Finite Group Databasebeta

← C2×C4×D3×Dic6 #11899933

Subgroups — C2×C4×D3×Dic6 #11899933

Order 1152.

3477 conjugacy classes of subgroups.

The subgroup lattice has 636 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×D3×Dic6C211yesmaximal, characteristic
2C2×C4×#634C211yesmaximal, characteristic, complemented
3C2×C3×C42×D3C211yesmaximal, characteristic
4C2×C3×C4×Dic6C211yesmaximal, characteristic, complemented
5C2×C4×#627C212yesmaximal, complemented
6C2×D3×C4⋊Dic3C211yesmaximal, characteristic
7C2×D3×Dic3⋊C4C212yesmaximal
8C2×C4×D3×Dic3C212yesmaximal
9C2×#63844C211yesmaximal, characteristic, complemented
10C2×Dic3×Dic6C211yesmaximal, characteristic, complemented
11C2×#63837C212yesmaximal, complemented
12C4×D3×Dic6C2116yesmaximal, direct product factor
13C2×C4×D3×Q8—31nomaximal
14C22×C4×Dic6—31nomaximal
15C22×#634C2211yescharacteristic
16C22×C3×C4×D3C2211yescharacteristic
17C22×C3×C4×D3C2211yescharacteristic
18C22×C3×C4×D3C2211yescharacteristic
19C22×C3×Dic6C2211yescharacteristic
20C22×#627C2212yes—
21C22×D3×Dic3C2212yes—
22C22×D3×Dic3C2212yes—
23C2×D3×Dic6C4116yesdirect product factor
24C2×D3×Dic6C2218yes—
25C2×C32×C42C2211yescharacteristic
26C2×C4⋊(C3⋊Dic3)C2211yescharacteristic
27C2×#3750C2212yes—
28C2×C4×C3⋊Dic3C2212yes—
29C4×#634C2218yescomplemented
30C2×C3×C4⋊Dic3C2211yescharacteristic
31C2×C3×Dic3⋊C4C2212yes—
32C2×C3×C4×Dic3C2211yescharacteristic
33C2×C3×C4×Dic3C2212yes—
34C2×C3×C4×Dic3C2211yescharacteristic
35C2×C3×C4×Dic3C2211yescharacteristic
36C3×C42×D3C2218yes—
37C3×C4×Dic6C2218yescomplemented
38C2×#3724C2212yes—
39C2×Dic3⋊Dic3C2212yes—
40C2×Dic3⋊Dic3C2212yes—
41C2×Dic32C2212yes—
42C2×Dic32C2212yes—
43C4×#627C22116yescomplemented
44D3×C4⋊Dic3C2218yes—
45D3×Dic3⋊C4C22116yes—
46C4×D3×Dic3C22116yes—
47#63844C2218yescomplemented
48Dic3×Dic6C2218yescomplemented
49#63837C22116yescomplemented
50C22×D3×Q8—31no—
51C23×Dic6—31no—
52C2×C3×C4×Q8—31no—
53C22×C3×C42—31no—
54C2×Q8×Dic3—31no—
55C22×C4⋊Dic3—31no—
56C22×Dic3⋊C4—32no—
57C22×C4×Dic3—32no—
58C4×D3×Q8—316no—
59C2×D3×C4⋊C4—32no—
60C2×D3×C4⋊C4—31no—
61C2×#887—31no—
62C2×#887—32no—
63C2×C42×D3—32no—
64C2×C42×D3D311yescharacteristic
65C2×C4×Dic6—31no—
66C2×C4×Dic6—31no—
67C2×C4×Dic6—31no—
68C2×C4×Dic6—31no—
69C2×C4×Dic6—32no—
70C2×C4×Dic6—32no—
71C2×C4×Dic6—32no—
72C2×C4×Dic6—316no—
73C2×C4×Dic6—61no—
74C2×C4×Dic6D311yescharacteristic, direct product factor
75C23×C3×D3C2311yescharacteristic
76C22×C32×C4C2311yescharacteristic
77C22×C32×C4C2311yescharacteristic
78C22×C32×C4C2311yescharacteristic
79C22×C3⋊Dic3C2312yes—
80C22×C3⋊Dic3C2312yes—
81C2×#634C2×C418yescomplemented
82C2×#634C2314yes—
83C22×C3×Dic3C2311yescharacteristic
84C22×C3×Dic3C2312yes—
85C22×C3×Dic3C2311yescharacteristic
86C22×C3×Dic3C2312yes—
87C22×C3×Dic3C2311yescharacteristic
88C2×C3×C4×D3—24no—
89C2×C3×C4×D3C2×C418yes—
90C2×C3×C4×D3Q818yescomplemented
91C2×C3×C4×D3C2314yes—
92C2×C3×C4×D3C2314yes—
93C2×C3×C4×D3C2314yes—
94C2×C3×Dic6C2×C418yescomplemented
95C2×C3×Dic6C2314yes—
96C2×#627C2×C4116yescomplemented
97C2×#627C2318yes—
98C2×D3×Dic3—28no—
99C2×D3×Dic3C2×C4116yes—
100C2×D3×Dic3C2318yes—
101C2×D3×Dic3C2318yes—
102D3×Dic6C2×C4164yesdirect product factor
103C32×C42C2314yes—
104C4⋊(C3⋊Dic3)C2314yes—
105#3750C2318yes—
106C4×C3⋊Dic3C2318yes—
107C3×C4⋊Dic3C2314yes—
108C3×Dic3⋊C4C2318yes—
109C3×C4×Dic3C2314yes—
110C3×C4×Dic3C2314yes—
111C3×C4×Dic3C2318yes—
112C3×C4×Dic3C2314yes—
113#3724C2318yes—
114Dic3⋊Dic3C2318yes—
115Dic3⋊Dic3C2318yes—
116Dic32C2318yes—
117Dic32C2318yes—
118C22×C4×Q8—91noSylow
119C22×C3×Q8—31no—
120C23×C3×C4—31no—
121C23×C3×C4—31no—
122C23×C3×C4—31no—
123C23×Dic3—32no—
124C23×Dic3—32no—
125C2×D3×Q8—316no—
126C2×D3×Q8—38no—
127C22×C4×D3—32no—
128C22×C4×D3—32no—
129C22×C4×D3C2×D311yescharacteristic
130C22×C4×D3C2×D311yescharacteristic
131C22×C4×D3C2×D311yescharacteristic
132C22×Dic6—31no—
133C22×Dic6—31no—
134C22×Dic6—32no—
135C22×Dic6—32no—
136C22×Dic6—316no—
137C22×Dic6—38no—
138C22×Dic6—61no—
139C22×Dic6C2×D311yescharacteristic
140C3×C4×Q8—38no—
141C2×C3×C4⋊C4—32no—
142C2×C3×C4⋊C4—31no—
143C2×C3×C42—21no—
144C2×C3×C42—31no—
145C2×C3×C42—31no—
146C2×C3×C42—31no—
147C2×C3×C42—32no—
148C2×C3×C42—38no—
149C2×C3×C42C2×D311yescharacteristic
150C2×C3×C42C2×D311yescharacteristic
151Q8×Dic3—38no—
152C2×C4⋊Dic3—31no—
153C2×C4⋊Dic3—31no—
154C2×C4⋊Dic3—32no—
155C2×C4⋊Dic3—32no—
156C2×C4⋊Dic3—38no—
157C2×C4⋊Dic3—61no—
158C2×C4⋊Dic3C2×D311yescharacteristic
159C2×Dic3⋊C4—32no—
160C2×Dic3⋊C4—32no—
161C2×Dic3⋊C4—32no—
162C2×Dic3⋊C4—32no—
163C2×Dic3⋊C4—32no—
164C2×Dic3⋊C4—32no—
165C2×Dic3⋊C4—316no—
166C2×Dic3⋊C4—62no—
167C2×Dic3⋊C4C2×D312yes—
168C2×C4×Dic3—32no—
169C2×C4×Dic3—32no—
170C2×C4×Dic3—32no—
171C2×C4×Dic3—32no—
172C2×C4×Dic3—32no—
173C2×C4×Dic3—32no—
174C2×C4×Dic3—316no—
175C2×C4×Dic3—62no—
176C2×C4×Dic3C2×D311yescharacteristic
177C2×C4×Dic3C2×D312yes—
178C2×C4×Dic3C2×D311yescharacteristic
179C2×C4×Dic3C2×D311yescharacteristic
180D3×C4⋊C4—316no—
181D3×C4⋊C4—38no—
182#887—316no—
183#887—38no—
184C42×D3—316no—
185C42×D3C2×D318yes—
186C4×Dic6—38no—
187C4×Dic6—38no—
188C4×Dic6—38no—
189C4×Dic6—38no—
190C4×Dic6—316no—
191C4×Dic6—316no—
192C4×Dic6—316no—
193C4×Dic6—68no—
194C4×Dic6C2×D318yesdirect product factor
195C23×C32C2411yescharacteristic
196C22×C3×D3C22×C414yes—
197C22×C3×D3C2×Q814yes—
198C22×C3×D3#4114yes—
199C22×C3×D3C2412yes—
200C2×C32×C4—22no—
201C2×C32×C4C22×C414yes—
202C2×C32×C4C2×Q814yescomplemented
203C2×C32×C4C2412yes—
204C2×C32×C4C2412yes—
205C2×C32×C4C2412yes—
206C2×C3⋊Dic3—24no—
207C2×C3⋊Dic3C22×C418yes—
208C2×C3⋊Dic3C2414yes—
209C2×C3⋊Dic3C2414yes—
210#634C22×C4116yescomplemented
211C2×C3×Dic3—24no—
212C2×C3×Dic3—22no—
213C2×C3×Dic3C22×C418yes—
214C2×C3×Dic3C22×C414yes—
215C2×C3×Dic3C2×Q814yescomplemented
216C2×C3×Dic3C2414yes—
217C2×C3×Dic3C2412yes—
218C2×C3×Dic3C2414yes—
219C2×C3×Dic3C2412yes—
220C2×C3×Dic3C2412yes—
221C3×C4×D3—28no—
222C3×C4×D3C22×C4116yes—
223C3×C4×D3C2×Q8116yescomplemented
224C3×Dic6C22×C4116yescomplemented
225#627C22×C4132yescomplemented
226D3×Dic3—216no—
227D3×Dic3C22×C4132yes—
228C23×Q8—91no—
229C2×C4×Q8—31no—
230C2×C4×Q8—92no—
231C2×C4×Q8—92no—
232C2×C4×Q8—91no—
233C2×C4×Q8—916no—
234C2×C4×Q8—91no—
235C2×C4×Q8—91no—
236C22×C4⋊C4—92no—
237C22×C4⋊C4—91no—
238C22×C42—31no—
239C22×C42—92no—
240C24×C3—31no—
241C23×D3C22×D311yescharacteristic
242C2×C3×Q8—38no—
243C2×C3×Q8—34no—
244C22×C3×C4—21no—
245C22×C3×C4—21no—
246C22×C3×C4—21no—
247C22×C3×C4—31no—
248C22×C3×C4—32no—
249C22×C3×C4—31no—
250C22×C3×C4—38no—
251C22×C3×C4—38no—
252C22×C3×C4—34no—
253C22×C3×C4—34no—
254C22×C3×C4—32no—
255C22×C3×C4—31no—
256C22×C3×C4—34no—
257C22×C3×C4—64no—
258C22×C3×C4C22×D311yescharacteristic
259C22×C3×C4C22×D311yescharacteristic
260C22×C3×C4C22×D311yescharacteristic
261C22×C3×C4C22×D311yescharacteristic
262C22×C3×C4C22×D311yescharacteristic
263C22×C3×C4C22×D311yescharacteristic
264C22×Dic3—32no—
265C22×Dic3—32no—
266C22×Dic3—316no—
267C22×Dic3—38no—
268C22×Dic3—32no—
269C22×Dic3—32no—
270C22×Dic3—38no—
271C22×Dic3—62no—
272C22×Dic3—62no—
273C22×Dic3—68no—
274C22×Dic3C22×D312yes—
275C22×Dic3C22×D311yescharacteristic
276C22×Dic3C22×D311yescharacteristic
277C22×Dic3C22×D312yes—
278C22×Dic3C22×D311yescharacteristic
279D3×Q8—364no—
280C2×C4×D3—24no—
281C2×C4×D3—316no—
282C2×C4×D3—38no—
283C2×C4×D3—38no—
284C2×C4×D3—68no—
285C2×C4×D3Dic618yesdirect product factor
286C2×C4×D3C4×D318yes—
287C2×C4×D3C22×D314yes—
288C2×C4×D3C22×D314yes—
289C2×C4×D3C22×D314yes—
290C2×Dic6—38no—
291C2×Dic6—38no—
292C2×Dic6—34no—
293C2×Dic6—34no—
294C2×Dic6—316no—
295C2×Dic6—316no—
296C2×Dic6—38no—
297C2×Dic6—38no—
298C2×Dic6—364no—
299C2×Dic6—64no—
300C2×Dic6—68no—
301C2×Dic6C4×D318yesdirect product factor
302C2×Dic6C22×D314yes—
303C3×C4⋊C4—38no—
304C3×C4⋊C4—34no—
305C3×C42—24no—
306C3×C42—34no—
307C3×C42—34no—
308C3×C42—34no—
309C3×C42—38no—
310C3×C42C22×D314yes—
311C3×C42C22×D314yes—
312C4⋊Dic3—34no—
313C4⋊Dic3—34no—
314C4⋊Dic3—38no—
315C4⋊Dic3—38no—
316C4⋊Dic3—64no—
317C4⋊Dic3C22×D314yes—
318Dic3⋊C4—38no—
319Dic3⋊C4—38no—
320Dic3⋊C4—38no—
321Dic3⋊C4—38no—
322Dic3⋊C4—38no—
323Dic3⋊C4—38no—
324Dic3⋊C4—68no—
325Dic3⋊C4C22×D318yes—
326C4×Dic3—38no—
327C4×Dic3—38no—
328C4×Dic3—38no—
329C4×Dic3—38no—
330C4×Dic3—38no—
331C4×Dic3—38no—
332C4×Dic3—68no—
333C4×Dic3C22×D314yes—
334C4×Dic3C22×D318yes—
335C4×Dic3C22×D314yes—
336C4×Dic3C22×D314yes—
337C22×C32C23×C412yes—
338C22×C32C22×Q812yes—
339C22×C32C2×#4112yes—
340C22×C32C2511yescharacteristic
341C2×C3×D3C4×Q8116yescomplemented
342C2×C3×D3C23×C414yes—
343C2×C3×D3C22×Q814yes—
344C2×C3×D3C2×#4114yes—
345C32×C4—22no—
346C32×C4C23×C414yes—
347C32×C4C22×Q814yescomplemented
348C3⋊Dic3—24no—
349C3⋊Dic3C23×C418yes—
350C3×Dic3—24no—
351C3×Dic3—22no—
352C3×Dic3C23×C418yes—
353C3×Dic3C23×C414yes—
354C3×Dic3C22×Q814yescomplemented
355C22×Q8—31no—
356C22×Q8—92no—
357C22×Q8—98no—
358C22×Q8—916no—
359C22×Q8—91no—
360C23×C4—31no—
361C23×C4—31no—
362C23×C4—31no—
363C23×C4—92no—
364C23×C4—92no—
365C4×Q8—38no—
366C4×Q8—916no—
367C4×Q8—916no—
368C4×Q8—98no—
369C4×Q8—98no—
370C4×Q8—98no—
371C2×C4⋊C4—32no—
372C2×C4⋊C4—31no—
373C2×C4⋊C4—916no—
374C2×C4⋊C4—98no—
375C2×C4⋊C4—92no—
376C2×C4⋊C4—92no—
377C2×C4⋊C4—92no—
378C2×C4⋊C4—92no—
379C2×C4⋊C4—91no—
380C2×C42—31no—
381C2×C42—31no—
382C2×C42—32no—
383C2×C42—31no—
384C2×C42—38no—
385C2×C42—916no—
386C2×C42—92no—
387C2×C42—92no—
388C2×C42—92no—
389C2×C42D3211yescharacteristic
390C23×C3—21no—
391C23×C3—34no—
392C23×C3—34no—
393C23×C3—34no—
394C23×C3—32no—
395C23×C3C23×D311yescharacteristic
396C23×C3C23×D311yescharacteristic
397C22×D3C2×Dic614yes—
398C22×D3C2×C4×D314yes—
399C22×D3#23514yes—
400C22×D3C23×D312yes—
401C3×Q8—316no—
402C2×C3×C4—22no—
403C2×C3×C4—22no—
404C2×C3×C4—22no—
405C2×C3×C4—22no—
406C2×C3×C4—22no—
407C2×C3×C4—24no—
408C2×C3×C4—24no—
409C2×C3×C4—34no—
410C2×C3×C4—38no—
411C2×C3×C4—34no—
412C2×C3×C4—32no—
413C2×C3×C4—34no—
414C2×C3×C4—32no—
415C2×C3×C4—316no—
416C2×C3×C4—316no—
417C2×C3×C4—34no—
418C2×C3×C4—32no—
419C2×C3×C4—42no—
420C2×C3×C4—68no—
421C2×C3×C4—64no—
422C2×C3×C4—62no—
423C2×C3×C4C2×Dic614yescomplemented
424C2×C3×C4C2×C4×D314yes—
425C2×C3×C4C2×C4×D314yes—
426C2×C3×C4D3×Q814yescomplemented
427C2×C3×C4C23×D312yes—
428C2×C3×C4C23×D312yes—
429C2×C3×C4C23×D312yes—
430C2×C3×C4C23×D312yes—
431C2×C3×C4C23×D312yes—
432C2×C3×C4C23×D312yes—
433C2×Dic3—22no—
434C2×Dic3—24no—
435C2×Dic3—38no—
436C2×Dic3—38no—
437C2×Dic3—34no—
438C2×Dic3—34no—
439C2×Dic3—332no—
440C2×Dic3—34no—
441C2×Dic3—34no—
442C2×Dic3—68no—
443C2×Dic3—64no—
444C2×Dic3—64no—
445C2×Dic3—616no—
446C2×Dic3—64no—
447C2×Dic3—64no—
448C2×Dic3—124no—
449C2×Dic3C2×Dic614yescomplemented
450C2×Dic3C2×C4×D314yes—
451C2×Dic3C2×C4×D318yes—
452C2×Dic3C23×D314yes—
453C2×Dic3C23×D312yes—
454C2×Dic3C23×D312yes—
455C2×Dic3C23×D314yes—
456C2×Dic3C23×D312yes—
457C4×D3—28no—
458C4×D3—332no—
459C4×D3—616no—
460C4×D3C2×Dic6116yesdirect product factor
461C4×D3C2×C4×D3116yes—
462Dic6—316no—
463Dic6—316no—
464Dic6—332no—
465Dic6—332no—
466Dic6—616no—
467Dic6C2×C4×D3116yesdirect product factor
468C2×C32C2×C4×Q814yescomplemented
469C2×C32C24×C411yescharacteristic
470C2×C32C23×Q811yescharacteristic
471C2×C32C22×#4111yescharacteristic
472C3×D3C2×C4×Q818yescomplemented
473C24—31no—
474C2×Q8—34no—
475C2×Q8—38no—
476C2×Q8—98no—
477C2×Q8—916no—
478C2×Q8—964no—
479C2×Q8—94no—
480C2×Q8—98no—
481C22×C4—31no—
482C22×C4—31no—
483C22×C4—32no—
484C22×C4—34no—
485C22×C4—34no—
486C22×C4—38no—
487C22×C4—38no—
488C22×C4—31no—
489C22×C4—32no—
490C22×C4—34no—
491C22×C4—64no—
492C22×C4—98no—
493C22×C4—916no—
494C22×C4—98no—
495C22×C4—92no—
496C22×C4—92no—
497C22×C4—188no—
498C22×C4C2×D3211yescharacteristic
499C22×C4C2×D3211yescharacteristic
500C22×C4C2×D3211yescharacteristic
501C4⋊C4—38no—
502C4⋊C4—34no—
503C4⋊C4—98no—
504C4⋊C4—98no—
505C4⋊C4—98no—
506C4⋊C4—98no—
507C4⋊C4—94no—
508C42—34no—
509C42—34no—
510C42—34no—
511C42—38no—
512C42—98no—
513C42—98no—
514C42—98no—
515C42C2×D3214yes—
516C22×C3—22no—
517C22×C3—22no—
518C22×C3—22no—
519C22×C3—21no—
520C22×C3—34no—
521C22×C3—34no—
522C22×C3—34no—
523C22×C3—316no—
524C22×C3C22×Dic612yes—
525C22×C3C22×C4×D312yes—
526C22×C3C22×C4×D312yes—
527C22×C3C2×#23512yes—
528C22×C3C2×D3×Q812yes—
529C22×C3D3×#4112yes—
530C22×C3C24×D311yescharacteristic
531C22×C3C24×D311yescharacteristic
532C2×D3C4×Dic6116yesdirect product factor
533C2×D3C22×Dic614yes—
534C2×D3C22×C4×D314yes—
535C2×D3C2×#23514yes—
536C3×C4—22no—
537C3×C4—22no—
538C3×C4—24no—
539C3×C4—24no—
540C3×C4—34no—
541C3×C4—38no—
542C3×C4—34no—
543C3×C4—42no—
544C3×C4—64no—
545C3×C4—62no—
546C3×C4C22×Dic614yescomplemented
547C3×C4C22×C4×D314yes—
548C3×C4C22×C4×D314yes—
549C3×C4C2×D3×Q814yescomplemented
550Dic3—22no—
551Dic3—24no—
552Dic3—38no—
553Dic3—38no—
554Dic3—68no—
555Dic3—64no—
556Dic3—64no—
557Dic3—124no—
558Dic3C22×Dic614yescomplemented
559Dic3C22×C4×D314yes—
560Dic3C22×C4×D318yes—
561C32C22×C4×Q811yescharacteristic, complemented, Sylow
562C23—34no—
563C23—34no—
564C23—34no—
565C23—32no—
566C23C22×D3211yescharacteristic
567Q8—316no—
568Q8—932no—
569Q8—916no—
570C2×C4—22no—
571C2×C4—34no—
572C2×C4—34no—
573C2×C4—38no—
574C2×C4—32no—
575C2×C4—32no—
576C2×C4—34no—
577C2×C4—316no—
578C2×C4—316no—
579C2×C4—32no—
580C2×C4—34no—
581C2×C4—68no—
582C2×C4—62no—
583C2×C4—64no—
584C2×C4—932no—
585C2×C4—98no—
586C2×C4—94no—
587C2×C4—94no—
588C2×C4—1816no—
589C2×C4—184no—
590C2×C4D3×Dic614yesdirect product factor
591C2×C4C4×D3214yes—
592C2×C4C22×D3212yes—
593C2×C4C22×D3212yes—
594C2×C4C22×D3212yes—
595C2×C3—21no—
596C2×C3—21no—
597C2×C3—21no—
598C2×C3—24no—
599C2×C3—38no—
600C2×C3C2×C4×Dic614yescomplemented
601C2×C3C4×D3×Q814yescomplemented
602C2×C3C23×Dic611yescharacteristic
603C2×C3C23×C4×D311yescharacteristic
604C2×C3C23×C4×D311yescharacteristic
605C2×C3C22×#23511yescharacteristic
606C2×C3C22×D3×Q811yescharacteristic
607C2×C3C2×D3×#4111yescharacteristic
608D3C2×C4×Dic618yesdirect product factor
609C22—34no—
610C22—34no—
611C22—34no—
612C22—316no—
613C22C2×D3×Dic612yes—
614C22C2×C4×D3212yes—
615C22D3×#23512yes—
616C22C23×D3211yescharacteristic
617C4—22no—
618C4—34no—
619C4—34no—
620C4—38no—
621C4—62no—
622C4—64no—
623C4—98no—
624C4—184no—
625C4C2×D3×Dic614yesdirect product factor
626C4C2×C4×D3214yes—
627C3—21no—
628C3C22×C4×Dic611yescharacteristic, complemented
629C3C2×C4×D3×Q811yescharacteristic, complemented
630C2—38no—
631C2C4×D3×Dic614yesdirect product factor
632C2C22×D3×Dic611yescharacteristic
633C2C22×C4×D3211yescharacteristic
634C2C2×D3×#23511yescharacteristic
subgroupG/H
centerC22×C4C2×D32
commutatorC2×C32C24×C4
FrattiniC22C23×D32
FittingC2×C32×C42C22
socleC23×C32C24
prime radicalC23×C3×D3C23
cosocleC22×C32C25
hypercenterC2×C42D32
hypocenterC32C22×C4×Q8
LCSG ▷ C2×C32 ▷ C32
UCSC1 ◁ C22×C4 ◁ C2×C42

Complements

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

NH ≅ G/Ntype
2. C2×C4×#634C2semidirect
4. C2×C3×C4×Dic6C2semidirect
5. C2×C4×#627C2semidirect
9. C2×#63844C2semidirect
10. C2×Dic3×Dic6C2semidirect
11. C2×#63837C2semidirect
12. C4×D3×Dic6C2direct (N × H)
23. C2×D3×Dic6C4direct (N × H)
29. C4×#634C22semidirect
37. C3×C4×Dic6C22semidirect
43. C4×#627C22semidirect
47. #63844C22semidirect
48. Dic3×Dic6C22semidirect
49. #63837C22semidirect
74. C2×C4×Dic6D3direct (N × H)
81. C2×#634C2×C4semidirect
90. C2×C3×C4×D3Q8semidirect
94. C2×C3×Dic6C2×C4semidirect
96. C2×#627C2×C4semidirect
102. D3×Dic6C2×C4direct (N × H)
194. C4×Dic6C2×D3direct (N × H)
202. C2×C32×C4C2×Q8semidirect
210. #634C22×C4semidirect
215. C2×C3×Dic3C2×Q8semidirect
223. C3×C4×D3C2×Q8semidirect
224. C3×Dic6C22×C4semidirect
225. #627C22×C4semidirect
285. C2×C4×D3Dic6direct (N × H)
301. C2×Dic6C4×D3direct (N × H)
341. C2×C3×D3C4×Q8semidirect
347. C32×C4C22×Q8semidirect
354. C3×Dic3C22×Q8semidirect
423. C2×C3×C4C2×Dic6semidirect
426. C2×C3×C4D3×Q8semidirect
449. C2×Dic3C2×Dic6semidirect
460. C4×D3C2×Dic6direct (N × H)
467. Dic6C2×C4×D3direct (N × H)
468. C2×C32C2×C4×Q8semidirect
472. C3×D3C2×C4×Q8semidirect
532. C2×D3C4×Dic6direct (N × H)
546. C3×C4C22×Dic6semidirect
549. C3×C4C2×D3×Q8semidirect
558. Dic3C22×Dic6semidirect
561. C32C22×C4×Q8semidirect
590. C2×C4D3×Dic6direct (N × H)
600. C2×C3C2×C4×Dic6semidirect
601. C2×C3C4×D3×Q8semidirect
608. D3C2×C4×Dic6direct (N × H)
625. C4C2×D3×Dic6direct (N × H)
628. C3C22×C4×Dic6semidirect
629. C3C2×C4×D3×Q8semidirect
631. C2C4×D3×Dic6direct (N × H)

Maximal subgroups

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

subgroupindex
C22×D3×Dic62
C2×C4×#6342
C2×C3×C42×D32
C2×C3×C4×Dic62
C2×C4×#6272
C2×D3×C4⋊Dic32
C2×D3×Dic3⋊C42
C2×C4×D3×Dic32
C2×#638442
C2×Dic3×Dic62
C2×#638372
C4×D3×Dic62
C2×C4×D3×Q83
C22×C4×Dic63