Finite Group Databasebeta

← C2×C3×C4×C16×C64 #72201846

Subgroups — C2×C3×C4×C16×C64 #72201846

Order 24576.

17180 conjugacy classes of subgroups.

The subgroup lattice has 1228 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C3×C4×C16×C32C211yesmaximal, characteristic
2C2×C3×C4×C8×C64C212yesmaximal
3C22×C3×C16×C64C214yesmaximal
4C3×C4×C16×C64C218yesmaximal, direct product factor
5C2×C4×C16×C64C311yesmaximal, characteristic, direct product factor, Sylow
6C2×C3×C4×C162C411yescharacteristic
7C2×C3×C4×C8×C32C411yescharacteristic
8C2×C3×C4×C8×C32C2211yescharacteristic
9C3×C4×C16×C32C414yes—
10C3×C4×C16×C32C2214yes—
11C22×C3×C16×C32C412yes—
12C22×C3×C16×C32C2212yes—
13C2×C3×C42×C64C414yes—
14C22×C3×C8×C64C414yes—
15C22×C3×C8×C64C2214yes—
16C3×C4×C8×C64C418yes—
17C3×C4×C8×C64C2218yes—
18C2×C3×C16×C64C4132yesdirect product factor
19C2×C3×C16×C64C22116yes—
20C2×C4×C16×C32C2×C311yescharacteristic
21C2×C4×C8×C64C2×C312yes—
22C22×C16×C64C2×C314yes—
23C4×C16×C64C2×C318yesdirect product factor
24C2×C3×C4×C8×C16C812yes—
25C2×C3×C4×C8×C16C2×C411yescharacteristic
26C22×C3×C162C812yes—
27C22×C3×C162C2×C412yes—
28C3×C4×C162C814yes—
29C3×C4×C162C2×C414yes—
30C2×C3×C42×C32C812yes—
31C2×C3×C42×C32C2×C412yes—
32C22×C3×C8×C32C812yes—
33C22×C3×C8×C32C2×C411yescharacteristic
34C22×C3×C8×C32C2×C412yes—
35C22×C3×C8×C32C2×C412yes—
36C22×C3×C8×C32C2311yescharacteristic
37C3×C4×C8×C32C814yes—
38C3×C4×C8×C32C2×C412yes—
39C3×C4×C8×C32C2×C414yes—
40C3×C4×C8×C32C2×C414yes—
41C3×C4×C8×C32C2312yes—
42C2×C3×C16×C32C8116yes—
43C2×C3×C16×C32C2×C414yes—
44C2×C3×C16×C32C2×C418yes—
45C2×C3×C16×C32C2×C4116yes—
46C2×C3×C16×C32C2314yes—
47C22×C3×C4×C64C8116yes—
48C22×C3×C4×C64C2×C418yes—
49C3×C42×C64C8116yes—
50C3×C42×C64C2×C4116yes—
51C2×C3×C8×C64C8132yes—
52C2×C3×C8×C64C2×C418yes—
53C2×C3×C8×C64C2×C4116yes—
54C2×C3×C8×C64C2×C4132yes—
55C2×C3×C8×C64C2318yes—
56C3×C16×C64C2×C4164yesdirect product factor
57C2×C4×C162C3×C411yescharacteristic
58C2×C4×C8×C32C3×C411yescharacteristic
59C2×C4×C8×C32C22×C311yescharacteristic
60C4×C16×C32C3×C414yes—
61C4×C16×C32C22×C314yes—
62C22×C16×C32C3×C412yes—
63C22×C16×C32C22×C312yes—
64C2×C42×C64C3×C414yes—
65C22×C8×C64C3×C414yes—
66C22×C8×C64C22×C314yes—
67C4×C8×C64C3×C418yes—
68C4×C8×C64C22×C318yes—
69C2×C16×C64C3×C4132yesdirect product factor
70C2×C16×C64C22×C3116yes—
71C2×C3×C4×C82C2×C811yescharacteristic
72C2×C3×C42×C16C1614yes—
73C2×C3×C42×C16C4211yescharacteristic
74C2×C3×C42×C16C2×C811yescharacteristic
75C22×C3×C8×C16C1614yes—
76C22×C3×C8×C16C4211yescharacteristic
77C22×C3×C8×C16C2×C811yescharacteristic
78C22×C3×C8×C16C2×C811yescharacteristic
79C22×C3×C8×C16C2×C814yes—
80C22×C3×C8×C16C22×C411yescharacteristic
81C3×C4×C8×C16C1618yes—
82C3×C4×C8×C16C4212yes—
83C3×C4×C8×C16C2×C812yes—
84C3×C4×C8×C16C2×C812yes—
85C3×C4×C8×C16C2×C818yes—
86C3×C4×C8×C16C22×C412yes—
87C2×C3×C162C16116yes—
88C2×C3×C162C4218yes—
89C2×C3×C162C2×C814yes—
90C2×C3×C162C2×C818yes—
91C2×C3×C162C2×C818yes—
92C2×C3×C162C22×C414yes—
93C22×C3×C4×C32C1618yes—
94C22×C3×C4×C32C4212yes—
95C22×C3×C4×C32C2×C814yes—
96C22×C3×C4×C32C2×C818yes—
97C22×C3×C4×C32C22×C412yes—
98C3×C42×C32C1618yes—
99C3×C42×C32C4214yes—
100C3×C42×C32C2×C818yes—
101C3×C42×C32C2×C818yes—
102C3×C42×C32C22×C414yes—
103C2×C3×C8×C32C16116yes—
104C2×C3×C8×C32C4212yes—
105C2×C3×C8×C32C4214yes—
106C2×C3×C8×C32C4218yes—
107C2×C3×C8×C32C2×C814yes—
108C2×C3×C8×C32C2×C818yes—
109C2×C3×C8×C32C2×C818yes—
110C2×C3×C8×C32C2×C818yes—
111C2×C3×C8×C32C2×C8116yes—
112C2×C3×C8×C32C22×C411yescharacteristic
113C2×C3×C8×C32C22×C412yes—
114C2×C3×C8×C32C22×C412yes—
115C2×C3×C8×C32C22×C414yes—
116C2×C3×C8×C32C22×C414yes—
117C2×C3×C8×C32C22×C418yes—
118C2×C3×C8×C32C2411yescharacteristic
119C3×C16×C32C42116yes—
120C3×C16×C32C2×C8132yes—
121C3×C16×C32C22×C4116yes—
122C2×C3×C4×C64C161128yesdirect product factor
123C2×C3×C4×C64C42132yes—
124C2×C3×C4×C64C2×C8116yes—
125C2×C3×C4×C64C2×C8132yes—
126C2×C3×C4×C64C2×C8164yes—
127C2×C3×C4×C64C22×C4116yes—
128C23×C3×C64C2×C8116yes—
129C3×C8×C64C42132yes—
130C3×C8×C64C2×C8164yes—
131C3×C8×C64C22×C4132yes—
132C2×C4×C8×C16C3×C812yes—
133C2×C4×C8×C16C2×C3×C411yescharacteristic
134C22×C162C3×C812yes—
135C22×C162C2×C3×C412yes—
136C4×C162C3×C814yes—
137C4×C162C2×C3×C414yes—
138C2×C42×C32C3×C812yes—
139C2×C42×C32C2×C3×C412yes—
140C22×C8×C32C3×C812yes—
141C22×C8×C32C2×C3×C411yescharacteristic
142C22×C8×C32C2×C3×C412yes—
143C22×C8×C32C2×C3×C412yes—
144C22×C8×C32C23×C311yescharacteristic
145C4×C8×C32C3×C814yes—
146C4×C8×C32C2×C3×C412yes—
147C4×C8×C32C2×C3×C414yes—
148C4×C8×C32C2×C3×C414yes—
149C4×C8×C32C23×C312yes—
150C2×C16×C32C3×C8116yes—
151C2×C16×C32C2×C3×C414yes—
152C2×C16×C32C2×C3×C418yes—
153C2×C16×C32C2×C3×C4116yes—
154C2×C16×C32C23×C314yes—
155C22×C4×C64C3×C8116yes—
156C22×C4×C64C2×C3×C418yes—
157C2×C8×C64C3×C8132yes—
158C2×C8×C64C2×C3×C418yes—
159C2×C8×C64C2×C3×C4116yes—
160C2×C8×C64C2×C3×C4132yes—
161C2×C8×C64C23×C318yes—
162C42×C64C3×C8116yes—
163C42×C64C2×C3×C4116yes—
164C16×C64C2×C3×C4164yesdirect product factor
165C23×C3×C32C4×C814yes—
166C23×C3×C32C2×C1618yes—
167C23×C3×C32C22×C814yes—
168C22×C3×C4×C16C32116yes—
169C22×C3×C4×C16C4×C811yescharacteristic
170C22×C3×C4×C16C4×C811yescharacteristic
171C22×C3×C4×C16C4×C814yes—
172C22×C3×C4×C16C2×C1614yes—
173C22×C3×C4×C16C2×C1618yes—
174C22×C3×C4×C16C2×C4211yescharacteristic
175C22×C3×C4×C16C22×C811yescharacteristic
176C2×C3×C42×C8C4×C811yescharacteristic
177C2×C3×C42×C8C2×C1612yes—
178C22×C3×C82C4×C811yescharacteristic
179C22×C3×C82C2×C1612yes—
180C22×C3×C82C22×C811yescharacteristic
181C22×C3×C64C4×C8164yes—
182C22×C3×C64C2×C161128yes—
183C22×C3×C64C22×C8132yes—
184C2×C3×C4×C32C32164yes—
185C2×C3×C4×C32C4×C814yes—
186C2×C3×C4×C32C4×C818yes—
187C2×C3×C4×C32C4×C818yes—
188C2×C3×C4×C32C4×C8116yes—
189C2×C3×C4×C32C4×C8116yes—
190C2×C3×C4×C32C2×C1618yes—
191C2×C3×C4×C32C2×C16116yes—
192C2×C3×C4×C32C2×C16132yes—
193C2×C3×C4×C32C2×C16164yes—
194C2×C3×C4×C32C2×C4212yes—
195C2×C3×C4×C32C2×C4214yes—
196C2×C3×C4×C32C2×C4218yes—
197C2×C3×C4×C32C22×C814yes—
198C2×C3×C4×C32C22×C818yes—
199C2×C3×C4×C32C22×C818yes—
200C2×C3×C4×C32C22×C8116yes—
201C2×C3×C4×C32C23×C412yes—
202C3×C42×C16C32116yes—
203C3×C42×C16C4×C812yes—
204C3×C42×C16C4×C812yes—
205C3×C42×C16C4×C814yes—
206C3×C42×C16C2×C1614yes—
207C3×C42×C16C2×C16116yes—
208C3×C42×C16C2×C4212yes—
209C3×C42×C16C22×C812yes—
210C2×C3×C8×C16C32132yes—
211C2×C3×C8×C16C4×C812yes—
212C2×C3×C8×C16C4×C812yes—
213C2×C3×C8×C16C4×C812yes—
214C2×C3×C8×C16C4×C818yes—
215C2×C3×C8×C16C4×C8116yes—
216C2×C3×C8×C16C2×C1618yes—
217C2×C3×C8×C16C2×C1618yes—
218C2×C3×C8×C16C2×C1618yes—
219C2×C3×C8×C16C2×C16116yes—
220C2×C3×C8×C16C2×C16116yes—
221C2×C3×C8×C16C2×C4211yescharacteristic
222C2×C3×C8×C16C2×C4212yes—
223C2×C3×C8×C16C2×C4214yes—
224C2×C3×C8×C16C22×C811yescharacteristic
225C2×C3×C8×C16C22×C811yescharacteristic
226C2×C3×C8×C16C22×C812yes—
227C2×C3×C8×C16C22×C812yes—
228C2×C3×C8×C16C22×C814yes—
229C2×C3×C8×C16C22×C818yes—
230C2×C3×C8×C16C23×C411yescharacteristic
231C3×C4×C82C4×C812yes—
232C3×C4×C82C2×C1614yes—
233C3×C4×C82C22×C812yes—
234C3×C4×C64C4×C8164yes—
235C3×C4×C64C2×C161256yesdirect product factor
236C3×C4×C64C2×C42132yes—
237C3×C4×C64C22×C8132yes—
238C3×C8×C32C4×C818yes—
239C3×C8×C32C4×C8116yes—
240C3×C8×C32C4×C8116yes—
241C3×C8×C32C2×C16132yes—
242C3×C8×C32C2×C4214yes—
243C3×C8×C32C2×C4218yes—
244C3×C8×C32C2×C4218yes—
245C3×C8×C32C22×C818yes—
246C3×C8×C32C22×C818yes—
247C3×C8×C32C22×C8116yes—
248C3×C8×C32C23×C414yes—
249C3×C162C4×C8116yes—
250C3×C162C2×C16132yes—
251C3×C162C2×C4218yes—
252C3×C162C22×C818yes—
253C23×C64C2×C3×C8116yes—
254C22×C4×C32C3×C1618yes—
255C22×C4×C32C3×C4212yes—
256C22×C4×C32C2×C3×C814yes—
257C22×C4×C32C2×C3×C818yes—
258C22×C4×C32C22×C3×C412yes—
259C2×C42×C16C3×C1614yes—
260C2×C42×C16C3×C4211yescharacteristic
261C2×C42×C16C2×C3×C811yescharacteristic
262C22×C8×C16C3×C1614yes—
263C22×C8×C16C3×C4211yescharacteristic
264C22×C8×C16C2×C3×C811yescharacteristic
265C22×C8×C16C2×C3×C811yescharacteristic
266C22×C8×C16C2×C3×C814yes—
267C22×C8×C16C22×C3×C411yescharacteristic
268C2×C4×C82C2×C3×C811yescharacteristic
269C2×C4×C64C3×C161128yesdirect product factor
270C2×C4×C64C3×C42132yes—
271C2×C4×C64C2×C3×C8116yes—
272C2×C4×C64C2×C3×C8132yes—
273C2×C4×C64C2×C3×C8164yes—
274C2×C4×C64C22×C3×C4116yes—
275C42×C32C3×C1618yes—
276C42×C32C3×C4214yes—
277C42×C32C2×C3×C818yes—
278C42×C32C2×C3×C818yes—
279C42×C32C22×C3×C414yes—
280C2×C8×C32C3×C16116yes—
281C2×C8×C32C3×C4212yes—
282C2×C8×C32C3×C4214yes—
283C2×C8×C32C3×C4218yes—
284C2×C8×C32C2×C3×C814yes—
285C2×C8×C32C2×C3×C818yes—
286C2×C8×C32C2×C3×C818yes—
287C2×C8×C32C2×C3×C818yes—
288C2×C8×C32C2×C3×C8116yes—
289C2×C8×C32C22×C3×C411yescharacteristic
290C2×C8×C32C22×C3×C412yes—
291C2×C8×C32C22×C3×C412yes—
292C2×C8×C32C22×C3×C414yes—
293C2×C8×C32C22×C3×C414yes—
294C2×C8×C32C22×C3×C418yes—
295C2×C8×C32C24×C311yescharacteristic
296C4×C8×C16C3×C1618yes—
297C4×C8×C16C3×C4212yes—
298C4×C8×C16C2×C3×C812yes—
299C4×C8×C16C2×C3×C812yes—
300C4×C8×C16C2×C3×C818yes—
301C4×C8×C16C22×C3×C412yes—
302C2×C162C3×C16116yes—
303C2×C162C3×C4218yes—
304C2×C162C2×C3×C814yes—
305C2×C162C2×C3×C818yes—
306C2×C162C2×C3×C818yes—
307C2×C162C22×C3×C414yes—
308C8×C64C3×C42132yes—
309C8×C64C2×C3×C8164yes—
310C8×C64C22×C3×C4132yes—
311C16×C32C3×C42116yes—
312C16×C32C2×C3×C8132yes—
313C16×C32C22×C3×C4116yes—
314C23×C3×C16C8212yes—
315C23×C3×C16C4×C1612yes—
316C23×C3×C16C2×C32116yes—
317C23×C3×C16C2×C4×C812yes—
318C23×C3×C16C22×C1612yes—
319C22×C3×C4×C8C8212yes—
320C22×C3×C4×C8C4×C1611yescharacteristic
321C22×C3×C4×C8C4×C1612yes—
322C22×C3×C4×C8C4×C1612yes—
323C22×C3×C4×C8C2×C3218yes—
324C22×C3×C4×C8C2×C4×C811yescharacteristic
325C22×C3×C4×C8C22×C1612yes—
326C2×C3×C43C4×C1611yescharacteristic
327C22×C3×C32C82116yes—
328C22×C3×C32C4×C16132yes—
329C22×C3×C32C4×C16132yes—
330C22×C3×C32C2×C32164yes—
331C22×C3×C32C2×C4×C814yes—
332C22×C3×C32C2×C4×C818yes—
333C22×C3×C32C2×C4×C8116yes—
334C22×C3×C32C22×C16116yes—
335C22×C3×C32C22×C16132yes—
336C22×C3×C32C23×C814yes—
337C2×C3×C4×C16C641128yesdirect product factor
338C2×C3×C4×C16C8212yes—
339C2×C3×C4×C16C8214yes—
340C2×C3×C4×C16C8218yes—
341C2×C3×C4×C16C4×C1612yes—
342C2×C3×C4×C16C4×C1614yes—
343C2×C3×C4×C16C4×C1614yes—
344C2×C3×C4×C16C4×C1614yes—
345C2×C3×C4×C16C4×C1618yes—
346C2×C3×C4×C16C4×C16132yes—
347C2×C3×C4×C16C4×C16132yes—
348C2×C3×C4×C16C2×C32116yes—
349C2×C3×C4×C16C2×C32132yes—
350C2×C3×C4×C16C2×C32132yes—
351C2×C3×C4×C16C2×C32164yes—
352C2×C3×C4×C16C4312yes—
353C2×C3×C4×C16C2×C4×C811yescharacteristic
354C2×C3×C4×C16C2×C4×C811yescharacteristic
355C2×C3×C4×C16C2×C4×C812yes—
356C2×C3×C4×C16C2×C4×C812yes—
357C2×C3×C4×C16C2×C4×C812yes—
358C2×C3×C4×C16C2×C4×C812yes—
359C2×C3×C4×C16C2×C4×C814yes—
360C2×C3×C4×C16C2×C4×C814yes—
361C2×C3×C4×C16C2×C4×C818yes—
362C2×C3×C4×C16C22×C1612yes—
363C2×C3×C4×C16C22×C1614yes—
364C2×C3×C4×C16C22×C1618yes—
365C2×C3×C4×C16C22×C16116yes—
366C2×C3×C4×C16C22×C4211yescharacteristic
367C2×C3×C4×C16C23×C811yescharacteristic
368C3×C42×C8C8212yes—
369C3×C42×C8C4×C1612yes—
370C3×C42×C8C4×C1612yes—
371C3×C42×C8C4×C1614yes—
372C3×C42×C8C2×C3218yes—
373C3×C42×C8C2×C4×C812yes—
374C3×C42×C8C22×C1614yes—
375C2×C3×C82C8214yes—
376C2×C3×C82C4×C1612yes—
377C2×C3×C82C4×C1614yes—
378C2×C3×C82C4×C1614yes—
379C2×C3×C82C2×C32116yes—
380C2×C3×C82C2×C4×C811yescharacteristic
381C2×C3×C82C2×C4×C812yes—
382C2×C3×C82C2×C4×C814yes—
383C2×C3×C82C22×C1612yes—
384C2×C3×C82C22×C1614yes—
385C2×C3×C82C22×C1614yes—
386C2×C3×C82C23×C811yescharacteristic
387C2×C3×C64C4×C161256yesdirect product factor
388C2×C3×C64C2×C4×C8164yes—
389C2×C3×C64C22×C161128yes—
390C3×C4×C32C82116yes—
391C3×C4×C32C4×C16132yes—
392C3×C4×C32C4×C16164yes—
393C3×C4×C32C2×C321128yes—
394C3×C4×C32C4314yes—
395C3×C4×C32C2×C4×C814yes—
396C3×C4×C32C2×C4×C818yes—
397C3×C4×C32C2×C4×C818yes—
398C3×C4×C32C2×C4×C8116yes—
399C3×C4×C32C2×C4×C8116yes—
400C3×C4×C32C22×C16116yes—
401C3×C4×C32C22×C16164yes—
402C3×C4×C32C22×C4214yes—
403C3×C4×C32C23×C814yes—
404C3×C8×C16C8218yes—
405C3×C8×C16C4×C1618yes—
406C3×C8×C16C4×C1618yes—
407C3×C8×C16C4×C16132yes—
408C3×C8×C16C2×C32164yes—
409C3×C8×C16C4312yes—
410C3×C8×C16C2×C4×C812yes—
411C3×C8×C16C2×C4×C814yes—
412C3×C8×C16C2×C4×C814yes—
413C3×C8×C16C2×C4×C818yes—
414C3×C8×C16C2×C4×C8116yes—
415C3×C8×C16C22×C1618yes—
416C3×C8×C16C22×C1618yes—
417C3×C8×C16C22×C16116yes—
418C3×C8×C16C22×C4212yes—
419C3×C8×C16C23×C812yes—
420C23×C32C3×C4×C814yes—
421C23×C32C2×C3×C1618yes—
422C23×C32C22×C3×C814yes—
423C22×C4×C16C3×C32116yes—
424C22×C4×C16C3×C4×C811yescharacteristic
425C22×C4×C16C3×C4×C811yescharacteristic
426C22×C4×C16C3×C4×C814yes—
427C22×C4×C16C2×C3×C1614yes—
428C22×C4×C16C2×C3×C1618yes—
429C22×C4×C16C2×C3×C4211yescharacteristic
430C22×C4×C16C22×C3×C811yescharacteristic
431C2×C42×C8C3×C4×C811yescharacteristic
432C2×C42×C8C2×C3×C1612yes—
433C22×C82C3×C4×C811yescharacteristic
434C22×C82C2×C3×C1612yes—
435C22×C82C22×C3×C811yescharacteristic
436C22×C64C3×C4×C8164yes—
437C22×C64C2×C3×C161128yes—
438C22×C64C22×C3×C8132yes—
439C2×C4×C32C3×C32164yes—
440C2×C4×C32C3×C4×C814yes—
441C2×C4×C32C3×C4×C818yes—
442C2×C4×C32C3×C4×C818yes—
443C2×C4×C32C3×C4×C8116yes—
444C2×C4×C32C3×C4×C8116yes—
445C2×C4×C32C2×C3×C1618yes—
446C2×C4×C32C2×C3×C16116yes—
447C2×C4×C32C2×C3×C16132yes—
448C2×C4×C32C2×C3×C16164yes—
449C2×C4×C32C2×C3×C4212yes—
450C2×C4×C32C2×C3×C4214yes—
451C2×C4×C32C2×C3×C4218yes—
452C2×C4×C32C22×C3×C814yes—
453C2×C4×C32C22×C3×C818yes—
454C2×C4×C32C22×C3×C818yes—
455C2×C4×C32C22×C3×C8116yes—
456C2×C4×C32C23×C3×C412yes—
457C42×C16C3×C32116yes—
458C42×C16C3×C4×C812yes—
459C42×C16C3×C4×C812yes—
460C42×C16C3×C4×C814yes—
461C42×C16C2×C3×C1614yes—
462C42×C16C2×C3×C16116yes—
463C42×C16C2×C3×C4212yes—
464C42×C16C22×C3×C812yes—
465C2×C8×C16C3×C32132yes—
466C2×C8×C16C3×C4×C812yes—
467C2×C8×C16C3×C4×C812yes—
468C2×C8×C16C3×C4×C812yes—
469C2×C8×C16C3×C4×C818yes—
470C2×C8×C16C3×C4×C8116yes—
471C2×C8×C16C2×C3×C1618yes—
472C2×C8×C16C2×C3×C1618yes—
473C2×C8×C16C2×C3×C1618yes—
474C2×C8×C16C2×C3×C16116yes—
475C2×C8×C16C2×C3×C16116yes—
476C2×C8×C16C2×C3×C4211yescharacteristic
477C2×C8×C16C2×C3×C4212yes—
478C2×C8×C16C2×C3×C4214yes—
479C2×C8×C16C22×C3×C811yescharacteristic
480C2×C8×C16C22×C3×C811yescharacteristic
481C2×C8×C16C22×C3×C812yes—
482C2×C8×C16C22×C3×C812yes—
483C2×C8×C16C22×C3×C814yes—
484C2×C8×C16C22×C3×C818yes—
485C2×C8×C16C23×C3×C411yescharacteristic
486C4×C82C3×C4×C812yes—
487C4×C82C2×C3×C1614yes—
488C4×C82C22×C3×C812yes—
489C4×C64C3×C4×C8164yes—
490C4×C64C2×C3×C161256yesdirect product factor
491C4×C64C2×C3×C42132yes—
492C4×C64C22×C3×C8132yes—
493C8×C32C3×C4×C818yes—
494C8×C32C3×C4×C8116yes—
495C8×C32C3×C4×C8116yes—
496C8×C32C2×C3×C16132yes—
497C8×C32C2×C3×C4214yes—
498C8×C32C2×C3×C4218yes—
499C8×C32C2×C3×C4218yes—
500C8×C32C22×C3×C818yes—
501C8×C32C22×C3×C818yes—
502C8×C32C22×C3×C8116yes—
503C8×C32C23×C3×C414yes—
504C162C3×C4×C8116yes—
505C162C2×C3×C16132yes—
506C162C2×C3×C4218yes—
507C162C22×C3×C818yes—
508C23×C3×C8C8×C1612yes—
509C23×C3×C8C4×C3214yes—
510C23×C3×C8C2×C8211yescharacteristic
511C23×C3×C8C2×C4×C1611yescharacteristic
512C23×C3×C8C22×C3214yes—
513C22×C3×C42C8×C1612yes—
514C22×C3×C42C4×C3214yes—
515C22×C3×C42C2×C4×C1611yescharacteristic
516C22×C3×C16C8×C1618yes—
517C22×C3×C16C8×C1618yes—
518C22×C3×C16C8×C16116yes—
519C22×C3×C16C4×C32116yes—
520C22×C3×C16C4×C32164yes—
521C22×C3×C16C2×C641128yes—
522C22×C3×C16C2×C8212yes—
523C22×C3×C16C2×C8214yes—
524C22×C3×C16C2×C8214yes—
525C22×C3×C16C42×C814yes—
526C22×C3×C16C2×C4×C1612yes—
527C22×C3×C16C2×C4×C1614yes—
528C22×C3×C16C2×C4×C1618yes—
529C22×C3×C16C2×C4×C16116yes—
530C22×C3×C16C22×C32116yes—
531C22×C3×C16C22×C32132yes—
532C22×C3×C16C22×C4×C812yes—
533C22×C3×C16C23×C1612yes—
534C2×C3×C4×C8C8×C1612yes—
535C2×C3×C4×C8C8×C1614yes—
536C2×C3×C4×C8C8×C1614yes—
537C2×C3×C4×C8C8×C1618yes—
538C2×C3×C4×C8C8×C16116yes—
539C2×C3×C4×C8C4×C3214yes—
540C2×C3×C4×C8C4×C3218yes—
541C2×C3×C4×C8C4×C3218yes—
542C2×C3×C4×C8C4×C32116yes—
543C2×C3×C4×C8C4×C32116yes—
544C2×C3×C4×C8C2×C64164yes—
545C2×C3×C4×C8C2×C8211yescharacteristic
546C2×C3×C4×C8C2×C8212yes—
547C2×C3×C4×C8C2×C8214yes—
548C2×C3×C4×C8C42×C812yes—
549C2×C3×C4×C8C2×C4×C1611yescharacteristic
550C2×C3×C4×C8C2×C4×C1611yescharacteristic
551C2×C3×C4×C8C2×C4×C1612yes—
552C2×C3×C4×C8C2×C4×C1612yes—
553C2×C3×C4×C8C2×C4×C1612yes—
554C2×C3×C4×C8C2×C4×C1612yes—
555C2×C3×C4×C8C2×C4×C1614yes—
556C2×C3×C4×C8C2×C4×C1614yes—
557C2×C3×C4×C8C2×C4×C1618yes—
558C2×C3×C4×C8C22×C3214yes—
559C2×C3×C4×C8C22×C3218yes—
560C2×C3×C4×C8C22×C32116yes—
561C2×C3×C4×C8C22×C4×C811yescharacteristic
562C2×C3×C4×C8C23×C1612yes—
563C3×C43C8×C1612yes—
564C3×C43C4×C3214yes—
565C3×C43C2×C4×C1612yes—
566C2×C3×C32C8×C16164yes—
567C2×C3×C32C4×C321128yes—
568C2×C3×C32C2×C82116yes—
569C2×C3×C32C42×C818yes—
570C2×C3×C32C2×C4×C16116yes—
571C2×C3×C32C2×C4×C16132yes—
572C2×C3×C32C2×C4×C16132yes—
573C2×C3×C32C2×C4×C16164yes—
574C2×C3×C32C22×C32164yes—
575C2×C3×C32C22×C4×C818yes—
576C2×C3×C32C23×C16116yes—
577C3×C4×C16C8×C1618yes—
578C3×C4×C16C8×C1618yes—
579C3×C4×C16C8×C16132yes—
580C3×C4×C16C4×C32132yes—
581C3×C4×C16C4×C32164yes—
582C3×C4×C16C2×C641256yesdirect product factor
583C3×C4×C16C2×C8212yes—
584C3×C4×C16C2×C8214yes—
585C3×C4×C16C2×C8214yes—
586C3×C4×C16C42×C812yes—
587C3×C4×C16C42×C812yes—
588C3×C4×C16C42×C814yes—
589C3×C4×C16C2×C4×C1612yes—
590C3×C4×C16C2×C4×C1614yes—
591C3×C4×C16C2×C4×C1614yes—
592C3×C4×C16C2×C4×C1614yes—
593C3×C4×C16C2×C4×C1618yes—
594C3×C4×C16C2×C4×C16132yes—
595C3×C4×C16C2×C4×C16132yes—
596C3×C4×C16C22×C32132yes—
597C3×C4×C16C22×C32132yes—
598C3×C4×C16C2×C4311yescharacteristic
599C3×C4×C16C22×C4×C811yescharacteristic
600C3×C4×C16C22×C4×C812yes—
601C3×C4×C16C22×C4×C812yes—
602C3×C4×C16C23×C1612yes—
603C3×C82C8×C1618yes—
604C3×C82C4×C32116yes—
605C3×C82C2×C8214yes—
606C3×C82C42×C812yes—
607C3×C82C2×C4×C1612yes—
608C3×C82C2×C4×C1614yes—
609C3×C82C2×C4×C1618yes—
610C3×C82C22×C32116yes—
611C3×C82C22×C4×C812yes—
612C3×C82C23×C1612yes—
613C3×C64C2×C4×C161128yesdirect product factor
614C23×C16C3×C8212yes—
615C23×C16C3×C4×C1612yes—
616C23×C16C2×C3×C32116yes—
617C23×C16C2×C3×C4×C812yes—
618C23×C16C22×C3×C1612yes—
619C22×C4×C8C3×C8212yes—
620C22×C4×C8C3×C4×C1611yescharacteristic
621C22×C4×C8C3×C4×C1612yes—
622C22×C4×C8C3×C4×C1612yes—
623C22×C4×C8C2×C3×C3218yes—
624C22×C4×C8C2×C3×C4×C811yescharacteristic
625C22×C4×C8C22×C3×C1612yes—
626C2×C43C3×C4×C1611yescharacteristic
627C22×C32C3×C82116yes—
628C22×C32C3×C4×C16132yes—
629C22×C32C3×C4×C16132yes—
630C22×C32C2×C3×C32164yes—
631C22×C32C2×C3×C4×C814yes—
632C22×C32C2×C3×C4×C818yes—
633C22×C32C2×C3×C4×C8116yes—
634C22×C32C22×C3×C16116yes—
635C22×C32C22×C3×C16132yes—
636C22×C32C23×C3×C814yes—
637C2×C4×C16C3×C641128yesdirect product factor
638C2×C4×C16C3×C8212yes—
639C2×C4×C16C3×C8214yes—
640C2×C4×C16C3×C8218yes—
641C2×C4×C16C3×C4×C1612yes—
642C2×C4×C16C3×C4×C1614yes—
643C2×C4×C16C3×C4×C1614yes—
644C2×C4×C16C3×C4×C1614yes—
645C2×C4×C16C3×C4×C1618yes—
646C2×C4×C16C3×C4×C16132yes—
647C2×C4×C16C3×C4×C16132yes—
648C2×C4×C16C2×C3×C32116yes—
649C2×C4×C16C2×C3×C32132yes—
650C2×C4×C16C2×C3×C32132yes—
651C2×C4×C16C2×C3×C32164yes—
652C2×C4×C16C3×C4312yes—
653C2×C4×C16C2×C3×C4×C811yescharacteristic
654C2×C4×C16C2×C3×C4×C811yescharacteristic
655C2×C4×C16C2×C3×C4×C812yes—
656C2×C4×C16C2×C3×C4×C812yes—
657C2×C4×C16C2×C3×C4×C812yes—
658C2×C4×C16C2×C3×C4×C812yes—
659C2×C4×C16C2×C3×C4×C814yes—
660C2×C4×C16C2×C3×C4×C814yes—
661C2×C4×C16C2×C3×C4×C818yes—
662C2×C4×C16C22×C3×C1612yes—
663C2×C4×C16C22×C3×C1614yes—
664C2×C4×C16C22×C3×C1618yes—
665C2×C4×C16C22×C3×C16116yes—
666C2×C4×C16C22×C3×C4211yescharacteristic
667C2×C4×C16C23×C3×C811yescharacteristic
668C42×C8C3×C8212yes—
669C42×C8C3×C4×C1612yes—
670C42×C8C3×C4×C1612yes—
671C42×C8C3×C4×C1614yes—
672C42×C8C2×C3×C3218yes—
673C42×C8C2×C3×C4×C812yes—
674C42×C8C22×C3×C1614yes—
675C2×C82C3×C8214yes—
676C2×C82C3×C4×C1612yes—
677C2×C82C3×C4×C1614yes—
678C2×C82C3×C4×C1614yes—
679C2×C82C2×C3×C32116yes—
680C2×C82C2×C3×C4×C811yescharacteristic
681C2×C82C2×C3×C4×C812yes—
682C2×C82C2×C3×C4×C814yes—
683C2×C82C22×C3×C1612yes—
684C2×C82C22×C3×C1614yes—
685C2×C82C22×C3×C1614yes—
686C2×C82C23×C3×C811yescharacteristic
687C2×C64C3×C4×C161256yesdirect product factor
688C2×C64C2×C3×C4×C8164yes—
689C2×C64C22×C3×C161128yes—
690C4×C32C3×C82116yes—
691C4×C32C3×C4×C16132yes—
692C4×C32C3×C4×C16164yes—
693C4×C32C2×C3×C321128yes—
694C4×C32C3×C4314yes—
695C4×C32C2×C3×C4×C814yes—
696C4×C32C2×C3×C4×C818yes—
697C4×C32C2×C3×C4×C818yes—
698C4×C32C2×C3×C4×C8116yes—
699C4×C32C2×C3×C4×C8116yes—
700C4×C32C22×C3×C16116yes—
701C4×C32C22×C3×C16164yes—
702C4×C32C22×C3×C4214yes—
703C4×C32C23×C3×C814yes—
704C8×C16C3×C8218yes—
705C8×C16C3×C4×C1618yes—
706C8×C16C3×C4×C1618yes—
707C8×C16C3×C4×C16132yes—
708C8×C16C2×C3×C32164yes—
709C8×C16C3×C4312yes—
710C8×C16C2×C3×C4×C812yes—
711C8×C16C2×C3×C4×C814yes—
712C8×C16C2×C3×C4×C814yes—
713C8×C16C2×C3×C4×C818yes—
714C8×C16C2×C3×C4×C8116yes—
715C8×C16C22×C3×C1618yes—
716C8×C16C22×C3×C1618yes—
717C8×C16C22×C3×C16116yes—
718C8×C16C22×C3×C4212yes—
719C8×C16C23×C3×C812yes—
720C23×C3×C4C8×C3214yes—
721C23×C3×C4C2×C8×C1611yescharacteristic
722C23×C3×C4C2×C4×C3212yes—
723C22×C3×C8C16218yes—
724C22×C3×C8C8×C3218yes—
725C22×C3×C8C8×C3218yes—
726C22×C3×C8C8×C32116yes—
727C22×C3×C8C4×C64132yes—
728C22×C3×C8C4×C8212yes—
729C22×C3×C8C2×C8×C1611yescharacteristic
730C22×C3×C8C2×C8×C1611yescharacteristic
731C22×C3×C8C2×C8×C1612yes—
732C22×C3×C8C2×C8×C1612yes—
733C22×C3×C8C2×C8×C1614yes—
734C22×C3×C8C2×C8×C1618yes—
735C22×C3×C8C42×C1612yes—
736C22×C3×C8C2×C4×C3214yes—
737C22×C3×C8C2×C4×C3218yes—
738C22×C3×C8C2×C4×C3218yes—
739C22×C3×C8C2×C4×C32116yes—
740C22×C3×C8C22×C64132yes—
741C22×C3×C8C22×C8211yescharacteristic
742C22×C3×C8C22×C4×C1611yescharacteristic
743C22×C3×C8C23×C3214yes—
744C2×C3×C42C16218yes—
745C2×C3×C42C8×C3214yes—
746C2×C3×C42C8×C3218yes—
747C2×C3×C42C8×C3218yes—
748C2×C3×C42C4×C64132yes—
749C2×C3×C42C2×C8×C1611yescharacteristic
750C2×C3×C42C2×C8×C1612yes—
751C2×C3×C42C2×C8×C1614yes—
752C2×C3×C42C42×C1612yes—
753C2×C3×C42C2×C4×C3212yes—
754C2×C3×C42C2×C4×C3214yes—
755C2×C3×C42C2×C4×C3218yes—
756C2×C3×C42C22×C4×C1611yescharacteristic
757C2×C3×C16C162132yes—
758C2×C3×C16C8×C32132yes—
759C2×C3×C16C4×C641256yesdirect product factor
760C2×C3×C16C4×C8214yes—
761C2×C3×C16C2×C8×C1618yes—
762C2×C3×C16C2×C8×C1618yes—
763C2×C3×C16C2×C8×C1618yes—
764C2×C3×C16C2×C8×C16116yes—
765C2×C3×C16C2×C8×C16116yes—
766C2×C3×C16C42×C1614yes—
767C2×C3×C16C42×C16116yes—
768C2×C3×C16C2×C4×C3218yes—
769C2×C3×C16C2×C4×C32116yes—
770C2×C3×C16C2×C4×C32132yes—
771C2×C3×C16C2×C4×C32164yes—
772C2×C3×C16C22×C641128yes—
773C2×C3×C16C22×C8212yes—
774C2×C3×C16C2×C42×C812yes—
775C2×C3×C16C22×C4×C1614yes—
776C2×C3×C16C22×C4×C1618yes—
777C2×C3×C16C23×C3218yes—
778C3×C4×C8C162116yes—
779C3×C4×C8C8×C3218yes—
780C3×C4×C8C8×C32116yes—
781C3×C4×C8C8×C32116yes—
782C3×C4×C8C4×C64164yes—
783C3×C4×C8C4×C8212yes—
784C3×C4×C8C2×C8×C1612yes—
785C3×C4×C8C2×C8×C1612yes—
786C3×C4×C8C2×C8×C1612yes—
787C3×C4×C8C2×C8×C1618yes—
788C3×C4×C8C2×C8×C16116yes—
789C3×C4×C8C42×C1612yes—
790C3×C4×C8C42×C1612yes—
791C3×C4×C8C42×C1614yes—
792C3×C4×C8C2×C4×C3214yes—
793C3×C4×C8C2×C4×C3218yes—
794C3×C4×C8C2×C4×C3218yes—
795C3×C4×C8C2×C4×C32116yes—
796C3×C4×C8C2×C4×C32116yes—
797C3×C4×C8C22×C64164yes—
798C3×C4×C8C22×C8211yescharacteristic
799C3×C4×C8C2×C42×C811yescharacteristic
800C3×C4×C8C22×C4×C1611yescharacteristic
801C3×C4×C8C22×C4×C1611yescharacteristic
802C3×C4×C8C22×C4×C1614yes—
803C3×C4×C8C23×C3214yes—
804C3×C32C2×C8×C16132yes—
805C3×C32C42×C16116yes—
806C3×C32C2×C4×C32164yes—
807C3×C32C22×C4×C16116yes—
808C23×C8C3×C8×C1612yes—
809C23×C8C3×C4×C3214yes—
810C23×C8C2×C3×C8211yescharacteristic
811C23×C8C2×C3×C4×C1611yescharacteristic
812C23×C8C22×C3×C3214yes—
813C22×C42C3×C8×C1612yes—
814C22×C42C3×C4×C3214yes—
815C22×C42C2×C3×C4×C1611yescharacteristic
816C22×C16C3×C8×C1618yes—
817C22×C16C3×C8×C1618yes—
818C22×C16C3×C8×C16116yes—
819C22×C16C3×C4×C32116yes—
820C22×C16C3×C4×C32164yes—
821C22×C16C2×C3×C641128yes—
822C22×C16C2×C3×C8212yes—
823C22×C16C2×C3×C8214yes—
824C22×C16C2×C3×C8214yes—
825C22×C16C3×C42×C814yes—
826C22×C16C2×C3×C4×C1612yes—
827C22×C16C2×C3×C4×C1614yes—
828C22×C16C2×C3×C4×C1618yes—
829C22×C16C2×C3×C4×C16116yes—
830C22×C16C22×C3×C32116yes—
831C22×C16C22×C3×C32132yes—
832C22×C16C22×C3×C4×C812yes—
833C22×C16C23×C3×C1612yes—
834C2×C4×C8C3×C8×C1612yes—
835C2×C4×C8C3×C8×C1614yes—
836C2×C4×C8C3×C8×C1614yes—
837C2×C4×C8C3×C8×C1618yes—
838C2×C4×C8C3×C8×C16116yes—
839C2×C4×C8C3×C4×C3214yes—
840C2×C4×C8C3×C4×C3218yes—
841C2×C4×C8C3×C4×C3218yes—
842C2×C4×C8C3×C4×C32116yes—
843C2×C4×C8C3×C4×C32116yes—
844C2×C4×C8C2×C3×C64164yes—
845C2×C4×C8C2×C3×C8211yescharacteristic
846C2×C4×C8C2×C3×C8212yes—
847C2×C4×C8C2×C3×C8214yes—
848C2×C4×C8C3×C42×C812yes—
849C2×C4×C8C2×C3×C4×C1611yescharacteristic
850C2×C4×C8C2×C3×C4×C1611yescharacteristic
851C2×C4×C8C2×C3×C4×C1612yes—
852C2×C4×C8C2×C3×C4×C1612yes—
853C2×C4×C8C2×C3×C4×C1612yes—
854C2×C4×C8C2×C3×C4×C1612yes—
855C2×C4×C8C2×C3×C4×C1614yes—
856C2×C4×C8C2×C3×C4×C1614yes—
857C2×C4×C8C2×C3×C4×C1618yes—
858C2×C4×C8C22×C3×C3214yes—
859C2×C4×C8C22×C3×C3218yes—
860C2×C4×C8C22×C3×C32116yes—
861C2×C4×C8C22×C3×C4×C811yescharacteristic
862C2×C4×C8C23×C3×C1612yes—
863C43C3×C8×C1612yes—
864C43C3×C4×C3214yes—
865C43C2×C3×C4×C1612yes—
866C2×C32C3×C8×C16164yes—
867C2×C32C3×C4×C321128yes—
868C2×C32C2×C3×C82116yes—
869C2×C32C3×C42×C818yes—
870C2×C32C2×C3×C4×C16116yes—
871C2×C32C2×C3×C4×C16132yes—
872C2×C32C2×C3×C4×C16132yes—
873C2×C32C2×C3×C4×C16164yes—
874C2×C32C22×C3×C32164yes—
875C2×C32C22×C3×C4×C818yes—
876C2×C32C23×C3×C16116yes—
877C4×C16C3×C8×C1618yes—
878C4×C16C3×C8×C1618yes—
879C4×C16C3×C8×C16132yes—
880C4×C16C3×C4×C32132yes—
881C4×C16C3×C4×C32164yes—
882C4×C16C2×C3×C641256yesdirect product factor
883C4×C16C2×C3×C8212yes—
884C4×C16C2×C3×C8214yes—
885C4×C16C2×C3×C8214yes—
886C4×C16C3×C42×C812yes—
887C4×C16C3×C42×C812yes—
888C4×C16C3×C42×C814yes—
889C4×C16C2×C3×C4×C1612yes—
890C4×C16C2×C3×C4×C1614yes—
891C4×C16C2×C3×C4×C1614yes—
892C4×C16C2×C3×C4×C1614yes—
893C4×C16C2×C3×C4×C1618yes—
894C4×C16C2×C3×C4×C16132yes—
895C4×C16C2×C3×C4×C16132yes—
896C4×C16C22×C3×C32132yes—
897C4×C16C22×C3×C32132yes—
898C4×C16C2×C3×C4311yescharacteristic
899C4×C16C22×C3×C4×C811yescharacteristic
900C4×C16C22×C3×C4×C812yes—
901C4×C16C22×C3×C4×C812yes—
902C4×C16C23×C3×C1612yes—
903C82C3×C8×C1618yes—
904C82C3×C4×C32116yes—
905C82C2×C3×C8214yes—
906C82C3×C42×C812yes—
907C82C2×C3×C4×C1612yes—
908C82C2×C3×C4×C1614yes—
909C82C2×C3×C4×C1618yes—
910C82C22×C3×C32116yes—
911C82C22×C3×C4×C812yes—
912C82C23×C3×C1612yes—
913C64C2×C3×C4×C161128yesdirect product factor
914C24×C3C2×C8×C3211yescharacteristic
915C22×C3×C4C16×C32116yes—
916C22×C3×C4C8×C64132yes—
917C22×C3×C4C2×C16214yes—
918C22×C3×C4C4×C8×C1612yes—
919C22×C3×C4C2×C8×C3211yescharacteristic
920C22×C3×C4C2×C8×C3212yes—
921C22×C3×C4C2×C8×C3212yes—
922C22×C3×C4C2×C8×C3214yes—
923C22×C3×C4C2×C8×C3214yes—
924C22×C3×C4C2×C8×C3218yes—
925C22×C3×C4C42×C3214yes—
926C22×C3×C4C2×C4×C64116yes—
927C22×C3×C4C22×C8×C1611yescharacteristic
928C22×C3×C4C22×C4×C3212yes—
929C2×C3×C8C16×C32132yes—
930C2×C3×C8C8×C64164yes—
931C2×C3×C8C2×C16214yes—
932C2×C3×C8C2×C16218yes—
933C2×C3×C8C2×C16218yes—
934C2×C3×C8C4×C8×C1612yes—
935C2×C3×C8C4×C8×C1612yes—
936C2×C3×C8C4×C8×C1618yes—
937C2×C3×C8C2×C8×C3214yes—
938C2×C3×C8C2×C8×C3218yes—
939C2×C3×C8C2×C8×C3218yes—
940C2×C3×C8C2×C8×C3218yes—
941C2×C3×C8C2×C8×C32116yes—
942C2×C3×C8C42×C3218yes—
943C2×C3×C8C42×C3218yes—
944C2×C3×C8C2×C4×C64116yes—
945C2×C3×C8C2×C4×C64132yes—
946C2×C3×C8C2×C4×C64164yes—
947C2×C3×C8C2×C4×C8211yescharacteristic
948C2×C3×C8C22×C8×C1611yescharacteristic
949C2×C3×C8C22×C8×C1611yescharacteristic
950C2×C3×C8C22×C8×C1614yes—
951C2×C3×C8C2×C42×C1611yescharacteristic
952C2×C3×C8C22×C4×C3214yes—
953C2×C3×C8C22×C4×C3218yes—
954C2×C3×C8C23×C64116yes—
955C3×C42C16×C32116yes—
956C3×C42C8×C64132yes—
957C3×C42C2×C16218yes—
958C3×C42C4×C8×C1612yes—
959C3×C42C2×C8×C3212yes—
960C3×C42C2×C8×C3214yes—
961C3×C42C2×C8×C3218yes—
962C3×C42C42×C3214yes—
963C3×C42C2×C4×C64132yes—
964C3×C42C22×C8×C1611yescharacteristic
965C3×C42C2×C42×C1611yescharacteristic
966C3×C42C22×C4×C3212yes—
967C3×C16C2×C162116yes—
968C3×C16C4×C8×C1618yes—
969C3×C16C2×C8×C32116yes—
970C3×C16C42×C3218yes—
971C3×C16C2×C4×C641128yesdirect product factor
972C3×C16C22×C8×C1614yes—
973C3×C16C2×C42×C1614yes—
974C3×C16C22×C4×C3218yes—
975C23×C4C3×C8×C3214yes—
976C23×C4C2×C3×C8×C1611yescharacteristic
977C23×C4C2×C3×C4×C3212yes—
978C22×C8C3×C16218yes—
979C22×C8C3×C8×C3218yes—
980C22×C8C3×C8×C3218yes—
981C22×C8C3×C8×C32116yes—
982C22×C8C3×C4×C64132yes—
983C22×C8C3×C4×C8212yes—
984C22×C8C2×C3×C8×C1611yescharacteristic
985C22×C8C2×C3×C8×C1611yescharacteristic
986C22×C8C2×C3×C8×C1612yes—
987C22×C8C2×C3×C8×C1612yes—
988C22×C8C2×C3×C8×C1614yes—
989C22×C8C2×C3×C8×C1618yes—
990C22×C8C3×C42×C1612yes—
991C22×C8C2×C3×C4×C3214yes—
992C22×C8C2×C3×C4×C3218yes—
993C22×C8C2×C3×C4×C3218yes—
994C22×C8C2×C3×C4×C32116yes—
995C22×C8C22×C3×C64132yes—
996C22×C8C22×C3×C8211yescharacteristic
997C22×C8C22×C3×C4×C1611yescharacteristic
998C22×C8C23×C3×C3214yes—
999C2×C42C3×C16218yes—
1000C2×C42C3×C8×C3214yes—
1001C2×C42C3×C8×C3218yes—
1002C2×C42C3×C8×C3218yes—
1003C2×C42C3×C4×C64132yes—
1004C2×C42C2×C3×C8×C1611yescharacteristic
1005C2×C42C2×C3×C8×C1612yes—
1006C2×C42C2×C3×C8×C1614yes—
1007C2×C42C3×C42×C1612yes—
1008C2×C42C2×C3×C4×C3212yes—
1009C2×C42C2×C3×C4×C3214yes—
1010C2×C42C2×C3×C4×C3218yes—
1011C2×C42C22×C3×C4×C1611yescharacteristic
1012C2×C16C3×C162132yes—
1013C2×C16C3×C8×C32132yes—
1014C2×C16C3×C4×C641256yesdirect product factor
1015C2×C16C3×C4×C8214yes—
1016C2×C16C2×C3×C8×C1618yes—
1017C2×C16C2×C3×C8×C1618yes—
1018C2×C16C2×C3×C8×C1618yes—
1019C2×C16C2×C3×C8×C16116yes—
1020C2×C16C2×C3×C8×C16116yes—
1021C2×C16C3×C42×C1614yes—
1022C2×C16C3×C42×C16116yes—
1023C2×C16C2×C3×C4×C3218yes—
1024C2×C16C2×C3×C4×C32116yes—
1025C2×C16C2×C3×C4×C32132yes—
1026C2×C16C2×C3×C4×C32164yes—
1027C2×C16C22×C3×C641128yes—
1028C2×C16C22×C3×C8212yes—
1029C2×C16C2×C3×C42×C812yes—
1030C2×C16C22×C3×C4×C1614yes—
1031C2×C16C22×C3×C4×C1618yes—
1032C2×C16C23×C3×C3218yes—
1033C4×C8C3×C162116yes—
1034C4×C8C3×C8×C3218yes—
1035C4×C8C3×C8×C32116yes—
1036C4×C8C3×C8×C32116yes—
1037C4×C8C3×C4×C64164yes—
1038C4×C8C3×C4×C8212yes—
1039C4×C8C2×C3×C8×C1612yes—
1040C4×C8C2×C3×C8×C1612yes—
1041C4×C8C2×C3×C8×C1612yes—
1042C4×C8C2×C3×C8×C1618yes—
1043C4×C8C2×C3×C8×C16116yes—
1044C4×C8C3×C42×C1612yes—
1045C4×C8C3×C42×C1612yes—
1046C4×C8C3×C42×C1614yes—
1047C4×C8C2×C3×C4×C3214yes—
1048C4×C8C2×C3×C4×C3218yes—
1049C4×C8C2×C3×C4×C3218yes—
1050C4×C8C2×C3×C4×C32116yes—
1051C4×C8C2×C3×C4×C32116yes—
1052C4×C8C22×C3×C64164yes—
1053C4×C8C22×C3×C8211yescharacteristic
1054C4×C8C2×C3×C42×C811yescharacteristic
1055C4×C8C22×C3×C4×C1611yescharacteristic
1056C4×C8C22×C3×C4×C1611yescharacteristic
1057C4×C8C22×C3×C4×C1614yes—
1058C4×C8C23×C3×C3214yes—
1059C32C2×C3×C8×C16132yes—
1060C32C3×C42×C16116yes—
1061C32C2×C3×C4×C32164yes—
1062C32C22×C3×C4×C16116yes—
1063C23×C3C2×C8×C6418yes—
1064C23×C3C2×C16×C3214yes—
1065C23×C3C4×C8×C3212yes—
1066C23×C3C22×C8×C3211yescharacteristic
1067C2×C3×C4C16×C64164yesdirect product factor
1068C2×C3×C4C42×C64116yes—
1069C2×C3×C4C2×C8×C6418yes—
1070C2×C3×C4C2×C8×C64116yes—
1071C2×C3×C4C2×C8×C64132yes—
1072C2×C3×C4C22×C4×C6418yes—
1073C2×C3×C4C2×C16×C3214yes—
1074C2×C3×C4C2×C16×C3218yes—
1075C2×C3×C4C2×C16×C32116yes—
1076C2×C3×C4C4×C8×C3212yes—
1077C2×C3×C4C4×C8×C3214yes—
1078C2×C3×C4C4×C8×C3214yes—
1079C2×C3×C4C22×C8×C3211yescharacteristic
1080C2×C3×C4C22×C8×C3212yes—
1081C2×C3×C4C22×C8×C3212yes—
1082C2×C3×C4C2×C42×C3212yes—
1083C2×C3×C4C4×C16214yes—
1084C2×C3×C4C22×C16212yes—
1085C2×C3×C4C2×C4×C8×C1611yescharacteristic
1086C3×C8C42×C64116yes—
1087C3×C8C2×C8×C64132yes—
1088C3×C8C22×C4×C64116yes—
1089C3×C8C2×C16×C32116yes—
1090C3×C8C4×C8×C3214yes—
1091C3×C8C22×C8×C3212yes—
1092C3×C8C2×C42×C3212yes—
1093C3×C8C4×C16214yes—
1094C3×C8C22×C16212yes—
1095C3×C8C2×C4×C8×C1612yes—
1096C24C2×C3×C8×C3211yescharacteristic
1097C22×C4C3×C8×C64132yes—
1098C22×C4C2×C3×C4×C64116yes—
1099C22×C4C3×C16×C32116yes—
1100C22×C4C2×C3×C8×C3211yescharacteristic
1101C22×C4C2×C3×C8×C3212yes—
1102C22×C4C2×C3×C8×C3212yes—
1103C22×C4C2×C3×C8×C3214yes—
1104C22×C4C2×C3×C8×C3214yes—
1105C22×C4C2×C3×C8×C3218yes—
1106C22×C4C3×C42×C3214yes—
1107C22×C4C22×C3×C4×C3212yes—
1108C22×C4C2×C3×C16214yes—
1109C22×C4C3×C4×C8×C1612yes—
1110C22×C4C22×C3×C8×C1611yescharacteristic
1111C2×C8C3×C8×C64164yes—
1112C2×C8C23×C3×C64116yes—
1113C2×C8C2×C3×C4×C64116yes—
1114C2×C8C2×C3×C4×C64132yes—
1115C2×C8C2×C3×C4×C64164yes—
1116C2×C8C3×C16×C32132yes—
1117C2×C8C2×C3×C8×C3214yes—
1118C2×C8C2×C3×C8×C3218yes—
1119C2×C8C2×C3×C8×C3218yes—
1120C2×C8C2×C3×C8×C3218yes—
1121C2×C8C2×C3×C8×C32116yes—
1122C2×C8C3×C42×C3218yes—
1123C2×C8C3×C42×C3218yes—
1124C2×C8C22×C3×C4×C3214yes—
1125C2×C8C22×C3×C4×C3218yes—
1126C2×C8C2×C3×C16214yes—
1127C2×C8C2×C3×C16218yes—
1128C2×C8C2×C3×C16218yes—
1129C2×C8C3×C4×C8×C1612yes—
1130C2×C8C3×C4×C8×C1612yes—
1131C2×C8C3×C4×C8×C1618yes—
1132C2×C8C22×C3×C8×C1611yescharacteristic
1133C2×C8C22×C3×C8×C1611yescharacteristic
1134C2×C8C22×C3×C8×C1614yes—
1135C2×C8C2×C3×C42×C1611yescharacteristic
1136C2×C8C2×C3×C4×C8211yescharacteristic
1137C42C3×C8×C64132yes—
1138C42C2×C3×C4×C64132yes—
1139C42C3×C16×C32116yes—
1140C42C2×C3×C8×C3212yes—
1141C42C2×C3×C8×C3214yes—
1142C42C2×C3×C8×C3218yes—
1143C42C3×C42×C3214yes—
1144C42C22×C3×C4×C3212yes—
1145C42C2×C3×C16218yes—
1146C42C3×C4×C8×C1612yes—
1147C42C22×C3×C8×C1611yescharacteristic
1148C42C2×C3×C42×C1611yescharacteristic
1149C16C2×C3×C4×C641128yesdirect product factor
1150C16C2×C3×C8×C32116yes—
1151C16C3×C42×C3218yes—
1152C16C22×C3×C4×C3218yes—
1153C16C2×C3×C162116yes—
1154C16C3×C4×C8×C1618yes—
1155C16C22×C3×C8×C1614yes—
1156C16C2×C3×C42×C1614yes—
1157C22×C3C2×C16×C64116yes—
1158C22×C3C4×C8×C6418yes—
1159C22×C3C22×C8×C6414yes—
1160C22×C3C22×C16×C3212yes—
1161C22×C3C4×C16×C3214yes—
1162C22×C3C2×C4×C8×C3211yescharacteristic
1163C3×C4C2×C16×C64132yesdirect product factor
1164C3×C4C4×C8×C6418yes—
1165C3×C4C22×C8×C6414yes—
1166C3×C4C2×C42×C6414yes—
1167C3×C4C22×C16×C3212yes—
1168C3×C4C4×C16×C3214yes—
1169C3×C4C2×C4×C8×C3211yescharacteristic
1170C3×C4C2×C4×C16211yescharacteristic
1171C23C2×C3×C8×C6418yes—
1172C23C2×C3×C16×C3214yes—
1173C23C3×C4×C8×C3212yes—
1174C23C22×C3×C8×C3211yescharacteristic
1175C2×C4C3×C16×C64164yesdirect product factor
1176C2×C4C2×C3×C8×C6418yes—
1177C2×C4C2×C3×C8×C64116yes—
1178C2×C4C2×C3×C8×C64132yes—
1179C2×C4C3×C42×C64116yes—
1180C2×C4C22×C3×C4×C6418yes—
1181C2×C4C2×C3×C16×C3214yes—
1182C2×C4C2×C3×C16×C3218yes—
1183C2×C4C2×C3×C16×C32116yes—
1184C2×C4C3×C4×C8×C3212yes—
1185C2×C4C3×C4×C8×C3214yes—
1186C2×C4C3×C4×C8×C3214yes—
1187C2×C4C22×C3×C8×C3211yescharacteristic
1188C2×C4C22×C3×C8×C3212yes—
1189C2×C4C22×C3×C8×C3212yes—
1190C2×C4C2×C3×C42×C3212yes—
1191C2×C4C3×C4×C16214yes—
1192C2×C4C22×C3×C16212yes—
1193C2×C4C2×C3×C4×C8×C1611yescharacteristic
1194C8C2×C3×C8×C64132yes—
1195C8C3×C42×C64116yes—
1196C8C22×C3×C4×C64116yes—
1197C8C2×C3×C16×C32116yes—
1198C8C3×C4×C8×C3214yes—
1199C8C22×C3×C8×C3212yes—
1200C8C2×C3×C42×C3212yes—
1201C8C3×C4×C16214yes—
1202C8C22×C3×C16212yes—
1203C8C2×C3×C4×C8×C1612yes—
1204C2×C3C4×C16×C6418yesdirect product factor
1205C2×C3C22×C16×C6414yes—
1206C2×C3C2×C4×C8×C6412yes—
1207C2×C3C2×C4×C16×C3211yescharacteristic
1208C22C2×C3×C16×C64116yes—
1209C22C3×C4×C8×C6418yes—
1210C22C22×C3×C8×C6414yes—
1211C22C22×C3×C16×C3212yes—
1212C22C3×C4×C16×C3214yes—
1213C22C2×C3×C4×C8×C3211yescharacteristic
1214C4C2×C3×C16×C64132yesdirect product factor
1215C4C3×C4×C8×C6418yes—
1216C4C22×C3×C8×C6414yes—
1217C4C2×C3×C42×C6414yes—
1218C4C22×C3×C16×C3212yes—
1219C4C3×C4×C16×C3214yes—
1220C4C2×C3×C4×C8×C3211yescharacteristic
1221C4C2×C3×C4×C16211yescharacteristic
1222C3C2×C4×C16×C6411yescharacteristic, direct product factor, Sylow
1223C2C3×C4×C16×C6418yesdirect product factor
1224C2C22×C3×C16×C6414yes—
1225C2C2×C3×C4×C8×C6412yes—
1226C2C2×C3×C4×C16×C3211yescharacteristic
subgroupG/H
centerGC1
commutatorC1G
Frattini, cosocleC2×C8×C32C24×C3
socle, prime radicalC24×C3C2×C8×C32
LCSG ▷ C1
UCSC1 ◁ G

Complements

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

NH ≅ G/Ntype
4. C3×C4×C16×C64C2direct (N × H)
5. C2×C4×C16×C64C3direct (N × H)
18. C2×C3×C16×C64C4direct (N × H)
23. C4×C16×C64C2×C3direct (N × H)
56. C3×C16×C64C2×C4direct (N × H)
69. C2×C16×C64C3×C4direct (N × H)
122. C2×C3×C4×C64C16direct (N × H)
164. C16×C64C2×C3×C4direct (N × H)
235. C3×C4×C64C2×C16direct (N × H)
269. C2×C4×C64C3×C16direct (N × H)
337. C2×C3×C4×C16C64direct (N × H)
387. C2×C3×C64C4×C16direct (N × H)
490. C4×C64C2×C3×C16direct (N × H)
582. C3×C4×C16C2×C64direct (N × H)
613. C3×C64C2×C4×C16direct (N × H)
637. C2×C4×C16C3×C64direct (N × H)
687. C2×C64C3×C4×C16direct (N × H)
759. C2×C3×C16C4×C64direct (N × H)
882. C4×C16C2×C3×C64direct (N × H)
913. C64C2×C3×C4×C16direct (N × H)
971. C3×C16C2×C4×C64direct (N × H)
1014. C2×C16C3×C4×C64direct (N × H)
1067. C2×C3×C4C16×C64direct (N × H)
1149. C16C2×C3×C4×C64direct (N × H)
1163. C3×C4C2×C16×C64direct (N × H)
1175. C2×C4C3×C16×C64direct (N × H)
1204. C2×C3C4×C16×C64direct (N × H)
1214. C4C2×C3×C16×C64direct (N × H)
1222. C3C2×C4×C16×C64direct (N × H)
1223. C2C3×C4×C16×C64direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C3×C4×C16×C322
C2×C3×C4×C8×C642
C22×C3×C16×C642
C3×C4×C16×C642
C2×C4×C16×C643