Finite Group Databasebeta

← C32×#2459 #11769508

Subgroups — C32×#2459 #11769508

Order 1152.

1770 conjugacy classes of subgroups.

The subgroup lattice has 660 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C32×#124C211yesmaximal, characteristic, complemented
2C2×C32×C4×D4C211yesmaximal, characteristic, complemented
3C32×#394C211yesmaximal, characteristic, complemented
4C32×#394C211yesmaximal, characteristic, complemented
5C32×#393C211yesmaximal, characteristic, complemented
6C32×#392C211yesmaximal, characteristic
7C32×#391C211yesmaximal, characteristic, complemented
8C32×#388C211yesmaximal, characteristic, complemented
9C32×#388C211yesmaximal, characteristic, complemented
10C32×#388C211yesmaximal, characteristic, complemented
11C32×#387C211yesmaximal, characteristic, complemented
12C32×#386C211yesmaximal, characteristic, complemented
13C32×#386C211yesmaximal, characteristic, complemented
14C32×#381C211yesmaximal, characteristic, complemented
15C32×C4×C22⋊C4C211yesmaximal, characteristic, complemented
16C3×#2459C314yesmaximal, direct product factor
17C22×C32×Q8C2211yescharacteristic
18C22×C32×D4C2211yescharacteristic
19C22×C32×D4C2211yescharacteristic
20C22×C32×D4C2211yescharacteristic
21C23×C32×C4C2211yescharacteristic
22C23×C32×C4C2211yescharacteristic
23C32×#124—24no—
24C32×C4×D4—24no—
25C2×C32×C4⋊C4C2211yescharacteristic
26C2×C32×C4⋊C4C2211yescharacteristic
27C2×C32×C4⋊C4C2211yescharacteristic
28C2×C32×C22⋊C4C2211yescharacteristic
29C2×C32×C22⋊C4C2211yescharacteristic
30C2×C32×C22⋊C4C2211yescharacteristic
31C2×C32×C22⋊C4C2211yescharacteristic
32C2×C32×C22⋊C4C2211yescharacteristic
33C2×C32×C22⋊C4C2211yescharacteristic
34C2×C32×C22⋊C4C2211yescharacteristic
35C2×C32×C22⋊C4C2211yescharacteristic
36C2×C32×C22⋊C4C2211yescharacteristic
37C2×C32×C22⋊C4C2211yescharacteristic
38C2×C32×C22⋊C4C2211yescharacteristic
39C2×C32×C22⋊C4C2211yescharacteristic
40C2×C32×C22⋊C4C2211yescharacteristic
41C2×C32×C42C2211yescharacteristic
42C2×C32×C42C2211yescharacteristic
43C2×C32×C42C2211yescharacteristic
44C32×#95C2211yescharacteristic
45C32×#95C2211yescharacteristic
46C32×#95C2211yescharacteristic
47C32×#95C2211yescharacteristic
48C32×#95C2211yescharacteristic
49C32×#95C2211yescharacteristic
50C32×#95C2211yescharacteristic
51C32×#95C2211yescharacteristic
52C32×#95C2211yescharacteristic
53C32×#95C2211yescharacteristic
54C2×C3×#124C2×C314yescomplemented
55C2×C3×C4×D4C2×C314yescomplemented
56C3×#394C2×C314yescomplemented
57C3×#394C2×C314yescomplemented
58C3×#393C2×C314yescomplemented
59C3×#392C2×C314yes—
60C3×#391C2×C314yescomplemented
61C3×#388C2×C314yescomplemented
62C3×#388C2×C314yescomplemented
63C3×#388C2×C314yescomplemented
64C3×#387C2×C314yescomplemented
65C3×#386C2×C314yescomplemented
66C3×#386C2×C314yescomplemented
67C3×#381C2×C314yescomplemented
68C3×C4×C22⋊C4C2×C314yescomplemented
69C24×C32C2311yescharacteristic
70C24×C32C2311yescharacteristic
71C24×C32C2311yescharacteristic
72C2×C32×Q8—22no—
73C2×C32×Q8—22no—
74C2×C32×Q8—41no—
75C2×C32×D4—22no—
76C2×C32×D4—22no—
77C2×C32×D4—22no—
78C2×C32×D4—22no—
79C2×C32×D4—22no—
80C2×C32×D4—22no—
81C2×C32×D4—41no—
82C2×C32×D4—41no—
83C2×C32×D4—41no—
84C22×C32×C4—22no—
85C22×C32×C4—22no—
86C22×C32×C4—22no—
87C22×C32×C4—22no—
88C22×C32×C4—41no—
89C22×C32×C4—41no—
90C22×C32×C4C2311yescharacteristic
91C22×C32×C4C2311yescharacteristic
92C22×C32×C4C2311yescharacteristic
93C22×C32×C4C2311yescharacteristic
94C22×C32×C4C2311yescharacteristic
95C22×C32×C4C2311yescharacteristic
96C22×C32×C4C2311yescharacteristic
97C22×C32×C4C2311yescharacteristic
98C22×C32×C4C2311yescharacteristic
99C22×C32×C4C2311yescharacteristic
100C22×C32×C4C2311yescharacteristic
101C22×C32×C4C2311yescharacteristic
102C32×C4⋊C4—22no—
103C32×C4⋊C4—22no—
104C32×C4⋊C4—41no—
105C32×C22⋊C4—22no—
106C32×C22⋊C4—22no—
107C32×C22⋊C4—22no—
108C32×C22⋊C4—22no—
109C32×C22⋊C4—22no—
110C32×C22⋊C4—22no—
111C32×C22⋊C4—22no—
112C32×C22⋊C4—22no—
113C32×C22⋊C4—41no—
114C32×C22⋊C4—41no—
115C32×C22⋊C4—41no—
116C32×C22⋊C4—41no—
117C32×C22⋊C4D414yescomplemented
118C32×C42—22no—
119C32×C42—22no—
120C32×C42—41no—
121#2459C3211yescharacteristic, direct product factor, Sylow
122C22×C3×Q8C22×C314yes—
123C22×C3×D4C22×C314yes—
124C22×C3×D4C22×C314yes—
125C22×C3×D4C22×C314yes—
126C23×C3×C4C22×C314yes—
127C23×C3×C4C22×C314yes—
128C3×#124—216no—
129C3×C4×D4—216no—
130C2×C3×C4⋊C4C22×C314yes—
131C2×C3×C4⋊C4C22×C314yes—
132C2×C3×C4⋊C4C22×C314yes—
133C2×C3×C22⋊C4C22×C314yes—
134C2×C3×C22⋊C4C22×C314yes—
135C2×C3×C22⋊C4C22×C314yes—
136C2×C3×C22⋊C4C22×C314yes—
137C2×C3×C22⋊C4C22×C314yes—
138C2×C3×C22⋊C4C22×C314yes—
139C2×C3×C22⋊C4C22×C314yes—
140C2×C3×C22⋊C4C22×C314yes—
141C2×C3×C22⋊C4C22×C314yes—
142C2×C3×C22⋊C4C22×C314yes—
143C2×C3×C22⋊C4C22×C314yes—
144C2×C3×C22⋊C4C22×C314yes—
145C2×C3×C22⋊C4C22×C314yes—
146C2×C3×C42C22×C314yes—
147C2×C3×C42C22×C314yes—
148C2×C3×C42C22×C314yes—
149C3×#95C22×C314yes—
150C3×#95C22×C314yes—
151C3×#95C22×C314yes—
152C3×#95C22×C314yes—
153C3×#95C22×C314yes—
154C3×#95C22×C314yes—
155C3×#95C22×C314yes—
156C3×#95C22×C314yes—
157C3×#95C22×C314yes—
158C3×#95C22×C314yes—
159C23×C32—21no—
160C23×C32—21no—
161C23×C32—21no—
162C23×C32—21no—
163C23×C32—21no—
164C23×C32—21no—
165C23×C32—21no—
166C23×C32—21no—
167C23×C32—21no—
168C23×C32—21no—
169C23×C32—21no—
170C23×C32—21no—
171C23×C32—21no—
172C23×C32—21no—
173C23×C32—21no—
174C23×C32—21no—
175C23×C32—21no—
176C23×C32—21no—
177C23×C32—21no—
178C23×C32C2×D412yes—
179C23×C32#4112yes—
180C23×C32C2411yescharacteristic
181C32×Q8—44no—
182C32×D4—28no—
183C32×D4—44no—
184C32×D4—44no—
185C2×C32×C4—21no—
186C2×C32×C4—21no—
187C2×C32×C4—21no—
188C2×C32×C4—21no—
189C2×C32×C4—21no—
190C2×C32×C4—21no—
191C2×C32×C4—21no—
192C2×C32×C4—21no—
193C2×C32×C4—21no—
194C2×C32×C4—21no—
195C2×C32×C4—21no—
196C2×C32×C4—21no—
197C2×C32×C4—21no—
198C2×C32×C4—21no—
199C2×C32×C4—21no—
200C2×C32×C4—21no—
201C2×C32×C4—21no—
202C2×C32×C4—21no—
203C2×C32×C4—21no—
204C2×C32×C4—21no—
205C2×C32×C4—21no—
206C2×C32×C4—21no—
207C2×C32×C4—21no—
208C2×C32×C4—21no—
209C2×C32×C4—21no—
210C2×C32×C4—21no—
211C2×C32×C4—21no—
212C2×C32×C4—21no—
213C2×C32×C4—21no—
214C2×C32×C4—21no—
215C2×C32×C4—21no—
216C2×C32×C4—44no—
217C2×C32×C4—44no—
218C2×C32×C4C2×D412yes—
219C2×C32×C4C2×D412yes—
220C2×C32×C4#4112yes—
221C2×C32×C4#4112yes—
222C2×C32×C4#4112yes—
223C2×#124C2×C3211yescharacteristic, complemented
224C2×C4×D4C2×C3211yescharacteristic, complemented
225#394C2×C3211yescharacteristic, complemented
226#394C2×C3211yescharacteristic, complemented
227#393C2×C3211yescharacteristic, complemented
228#392C2×C3211yescharacteristic
229#391C2×C3211yescharacteristic, complemented
230#388C2×C3211yescharacteristic, complemented
231#388C2×C3211yescharacteristic, complemented
232#388C2×C3211yescharacteristic, complemented
233#387C2×C3211yescharacteristic, complemented
234#386C2×C3211yescharacteristic, complemented
235#386C2×C3211yescharacteristic, complemented
236#381C2×C3211yescharacteristic, complemented
237C4×C22⋊C4C2×C3211yescharacteristic, complemented
238C24×C3C23×C314yes—
239C24×C3C23×C314yes—
240C24×C3C23×C314yes—
241C2×C3×Q8—28no—
242C2×C3×Q8—28no—
243C2×C3×Q8—44no—
244C2×C3×D4—28no—
245C2×C3×D4—28no—
246C2×C3×D4—28no—
247C2×C3×D4—28no—
248C2×C3×D4—28no—
249C2×C3×D4—28no—
250C2×C3×D4—44no—
251C2×C3×D4—44no—
252C2×C3×D4—44no—
253C22×C3×C4—28no—
254C22×C3×C4—28no—
255C22×C3×C4—28no—
256C22×C3×C4—28no—
257C22×C3×C4—44no—
258C22×C3×C4—44no—
259C22×C3×C4C23×C314yes—
260C22×C3×C4C23×C314yes—
261C22×C3×C4C23×C314yes—
262C22×C3×C4C23×C314yes—
263C22×C3×C4C23×C314yes—
264C22×C3×C4C23×C314yes—
265C22×C3×C4C23×C314yes—
266C22×C3×C4C23×C314yes—
267C22×C3×C4C23×C314yes—
268C22×C3×C4C23×C314yes—
269C22×C3×C4C23×C314yes—
270C22×C3×C4C23×C314yes—
271C3×C4⋊C4—28no—
272C3×C4⋊C4—28no—
273C3×C4⋊C4—44no—
274C3×C22⋊C4—28no—
275C3×C22⋊C4—28no—
276C3×C22⋊C4—28no—
277C3×C22⋊C4—28no—
278C3×C22⋊C4—28no—
279C3×C22⋊C4—28no—
280C3×C22⋊C4—28no—
281C3×C22⋊C4—28no—
282C3×C22⋊C4—44no—
283C3×C22⋊C4—44no—
284C3×C22⋊C4—44no—
285C3×C22⋊C4—44no—
286C3×C22⋊C4C3×D4116yescomplemented
287C3×C42—28no—
288C3×C42—28no—
289C3×C42—44no—
290C22×C32—22no—
291C22×C32—22no—
292C22×C32—22no—
293C22×C32—22no—
294C22×C32—22no—
295C22×C32—22no—
296C22×C32—41no—
297C22×C32—41no—
298C22×C32—41no—
299C22×C32—41no—
300C22×C32—41no—
301C22×C32—41no—
302C22×C32—41no—
303C22×C32—41no—
304C22×C32—41no—
305C22×C32—41no—
306C22×C32—41no—
307C22×C32—41no—
308C22×C32—41no—
309C22×C32—41no—
310C22×C32—41no—
311C22×C32C22×D411yescharacteristic
312C22×C32C2×#4111yescharacteristic
313C22×C32C2×#4111yescharacteristic
314C22×C32C2×#4111yescharacteristic
315C22×C32C2×#4111yescharacteristic
316C22×C32H(5,𝔽2)11yescharacteristic
317C22×C32H(5,𝔽2)11yescharacteristic
318C32×C4—22no—
319C32×C4—22no—
320C32×C4—22no—
321C32×C4—22no—
322C32×C4—22no—
323C32×C4—41no—
324C32×C4—41no—
325C32×C4—41no—
326C32×C4—41no—
327C32×C4—41no—
328C32×C4—41no—
329C32×C4—41no—
330C22×Q8C22×C3211yescharacteristic
331C22×D4C22×C3211yescharacteristic
332C22×D4C22×C3211yescharacteristic
333C22×D4C22×C3211yescharacteristic
334C23×C4C22×C3211yescharacteristic
335C23×C4C22×C3211yescharacteristic
336#124—24no—
337C4×D4—24no—
338C2×C4⋊C4C22×C3211yescharacteristic
339C2×C4⋊C4C22×C3211yescharacteristic
340C2×C4⋊C4C22×C3211yescharacteristic
341C2×C22⋊C4C22×C3211yescharacteristic
342C2×C22⋊C4C22×C3211yescharacteristic
343C2×C22⋊C4C22×C3211yescharacteristic
344C2×C22⋊C4C22×C3211yescharacteristic
345C2×C22⋊C4C22×C3211yescharacteristic
346C2×C22⋊C4C22×C3211yescharacteristic
347C2×C22⋊C4C22×C3211yescharacteristic
348C2×C22⋊C4C22×C3211yescharacteristic
349C2×C22⋊C4C22×C3211yescharacteristic
350C2×C22⋊C4C22×C3211yescharacteristic
351C2×C22⋊C4C22×C3211yescharacteristic
352C2×C22⋊C4C22×C3211yescharacteristic
353C2×C22⋊C4C22×C3211yescharacteristic
354C2×C42C22×C3211yescharacteristic
355C2×C42C22×C3211yescharacteristic
356C2×C42C22×C3211yescharacteristic
357#95C22×C3211yescharacteristic
358#95C22×C3211yescharacteristic
359#95C22×C3211yescharacteristic
360#95C22×C3211yescharacteristic
361#95C22×C3211yescharacteristic
362#95C22×C3211yescharacteristic
363#95C22×C3211yescharacteristic
364#95C22×C3211yescharacteristic
365#95C22×C3211yescharacteristic
366#95C22×C3211yescharacteristic
367C23×C3—24no—
368C23×C3—24no—
369C23×C3—24no—
370C23×C3—24no—
371C23×C3—24no—
372C23×C3—24no—
373C23×C3—24no—
374C23×C3—24no—
375C23×C3—24no—
376C23×C3—24no—
377C23×C3—24no—
378C23×C3—24no—
379C23×C3—24no—
380C23×C3—24no—
381C23×C3—24no—
382C23×C3—24no—
383C23×C3—24no—
384C23×C3—24no—
385C23×C3—24no—
386C23×C3C2×C3×D418yes—
387C23×C3C3×#4118yes—
388C23×C3C24×C314yes—
389C3×Q8—416no—
390C3×D4—232no—
391C3×D4—416no—
392C3×D4—416no—
393C2×C3×C4—24no—
394C2×C3×C4—24no—
395C2×C3×C4—24no—
396C2×C3×C4—24no—
397C2×C3×C4—24no—
398C2×C3×C4—24no—
399C2×C3×C4—24no—
400C2×C3×C4—24no—
401C2×C3×C4—24no—
402C2×C3×C4—24no—
403C2×C3×C4—24no—
404C2×C3×C4—24no—
405C2×C3×C4—24no—
406C2×C3×C4—24no—
407C2×C3×C4—24no—
408C2×C3×C4—24no—
409C2×C3×C4—24no—
410C2×C3×C4—24no—
411C2×C3×C4—24no—
412C2×C3×C4—24no—
413C2×C3×C4—24no—
414C2×C3×C4—24no—
415C2×C3×C4—24no—
416C2×C3×C4—24no—
417C2×C3×C4—24no—
418C2×C3×C4—24no—
419C2×C3×C4—24no—
420C2×C3×C4—24no—
421C2×C3×C4—24no—
422C2×C3×C4—24no—
423C2×C3×C4—24no—
424C2×C3×C4—416no—
425C2×C3×C4—416no—
426C2×C3×C4C2×C3×D418yes—
427C2×C3×C4C2×C3×D418yes—
428C2×C3×C4C3×#4118yes—
429C2×C3×C4C3×#4118yes—
430C2×C3×C4C3×#4118yes—
431C2×C32—42no—
432C2×C32—42no—
433C2×C32—81no—
434C2×C32#52511yescharacteristic
435C2×C32#52911yescharacteristic
436C2×C32#53811yescharacteristic
437C2×C32#54611yescharacteristic
438C2×C32#54611yescharacteristic
439C2×C32#55511yescharacteristic
440C2×C32#55911yescharacteristic
441C24C23×C3211yescharacteristic
442C24C23×C3211yescharacteristic
443C24C23×C3211yescharacteristic
444C2×Q8—22no—
445C2×Q8—22no—
446C2×Q8—41no—
447C2×D4—22no—
448C2×D4—22no—
449C2×D4—22no—
450C2×D4—22no—
451C2×D4—22no—
452C2×D4—22no—
453C2×D4—41no—
454C2×D4—41no—
455C2×D4—41no—
456C22×C4—22no—
457C22×C4—22no—
458C22×C4—22no—
459C22×C4—22no—
460C22×C4—41no—
461C22×C4—41no—
462C22×C4C23×C3211yescharacteristic
463C22×C4C23×C3211yescharacteristic
464C22×C4C23×C3211yescharacteristic
465C22×C4C23×C3211yescharacteristic
466C22×C4C23×C3211yescharacteristic
467C22×C4C23×C3211yescharacteristic
468C22×C4C23×C3211yescharacteristic
469C22×C4C23×C3211yescharacteristic
470C22×C4C23×C3211yescharacteristic
471C22×C4C23×C3211yescharacteristic
472C22×C4C23×C3211yescharacteristic
473C22×C4C23×C3211yescharacteristic
474C4⋊C4—22no—
475C4⋊C4—22no—
476C4⋊C4—41no—
477C22⋊C4—22no—
478C22⋊C4—22no—
479C22⋊C4—22no—
480C22⋊C4—22no—
481C22⋊C4—22no—
482C22⋊C4—22no—
483C22⋊C4—22no—
484C22⋊C4—22no—
485C22⋊C4—41no—
486C22⋊C4—41no—
487C22⋊C4—41no—
488C22⋊C4—41no—
489C22⋊C4C32×D414yescomplemented
490C42—22no—
491C42—22no—
492C42—41no—
493C22×C3—28no—
494C22×C3—28no—
495C22×C3—28no—
496C22×C3—28no—
497C22×C3—28no—
498C22×C3—28no—
499C22×C3—44no—
500C22×C3—44no—
501C22×C3—44no—
502C22×C3—44no—
503C22×C3—44no—
504C22×C3—44no—
505C22×C3—44no—
506C22×C3—44no—
507C22×C3—44no—
508C22×C3—44no—
509C22×C3—44no—
510C22×C3—44no—
511C22×C3—44no—
512C22×C3—44no—
513C22×C3—44no—
514C22×C3C22×C3×D414yes—
515C22×C3C2×C3×#4114yes—
516C22×C3C2×C3×#4114yes—
517C22×C3C2×C3×#4114yes—
518C22×C3C2×C3×#4114yes—
519C22×C3C3×H(5,𝔽2)14yes—
520C22×C3C3×H(5,𝔽2)14yes—
521C3×C4—28no—
522C3×C4—28no—
523C3×C4—28no—
524C3×C4—28no—
525C3×C4—28no—
526C3×C4—44no—
527C3×C4—44no—
528C3×C4—44no—
529C3×C4—44no—
530C3×C4—44no—
531C3×C4—44no—
532C3×C4—44no—
533C32#245911yescharacteristic, direct product factor, Sylow
534C23—21no—
535C23—21no—
536C23—21no—
537C23—21no—
538C23—21no—
539C23—21no—
540C23—21no—
541C23—21no—
542C23—21no—
543C23—21no—
544C23—21no—
545C23—21no—
546C23—21no—
547C23—21no—
548C23—21no—
549C23—21no—
550C23—21no—
551C23—21no—
552C23—21no—
553C23C2×C32×D412yes—
554C23C32×#4112yes—
555C23C24×C3211yescharacteristic
556Q8—44no—
557D4—28no—
558D4—44no—
559D4—44no—
560C2×C4—21no—
561C2×C4—21no—
562C2×C4—21no—
563C2×C4—21no—
564C2×C4—21no—
565C2×C4—21no—
566C2×C4—21no—
567C2×C4—21no—
568C2×C4—21no—
569C2×C4—21no—
570C2×C4—21no—
571C2×C4—21no—
572C2×C4—21no—
573C2×C4—21no—
574C2×C4—21no—
575C2×C4—21no—
576C2×C4—21no—
577C2×C4—21no—
578C2×C4—21no—
579C2×C4—21no—
580C2×C4—21no—
581C2×C4—21no—
582C2×C4—21no—
583C2×C4—21no—
584C2×C4—21no—
585C2×C4—21no—
586C2×C4—21no—
587C2×C4—21no—
588C2×C4—21no—
589C2×C4—21no—
590C2×C4—21no—
591C2×C4—44no—
592C2×C4—44no—
593C2×C4C2×C32×D412yes—
594C2×C4C2×C32×D412yes—
595C2×C4C32×#4112yes—
596C2×C4C32×#4112yes—
597C2×C4C32×#4112yes—
598C2×C3—48no—
599C2×C3—48no—
600C2×C3—84no—
601C2×C3C3×#52514yes—
602C2×C3C3×#52914yes—
603C2×C3C3×#53814yes—
604C2×C3C3×#54614yes—
605C2×C3C3×#54614yes—
606C2×C3C3×#55514yes—
607C2×C3C3×#55914yes—
608C22—22no—
609C22—22no—
610C22—22no—
611C22—22no—
612C22—22no—
613C22—22no—
614C22—41no—
615C22—41no—
616C22—41no—
617C22—41no—
618C22—41no—
619C22—41no—
620C22—41no—
621C22—41no—
622C22—41no—
623C22—41no—
624C22—41no—
625C22—41no—
626C22—41no—
627C22—41no—
628C22—41no—
629C22C22×C32×D411yescharacteristic
630C22C2×C32×#4111yescharacteristic
631C22C2×C32×#4111yescharacteristic
632C22C2×C32×#4111yescharacteristic
633C22C2×C32×#4111yescharacteristic
634C22C32×H(5,𝔽2)11yescharacteristic
635C22C32×H(5,𝔽2)11yescharacteristic
636C4—22no—
637C4—22no—
638C4—22no—
639C4—22no—
640C4—22no—
641C4—41no—
642C4—41no—
643C4—41no—
644C4—41no—
645C4—41no—
646C4—41no—
647C4—41no—
648C3C3×#245914yesdirect product factor
649C2—42no—
650C2—42no—
651C2—81no—
652C2C32×#52511yescharacteristic
653C2C32×#52911yescharacteristic
654C2C32×#53811yescharacteristic
655C2C32×#54611yescharacteristic
656C2C32×#54611yescharacteristic
657C2C32×#55511yescharacteristic
658C2C32×#55911yescharacteristic
subgroupG/H
center, socleC23×C32C24
commutator, Frattini, cosocleC23C24×C32
prime radicalC32×#392C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23×C32 ◁ G

Complements

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

NH ≅ G/Ntype
1. C2×C32×#124C2semidirect
2. C2×C32×C4×D4C2semidirect
3. C32×#394C2semidirect
4. C32×#394C2semidirect
5. C32×#393C2semidirect
7. C32×#391C2semidirect
8. C32×#388C2semidirect
9. C32×#388C2semidirect
10. C32×#388C2semidirect
11. C32×#387C2semidirect
12. C32×#386C2semidirect
13. C32×#386C2semidirect
14. C32×#381C2semidirect
15. C32×C4×C22⋊C4C2semidirect
16. C3×#2459C3direct (N × H)
54. C2×C3×#124C2×C3semidirect
55. C2×C3×C4×D4C2×C3semidirect
56. C3×#394C2×C3semidirect
57. C3×#394C2×C3semidirect
58. C3×#393C2×C3semidirect
60. C3×#391C2×C3semidirect
61. C3×#388C2×C3semidirect
62. C3×#388C2×C3semidirect
63. C3×#388C2×C3semidirect
64. C3×#387C2×C3semidirect
65. C3×#386C2×C3semidirect
66. C3×#386C2×C3semidirect
67. C3×#381C2×C3semidirect
68. C3×C4×C22⋊C4C2×C3semidirect
117. C32×C22⋊C4D4semidirect
121. #2459C32direct (N × H)
223. C2×#124C2×C32semidirect
224. C2×C4×D4C2×C32semidirect
225. #394C2×C32semidirect
226. #394C2×C32semidirect
227. #393C2×C32semidirect
229. #391C2×C32semidirect
230. #388C2×C32semidirect
231. #388C2×C32semidirect
232. #388C2×C32semidirect
233. #387C2×C32semidirect
234. #386C2×C32semidirect
235. #386C2×C32semidirect
236. #381C2×C32semidirect
237. C4×C22⋊C4C2×C32semidirect
286. C3×C22⋊C4C3×D4semidirect
489. C22⋊C4C32×D4semidirect
533. C32#2459direct (N × H)
648. C3C3×#2459direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C32×#1242
C2×C32×C4×D42
C32×#3942
C32×#3932
C32×#3922
C32×#3912
C32×#3882
C32×#3872
C32×#3862
C32×#3812
C32×C4×C22⋊C42
C3×#24593