Finite Group Databasebeta

← C2×C3×#5494 #11901272

Subgroups — C2×C3×#5494 #11901272

Order 1152.

3009 conjugacy classes of subgroups.

The subgroup lattice has 666 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C32×C22⋊C4C211yesmaximal, characteristic, complemented
2C2×C3×#953C212yesmaximal, complemented
3C2×C3×#930C211yesmaximal, characteristic, complemented
4C2×C3×C4×#67C212yesmaximal, complemented
5C2×C3×#924C211yesmaximal, characteristic, complemented
6C3×#5494C2116yesmaximal, direct product factor
7C2×C3×#885C212yesmaximal, complemented
8C2×C3×#884C212yesmaximal, complemented
9C2×C3×#883C212yesmaximal, complemented
10C2×C3×#879C212yesmaximal, complemented
11C2×C3×#538—31nomaximal
12C2×#5494C311yesmaximal, characteristic, direct product factor
13C25×C32C2211yescharacteristic
14C23×C32×C4C2211yescharacteristic
15C23×C32×C4C2211yescharacteristic
16C22×C3×#67C2212yes—
17C22×C3×#67C2212yes—
18C22×C3×#67C2212yes—
19C22×C3×D12C2211yescharacteristic, complemented
20C22×C3×C4×D3C2212yescomplemented
21C22×C3×Dic6C2211yescharacteristic, complemented
22C2×C32×C22⋊C4C2212yes—
23C2×C32×C22⋊C4C2212yes—
24C2×C32×C22⋊C4C2218yescomplemented
25C3×#953C22116yescomplemented
26C2×C3×#217C2212yes—
27C2×C3×#217C2212yes—
28C2×C3×#217C2212yes—
29C3×#930C2218yescomplemented
30C3×C4×#67C22116yescomplemented
31C2×C3×(C2×D3)⋊C4C2212yescomplemented
32C2×C3×(C2×D3)⋊C4C2212yescomplemented
33C2×C3×C4⋊Dic3C2211yescharacteristic, complemented
34C2×C3×C4⋊Dic3C2211yescharacteristic, complemented
35C3×#924C2218yescomplemented
36C2×C3×Dic3⋊C4C2212yescomplemented
37C2×C3×Dic3⋊C4C2212yescomplemented
38C2×C3×C4×Dic3C2212yescomplemented
39C3×#885C22116yescomplemented
40C3×#884C22116yescomplemented
41C3×#883C22116yescomplemented
42C3×#879C22116yescomplemented
43C3×#538—316no—
44C2×C3×#126—32no—
45C2×C3×#124—32no—
46C2×C3×#123—32no—
47C2×C3×C22⋊Q8—31no—
48C2×C3×#121—31no—
49C2×C3×#121—32no—
50C2×C3×#120—32no—
51C2×C3×C4×D4—32no—
52C22×C3×C22⋊C4—21no—
53C22×C3×C22⋊C4D311yescharacteristic, complemented
54C22×C3×C22⋊C4C2×C311yescharacteristic, complemented
55C2×#953C2×C312yescomplemented
56C2×#930C2×C311yescharacteristic, complemented
57C2×C4×#67C2×C312yescomplemented
58C2×#924C2×C311yescharacteristic, complemented
59#5494C2×C3116yesdirect product factor
60C2×#885C2×C312yescomplemented
61C2×#884C2×C312yescomplemented
62C2×#883C2×C312yescomplemented
63C2×#879C2×C312yescomplemented
64C24×C32—24no—
65C24×C32—42no—
66C24×C32—42no—
67C24×C32C2312yes—
68C24×C32C2311yescharacteristic
69C24×C32C2314yes—
70C23×C3×D3C2312yes—
71C22×C32×C4—42no—
72C22×C32×C4—42no—
73C22×C32×C4C2312yes—
74C22×C32×C4C2311yescharacteristic
75C22×C32×C4C2311yescharacteristic
76C22×C32×C4C2314yes—
77C22×C32×C4C2314yes—
78C2×C3×#67—28no—
79C2×C3×#67—44no—
80C2×C3×#67—44no—
81C2×C3×#67C2318yes—
82C2×C3×#67C2318yes—
83C2×C3×#67C2318yes—
84C22×C3×Dic3C2312yes—
85C22×C3×Dic3C2312yes—
86C22×C3×Dic3C2312yes—
87C2×C3×D12—42no—
88C2×C3×D12C2314yescomplemented
89C2×C3×C4×D3—44no—
90C2×C3×C4×D3C2318yescomplemented
91C2×C3×Dic6—42no—
92C2×C3×Dic6C2314yescomplemented
93C32×C22⋊C4C2318yes—
94C32×C22⋊C4C2318yes—
95C3×#217C2318yes—
96C3×#217C2318yes—
97C3×#217C2318yes—
98C3×(C2×D3)⋊C4C2318yescomplemented
99C3×(C2×D3)⋊C4C2318yescomplemented
100C3×C4⋊Dic3C2314yescomplemented
101C3×C4⋊Dic3C2314yescomplemented
102C3×Dic3⋊C4C2318yescomplemented
103C3×Dic3⋊C4C2318yescomplemented
104C3×C4×Dic3C2318yescomplemented
105C2×#538—31noSylow
106C25×C3—21no—
107C25×C3C2×D311yescharacteristic
108C25×C3C22×C311yescharacteristic
109C22×C3×Q8—31no—
110C22×C3×D4—32no—
111C22×C3×D4—32no—
112C22×C3×D4—32no—
113C22×C3×D4—31no—
114C23×C3×C4—21no—
115C23×C3×C4—21no—
116C23×C3×C4—32no—
117C23×C3×C4C2×D311yescharacteristic
118C23×C3×C4C2×D311yescharacteristic
119C23×C3×C4C22×C311yescharacteristic
120C23×C3×C4C22×C311yescharacteristic
121C22×#67C22×C312yes—
122C22×#67C22×C312yes—
123C22×#67C22×C312yes—
124C22×D12C22×C311yescharacteristic, complemented
125C22×C4×D3C22×C312yescomplemented
126C22×Dic6C22×C311yescharacteristic, complemented
127C3×#126—316no—
128C3×#124—316no—
129C3×#123—316no—
130C3×C22⋊Q8—38no—
131C3×#121—38no—
132C3×#121—316no—
133C3×#120—316no—
134C3×C4×D4—316no—
135C2×C3×C4⋊C4—32no—
136C2×C3×C4⋊C4—32no—
137C2×C3×C4⋊C4—31no—
138C2×C3×C4⋊C4—31no—
139C2×C3×C22⋊C4—22no—
140C2×C3×C22⋊C4—22no—
141C2×C3×C22⋊C4—28no—
142C2×C3×C22⋊C4—32no—
143C2×C3×C22⋊C4—32no—
144C2×C3×C22⋊C4—32no—
145C2×C3×C22⋊C4—32no—
146C2×C3×C22⋊C4—32no—
147C2×C3×C22⋊C4C2×D312yes—
148C2×C3×C22⋊C4C2×D312yes—
149C2×C3×C22⋊C4C2×D318yescomplemented
150C2×C3×C22⋊C4C22×C312yes—
151C2×C3×C22⋊C4C22×C312yes—
152C2×C3×C22⋊C4C22×C318yescomplemented
153C2×C3×C42—32no—
154#953C22×C3116yescomplemented
155C2×#217C22×C312yes—
156C2×#217C22×C312yes—
157C2×#217C22×C312yes—
158#930C22×C318yescomplemented
159C4×#67C22×C3116yescomplemented
160C2×(C2×D3)⋊C4C22×C312yescomplemented
161C2×(C2×D3)⋊C4C22×C312yescomplemented
162C2×C4⋊Dic3C22×C311yescharacteristic, complemented
163C2×C4⋊Dic3C22×C311yescharacteristic, complemented
164#924C22×C318yescomplemented
165C2×Dic3⋊C4C22×C312yescomplemented
166C2×Dic3⋊C4C22×C312yescomplemented
167C2×C4×Dic3C22×C312yescomplemented
168#885C22×C3116yescomplemented
169#884C22×C3116yescomplemented
170#883C22×C3116yescomplemented
171#879C22×C3116yescomplemented
172C23×C32—22no—
173C23×C32—22no—
174C23×C32—28no—
175C23×C32—24no—
176C23×C32—24no—
177C23×C32—24no—
178C23×C32—44no—
179C23×C32—44no—
180C23×C32—416no—
181C23×C32#4114yes—
182C23×C32C2414yes—
183C23×C32C2412yes—
184C23×C32C2411yescharacteristic
185C22×C3×D3—24no—
186C22×C3×D3—24no—
187C22×C3×D3—24no—
188C22×C3×D3C2414yes—
189C2×C32×C4—22no—
190C2×C32×C4—24no—
191C2×C32×C4—22no—
192C2×C32×C4—44no—
193C2×C32×C4—44no—
194C2×C32×C4C2414yes—
195C2×C32×C4C2412yes—
196C2×C32×C4C2412yes—
197C3×#67—216no—
198C3×#67—48no—
199C3×#67—48no—
200C2×C3×Dic3—24no—
201C2×C3×Dic3—24no—
202C2×C3×Dic3—24no—
203C2×C3×Dic3C2414yes—
204C2×C3×Dic3C2414yes—
205C2×C3×Dic3C2414yes—
206C3×D12—44no—
207C3×C4×D3—48no—
208C3×Dic6—44no—
209#538—316no—
210C2×#126—32no—
211C2×#124—32no—
212C2×#123—32no—
213C2×C22⋊Q8—31no—
214C2×#121—31no—
215C2×#121—32no—
216C2×#120—32no—
217C2×C4×D4—32no—
218C22×C22⋊C4C3×D311yescharacteristic, complemented
219C24×C3—28no—
220C24×C3—24no—
221C24×C3—24no—
222C24×C3—21no—
223C24×C3—22no—
224C24×C3—24no—
225C24×C3—32no—
226C24×C3—42no—
227C24×C3—42no—
228C24×C3—42no—
229C24×C3—42no—
230C24×C3—44no—
231C24×C3—44no—
232C24×C3C22×D312yes—
233C24×C3C22×D311yescharacteristic
234C24×C3C22×D314yes—
235C24×C3C23×C312yes—
236C24×C3C23×C311yescharacteristic
237C24×C3C23×C314yes—
238C23×D3C23×C312yes—
239C2×C3×Q8—34no—
240C2×C3×Q8—122no—
241C2×C3×D4—38no—
242C2×C3×D4—38no—
243C2×C3×D4—38no—
244C2×C3×D4—34no—
245C2×C3×D4—68no—
246C2×C3×D4—122no—
247C2×C3×D4—124no—
248C2×C3×D4—124no—
249C22×C3×C4—22no—
250C22×C3×C4—21no—
251C22×C3×C4—21no—
252C22×C3×C4—24no—
253C22×C3×C4—24no—
254C22×C3×C4—32no—
255C22×C3×C4—32no—
256C22×C3×C4—32no—
257C22×C3×C4—38no—
258C22×C3×C4—42no—
259C22×C3×C4—42no—
260C22×C3×C4—42no—
261C22×C3×C4—42no—
262C22×C3×C4—44no—
263C22×C3×C4—44no—
264C22×C3×C4—124no—
265C22×C3×C4C22×D312yes—
266C22×C3×C4C22×D311yescharacteristic
267C22×C3×C4C22×D311yescharacteristic
268C22×C3×C4C22×D314yes—
269C22×C3×C4C22×D314yes—
270C22×C3×C4C23×C312yes—
271C22×C3×C4C23×C311yescharacteristic
272C22×C3×C4C23×C311yescharacteristic
273C22×C3×C4C23×C314yes—
274C22×C3×C4C23×C314yes—
275C2×#67—28no—
276C2×#67—44no—
277C2×#67—44no—
278C2×#67C23×C318yes—
279C2×#67C23×C318yes—
280C2×#67C23×C318yes—
281C22×Dic3C23×C312yes—
282C22×Dic3C23×C312yes—
283C22×Dic3C23×C312yes—
284C2×D12—42no—
285C2×D12C23×C314yescomplemented
286C2×C4×D3—44no—
287C2×C4×D3C23×C318yescomplemented
288C2×Dic6—42no—
289C2×Dic6C23×C314yescomplemented
290C3×C4⋊C4—38no—
291C3×C4⋊C4—38no—
292C3×C4⋊C4—34no—
293C3×C4⋊C4—34no—
294C3×C22⋊C4—28no—
295C3×C22⋊C4—28no—
296C3×C22⋊C4—38no—
297C3×C22⋊C4—38no—
298C3×C22⋊C4—38no—
299C3×C22⋊C4—38no—
300C3×C22⋊C4—38no—
301C3×C22⋊C4C22×D318yes—
302C3×C22⋊C4C22×D318yes—
303C3×C22⋊C4C23×C318yes—
304C3×C22⋊C4C23×C318yes—
305C3×C42—38no—
306#217C23×C318yes—
307#217C23×C318yes—
308#217C23×C318yes—
309(C2×D3)⋊C4C23×C318yescomplemented
310(C2×D3)⋊C4C23×C318yescomplemented
311C4⋊Dic3C23×C314yescomplemented
312C4⋊Dic3C23×C314yescomplemented
313Dic3⋊C4C23×C318yescomplemented
314Dic3⋊C4C23×C318yescomplemented
315C4×Dic3C23×C318yescomplemented
316C22×C32—28no—
317C22×C32—22no—
318C22×C32—22no—
319C22×C32—24no—
320C22×C32—24no—
321C22×C32—24no—
322C22×C32—416no—
323C22×C32—48no—
324C22×C32C2×#4114yes—
325C22×C32C2×#4112yes—
326C22×C32H(5,𝔽2)12yes—
327C22×C32H(5,𝔽2)12yes—
328C22×C32C2511yescharacteristic
329C2×C3×D3—24no—
330C2×C3×D3—24no—
331C2×C3×D3—24no—
332C2×C3×D3—48no—
333C32×C4—22no—
334C32×C4—24no—
335C32×C4—22no—
336C3×Dic3—24no—
337C3×Dic3—24no—
338C3×Dic3—24no—
339C25C2×C3×D311yescharacteristic
340C22×Q8—31no—
341C22×D4—32no—
342C22×D4—32no—
343C22×D4—32no—
344C22×D4—31no—
345C23×C4—32no—
346C23×C4C2×C3×D311yescharacteristic
347C23×C4C2×C3×D311yescharacteristic
348#126—316no—
349#124—316no—
350#123—316no—
351C22⋊Q8—38no—
352#121—38no—
353#121—316no—
354#120—316no—
355C4×D4—316no—
356C2×C4⋊C4—32no—
357C2×C4⋊C4—32no—
358C2×C4⋊C4—31no—
359C2×C4⋊C4—31no—
360C2×C22⋊C4—32no—
361C2×C22⋊C4—32no—
362C2×C22⋊C4—32no—
363C2×C22⋊C4—32no—
364C2×C22⋊C4—32no—
365C2×C22⋊C4C2×C3×D312yes—
366C2×C22⋊C4C2×C3×D312yes—
367C2×C22⋊C4C2×C3×D318yescomplemented
368C2×C42—32no—
369C23×C3—24no—
370C23×C3—24no—
371C23×C3—22no—
372C23×C3—22no—
373C23×C3—22no—
374C23×C3—22no—
375C23×C3—216no—
376C23×C3—28no—
377C23×C3—28no—
378C23×C3—24no—
379C23×C3—24no—
380C23×C3—24no—
381C23×C3—28no—
382C23×C3—24no—
383C23×C3—24no—
384C23×C3—24no—
385C23×C3—22no—
386C23×C3—21no—
387C23×C3—24no—
388C23×C3—24no—
389C23×C3—34no—
390C23×C3—44no—
391C23×C3—44no—
392C23×C3—44no—
393C23×C3—44no—
394C23×C3—44no—
395C23×C3—44no—
396C23×C3—48no—
397C23×C3—48no—
398C23×C3—432no—
399C23×C3—416no—
400C23×C3—416no—
401C23×C3—64no—
402C23×C3—64no—
403C23×C3—64no—
404C23×C3#23514yes—
405C23×C3C3×#4114yes—
406C23×C3C23×D314yes—
407C23×C3C23×D312yes—
408C23×C3C23×D311yescharacteristic
409C23×C3C24×C314yes—
410C23×C3C24×C312yes—
411C23×C3C24×C311yescharacteristic
412C22×D3—24no—
413C22×D3—24no—
414C22×D3—24no—
415C22×D3C24×C314yes—
416C3×Q8—124no—
417C3×D4—616no—
418C3×D4—124no—
419C3×D4—128no—
420C3×D4—128no—
421C2×C3×C4—24no—
422C2×C3×C4—22no—
423C2×C3×C4—22no—
424C2×C3×C4—22no—
425C2×C3×C4—24no—
426C2×C3×C4—22no—
427C2×C3×C4—24no—
428C2×C3×C4—22no—
429C2×C3×C4—22no—
430C2×C3×C4—34no—
431C2×C3×C4—34no—
432C2×C3×C4—34no—
433C2×C3×C4—44no—
434C2×C3×C4—42no—
435C2×C3×C4—42no—
436C2×C3×C4—44no—
437C2×C3×C4—44no—
438C2×C3×C4—44no—
439C2×C3×C4—44no—
440C2×C3×C4—48no—
441C2×C3×C4—48no—
442C2×C3×C4—64no—
443C2×C3×C4—64no—
444C2×C3×C4—64no—
445C2×C3×C4—128no—
446C2×C3×C4C23×D314yes—
447C2×C3×C4C23×D312yes—
448C2×C3×C4C23×D312yes—
449C2×C3×C4C24×C314yes—
450C2×C3×C4C24×C312yes—
451C2×C3×C4C24×C312yes—
452#67—216no—
453#67—48no—
454#67—48no—
455C2×Dic3—24no—
456C2×Dic3—24no—
457C2×Dic3—24no—
458C2×Dic3C24×C314yes—
459C2×Dic3C24×C314yes—
460C2×Dic3C24×C314yes—
461D12—44no—
462C4×D3—48no—
463Dic6—44no—
464C2×C32—24no—
465C2×C32—44no—
466C2×C32#53814yescomplemented
467C2×C32C22×#4111yescharacteristic
468C2×C32C2×H(5,𝔽2)11yescharacteristic
469C2×C32C2×H(5,𝔽2)11yescharacteristic
470C3×D3—44no—
471C24—24no—
472C24—32no—
473C24—42no—
474C24—42no—
475C24C22×C3×D312yes—
476C24C22×C3×D311yescharacteristic
477C24C22×C3×D314yes—
478C2×Q8—34no—
479C2×Q8—122no—
480C2×D4—38no—
481C2×D4—38no—
482C2×D4—38no—
483C2×D4—34no—
484C2×D4—68no—
485C2×D4—122no—
486C2×D4—124no—
487C2×D4—124no—
488C22×C4—32no—
489C22×C4—32no—
490C22×C4—32no—
491C22×C4—38no—
492C22×C4—42no—
493C22×C4—42no—
494C22×C4—124no—
495C22×C4C22×C3×D312yes—
496C22×C4C22×C3×D311yescharacteristic
497C22×C4C22×C3×D311yescharacteristic
498C22×C4C22×C3×D314yes—
499C22×C4C22×C3×D314yes—
500C4⋊C4—38no—
501C4⋊C4—38no—
502C4⋊C4—34no—
503C4⋊C4—34no—
504C22⋊C4—38no—
505C22⋊C4—38no—
506C22⋊C4—38no—
507C22⋊C4—38no—
508C22⋊C4—38no—
509C22⋊C4C22×C3×D318yes—
510C22⋊C4C22×C3×D318yes—
511C42—38no—
512C22×C3—24no—
513C22×C3—24no—
514C22×C3—216no—
515C22×C3—22no—
516C22×C3—22no—
517C22×C3—22no—
518C22×C3—22no—
519C22×C3—28no—
520C22×C3—28no—
521C22×C3—28no—
522C22×C3—24no—
523C22×C3—24no—
524C22×C3—24no—
525C22×C3—24no—
526C22×C3—24no—
527C22×C3—24no—
528C22×C3—24no—
529C22×C3—22no—
530C22×C3—22no—
531C22×C3—22no—
532C22×C3—21no—
533C22×C3—44no—
534C22×C3—44no—
535C22×C3—432no—
536C22×C3—416no—
537C22×C3—416no—
538C22×C3—416no—
539C22×C3—48no—
540C22×C3—48no—
541C22×C3—64no—
542C22×C3—64no—
543C22×C3—64no—
544C22×C3—128no—
545C22×C3C2×#23514yes—
546C22×C3C2×#23512yes—
547C22×C3#100412yes—
548C22×C3#100412yes—
549C22×C3C2×C3×#4114yes—
550C22×C3C2×C3×#4112yes—
551C22×C3C3×H(5,𝔽2)12yes—
552C22×C3C3×H(5,𝔽2)12yes—
553C22×C3C24×D311yescharacteristic
554C22×C3C25×C311yescharacteristic
555C2×D3—24no—
556C2×D3—24no—
557C2×D3—24no—
558C2×D3—48no—
559C3×C4—24no—
560C3×C4—22no—
561C3×C4—22no—
562C3×C4—22no—
563C3×C4—24no—
564C3×C4—22no—
565C3×C4—44no—
566C3×C4—42no—
567C3×C4—42no—
568C3×C4—64no—
569C3×C4—64no—
570C3×C4—64no—
571Dic3—24no—
572Dic3—24no—
573Dic3—24no—
574C32C2×#53811yescharacteristic, complemented, Sylow
575C23—22no—
576C23—22no—
577C23—28no—
578C23—24no—
579C23—24no—
580C23—24no—
581C23—34no—
582C23—44no—
583C23—44no—
584C23—416no—
585C23—64no—
586C23—64no—
587C23—64no—
588C23C3×#23514yes—
589C23C23×C3×D314yes—
590C23C23×C3×D312yes—
591C23C23×C3×D311yescharacteristic
592Q8—124no—
593D4—616no—
594D4—124no—
595D4—128no—
596D4—128no—
597C2×C4—24no—
598C2×C4—22no—
599C2×C4—22no—
600C2×C4—34no—
601C2×C4—34no—
602C2×C4—34no—
603C2×C4—44no—
604C2×C4—44no—
605C2×C4—64no—
606C2×C4—64no—
607C2×C4—64no—
608C2×C4—128no—
609C2×C4C23×C3×D314yes—
610C2×C4C23×C3×D312yes—
611C2×C4C23×C3×D312yes—
612C2×C3—28no—
613C2×C3—24no—
614C2×C3—24no—
615C2×C3—24no—
616C2×C3—21no—
617C2×C3—21no—
618C2×C3—21no—
619C2×C3—48no—
620C2×C3—44no—
621C2×C3—44no—
622C2×C3—124no—
623C2×C3#549414yesdirect product factor
624C2×C3C3×#53814yescomplemented
625C2×C3C22×#23511yescharacteristic
626C2×C3C2×#100411yescharacteristic
627C2×C3C2×#100411yescharacteristic
628C2×C3C22×C3×#4111yescharacteristic
629C2×C3C2×C3×H(5,𝔽2)11yescharacteristic
630C2×C3C2×C3×H(5,𝔽2)11yescharacteristic
631D3—44no—
632C22—28no—
633C22—22no—
634C22—22no—
635C22—24no—
636C22—24no—
637C22—24no—
638C22—416no—
639C22—48no—
640C22—64no—
641C22—64no—
642C22—64no—
643C22—128no—
644C22C2×C3×#23514yes—
645C22C2×C3×#23512yes—
646C22C3×#100412yes—
647C22C3×#100412yes—
648C22C24×C3×D311yescharacteristic
649C4—24no—
650C4—22no—
651C4—22no—
652C4—64no—
653C4—64no—
654C4—64no—
655C3—21no—
656C3C2×#549411yescharacteristic, direct product factor
657C3C2×C3×#53811yescharacteristic, complemented
658C2—24no—
659C2—44no—
660C2—124no—
661C2C3×#549414yesdirect product factor
662C2C22×C3×#23511yescharacteristic
663C2C2×C3×#100411yescharacteristic
664C2C2×C3×#100411yescharacteristic
subgroupG/H
centerC23×C3C23×D3
commutator, cosocleC22×C3C25×C3
FrattiniC22C24×C3×D3
FittingC22×C32×C22⋊C4C2
socleC23×C32C24
hypercenterC22×C3×C22⋊C4D3
hypocenterC3C2×C3×#538
LCSG ▷ C22×C3 ▷ C3
UCSC1 ◁ C23×C3 ◁ C22×C3×C22⋊C4

Complements

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

NH ≅ G/Ntype
1. C22×C32×C22⋊C4C2semidirect
2. C2×C3×#953C2semidirect
3. C2×C3×#930C2semidirect
4. C2×C3×C4×#67C2semidirect
5. C2×C3×#924C2semidirect
6. C3×#5494C2direct (N × H)
7. C2×C3×#885C2semidirect
8. C2×C3×#884C2semidirect
9. C2×C3×#883C2semidirect
10. C2×C3×#879C2semidirect
12. C2×#5494C3direct (N × H)
19. C22×C3×D12C22semidirect
20. C22×C3×C4×D3C22semidirect
21. C22×C3×Dic6C22semidirect
24. C2×C32×C22⋊C4C22semidirect
25. C3×#953C22semidirect
29. C3×#930C22semidirect
30. C3×C4×#67C22semidirect
31. C2×C3×(C2×D3)⋊C4C22semidirect
32. C2×C3×(C2×D3)⋊C4C22semidirect
33. C2×C3×C4⋊Dic3C22semidirect
34. C2×C3×C4⋊Dic3C22semidirect
35. C3×#924C22semidirect
36. C2×C3×Dic3⋊C4C22semidirect
37. C2×C3×Dic3⋊C4C22semidirect
38. C2×C3×C4×Dic3C22semidirect
39. C3×#885C22semidirect
40. C3×#884C22semidirect
41. C3×#883C22semidirect
42. C3×#879C22semidirect
53. C22×C3×C22⋊C4D3semidirect
54. C22×C3×C22⋊C4C2×C3semidirect
55. C2×#953C2×C3semidirect
56. C2×#930C2×C3semidirect
57. C2×C4×#67C2×C3semidirect
58. C2×#924C2×C3semidirect
59. #5494C2×C3direct (N × H)
60. C2×#885C2×C3semidirect
61. C2×#884C2×C3semidirect
62. C2×#883C2×C3semidirect
63. C2×#879C2×C3semidirect
88. C2×C3×D12C23semidirect
90. C2×C3×C4×D3C23semidirect
92. C2×C3×Dic6C23semidirect
98. C3×(C2×D3)⋊C4C23semidirect
99. C3×(C2×D3)⋊C4C23semidirect
100. C3×C4⋊Dic3C23semidirect
101. C3×C4⋊Dic3C23semidirect
102. C3×Dic3⋊C4C23semidirect
103. C3×Dic3⋊C4C23semidirect
104. C3×C4×Dic3C23semidirect
124. C22×D12C22×C3semidirect
125. C22×C4×D3C22×C3semidirect
126. C22×Dic6C22×C3semidirect
149. C2×C3×C22⋊C4C2×D3semidirect
152. C2×C3×C22⋊C4C22×C3semidirect
154. #953C22×C3semidirect
158. #930C22×C3semidirect
159. C4×#67C22×C3semidirect
160. C2×(C2×D3)⋊C4C22×C3semidirect
161. C2×(C2×D3)⋊C4C22×C3semidirect
162. C2×C4⋊Dic3C22×C3semidirect
163. C2×C4⋊Dic3C22×C3semidirect
164. #924C22×C3semidirect
165. C2×Dic3⋊C4C22×C3semidirect
166. C2×Dic3⋊C4C22×C3semidirect
167. C2×C4×Dic3C22×C3semidirect
168. #885C22×C3semidirect
169. #884C22×C3semidirect
170. #883C22×C3semidirect
171. #879C22×C3semidirect
218. C22×C22⋊C4C3×D3semidirect
285. C2×D12C23×C3semidirect
287. C2×C4×D3C23×C3semidirect
289. C2×Dic6C23×C3semidirect
309. (C2×D3)⋊C4C23×C3semidirect
310. (C2×D3)⋊C4C23×C3semidirect
311. C4⋊Dic3C23×C3semidirect
312. C4⋊Dic3C23×C3semidirect
313. Dic3⋊C4C23×C3semidirect
314. Dic3⋊C4C23×C3semidirect
315. C4×Dic3C23×C3semidirect
367. C2×C22⋊C4C2×C3×D3semidirect
466. C2×C32#538semidirect
574. C32C2×#538semidirect
623. C2×C3#5494direct (N × H)
624. C2×C3C3×#538semidirect
656. C3C2×#5494direct (N × H)
657. C3C2×C3×#538semidirect
661. C2C3×#5494direct (N × H)

Maximal subgroups

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

subgroupindex
C22×C32×C22⋊C42
C2×C3×#9532
C2×C3×#9302
C2×C3×C4×#672
C2×C3×#9242
C3×#54942
C2×C3×#8852
C2×C3×#8842
C2×C3×#8832
C2×C3×#8792
C2×C3×#5383
C2×#54943