Finite Group Databasebeta

← C2×#10594993 #11903270

Subgroups — C2×#10594993 #11903270

Order 1152.

2609 conjugacy classes of subgroups.

The subgroup lattice has 652 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C4⋊(C3⋊Dic3)C211yesmaximal, characteristic, complemented
2C2×C3×C4×#67C211yesmaximal, characteristic
3C2×C3×#924C211yesmaximal, characteristic, complemented
4C2×#63982C212yesmaximal, complemented
5C2×#67⋊Dic3C212yesmaximal
6C2×#63918C211yesmaximal, characteristic, complemented
7#10594993C2116yesmaximal, direct product factor
8C2×#63893C212yesmaximal, complemented
9C2×D3×C4⋊Dic3C211yesmaximal, characteristic, complemented
10C2×#63856C211yesmaximal, characteristic, complemented
11C2×#63845C212yesmaximal, complemented
12C2×Dic3×Dic6C211yesmaximal, characteristic, complemented
13C2×#5635—31nomaximal
14C2×#5543—31nomaximal
15C23×C32×C4C2211yescharacteristic
16C23×C3⋊Dic3C2212yes—
17C22×C3×#67C2211yescharacteristic
18C22×C3×C4×D3C2211yescharacteristic
19C22×C3×Dic6C2211yescharacteristic
20C22×#627C2212yes—
21C22×D3×Dic3C2212yes—
22C2×C4⋊(C3⋊Dic3)C2211yescharacteristic
23C2×C4⋊(C3⋊Dic3)C2212yes—
24C2×C4⋊(C3⋊Dic3)C2211yescharacteristic
25C2×C4⋊(C3⋊Dic3)C2218yescomplemented
26C2×C3×#217C2212yes—
27C2×C3×#217C2211yescharacteristic
28C3×C4×#67C2218yes—
29C2×C3×(C2×D3)⋊C4C2211yescharacteristic
30C2×C3×C4⋊Dic3C2211yescharacteristic
31C3×#924C2218yescomplemented
32C2×C3×Dic3⋊C4C2211yescharacteristic
33C2×C3×Dic3⋊C4C2212yes—
34C2×C3×C4×Dic3C2211yescharacteristic
35#63982C22116yescomplemented
36#67⋊Dic3C22116yes—
37C2×#3724C2212yes—
38C2×Dic3⋊Dic3C2212yes—
39C2×Dic3⋊Dic3C2212yes—
40C2×Dic3⋊Dic3C2212yes—
41C2×(C2×D3)⋊Dic3C2212yes—
42C2×Dic32C2212yes—
43#63918C2218yescomplemented
44#63893C22116yescomplemented
45D3×C4⋊Dic3C2218yescomplemented
46#63856C2218yescomplemented
47#63845C22116yescomplemented
48Dic3×Dic6C2218yescomplemented
49C2×C3×C22⋊Q8—31no—
50C2×C3×C4×D4—31no—
51C2×#946—31no—
52C2×Q8×Dic3—31no—
53C2×D4×Dic3—32no—
54C2×C4×#67D311yescharacteristic
55C22×C4⋊Dic3—31no—
56C22×C4⋊Dic3—31no—
57C22×C4⋊Dic3—31no—
58C22×C4⋊Dic3—61no—
59C2×#924—31no—
60C2×#924D311yescharacteristic, complemented
61#5635—316no—
62#5543—316no—
63C2×#897—32no—
64C2×D3×C4⋊C4—31no—
65C2×#890—32no—
66C2×#889—32no—
67C2×#888—31no—
68C2×#67⋊C4—32no—
69C2×#878—32no—
70C2×#878—32no—
71C2×#878—32no—
72C2×#869—31no—
73C2×C4×Dic6—31no—
74C24×C32C2311yescharacteristic
75C23×C3×D3C2311yescharacteristic
76C22×C32×C4—24no—
77C22×C32×C4C2311yescharacteristic
78C22×C32×C4C2314yes—
79C22×C32×C4C2311yescharacteristic
80C22×C3⋊Dic3—44no—
81C22×C3⋊Dic3C2312yes—
82C22×C3⋊Dic3C2312yes—
83C22×C3⋊Dic3C2318yes—
84C2×C3×#67Q818yescomplemented
85C2×C3×#67C2314yes—
86C22×C3×Dic3C2311yescharacteristic
87C22×C3×Dic3C2312yes—
88C22×C3×Dic3C2312yes—
89C22×C3×Dic3C2311yescharacteristic
90C22×C3×Dic3C2311yescharacteristic
91C2×C3×C4×D3—24no—
92C2×C3×C4×D3C2314yes—
93C2×C3×Dic6—24no—
94C2×C3×Dic6C2314yes—
95C2×#627—44no—
96C2×#627C2318yes—
97C2×D3×Dic3—44no—
98C2×D3×Dic3C2318yes—
99C4⋊(C3⋊Dic3)C2314yes—
100C4⋊(C3⋊Dic3)C2318yes—
101C4⋊(C3⋊Dic3)C2314yes—
102C3×#217C2318yes—
103C3×#217C2314yes—
104C3×(C2×D3)⋊C4C2314yes—
105C3×C4⋊Dic3C2314yes—
106C3×Dic3⋊C4C2318yes—
107C3×Dic3⋊C4C2314yes—
108C3×C4×Dic3C2314yes—
109#3724C2318yes—
110Dic3⋊Dic3C2318yes—
111Dic3⋊Dic3C2318yes—
112Dic3⋊Dic3C2318yes—
113(C2×D3)⋊Dic3C2318yes—
114Dic32C2318yes—
115C2×#554—91noSylow
116C22×C3×Q8—31no—
117C22×C3×D4—31no—
118C23×C3×C4—21no—
119C23×C3×C4—31no—
120C23×C3×C4C2×D311yescharacteristic
121C23×C3×C4C2×D311yescharacteristic
122C22×#67C2×D311yescharacteristic
123C23×Dic3—32no—
124C23×Dic3—32no—
125C23×Dic3—32no—
126C23×Dic3—62no—
127C22×C4×D3—32no—
128C22×C4×D3C2×D311yescharacteristic
129C22×Dic6—32no—
130C22×Dic6—32no—
131C22×Dic6C2×D311yescharacteristic
132C3×C22⋊Q8—38no—
133C3×C4×D4—38no—
134C2×C3×C4⋊C4—32no—
135C2×C3×C4⋊C4—31no—
136C2×C3×C4⋊C4—31no—
137C2×C3×C22⋊C4—31no—
138C2×C3×C22⋊C4—32no—
139C2×C3×C22⋊C4—31no—
140C2×C3×C42—31no—
141C2×#217—32no—
142C2×#217C2×D311yescharacteristic
143C2×#217C2×D312yes—
144#946—38no—
145Q8×Dic3—38no—
146D4×Dic3—316no—
147C4×#67C2×D318yes—
148C2×(C2×D3)⋊C4—32no—
149C2×(C2×D3)⋊C4C2×D311yescharacteristic
150C2×C4⋊Dic3—38no—
151C2×C4⋊Dic3—31no—
152C2×C4⋊Dic3—31no—
153C2×C4⋊Dic3—32no—
154C2×C4⋊Dic3—31no—
155C2×C4⋊Dic3—32no—
156C2×C4⋊Dic3—31no—
157C2×C4⋊Dic3—38no—
158C2×C4⋊Dic3—32no—
159C2×C4⋊Dic3—32no—
160C2×C4⋊Dic3—32no—
161C2×C4⋊Dic3—38no—
162C2×C4⋊Dic3—61no—
163C2×C4⋊Dic3—62no—
164C2×C4⋊Dic3—61no—
165C2×C4⋊Dic3—68no—
166C2×C4⋊Dic3C2×D311yescharacteristic
167#924—38no—
168#924C2×D318yescomplemented
169C2×Dic3⋊C4—32no—
170C2×Dic3⋊C4—32no—
171C2×Dic3⋊C4—32no—
172C2×Dic3⋊C4—32no—
173C2×Dic3⋊C4—32no—
174C2×Dic3⋊C4C2×D312yes—
175C2×Dic3⋊C4C2×D311yescharacteristic
176C2×C4×Dic3—32no—
177C2×C4×Dic3—32no—
178C2×C4×Dic3C2×D311yescharacteristic
179#897—316no—
180D3×C4⋊C4—38no—
181#890—316no—
182#889—316no—
183#888—38no—
184#67⋊C4—316no—
185#878—316no—
186#878—316no—
187#878—316no—
188#869—38no—
189C4×Dic6—38no—
190C23×C32—22no—
191C23×C32—22no—
192C23×C32C2×Q814yes—
193C23×C32C2412yes—
194C23×C32C2411yescharacteristic
195C22×C3×D3—22no—
196C22×C3×D3—22no—
197C22×C3×D3C2×Q814yes—
198C22×C3×D3C2412yes—
199C2×C32×C4—22no—
200C2×C32×C4—28no—
201C2×C32×C4#4114yes—
202C2×C32×C4C2412yes—
203C2×C32×C4C2412yes—
204C2×C3⋊Dic3—24no—
205C2×C3⋊Dic3—24no—
206C2×C3⋊Dic3—48no—
207C2×C3⋊Dic3C2414yes—
208C2×C3⋊Dic3C2414yes—
209C3×#67C2×Q8116yescomplemented
210C2×C3×Dic3—24no—
211C2×C3×Dic3—22no—
212C2×C3×Dic3—24no—
213C2×C3×Dic3—22no—
214C2×C3×Dic3C2×Q814yes—
215C2×C3×Dic3C2414yes—
216C2×C3×Dic3C2412yes—
217C2×C3×Dic3C2412yes—
218C2×C3×Dic3C2414yes—
219C2×C3×Dic3C2412yes—
220C3×C4×D3—28no—
221C3×Dic6—28no—
222#627—48no—
223D3×Dic3—48no—
224#554—916no—
225C2×C4⋊Q8—91no—
226C2×#125—92no—
227C2×C22⋊Q8—31no—
228C2×C22⋊Q8—92no—
229C2×C22⋊Q8—92no—
230C2×C22⋊Q8—91no—
231C2×C4×Q8—91no—
232C2×C4×D4—31no—
233C2×C4×D4—92no—
234C22×C4⋊C4—91no—
235C22×C4⋊C4—91no—
236C24×C3—21no—
237C24×C3—31no—
238C24×C3C22×D311yescharacteristic
239C24×C3C22×D311yescharacteristic
240C23×D3C22×D311yescharacteristic
241C2×C3×Q8—34no—
242C2×C3×Q8—64no—
243C2×C3×D4—38no—
244C2×C3×D4—34no—
245C22×C3×C4—28no—
246C22×C3×C4—24no—
247C22×C3×C4—24no—
248C22×C3×C4—24no—
249C22×C3×C4—21no—
250C22×C3×C4—21no—
251C22×C3×C4—31no—
252C22×C3×C4—32no—
253C22×C3×C4—31no—
254C22×C3×C4—31no—
255C22×C3×C4—32no—
256C22×C3×C4—34no—
257C22×C3×C4—64no—
258C22×C3×C4C22×D311yescharacteristic
259C22×C3×C4C22×D311yescharacteristic
260C22×C3×C4C22×D314yes—
261C22×C3×C4C22×D314yes—
262C22×C3×C4C22×D311yescharacteristic
263C22×C3×C4C22×D311yescharacteristic
264C2×#67Dic618yescomplemented
265C2×#67C22×D314yes—
266C22×Dic3—32no—
267C22×Dic3—32no—
268C22×Dic3—32no—
269C22×Dic3—32no—
270C22×Dic3—38no—
271C22×Dic3—38no—
272C22×Dic3—38no—
273C22×Dic3—62no—
274C22×Dic3—62no—
275C22×Dic3—68no—
276C22×Dic3—124no—
277C22×Dic3—124no—
278C22×Dic3—124no—
279C22×Dic3—128no—
280C22×Dic3C22×D312yes—
281C22×Dic3C22×D311yescharacteristic
282C22×Dic3C22×D311yescharacteristic
283C22×Dic3C22×D312yes—
284C22×Dic3C22×D311yescharacteristic
285C2×C4×D3—24no—
286C2×C4×D3—38no—
287C2×C4×D3—124no—
288C2×C4×D3C22×D314yes—
289C2×Dic6—24no—
290C2×Dic6—38no—
291C2×Dic6—38no—
292C2×Dic6—124no—
293C2×Dic6—124no—
294C2×Dic6C22×D314yes—
295C3×C4⋊C4—34no—
296C3×C4⋊C4—38no—
297C3×C4⋊C4—34no—
298C3×C22⋊C4—34no—
299C3×C22⋊C4—38no—
300C3×C22⋊C4—34no—
301C3×C42—34no—
302#217—38no—
303#217C22×D314yes—
304#217C22×D318yes—
305(C2×D3)⋊C4—38no—
306(C2×D3)⋊C4C22×D314yes—
307C4⋊Dic3—34no—
308C4⋊Dic3—34no—
309C4⋊Dic3—38no—
310C4⋊Dic3—34no—
311C4⋊Dic3—38no—
312C4⋊Dic3—34no—
313C4⋊Dic3—38no—
314C4⋊Dic3—38no—
315C4⋊Dic3—38no—
316C4⋊Dic3—64no—
317C4⋊Dic3—68no—
318C4⋊Dic3—64no—
319C4⋊Dic3C22×D314yes—
320Dic3⋊C4—38no—
321Dic3⋊C4—38no—
322Dic3⋊C4—38no—
323Dic3⋊C4—38no—
324Dic3⋊C4—38no—
325Dic3⋊C4C22×D318yes—
326Dic3⋊C4C22×D314yes—
327C4×Dic3—38no—
328C4×Dic3—38no—
329C4×Dic3C22×D314yes—
330C22×C32—28no—
331C22×C32—22no—
332C22×C32—22no—
333C22×C32C22×Q814yes—
334C22×C32C22×Q812yes—
335C22×C32C2×#4112yes—
336C22×C32H(5,𝔽2)12yes—
337C22×C32C2511yescharacteristic
338C2×C3×D3—28no—
339C2×C3×D3—22no—
340C2×C3×D3—22no—
341C2×C3×D3C22×Q814yes—
342C32×C4—22no—
343C32×C4C2×#4114yes—
344C3⋊Dic3—24no—
345C3⋊Dic3—24no—
346C3×Dic3—24no—
347C3×Dic3—22no—
348C3×Dic3—24no—
349C3×Dic3—22no—
350C3×Dic3C22×Q814yes—
351C22×Q8—31no—
352C22×Q8—92no—
353C22×D4—31no—
354C23×C4—31no—
355C23×C4—92no—
356C23×C4—92no—
357C23×C4D3211yescharacteristic
358C4⋊Q8—98no—
359#125—916no—
360C22⋊Q8—38no—
361C22⋊Q8—916no—
362C22⋊Q8—916no—
363C22⋊Q8—98no—
364C4×Q8—98no—
365C4×D4—38no—
366C4×D4—916no—
367C2×C4⋊C4—31no—
368C2×C4⋊C4—31no—
369C2×C4⋊C4—32no—
370C2×C4⋊C4—98no—
371C2×C4⋊C4—92no—
372C2×C4⋊C4—92no—
373C2×C4⋊C4—92no—
374C2×C4⋊C4—92no—
375C2×C4⋊C4—91no—
376C2×C4⋊C4—92no—
377C2×C4⋊C4—91no—
378C2×C4⋊C4—98no—
379C2×C22⋊C4—31no—
380C2×C22⋊C4—32no—
381C2×C22⋊C4—31no—
382C2×C22⋊C4—92no—
383C2×C42—31no—
384C2×C42—92no—
385C23×C3—24no—
386C23×C3—24no—
387C23×C3—22no—
388C23×C3—22no—
389C23×C3—22no—
390C23×C3—22no—
391C23×C3—22no—
392C23×C3—21no—
393C23×C3—24no—
394C23×C3—34no—
395C23×C3—32no—
396C23×C3—62no—
397C23×C3—62no—
398C23×C3C2×Dic614yes—
399C23×C3D3×Q814yes—
400C23×C3C23×D312yes—
401C23×C3C23×D312yes—
402C23×C3C23×D311yescharacteristic
403C23×C3C23×D311yescharacteristic
404C22×D3—22no—
405C22×D3—22no—
406C22×D3C2×Dic614yes—
407C22×D3C23×D312yes—
408C3×Q8—68no—
409C3×D4—316no—
410C2×C3×C4—24no—
411C2×C3×C4—216no—
412C2×C3×C4—22no—
413C2×C3×C4—22no—
414C2×C3×C4—28no—
415C2×C3×C4—28no—
416C2×C3×C4—22no—
417C2×C3×C4—22no—
418C2×C3×C4—24no—
419C2×C3×C4—34no—
420C2×C3×C4—32no—
421C2×C3×C4—34no—
422C2×C3×C4—32no—
423C2×C3×C4—32no—
424C2×C3×C4—34no—
425C2×C3×C4—62no—
426C2×C3×C4—64no—
427C2×C3×C4—62no—
428C2×C3×C4—64no—
429C2×C3×C4—68no—
430C2×C3×C4#23714yes—
431C2×C3×C4#23714yes—
432C2×C3×C4C23×D312yes—
433C2×C3×C4C23×D312yes—
434C2×C3×C4C23×D312yes—
435C2×C3×C4C23×D312yes—
436#67C2×Dic6116yescomplemented
437C2×Dic3—24no—
438C2×Dic3—22no—
439C2×Dic3—22no—
440C2×Dic3—24no—
441C2×Dic3—34no—
442C2×Dic3—34no—
443C2×Dic3—34no—
444C2×Dic3—34no—
445C2×Dic3—64no—
446C2×Dic3—64no—
447C2×Dic3—64no—
448C2×Dic3—64no—
449C2×Dic3—64no—
450C2×Dic3—64no—
451C2×Dic3—124no—
452C2×Dic3—124no—
453C2×Dic3—128no—
454C2×Dic3—128no—
455C2×Dic3—128no—
456C2×Dic3—1216no—
457C2×Dic3C2×Dic614yes—
458C2×Dic3C23×D314yes—
459C2×Dic3C23×D312yes—
460C2×Dic3C23×D312yes—
461C2×Dic3C23×D314yes—
462C2×Dic3C23×D312yes—
463C4×D3—28no—
464C4×D3—128no—
465Dic6—28no—
466Dic6—128no—
467Dic6—128no—
468C2×C32—24no—
469C2×C32#55414yescomplemented
470C2×C32C23×Q811yescharacteristic
471C2×C32C22×#4111yescharacteristic
472C2×C32C2×H(5,𝔽2)11yescharacteristic
473C3×D3—24no—
474C24—31no—
475C24C2×D3211yescharacteristic
476C2×Q8—34no—
477C2×Q8—64no—
478C2×Q8—98no—
479C2×Q8—364no—
480C2×D4—34no—
481C2×D4—38no—
482C22×C4—24no—
483C22×C4—31no—
484C22×C4—31no—
485C22×C4—32no—
486C22×C4—32no—
487C22×C4—31no—
488C22×C4—34no—
489C22×C4—64no—
490C22×C4—98no—
491C22×C4—92no—
492C22×C4—92no—
493C22×C4—98no—
494C22×C4—364no—
495C22×C4—364no—
496C22×C4C2×D3214yes—
497C22×C4C2×D3211yescharacteristic
498C22×C4C2×D3211yescharacteristic
499C4⋊C4—34no—
500C4⋊C4—34no—
501C4⋊C4—38no—
502C4⋊C4—98no—
503C4⋊C4—98no—
504C4⋊C4—98no—
505C4⋊C4—98no—
506C4⋊C4—94no—
507C4⋊C4—98no—
508C4⋊C4—94no—
509C22⋊C4—34no—
510C22⋊C4—38no—
511C22⋊C4—34no—
512C22⋊C4—98no—
513C42—34no—
514C42—98no—
515C22×C3—24no—
516C22×C3—24no—
517C22×C3—216no—
518C22×C3—28no—
519C22×C3—22no—
520C22×C3—22no—
521C22×C3—22no—
522C22×C3—22no—
523C22×C3—28no—
524C22×C3—24no—
525C22×C3—22no—
526C22×C3—22no—
527C22×C3—22no—
528C22×C3—21no—
529C22×C3—34no—
530C22×C3—68no—
531C22×C3—62no—
532C22×C3—62no—
533C22×C3C22×Dic614yes—
534C22×C3C22×Dic612yes—
535C22×C3C2×#23712yes—
536C22×C3C2×#23712yes—
537C22×C3C2×D3×Q814yes—
538C22×C3C2×D3×Q812yes—
539C22×C3#100912yes—
540C22×C3#100912yes—
541C22×C3C24×D311yescharacteristic
542C22×C3C24×D311yescharacteristic
543C2×D3—22no—
544C2×D3—22no—
545C2×D3—28no—
546C2×D3C22×Dic614yes—
547C3×C4—24no—
548C3×C4—22no—
549C3×C4—22no—
550C3×C4—24no—
551C3×C4—34no—
552C3×C4—62no—
553C3×C4—64no—
554C3×C4—62no—
555C3×C4—64no—
556C3×C4C2×#23714yes—
557C3×C4C2×#23714yes—
558Dic3—24no—
559Dic3—22no—
560Dic3—22no—
561Dic3—24no—
562Dic3—64no—
563Dic3—64no—
564Dic3—64no—
565Dic3—64no—
566Dic3—124no—
567Dic3—124no—
568Dic3C22×Dic614yes—
569C32C2×#55411yescharacteristic, complemented, Sylow
570C23—22no—
571C23—22no—
572C23—34no—
573C23—32no—
574C23—62no—
575C23—62no—
576C23D3×Dic614yes—
577C23C22×D3212yes—
578C23C22×D3211yescharacteristic
579Q8—68no—
580Q8—368no—
581D4—316no—
582C2×C4—22no—
583C2×C4—28no—
584C2×C4—34no—
585C2×C4—32no—
586C2×C4—32no—
587C2×C4—34no—
588C2×C4—34no—
589C2×C4—32no—
590C2×C4—64no—
591C2×C4—62no—
592C2×C4—62no—
593C2×C4—64no—
594C2×C4—68no—
595C2×C4—94no—
596C2×C4—94no—
597C2×C4—184no—
598C2×C4—184no—
599C2×C4—368no—
600C2×C4—368no—
601C2×C4#380514yes—
602C2×C4C22×D3212yes—
603C2×C4C22×D3212yes—
604C2×C3—28no—
605C2×C3—24no—
606C2×C3—24no—
607C2×C3—21no—
608C2×C3—21no—
609C2×C3—21no—
610C2×C3—24no—
611C2×C3—64no—
612C2×C3#554314yescomplemented
613C2×C3#563514yescomplemented
614C2×C3C23×Dic611yescharacteristic
615C2×C3C22×#23711yescharacteristic
616C2×C3C22×#23711yescharacteristic
617C2×C3C22×D3×Q811yescharacteristic
618C2×C3C2×#100911yescharacteristic
619C2×C3C2×#100911yescharacteristic
620D3—24no—
621C22—22no—
622C22—22no—
623C22—28no—
624C22—34no—
625C22—62no—
626C22—62no—
627C22—68no—
628C22C2×D3×Dic614yes—
629C22C2×D3×Dic612yes—
630C22#6430812yes—
631C22C2×#380512yes—
632C22C23×D3211yescharacteristic
633C4—22no—
634C4—34no—
635C4—64no—
636C4—62no—
637C4—62no—
638C4—64no—
639C4—184no—
640C4—184no—
641C4C2×#380514yes—
642C3—21no—
643C3C2×#554311yescharacteristic, complemented
644C3C2×#563511yescharacteristic, complemented
645C2—24no—
646C2—64no—
647C2#1059499314yesdirect product factor
648C2C22×D3×Dic611yescharacteristic
649C2C2×#6430811yescharacteristic
650C2C22×#380511yescharacteristic
subgroupG/H
centerC23C22×D32
commutator, cosocleC22×C32C25
FrattiniC22C23×D32
FittingC23×C32×C4C22
socleC23×C32C24
prime radicalC22×C3×#67C22
hypercenterC23×C4D32
hypocenterC32C2×#554
LCSG ▷ C22×C32 ▷ C32
UCSC1 ◁ C23 ◁ C23×C4

Complements

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

NH ≅ G/Ntype
1. C22×C4⋊(C3⋊Dic3)C2semidirect
3. C2×C3×#924C2semidirect
4. C2×#63982C2semidirect
6. C2×#63918C2semidirect
7. #10594993C2direct (N × H)
8. C2×#63893C2semidirect
9. C2×D3×C4⋊Dic3C2semidirect
10. C2×#63856C2semidirect
11. C2×#63845C2semidirect
12. C2×Dic3×Dic6C2semidirect
25. C2×C4⋊(C3⋊Dic3)C22semidirect
31. C3×#924C22semidirect
35. #63982C22semidirect
43. #63918C22semidirect
44. #63893C22semidirect
45. D3×C4⋊Dic3C22semidirect
46. #63856C22semidirect
47. #63845C22semidirect
48. Dic3×Dic6C22semidirect
60. C2×#924D3semidirect
84. C2×C3×#67Q8semidirect
168. #924C2×D3semidirect
209. C3×#67C2×Q8semidirect
264. C2×#67Dic6semidirect
436. #67C2×Dic6semidirect
469. C2×C32#554semidirect
569. C32C2×#554semidirect
612. C2×C3#5543semidirect
613. C2×C3#5635semidirect
643. C3C2×#5543semidirect
644. C3C2×#5635semidirect
647. C2#10594993direct (N × H)

Maximal subgroups

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

subgroupindex
C22×C4⋊(C3⋊Dic3)2
C2×C3×C4×#672
C2×C3×#9242
C2×#639822
C2×#67⋊Dic32
C2×#639182
#105949932
C2×#638932
C2×D3×C4⋊Dic32
C2×#638562
C2×#638452
C2×Dic3×Dic62
C2×#56353
C2×#55433