Finite Group Databasebeta

← C2×#64090⋊C3 #13152361

Subgroups — C2×#64090⋊C3 #13152361

Order 1728.

1623 conjugacy classes of subgroups.

The subgroup lattice has 564 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#638⋊C3C211yesmaximal, characteristic
2C23×(C3⋊Dic3)⋊C3C211yesmaximal, characteristic, complemented
3C22×C4×(C3⋊D3)⋊C3C211yesmaximal, characteristic, complemented
4C2×C22⋊C4×H(3,𝔽3)C211yesmaximal, characteristic, complemented
5C2×#3752⋊C3C211yesmaximal, characteristic, complemented
6C2×#3750⋊C3C211yesmaximal, characteristic, complemented
7C2×C4×(C3⋊Dic3)⋊C3C211yesmaximal, characteristic, complemented
8#64090⋊C3C218yesmaximal, direct product factor
9C2×#64090C311yesmaximal, characteristic, complemented
10C2×C3×#67⋊C4—31nomaximal
11C24×H(3,𝔽3)C2211yescharacteristic
12C23×(C3⋊D3)⋊C3C2211yescharacteristic
13C22×C4×H(3,𝔽3)C2211yescharacteristic
14C22×C4×H(3,𝔽3)C2211yescharacteristic
15C2×#638⋊C3C418yescomplemented
16C2×#638⋊C3C2214yes—
17C22×(C3⋊Dic3)⋊C3—24no—
18C22×(C3⋊Dic3)⋊C3C2211yescharacteristic
19C22×(C3⋊Dic3)⋊C3C2211yescharacteristic
20C22×(C3⋊Dic3)⋊C3C2211yescharacteristic
21C22×(C3⋊Dic3)⋊C3C2214yescomplemented
22C2×C4×(C3⋊D3)⋊C3—24no—
23C2×C4×(C3⋊D3)⋊C3C2214yescomplemented
24C22⋊C4×H(3,𝔽3)C2214yescomplemented
25#3752⋊C3C2214yescomplemented
26#3750⋊C3C2214yescomplemented
27C4×(C3⋊Dic3)⋊C3C2214yescomplemented
28C22×#638C2×C311yescharacteristic
29C23×C3⋊Dic3C2×C311yescharacteristic, complemented
30C22×C4×C3⋊D3C2×C311yescharacteristic, complemented
31C22×C3×#67—31no—
32C23×C3×Dic3—31no—
33C22×C3×C4×D3—31no—
34C2×C32×C22⋊C4—21no—
35C2×C32×C22⋊C4D311yescharacteristic, complemented
36C2×C32×C22⋊C4C2×C311yescharacteristic, complemented
37C2×#3752C2×C311yescharacteristic, complemented
38C2×#3750C2×C311yescharacteristic, complemented
39C2×C4×C3⋊Dic3C2×C311yescharacteristic, complemented
40#64090C2×C318yescomplemented
41C2×C3×(C2×D3)⋊C4—31no—
42C2×C3×Dic3⋊C4—31no—
43C2×C3×C4×Dic3—31no—
44C3×#67⋊C4—38no—
45C23×H(3,𝔽3)—22no—
46C23×H(3,𝔽3)—22no—
47C23×H(3,𝔽3)C2×C414yescomplemented
48C23×H(3,𝔽3)C2312yes—
49C23×H(3,𝔽3)C2311yescharacteristic
50C22×(C3⋊D3)⋊C3—22no—
51C22×(C3⋊D3)⋊C3—22no—
52C22×(C3⋊D3)⋊C3C2×C414yescomplemented
53C22×(C3⋊D3)⋊C3C2312yes—
54C2×C4×H(3,𝔽3)—22no—
55C2×C4×H(3,𝔽3)—22no—
56C2×C4×H(3,𝔽3)C2312yes—
57C2×C4×H(3,𝔽3)C2312yes—
58#638⋊C3C2×C4116yescomplemented
59C2×(C3⋊Dic3)⋊C3—22no—
60C2×(C3⋊Dic3)⋊C3—28no—
61C2×(C3⋊Dic3)⋊C3C2×C414yescomplemented
62C2×(C3⋊Dic3)⋊C3D414yescomplemented
63C2×(C3⋊Dic3)⋊C3C2312yes—
64C2×(C3⋊Dic3)⋊C3C2312yes—
65C2×(C3⋊Dic3)⋊C3C2312yes—
66C4×(C3⋊D3)⋊C3—28no—
67C2×C3×C4×D4—91no—
68C2×#67⋊C4—31no—
69C2×#67⋊C4—91no—
70C24×C32—21no—
71C24×C32C2×D311yescharacteristic
72C24×C32C22×C311yescharacteristic
73C23×C3⋊D3C22×C311yescharacteristic
74C23×C3×D3—31no—
75C22×C32×C4—21no—
76C22×C32×C4—21no—
77C22×C32×C4C2×D311yescharacteristic
78C22×C32×C4C2×D311yescharacteristic
79C22×C32×C4C22×C311yescharacteristic
80C22×C32×C4C22×C311yescharacteristic
81C2×#638C3×C418yescomplemented
82C2×#638C22×C314yes—
83C22×C3⋊Dic3—24no—
84C22×C3⋊Dic3C22×C311yescharacteristic
85C22×C3⋊Dic3C22×C311yescharacteristic
86C22×C3⋊Dic3C22×C311yescharacteristic
87C22×C3⋊Dic3C22×C314yescomplemented
88C2×C4×C3⋊D3—24no—
89C2×C4×C3⋊D3C22×C314yescomplemented
90C2×C3×#67—38no—
91C2×C3×#67—34no—
92C22×C3×Dic3—31no—
93C22×C3×Dic3—31no—
94C22×C3×Dic3—34no—
95C22×C3×Dic3—31no—
96C22×C3×Dic3—64no—
97C2×C3×C4×D3—34no—
98C2×C3×C4×D3—64no—
99C32×C22⋊C4—24no—
100C32×C22⋊C4C2×D314yescomplemented
101C32×C22⋊C4C22×C314yescomplemented
102#3752C22×C314yescomplemented
103#3750C22×C314yescomplemented
104C4×C3⋊Dic3C22×C314yescomplemented
105C3×(C2×D3)⋊C4—34no—
106C3×Dic3⋊C4—34no—
107C3×C4×Dic3—34no—
108C22×H(3,𝔽3)—28no—
109C22×H(3,𝔽3)—22no—
110C22×H(3,𝔽3)—22no—
111C22×H(3,𝔽3)C22×C412yes—
112C22×H(3,𝔽3)C22×C414yescomplemented
113C22×H(3,𝔽3)C2×D412yes—
114C22×H(3,𝔽3)#4112yes—
115C22×H(3,𝔽3)C2411yescharacteristic
116C2×(C3⋊D3)⋊C3—28no—
117C2×(C3⋊D3)⋊C3—22no—
118C2×(C3⋊D3)⋊C3—22no—
119C2×(C3⋊D3)⋊C3C22×C414yescomplemented
120C4×H(3,𝔽3)—22no—
121C4×H(3,𝔽3)—22no—
122(C3⋊Dic3)⋊C3—22no—
123(C3⋊Dic3)⋊C3C22×C414yescomplemented
124(C3⋊Dic3)⋊C3C2×D414yescomplemented
125C22×C3×D4—91no—
126C23×C3×C4—91no—
127C23×C3×C4—91no—
128C22×#67—31no—
129C22×#67—91no—
130C23×Dic3—31no—
131C23×Dic3—91no—
132C22×C4×D3—31no—
133C22×C4×D3—91no—
134C3×C4×D4—98no—
135C2×C3×C4⋊C4—91no—
136C2×C3×C22⋊C4—31no—
137C2×C3×C22⋊C4—31no—
138C2×C3×C22⋊C4—61no—
139C2×C3×C22⋊C4—91no—
140C2×C3×C22⋊C4C3×D311yescharacteristic
141C2×C3×C42—91no—
142C2×(C2×D3)⋊C4—31no—
143C2×(C2×D3)⋊C4—91no—
144C2×Dic3⋊C4—31no—
145C2×Dic3⋊C4—91no—
146C2×C4×Dic3—31no—
147C2×C4×Dic3—91no—
148#67⋊C4—38no—
149#67⋊C4—98no—
150C23×C32—22no—
151C23×C32—22no—
152C23×C32—22no—
153C23×C32—22no—
154C23×C32—24no—
155C23×C32—21no—
156C23×C32—22no—
157C23×C32—42no—
158C23×C32—42no—
159C23×C32C4×D314yescomplemented
160C23×C32C2×C3×C414yescomplemented
161C23×C32C22×D312yes—
162C23×C32C22×D311yescharacteristic
163C23×C32C23×C312yes—
164C23×C32C23×C311yescharacteristic
165C22×C3⋊D3—22no—
166C22×C3⋊D3—22no—
167C22×C3⋊D3C2×C3×C414yescomplemented
168C22×C3⋊D3C23×C312yes—
169C22×C3×D3—34no—
170C22×C3×D3—32no—
171C22×C3×D3—62no—
172C22×C3×D3—62no—
173C2×C32×C4—22no—
174C2×C32×C4—22no—
175C2×C32×C4—22no—
176C2×C32×C4—22no—
177C2×C32×C4—22no—
178C2×C32×C4—22no—
179C2×C32×C4—42no—
180C2×C32×C4—42no—
181C2×C32×C4C22×D312yes—
182C2×C32×C4C22×D312yes—
183C2×C32×C4C23×C312yes—
184C2×C32×C4C23×C312yes—
185#638C2×C3×C4116yescomplemented
186C2×C3⋊Dic3—22no—
187C2×C3⋊Dic3—28no—
188C2×C3⋊Dic3C2×C3×C414yescomplemented
189C2×C3⋊Dic3C3×D414yescomplemented
190C2×C3⋊Dic3C23×C312yes—
191C2×C3⋊Dic3C23×C312yes—
192C2×C3⋊Dic3C23×C312yes—
193C4×C3⋊D3—28no—
194C3×#67—316no—
195C2×C3×Dic3—34no—
196C2×C3×Dic3—34no—
197C2×C3×Dic3—32no—
198C2×C3×Dic3—32no—
199C2×C3×Dic3—32no—
200C2×C3×Dic3—68no—
201C2×C3×Dic3—62no—
202C3×C4×D3—68no—
203C2×C4×D4—91noSylow
204C2×H(3,𝔽3)—24no—
205C2×H(3,𝔽3)C4×D414yescomplemented
206C2×H(3,𝔽3)C23×C411yescharacteristic
207C2×H(3,𝔽3)C22×D411yescharacteristic
208C2×H(3,𝔽3)C2×#4111yescharacteristic
209(C3⋊D3)⋊C3—24no—
210C24×C3—31no—
211C24×C3—31no—
212C24×C3—61no—
213C24×C3—91no—
214C24×C3C2×C3×D311yescharacteristic
215C23×D3—31no—
216C23×D3—91no—
217C2×C3×D4—94no—
218C2×C3×D4—98no—
219C22×C3×C4—31no—
220C22×C3×C4—31no—
221C22×C3×C4—31no—
222C22×C3×C4—31no—
223C22×C3×C4—61no—
224C22×C3×C4—61no—
225C22×C3×C4—94no—
226C22×C3×C4—91no—
227C22×C3×C4—91no—
228C22×C3×C4—91no—
229C22×C3×C4—94no—
230C22×C3×C4—184no—
231C22×C3×C4—184no—
232C22×C3×C4C2×C3×D311yescharacteristic
233C22×C3×C4C2×C3×D311yescharacteristic
234C2×#67—38no—
235C2×#67—34no—
236C2×#67—94no—
237C2×#67—98no—
238C22×Dic3—31no—
239C22×Dic3—31no—
240C22×Dic3—34no—
241C22×Dic3—31no—
242C22×Dic3—64no—
243C22×Dic3—91no—
244C22×Dic3—91no—
245C22×Dic3—94no—
246C22×Dic3—91no—
247C22×Dic3—184no—
248C2×C4×D3—34no—
249C2×C4×D3—64no—
250C2×C4×D3—94no—
251C2×C4×D3—184no—
252C3×C4⋊C4—94no—
253C3×C22⋊C4—34no—
254C3×C22⋊C4—34no—
255C3×C22⋊C4—64no—
256C3×C22⋊C4—94no—
257C3×C22⋊C4C2×C3×D314yes—
258C3×C42—94no—
259(C2×D3)⋊C4—34no—
260(C2×D3)⋊C4—94no—
261Dic3⋊C4—34no—
262Dic3⋊C4—94no—
263C4×Dic3—34no—
264C4×Dic3—94no—
265C22×C32—28no—
266C22×C32—28no—
267C22×C32—22no—
268C22×C32—22no—
269C22×C32—22no—
270C22×C32—22no—
271C22×C32—21no—
272C22×C32—22no—
273C22×C32—24no—
274C22×C32—22no—
275C22×C32—22no—
276C22×C32—48no—
277C22×C32—42no—
278C22×C32—42no—
279C22×C32C2×C4×D312yes—
280C22×C32C2×C4×D314yescomplemented
281C22×C32D3×D412yes—
282C22×C32#23712yes—
283C22×C32C22×C3×C412yes—
284C22×C32C22×C3×C414yescomplemented
285C22×C32C2×C3×D412yes—
286C22×C32C3×#4112yes—
287C22×C32C23×D311yescharacteristic
288C22×C32C24×C311yescharacteristic
289C2×C3⋊D3—28no—
290C2×C3⋊D3—22no—
291C2×C3⋊D3—22no—
292C2×C3⋊D3C22×C3×C414yescomplemented
293C2×C3×D3—34no—
294C2×C3×D3—68no—
295C2×C3×D3—62no—
296C2×C3×D3—62no—
297C32×C4—22no—
298C32×C4—22no—
299C32×C4—22no—
300C32×C4—22no—
301C32×C4—42no—
302C32×C4—42no—
303C3⋊Dic3—22no—
304C3⋊Dic3C22×C3×C414yescomplemented
305C3⋊Dic3C2×C3×D414yescomplemented
306C3×Dic3—34no—
307C3×Dic3—34no—
308C3×Dic3—62no—
309C22×D4—91no—
310C23×C4—91no—
311C23×C4—91no—
312C4×D4—98no—
313C2×C4⋊C4—91no—
314C2×C22⋊C4—91no—
315C2×C22⋊C4(C3⋊D3)⋊C311yescharacteristic, complemented
316C2×C42—91no—
317H(3,𝔽3)C2×C4×D411yescharacteristic, complemented, Sylow
318C23×C3—22no—
319C23×C3—22no—
320C23×C3—34no—
321C23×C3—34no—
322C23×C3—32no—
323C23×C3—32no—
324C23×C3—31no—
325C23×C3—31no—
326C23×C3—62no—
327C23×C3—62no—
328C23×C3—62no—
329C23×C3—62no—
330C23×C3—64no—
331C23×C3—62no—
332C23×C3—61no—
333C23×C3—92no—
334C23×C3—94no—
335C23×C3—122no—
336C23×C3—122no—
337C23×C3—182no—
338C23×C3—182no—
339C23×C3C3×C4×D314yes—
340C23×C3C22×C3×D312yes—
341C23×C3C22×C3×D311yescharacteristic
342C22×D3—32no—
343C22×D3—34no—
344C22×D3—62no—
345C22×D3—62no—
346C22×D3—94no—
347C22×D3—92no—
348C22×D3—182no—
349C22×D3—182no—
350C3×D4—916no—
351C2×C3×C4—22no—
352C2×C3×C4—22no—
353C2×C3×C4—32no—
354C2×C3×C4—32no—
355C2×C3×C4—32no—
356C2×C3×C4—32no—
357C2×C3×C4—62no—
358C2×C3×C4—62no—
359C2×C3×C4—62no—
360C2×C3×C4—62no—
361C2×C3×C4—62no—
362C2×C3×C4—62no—
363C2×C3×C4—92no—
364C2×C3×C4—92no—
365C2×C3×C4—94no—
366C2×C3×C4—94no—
367C2×C3×C4—92no—
368C2×C3×C4—122no—
369C2×C3×C4—122no—
370C2×C3×C4—188no—
371C2×C3×C4—188no—
372C2×C3×C4—182no—
373C2×C3×C4C22×C3×D312yes—
374C2×C3×C4C22×C3×D312yes—
375#67—316no—
376#67—916no—
377C2×Dic3—32no—
378C2×Dic3—32no—
379C2×Dic3—34no—
380C2×Dic3—34no—
381C2×Dic3—32no—
382C2×Dic3—68no—
383C2×Dic3—62no—
384C2×Dic3—94no—
385C2×Dic3—94no—
386C2×Dic3—92no—
387C2×Dic3—92no—
388C2×Dic3—92no—
389C2×Dic3—188no—
390C2×Dic3—182no—
391C4×D3—68no—
392C4×D3—188no—
393C2×C32—24no—
394C2×C32—24no—
395C2×C32—24no—
396C2×C32—21no—
397C2×C32—21no—
398C2×C32—21no—
399C2×C32—44no—
400C2×C32#67⋊C414yescomplemented
401C2×C32C3×C4×D414yescomplemented
402C2×C32C22×C4×D311yescharacteristic
403C2×C32C2×D3×D411yescharacteristic
404C2×C32C2×#23711yescharacteristic
405C2×C32C23×C3×C411yescharacteristic
406C2×C32C22×C3×D411yescharacteristic
407C2×C32C2×C3×#4111yescharacteristic
408C3⋊D3—24no—
409C3×D3—64no—
410C24—91no—
411C24C2×(C3⋊D3)⋊C311yescharacteristic
412C2×D4—98no—
413C2×D4—94no—
414C22×C4—91no—
415C22×C4—91no—
416C22×C4—94no—
417C22×C4—91no—
418C22×C4—94no—
419C22×C4—184no—
420C22×C4—184no—
421C22×C4C2×(C3⋊D3)⋊C311yescharacteristic
422C22×C4C2×(C3⋊D3)⋊C311yescharacteristic
423C4⋊C4—94no—
424C22⋊C4—94no—
425C22⋊C4C2×(C3⋊D3)⋊C314yescomplemented
426C42—94no—
427C22×C3—28no—
428C22×C3—22no—
429C22×C3—22no—
430C22×C3—31no—
431C22×C3—31no—
432C22×C3—32no—
433C22×C3—32no—
434C22×C3—34no—
435C22×C3—34no—
436C22×C3—32no—
437C22×C3—32no—
438C22×C3—32no—
439C22×C3—32no—
440C22×C3—62no—
441C22×C3—62no—
442C22×C3—62no—
443C22×C3—62no—
444C22×C3—68no—
445C22×C3—68no—
446C22×C3—61no—
447C22×C3—62no—
448C22×C3—64no—
449C22×C3—62no—
450C22×C3—62no—
451C22×C3—94no—
452C22×C3—122no—
453C22×C3—122no—
454C22×C3—128no—
455C22×C3—182no—
456C22×C3—182no—
457C22×C3—188no—
458C22×C3C2×C3×C4×D312yes—
459C22×C3C2×C3×C4×D314yes—
460C22×C3C3×D3×D412yes—
461C22×C3C3×#23712yes—
462C22×C3C23×C3×D311yescharacteristic
463C2×D3—34no—
464C2×D3—68no—
465C2×D3—62no—
466C2×D3—62no—
467C2×D3—94no—
468C2×D3—182no—
469C2×D3—182no—
470C2×D3—188no—
471C3×C4—22no—
472C3×C4—22no—
473C3×C4—62no—
474C3×C4—62no—
475C3×C4—62no—
476C3×C4—62no—
477C3×C4—94no—
478C3×C4—94no—
479C3×C4—122no—
480C3×C4—122no—
481C3×C4—182no—
482Dic3—34no—
483Dic3—34no—
484Dic3—62no—
485Dic3—94no—
486Dic3—94no—
487Dic3—182no—
488C32—21no—
489C32C2×#67⋊C411yescharacteristic, complemented
490C32C2×C3×C4×D411yescharacteristic, complemented
491C23—22no—
492C23—22no—
493C23—92no—
494C23—94no—
495C23—182no—
496C23—182no—
497C23C4×(C3⋊D3)⋊C314yescomplemented
498C23C22×(C3⋊D3)⋊C312yes—
499C23C22×(C3⋊D3)⋊C311yescharacteristic
500D4—916no—
501C2×C4—22no—
502C2×C4—22no—
503C2×C4—92no—
504C2×C4—92no—
505C2×C4—94no—
506C2×C4—94no—
507C2×C4—92no—
508C2×C4—188no—
509C2×C4—188no—
510C2×C4—182no—
511C2×C4C22×(C3⋊D3)⋊C312yes—
512C2×C4C22×(C3⋊D3)⋊C312yes—
513C2×C3—24no—
514C2×C3—31no—
515C2×C3—31no—
516C2×C3—31no—
517C2×C3—31no—
518C2×C3—31no—
519C2×C3—31no—
520C2×C3—34no—
521C2×C3—34no—
522C2×C3—64no—
523C2×C3—64no—
524C2×C3—61no—
525C2×C3—61no—
526C2×C3—61no—
527C2×C3—64no—
528C2×C3—124no—
529C2×C3—184no—
530C2×C3C3×#67⋊C414yes—
531C2×C3C22×C3×C4×D311yescharacteristic
532C2×C3C2×C3×D3×D411yescharacteristic
533C2×C3C2×C3×#23711yescharacteristic
534D3—64no—
535D3—184no—
536C22—22no—
537C22—22no—
538C22—28no—
539C22—94no—
540C22—182no—
541C22—182no—
542C22—188no—
543C22C2×C4×(C3⋊D3)⋊C312yes—
544C22C2×C4×(C3⋊D3)⋊C314yescomplemented
545C22D4×(C3⋊D3)⋊C312yes—
546C22#3830⋊C312yes—
547C22C23×(C3⋊D3)⋊C311yescharacteristic
548C4—22no—
549C4—22no—
550C4—94no—
551C4—94no—
552C4—182no—
553C3—31no—
554C3—31no—
555C3—61no—
556C3C2×C3×#67⋊C411yescharacteristic
557C2—24no—
558C2—184no—
559C2#64090⋊C314yesdirect product factor
560C2C22×C4×(C3⋊D3)⋊C311yescharacteristic
561C2C2×D4×(C3⋊D3)⋊C311yescharacteristic
562C2C2×#3830⋊C311yescharacteristic
subgroupG/H
centerC23C22×(C3⋊D3)⋊C3
commutatorC2×C32C23×C3×C4
FrattiniC22×C3C23×C3×D3
FittingC2×C22⋊C4×H(3,𝔽3)C2
socleC23×C3C22×C3×D3
prime radicalC22×#638⋊C3C2
cosocleC22×C32C24×C3
hypercenterC2×C22⋊C4(C3⋊D3)⋊C3
hypocenterC32C2×C3×C4×D4
LCSG ▷ C2×C32 ▷ C32
UCSC1 ◁ C23 ◁ C2×C22⋊C4

Complements

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

NH ≅ G/Ntype
2. C23×(C3⋊Dic3)⋊C3C2semidirect
3. C22×C4×(C3⋊D3)⋊C3C2semidirect
4. C2×C22⋊C4×H(3,𝔽3)C2semidirect
5. C2×#3752⋊C3C2semidirect
6. C2×#3750⋊C3C2semidirect
7. C2×C4×(C3⋊Dic3)⋊C3C2semidirect
8. #64090⋊C3C2direct (N × H)
9. C2×#64090C3semidirect
15. C2×#638⋊C3C4semidirect
21. C22×(C3⋊Dic3)⋊C3C22semidirect
23. C2×C4×(C3⋊D3)⋊C3C22semidirect
24. C22⋊C4×H(3,𝔽3)C22semidirect
25. #3752⋊C3C22semidirect
26. #3750⋊C3C22semidirect
27. C4×(C3⋊Dic3)⋊C3C22semidirect
29. C23×C3⋊Dic3C2×C3semidirect
30. C22×C4×C3⋊D3C2×C3semidirect
35. C2×C32×C22⋊C4D3semidirect
36. C2×C32×C22⋊C4C2×C3semidirect
37. C2×#3752C2×C3semidirect
38. C2×#3750C2×C3semidirect
39. C2×C4×C3⋊Dic3C2×C3semidirect
40. #64090C2×C3semidirect
47. C23×H(3,𝔽3)C2×C4semidirect
52. C22×(C3⋊D3)⋊C3C2×C4semidirect
58. #638⋊C3C2×C4semidirect
61. C2×(C3⋊Dic3)⋊C3C2×C4semidirect
62. C2×(C3⋊Dic3)⋊C3D4semidirect
81. C2×#638C3×C4semidirect
87. C22×C3⋊Dic3C22×C3semidirect
89. C2×C4×C3⋊D3C22×C3semidirect
100. C32×C22⋊C4C2×D3semidirect
101. C32×C22⋊C4C22×C3semidirect
102. #3752C22×C3semidirect
103. #3750C22×C3semidirect
104. C4×C3⋊Dic3C22×C3semidirect
112. C22×H(3,𝔽3)C22×C4semidirect
119. C2×(C3⋊D3)⋊C3C22×C4semidirect
123. (C3⋊Dic3)⋊C3C22×C4semidirect
124. (C3⋊Dic3)⋊C3C2×D4semidirect
159. C23×C32C4×D3semidirect
160. C23×C32C2×C3×C4semidirect
167. C22×C3⋊D3C2×C3×C4semidirect
185. #638C2×C3×C4semidirect
188. C2×C3⋊Dic3C2×C3×C4semidirect
189. C2×C3⋊Dic3C3×D4semidirect
205. C2×H(3,𝔽3)C4×D4semidirect
280. C22×C32C2×C4×D3semidirect
284. C22×C32C22×C3×C4semidirect
292. C2×C3⋊D3C22×C3×C4semidirect
304. C3⋊Dic3C22×C3×C4semidirect
305. C3⋊Dic3C2×C3×D4semidirect
315. C2×C22⋊C4(C3⋊D3)⋊C3semidirect
317. H(3,𝔽3)C2×C4×D4semidirect
400. C2×C32#67⋊C4semidirect
401. C2×C32C3×C4×D4semidirect
425. C22⋊C4C2×(C3⋊D3)⋊C3semidirect
489. C32C2×#67⋊C4semidirect
490. C32C2×C3×C4×D4semidirect
497. C23C4×(C3⋊D3)⋊C3semidirect
544. C22C2×C4×(C3⋊D3)⋊C3semidirect
559. C2#64090⋊C3direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#638⋊C32
C23×(C3⋊Dic3)⋊C32
C22×C4×(C3⋊D3)⋊C32
C2×C22⋊C4×H(3,𝔽3)2
C2×#3752⋊C32
C2×#3750⋊C32
C2×C4×(C3⋊Dic3)⋊C32
#64090⋊C32
C2×#640903
C2×C3×#67⋊C43