Finite Group Databasebeta

← C2×#11724623 #13181677

Subgroups — C2×#11724623 #13181677

Order 1728.

4282 conjugacy classes of subgroups.

The subgroup lattice has 708 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C3×#3830C211yesmaximal, characteristic, complemented
2C2×C3×D4×C3⋊D3C212yesmaximal, complemented
3C2×#89049C214yesmaximal, complemented
4C22×#6295C212yesmaximal, complemented
5C2×#89046C212yesmaximal, complemented
6#11724623C2116yesmaximal, direct product factor
7C2×C4⋊#1113C211yesmaximal, characteristic, complemented
8C2×#89042C211yesmaximal, characteristic, complemented
9C2×#89041C212yesmaximal, complemented
10C2×#64314—32nomaximal
11C2×#64313—31nomaximal
12C23×C3×C3⋊D3C2214yescomplemented
13C22×#1113C2212yescomplemented
14C2×C33×D4C2211yescharacteristic, complemented
15C2×C3×#638C2214yescomplemented
16C2×C3×#638C2212yescomplemented
17C22×C3×C3⋊Dic3C2212yescomplemented
18C3×#3830C2218yescomplemented
19C3×D4×C3⋊D3C22116yescomplemented
20C2×C3×C4⋊(C3⋊D3)C2212yescomplemented
21C2×C3×C4×C3⋊D3C2212yescomplemented
22C2×C3×C4×C3⋊D3C2211yescharacteristic, complemented
23C2×C3×#634C2211yescharacteristic, complemented
24#89049C22132yescomplemented
25C2×#6296C2211yescharacteristic, complemented
26C2×#6295C2214yescomplemented
27C2×#6295C2211yescharacteristic, complemented
28C2×#6295C2212yescomplemented
29C2×#6295C2212yescomplemented
30C2×#6295C22116yescomplemented
31#89046C22116yescomplemented
32C2×#6294C2214yescomplemented
33C4⋊#1113C2218yescomplemented
34#89042C2218yescomplemented
35#89041C22116yescomplemented
36C2×#3830D311yescharacteristic, complemented
37C2×D4×C3⋊D3D312yescomplemented
38C2×C3×#237—32no—
39C2×C3×#237—61no—
40C2×C3×D3×D4—32no—
41C2×C3×D3×D4—32no—
42C2×C3×D3×D4—62no—
43C2×#3811—34no—
44C2×D3×#67—34no—
45C2×D3×#67—34no—
46C22×#626—34no—
47C22×#625—32no—
48C2×#3805—32no—
49C2×#3804—34no—
50#64314—332no—
51#64313—316no—
52C2×#3802—31no—
53C2×D3×D12—32no—
54C2×#3799—32no—
55C2×#3798—31no—
56C2×#3798—32no—
57C2×#3796—32no—
58C2×#3795—32no—
59C23×C33C2312yes—
60C22×C3×C3⋊D3—48no—
61C22×C3×C3⋊D3C2311yescharacteristic
62C22×C3×C3⋊D3C2314yes—
63C22×C3×C3⋊D3C2312yes—
64C22×C3×C3⋊D3C23116yescomplemented
65C2×#1113—44no—
66C2×#1113C2318yescomplemented
67C33×D4C2314yescomplemented
68C2×C33×C4C2311yescharacteristic
69C3×#638C23116yescomplemented
70C3×#638C2318yescomplemented
71C2×C3×C3⋊Dic3C2312yes—
72C2×C3×C3⋊Dic3C2312yes—
73C2×C3×C3⋊Dic3C2311yescharacteristic
74C2×C3×C3⋊Dic3C2318yescomplemented
75C3×C4⋊(C3⋊D3)C2318yescomplemented
76C3×C4×C3⋊D3C2318yescomplemented
77C3×C4×C3⋊D3C2314yescomplemented
78C3×#634C2314yescomplemented
79#6296C2314yescomplemented
80#6295C23116yescomplemented
81#6295C2314yescomplemented
82#6295C2318yescomplemented
83#6295C2318yescomplemented
84#6294C23116yescomplemented
85C2×#1009—91no—
86C2×#1004—92no—
87C23×C3⋊D3C2×D314yescomplemented
88C23×C3×D3—34no—
89C23×C3×D3—34no—
90C23×C3×D3—64no—
91C22×D32—34no—
92C22×D32—32no—
93C2×C32×D4—22no—
94C2×C32×D4—21no—
95C2×C32×D4—41no—
96C2×C32×D4C2×D311yescharacteristic, complemented
97C2×C32×D4C2×D312yescomplemented
98C2×#638C2×D314yescomplemented
99C2×#638C2×D312yescomplemented
100C22×C3⋊Dic3C2×D312yescomplemented
101#3830C2×D318yescomplemented
102D4×C3⋊D3C2×D3116yescomplemented
103C2×C4⋊(C3⋊D3)C2×D312yescomplemented
104C2×C4×C3⋊D3C2×D312yescomplemented
105C2×C4×C3⋊D3C2×D311yescharacteristic, complemented
106C2×#634C2×D311yescharacteristic, complemented
107C2×C3×#67—34no—
108C2×C3×#67—34no—
109C2×C3×#67—34no—
110C2×C3×#67—64no—
111C2×C3×#67—62no—
112C22×C3×Dic3—34no—
113C22×C3×Dic3—62no—
114C3×#237—316no—
115C3×#237—68no—
116C3×D3×D4—316no—
117C3×D3×D4—316no—
118C3×D3×D4—616no—
119C2×C3×D12—32no—
120C2×C3×D12—32no—
121C2×C3×D12—62no—
122C2×C3×C4×D3—32no—
123C2×C3×C4×D3—32no—
124C2×C3×C4×D3—32no—
125C2×C3×C4×D3—62no—
126C2×C3×C4×D3—61no—
127C2×C3×Dic6—32no—
128C2×C3×Dic6—61no—
129#3811—332no—
130D3×#67—332no—
131D3×#67—332no—
132C2×#627—32no—
133C2×#627—31no—
134C2×#626—34no—
135C2×#626—32no—
136C2×#626—32no—
137C2×#626—32no—
138C2×#626—34no—
139C2×#626—34no—
140C2×#626—332no—
141C2×#625—34no—
142C2×#625—31no—
143C2×#625—32no—
144C2×#625—32no—
145C2×#625—316no—
146C2×#624—34no—
147#3805—316no—
148#3804—332no—
149C2×D3×Dic3—34no—
150C2×D3×Dic3—34no—
151#3802—38no—
152D3×D12—316no—
153#3799—316no—
154#3798—38no—
155#3798—316no—
156#3796—316no—
157#3795—316no—
158C22×C33—24no—
159C22×C33C2414yes—
160C22×C33C2411yescharacteristic
161C2×C3×C3⋊D3—24no—
162C2×C3×C3⋊D3—22no—
163C2×C3×C3⋊D3—28no—
164C2×C3×C3⋊D3—416no—
165C2×C3×C3⋊D3C2418yes—
166C2×C3×C3⋊D3C2414yes—
167C2×C3×C3⋊D3C2412yes—
168#1113—48no—
169C33×C4C2412yes—
170C3×C3⋊Dic3C2414yes—
171C3×C3⋊Dic3C2414yes—
172C3×C3⋊Dic3C2412yes—
173C2×C3×#41—91no—
174C22×C3×D4—92no—
175C22×#67—94no—
176C22×#67—94no—
177#1009—916no—
178C2×#239—92no—
179#1004—932no—
180C2×#237—32no—
181C2×#237—61no—
182C2×#237—92no—
183C2×#237—94no—
184C2×D3×D4—32no—
185C2×D3×D4—32no—
186C2×D3×D4—62no—
187C2×D3×D4—92no—
188C2×D3×D4—94no—
189C2×D3×D4—94no—
190C2×#235—92no—
191C2×#235—92no—
192C2×#235—91no—
193C2×#235—92no—
194C22×D12—91no—
195C22×D12—92no—
196C23×C32—24no—
197C23×C32—22no—
198C23×C32—42no—
199C23×C32C22×D312yes—
200C23×C32C22×D314yes—
201C22×C3⋊D3—48no—
202C22×C3⋊D3C22×D311yescharacteristic
203C22×C3⋊D3C22×D314yes—
204C22×C3⋊D3C22×D312yes—
205C22×C3⋊D3C22×D3116yescomplemented
206C22×C3×D3—32no—
207C22×C3×D3—34no—
208C22×C3×D3—34no—
209C22×C3×D3—32no—
210C22×C3×D3—32no—
211C22×C3×D3—316no—
212C22×C3×D3—316no—
213C22×C3×D3—62no—
214C22×C3×D3—64no—
215C22×C3×D3—616no—
216C22×C3×D3—61no—
217C22×C3×D3—128no—
218C22×C3×D3—128no—
219C22×C3×D3—1216no—
220C2×D32—316no—
221C2×D32—38no—
222C2×D32—128no—
223C2×D32—124no—
224C32×D4—28no—
225C32×D4—24no—
226C32×D4—44no—
227C32×D4C22×D314yescomplemented
228C32×D4C22×D318yescomplemented
229C2×C32×C4—21no—
230C2×C32×C4—22no—
231C2×C32×C4—41no—
232C2×C32×C4C22×D312yes—
233C2×C32×C4C22×D311yescharacteristic
234#638C22×D3116yescomplemented
235#638C22×D318yescomplemented
236C2×C3⋊Dic3C22×D312yes—
237C2×C3⋊Dic3C22×D312yes—
238C2×C3⋊Dic3C22×D311yescharacteristic
239C2×C3⋊Dic3C22×D318yescomplemented
240C4⋊(C3⋊D3)C22×D318yescomplemented
241C4×C3⋊D3C22×D318yescomplemented
242C4×C3⋊D3C22×D314yescomplemented
243#634C22×D314yescomplemented
244C3×#67—316no—
245C3×#67—316no—
246C3×#67—316no—
247C3×#67—616no—
248C3×#67—68no—
249C2×C3×Dic3—32no—
250C2×C3×Dic3—34no—
251C2×C3×Dic3—32no—
252C2×C3×Dic3—32no—
253C2×C3×Dic3—316no—
254C2×C3×Dic3—62no—
255C2×C3×Dic3—61no—
256C2×C3×Dic3—62no—
257C2×C3×Dic3—68no—
258C3×D12—38no—
259C3×D12—38no—
260C3×D12—68no—
261C3×C4×D3—38no—
262C3×C4×D3—38no—
263C3×C4×D3—38no—
264C3×C4×D3—68no—
265C3×C4×D3—64no—
266C3×Dic6—38no—
267C3×Dic6—64no—
268#627—38no—
269#627—34no—
270#626—316no—
271#626—38no—
272#626—38no—
273#626—38no—
274#626—316no—
275#626—316no—
276#625—316no—
277#625—34no—
278#625—38no—
279#625—38no—
280#624—316no—
281D3×Dic3—316no—
282D3×Dic3—316no—
283C2×H(5,𝔽2)—271noSylow
284C2×C33—24no—
285C2×C33H(5,𝔽2)12yescomplemented
286C2×C33C2511yescharacteristic
287C3×C3⋊D3—24no—
288C3×C3⋊D3—22no—
289C3×C3⋊D3—28no—
290C24×C3—94no—
291C23×D3—34no—
292C23×D3—34no—
293C23×D3—64no—
294C23×D3—92no—
295C23×D3—94no—
296C3×#41—98no—
297C2×C3×Q8—91no—
298C2×C3×D4—22no—
299C2×C3×D4—21no—
300C2×C3×D4—41no—
301C2×C3×D4—92no—
302C2×C3×D4—94no—
303C2×C3×D4—916no—
304C2×C3×D4—92no—
305C2×C3×D4D3211yescharacteristic, complemented
306C2×C3×D4D3212yescomplemented
307C22×C3×C4—92no—
308C22×C3×C4—91no—
309C22×C3×C4—92no—
310C2×#67—34no—
311C2×#67—34no—
312C2×#67—34no—
313C2×#67—64no—
314C2×#67—62no—
315C2×#67—92no—
316C2×#67—94no—
317C2×#67—92no—
318C2×#67—92no—
319C2×#67—94no—
320C2×#67—94no—
321C2×#67—932no—
322C2×#67—932no—
323C22×Dic3—34no—
324C22×Dic3—62no—
325C22×Dic3—94no—
326#239—916no—
327#237—316no—
328#237—68no—
329#237—916no—
330#237—932no—
331D3×D4—316no—
332D3×D4—316no—
333D3×D4—616no—
334D3×D4—916no—
335D3×D4—932no—
336D3×D4—932no—
337#235—916no—
338#235—916no—
339#235—98no—
340#235—916no—
341C2×D12—32no—
342C2×D12—32no—
343C2×D12—62no—
344C2×D12—98no—
345C2×D12—91no—
346C2×D12—92no—
347C2×D12—94no—
348C2×D12—916no—
349C2×D12—92no—
350C2×C4×D3—32no—
351C2×C4×D3—32no—
352C2×C4×D3—32no—
353C2×C4×D3—62no—
354C2×C4×D3—61no—
355C2×C4×D3—94no—
356C2×C4×D3—94no—
357C2×Dic6—32no—
358C2×Dic6—61no—
359C2×Dic6—91no—
360C2×Dic6—92no—
361C22×C32—28no—
362C22×C32—24no—
363C22×C32—21no—
364C22×C32—22no—
365C22×C32—24no—
366C22×C32—28no—
367C22×C32—41no—
368C22×C32—44no—
369C22×C32—48no—
370C22×C32—44no—
371C22×C32—84no—
372C22×C32C23×D318yes—
373C22×C32C23×D314yes—
374C22×C32C23×D312yes—
375C22×C32C23×D311yescharacteristic
376C2×C3⋊D3—24no—
377C2×C3⋊D3—28no—
378C2×C3⋊D3—22no—
379C2×C3⋊D3—416no—
380C2×C3⋊D3C23×D318yes—
381C2×C3⋊D3C23×D314yes—
382C2×C3⋊D3C23×D312yes—
383C2×C3×D3—38no—
384C2×C3×D3—38no—
385C2×C3×D3—34no—
386C2×C3×D3—34no—
387C2×C3×D3—34no—
388C2×C3×D3—64no—
389C2×C3×D3—62no—
390C2×C3×D3—68no—
391C2×C3×D3—68no—
392C2×C3×D3—64no—
393C2×C3×D3—68no—
394C2×C3×D3—64no—
395C2×C3×D3—68no—
396C2×C3×D3—64no—
397C2×C3×D3—122no—
398C2×C3×D3—128no—
399C2×C3×D3—1216no—
400C2×C3×D3—1216no—
401C2×C3×D3—1232no—
402D32—1216no—
403D32—128no—
404C32×C4—22no—
405C32×C4—24no—
406C32×C4—42no—
407C32×C4C23×D314yes—
408C32×C4C23×D312yes—
409C3⋊Dic3C23×D314yes—
410C3⋊Dic3C23×D314yes—
411C3⋊Dic3C23×D312yes—
412C3×Dic3—34no—
413C3×Dic3—38no—
414C3×Dic3—34no—
415C3×Dic3—34no—
416C3×Dic3—64no—
417C3×Dic3—62no—
418C3×Dic3—64no—
419H(5,𝔽2)—2716no—
420C2×#41—91no—
421C2×#41—271no—
422C2×#41—272no—
423C2×#41—272no—
424C22×D4—92no—
425C22×D4—271no—
426C22×D4—272no—
427C22×D4—274no—
428C33C2×H(5,𝔽2)11yescharacteristic, complemented, Sylow
429C23×C3—22no—
430C23×C3—24no—
431C23×C3—42no—
432C23×C3—94no—
433C23×C3—92no—
434C23×C3—91no—
435C23×C3—916no—
436C23×C3—368no—
437C23×C3C2×D3214yes—
438C23×C3C2×D3212yes—
439C22×D3—32no—
440C22×D3—32no—
441C22×D3—32no—
442C22×D3—34no—
443C22×D3—34no—
444C22×D3—316no—
445C22×D3—316no—
446C22×D3—62no—
447C22×D3—61no—
448C22×D3—64no—
449C22×D3—616no—
450C22×D3—98no—
451C22×D3—916no—
452C22×D3—128no—
453C22×D3—128no—
454C22×D3—1216no—
455C22×D3—364no—
456C22×D3—368no—
457C3×Q8—94no—
458C3×D4—28no—
459C3×D4—24no—
460C3×D4—44no—
461C3×D4—98no—
462C3×D4—916no—
463C3×D4—98no—
464C3×D4C2×D3214yescomplemented
465C3×D4C2×D3218yescomplemented
466C2×C3×C4—21no—
467C2×C3×C4—22no—
468C2×C3×C4—41no—
469C2×C3×C4—92no—
470C2×C3×C4—91no—
471C2×C3×C4—92no—
472C2×C3×C4—98no—
473C2×C3×C4—94no—
474C2×C3×C4—98no—
475C2×C3×C4C2×D3212yes—
476C2×C3×C4C2×D3211yescharacteristic
477#67—316no—
478#67—316no—
479#67—316no—
480#67—616no—
481#67—68no—
482#67—98no—
483#67—916no—
484#67—98no—
485#67—98no—
486#67—916no—
487#67—916no—
488C2×Dic3—34no—
489C2×Dic3—32no—
490C2×Dic3—32no—
491C2×Dic3—32no—
492C2×Dic3—316no—
493C2×Dic3—62no—
494C2×Dic3—61no—
495C2×Dic3—62no—
496C2×Dic3—68no—
497C2×Dic3—916no—
498D12—38no—
499D12—38no—
500D12—68no—
501D12—94no—
502D12—98no—
503D12—916no—
504D12—98no—
505C4×D3—38no—
506C4×D3—38no—
507C4×D3—38no—
508C4×D3—68no—
509C4×D3—64no—
510C4×D3—916no—
511C4×D3—916no—
512Dic6—38no—
513Dic6—64no—
514Dic6—94no—
515Dic6—98no—
516C2×C32—28no—
517C2×C32—24no—
518C2×C32—22no—
519C2×C32—24no—
520C2×C32—21no—
521C2×C32—22no—
522C2×C32—42no—
523C2×C32—41no—
524C2×C32—48no—
525C2×C32—44no—
526C2×C32—84no—
527C2×C32#100414yescomplemented
528C2×C32#100912yescomplemented
529C2×C32C24×D312yes—
530C2×C32C24×D311yescharacteristic
531C3⋊D3—24no—
532C3⋊D3—28no—
533C3⋊D3—22no—
534C3×D3—68no—
535C3×D3—64no—
536C3×D3—68no—
537C3×D3—64no—
538C3×D3—68no—
539C3×D3—64no—
540C3×D3—122no—
541C3×D3—128no—
542C24—94no—
543C24—272no—
544#41—98no—
545#41—278no—
546#41—2716no—
547#41—2716no—
548C2×Q8—91no—
549C2×Q8—271no—
550C2×D4—94no—
551C2×D4—92no—
552C2×D4—916no—
553C2×D4—92no—
554C2×D4—278no—
555C2×D4—271no—
556C2×D4—272no—
557C2×D4—272no—
558C2×D4—274no—
559C2×D4—2716no—
560C2×D4—2732no—
561C2×D4#111311yescharacteristic, complemented
562C22×C4—92no—
563C22×C4—92no—
564C22×C4—91no—
565C22×C4—274no—
566C22×C3—24no—
567C22×C3—28no—
568C22×C3—24no—
569C22×C3—28no—
570C22×C3—21no—
571C22×C3—22no—
572C22×C3—48no—
573C22×C3—44no—
574C22×C3—44no—
575C22×C3—41no—
576C22×C3—84no—
577C22×C3—98no—
578C22×C3—94no—
579C22×C3—92no—
580C22×C3—182no—
581C22×C3—188no—
582C22×C3—184no—
583C22×C3—3616no—
584C22×C3C22×D3218yes—
585C22×C3C22×D3214yes—
586C22×C3C22×D3211yescharacteristic
587C22×C3C22×D3212yes—
588C2×D3—34no—
589C2×D3—34no—
590C2×D3—34no—
591C2×D3—38no—
592C2×D3—38no—
593C2×D3—64no—
594C2×D3—62no—
595C2×D3—68no—
596C2×D3—68no—
597C2×D3—64no—
598C2×D3—68no—
599C2×D3—64no—
600C2×D3—68no—
601C2×D3—64no—
602C2×D3—128no—
603C2×D3—122no—
604C2×D3—1216no—
605C2×D3—1216no—
606C2×D3—1232no—
607C2×D3—368no—
608C2×D3—3616no—
609C3×C4—22no—
610C3×C4—24no—
611C3×C4—42no—
612C3×C4—94no—
613C3×C4—92no—
614C3×C4—94no—
615C3×C4C22×D3214yes—
616C3×C4C22×D3212yes—
617Dic3—38no—
618Dic3—34no—
619Dic3—34no—
620Dic3—34no—
621Dic3—64no—
622Dic3—62no—
623Dic3—64no—
624C32—21no—
625C32—22no—
626C32—41no—
627C32C2×#100412yescomplemented
628C32C2×#100911yescharacteristic, complemented
629C23—91no—
630C23—92no—
631C23—94no—
632C23—916no—
633C23—278no—
634C23—368no—
635C23—1084no—
636C23C2×#111312yes—
637Q8—94no—
638Q8—274no—
639D4—916no—
640D4—98no—
641D4—98no—
642D4—274no—
643D4—278no—
644D4—278no—
645D4—2716no—
646D4C2×#111314yescomplemented
647C2×C4—98no—
648C2×C4—91no—
649C2×C4—92no—
650C2×C4—92no—
651C2×C4—98no—
652C2×C4—94no—
653C2×C4—2716no—
654C2×C4C2×#111311yescharacteristic
655C2×C3—24no—
656C2×C3—28no—
657C2×C3—24no—
658C2×C3—22no—
659C2×C3—21no—
660C2×C3—22no—
661C2×C3—48no—
662C2×C3—44no—
663C2×C3—42no—
664C2×C3—41no—
665C2×C3—84no—
666C2×C3—182no—
667C2×C3—188no—
668C2×C3—184no—
669C2×C3#6431312yescomplemented
670C2×C3#6431414yescomplemented
671C2×C3C23×D3211yescharacteristic
672C2×C3C23×D3212yes—
673D3—68no—
674D3—64no—
675D3—68no—
676D3—64no—
677D3—68no—
678D3—64no—
679D3—128no—
680D3—122no—
681C22—24no—
682C22—92no—
683C22—94no—
684C22—98no—
685C22—184no—
686C22—188no—
687C22—182no—
688C22—3616no—
689C22—1088no—
690C22C22×#111314yes—
691C22C22×#111311yescharacteristic
692C4—92no—
693C4—94no—
694C4—94no—
695C4C22×#111312yes—
696C3—22no—
697C3—21no—
698C3—41no—
699C3C2×#6431311yescharacteristic, complemented
700C3C2×#6431412yescomplemented
701C2—24no—
702C2—184no—
703C2—188no—
704C2—182no—
705C2#1172462312yesdirect product factor
706C2C23×#111311yescharacteristic
subgroupG/H
centerC22C22×#1113
commutator, cosocleC2×C33C25
FrattiniC2C23×#1113
FittingC2×C33×D4C22
socleC22×C33C24
hypercenterC2×D4#1113
hypocenterC33C2×H(5,𝔽2)
LCSG ▷ C2×C33 ▷ C33
UCSC1 ◁ C22 ◁ C2×D4

Complements

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

NH ≅ G/Ntype
1. C2×C3×#3830C2semidirect
2. C2×C3×D4×C3⋊D3C2semidirect
3. C2×#89049C2semidirect
4. C22×#6295C2semidirect
5. C2×#89046C2semidirect
6. #11724623C2direct (N × H)
7. C2×C4⋊#1113C2semidirect
8. C2×#89042C2semidirect
9. C2×#89041C2semidirect
12. C23×C3×C3⋊D3C22semidirect
13. C22×#1113C22semidirect
14. C2×C33×D4C22semidirect
15. C2×C3×#638C22semidirect
16. C2×C3×#638C22semidirect
17. C22×C3×C3⋊Dic3C22semidirect
18. C3×#3830C22semidirect
19. C3×D4×C3⋊D3C22semidirect
20. C2×C3×C4⋊(C3⋊D3)C22semidirect
21. C2×C3×C4×C3⋊D3C22semidirect
22. C2×C3×C4×C3⋊D3C22semidirect
23. C2×C3×#634C22semidirect
24. #89049C22semidirect
25. C2×#6296C22semidirect
26. C2×#6295C22semidirect
27. C2×#6295C22semidirect
28. C2×#6295C22semidirect
29. C2×#6295C22semidirect
30. C2×#6295C22semidirect
31. #89046C22semidirect
32. C2×#6294C22semidirect
33. C4⋊#1113C22semidirect
34. #89042C22semidirect
35. #89041C22semidirect
36. C2×#3830D3semidirect
37. C2×D4×C3⋊D3D3semidirect
64. C22×C3×C3⋊D3C23semidirect
66. C2×#1113C23semidirect
67. C33×D4C23semidirect
69. C3×#638C23semidirect
70. C3×#638C23semidirect
74. C2×C3×C3⋊Dic3C23semidirect
75. C3×C4⋊(C3⋊D3)C23semidirect
76. C3×C4×C3⋊D3C23semidirect
77. C3×C4×C3⋊D3C23semidirect
78. C3×#634C23semidirect
79. #6296C23semidirect
80. #6295C23semidirect
81. #6295C23semidirect
82. #6295C23semidirect
83. #6295C23semidirect
84. #6294C23semidirect
87. C23×C3⋊D3C2×D3semidirect
96. C2×C32×D4C2×D3semidirect
97. C2×C32×D4C2×D3semidirect
98. C2×#638C2×D3semidirect
99. C2×#638C2×D3semidirect
100. C22×C3⋊Dic3C2×D3semidirect
101. #3830C2×D3semidirect
102. D4×C3⋊D3C2×D3semidirect
103. C2×C4⋊(C3⋊D3)C2×D3semidirect
104. C2×C4×C3⋊D3C2×D3semidirect
105. C2×C4×C3⋊D3C2×D3semidirect
106. C2×#634C2×D3semidirect
205. C22×C3⋊D3C22×D3semidirect
227. C32×D4C22×D3semidirect
228. C32×D4C22×D3semidirect
234. #638C22×D3semidirect
235. #638C22×D3semidirect
239. C2×C3⋊Dic3C22×D3semidirect
240. C4⋊(C3⋊D3)C22×D3semidirect
241. C4×C3⋊D3C22×D3semidirect
242. C4×C3⋊D3C22×D3semidirect
243. #634C22×D3semidirect
285. C2×C33H(5,𝔽2)semidirect
305. C2×C3×D4D32semidirect
306. C2×C3×D4D32semidirect
428. C33C2×H(5,𝔽2)semidirect
464. C3×D4C2×D32semidirect
465. C3×D4C2×D32semidirect
527. C2×C32#1004semidirect
528. C2×C32#1009semidirect
561. C2×D4#1113semidirect
627. C32C2×#1004semidirect
628. C32C2×#1009semidirect
646. D4C2×#1113semidirect
669. C2×C3#64313semidirect
670. C2×C3#64314semidirect
699. C3C2×#64313semidirect
700. C3C2×#64314semidirect
705. C2#11724623direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C3×#38302
C2×C3×D4×C3⋊D32
C2×#890492
C22×#62952
C2×#890462
#117246232
C2×C4⋊#11132
C2×#890422
C2×#890412
C2×#643143
C2×#643133