Finite Group Databasebeta

← D3×#10592713 #72252928

Subgroups — D3×#10592713 #72252928

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
1C32×C4×D3×D4C211yesmaximal, characteristic, complemented
2C2×D3×#3753C211yesmaximal, characteristic
3C4×D3×C4⋊(C3⋊D3)C211yesmaximal, characteristic, complemented
4#13163654C211yesmaximal, characteristic, complemented
5C3×#10592713C211yesmaximal, characteristic, complemented
6#13160918C211yesmaximal, characteristic, complemented
7#13160917C211yesmaximal, characteristic, complemented
8D3×#63659C211yesmaximal, characteristic, complemented
9D3×#63636C211yesmaximal, characteristic, complemented
10#13159364C211yesmaximal, characteristic, complemented
11#13159358C211yesmaximal, characteristic, complemented
12D3×#63635C211yesmaximal, characteristic, complemented
13#13158957C211yesmaximal, characteristic, complemented
14#13158953C211yesmaximal, characteristic, complemented
15D3×#63630C211yesmaximal, characteristic, complemented
16D3×#5014—34nomaximal
17C2×#10592713—31nomaximal
18C2×C32×D3×D4C2211yescharacteristic
19C22×C32×C4×D3—21no—
20C2×D3×C4⋊(C3⋊D3)C2211yescharacteristic
21C2×C4×D3×C3⋊D3—21no—
22C33×C4×D4C2211yescharacteristic, complemented
23C2×#88860C2211yescharacteristic
24C4×C4⋊(C3⋊(C3⋊D3))C2211yescharacteristic, complemented
25C2×C3×#3753C2211yescharacteristic
26C3×C4×C4⋊(C3⋊D3)C2211yescharacteristic, complemented
27C32×D4×Dic3C2211yescharacteristic, complemented
28C32×C4×#67—21no—
29C32×#893C2211yescharacteristic, complemented
30C32×D3×C4⋊C4C2211yescharacteristic
31C32×#67⋊C4—21no—
32C32×D3×C22⋊C4—21no—
33C32×C4×D12C2211yescharacteristic, complemented
34C32×C42×D3C2211yescharacteristic
35D3×#3753C418yescomplemented
36D3×#3752—21no—
37C4×#6292—21no—
38#11723484C2211yescharacteristic, complemented
39Dic3×C4⋊(C3⋊D3)C2211yescharacteristic, complemented
40D3×C4⋊(C3⋊Dic3)C2211yescharacteristic
41#11723471—21no—
42C2×#88790C2211yescharacteristic
43C2×#88789C2211yescharacteristic
44C2×D3×C3⋊(C3⋊C8)C2211yescharacteristic
45C2×D3×C3⋊(C3⋊C8)C2211yescharacteristic
46#11722202C2211yescharacteristic, complemented
47#11722179C2211yescharacteristic, complemented
48#11722178C2211yescharacteristic, complemented
49#11722173C2211yescharacteristic, complemented
50C3×#63659C2211yescharacteristic, complemented
51C3×#63636C2211yescharacteristic, complemented
52C3×#63635C2211yescharacteristic, complemented
53C3×#63630C2211yescharacteristic, complemented
54#11722054C2211yescharacteristic, complemented
55#11722053C2211yescharacteristic, complemented
56#11722035C2211yescharacteristic, complemented
57#11722033C2211yescharacteristic, complemented
58#11722032C2211yescharacteristic, complemented
59#11722031C2211yescharacteristic, complemented
60#11722019C2211yescharacteristic, complemented
61#11722019C2211yescharacteristic, complemented
62C2×C32×C4×D4—31no—
63C22×#3753—31no—
64C2×C4×C4⋊(C3⋊D3)—31no—
65C3×C4×D3×D4D314yescomplemented
66C2×D3×#213—34no—
67C4×D3×D12—34no—
68C2×#63659—31no—
69#10592713—31no—
70#10592713—31no—
71#10592713—34no—
72#10592713—31no—
73#10592713—31no—
74#10592713—31no—
75#10592713—31no—
76#10592713—31no—
77#10592713—64no—
78#10592713D311yescharacteristic, direct product factor
79C2×#63636—31no—
80C2×#63635—31no—
81C2×#63630—31no—
82C3×#5014—34no—
83#10591430—34no—
84D3×#832—34no—
85#10591404—34no—
86D3×#809—34no—
87#10590589—34no—
88D3×#808—34no—
89#10590455—34no—
90#10590346—34no—
91#10590344—34no—
92D3×#803—34no—
93C23×C32×D3—21no—
94C22×D3×C3⋊D3—21no—
95C2×C33×D4C2311yescharacteristic
96C22×C33×C4—21no—
97C2×C4⋊(C3⋊(C3⋊D3))C2311yescharacteristic
98C2×C4×C3⋊(C3⋊D3)—21no—
99C2×C3×C4⋊(C3⋊D3)C2311yescharacteristic
100C2×C3×C4×C3⋊D3—21no—
101C2×C32×#67—21no—
102C22×C32×Dic3—21no—
103C32×D3×D4—22no—
104C32×D3×D4C2×C414yescomplemented
105C2×C32×D12C2311yescharacteristic
106C2×C32×C4×D3—21no—
107C2×C32×C4×D3—21no—
108C2×C32×C4×D3—21no—
109C2×C32×C4×D3—44no—
110C2×C32×C4×D3D411yescharacteristic
111C2×C32×C4×D3D411yescharacteristic
112C2×C32×C4×D3C2311yescharacteristic
113C2×#6292—21no—
114C2×#6289—21no—
115C2×Dic3×C3⋊D3—21no—
116C2×D3×C3⋊Dic3—21no—
117D3×C4⋊(C3⋊D3)—22no—
118D3×C4⋊(C3⋊D3)C2×C414yescomplemented
119C4×D3×C3⋊D3—44no—
120C33×C4⋊C4C2311yescharacteristic
121C33×C22⋊C4—21no—
122C33×C42C2311yescharacteristic
123#88860C2×C414yescomplemented
124#88859—21no—
125C4⋊(C3⋊(C3⋊Dic3))C2311yescharacteristic
126C2×C3⋊(C3⋊(C3⋊C8))C2311yescharacteristic
127C2×C3⋊(C3⋊(C3⋊C8))C2311yescharacteristic
128C3×#3753C2×C414yescomplemented
129C3×#3752—21no—
130C3×C4⋊(C3⋊Dic3)C2311yescharacteristic
131C2×C3×C3⋊(C3⋊C8)C2311yescharacteristic
132C2×C3×C3⋊(C3⋊C8)C2311yescharacteristic
133C32×#217—21no—
134C32×(C2×D3)⋊C4—21no—
135C32×(C2×D3)⋊C4—21no—
136C32×C4⋊Dic3C2311yescharacteristic
137C32×Dic3⋊C4—21no—
138C32×C4×Dic3D411yescharacteristic
139C32×C4×Dic3D411yescharacteristic
140C32×C4×Dic3C2311yescharacteristic
141Dic3⋊(C3⋊Dic3)—21no—
142#88804—21no—
143#88803—21no—
144#88790C2×C414yescomplemented
145#88789C2×C414yescomplemented
146D3×C3⋊(C3⋊C8)—22no—
147D3×C3⋊(C3⋊C8)C2×C414yescomplemented
148C2×#5014—94no—
149D3×#442—91no—
150C22×C32×D4—31no—
151C23×C32×C4—61no—
152C22×C4⋊(C3⋊D3)—31no—
153C22×C4×C3⋊D3—61no—
154C2×C3×D3×D4C2×D314yes—
155C22×C3×C4×D3—24no—
156C2×D3×D12—34no—
157C2×C4×D32—64no—
158C32×C4×D4—24no—
159C32×C4×D4—31no—
160C32×C4×D4—31no—
161C32×C4×D4—31no—
162C32×C4×D4—61no—
163C32×C4×D4—61no—
164C32×C4×D4C2×D314yescomplemented
165C32×C4×D4C2×D311yescharacteristic, complemented
166C2×C32×C4⋊C4—31no—
167C2×C32×C22⋊C4—61no—
168C2×C32×C42—31no—
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—
178C22×C3⋊(C3⋊C8)—31no—
179C22×C3⋊(C3⋊C8)—31no—
180C4×C4⋊(C3⋊D3)—31no—
181C4×C4⋊(C3⋊D3)—31no—
182C4×C4⋊(C3⋊D3)—31no—
183C4×C4⋊(C3⋊D3)—34no—
184C4×C4⋊(C3⋊D3)—64no—
185C4×C4⋊(C3⋊D3)—61no—
186C4×C4⋊(C3⋊D3)—61no—
187C4×C4⋊(C3⋊D3)C2×D311yescharacteristic, complemented
188C3×D4×Dic3C2×D314yescomplemented
189C2×C3×#213—34no—
190C3×C4×#67—24no—
191C3×#893C2×D314yescomplemented
192C3×D3×C4⋊C4C2×D314yes—
193C3×#67⋊C4—24no—
194C3×D3×C22⋊C4—24no—
195C3×C4×D12—34no—
196C3×C4×D12C2×D314yescomplemented
197C3×C42×D3C2×D314yes—
198D3×#213—332no—
199D3×(C2×D3)⋊C4—64no—
200C4×#626—64no—
201#63894—34no—
202Dic3×D12—34no—
203D3×C4⋊Dic3—34no—
204#63880—64no—
205C2×#3714—34no—
206C2×#3713—34no—
207C2×D3×C3⋊C8—34no—
208C2×D3×C3⋊C8—34no—
209#63659—31no—
210#63659—31no—
211#63659—31no—
212#63659—34no—
213#63659—64no—
214#63659C2×D311yescharacteristic, complemented
215#63636—31no—
216#63636—31no—
217#63636—31no—
218#63636—34no—
219#63636—64no—
220#63636C2×D311yescharacteristic, complemented
221#63635—31no—
222#63635—31no—
223#63635—31no—
224#63635—34no—
225#63635—64no—
226#63635C2×D311yescharacteristic, complemented
227#63630—31no—
228#63630—31no—
229#63630—31no—
230#63630—34no—
231#63630—64no—
232#63630C2×D311yescharacteristic, complemented
233C3×#832—34no—
234C3×#809—34no—
235C3×#808—34no—
236C3×#803—34no—
237#63574—34no—
238#63573—34no—
239#63564—34no—
240#63563—34no—
241#63562—34no—
242#63562—34no—
243#63554—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×C4—42no—
260C2×C33×C4C2×D411yescharacteristic
261C2×C33×C4C2×D411yescharacteristic
262C2×C33×C4C2411yescharacteristic
263C2×C3⋊(C3⋊Dic3)—21no—
264C4⋊(C3⋊(C3⋊D3))—21no—
265C4⋊(C3⋊(C3⋊D3))C22×C412yescomplemented
266C4×C3⋊(C3⋊D3)—42no—
267C2×C3×C3⋊Dic3—21no—
268C3×C4⋊(C3⋊D3)—21no—
269C3×C4⋊(C3⋊D3)C22×C412yescomplemented
270C3×C4×C3⋊D3—42no—
271C32×#67—24no—
272C2×C32×Dic3—21no—
273C2×C32×Dic3—42no—
274C2×C32×Dic3C2×D411yescharacteristic
275C2×C32×Dic3C2×D411yescharacteristic
276C2×C32×Dic3C2×D411yescharacteristic
277C32×D12—21no—
278C32×D12C22×C412yescomplemented
279C32×C4×D3—22no—
280C32×C4×D3—22no—
281C32×C4×D3—42no—
282C32×C4×D3—42no—
283C32×C4×D3—42no—
284C32×C4×D3C22×C412yes—
285C32×C4×D3#4112yes—
286#6292—24no—
287#6289—42no—
288Dic3×C3⋊D3—42no—
289D3×C3⋊Dic3—42no—
290C3⋊(C3⋊(C3⋊C8))—21no—
291C3⋊(C3⋊(C3⋊C8))C22×C412yescomplemented
292C3×C3⋊(C3⋊C8)—21no—
293C3×C3⋊(C3⋊C8)C22×C412yescomplemented
294C2×C3×C4×D4—34no—
295C22×#213—94no—
296C2×D3×D8—91no—
297C4×D3×D4—91no—
298C4×D3×D4C3⋊D311yescharacteristic, complemented
299C2×C4×D12—94no—
300C3×#442—91no—
301C2×#832—94no—
302#5152—91no—
303#5014—34no—
304#5014—94no—
305#5014—94no—
306#5014—94no—
307#5014—94no—
308#5014—94no—
309#5014—94no—
310#5014—94no—
311#5014—91no—
312#5014—91no—
313#5014—184no—
314C2×#809—94no—
315C2×#808—94no—
316C2×#803—94no—
317#4869—91no—
318D3×#106—91no—
319#4785—91no—
320#4785—91no—
321D3×#102—91no—
322D3×#102—91no—
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—21no—
337C22×C32×C4—24no—
338C22×C32×C4—31no—
339C22×C32×C4—31no—
340C22×C32×C4—31no—
341C22×C32×C4—44no—
342C22×C32×C4—61no—
343C22×C32×C4—61no—
344C22×C32×C4—61no—
345C22×C32×C4—61no—
346C22×C32×C4—124no—
347C22×C3⋊Dic3—61no—
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—61no—
358C2×C4×C3⋊D3—61no—
359C2×C4×C3⋊D3—64no—
360C2×C4×C3⋊D3—124no—
361C2×C4×C3⋊D3—124no—
362C2×C3×#67—24no—
363C22×C3×Dic3—24no—
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—24no—
370C2×C3×C4×D3—24no—
371C2×C3×C4×D3—416no—
372C2×C3×C4×D3—64no—
373C2×C3×C4×D3#6714yes—
374C2×C3×C4×D3#6714yes—
375C2×C3×C4×D3C22×D314yes—
376C2×#626—64no—
377C2×#624—64no—
378C2×D3×Dic3—64no—
379C2×D3×Dic3—64no—
380D3×D12—316no—
381D3×D12—68no—
382C4×D32—1216no—
383C32×C4⋊C4—24no—
384C32×C4⋊C4—31no—
385C32×C4⋊C4—61no—
386C32×C4⋊C4C22×D314yes—
387C32×C4⋊C4C22×D311yescharacteristic
388C32×C22⋊C4—21no—
389C32×C22⋊C4—24no—
390C32×C22⋊C4—44no—
391C32×C22⋊C4—61no—
392C32×C22⋊C4—61no—
393C32×C22⋊C4—61no—
394C32×C42—24no—
395C32×C42—31no—
396C32×C42—31no—
397C32×C42—31no—
398C32×C42C22×D311yescharacteristic
399C32×C42C22×D314yes—
400#3753—34no—
401#3753—316no—
402#3753—34no—
403#3753—34no—
404#3753—616no—
405#3753C4×D314yescomplemented
406#3752—21no—
407#3752—61no—
408#3752—61no—
409#3752—61no—
410#3752—64no—
411#3752—124no—
412C4⋊(C3⋊Dic3)—31no—
413C4⋊(C3⋊Dic3)—34no—
414C4⋊(C3⋊Dic3)—61no—
415C4⋊(C3⋊Dic3)—64no—
416C4⋊(C3⋊Dic3)C22×D311yescharacteristic
417C2×C3⋊(C3⋊C8)—31no—
418C2×C3⋊(C3⋊C8)—34no—
419C2×C3⋊(C3⋊C8)—34no—
420C2×C3⋊(C3⋊C8)—31no—
421C2×C3⋊(C3⋊C8)—34no—
422C2×C3⋊(C3⋊C8)—62no—
423C2×C3⋊(C3⋊C8)—64no—
424C2×C3⋊(C3⋊C8)—64no—
425C2×C3⋊(C3⋊C8)C22×D311yescharacteristic
426C2×C3⋊(C3⋊C8)C22×D311yescharacteristic
427C3×#217—24no—
428C3×#213—316no—
429C3×(C2×D3)⋊C4—24no—
430C3×(C2×D3)⋊C4—24no—
431C3×(C2×D3)⋊C4—64no—
432C3×C4⋊Dic3—34no—
433C3×C4⋊Dic3C22×D314yes—
434C3×Dic3⋊C4—24no—
435C3×C4×Dic3#6714yes—
436C3×C4×Dic3#6714yes—
437C3×C4×Dic3C22×D314yes—
438C2×C3×C3⋊C8—34no—
439C2×C3×C3⋊C8—34no—
440Dic3⋊Dic3—64no—
441#3722—64no—
442(C2×D3)⋊Dic3—64no—
443#3714—316no—
444#3713—316no—
445D3×C3⋊C8—316no—
446D3×C3⋊C8—68no—
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—21no—
467C33×C4—21no—
468C33×C4—41no—
469C33×C4C23×C411yescharacteristic
470C33×C4C2×#4111yescharacteristic
471C3⋊(C3⋊Dic3)—41no—
472C3×C3⋊Dic3—41no—
473C32×Dic3—21no—
474C32×Dic3—21no—
475C32×Dic3—41no—
476C32×Dic3C4×D412yes—
477C22×C3×D4—34no—
478C23×C3×C4—64no—
479C2×D3×D4—91no—
480C2×D3×D4C2×C3⋊D311yescharacteristic
481C22×D12—94no—
482C22×C4×D3—21no—
483C22×C4×D3—184no—
484C22×C4×D3—181no—
485C2×C3×D8—91no—
486C3×C4×D4—24no—
487C3×C4×D4—34no—
488C3×C4×D4—34no—
489C3×C4×D4—34no—
490C3×C4×D4—64no—
491C3×C4×D4—64no—
492C3×C4×D4—91no—
493C3×C4×D4D3214yescomplemented
494C3×C4×D4C2×C3⋊D311yescharacteristic, complemented
495C2×C3×C4⋊C4—34no—
496C2×C3×C22⋊C4—64no—
497C2×C3×C42—34no—
498D4×Dic3—91no—
499D4×Dic3C2×C3⋊D311yescharacteristic, complemented
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—21no—
509C4×#67—181no—
510C2×(C2×D3)⋊C4—184no—
511C2×C4⋊Dic3—94no—
512C22×C3⋊C8—94no—
513C22×C3⋊C8—94no—
514D3×D8—98no—
515C2×D24—91no—
516C2×D3×C8—91no—
517C2×D3×C8—91no—
518#893—91no—
519#893C2×C3⋊D311yescharacteristic, complemented
520D3×C4⋊C4—91no—
521D3×C4⋊C4C2×C3⋊D311yescharacteristic
522#67⋊C4—21no—
523#67⋊C4—181no—
524D3×C22⋊C4—21no—
525D3×C22⋊C4—181no—
526C4×D12—34no—
527C4×D12—94no—
528C4×D12—94no—
529C4×D12—94no—
530C4×D12—91no—
531C4×D12—184no—
532C4×D12—184no—
533C4×D12—184no—
534C4×D12C2×C3⋊D311yescharacteristic, complemented
535C42×D3C2×C3⋊D311yescharacteristic
536C3×#106—91no—
537C3×#102—91no—
538C3×#102—91no—
539C3×#97—91no—
540#832—34no—
541#832—94no—
542#832—94no—
543#832—94no—
544#832—91no—
545#832—91no—
546#832—184no—
547#821—91no—
548#821—91no—
549#817—91no—
550#815—91no—
551#815—91no—
552#809—34no—
553#809—94no—
554#809—94no—
555#809—91no—
556#809—94no—
557#809—91no—
558#809—184no—
559#808—34no—
560#808—94no—
561#808—94no—
562#808—94no—
563#808—91no—
564#808—91no—
565#808—184no—
566#803—34no—
567#803—94no—
568#803—94no—
569#803—94no—
570#803—91no—
571#803—184no—
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×D3C2×#6714yes—
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—24no—
609C2×C32×C4—24no—
610C2×C32×C4—31no—
611C2×C32×C4—32no—
612C2×C32×C4—32no—
613C2×C32×C4—31no—
614C2×C32×C4—31no—
615C2×C32×C4—44no—
616C2×C32×C4—42no—
617C2×C32×C4—48no—
618C2×C32×C4—62no—
619C2×C32×C4—62no—
620C2×C32×C4—61no—
621C2×C32×C4—88no—
622C2×C32×C4—122no—
623C2×C32×C4—122no—
624C2×C32×C4—122no—
625C2×C32×C4—122no—
626C2×C32×C4D3×D411yescharacteristic
627C2×C32×C4D3×D411yescharacteristic
628C2×C32×C4C2×#6714yes—
629C2×C32×C4C2×#6714yes—
630C2×C32×C4C23×D314yes—
631C2×C32×C4C23×D311yescharacteristic
632C2×C3⋊Dic3—21no—
633C2×C3⋊Dic3—61no—
634C2×C3⋊Dic3—64no—
635C2×C3⋊Dic3—124no—
636C2×C3⋊Dic3—122no—
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—48no—
655C2×C3×Dic3—64no—
656C2×C3×Dic3C2×#6714yes—
657C2×C3×Dic3C2×#6714yes—
658C2×C3×Dic3C2×#6714yes—
659C3×D12—24no—
660C3×D12—38no—
661C3×D12—64no—
662C3×D12C2×C4×D318yescomplemented
663C3×C4×D3—28no—
664C3×C4×D3—28no—
665C3×C4×D3—48no—
666C3×C4×D3—48no—
667C3×C4×D3—48no—
668C3×C4×D3—128no—
669C3×C4×D3C2×C4×D318yes—
670C3×C4×D3#23518yes—
671#626—616no—
672#624—128no—
673D3×Dic3—128no—
674D3×Dic3—128no—
675C3⋊(C3⋊C8)—21no—
676C3⋊(C3⋊C8)—32no—
677C3⋊(C3⋊C8)—38no—
678C3⋊(C3⋊C8)—68no—
679C3⋊(C3⋊C8)—61no—
680C3⋊(C3⋊C8)—64no—
681C3⋊(C3⋊C8)—124no—
682C3⋊(C3⋊C8)C2×C4×D312yescomplemented
683C3×C3⋊C8—38no—
684C3×C3⋊C8—64no—
685C22×D8—271no—
686C2×C4×D4—31no—
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—271no—
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—24no—
721C22×C3×C4—21no—
722C22×C3×C4—34no—
723C22×C3×C4—34no—
724C22×C3×C4—34no—
725C22×C3×C4—44no—
726C22×C3×C4—64no—
727C22×C3×C4—64no—
728C22×C3×C4—64no—
729C22×C3×C4—64no—
730C22×C3×C4—1216no—
731C22×C3×C4—181no—
732C2×#67—21no—
733C2×#67—181no—
734C22×Dic3—21no—
735C22×Dic3—184no—
736C22×Dic3—181no—
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—21no—
751C2×C4×D3—21no—
752C2×C4×D3—44no—
753C2×C4×D3—64no—
754C2×C4×D3—184no—
755C2×C4×D3—184no—
756C2×C4×D3—181no—
757C2×C4×D3—184no—
758C2×C4×D3—181no—
759C2×C4×D3—181no—
760C2×C4×D3—364no—
761C2×C4×D3—364no—
762C2×C4×D3—3616no—
763C2×C4×D3#63811yescharacteristic
764C2×C4×D3#63811yescharacteristic
765C2×C4×D3C22×C3⋊D311yescharacteristic
766C3×D8—94no—
767C2×C3×C8—91no—
768C2×C3×C8—91no—
769C3×C4⋊C4—24no—
770C3×C4⋊C4—34no—
771C3×C4⋊C4—64no—
772C3×C4⋊C4—91no—
773C3×C4⋊C4C2×D3214yes—
774C3×C4⋊C4C22×C3⋊D311yescharacteristic
775C3×C22⋊C4—24no—
776C3×C22⋊C4—21no—
777C3×C22⋊C4—44no—
778C3×C22⋊C4—64no—
779C3×C22⋊C4—64no—
780C3×C22⋊C4—64no—
781C3×C22⋊C4—181no—
782C3×C42—24no—
783C3×C42—34no—
784C3×C42—34no—
785C3×C42—34no—
786C3×C42C2×D3214yes—
787C3×C42C22×C3⋊D311yescharacteristic
788#217—21no—
789#217—181no—
790#213—316no—
791#213—916no—
792#213—916no—
793#213—916no—
794#213—94no—
795#213—94no—
796#213—1816no—
797(C2×D3)⋊C4—21no—
798(C2×D3)⋊C4—21no—
799(C2×D3)⋊C4—64no—
800(C2×D3)⋊C4—184no—
801(C2×D3)⋊C4—184no—
802(C2×D3)⋊C4—184no—
803(C2×D3)⋊C4—181no—
804(C2×D3)⋊C4—181no—
805(C2×D3)⋊C4—364no—
806C4⋊Dic3—34no—
807C4⋊Dic3—94no—
808C4⋊Dic3—91no—
809C4⋊Dic3—184no—
810C4⋊Dic3—184no—
811C4⋊Dic3C22×C3⋊D311yescharacteristic
812Dic3⋊C4—21no—
813Dic3⋊C4—181no—
814C4×Dic3#63811yescharacteristic
815C4×Dic3#63811yescharacteristic
816C4×Dic3C22×C3⋊D311yescharacteristic
817C2×C3⋊C8—34no—
818C2×C3⋊C8—34no—
819C2×C3⋊C8—916no—
820C2×C3⋊C8—94no—
821C2×C3⋊C8—91no—
822C2×C3⋊C8—94no—
823C2×C3⋊C8—91no—
824C2×C3⋊C8—184no—
825C2×C3⋊C8—184no—
826C2×C3⋊C8—188no—
827D24—94no—
828D3×C8—94no—
829D3×C8—182no—
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×D411yescharacteristic
848C22×C32C22×#6714yes—
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×D3C4×#6718yes—
870C2×C3×D3#93218yes—
871C2×C3×D3#94918yes—
872D32—1232no—
873C32×C4—21no—
874C32×C4—21no—
875C32×C4—24no—
876C32×C4—24no—
877C32×C4—24no—
878C32×C4—24no—
879C32×C4—32no—
880C32×C4—44no—
881C32×C4—44no—
882C32×C4—41no—
883C32×C4—44no—
884C32×C4—61no—
885C32×C4—61no—
886C32×C4—84no—
887C32×C4—121no—
888C32×C4C22×C4×D314yes—
889C32×C4C22×C4×D311yescharacteristic
890C32×C4C2×#23514yes—
891C32×C4D3×#4111yescharacteristic
892C3⋊Dic3—41no—
893C3⋊Dic3—121no—
894C3⋊Dic3—124no—
895C3⋊Dic3—244no—
896C3×Dic3—24no—
897C3×Dic3—24no—
898C3×Dic3—44no—
899C3×Dic3—124no—
900C3×Dic3C4×#6718yes—
901C22×D4—31no—
902C22×D4—271no—
903C23×C4—61no—
904C23×C4—541no—
905C2×D8—91no—
906C2×D8—271no—
907C2×D8—278no—
908C2×D8—271no—
909C2×D8—271no—
910C22×C8—271no—
911C22×C8—271no—
912C4×D4—31no—
913C4×D4—31no—
914C4×D4—31no—
915C4×D4—61no—
916C4×D4—61no—
917C4×D4—91no—
918C4×D4—271no—
919C4×D4—271no—
920C4×D4—271no—
921C4×D4—541no—
922C4×D4—541no—
923C4×D4D3×C3⋊D311yescharacteristic, complemented
924C2×C4⋊C4—31no—
925C2×C4⋊C4—271no—
926C2×C22⋊C4—61no—
927C2×C22⋊C4—541no—
928C2×C42—31no—
929#106—91no—
930#106—271no—
931#106—271no—
932#106—271no—
933#102—91no—
934#102—91no—
935#102—271no—
936#102—271no—
937#102—271no—
938#102—271no—
939#102—271no—
940#102—271no—
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×D3C2×#63811yescharacteristic
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—24no—
985C2×C3×C4—24no—
986C2×C3×C4—34no—
987C2×C3×C4—38no—
988C2×C3×C4—38no—
989C2×C3×C4—34no—
990C2×C3×C4—34no—
991C2×C3×C4—44no—
992C2×C3×C4—42no—
993C2×C3×C4—48no—
994C2×C3×C4—68no—
995C2×C3×C4—68no—
996C2×C3×C4—64no—
997C2×C3×C4—88no—
998C2×C3×C4—128no—
999C2×C3×C4—128no—
1000C2×C3×C4—128no—
1001C2×C3×C4—128no—
1002C2×C3×C4—181no—
1003C2×C3×C4—362no—
1004C2×C3×C4D3×#6714yes—
1005C2×C3×C4D3×#6714yes—
1006C2×C3×C4C2×#63811yescharacteristic
1007C2×C3×C4C2×#63811yescharacteristic
1008C2×C3×C4C22×D3214yes—
1009C2×C3×C4C23×C3⋊D311yescharacteristic
1010#67—24no—
1011#67—184no—
1012C2×Dic3—21no—
1013C2×Dic3—42no—
1014C2×Dic3—64no—
1015C2×Dic3—184no—
1016C2×Dic3—181no—
1017C2×Dic3—364no—
1018C2×Dic3—362no—
1019C2×Dic3—368no—
1020C2×Dic3C2×#63811yescharacteristic
1021C2×Dic3C2×#63811yescharacteristic
1022C2×Dic3C2×#63811yescharacteristic
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—22no—
1035C4×D3—22no—
1036C4×D3—42no—
1037C4×D3—42no—
1038C4×D3—42no—
1039C4×D3—128no—
1040C4×D3—362no—
1041C4×D3—368no—
1042C4×D3—362no—
1043C4×D3—368no—
1044C4×D3—368no—
1045C4×D3—362no—
1046C4×D3—728no—
1047C4×D3C2×C4×C3⋊D312yes—
1048C4×D3#382812yes—
1049C3×C8—92no—
1050C3×C8—181no—
1051C3⋊C8—38no—
1052C3⋊C8—64no—
1053C3⋊C8—98no—
1054C3⋊C8—92no—
1055C3⋊C8—188no—
1056C3⋊C8—184no—
1057C3⋊C8—181no—
1058C3⋊C8—364no—
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×C32C4×D3×D411yescharacteristic
1068C2×C32D3×AGL(1,ℤ/8)11yescharacteristic
1069C2×C32D3×AGL(1,ℤ/8)11yescharacteristic
1070C2×C32C2×C4×#6714yes—
1071C2×C32C2×#93214yes—
1072C2×C32C2×#94914yes—
1073C3⋊D3—42no—
1074C3⋊D3—122no—
1075C3⋊D3—128no—
1076C3⋊D3—248no—
1077C3×D3—48no—
1078C3×D3—128no—
1079C3×D3#5014116yescomplemented
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—21no—
1093C22×C4—31no—
1094C22×C4—31no—
1095C22×C4—31no—
1096C22×C4—61no—
1097C22×C4—61no—
1098C22×C4—61no—
1099C22×C4—61no—
1100C22×C4—124no—
1101C22×C4—181no—
1102C22×C4—541no—
1103C22×C4—541no—
1104C22×C4—541no—
1105C22×C4—541no—
1106C22×C4—1084no—
1107D8—94no—
1108D8—274no—
1109D8—274no—
1110D8—274no—
1111C2×C8—91no—
1112C2×C8—91no—
1113C2×C8—274no—
1114C2×C8—271no—
1115C2×C8—271no—
1116C2×C8—542no—
1117C4⋊C4—31no—
1118C4⋊C4—61no—
1119C4⋊C4—91no—
1120C4⋊C4—271no—
1121C4⋊C4—541no—
1122C4⋊C4C2×D3×C3⋊D311yescharacteristic
1123C22⋊C4—21no—
1124C22⋊C4—61no—
1125C22⋊C4—61no—
1126C22⋊C4—61no—
1127C22⋊C4—181no—
1128C22⋊C4—541no—
1129C22⋊C4—541no—
1130C22⋊C4—541no—
1131C42—31no—
1132C42—31no—
1133C42—31no—
1134C42C2×D3×C3⋊D311yescharacteristic
1135C22×C3—22no—
1136C22×C3—28no—
1137C22×C3—24no—
1138C22×C3—38no—
1139C22×C3—38no—
1140C22×C3—38no—
1141C22×C3—48no—
1142C22×C3—44no—
1143C22×C3—44no—
1144C22×C3—41no—
1145C22×C3—41no—
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×C3C2×D3×#6714yes—
1156C22×C3C22×#63811yescharacteristic
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—364no—
1169C2×D3—364no—
1170C2×D3—361no—
1171C2×D3—361no—
1172C2×D3—368no—
1173C2×D3—724no—
1174C2×D3—724no—
1175C2×D3C4×#63812yes—
1176C2×D3#6414112yes—
1177C2×D3#6415812yes—
1178C3×C4—24no—
1179C3×C4—24no—
1180C3×C4—21no—
1181C3×C4—21no—
1182C3×C4—24no—
1183C3×C4—24no—
1184C3×C4—38no—
1185C3×C4—44no—
1186C3×C4—44no—
1187C3×C4—44no—
1188C3×C4—41no—
1189C3×C4—64no—
1190C3×C4—64no—
1191C3×C4—84no—
1192C3×C4—124no—
1193C3×C4—361no—
1194C3×C4C2×C4×D3214yes—
1195C3×C4D3×#23514yes—
1196C3×C4C22×C4×C3⋊D311yescharacteristic
1197C3×C4C2×#382811yescharacteristic
1198Dic3—21no—
1199Dic3—21no—
1200Dic3—41no—
1201Dic3—124no—
1202Dic3—364no—
1203Dic3—361no—
1204Dic3—724no—
1205Dic3C4×#63812yes—
1206C32—24no—
1207C32D3×#44211yescharacteristic, complemented
1208C32C2×#501414yescomplemented
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—31no—
1235C2×C4—31no—
1236C2×C4—42no—
1237C2×C4—62no—
1238C2×C4—62no—
1239C2×C4—61no—
1240C2×C4—122no—
1241C2×C4—122no—
1242C2×C4—122no—
1243C2×C4—122no—
1244C2×C4—181no—
1245C2×C4—362no—
1246C2×C4—541no—
1247C2×C4—1082no—
1248C2×C4—1082no—
1249C2×C4—1082no—
1250C2×C4—1082no—
1251C2×C4D3×#63811yescharacteristic
1252C2×C4D3×#63811yescharacteristic
1253C2×C4C22×D3×C3⋊D311yescharacteristic
1254C8—92no—
1255C8—181no—
1256C8—272no—
1257C8—541no—
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×C3C4×D3×#6714yes—
1268C2×C3D3×#93214yes—
1269C2×C3D3×#94914yes—
1270C2×C3C2×C4×#63811yescharacteristic
1271C2×C3C2×#6414111yescharacteristic
1272C2×C3C2×#6415811yescharacteristic
1273D3—42no—
1274D3—128no—
1275D3—362no—
1276D3—368no—
1277D3—728no—
1278D3#1059271314yesdirect 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—
1296C22C2×D3×#63811yescharacteristic
1297C4—21no—
1298C4—21no—
1299C4—32no—
1300C4—41no—
1301C4—61no—
1302C4—61no—
1303C4—121no—
1304C4—361no—
1305C4—1081no—
1306C4C2×C4×D3×C3⋊D311yescharacteristic
1307C4D3×#382811yescharacteristic
1308C3—24no—
1309C3C2×#1059271311yescharacteristic, complemented
1310C3D3×#501414yescomplemented
1311C2—34no—
1312C2—42no—
1313C2—122no—
1314C2—362no—
1315C2—1082no—
1316C2C4×D3×#63811yescharacteristic
1317C2D3×#6414111yescharacteristic
1318C2D3×#6415811yescharacteristic
subgroupG/H
centerC22C2×D3×#638
commutatorC33×C4C23×C4
FrattiniC2×C4C22×D3×C3⋊D3
FittingC33×C4×D4C22
socleC22×C33C22×D4
prime radicalC2×D3×#3753C2
cosocleC2×C33×C4C24
hypercenterC4×D4D3×C3⋊D3
hypocenterC33C2×#442
LCSG ▷ C33×C4 ▷ C2×C33 ▷ C33
UCSC1 ◁ C22 ◁ C42 ◁ C4×D4

Complements

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

NH ≅ G/Ntype
1. C32×C4×D3×D4C2semidirect
3. C4×D3×C4⋊(C3⋊D3)C2semidirect
4. #13163654C2semidirect
5. C3×#10592713C2semidirect
6. #13160918C2semidirect
7. #13160917C2semidirect
8. D3×#63659C2semidirect
9. D3×#63636C2semidirect
10. #13159364C2semidirect
11. #13159358C2semidirect
12. D3×#63635C2semidirect
13. #13158957C2semidirect
14. #13158953C2semidirect
15. D3×#63630C2semidirect
22. C33×C4×D4C22semidirect
24. C4×C4⋊(C3⋊(C3⋊D3))C22semidirect
26. C3×C4×C4⋊(C3⋊D3)C22semidirect
27. C32×D4×Dic3C22semidirect
29. C32×#893C22semidirect
33. C32×C4×D12C22semidirect
35. D3×#3753C4semidirect
38. #11723484C22semidirect
39. Dic3×C4⋊(C3⋊D3)C22semidirect
46. #11722202C22semidirect
47. #11722179C22semidirect
48. #11722178C22semidirect
49. #11722173C22semidirect
50. C3×#63659C22semidirect
51. C3×#63636C22semidirect
52. C3×#63635C22semidirect
53. C3×#63630C22semidirect
54. #11722054C22semidirect
55. #11722053C22semidirect
56. #11722035C22semidirect
57. #11722033C22semidirect
58. #11722032C22semidirect
59. #11722031C22semidirect
60. #11722019C22semidirect
61. #11722019C22semidirect
65. C3×C4×D3×D4D3semidirect
78. #10592713D3direct (N × H)
104. C32×D3×D4C2×C4semidirect
118. D3×C4⋊(C3⋊D3)C2×C4semidirect
123. #88860C2×C4semidirect
128. C3×#3753C2×C4semidirect
144. #88790C2×C4semidirect
145. #88789C2×C4semidirect
147. D3×C3⋊(C3⋊C8)C2×C4semidirect
164. C32×C4×D4C2×D3semidirect
165. C32×C4×D4C2×D3semidirect
187. C4×C4⋊(C3⋊D3)C2×D3semidirect
188. C3×D4×Dic3C2×D3semidirect
191. C3×#893C2×D3semidirect
196. C3×C4×D12C2×D3semidirect
214. #63659C2×D3semidirect
220. #63636C2×D3semidirect
226. #63635C2×D3semidirect
232. #63630C2×D3semidirect
257. C33×D4C22×C4semidirect
265. C4⋊(C3⋊(C3⋊D3))C22×C4semidirect
269. C3×C4⋊(C3⋊D3)C22×C4semidirect
278. C32×D12C22×C4semidirect
291. C3⋊(C3⋊(C3⋊C8))C22×C4semidirect
293. C3×C3⋊(C3⋊C8)C22×C4semidirect
298. C4×D3×D4C3⋊D3semidirect
365. C3×D3×D4C4×D3semidirect
405. #3753C4×D3semidirect
493. C3×C4×D4D32semidirect
494. C3×C4×D4C2×C3⋊D3semidirect
499. D4×Dic3C2×C3⋊D3semidirect
519. #893C2×C3⋊D3semidirect
534. C4×D12C2×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
923. C4×D4D3×C3⋊D3semidirect
945. C33C2×#442semidirect
979. C3×D4C4×D32semidirect
980. C3×D4C2×C4×C3⋊D3semidirect
1033. D12C2×C4×C3⋊D3semidirect
1079. C3×D3#5014semidirect
1207. C32D3×#442semidirect
1208. C32C2×#5014semidirect
1229. D4C4×D3×C3⋊D3semidirect
1278. D3#10592713direct (N × H)
1309. C3C2×#10592713semidirect
1310. C3D3×#5014semidirect

Maximal subgroups

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

subgroupindex
C32×C4×D3×D42
C2×D3×#37532
C4×D3×C4⋊(C3⋊D3)2
#131636542
C3×#105927132
#131609182
#131609172
D3×#636592
D3×#636362
#131593642
#131593582
D3×#636352
#131589572
#131589532
D3×#636302
D3×#50143
C2×#105927133