2212yes—
27C2×C3×(C2×D3)⋊C4C2212yes—
28C2×C3×C4⋊Dic3C2211yescharacteristic
29C2×C3×Dic3⋊C4C2212yes—
30#67⋊Dic3—28no—
31C2×Dic3⋊Dic3C2212yes—
32C2×#3722C2212yes—
33C2×(C2×D3)⋊Dic3C2212yes—
34C2×(C2×D3)⋊Dic3C2212yes—
35C2×Dic32C2212yes—
36#63898—24no—
37#63881—28no—
38C3×C3⋊#95C2211yescharacteristic
39C3×C3⋊#95C2211yescharacteristic
40#63579C2212yes—
41C2×D4×Dic3—32no—
42C2×D4×Dic3—31no—
43C2×#893—31no—
44C2×#893—32no—
45C2×#67⋊C4—32no—
46C2×#67⋊C4—31no—
47C2×#67⋊C4—31no—
48C2×#67⋊C4—32no—
49C2×#67⋊C4—61no—
50C3×#399—31no—
51C3×#392—31no—
52#5223—32no—
53#5223—31no—
54#4993—32no—
55#4993—31no—
56#4960—32no—
57#4960D311yescharacteristic, complemented
58#4949—32no—
59#4949D311yescharacteristic, complemented
60#4677—31no—
61#4671—31no—
62#4648—31no—
63#4648—31no—
64C24×C32C2311yescharacteristic
65C23×C3⋊D3C2311yescharacteristic
66C23×C3×D3C2312yes—
67C22×C32×C4C2311yescharacteristic
68C22×C32×C4C2311yescharacteristic
69C2×#638—22no—
70C2×#638—22no—
71C2×#638—22no—
72C22×C3⋊Dic3—22no—
73C22×C3⋊Dic3—24no—
74C22×C3⋊Dic3C2311yescharacteristic
75C22×C3⋊Dic3C2311yescharacteristic
76C22×C3⋊Dic3C2311yescharacteristic
77C2×C4×C3⋊D3—22no—
78C2×C4×C3⋊D3—24no—
79C2×C3×#67—24no—
80C2×C3×#67—24no—
81C2×C3×#67—24no—
82C22×C3×Dic3C2312yes—
83C22×C3×Dic3C2312yes—
84C22×C3×Dic3C2312yes—
85C2×C3×D12—24no—
86C2×C3×D12—22no—
87C2×#626—24no—
88C2×#626—24no—
89C2×#626—24no—
90C2×D3×Dic3—24no—
91C2×D3×Dic3—24no—
92C2×D3×Dic3—24no—
93C32×C22⋊C4—22no—
94#3752—22no—
95#3750—22no—
96C4×C3⋊Dic3D414yescomplemented
97C3×#217—24no—
98C3×(C2×D3)⋊C4—24no—
99C3×C4⋊Dic3—22no—
100C3×Dic3⋊C4—24no—
101Dic3⋊Dic3—24no—
102#3722—24no—
103(C2×D3)⋊Dic3—24no—
104(C2×D3)⋊Dic3—24no—
105Dic32D418yescomplemented
106#2397—91noSylow
107C22×C3×D4—32no—
108C22×C3×D4—31no—
109C22×#67—31no—
110C22×#67—31no—
111C22×#67—32no—
112C22×#67—61no—
113C22×#67C2×D312yes—
114C23×Dic3—31no—
115C23×Dic3—31no—
116C23×Dic3—32no—
117C23×Dic3—61no—
118C22×D12—32no—
119C22×D12C2×D311yescharacteristic
120C22×C4×D3—32no—
121C22×C4×D3—31no—
122C22×C4×D3—31no—
123C22×C4×D3—61no—
124C2×C3×C4⋊C4—32no—
125C2×C3×C4⋊C4—31no—
126C2×C3×C22⋊C4—21no—
127C2×C3×C22⋊C4—32no—
128C2×C3×C22⋊C4—32no—
129C2×C3×C22⋊C4C2×D311yescharacteristic
130C2×C3×C22⋊C4C2×D311yescharacteristic
131C2×#217—32no—
132C2×#217—32no—
133C2×#217C2×D312yes—
134D4×Dic3—64no—
135D4×Dic3—68no—
136C2×(C2×D3)⋊C4—32no—
137C2×(C2×D3)⋊C4—32no—
138C2×(C2×D3)⋊C4—31no—
139C2×(C2×D3)⋊C4—31no—
140C2×(C2×D3)⋊C4—32no—
141C2×(C2×D3)⋊C4—32no—
142C2×(C2×D3)⋊C4—61no—
143C2×(C2×D3)⋊C4C2×D312yes—
144C2×C4⋊Dic3—32no—
145C2×C4⋊Dic3C2×D311yescharacteristic
146C2×Dic3⋊C4—31no—
147C2×Dic3⋊C4—31no—
148C2×Dic3⋊C4—32no—
149C2×Dic3⋊C4—61no—
150C2×Dic3⋊C4C2×D312yes—
151C2×C4×Dic3—31no—
152C2×C4×Dic3—31no—
153C2×C4×Dic3—32no—
154C2×C4×Dic3—32no—
155C2×C4×Dic3—61no—
156#893—68no—
157#893—64no—
158#67⋊C4—68no—
159#67⋊C4—64no—
160#67⋊C4—64no—
161#67⋊C4—68no—
162#67⋊C4—68no—
163C3×#95—31no—
164C3×#95—31no—
165C3⋊#95—32no—
166C3⋊#95—32no—
167C3⋊#95C2×D311yescharacteristic
168C3⋊#95C2×D311yescharacteristic
169C23×C32—21no—
170C23×C32—21no—
171C23×C32—22no—
172C23×C32—22no—
173C23×C32#4112yes—
174C23×C32C2411yescharacteristic
175C22×C3⋊D3—21no—
176C22×C3⋊D3—21no—
177C22×C3⋊D3—22no—
178C22×C3⋊D3—22no—
179C22×C3⋊D3#4112yes—
180C22×C3×D3—22no—
181C22×C3×D3—22no—
182C22×C3×D3—22no—
183C22×C3×D3—22no—
184C22×C3×D3—22no—
185C22×C3×D3—22no—
186C22×C3×D3#4114yes—
187C2×C32×C4—21no—
188C2×C32×C4—22no—
189C2×C32×C4—22no—
190C2×C32×C4C2×D412yes—
191#638—28no—
192C2×C3⋊Dic3—21no—
193C2×C3⋊Dic3—21no—
194C2×C3⋊Dic3—21no—
195C2×C3⋊Dic3—22no—
196C2×C3⋊Dic3—44no—
197C2×C3⋊Dic3C2×D412yes—
198C2×C3⋊Dic3C2×D414yes—
199C2×C3⋊Dic3C2×D412yes—
200C4×C3⋊D3—44no—
201C3×#67—216no—
202C2×C3×Dic3—22no—
203C2×C3×Dic3—22no—
204C2×C3×Dic3—22no—
205C2×C3×Dic3—22no—
206C2×C3×Dic3—22no—
207C2×C3×Dic3—22no—
208C2×C3×Dic3—22no—
209C2×C3×Dic3C2×D414yes—
210C2×C3×Dic3C2×D414yes—
211C3×D12—28no—
212#626—216no—
213D3×Dic3—48no—
214C2×C4×D4—92no—
215C2×C4×D4—92no—
216C2×C4×D4—91no—
217C2×C4×D4—91no—
218#399—31no—
219#399—91no—
220#399—92no—
221#392—31no—
222#392—91no—
223#392—92no—
224#376—91no—
225C24×C3—21no—
226C24×C3—32no—
227C24×C3C22×D311yescharacteristic
228C24×C3C22×D311yescharacteristic
229C23×D3—31no—
230C23×D3—31no—
231C23×D3—61no—
232C23×D3C22×D312yes—
233C2×C3×D4—64no—
234C2×C3×D4—64no—
235C2×C3×D4—64no—
236C2×C3×D4—64no—
237C2×C3×D4—62no—
238C22×C3×C4—21no—
239C22×C3×C4—21no—
240C22×C3×C4—32no—
241C22×C3×C4—32no—
242C22×C3×C4—32no—
243C22×C3×C4C22×D311yescharacteristic
244C22×C3×C4C22×D311yescharacteristic
245C22×C3×C4C22×D311yescharacteristic
246C22×C3×C4C22×D311yescharacteristic
247C2×#67—24no—
248C2×#67—24no—
249C2×#67—24no—
250C2×#67—64no—
251C2×#67—64no—
252C2×#67—62no—
253C2×#67—62no—
254C2×#67—62no—
255C2×#67—62no—
256C2×#67—64no—
257C2×#67—64no—
258C2×#67—64no—
259C2×#67—62no—
260C2×#67—62no—
261C2×#67—64no—
262C22×Dic3—31no—
263C22×Dic3—31no—
264C22×Dic3—31no—
265C22×Dic3—31no—
266C22×Dic3—31no—
267C22×Dic3—31no—
268C22×Dic3—61no—
269C22×Dic3—61no—
270C22×Dic3—61no—
271C22×Dic3—64no—
272C22×Dic3—64no—
273C22×Dic3—64no—
274C22×Dic3—62no—
275C22×Dic3—62no—
276C22×Dic3—64no—
277C22×Dic3—64no—
278C22×Dic3—64no—
279C22×Dic3—124no—
280C22×Dic3C22×D312yes—
281C22×Dic3C22×D312yes—
282C22×Dic3C22×D312yes—
283C2×D12—24no—
284C2×D12—22no—
285C2×D12—64no—
286C2×D12—64no—
287C2×D12—64no—
288C2×C4×D3—62no—
289C2×C4×D3—62no—
290C2×C4×D3—64no—
291C2×C4×D3—64no—
292C2×C4×D3—64no—
293C2×C4×D3—64no—
294C2×C4×D3—64no—
295C2×C4×D3—64no—
296C2×C4×D3—124no—
297C3×C4⋊C4—64no—
298C3×C4⋊C4—62no—
299C3×C22⋊C4—24no—
300C3×C22⋊C4—22no—
301C3×C22⋊C4—22no—
302C3×C22⋊C4—64no—
303C3×C22⋊C4—64no—
304#217—24no—
305#217—64no—
306#217—64no—
307(C2×D3)⋊C4—24no—
308(C2×D3)⋊C4—64no—
309(C2×D3)⋊C4—64no—
310(C2×D3)⋊C4—64no—
311(C2×D3)⋊C4—64no—
312(C2×D3)⋊C4—62no—
313(C2×D3)⋊C4—62no—
314(C2×D3)⋊C4—64no—
315C4⋊Dic3—22no—
316C4⋊Dic3—64no—
317Dic3⋊C4—24no—
318Dic3⋊C4—62no—
319Dic3⋊C4—62no—
320Dic3⋊C4—64no—
321Dic3⋊C4—64no—
322C4×Dic3—34no—
323C4×Dic3—34no—
324C4×Dic3—38no—
325C4×Dic3—38no—
326C4×Dic3—64no—
327C22×C32—22no—
328C22×C32—24no—
329C22×C32—41no—
330C22×C32—42no—
331C22×C32—41no—
332C22×C32C22×D412yes—
333C22×C32C22×D411yescharacteristic
334C22×C32C2×#4111yescharacteristic
335C22×C32C2×#4112yes—
336C22×C32C2×#4111yescharacteristic
337C2×C3⋊D3—22no—
338C2×C3⋊D3—24no—
339C2×C3⋊D3—41no—
340C2×C3⋊D3—42no—
341C2×C3⋊D3—41no—
342C2×C3×D3—24no—
343C2×C3×D3—24no—
344C2×C3×D3—24no—
345C2×C3×D3—42no—
346C2×C3×D3—42no—
347C2×C3×D3—42no—
348C2×C3×D3—42no—
349C32×C4—22no—
350C32×C4—41no—
351C3⋊Dic3—22no—
352C3⋊Dic3—41no—
353C3⋊Dic3#12714yes—
354C3×Dic3—24no—
355C3×Dic3—24no—
356C3×Dic3—42no—
357C22×D4—32no—
358C22×D4—31no—
359C22×D4—92no—
360C22×D4—91no—
361C23×C4—92no—
362C23×C4—91no—
363C23×C4—91no—
364C4×D4—184no—
365C4×D4—188no—
366C4×D4—188no—
367C4×D4—184no—
368C2×C4⋊C4—32no—
369C2×C4⋊C4—31no—
370C2×C4⋊C4—92no—
371C2×C4⋊C4—91no—
372C2×C22⋊C4—32no—
373C2×C22⋊C4—32no—
374C2×C22⋊C4—92no—
375C2×C22⋊C4—92no—
376C2×C22⋊C4—92no—
377C2×C22⋊C4—91no—
378C2×C22⋊C4D3211yescharacteristic
379C2×C42—92no—
380C2×C42—91no—
381#95—31no—
382#95—31no—
383#95—92no—
384C23×C3—22no—
385C23×C3—22no—
386C23×C3—22no—
387C23×C3—21no—
388C23×C3—21no—
389C23×C3—22no—
390C23×C3—22no—
391C23×C3—21no—
392C23×C3—21no—
393C23×C3—22no—
394C23×C3—21no—
395C23×C3—22no—
396C23×C3—34no—
397C23×C3—42no—
398C23×C3—42no—
399C23×C3—62no—
400C23×C3—62no—
401C23×C3—62no—
402C23×C3—62no—
403C23×C3—62no—
404C23×C3—62no—
405C23×C3#23712yes—
406C23×C3#23912yes—
407C23×C3C23×D311yescharacteristic
408C23×C3C23×D311yescharacteristic
409C22×D3—22no—
410C22×D3—22no—
411C22×D3—22no—
412C22×D3—22no—
413C22×D3—22no—
414C22×D3—22no—
415C22×D3—32no—
416C22×D3—32no—
417C22×D3—62no—
418C22×D3—62no—
419C22×D3—62no—
420C22×D3—62no—
421C22×D3—62no—
422C22×D3—61no—
423C22×D3—61no—
424C22×D3—62no—
425C22×D3—61no—
426C22×D3—61no—
427C22×D3—62no—
428C22×D3—122no—
429C22×D3—122no—
430C22×D3#23714yes—
431C3×D4—68no—
432C3×D4—616no—
433C2×C3×C4—22no—
434C2×C3×C4—22no—
435C2×C3×C4—22no—
436C2×C3×C4—22no—
437C2×C3×C4—21no—
438C2×C3×C4—21no—
439C2×C3×C4—22no—
440C2×C3×C4—22no—
441C2×C3×C4—34no—
442C2×C3×C4—34no—
443C2×C3×C4—42no—
444C2×C3×C4—42no—
445C2×C3×C4—62no—
446C2×C3×C4—62no—
447C2×C3×C4—62no—
448C2×C3×C4—62no—
449C2×C3×C4—62no—
450C2×C3×C4—62no—
451C2×C3×C4—62no—
452C2×C3×C4D3×D412yes—
453C2×C3×C4D3×D412yes—
454#67—216no—
455#67—616no—
456#67—616no—
457#67—68no—
458#67—68no—
459C2×Dic3—22no—
460C2×Dic3—22no—
461C2×Dic3—22no—
462C2×Dic3—22no—
463C2×Dic3—22no—
464C2×Dic3—22no—
465C2×Dic3—22no—
466C2×Dic3—34no—
467C2×Dic3—32no—
468C2×Dic3—34no—
469C2×Dic3—32no—
470C2×Dic3—32no—
471C2×Dic3—32no—
472C2×Dic3—62no—
473C2×Dic3—62no—
474C2×Dic3—64no—
475C2×Dic3—62no—
476C2×Dic3—62no—
477C2×Dic3—61no—
478C2×Dic3—61no—
479C2×Dic3—61no—
480C2×Dic3—61no—
481C2×Dic3—62no—
482C2×Dic3—62no—
483C2×Dic3—61no—
484C2×Dic3—61no—
485C2×Dic3—62no—
486C2×Dic3—122no—
487C2×Dic3—128no—
488C2×Dic3—124no—
489C2×Dic3—124no—
490C2×Dic3—128no—
491C2×Dic3D3×D414yes—
492C2×Dic3D3×D414yes—
493D12—28no—
494D12—616no—
495C4×D3—124no—
496C4×D3—124no—
497C4×D3—128no—
498C4×D3—128no—
499C2×C32—42no—
500C2×C32#52511yescharacteristic
501C2×C32#52512yes—
502C2×C32#52512yes—
503C2×C32#52511yescharacteristic
504C2×C32C2×#12711yescharacteristic
505C3⋊D3—42no—
506C3×D3—44no—
507C24—32no—
508C24—91no—
509C24C2×D3211yescharacteristic
510C2×D4—64no—
511C2×D4—64no—
512C2×D4—64no—
513C2×D4—64no—
514C2×D4—62no—
515C2×D4—184no—
516C2×D4—184no—
517C2×D4—184no—
518C2×D4—182no—
519C2×D4—182no—
520C2×D4—182no—
521C22×C4—32no—
522C22×C4—32no—
523C22×C4—32no—
524C22×C4—91no—
525C22×C4—91no—
526C22×C4—91no—
527C22×C4—182no—
528C22×C4—184no—
529C22×C4—184no—
530C22×C4—184no—
531C22×C4—184no—
532C22×C4—182no—
533C22×C4—184no—
534C22×C4C2×D3211yescharacteristic
535C22×C4C2×D3211yescharacteristic
536C4⋊C4—64no—
537C4⋊C4—62no—
538C4⋊C4—182no—
539C4⋊C4—184no—
540C22⋊C4—22no—
541C22⋊C4—64no—
542C22⋊C4—64no—
543C22⋊C4—184no—
544C22⋊C4—184no—
545C22⋊C4—184no—
546C22⋊C4—182no—
547C42—98no—
548C42—94no—
549C22×C3—24no—
550C22×C3—24no—
551C22×C3—22no—
552C22×C3—22no—
553C22×C3—24no—
554C22×C3—21no—
555C22×C3—21no—
556C22×C3—22no—
557C22×C3—22no—
558C22×C3—21no—
559C22×C3—44no—
560C22×C3—42no—
561C22×C3—42no—
562C22×C3—44no—
563C22×C3—41no—
564C22×C3—42no—
565C22×C3—41no—
566C22×C3—41no—
567C22×C3—41no—
568C22×C3—42no—
569C22×C3—64no—
570C22×C3—64no—
571C22×C3—64no—
572C22×C3—122no—
573C22×C3—122no—
574C22×C3—122no—
575C22×C3—122no—
576C22×C3C2×D3×D412yes—
577C22×C3C2×D3×D412yes—
578C22×C3C2×D3×D411yescharacteristic
579C22×C3C2×D3×D411yescharacteristic
580C22×C3C2×#23711yescharacteristic
581C22×C3C2×#23712yes—
582C22×C3C2×#23911yescharacteristic
583C22×C3D3×#4111yescharacteristic
584C22×C3D3×#4111yescharacteristic
585C22×C3D3×#4112yes—
586C2×D3—24no—
587C2×D3—24no—
588C2×D3—24no—
589C2×D3—42no—
590C2×D3—42no—
591C2×D3—42no—
592C2×D3—42no—
593C2×D3—64no—
594C2×D3—64no—
595C2×D3—64no—
596C2×D3—62no—
597C2×D3—62no—
598C2×D3—124no—
599C2×D3—122no—
600C2×D3—124no—
601C2×D3—122no—
602C2×D3—121no—
603C2×D3—121no—
604C2×D3—121no—
605C2×D3—122no—
606C2×D3—121no—
607C2×D3—122no—
608C3×C4—22no—
609C3×C4—22no—
610C3×C4—42no—
611C3×C4—42no—
612C3×C4—41no—
613C3×C4—41no—
614C3×C4—64no—
615C3×C4—64no—
616C3×C4—122no—
617Dic3—24no—
618Dic3—24no—
619Dic3—34no—
620Dic3—34no—
621Dic3—42no—
622Dic3—64no—
623Dic3—64no—
624Dic3—62no—
625Dic3—62no—
626Dic3—122no—
627Dic3—121no—
628Dic3—121no—
629C32#239711yescharacteristic, complemented, Sylow
630C23—21no—
631C23—22no—
632C23—22no—
633C23—21no—
634C23—34no—
635C23—62no—
636C23—62no—
637C23—62no—
638C23—62no—
639C23—62no—
640C23—62no—
641C23—92no—
642C23—181no—
643C23—182no—
644C23—182no—
645C23—181no—
646C23#379612yes—
647C23C22×D3211yescharacteristic
648D4—68no—
649D4—616no—
650D4—1816no—
651D4—188no—
652C2×C4—22no—
653C2×C4—22no—
654C2×C4—21no—
655C2×C4—34no—
656C2×C4—34no—
657C2×C4—62no—
658C2×C4—62no—
659C2×C4—62no—
660C2×C4—62no—
661C2×C4—62no—
662C2×C4—62no—
663C2×C4—62no—
664C2×C4—94no—
665C2×C4—92no—
666C2×C4—92no—
667C2×C4—181no—
668C2×C4—181no—
669C2×C4—182no—
670C2×C4—181no—
671C2×C4—364no—
672C2×C4—368no—
673C2×C4—364no—
674C2×C4#381112yes—
675C2×C3—22no—
676C2×C3—21no—
677C2×C3—21no—
678C2×C3—22no—
679C2×C3—21no—
680C2×C3—44no—
681C2×C3—42no—
682C2×C3—42no—
683C2×C3—124no—
684C2×C3#558612yes—
685C2×C3#558611yescharacteristic
686C2×C3#560611yescharacteristic
687C2×C3#560612yes—
688C2×C3#562712yes—
689C2×C3#562711yescharacteristic
690C2×C3#565611yescharacteristic
691C2×C3#565612yes—
692C2×C3D3×#12711yescharacteristic
693C2×C3D3×#12711yescharacteristic
694D3—44no—
695D3—124no—
696D3—122no—
697D3—122no—
698C22—24no—
699C22—22no—
700C22—41no—
701C22—42no—
702C22—41no—
703C22—64no—
704C22—64no—
705C22—64no—
706C22—122no—
707C22—122no—
708C22—122no—
709C22—122no—
710C22—182no—
711C22—184no—
712C22—362no—
713C22—361no—
714C22—361no—
715C22C2×#379611yescharacteristic
716C22#6430611yescharacteristic
717C22D32×D412yes—
718C22D3×#23712yes—
719C22C2×#381111yescharacteristic
720C4—22no—
721C4—41no—
722C4—64no—
723C4—64no—
724C4—94no—
725C4—122no—
726C4—182no—
727C4—361no—
728C3—21no—
729C3#7666711yescharacteristic, complemented
730C3#7801911yescharacteristic, complemented
731C2—42no—
732C2—124no—
733C2—362no—
734C2#1059405512yes—
735C2#1059426712yes—
736C2#1059492211yescharacteristic
737C2#1059516011yescharacteristic
738C2#1059530011yescharacteristic
subgroupG/H
center, FrattiniC23C22×D32
commutator, socle, cosocleC23×C32C24
FittingC2×C32×C22⋊C4C22
hypercenterC2×C22⋊C4D32
hypocenterC32#2397
LCSG ▷ C23×C32 ▷ C32
UCSC1 ◁ C23 ◁ C2×C22⋊C4

Complements

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

NH ≅ G/Ntype
1. C2×#64090C2semidirect
2. C2×#67⋊Dic3C2semidirect
3. C2×#63898C2semidirect
4. C2×#63881C2semidirect
5. C3×#4960C2semidirect
6. C3×#4949C2semidirect
7. #10591724C2semidirect
8. #10591391C2semidirect
9. #10591350C2semidirect
10. #10591303C2semidirect
11. #10591252C2semidirect
57. #4960D3semidirect
59. #4949D3semidirect
96. C4×C3⋊Dic3D4semidirect
105. Dic32D4semidirect
629. C32#2397semidirect
729. C3#76667semidirect
730. C3#78019semidirect

Maximal subgroups

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

subgroupindex
C2×#640902
C2×#67⋊Dic32
C2×#638982
C2×#638812
C3×#49602
C3×#49492
#105917242
#105913912
#105913502
#105913032
#105912522
#780193
#766673