Finite Group Databasebeta

← D3×#63879 #13170810

Subgroups — D3×#63879 #13170810

Order 1728.

2010 conjugacy classes of subgroups.

The subgroup lattice has 1266 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C3×C4×D32C211yesmaximal, characteristic, complemented
2C2×D3×#625C211yesmaximal, characteristic
3C2×D32×Dic3C211yesmaximal, characteristic, complemented
4#11723684C211yesmaximal, characteristic, complemented
5#11723507C211yesmaximal, characteristic, complemented
6#11723506C211yesmaximal, characteristic, complemented
7D3×#3750C211yesmaximal, characteristic, complemented
8C3×D3×(C2×D3)⋊C4C211yesmaximal, characteristic, complemented
9C3×#63879C211yesmaximal, characteristic, complemented
10#11722936C211yesmaximal, characteristic, complemented
11#11722934C211yesmaximal, characteristic, complemented
12#11722930C211yesmaximal, characteristic, complemented
13#11722924C211yesmaximal, characteristic, complemented
14D3×(C2×D3)⋊Dic3C211yesmaximal, characteristic, complemented
15D3×Dic32C211yesmaximal, characteristic, complemented
16C4×D3×#67—31nomaximal
17C2×#63879—31nomaximal
18D3×#67⋊C4—31nomaximal
19C22×C3×D32C2211yescharacteristic
20C22×C3×D32C2211yescharacteristic
21C2×C3×C4×C3⋊D3C2211yescharacteristic, complemented
22C2×C32×C4×D3C2211yescharacteristic
23C2×C32×C4×D3C2211yescharacteristic, complemented
24C2×#6295C2211yescharacteristic
25C2×#6294C2211yescharacteristic, complemented
26C2×#6290C2211yescharacteristic
27C2×#6290C2211yescharacteristic
28C2×Dic3×C3⋊D3C2211yescharacteristic, complemented
29C2×D3×C3⋊Dic3C2211yescharacteristic
30C2×D3×C3⋊Dic3C2211yescharacteristic
31C2×D3×C3⋊Dic3C2211yescharacteristic, complemented
32C2×C3×#625C2211yescharacteristic
33C2×C3×#624C2211yescharacteristic, complemented
34C2×C3×D3×Dic3C2211yescharacteristic
35C2×C3×D3×Dic3C2211yescharacteristic
36C2×C3×D3×Dic3C2211yescharacteristic, complemented
37C2×C3×D3×Dic3C2211yescharacteristic, complemented
38C3×C4×D32—24no—
39D3×#625C418yescomplemented
40D32×Dic3—24no—
41#88857C2211yescharacteristic, complemented
42C3×#3752C2211yescharacteristic, complemented
43C3×#3750C2211yescharacteristic, complemented
44C32×(C2×D3)⋊C4C2211yescharacteristic, complemented
45#88814C2211yescharacteristic, complemented
46#88813C2211yescharacteristic, complemented
47#88807C2211yescharacteristic, complemented
48#88806C2211yescharacteristic, complemented
49#88803C2211yescharacteristic, complemented
50(C2×D3)⋊(C3⋊Dic3)C2211yescharacteristic, complemented
51Dic3×C3⋊Dic3C2211yescharacteristic, complemented
52Dic3×C3⋊Dic3C2211yescharacteristic, complemented
53C3×#3722C2211yescharacteristic, complemented
54C3×(C2×D3)⋊Dic3C2211yescharacteristic, complemented
55C3×(C2×D3)⋊Dic3C2211yescharacteristic, complemented
56C3×Dic32C2211yescharacteristic, complemented
57C22×C3×C4×D3—31no—
58C22×C3×C4×D3—31no—
59C2×D3×#67—31no—
60C2×D3×#67—31no—
61C22×#625—31no—
62C22×D3×Dic3—31no—
63C22×D3×Dic3—31no—
64C2×C4×D32—31no—
65C2×C4×D32D311yescharacteristic, complemented
66C4×#638—31no—
67C2×#3750—31no—
68#64090—31no—
69C3×C4×#67—31no—
70C2×C3×(C2×D3)⋊C4—31no—
71C3×#67⋊C4—31no—
72C3×D3×C22⋊C4—31no—
73#67⋊Dic3—31no—
74Dic3×#67—31no—
75D3×#217—31no—
76C2×(C2×D3)⋊Dic3—31no—
77C2×Dic32—31no—
78#63952—31no—
79#63952—31no—
80D3×(C2×D3)⋊C4—31no—
81D3×(C2×D3)⋊C4D311yescharacteristic, complemented
82#63904—31no—
83C4×#626—31no—
84#63902—31no—
85C4×#625—31no—
86#63881—31no—
87#63880—31no—
88#63879—31no—
89#63879—31no—
90#63879—31no—
91#63879—31no—
92#63879—31no—
93#63879—31no—
94#63879—31no—
95#63879—31no—
96#63879—31no—
97#63879—61no—
98#63879—61no—
99#63879D311yescharacteristic, direct product factor
100D3×Dic3⋊C4—31no—
101D3×Dic3⋊C4—31no—
102D3×Dic3⋊C4—61no—
103C4×D3×Dic3—31no—
104C4×D3×Dic3—31no—
105C22×C3×C3⋊D3C2311yescharacteristic
106C22×C3×C3⋊D3C2311yescharacteristic
107C22×C32×D3C2311yescharacteristic
108C22×C32×D3C2311yescharacteristic
109C22×C32×D3C2311yescharacteristic
110C2×C3×D32—22no—
111C2×C3×D32—22no—
112C2×C3×D32—22no—
113C2×C3×D32—22no—
114C2×C3×D32C2×C414yescomplemented
115C2×C3×D32C2×C414yescomplemented
116C2×C33×C4C2311yescharacteristic
117C2×C3⋊(C3⋊Dic3)C2311yescharacteristic
118C2×C3⋊(C3⋊Dic3)C2311yescharacteristic
119C2×C3×C3⋊Dic3C2311yescharacteristic
120C2×C3×C3⋊Dic3C2311yescharacteristic
121C2×C3×C3⋊Dic3C2311yescharacteristic
122C2×C3×C3⋊Dic3C2311yescharacteristic
123C3×C4×C3⋊D3—22no—
124C2×C32×Dic3C2311yescharacteristic
125C2×C32×Dic3C2311yescharacteristic
126C2×C32×Dic3C2311yescharacteristic
127C32×C4×D3—22no—
128C32×C4×D3—22no—
129#6295C2×C414yescomplemented
130#6294—22no—
131#6290C2×C414yescomplemented
132#6290C2×C414yescomplemented
133Dic3×C3⋊D3—22no—
134D3×C3⋊Dic3—22no—
135D3×C3⋊Dic3—22no—
136D3×C3⋊Dic3C2×C414yescomplemented
137C3×#625C2×C414yescomplemented
138C3×#624—22no—
139C3×D3×Dic3—22no—
140C3×D3×Dic3—22no—
141C3×D3×Dic3—22no—
142C3×D3×Dic3D414yescomplemented
143C2×C4×#67—91no—
144C4×D3×D4—91no—
145C2×#67⋊C4—91no—
146C23×C3×D3—31no—
147C23×C3×D3—31no—
148C23×C3×D3—31no—
149C23×C3×D3—31no—
150C22×D32C2×D311yescharacteristic
151C22×D32C2×D311yescharacteristic
152C22×C32×C4—31no—
153C22×C32×C4—31no—
154C2×#638—31no—
155C2×#638—31no—
156C22×C3⋊Dic3—31no—
157C22×C3⋊Dic3—31no—
158C22×C3⋊Dic3—31no—
159C2×C4×C3⋊D3—31no—
160C2×C4×C3⋊D3C2×D311yescharacteristic, complemented
161C2×C3×#67—31no—
162C2×C3×#67—31no—
163C22×C3×Dic3—31no—
164C22×C3×Dic3—31no—
165C22×C3×Dic3—31no—
166C22×C3×Dic3—31no—
167C2×C3×C4×D3—21no—
168C2×C3×C4×D3—21no—
169C2×C3×C4×D3—31no—
170C2×C3×C4×D3—31no—
171C2×C3×C4×D3—31no—
172C2×C3×C4×D3—31no—
173C2×C3×C4×D3—31no—
174C2×C3×C4×D3—31no—
175C2×C3×C4×D3—31no—
176C2×C3×C4×D3—31no—
177C2×C3×C4×D3—64no—
178C2×C3×C4×D3—64no—
179C2×C3×C4×D3—61no—
180C2×C3×C4×D3C2×D311yescharacteristic
181C2×C3×C4×D3C2×D311yescharacteristic
182C2×C3×C4×D3C2×D311yescharacteristic, complemented
183C2×C3×C4×D3C2×D311yescharacteristic, complemented
184D3×#67—38no—
185D3×#67—38no—
186C2×#626—31no—
187C2×#626—31no—
188C2×#625—31no—
189C2×#625—31no—
190C2×#625—31no—
191C2×#625—31no—
192C2×#625—31no—
193C2×#625—38no—
194C2×#625—61no—
195C2×#625—61no—
196C2×#625C2×D311yescharacteristic
197C2×#624—31no—
198C2×#624C2×D311yescharacteristic, complemented
199C2×D3×Dic3—31no—
200C2×D3×Dic3—31no—
201C2×D3×Dic3—31no—
202C2×D3×Dic3—31no—
203C2×D3×Dic3—31no—
204C2×D3×Dic3—31no—
205C2×D3×Dic3—31no—
206C2×D3×Dic3—31no—
207C2×D3×Dic3—31no—
208C2×D3×Dic3—31no—
209C2×D3×Dic3—64no—
210C2×D3×Dic3—61no—
211C2×D3×Dic3—64no—
212C2×D3×Dic3—61no—
213C2×D3×Dic3—61no—
214C2×D3×Dic3—61no—
215C2×D3×Dic3C2×D311yescharacteristic
216C2×D3×Dic3C2×D311yescharacteristic
217C2×D3×Dic3C2×D311yescharacteristic, complemented
218C2×D3×Dic3C2×D311yescharacteristic, complemented
219C4×D32—24no—
220C4×D32—64no—
221C32×C22⋊C4—31no—
222#3757—31no—
223#3752—31no—
224#3752C2×D311yescharacteristic, complemented
225#3750—31no—
226#3750—31no—
227#3750—31no—
228#3750—31no—
229#3750—31no—
230#3750—61no—
231#3750—61no—
232#3750—61no—
233#3750—121no—
234#3750C2×D311yescharacteristic, complemented
235C4×C3⋊Dic3—31no—
236C4×C3⋊Dic3—31no—
237C3×#217—31no—
238C3×#217—31no—
239C3×(C2×D3)⋊C4—21no—
240C3×(C2×D3)⋊C4—31no—
241C3×(C2×D3)⋊C4—31no—
242C3×(C2×D3)⋊C4—31no—
243C3×(C2×D3)⋊C4—31no—
244C3×(C2×D3)⋊C4—31no—
245C3×(C2×D3)⋊C4—31no—
246C3×(C2×D3)⋊C4—61no—
247C3×(C2×D3)⋊C4C2×D311yescharacteristic, complemented
248C3×(C2×D3)⋊C4C2×D311yescharacteristic, complemented
249C3×Dic3⋊C4—31no—
250C3×Dic3⋊C4—31no—
251C3×Dic3⋊C4—61no—
252C3×C4×Dic3—31no—
253C3×C4×Dic3—31no—
254#3724—31no—
255#3724—31no—
256#3724—61no—
257Dic3⋊Dic3—31no—
258Dic3⋊Dic3—31no—
259Dic3⋊Dic3—61no—
260#3722—31no—
261#3722C2×D311yescharacteristic, complemented
262(C2×D3)⋊Dic3—31no—
263(C2×D3)⋊Dic3—31no—
264(C2×D3)⋊Dic3—31no—
265(C2×D3)⋊Dic3—31no—
266(C2×D3)⋊Dic3—31no—
267(C2×D3)⋊Dic3—31no—
268(C2×D3)⋊Dic3—61no—
269(C2×D3)⋊Dic3—61no—
270(C2×D3)⋊Dic3C2×D311yescharacteristic, complemented
271(C2×D3)⋊Dic3C2×D311yescharacteristic, complemented
272Dic32—31no—
273Dic32—31no—
274Dic32—31no—
275Dic32—31no—
276Dic32—31no—
277Dic32—31no—
278Dic32—31no—
279Dic32—61no—
280Dic32—61no—
281Dic32C2×D311yescharacteristic, complemented
282C22×C33C2411yescharacteristic
283C2×C3×C3⋊D3—21no—
284C2×C3×C3⋊D3—21no—
285C2×C3×C3⋊D3—21no—
286C2×C3×C3⋊D3—21no—
287C2×C3×C3⋊D3C22×C412yescomplemented
288C2×C3×C3⋊D3C22×C412yescomplemented
289C2×C32×D3—21no—
290C2×C32×D3—21no—
291C2×C32×D3—21no—
292C2×C32×D3—21no—
293C2×C32×D3C22×C412yes—
294C2×C32×D3C22×C412yescomplemented
295C2×C32×D3C22×C412yescomplemented
296C2×C32×D3C2×D412yes—
297C2×C32×D3#4112yes—
298C3×D32—28no—
299C3×D32—28no—
300C33×C4—21no—
301C3⋊(C3⋊Dic3)—21no—
302C3⋊(C3⋊Dic3)C22×C412yescomplemented
303C3×C3⋊Dic3—21no—
304C3×C3⋊Dic3—21no—
305C3×C3⋊Dic3C22×C412yescomplemented
306C3×C3⋊Dic3C2×D412yescomplemented
307C32×Dic3—21no—
308C32×Dic3—21no—
309C32×Dic3C2×D412yescomplemented
310C23×C3×C4—91no—
311C22×#67—91no—
312C22×#67—91no—
313C23×Dic3—91no—
314C2×D3×D4—91no—
315C22×C4×D3—31no—
316C22×C4×D3—31no—
317C22×C4×D3—91no—
318C22×C4×D3—91no—
319C3×C4×D4—91no—
320C2×C3×C22⋊C4—91no—
321C2×#217—91no—
322D4×Dic3—91no—
323C4×#67—31no—
324C4×#67—91no—
325C4×#67—91no—
326C4×#67—91no—
327C4×#67—91no—
328C4×#67—91no—
329C4×#67—91no—
330C4×#67—91no—
331C4×#67—91no—
332C4×#67—91no—
333C4×#67—181no—
334C2×(C2×D3)⋊C4—31no—
335C2×(C2×D3)⋊C4—91no—
336C2×Dic3⋊C4—91no—
337C2×Dic3⋊C4—91no—
338C2×Dic3⋊C4—181no—
339C2×C4×Dic3—91no—
340C2×C4×Dic3—91no—
341#893—91no—
342D3×C4⋊C4—91no—
343#67⋊C4—31no—
344#67⋊C4—91no—
345#67⋊C4—91no—
346#67⋊C4—91no—
347#67⋊C4—91no—
348#67⋊C4—91no—
349#67⋊C4—91no—
350#67⋊C4—91no—
351#67⋊C4—91no—
352#67⋊C4—91no—
353#67⋊C4—181no—
354D3×C22⋊C4—31no—
355D3×C22⋊C4—91no—
356C4×D12—91no—
357C42×D3—91no—
358C23×C32—31no—
359C23×C32—31no—
360C23×C32—31no—
361C22×C3⋊D3C22×D311yescharacteristic
362C22×C3⋊D3C22×D311yescharacteristic
363C22×C3×D3—21no—
364C22×C3×D3—21no—
365C22×C3×D3—21no—
366C22×C3×D3—31no—
367C22×C3×D3—31no—
368C22×C3×D3—31no—
369C22×C3×D3—31no—
370C22×C3×D3—34no—
371C22×C3×D3—34no—
372C22×C3×D3—34no—
373C22×C3×D3—34no—
374C22×C3×D3—61no—
375C22×C3×D3—61no—
376C22×C3×D3—62no—
377C22×C3×D3—62no—
378C22×C3×D3—62no—
379C22×C3×D3—62no—
380C22×C3×D3—62no—
381C22×C3×D3—62no—
382C22×C3×D3—62no—
383C22×C3×D3—62no—
384C22×C3×D3C22×D311yescharacteristic
385C22×C3×D3C22×D311yescharacteristic
386C22×C3×D3C22×D311yescharacteristic
387C22×C3×D3C22×D311yescharacteristic
388C22×C3×D3C22×D311yescharacteristic
389C22×C3×D3C22×D311yescharacteristic
390C2×D32—22no—
391C2×D32—22no—
392C2×D32—22no—
393C2×D32—22no—
394C2×D32C4×D314yescomplemented
395C2×D32C4×D314yescomplemented
396C2×C32×C4—21no—
397C2×C32×C4—21no—
398C2×C32×C4—21no—
399C2×C32×C4—31no—
400C2×C32×C4—31no—
401C2×C32×C4—31no—
402C2×C32×C4—41no—
403C2×C32×C4—62no—
404C2×C32×C4—62no—
405C2×C32×C4C22×D311yescharacteristic
406C2×C32×C4C22×D311yescharacteristic
407C2×C32×C4C22×D311yescharacteristic
408#638—34no—
409#638—34no—
410C2×C3⋊Dic3—31no—
411C2×C3⋊Dic3—31no—
412C2×C3⋊Dic3—31no—
413C2×C3⋊Dic3—34no—
414C2×C3⋊Dic3—31no—
415C2×C3⋊Dic3—31no—
416C2×C3⋊Dic3—31no—
417C2×C3⋊Dic3—61no—
418C2×C3⋊Dic3—61no—
419C2×C3⋊Dic3—61no—
420C2×C3⋊Dic3—61no—
421C2×C3⋊Dic3—61no—
422C2×C3⋊Dic3—61no—
423C2×C3⋊Dic3—62no—
424C2×C3⋊Dic3—62no—
425C2×C3⋊Dic3—121no—
426C2×C3⋊Dic3—121no—
427C2×C3⋊Dic3C22×D311yescharacteristic
428C2×C3⋊Dic3C22×D311yescharacteristic
429C2×C3⋊Dic3C22×D311yescharacteristic
430C2×C3⋊Dic3C22×D311yescharacteristic
431C4×C3⋊D3—22no—
432C4×C3⋊D3—62no—
433C3×#67—34no—
434C3×#67—34no—
435C2×C3×Dic3—21no—
436C2×C3×Dic3—21no—
437C2×C3×Dic3—21no—
438C2×C3×Dic3—31no—
439C2×C3×Dic3—31no—
440C2×C3×Dic3—31no—
441C2×C3×Dic3—31no—
442C2×C3×Dic3—34no—
443C2×C3×Dic3—31no—
444C2×C3×Dic3—31no—
445C2×C3×Dic3—31no—
446C2×C3×Dic3—31no—
447C2×C3×Dic3—61no—
448C2×C3×Dic3—61no—
449C2×C3×Dic3—61no—
450C2×C3×Dic3—61no—
451C2×C3×Dic3—62no—
452C2×C3×Dic3—62no—
453C2×C3×Dic3—62no—
454C2×C3×Dic3C22×D311yescharacteristic
455C2×C3×Dic3C22×D311yescharacteristic
456C2×C3×Dic3C22×D311yescharacteristic
457C2×C3×Dic3C22×D311yescharacteristic
458C2×C3×Dic3C22×D311yescharacteristic
459C2×C3×Dic3C22×D311yescharacteristic
460C3×C4×D3—22no—
461C3×C4×D3—22no—
462C3×C4×D3—22no—
463C3×C4×D3—22no—
464C3×C4×D3—34no—
465C3×C4×D3—42no—
466C3×C4×D3—42no—
467C3×C4×D3—62no—
468C3×C4×D3—62no—
469C3×C4×D3—62no—
470C3×C4×D3—62no—
471C3×C4×D3—62no—
472C3×C4×D3—62no—
473C3×C4×D3—62no—
474C3×C4×D3—122no—
475#626—34no—
476#626—34no—
477#625—34no—
478#625—34no—
479#625—34no—
480#625—34no—
481#625—34no—
482#625—64no—
483#625—64no—
484#625C4×D314yescomplemented
485#624—22no—
486#624—62no—
487D3×Dic3—22no—
488D3×Dic3—22no—
489D3×Dic3—22no—
490D3×Dic3—34no—
491D3×Dic3—34no—
492D3×Dic3—64no—
493D3×Dic3—62no—
494D3×Dic3—62no—
495D3×Dic3—62no—
496D3×Dic3—62no—
497D3×Dic3—62no—
498D3×Dic3—62no—
499D3×Dic3—62no—
500D3×Dic3—62no—
501D3×Dic3—122no—
502D3×Dic3—122no—
503D3×Dic3—122no—
504D3×Dic3#6714yescomplemented
505C2×C4×D4—271noSylow
506C2×C33C23×C411yescharacteristic
507C2×C33C22×D411yescharacteristic
508C2×C33C2×#4111yescharacteristic
509C3×C3⋊D3—22no—
510C3×C3⋊D3—22no—
511C32×D3—22no—
512C32×D3—22no—
513C32×D3C4×D414yescomplemented
514C24×C3—91no—
515C24×C3—91no—
516C23×D3—31no—
517C23×D3—31no—
518C23×D3—31no—
519C23×D3—31no—
520C2×C3×D4—91no—
521C22×C3×C4—31no—
522C22×C3×C4—31no—
523C22×C3×C4—31no—
524C22×C3×C4—31no—
525C22×C3×C4—61no—
526C22×C3×C4—61no—
527C22×C3×C4—91no—
528C22×C3×C4—91no—
529C22×C3×C4—91no—
530C22×C3×C4—91no—
531C22×C3×C4—91no—
532C22×C3×C4—91no—
533C22×C3×C4—184no—
534C2×#67—31no—
535C2×#67—31no—
536C2×#67—91no—
537C2×#67—91no—
538C2×#67—98no—
539C2×#67—98no—
540C2×#67—91no—
541C2×#67—91no—
542C2×#67—91no—
543C2×#67—91no—
544C2×#67—91no—
545C2×#67—91no—
546C2×#67—181no—
547C2×#67—181no—
548C22×Dic3—31no—
549C22×Dic3—31no—
550C22×Dic3—31no—
551C22×Dic3—31no—
552C22×Dic3—91no—
553C22×Dic3—91no—
554C22×Dic3—91no—
555C22×Dic3—91no—
556C22×Dic3—91no—
557C22×Dic3—91no—
558C22×Dic3—91no—
559C22×Dic3—91no—
560C22×Dic3—181no—
561C22×Dic3—181no—
562C22×Dic3—181no—
563C22×Dic3—184no—
564D3×D4—98no—
565C2×D12—91no—
566C2×C4×D3—31no—
567C2×C4×D3—31no—
568C2×C4×D3—31no—
569C2×C4×D3—31no—
570C2×C4×D3—31no—
571C2×C4×D3—31no—
572C2×C4×D3—31no—
573C2×C4×D3—31no—
574C2×C4×D3—61no—
575C2×C4×D3—64no—
576C2×C4×D3—64no—
577C2×C4×D3—91no—
578C2×C4×D3—91no—
579C2×C4×D3—91no—
580C2×C4×D3—91no—
581C2×C4×D3—91no—
582C2×C4×D3—91no—
583C2×C4×D3—91no—
584C2×C4×D3—181no—
585C2×C4×D3—184no—
586C2×C4×D3—184no—
587C2×C4×D3D3211yescharacteristic
588C2×C4×D3D3211yescharacteristic, complemented
589C3×C4⋊C4—91no—
590C3×C22⋊C4—31no—
591C3×C22⋊C4—31no—
592C3×C22⋊C4—61no—
593C3×C22⋊C4—91no—
594C3×C22⋊C4—91no—
595C3×C22⋊C4—91no—
596C3×C22⋊C4—91no—
597C3×C42—91no—
598#217—31no—
599#217—31no—
600#217—91no—
601#217—91no—
602#217—91no—
603#217—91no—
604#217—181no—
605(C2×D3)⋊C4—31no—
606(C2×D3)⋊C4—31no—
607(C2×D3)⋊C4—31no—
608(C2×D3)⋊C4—31no—
609(C2×D3)⋊C4—31no—
610(C2×D3)⋊C4—31no—
611(C2×D3)⋊C4—61no—
612(C2×D3)⋊C4—91no—
613(C2×D3)⋊C4—91no—
614(C2×D3)⋊C4—91no—
615(C2×D3)⋊C4—91no—
616(C2×D3)⋊C4—91no—
617(C2×D3)⋊C4—181no—
618(C2×D3)⋊C4D3211yescharacteristic, complemented
619C4⋊Dic3—91no—
620Dic3⋊C4—31no—
621Dic3⋊C4—31no—
622Dic3⋊C4—61no—
623Dic3⋊C4—91no—
624Dic3⋊C4—91no—
625Dic3⋊C4—91no—
626Dic3⋊C4—91no—
627Dic3⋊C4—91no—
628Dic3⋊C4—91no—
629Dic3⋊C4—91no—
630Dic3⋊C4—91no—
631Dic3⋊C4—181no—
632Dic3⋊C4—181no—
633Dic3⋊C4—181no—
634Dic3⋊C4—181no—
635Dic3⋊C4—181no—
636Dic3⋊C4—361no—
637C4×Dic3—31no—
638C4×Dic3—31no—
639C4×Dic3—91no—
640C4×Dic3—91no—
641C4×Dic3—91no—
642C4×Dic3—91no—
643C4×Dic3—91no—
644C4×Dic3—91no—
645C4×Dic3—91no—
646C4×Dic3—91no—
647C4×Dic3—91no—
648C4×Dic3—181no—
649C4×Dic3—181no—
650C22×C32—21no—
651C22×C32—21no—
652C22×C32—21no—
653C22×C32—32no—
654C22×C32—32no—
655C22×C32—32no—
656C22×C32—32no—
657C22×C32—32no—
658C22×C32—41no—
659C22×C32—61no—
660C22×C32—61no—
661C22×C32—61no—
662C22×C32—61no—
663C22×C32C23×D311yescharacteristic
664C22×C32C23×D311yescharacteristic
665C22×C32C23×D311yescharacteristic
666C2×C3⋊D3—21no—
667C2×C3⋊D3—21no—
668C2×C3⋊D3—21no—
669C2×C3⋊D3—21no—
670C2×C3⋊D3C2×C4×D312yescomplemented
671C2×C3⋊D3C2×C4×D312yescomplemented
672C2×C3×D3—21no—
673C2×C3×D3—21no—
674C2×C3×D3—21no—
675C2×C3×D3—21no—
676C2×C3×D3—21no—
677C2×C3×D3—21no—
678C2×C3×D3—21no—
679C2×C3×D3—21no—
680C2×C3×D3—22no—
681C2×C3×D3—22no—
682C2×C3×D3—22no—
683C2×C3×D3—22no—
684C2×C3×D3—22no—
685C2×C3×D3—32no—
686C2×C3×D3—32no—
687C2×C3×D3—32no—
688C2×C3×D3—32no—
689C2×C3×D3—41no—
690C2×C3×D3—41no—
691C2×C3×D3—41no—
692C2×C3×D3—41no—
693C2×C3×D3—62no—
694C2×C3×D3—62no—
695C2×C3×D3—68no—
696C2×C3×D3—68no—
697C2×C3×D3—61no—
698C2×C3×D3—61no—
699C2×C3×D3—61no—
700C2×C3×D3—61no—
701C2×C3×D3—61no—
702C2×C3×D3—61no—
703C2×C3×D3—61no—
704C2×C3×D3—61no—
705C2×C3×D3—68no—
706C2×C3×D3—68no—
707C2×C3×D3—121no—
708C2×C3×D3—121no—
709C2×C3×D3—121no—
710C2×C3×D3—121no—
711C2×C3×D3C2×C4×D312yes—
712C2×C3×D3C2×C4×D312yes—
713C2×C3×D3C2×C4×D312yescomplemented
714C2×C3×D3C2×C4×D312yescomplemented
715C2×C3×D3C2×C4×D312yescomplemented
716C2×C3×D3C2×C4×D312yescomplemented
717C2×C3×D3#23512yes—
718C2×C3×D3D3×D412yes—
719C2×C3×D3#23712yes—
720C2×C3×D3C2×#6712yes—
721D32—28no—
722D32—28no—
723C32×C4—21no—
724C32×C4—21no—
725C32×C4—21no—
726C32×C4—32no—
727C32×C4—41no—
728C32×C4—41no—
729C32×C4—41no—
730C32×C4—61no—
731C32×C4—61no—
732C32×C4—81no—
733C3⋊Dic3—21no—
734C3⋊Dic3—21no—
735C3⋊Dic3—32no—
736C3⋊Dic3—32no—
737C3⋊Dic3—32no—
738C3⋊Dic3—62no—
739C3⋊Dic3—62no—
740C3⋊Dic3—62no—
741C3⋊Dic3—61no—
742C3⋊Dic3—61no—
743C3⋊Dic3—61no—
744C3⋊Dic3—122no—
745C3⋊Dic3—121no—
746C3⋊Dic3—121no—
747C3⋊Dic3—121no—
748C3⋊Dic3—241no—
749C3⋊Dic3C2×C4×D312yescomplemented
750C3⋊Dic3C2×#6712yescomplemented
751C3×Dic3—21no—
752C3×Dic3—21no—
753C3×Dic3—21no—
754C3×Dic3—21no—
755C3×Dic3—22no—
756C3×Dic3—32no—
757C3×Dic3—32no—
758C3×Dic3—32no—
759C3×Dic3—32no—
760C3×Dic3—41no—
761C3×Dic3—41no—
762C3×Dic3—62no—
763C3×Dic3—62no—
764C3×Dic3—61no—
765C3×Dic3—61no—
766C3×Dic3—61no—
767C3×Dic3—61no—
768C3×Dic3—121no—
769C3×Dic3—121no—
770C3×Dic3D3×D412yescomplemented
771C3×Dic3C2×#6712yescomplemented
772C22×D4—271no—
773C23×C4—91no—
774C23×C4—271no—
775C4×D4—91no—
776C4×D4—271no—
777C4×D4—271no—
778C4×D4—271no—
779C4×D4—271no—
780C4×D4—271no—
781C4×D4—271no—
782C4×D4—271no—
783C2×C4⋊C4—271no—
784C2×C22⋊C4—91no—
785C2×C22⋊C4—271no—
786C2×C42—271no—
787C33C2×C4×D411yescharacteristic, complemented, Sylow
788C23×C3—31no—
789C23×C3—31no—
790C23×C3—31no—
791C23×C3—31no—
792C23×C3—31no—
793C23×C3—31no—
794C23×C3—61no—
795C23×C3—61no—
796C23×C3—61no—
797C23×C3—94no—
798C23×C3—94no—
799C23×C3—91no—
800C23×C3—91no—
801C23×C3—182no—
802C23×C3—182no—
803C23×C3—182no—
804C23×C3—182no—
805C22×D3—31no—
806C22×D3—31no—
807C22×D3—31no—
808C22×D3—31no—
809C22×D3—34no—
810C22×D3—34no—
811C22×D3—34no—
812C22×D3—34no—
813C22×D3—61no—
814C22×D3—61no—
815C22×D3—62no—
816C22×D3—62no—
817C22×D3—62no—
818C22×D3—62no—
819C22×D3—62no—
820C22×D3—62no—
821C22×D3—62no—
822C22×D3—62no—
823C22×D3C2×D3211yescharacteristic
824C22×D3C2×D3211yescharacteristic
825C22×D3C2×D3211yescharacteristic
826C3×D4—94no—
827C2×C3×C4—21no—
828C2×C3×C4—21no—
829C2×C3×C4—21no—
830C2×C3×C4—31no—
831C2×C3×C4—31no—
832C2×C3×C4—31no—
833C2×C3×C4—31no—
834C2×C3×C4—31no—
835C2×C3×C4—31no—
836C2×C3×C4—41no—
837C2×C3×C4—61no—
838C2×C3×C4—61no—
839C2×C3×C4—61no—
840C2×C3×C4—62no—
841C2×C3×C4—62no—
842C2×C3×C4—62no—
843C2×C3×C4—62no—
844C2×C3×C4—94no—
845C2×C3×C4—91no—
846C2×C3×C4—91no—
847C2×C3×C4—91no—
848C2×C3×C4—91no—
849C2×C3×C4—122no—
850C2×C3×C4—122no—
851C2×C3×C4—182no—
852C2×C3×C4—182no—
853C2×C3×C4—182no—
854C2×C3×C4—182no—
855C2×C3×C4—182no—
856C2×C3×C4C2×D3211yescharacteristic
857C2×C3×C4C2×D3211yescharacteristic
858C2×C3×C4C2×D3211yescharacteristic
859#67—34no—
860#67—34no—
861#67—94no—
862#67—94no—
863#67—94no—
864#67—94no—
865#67—94no—
866#67—94no—
867#67—94no—
868#67—94no—
869#67—184no—
870#67—184no—
871C2×Dic3—31no—
872C2×Dic3—31no—
873C2×Dic3—31no—
874C2×Dic3—31no—
875C2×Dic3—34no—
876C2×Dic3—31no—
877C2×Dic3—31no—
878C2×Dic3—31no—
879C2×Dic3—31no—
880C2×Dic3—61no—
881C2×Dic3—61no—
882C2×Dic3—61no—
883C2×Dic3—61no—
884C2×Dic3—62no—
885C2×Dic3—62no—
886C2×Dic3—62no—
887C2×Dic3—94no—
888C2×Dic3—94no—
889C2×Dic3—91no—
890C2×Dic3—91no—
891C2×Dic3—91no—
892C2×Dic3—91no—
893C2×Dic3—91no—
894C2×Dic3—91no—
895C2×Dic3—184no—
896C2×Dic3—181no—
897C2×Dic3—181no—
898C2×Dic3—181no—
899C2×Dic3—181no—
900C2×Dic3—181no—
901C2×Dic3—181no—
902C2×Dic3—182no—
903C2×Dic3—182no—
904C2×Dic3—182no—
905C2×Dic3—182no—
906C2×Dic3—182no—
907C2×Dic3—182no—
908C2×Dic3—361no—
909C2×Dic3—361no—
910C2×Dic3—362no—
911C2×Dic3—362no—
912C2×Dic3C2×D3211yescharacteristic
913C2×Dic3C2×D3211yescharacteristic
914C2×Dic3C2×D3211yescharacteristic
915D12—94no—
916C4×D3—22no—
917C4×D3—22no—
918C4×D3—34no—
919C4×D3—62no—
920C4×D3—62no—
921C4×D3—62no—
922C4×D3—62no—
923C4×D3—62no—
924C4×D3—62no—
925C4×D3—62no—
926C4×D3—94no—
927C4×D3—122no—
928C4×D3—182no—
929C4×D3—182no—
930C4×D3—182no—
931C4×D3—182no—
932C4×D3—182no—
933C4×D3—182no—
934C4×D3—362no—
935C2×C32—21no—
936C2×C32—21no—
937C2×C32—21no—
938C2×C32—21no—
939C2×C32—21no—
940C2×C32—21no—
941C2×C32—21no—
942C2×C32—21no—
943C2×C32—21no—
944C2×C32—34no—
945C2×C32—41no—
946C2×C32—41no—
947C2×C32—41no—
948C2×C32—62no—
949C2×C32—62no—
950C2×C32C22×C4×D311yescharacteristic
951C2×C32C22×C4×D311yescharacteristic
952C2×C32C22×C4×D311yescharacteristic
953C2×C32C2×#23511yescharacteristic
954C2×C32C2×D3×D411yescharacteristic
955C2×C32C2×D3×D411yescharacteristic
956C2×C32C2×#23711yescharacteristic
957C2×C32D3×#4111yescharacteristic
958C2×C32C22×#6711yescharacteristic
959C3⋊D3—22no—
960C3⋊D3—22no—
961C3×D3—22no—
962C3×D3—22no—
963C3×D3—22no—
964C3×D3—22no—
965C3×D3—24no—
966C3×D3—42no—
967C3×D3—42no—
968C3×D3—62no—
969C3×D3—62no—
970C3×D3—62no—
971C3×D3—62no—
972C3×D3—122no—
973C3×D3—122no—
974C3×D3#67⋊C414yescomplemented
975C3×D3C4×#6714yescomplemented
976C24—91no—
977C24—91no—
978C2×D4—91no—
979C2×D4—271no—
980C2×D4—278no—
981C2×D4—271no—
982C2×D4—271no—
983C22×C4—31no—
984C22×C4—31no—
985C22×C4—91no—
986C22×C4—91no—
987C22×C4—91no—
988C22×C4—91no—
989C22×C4—91no—
990C22×C4—91no—
991C22×C4—184no—
992C22×C4—271no—
993C22×C4—271no—
994C22×C4—271no—
995C22×C4—271no—
996C22×C4—271no—
997C22×C4—544no—
998C4⋊C4—91no—
999C4⋊C4—271no—
1000C4⋊C4—271no—
1001C4⋊C4—271no—
1002C22⋊C4—31no—
1003C22⋊C4—91no—
1004C22⋊C4—91no—
1005C22⋊C4—91no—
1006C22⋊C4—91no—
1007C22⋊C4—271no—
1008C22⋊C4—271no—
1009C22⋊C4—271no—
1010C42—91no—
1011C42—271no—
1012C42—271no—
1013C42—271no—
1014C22×C3—21no—
1015C22×C3—21no—
1016C22×C3—21no—
1017C22×C3—32no—
1018C22×C3—32no—
1019C22×C3—32no—
1020C22×C3—32no—
1021C22×C3—32no—
1022C22×C3—32no—
1023C22×C3—32no—
1024C22×C3—32no—
1025C22×C3—32no—
1026C22×C3—32no—
1027C22×C3—41no—
1028C22×C3—62no—
1029C22×C3—62no—
1030C22×C3—62no—
1031C22×C3—62no—
1032C22×C3—62no—
1033C22×C3—61no—
1034C22×C3—61no—
1035C22×C3—61no—
1036C22×C3—61no—
1037C22×C3—61no—
1038C22×C3—61no—
1039C22×C3—61no—
1040C22×C3—61no—
1041C22×C3—92no—
1042C22×C3—92no—
1043C22×C3—121no—
1044C22×C3—121no—
1045C22×C3—121no—
1046C22×C3—121no—
1047C22×C3—188no—
1048C22×C3—188no—
1049C22×C3—181no—
1050C22×C3—181no—
1051C22×C3—181no—
1052C22×C3—181no—
1053C22×C3C22×D3211yescharacteristic
1054C22×C3C22×D3211yescharacteristic
1055C22×C3C22×D3211yescharacteristic
1056C2×D3—21no—
1057C2×D3—21no—
1058C2×D3—21no—
1059C2×D3—21no—
1060C2×D3—32no—
1061C2×D3—32no—
1062C2×D3—32no—
1063C2×D3—32no—
1064C2×D3—62no—
1065C2×D3—62no—
1066C2×D3—68no—
1067C2×D3—68no—
1068C2×D3—61no—
1069C2×D3—61no—
1070C2×D3—61no—
1071C2×D3—61no—
1072C2×D3—61no—
1073C2×D3—61no—
1074C2×D3—61no—
1075C2×D3—61no—
1076C2×D3—68no—
1077C2×D3—68no—
1078C2×D3—121no—
1079C2×D3—121no—
1080C2×D3—121no—
1081C2×D3—121no—
1082C2×D3#379512yes—
1083C2×D3C4×D3212yes—
1084C2×D3C4×D3212yescomplemented
1085C2×D3C4×D3212yescomplemented
1086C2×D3D3×#6712yes—
1087C3×C4—21no—
1088C3×C4—21no—
1089C3×C4—21no—
1090C3×C4—32no—
1091C3×C4—32no—
1092C3×C4—41no—
1093C3×C4—41no—
1094C3×C4—41no—
1095C3×C4—62no—
1096C3×C4—61no—
1097C3×C4—61no—
1098C3×C4—61no—
1099C3×C4—61no—
1100C3×C4—81no—
1101C3×C4—92no—
1102C3×C4—92no—
1103C3×C4—121no—
1104C3×C4—121no—
1105C3×C4—181no—
1106C3×C4—181no—
1107Dic3—21no—
1108Dic3—21no—
1109Dic3—32no—
1110Dic3—32no—
1111Dic3—32no—
1112Dic3—32no—
1113Dic3—62no—
1114Dic3—62no—
1115Dic3—61no—
1116Dic3—61no—
1117Dic3—61no—
1118Dic3—61no—
1119Dic3—92no—
1120Dic3—92no—
1121Dic3—92no—
1122Dic3—121no—
1123Dic3—121no—
1124Dic3—182no—
1125Dic3—182no—
1126Dic3—182no—
1127Dic3—181no—
1128Dic3—181no—
1129Dic3—181no—
1130Dic3—362no—
1131Dic3—361no—
1132Dic3—361no—
1133Dic3—361no—
1134Dic3—721no—
1135Dic3D3×#6712yescomplemented
1136C32—21no—
1137C32—21no—
1138C32—21no—
1139C32—41no—
1140C32C2×#67⋊C411yescharacteristic, complemented
1141C32C4×D3×D411yescharacteristic, complemented
1142C32C2×C4×#6711yescharacteristic, complemented
1143C23—31no—
1144C23—31no—
1145C23—31no—
1146C23—94no—
1147C23—94no—
1148C23—91no—
1149C23—91no—
1150C23—182no—
1151C23—182no—
1152C23—182no—
1153C23—182no—
1154D4—94no—
1155D4—274no—
1156D4—274no—
1157D4—274no—
1158C2×C4—31no—
1159C2×C4—31no—
1160C2×C4—31no—
1161C2×C4—62no—
1162C2×C4—62no—
1163C2×C4—94no—
1164C2×C4—91no—
1165C2×C4—91no—
1166C2×C4—91no—
1167C2×C4—91no—
1168C2×C4—182no—
1169C2×C4—182no—
1170C2×C4—182no—
1171C2×C4—182no—
1172C2×C4—182no—
1173C2×C4—274no—
1174C2×C4—271no—
1175C2×C4—271no—
1176C2×C4—542no—
1177C2×C4—542no—
1178C2×C4—542no—
1179C2×C4—542no—
1180C2×C4D3311yescharacteristic
1181C2×C3—21no—
1182C2×C3—21no—
1183C2×C3—21no—
1184C2×C3—21no—
1185C2×C3—21no—
1186C2×C3—21no—
1187C2×C3—21no—
1188C2×C3—21no—
1189C2×C3—21no—
1190C2×C3—34no—
1191C2×C3—34no—
1192C2×C3—41no—
1193C2×C3—41no—
1194C2×C3—41no—
1195C2×C3—64no—
1196C2×C3—62no—
1197C2×C3—62no—
1198C2×C3—62no—
1199C2×C3—62no—
1200C2×C3—122no—
1201C2×C3—122no—
1202C2×C3—182no—
1203C2×C3—182no—
1204C2×C3C2×#379511yescharacteristic
1205C2×C3C2×C4×D3211yescharacteristic
1206C2×C3C2×C4×D3211yescharacteristic
1207C2×C3C2×C4×D3211yescharacteristic
1208C2×C3D3×#23511yescharacteristic
1209C2×C3D32×D411yescharacteristic
1210C2×C3D3×#23711yescharacteristic
1211C2×C3C2×D3×#6711yescharacteristic
1212C2×C3C2×D3×#6711yescharacteristic
1213D3—22no—
1214D3—22no—
1215D3—62no—
1216D3—62no—
1217D3—62no—
1218D3—62no—
1219D3—122no—
1220D3—122no—
1221D3#6387914yesdirect product factor
1222C22—32no—
1223C22—32no—
1224C22—32no—
1225C22—32no—
1226C22—32no—
1227C22—61no—
1228C22—61no—
1229C22—61no—
1230C22—61no—
1231C22—92no—
1232C22—92no—
1233C22—188no—
1234C22—188no—
1235C22—181no—
1236C22—181no—
1237C22—181no—
1238C22—181no—
1239C22C2×D3311yescharacteristic
1240C4—21no—
1241C4—32no—
1242C4—61no—
1243C4—61no—
1244C4—92no—
1245C4—92no—
1246C4—181no—
1247C4—181no—
1248C4—272no—
1249C4—541no—
1250C3—21no—
1251C3—21no—
1252C3—21no—
1253C3—41no—
1254C3D3×#67⋊C411yescharacteristic, complemented
1255C3C2×#6387911yescharacteristic, complemented
1256C3C4×D3×#6711yescharacteristic, complemented
1257C2—34no—
1258C2—62no—
1259C2—62no—
1260C2—182no—
1261C2—182no—
1262C2D3×#379511yescharacteristic
1263C2C4×D3311yescharacteristic
1264C2D32×#6711yescharacteristic
subgroupG/H
center, FrattiniC22C2×D33
commutatorC2×C33C23×C4
FittingC2×C33×C4C23
socle, cosocleC22×C33C24
prime radicalC2×D3×#625C2
hypercenterC2×C4D33
hypocenterC33C2×C4×D4
LCSG ▷ C2×C33 ▷ C33
UCSC1 ◁ C22 ◁ C2×C4

Complements

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

NH ≅ G/Ntype
1. C2×C3×C4×D32C2semidirect
3. C2×D32×Dic3C2semidirect
4. #11723684C2semidirect
5. #11723507C2semidirect
6. #11723506C2semidirect
7. D3×#3750C2semidirect
8. C3×D3×(C2×D3)⋊C4C2semidirect
9. C3×#63879C2semidirect
10. #11722936C2semidirect
11. #11722934C2semidirect
12. #11722930C2semidirect
13. #11722924C2semidirect
14. D3×(C2×D3)⋊Dic3C2semidirect
15. D3×Dic32C2semidirect
21. C2×C3×C4×C3⋊D3C22semidirect
23. C2×C32×C4×D3C22semidirect
25. C2×#6294C22semidirect
28. C2×Dic3×C3⋊D3C22semidirect
31. C2×D3×C3⋊Dic3C22semidirect
33. C2×C3×#624C22semidirect
36. C2×C3×D3×Dic3C22semidirect
37. C2×C3×D3×Dic3C22semidirect
39. D3×#625C4semidirect
41. #88857C22semidirect
42. C3×#3752C22semidirect
43. C3×#3750C22semidirect
44. C32×(C2×D3)⋊C4C22semidirect
45. #88814C22semidirect
46. #88813C22semidirect
47. #88807C22semidirect
48. #88806C22semidirect
49. #88803C22semidirect
50. (C2×D3)⋊(C3⋊Dic3)C22semidirect
51. Dic3×C3⋊Dic3C22semidirect
52. Dic3×C3⋊Dic3C22semidirect
53. C3×#3722C22semidirect
54. C3×(C2×D3)⋊Dic3C22semidirect
55. C3×(C2×D3)⋊Dic3C22semidirect
56. C3×Dic32C22semidirect
65. C2×C4×D32D3semidirect
81. D3×(C2×D3)⋊C4D3semidirect
99. #63879D3direct (N × H)
114. C2×C3×D32C2×C4semidirect
115. C2×C3×D32C2×C4semidirect
129. #6295C2×C4semidirect
131. #6290C2×C4semidirect
132. #6290C2×C4semidirect
136. D3×C3⋊Dic3C2×C4semidirect
137. C3×#625C2×C4semidirect
142. C3×D3×Dic3D4semidirect
160. C2×C4×C3⋊D3C2×D3semidirect
182. C2×C3×C4×D3C2×D3semidirect
183. C2×C3×C4×D3C2×D3semidirect
198. C2×#624C2×D3semidirect
217. C2×D3×Dic3C2×D3semidirect
218. C2×D3×Dic3C2×D3semidirect
224. #3752C2×D3semidirect
234. #3750C2×D3semidirect
247. C3×(C2×D3)⋊C4C2×D3semidirect
248. C3×(C2×D3)⋊C4C2×D3semidirect
261. #3722C2×D3semidirect
270. (C2×D3)⋊Dic3C2×D3semidirect
271. (C2×D3)⋊Dic3C2×D3semidirect
281. Dic32C2×D3semidirect
287. C2×C3×C3⋊D3C22×C4semidirect
288. C2×C3×C3⋊D3C22×C4semidirect
294. C2×C32×D3C22×C4semidirect
295. C2×C32×D3C22×C4semidirect
302. C3⋊(C3⋊Dic3)C22×C4semidirect
305. C3×C3⋊Dic3C22×C4semidirect
306. C3×C3⋊Dic3C2×D4semidirect
309. C32×Dic3C2×D4semidirect
394. C2×D32C4×D3semidirect
395. C2×D32C4×D3semidirect
484. #625C4×D3semidirect
504. D3×Dic3#67semidirect
513. C32×D3C4×D4semidirect
588. C2×C4×D3D32semidirect
618. (C2×D3)⋊C4D32semidirect
670. C2×C3⋊D3C2×C4×D3semidirect
671. C2×C3⋊D3C2×C4×D3semidirect
713. C2×C3×D3C2×C4×D3semidirect
714. C2×C3×D3C2×C4×D3semidirect
715. C2×C3×D3C2×C4×D3semidirect
716. C2×C3×D3C2×C4×D3semidirect
749. C3⋊Dic3C2×C4×D3semidirect
750. C3⋊Dic3C2×#67semidirect
770. C3×Dic3D3×D4semidirect
771. C3×Dic3C2×#67semidirect
787. C33C2×C4×D4semidirect
974. C3×D3#67⋊C4semidirect
975. C3×D3C4×#67semidirect
1084. C2×D3C4×D32semidirect
1085. C2×D3C4×D32semidirect
1135. Dic3D3×#67semidirect
1140. C32C2×#67⋊C4semidirect
1141. C32C4×D3×D4semidirect
1142. C32C2×C4×#67semidirect
1221. D3#63879direct (N × H)
1254. C3D3×#67⋊C4semidirect
1255. C3C2×#63879semidirect
1256. C3C4×D3×#67semidirect

Maximal subgroups

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

subgroupindex
C2×C3×C4×D322
C2×D3×#6252
C2×D32×Dic32
#117236842
#117235072
#117235062
D3×#37502
C3×D3×(C2×D3)⋊C42
C3×#638792
#117229362
#117229342
#117229302
#117229242
D3×(C2×D3)⋊Dic32
D3×Dic322
C4×D3×#673
C2×#638793
D3×#67⋊C43