Finite Group Databasebeta

← D3×#10592484 #72268967

Subgroups — D3×#10592484 #72268967

Order 3456.

4176 conjugacy classes of subgroups.

The subgroup lattice has 1320 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×D3×#3753C211yesmaximal, characteristic
2D3×D4×C3⋊Dic3C211yesmaximal, characteristic, complemented
3D3×#64102C211yesmaximal, characteristic, complemented
4#13163424C211yesmaximal, characteristic, complemented
5C3×#10592484C211yesmaximal, characteristic, complemented
6C32×D3×#102C211yesmaximal, characteristic, complemented
7#13160922C211yesmaximal, characteristic, complemented
8#13160912C211yesmaximal, characteristic, complemented
9D3×#63648C211yesmaximal, characteristic, complemented
10#13159932C211yesmaximal, characteristic, complemented
11#13159928C211yesmaximal, characteristic, complemented
12D3×#63642C211yesmaximal, characteristic, complemented
13#13159366C211yesmaximal, characteristic, complemented
14#13159355C211yesmaximal, characteristic, complemented
15D3×#63635C211yesmaximal, characteristic, complemented
16D3×#4785—34nomaximal
17C2×#10592484—31nomaximal
18C2×C32×D3×D4C2211yescharacteristic
19C22×D3×C3⋊Dic3—21no—
20C2×D3×C4⋊(C3⋊D3)C2211yescharacteristic
21C2×C4×D3×C3⋊D3—21no—
22D4×C3⋊(C3⋊Dic3)C2211yescharacteristic, complemented
23C2×#88860C2211yescharacteristic
24#11723934C2211yescharacteristic, complemented
25C3×D4×C3⋊Dic3C2211yescharacteristic, complemented
26C2×C3×#3753C2211yescharacteristic
27C3×#64102C2211yescharacteristic, complemented
28C2×C32×D3×C8C2211yescharacteristic
29C32×D3×C4⋊C4C2211yescharacteristic
30#67⋊(C3⋊Dic3)—21no—
31#67×C3⋊Dic3—21no—
32D3×#3757—21no—
33D3×#3753C418yescomplemented
34D3×#3752—21no—
35#11723512—21no—
36#11723501C2211yescharacteristic, complemented
37#11723499C2211yescharacteristic, complemented
38#11723494C2211yescharacteristic, complemented
39D12×C3⋊Dic3C2211yescharacteristic, complemented
40D3×C4⋊(C3⋊Dic3)C2211yescharacteristic
41#11723472—21no—
42C4×D3×C3⋊Dic3C2211yescharacteristic
43C2×#88790C2211yescharacteristic
44C2×#88789C2211yescharacteristic
45C2×D3×C3⋊(C3⋊C8)C2211yescharacteristic
46C33×#102C2211yescharacteristic, complemented
47#11722191C2211yescharacteristic, complemented
48#11722185C2211yescharacteristic, complemented
49#11722178C2211yescharacteristic, complemented
50C3×#63648C2211yescharacteristic, complemented
51C3×#63642C2211yescharacteristic, complemented
52C3×#63635C2211yescharacteristic, complemented
53C32×#832C2211yescharacteristic, complemented
54C32×#821C2211yescharacteristic, complemented
55C32×#809C2211yescharacteristic, complemented
56#11722054C2211yescharacteristic, complemented
57#11722053C2211yescharacteristic, complemented
58#11722036C2211yescharacteristic, complemented
59#11722034C2211yescharacteristic, complemented
60#11722021C2211yescharacteristic, complemented
61#11722020C2211yescharacteristic, complemented
62C2×D4×C3⋊Dic3—31no—
63C22×#3753—31no—
64C2×#64102—31no—
65D3×D4×Dic3—34no—
66C2×D3×#213—34no—
67D3×#893—34no—
68C2×C32×#102—31no—
69C2×#63648—31no—
70C2×#63642—31no—
71C2×#63635—31no—
72#10592484—31no—
73#10592484—34no—
74#10592484—31no—
75#10592484—31no—
76#10592484—31no—
77#10592484—31no—
78#10592484—31no—
79#10592484—31no—
80#10592484—64no—
81#10592484D311yescharacteristic, direct product factor
82C3×#4785—34no—
83C3×D3×#102D314yescomplemented
84#10591436—34no—
85#10591404—34no—
86D3×#821—34no—
87#10590746—34no—
88#10590741—34no—
89D3×#815—34no—
90D3×#808—34no—
91#10590462—34no—
92#10590455—34no—
93C23×C32×D3—21no—
94C22×D3×C3⋊D3—21no—
95C2×C33×D4C2311yescharacteristic
96C22×C3⋊(C3⋊Dic3)—21no—
97C2×C4⋊(C3⋊(C3⋊D3))C2311yescharacteristic
98C2×C4×C3⋊(C3⋊D3)—21no—
99C22×C3×C3⋊Dic3—21no—
100C2×C3×C4⋊(C3⋊D3)C2311yescharacteristic
101C2×C3×C4×C3⋊D3—21no—
102C2×C32×#67—21no—
103C32×D3×D4—22no—
104C32×D3×D4C2×C414yescomplemented
105C2×C32×D12C2311yescharacteristic
106C2×C32×C4×D3—21no—
107C2×C32×C4×D3C2311yescharacteristic
108C2×#6292—21no—
109C2×#6289—21no—
110C2×Dic3×C3⋊D3—21no—
111C2×D3×C3⋊Dic3—21no—
112C2×D3×C3⋊Dic3—21no—
113C2×D3×C3⋊Dic3—21no—
114C2×D3×C3⋊Dic3—44no—
115C2×D3×C3⋊Dic3D411yescharacteristic
116C2×D3×C3⋊Dic3D411yescharacteristic
117D3×C4⋊(C3⋊D3)—22no—
118D3×C4⋊(C3⋊D3)C2×C414yescomplemented
119C4×D3×C3⋊D3—44no—
120C2×C33×C8C2311yescharacteristic
121C33×C4⋊C4C2311yescharacteristic
122#88864—21no—
123#88860C2×C414yescomplemented
124#88859—21no—
125C4⋊(C3⋊(C3⋊Dic3))C2311yescharacteristic
126C4×C3⋊(C3⋊Dic3)C2311yescharacteristic
127C2×C3⋊(C3⋊(C3⋊C8))C2311yescharacteristic
128C3×#3757—21no—
129C3×#3753C2×C414yescomplemented
130C3×#3752—21no—
131C3×C4⋊(C3⋊Dic3)C2311yescharacteristic
132C3×C4×C3⋊Dic3C2311yescharacteristic
133C2×C3×C3⋊(C3⋊C8)C2311yescharacteristic
134C32×C4⋊Dic3C2311yescharacteristic
135C32×Dic3⋊C4—21no—
136C2×C32×C3⋊C8C2311yescharacteristic
137C32×D3×C8—22no—
138Dic3⋊(C3⋊Dic3)—21no—
139#88804—21no—
140#88803—21no—
141(C2×D3)⋊(C3⋊Dic3)—21no—
142(C2×D3)⋊(C3⋊Dic3)—21no—
143Dic3×C3⋊Dic3D411yescharacteristic
144Dic3×C3⋊Dic3D411yescharacteristic
145#88790C2×C414yescomplemented
146#88789C2×C414yescomplemented
147D3×C3⋊(C3⋊C8)C2×C414yescomplemented
148D3×#442—91no—
149C2×#4785—94no—
150C22×C32×D4—31no—
151C23×C3⋊Dic3—61no—
152C22×C4⋊(C3⋊D3)—31no—
153C22×C4×C3⋊D3—61no—
154C2×C3×D3×D4C2×D314yes—
155C22×D3×Dic3—64no—
156C2×D3×D12—34no—
157C2×C4×D32—64no—
158C22×C32×C8—31no—
159C2×C32×C4⋊C4—31no—
160C2×#3757—61no—
161D4×C3⋊Dic3—31no—
162D4×C3⋊Dic3—31no—
163D4×C3⋊Dic3—34no—
164D4×C3⋊Dic3—31no—
165D4×C3⋊Dic3—61no—
166D4×C3⋊Dic3—61no—
167D4×C3⋊Dic3—64no—
168D4×C3⋊Dic3C2×D311yescharacteristic, complemented
169C2×#3753—31no—
170C2×#3753—31no—
171C2×#3753—38no—
172C2×#3753—31no—
173C2×#3753—34no—
174C2×#3753—64no—
175C2×#3753C2×D311yescharacteristic
176C2×#3752—61no—
177C2×C4⋊(C3⋊Dic3)—31no—
178C2×C4×C3⋊Dic3—31no—
179C22×C3⋊(C3⋊C8)—31no—
180#64102—31no—
181#64102—31no—
182#64102—31no—
183#64102—34no—
184#64102—64no—
185#64102—61no—
186#64102—61no—
187#64102C2×D311yescharacteristic, complemented
188C3×D4×Dic3—34no—
189C2×C3×#213—34no—
190C2×C3×D3×C8C2×D314yes—
191C3×#893—34no—
192C3×D3×C4⋊C4C2×D314yes—
193#67⋊Dic3—64no—
194Dic3×#67—64no—
195D3×#217—64no—
196D3×#213—332no—
197D3×(C2×D3)⋊C4—64no—
198#63904—64no—
199#63898—34no—
200#63898—34no—
201#63894—34no—
202Dic3×D12—34no—
203D3×C4⋊Dic3—34no—
204#63881—64no—
205C4×D3×Dic3—34no—
206C2×#3714—34no—
207C2×#3713—34no—
208C2×D3×C3⋊C8—34no—
209C32×#102—24no—
210C32×#102—31no—
211C32×#102—31no—
212C32×#102—31no—
213C32×#102C2×D314yescomplemented
214C32×#102C2×D311yescharacteristic, complemented
215#63648—31no—
216#63648—31no—
217#63648—31no—
218#63648—34no—
219#63648—64no—
220#63648C2×D311yescharacteristic, complemented
221#63642—31no—
222#63642—31no—
223#63642—31no—
224#63642—34no—
225#63642—64no—
226#63642C2×D311yescharacteristic, complemented
227#63635—31no—
228#63635—31no—
229#63635—31no—
230#63635—34no—
231#63635—64no—
232#63635C2×D311yescharacteristic, complemented
233C3×#832C2×D314yescomplemented
234C3×#821—34no—
235C3×#821C2×D314yescomplemented
236C3×#815—34no—
237C3×#809C2×D314yescomplemented
238C3×#808—34no—
239#63574—34no—
240#63573—34no—
241#63564—34no—
242#63563—34no—
243#63555—34no—
244#63554—34no—
245C23×C33—21no—
246C22×C3⋊(C3⋊D3)—21no—
247C22×C3×C3⋊D3—21no—
248C22×C32×D3—21no—
249C22×C32×D3—24no—
250C22×C32×D3—42no—
251C22×C32×D3—42no—
252C22×C32×D3C2×D411yescharacteristic
253C2×D3×C3⋊D3—24no—
254C2×D3×C3⋊D3—42no—
255C2×D3×C3⋊D3—42no—
256C33×D4—21no—
257C33×D4C22×C412yescomplemented
258C2×C33×C4—21no—
259C2×C33×C4C2411yescharacteristic
260C2×C3⋊(C3⋊Dic3)—21no—
261C2×C3⋊(C3⋊Dic3)—42no—
262C2×C3⋊(C3⋊Dic3)C2×D411yescharacteristic
263C2×C3⋊(C3⋊Dic3)C2×D411yescharacteristic
264C4⋊(C3⋊(C3⋊D3))—21no—
265C4⋊(C3⋊(C3⋊D3))C22×C412yescomplemented
266C4×C3⋊(C3⋊D3)—42no—
267C2×C3×C3⋊Dic3—21no—
268C2×C3×C3⋊Dic3—42no—
269C2×C3×C3⋊Dic3C2×D411yescharacteristic
270C2×C3×C3⋊Dic3C2×D411yescharacteristic
271C3×C4⋊(C3⋊D3)—21no—
272C3×C4⋊(C3⋊D3)C22×C412yescomplemented
273C3×C4×C3⋊D3—42no—
274C32×#67—24no—
275C2×C32×Dic3—21no—
276C2×C32×Dic3C2×D411yescharacteristic
277C32×D12—21no—
278C32×D12C22×C412yescomplemented
279C32×C4×D3—42no—
280C32×C4×D3C22×C412yes—
281C32×C4×D3#4112yes—
282#6292—24no—
283#6289—42no—
284Dic3×C3⋊D3—42no—
285D3×C3⋊Dic3—22no—
286D3×C3⋊Dic3—22no—
287D3×C3⋊Dic3—42no—
288D3×C3⋊Dic3—42no—
289D3×C3⋊Dic3—42no—
290C33×C8—21no—
291C3⋊(C3⋊(C3⋊C8))C22×C412yescomplemented
292C3×C3⋊(C3⋊C8)C22×C412yescomplemented
293C32×C3⋊C8—21no—
294C2×D4×Dic3—94no—
295C22×#213—94no—
296C2×D3×D8—91no—
297C4×D3×D4—91no—
298C4×D3×D4—91no—
299C2×#893—94no—
300C3×#442—91no—
301C2×C3×#102—34no—
302#5152—91no—
303C2×#821—94no—
304C2×#815—94no—
305#5014—91no—
306#5014—91no—
307C2×#808—94no—
308#4869—91no—
309D3×#106—91no—
310#4785—34no—
311#4785—94no—
312#4785—94no—
313#4785—94no—
314#4785—94no—
315#4785—94no—
316#4785—94no—
317#4785—94no—
318#4785—91no—
319#4785—91no—
320#4785—184no—
321D3×#102—91no—
322D3×#102C3⋊D311yescharacteristic, complemented
323#4711—91no—
324D3×#97—91no—
325C24×C32—61no—
326C23×C3⋊D3—61no—
327C23×C3×D3—24no—
328C22×D32—64no—
329C2×C32×D4—24no—
330C2×C32×D4—34no—
331C2×C32×D4—31no—
332C2×C32×D4—62no—
333C2×C32×D4—61no—
334C2×C32×D4C22×D314yes—
335C2×C32×D4C22×D311yescharacteristic
336C22×C32×C4—31no—
337C22×C32×C4—61no—
338C22×C3⋊Dic3—21no—
339C22×C3⋊Dic3—31no—
340C22×C3⋊Dic3—31no—
341C22×C3⋊Dic3—61no—
342C22×C3⋊Dic3—61no—
343C22×C3⋊Dic3—61no—
344C22×C3⋊Dic3—64no—
345C22×C3⋊Dic3—61no—
346C22×C3⋊Dic3—124no—
347C22×C3⋊Dic3—124no—
348C2×C4⋊(C3⋊D3)—31no—
349C2×C4⋊(C3⋊D3)—34no—
350C2×C4⋊(C3⋊D3)—34no—
351C2×C4⋊(C3⋊D3)—62no—
352C2×C4⋊(C3⋊D3)—61no—
353C2×C4⋊(C3⋊D3)—64no—
354C2×C4⋊(C3⋊D3)C22×D311yescharacteristic
355C2×C4×C3⋊D3—21no—
356C2×C4×C3⋊D3—61no—
357C2×C4×C3⋊D3—64no—
358C2×C4×C3⋊D3—61no—
359C2×C4×C3⋊D3—61no—
360C2×C4×C3⋊D3—124no—
361C2×C4×C3⋊D3—124no—
362C2×C3×#67—24no—
363C22×C3×Dic3—64no—
364C3×D3×D4—28no—
365C3×D3×D4C4×D3116yescomplemented
366C2×C3×D12—34no—
367C2×C3×D12C22×D314yes—
368C2×C3×C4×D3—24no—
369C2×C3×C4×D3—64no—
370C2×C3×C4×D3C22×D314yes—
371C2×#626—64no—
372C2×#624—64no—
373C2×D3×Dic3—34no—
374C2×D3×Dic3—34no—
375C2×D3×Dic3—64no—
376C2×D3×Dic3—64no—
377C2×D3×Dic3—64no—
378C2×D3×Dic3—64no—
379C2×D3×Dic3—1216no—
380D3×D12—316no—
381D3×D12—68no—
382C4×D32—1216no—
383C2×C32×C8—24no—
384C2×C32×C8—31no—
385C2×C32×C8—62no—
386C2×C32×C8C22×D314yes—
387C2×C32×C8C22×D311yescharacteristic
388C32×C4⋊C4—24no—
389C32×C4⋊C4—31no—
390C32×C4⋊C4—61no—
391C32×C4⋊C4C22×D314yes—
392C32×C4⋊C4C22×D311yescharacteristic
393#3757—21no—
394#3757—61no—
395#3757—61no—
396#3757—64no—
397#3757—61no—
398#3757—124no—
399#3753—34no—
400#3753—316no—
401#3753—34no—
402#3753—34no—
403#3753—616no—
404#3753C4×D314yescomplemented
405#3752—21no—
406#3752—61no—
407#3752—64no—
408#3752—61no—
409#3752—61no—
410#3752—124no—
411C4⋊(C3⋊Dic3)—31no—
412C4⋊(C3⋊Dic3)—34no—
413C4⋊(C3⋊Dic3)—61no—
414C4⋊(C3⋊Dic3)—64no—
415C4⋊(C3⋊Dic3)C22×D311yescharacteristic
416C4×C3⋊Dic3—31no—
417C4×C3⋊Dic3—34no—
418C4×C3⋊Dic3—31no—
419C4×C3⋊Dic3—31no—
420C4×C3⋊Dic3—64no—
421C4×C3⋊Dic3C22×D311yescharacteristic
422C2×C3⋊(C3⋊C8)—31no—
423C2×C3⋊(C3⋊C8)—34no—
424C2×C3⋊(C3⋊C8)—34no—
425C2×C3⋊(C3⋊C8)—64no—
426C2×C3⋊(C3⋊C8)C22×D311yescharacteristic
427C3×#217—64no—
428C3×#213—316no—
429C3×(C2×D3)⋊C4—64no—
430C3×C4⋊Dic3—34no—
431C3×C4⋊Dic3C22×D314yes—
432C3×Dic3⋊C4—24no—
433C3×C4×Dic3—34no—
434C2×C3×C3⋊C8—34no—
435C2×C3×C3⋊C8C22×D314yes—
436C3×D3×C8—28no—
437Dic3⋊Dic3—64no—
438#3722—64no—
439(C2×D3)⋊Dic3—64no—
440(C2×D3)⋊Dic3—64no—
441(C2×D3)⋊Dic3—64no—
442Dic32—34no—
443Dic32—34no—
444#3714—316no—
445#3713—316no—
446D3×C3⋊C8—316no—
447C2×#442—271noSylow
448C22×C33—22no—
449C22×C33—41no—
450C22×C33—41no—
451C22×C33C22×D411yescharacteristic
452C2×C3⋊(C3⋊D3)—22no—
453C2×C3⋊(C3⋊D3)—41no—
454C2×C3⋊(C3⋊D3)—41no—
455C2×C3×C3⋊D3—22no—
456C2×C3×C3⋊D3—41no—
457C2×C3×C3⋊D3—41no—
458C2×C32×D3—22no—
459C2×C32×D3—41no—
460C2×C32×D3—41no—
461C2×C32×D3—48no—
462C2×C32×D3C4×D412yes—
463C2×C32×D3AGL(1,ℤ/8)12yes—
464C2×C32×D3AGL(1,ℤ/8)12yes—
465D3×C3⋊D3—48no—
466C33×C4—41no—
467C33×C4C23×C411yescharacteristic
468C33×C4C2×#4111yescharacteristic
469C3⋊(C3⋊Dic3)—21no—
470C3⋊(C3⋊Dic3)—21no—
471C3⋊(C3⋊Dic3)—41no—
472C3×C3⋊Dic3—21no—
473C3×C3⋊Dic3—21no—
474C3×C3⋊Dic3—41no—
475C32×Dic3—41no—
476C32×Dic3C4×D412yes—
477C22×C3×D4—34no—
478C23×Dic3—184no—
479C2×D3×D4—91no—
480C2×D3×D4C2×C3⋊D311yescharacteristic
481C22×D12—94no—
482C22×C4×D3—181no—
483C22×C4×D3—184no—
484C22×C4×D3—181no—
485C2×C3×D8—91no—
486C22×C3×C8—34no—
487C3×C4×D4—91no—
488C3×C4×D4—91no—
489C2×C3×C4⋊C4—34no—
490C2×#217—184no—
491D4×Dic3—34no—
492D4×Dic3—94no—
493D4×Dic3—94no—
494D4×Dic3—94no—
495D4×Dic3—91no—
496D4×Dic3—91no—
497D4×Dic3—184no—
498D4×Dic3—184no—
499D4×Dic3—184no—
500C2×#213—34no—
501C2×#213—94no—
502C2×#213—932no—
503C2×#213—94no—
504C2×#213—94no—
505C2×#213—91no—
506C2×#213—91no—
507C2×#213—184no—
508C4×#67—181no—
509C4×#67—181no—
510C2×(C2×D3)⋊C4—184no—
511C2×C4⋊Dic3—94no—
512C2×C4×Dic3—94no—
513C22×C3⋊C8—94no—
514D3×D8—98no—
515C2×D24—91no—
516C2×D3×C8—91no—
517C2×D3×C8C2×C3⋊D311yescharacteristic
518#893—34no—
519#893—94no—
520#893—94no—
521#893—91no—
522#893—94no—
523#893—91no—
524#893—184no—
525#893—184no—
526#893—184no—
527D3×C4⋊C4—91no—
528D3×C4⋊C4C2×C3⋊D311yescharacteristic
529#67⋊C4—181no—
530#67⋊C4—181no—
531D3×C22⋊C4—181no—
532D3×C22⋊C4—181no—
533C4×D12—91no—
534C4×D12—91no—
535C42×D3—91no—
536C3×#106—91no—
537C3×#102—24no—
538C3×#102—34no—
539C3×#102—34no—
540C3×#102—34no—
541C3×#102—91no—
542C3×#102D3214yescomplemented
543C3×#102C2×C3⋊D311yescharacteristic, complemented
544C3×#97—91no—
545#832—91no—
546#832C2×C3⋊D311yescharacteristic, complemented
547#821—34no—
548#821—94no—
549#821—94no—
550#821—94no—
551#821—91no—
552#821—184no—
553#821C2×C3⋊D311yescharacteristic, complemented
554#817—91no—
555#815—34no—
556#815—94no—
557#815—94no—
558#815—94no—
559#815—91no—
560#815—91no—
561#815—184no—
562#809—91no—
563#809C2×C3⋊D311yescharacteristic, complemented
564#808—34no—
565#808—94no—
566#808—94no—
567#808—94no—
568#808—91no—
569#808—91no—
570#808—184no—
571#803—91no—
572C23×C32—21no—
573C23×C32—24no—
574C23×C32—31no—
575C23×C32—44no—
576C23×C32—64no—
577C23×C32—61no—
578C23×C32—122no—
579C23×C32—122no—
580C22×C3⋊D3—21no—
581C22×C3⋊D3—64no—
582C22×C3⋊D3—61no—
583C22×C3⋊D3—64no—
584C22×C3⋊D3—124no—
585C22×C3⋊D3—122no—
586C22×C3⋊D3—122no—
587C22×C3×D3—24no—
588C22×C3×D3—216no—
589C22×C3×D3—48no—
590C22×C3×D3—48no—
591C22×C3×D3—64no—
592C22×C3×D3D3×D414yes—
593C2×D32—616no—
594C2×D32—128no—
595C2×D32—128no—
596C32×D4—21no—
597C32×D4—28no—
598C32×D4—24no—
599C32×D4—32no—
600C32×D4—44no—
601C32×D4—64no—
602C32×D4—61no—
603C32×D4C2×C4×D318yescomplemented
604C32×D4C2×C4×D312yescomplemented
605C2×C32×C4—21no—
606C2×C32×C4—24no—
607C2×C32×C4—24no—
608C2×C32×C4—31no—
609C2×C32×C4—32no—
610C2×C32×C4—32no—
611C2×C32×C4—44no—
612C2×C32×C4—61no—
613C2×C32×C4—122no—
614C2×C32×C4C23×D314yes—
615C2×C32×C4C23×D311yescharacteristic
616C2×C3⋊Dic3—21no—
617C2×C3⋊Dic3—31no—
618C2×C3⋊Dic3—31no—
619C2×C3⋊Dic3—34no—
620C2×C3⋊Dic3—34no—
621C2×C3⋊Dic3—42no—
622C2×C3⋊Dic3—64no—
623C2×C3⋊Dic3—64no—
624C2×C3⋊Dic3—62no—
625C2×C3⋊Dic3—62no—
626C2×C3⋊Dic3—61no—
627C2×C3⋊Dic3—64no—
628C2×C3⋊Dic3—124no—
629C2×C3⋊Dic3—122no—
630C2×C3⋊Dic3—122no—
631C2×C3⋊Dic3—122no—
632C2×C3⋊Dic3—122no—
633C2×C3⋊Dic3—128no—
634C2×C3⋊Dic3—248no—
635C2×C3⋊Dic3D3×D411yescharacteristic
636C2×C3⋊Dic3D3×D411yescharacteristic
637C4⋊(C3⋊D3)—21no—
638C4⋊(C3⋊D3)—32no—
639C4⋊(C3⋊D3)—38no—
640C4⋊(C3⋊D3)—68no—
641C4⋊(C3⋊D3)—64no—
642C4⋊(C3⋊D3)—61no—
643C4⋊(C3⋊D3)—64no—
644C4⋊(C3⋊D3)—124no—
645C4⋊(C3⋊D3)C2×C4×D312yescomplemented
646C4×C3⋊D3—42no—
647C4×C3⋊D3—122no—
648C4×C3⋊D3—122no—
649C4×C3⋊D3—122no—
650C4×C3⋊D3—128no—
651C4×C3⋊D3—248no—
652C3×#67—216no—
653C2×C3×Dic3—24no—
654C2×C3×Dic3—34no—
655C2×C3×Dic3—34no—
656C2×C3×Dic3—64no—
657C2×C3×Dic3—128no—
658C2×C3×Dic3D3×D414yes—
659C3×D12—24no—
660C3×D12—38no—
661C3×D12—64no—
662C3×D12C2×C4×D318yescomplemented
663C3×C4×D3—48no—
664C3×C4×D3—128no—
665C3×C4×D3C2×C4×D318yes—
666C3×C4×D3#23718yes—
667#626—616no—
668#624—128no—
669D3×Dic3—68no—
670D3×Dic3—68no—
671D3×Dic3—128no—
672D3×Dic3—128no—
673D3×Dic3—128no—
674D3×Dic3—128no—
675C32×C8—21no—
676C32×C8—24no—
677C32×C8—44no—
678C32×C8—61no—
679C3⋊(C3⋊C8)—32no—
680C3⋊(C3⋊C8)—38no—
681C3⋊(C3⋊C8)—68no—
682C3⋊(C3⋊C8)C2×C4×D312yescomplemented
683C3×C3⋊C8—24no—
684C3×C3⋊C8—38no—
685C22×D8—271no—
686C2×C4×D4—271no—
687C2×C4×D4—271no—
688#442—91no—
689#442—271no—
690#442—271no—
691#442—271no—
692#442—271no—
693#442—271no—
694#442—271no—
695#442—271no—
696C2×#106—271no—
697C2×#102—31no—
698C2×#102—271no—
699C2×#97—271no—
700C2×C33—42no—
701C2×C33C2×C4×D411yescharacteristic
702C2×C33C2×AGL(1,ℤ/8)11yescharacteristic
703C2×C33C2×AGL(1,ℤ/8)11yescharacteristic
704C3⋊(C3⋊D3)—42no—
705C3×C3⋊D3—42no—
706C32×D3—42no—
707C32×D3#44214yescomplemented
708C24×C3—64no—
709C23×D3—21no—
710C23×D3—184no—
711C23×D3—181no—
712C2×C3×D4—24no—
713C2×C3×D4—316no—
714C2×C3×D4—34no—
715C2×C3×D4—68no—
716C2×C3×D4—64no—
717C2×C3×D4—91no—
718C2×C3×D4C2×D3214yes—
719C2×C3×D4C22×C3⋊D311yescharacteristic
720C22×C3×C4—34no—
721C22×C3×C4—64no—
722C22×C3×C4—181no—
723C22×C3×C4—181no—
724C2×#67—21no—
725C2×#67—181no—
726C22×Dic3—64no—
727C22×Dic3—94no—
728C22×Dic3—94no—
729C22×Dic3—181no—
730C22×Dic3—184no—
731C22×Dic3—184no—
732C22×Dic3—184no—
733C22×Dic3—181no—
734C22×Dic3—184no—
735C22×Dic3—364no—
736C22×Dic3—3616no—
737D3×D4—22no—
738D3×D4—94no—
739D3×D4—182no—
740D3×D4C4×C3⋊D314yescomplemented
741C2×D12—34no—
742C2×D12—916no—
743C2×D12—94no—
744C2×D12—91no—
745C2×D12—184no—
746C2×D12—188no—
747C2×D12—184no—
748C2×D12C22×C3⋊D311yescharacteristic
749C2×C4×D3—21no—
750C2×C4×D3—64no—
751C2×C4×D3—91no—
752C2×C4×D3—91no—
753C2×C4×D3—181no—
754C2×C4×D3—184no—
755C2×C4×D3—181no—
756C2×C4×D3—184no—
757C2×C4×D3—184no—
758C2×C4×D3—181no—
759C2×C4×D3—181no—
760C2×C4×D3—181no—
761C2×C4×D3—364no—
762C2×C4×D3—364no—
763C2×C4×D3—3616no—
764C2×C4×D3—364no—
765C2×C4×D3C22×C3⋊D311yescharacteristic
766C3×D8—94no—
767C2×C3×C8—24no—
768C2×C3×C8—34no—
769C2×C3×C8—68no—
770C2×C3×C8—91no—
771C2×C3×C8C2×D3214yes—
772C2×C3×C8C22×C3⋊D311yescharacteristic
773C3×C4⋊C4—24no—
774C3×C4⋊C4—34no—
775C3×C4⋊C4—64no—
776C3×C4⋊C4—91no—
777C3×C4⋊C4C2×D3214yes—
778C3×C4⋊C4C22×C3⋊D311yescharacteristic
779C3×C22⋊C4—181no—
780C3×C22⋊C4—181no—
781C3×C42—91no—
782#217—64no—
783#217—181no—
784#217—184no—
785#217—184no—
786#217—181no—
787#217—184no—
788#217—364no—
789#213—316no—
790#213—916no—
791#213—916no—
792#213—916no—
793#213—94no—
794#213—94no—
795#213—1816no—
796(C2×D3)⋊C4—64no—
797(C2×D3)⋊C4—181no—
798(C2×D3)⋊C4—184no—
799(C2×D3)⋊C4—181no—
800(C2×D3)⋊C4—184no—
801(C2×D3)⋊C4—184no—
802(C2×D3)⋊C4—181no—
803(C2×D3)⋊C4—181no—
804(C2×D3)⋊C4—364no—
805C4⋊Dic3—34no—
806C4⋊Dic3—94no—
807C4⋊Dic3—91no—
808C4⋊Dic3—184no—
809C4⋊Dic3—184no—
810C4⋊Dic3C22×C3⋊D311yescharacteristic
811Dic3⋊C4—21no—
812Dic3⋊C4—181no—
813C4×Dic3—34no—
814C4×Dic3—94no—
815C4×Dic3—94no—
816C4×Dic3—94no—
817C4×Dic3—91no—
818C4×Dic3—91no—
819C4×Dic3—91no—
820C4×Dic3—184no—
821C2×C3⋊C8—34no—
822C2×C3⋊C8—916no—
823C2×C3⋊C8—94no—
824C2×C3⋊C8—91no—
825C2×C3⋊C8—184no—
826C2×C3⋊C8C22×C3⋊D311yescharacteristic
827D24—94no—
828D3×C8—22no—
829D3×C8—94no—
830C22×C32—22no—
831C22×C32—24no—
832C22×C32—28no—
833C22×C32—32no—
834C22×C32—32no—
835C22×C32—32no—
836C22×C32—48no—
837C22×C32—41no—
838C22×C32—41no—
839C22×C32—44no—
840C22×C32—44no—
841C22×C32—62no—
842C22×C32—84no—
843C22×C32—84no—
844C22×C32—128no—
845C22×C32—121no—
846C22×C32—121no—
847C22×C32C2×D3×D414yes—
848C22×C32C2×D3×D411yescharacteristic
849C2×C3⋊D3—22no—
850C2×C3⋊D3—41no—
851C2×C3⋊D3—41no—
852C2×C3⋊D3—62no—
853C2×C3⋊D3—68no—
854C2×C3⋊D3—128no—
855C2×C3⋊D3—128no—
856C2×C3⋊D3—121no—
857C2×C3⋊D3—121no—
858C2×C3⋊D3—124no—
859C2×C3⋊D3—124no—
860C2×C3⋊D3—244no—
861C2×C3⋊D3—244no—
862C2×C3×D3—28no—
863C2×C3×D3—44no—
864C2×C3×D3—44no—
865C2×C3×D3—432no—
866C2×C3×D3—68no—
867C2×C3×D3—124no—
868C2×C3×D3—124no—
869C2×C3×D3#67⋊C418yes—
870C2×C3×D3#91118yes—
871C2×C3×D3#91418yes—
872D32—1232no—
873C32×C4—24no—
874C32×C4—24no—
875C32×C4—32no—
876C32×C4—41no—
877C32×C4—44no—
878C32×C4—84no—
879C32×C4—121no—
880C32×C4C22×C4×D314yes—
881C32×C4C22×C4×D311yescharacteristic
882C32×C4C2×#23714yes—
883C32×C4D3×#4111yescharacteristic
884C3⋊Dic3—21no—
885C3⋊Dic3—21no—
886C3⋊Dic3—41no—
887C3⋊Dic3—61no—
888C3⋊Dic3—61no—
889C3⋊Dic3—64no—
890C3⋊Dic3—64no—
891C3⋊Dic3—124no—
892C3⋊Dic3—124no—
893C3⋊Dic3—121no—
894C3⋊Dic3—124no—
895C3⋊Dic3—244no—
896C3×Dic3—44no—
897C3×Dic3—64no—
898C3×Dic3—64no—
899C3×Dic3—124no—
900C3×Dic3#67⋊C418yes—
901C22×D4—31no—
902C22×D4—271no—
903C23×C4—541no—
904C23×C4—541no—
905C2×D8—91no—
906C2×D8—271no—
907C2×D8—278no—
908C2×D8—271no—
909C2×D8—271no—
910C22×C8—31no—
911C22×C8—271no—
912C4×D4—91no—
913C4×D4—91no—
914C4×D4—271no—
915C4×D4—271no—
916C4×D4—271no—
917C4×D4—271no—
918C4×D4—271no—
919C4×D4—271no—
920C4×D4—541no—
921C4×D4—541no—
922C4×D4—541no—
923C4×D4—541no—
924C2×C4⋊C4—31no—
925C2×C4⋊C4—271no—
926C2×C22⋊C4—541no—
927C2×C22⋊C4—541no—
928C2×C42—271no—
929#106—91no—
930#106—271no—
931#106—271no—
932#106—271no—
933#102—31no—
934#102—31no—
935#102—31no—
936#102—91no—
937#102—271no—
938#102—271no—
939#102—271no—
940#102D3×C3⋊D311yescharacteristic, complemented
941#97—91no—
942#97—271no—
943#97—271no—
944#97—271no—
945C33C2×#44211yescharacteristic, complemented, Sylow
946C23×C3—24no—
947C23×C3—21no—
948C23×C3—34no—
949C23×C3—44no—
950C23×C3—616no—
951C23×C3—64no—
952C23×C3—128no—
953C23×C3—128no—
954C23×C3—181no—
955C22×D3—21no—
956C22×D3—24no—
957C22×D3—42no—
958C22×D3—42no—
959C22×D3—64no—
960C22×D3—1816no—
961C22×D3—184no—
962C22×D3—181no—
963C22×D3—184no—
964C22×D3—364no—
965C22×D3—368no—
966C22×D3—368no—
967C22×D3—362no—
968C22×D3—362no—
969C22×D3D4×C3⋊D311yescharacteristic
970C3×D4—24no—
971C3×D4—21no—
972C3×D4—28no—
973C3×D4—38no—
974C3×D4—44no—
975C3×D4—616no—
976C3×D4—64no—
977C3×D4—92no—
978C3×D4—181no—
979C3×D4C4×D3218yescomplemented
980C3×D4C2×C4×C3⋊D312yescomplemented
981C2×C3×C4—24no—
982C2×C3×C4—21no—
983C2×C3×C4—24no—
984C2×C3×C4—34no—
985C2×C3×C4—38no—
986C2×C3×C4—38no—
987C2×C3×C4—44no—
988C2×C3×C4—64no—
989C2×C3×C4—91no—
990C2×C3×C4—91no—
991C2×C3×C4—128no—
992C2×C3×C4—181no—
993C2×C3×C4—362no—
994C2×C3×C4—362no—
995C2×C3×C4C22×D3214yes—
996C2×C3×C4C23×C3⋊D311yescharacteristic
997#67—24no—
998#67—184no—
999C2×Dic3—21no—
1000C2×Dic3—34no—
1001C2×Dic3—34no—
1002C2×Dic3—64no—
1003C2×Dic3—94no—
1004C2×Dic3—94no—
1005C2×Dic3—91no—
1006C2×Dic3—91no—
1007C2×Dic3—128no—
1008C2×Dic3—184no—
1009C2×Dic3—184no—
1010C2×Dic3—188no—
1011C2×Dic3—188no—
1012C2×Dic3—184no—
1013C2×Dic3—181no—
1014C2×Dic3—364no—
1015C2×Dic3—362no—
1016C2×Dic3—368no—
1017C2×Dic3—368no—
1018C2×Dic3—368no—
1019C2×Dic3—362no—
1020C2×Dic3—368no—
1021C2×Dic3—728no—
1022C2×Dic3D4×C3⋊D311yescharacteristic
1023D12—21no—
1024D12—38no—
1025D12—64no—
1026D12—98no—
1027D12—92no—
1028D12—188no—
1029D12—1816no—
1030D12—184no—
1031D12—181no—
1032D12—364no—
1033D12C2×C4×C3⋊D312yescomplemented
1034C4×D3—42no—
1035C4×D3—128no—
1036C4×D3—182no—
1037C4×D3—182no—
1038C4×D3—362no—
1039C4×D3—368no—
1040C4×D3—362no—
1041C4×D3—368no—
1042C4×D3—368no—
1043C4×D3—362no—
1044C4×D3—362no—
1045C4×D3—362no—
1046C4×D3—728no—
1047C4×D3C2×C4×C3⋊D312yes—
1048C4×D3#383012yes—
1049C3×C8—24no—
1050C3×C8—21no—
1051C3×C8—44no—
1052C3×C8—64no—
1053C3×C8—92no—
1054C3⋊C8—21no—
1055C3⋊C8—38no—
1056C3⋊C8—98no—
1057C3⋊C8—92no—
1058C3⋊C8—188no—
1059C2×C32—24no—
1060C2×C32—24no—
1061C2×C32—24no—
1062C2×C32—34no—
1063C2×C32—42no—
1064C2×C32—48no—
1065C2×C32—88no—
1066C2×C32—122no—
1067C2×C32C2×#67⋊C414yes—
1068C2×C32C4×D3×D411yescharacteristic
1069C2×C32C2×#91114yes—
1070C2×C32C2×#91414yes—
1071C2×C32D3×AGL(1,ℤ/8)11yescharacteristic
1072C2×C32D3×AGL(1,ℤ/8)11yescharacteristic
1073C3⋊D3—42no—
1074C3⋊D3—122no—
1075C3⋊D3—128no—
1076C3⋊D3—248no—
1077C3×D3—48no—
1078C3×D3—128no—
1079C3×D3#4785116yescomplemented
1080C24—61no—
1081C24—541no—
1082C2×D4—34no—
1083C2×D4—31no—
1084C2×D4—62no—
1085C2×D4—61no—
1086C2×D4—91no—
1087C2×D4—274no—
1088C2×D4—271no—
1089C2×D4—542no—
1090C2×D4—541no—
1091C2×D4C2×D3×C3⋊D311yescharacteristic
1092C22×C4—31no—
1093C22×C4—61no—
1094C22×C4—181no—
1095C22×C4—181no—
1096C22×C4—271no—
1097C22×C4—271no—
1098C22×C4—541no—
1099C22×C4—541no—
1100C22×C4—541no—
1101C22×C4—541no—
1102C22×C4—541no—
1103C22×C4—541no—
1104C22×C4—541no—
1105C22×C4—1084no—
1106C22×C4—1084no—
1107D8—94no—
1108D8—274no—
1109D8—274no—
1110D8—274no—
1111C2×C8—31no—
1112C2×C8—62no—
1113C2×C8—91no—
1114C2×C8—274no—
1115C2×C8—271no—
1116C2×C8C2×D3×C3⋊D311yescharacteristic
1117C4⋊C4—31no—
1118C4⋊C4—61no—
1119C4⋊C4—91no—
1120C4⋊C4—271no—
1121C4⋊C4—541no—
1122C4⋊C4C2×D3×C3⋊D311yescharacteristic
1123C22⋊C4—181no—
1124C22⋊C4—181no—
1125C22⋊C4—541no—
1126C22⋊C4—541no—
1127C22⋊C4—541no—
1128C22⋊C4—541no—
1129C22⋊C4—541no—
1130C22⋊C4—541no—
1131C42—91no—
1132C42—271no—
1133C42—271no—
1134C42—271no—
1135C22×C3—22no—
1136C22×C3—28no—
1137C22×C3—24no—
1138C22×C3—38no—
1139C22×C3—38no—
1140C22×C3—38no—
1141C22×C3—48no—
1142C22×C3—41no—
1143C22×C3—41no—
1144C22×C3—44no—
1145C22×C3—44no—
1146C22×C3—68no—
1147C22×C3—84no—
1148C22×C3—84no—
1149C22×C3—1232no—
1150C22×C3—124no—
1151C22×C3—124no—
1152C22×C3—182no—
1153C22×C3—361no—
1154C22×C3—361no—
1155C22×C3D32×D414yes—
1156C22×C3C2×D4×C3⋊D311yescharacteristic
1157C2×D3—22no—
1158C2×D3—41no—
1159C2×D3—41no—
1160C2×D3—48no—
1161C2×D3—68no—
1162C2×D3—124no—
1163C2×D3—124no—
1164C2×D3—182no—
1165C2×D3—188no—
1166C2×D3—368no—
1167C2×D3—3632no—
1168C2×D3—361no—
1169C2×D3—361no—
1170C2×D3—364no—
1171C2×D3—364no—
1172C2×D3—368no—
1173C2×D3—724no—
1174C2×D3—724no—
1175C2×D3#6409012yes—
1176C2×D3#6412012yes—
1177C2×D3#6412312yes—
1178C3×C4—24no—
1179C3×C4—24no—
1180C3×C4—38no—
1181C3×C4—41no—
1182C3×C4—44no—
1183C3×C4—84no—
1184C3×C4—124no—
1185C3×C4—181no—
1186C3×C4—181no—
1187C3×C4—361no—
1188C3×C4C2×C4×D3214yes—
1189C3×C4D3×#23714yes—
1190C3×C4C22×C4×C3⋊D311yescharacteristic
1191C3×C4C2×#383011yescharacteristic
1192Dic3—41no—
1193Dic3—64no—
1194Dic3—64no—
1195Dic3—124no—
1196Dic3—181no—
1197Dic3—181no—
1198Dic3—184no—
1199Dic3—184no—
1200Dic3—364no—
1201Dic3—364no—
1202Dic3—361no—
1203Dic3—364no—
1204Dic3—724no—
1205Dic3#6409012yes—
1206C32—24no—
1207C32C2×#478514yescomplemented
1208C32D3×#44211yescharacteristic, complemented
1209C23—21no—
1210C23—31no—
1211C23—64no—
1212C23—61no—
1213C23—122no—
1214C23—122no—
1215C23—181no—
1216C23—544no—
1217C23—541no—
1218C23—1082no—
1219C23—1082no—
1220D4—21no—
1221D4—32no—
1222D4—64no—
1223D4—61no—
1224D4—92no—
1225D4—181no—
1226D4—272no—
1227D4—544no—
1228D4—541no—
1229D4C4×D3×C3⋊D312yescomplemented
1230C2×C4—21no—
1231C2×C4—31no—
1232C2×C4—32no—
1233C2×C4—32no—
1234C2×C4—61no—
1235C2×C4—91no—
1236C2×C4—91no—
1237C2×C4—122no—
1238C2×C4—181no—
1239C2×C4—271no—
1240C2×C4—271no—
1241C2×C4—362no—
1242C2×C4—362no—
1243C2×C4—542no—
1244C2×C4—542no—
1245C2×C4—541no—
1246C2×C4—1082no—
1247C2×C4—1082no—
1248C2×C4—1082no—
1249C2×C4—1082no—
1250C2×C4—1082no—
1251C2×C4—1082no—
1252C2×C4—1082no—
1253C2×C4C22×D3×C3⋊D311yescharacteristic
1254C8—21no—
1255C8—61no—
1256C8—92no—
1257C8—272no—
1258C2×C3—24no—
1259C2×C3—24no—
1260C2×C3—24no—
1261C2×C3—316no—
1262C2×C3—42no—
1263C2×C3—48no—
1264C2×C3—88no—
1265C2×C3—128no—
1266C2×C3—362no—
1267C2×C3D3×#67⋊C414yes—
1268C2×C3D3×#91114yes—
1269C2×C3D3×#91414yes—
1270C2×C3C2×#6409011yescharacteristic
1271C2×C3C2×#6412011yescharacteristic
1272C2×C3C2×#6412311yescharacteristic
1273D3—42no—
1274D3—128no—
1275D3—362no—
1276D3—368no—
1277D3—728no—
1278D3#1059248414yesdirect product factor
1279C22—22no—
1280C22—32no—
1281C22—32no—
1282C22—32no—
1283C22—41no—
1284C22—41no—
1285C22—62no—
1286C22—128no—
1287C22—121no—
1288C22—121no—
1289C22—182no—
1290C22—361no—
1291C22—361no—
1292C22—542no—
1293C22—1088no—
1294C22—1081no—
1295C22—1081no—
1296C22D3×D4×C3⋊D311yescharacteristic
1297C4—32no—
1298C4—41no—
1299C4—121no—
1300C4—181no—
1301C4—181no—
1302C4—361no—
1303C4—541no—
1304C4—541no—
1305C4—1081no—
1306C4C2×C4×D3×C3⋊D311yescharacteristic
1307C4D3×#383011yescharacteristic
1308C3—24no—
1309C3C2×#1059248411yescharacteristic, complemented
1310C3D3×#478514yescomplemented
1311C2—34no—
1312C2—42no—
1313C2—122no—
1314C2—362no—
1315C2—1082no—
1316C2D3×#6409011yescharacteristic
1317C2D3×#6412011yescharacteristic
1318C2D3×#6412311yescharacteristic
subgroupG/H
centerC22D3×D4×C3⋊D3
commutatorC33×C4C23×C4
FrattiniC2×C4C22×D3×C3⋊D3
FittingC33×#102C22
socleC22×C33C22×D4
prime radicalC2×D3×#3753C2
cosocleC2×C33×C4C24
hypercenter#102D3×C3⋊D3
hypocenterC33C2×#442
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. D3×D4×C3⋊Dic3C2semidirect
3. D3×#64102C2semidirect
4. #13163424C2semidirect
5. C3×#10592484C2semidirect
6. C32×D3×#102C2semidirect
7. #13160922C2semidirect
8. #13160912C2semidirect
9. D3×#63648C2semidirect
10. #13159932C2semidirect
11. #13159928C2semidirect
12. D3×#63642C2semidirect
13. #13159366C2semidirect
14. #13159355C2semidirect
15. D3×#63635C2semidirect
22. D4×C3⋊(C3⋊Dic3)C22semidirect
24. #11723934C22semidirect
25. C3×D4×C3⋊Dic3C22semidirect
27. C3×#64102C22semidirect
33. D3×#3753C4semidirect
36. #11723501C22semidirect
37. #11723499C22semidirect
38. #11723494C22semidirect
39. D12×C3⋊Dic3C22semidirect
46. C33×#102C22semidirect
47. #11722191C22semidirect
48. #11722185C22semidirect
49. #11722178C22semidirect
50. C3×#63648C22semidirect
51. C3×#63642C22semidirect
52. C3×#63635C22semidirect
53. C32×#832C22semidirect
54. C32×#821C22semidirect
55. C32×#809C22semidirect
56. #11722054C22semidirect
57. #11722053C22semidirect
58. #11722036C22semidirect
59. #11722034C22semidirect
60. #11722021C22semidirect
61. #11722020C22semidirect
81. #10592484D3direct (N × H)
83. C3×D3×#102D3semidirect
104. C32×D3×D4C2×C4semidirect
118. D3×C4⋊(C3⋊D3)C2×C4semidirect
123. #88860C2×C4semidirect
129. C3×#3753C2×C4semidirect
145. #88790C2×C4semidirect
146. #88789C2×C4semidirect
147. D3×C3⋊(C3⋊C8)C2×C4semidirect
168. D4×C3⋊Dic3C2×D3semidirect
187. #64102C2×D3semidirect
213. C32×#102C2×D3semidirect
214. C32×#102C2×D3semidirect
220. #63648C2×D3semidirect
226. #63642C2×D3semidirect
232. #63635C2×D3semidirect
233. C3×#832C2×D3semidirect
235. C3×#821C2×D3semidirect
237. C3×#809C2×D3semidirect
257. C33×D4C22×C4semidirect
265. C4⋊(C3⋊(C3⋊D3))C22×C4semidirect
272. C3×C4⋊(C3⋊D3)C22×C4semidirect
278. C32×D12C22×C4semidirect
291. C3⋊(C3⋊(C3⋊C8))C22×C4semidirect
292. C3×C3⋊(C3⋊C8)C22×C4semidirect
322. D3×#102C3⋊D3semidirect
365. C3×D3×D4C4×D3semidirect
404. #3753C4×D3semidirect
542. C3×#102D32semidirect
543. C3×#102C2×C3⋊D3semidirect
546. #832C2×C3⋊D3semidirect
553. #821C2×C3⋊D3semidirect
563. #809C2×C3⋊D3semidirect
603. C32×D4C2×C4×D3semidirect
604. C32×D4C2×C4×D3semidirect
645. C4⋊(C3⋊D3)C2×C4×D3semidirect
662. C3×D12C2×C4×D3semidirect
682. C3⋊(C3⋊C8)C2×C4×D3semidirect
707. C32×D3#442semidirect
740. D3×D4C4×C3⋊D3semidirect
940. #102D3×C3⋊D3semidirect
945. C33C2×#442semidirect
979. C3×D4C4×D32semidirect
980. C3×D4C2×C4×C3⋊D3semidirect
1033. D12C2×C4×C3⋊D3semidirect
1079. C3×D3#4785semidirect
1207. C32C2×#4785semidirect
1208. C32D3×#442semidirect
1229. D4C4×D3×C3⋊D3semidirect
1278. D3#10592484direct (N × H)
1309. C3C2×#10592484semidirect
1310. C3D3×#4785semidirect

Maximal subgroups

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

subgroupindex
C2×D3×#37532
D3×D4×C3⋊Dic32
D3×#641022
#131634242
C3×#105924842
C32×D3×#1022
#131609222
#131609122
D3×#636482
#131599322
#131599282
D3×#636422
#131593662
#131593552
D3×#636352
D3×#47853
C2×#105924843