Finite Group Databasebeta

← C3⋊D3×#435 #11859189

Subgroups — C3⋊D3×#435 #11859189

Order 1152.

1692 conjugacy classes of subgroups.

The subgroup lattice has 630 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×M16×C3⋊D3C211yesmaximal, characteristic, complemented
2C22×C8×C3⋊D3C211yesmaximal, characteristic, complemented
3C4×D4×C3⋊D3C211yesmaximal, characteristic
4C32×#435C211yesmaximal, characteristic, complemented
5#10592826C211yesmaximal, characteristic, complemented
6#10592810C211yesmaximal, characteristic, complemented
7#10592710C211yesmaximal, characteristic, complemented
8#10592535C211yesmaximal, characteristic, complemented
9C3⋊D3×C4⋊C8C211yesmaximal, characteristic, complemented
10#10592429C211yesmaximal, characteristic, complemented
11#10592427C211yesmaximal, characteristic, complemented
12C3⋊D3×C22⋊C8C211yesmaximal, characteristic, complemented
13C3⋊D3×C22⋊C8C211yesmaximal, characteristic, complemented
14#10592405C211yesmaximal, characteristic, complemented
15C3⋊D3×#97C211yesmaximal, characteristic, complemented
16D3×#435—34nomaximal
17C2×D4×C3⋊D3C411yescharacteristic
18C22×C4×C3⋊D3C2211yescharacteristic
19C22×C4×C3⋊D3C2211yescharacteristic
20C2×C32×M16C2211yescharacteristic, complemented
21C22×C32×C8C2211yescharacteristic, complemented
22C32×C4×D4C2211yescharacteristic
23D4×C3⋊Dic3C411yescharacteristic
24C4×#638C2211yescharacteristic
25C4×#638C2211yescharacteristic
26C2×#3748C2211yescharacteristic, complemented
27C22×C3⋊(C3⋊C8)C2211yescharacteristic, complemented
28M16×C3⋊D3—24no—
29C2×#3743C2211yescharacteristic, complemented
30C2×#3743C2211yescharacteristic, complemented
31C2×C8×C3⋊D3—24no—
32C2×C8×C3⋊D3C2211yescharacteristic
33C2×C8×C3⋊D3C2211yescharacteristic
34C2×C8×C3⋊D3C2211yescharacteristic
35C2×C8×C3⋊D3C2211yescharacteristic
36C2×C8×C3⋊D3C2211yescharacteristic, complemented
37C2×C8×C3⋊D3C2211yescharacteristic, complemented
38#64102C411yescharacteristic
39C4⋊C4×C3⋊D3C411yescharacteristic
40#64090C411yescharacteristic
41#64090C411yescharacteristic
42C22⋊C4×C3⋊D3C411yescharacteristic
43C22⋊C4×C3⋊D3C411yescharacteristic
44C4×C4⋊(C3⋊D3)C2211yescharacteristic
45C42×C3⋊D3C2211yescharacteristic
46C32×C4⋊C8C2211yescharacteristic, complemented
47C32×C22⋊C8C2211yescharacteristic, complemented
48C32×C22⋊C8C2211yescharacteristic, complemented
49C32×#97C2211yescharacteristic, complemented
50#63657C2211yescharacteristic, complemented
51#63657C2211yescharacteristic, complemented
52#63647C2211yescharacteristic, complemented
53#63647C2211yescharacteristic, complemented
54#63647C2211yescharacteristic, complemented
55#63647C2211yescharacteristic, complemented
56#63642C2211yescharacteristic, complemented
57#63642C2211yescharacteristic, complemented
58#63641C2211yescharacteristic, complemented
59#63641C2211yescharacteristic, complemented
60C4⋊(C3⋊(C3⋊C8))C2211yescharacteristic, complemented
61#63630C2211yescharacteristic, complemented
62C2×D3×M16—34no—
63C22×D3×C8—34no—
64C4×D3×D4—34no—
65C3×#435D314yescomplemented
66#5127—34no—
67#5111—34no—
68#5011—34no—
69#4836—34no—
70D3×C4⋊C8—34no—
71#4730—34no—
72#4728—34no—
73D3×C22⋊C8—34no—
74D3×C22⋊C8—34no—
75#4706—34no—
76D3×#97—34no—
77C23×C3⋊D3C2×C411yescharacteristic
78C23×C3⋊D3C2×C411yescharacteristic
79C2×C32×D4C2×C411yescharacteristic
80C22×C32×C4C2311yescharacteristic
81C22×C32×C4C2311yescharacteristic
82C2×#638C2×C411yescharacteristic
83C2×#638C2×C411yescharacteristic
84C22×C3⋊Dic3C2×C411yescharacteristic
85C22×C3⋊Dic3C2×C411yescharacteristic
86D4×C3⋊D3—24no—
87C2×C4⋊(C3⋊D3)C2×C411yescharacteristic
88C2×C4×C3⋊D3—22no—
89C2×C4×C3⋊D3—22no—
90C2×C4×C3⋊D3—22no—
91C2×C4×C3⋊D3—22no—
92C2×C4×C3⋊D3C2×C411yescharacteristic
93C2×C4×C3⋊D3C2×C411yescharacteristic
94C2×C4×C3⋊D3C2×C411yescharacteristic
95C2×C4×C3⋊D3C2×C411yescharacteristic
96C2×C4×C3⋊D3C2×C411yescharacteristic
97C2×C4×C3⋊D3C2×C411yescharacteristic
98C2×C4×C3⋊D3C2311yescharacteristic
99C2×C4×C3⋊D3C2311yescharacteristic
100C2×C4×C3⋊D3C2311yescharacteristic
101C32×M16—22no—
102C2×C32×C8—22no—
103C2×C32×C8C2311yescharacteristic
104C2×C32×C8C2311yescharacteristic
105C2×C32×C8C2311yescharacteristic
106C2×C32×C8C2311yescharacteristic
107C32×C4⋊C4C2×C411yescharacteristic
108C32×C22⋊C4C2×C411yescharacteristic
109C32×C22⋊C4C2×C411yescharacteristic
110C32×C42C2311yescharacteristic
111#3757C2×C411yescharacteristic
112#3757C2×C411yescharacteristic
113#3752C2×C411yescharacteristic
114#3752C2×C411yescharacteristic
115#3752C2×C411yescharacteristic
116#3752C2×C411yescharacteristic
117C4⋊(C3⋊Dic3)C2×C411yescharacteristic
118#3750C2×C411yescharacteristic
119#3750C2×C411yescharacteristic
120C4×C3⋊Dic3C2×C411yescharacteristic
121C4×C3⋊Dic3C2×C411yescharacteristic
122C4×C3⋊Dic3C2311yescharacteristic
123#3748—22no—
124C2×C3⋊(C3⋊C8)—22no—
125C2×C3⋊(C3⋊C8)C2311yescharacteristic
126C2×C3⋊(C3⋊C8)C2311yescharacteristic
127C2×C3⋊(C3⋊C8)C2311yescharacteristic
128C2×C3⋊(C3⋊C8)C2311yescharacteristic
129#3743—22no—
130#3743—22no—
131C8×C3⋊D3—22no—
132C8×C3⋊D3—22no—
133C8×C3⋊D3—22no—
134C8×C3⋊D3—22no—
135C8×C3⋊D3—22no—
136C8×C3⋊D3D414yescomplemented
137C2×#435—91noSylow
138C2×D3×D4—34no—
139C22×C4×D3—34no—
140C22×C4×D3—34no—
141C2×C3×M16C2×D314yescomplemented
142C22×C3×C8C2×D314yescomplemented
143C3×C4×D4C2×D314yes—
144D4×Dic3—34no—
145C4×#67—34no—
146C4×#67—34no—
147C2×#208—34no—
148C22×C3⋊C8—34no—
149D3×M16—616no—
150C2×ΓL(1,𝔽25)—34no—
151C2×ΓL(1,𝔽25)—34no—
152C2×D3×C8—34no—
153C2×D3×C8—34no—
154C2×D3×C8—34no—
155C2×D3×C8—34no—
156C2×D3×C8—34no—
157C2×D3×C8—34no—
158C2×D3×C8—616no—
159#893—34no—
160D3×C4⋊C4—34no—
161#67⋊C4—34no—
162#67⋊C4—34no—
163D3×C22⋊C4—34no—
164D3×C22⋊C4—34no—
165C4×D12—34no—
166C42×D3—34no—
167C3×C4⋊C8C2×D314yescomplemented
168C3×C22⋊C8C2×D314yescomplemented
169C3×C22⋊C8C2×D314yescomplemented
170C3×#97C2×D314yescomplemented
171#830—34no—
172#830—34no—
173(C2×D3)⋊C8—34no—
174(C2×D3)⋊C8—34no—
175(C2×D3)⋊C8—34no—
176(C2×D3)⋊C8—34no—
177#815—34no—
178#815—34no—
179Dic3⋊C8—34no—
180Dic3⋊C8—34no—
181C4⋊(C3⋊C8)—34no—
182#803—34no—
183C23×C32C22×C411yescharacteristic
184C23×C32C22×C411yescharacteristic
185C22×C3⋊D3—22no—
186C22×C3⋊D3—22no—
187C22×C3⋊D3—22no—
188C22×C3⋊D3—22no—
189C22×C3⋊D3—22no—
190C22×C3⋊D3M1614yescomplemented
191C22×C3⋊D3C22×C411yescharacteristic
192C22×C3⋊D3C22×C411yescharacteristic
193C22×C3⋊D3C22×C411yescharacteristic
194C32×D4—22no—
195C2×C32×C4—21no—
196C2×C32×C4—21no—
197C2×C32×C4—21no—
198C2×C32×C4—21no—
199C2×C32×C4C22×C411yescharacteristic
200C2×C32×C4C22×C411yescharacteristic
201C2×C32×C4C22×C411yescharacteristic
202C2×C32×C4C22×C411yescharacteristic
203C2×C32×C4C2411yescharacteristic
204#638—22no—
205#638—22no—
206C2×C3⋊Dic3—22no—
207C2×C3⋊Dic3—22no—
208C2×C3⋊Dic3C22×C411yescharacteristic
209C2×C3⋊Dic3C22×C411yescharacteristic
210C2×C3⋊Dic3C22×C411yescharacteristic
211C2×C3⋊Dic3C22×C411yescharacteristic
212C2×C3⋊Dic3C22×C411yescharacteristic
213C4⋊(C3⋊D3)—22no—
214C4×C3⋊D3—22no—
215C4×C3⋊D3—22no—
216C4×C3⋊D3—22no—
217C4×C3⋊D3—22no—
218C4×C3⋊D3—21no—
219C4×C3⋊D3—21no—
220C4×C3⋊D3—21no—
221C4×C3⋊D3—21no—
222C4×C3⋊D3—22no—
223C4×C3⋊D3—22no—
224C4×C3⋊D3C2×D412yes—
225C4×C3⋊D3#4112yes—
226C32×C8—21no—
227C32×C8—21no—
228C32×C8—21no—
229C32×C8C2×D412yescomplemented
230C3⋊(C3⋊C8)—21no—
231C3⋊(C3⋊C8)—21no—
232C3⋊(C3⋊C8)—21no—
233C3⋊(C3⋊C8)C2×D412yescomplemented
234C22×M16—91no—
235C23×C8—91no—
236C2×C4×D4—91no—
237#435—91no—
238#435—91no—
239#435—91no—
240#435—91no—
241#435—91no—
242#435—91no—
243#435—91no—
244#435C3⋊D311yescharacteristic, direct product factor
245C2×C4⋊C8—91no—
246C2×C22⋊C8—91no—
247C2×C22⋊C8—91no—
248C2×#97—91no—
249C23×D3—34no—
250C23×D3—34no—
251C2×C3×D4C4×D314yes—
252C22×C3×C4C22×D314yes—
253C22×C3×C4C22×D314yes—
254C2×#67—34no—
255C2×#67—34no—
256C22×Dic3—34no—
257C22×Dic3—34no—
258D3×D4—616no—
259C2×D12—34no—
260C2×C4×D3—34no—
261C2×C4×D3—34no—
262C2×C4×D3—34no—
263C2×C4×D3—34no—
264C2×C4×D3—34no—
265C2×C4×D3—34no—
266C2×C4×D3—34no—
267C2×C4×D3—34no—
268C2×C4×D3—34no—
269C2×C4×D3—68no—
270C2×C4×D3—68no—
271C2×C4×D3—68no—
272C2×C4×D3—68no—
273C3×M16—28no—
274C2×C3×C8—28no—
275C2×C3×C8C22×D314yes—
276C2×C3×C8C22×D314yes—
277C2×C3×C8C22×D314yes—
278C2×C3×C8C22×D314yes—
279C3×C4⋊C4C4×D314yes—
280C3×C22⋊C4C4×D314yes—
281C3×C22⋊C4C4×D314yes—
282C3×C42C22×D314yes—
283#217—34no—
284#217—34no—
285(C2×D3)⋊C4—34no—
286(C2×D3)⋊C4—34no—
287(C2×D3)⋊C4—34no—
288(C2×D3)⋊C4—34no—
289C4⋊Dic3—34no—
290Dic3⋊C4—34no—
291Dic3⋊C4—34no—
292C4×Dic3—34no—
293C4×Dic3—34no—
294C4×Dic3—34no—
295#208—68no—
296C2×C3⋊C8—34no—
297C2×C3⋊C8—34no—
298C2×C3⋊C8—34no—
299C2×C3⋊C8—34no—
300C2×C3⋊C8—68no—
301ΓL(1,𝔽25)—68no—
302ΓL(1,𝔽25)—68no—
303D3×C8—316no—
304D3×C8—68no—
305D3×C8—68no—
306D3×C8—68no—
307D3×C8—68no—
308D3×C8—68no—
309C22×C32—21no—
310C22×C32—21no—
311C22×C32—21no—
312C22×C32—21no—
313C22×C32—21no—
314C22×C32C2×M1612yescomplemented
315C22×C32C23×C411yescharacteristic
316C2×C3⋊D3—21no—
317C2×C3⋊D3—21no—
318C2×C3⋊D3—28no—
319C2×C3⋊D3—21no—
320C2×C3⋊D3—21no—
321C2×C3⋊D3—21no—
322C2×C3⋊D3—44no—
323C2×C3⋊D3C4×D412yes—
324C2×C3⋊D3C2×M1612yes—
325C2×C3⋊D3C2×M1612yescomplemented
326C2×C3⋊D3#13112yes—
327C32×C4—21no—
328C32×C4—21no—
329C32×C4—21no—
330C32×C4—21no—
331C32×C4C22×D411yescharacteristic
332C32×C4C2×#4111yescharacteristic
333C3⋊Dic3—21no—
334C3⋊Dic3—21no—
335C3⋊Dic3—21no—
336C3⋊Dic3—21no—
337C3⋊Dic3C4×D412yes—
338C22×D4—91no—
339C23×C4—91no—
340C23×C4—91no—
341C2×M16—91no—
342C2×M16—91no—
343C2×M16—91no—
344C2×M16—184no—
345C2×M16C2×C3⋊D311yescharacteristic, complemented
346C22×C8—91no—
347C22×C8—91no—
348C22×C8—91no—
349C22×C8—91no—
350C22×C8—91no—
351C22×C8—91no—
352C22×C8—91no—
353C22×C8—184no—
354C22×C8C2×C3⋊D311yescharacteristic, complemented
355C4×D4—91no—
356C4×D4—91no—
357C4×D4—91no—
358C4×D4—91no—
359C4×D4—91no—
360C4×D4—91no—
361C4×D4—91no—
362C4×D4C2×C3⋊D311yescharacteristic
363C2×C4⋊C4—91no—
364C2×C22⋊C4—91no—
365C2×C22⋊C4—91no—
366C2×C42—91no—
367C4⋊C8—91no—
368C4⋊C8—91no—
369C4⋊C8—91no—
370C4⋊C8C2×C3⋊D311yescharacteristic, complemented
371C22⋊C8—91no—
372C22⋊C8—91no—
373C22⋊C8—91no—
374C22⋊C8—91no—
375C22⋊C8—91no—
376C22⋊C8—91no—
377C22⋊C8C2×C3⋊D311yescharacteristic, complemented
378C22⋊C8C2×C3⋊D311yescharacteristic, complemented
379#97—91no—
380#97—91no—
381#97—91no—
382#97C2×C3⋊D311yescharacteristic, complemented
383C23×C3C2×C4×D314yes—
384C23×C3C2×C4×D314yes—
385C22×D3—34no—
386C22×D3—316no—
387C22×D3—34no—
388C22×D3—34no—
389C22×D3—68no—
390C22×D3—68no—
391C22×D3—68no—
392C22×D3—68no—
393C22×D3—68no—
394C3×D4—28no—
395C2×C3×C4—24no—
396C2×C3×C4—24no—
397C2×C3×C4—24no—
398C2×C3×C4—24no—
399C2×C3×C4C2×C4×D314yes—
400C2×C3×C4C2×C4×D314yes—
401C2×C3×C4C2×C4×D314yes—
402C2×C3×C4C2×C4×D314yes—
403C2×C3×C4C23×D314yes—
404#67—68no—
405#67—68no—
406C2×Dic3—34no—
407C2×Dic3—34no—
408C2×Dic3—34no—
409C2×Dic3—34no—
410C2×Dic3—34no—
411C2×Dic3—68no—
412C2×Dic3—68no—
413D12—68no—
414C4×D3—38no—
415C4×D3—38no—
416C4×D3—68no—
417C4×D3—68no—
418C4×D3—68no—
419C4×D3—68no—
420C4×D3—68no—
421C4×D3—68no—
422C4×D3—64no—
423C4×D3—64no—
424C4×D3—64no—
425C4×D3—64no—
426C3×C8—24no—
427C3×C8—24no—
428C3×C8—24no—
429C3×C8D3×D418yescomplemented
430C3⋊C8—38no—
431C3⋊C8—64no—
432C3⋊C8—64no—
433C3⋊C8—64no—
434C2×C32—22no—
435C2×C32—41no—
436C2×C32C2×C4×D411yescharacteristic
437C2×C32C22×M1611yescharacteristic
438C2×C32C2×#13111yescharacteristic
439C3⋊D3—22no—
440C3⋊D3—41no—
441C3⋊D3#43514yesdirect product factor
442C24—91no—
443C24—91no—
444C2×D4—91no—
445C2×D4—91no—
446C2×D4—91no—
447C2×D4—184no—
448C2×D4C4×C3⋊D311yescharacteristic
449C22×C4—91no—
450C22×C4—91no—
451C22×C4—91no—
452C22×C4—91no—
453C22×C4—91no—
454C22×C4—91no—
455C22×C4—91no—
456C22×C4—91no—
457C22×C4—91no—
458C22×C4—91no—
459C22×C4—91no—
460C22×C4—182no—
461C22×C4—182no—
462C22×C4—182no—
463C22×C4—182no—
464C22×C4C22×C3⋊D311yescharacteristic
465C22×C4C22×C3⋊D311yescharacteristic
466M16—22no—
467M16—182no—
468M16—182no—
469M16—182no—
470C2×C8—22no—
471C2×C8—91no—
472C2×C8—94no—
473C2×C8—91no—
474C2×C8—91no—
475C2×C8—91no—
476C2×C8—182no—
477C2×C8—182no—
478C2×C8—182no—
479C2×C8—182no—
480C2×C8—182no—
481C2×C8—182no—
482C2×C8C22×C3⋊D311yescharacteristic
483C2×C8C22×C3⋊D311yescharacteristic
484C2×C8C22×C3⋊D311yescharacteristic
485C2×C8C22×C3⋊D311yescharacteristic
486C4⋊C4—91no—
487C4⋊C4—91no—
488C4⋊C4—91no—
489C4⋊C4C4×C3⋊D311yescharacteristic
490C22⋊C4—91no—
491C22⋊C4—91no—
492C22⋊C4—91no—
493C22⋊C4—91no—
494C22⋊C4—91no—
495C22⋊C4—91no—
496C22⋊C4C4×C3⋊D311yescharacteristic
497C22⋊C4C4×C3⋊D311yescharacteristic
498C42—91no—
499C42—91no—
500C42—91no—
501C42C22×C3⋊D311yescharacteristic
502C22×C3—24no—
503C22×C3—24no—
504C22×C3—24no—
505C22×C3—24no—
506C22×C3—24no—
507C22×C3D3×M1618yescomplemented
508C22×C3C22×C4×D314yes—
509C2×D3—38no—
510C2×D3—38no—
511C2×D3—38no—
512C2×D3—38no—
513C2×D3—632no—
514C2×D3—64no—
515C2×D3—64no—
516C2×D3—64no—
517C2×D3—64no—
518C2×D3—64no—
519C2×D3—1216no—
520C3×C4—24no—
521C3×C4—24no—
522C3×C4—24no—
523C3×C4—24no—
524C3×C4C2×D3×D414yes—
525C3×C4D3×#4114yes—
526Dic3—38no—
527Dic3—64no—
528Dic3—64no—
529Dic3—64no—
530Dic3—64no—
531C32C2×#43511yescharacteristic, complemented, Sylow
532C23—91no—
533C23—91no—
534C23—94no—
535C23—91no—
536C23—182no—
537C23—182no—
538C23—182no—
539C23—182no—
540C23—182no—
541C23C2×C4×C3⋊D311yescharacteristic
542C23C2×C4×C3⋊D311yescharacteristic
543D4—22no—
544D4—182no—
545D4—182no—
546D4—182no—
547C2×C4—21no—
548C2×C4—21no—
549C2×C4—21no—
550C2×C4—21no—
551C2×C4—91no—
552C2×C4—92no—
553C2×C4—92no—
554C2×C4—91no—
555C2×C4—91no—
556C2×C4—91no—
557C2×C4—91no—
558C2×C4—182no—
559C2×C4—182no—
560C2×C4—182no—
561C2×C4—182no—
562C2×C4—182no—
563C2×C4—182no—
564C2×C4—182no—
565C2×C4—182no—
566C2×C4—181no—
567C2×C4—181no—
568C2×C4—181no—
569C2×C4—181no—
570C2×C4C2×C4×C3⋊D311yescharacteristic
571C2×C4C2×C4×C3⋊D311yescharacteristic
572C2×C4C2×C4×C3⋊D311yescharacteristic
573C2×C4C2×C4×C3⋊D311yescharacteristic
574C2×C4C23×C3⋊D311yescharacteristic
575C8—21no—
576C8—21no—
577C8—21no—
578C8—92no—
579C8—181no—
580C8—181no—
581C8—181no—
582C8D4×C3⋊D312yescomplemented
583C2×C3—28no—
584C2×C3—44no—
585C2×C3C4×D3×D414yes—
586C2×C3C2×D3×M1614yes—
587C2×C3D3×#13114yes—
588D3—316no—
589D3—68no—
590D3—124no—
591C22—21no—
592C22—21no—
593C22—21no—
594C22—21no—
595C22—21no—
596C22—92no—
597C22—92no—
598C22—92no—
599C22—92no—
600C22—188no—
601C22—181no—
602C22—181no—
603C22—181no—
604C22—181no—
605C22—181no—
606C22—364no—
607C22M16×C3⋊D312yescomplemented
608C22C22×C4×C3⋊D311yescharacteristic
609C4—21no—
610C4—21no—
611C4—21no—
612C4—21no—
613C4—92no—
614C4—181no—
615C4—181no—
616C4—181no—
617C4—181no—
618C4C2×D4×C3⋊D311yescharacteristic
619C4#41×C3⋊D311yescharacteristic
620C3D3×#43514yescomplemented
621C2—22no—
622C2—41no—
623C2—94no—
624C2—182no—
625C2—361no—
626C2C4×D4×C3⋊D311yescharacteristic
627C2C2×M16×C3⋊D311yescharacteristic
628C2C3⋊D3×#13111yescharacteristic
subgroupG/H
center, FrattiniC2×C4C23×C3⋊D3
commutator, socleC22×C32C23×C4
FittingC32×#435C2
prime radicalC2×D4×C3⋊D3C4
cosocleC2×C32×C4C24
hypercenter#435C3⋊D3
hypocenterC32C2×#435
LCSG ▷ C22×C32 ▷ C32
UCSC1 ◁ C2×C4 ◁ #435

Complements

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

NH ≅ G/Ntype
1. C2×M16×C3⋊D3C2semidirect
2. C22×C8×C3⋊D3C2semidirect
4. C32×#435C2semidirect
5. #10592826C2semidirect
6. #10592810C2semidirect
7. #10592710C2semidirect
8. #10592535C2semidirect
9. C3⋊D3×C4⋊C8C2semidirect
10. #10592429C2semidirect
11. #10592427C2semidirect
12. C3⋊D3×C22⋊C8C2semidirect
13. C3⋊D3×C22⋊C8C2semidirect
14. #10592405C2semidirect
15. C3⋊D3×#97C2semidirect
20. C2×C32×M16C22semidirect
21. C22×C32×C8C22semidirect
26. C2×#3748C22semidirect
27. C22×C3⋊(C3⋊C8)C22semidirect
29. C2×#3743C22semidirect
30. C2×#3743C22semidirect
36. C2×C8×C3⋊D3C22semidirect
37. C2×C8×C3⋊D3C22semidirect
46. C32×C4⋊C8C22semidirect
47. C32×C22⋊C8C22semidirect
48. C32×C22⋊C8C22semidirect
49. C32×#97C22semidirect
50. #63657C22semidirect
51. #63657C22semidirect
52. #63647C22semidirect
53. #63647C22semidirect
54. #63647C22semidirect
55. #63647C22semidirect
56. #63642C22semidirect
57. #63642C22semidirect
58. #63641C22semidirect
59. #63641C22semidirect
60. C4⋊(C3⋊(C3⋊C8))C22semidirect
61. #63630C22semidirect
65. C3×#435D3semidirect
136. C8×C3⋊D3D4semidirect
141. C2×C3×M16C2×D3semidirect
142. C22×C3×C8C2×D3semidirect
167. C3×C4⋊C8C2×D3semidirect
168. C3×C22⋊C8C2×D3semidirect
169. C3×C22⋊C8C2×D3semidirect
170. C3×#97C2×D3semidirect
190. C22×C3⋊D3M16semidirect
229. C32×C8C2×D4semidirect
233. C3⋊(C3⋊C8)C2×D4semidirect
244. #435C3⋊D3direct (N × H)
314. C22×C32C2×M16semidirect
325. C2×C3⋊D3C2×M16semidirect
345. C2×M16C2×C3⋊D3semidirect
354. C22×C8C2×C3⋊D3semidirect
370. C4⋊C8C2×C3⋊D3semidirect
377. C22⋊C8C2×C3⋊D3semidirect
378. C22⋊C8C2×C3⋊D3semidirect
382. #97C2×C3⋊D3semidirect
429. C3×C8D3×D4semidirect
441. C3⋊D3#435direct (N × H)
507. C22×C3D3×M16semidirect
531. C32C2×#435semidirect
582. C8D4×C3⋊D3semidirect
607. C22M16×C3⋊D3semidirect
620. C3D3×#435semidirect

Maximal subgroups

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

subgroupindex
C2×M16×C3⋊D32
C22×C8×C3⋊D32
C4×D4×C3⋊D32
C32×#4352
#105928262
#105928102
#105927102
#105925352
C3⋊D3×C4⋊C82
#105924292
#105924272
C3⋊D3×C22⋊C82
#105924052
C3⋊D3×#972
D3×#4353