Finite Group Databasebeta

← C2×C3×C4×C8×C128 #72201837

Subgroups — C2×C3×C4×C8×C128 #72201837

Order 24576.

11036 conjugacy classes of subgroups.

The subgroup lattice has 1080 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C3×C4×C8×C64C211yesmaximal, characteristic
2C2×C3×C42×C128C212yesmaximal
3C22×C3×C8×C128C214yesmaximal
4C3×C4×C8×C128C218yesmaximal, direct product factor
5C2×C4×C8×C128C311yesmaximal, characteristic, direct product factor, Sylow
6C2×C3×C4×C8×C32C411yescharacteristic
7C2×C3×C42×C64C411yescharacteristic
8C2×C3×C42×C64C2211yescharacteristic
9C22×C3×C8×C64C412yes—
10C22×C3×C8×C64C2212yes—
11C3×C4×C8×C64C414yes—
12C3×C4×C8×C64C2214yes—
13C22×C3×C4×C128C418yes—
14C22×C3×C4×C128C2214yes—
15C3×C42×C128C418yes—
16C3×C42×C128C2218yes—
17C2×C3×C8×C128C4132yesdirect product factor
18C2×C3×C8×C128C22116yes—
19C2×C4×C8×C64C2×C311yescharacteristic
20C2×C42×C128C2×C312yes—
21C22×C8×C128C2×C314yes—
22C4×C8×C128C2×C318yesdirect product factor
23C2×C3×C4×C8×C16C811yescharacteristic
24C2×C3×C42×C32C811yescharacteristic
25C2×C3×C42×C32C2×C411yescharacteristic
26C22×C3×C8×C32C812yes—
27C22×C3×C8×C32C2×C412yes—
28C3×C4×C8×C32C814yes—
29C3×C4×C8×C32C2×C414yes—
30C22×C3×C4×C64C814yes—
31C22×C3×C4×C64C2×C411yescharacteristic
32C22×C3×C4×C64C2×C412yes—
33C22×C3×C4×C64C2×C414yes—
34C22×C3×C4×C64C2311yescharacteristic
35C3×C42×C64C814yes—
36C3×C42×C64C2×C412yes—
37C3×C42×C64C2×C414yes—
38C3×C42×C64C2×C414yes—
39C3×C42×C64C2312yes—
40C2×C3×C8×C64C8116yes—
41C2×C3×C8×C64C2×C414yes—
42C2×C3×C8×C64C2×C418yes—
43C2×C3×C8×C64C2×C4116yes—
44C2×C3×C8×C64C2314yes—
45C2×C3×C4×C128C8164yesdirect product factor
46C2×C3×C4×C128C2×C418yes—
47C2×C3×C4×C128C2×C4132yes—
48C2×C3×C4×C128C2×C4132yes—
49C2×C3×C4×C128C2318yes—
50C23×C3×C128C2×C418yes—
51C3×C8×C128C2×C4164yesdirect product factor
52C2×C4×C8×C32C3×C411yescharacteristic
53C2×C42×C64C3×C411yescharacteristic
54C2×C42×C64C22×C311yescharacteristic
55C22×C8×C64C3×C412yes—
56C22×C8×C64C22×C312yes—
57C4×C8×C64C3×C414yes—
58C4×C8×C64C22×C314yes—
59C22×C4×C128C3×C418yes—
60C22×C4×C128C22×C314yes—
61C2×C8×C128C3×C4132yesdirect product factor
62C2×C8×C128C22×C3116yes—
63C42×C128C3×C418yes—
64C42×C128C22×C318yes—
65C2×C3×C4×C82C1611yescharacteristic
66C2×C3×C42×C16C1611yescharacteristic
67C2×C3×C42×C16C2×C811yescharacteristic
68C22×C3×C8×C16C1612yes—
69C22×C3×C8×C16C2×C812yes—
70C3×C4×C8×C16C1614yes—
71C3×C4×C8×C16C2×C814yes—
72C22×C3×C4×C32C1614yes—
73C22×C3×C4×C32C4212yes—
74C22×C3×C4×C32C2×C811yescharacteristic
75C22×C3×C4×C32C2×C812yes—
76C22×C3×C4×C32C2×C812yes—
77C22×C3×C4×C32C22×C411yescharacteristic
78C3×C42×C32C1614yes—
79C3×C42×C32C4212yes—
80C3×C42×C32C2×C812yes—
81C3×C42×C32C2×C812yes—
82C3×C42×C32C2×C814yes—
83C3×C42×C32C22×C412yes—
84C2×C3×C8×C32C16116yes—
85C2×C3×C8×C32C4218yes—
86C2×C3×C8×C32C2×C814yes—
87C2×C3×C8×C32C2×C818yes—
88C2×C3×C8×C32C2×C818yes—
89C2×C3×C8×C32C22×C414yes—
90C2×C3×C4×C64C16132yes—
91C2×C3×C4×C64C4212yes—
92C2×C3×C4×C64C4218yes—
93C2×C3×C4×C64C4218yes—
94C2×C3×C4×C64C2×C814yes—
95C2×C3×C4×C64C2×C818yes—
96C2×C3×C4×C64C2×C818yes—
97C2×C3×C4×C64C2×C8116yes—
98C2×C3×C4×C64C2×C8132yes—
99C2×C3×C4×C64C22×C411yescharacteristic
100C2×C3×C4×C64C22×C412yes—
101C2×C3×C4×C64C22×C412yes—
102C2×C3×C4×C64C22×C414yes—
103C2×C3×C4×C64C22×C418yes—
104C2×C3×C4×C64C22×C418yes—
105C2×C3×C4×C64C2411yescharacteristic
106C23×C3×C64C4212yes—
107C23×C3×C64C2×C814yes—
108C23×C3×C64C22×C412yes—
109C22×C3×C128C42132yes—
110C22×C3×C128C2×C8164yes—
111C22×C3×C128C22×C4116yes—
112C3×C8×C64C42116yes—
113C3×C8×C64C2×C8132yes—
114C3×C8×C64C22×C4116yes—
115C3×C4×C128C42132yes—
116C3×C4×C128C2×C81128yesdirect product factor
117C3×C4×C128C22×C4132yes—
118C2×C4×C8×C16C3×C811yescharacteristic
119C2×C42×C32C3×C811yescharacteristic
120C2×C42×C32C2×C3×C411yescharacteristic
121C22×C8×C32C3×C812yes—
122C22×C8×C32C2×C3×C412yes—
123C4×C8×C32C3×C814yes—
124C4×C8×C32C2×C3×C414yes—
125C22×C4×C64C3×C814yes—
126C22×C4×C64C2×C3×C411yescharacteristic
127C22×C4×C64C2×C3×C412yes—
128C22×C4×C64C2×C3×C414yes—
129C22×C4×C64C23×C311yescharacteristic
130C2×C8×C64C3×C8116yes—
131C2×C8×C64C2×C3×C414yes—
132C2×C8×C64C2×C3×C418yes—
133C2×C8×C64C2×C3×C4116yes—
134C2×C8×C64C23×C314yes—
135C42×C64C3×C814yes—
136C42×C64C2×C3×C412yes—
137C42×C64C2×C3×C414yes—
138C42×C64C2×C3×C414yes—
139C42×C64C23×C312yes—
140C23×C128C2×C3×C418yes—
141C2×C4×C128C3×C8164yesdirect product factor
142C2×C4×C128C2×C3×C418yes—
143C2×C4×C128C2×C3×C4132yes—
144C2×C4×C128C2×C3×C4132yes—
145C2×C4×C128C23×C318yes—
146C8×C128C2×C3×C4164yesdirect product factor
147C23×C3×C32C4×C812yes—
148C23×C3×C32C2×C1614yes—
149C23×C3×C32C2×C4211yescharacteristic
150C23×C3×C32C22×C811yescharacteristic
151C22×C3×C4×C16C3214yes—
152C22×C3×C4×C16C4×C812yes—
153C22×C3×C4×C16C2×C1611yescharacteristic
154C22×C3×C4×C16C2×C1612yes—
155C22×C3×C4×C16C2×C1612yes—
156C22×C3×C4×C16C22×C811yescharacteristic
157C2×C3×C42×C8C3212yes—
158C2×C3×C42×C8C2×C1611yescharacteristic
159C22×C3×C82C3212yes—
160C22×C3×C82C2×C1612yes—
161C22×C3×C64C4×C818yes—
162C22×C3×C64C4×C8116yes—
163C22×C3×C64C4×C8116yes—
164C22×C3×C64C2×C16132yes—
165C22×C3×C64C2×C4212yes—
166C22×C3×C64C2×C4214yes—
167C22×C3×C64C2×C4218yes—
168C22×C3×C64C22×C818yes—
169C22×C3×C64C22×C8116yes—
170C22×C3×C64C23×C412yes—
171C2×C3×C4×C32C32132yes—
172C2×C3×C4×C32C4×C812yes—
173C2×C3×C4×C32C4×C814yes—
174C2×C3×C4×C32C4×C814yes—
175C2×C3×C4×C32C4×C818yes—
176C2×C3×C4×C32C4×C8116yes—
177C2×C3×C4×C32C2×C1614yes—
178C2×C3×C4×C32C2×C1618yes—
179C2×C3×C4×C32C2×C1618yes—
180C2×C3×C4×C32C2×C16116yes—
181C2×C3×C4×C32C2×C16116yes—
182C2×C3×C4×C32C2×C4211yescharacteristic
183C2×C3×C4×C32C2×C4214yes—
184C2×C3×C4×C32C2×C4214yes—
185C2×C3×C4×C32C22×C811yescharacteristic
186C2×C3×C4×C32C22×C811yescharacteristic
187C2×C3×C4×C32C22×C812yes—
188C2×C3×C4×C32C22×C814yes—
189C2×C3×C4×C32C22×C814yes—
190C2×C3×C4×C32C22×C814yes—
191C2×C3×C4×C32C23×C411yescharacteristic
192C3×C42×C16C3214yes—
193C3×C42×C16C4×C812yes—
194C3×C42×C16C2×C1612yes—
195C3×C42×C16C2×C1612yes—
196C3×C42×C16C2×C1614yes—
197C3×C42×C16C22×C812yes—
198C2×C3×C8×C16C32116yes—
199C2×C3×C8×C16C4×C818yes—
200C2×C3×C8×C16C2×C1614yes—
201C2×C3×C8×C16C2×C1618yes—
202C2×C3×C8×C16C2×C1618yes—
203C2×C3×C8×C16C22×C814yes—
204C3×C4×C82C3214yes—
205C3×C4×C82C2×C1614yes—
206C2×C3×C128C4×C81128yesdirect product factor
207C2×C3×C128C2×C42132yes—
208C2×C3×C128C22×C8164yes—
209C3×C4×C64C4×C818yes—
210C3×C4×C64C4×C8116yes—
211C3×C4×C64C4×C8132yes—
212C3×C4×C64C2×C16164yes—
213C3×C4×C64C2×C4214yes—
214C3×C4×C64C2×C4218yes—
215C3×C4×C64C2×C4218yes—
216C3×C4×C64C22×C818yes—
217C3×C4×C64C22×C818yes—
218C3×C4×C64C22×C8132yes—
219C3×C4×C64C23×C414yes—
220C3×C8×C32C4×C8116yes—
221C3×C8×C32C2×C16132yes—
222C3×C8×C32C2×C4218yes—
223C3×C8×C32C22×C818yes—
224C23×C64C3×C4212yes—
225C23×C64C2×C3×C814yes—
226C23×C64C22×C3×C412yes—
227C22×C4×C32C3×C1614yes—
228C22×C4×C32C3×C4212yes—
229C22×C4×C32C2×C3×C811yescharacteristic
230C22×C4×C32C2×C3×C812yes—
231C22×C4×C32C2×C3×C812yes—
232C22×C4×C32C22×C3×C411yescharacteristic
233C2×C42×C16C3×C1611yescharacteristic
234C2×C42×C16C2×C3×C811yescharacteristic
235C22×C8×C16C3×C1612yes—
236C22×C8×C16C2×C3×C812yes—
237C2×C4×C82C3×C1611yescharacteristic
238C22×C128C3×C42132yes—
239C22×C128C2×C3×C8164yes—
240C22×C128C22×C3×C4116yes—
241C2×C4×C64C3×C16132yes—
242C2×C4×C64C3×C4212yes—
243C2×C4×C64C3×C4218yes—
244C2×C4×C64C3×C4218yes—
245C2×C4×C64C2×C3×C814yes—
246C2×C4×C64C2×C3×C818yes—
247C2×C4×C64C2×C3×C818yes—
248C2×C4×C64C2×C3×C8116yes—
249C2×C4×C64C2×C3×C8132yes—
250C2×C4×C64C22×C3×C411yescharacteristic
251C2×C4×C64C22×C3×C412yes—
252C2×C4×C64C22×C3×C412yes—
253C2×C4×C64C22×C3×C414yes—
254C2×C4×C64C22×C3×C418yes—
255C2×C4×C64C22×C3×C418yes—
256C2×C4×C64C24×C311yescharacteristic
257C42×C32C3×C1614yes—
258C42×C32C3×C4212yes—
259C42×C32C2×C3×C812yes—
260C42×C32C2×C3×C812yes—
261C42×C32C2×C3×C814yes—
262C42×C32C22×C3×C412yes—
263C2×C8×C32C3×C16116yes—
264C2×C8×C32C3×C4218yes—
265C2×C8×C32C2×C3×C814yes—
266C2×C8×C32C2×C3×C818yes—
267C2×C8×C32C2×C3×C818yes—
268C2×C8×C32C22×C3×C414yes—
269C4×C8×C16C3×C1614yes—
270C4×C8×C16C2×C3×C814yes—
271C4×C128C3×C42132yes—
272C4×C128C2×C3×C81128yesdirect product factor
273C4×C128C22×C3×C4132yes—
274C8×C64C3×C42116yes—
275C8×C64C2×C3×C8132yes—
276C8×C64C22×C3×C4116yes—
277C23×C3×C16C4×C1612yes—
278C23×C3×C16C2×C3214yes—
279C23×C3×C16C2×C4×C811yescharacteristic
280C23×C3×C16C22×C1611yescharacteristic
281C22×C3×C4×C8C6418yes—
282C22×C3×C4×C8C4×C1612yes—
283C22×C3×C4×C8C2×C3211yescharacteristic
284C22×C3×C4×C8C2×C3212yes—
285C22×C3×C4×C8C2×C3214yes—
286C22×C3×C4×C8C22×C1611yescharacteristic
287C2×C3×C43C2×C3211yescharacteristic
288C22×C3×C32C8218yes—
289C22×C3×C32C4×C1618yes—
290C22×C3×C32C4×C1618yes—
291C22×C3×C32C4×C16116yes—
292C22×C3×C32C2×C32132yes—
293C22×C3×C32C4312yes—
294C22×C3×C32C2×C4×C811yescharacteristic
295C22×C3×C32C2×C4×C811yescharacteristic
296C22×C3×C32C2×C4×C812yes—
297C22×C3×C32C2×C4×C814yes—
298C22×C3×C32C2×C4×C814yes—
299C22×C3×C32C2×C4×C818yes—
300C22×C3×C32C22×C1618yes—
301C22×C3×C32C22×C1618yes—
302C22×C3×C32C22×C4211yescharacteristic
303C22×C3×C32C23×C811yescharacteristic
304C2×C3×C4×C16C64132yes—
305C2×C3×C4×C16C8218yes—
306C2×C3×C4×C16C4×C1612yes—
307C2×C3×C4×C16C4×C1614yes—
308C2×C3×C4×C16C4×C1614yes—
309C2×C3×C4×C16C4×C1618yes—
310C2×C3×C4×C16C4×C1618yes—
311C2×C3×C4×C16C2×C3214yes—
312C2×C3×C4×C16C2×C3218yes—
313C2×C3×C4×C16C2×C3218yes—
314C2×C3×C4×C16C2×C32116yes—
315C2×C3×C4×C16C2×C32116yes—
316C2×C3×C4×C16C2×C4×C811yescharacteristic
317C2×C3×C4×C16C2×C4×C814yes—
318C2×C3×C4×C16C2×C4×C814yes—
319C2×C3×C4×C16C22×C1611yescharacteristic
320C2×C3×C4×C16C22×C1611yescharacteristic
321C2×C3×C4×C16C22×C1612yes—
322C2×C3×C4×C16C22×C1614yes—
323C2×C3×C4×C16C22×C1614yes—
324C2×C3×C4×C16C22×C1614yes—
325C2×C3×C4×C16C23×C811yescharacteristic
326C3×C42×C8C6418yes—
327C3×C42×C8C4×C1612yes—
328C3×C42×C8C2×C3212yes—
329C3×C42×C8C2×C3212yes—
330C3×C42×C8C2×C3218yes—
331C3×C42×C8C22×C1612yes—
332C2×C3×C82C64116yes—
333C2×C3×C82C4×C1618yes—
334C2×C3×C82C2×C3214yes—
335C2×C3×C82C2×C3218yes—
336C2×C3×C82C2×C3218yes—
337C2×C3×C82C22×C1614yes—
338C2×C3×C64C82132yes—
339C2×C3×C64C4×C16164yes—
340C2×C3×C64C4314yes—
341C2×C3×C64C2×C4×C818yes—
342C2×C3×C64C2×C4×C818yes—
343C2×C3×C64C2×C4×C8116yes—
344C2×C3×C64C2×C4×C8116yes—
345C2×C3×C64C2×C4×C8132yes—
346C2×C3×C64C22×C16132yes—
347C2×C3×C64C22×C4214yes—
348C2×C3×C64C23×C818yes—
349C3×C4×C32C82116yes—
350C3×C4×C32C4×C1618yes—
351C3×C4×C32C4×C16116yes—
352C3×C4×C32C4×C16116yes—
353C3×C4×C32C2×C32164yes—
354C3×C4×C32C4312yes—
355C3×C4×C32C2×C4×C812yes—
356C3×C4×C32C2×C4×C814yes—
357C3×C4×C32C2×C4×C814yes—
358C3×C4×C32C2×C4×C818yes—
359C3×C4×C32C2×C4×C8116yes—
360C3×C4×C32C22×C1618yes—
361C3×C4×C32C22×C1618yes—
362C3×C4×C32C22×C16116yes—
363C3×C4×C32C22×C4212yes—
364C3×C4×C32C23×C812yes—
365C3×C8×C16C4×C16116yes—
366C3×C8×C16C2×C32132yes—
367C3×C8×C16C2×C4×C818yes—
368C3×C8×C16C22×C1618yes—
369C3×C128C2×C4×C8164yesdirect product factor
370C23×C32C3×C4×C812yes—
371C23×C32C2×C3×C1614yes—
372C23×C32C2×C3×C4211yescharacteristic
373C23×C32C22×C3×C811yescharacteristic
374C22×C4×C16C3×C3214yes—
375C22×C4×C16C3×C4×C812yes—
376C22×C4×C16C2×C3×C1611yescharacteristic
377C22×C4×C16C2×C3×C1612yes—
378C22×C4×C16C2×C3×C1612yes—
379C22×C4×C16C22×C3×C811yescharacteristic
380C2×C42×C8C3×C3212yes—
381C2×C42×C8C2×C3×C1611yescharacteristic
382C22×C82C3×C3212yes—
383C22×C82C2×C3×C1612yes—
384C22×C64C3×C4×C818yes—
385C22×C64C3×C4×C8116yes—
386C22×C64C3×C4×C8116yes—
387C22×C64C2×C3×C16132yes—
388C22×C64C2×C3×C4212yes—
389C22×C64C2×C3×C4214yes—
390C22×C64C2×C3×C4218yes—
391C22×C64C22×C3×C818yes—
392C22×C64C22×C3×C8116yes—
393C22×C64C23×C3×C412yes—
394C2×C4×C32C3×C32132yes—
395C2×C4×C32C3×C4×C812yes—
396C2×C4×C32C3×C4×C814yes—
397C2×C4×C32C3×C4×C814yes—
398C2×C4×C32C3×C4×C818yes—
399C2×C4×C32C3×C4×C8116yes—
400C2×C4×C32C2×C3×C1614yes—
401C2×C4×C32C2×C3×C1618yes—
402C2×C4×C32C2×C3×C1618yes—
403C2×C4×C32C2×C3×C16116yes—
404C2×C4×C32C2×C3×C16116yes—
405C2×C4×C32C2×C3×C4211yescharacteristic
406C2×C4×C32C2×C3×C4214yes—
407C2×C4×C32C2×C3×C4214yes—
408C2×C4×C32C22×C3×C811yescharacteristic
409C2×C4×C32C22×C3×C811yescharacteristic
410C2×C4×C32C22×C3×C812yes—
411C2×C4×C32C22×C3×C814yes—
412C2×C4×C32C22×C3×C814yes—
413C2×C4×C32C22×C3×C814yes—
414C2×C4×C32C23×C3×C411yescharacteristic
415C42×C16C3×C3214yes—
416C42×C16C3×C4×C812yes—
417C42×C16C2×C3×C1612yes—
418C42×C16C2×C3×C1612yes—
419C42×C16C2×C3×C1614yes—
420C42×C16C22×C3×C812yes—
421C2×C8×C16C3×C32116yes—
422C2×C8×C16C3×C4×C818yes—
423C2×C8×C16C2×C3×C1614yes—
424C2×C8×C16C2×C3×C1618yes—
425C2×C8×C16C2×C3×C1618yes—
426C2×C8×C16C22×C3×C814yes—
427C4×C82C3×C3214yes—
428C4×C82C2×C3×C1614yes—
429C2×C128C3×C4×C81128yesdirect product factor
430C2×C128C2×C3×C42132yes—
431C2×C128C22×C3×C8164yes—
432C4×C64C3×C4×C818yes—
433C4×C64C3×C4×C8116yes—
434C4×C64C3×C4×C8132yes—
435C4×C64C2×C3×C16164yes—
436C4×C64C2×C3×C4214yes—
437C4×C64C2×C3×C4218yes—
438C4×C64C2×C3×C4218yes—
439C4×C64C22×C3×C818yes—
440C4×C64C22×C3×C818yes—
441C4×C64C22×C3×C8132yes—
442C4×C64C23×C3×C414yes—
443C8×C32C3×C4×C8116yes—
444C8×C32C2×C3×C16132yes—
445C8×C32C2×C3×C4218yes—
446C8×C32C22×C3×C818yes—
447C23×C3×C8C4×C3212yes—
448C23×C3×C8C2×C6418yes—
449C23×C3×C8C2×C4×C1611yescharacteristic
450C23×C3×C8C22×C3211yescharacteristic
451C22×C3×C42C4×C3212yes—
452C22×C3×C42C2×C6414yes—
453C22×C3×C42C22×C3211yescharacteristic
454C22×C3×C16C8×C1618yes—
455C22×C3×C16C4×C3218yes—
456C22×C3×C16C4×C3218yes—
457C22×C3×C16C4×C32116yes—
458C22×C3×C16C2×C64132yes—
459C22×C3×C16C2×C8214yes—
460C22×C3×C16C42×C812yes—
461C22×C3×C16C2×C4×C1611yescharacteristic
462C22×C3×C16C2×C4×C1611yescharacteristic
463C22×C3×C16C2×C4×C1612yes—
464C22×C3×C16C2×C4×C1614yes—
465C22×C3×C16C2×C4×C1614yes—
466C22×C3×C16C2×C4×C1614yes—
467C22×C3×C16C22×C3218yes—
468C22×C3×C16C22×C3218yes—
469C22×C3×C16C22×C4×C811yescharacteristic
470C22×C3×C16C23×C1611yescharacteristic
471C2×C3×C4×C8C128164yesdirect product factor
472C2×C3×C4×C8C8×C1618yes—
473C2×C3×C4×C8C4×C3212yes—
474C2×C3×C4×C8C4×C3214yes—
475C2×C3×C4×C8C4×C3214yes—
476C2×C3×C4×C8C4×C3218yes—
477C2×C3×C4×C8C4×C32116yes—
478C2×C3×C4×C8C2×C6418yes—
479C2×C3×C4×C8C2×C6418yes—
480C2×C3×C4×C8C2×C64116yes—
481C2×C3×C4×C8C2×C64116yes—
482C2×C3×C4×C8C2×C64132yes—
483C2×C3×C4×C8C2×C4×C1611yescharacteristic
484C2×C3×C4×C8C2×C4×C1614yes—
485C2×C3×C4×C8C2×C4×C1614yes—
486C2×C3×C4×C8C22×C3211yescharacteristic
487C2×C3×C4×C8C22×C3211yescharacteristic
488C2×C3×C4×C8C22×C3212yes—
489C2×C3×C4×C8C22×C3214yes—
490C2×C3×C4×C8C22×C3214yes—
491C2×C3×C4×C8C22×C3218yes—
492C2×C3×C4×C8C23×C1611yescharacteristic
493C3×C43C4×C3212yes—
494C3×C43C2×C6414yes—
495C3×C43C22×C3212yes—
496C2×C3×C32C8×C16132yes—
497C2×C3×C32C4×C32164yes—
498C2×C3×C32C2×C8214yes—
499C2×C3×C32C2×C8218yes—
500C2×C3×C32C2×C8218yes—
501C2×C3×C32C42×C812yes—
502C2×C3×C32C42×C812yes—
503C2×C3×C32C42×C818yes—
504C2×C3×C32C2×C4×C1614yes—
505C2×C3×C32C2×C4×C1618yes—
506C2×C3×C32C2×C4×C1618yes—
507C2×C3×C32C2×C4×C16116yes—
508C2×C3×C32C2×C4×C16116yes—
509C2×C3×C32C22×C32132yes—
510C2×C3×C32C2×C4311yescharacteristic
511C2×C3×C32C22×C4×C811yescharacteristic
512C2×C3×C32C22×C4×C812yes—
513C2×C3×C32C22×C4×C814yes—
514C2×C3×C32C23×C1614yes—
515C3×C4×C16C8×C16116yes—
516C3×C4×C16C4×C3218yes—
517C3×C4×C16C4×C32116yes—
518C3×C4×C16C4×C32116yes—
519C3×C4×C16C2×C64164yes—
520C3×C4×C16C2×C8218yes—
521C3×C4×C16C42×C812yes—
522C3×C4×C16C2×C4×C1612yes—
523C3×C4×C16C2×C4×C1614yes—
524C3×C4×C16C2×C4×C1614yes—
525C3×C4×C16C2×C4×C1618yes—
526C3×C4×C16C2×C4×C1618yes—
527C3×C4×C16C22×C3218yes—
528C3×C4×C16C22×C3218yes—
529C3×C4×C16C22×C32116yes—
530C3×C4×C16C22×C4×C812yes—
531C3×C4×C16C23×C1612yes—
532C3×C82C4×C32116yes—
533C3×C82C2×C64132yes—
534C3×C82C2×C4×C1618yes—
535C3×C82C22×C3218yes—
536C3×C64C2×C82116yes—
537C3×C64C42×C818yes—
538C3×C64C2×C4×C16132yes—
539C3×C64C22×C4×C818yes—
540C23×C16C3×C4×C1612yes—
541C23×C16C2×C3×C3214yes—
542C23×C16C2×C3×C4×C811yescharacteristic
543C23×C16C22×C3×C1611yescharacteristic
544C22×C4×C8C3×C6418yes—
545C22×C4×C8C3×C4×C1612yes—
546C22×C4×C8C2×C3×C3211yescharacteristic
547C22×C4×C8C2×C3×C3212yes—
548C22×C4×C8C2×C3×C3214yes—
549C22×C4×C8C22×C3×C1611yescharacteristic
550C2×C43C2×C3×C3211yescharacteristic
551C22×C32C3×C8218yes—
552C22×C32C3×C4×C1618yes—
553C22×C32C3×C4×C1618yes—
554C22×C32C3×C4×C16116yes—
555C22×C32C2×C3×C32132yes—
556C22×C32C3×C4312yes—
557C22×C32C2×C3×C4×C811yescharacteristic
558C22×C32C2×C3×C4×C811yescharacteristic
559C22×C32C2×C3×C4×C812yes—
560C22×C32C2×C3×C4×C814yes—
561C22×C32C2×C3×C4×C814yes—
562C22×C32C2×C3×C4×C818yes—
563C22×C32C22×C3×C1618yes—
564C22×C32C22×C3×C1618yes—
565C22×C32C22×C3×C4211yescharacteristic
566C22×C32C23×C3×C811yescharacteristic
567C2×C4×C16C3×C64132yes—
568C2×C4×C16C3×C8218yes—
569C2×C4×C16C3×C4×C1612yes—
570C2×C4×C16C3×C4×C1614yes—
571C2×C4×C16C3×C4×C1614yes—
572C2×C4×C16C3×C4×C1618yes—
573C2×C4×C16C3×C4×C1618yes—
574C2×C4×C16C2×C3×C3214yes—
575C2×C4×C16C2×C3×C3218yes—
576C2×C4×C16C2×C3×C3218yes—
577C2×C4×C16C2×C3×C32116yes—
578C2×C4×C16C2×C3×C32116yes—
579C2×C4×C16C2×C3×C4×C811yescharacteristic
580C2×C4×C16C2×C3×C4×C814yes—
581C2×C4×C16C2×C3×C4×C814yes—
582C2×C4×C16C22×C3×C1611yescharacteristic
583C2×C4×C16C22×C3×C1611yescharacteristic
584C2×C4×C16C22×C3×C1612yes—
585C2×C4×C16C22×C3×C1614yes—
586C2×C4×C16C22×C3×C1614yes—
587C2×C4×C16C22×C3×C1614yes—
588C2×C4×C16C23×C3×C811yescharacteristic
589C42×C8C3×C6418yes—
590C42×C8C3×C4×C1612yes—
591C42×C8C2×C3×C3212yes—
592C42×C8C2×C3×C3212yes—
593C42×C8C2×C3×C3218yes—
594C42×C8C22×C3×C1612yes—
595C2×C82C3×C64116yes—
596C2×C82C3×C4×C1618yes—
597C2×C82C2×C3×C3214yes—
598C2×C82C2×C3×C3218yes—
599C2×C82C2×C3×C3218yes—
600C2×C82C22×C3×C1614yes—
601C2×C64C3×C82132yes—
602C2×C64C3×C4×C16164yes—
603C2×C64C3×C4314yes—
604C2×C64C2×C3×C4×C818yes—
605C2×C64C2×C3×C4×C818yes—
606C2×C64C2×C3×C4×C8116yes—
607C2×C64C2×C3×C4×C8116yes—
608C2×C64C2×C3×C4×C8132yes—
609C2×C64C22×C3×C16132yes—
610C2×C64C22×C3×C4214yes—
611C2×C64C23×C3×C818yes—
612C4×C32C3×C82116yes—
613C4×C32C3×C4×C1618yes—
614C4×C32C3×C4×C16116yes—
615C4×C32C3×C4×C16116yes—
616C4×C32C2×C3×C32164yes—
617C4×C32C3×C4312yes—
618C4×C32C2×C3×C4×C812yes—
619C4×C32C2×C3×C4×C814yes—
620C4×C32C2×C3×C4×C814yes—
621C4×C32C2×C3×C4×C818yes—
622C4×C32C2×C3×C4×C8116yes—
623C4×C32C22×C3×C1618yes—
624C4×C32C22×C3×C1618yes—
625C4×C32C22×C3×C16116yes—
626C4×C32C22×C3×C4212yes—
627C4×C32C23×C3×C812yes—
628C8×C16C3×C4×C16116yes—
629C8×C16C2×C3×C32132yes—
630C8×C16C2×C3×C4×C818yes—
631C8×C16C22×C3×C1618yes—
632C128C2×C3×C4×C8164yesdirect product factor
633C23×C3×C4C4×C6414yes—
634C23×C3×C4C2×C4×C3211yescharacteristic
635C23×C3×C4C22×C6412yes—
636C22×C3×C8C8×C3218yes—
637C22×C3×C8C4×C6418yes—
638C22×C3×C8C4×C6418yes—
639C22×C3×C8C4×C64132yes—
640C22×C3×C8C2×C128164yes—
641C22×C3×C8C2×C8×C1614yes—
642C22×C3×C8C42×C1612yes—
643C22×C3×C8C2×C4×C3211yescharacteristic
644C22×C3×C8C2×C4×C3211yescharacteristic
645C22×C3×C8C2×C4×C3212yes—
646C22×C3×C8C2×C4×C3214yes—
647C22×C3×C8C2×C4×C3214yes—
648C22×C3×C8C2×C4×C3214yes—
649C22×C3×C8C22×C6418yes—
650C22×C3×C8C22×C64116yes—
651C22×C3×C8C22×C4×C1611yescharacteristic
652C22×C3×C8C23×C3211yescharacteristic
653C2×C3×C42C8×C3218yes—
654C2×C3×C42C4×C6414yes—
655C2×C3×C42C4×C6418yes—
656C2×C3×C42C4×C6418yes—
657C2×C3×C42C2×C128132yes—
658C2×C3×C42C2×C4×C3211yescharacteristic
659C2×C3×C42C2×C4×C3214yes—
660C2×C3×C42C2×C4×C3214yes—
661C2×C3×C42C22×C6412yes—
662C2×C3×C42C22×C6414yes—
663C2×C3×C42C22×C6418yes—
664C2×C3×C42C23×C3211yescharacteristic
665C2×C3×C16C8×C32132yes—
666C2×C3×C16C4×C64164yes—
667C2×C3×C16C4×C8214yes—
668C2×C3×C16C2×C8×C1614yes—
669C2×C3×C16C2×C8×C1618yes—
670C2×C3×C16C2×C8×C1618yes—
671C2×C3×C16C42×C1612yes—
672C2×C3×C16C42×C1612yes—
673C2×C3×C16C42×C1614yes—
674C2×C3×C16C2×C4×C3214yes—
675C2×C3×C16C2×C4×C3218yes—
676C2×C3×C16C2×C4×C3218yes—
677C2×C3×C16C2×C4×C32116yes—
678C2×C3×C16C2×C4×C32116yes—
679C2×C3×C16C22×C64132yes—
680C2×C3×C16C22×C8212yes—
681C2×C3×C16C2×C42×C811yescharacteristic
682C2×C3×C16C22×C4×C1611yescharacteristic
683C2×C3×C16C22×C4×C1612yes—
684C2×C3×C16C22×C4×C1612yes—
685C2×C3×C16C23×C3214yes—
686C3×C4×C8C8×C32116yes—
687C3×C4×C8C4×C6418yes—
688C3×C4×C8C4×C64116yes—
689C3×C4×C8C4×C64132yes—
690C3×C4×C8C2×C1281128yesdirect product factor
691C3×C4×C8C2×C8×C1618yes—
692C3×C4×C8C42×C1612yes—
693C3×C4×C8C2×C4×C3212yes—
694C3×C4×C8C2×C4×C3214yes—
695C3×C4×C8C2×C4×C3214yes—
696C3×C4×C8C2×C4×C3218yes—
697C3×C4×C8C2×C4×C32116yes—
698C3×C4×C8C22×C6418yes—
699C3×C4×C8C22×C64116yes—
700C3×C4×C8C22×C64116yes—
701C3×C4×C8C22×C4×C1612yes—
702C3×C4×C8C23×C3212yes—
703C3×C32C4×C8214yes—
704C3×C32C2×C8×C16116yes—
705C3×C32C42×C1614yes—
706C3×C32C2×C4×C32132yes—
707C3×C32C22×C8212yes—
708C3×C32C2×C42×C812yes—
709C3×C32C22×C4×C1614yes—
710C23×C8C3×C4×C3212yes—
711C23×C8C2×C3×C6418yes—
712C23×C8C2×C3×C4×C1611yescharacteristic
713C23×C8C22×C3×C3211yescharacteristic
714C22×C42C3×C4×C3212yes—
715C22×C42C2×C3×C6414yes—
716C22×C42C22×C3×C3211yescharacteristic
717C22×C16C3×C8×C1618yes—
718C22×C16C3×C4×C3218yes—
719C22×C16C3×C4×C3218yes—
720C22×C16C3×C4×C32116yes—
721C22×C16C2×C3×C64132yes—
722C22×C16C2×C3×C8214yes—
723C22×C16C3×C42×C812yes—
724C22×C16C2×C3×C4×C1611yescharacteristic
725C22×C16C2×C3×C4×C1611yescharacteristic
726C22×C16C2×C3×C4×C1612yes—
727C22×C16C2×C3×C4×C1614yes—
728C22×C16C2×C3×C4×C1614yes—
729C22×C16C2×C3×C4×C1614yes—
730C22×C16C22×C3×C3218yes—
731C22×C16C22×C3×C3218yes—
732C22×C16C22×C3×C4×C811yescharacteristic
733C22×C16C23×C3×C1611yescharacteristic
734C2×C4×C8C3×C128164yesdirect product factor
735C2×C4×C8C3×C8×C1618yes—
736C2×C4×C8C3×C4×C3212yes—
737C2×C4×C8C3×C4×C3214yes—
738C2×C4×C8C3×C4×C3214yes—
739C2×C4×C8C3×C4×C3218yes—
740C2×C4×C8C3×C4×C32116yes—
741C2×C4×C8C2×C3×C6418yes—
742C2×C4×C8C2×C3×C6418yes—
743C2×C4×C8C2×C3×C64116yes—
744C2×C4×C8C2×C3×C64116yes—
745C2×C4×C8C2×C3×C64132yes—
746C2×C4×C8C2×C3×C4×C1611yescharacteristic
747C2×C4×C8C2×C3×C4×C1614yes—
748C2×C4×C8C2×C3×C4×C1614yes—
749C2×C4×C8C22×C3×C3211yescharacteristic
750C2×C4×C8C22×C3×C3211yescharacteristic
751C2×C4×C8C22×C3×C3212yes—
752C2×C4×C8C22×C3×C3214yes—
753C2×C4×C8C22×C3×C3214yes—
754C2×C4×C8C22×C3×C3218yes—
755C2×C4×C8C23×C3×C1611yescharacteristic
756C43C3×C4×C3212yes—
757C43C2×C3×C6414yes—
758C43C22×C3×C3212yes—
759C2×C32C3×C8×C16132yes—
760C2×C32C3×C4×C32164yes—
761C2×C32C2×C3×C8214yes—
762C2×C32C2×C3×C8218yes—
763C2×C32C2×C3×C8218yes—
764C2×C32C3×C42×C812yes—
765C2×C32C3×C42×C812yes—
766C2×C32C3×C42×C818yes—
767C2×C32C2×C3×C4×C1614yes—
768C2×C32C2×C3×C4×C1618yes—
769C2×C32C2×C3×C4×C1618yes—
770C2×C32C2×C3×C4×C16116yes—
771C2×C32C2×C3×C4×C16116yes—
772C2×C32C22×C3×C32132yes—
773C2×C32C2×C3×C4311yescharacteristic
774C2×C32C22×C3×C4×C811yescharacteristic
775C2×C32C22×C3×C4×C812yes—
776C2×C32C22×C3×C4×C814yes—
777C2×C32C23×C3×C1614yes—
778C4×C16C3×C8×C16116yes—
779C4×C16C3×C4×C3218yes—
780C4×C16C3×C4×C32116yes—
781C4×C16C3×C4×C32116yes—
782C4×C16C2×C3×C64164yes—
783C4×C16C2×C3×C8218yes—
784C4×C16C3×C42×C812yes—
785C4×C16C2×C3×C4×C1612yes—
786C4×C16C2×C3×C4×C1614yes—
787C4×C16C2×C3×C4×C1614yes—
788C4×C16C2×C3×C4×C1618yes—
789C4×C16C2×C3×C4×C1618yes—
790C4×C16C22×C3×C3218yes—
791C4×C16C22×C3×C3218yes—
792C4×C16C22×C3×C32116yes—
793C4×C16C22×C3×C4×C812yes—
794C4×C16C23×C3×C1612yes—
795C82C3×C4×C32116yes—
796C82C2×C3×C64132yes—
797C82C2×C3×C4×C1618yes—
798C82C22×C3×C3218yes—
799C64C2×C3×C82116yes—
800C64C3×C42×C818yes—
801C64C2×C3×C4×C16132yes—
802C64C22×C3×C4×C818yes—
803C24×C3C2×C4×C6411yescharacteristic
804C22×C3×C4C8×C64116yes—
805C22×C3×C4C4×C128132yes—
806C22×C3×C4C2×C8×C3214yes—
807C22×C3×C4C42×C3212yes—
808C22×C3×C4C2×C4×C6411yescharacteristic
809C22×C3×C4C2×C4×C6412yes—
810C22×C3×C4C2×C4×C6412yes—
811C22×C3×C4C2×C4×C6414yes—
812C22×C3×C4C2×C4×C6418yes—
813C22×C3×C4C2×C4×C6418yes—
814C22×C3×C4C22×C128116yes—
815C22×C3×C4C22×C4×C3211yescharacteristic
816C22×C3×C4C23×C6412yes—
817C2×C3×C8C8×C64132yes—
818C2×C3×C8C4×C1281128yesdirect product factor
819C2×C3×C8C4×C8×C1614yes—
820C2×C3×C8C2×C8×C3214yes—
821C2×C3×C8C2×C8×C3218yes—
822C2×C3×C8C2×C8×C3218yes—
823C2×C3×C8C42×C3212yes—
824C2×C3×C8C42×C3212yes—
825C2×C3×C8C42×C3214yes—
826C2×C3×C8C2×C4×C6414yes—
827C2×C3×C8C2×C4×C6418yes—
828C2×C3×C8C2×C4×C6418yes—
829C2×C3×C8C2×C4×C64116yes—
830C2×C3×C8C2×C4×C64132yes—
831C2×C3×C8C22×C128164yes—
832C2×C3×C8C22×C8×C1612yes—
833C2×C3×C8C2×C42×C1611yescharacteristic
834C2×C3×C8C22×C4×C3211yescharacteristic
835C2×C3×C8C22×C4×C3212yes—
836C2×C3×C8C22×C4×C3212yes—
837C2×C3×C8C23×C6414yes—
838C3×C42C8×C64116yes—
839C3×C42C4×C128132yes—
840C3×C42C2×C8×C3218yes—
841C3×C42C42×C3212yes—
842C3×C42C2×C4×C6412yes—
843C3×C42C2×C4×C6418yes—
844C3×C42C2×C4×C6418yes—
845C3×C42C22×C128132yes—
846C3×C42C22×C4×C3212yes—
847C3×C42C23×C6412yes—
848C3×C16C4×C8×C1614yes—
849C3×C16C2×C8×C32116yes—
850C3×C16C42×C3214yes—
851C3×C16C2×C4×C64132yes—
852C3×C16C2×C4×C8211yescharacteristic
853C3×C16C22×C8×C1612yes—
854C3×C16C2×C42×C1611yescharacteristic
855C3×C16C22×C4×C3214yes—
856C23×C4C3×C4×C6414yes—
857C23×C4C2×C3×C4×C3211yescharacteristic
858C23×C4C22×C3×C6412yes—
859C22×C8C3×C8×C3218yes—
860C22×C8C3×C4×C6418yes—
861C22×C8C3×C4×C6418yes—
862C22×C8C3×C4×C64132yes—
863C22×C8C2×C3×C128164yes—
864C22×C8C2×C3×C8×C1614yes—
865C22×C8C3×C42×C1612yes—
866C22×C8C2×C3×C4×C3211yescharacteristic
867C22×C8C2×C3×C4×C3211yescharacteristic
868C22×C8C2×C3×C4×C3212yes—
869C22×C8C2×C3×C4×C3214yes—
870C22×C8C2×C3×C4×C3214yes—
871C22×C8C2×C3×C4×C3214yes—
872C22×C8C22×C3×C6418yes—
873C22×C8C22×C3×C64116yes—
874C22×C8C22×C3×C4×C1611yescharacteristic
875C22×C8C23×C3×C3211yescharacteristic
876C2×C42C3×C8×C3218yes—
877C2×C42C3×C4×C6414yes—
878C2×C42C3×C4×C6418yes—
879C2×C42C3×C4×C6418yes—
880C2×C42C2×C3×C128132yes—
881C2×C42C2×C3×C4×C3211yescharacteristic
882C2×C42C2×C3×C4×C3214yes—
883C2×C42C2×C3×C4×C3214yes—
884C2×C42C22×C3×C6412yes—
885C2×C42C22×C3×C6414yes—
886C2×C42C22×C3×C6418yes—
887C2×C42C23×C3×C3211yescharacteristic
888C2×C16C3×C8×C32132yes—
889C2×C16C3×C4×C64164yes—
890C2×C16C3×C4×C8214yes—
891C2×C16C2×C3×C8×C1614yes—
892C2×C16C2×C3×C8×C1618yes—
893C2×C16C2×C3×C8×C1618yes—
894C2×C16C3×C42×C1612yes—
895C2×C16C3×C42×C1612yes—
896C2×C16C3×C42×C1614yes—
897C2×C16C2×C3×C4×C3214yes—
898C2×C16C2×C3×C4×C3218yes—
899C2×C16C2×C3×C4×C3218yes—
900C2×C16C2×C3×C4×C32116yes—
901C2×C16C2×C3×C4×C32116yes—
902C2×C16C22×C3×C64132yes—
903C2×C16C22×C3×C8212yes—
904C2×C16C2×C3×C42×C811yescharacteristic
905C2×C16C22×C3×C4×C1611yescharacteristic
906C2×C16C22×C3×C4×C1612yes—
907C2×C16C22×C3×C4×C1612yes—
908C2×C16C23×C3×C3214yes—
909C4×C8C3×C8×C32116yes—
910C4×C8C3×C4×C6418yes—
911C4×C8C3×C4×C64116yes—
912C4×C8C3×C4×C64132yes—
913C4×C8C2×C3×C1281128yesdirect product factor
914C4×C8C2×C3×C8×C1618yes—
915C4×C8C3×C42×C1612yes—
916C4×C8C2×C3×C4×C3212yes—
917C4×C8C2×C3×C4×C3214yes—
918C4×C8C2×C3×C4×C3214yes—
919C4×C8C2×C3×C4×C3218yes—
920C4×C8C2×C3×C4×C32116yes—
921C4×C8C22×C3×C6418yes—
922C4×C8C22×C3×C64116yes—
923C4×C8C22×C3×C64116yes—
924C4×C8C22×C3×C4×C1612yes—
925C4×C8C23×C3×C3212yes—
926C32C3×C4×C8214yes—
927C32C2×C3×C8×C16116yes—
928C32C3×C42×C1614yes—
929C32C2×C3×C4×C32132yes—
930C32C22×C3×C8212yes—
931C32C2×C3×C42×C812yes—
932C32C22×C3×C4×C1614yes—
933C23×C3C2×C4×C12818yes—
934C23×C3C42×C6412yes—
935C23×C3C2×C8×C6414yes—
936C23×C3C22×C4×C6411yescharacteristic
937C2×C3×C4C8×C128164yesdirect product factor
938C2×C3×C4C2×C4×C12818yes—
939C2×C3×C4C2×C4×C128132yes—
940C2×C3×C4C2×C4×C128132yes—
941C2×C3×C4C23×C12818yes—
942C2×C3×C4C42×C6412yes—
943C2×C3×C4C42×C6414yes—
944C2×C3×C4C42×C6414yes—
945C2×C3×C4C2×C8×C6414yes—
946C2×C3×C4C2×C8×C6418yes—
947C2×C3×C4C2×C8×C64116yes—
948C2×C3×C4C22×C4×C6411yescharacteristic
949C2×C3×C4C22×C4×C6412yes—
950C2×C3×C4C22×C4×C6414yes—
951C2×C3×C4C4×C8×C3214yes—
952C2×C3×C4C22×C8×C3212yes—
953C2×C3×C4C2×C42×C3211yescharacteristic
954C3×C8C2×C4×C128164yesdirect product factor
955C3×C8C42×C6414yes—
956C3×C8C2×C8×C64116yes—
957C3×C8C22×C4×C6414yes—
958C3×C8C4×C8×C3214yes—
959C3×C8C22×C8×C3212yes—
960C3×C8C2×C42×C3211yescharacteristic
961C3×C8C2×C4×C8×C1611yescharacteristic
962C24C2×C3×C4×C6411yescharacteristic
963C22×C4C3×C4×C128132yes—
964C22×C4C3×C8×C64116yes—
965C22×C4C22×C3×C128116yes—
966C22×C4C23×C3×C6412yes—
967C22×C4C2×C3×C4×C6411yescharacteristic
968C22×C4C2×C3×C4×C6412yes—
969C22×C4C2×C3×C4×C6412yes—
970C22×C4C2×C3×C4×C6414yes—
971C22×C4C2×C3×C4×C6418yes—
972C22×C4C2×C3×C4×C6418yes—
973C22×C4C2×C3×C8×C3214yes—
974C22×C4C3×C42×C3212yes—
975C22×C4C22×C3×C4×C3211yescharacteristic
976C2×C8C3×C4×C1281128yesdirect product factor
977C2×C8C3×C8×C64132yes—
978C2×C8C22×C3×C128164yes—
979C2×C8C23×C3×C6414yes—
980C2×C8C2×C3×C4×C6414yes—
981C2×C8C2×C3×C4×C6418yes—
982C2×C8C2×C3×C4×C6418yes—
983C2×C8C2×C3×C4×C64116yes—
984C2×C8C2×C3×C4×C64132yes—
985C2×C8C2×C3×C8×C3214yes—
986C2×C8C2×C3×C8×C3218yes—
987C2×C8C2×C3×C8×C3218yes—
988C2×C8C3×C42×C3212yes—
989C2×C8C3×C42×C3212yes—
990C2×C8C3×C42×C3214yes—
991C2×C8C22×C3×C4×C3211yescharacteristic
992C2×C8C22×C3×C4×C3212yes—
993C2×C8C22×C3×C4×C3212yes—
994C2×C8C3×C4×C8×C1614yes—
995C2×C8C22×C3×C8×C1612yes—
996C2×C8C2×C3×C42×C1611yescharacteristic
997C42C3×C4×C128132yes—
998C42C3×C8×C64116yes—
999C42C22×C3×C128132yes—
1000C42C23×C3×C6412yes—
1001C42C2×C3×C4×C6412yes—
1002C42C2×C3×C4×C6418yes—
1003C42C2×C3×C4×C6418yes—
1004C42C2×C3×C8×C3218yes—
1005C42C3×C42×C3212yes—
1006C42C22×C3×C4×C3212yes—
1007C16C2×C3×C4×C64132yes—
1008C16C2×C3×C8×C32116yes—
1009C16C3×C42×C3214yes—
1010C16C22×C3×C4×C3214yes—
1011C16C3×C4×C8×C1614yes—
1012C16C22×C3×C8×C1612yes—
1013C16C2×C3×C42×C1611yescharacteristic
1014C16C2×C3×C4×C8211yescharacteristic
1015C22×C3C42×C12818yes—
1016C22×C3C2×C8×C128116yes—
1017C22×C3C22×C4×C12814yes—
1018C22×C3C4×C8×C6414yes—
1019C22×C3C22×C8×C6412yes—
1020C22×C3C2×C42×C6411yescharacteristic
1021C3×C4C42×C12818yes—
1022C3×C4C2×C8×C128132yesdirect product factor
1023C3×C4C22×C4×C12818yes—
1024C3×C4C4×C8×C6414yes—
1025C3×C4C22×C8×C6412yes—
1026C3×C4C2×C42×C6411yescharacteristic
1027C3×C4C2×C4×C8×C3211yescharacteristic
1028C23C2×C3×C4×C12818yes—
1029C23C2×C3×C8×C6414yes—
1030C23C3×C42×C6412yes—
1031C23C22×C3×C4×C6411yescharacteristic
1032C2×C4C3×C8×C128164yesdirect product factor
1033C2×C4C23×C3×C12818yes—
1034C2×C4C2×C3×C4×C12818yes—
1035C2×C4C2×C3×C4×C128132yes—
1036C2×C4C2×C3×C4×C128132yes—
1037C2×C4C2×C3×C8×C6414yes—
1038C2×C4C2×C3×C8×C6418yes—
1039C2×C4C2×C3×C8×C64116yes—
1040C2×C4C3×C42×C6412yes—
1041C2×C4C3×C42×C6414yes—
1042C2×C4C3×C42×C6414yes—
1043C2×C4C22×C3×C4×C6411yescharacteristic
1044C2×C4C22×C3×C4×C6412yes—
1045C2×C4C22×C3×C4×C6414yes—
1046C2×C4C3×C4×C8×C3214yes—
1047C2×C4C22×C3×C8×C3212yes—
1048C2×C4C2×C3×C42×C3211yescharacteristic
1049C8C2×C3×C4×C128164yesdirect product factor
1050C8C2×C3×C8×C64116yes—
1051C8C3×C42×C6414yes—
1052C8C22×C3×C4×C6414yes—
1053C8C3×C4×C8×C3214yes—
1054C8C22×C3×C8×C3212yes—
1055C8C2×C3×C42×C3211yescharacteristic
1056C8C2×C3×C4×C8×C1611yescharacteristic
1057C2×C3C4×C8×C12818yesdirect product factor
1058C2×C3C22×C8×C12814yes—
1059C2×C3C2×C42×C12812yes—
1060C2×C3C2×C4×C8×C6411yescharacteristic
1061C22C2×C3×C8×C128116yes—
1062C22C3×C42×C12818yes—
1063C22C22×C3×C4×C12814yes—
1064C22C3×C4×C8×C6414yes—
1065C22C22×C3×C8×C6412yes—
1066C22C2×C3×C42×C6411yescharacteristic
1067C4C2×C3×C8×C128132yesdirect product factor
1068C4C3×C42×C12818yes—
1069C4C22×C3×C4×C12818yes—
1070C4C3×C4×C8×C6414yes—
1071C4C22×C3×C8×C6412yes—
1072C4C2×C3×C42×C6411yescharacteristic
1073C4C2×C3×C4×C8×C3211yescharacteristic
1074C3C2×C4×C8×C12811yescharacteristic, direct product factor, Sylow
1075C2C3×C4×C8×C12818yesdirect product factor
1076C2C22×C3×C8×C12814yes—
1077C2C2×C3×C42×C12812yes—
1078C2C2×C3×C4×C8×C6411yescharacteristic
subgroupG/H
centerGC1
commutatorC1G
Frattini, cosocleC2×C4×C64C24×C3
socle, prime radicalC24×C3C2×C4×C64
LCSG ▷ C1
UCSC1 ◁ G

Complements

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

NH ≅ G/Ntype
4. C3×C4×C8×C128C2direct (N × H)
5. C2×C4×C8×C128C3direct (N × H)
17. C2×C3×C8×C128C4direct (N × H)
22. C4×C8×C128C2×C3direct (N × H)
45. C2×C3×C4×C128C8direct (N × H)
51. C3×C8×C128C2×C4direct (N × H)
61. C2×C8×C128C3×C4direct (N × H)
116. C3×C4×C128C2×C8direct (N × H)
141. C2×C4×C128C3×C8direct (N × H)
146. C8×C128C2×C3×C4direct (N × H)
206. C2×C3×C128C4×C8direct (N × H)
272. C4×C128C2×C3×C8direct (N × H)
369. C3×C128C2×C4×C8direct (N × H)
429. C2×C128C3×C4×C8direct (N × H)
471. C2×C3×C4×C8C128direct (N × H)
632. C128C2×C3×C4×C8direct (N × H)
690. C3×C4×C8C2×C128direct (N × H)
734. C2×C4×C8C3×C128direct (N × H)
818. C2×C3×C8C4×C128direct (N × H)
913. C4×C8C2×C3×C128direct (N × H)
937. C2×C3×C4C8×C128direct (N × H)
954. C3×C8C2×C4×C128direct (N × H)
976. C2×C8C3×C4×C128direct (N × H)
1022. C3×C4C2×C8×C128direct (N × H)
1032. C2×C4C3×C8×C128direct (N × H)
1049. C8C2×C3×C4×C128direct (N × H)
1057. C2×C3C4×C8×C128direct (N × H)
1067. C4C2×C3×C8×C128direct (N × H)
1074. C3C2×C4×C8×C128direct (N × H)
1075. C2C3×C4×C8×C128direct (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×C8×C642
C2×C3×C42×C1282
C22×C3×C8×C1282
C3×C4×C8×C1282
C2×C4×C8×C1283