Finite Group Databasebeta

← D3×#89039 #72220353

Subgroups — D3×#89039 #72220353

Order 2592.

4946 conjugacy classes of subgroups.

The subgroup lattice has 1474 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×D3×C3⋊(C3⋊D3)C211yesmaximal, characteristic, complemented
2C2×D32×C3⋊D3C211yesmaximal, characteristic, complemented
3#13049720C211yesmaximal, characteristic, complemented
4#13049703C211yesmaximal, characteristic, complemented
5#13049685C211yesmaximal, characteristic, complemented
6C3×#89039C211yesmaximal, characteristic, complemented
7C3×D3×#638C211yesmaximal, characteristic, complemented
8C32×D3×#67C211yesmaximal, characteristic, complemented
9#13049503C211yesmaximal, characteristic, complemented
10#13049502C211yesmaximal, characteristic, complemented
11#13049500C211yesmaximal, characteristic, complemented
12D3×#6291C211yesmaximal, characteristic, complemented
13#13049496C211yesmaximal, characteristic, complemented
14D3×#6292C211yesmaximal, characteristic, complemented
15D3×#6289C211yesmaximal, characteristic, complemented
16C2×#89039—31nomaximal
17D3×D4×C3⋊D3—31nomaximal
18D3×#3811—34nomaximal
19C22×C3⋊(C3⋊(C3⋊D3))C2211yescharacteristic, complemented
20C22×C3×C3⋊(C3⋊D3)C2211yescharacteristic, complemented
21C22×C33×D3C2211yescharacteristic, complemented
22C2×C3⋊#1113C2211yescharacteristic, complemented
23C2×C3⋊D32C2211yescharacteristic, complemented
24C2×D3×C3⋊(C3⋊D3)—24no—
25C2×D3×C3⋊(C3⋊D3)C2211yescharacteristic
26C2×D3×C3⋊(C3⋊D3)C2211yescharacteristic, complemented
27C2×D3×C3⋊(C3⋊D3)C2211yescharacteristic, complemented
28C2×D3×C3⋊(C3⋊D3)C2211yescharacteristic, complemented
29C2×D3×C3⋊(C3⋊D3)C2211yescharacteristic, complemented
30C2×C3×D3×C3⋊D3C2211yescharacteristic, complemented
31C2×C3×D3×C3⋊D3C2211yescharacteristic, complemented
32C2×C32×D32C2211yescharacteristic, complemented
33D32×C3⋊D3—24no—
34C3×#6312C2211yescharacteristic, complemented
35C32×#638C2211yescharacteristic, complemented
36C32×#638C2211yescharacteristic, complemented
37C33×#67C2211yescharacteristic, complemented
38#10620157C2211yescharacteristic, complemented
39#10620156C2211yescharacteristic, complemented
40#10620154C2211yescharacteristic, complemented
41#10620152C2211yescharacteristic, complemented
42#10620152C2211yescharacteristic, complemented
43#10620150C2211yescharacteristic, complemented
44#10620147C2211yescharacteristic, complemented
45#10620146C2211yescharacteristic, complemented
46#10620144C2211yescharacteristic, complemented
47C3×#6292C2211yescharacteristic, complemented
48C3×#6291C2211yescharacteristic, complemented
49C3×#6291C2211yescharacteristic, complemented
50C3×#6290C2211yescharacteristic, complemented
51C3×#6289C2211yescharacteristic, complemented
52C3×D3×C3⋊Dic3C2211yescharacteristic, complemented
53C32×#626C2211yescharacteristic, complemented
54C32×#625C2211yescharacteristic, complemented
55C32×D3×Dic3C2211yescharacteristic, complemented
56C23×C3⋊(C3⋊D3)—31no—
57C22×D3×C3⋊D3—31no—
58C22×D3×C3⋊D3—31no—
59C22×D3×C3⋊D3—31no—
60C22×D3×C3⋊D3—34no—
61C22×D3×C3⋊D3—64no—
62C2×D33—34no—
63D4×C3⋊(C3⋊D3)—31no—
64C2×C3×#638—31no—
65C3×D4×C3⋊D3—31no—
66C2×C32×#67—31no—
67C32×D3×D4—31no—
68#89049—34no—
69#89039—31no—
70#89039—31no—
71#89039—31no—
72#89039—31no—
73#89039—34no—
74#89039—31no—
75#89039—34no—
76#89039—31no—
77#89039—31no—
78#89039—31no—
79#89039—31no—
80#89039—64no—
81#89039—61no—
82#89039D311yescharacteristic, direct product factor
83C3⋊D3×#67—31no—
84C3⋊D3×#67—31no—
85D3×#638—31no—
86D3×#638D311yescharacteristic, complemented
87C2×#6292—31no—
88C2×#6291—31no—
89C2×#6289—31no—
90#89026—31no—
91C3⋊D3×D12—31no—
92D3×C4⋊(C3⋊D3)—31no—
93C4×D3×C3⋊D3—31no—
94C3×#3811—34no—
95C3×D3×#67—34no—
96C3×D3×#67D314yescomplemented
97#88955—34no—
98#88954—34no—
99#88954—34no—
100#88952—34no—
101D3×#626—34no—
102D3×#626—34no—
103D3×#624—34no—
104C22×C34C2311yescharacteristic, complemented
105C2×C3⋊(C3⋊(C3⋊D3))—22no—
106C2×C3⋊(C3⋊(C3⋊D3))C2311yescharacteristic
107C2×C3⋊(C3⋊(C3⋊D3))C2311yescharacteristic, complemented
108C2×C3×C3⋊(C3⋊D3)—22no—
109C2×C3×C3⋊(C3⋊D3)C2311yescharacteristic
110C2×C3×C3⋊(C3⋊D3)C2311yescharacteristic, complemented
111C2×C3×C3⋊(C3⋊D3)C2311yescharacteristic, complemented
112C2×C32×C3⋊D3C2311yescharacteristic, complemented
113C2×C32×C3⋊D3C2311yescharacteristic, complemented
114C2×C33×D3—22no—
115C2×C33×D3C2311yescharacteristic
116C2×C33×D3C2311yescharacteristic, complemented
117C2×C33×D3C2311yescharacteristic, complemented
118C3⋊#1113—22no—
119C3⋊D32—22no—
120D3×C3⋊(C3⋊D3)—22no—
121D3×C3⋊(C3⋊D3)—22no—
122D3×C3⋊(C3⋊D3)—22no—
123D3×C3⋊(C3⋊D3)—22no—
124D3×C3⋊(C3⋊D3)D414yescomplemented
125C3×D3×C3⋊D3—22no—
126C3×D3×C3⋊D3—22no—
127C32×D32—22no—
128C3×C3⋊(C3⋊Dic3)C2311yescharacteristic, complemented
129C32×C3⋊Dic3C2311yescharacteristic, complemented
130C32×C3⋊Dic3C2311yescharacteristic, complemented
131C33×Dic3C2311yescharacteristic, complemented
132C2×D4×C3⋊D3—91no—
133C2×#3811—94no—
134D32×D4—94no—
135D32×D4—91no—
136C23×C33—31no—
137C22×C3⋊(C3⋊D3)—31no—
138C22×C3⋊(C3⋊D3)—31no—
139C22×C3⋊(C3⋊D3)—31no—
140C22×C3⋊(C3⋊D3)—34no—
141C22×C3⋊(C3⋊D3)—31no—
142C22×C3⋊(C3⋊D3)—31no—
143C22×C3⋊(C3⋊D3)—31no—
144C22×C3⋊(C3⋊D3)—31no—
145C22×C3⋊(C3⋊D3)—64no—
146C22×C3⋊(C3⋊D3)—64no—
147C22×C3⋊(C3⋊D3)—64no—
148C22×C3⋊(C3⋊D3)—61no—
149C22×C3⋊(C3⋊D3)—124no—
150C22×C3⋊(C3⋊D3)C2×D311yescharacteristic, complemented
151C22×C3×C3⋊D3—31no—
152C22×C3×C3⋊D3—34no—
153C22×C3×C3⋊D3—31no—
154C22×C3×C3⋊D3—31no—
155C22×C3×C3⋊D3—64no—
156C22×C32×D3—24no—
157C22×C32×D3—31no—
158C22×C32×D3—31no—
159C22×C32×D3C2×D314yescomplemented
160C22×C32×D3C2×D311yescharacteristic, complemented
161C2×#1113—34no—
162C2×D3×C3⋊D3—31no—
163C2×D3×C3⋊D3—34no—
164C2×D3×C3⋊D3—31no—
165C2×D3×C3⋊D3—31no—
166C2×D3×C3⋊D3—31no—
167C2×D3×C3⋊D3—31no—
168C2×D3×C3⋊D3—34no—
169C2×D3×C3⋊D3—31no—
170C2×D3×C3⋊D3—34no—
171C2×D3×C3⋊D3—31no—
172C2×D3×C3⋊D3—31no—
173C2×D3×C3⋊D3—31no—
174C2×D3×C3⋊D3—34no—
175C2×D3×C3⋊D3—34no—
176C2×D3×C3⋊D3—34no—
177C2×D3×C3⋊D3—64no—
178C2×D3×C3⋊D3—64no—
179C2×D3×C3⋊D3—64no—
180C2×D3×C3⋊D3—616no—
181C2×D3×C3⋊D3—64no—
182C2×D3×C3⋊D3—64no—
183C2×D3×C3⋊D3—64no—
184C2×D3×C3⋊D3—64no—
185C2×D3×C3⋊D3—632no—
186C2×D3×C3⋊D3—64no—
187C2×D3×C3⋊D3—61no—
188C2×D3×C3⋊D3C2×D311yescharacteristic, complemented
189C2×D3×C3⋊D3C2×D311yescharacteristic, complemented
190C2×C3×D32—34no—
191C2×C3×D32—34no—
192C2×C3×D32C2×D314yescomplemented
193D33—616no—
194C33×D4—31no—
195#6312—31no—
196#6312C2×D311yescharacteristic, complemented
197C4⋊(C3⋊(C3⋊D3))—31no—
198C4×C3⋊(C3⋊D3)—31no—
199C3×#638—21no—
200C3×#638—31no—
201C3×#638—34no—
202C3×#638—31no—
203C3×#638—31no—
204C3×#638—31no—
205C3×#638—64no—
206C3×#638C2×D311yescharacteristic, complemented
207C3×#638C2×D311yescharacteristic, complemented
208C3×#638C2×D314yescomplemented
209C2×C3×C3⋊Dic3—31no—
210C3×C4⋊(C3⋊D3)—31no—
211C3×C4×C3⋊D3—31no—
212C32×#67—24no—
213C32×#67—31no—
214C32×#67—31no—
215C32×#67—34no—
216C32×#67—31no—
217C32×#67—31no—
218C32×#67—31no—
219C32×#67—61no—
220C32×#67C2×D314yescomplemented
221C32×#67C2×D311yescharacteristic, complemented
222C2×C32×Dic3—31no—
223C32×D12—31no—
224C32×C4×D3—31no—
225#6295—34no—
226#6295—34no—
227#6294—34no—
228#6292—31no—
229#6292—31no—
230#6292—31no—
231#6292—31no—
232#6292—34no—
233#6292—31no—
234#6292—34no—
235#6292—64no—
236#6292—61no—
237#6292C2×D311yescharacteristic, complemented
238#6291—31no—
239#6291—31no—
240#6291—34no—
241#6291—31no—
242#6291—31no—
243#6291—34no—
244#6291—61no—
245#6291—64no—
246#6291C2×D311yescharacteristic, complemented
247#6291C2×D311yescharacteristic, complemented
248#6290—31no—
249#6290C2×D311yescharacteristic, complemented
250#6289—31no—
251#6289—31no—
252#6289—31no—
253#6289—34no—
254#6289—31no—
255#6289—34no—
256#6289—64no—
257#6289—61no—
258#6289C2×D311yescharacteristic, complemented
259Dic3×C3⋊D3—31no—
260D3×C3⋊Dic3C2×D311yescharacteristic, complemented
261C3×#626—34no—
262C3×#626—34no—
263C3×#626—34no—
264C3×#626C2×D314yescomplemented
265C3×#625—34no—
266C3×#625C2×D314yescomplemented
267C3×#624—34no—
268C3×D3×Dic3—34no—
269C3×D3×Dic3C2×D314yescomplemented
270C2×C34—21no—
271C2×C34C2411yescharacteristic
272C3⋊(C3⋊(C3⋊D3))—21no—
273C3⋊(C3⋊(C3⋊D3))C2×D412yescomplemented
274C3×C3⋊(C3⋊D3)—21no—
275C3×C3⋊(C3⋊D3)—21no—
276C3×C3⋊(C3⋊D3)C2×D412yescomplemented
277C32×C3⋊D3—21no—
278C32×C3⋊D3—21no—
279C33×D3—21no—
280C33×D3—21no—
281C33×D3C2×D412yescomplemented
282C23×C3⋊D3—91no—
283C23×C3⋊D3—91no—
284C23×C3⋊D3—94no—
285C23×C3⋊D3—184no—
286C22×D32—94no—
287C22×D32—94no—
288C22×D32—94no—
289C22×D32—91no—
290C22×D32—91no—
291C22×D32—184no—
292C2×C32×D4—91no—
293C2×#638—31no—
294C2×#638—91no—
295D4×C3⋊D3—31no—
296D4×C3⋊D3—91no—
297D4×C3⋊D3—91no—
298D4×C3⋊D3—91no—
299D4×C3⋊D3—91no—
300D4×C3⋊D3—94no—
301D4×C3⋊D3—91no—
302D4×C3⋊D3—91no—
303D4×C3⋊D3—91no—
304D4×C3⋊D3—91no—
305D4×C3⋊D3—184no—
306C2×C4⋊(C3⋊D3)—91no—
307C2×C4×C3⋊D3—91no—
308C2×C3×#67—34no—
309C2×C3×#67—94no—
310C3×D3×D4—34no—
311C3×D3×D4—94no—
312C3×D3×D4—91no—
313C3×D3×D4—91no—
314#3811—34no—
315#3811—94no—
316#3811—94no—
317#3811—94no—
318#3811—94no—
319#3811—94no—
320#3811—94no—
321#3811—94no—
322#3811—94no—
323#3811—94no—
324#3811—91no—
325#3811—91no—
326#3811—184no—
327#3811—184no—
328D3×#67—34no—
329D3×#67—94no—
330D3×#67—94no—
331D3×#67—94no—
332D3×#67—91no—
333D3×#67—91no—
334D3×#67—91no—
335D3×#67C3⋊D311yescharacteristic, complemented
336C2×#626—94no—
337C2×#626—94no—
338C2×#624—94no—
339#3802—94no—
340#3802—91no—
341D3×D12—94no—
342D3×D12—94no—
343D3×D12—91no—
344D3×D12—91no—
345C4×D32—94no—
346C4×D32—91no—
347C22×C33—24no—
348C22×C33—24no—
349C22×C33—21no—
350C22×C33—31no—
351C22×C33—31no—
352C22×C33—31no—
353C22×C33—44no—
354C22×C33—62no—
355C22×C33C22×D311yescharacteristic, complemented
356C22×C33C22×D311yescharacteristic, complemented
357C22×C33C22×D314yescomplemented
358C2×C3⋊(C3⋊D3)—22no—
359C2×C3⋊(C3⋊D3)—31no—
360C2×C3⋊(C3⋊D3)—31no—
361C2×C3⋊(C3⋊D3)—34no—
362C2×C3⋊(C3⋊D3)—34no—
363C2×C3⋊(C3⋊D3)—31no—
364C2×C3⋊(C3⋊D3)—31no—
365C2×C3⋊(C3⋊D3)—34no—
366C2×C3⋊(C3⋊D3)—62no—
367C2×C3⋊(C3⋊D3)—62no—
368C2×C3⋊(C3⋊D3)—62no—
369C2×C3⋊(C3⋊D3)—62no—
370C2×C3⋊(C3⋊D3)—62no—
371C2×C3⋊(C3⋊D3)—68no—
372C2×C3⋊(C3⋊D3)—64no—
373C2×C3⋊(C3⋊D3)—61no—
374C2×C3⋊(C3⋊D3)—64no—
375C2×C3⋊(C3⋊D3)—64no—
376C2×C3⋊(C3⋊D3)—616no—
377C2×C3⋊(C3⋊D3)—62no—
378C2×C3⋊(C3⋊D3)—64no—
379C2×C3⋊(C3⋊D3)—61no—
380C2×C3⋊(C3⋊D3)—122no—
381C2×C3⋊(C3⋊D3)—128no—
382C2×C3⋊(C3⋊D3)—124no—
383C2×C3⋊(C3⋊D3)—124no—
384C2×C3⋊(C3⋊D3)—1216no—
385C2×C3⋊(C3⋊D3)C22×D311yescharacteristic
386C2×C3⋊(C3⋊D3)C22×D311yescharacteristic, complemented
387C2×C3⋊(C3⋊D3)C22×D311yescharacteristic, complemented
388C2×C3×C3⋊D3—21no—
389C2×C3×C3⋊D3—31no—
390C2×C3×C3⋊D3—34no—
391C2×C3×C3⋊D3—31no—
392C2×C3×C3⋊D3—31no—
393C2×C3×C3⋊D3—34no—
394C2×C3×C3⋊D3—34no—
395C2×C3×C3⋊D3—62no—
396C2×C3×C3⋊D3—62no—
397C2×C3×C3⋊D3—62no—
398C2×C3×C3⋊D3—68no—
399C2×C3×C3⋊D3—64no—
400C2×C3×C3⋊D3—64no—
401C2×C3×C3⋊D3—616no—
402C2×C3×C3⋊D3—64no—
403C2×C3×C3⋊D3C22×D311yescharacteristic, complemented
404C2×C3×C3⋊D3C22×D311yescharacteristic, complemented
405C2×C3×C3⋊D3C22×D314yescomplemented
406C2×C32×D3—216no—
407C2×C32×D3—24no—
408C2×C32×D3—24no—
409C2×C32×D3—28no—
410C2×C32×D3—22no—
411C2×C32×D3—24no—
412C2×C32×D3—31no—
413C2×C32×D3—31no—
414C2×C32×D3—34no—
415C2×C32×D3—62no—
416C2×C32×D3—62no—
417C2×C32×D3—61no—
418C2×C32×D3C22×D314yes—
419C2×C32×D3C22×D311yescharacteristic
420C2×C32×D3C22×D314yescomplemented
421C2×C32×D3C22×D314yescomplemented
422C2×C32×D3C22×D311yescharacteristic, complemented
423C2×C32×D3C22×D311yescharacteristic, complemented
424#1113—68no—
425D3×C3⋊D3—22no—
426D3×C3⋊D3—22no—
427D3×C3⋊D3—34no—
428D3×C3⋊D3—316no—
429D3×C3⋊D3—62no—
430D3×C3⋊D3—68no—
431D3×C3⋊D3—62no—
432D3×C3⋊D3—62no—
433D3×C3⋊D3—68no—
434D3×C3⋊D3—68no—
435D3×C3⋊D3—616no—
436D3×C3⋊D3—616no—
437D3×C3⋊D3—616no—
438D3×C3⋊D3—616no—
439D3×C3⋊D3—62no—
440D3×C3⋊D3—62no—
441D3×C3⋊D3—68no—
442D3×C3⋊D3—62no—
443D3×C3⋊D3—62no—
444D3×C3⋊D3—68no—
445D3×C3⋊D3—62no—
446D3×C3⋊D3—128no—
447D3×C3⋊D3—122no—
448C3×D32—28no—
449C3×D32—68no—
450C3×D32—68no—
451C33×C4—31no—
452C3⋊(C3⋊Dic3)C22×D311yescharacteristic, complemented
453C3×C3⋊Dic3—21no—
454C3×C3⋊Dic3—31no—
455C3×C3⋊Dic3—34no—
456C3×C3⋊Dic3—64no—
457C3×C3⋊Dic3C22×D311yescharacteristic, complemented
458C3×C3⋊Dic3C22×D311yescharacteristic, complemented
459C3×C3⋊Dic3C22×D314yescomplemented
460C32×Dic3—24no—
461C32×Dic3—31no—
462C32×Dic3—31no—
463C32×Dic3—34no—
464C32×Dic3—61no—
465C32×Dic3C22×D314yescomplemented
466C32×Dic3C22×D311yescharacteristic, complemented
467C2×D3×D4—271no—
468C2×D3×D4—271no—
469C2×D3×D4—274no—
470C34C22×D411yescharacteristic, complemented, Sylow
471C23×C32—31no—
472C23×C32—34no—
473C23×C32—64no—
474C23×C32—91no—
475C22×C3⋊D3—31no—
476C22×C3⋊D3—31no—
477C22×C3⋊D3—31no—
478C22×C3⋊D3—34no—
479C22×C3⋊D3—64no—
480C22×C3⋊D3—91no—
481C22×C3⋊D3—91no—
482C22×C3⋊D3—91no—
483C22×C3⋊D3—91no—
484C22×C3⋊D3—91no—
485C22×C3⋊D3—91no—
486C22×C3⋊D3—91no—
487C22×C3⋊D3—91no—
488C22×C3⋊D3—94no—
489C22×C3⋊D3—94no—
490C22×C3⋊D3—94no—
491C22×C3⋊D3—94no—
492C22×C3⋊D3—94no—
493C22×C3⋊D3—94no—
494C22×C3⋊D3—94no—
495C22×C3⋊D3—91no—
496C22×C3⋊D3—91no—
497C22×C3⋊D3—184no—
498C22×C3⋊D3—184no—
499C22×C3⋊D3—184no—
500C22×C3⋊D3—184no—
501C22×C3⋊D3—184no—
502C22×C3⋊D3—184no—
503C22×C3⋊D3—184no—
504C22×C3⋊D3—184no—
505C22×C3⋊D3—184no—
506C22×C3⋊D3—184no—
507C22×C3⋊D3—184no—
508C22×C3⋊D3—184no—
509C22×C3⋊D3—1816no—
510C22×C3⋊D3—1832no—
511C22×C3⋊D3—364no—
512C22×C3⋊D3—364no—
513C22×C3⋊D3—3612no—
514C22×C3×D3—24no—
515C22×C3×D3—34no—
516C22×C3×D3—34no—
517C22×C3×D3—94no—
518C22×C3×D3—94no—
519C22×C3×D3—94no—
520C22×C3×D3—91no—
521C22×C3×D3—91no—
522C22×C3×D3—91no—
523C22×C3×D3—184no—
524C22×C3×D3D3214yescomplemented
525C22×C3×D3C2×C3⋊D311yescharacteristic, complemented
526C2×D32—34no—
527C2×D32—34no—
528C2×D32—94no—
529C2×D32—91no—
530C2×D32—94no—
531C2×D32—94no—
532C2×D32—94no—
533C2×D32—94no—
534C2×D32—91no—
535C2×D32—94no—
536C2×D32—94no—
537C2×D32—94no—
538C2×D32—94no—
539C2×D32—91no—
540C2×D32—91no—
541C2×D32—91no—
542C2×D32—91no—
543C2×D32—184no—
544C2×D32—184no—
545C2×D32—184no—
546C2×D32—184no—
547C2×D32—184no—
548C2×D32—184no—
549C2×D32—184no—
550C2×D32—1816no—
551C2×D32—1816no—
552C2×D32—1816no—
553C2×D32—184no—
554C2×D32—1832no—
555C2×D32C2×C3⋊D311yescharacteristic, complemented
556C32×D4—31no—
557C32×D4—34no—
558C32×D4—64no—
559C32×D4—91no—
560C32×D4—91no—
561C32×D4—91no—
562C32×D4—91no—
563C2×C32×C4—91no—
564#638—31no—
565#638—31no—
566#638—31no—
567#638—31no—
568#638—34no—
569#638—64no—
570#638—91no—
571#638—91no—
572#638—91no—
573#638—94no—
574#638—91no—
575#638—184no—
576#638D3211yescharacteristic, complemented
577#638C2×C3⋊D311yescharacteristic, complemented
578C2×C3⋊Dic3—31no—
579C4⋊(C3⋊D3)—31no—
580C4⋊(C3⋊D3)—91no—
581C4⋊(C3⋊D3)—91no—
582C4⋊(C3⋊D3)—91no—
583C4⋊(C3⋊D3)—94no—
584C4⋊(C3⋊D3)—91no—
585C4⋊(C3⋊D3)—184no—
586C4×C3⋊D3—31no—
587C4×C3⋊D3—91no—
588C4×C3⋊D3—91no—
589C4×C3⋊D3—91no—
590C4×C3⋊D3—94no—
591C4×C3⋊D3—91no—
592C4×C3⋊D3—184no—
593C3×#67—24no—
594C3×#67—34no—
595C3×#67—34no—
596C3×#67—34no—
597C3×#67—34no—
598C3×#67—34no—
599C3×#67—34no—
600C3×#67—34no—
601C3×#67—64no—
602C3×#67—64no—
603C3×#67—94no—
604C3×#67—94no—
605C3×#67—94no—
606C3×#67—94no—
607C3×#67—91no—
608C3×#67—91no—
609C3×#67—91no—
610C3×#67—184no—
611C3×#67D3214yescomplemented
612C3×#67C2×C3⋊D311yescharacteristic, complemented
613C2×C3×Dic3—34no—
614C2×C3×Dic3—94no—
615C3×D12—34no—
616C3×D12—94no—
617C3×D12—91no—
618C3×D12—91no—
619C3×C4×D3—34no—
620C3×C4×D3—94no—
621C3×C4×D3—91no—
622C3×C4×D3—91no—
623#626—34no—
624#626—34no—
625#626—34no—
626#626—94no—
627#626—94no—
628#626—94no—
629#626—94no—
630#626—94no—
631#626—94no—
632#626—94no—
633#626—91no—
634#626—94no—
635#626—91no—
636#626—94no—
637#626—91no—
638#626—184no—
639#626—184no—
640#626—184no—
641#626—184no—
642#626C2×C3⋊D311yescharacteristic, complemented
643#625—34no—
644#625—94no—
645#625—91no—
646#625C2×C3⋊D311yescharacteristic, complemented
647#624—34no—
648#624—94no—
649#624—94no—
650#624—94no—
651#624—94no—
652#624—91no—
653#624—184no—
654#624—184no—
655D3×Dic3—34no—
656D3×Dic3—94no—
657D3×Dic3—91no—
658D3×Dic3C2×C3⋊D311yescharacteristic, complemented
659C2×C33—21no—
660C2×C33—28no—
661C2×C33—24no—
662C2×C33—21no—
663C2×C33—24no—
664C2×C33—21no—
665C2×C33—24no—
666C2×C33—32no—
667C2×C33—44no—
668C2×C33—44no—
669C2×C33—41no—
670C2×C33—48no—
671C2×C33—61no—
672C2×C33—61no—
673C2×C33C23×D311yescharacteristic
674C2×C33C23×D311yescharacteristic
675C2×C33C23×D314yes—
676C3⋊(C3⋊D3)—21no—
677C3⋊(C3⋊D3)—21no—
678C3⋊(C3⋊D3)—32no—
679C3⋊(C3⋊D3)—32no—
680C3⋊(C3⋊D3)—38no—
681C3⋊(C3⋊D3)—68no—
682C3⋊(C3⋊D3)—62no—
683C3⋊(C3⋊D3)—68no—
684C3⋊(C3⋊D3)—61no—
685C3⋊(C3⋊D3)—68no—
686C3⋊(C3⋊D3)—64no—
687C3⋊(C3⋊D3)—61no—
688C3⋊(C3⋊D3)—128no—
689C3⋊(C3⋊D3)—124no—
690C3⋊(C3⋊D3)—121no—
691C3⋊(C3⋊D3)—128no—
692C3⋊(C3⋊D3)D3×D412yescomplemented
693C3×C3⋊D3—21no—
694C3×C3⋊D3—21no—
695C3×C3⋊D3—24no—
696C3×C3⋊D3—32no—
697C3×C3⋊D3—38no—
698C3×C3⋊D3—41no—
699C3×C3⋊D3—68no—
700C3×C3⋊D3—68no—
701C3×C3⋊D3—64no—
702C3×C3⋊D3—61no—
703C3×C3⋊D3—61no—
704C3×C3⋊D3—64no—
705C3×C3⋊D3—124no—
706C32×D3—28no—
707C32×D3—21no—
708C32×D3—24no—
709C32×D3—21no—
710C32×D3—28no—
711C32×D3—24no—
712C32×D3—44no—
713C32×D3—61no—
714C32×D3—61no—
715C32×D3—64no—
716C32×D3—121no—
717C32×D3D3×D418yescomplemented
718C32×D3D3×D412yescomplemented
719C23×D3—271no—
720C23×D3—271no—
721C23×D3—274no—
722C23×D3—271no—
723C23×D3—274no—
724C23×D3—271no—
725C23×D3—544no—
726C2×C3×D4—94no—
727C2×C3×D4—271no—
728C2×C3×D4—271no—
729C2×#67—31no—
730C2×#67—94no—
731C2×#67—271no—
732C2×#67—274no—
733C2×#67—271no—
734C2×#67—271no—
735D3×D4—31no—
736D3×D4—94no—
737D3×D4—91no—
738D3×D4—91no—
739D3×D4—271no—
740D3×D4—271no—
741D3×D4—274no—
742D3×D4—271no—
743D3×D4—271no—
744D3×D4—271no—
745D3×D4—271no—
746D3×D4—274no—
747D3×D4—271no—
748D3×D4—271no—
749D3×D4—271no—
750D3×D4—274no—
751D3×D4—271no—
752D3×D4—271no—
753D3×D4—274no—
754D3×D4—271no—
755D3×D4—274no—
756D3×D4—274no—
757D3×D4—274no—
758D3×D4—271no—
759D3×D4—541no—
760D3×D4—544no—
761C2×D12—271no—
762C2×D12—274no—
763C2×D12—271no—
764C2×C4×D3—271no—
765C2×C4×D3—271no—
766C2×C4×D3—274no—
767C22×C32—24no—
768C22×C32—24no—
769C22×C32—24no—
770C22×C32—24no—
771C22×C32—24no—
772C22×C32—31no—
773C22×C32—31no—
774C22×C32—31no—
775C22×C32—34no—
776C22×C32—34no—
777C22×C32—34no—
778C22×C32—44no—
779C22×C32—412no—
780C22×C32—44no—
781C22×C32—64no—
782C22×C32—64no—
783C22×C32—64no—
784C22×C32—62no—
785C22×C32—68no—
786C22×C32—616no—
787C22×C32—91no—
788C22×C32—91no—
789C22×C32—182no—
790C22×C32C2×D3214yescomplemented
791C22×C32C2×D3214yescomplemented
792C22×C32C2×D3211yescharacteristic, complemented
793C22×C32C22×C3⋊D311yescharacteristic, complemented
794C2×C3⋊D3—31no—
795C2×C3⋊D3—31no—
796C2×C3⋊D3—31no—
797C2×C3⋊D3—34no—
798C2×C3⋊D3—34no—
799C2×C3⋊D3—34no—
800C2×C3⋊D3—64no—
801C2×C3⋊D3—64no—
802C2×C3⋊D3—64no—
803C2×C3⋊D3—62no—
804C2×C3⋊D3—62no—
805C2×C3⋊D3—62no—
806C2×C3⋊D3—68no—
807C2×C3⋊D3—616no—
808C2×C3⋊D3—94no—
809C2×C3⋊D3—91no—
810C2×C3⋊D3—91no—
811C2×C3⋊D3—916no—
812C2×C3⋊D3—94no—
813C2×C3⋊D3—94no—
814C2×C3⋊D3—91no—
815C2×C3⋊D3—94no—
816C2×C3⋊D3—94no—
817C2×C3⋊D3—91no—
818C2×C3⋊D3—1816no—
819C2×C3⋊D3—184no—
820C2×C3⋊D3—184no—
821C2×C3⋊D3—184no—
822C2×C3⋊D3—184no—
823C2×C3⋊D3—184no—
824C2×C3⋊D3—184no—
825C2×C3⋊D3—184no—
826C2×C3⋊D3—184no—
827C2×C3⋊D3—184no—
828C2×C3⋊D3—184no—
829C2×C3⋊D3—182no—
830C2×C3⋊D3—182no—
831C2×C3⋊D3—182no—
832C2×C3⋊D3—188no—
833C2×C3⋊D3—182no—
834C2×C3⋊D3—188no—
835C2×C3⋊D3—182no—
836C2×C3⋊D3—182no—
837C2×C3⋊D3—188no—
838C2×C3⋊D3—1816no—
839C2×C3⋊D3—1816no—
840C2×C3⋊D3—1816no—
841C2×C3⋊D3—182no—
842C2×C3⋊D3—188no—
843C2×C3⋊D3—1816no—
844C2×C3⋊D3—182no—
845C2×C3⋊D3—188no—
846C2×C3⋊D3—188no—
847C2×C3⋊D3—182no—
848C2×C3⋊D3—1816no—
849C2×C3⋊D3—364no—
850C2×C3⋊D3—364no—
851C2×C3⋊D3—364no—
852C2×C3⋊D3—364no—
853C2×C3⋊D3—3612no—
854C2×C3⋊D3—3612no—
855C2×C3⋊D3—368no—
856C2×C3⋊D3—368no—
857C2×C3⋊D3—368no—
858C2×C3⋊D3—368no—
859C2×C3⋊D3—3616no—
860C2×C3⋊D3—3616no—
861C2×C3⋊D3—3648no—
862C2×C3⋊D3C2×D3211yescharacteristic, complemented
863C2×C3⋊D3C22×C3⋊D311yescharacteristic, complemented
864C2×C3×D3—216no—
865C2×C3×D3—28no—
866C2×C3×D3—22no—
867C2×C3×D3—24no—
868C2×C3×D3—24no—
869C2×C3×D3—24no—
870C2×C3×D3—34no—
871C2×C3×D3—34no—
872C2×C3×D3—34no—
873C2×C3×D3—34no—
874C2×C3×D3—64no—
875C2×C3×D3—64no—
876C2×C3×D3—68no—
877C2×C3×D3—68no—
878C2×C3×D3—94no—
879C2×C3×D3—91no—
880C2×C3×D3—94no—
881C2×C3×D3—94no—
882C2×C3×D3—91no—
883C2×C3×D3—91no—
884C2×C3×D3—184no—
885C2×C3×D3—184no—
886C2×C3×D3—184no—
887C2×C3×D3—182no—
888C2×C3×D3—188no—
889C2×C3×D3—188no—
890C2×C3×D3—188no—
891C2×C3×D3—182no—
892C2×C3×D3—1816no—
893C2×C3×D3—182no—
894C2×C3×D3C2×D3214yes—
895C2×C3×D3C2×D3214yescomplemented
896C2×C3×D3C2×D3214yescomplemented
897C2×C3×D3C22×C3⋊D311yescharacteristic
898C2×C3×D3C22×C3⋊D311yescharacteristic, complemented
899C2×C3×D3C22×C3⋊D311yescharacteristic, complemented
900D32—22no—
901D32—68no—
902D32—68no—
903D32—916no—
904D32—94no—
905D32—1816no—
906D32—188no—
907D32—182no—
908D32—188no—
909D32—182no—
910D32—182no—
911D32—188no—
912D32—1816no—
913D32—1816no—
914D32—1816no—
915D32—188no—
916D32—188no—
917D32—188no—
918D32—188no—
919D32—182no—
920D32—188no—
921D32—182no—
922D32—368no—
923D32—368no—
924C32×C4—31no—
925C32×C4—34no—
926C32×C4—64no—
927C32×C4—91no—
928C32×C4—91no—
929C3⋊Dic3—31no—
930C3⋊Dic3—34no—
931C3⋊Dic3—64no—
932C3⋊Dic3C2×D3211yescharacteristic, complemented
933C3⋊Dic3C22×C3⋊D311yescharacteristic, complemented
934C3×Dic3—24no—
935C3×Dic3—34no—
936C3×Dic3—34no—
937C3×Dic3—34no—
938C3×Dic3—34no—
939C3×Dic3—64no—
940C3×Dic3—64no—
941C3×Dic3—94no—
942C3×Dic3—91no—
943C3×Dic3—184no—
944C3×Dic3C2×D3214yescomplemented
945C3×Dic3C22×C3⋊D311yescharacteristic, complemented
946C22×D4—811noSylow
947C33—24no—
948C33—21no—
949C33—24no—
950C33—44no—
951C33C2×D3×D411yescharacteristic, complemented
952C33C2×D3×D411yescharacteristic, complemented
953C33C2×D3×D414yescomplemented
954C23×C3—34no—
955C23×C3—31no—
956C23×C3—64no—
957C23×C3—94no—
958C23×C3—271no—
959C23×C3—271no—
960C23×C3—271no—
961C22×D3—31no—
962C22×D3—31no—
963C22×D3—94no—
964C22×D3—94no—
965C22×D3—94no—
966C22×D3—91no—
967C22×D3—91no—
968C22×D3—91no—
969C22×D3—184no—
970C22×D3—271no—
971C22×D3—271no—
972C22×D3—271no—
973C22×D3—271no—
974C22×D3—274no—
975C22×D3—274no—
976C22×D3—271no—
977C22×D3—274no—
978C22×D3—271no—
979C22×D3—271no—
980C22×D3—271no—
981C22×D3—271no—
982C22×D3—274no—
983C22×D3—274no—
984C22×D3—274no—
985C22×D3—274no—
986C22×D3—271no—
987C22×D3—274no—
988C22×D3—271no—
989C22×D3—271no—
990C22×D3—271no—
991C22×D3—271no—
992C22×D3—271no—
993C22×D3—271no—
994C22×D3—541no—
995C22×D3—544no—
996C22×D3—544no—
997C22×D3—544no—
998C22×D3—544no—
999C22×D3—544no—
1000C22×D3—544no—
1001C22×D3—541no—
1002C22×D3—544no—
1003C22×D3—544no—
1004C22×D3—544no—
1005C22×D3—544no—
1006C22×D3—5416no—
1007C22×D3—544no—
1008C22×D3—5416no—
1009C22×D3—5432no—
1010C22×D3—1084no—
1011C22×D3D3×C3⋊D311yescharacteristic, complemented
1012C3×D4—34no—
1013C3×D4—31no—
1014C3×D4—64no—
1015C3×D4—94no—
1016C3×D4—94no—
1017C3×D4—94no—
1018C3×D4—91no—
1019C3×D4—91no—
1020C3×D4—181no—
1021C3×D4—271no—
1022C3×D4—271no—
1023C3×D4—271no—
1024C3×D4—271no—
1025C3×D4—271no—
1026C2×C3×C4—94no—
1027C2×C3×C4—271no—
1028C2×C3×C4—271no—
1029#67—34no—
1030#67—31no—
1031#67—31no—
1032#67—31no—
1033#67—31no—
1034#67—31no—
1035#67—61no—
1036#67—94no—
1037#67—94no—
1038#67—94no—
1039#67—94no—
1040#67—91no—
1041#67—91no—
1042#67—91no—
1043#67—184no—
1044#67—271no—
1045#67—271no—
1046#67—271no—
1047#67—271no—
1048#67—274no—
1049#67—271no—
1050#67—274no—
1051#67—271no—
1052#67—274no—
1053#67—271no—
1054#67—541no—
1055#67—544no—
1056#67D3×C3⋊D311yescharacteristic, complemented
1057C2×Dic3—31no—
1058C2×Dic3—94no—
1059C2×Dic3—271no—
1060D12—31no—
1061D12—94no—
1062D12—91no—
1063D12—91no—
1064D12—271no—
1065D12—274no—
1066D12—271no—
1067D12—271no—
1068D12—274no—
1069D12—274no—
1070D12—271no—
1071D12—271no—
1072D12—544no—
1073D12—541no—
1074C4×D3—31no—
1075C4×D3—94no—
1076C4×D3—91no—
1077C4×D3—91no—
1078C4×D3—271no—
1079C4×D3—271no—
1080C4×D3—274no—
1081C4×D3—271no—
1082C4×D3—271no—
1083C4×D3—274no—
1084C4×D3—274no—
1085C4×D3—271no—
1086C4×D3—541no—
1087C4×D3—544no—
1088C2×C32—28no—
1089C2×C32—24no—
1090C2×C32—21no—
1091C2×C32—24no—
1092C2×C32—24no—
1093C2×C32—28no—
1094C2×C32—24no—
1095C2×C32—21no—
1096C2×C32—24no—
1097C2×C32—24no—
1098C2×C32—24no—
1099C2×C32—32no—
1100C2×C32—38no—
1101C2×C32—44no—
1102C2×C32—412no—
1103C2×C32—44no—
1104C2×C32—44no—
1105C2×C32—44no—
1106C2×C32—48no—
1107C2×C32—424no—
1108C2×C32—48no—
1109C2×C32—44no—
1110C2×C32—68no—
1111C2×C32—68no—
1112C2×C32—61no—
1113C2×C32—64no—
1114C2×C32—61no—
1115C2×C32—64no—
1116C2×C32—124no—
1117C2×C32—181no—
1118C2×C32—181no—
1119C2×C32C22×D3214yes—
1120C2×C32C22×D3214yes—
1121C2×C32C22×D3211yescharacteristic
1122C2×C32C23×C3⋊D311yescharacteristic
1123C3⋊D3—21no—
1124C3⋊D3—21no—
1125C3⋊D3—32no—
1126C3⋊D3—38no—
1127C3⋊D3—68no—
1128C3⋊D3—68no—
1129C3⋊D3—64no—
1130C3⋊D3—61no—
1131C3⋊D3—61no—
1132C3⋊D3—64no—
1133C3⋊D3—92no—
1134C3⋊D3—98no—
1135C3⋊D3—98no—
1136C3⋊D3—92no—
1137C3⋊D3—124no—
1138C3⋊D3—188no—
1139C3⋊D3—188no—
1140C3⋊D3—188no—
1141C3⋊D3—188no—
1142C3⋊D3—188no—
1143C3⋊D3—188no—
1144C3⋊D3—184no—
1145C3⋊D3—181no—
1146C3⋊D3—188no—
1147C3⋊D3—184no—
1148C3⋊D3—181no—
1149C3⋊D3—368no—
1150C3⋊D3—368no—
1151C3⋊D3—3624no—
1152C3⋊D3—364no—
1153C3⋊D3—364no—
1154C3⋊D3—364no—
1155C3⋊D3—368no—
1156C3⋊D3—3624no—
1157C3⋊D3—368no—
1158C3×D3—28no—
1159C3×D3—24no—
1160C3×D3—24no—
1161C3×D3—21no—
1162C3×D3—21no—
1163C3×D3—28no—
1164C3×D3—44no—
1165C3×D3—64no—
1166C3×D3—64no—
1167C3×D3—64no—
1168C3×D3—64no—
1169C3×D3—98no—
1170C3×D3—92no—
1171C3×D3—124no—
1172C3×D3—124no—
1173C3×D3—188no—
1174C3×D3—188no—
1175C3×D3—184no—
1176C3×D3—184no—
1177C3×D3—181no—
1178C3×D3—181no—
1179C3×D3—364no—
1180C3×D3#381118yescomplemented
1181C3×D3D4×C3⋊D312yescomplemented
1182C24—811no—
1183C24—811no—
1184C2×D4—91no—
1185C2×D4—271no—
1186C2×D4—271no—
1187C2×D4—811no—
1188C2×D4—811no—
1189C2×D4—811no—
1190C2×D4—811no—
1191C2×D4—811no—
1192C2×D4—811no—
1193C2×D4—811no—
1194C2×D4—811no—
1195C2×D4—811no—
1196C22×C4—811no—
1197C22×C3—24no—
1198C22×C3—21no—
1199C22×C3—24no—
1200C22×C3—34no—
1201C22×C3—31no—
1202C22×C3—34no—
1203C22×C3—34no—
1204C22×C3—31no—
1205C22×C3—31no—
1206C22×C3—44no—
1207C22×C3—64no—
1208C22×C3—64no—
1209C22×C3—64no—
1210C22×C3—62no—
1211C22×C3—68no—
1212C22×C3—616no—
1213C22×C3—94no—
1214C22×C3—91no—
1215C22×C3—91no—
1216C22×C3—181no—
1217C22×C3—188no—
1218C22×C3—271no—
1219C22×C3—271no—
1220C22×C3—271no—
1221C22×C3—542no—
1222C22×C3—542no—
1223C22×C3—542no—
1224C22×C3D3314yescomplemented
1225C22×C3C2×D3×C3⋊D311yescharacteristic, complemented
1226C22×C3C2×D3×C3⋊D311yescharacteristic, complemented
1227C2×D3—22no—
1228C2×D3—34no—
1229C2×D3—31no—
1230C2×D3—31no—
1231C2×D3—61no—
1232C2×D3—62no—
1233C2×D3—62no—
1234C2×D3—94no—
1235C2×D3—91no—
1236C2×D3—94no—
1237C2×D3—94no—
1238C2×D3—91no—
1239C2×D3—91no—
1240C2×D3—184no—
1241C2×D3—184no—
1242C2×D3—184no—
1243C2×D3—182no—
1244C2×D3—188no—
1245C2×D3—188no—
1246C2×D3—182no—
1247C2×D3—188no—
1248C2×D3—1816no—
1249C2×D3—182no—
1250C2×D3—274no—
1251C2×D3—2716no—
1252C2×D3—274no—
1253C2×D3—271no—
1254C2×D3—271no—
1255C2×D3—274no—
1256C2×D3—274no—
1257C2×D3—271no—
1258C2×D3—271no—
1259C2×D3—5416no—
1260C2×D3—541no—
1261C2×D3—544no—
1262C2×D3—544no—
1263C2×D3—544no—
1264C2×D3—541no—
1265C2×D3—544no—
1266C2×D3—542no—
1267C2×D3—542no—
1268C2×D3—542no—
1269C2×D3—542no—
1270C2×D3—542no—
1271C2×D3—542no—
1272C2×D3—542no—
1273C2×D3—548no—
1274C2×D3—548no—
1275C2×D3—542no—
1276C2×D3—548no—
1277C2×D3—542no—
1278C2×D3—548no—
1279C2×D3—542no—
1280C2×D3—548no—
1281C2×D3—542no—
1282C2×D3—548no—
1283C2×D3—5416no—
1284C2×D3—5416no—
1285C2×D3—5416no—
1286C2×D3—542no—
1287C2×D3—542no—
1288C2×D3—548no—
1289C2×D3—5416no—
1290C2×D3—542no—
1291C2×D3—1084no—
1292C2×D3—1084no—
1293C2×D3—1082no—
1294C2×D3—1088no—
1295C2×D3—1082no—
1296C2×D3—1088no—
1297C2×D3—10816no—
1298C2×D3C2×D3×C3⋊D311yescharacteristic
1299C2×D3C2×D3×C3⋊D311yescharacteristic, complemented
1300C2×D3C2×D3×C3⋊D311yescharacteristic, complemented
1301C3×C4—34no—
1302C3×C4—31no—
1303C3×C4—64no—
1304C3×C4—94no—
1305C3×C4—91no—
1306C3×C4—91no—
1307C3×C4—181no—
1308C3×C4—271no—
1309Dic3—34no—
1310Dic3—31no—
1311Dic3—31no—
1312Dic3—61no—
1313Dic3—94no—
1314Dic3—91no—
1315Dic3—184no—
1316Dic3C2×D3×C3⋊D311yescharacteristic, complemented
1317C32—24no—
1318C32—24no—
1319C32—24no—
1320C32—24no—
1321C32—24no—
1322C32—44no—
1323C32—412no—
1324C32—44no—
1325C32D32×D414yescomplemented
1326C32D32×D411yescharacteristic, complemented
1327C32C2×#381114yescomplemented
1328C32C2×D4×C3⋊D311yescharacteristic, complemented
1329C23—31no—
1330C23—91no—
1331C23—271no—
1332C23—271no—
1333C23—271no—
1334C23—811no—
1335C23—811no—
1336C23—811no—
1337C23—811no—
1338C23—811no—
1339C23—811no—
1340C23—811no—
1341C23—811no—
1342C23—1624no—
1343C23—1624no—
1344D4—31no—
1345D4—91no—
1346D4—91no—
1347D4—91no—
1348D4—91no—
1349D4—271no—
1350D4—271no—
1351D4—271no—
1352D4—271no—
1353D4—271no—
1354D4—811no—
1355D4—811no—
1356D4—811no—
1357D4—811no—
1358D4—811no—
1359D4—811no—
1360C2×C4—91no—
1361C2×C4—271no—
1362C2×C4—271no—
1363C2×C4—811no—
1364C2×C4—811no—
1365C2×C4—811no—
1366C2×C3—28no—
1367C2×C3—21no—
1368C2×C3—21no—
1369C2×C3—24no—
1370C2×C3—21no—
1371C2×C3—24no—
1372C2×C3—24no—
1373C2×C3—32no—
1374C2×C3—38no—
1375C2×C3—41no—
1376C2×C3—44no—
1377C2×C3—48no—
1378C2×C3—44no—
1379C2×C3—68no—
1380C2×C3—68no—
1381C2×C3—61no—
1382C2×C3—61no—
1383C2×C3—64no—
1384C2×C3—64no—
1385C2×C3—124no—
1386C2×C3—181no—
1387C2×C3—181no—
1388C2×C3—184no—
1389C2×C3—272no—
1390C2×C3—361no—
1391C2×C3—541no—
1392C2×C3—541no—
1393C2×C3C2×D3314yes—
1394C2×C3C22×D3×C3⋊D311yescharacteristic
1395C2×C3C22×D3×C3⋊D311yescharacteristic
1396D3—21no—
1397D3—21no—
1398D3—61no—
1399D3—61no—
1400D3—64no—
1401D3—92no—
1402D3—98no—
1403D3—121no—
1404D3—188no—
1405D3—188no—
1406D3—181no—
1407D3—181no—
1408D3—184no—
1409D3—184no—
1410D3—272no—
1411D3—272no—
1412D3—278no—
1413D3—364no—
1414D3—548no—
1415D3—542no—
1416D3—548no—
1417D3—548no—
1418D3—541no—
1419D3—541no—
1420D3—544no—
1421D3—1088no—
1422D3—1081no—
1423D3—1084no—
1424D3—1088no—
1425D3#8903912yesdirect product factor
1426C22—31no—
1427C22—31no—
1428C22—31no—
1429C22—62no—
1430C22—91no—
1431C22—91no—
1432C22—182no—
1433C22—271no—
1434C22—271no—
1435C22—271no—
1436C22—542no—
1437C22—542no—
1438C22—542no—
1439C22—814no—
1440C22—811no—
1441C22—811no—
1442C22—1622no—
1443C22—1622no—
1444C22—1622no—
1445C22—1622no—
1446C22—1622no—
1447C22—1622no—
1448C22—1622no—
1449C22D32×C3⋊D311yescharacteristic, complemented
1450C4—31no—
1451C4—91no—
1452C4—91no—
1453C4—271no—
1454C3—21no—
1455C3—24no—
1456C3—24no—
1457C3—44no—
1458C3D3×#381114yescomplemented
1459C3D3×D4×C3⋊D311yescharacteristic, complemented
1460C3C2×#8903911yescharacteristic, complemented
1461C2—21no—
1462C2—32no—
1463C2—61no—
1464C2—61no—
1465C2—181no—
1466C2—181no—
1467C2—272no—
1468C2—541no—
1469C2—541no—
1470C2—812no—
1471C2—1621no—
1472C2C2×D32×C3⋊D311yescharacteristic
subgroupG/H
center, FrattiniC2C2×D32×C3⋊D3
commutator, socle, cosocleC2×C34C24
FittingC22×C34C23
hypercenterC22D32×C3⋊D3
hypocenterC34C22×D4
LCSG ▷ C2×C34 ▷ C34
UCSC1 ◁ C2 ◁ C22

Complements

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

NH ≅ G/Ntype
1. C22×D3×C3⋊(C3⋊D3)C2semidirect
2. C2×D32×C3⋊D3C2semidirect
3. #13049720C2semidirect
4. #13049703C2semidirect
5. #13049685C2semidirect
6. C3×#89039C2semidirect
7. C3×D3×#638C2semidirect
8. C32×D3×#67C2semidirect
9. #13049503C2semidirect
10. #13049502C2semidirect
11. #13049500C2semidirect
12. D3×#6291C2semidirect
13. #13049496C2semidirect
14. D3×#6292C2semidirect
15. D3×#6289C2semidirect
19. C22×C3⋊(C3⋊(C3⋊D3))C22semidirect
20. C22×C3×C3⋊(C3⋊D3)C22semidirect
21. C22×C33×D3C22semidirect
22. C2×C3⋊#1113C22semidirect
23. C2×C3⋊D32C22semidirect
26. C2×D3×C3⋊(C3⋊D3)C22semidirect
27. C2×D3×C3⋊(C3⋊D3)C22semidirect
28. C2×D3×C3⋊(C3⋊D3)C22semidirect
29. C2×D3×C3⋊(C3⋊D3)C22semidirect
30. C2×C3×D3×C3⋊D3C22semidirect
31. C2×C3×D3×C3⋊D3C22semidirect
32. C2×C32×D32C22semidirect
34. C3×#6312C22semidirect
35. C32×#638C22semidirect
36. C32×#638C22semidirect
37. C33×#67C22semidirect
38. #10620157C22semidirect
39. #10620156C22semidirect
40. #10620154C22semidirect
41. #10620152C22semidirect
42. #10620152C22semidirect
43. #10620150C22semidirect
44. #10620147C22semidirect
45. #10620146C22semidirect
46. #10620144C22semidirect
47. C3×#6292C22semidirect
48. C3×#6291C22semidirect
49. C3×#6291C22semidirect
50. C3×#6290C22semidirect
51. C3×#6289C22semidirect
52. C3×D3×C3⋊Dic3C22semidirect
53. C32×#626C22semidirect
54. C32×#625C22semidirect
55. C32×D3×Dic3C22semidirect
82. #89039D3direct (N × H)
86. D3×#638D3semidirect
96. C3×D3×#67D3semidirect
104. C22×C34C23semidirect
107. C2×C3⋊(C3⋊(C3⋊D3))C23semidirect
110. C2×C3×C3⋊(C3⋊D3)C23semidirect
111. C2×C3×C3⋊(C3⋊D3)C23semidirect
112. C2×C32×C3⋊D3C23semidirect
113. C2×C32×C3⋊D3C23semidirect
116. C2×C33×D3C23semidirect
117. C2×C33×D3C23semidirect
124. D3×C3⋊(C3⋊D3)D4semidirect
128. C3×C3⋊(C3⋊Dic3)C23semidirect
129. C32×C3⋊Dic3C23semidirect
130. C32×C3⋊Dic3C23semidirect
131. C33×Dic3C23semidirect
150. C22×C3⋊(C3⋊D3)C2×D3semidirect
159. C22×C32×D3C2×D3semidirect
160. C22×C32×D3C2×D3semidirect
188. C2×D3×C3⋊D3C2×D3semidirect
189. C2×D3×C3⋊D3C2×D3semidirect
192. C2×C3×D32C2×D3semidirect
196. #6312C2×D3semidirect
206. C3×#638C2×D3semidirect
207. C3×#638C2×D3semidirect
208. C3×#638C2×D3semidirect
220. C32×#67C2×D3semidirect
221. C32×#67C2×D3semidirect
237. #6292C2×D3semidirect
246. #6291C2×D3semidirect
247. #6291C2×D3semidirect
249. #6290C2×D3semidirect
258. #6289C2×D3semidirect
260. D3×C3⋊Dic3C2×D3semidirect
264. C3×#626C2×D3semidirect
266. C3×#625C2×D3semidirect
269. C3×D3×Dic3C2×D3semidirect
273. C3⋊(C3⋊(C3⋊D3))C2×D4semidirect
276. C3×C3⋊(C3⋊D3)C2×D4semidirect
281. C33×D3C2×D4semidirect
335. D3×#67C3⋊D3semidirect
355. C22×C33C22×D3semidirect
356. C22×C33C22×D3semidirect
357. C22×C33C22×D3semidirect
386. C2×C3⋊(C3⋊D3)C22×D3semidirect
387. C2×C3⋊(C3⋊D3)C22×D3semidirect
403. C2×C3×C3⋊D3C22×D3semidirect
404. C2×C3×C3⋊D3C22×D3semidirect
405. C2×C3×C3⋊D3C22×D3semidirect
420. C2×C32×D3C22×D3semidirect
421. C2×C32×D3C22×D3semidirect
422. C2×C32×D3C22×D3semidirect
423. C2×C32×D3C22×D3semidirect
452. C3⋊(C3⋊Dic3)C22×D3semidirect
457. C3×C3⋊Dic3C22×D3semidirect
458. C3×C3⋊Dic3C22×D3semidirect
459. C3×C3⋊Dic3C22×D3semidirect
465. C32×Dic3C22×D3semidirect
466. C32×Dic3C22×D3semidirect
470. C34C22×D4semidirect
524. C22×C3×D3D32semidirect
525. C22×C3×D3C2×C3⋊D3semidirect
555. C2×D32C2×C3⋊D3semidirect
576. #638D32semidirect
577. #638C2×C3⋊D3semidirect
611. C3×#67D32semidirect
612. C3×#67C2×C3⋊D3semidirect
642. #626C2×C3⋊D3semidirect
646. #625C2×C3⋊D3semidirect
658. D3×Dic3C2×C3⋊D3semidirect
692. C3⋊(C3⋊D3)D3×D4semidirect
717. C32×D3D3×D4semidirect
718. C32×D3D3×D4semidirect
790. C22×C32C2×D32semidirect
791. C22×C32C2×D32semidirect
792. C22×C32C2×D32semidirect
793. C22×C32C22×C3⋊D3semidirect
862. C2×C3⋊D3C2×D32semidirect
863. C2×C3⋊D3C22×C3⋊D3semidirect
895. C2×C3×D3C2×D32semidirect
896. C2×C3×D3C2×D32semidirect
898. C2×C3×D3C22×C3⋊D3semidirect
899. C2×C3×D3C22×C3⋊D3semidirect
932. C3⋊Dic3C2×D32semidirect
933. C3⋊Dic3C22×C3⋊D3semidirect
944. C3×Dic3C2×D32semidirect
945. C3×Dic3C22×C3⋊D3semidirect
951. C33C2×D3×D4semidirect
952. C33C2×D3×D4semidirect
953. C33C2×D3×D4semidirect
1011. C22×D3D3×C3⋊D3semidirect
1056. #67D3×C3⋊D3semidirect
1180. C3×D3#3811semidirect
1181. C3×D3D4×C3⋊D3semidirect
1224. C22×C3D33semidirect
1225. C22×C3C2×D3×C3⋊D3semidirect
1226. C22×C3C2×D3×C3⋊D3semidirect
1299. C2×D3C2×D3×C3⋊D3semidirect
1300. C2×D3C2×D3×C3⋊D3semidirect
1316. Dic3C2×D3×C3⋊D3semidirect
1325. C32D32×D4semidirect
1326. C32D32×D4semidirect
1327. C32C2×#3811semidirect
1328. C32C2×D4×C3⋊D3semidirect
1425. D3#89039direct (N × H)
1449. C22D32×C3⋊D3semidirect
1458. C3D3×#3811semidirect
1459. C3D3×D4×C3⋊D3semidirect
1460. C3C2×#89039semidirect

Maximal subgroups

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

subgroupindex
C22×D3×C3⋊(C3⋊D3)2
C2×D32×C3⋊D32
#130497202
#130497032
#130496852
C3×#890392
C3×D3×#6382
C32×D3×#672
#130495032
#130495022
#130495002
D3×#62912
#130494962
D3×#62922
D3×#62892
C2×#890393
D3×D4×C3⋊D33
D3×#38113