Finite Group Databasebeta

← C2×#10594067 #11900332

Subgroups — C2×#10594067 #11900332

Order 1152.

4017 conjugacy classes of subgroups.

The subgroup lattice has 662 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C23×#624C211yesmaximal, characteristic
2C22×#3797C211yesmaximal, characteristic, complemented
3C2×C22⋊C4×C3⋊D3C211yesmaximal, characteristic
4C2×C3×#878C212yesmaximal, complemented
5C2×#63974C211yesmaximal, characteristic
6C2×#63964C212yesmaximal, complemented
7C2×#63900C211yesmaximal, characteristic, complemented
8C2×#63895C212yesmaximal, complemented
9C2×#63888C212yesmaximal, complemented
10C2×#63883C211yesmaximal, characteristic, complemented
11C2×#63883C211yesmaximal, characteristic, complemented
12#10594067C2116yesmaximal, direct product factor
13C2×D3×C22⋊Q8—32nomaximal
14C24×C3⋊D3C2211yescharacteristic
15C22×C4×C3⋊D3C2211yescharacteristic
16C22×C4×C3⋊D3C2211yescharacteristic
17C23×C3×Dic3C2212yes—
18C22×C3×Dic6C2212yescomplemented
19C22×#627C2212yescomplemented
20C22×#624—28no—
21C22×#624C2218yes—
22C22×#624C2211yescharacteristic
23C22×#624C2211yescharacteristic
24C22×#624C2211yescharacteristic
25C22×#624C2212yes—
26C22×#624C2211yescharacteristic
27C2×#3797—28no—
28C2×#3797C2218yescomplemented
29C2×C32×C22⋊C4C2211yescharacteristic
30C2×#3757C2211yescharacteristic
31C2×#3752C2211yescharacteristic
32C2×#3752C2211yescharacteristic
33C22⋊C4×C3⋊D3C2218yes—
34C2×C3×#217C2212yes—
35C2×C3×C4⋊Dic3C2212yescomplemented
36C2×C3×Dic3⋊C4C2212yescomplemented
37C2×C3×Dic3⋊C4C2212yescomplemented
38C3×#878C22116yescomplemented
39#63974C2218yes—
40C2×#3724C2212yescomplemented
41C2×Dic3⋊Dic3C2212yescomplemented
42C2×Dic3⋊Dic3C2212yescomplemented
43#63964C22116yescomplemented
44C2×#3722C2212yes—
45#63900C2218yescomplemented
46#63895C22116yescomplemented
47#63888C22116yescomplemented
48#63883C2218yescomplemented
49#63883C2218yescomplemented
50C22×D3×Q8—32no—
51C23×C4×D3—32no—
52C2×C3×C22⋊Q8—32no—
53C2×#946—32no—
54C2×#924—32no—
55D3×C22⋊Q8—332no—
56C2×#897—32no—
57C2×#896—32no—
58C2×#896—32no—
59C2×D3×C4⋊C4—32no—
60C2×D3×C4⋊C4—32no—
61C2×D3×C4⋊C4—32no—
62C2×D3×C22⋊C4—32no—
63C2×D3×C22⋊C4—32no—
64C2×D3×C22⋊C4—61no—
65C2×#878—32no—
66C2×#878D312yescomplemented
67C24×C32C2311yescharacteristic
68C23×C3⋊D3—24no—
69C23×C3⋊D3—24no—
70C23×C3⋊D3Q818yescomplemented
71C23×C3⋊D3C2314yes—
72C23×C3⋊D3C2311yescharacteristic
73C23×C3⋊D3C2311yescharacteristic
74C22×C32×C4C2311yescharacteristic
75C22×C32×C4C2311yescharacteristic
76C22×C3⋊Dic3C2311yescharacteristic
77C22×C3⋊Dic3C2311yescharacteristic
78C2×C4×C3⋊D3—24no—
79C2×C4×C3⋊D3—24no—
80C2×C4×C3⋊D3C2314yes—
81C2×C4×C3⋊D3C2314yes—
82C22×C3×Dic3—28no—
83C22×C3×Dic3C2318yes—
84C22×C3×Dic3C2312yes—
85C22×C3×Dic3C2312yes—
86C22×C3×Dic3C2312yes—
87C22×C3×Dic3C2312yes—
88C2×C3×Dic6—28no—
89C2×C3×Dic6C2318yescomplemented
90C2×#627—28no—
91C2×#627C2318yescomplemented
92C2×#624—24no—
93C2×#624—24no—
94C2×#624—24no—
95C2×#624—28no—
96C2×#624—232no—
97C2×#624D418yes—
98C2×#624C2314yes—
99C2×#624C2314yes—
100C2×#624C2318yes—
101C2×#624C2314yes—
102C2×#624C2314yes—
103#3797—232no—
104C32×C22⋊C4C2314yes—
105#3757C2314yes—
106#3752C2314yes—
107#3752C2314yes—
108C3×#217C2318yes—
109C3×C4⋊Dic3C2318yescomplemented
110C3×Dic3⋊C4C2318yescomplemented
111C3×Dic3⋊C4C2318yescomplemented
112#3724C2318yescomplemented
113Dic3⋊Dic3C2318yescomplemented
114Dic3⋊Dic3C2318yescomplemented
115#3722C2318yes—
116C22×C22⋊Q8—91noSylow
117C24×D3—32no—
118C24×D3—61no—
119C22×C3×Q8—32no—
120C23×C3×C4—32no—
121C23×Dic3C2×D312yes—
122C2×D3×Q8—316no—
123C2×D3×Q8—616no—
124C22×C4×D3—32no—
125C22×C4×D3—32no—
126C22×C4×D3—32no—
127C22×C4×D3—32no—
128C22×C4×D3—32no—
129C22×C4×D3—32no—
130C22×C4×D3—316no—
131C22×C4×D3—32no—
132C22×C4×D3—32no—
133C22×C4×D3—61no—
134C22×C4×D3—61no—
135C22×C4×D3—616no—
136C22×Dic6—32no—
137C22×Dic6—32no—
138C22×Dic6C2×D312yescomplemented
139C3×C22⋊Q8—316no—
140C2×C3×C4⋊C4—32no—
141C2×C3×C4⋊C4—32no—
142C2×C3×C4⋊C4—32no—
143C2×C3×C22⋊C4—21no—
144C2×C3×C22⋊C4—32no—
145C2×C3×C22⋊C4C2×D312yes—
146C2×#217—32no—
147C2×#217—61no—
148C2×#217C2×D312yes—
149#946—316no—
150C2×(C2×D3)⋊C4—32no—
151C2×(C2×D3)⋊C4—32no—
152C2×(C2×D3)⋊C4—32no—
153C2×(C2×D3)⋊C4—32no—
154C2×(C2×D3)⋊C4—61no—
155C2×(C2×D3)⋊C4—61no—
156C2×C4⋊Dic3—32no—
157C2×C4⋊Dic3—32no—
158C2×C4⋊Dic3C2×D312yescomplemented
159#924—316no—
160C2×Dic3⋊C4—32no—
161C2×Dic3⋊C4—32no—
162C2×Dic3⋊C4—32no—
163C2×Dic3⋊C4—32no—
164C2×Dic3⋊C4C2×D312yescomplemented
165C2×Dic3⋊C4C2×D312yescomplemented
166#897—316no—
167#896—316no—
168#896—316no—
169D3×C4⋊C4—316no—
170D3×C4⋊C4—316no—
171D3×C4⋊C4—316no—
172D3×C22⋊C4—316no—
173D3×C22⋊C4—316no—
174D3×C22⋊C4—68no—
175#878—316no—
176#878C2×D3116yescomplemented
177C23×C32—22no—
178C23×C32—22no—
179C23×C32C2×Q814yescomplemented
180C23×C32C2412yes—
181C23×C32C2411yescharacteristic
182C22×C3⋊D3—22no—
183C22×C3⋊D3—22no—
184C22×C3⋊D3—232no—
185C22×C3⋊D3—28no—
186C22×C3⋊D3—28no—
187C22×C3⋊D3C2×D414yes—
188C22×C3⋊D3C2×Q814yes—
189C22×C3⋊D3C2×Q8116yescomplemented
190C22×C3⋊D3C2×Q814yescomplemented
191C22×C3⋊D3#4114yes—
192C22×C3⋊D3C2412yes—
193C22×C3⋊D3C2412yes—
194C2×C32×C4—22no—
195C2×C32×C4—22no—
196C2×C32×C4C2412yes—
197C2×C32×C4C2412yes—
198C2×C3⋊Dic3—22no—
199C2×C3⋊Dic3—22no—
200C2×C3⋊Dic3C2412yes—
201C2×C3⋊Dic3C2412yes—
202C4×C3⋊D3—28no—
203C4×C3⋊D3—28no—
204C2×C3×Dic3—24no—
205C2×C3×Dic3—24no—
206C2×C3×Dic3—24no—
207C2×C3×Dic3—216no—
208C2×C3×Dic3C2×D418yes—
209C2×C3×Dic3C2414yes—
210C2×C3×Dic3C2414yes—
211C2×C3×Dic3C2414yes—
212C2×C3×Dic3C2414yes—
213C3×Dic6—216no—
214#627—216no—
215#624—28no—
216#624—28no—
217#624—28no—
218#624—216no—
219#624C2×D4116yes—
220C23×Q8—91no—
221C24×C4—91no—
222C2×C22⋊Q8—32no—
223C2×C22⋊Q8—92no—
224C2×C22⋊Q8—92no—
225C2×C22⋊Q8—92no—
226C2×C22⋊Q8—916no—
227C22×C4⋊C4—91no—
228C22×C4⋊C4—91no—
229C22×C4⋊C4—91no—
230C22×C22⋊C4—91no—
231C22×C22⋊C4—91no—
232C24×C3—21no—
233C24×C3C22×D312yes—
234C23×D3—32no—
235C23×D3—316no—
236C23×D3—38no—
237C23×D3—32no—
238C23×D3—61no—
239C23×D3—68no—
240C23×D3—64no—
241C23×D3—61no—
242C23×D3—68no—
243C23×D3—68no—
244C23×D3—124no—
245C23×D3—124no—
246C2×C3×Q8—38no—
247C2×C3×Q8—68no—
248C22×C3×C4—21no—
249C22×C3×C4—21no—
250C22×C3×C4—32no—
251C22×C3×C4—32no—
252C22×C3×C4—32no—
253C22×C3×C4—32no—
254C22×C3×C4—38no—
255C22×C3×C4—68no—
256C22×C3×C4C22×D312yes—
257C22×C3×C4C22×D312yes—
258C22×Dic3—28no—
259C22×Dic3—32no—
260C22×Dic3—32no—
261C22×Dic3—61no—
262C22×Dic3—61no—
263C22×Dic3C22×D318yes—
264C22×Dic3C22×D312yes—
265C22×Dic3C22×D312yes—
266C22×Dic3C22×D312yes—
267C22×Dic3C22×D312yes—
268D3×Q8—664no—
269C2×C4×D3—316no—
270C2×C4×D3—38no—
271C2×C4×D3—38no—
272C2×C4×D3—38no—
273C2×C4×D3—38no—
274C2×C4×D3—38no—
275C2×C4×D3—38no—
276C2×C4×D3—38no—
277C2×C4×D3—38no—
278C2×C4×D3—64no—
279C2×C4×D3—64no—
280C2×C4×D3—664no—
281C2×C4×D3—68no—
282C2×C4×D3—68no—
283C2×C4×D3—68no—
284C2×C4×D3—68no—
285C2×C4×D3—68no—
286C2×C4×D3—68no—
287C2×C4×D3—68no—
288C2×C4×D3—124no—
289C2×C4×D3—124no—
290C2×Dic6—28no—
291C2×Dic6—38no—
292C2×Dic6—38no—
293C2×Dic6—68no—
294C2×Dic6—68no—
295C2×Dic6C22×D318yescomplemented
296C3×C4⋊C4—38no—
297C3×C4⋊C4—38no—
298C3×C4⋊C4—38no—
299C3×C22⋊C4—24no—
300C3×C22⋊C4—38no—
301C3×C22⋊C4C22×D318yes—
302#217—38no—
303#217—64no—
304#217C22×D318yes—
305(C2×D3)⋊C4—38no—
306(C2×D3)⋊C4—38no—
307(C2×D3)⋊C4—38no—
308(C2×D3)⋊C4—38no—
309(C2×D3)⋊C4—64no—
310(C2×D3)⋊C4—64no—
311C4⋊Dic3—38no—
312C4⋊Dic3—38no—
313C4⋊Dic3C22×D318yescomplemented
314Dic3⋊C4—38no—
315Dic3⋊C4—38no—
316Dic3⋊C4—38no—
317Dic3⋊C4—38no—
318Dic3⋊C4C22×D318yescomplemented
319Dic3⋊C4C22×D318yescomplemented
320C22×C32—28no—
321C22×C32—22no—
322C22×C32—22no—
323C22×C32C22×D412yes—
324C22×C32C22×Q812yes—
325C22×C32C22×Q814yescomplemented
326C22×C32C2×#4112yes—
327C22×C32C2511yescharacteristic
328C2×C3⋊D3—28no—
329C2×C3⋊D3—22no—
330C2×C3⋊D3—22no—
331C2×C3⋊D3—232no—
332C2×C3⋊D3C22⋊Q8116yescomplemented
333C2×C3⋊D3C22×D414yes—
334C2×C3⋊D3C22×Q814yes—
335C2×C3⋊D3C22×Q814yescomplemented
336C2×C3⋊D3C2×#4114yes—
337C32×C4—22no—
338C32×C4—22no—
339C3⋊Dic3—22no—
340C3⋊Dic3—22no—
341C3×Dic3—24no—
342C3×Dic3—24no—
343C3×Dic3—24no—
344C3×Dic3C22×D418yes—
345C25—91no—
346C22×Q8—32no—
347C22×Q8—92no—
348C22×Q8—98no—
349C22×Q8—188no—
350C23×C4—32no—
351C23×C4—91no—
352C23×C4—91no—
353C23×C4—91no—
354C23×C4—91no—
355C23×C4—92no—
356C23×C4—98no—
357C23×C4—91no—
358C23×C4—91no—
359C23×C4—188no—
360C22⋊Q8—316no—
361C22⋊Q8—916no—
362C22⋊Q8—916no—
363C22⋊Q8—916no—
364C2×C4⋊C4—32no—
365C2×C4⋊C4—32no—
366C2×C4⋊C4—32no—
367C2×C4⋊C4—98no—
368C2×C4⋊C4—98no—
369C2×C4⋊C4—98no—
370C2×C4⋊C4—92no—
371C2×C4⋊C4—92no—
372C2×C4⋊C4—92no—
373C2×C22⋊C4—32no—
374C2×C22⋊C4—98no—
375C2×C22⋊C4—92no—
376C2×C22⋊C4—91no—
377C2×C22⋊C4—91no—
378C2×C22⋊C4—91no—
379C2×C22⋊C4—98no—
380C2×C22⋊C4D3211yescharacteristic
381C23×C3—24no—
382C23×C3—24no—
383C23×C3—22no—
384C23×C3—21no—
385C23×C3—24no—
386C23×C3—42no—
387C23×C3—42no—
388C23×C3D3×Q818yescomplemented
389C23×C3C23×D314yes—
390C23×C3C23×D312yes—
391C22×D3—38no—
392C22×D3—38no—
393C22×D3—38no—
394C22×D3—34no—
395C22×D3—38no—
396C22×D3—332no—
397C22×D3—34no—
398C22×D3—64no—
399C22×D3—64no—
400C22×D3—64no—
401C22×D3—62no—
402C22×D3—64no—
403C22×D3—616no—
404C22×D3—62no—
405C22×D3—616no—
406C22×D3—616no—
407C22×D3—664no—
408C22×D3—64no—
409C22×D3—64no—
410C22×D3—128no—
411C22×D3—128no—
412C22×D3—1232no—
413C22×D3—122no—
414C22×D3—122no—
415C3×Q8—616no—
416C2×C3×C4—24no—
417C2×C3×C4—24no—
418C2×C3×C4—22no—
419C2×C3×C4—22no—
420C2×C3×C4—38no—
421C2×C3×C4—34no—
422C2×C3×C4—34no—
423C2×C3×C4—34no—
424C2×C3×C4—34no—
425C2×C3×C4—42no—
426C2×C3×C4—42no—
427C2×C3×C4—616no—
428C2×C3×C4—64no—
429C2×C3×C4—64no—
430C2×C3×C4—64no—
431C2×C3×C4C23×D314yes—
432C2×C3×C4C23×D314yes—
433C2×Dic3—24no—
434C2×Dic3—24no—
435C2×Dic3—24no—
436C2×Dic3—216no—
437C2×Dic3—34no—
438C2×Dic3—34no—
439C2×Dic3—62no—
440C2×Dic3—62no—
441C2×Dic3—64no—
442C2×Dic3—64no—
443C2×Dic3—122no—
444C2×Dic3—122no—
445C2×Dic3D3×D418yes—
446C2×Dic3C23×D314yes—
447C2×Dic3C23×D314yes—
448C2×Dic3C23×D314yes—
449C2×Dic3C23×D314yes—
450C4×D3—332no—
451C4×D3—616no—
452C4×D3—616no—
453C4×D3—616no—
454C4×D3—616no—
455C4×D3—616no—
456C4×D3—616no—
457C4×D3—616no—
458C4×D3—128no—
459C4×D3—128no—
460Dic6—216no—
461Dic6—616no—
462Dic6—616no—
463C2×C32—24no—
464C2×C32C2×C22⋊Q814yescomplemented
465C2×C32C23×D411yescharacteristic
466C2×C32C23×Q811yescharacteristic
467C2×C32C22×#4111yescharacteristic
468C3⋊D3—24no—
469C3⋊D3C2×C22⋊Q818yescomplemented
470C24—91no—
471C24—94no—
472C24—91no—
473C24—98no—
474C24—184no—
475C24—184no—
476C24C2×D3211yescharacteristic
477C2×Q8—38no—
478C2×Q8—68no—
479C2×Q8—98no—
480C2×Q8—188no—
481C2×Q8—1832no—
482C22×C4—32no—
483C22×C4—38no—
484C22×C4—32no—
485C22×C4—32no—
486C22×C4—32no—
487C22×C4—68no—
488C22×C4—94no—
489C22×C4—98no—
490C22×C4—94no—
491C22×C4—94no—
492C22×C4—94no—
493C22×C4—98no—
494C22×C4—91no—
495C22×C4—91no—
496C22×C4—94no—
497C22×C4—94no—
498C22×C4—184no—
499C22×C4—184no—
500C22×C4—188no—
501C22×C4—1832no—
502C22×C4—184no—
503C22×C4—184no—
504C22×C4—184no—
505C22×C4C2×D3211yescharacteristic
506C22×C4C2×D3211yescharacteristic
507C4⋊C4—38no—
508C4⋊C4—38no—
509C4⋊C4—38no—
510C4⋊C4—98no—
511C4⋊C4—98no—
512C4⋊C4—98no—
513C22⋊C4—38no—
514C22⋊C4—98no—
515C22⋊C4—94no—
516C22⋊C4—94no—
517C22⋊C4—94no—
518C22⋊C4C2×D3214yes—
519C22×C3—24no—
520C22×C3—24no—
521C22×C3—216no—
522C22×C3—22no—
523C22×C3—24no—
524C22×C3—22no—
525C22×C3—22no—
526C22×C3—21no—
527C22×C3—48no—
528C22×C3—42no—
529C22×C3—42no—
530C22×C3C2×D3×D414yes—
531C22×C3C2×D3×Q814yes—
532C22×C3C2×D3×Q818yescomplemented
533C22×C3D3×#4114yes—
534C22×C3C24×D312yes—
535C2×D3—38no—
536C2×D3—38no—
537C2×D3—38no—
538C2×D3—332no—
539C2×D3—38no—
540C2×D3—64no—
541C2×D3—64no—
542C2×D3—64no—
543C2×D3—616no—
544C2×D3—64no—
545C2×D3—664no—
546C2×D3—64no—
547C2×D3—64no—
548C2×D3—616no—
549C2×D3—1232no—
550C2×D3—128no—
551C2×D3—122no—
552C2×D3—122no—
553C3×C4—24no—
554C3×C4—24no—
555C3×C4—38no—
556C3×C4—42no—
557C3×C4—42no—
558C3×C4—64no—
559C3×C4—64no—
560C3×C4—64no—
561Dic3—24no—
562Dic3—24no—
563Dic3—24no—
564Dic3—64no—
565Dic3—64no—
566Dic3—122no—
567Dic3—122no—
568Dic3C2×D3×D418yes—
569C32C22×C22⋊Q811yescharacteristic, complemented, Sylow
570C23—22no—
571C23—22no—
572C23—94no—
573C23—94no—
574C23—94no—
575C23—92no—
576C23—94no—
577C23—916no—
578C23—92no—
579C23—188no—
580C23—1832no—
581C23—188no—
582C23—182no—
583C23—182no—
584C23#379714yescomplemented
585C23C22×D3212yes—
586C23C22×D3211yescharacteristic
587Q8—616no—
588Q8—1816no—
589C2×C4—22no—
590C2×C4—22no—
591C2×C4—38no—
592C2×C4—34no—
593C2×C4—34no—
594C2×C4—34no—
595C2×C4—34no—
596C2×C4—616no—
597C2×C4—64no—
598C2×C4—64no—
599C2×C4—64no—
600C2×C4—916no—
601C2×C4—92no—
602C2×C4—92no—
603C2×C4—188no—
604C2×C4—188no—
605C2×C4—1816no—
606C2×C4—188no—
607C2×C4—188no—
608C2×C4—188no—
609C2×C4—182no—
610C2×C4—182no—
611C2×C4C22×D3212yes—
612C2×C4C22×D3212yes—
613C2×C3—28no—
614C2×C3—24no—
615C2×C3—21no—
616C2×C3—21no—
617C2×C3—21no—
618C2×C3—44no—
619C2×C3D3×C22⋊Q818yescomplemented
620C2×C3C22×D3×D412yes—
621C2×C3C22×D3×Q812yes—
622C2×C3C2×D3×#4112yes—
623D3—316no—
624D3—68no—
625D3—68no—
626D3—124no—
627C22—28no—
628C22—22no—
629C22—22no—
630C22—916no—
631C22—94no—
632C22—94no—
633C22—94no—
634C22—94no—
635C22—1832no—
636C22—188no—
637C22—182no—
638C22—182no—
639C22C2×#379712yes—
640C22C2×#379714yescomplemented
641C22D32×D412yes—
642C22#6431212yes—
643C22C23×D3211yescharacteristic
644C4—22no—
645C4—22no—
646C4—38no—
647C4—64no—
648C4—64no—
649C4—64no—
650C4—182no—
651C4—182no—
652C3—21no—
653C3C2×D3×C22⋊Q812yescomplemented
654C2—24no—
655C2—98no—
656C2—184no—
657C2#1059406714yesdirect product factor
658C2C22×#379711yescharacteristic
659C2C2×D32×D411yescharacteristic
660C2C2×#6431211yescharacteristic
subgroupG/H
centerC23C22×D32
commutator, cosocleC22×C32C25
FrattiniC22C23×D32
FittingC2×C32×C22⋊C4C22
socleC23×C32C24
prime radicalC24×C3⋊D3C22
hypercenterC2×C22⋊C4D32
hypocenterC32C22×C22⋊Q8
LCSG ▷ C22×C32 ▷ C32
UCSC1 ◁ C23 ◁ C2×C22⋊C4

Complements

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

NH ≅ G/Ntype
2. C22×#3797C2semidirect
4. C2×C3×#878C2semidirect
6. C2×#63964C2semidirect
7. C2×#63900C2semidirect
8. C2×#63895C2semidirect
9. C2×#63888C2semidirect
10. C2×#63883C2semidirect
11. C2×#63883C2semidirect
12. #10594067C2direct (N × H)
18. C22×C3×Dic6C22semidirect
19. C22×#627C22semidirect
28. C2×#3797C22semidirect
35. C2×C3×C4⋊Dic3C22semidirect
36. C2×C3×Dic3⋊C4C22semidirect
37. C2×C3×Dic3⋊C4C22semidirect
38. C3×#878C22semidirect
40. C2×#3724C22semidirect
41. C2×Dic3⋊Dic3C22semidirect
42. C2×Dic3⋊Dic3C22semidirect
43. #63964C22semidirect
45. #63900C22semidirect
46. #63895C22semidirect
47. #63888C22semidirect
48. #63883C22semidirect
49. #63883C22semidirect
66. C2×#878D3semidirect
70. C23×C3⋊D3Q8semidirect
89. C2×C3×Dic6C23semidirect
91. C2×#627C23semidirect
109. C3×C4⋊Dic3C23semidirect
110. C3×Dic3⋊C4C23semidirect
111. C3×Dic3⋊C4C23semidirect
112. #3724C23semidirect
113. Dic3⋊Dic3C23semidirect
114. Dic3⋊Dic3C23semidirect
138. C22×Dic6C2×D3semidirect
158. C2×C4⋊Dic3C2×D3semidirect
164. C2×Dic3⋊C4C2×D3semidirect
165. C2×Dic3⋊C4C2×D3semidirect
176. #878C2×D3semidirect
179. C23×C32C2×Q8semidirect
189. C22×C3⋊D3C2×Q8semidirect
190. C22×C3⋊D3C2×Q8semidirect
295. C2×Dic6C22×D3semidirect
313. C4⋊Dic3C22×D3semidirect
318. Dic3⋊C4C22×D3semidirect
319. Dic3⋊C4C22×D3semidirect
325. C22×C32C22×Q8semidirect
332. C2×C3⋊D3C22⋊Q8semidirect
335. C2×C3⋊D3C22×Q8semidirect
388. C23×C3D3×Q8semidirect
464. C2×C32C2×C22⋊Q8semidirect
469. C3⋊D3C2×C22⋊Q8semidirect
532. C22×C3C2×D3×Q8semidirect
569. C32C22×C22⋊Q8semidirect
584. C23#3797semidirect
619. C2×C3D3×C22⋊Q8semidirect
640. C22C2×#3797semidirect
653. C3C2×D3×C22⋊Q8semidirect
657. C2#10594067direct (N × H)

Maximal subgroups

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

subgroupindex
C23×#6242
C22×#37972
C2×C22⋊C4×C3⋊D32
C2×C3×#8782
C2×#639742
C2×#639642
C2×#639002
C2×#638952
C2×#638882
C2×#638832
#105940672
C2×D3×C22⋊Q83