Finite Group Databasebeta

← C32×#2692 #11769741

Subgroups — C32×#2692 #11769741

Order 1152.

1608 conjugacy classes of subgroups.

The subgroup lattice has 618 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C32×C22⋊Q8C211yesmaximal, characteristic, complemented
2C2×C32×C22⋊Q8C211yesmaximal, characteristic, complemented
3C32×#399C211yesmaximal, characteristic, complemented
4C32×#398C211yesmaximal, characteristic, complemented
5C32×#396C211yesmaximal, characteristic, complemented
6C32×#395C211yesmaximal, characteristic, complemented
7C32×#393C211yesmaximal, characteristic, complemented
8C32×#393C211yesmaximal, characteristic, complemented
9C32×#391C211yesmaximal, characteristic, complemented
10C32×#390C211yesmaximal, characteristic
11C32×#387C211yesmaximal, characteristic, complemented
12C32×#386C211yesmaximal, characteristic
13C32×#386C211yesmaximal, characteristic
14C32×#385C211yesmaximal, characteristic, complemented
15C32×#380C211yesmaximal, characteristic, complemented
16C3×#2692C314yesmaximal, direct product factor
17C22×C32×Q8C2211yescharacteristic
18C22×C32×Q8C2211yescharacteristic
19C22×C32×D4C2211yescharacteristic
20C23×C32×C4C2211yescharacteristic
21C23×C32×C4C2211yescharacteristic
22C32×C22⋊Q8—24no—
23C32×C22⋊Q8—24no—
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×C4⋊C4C2211yescharacteristic
32C2×C32×C4⋊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×C22⋊C4C2211yescharacteristic
42C2×C32×C22⋊C4C2211yescharacteristic
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×C22⋊Q8C2×C314yescomplemented
55C2×C3×C22⋊Q8C2×C314yescomplemented
56C3×#399C2×C314yescomplemented
57C3×#398C2×C314yescomplemented
58C3×#396C2×C314yescomplemented
59C3×#395C2×C314yescomplemented
60C3×#393C2×C314yescomplemented
61C3×#393C2×C314yescomplemented
62C3×#391C2×C314yescomplemented
63C3×#390C2×C314yes—
64C3×#387C2×C314yescomplemented
65C3×#386C2×C314yes—
66C3×#386C2×C314yes—
67C3×#385C2×C314yescomplemented
68C3×#380C2×C314yescomplemented
69C24×C32C2311yescharacteristic
70C24×C32C2311yescharacteristic
71C2×C32×Q8—22no—
72C2×C32×Q8—22no—
73C2×C32×Q8—22no—
74C2×C32×Q8—41no—
75C2×C32×Q8—41no—
76C2×C32×Q8—41no—
77C2×C32×D4—41no—
78C2×C32×D4—41no—
79C2×C32×D4Q814yescomplemented
80C22×C32×C4—22no—
81C22×C32×C4—22no—
82C22×C32×C4—22no—
83C22×C32×C4—41no—
84C22×C32×C4—41no—
85C22×C32×C4—41no—
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
98C22×C32×C4C2311yescharacteristic
99C32×C4⋊C4—22no—
100C32×C4⋊C4—22no—
101C32×C4⋊C4—22no—
102C32×C4⋊C4—22no—
103C32×C4⋊C4—41no—
104C32×C4⋊C4—41no—
105C32×C4⋊C4—41no—
106C32×C4⋊C4—41no—
107C32×C4⋊C4D414yescomplemented
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⋊C4—41no—
118C32×C42—41no—
119#2692C3211yescharacteristic, direct product factor, Sylow
120C22×C3×Q8C22×C314yes—
121C22×C3×Q8C22×C314yes—
122C22×C3×D4C22×C314yes—
123C23×C3×C4C22×C314yes—
124C23×C3×C4C22×C314yes—
125C3×C22⋊Q8—216no—
126C3×C22⋊Q8—216no—
127C2×C3×C4⋊C4C22×C314yes—
128C2×C3×C4⋊C4C22×C314yes—
129C2×C3×C4⋊C4C22×C314yes—
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×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—
147C3×#95C22×C314yes—
148C3×#95C22×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—
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×C32C2×Q812yes—
170C23×C32C2×Q812yes—
171C23×C32C2411yescharacteristic
172C32×Q8—44no—
173C32×Q8—44no—
174C32×D4—44no—
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—21no—
206C2×C32×C4—21no—
207C2×C32×C4—21no—
208C2×C32×C4—21no—
209C2×C32×C4—44no—
210C2×C32×C4—44no—
211C2×C32×C4C2×D412yes—
212C2×C32×C4C2×D412yes—
213C2×C32×C4C2×D412yes—
214C2×C32×C4C2×Q812yes—
215C2×C32×C4#4112yes—
216C2×C22⋊Q8C2×C3211yescharacteristic, complemented
217C2×C22⋊Q8C2×C3211yescharacteristic, complemented
218#399C2×C3211yescharacteristic, complemented
219#398C2×C3211yescharacteristic, complemented
220#396C2×C3211yescharacteristic, complemented
221#395C2×C3211yescharacteristic, complemented
222#393C2×C3211yescharacteristic, complemented
223#393C2×C3211yescharacteristic, complemented
224#391C2×C3211yescharacteristic, complemented
225#390C2×C3211yescharacteristic
226#387C2×C3211yescharacteristic, complemented
227#386C2×C3211yescharacteristic
228#386C2×C3211yescharacteristic
229#385C2×C3211yescharacteristic, complemented
230#380C2×C3211yescharacteristic, complemented
231C24×C3C23×C314yes—
232C24×C3C23×C314yes—
233C2×C3×Q8—28no—
234C2×C3×Q8—28no—
235C2×C3×Q8—28no—
236C2×C3×Q8—44no—
237C2×C3×Q8—44no—
238C2×C3×Q8—44no—
239C2×C3×D4—44no—
240C2×C3×D4—44no—
241C2×C3×D4C3×Q8116yescomplemented
242C22×C3×C4—28no—
243C22×C3×C4—28no—
244C22×C3×C4—28no—
245C22×C3×C4—44no—
246C22×C3×C4—44no—
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—44no—
266C3×C4⋊C4—44no—
267C3×C4⋊C4—44no—
268C3×C4⋊C4—44no—
269C3×C4⋊C4C3×D4116yescomplemented
270C3×C22⋊C4—28no—
271C3×C22⋊C4—28no—
272C3×C22⋊C4—28no—
273C3×C22⋊C4—28no—
274C3×C22⋊C4—28no—
275C3×C22⋊C4—44no—
276C3×C22⋊C4—44no—
277C3×C22⋊C4—44no—
278C3×C22⋊C4—44no—
279C3×C22⋊C4—44no—
280C3×C42—44no—
281C22×C32—22no—
282C22×C32—22no—
283C22×C32—22no—
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×C32C22×D411yescharacteristic
296C22×C32C22×Q811yescharacteristic
297C22×C32C2×#4111yescharacteristic
298C22×C32H(5,𝔽2)11yescharacteristic
299C22×C32H(5,𝔽2)11yescharacteristic
300C22×C32H(5,𝔽2)11yescharacteristic
301C22×C322−1+411yescharacteristic
302C32×C4—22no—
303C32×C4—22no—
304C32×C4—22no—
305C32×C4—22no—
306C32×C4—22no—
307C32×C4—41no—
308C32×C4—41no—
309C32×C4—41no—
310C32×C4—41no—
311C32×C4—41no—
312C32×C4—41no—
313C32×C4—41no—
314C32×C4—41no—
315C22×Q8C22×C3211yescharacteristic
316C22×Q8C22×C3211yescharacteristic
317C22×D4C22×C3211yescharacteristic
318C23×C4C22×C3211yescharacteristic
319C23×C4C22×C3211yescharacteristic
320C22⋊Q8—24no—
321C22⋊Q8—24no—
322C2×C4⋊C4C22×C3211yescharacteristic
323C2×C4⋊C4C22×C3211yescharacteristic
324C2×C4⋊C4C22×C3211yescharacteristic
325C2×C4⋊C4C22×C3211yescharacteristic
326C2×C4⋊C4C22×C3211yescharacteristic
327C2×C4⋊C4C22×C3211yescharacteristic
328C2×C4⋊C4C22×C3211yescharacteristic
329C2×C4⋊C4C22×C3211yescharacteristic
330C2×C4⋊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×C22⋊C4C22×C3211yescharacteristic
340C2×C22⋊C4C22×C3211yescharacteristic
341C2×C42C22×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
351#95C22×C3211yescharacteristic
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×C3C2×C3×Q818yes—
365C23×C3C2×C3×Q818yes—
366C23×C3C24×C314yes—
367C3×Q8—416no—
368C3×Q8—416no—
369C3×D4—416no—
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—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—416no—
405C2×C3×C4—416no—
406C2×C3×C4C2×C3×D418yes—
407C2×C3×C4C2×C3×D418yes—
408C2×C3×C4C2×C3×D418yes—
409C2×C3×C4C2×C3×Q818yes—
410C2×C3×C4C3×#4118yes—
411C2×C32—42no—
412C2×C32—42no—
413C2×C32#53511yescharacteristic
414C2×C32#54211yescharacteristic
415C2×C32#54311yescharacteristic
416C2×C32#54611yescharacteristic
417C2×C32D4×Q811yescharacteristic
418C2×C32#55411yescharacteristic
419C2×C32#56211yescharacteristic
420C24C23×C3211yescharacteristic
421C24C23×C3211yescharacteristic
422C2×Q8—22no—
423C2×Q8—22no—
424C2×Q8—22no—
425C2×Q8—41no—
426C2×Q8—41no—
427C2×Q8—41no—
428C2×D4—41no—
429C2×D4—41no—
430C2×D4C32×Q814yescomplemented
431C22×C4—22no—
432C22×C4—22no—
433C22×C4—22no—
434C22×C4—41no—
435C22×C4—41no—
436C22×C4—41no—
437C22×C4C23×C3211yescharacteristic
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—22no—
452C4⋊C4—22no—
453C4⋊C4—22no—
454C4⋊C4—41no—
455C4⋊C4—41no—
456C4⋊C4—41no—
457C4⋊C4—41no—
458C4⋊C4C32×D414yescomplemented
459C22⋊C4—22no—
460C22⋊C4—22no—
461C22⋊C4—22no—
462C22⋊C4—22no—
463C22⋊C4—22no—
464C22⋊C4—41no—
465C22⋊C4—41no—
466C22⋊C4—41no—
467C22⋊C4—41no—
468C22⋊C4—41no—
469C42—41no—
470C22×C3—28no—
471C22×C3—28no—
472C22×C3—28no—
473C22×C3—28no—
474C22×C3—28no—
475C22×C3—28no—
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×C3C22×C3×D414yes—
485C22×C3C22×C3×Q814yes—
486C22×C3C2×C3×#4114yes—
487C22×C3C3×H(5,𝔽2)14yes—
488C22×C3C3×H(5,𝔽2)14yes—
489C22×C3C3×H(5,𝔽2)14yes—
490C22×C3C3×2−1+414yes—
491C3×C4—28no—
492C3×C4—28no—
493C3×C4—28no—
494C3×C4—28no—
495C3×C4—28no—
496C3×C4—44no—
497C3×C4—44no—
498C3×C4—44no—
499C3×C4—44no—
500C3×C4—44no—
501C3×C4—44no—
502C3×C4—44no—
503C3×C4—44no—
504C32#269211yescharacteristic, direct product factor, Sylow
505C23—21no—
506C23—21no—
507C23—21no—
508C23—21no—
509C23—21no—
510C23—21no—
511C23—21no—
512C23—21no—
513C23—21no—
514C23—21no—
515C23—21no—
516C23—21no—
517C23C2×C32×Q812yes—
518C23C2×C32×Q812yes—
519C23C24×C3211yescharacteristic
520Q8—44no—
521Q8—44no—
522D4—44no—
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—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—44no—
558C2×C4—44no—
559C2×C4C2×C32×D412yes—
560C2×C4C2×C32×D412yes—
561C2×C4C2×C32×D412yes—
562C2×C4C2×C32×Q812yes—
563C2×C4C32×#4112yes—
564C2×C3—48no—
565C2×C3—48no—
566C2×C3C3×#53514yes—
567C2×C3C3×#54214yes—
568C2×C3C3×#54314yes—
569C2×C3C3×#54614yes—
570C2×C3C3×D4×Q814yes—
571C2×C3C3×#55414yes—
572C2×C3C3×#56214yes—
573C22—22no—
574C22—22no—
575C22—22no—
576C22—22no—
577C22—22no—
578C22—22no—
579C22—41no—
580C22—41no—
581C22—41no—
582C22—41no—
583C22—41no—
584C22—41no—
585C22—41no—
586C22—41no—
587C22C22×C32×D411yescharacteristic
588C22C22×C32×Q811yescharacteristic
589C22C2×C32×#4111yescharacteristic
590C22C32×H(5,𝔽2)11yescharacteristic
591C22C32×H(5,𝔽2)11yescharacteristic
592C22C32×H(5,𝔽2)11yescharacteristic
593C22C32×2−1+411yescharacteristic
594C4—22no—
595C4—22no—
596C4—22no—
597C4—22no—
598C4—22no—
599C4—41no—
600C4—41no—
601C4—41no—
602C4—41no—
603C4—41no—
604C4—41no—
605C4—41no—
606C4—41no—
607C3C3×#269214yesdirect product factor
608C2—42no—
609C2—42no—
610C2C32×#53511yescharacteristic
611C2C32×#54211yescharacteristic
612C2C32×#54311yescharacteristic
613C2C32×#54611yescharacteristic
614C2C32×D4×Q811yescharacteristic
615C2C32×#55411yescharacteristic
616C2C32×#56211yescharacteristic
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×C22⋊Q8C2semidirect
2. C2×C32×C22⋊Q8C2semidirect
3. C32×#399C2semidirect
4. C32×#398C2semidirect
5. C32×#396C2semidirect
6. C32×#395C2semidirect
7. C32×#393C2semidirect
8. C32×#393C2semidirect
9. C32×#391C2semidirect
11. C32×#387C2semidirect
14. C32×#385C2semidirect
15. C32×#380C2semidirect
16. C3×#2692C3direct (N × H)
54. C2×C3×C22⋊Q8C2×C3semidirect
55. C2×C3×C22⋊Q8C2×C3semidirect
56. C3×#399C2×C3semidirect
57. C3×#398C2×C3semidirect
58. C3×#396C2×C3semidirect
59. C3×#395C2×C3semidirect
60. C3×#393C2×C3semidirect
61. C3×#393C2×C3semidirect
62. C3×#391C2×C3semidirect
64. C3×#387C2×C3semidirect
67. C3×#385C2×C3semidirect
68. C3×#380C2×C3semidirect
79. C2×C32×D4Q8semidirect
107. C32×C4⋊C4D4semidirect
119. #2692C32direct (N × H)
216. C2×C22⋊Q8C2×C32semidirect
217. C2×C22⋊Q8C2×C32semidirect
218. #399C2×C32semidirect
219. #398C2×C32semidirect
220. #396C2×C32semidirect
221. #395C2×C32semidirect
222. #393C2×C32semidirect
223. #393C2×C32semidirect
224. #391C2×C32semidirect
226. #387C2×C32semidirect
229. #385C2×C32semidirect
230. #380C2×C32semidirect
241. C2×C3×D4C3×Q8semidirect
269. C3×C4⋊C4C3×D4semidirect
430. C2×D4C32×Q8semidirect
458. C4⋊C4C32×D4semidirect
504. C32#2692direct (N × H)
607. C3C3×#2692direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C32×C22⋊Q82
C32×#3992
C32×#3982
C32×#3962
C32×#3952
C32×#3932
C32×#3912
C32×#3902
C32×#3872
C32×#3862
C32×#3852
C32×#3802
C3×#26923