Finite Group Databasebeta

← C32×#2648 #11769697

Subgroups — C32×#2648 #11769697

Order 1152.

1452 conjugacy classes of subgroups.

The subgroup lattice has 636 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C32×#400C211yesmaximal, characteristic, complemented
2C32×#397C211yesmaximal, characteristic, complemented
3C32×#397C211yesmaximal, characteristic, complemented
4C32×#396C211yesmaximal, characteristic, complemented
5C32×#394C211yesmaximal, characteristic, complemented
6C32×#394C211yesmaximal, characteristic, complemented
7C32×#394C211yesmaximal, characteristic, complemented
8C32×#392C211yesmaximal, characteristic
9C32×#390C211yesmaximal, characteristic, complemented
10C32×#388C211yesmaximal, characteristic, complemented
11C32×#388C211yesmaximal, characteristic, complemented
12C32×#387C211yesmaximal, characteristic, complemented
13C32×#386C211yesmaximal, characteristic, complemented
14C32×#386C211yesmaximal, characteristic, complemented
15C32×C4×C22⋊C4C211yesmaximal, characteristic, complemented
16C3×#2648C314yesmaximal, direct product factor
17C22×C32×D4C2211yescharacteristic
18C22×C32×D4C2211yescharacteristic
19C22×C32×D4C2211yescharacteristic
20C23×C32×C4C2211yescharacteristic
21C2×C32×C4⋊C4C2211yescharacteristic
22C2×C32×C4⋊C4C2211yescharacteristic
23C2×C32×C4⋊C4C2211yescharacteristic
24C2×C32×C4⋊C4C2211yescharacteristic
25C2×C32×C4⋊C4C2211yescharacteristic
26C2×C32×C22⋊C4C2211yescharacteristic
27C2×C32×C22⋊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×C42C2211yescharacteristic
41C2×C32×C42C2211yescharacteristic
42C32×#95C2211yescharacteristic
43C32×#95C2211yescharacteristic
44C32×#95C2211yescharacteristic
45C32×#95C2211yescharacteristic
46C32×#95C2211yescharacteristic
47C32×#95C2211yescharacteristic
48C32×#95C2211yescharacteristic
49C32×#95C2211yescharacteristic
50C32×#95C2211yescharacteristic
51C32×#95C2211yescharacteristic
52C3×#400C2×C314yescomplemented
53C3×#397C2×C314yescomplemented
54C3×#397C2×C314yescomplemented
55C3×#396C2×C314yescomplemented
56C3×#394C2×C314yescomplemented
57C3×#394C2×C314yescomplemented
58C3×#394C2×C314yescomplemented
59C3×#392C2×C314yes—
60C3×#390C2×C314yescomplemented
61C3×#388C2×C314yescomplemented
62C3×#388C2×C314yescomplemented
63C3×#387C2×C314yescomplemented
64C3×#386C2×C314yescomplemented
65C3×#386C2×C314yescomplemented
66C3×C4×C22⋊C4C2×C314yescomplemented
67C24×C32C2311yescharacteristic
68C24×C32C2311yescharacteristic
69C24×C32C2311yescharacteristic
70C2×C32×D4—22no—
71C2×C32×D4—22no—
72C2×C32×D4—22no—
73C2×C32×D4—41no—
74C2×C32×D4—41no—
75C2×C32×D4—41no—
76C2×C32×D4—41no—
77C2×C32×D4—41no—
78C2×C32×D4—41no—
79C22×C32×C4—22no—
80C22×C32×C4—41no—
81C22×C32×C4—41no—
82C22×C32×C4C2311yescharacteristic
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
94C32×C4⋊C4—22no—
95C32×C4⋊C4—41no—
96C32×C4⋊C4—41no—
97C32×C4⋊C4—41no—
98C32×C4⋊C4—41no—
99C32×C22⋊C4—22no—
100C32×C22⋊C4—22no—
101C32×C22⋊C4—22no—
102C32×C22⋊C4—22no—
103C32×C22⋊C4—41no—
104C32×C22⋊C4—41no—
105C32×C22⋊C4—41no—
106C32×C22⋊C4—41no—
107C32×C22⋊C4—41no—
108C32×C22⋊C4—41no—
109C32×C22⋊C4—41no—
110C32×C22⋊C4—41no—
111C32×C22⋊C4—41no—
112C32×C22⋊C4—41no—
113C32×C42—41no—
114C32×C42—41no—
115#2648C3211yescharacteristic, direct product factor, Sylow
116C22×C3×D4C22×C314yes—
117C22×C3×D4C22×C314yes—
118C22×C3×D4C22×C314yes—
119C23×C3×C4C22×C314yes—
120C2×C3×C4⋊C4C22×C314yes—
121C2×C3×C4⋊C4C22×C314yes—
122C2×C3×C4⋊C4C22×C314yes—
123C2×C3×C4⋊C4C22×C314yes—
124C2×C3×C4⋊C4C22×C314yes—
125C2×C3×C22⋊C4C22×C314yes—
126C2×C3×C22⋊C4C22×C314yes—
127C2×C3×C22⋊C4C22×C314yes—
128C2×C3×C22⋊C4C22×C314yes—
129C2×C3×C22⋊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—
151C23×C32—21no—
152C23×C32—21no—
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—21no—
165C23×C32—21no—
166C23×C32—21no—
167C23×C32—21no—
168C23×C32—21no—
169C23×C32—21no—
170C23×C32—21no—
171C23×C32#4112yes—
172C23×C32C2411yescharacteristic
173C32×D4—44no—
174C32×D4—44no—
175C32×D4—44no—
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—21no—
206C2×C32×C4—21no—
207C2×C32×C4—21no—
208C2×C32×C4—21no—
209C2×C32×C4—21no—
210C2×C32×C4—44no—
211C2×C32×C4#4112yes—
212C2×C32×C4#4112yes—
213#400C2×C3211yescharacteristic, complemented
214#397C2×C3211yescharacteristic, complemented
215#397C2×C3211yescharacteristic, complemented
216#396C2×C3211yescharacteristic, complemented
217#394C2×C3211yescharacteristic, complemented
218#394C2×C3211yescharacteristic, complemented
219#394C2×C3211yescharacteristic, complemented
220#392C2×C3211yescharacteristic
221#390C2×C3211yescharacteristic, complemented
222#388C2×C3211yescharacteristic, complemented
223#388C2×C3211yescharacteristic, complemented
224#387C2×C3211yescharacteristic, complemented
225#386C2×C3211yescharacteristic, complemented
226#386C2×C3211yescharacteristic, complemented
227C4×C22⋊C4C2×C3211yescharacteristic, complemented
228C24×C3C23×C314yes—
229C24×C3C23×C314yes—
230C24×C3C23×C314yes—
231C2×C3×D4—28no—
232C2×C3×D4—28no—
233C2×C3×D4—28no—
234C2×C3×D4—44no—
235C2×C3×D4—44no—
236C2×C3×D4—44no—
237C2×C3×D4—44no—
238C2×C3×D4—44no—
239C2×C3×D4—44no—
240C22×C3×C4—28no—
241C22×C3×C4—44no—
242C22×C3×C4—44no—
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—
253C22×C3×C4C23×C314yes—
254C22×C3×C4C23×C314yes—
255C3×C4⋊C4—28no—
256C3×C4⋊C4—44no—
257C3×C4⋊C4—44no—
258C3×C4⋊C4—44no—
259C3×C4⋊C4—44no—
260C3×C22⋊C4—28no—
261C3×C22⋊C4—28no—
262C3×C22⋊C4—28no—
263C3×C22⋊C4—28no—
264C3×C22⋊C4—44no—
265C3×C22⋊C4—44no—
266C3×C22⋊C4—44no—
267C3×C22⋊C4—44no—
268C3×C22⋊C4—44no—
269C3×C22⋊C4—44no—
270C3×C22⋊C4—44no—
271C3×C22⋊C4—44no—
272C3×C22⋊C4—44no—
273C3×C22⋊C4—44no—
274C3×C42—44no—
275C3×C42—44no—
276C22×C32—22no—
277C22×C32—22no—
278C22×C32—22no—
279C22×C32—41no—
280C22×C32—41no—
281C22×C32—41no—
282C22×C32—41no—
283C22×C32—41no—
284C22×C32—41no—
285C22×C32—41no—
286C22×C32—41no—
287C22×C32—41no—
288C22×C32—41no—
289C22×C32—41no—
290C22×C32—41no—
291C22×C32—41no—
292C22×C32—41no—
293C22×C32—41no—
294C22×C32—41no—
295C22×C32—41no—
296C22×C32—41no—
297C22×C32C2×#4111yescharacteristic
298C22×C32C2×#4111yescharacteristic
299C22×C32C2×#4111yescharacteristic
300C22×C32H(5,𝔽2)11yescharacteristic
301C22×C32H(5,𝔽2)11yescharacteristic
302C22×C32H(5,𝔽2)11yescharacteristic
303C22×C32H(5,𝔽2)11yescharacteristic
304C32×C4—22no—
305C32×C4—22no—
306C32×C4—41no—
307C32×C4—41no—
308C32×C4—41no—
309C32×C4—41no—
310C32×C4—41no—
311C32×C4—41no—
312C32×C4—41no—
313C32×C4—41no—
314C32×C4—41no—
315C32×C4—41no—
316C22×D4C22×C3211yescharacteristic
317C22×D4C22×C3211yescharacteristic
318C22×D4C22×C3211yescharacteristic
319C23×C4C22×C3211yescharacteristic
320C2×C4⋊C4C22×C3211yescharacteristic
321C2×C4⋊C4C22×C3211yescharacteristic
322C2×C4⋊C4C22×C3211yescharacteristic
323C2×C4⋊C4C22×C3211yescharacteristic
324C2×C4⋊C4C22×C3211yescharacteristic
325C2×C22⋊C4C22×C3211yescharacteristic
326C2×C22⋊C4C22×C3211yescharacteristic
327C2×C22⋊C4C22×C3211yescharacteristic
328C2×C22⋊C4C22×C3211yescharacteristic
329C2×C22⋊C4C22×C3211yescharacteristic
330C2×C22⋊C4C22×C3211yescharacteristic
331C2×C22⋊C4C22×C3211yescharacteristic
332C2×C22⋊C4C22×C3211yescharacteristic
333C2×C22⋊C4C22×C3211yescharacteristic
334C2×C22⋊C4C22×C3211yescharacteristic
335C2×C22⋊C4C22×C3211yescharacteristic
336C2×C22⋊C4C22×C3211yescharacteristic
337C2×C22⋊C4C22×C3211yescharacteristic
338C2×C22⋊C4C22×C3211yescharacteristic
339C2×C42C22×C3211yescharacteristic
340C2×C42C22×C3211yescharacteristic
341#95C22×C3211yescharacteristic
342#95C22×C3211yescharacteristic
343#95C22×C3211yescharacteristic
344#95C22×C3211yescharacteristic
345#95C22×C3211yescharacteristic
346#95C22×C3211yescharacteristic
347#95C22×C3211yescharacteristic
348#95C22×C3211yescharacteristic
349#95C22×C3211yescharacteristic
350#95C22×C3211yescharacteristic
351C23×C3—24no—
352C23×C3—24no—
353C23×C3—24no—
354C23×C3—24no—
355C23×C3—24no—
356C23×C3—24no—
357C23×C3—24no—
358C23×C3—24no—
359C23×C3—24no—
360C23×C3—24no—
361C23×C3—24no—
362C23×C3—24no—
363C23×C3—24no—
364C23×C3—24no—
365C23×C3—24no—
366C23×C3—24no—
367C23×C3—24no—
368C23×C3—24no—
369C23×C3—24no—
370C23×C3—24no—
371C23×C3C3×#4118yes—
372C23×C3C24×C314yes—
373C3×D4—416no—
374C3×D4—416no—
375C3×D4—416no—
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—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—416no—
411C2×C3×C4C3×#4118yes—
412C2×C3×C4C3×#4118yes—
413C2×C32—42no—
414C2×C32—81no—
415C2×C32—81no—
416C2×C32#52911yescharacteristic
417C2×C32#53811yescharacteristic
418C2×C32#53811yescharacteristic
419C2×C32#53811yescharacteristic
420C2×C32#53811yescharacteristic
421C2×C32#54011yescharacteristic
422C2×C32#54011yescharacteristic
423C24C23×C3211yescharacteristic
424C24C23×C3211yescharacteristic
425C24C23×C3211yescharacteristic
426C2×D4—22no—
427C2×D4—22no—
428C2×D4—22no—
429C2×D4—41no—
430C2×D4—41no—
431C2×D4—41no—
432C2×D4—41no—
433C2×D4—41no—
434C2×D4—41no—
435C22×C4—22no—
436C22×C4—41no—
437C22×C4—41no—
438C22×C4C23×C3211yescharacteristic
439C22×C4C23×C3211yescharacteristic
440C22×C4C23×C3211yescharacteristic
441C22×C4C23×C3211yescharacteristic
442C22×C4C23×C3211yescharacteristic
443C22×C4C23×C3211yescharacteristic
444C22×C4C23×C3211yescharacteristic
445C22×C4C23×C3211yescharacteristic
446C22×C4C23×C3211yescharacteristic
447C22×C4C23×C3211yescharacteristic
448C22×C4C23×C3211yescharacteristic
449C22×C4C23×C3211yescharacteristic
450C4⋊C4—22no—
451C4⋊C4—41no—
452C4⋊C4—41no—
453C4⋊C4—41no—
454C4⋊C4—41no—
455C22⋊C4—22no—
456C22⋊C4—22no—
457C22⋊C4—22no—
458C22⋊C4—22no—
459C22⋊C4—41no—
460C22⋊C4—41no—
461C22⋊C4—41no—
462C22⋊C4—41no—
463C22⋊C4—41no—
464C22⋊C4—41no—
465C22⋊C4—41no—
466C22⋊C4—41no—
467C22⋊C4—41no—
468C22⋊C4—41no—
469C42—41no—
470C42—41no—
471C22×C3—28no—
472C22×C3—28no—
473C22×C3—28no—
474C22×C3—44no—
475C22×C3—44no—
476C22×C3—44no—
477C22×C3—44no—
478C22×C3—44no—
479C22×C3—44no—
480C22×C3—44no—
481C22×C3—44no—
482C22×C3—44no—
483C22×C3—44no—
484C22×C3—44no—
485C22×C3—44no—
486C22×C3—44no—
487C22×C3—44no—
488C22×C3—44no—
489C22×C3—44no—
490C22×C3—44no—
491C22×C3—44no—
492C22×C3C2×C3×#4114yes—
493C22×C3C2×C3×#4114yes—
494C22×C3C2×C3×#4114yes—
495C22×C3C3×H(5,𝔽2)14yes—
496C22×C3C3×H(5,𝔽2)14yes—
497C22×C3C3×H(5,𝔽2)14yes—
498C22×C3C3×H(5,𝔽2)14yes—
499C3×C4—28no—
500C3×C4—28no—
501C3×C4—44no—
502C3×C4—44no—
503C3×C4—44no—
504C3×C4—44no—
505C3×C4—44no—
506C3×C4—44no—
507C3×C4—44no—
508C3×C4—44no—
509C3×C4—44no—
510C3×C4—44no—
511C32#264811yescharacteristic, direct product factor, Sylow
512C23—21no—
513C23—21no—
514C23—21no—
515C23—21no—
516C23—21no—
517C23—21no—
518C23—21no—
519C23—21no—
520C23—21no—
521C23—21no—
522C23—21no—
523C23—21no—
524C23—21no—
525C23—21no—
526C23—21no—
527C23—21no—
528C23—21no—
529C23—21no—
530C23—21no—
531C23—21no—
532C23C32×#4112yes—
533C23C24×C3211yescharacteristic
534D4—44no—
535D4—44no—
536D4—44no—
537C2×C4—21no—
538C2×C4—21no—
539C2×C4—21no—
540C2×C4—21no—
541C2×C4—21no—
542C2×C4—21no—
543C2×C4—21no—
544C2×C4—21no—
545C2×C4—21no—
546C2×C4—21no—
547C2×C4—21no—
548C2×C4—21no—
549C2×C4—21no—
550C2×C4—21no—
551C2×C4—21no—
552C2×C4—21no—
553C2×C4—21no—
554C2×C4—21no—
555C2×C4—21no—
556C2×C4—21no—
557C2×C4—21no—
558C2×C4—21no—
559C2×C4—21no—
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—44no—
572C2×C4C32×#4112yes—
573C2×C4C32×#4112yes—
574C2×C3—48no—
575C2×C3—84no—
576C2×C3—84no—
577C2×C3C3×#52914yes—
578C2×C3C3×#53814yes—
579C2×C3C3×#53814yes—
580C2×C3C3×#53814yes—
581C2×C3C3×#53814yes—
582C2×C3C3×#54014yes—
583C2×C3C3×#54014yes—
584C22—22no—
585C22—22no—
586C22—22no—
587C22—41no—
588C22—41no—
589C22—41no—
590C22—41no—
591C22—41no—
592C22—41no—
593C22—41no—
594C22—41no—
595C22—41no—
596C22—41no—
597C22—41no—
598C22—41no—
599C22—41no—
600C22—41no—
601C22—41no—
602C22—41no—
603C22—41no—
604C22—41no—
605C22C2×C32×#4111yescharacteristic
606C22C2×C32×#4111yescharacteristic
607C22C2×C32×#4111yescharacteristic
608C22C32×H(5,𝔽2)11yescharacteristic
609C22C32×H(5,𝔽2)11yescharacteristic
610C22C32×H(5,𝔽2)11yescharacteristic
611C22C32×H(5,𝔽2)11yescharacteristic
612C4—22no—
613C4—22no—
614C4—41no—
615C4—41no—
616C4—41no—
617C4—41no—
618C4—41no—
619C4—41no—
620C4—41no—
621C4—41no—
622C4—41no—
623C4—41no—
624C3C3×#264814yesdirect product factor
625C2—42no—
626C2—81no—
627C2—81no—
628C2C32×#52911yescharacteristic
629C2C32×#53811yescharacteristic
630C2C32×#53811yescharacteristic
631C2C32×#53811yescharacteristic
632C2C32×#53811yescharacteristic
633C2C32×#54011yescharacteristic
634C2C32×#54011yescharacteristic
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. C32×#400C2semidirect
2. C32×#397C2semidirect
3. C32×#397C2semidirect
4. C32×#396C2semidirect
5. C32×#394C2semidirect
6. C32×#394C2semidirect
7. C32×#394C2semidirect
9. C32×#390C2semidirect
10. C32×#388C2semidirect
11. C32×#388C2semidirect
12. C32×#387C2semidirect
13. C32×#386C2semidirect
14. C32×#386C2semidirect
15. C32×C4×C22⋊C4C2semidirect
16. C3×#2648C3direct (N × H)
52. C3×#400C2×C3semidirect
53. C3×#397C2×C3semidirect
54. C3×#397C2×C3semidirect
55. C3×#396C2×C3semidirect
56. C3×#394C2×C3semidirect
57. C3×#394C2×C3semidirect
58. C3×#394C2×C3semidirect
60. C3×#390C2×C3semidirect
61. C3×#388C2×C3semidirect
62. C3×#388C2×C3semidirect
63. C3×#387C2×C3semidirect
64. C3×#386C2×C3semidirect
65. C3×#386C2×C3semidirect
66. C3×C4×C22⋊C4C2×C3semidirect
115. #2648C32direct (N × H)
213. #400C2×C32semidirect
214. #397C2×C32semidirect
215. #397C2×C32semidirect
216. #396C2×C32semidirect
217. #394C2×C32semidirect
218. #394C2×C32semidirect
219. #394C2×C32semidirect
221. #390C2×C32semidirect
222. #388C2×C32semidirect
223. #388C2×C32semidirect
224. #387C2×C32semidirect
225. #386C2×C32semidirect
226. #386C2×C32semidirect
227. C4×C22⋊C4C2×C32semidirect
511. C32#2648direct (N × H)
624. C3C3×#2648direct (N × H)

Maximal subgroups

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

subgroupindex
C32×#4002
C32×#3972
C32×#3962
C32×#3942
C32×#3922
C32×#3902
C32×#3882
C32×#3872
C32×#3862
C32×C4×C22⋊C42
C3×#26483