Finite Group Databasebeta

← C32×#2674 #11769723

Subgroups — C32×#2674 #11769723

Order 1152.

1686 conjugacy classes of subgroups.

The subgroup lattice has 621 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C32×C4⋊Q8C211yesmaximal, characteristic, complemented
2C2×C32×#124C211yesmaximal, characteristic
3C2×C32×#123C211yesmaximal, characteristic
4C2×C32×C22⋊Q8C211yesmaximal, characteristic, complemented
5C32×#399C211yesmaximal, characteristic, complemented
6C32×#397C211yesmaximal, characteristic, complemented
7C32×#396C211yesmaximal, characteristic, complemented
8C32×#395C211yesmaximal, characteristic, complemented
9C32×#394C211yesmaximal, characteristic
10C32×#393C211yesmaximal, characteristic, complemented
11C32×#389C211yesmaximal, characteristic, complemented
12C32×#388C211yesmaximal, characteristic, complemented
13C32×#388C211yesmaximal, characteristic, complemented
14C32×#387C211yesmaximal, characteristic, complemented
15C32×#385C211yesmaximal, characteristic, complemented
16C3×#2674C314yesmaximal, direct product factor
17C22×C32×Q8C2211yescharacteristic
18C22×C32×Q8C2211yescharacteristic
19C22×C32×D4C2211yescharacteristic
20C23×C32×C4C2211yescharacteristic
21C32×C4⋊Q8—24no—
22C32×#124—24no—
23C32×#123—24no—
24C32×C22⋊Q8—24no—
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×C4⋊C4C2211yescharacteristic
32C2×C32×C4⋊C4C2211yescharacteristic
33C2×C32×C4⋊C4C2211yescharacteristic
34C2×C32×C4⋊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×C22⋊C4C2211yescharacteristic
42C2×C32×C22⋊C4C2211yescharacteristic
43C2×C32×C22⋊C4C2211yescharacteristic
44C2×C32×C22⋊C4C2211yescharacteristic
45C2×C32×C22⋊C4C2211yescharacteristic
46C2×C32×C42C2211yescharacteristic
47C2×C32×C42C2211yescharacteristic
48C32×#95C2211yescharacteristic
49C32×#95C2211yescharacteristic
50C32×#95C2211yescharacteristic
51C32×#95C2211yescharacteristic
52C32×#95C2211yescharacteristic
53C32×#95C2211yescharacteristic
54C32×#95C2211yescharacteristic
55C32×#95C2211yescharacteristic
56C2×C3×C4⋊Q8C2×C314yescomplemented
57C2×C3×#124C2×C314yes—
58C2×C3×#123C2×C314yes—
59C2×C3×C22⋊Q8C2×C314yescomplemented
60C3×#399C2×C314yescomplemented
61C3×#397C2×C314yescomplemented
62C3×#396C2×C314yescomplemented
63C3×#395C2×C314yescomplemented
64C3×#394C2×C314yes—
65C3×#393C2×C314yescomplemented
66C3×#389C2×C314yescomplemented
67C3×#388C2×C314yescomplemented
68C3×#388C2×C314yescomplemented
69C3×#387C2×C314yescomplemented
70C3×#385C2×C314yescomplemented
71C24×C32C2311yescharacteristic
72C24×C32C2311yescharacteristic
73C2×C32×Q8—22no—
74C2×C32×Q8—22no—
75C2×C32×Q8—22no—
76C2×C32×Q8—22no—
77C2×C32×Q8—41no—
78C2×C32×Q8—41no—
79C2×C32×D4—22no—
80C2×C32×D4—22no—
81C2×C32×D4—41no—
82C22×C32×C4—22no—
83C22×C32×C4—22no—
84C22×C32×C4—41no—
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
96C22×C32×C4C2311yescharacteristic
97C22×C32×C4C2311yescharacteristic
98C32×C4⋊C4—22no—
99C32×C4⋊C4—22no—
100C32×C4⋊C4—22no—
101C32×C4⋊C4—22no—
102C32×C4⋊C4—22no—
103C32×C4⋊C4—22no—
104C32×C4⋊C4—22no—
105C32×C4⋊C4—22no—
106C32×C4⋊C4—41no—
107C32×C4⋊C4D414yes—
108C32×C22⋊C4—22no—
109C32×C22⋊C4—22no—
110C32×C22⋊C4—22no—
111C32×C22⋊C4—22no—
112C32×C22⋊C4—22no—
113C32×C22⋊C4—22no—
114C32×C22⋊C4—22no—
115C32×C22⋊C4—22no—
116C32×C22⋊C4—22no—
117C32×C22⋊C4—41no—
118C32×C22⋊C4D414yes—
119C32×C42—22no—
120C32×C42—22no—
121#2674C3211yescharacteristic, direct product factor, Sylow
122C22×C3×Q8C22×C314yes—
123C22×C3×Q8C22×C314yes—
124C22×C3×D4C22×C314yes—
125C23×C3×C4C22×C314yes—
126C3×C4⋊Q8—216no—
127C3×#124—216no—
128C3×#123—216no—
129C3×C22⋊Q8—216no—
130C2×C3×C4⋊C4C22×C314yes—
131C2×C3×C4⋊C4C22×C314yes—
132C2×C3×C4⋊C4C22×C314yes—
133C2×C3×C4⋊C4C22×C314yes—
134C2×C3×C4⋊C4C22×C314yes—
135C2×C3×C4⋊C4C22×C314yes—
136C2×C3×C4⋊C4C22×C314yes—
137C2×C3×C4⋊C4C22×C314yes—
138C2×C3×C4⋊C4C22×C314yes—
139C2×C3×C4⋊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×C22⋊C4C22×C314yes—
147C2×C3×C22⋊C4C22×C314yes—
148C2×C3×C22⋊C4C22×C314yes—
149C2×C3×C22⋊C4C22×C314yes—
150C2×C3×C22⋊C4C22×C314yes—
151C2×C3×C42C22×C314yes—
152C2×C3×C42C22×C314yes—
153C3×#95C22×C314yes—
154C3×#95C22×C314yes—
155C3×#95C22×C314yes—
156C3×#95C22×C314yes—
157C3×#95C22×C314yes—
158C3×#95C22×C314yes—
159C3×#95C22×C314yes—
160C3×#95C22×C314yes—
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×C32C2×D412yes—
175C23×C32C2411yescharacteristic
176C32×Q8—44no—
177C32×Q8—44no—
178C32×D4—44no—
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—21no—
211C2×C32×C4—21no—
212C2×C32×C4—44no—
213C2×C32×C4C2×D412yes—
214C2×C32×C4C2×D412yes—
215C2×C32×C4C2×D412yes—
216C2×C32×C4C2×D412yes—
217C2×C32×C4C2×D412yes—
218C2×C32×C4#4112yes—
219C2×C4⋊Q8C2×C3211yescharacteristic, complemented
220C2×#124C2×C3211yescharacteristic
221C2×#123C2×C3211yescharacteristic
222C2×C22⋊Q8C2×C3211yescharacteristic, complemented
223#399C2×C3211yescharacteristic, complemented
224#397C2×C3211yescharacteristic, complemented
225#396C2×C3211yescharacteristic, complemented
226#395C2×C3211yescharacteristic, complemented
227#394C2×C3211yescharacteristic
228#393C2×C3211yescharacteristic, complemented
229#389C2×C3211yescharacteristic, complemented
230#388C2×C3211yescharacteristic, complemented
231#388C2×C3211yescharacteristic, complemented
232#387C2×C3211yescharacteristic, complemented
233#385C2×C3211yescharacteristic, complemented
234C24×C3C23×C314yes—
235C24×C3C23×C314yes—
236C2×C3×Q8—28no—
237C2×C3×Q8—28no—
238C2×C3×Q8—28no—
239C2×C3×Q8—28no—
240C2×C3×Q8—44no—
241C2×C3×Q8—44no—
242C2×C3×D4—28no—
243C2×C3×D4—28no—
244C2×C3×D4—44no—
245C22×C3×C4—28no—
246C22×C3×C4—28no—
247C22×C3×C4—44no—
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—
255C22×C3×C4C23×C314yes—
256C22×C3×C4C23×C314yes—
257C22×C3×C4C23×C314yes—
258C22×C3×C4C23×C314yes—
259C22×C3×C4C23×C314yes—
260C22×C3×C4C23×C314yes—
261C3×C4⋊C4—28no—
262C3×C4⋊C4—28no—
263C3×C4⋊C4—28no—
264C3×C4⋊C4—28no—
265C3×C4⋊C4—28no—
266C3×C4⋊C4—28no—
267C3×C4⋊C4—28no—
268C3×C4⋊C4—28no—
269C3×C4⋊C4—44no—
270C3×C4⋊C4C3×D4116yes—
271C3×C22⋊C4—28no—
272C3×C22⋊C4—28no—
273C3×C22⋊C4—28no—
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—44no—
281C3×C22⋊C4C3×D4116yes—
282C3×C42—28no—
283C3×C42—28no—
284C22×C32—22no—
285C22×C32—22no—
286C22×C32—22no—
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×C32—41no—
298C22×C32C22×D411yescharacteristic
299C22×C32C22×D411yescharacteristic
300C22×C32C2×#4111yescharacteristic
301C22×C32H(5,𝔽2)11yescharacteristic
302C22×C322−1+411yescharacteristic
303C22×C322−1+411yescharacteristic
304C22×C322−1+411yescharacteristic
305C32×C4—22no—
306C32×C4—22no—
307C32×C4—22no—
308C32×C4—22no—
309C32×C4—22no—
310C32×C4—22no—
311C32×C4—41no—
312C32×C4—41no—
313C32×C4—41no—
314C32×C4—41no—
315C32×C4—41no—
316C32×C4—41no—
317C32×C4—41no—
318C22×Q8C22×C3211yescharacteristic
319C22×Q8C22×C3211yescharacteristic
320C22×D4C22×C3211yescharacteristic
321C23×C4C22×C3211yescharacteristic
322C4⋊Q8—24no—
323#124—24no—
324#123—24no—
325C22⋊Q8—24no—
326C2×C4⋊C4C22×C3211yescharacteristic
327C2×C4⋊C4C22×C3211yescharacteristic
328C2×C4⋊C4C22×C3211yescharacteristic
329C2×C4⋊C4C22×C3211yescharacteristic
330C2×C4⋊C4C22×C3211yescharacteristic
331C2×C4⋊C4C22×C3211yescharacteristic
332C2×C4⋊C4C22×C3211yescharacteristic
333C2×C4⋊C4C22×C3211yescharacteristic
334C2×C4⋊C4C22×C3211yescharacteristic
335C2×C4⋊C4C22×C3211yescharacteristic
336C2×C22⋊C4C22×C3211yescharacteristic
337C2×C22⋊C4C22×C3211yescharacteristic
338C2×C22⋊C4C22×C3211yescharacteristic
339C2×C22⋊C4C22×C3211yescharacteristic
340C2×C22⋊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×C42C22×C3211yescharacteristic
348C2×C42C22×C3211yescharacteristic
349#95C22×C3211yescharacteristic
350#95C22×C3211yescharacteristic
351#95C22×C3211yescharacteristic
352#95C22×C3211yescharacteristic
353#95C22×C3211yescharacteristic
354#95C22×C3211yescharacteristic
355#95C22×C3211yescharacteristic
356#95C22×C3211yescharacteristic
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×C3C2×C3×D418yes—
371C23×C3C24×C314yes—
372C3×Q8—416no—
373C3×Q8—416no—
374C3×D4—416no—
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—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—416no—
409C2×C3×C4C2×C3×D418yes—
410C2×C3×C4C2×C3×D418yes—
411C2×C3×C4C2×C3×D418yes—
412C2×C3×C4C2×C3×D418yes—
413C2×C3×C4C2×C3×D418yes—
414C2×C3×C4C3×#4118yes—
415C2×C32—42no—
416C2×C32—81no—
417C2×C32#53611yescharacteristic
418C2×C32#53611yescharacteristic
419C2×C32#54211yescharacteristic
420C2×C32D4211yescharacteristic
421C2×C32#54711yescharacteristic
422C2×C32#54811yescharacteristic
423C2×C32#56311yescharacteristic
424C24C23×C3211yescharacteristic
425C24C23×C3211yescharacteristic
426C2×Q8—22no—
427C2×Q8—22no—
428C2×Q8—22no—
429C2×Q8—22no—
430C2×Q8—41no—
431C2×Q8—41no—
432C2×D4—22no—
433C2×D4—22no—
434C2×D4—41no—
435C22×C4—22no—
436C22×C4—22no—
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
450C22×C4C23×C3211yescharacteristic
451C4⋊C4—22no—
452C4⋊C4—22no—
453C4⋊C4—22no—
454C4⋊C4—22no—
455C4⋊C4—22no—
456C4⋊C4—22no—
457C4⋊C4—22no—
458C4⋊C4—22no—
459C4⋊C4—41no—
460C4⋊C4C32×D414yes—
461C22⋊C4—22no—
462C22⋊C4—22no—
463C22⋊C4—22no—
464C22⋊C4—22no—
465C22⋊C4—22no—
466C22⋊C4—22no—
467C22⋊C4—22no—
468C22⋊C4—22no—
469C22⋊C4—22no—
470C22⋊C4—41no—
471C22⋊C4C32×D414yes—
472C42—22no—
473C42—22no—
474C22×C3—28no—
475C22×C3—28no—
476C22×C3—28no—
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×C3C22×C3×D414yes—
489C22×C3C22×C3×D414yes—
490C22×C3C2×C3×#4114yes—
491C22×C3C3×H(5,𝔽2)14yes—
492C22×C3C3×2−1+414yes—
493C22×C3C3×2−1+414yes—
494C22×C3C3×2−1+414yes—
495C3×C4—28no—
496C3×C4—28no—
497C3×C4—28no—
498C3×C4—28no—
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—
508C32#267411yescharacteristic, direct product factor, Sylow
509C23—21no—
510C23—21no—
511C23—21no—
512C23—21no—
513C23—21no—
514C23—21no—
515C23—21no—
516C23—21no—
517C23—21no—
518C23—21no—
519C23—21no—
520C23—21no—
521C23—21no—
522C23C2×C32×D412yes—
523C23C24×C3211yescharacteristic
524Q8—44no—
525Q8—44no—
526D4—44no—
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—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—44no—
561C2×C4C2×C32×D412yes—
562C2×C4C2×C32×D412yes—
563C2×C4C2×C32×D412yes—
564C2×C4C2×C32×D412yes—
565C2×C4C2×C32×D412yes—
566C2×C4C32×#4112yes—
567C2×C3—48no—
568C2×C3—84no—
569C2×C3C3×#53614yes—
570C2×C3C3×#53614yes—
571C2×C3C3×#54214yes—
572C2×C3C3×D4214yes—
573C2×C3C3×#54714yes—
574C2×C3C3×#54814yes—
575C2×C3C3×#56314yes—
576C22—22no—
577C22—22no—
578C22—22no—
579C22—41no—
580C22—41no—
581C22—41no—
582C22—41no—
583C22—41no—
584C22—41no—
585C22—41no—
586C22—41no—
587C22—41no—
588C22—41no—
589C22—41no—
590C22C22×C32×D411yescharacteristic
591C22C22×C32×D411yescharacteristic
592C22C2×C32×#4111yescharacteristic
593C22C32×H(5,𝔽2)11yescharacteristic
594C22C32×2−1+411yescharacteristic
595C22C32×2−1+411yescharacteristic
596C22C32×2−1+411yescharacteristic
597C4—22no—
598C4—22no—
599C4—22no—
600C4—22no—
601C4—22no—
602C4—22no—
603C4—41no—
604C4—41no—
605C4—41no—
606C4—41no—
607C4—41no—
608C4—41no—
609C4—41no—
610C3C3×#267414yesdirect product factor
611C2—42no—
612C2—81no—
613C2C32×#53611yescharacteristic
614C2C32×#53611yescharacteristic
615C2C32×#54211yescharacteristic
616C2C32×D4211yescharacteristic
617C2C32×#54711yescharacteristic
618C2C32×#54811yescharacteristic
619C2C32×#56311yescharacteristic
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×C4⋊Q8C2semidirect
4. C2×C32×C22⋊Q8C2semidirect
5. C32×#399C2semidirect
6. C32×#397C2semidirect
7. C32×#396C2semidirect
8. C32×#395C2semidirect
10. C32×#393C2semidirect
11. C32×#389C2semidirect
12. C32×#388C2semidirect
13. C32×#388C2semidirect
14. C32×#387C2semidirect
15. C32×#385C2semidirect
16. C3×#2674C3direct (N × H)
56. C2×C3×C4⋊Q8C2×C3semidirect
59. C2×C3×C22⋊Q8C2×C3semidirect
60. C3×#399C2×C3semidirect
61. C3×#397C2×C3semidirect
62. C3×#396C2×C3semidirect
63. C3×#395C2×C3semidirect
65. C3×#393C2×C3semidirect
66. C3×#389C2×C3semidirect
67. C3×#388C2×C3semidirect
68. C3×#388C2×C3semidirect
69. C3×#387C2×C3semidirect
70. C3×#385C2×C3semidirect
121. #2674C32direct (N × H)
219. C2×C4⋊Q8C2×C32semidirect
222. C2×C22⋊Q8C2×C32semidirect
223. #399C2×C32semidirect
224. #397C2×C32semidirect
225. #396C2×C32semidirect
226. #395C2×C32semidirect
228. #393C2×C32semidirect
229. #389C2×C32semidirect
230. #388C2×C32semidirect
231. #388C2×C32semidirect
232. #387C2×C32semidirect
233. #385C2×C32semidirect
508. C32#2674direct (N × H)
610. C3C3×#2674direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C32×C4⋊Q82
C2×C32×#1242
C2×C32×#1232
C2×C32×C22⋊Q82
C32×#3992
C32×#3972
C32×#3962
C32×#3952
C32×#3942
C32×#3932
C32×#3892
C32×#3882
C32×#3872
C32×#3852
C3×#26743