Finite Group Databasebeta

← C32×#2481 #11769530

Subgroups — C32×#2481 #11769530

Order 1152.

1638 conjugacy classes of subgroups.

The subgroup lattice has 603 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C32×#126C211yesmaximal, characteristic, complemented
2C22×C32×C4⋊C4C211yesmaximal, characteristic, complemented
3C32×#400C211yesmaximal, characteristic, complemented
4C32×#400C211yesmaximal, characteristic, complemented
5C32×#397C211yesmaximal, characteristic, complemented
6C32×#396C211yesmaximal, characteristic, complemented
7C32×#388C211yesmaximal, characteristic, complemented
8C32×#387C211yesmaximal, characteristic, complemented
9C32×#387C211yesmaximal, characteristic, complemented
10C32×#386C211yesmaximal, characteristic
11C32×#386C211yesmaximal, characteristic
12C32×#386C211yesmaximal, characteristic
13C32×#385C211yesmaximal, characteristic, complemented
14C32×#380C211yesmaximal, characteristic, complemented
15C32×C4×C22⋊C4C211yesmaximal, characteristic, complemented
16C3×#2481C314yesmaximal, direct product factor
17C22×C32×D4C2211yescharacteristic
18C23×C32×C4C2211yescharacteristic
19C23×C32×C4C2211yescharacteristic
20C23×C32×C4C2211yescharacteristic
21C32×#126—24no—
22C2×C32×C4⋊C4—24no—
23C2×C32×C4⋊C4C2211yescharacteristic
24C2×C32×C4⋊C4C2211yescharacteristic
25C2×C32×C4⋊C4C2211yescharacteristic
26C2×C32×C4⋊C4C2211yescharacteristic
27C2×C32×C4⋊C4C2211yescharacteristic
28C2×C32×C4⋊C4C2211yescharacteristic
29C2×C32×C4⋊C4C2211yescharacteristic
30C2×C32×C4⋊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×C42C2211yescharacteristic
41C2×C32×C42C2211yescharacteristic
42C32×#95C2211yescharacteristic
43C32×#95C2211yescharacteristic
44C32×#95C2211yescharacteristic
45C32×#95C2211yescharacteristic
46C32×#95C2211yescharacteristic
47C32×#95C2211yescharacteristic
48C32×#95C2211yescharacteristic
49C32×#95C2211yescharacteristic
50C32×#95C2211yescharacteristic
51C32×#95C2211yescharacteristic
52C32×#95C2211yescharacteristic
53C32×#95C2211yescharacteristic
54C2×C3×#126C2×C314yescomplemented
55C22×C3×C4⋊C4C2×C314yescomplemented
56C3×#400C2×C314yescomplemented
57C3×#400C2×C314yescomplemented
58C3×#397C2×C314yescomplemented
59C3×#396C2×C314yescomplemented
60C3×#388C2×C314yescomplemented
61C3×#387C2×C314yescomplemented
62C3×#387C2×C314yescomplemented
63C3×#386C2×C314yes—
64C3×#386C2×C314yes—
65C3×#386C2×C314yes—
66C3×#385C2×C314yescomplemented
67C3×#380C2×C314yescomplemented
68C3×C4×C22⋊C4C2×C314yescomplemented
69C24×C32C2311yescharacteristic
70C24×C32C2311yescharacteristic
71C2×C32×D4—22no—
72C2×C32×D4—22no—
73C2×C32×D4—22no—
74C22×C32×C4—22no—
75C22×C32×C4—22no—
76C22×C32×C4—22no—
77C22×C32×C4—22no—
78C22×C32×C4—22no—
79C22×C32×C4—22no—
80C22×C32×C4—22no—
81C22×C32×C4—41no—
82C22×C32×C4—41no—
83C22×C32×C4C2311yescharacteristic
84C22×C32×C4C2311yescharacteristic
85C22×C32×C4C2311yescharacteristic
86C22×C32×C4C2311yescharacteristic
87C22×C32×C4C2311yescharacteristic
88C22×C32×C4C2311yescharacteristic
89C22×C32×C4C2311yescharacteristic
90C22×C32×C4C2311yescharacteristic
91C22×C32×C4C2311yescharacteristic
92C22×C32×C4C2311yescharacteristic
93C22×C32×C4C2311yescharacteristic
94C22×C32×C4C2311yescharacteristic
95C22×C32×C4C2311yescharacteristic
96C32×C4⋊C4—22no—
97C32×C4⋊C4—22no—
98C32×C4⋊C4—22no—
99C32×C4⋊C4—22no—
100C32×C4⋊C4—22no—
101C32×C4⋊C4—22no—
102C32×C4⋊C4—41no—
103C32×C4⋊C4D414yescomplemented
104C32×C22⋊C4—22no—
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—41no—
112C32×C22⋊C4—41no—
113C32×C42—22no—
114C32×C42—41no—
115#2481C3211yescharacteristic, direct product factor, Sylow
116C22×C3×D4C22×C314yes—
117C23×C3×C4C22×C314yes—
118C23×C3×C4C22×C314yes—
119C23×C3×C4C22×C314yes—
120C3×#126—216no—
121C2×C3×C4⋊C4—216no—
122C2×C3×C4⋊C4C22×C314yes—
123C2×C3×C4⋊C4C22×C314yes—
124C2×C3×C4⋊C4C22×C314yes—
125C2×C3×C4⋊C4C22×C314yes—
126C2×C3×C4⋊C4C22×C314yes—
127C2×C3×C4⋊C4C22×C314yes—
128C2×C3×C4⋊C4C22×C314yes—
129C2×C3×C4⋊C4C22×C314yes—
130C2×C3×C22⋊C4C22×C314yes—
131C2×C3×C22⋊C4C22×C314yes—
132C2×C3×C22⋊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×C42C22×C314yes—
140C2×C3×C42C22×C314yes—
141C3×#95C22×C314yes—
142C3×#95C22×C314yes—
143C3×#95C22×C314yes—
144C3×#95C22×C314yes—
145C3×#95C22×C314yes—
146C3×#95C22×C314yes—
147C3×#95C22×C314yes—
148C3×#95C22×C314yes—
149C3×#95C22×C314yes—
150C3×#95C22×C314yes—
151C3×#95C22×C314yes—
152C3×#95C22×C314yes—
153C23×C32—21no—
154C23×C32—21no—
155C23×C32—21no—
156C23×C32—21no—
157C23×C32—21no—
158C23×C32—21no—
159C23×C32—21no—
160C23×C32—21no—
161C23×C32—21no—
162C23×C32—21no—
163C23×C32—21no—
164C23×C32#4112yes—
165C23×C32#4112yes—
166C23×C32#4112yes—
167C23×C32C2411yescharacteristic
168C32×D4—44no—
169C2×C32×C4—28no—
170C2×C32×C4—21no—
171C2×C32×C4—21no—
172C2×C32×C4—21no—
173C2×C32×C4—21no—
174C2×C32×C4—21no—
175C2×C32×C4—21no—
176C2×C32×C4—21no—
177C2×C32×C4—21no—
178C2×C32×C4—21no—
179C2×C32×C4—21no—
180C2×C32×C4—21no—
181C2×C32×C4—21no—
182C2×C32×C4—21no—
183C2×C32×C4—21no—
184C2×C32×C4—21no—
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—44no—
206C2×C32×C4—44no—
207C2×C32×C4C2×D412yes—
208C2×C32×C4C2×D412yes—
209C2×C32×C4C2×D412yes—
210C2×C32×C4#4112yes—
211C2×#126C2×C3211yescharacteristic, complemented
212C22×C4⋊C4C2×C3211yescharacteristic, complemented
213#400C2×C3211yescharacteristic, complemented
214#400C2×C3211yescharacteristic, complemented
215#397C2×C3211yescharacteristic, complemented
216#396C2×C3211yescharacteristic, complemented
217#388C2×C3211yescharacteristic, complemented
218#387C2×C3211yescharacteristic, complemented
219#387C2×C3211yescharacteristic, complemented
220#386C2×C3211yescharacteristic
221#386C2×C3211yescharacteristic
222#386C2×C3211yescharacteristic
223#385C2×C3211yescharacteristic, complemented
224#380C2×C3211yescharacteristic, complemented
225C4×C22⋊C4C2×C3211yescharacteristic, complemented
226C24×C3C23×C314yes—
227C24×C3C23×C314yes—
228C2×C3×D4—28no—
229C2×C3×D4—28no—
230C2×C3×D4—28no—
231C22×C3×C4—28no—
232C22×C3×C4—28no—
233C22×C3×C4—28no—
234C22×C3×C4—28no—
235C22×C3×C4—28no—
236C22×C3×C4—28no—
237C22×C3×C4—28no—
238C22×C3×C4—44no—
239C22×C3×C4—44no—
240C22×C3×C4C23×C314yes—
241C22×C3×C4C23×C314yes—
242C22×C3×C4C23×C314yes—
243C22×C3×C4C23×C314yes—
244C22×C3×C4C23×C314yes—
245C22×C3×C4C23×C314yes—
246C22×C3×C4C23×C314yes—
247C22×C3×C4C23×C314yes—
248C22×C3×C4C23×C314yes—
249C22×C3×C4C23×C314yes—
250C22×C3×C4C23×C314yes—
251C22×C3×C4C23×C314yes—
252C22×C3×C4C23×C314yes—
253C3×C4⋊C4—28no—
254C3×C4⋊C4—28no—
255C3×C4⋊C4—28no—
256C3×C4⋊C4—28no—
257C3×C4⋊C4—28no—
258C3×C4⋊C4—28no—
259C3×C4⋊C4—44no—
260C3×C4⋊C4C3×D4116yescomplemented
261C3×C22⋊C4—28no—
262C3×C22⋊C4—28no—
263C3×C22⋊C4—28no—
264C3×C22⋊C4—28no—
265C3×C22⋊C4—28no—
266C3×C22⋊C4—28no—
267C3×C22⋊C4—28no—
268C3×C22⋊C4—44no—
269C3×C22⋊C4—44no—
270C3×C42—28no—
271C3×C42—44no—
272C22×C32—22no—
273C22×C32—22no—
274C22×C32—22no—
275C22×C32—22no—
276C22×C32—22no—
277C22×C32—22no—
278C22×C32—41no—
279C22×C32—41no—
280C22×C32—41no—
281C22×C32—41no—
282C22×C32—41no—
283C22×C32—41no—
284C22×C32—41no—
285C22×C32#12614yescomplemented
286C22×C32C22×D411yescharacteristic
287C22×C32C2×#4111yescharacteristic
288C22×C32C2×#4111yescharacteristic
289C22×C32C2×#4111yescharacteristic
290C22×C32C2×#4111yescharacteristic
291C22×C32H(5,𝔽2)11yescharacteristic
292C22×C322−1+411yescharacteristic
293C32×C4—22no—
294C32×C4—22no—
295C32×C4—22no—
296C32×C4—22no—
297C32×C4—41no—
298C32×C4—41no—
299C32×C4—41no—
300C32×C4—41no—
301C32×C4—41no—
302C32×C4—41no—
303C32×C4—41no—
304C32×C4—41no—
305C32×C4—41no—
306C22×D4C22×C3211yescharacteristic
307C23×C4C22×C3211yescharacteristic
308C23×C4C22×C3211yescharacteristic
309C23×C4C22×C3211yescharacteristic
310#126—24no—
311C2×C4⋊C4—24no—
312C2×C4⋊C4C22×C3211yescharacteristic
313C2×C4⋊C4C22×C3211yescharacteristic
314C2×C4⋊C4C22×C3211yescharacteristic
315C2×C4⋊C4C22×C3211yescharacteristic
316C2×C4⋊C4C22×C3211yescharacteristic
317C2×C4⋊C4C22×C3211yescharacteristic
318C2×C4⋊C4C22×C3211yescharacteristic
319C2×C4⋊C4C22×C3211yescharacteristic
320C2×C22⋊C4C22×C3211yescharacteristic
321C2×C22⋊C4C22×C3211yescharacteristic
322C2×C22⋊C4C22×C3211yescharacteristic
323C2×C22⋊C4C22×C3211yescharacteristic
324C2×C22⋊C4C22×C3211yescharacteristic
325C2×C22⋊C4C22×C3211yescharacteristic
326C2×C22⋊C4C22×C3211yescharacteristic
327C2×C22⋊C4C22×C3211yescharacteristic
328C2×C22⋊C4C22×C3211yescharacteristic
329C2×C42C22×C3211yescharacteristic
330C2×C42C22×C3211yescharacteristic
331#95C22×C3211yescharacteristic
332#95C22×C3211yescharacteristic
333#95C22×C3211yescharacteristic
334#95C22×C3211yescharacteristic
335#95C22×C3211yescharacteristic
336#95C22×C3211yescharacteristic
337#95C22×C3211yescharacteristic
338#95C22×C3211yescharacteristic
339#95C22×C3211yescharacteristic
340#95C22×C3211yescharacteristic
341#95C22×C3211yescharacteristic
342#95C22×C3211yescharacteristic
343C23×C3—24no—
344C23×C3—24no—
345C23×C3—24no—
346C23×C3—24no—
347C23×C3—24no—
348C23×C3—24no—
349C23×C3—24no—
350C23×C3—24no—
351C23×C3—24no—
352C23×C3—24no—
353C23×C3—24no—
354C23×C3C3×#4118yes—
355C23×C3C3×#4118yes—
356C23×C3C3×#4118yes—
357C23×C3C24×C314yes—
358C3×D4—416no—
359C2×C3×C4—232no—
360C2×C3×C4—24no—
361C2×C3×C4—24no—
362C2×C3×C4—24no—
363C2×C3×C4—24no—
364C2×C3×C4—24no—
365C2×C3×C4—24no—
366C2×C3×C4—24no—
367C2×C3×C4—24no—
368C2×C3×C4—24no—
369C2×C3×C4—24no—
370C2×C3×C4—24no—
371C2×C3×C4—24no—
372C2×C3×C4—24no—
373C2×C3×C4—24no—
374C2×C3×C4—24no—
375C2×C3×C4—24no—
376C2×C3×C4—24no—
377C2×C3×C4—24no—
378C2×C3×C4—24no—
379C2×C3×C4—24no—
380C2×C3×C4—24no—
381C2×C3×C4—24no—
382C2×C3×C4—24no—
383C2×C3×C4—24no—
384C2×C3×C4—24no—
385C2×C3×C4—24no—
386C2×C3×C4—24no—
387C2×C3×C4—24no—
388C2×C3×C4—24no—
389C2×C3×C4—24no—
390C2×C3×C4—24no—
391C2×C3×C4—24no—
392C2×C3×C4—24no—
393C2×C3×C4—24no—
394C2×C3×C4—24no—
395C2×C3×C4—416no—
396C2×C3×C4—416no—
397C2×C3×C4C2×C3×D418yes—
398C2×C3×C4C2×C3×D418yes—
399C2×C3×C4C2×C3×D418yes—
400C2×C3×C4C3×#4118yes—
401C2×C32—24no—
402C2×C32—81no—
403C2×C32#52511yescharacteristic
404C2×C32C2×#12611yescharacteristic
405C2×C32#53911yescharacteristic
406C2×C32#54611yescharacteristic
407C2×C32#54811yescharacteristic
408C2×C32#55211yescharacteristic
409C2×C32#55311yescharacteristic
410C24C23×C3211yescharacteristic
411C24C23×C3211yescharacteristic
412C2×D4—22no—
413C2×D4—22no—
414C2×D4—22no—
415C22×C4—22no—
416C22×C4—22no—
417C22×C4—22no—
418C22×C4—22no—
419C22×C4—22no—
420C22×C4—22no—
421C22×C4—22no—
422C22×C4—41no—
423C22×C4—41no—
424C22×C4C23×C3211yescharacteristic
425C22×C4C23×C3211yescharacteristic
426C22×C4C23×C3211yescharacteristic
427C22×C4C23×C3211yescharacteristic
428C22×C4C23×C3211yescharacteristic
429C22×C4C23×C3211yescharacteristic
430C22×C4C23×C3211yescharacteristic
431C22×C4C23×C3211yescharacteristic
432C22×C4C23×C3211yescharacteristic
433C22×C4C23×C3211yescharacteristic
434C22×C4C23×C3211yescharacteristic
435C22×C4C23×C3211yescharacteristic
436C22×C4C23×C3211yescharacteristic
437C4⋊C4—22no—
438C4⋊C4—22no—
439C4⋊C4—22no—
440C4⋊C4—22no—
441C4⋊C4—22no—
442C4⋊C4—22no—
443C4⋊C4—41no—
444C4⋊C4C32×D414yescomplemented
445C22⋊C4—22no—
446C22⋊C4—22no—
447C22⋊C4—22no—
448C22⋊C4—22no—
449C22⋊C4—22no—
450C22⋊C4—22no—
451C22⋊C4—22no—
452C22⋊C4—41no—
453C22⋊C4—41no—
454C42—22no—
455C42—41no—
456C22×C3—28no—
457C22×C3—28no—
458C22×C3—28no—
459C22×C3—28no—
460C22×C3—28no—
461C22×C3—28no—
462C22×C3—44no—
463C22×C3—44no—
464C22×C3—44no—
465C22×C3—44no—
466C22×C3—44no—
467C22×C3—44no—
468C22×C3—44no—
469C22×C3C3×#126116yescomplemented
470C22×C3C22×C3×D414yes—
471C22×C3C2×C3×#4114yes—
472C22×C3C2×C3×#4114yes—
473C22×C3C2×C3×#4114yes—
474C22×C3C2×C3×#4114yes—
475C22×C3C3×H(5,𝔽2)14yes—
476C22×C3C3×2−1+414yes—
477C3×C4—28no—
478C3×C4—28no—
479C3×C4—28no—
480C3×C4—28no—
481C3×C4—44no—
482C3×C4—44no—
483C3×C4—44no—
484C3×C4—44no—
485C3×C4—44no—
486C3×C4—44no—
487C3×C4—44no—
488C3×C4—44no—
489C3×C4—44no—
490C32#248111yescharacteristic, direct product factor, Sylow
491C23—21no—
492C23—21no—
493C23—21no—
494C23—21no—
495C23—21no—
496C23—21no—
497C23—21no—
498C23—21no—
499C23—21no—
500C23—21no—
501C23—21no—
502C23C32×#4112yes—
503C23C32×#4112yes—
504C23C32×#4112yes—
505C23C24×C3211yescharacteristic
506D4—44no—
507C2×C4—28no—
508C2×C4—21no—
509C2×C4—21no—
510C2×C4—21no—
511C2×C4—21no—
512C2×C4—21no—
513C2×C4—21no—
514C2×C4—21no—
515C2×C4—21no—
516C2×C4—21no—
517C2×C4—21no—
518C2×C4—21no—
519C2×C4—21no—
520C2×C4—21no—
521C2×C4—21no—
522C2×C4—21no—
523C2×C4—21no—
524C2×C4—21no—
525C2×C4—21no—
526C2×C4—21no—
527C2×C4—21no—
528C2×C4—21no—
529C2×C4—21no—
530C2×C4—21no—
531C2×C4—21no—
532C2×C4—21no—
533C2×C4—21no—
534C2×C4—21no—
535C2×C4—21no—
536C2×C4—21no—
537C2×C4—21no—
538C2×C4—21no—
539C2×C4—21no—
540C2×C4—21no—
541C2×C4—21no—
542C2×C4—21no—
543C2×C4—44no—
544C2×C4—44no—
545C2×C4C2×C32×D412yes—
546C2×C4C2×C32×D412yes—
547C2×C4C2×C32×D412yes—
548C2×C4C32×#4112yes—
549C2×C3—216no—
550C2×C3—84no—
551C2×C3C3×#52514yes—
552C2×C3C2×C3×#12614yes—
553C2×C3C3×#53914yes—
554C2×C3C3×#54614yes—
555C2×C3C3×#54814yes—
556C2×C3C3×#55214yes—
557C2×C3C3×#55314yes—
558C22—22no—
559C22—22no—
560C22—22no—
561C22—22no—
562C22—22no—
563C22—22no—
564C22—41no—
565C22—41no—
566C22—41no—
567C22—41no—
568C22—41no—
569C22—41no—
570C22—41no—
571C22C32×#12614yescomplemented
572C22C22×C32×D411yescharacteristic
573C22C2×C32×#4111yescharacteristic
574C22C2×C32×#4111yescharacteristic
575C22C2×C32×#4111yescharacteristic
576C22C2×C32×#4111yescharacteristic
577C22C32×H(5,𝔽2)11yescharacteristic
578C22C32×2−1+411yescharacteristic
579C4—22no—
580C4—22no—
581C4—22no—
582C4—22no—
583C4—41no—
584C4—41no—
585C4—41no—
586C4—41no—
587C4—41no—
588C4—41no—
589C4—41no—
590C4—41no—
591C4—41no—
592C3C3×#248114yesdirect product factor
593C2—24no—
594C2—81no—
595C2C32×#52511yescharacteristic
596C2C2×C32×#12611yescharacteristic
597C2C32×#53911yescharacteristic
598C2C32×#54611yescharacteristic
599C2C32×#54811yescharacteristic
600C2C32×#55211yescharacteristic
601C2C32×#55311yescharacteristic
subgroupG/H
center, socleC23×C32C24
commutator, Frattini, cosocleC23C24×C32
prime radicalC22×C32×D4C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23×C32 ◁ G

Complements

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

NH ≅ G/Ntype
1. C2×C32×#126C2semidirect
2. C22×C32×C4⋊C4C2semidirect
3. C32×#400C2semidirect
4. C32×#400C2semidirect
5. C32×#397C2semidirect
6. C32×#396C2semidirect
7. C32×#388C2semidirect
8. C32×#387C2semidirect
9. C32×#387C2semidirect
13. C32×#385C2semidirect
14. C32×#380C2semidirect
15. C32×C4×C22⋊C4C2semidirect
16. C3×#2481C3direct (N × H)
54. C2×C3×#126C2×C3semidirect
55. C22×C3×C4⋊C4C2×C3semidirect
56. C3×#400C2×C3semidirect
57. C3×#400C2×C3semidirect
58. C3×#397C2×C3semidirect
59. C3×#396C2×C3semidirect
60. C3×#388C2×C3semidirect
61. C3×#387C2×C3semidirect
62. C3×#387C2×C3semidirect
66. C3×#385C2×C3semidirect
67. C3×#380C2×C3semidirect
68. C3×C4×C22⋊C4C2×C3semidirect
103. C32×C4⋊C4D4semidirect
115. #2481C32direct (N × H)
211. C2×#126C2×C32semidirect
212. C22×C4⋊C4C2×C32semidirect
213. #400C2×C32semidirect
214. #400C2×C32semidirect
215. #397C2×C32semidirect
216. #396C2×C32semidirect
217. #388C2×C32semidirect
218. #387C2×C32semidirect
219. #387C2×C32semidirect
223. #385C2×C32semidirect
224. #380C2×C32semidirect
225. C4×C22⋊C4C2×C32semidirect
260. C3×C4⋊C4C3×D4semidirect
285. C22×C32#126semidirect
444. C4⋊C4C32×D4semidirect
469. C22×C3C3×#126semidirect
490. C32#2481direct (N × H)
571. C22C32×#126semidirect
592. C3C3×#2481direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C32×#1262
C22×C32×C4⋊C42
C32×#4002
C32×#3972
C32×#3962
C32×#3882
C32×#3872
C32×#3862
C32×#3852
C32×#3802
C32×C4×C22⋊C42
C3×#24813