Finite Group Databasebeta

← D3×C3⋊D3×#102 #72268957

Subgroups — D3×C3⋊D3×#102 #72268957

Order 3456.

7240 conjugacy classes of subgroups.

The subgroup lattice has 1636 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×D3×D4×C3⋊D3C211yesmaximal, characteristic
2C2×D3×C8×C3⋊D3C211yesmaximal, characteristic, complemented
3D3×C4⋊C4×C3⋊D3C211yesmaximal, characteristic, complemented
4#102×C3⋊(C3⋊D3)C211yesmaximal, characteristic, complemented
5C3×C3⋊D3×#102C211yesmaximal, characteristic, complemented
6C32×D3×#102C211yesmaximal, characteristic, complemented
7#13160889C211yesmaximal, characteristic, complemented
8D3×#63659C211yesmaximal, characteristic, complemented
9C3⋊D3×#832C211yesmaximal, characteristic, complemented
10#13160034C211yesmaximal, characteristic, complemented
11D3×#63648C211yesmaximal, characteristic, complemented
12C3⋊D3×#821C211yesmaximal, characteristic, complemented
13#13159415C211yesmaximal, characteristic, complemented
14D3×#63636C211yesmaximal, characteristic, complemented
15C3⋊D3×#809C211yesmaximal, characteristic, complemented
16D32×#102—34nomaximal
17C2×C3⋊D3×#102—31nomaximal
18C23×D3×C3⋊D3—21no—
19C2×D4×C3⋊(C3⋊D3)C2211yescharacteristic
20C2×C3×D4×C3⋊D3C2211yescharacteristic
21C2×C32×D3×D4C2211yescharacteristic
22C2×#89039—21no—
23C2×C3⋊D3×#67—21no—
24C2×D3×#638—21no—
25D3×D4×C3⋊D3—24no—
26D3×D4×C3⋊D3C418yescomplemented
27C2×#89026C2211yescharacteristic
28C2×C3⋊D3×D12C2211yescharacteristic
29C2×D3×C4⋊(C3⋊D3)C2211yescharacteristic
30C2×C4×D3×C3⋊D3—21no—
31C2×C4×D3×C3⋊D3C2211yescharacteristic
32C2×C8×C3⋊(C3⋊D3)C2211yescharacteristic, complemented
33C4⋊C4×C3⋊(C3⋊D3)C2211yescharacteristic, complemented
34C2×C3×C8×C3⋊D3C2211yescharacteristic, complemented
35C3×C4⋊C4×C3⋊D3C2211yescharacteristic, complemented
36C2×C32×D3×C8C2211yescharacteristic, complemented
37C32×D3×C4⋊C4C2211yescharacteristic, complemented
38#11723503C2211yescharacteristic, complemented
39C3⋊D3×C4⋊Dic3C2211yescharacteristic, complemented
40D3×C4⋊(C3⋊Dic3)C2211yescharacteristic, complemented
41#11723470—21no—
42C3⋊D3×Dic3⋊C4—21no—
43D3×#3750—21no—
44C2×#88785C2211yescharacteristic, complemented
45C2×C3⋊D3×C3⋊C8C2211yescharacteristic, complemented
46C2×D3×C3⋊(C3⋊C8)C2211yescharacteristic, complemented
47D3×C8×C3⋊D3—24no—
48C33×#102C2211yescharacteristic, complemented
49#11722202C2211yescharacteristic, complemented
50#11722191C2211yescharacteristic, complemented
51#11722179C2211yescharacteristic, complemented
52C3×#63659C2211yescharacteristic, complemented
53C3×#63648C2211yescharacteristic, complemented
54C3×#63636C2211yescharacteristic, complemented
55C32×#832C2211yescharacteristic, complemented
56C32×#821C2211yescharacteristic, complemented
57C32×#809C2211yescharacteristic, complemented
58#11722036C2211yescharacteristic, complemented
59#11722035C2211yescharacteristic, complemented
60#11722034C2211yescharacteristic, complemented
61#11722033C2211yescharacteristic, complemented
62#11722032C2211yescharacteristic, complemented
63#11722031C2211yescharacteristic, complemented
64C22×D4×C3⋊D3—31no—
65C2×D32×D4—34no—
66C22×C8×C3⋊D3—31no—
67C2×C4⋊C4×C3⋊D3—31no—
68C2×D32×C8—34no—
69D32×C4⋊C4—34no—
70C2×C32×#102—31no—
71C2×#63659—31no—
72C2×#63648—31no—
73C2×#63636—31no—
74C3⋊D3×#102—31no—
75C3⋊D3×#102—31no—
76C3⋊D3×#102—34no—
77C3⋊D3×#102—31no—
78C3⋊D3×#102—31no—
79C3⋊D3×#102—31no—
80C3⋊D3×#102—31no—
81C3⋊D3×#102—31no—
82C3⋊D3×#102—64no—
83C3⋊D3×#102D311yescharacteristic, direct product factor
84C3×D3×#102—34no—
85C3×D3×#102D314yescomplemented
86#10591416—34no—
87D3×#832—34no—
88D3×#832—34no—
89#10590940—34no—
90D3×#821—34no—
91D3×#821—34no—
92#10590593—34no—
93D3×#809—34no—
94D3×#809—34no—
95C23×C3⋊(C3⋊D3)—21no—
96C23×C3×C3⋊D3—21no—
97C23×C32×D3—21no—
98C22×D3×C3⋊D3—21no—
99C22×D3×C3⋊D3—21no—
100C22×D3×C3⋊D3—21no—
101C22×D3×C3⋊D3—28no—
102C22×D3×C3⋊D3—44no—
103C22×D3×C3⋊D3—44no—
104C22×D3×C3⋊D3D411yescharacteristic
105C2×C33×D4C2311yescharacteristic
106C2×#6312—21no—
107D4×C3⋊(C3⋊D3)—22no—
108D4×C3⋊(C3⋊D3)C2×C414yescomplemented
109C2×C4⋊(C3⋊(C3⋊D3))C2311yescharacteristic
110C2×C4×C3⋊(C3⋊D3)—21no—
111C2×C4×C3⋊(C3⋊D3)C2311yescharacteristic
112C2×C3×#638—21no—
113C3×D4×C3⋊D3—22no—
114C3×D4×C3⋊D3C2×C414yescomplemented
115C2×C3×C4⋊(C3⋊D3)C2311yescharacteristic
116C2×C3×C4×C3⋊D3—21no—
117C2×C3×C4×C3⋊D3C2311yescharacteristic
118C2×C32×#67—21no—
119C32×D3×D4—22no—
120C32×D3×D4C2×C414yescomplemented
121C2×C32×D12C2311yescharacteristic
122C2×C32×C4×D3—21no—
123C2×C32×C4×D3C2311yescharacteristic
124#89039—28no—
125C3⋊D3×#67—28no—
126D3×#638—28no—
127C2×#6292—21no—
128C2×#6291—21no—
129C2×#6290—21no—
130C2×#6289—21no—
131C2×#6289D411yescharacteristic
132C2×Dic3×C3⋊D3—21no—
133C2×Dic3×C3⋊D3D411yescharacteristic
134C2×D3×C3⋊Dic3—21no—
135C2×D3×C3⋊Dic3D411yescharacteristic
136#89026—22no—
137#89026C2×C414yescomplemented
138C3⋊D3×D12—22no—
139C3⋊D3×D12C2×C414yescomplemented
140D3×C4⋊(C3⋊D3)—22no—
141D3×C4⋊(C3⋊D3)C2×C414yescomplemented
142C4×D3×C3⋊D3—44no—
143C4×D3×C3⋊D3C2×C414yes—
144C4×D3×C3⋊D3D414yes—
145C2×C33×C8C2311yescharacteristic, complemented
146C33×C4⋊C4C2311yescharacteristic, complemented
147C4⋊(C3⋊(C3⋊Dic3))C2311yescharacteristic, complemented
148#88857—21no—
149C2×C3⋊(C3⋊(C3⋊C8))C2311yescharacteristic, complemented
150C8×C3⋊(C3⋊D3)—22no—
151C3×C4⋊(C3⋊Dic3)C2311yescharacteristic, complemented
152C3×#3750—21no—
153C2×C3×C3⋊(C3⋊C8)C2311yescharacteristic, complemented
154C3×C8×C3⋊D3—22no—
155C32×C4⋊Dic3C2311yescharacteristic, complemented
156C32×Dic3⋊C4—21no—
157C2×C32×C3⋊C8C2311yescharacteristic, complemented
158C32×D3×C8—22no—
159#88807—21no—
160#88806—21no—
161Dic3⋊(C3⋊Dic3)—21no—
162#88785—22no—
163C3⋊D3×C3⋊C8—22no—
164D3×C3⋊(C3⋊C8)—22no—
165C2×D3×#102—94no—
166C2×D3×#102—91no—
167C24×C3⋊D3—61no—
168C23×D32—64no—
169C22×C32×D4—31no—
170C22×#638—61no—
171C2×D4×C3⋊D3—31no—
172C2×D4×C3⋊D3—38no—
173C2×D4×C3⋊D3—31no—
174C2×D4×C3⋊D3—31no—
175C2×D4×C3⋊D3—34no—
176C2×D4×C3⋊D3—61no—
177C2×D4×C3⋊D3—64no—
178C2×D4×C3⋊D3—61no—
179C2×D4×C3⋊D3—64no—
180C2×D4×C3⋊D3C2×D311yescharacteristic
181C22×C4⋊(C3⋊D3)—31no—
182C22×C4×C3⋊D3—31no—
183C22×C4×C3⋊D3—61no—
184C2×C3×D3×D4—34no—
185C2×C3×D3×D4C2×D314yes—
186C2×#3811—64no—
187C2×D3×#67—64no—
188C2×D3×#67—64no—
189D32×D4—332no—
190D32×D4—616no—
191C2×#3802—34no—
192C2×D3×D12—34no—
193C2×D3×D12—34no—
194C2×C4×D32—34no—
195C2×C4×D32—64no—
196C22×C32×C8—31no—
197C2×C32×C4⋊C4—31no—
198C2×C4⋊(C3⋊Dic3)—31no—
199C2×#3750—61no—
200C22×C3⋊(C3⋊C8)—31no—
201C2×C8×C3⋊D3—31no—
202C2×C8×C3⋊D3—31no—
203C2×C8×C3⋊D3—31no—
204C2×C8×C3⋊D3—34no—
205C2×C8×C3⋊D3—64no—
206C2×C8×C3⋊D3—64no—
207C2×C8×C3⋊D3C2×D311yescharacteristic, complemented
208C4⋊C4×C3⋊D3—31no—
209C4⋊C4×C3⋊D3—31no—
210C4⋊C4×C3⋊D3—31no—
211C4⋊C4×C3⋊D3—34no—
212C4⋊C4×C3⋊D3—64no—
213C4⋊C4×C3⋊D3—61no—
214C4⋊C4×C3⋊D3—61no—
215C4⋊C4×C3⋊D3C2×D311yescharacteristic, complemented
216C2×C3×D3×C8—34no—
217C2×C3×D3×C8C2×D314yescomplemented
218C3×D3×C4⋊C4—34no—
219C3×D3×C4⋊C4C2×D314yescomplemented
220#63900—34no—
221D3×C4⋊Dic3—34no—
222D3×C4⋊Dic3—34no—
223#63883—64no—
224D3×Dic3⋊C4—64no—
225D3×Dic3⋊C4—64no—
226C2×#3710—34no—
227C2×D3×C3⋊C8—34no—
228C2×D3×C3⋊C8—34no—
229D32×C8—616no—
230C32×#102—24no—
231C32×#102—31no—
232C32×#102—31no—
233C32×#102—31no—
234C32×#102C2×D314yescomplemented
235C32×#102C2×D311yescharacteristic, complemented
236#63659—31no—
237#63659—31no—
238#63659—31no—
239#63659—34no—
240#63659—64no—
241#63659C2×D311yescharacteristic, complemented
242#63648—31no—
243#63648—31no—
244#63648—31no—
245#63648—34no—
246#63648—64no—
247#63648C2×D311yescharacteristic, complemented
248#63636—31no—
249#63636—31no—
250#63636—31no—
251#63636—34no—
252#63636—64no—
253#63636C2×D311yescharacteristic, complemented
254C3×#832—34no—
255C3×#832C2×D314yescomplemented
256C3×#821—34no—
257C3×#821C2×D314yescomplemented
258C3×#809—34no—
259C3×#809C2×D314yescomplemented
260#63564—34no—
261#63564—34no—
262#63563—34no—
263#63563—34no—
264#63562—34no—
265#63562—34no—
266C23×C33—21no—
267C22×C3⋊(C3⋊D3)—21no—
268C22×C3⋊(C3⋊D3)—24no—
269C22×C3⋊(C3⋊D3)—42no—
270C22×C3⋊(C3⋊D3)—42no—
271C22×C3⋊(C3⋊D3)C2×D411yescharacteristic
272C22×C3×C3⋊D3—21no—
273C22×C3×C3⋊D3—24no—
274C22×C3×C3⋊D3—42no—
275C22×C3×C3⋊D3—42no—
276C22×C3×C3⋊D3C2×D411yescharacteristic
277C22×C32×D3—21no—
278C22×C32×D3—24no—
279C22×C32×D3—42no—
280C22×C32×D3—42no—
281C22×C32×D3C2×D411yescharacteristic
282C2×D3×C3⋊D3—24no—
283C2×D3×C3⋊D3—24no—
284C2×D3×C3⋊D3—24no—
285C2×D3×C3⋊D3—42no—
286C2×D3×C3⋊D3—42no—
287C2×D3×C3⋊D3—42no—
288C2×D3×C3⋊D3—42no—
289C2×D3×C3⋊D3—42no—
290C2×D3×C3⋊D3—42no—
291C2×D3×C3⋊D3—432no—
292C2×D3×C3⋊D3C22⋊C414yes—
293C2×D3×C3⋊D3D814yes—
294C2×D3×C3⋊D3SD1614yes—
295C33×D4—21no—
296C33×D4C22×C412yescomplemented
297C2×C33×C4—21no—
298C2×C33×C4C2411yescharacteristic
299#6312—24no—
300C2×C3⋊(C3⋊Dic3)—21no—
301C2×C3⋊(C3⋊Dic3)C2×D411yescharacteristic
302C4⋊(C3⋊(C3⋊D3))—21no—
303C4⋊(C3⋊(C3⋊D3))C22×C412yescomplemented
304C4×C3⋊(C3⋊D3)—42no—
305C4×C3⋊(C3⋊D3)C22×C412yes—
306C4×C3⋊(C3⋊D3)C2×D412yes—
307C3×#638—24no—
308C2×C3×C3⋊Dic3—21no—
309C2×C3×C3⋊Dic3C2×D411yescharacteristic
310C3×C4⋊(C3⋊D3)—21no—
311C3×C4⋊(C3⋊D3)C22×C412yescomplemented
312C3×C4×C3⋊D3—42no—
313C3×C4×C3⋊D3C22×C412yes—
314C3×C4×C3⋊D3C2×D412yes—
315C32×#67—24no—
316C2×C32×Dic3—21no—
317C2×C32×Dic3C2×D411yescharacteristic
318C32×D12—21no—
319C32×D12C22×C412yescomplemented
320C32×C4×D3—42no—
321C32×C4×D3C22×C412yes—
322C32×C4×D3C2×D412yes—
323#6292—24no—
324#6291—24no—
325#6290—24no—
326#6289—42no—
327#6289C22⋊C414yes—
328Dic3×C3⋊D3—42no—
329Dic3×C3⋊D3C22⋊C414yes—
330D3×C3⋊Dic3—42no—
331D3×C3⋊Dic3C22⋊C414yes—
332C33×C8—21no—
333C3⋊(C3⋊(C3⋊C8))—21no—
334C3×C3⋊(C3⋊C8)—21no—
335C32×C3⋊C8—21no—
336C22×D3×D4—94no—
337C22×D3×D4—91no—
338C22×D3×C8—94no—
339C22×D3×C8—91no—
340C2×D3×C4⋊C4—94no—
341C2×D3×C4⋊C4—91no—
342C2×C3×#102—34no—
343C2×C3×#102—91no—
344C2×#832—94no—
345C2×#832—91no—
346C2×#821—94no—
347C2×#821—91no—
348C2×#809—94no—
349C2×#809—91no—
350D3×#102—34no—
351D3×#102—94no—
352D3×#102—94no—
353D3×#102—94no—
354D3×#102—94no—
355D3×#102—94no—
356D3×#102—94no—
357D3×#102—91no—
358D3×#102—91no—
359D3×#102—91no—
360D3×#102—94no—
361D3×#102—91no—
362D3×#102—91no—
363D3×#102—91no—
364D3×#102—91no—
365D3×#102—184no—
366D3×#102C3⋊D311yescharacteristic, direct product factor
367C24×C32—61no—
368C23×C3⋊D3—21no—
369C23×C3⋊D3—31no—
370C23×C3⋊D3—61no—
371C23×C3⋊D3—68no—
372C23×C3⋊D3—61no—
373C23×C3⋊D3—61no—
374C23×C3⋊D3—64no—
375C23×C3⋊D3—61no—
376C23×C3⋊D3—124no—
377C23×C3⋊D3—124no—
378C23×C3⋊D3—124no—
379C23×C3×D3—24no—
380C23×C3×D3—64no—
381C22×D32—34no—
382C22×D32—632no—
383C22×D32—64no—
384C22×D32—64no—
385C22×D32—64no—
386C22×D32—1216no—
387C22×D32—1216no—
388C2×C32×D4—24no—
389C2×C32×D4—34no—
390C2×C32×D4—31no—
391C2×C32×D4—62no—
392C2×C32×D4—61no—
393C2×C32×D4C22×D314yes—
394C2×C32×D4C22×D311yescharacteristic
395C22×C32×C4—31no—
396C22×C32×C4—61no—
397C2×#638—21no—
398C2×#638—68no—
399C2×#638—61no—
400C2×#638—61no—
401C2×#638—64no—
402C2×#638—61no—
403C2×#638—124no—
404C22×C3⋊Dic3—31no—
405C22×C3⋊Dic3—61no—
406D4×C3⋊D3—22no—
407D4×C3⋊D3—34no—
408D4×C3⋊D3—316no—
409D4×C3⋊D3—34no—
410D4×C3⋊D3—34no—
411D4×C3⋊D3—62no—
412D4×C3⋊D3—68no—
413D4×C3⋊D3—62no—
414D4×C3⋊D3—68no—
415D4×C3⋊D3—68no—
416D4×C3⋊D3—616no—
417D4×C3⋊D3—62no—
418D4×C3⋊D3—128no—
419D4×C3⋊D3C4×D314yescomplemented
420C2×C4⋊(C3⋊D3)—31no—
421C2×C4⋊(C3⋊D3)—34no—
422C2×C4⋊(C3⋊D3)—34no—
423C2×C4⋊(C3⋊D3)—62no—
424C2×C4⋊(C3⋊D3)—61no—
425C2×C4⋊(C3⋊D3)—64no—
426C2×C4⋊(C3⋊D3)C22×D311yescharacteristic
427C2×C4×C3⋊D3—21no—
428C2×C4×C3⋊D3—31no—
429C2×C4×C3⋊D3—31no—
430C2×C4×C3⋊D3—34no—
431C2×C4×C3⋊D3—31no—
432C2×C4×C3⋊D3—34no—
433C2×C4×C3⋊D3—34no—
434C2×C4×C3⋊D3—64no—
435C2×C4×C3⋊D3—61no—
436C2×C4×C3⋊D3—61no—
437C2×C4×C3⋊D3—64no—
438C2×C4×C3⋊D3—61no—
439C2×C4×C3⋊D3—124no—
440C2×C4×C3⋊D3—124no—
441C2×C4×C3⋊D3C22×D311yescharacteristic
442C2×C3×#67—24no—
443C2×C3×#67—64no—
444C3×D3×D4—28no—
445C3×D3×D4—316no—
446C3×D3×D4—68no—
447C3×D3×D4C4×D3116yescomplemented
448C2×C3×D12—34no—
449C2×C3×D12C22×D314yes—
450C2×C3×C4×D3—24no—
451C2×C3×C4×D3—34no—
452C2×C3×C4×D3—64no—
453C2×C3×C4×D3C22×D314yes—
454#3811—632no—
455D3×#67—632no—
456D3×#67—632no—
457C2×#626—64no—
458C2×#626—64no—
459C2×#625—64no—
460C2×#624—34no—
461C2×#624—64no—
462C2×D3×Dic3—34no—
463C2×D3×Dic3—34no—
464C2×D3×Dic3—64no—
465C2×D3×Dic3—64no—
466#3802—316no—
467#3802—68no—
468D3×D12—316no—
469D3×D12—316no—
470D3×D12—68no—
471D3×D12—68no—
472C4×D32—316no—
473C4×D32—316no—
474C4×D32—1216no—
475C2×C32×C8—24no—
476C2×C32×C8—31no—
477C2×C32×C8—62no—
478C2×C32×C8C22×D314yescomplemented
479C2×C32×C8C22×D311yescharacteristic, complemented
480C32×C4⋊C4—24no—
481C32×C4⋊C4—31no—
482C32×C4⋊C4—61no—
483C32×C4⋊C4C22×D314yescomplemented
484C32×C4⋊C4C22×D311yescharacteristic, complemented
485C4⋊(C3⋊Dic3)—31no—
486C4⋊(C3⋊Dic3)—34no—
487C4⋊(C3⋊Dic3)—61no—
488C4⋊(C3⋊Dic3)—64no—
489C4⋊(C3⋊Dic3)C22×D311yescharacteristic, complemented
490#3750—21no—
491#3750—61no—
492#3750—61no—
493#3750—64no—
494#3750—61no—
495#3750—124no—
496C2×C3⋊(C3⋊C8)—31no—
497C2×C3⋊(C3⋊C8)—34no—
498C2×C3⋊(C3⋊C8)—62no—
499C2×C3⋊(C3⋊C8)—64no—
500C2×C3⋊(C3⋊C8)C22×D311yescharacteristic, complemented
501C8×C3⋊D3—22no—
502C8×C3⋊D3—62no—
503C8×C3⋊D3—62no—
504C8×C3⋊D3—68no—
505C8×C3⋊D3—62no—
506C8×C3⋊D3—128no—
507C3×C4⋊Dic3—34no—
508C3×C4⋊Dic3C22×D314yescomplemented
509C3×Dic3⋊C4—24no—
510C3×Dic3⋊C4—64no—
511C2×C3×C3⋊C8—34no—
512C2×C3×C3⋊C8C22×D314yescomplemented
513C3×D3×C8—28no—
514C3×D3×C8—68no—
515#3724—64no—
516Dic3⋊Dic3—64no—
517Dic3⋊Dic3—64no—
518#3710—68no—
519D3×C3⋊C8—68no—
520D3×C3⋊C8—68no—
521C22×#102—271noSylow
522C22×C33—22no—
523C22×C33—41no—
524C22×C33—41no—
525C22×C33C22×D411yescharacteristic
526C2×C3⋊(C3⋊D3)—22no—
527C2×C3⋊(C3⋊D3)—41no—
528C2×C3⋊(C3⋊D3)—41no—
529C2×C3⋊(C3⋊D3)—48no—
530C2×C3⋊(C3⋊D3)C2×C22⋊C412yes—
531C2×C3⋊(C3⋊D3)C2×D812yes—
532C2×C3⋊(C3⋊D3)C2×SD1612yes—
533C2×C3×C3⋊D3—22no—
534C2×C3×C3⋊D3—41no—
535C2×C3×C3⋊D3—41no—
536C2×C3×C3⋊D3—48no—
537C2×C3×C3⋊D3C2×C22⋊C412yes—
538C2×C3×C3⋊D3C2×D812yes—
539C2×C3×C3⋊D3C2×SD1612yes—
540C2×C32×D3—22no—
541C2×C32×D3—41no—
542C2×C32×D3—41no—
543C2×C32×D3—48no—
544C2×C32×D3C2×C22⋊C412yes—
545C2×C32×D3C2×D812yes—
546C2×C32×D3C2×SD1612yes—
547D3×C3⋊D3—48no—
548D3×C3⋊D3—48no—
549D3×C3⋊D3—48no—
550D3×C3⋊D3#102116yesdirect product factor
551C33×C4—41no—
552C33×C4C23×C411yescharacteristic
553C33×C4C22×D411yescharacteristic
554C3⋊(C3⋊Dic3)—41no—
555C3⋊(C3⋊Dic3)C2×C22⋊C412yes—
556C3×C3⋊Dic3—41no—
557C3×C3⋊Dic3C2×C22⋊C412yes—
558C32×Dic3—41no—
559C32×Dic3C2×C22⋊C412yes—
560C24×D3—181no—
561C24×D3—184no—
562C22×C3×D4—34no—
563C22×C3×D4—91no—
564C22×#67—181no—
565C22×#67—184no—
566C2×D3×D4—34no—
567C2×D3×D4—94no—
568C2×D3×D4—94no—
569C2×D3×D4—932no—
570C2×D3×D4—94no—
571C2×D3×D4—91no—
572C2×D3×D4—98no—
573C2×D3×D4—91no—
574C2×D3×D4—91no—
575C2×D3×D4—184no—
576C2×D3×D4—184no—
577C2×D3×D4—1816no—
578C2×D3×D4—181no—
579C2×D3×D4—184no—
580C2×D3×D4—184no—
581C2×D3×D4—181no—
582C2×D3×D4C2×C3⋊D311yescharacteristic
583C22×D12—94no—
584C22×D12—91no—
585C22×C4×D3—94no—
586C22×C4×D3—91no—
587C22×C4×D3—181no—
588C22×C4×D3—184no—
589C22×C3×C8—34no—
590C22×C3×C8—91no—
591C2×C3×C4⋊C4—34no—
592C2×C3×C4⋊C4—91no—
593C2×C4⋊Dic3—94no—
594C2×C4⋊Dic3—91no—
595C2×Dic3⋊C4—181no—
596C2×Dic3⋊C4—184no—
597C22×C3⋊C8—94no—
598C22×C3⋊C8—91no—
599C2×D3×C8—34no—
600C2×D3×C8—94no—
601C2×D3×C8—94no—
602C2×D3×C8—91no—
603C2×D3×C8—94no—
604C2×D3×C8—91no—
605C2×D3×C8—91no—
606C2×D3×C8—184no—
607C2×D3×C8—184no—
608C2×D3×C8—1816no—
609C2×D3×C8C2×C3⋊D311yescharacteristic, complemented
610D3×C4⋊C4—34no—
611D3×C4⋊C4—94no—
612D3×C4⋊C4—94no—
613D3×C4⋊C4—91no—
614D3×C4⋊C4—94no—
615D3×C4⋊C4—91no—
616D3×C4⋊C4—91no—
617D3×C4⋊C4—184no—
618D3×C4⋊C4—181no—
619D3×C4⋊C4—184no—
620D3×C4⋊C4—184no—
621D3×C4⋊C4—181no—
622D3×C4⋊C4C2×C3⋊D311yescharacteristic, complemented
623C3×#102—24no—
624C3×#102—34no—
625C3×#102—34no—
626C3×#102—34no—
627C3×#102—91no—
628C3×#102—91no—
629C3×#102—91no—
630C3×#102D3214yescomplemented
631C3×#102C2×C3⋊D311yescharacteristic, complemented
632#832—34no—
633#832—94no—
634#832—94no—
635#832—94no—
636#832—91no—
637#832—91no—
638#832—91no—
639#832—184no—
640#832C2×C3⋊D311yescharacteristic, complemented
641#821—34no—
642#821—94no—
643#821—94no—
644#821—91no—
645#821—94no—
646#821—91no—
647#821—91no—
648#821—184no—
649#821C2×C3⋊D311yescharacteristic, complemented
650#809—34no—
651#809—94no—
652#809—94no—
653#809—91no—
654#809—94no—
655#809—91no—
656#809—91no—
657#809—184no—
658#809C2×C3⋊D311yescharacteristic, complemented
659C23×C32—21no—
660C23×C32—24no—
661C23×C32—31no—
662C23×C32—44no—
663C23×C32—64no—
664C23×C32—61no—
665C23×C32—122no—
666C23×C32—122no—
667C22×C3⋊D3—21no—
668C22×C3⋊D3—24no—
669C22×C3⋊D3—31no—
670C22×C3⋊D3—34no—
671C22×C3⋊D3—34no—
672C22×C3⋊D3—34no—
673C22×C3⋊D3—34no—
674C22×C3⋊D3—42no—
675C22×C3⋊D3—42no—
676C22×C3⋊D3—64no—
677C22×C3⋊D3—64no—
678C22×C3⋊D3—64no—
679C22×C3⋊D3—64no—
680C22×C3⋊D3—61no—
681C22×C3⋊D3—64no—
682C22×C3⋊D3—616no—
683C22×C3⋊D3—64no—
684C22×C3⋊D3—1216no—
685C22×C3⋊D3—124no—
686C22×C3⋊D3—122no—
687C22×C3⋊D3—122no—
688C22×C3⋊D3—1232no—
689C22×C3⋊D3—122no—
690C22×C3⋊D3—122no—
691C22×C3⋊D3—122no—
692C22×C3⋊D3—122no—
693C22×C3⋊D3—122no—
694C22×C3⋊D3—122no—
695C22×C3⋊D3—128no—
696C22×C3⋊D3—128no—
697C22×C3⋊D3—248no—
698C22×C3⋊D3—248no—
699C22×C3⋊D3D3×D411yescharacteristic
700C22×C3×D3—24no—
701C22×C3×D3—216no—
702C22×C3×D3—34no—
703C22×C3×D3—48no—
704C22×C3×D3—48no—
705C22×C3×D3—616no—
706C22×C3×D3—64no—
707C22×C3×D3—128no—
708C22×C3×D3—128no—
709C22×C3×D3D3×D414yes—
710C2×D32—316no—
711C2×D32—316no—
712C2×D32—316no—
713C2×D32—616no—
714C2×D32—616no—
715C2×D32—616no—
716C2×D32—12128no—
717C2×D32—128no—
718C2×D32—128no—
719C2×D32—128no—
720C2×D32—128no—
721C2×D32—128no—
722C2×D32—128no—
723C32×D4—21no—
724C32×D4—28no—
725C32×D4—24no—
726C32×D4—32no—
727C32×D4—44no—
728C32×D4—64no—
729C32×D4—61no—
730C32×D4C2×C4×D318yescomplemented
731C32×D4C2×C4×D312yescomplemented
732C2×C32×C4—21no—
733C2×C32×C4—24no—
734C2×C32×C4—24no—
735C2×C32×C4—31no—
736C2×C32×C4—32no—
737C2×C32×C4—32no—
738C2×C32×C4—44no—
739C2×C32×C4—61no—
740C2×C32×C4—122no—
741C2×C32×C4C23×D314yes—
742C2×C32×C4C23×D311yescharacteristic
743#638—24no—
744#638—64no—
745#638—64no—
746#638—64no—
747#638—616no—
748#638—1216no—
749C2×C3⋊Dic3—21no—
750C2×C3⋊Dic3—31no—
751C2×C3⋊Dic3—34no—
752C2×C3⋊Dic3—34no—
753C2×C3⋊Dic3—64no—
754C2×C3⋊Dic3—61no—
755C2×C3⋊Dic3—64no—
756C2×C3⋊Dic3—124no—
757C2×C3⋊Dic3—122no—
758C2×C3⋊Dic3D3×D411yescharacteristic
759C4⋊(C3⋊D3)—21no—
760C4⋊(C3⋊D3)—32no—
761C4⋊(C3⋊D3)—38no—
762C4⋊(C3⋊D3)—68no—
763C4⋊(C3⋊D3)—64no—
764C4⋊(C3⋊D3)—61no—
765C4⋊(C3⋊D3)—64no—
766C4⋊(C3⋊D3)—124no—
767C4⋊(C3⋊D3)C2×C4×D312yescomplemented
768C4×C3⋊D3—34no—
769C4×C3⋊D3—32no—
770C4×C3⋊D3—32no—
771C4×C3⋊D3—34no—
772C4×C3⋊D3—38no—
773C4×C3⋊D3—38no—
774C4×C3⋊D3—42no—
775C4×C3⋊D3—68no—
776C4×C3⋊D3—68no—
777C4×C3⋊D3—122no—
778C4×C3⋊D3—122no—
779C4×C3⋊D3—122no—
780C4×C3⋊D3—128no—
781C4×C3⋊D3—248no—
782C4×C3⋊D3C2×C4×D312yes—
783C4×C3⋊D3D3×D412yes—
784C3×#67—216no—
785C3×#67—616no—
786C2×C3×Dic3—24no—
787C2×C3×Dic3—34no—
788C2×C3×Dic3—64no—
789C2×C3×Dic3D3×D414yes—
790C3×D12—24no—
791C3×D12—38no—
792C3×D12—64no—
793C3×D12C2×C4×D318yescomplemented
794C3×C4×D3—38no—
795C3×C4×D3—38no—
796C3×C4×D3—48no—
797C3×C4×D3—128no—
798C3×C4×D3C2×C4×D318yes—
799C3×C4×D3D3×D418yes—
800#626—616no—
801#626—616no—
802#625—616no—
803#624—316no—
804#624—128no—
805D3×Dic3—316no—
806D3×Dic3—316no—
807D3×Dic3—128no—
808D3×Dic3—128no—
809C32×C8—21no—
810C32×C8—24no—
811C32×C8—44no—
812C32×C8—61no—
813C3⋊(C3⋊C8)—21no—
814C3⋊(C3⋊C8)—61no—
815C3⋊(C3⋊C8)—64no—
816C3⋊(C3⋊C8)—124no—
817C3×C3⋊C8—24no—
818C3×C3⋊C8—64no—
819C23×D4—271no—
820C23×C8—271no—
821C22×C4⋊C4—271no—
822C2×#102—31no—
823C2×#102—91no—
824C2×#102—271no—
825C2×#102—271no—
826C2×#102—271no—
827C2×#102—271no—
828C2×#102—271no—
829C2×#102—271no—
830C2×#102—271no—
831C2×#102—271no—
832C2×#102—271no—
833C2×#102—271no—
834C2×C33—42no—
835C2×C33C22×C22⋊C411yescharacteristic
836C2×C33C22×D811yescharacteristic
837C2×C33C22×SD1611yescharacteristic
838C3⋊(C3⋊D3)—42no—
839C3⋊(C3⋊D3)C2×#10214yescomplemented
840C3×C3⋊D3—42no—
841C3×C3⋊D3C2×#10214yescomplemented
842C32×D3—42no—
843C32×D3C2×#10214yescomplemented
844C24×C3—64no—
845C24×C3—181no—
846C23×D3—21no—
847C23×D3—64no—
848C23×D3—94no—
849C23×D3—91no—
850C23×D3—181no—
851C23×D3—188no—
852C23×D3—181no—
853C23×D3—184no—
854C23×D3—1832no—
855C23×D3—184no—
856C23×D3—184no—
857C23×D3—181no—
858C23×D3—184no—
859C23×D3—181no—
860C23×D3—364no—
861C23×D3—364no—
862C23×D3—364no—
863C23×D3—3616no—
864C23×D3—3616no—
865C2×C3×D4—24no—
866C2×C3×D4—316no—
867C2×C3×D4—34no—
868C2×C3×D4—68no—
869C2×C3×D4—64no—
870C2×C3×D4—94no—
871C2×C3×D4—91no—
872C2×C3×D4—182no—
873C2×C3×D4—181no—
874C2×C3×D4C2×D3214yes—
875C2×C3×D4C22×C3⋊D311yescharacteristic
876C22×C3×C4—34no—
877C22×C3×C4—64no—
878C22×C3×C4—91no—
879C22×C3×C4—181no—
880C2×#67—21no—
881C2×#67—64no—
882C2×#67—184no—
883C2×#67—188no—
884C2×#67—1832no—
885C2×#67—181no—
886C2×#67—184no—
887C2×#67—181no—
888C2×#67—184no—
889C2×#67—181no—
890C2×#67—364no—
891C22×Dic3—94no—
892C22×Dic3—91no—
893C22×Dic3—181no—
894C22×Dic3—184no—
895D3×D4—22no—
896D3×D4—316no—
897D3×D4—68no—
898D3×D4—916no—
899D3×D4—916no—
900D3×D4—916no—
901D3×D4—94no—
902D3×D4—94no—
903D3×D4—94no—
904D3×D4—1816no—
905D3×D4—188no—
906D3×D4—182no—
907D3×D4—188no—
908D3×D4—188no—
909D3×D4—1832no—
910D3×D4—182no—
911D3×D4—188no—
912D3×D4—1832no—
913D3×D4—188no—
914D3×D4—182no—
915D3×D4—368no—
916D3×D4C4×C3⋊D314yescomplemented
917C2×D12—34no—
918C2×D12—916no—
919C2×D12—94no—
920C2×D12—91no—
921C2×D12—94no—
922C2×D12—184no—
923C2×D12—182no—
924C2×D12—188no—
925C2×D12—184no—
926C2×D12—181no—
927C2×D12C22×C3⋊D311yescharacteristic
928C2×C4×D3—21no—
929C2×C4×D3—34no—
930C2×C4×D3—64no—
931C2×C4×D3—916no—
932C2×C4×D3—916no—
933C2×C4×D3—94no—
934C2×C4×D3—94no—
935C2×C4×D3—91no—
936C2×C4×D3—94no—
937C2×C4×D3—91no—
938C2×C4×D3—91no—
939C2×C4×D3—94no—
940C2×C4×D3—94no—
941C2×C4×D3—184no—
942C2×C4×D3—181no—
943C2×C4×D3—184no—
944C2×C4×D3—181no—
945C2×C4×D3—184no—
946C2×C4×D3—184no—
947C2×C4×D3—181no—
948C2×C4×D3—364no—
949C2×C4×D3—364no—
950C2×C4×D3—3616no—
951C2×C4×D3C22×C3⋊D311yescharacteristic
952C2×C3×C8—24no—
953C2×C3×C8—34no—
954C2×C3×C8—68no—
955C2×C3×C8—91no—
956C2×C3×C8—182no—
957C2×C3×C8C2×D3214yescomplemented
958C2×C3×C8C22×C3⋊D311yescharacteristic, complemented
959C3×C4⋊C4—24no—
960C3×C4⋊C4—34no—
961C3×C4⋊C4—64no—
962C3×C4⋊C4—91no—
963C3×C4⋊C4—181no—
964C3×C4⋊C4C2×D3214yescomplemented
965C3×C4⋊C4C22×C3⋊D311yescharacteristic, complemented
966C4⋊Dic3—34no—
967C4⋊Dic3—94no—
968C4⋊Dic3—91no—
969C4⋊Dic3—184no—
970C4⋊Dic3—181no—
971C4⋊Dic3—184no—
972C4⋊Dic3C22×C3⋊D311yescharacteristic, complemented
973Dic3⋊C4—21no—
974Dic3⋊C4—64no—
975Dic3⋊C4—181no—
976Dic3⋊C4—184no—
977Dic3⋊C4—184no—
978Dic3⋊C4—181no—
979Dic3⋊C4—184no—
980Dic3⋊C4—181no—
981Dic3⋊C4—364no—
982C2×C3⋊C8—34no—
983C2×C3⋊C8—94no—
984C2×C3⋊C8—91no—
985C2×C3⋊C8—184no—
986C2×C3⋊C8—182no—
987C2×C3⋊C8—188no—
988C2×C3⋊C8C22×C3⋊D311yescharacteristic, complemented
989D3×C8—22no—
990D3×C8—68no—
991D3×C8—182no—
992D3×C8—188no—
993D3×C8—182no—
994D3×C8—188no—
995D3×C8—188no—
996D3×C8—182no—
997D3×C8—368no—
998C22×C32—22no—
999C22×C32—24no—
1000C22×C32—28no—
1001C22×C32—32no—
1002C22×C32—32no—
1003C22×C32—32no—
1004C22×C32—48no—
1005C22×C32—41no—
1006C22×C32—41no—
1007C22×C32—44no—
1008C22×C32—44no—
1009C22×C32—62no—
1010C22×C32—84no—
1011C22×C32—84no—
1012C22×C32—128no—
1013C22×C32—121no—
1014C22×C32—121no—
1015C22×C32C2×D3×D414yes—
1016C22×C32C2×D3×D411yescharacteristic
1017C2×C3⋊D3—22no—
1018C2×C3⋊D3—32no—
1019C2×C3⋊D3—32no—
1020C2×C3⋊D3—32no—
1021C2×C3⋊D3—316no—
1022C2×C3⋊D3—38no—
1023C2×C3⋊D3—38no—
1024C2×C3⋊D3—38no—
1025C2×C3⋊D3—41no—
1026C2×C3⋊D3—41no—
1027C2×C3⋊D3—48no—
1028C2×C3⋊D3—68no—
1029C2×C3⋊D3—68no—
1030C2×C3⋊D3—68no—
1031C2×C3⋊D3—62no—
1032C2×C3⋊D3—68no—
1033C2×C3⋊D3—128no—
1034C2×C3⋊D3—128no—
1035C2×C3⋊D3—128no—
1036C2×C3⋊D3—128no—
1037C2×C3⋊D3—121no—
1038C2×C3⋊D3—121no—
1039C2×C3⋊D3—128no—
1040C2×C3⋊D3—1232no—
1041C2×C3⋊D3—124no—
1042C2×C3⋊D3—124no—
1043C2×C3⋊D3—2432no—
1044C2×C3⋊D3—244no—
1045C2×C3⋊D3—244no—
1046C2×C3⋊D3D3×C22⋊C412yes—
1047C2×C3⋊D3D3×D812yes—
1048C2×C3⋊D3D3×SD1612yes—
1049C2×C3×D3—28no—
1050C2×C3×D3—38no—
1051C2×C3×D3—38no—
1052C2×C3×D3—38no—
1053C2×C3×D3—44no—
1054C2×C3×D3—44no—
1055C2×C3×D3—432no—
1056C2×C3×D3—68no—
1057C2×C3×D3—1232no—
1058C2×C3×D3—124no—
1059C2×C3×D3—124no—
1060C2×C3×D3D3×C22⋊C418yes—
1061C2×C3×D3D3×D818yes—
1062C2×C3×D3D3×SD1618yes—
1063D32—364no—
1064D32—1232no—
1065D32—1232no—
1066D32—1232no—
1067C32×C4—24no—
1068C32×C4—24no—
1069C32×C4—32no—
1070C32×C4—41no—
1071C32×C4—44no—
1072C32×C4—84no—
1073C32×C4—121no—
1074C32×C4C22×C4×D314yes—
1075C32×C4C22×C4×D311yescharacteristic
1076C32×C4C2×D3×D414yes—
1077C32×C4C2×D3×D411yescharacteristic
1078C3⋊Dic3—32no—
1079C3⋊Dic3—38no—
1080C3⋊Dic3—41no—
1081C3⋊Dic3—68no—
1082C3⋊Dic3—121no—
1083C3⋊Dic3—124no—
1084C3⋊Dic3—244no—
1085C3⋊Dic3D3×C22⋊C412yes—
1086C3×Dic3—38no—
1087C3×Dic3—44no—
1088C3×Dic3—124no—
1089C3×Dic3D3×C22⋊C418yes—
1090C25—541no—
1091C22×D4—31no—
1092C22×D4—91no—
1093C22×D4—271no—
1094C22×D4—271no—
1095C22×D4—271no—
1096C22×D4—278no—
1097C22×D4—271no—
1098C22×D4—541no—
1099C22×D4—544no—
1100C22×D4—541no—
1101C22×D4—541no—
1102C23×C4—271no—
1103C23×C4—541no—
1104C22×C8—31no—
1105C22×C8—91no—
1106C22×C8—271no—
1107C22×C8—271no—
1108C22×C8—271no—
1109C22×C8—271no—
1110C22×C8—544no—
1111C2×C4⋊C4—31no—
1112C2×C4⋊C4—91no—
1113C2×C4⋊C4—271no—
1114C2×C4⋊C4—271no—
1115C2×C4⋊C4—271no—
1116C2×C4⋊C4—271no—
1117C2×C4⋊C4—541no—
1118C2×C4⋊C4—541no—
1119C2×C4⋊C4—541no—
1120#102—31no—
1121#102—31no—
1122#102—31no—
1123#102—91no—
1124#102—91no—
1125#102—91no—
1126#102—271no—
1127#102—271no—
1128#102—271no—
1129#102—271no—
1130#102—271no—
1131#102—271no—
1132#102—271no—
1133#102—271no—
1134#102—271no—
1135#102D3×C3⋊D311yescharacteristic, direct product factor
1136C33C22×#10211yescharacteristic, complemented, Sylow
1137C23×C3—24no—
1138C23×C3—21no—
1139C23×C3—34no—
1140C23×C3—44no—
1141C23×C3—616no—
1142C23×C3—64no—
1143C23×C3—91no—
1144C23×C3—128no—
1145C23×C3—128no—
1146C23×C3—184no—
1147C23×C3—181no—
1148C23×C3—362no—
1149C23×C3—362no—
1150C22×D3—21no—
1151C22×D3—24no—
1152C22×D3—34no—
1153C22×D3—42no—
1154C22×D3—42no—
1155C22×D3—616no—
1156C22×D3—64no—
1157C22×D3—916no—
1158C22×D3—916no—
1159C22×D3—916no—
1160C22×D3—94no—
1161C22×D3—91no—
1162C22×D3—94no—
1163C22×D3—94no—
1164C22×D3—94no—
1165C22×D3—128no—
1166C22×D3—128no—
1167C22×D3—184no—
1168C22×D3—184no—
1169C22×D3—184no—
1170C22×D3—1816no—
1171C22×D3—1816no—
1172C22×D3—1816no—
1173C22×D3—184no—
1174C22×D3—1816no—
1175C22×D3—184no—
1176C22×D3—181no—
1177C22×D3—184no—
1178C22×D3—3616no—
1179C22×D3—364no—
1180C22×D3—368no—
1181C22×D3—368no—
1182C22×D3—362no—
1183C22×D3—362no—
1184C22×D3—3632no—
1185C22×D3—362no—
1186C22×D3—362no—
1187C22×D3—36128no—
1188C22×D3—368no—
1189C22×D3—368no—
1190C22×D3—362no—
1191C22×D3—362no—
1192C22×D3—368no—
1193C22×D3—368no—
1194C22×D3—368no—
1195C22×D3—368no—
1196C22×D3—362no—
1197C22×D3—362no—
1198C22×D3—728no—
1199C22×D3—728no—
1200C22×D3D4×C3⋊D311yescharacteristic
1201C3×D4—24no—
1202C3×D4—21no—
1203C3×D4—28no—
1204C3×D4—38no—
1205C3×D4—44no—
1206C3×D4—616no—
1207C3×D4—64no—
1208C3×D4—92no—
1209C3×D4—184no—
1210C3×D4—181no—
1211C3×D4C4×D3218yescomplemented
1212C3×D4C2×C4×C3⋊D312yescomplemented
1213C2×C3×C4—24no—
1214C2×C3×C4—21no—
1215C2×C3×C4—24no—
1216C2×C3×C4—34no—
1217C2×C3×C4—38no—
1218C2×C3×C4—38no—
1219C2×C3×C4—44no—
1220C2×C3×C4—64no—
1221C2×C3×C4—91no—
1222C2×C3×C4—92no—
1223C2×C3×C4—92no—
1224C2×C3×C4—128no—
1225C2×C3×C4—181no—
1226C2×C3×C4—362no—
1227C2×C3×C4C22×D3214yes—
1228C2×C3×C4C23×C3⋊D311yescharacteristic
1229#67—24no—
1230#67—616no—
1231#67—1816no—
1232#67—184no—
1233#67—1816no—
1234#67—184no—
1235#67—1816no—
1236#67—184no—
1237#67—3616no—
1238C2×Dic3—21no—
1239C2×Dic3—34no—
1240C2×Dic3—64no—
1241C2×Dic3—916no—
1242C2×Dic3—94no—
1243C2×Dic3—91no—
1244C2×Dic3—94no—
1245C2×Dic3—184no—
1246C2×Dic3—184no—
1247C2×Dic3—181no—
1248C2×Dic3—364no—
1249C2×Dic3—362no—
1250C2×Dic3—368no—
1251C2×Dic3D4×C3⋊D311yescharacteristic
1252D12—21no—
1253D12—38no—
1254D12—64no—
1255D12—98no—
1256D12—92no—
1257D12—188no—
1258D12—1816no—
1259D12—184no—
1260D12—184no—
1261D12—181no—
1262D12—364no—
1263D12C2×C4×C3⋊D312yescomplemented
1264C4×D3—38no—
1265C4×D3—38no—
1266C4×D3—42no—
1267C4×D3—916no—
1268C4×D3—916no—
1269C4×D3—94no—
1270C4×D3—98no—
1271C4×D3—98no—
1272C4×D3—92no—
1273C4×D3—92no—
1274C4×D3—94no—
1275C4×D3—128no—
1276C4×D3—188no—
1277C4×D3—188no—
1278C4×D3—362no—
1279C4×D3—368no—
1280C4×D3—362no—
1281C4×D3—368no—
1282C4×D3—368no—
1283C4×D3—362no—
1284C4×D3—728no—
1285C4×D3C2×C4×C3⋊D312yes—
1286C4×D3D4×C3⋊D312yes—
1287C3×C8—24no—
1288C3×C8—21no—
1289C3×C8—44no—
1290C3×C8—64no—
1291C3×C8—181no—
1292C3⋊C8—21no—
1293C3⋊C8—64no—
1294C3⋊C8—184no—
1295C3⋊C8—181no—
1296C3⋊C8—364no—
1297C2×C32—24no—
1298C2×C32—24no—
1299C2×C32—24no—
1300C2×C32—34no—
1301C2×C32—42no—
1302C2×C32—48no—
1303C2×C32—88no—
1304C2×C32—122no—
1305C2×C32C2×D3×C22⋊C414yes—
1306C2×C32C2×D3×C22⋊C411yescharacteristic
1307C2×C32C2×D3×D814yes—
1308C2×C32C2×D3×D811yescharacteristic
1309C2×C32C2×D3×SD1614yes—
1310C2×C32C2×D3×SD1611yescharacteristic
1311C3⋊D3—34no—
1312C3⋊D3—316no—
1313C3⋊D3—42no—
1314C3⋊D3—616no—
1315C3⋊D3—122no—
1316C3⋊D3—128no—
1317C3⋊D3—248no—
1318C3⋊D3D3×#10214yesdirect product factor
1319C3×D3—316no—
1320C3×D3—48no—
1321C3×D3—128no—
1322C3×D3D3×#102116yescomplemented
1323C24—61no—
1324C24—181no—
1325C24—271no—
1326C24—541no—
1327C24—541no—
1328C24—541no—
1329C24—548no—
1330C24—541no—
1331C24—1084no—
1332C24—1084no—
1333C2×D4—34no—
1334C2×D4—31no—
1335C2×D4—62no—
1336C2×D4—61no—
1337C2×D4—94no—
1338C2×D4—91no—
1339C2×D4—182no—
1340C2×D4—181no—
1341C2×D4—274no—
1342C2×D4—274no—
1343C2×D4—274no—
1344C2×D4—274no—
1345C2×D4—271no—
1346C2×D4—542no—
1347C2×D4—541no—
1348C2×D4—542no—
1349C2×D4—541no—
1350C2×D4—542no—
1351C2×D4—548no—
1352C2×D4—542no—
1353C2×D4—548no—
1354C2×D4—548no—
1355C2×D4—541no—
1356C2×D4—541no—
1357C2×D4C2×D3×C3⋊D311yescharacteristic
1358C22×C4—31no—
1359C22×C4—61no—
1360C22×C4—91no—
1361C22×C4—181no—
1362C22×C4—271no—
1363C22×C4—274no—
1364C22×C4—274no—
1365C22×C4—271no—
1366C22×C4—271no—
1367C22×C4—271no—
1368C22×C4—541no—
1369C22×C4—541no—
1370C22×C4—541no—
1371C22×C4—541no—
1372C22×C4—1084no—
1373C2×C8—31no—
1374C2×C8—62no—
1375C2×C8—91no—
1376C2×C8—182no—
1377C2×C8—271no—
1378C2×C8—542no—
1379C2×C8—542no—
1380C2×C8—542no—
1381C2×C8—542no—
1382C2×C8C2×D3×C3⋊D311yescharacteristic, complemented
1383C4⋊C4—31no—
1384C4⋊C4—61no—
1385C4⋊C4—91no—
1386C4⋊C4—181no—
1387C4⋊C4—271no—
1388C4⋊C4—541no—
1389C4⋊C4—541no—
1390C4⋊C4—541no—
1391C4⋊C4—541no—
1392C4⋊C4C2×D3×C3⋊D311yescharacteristic, complemented
1393C22×C3—22no—
1394C22×C3—28no—
1395C22×C3—24no—
1396C22×C3—38no—
1397C22×C3—38no—
1398C22×C3—38no—
1399C22×C3—48no—
1400C22×C3—41no—
1401C22×C3—41no—
1402C22×C3—44no—
1403C22×C3—44no—
1404C22×C3—68no—
1405C22×C3—84no—
1406C22×C3—84no—
1407C22×C3—92no—
1408C22×C3—92no—
1409C22×C3—92no—
1410C22×C3—1232no—
1411C22×C3—124no—
1412C22×C3—124no—
1413C22×C3—182no—
1414C22×C3—368no—
1415C22×C3—361no—
1416C22×C3—361no—
1417C22×C3D32×D414yes—
1418C22×C3C2×D4×C3⋊D311yescharacteristic
1419C2×D3—22no—
1420C2×D3—38no—
1421C2×D3—38no—
1422C2×D3—38no—
1423C2×D3—41no—
1424C2×D3—41no—
1425C2×D3—48no—
1426C2×D3—68no—
1427C2×D3—964no—
1428C2×D3—92no—
1429C2×D3—92no—
1430C2×D3—92no—
1431C2×D3—98no—
1432C2×D3—98no—
1433C2×D3—98no—
1434C2×D3—916no—
1435C2×D3—1232no—
1436C2×D3—124no—
1437C2×D3—124no—
1438C2×D3—188no—
1439C2×D3—188no—
1440C2×D3—188no—
1441C2×D3—182no—
1442C2×D3—188no—
1443C2×D3—368no—
1444C2×D3—3632no—
1445C2×D3—368no—
1446C2×D3—368no—
1447C2×D3—3632no—
1448C2×D3—368no—
1449C2×D3—3632no—
1450C2×D3—3632no—
1451C2×D3—361no—
1452C2×D3—361no—
1453C2×D3—364no—
1454C2×D3—364no—
1455C2×D3—368no—
1456C2×D3—7232no—
1457C2×D3—724no—
1458C2×D3—724no—
1459C2×D3C22⋊C4×C3⋊D312yes—
1460C2×D3D8×C3⋊D312yes—
1461C2×D3SD16×C3⋊D312yes—
1462C3×C4—24no—
1463C3×C4—24no—
1464C3×C4—38no—
1465C3×C4—41no—
1466C3×C4—44no—
1467C3×C4—84no—
1468C3×C4—92no—
1469C3×C4—124no—
1470C3×C4—361no—
1471C3×C4C2×C4×D3214yes—
1472C3×C4D32×D414yes—
1473C3×C4C22×C4×C3⋊D311yescharacteristic
1474C3×C4C2×D4×C3⋊D311yescharacteristic
1475Dic3—38no—
1476Dic3—41no—
1477Dic3—92no—
1478Dic3—98no—
1479Dic3—124no—
1480Dic3—188no—
1481Dic3—361no—
1482Dic3—364no—
1483Dic3—724no—
1484Dic3C22⋊C4×C3⋊D312yes—
1485C32—24no—
1486C32C2×D3×#10214yescomplemented
1487C32C2×D3×#10211yescharacteristic, complemented
1488C23—21no—
1489C23—31no—
1490C23—64no—
1491C23—61no—
1492C23—91no—
1493C23—122no—
1494C23—122no—
1495C23—184no—
1496C23—181no—
1497C23—274no—
1498C23—274no—
1499C23—274no—
1500C23—271no—
1501C23—362no—
1502C23—362no—
1503C23—544no—
1504C23—544no—
1505C23—544no—
1506C23—544no—
1507C23—541no—
1508C23—1082no—
1509C23—1082no—
1510C23—1082no—
1511C23—1082no—
1512C23—1082no—
1513C23—1082no—
1514C23—10832no—
1515C23—1082no—
1516C23—1082no—
1517D4—21no—
1518D4—32no—
1519D4—64no—
1520D4—61no—
1521D4—92no—
1522D4—184no—
1523D4—181no—
1524D4—272no—
1525D4—544no—
1526D4—544no—
1527D4—544no—
1528D4—544no—
1529D4—541no—
1530D4C4×D3×C3⋊D312yescomplemented
1531C2×C4—21no—
1532C2×C4—31no—
1533C2×C4—32no—
1534C2×C4—32no—
1535C2×C4—61no—
1536C2×C4—91no—
1537C2×C4—92no—
1538C2×C4—92no—
1539C2×C4—122no—
1540C2×C4—181no—
1541C2×C4—274no—
1542C2×C4—274no—
1543C2×C4—274no—
1544C2×C4—271no—
1545C2×C4—272no—
1546C2×C4—272no—
1547C2×C4—362no—
1548C2×C4—541no—
1549C2×C4—1082no—
1550C2×C4—1082no—
1551C2×C4—1082no—
1552C2×C4—1082no—
1553C2×C4C22×D3×C3⋊D311yescharacteristic
1554C8—21no—
1555C8—61no—
1556C8—181no—
1557C8—541no—
1558C2×C3—24no—
1559C2×C3—24no—
1560C2×C3—24no—
1561C2×C3—316no—
1562C2×C3—42no—
1563C2×C3—48no—
1564C2×C3—88no—
1565C2×C3—94no—
1566C2×C3—128no—
1567C2×C3—362no—
1568C2×C3D32×C22⋊C414yes—
1569C2×C3D32×D814yes—
1570C2×C3D32×SD1614yes—
1571C2×C3C2×C22⋊C4×C3⋊D311yescharacteristic
1572C2×C3C2×D8×C3⋊D311yescharacteristic
1573C2×C3C2×SD16×C3⋊D311yescharacteristic
1574D3—316no—
1575D3—42no—
1576D3—94no—
1577D3—916no—
1578D3—128no—
1579D3—1816no—
1580D3—362no—
1581D3—368no—
1582D3—728no—
1583D3C3⋊D3×#10214yesdirect product factor
1584C22—22no—
1585C22—32no—
1586C22—32no—
1587C22—32no—
1588C22—41no—
1589C22—41no—
1590C22—62no—
1591C22—92no—
1592C22—92no—
1593C22—92no—
1594C22—128no—
1595C22—121no—
1596C22—121no—
1597C22—182no—
1598C22—2716no—
1599C22—272no—
1600C22—272no—
1601C22—272no—
1602C22—368no—
1603C22—361no—
1604C22—361no—
1605C22—542no—
1606C22—1088no—
1607C22—1088no—
1608C22—1088no—
1609C22—1088no—
1610C22—1081no—
1611C22—1081no—
1612C22D3×D4×C3⋊D311yescharacteristic
1613C4—32no—
1614C4—41no—
1615C4—92no—
1616C4—121no—
1617C4—272no—
1618C4—361no—
1619C4—1081no—
1620C4C2×C4×D3×C3⋊D311yescharacteristic
1621C4D3×D4×C3⋊D311yescharacteristic
1622C3—24no—
1623C3C2×C3⋊D3×#10211yescharacteristic, complemented
1624C3D32×#10214yescomplemented
1625C2—34no—
1626C2—42no—
1627C2—94no—
1628C2—122no—
1629C2—274no—
1630C2—362no—
1631C2—1082no—
1632C2D3×C22⋊C4×C3⋊D311yescharacteristic
1633C2D3×D8×C3⋊D311yescharacteristic
1634C2D3×SD16×C3⋊D311yescharacteristic
subgroupG/H
centerC22D3×D4×C3⋊D3
commutatorC33×C4C23×C4
FrattiniC2×C4C22×D3×C3⋊D3
FittingC33×#102C22
socleC22×C33C22×D4
prime radicalC2×D3×D4×C3⋊D3C2
cosocleC2×C33×C4C24
hypercenter#102D3×C3⋊D3
hypocenterC33C22×#102
LCSG ▷ C33×C4 ▷ C2×C33 ▷ C33
UCSC1 ◁ C22 ◁ C2×C4 ◁ #102

Complements

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

NH ≅ G/Ntype
2. C2×D3×C8×C3⋊D3C2semidirect
3. D3×C4⋊C4×C3⋊D3C2semidirect
4. #102×C3⋊(C3⋊D3)C2semidirect
5. C3×C3⋊D3×#102C2semidirect
6. C32×D3×#102C2semidirect
7. #13160889C2semidirect
8. D3×#63659C2semidirect
9. C3⋊D3×#832C2semidirect
10. #13160034C2semidirect
11. D3×#63648C2semidirect
12. C3⋊D3×#821C2semidirect
13. #13159415C2semidirect
14. D3×#63636C2semidirect
15. C3⋊D3×#809C2semidirect
26. D3×D4×C3⋊D3C4semidirect
32. C2×C8×C3⋊(C3⋊D3)C22semidirect
33. C4⋊C4×C3⋊(C3⋊D3)C22semidirect
34. C2×C3×C8×C3⋊D3C22semidirect
35. C3×C4⋊C4×C3⋊D3C22semidirect
36. C2×C32×D3×C8C22semidirect
37. C32×D3×C4⋊C4C22semidirect
38. #11723503C22semidirect
39. C3⋊D3×C4⋊Dic3C22semidirect
40. D3×C4⋊(C3⋊Dic3)C22semidirect
44. C2×#88785C22semidirect
45. C2×C3⋊D3×C3⋊C8C22semidirect
46. C2×D3×C3⋊(C3⋊C8)C22semidirect
48. C33×#102C22semidirect
49. #11722202C22semidirect
50. #11722191C22semidirect
51. #11722179C22semidirect
52. C3×#63659C22semidirect
53. C3×#63648C22semidirect
54. C3×#63636C22semidirect
55. C32×#832C22semidirect
56. C32×#821C22semidirect
57. C32×#809C22semidirect
58. #11722036C22semidirect
59. #11722035C22semidirect
60. #11722034C22semidirect
61. #11722033C22semidirect
62. #11722032C22semidirect
63. #11722031C22semidirect
83. C3⋊D3×#102D3direct (N × H)
85. C3×D3×#102D3semidirect
108. D4×C3⋊(C3⋊D3)C2×C4semidirect
114. C3×D4×C3⋊D3C2×C4semidirect
120. C32×D3×D4C2×C4semidirect
137. #89026C2×C4semidirect
139. C3⋊D3×D12C2×C4semidirect
141. D3×C4⋊(C3⋊D3)C2×C4semidirect
145. C2×C33×C8C23semidirect
146. C33×C4⋊C4C23semidirect
147. C4⋊(C3⋊(C3⋊Dic3))C23semidirect
149. C2×C3⋊(C3⋊(C3⋊C8))C23semidirect
151. C3×C4⋊(C3⋊Dic3)C23semidirect
153. C2×C3×C3⋊(C3⋊C8)C23semidirect
155. C32×C4⋊Dic3C23semidirect
157. C2×C32×C3⋊C8C23semidirect
207. C2×C8×C3⋊D3C2×D3semidirect
215. C4⋊C4×C3⋊D3C2×D3semidirect
217. C2×C3×D3×C8C2×D3semidirect
219. C3×D3×C4⋊C4C2×D3semidirect
234. C32×#102C2×D3semidirect
235. C32×#102C2×D3semidirect
241. #63659C2×D3semidirect
247. #63648C2×D3semidirect
253. #63636C2×D3semidirect
255. C3×#832C2×D3semidirect
257. C3×#821C2×D3semidirect
259. C3×#809C2×D3semidirect
296. C33×D4C22×C4semidirect
303. C4⋊(C3⋊(C3⋊D3))C22×C4semidirect
311. C3×C4⋊(C3⋊D3)C22×C4semidirect
319. C32×D12C22×C4semidirect
366. D3×#102C3⋊D3direct (N × H)
419. D4×C3⋊D3C4×D3semidirect
447. C3×D3×D4C4×D3semidirect
478. C2×C32×C8C22×D3semidirect
479. C2×C32×C8C22×D3semidirect
483. C32×C4⋊C4C22×D3semidirect
484. C32×C4⋊C4C22×D3semidirect
489. C4⋊(C3⋊Dic3)C22×D3semidirect
500. C2×C3⋊(C3⋊C8)C22×D3semidirect
508. C3×C4⋊Dic3C22×D3semidirect
512. C2×C3×C3⋊C8C22×D3semidirect
550. D3×C3⋊D3#102direct (N × H)
609. C2×D3×C8C2×C3⋊D3semidirect
622. D3×C4⋊C4C2×C3⋊D3semidirect
630. C3×#102D32semidirect
631. C3×#102C2×C3⋊D3semidirect
640. #832C2×C3⋊D3semidirect
649. #821C2×C3⋊D3semidirect
658. #809C2×C3⋊D3semidirect
730. C32×D4C2×C4×D3semidirect
731. C32×D4C2×C4×D3semidirect
767. C4⋊(C3⋊D3)C2×C4×D3semidirect
793. C3×D12C2×C4×D3semidirect
839. C3⋊(C3⋊D3)C2×#102semidirect
841. C3×C3⋊D3C2×#102semidirect
843. C32×D3C2×#102semidirect
916. D3×D4C4×C3⋊D3semidirect
957. C2×C3×C8C2×D32semidirect
958. C2×C3×C8C22×C3⋊D3semidirect
964. C3×C4⋊C4C2×D32semidirect
965. C3×C4⋊C4C22×C3⋊D3semidirect
972. C4⋊Dic3C22×C3⋊D3semidirect
988. C2×C3⋊C8C22×C3⋊D3semidirect
1135. #102D3×C3⋊D3direct (N × H)
1136. C33C22×#102semidirect
1211. C3×D4C4×D32semidirect
1212. C3×D4C2×C4×C3⋊D3semidirect
1263. D12C2×C4×C3⋊D3semidirect
1318. C3⋊D3D3×#102direct (N × H)
1322. C3×D3D3×#102semidirect
1382. C2×C8C2×D3×C3⋊D3semidirect
1392. C4⋊C4C2×D3×C3⋊D3semidirect
1486. C32C2×D3×#102semidirect
1487. C32C2×D3×#102semidirect
1530. D4C4×D3×C3⋊D3semidirect
1583. D3C3⋊D3×#102direct (N × H)
1623. C3C2×C3⋊D3×#102semidirect
1624. C3D32×#102semidirect

Maximal subgroups

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

subgroupindex
C2×D3×D4×C3⋊D32
C2×D3×C8×C3⋊D32
D3×C4⋊C4×C3⋊D32
#102×C3⋊(C3⋊D3)2
C3×C3⋊D3×#1022
C32×D3×#1022
#131608892
D3×#636592
C3⋊D3×#8322
#131600342
D3×#636482
C3⋊D3×#8212
#131594152
D3×#636362
C3⋊D3×#8092
D32×#1023
C2×C3⋊D3×#1023