Finite Group Databasebeta

← C3×#85697 #11904852

Subgroups — C3×#85697 #11904852

Order 1152.

2993 conjugacy classes of subgroups.

The subgroup lattice has 636 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
3C3×#5791C214yesmaximal, complemented
4C3×#5495C218yesmaximal, complemented
5C3×#5494C214yesmaximal, complemented
6C3×#5493C211yesmaximal, characteristic, complemented
7C3×#5490C218yesmaximal, complemented
8C3×#5486C212yesmaximal, complemented
9C3×#5483C211yesmaximal, characteristic, complemented
10C3×#3490—31nomaximal
11#85697C311yesmaximal, characteristic, direct product factor
12C25×C32C2211yescharacteristic
13C23×C32×C4C2212yescomplemented
14C22×C3×#67C2212yes—
15C22×C3×#67C2214yescomplemented
16C2×C3×#235C2214yescomplemented
17C2×C32×C22⋊C4C2211yescharacteristic
18C2×C32×C22⋊C4C2211yescharacteristic
19C2×C32×C22⋊C4C2218yescomplemented
20C2×C32×C22⋊C4C2212yescomplemented
21C3×#953C2218yes—
22C3×#953C2214yescomplemented
23C3×#953C2214yescomplemented
24C2×C3×#217C2212yes—
25C2×C3×#217C2214yescomplemented
26C3×#930C2214yescomplemented
27C3×#930C2214yescomplemented
28C3×#929C2218yescomplemented
29C3×C4×#67C2218yescomplemented
30C3×C4×#67C2218yescomplemented
31C3×#926C2214yescomplemented
32C3×#924C2214yescomplemented
33C3×#924C2214yescomplemented
34C3×#886C2214yescomplemented
35C3×#885C2218yescomplemented
36C3×#884C2218yescomplemented
37C3×#883C2218yescomplemented
38C3×#882C2214yescomplemented
39C3×#67⋊C4C2218yescomplemented
40C3×D3×C22⋊C4C2214yescomplemented
41C3×#879C2218yescomplemented
42C3×#878C2218yescomplemented
43C3×#877C2214yescomplemented
44C3×#551—38no—
45C3×#546—38no—
46C3×#543—31no—
47C3×#538—34no—
48C3×#534—31no—
49C3×#525—34no—
50C2×C3×#120—32no—
51C3×#518—32no—
52C22×C3×C22⋊C4—21no—
53C22×C3×C22⋊C4D311yescharacteristic, complemented
54C22×C3×C22⋊C4C2×C311yescharacteristic, complemented
55C2×#953C2×C312yescomplemented
56#5791C2×C314yescomplemented
57#5495C2×C318yescomplemented
58#5494C2×C314yescomplemented
59#5493C2×C311yescharacteristic, complemented
60#5490C2×C318yescomplemented
61#5486C2×C312yescomplemented
62#5483C2×C311yescharacteristic, complemented
63C24×C32—24no—
64C24×C32—44no—
65C24×C32C2311yescharacteristic
66C24×C32C2314yes—
67C24×C32C2311yescharacteristic
68C24×C32C2311yescharacteristic
69C23×C3×D3C2312yes—
70C22×C32×C4—44no—
71C22×C32×C4C2314yes—
72C22×C32×C4C2312yes—
73C22×C32×C4C2314yes—
74C22×C32×C4C2312yes—
75C2×C3×#67—28no—
76C2×C3×#67—48no—
77C2×C3×#67C2314yes—
78C2×C3×#67C2314yes—
79C2×C3×#67C2318yes—
80C2×C3×#67C2318yes—
81C22×C3×Dic3C2312yes—
82C22×C3×Dic3C2314yes—
83C3×#235—48no—
84C2×C3×D12C2314yescomplemented
85C2×C3×C4×D3C2318yescomplemented
86C2×C3×Dic6C2314yescomplemented
87C32×C22⋊C4C2314yes—
88C32×C22⋊C4C2314yes—
89C32×C22⋊C4C2318yes—
90C3×#217C2314yes—
91C3×#217C2318yes—
92C3×#217C2314yes—
93C3×#217C2318yes—
94C3×(C2×D3)⋊C4C2318yescomplemented
95C3×(C2×D3)⋊C4C2318yescomplemented
96C3×C4⋊Dic3C2314yescomplemented
97C3×C4⋊Dic3C2314yescomplemented
98C3×Dic3⋊C4C2318yescomplemented
99C3×Dic3⋊C4C2318yescomplemented
100C3×C4×Dic3C2318yescomplemented
101#3490—31noSylow
102C25×C3—21no—
103C25×C3C2×D311yescharacteristic
104C25×C3C22×C311yescharacteristic
105C2×C3×#41—34no—
106C22×C3×D4—32no—
107C22×C3×D4—34no—
108C23×C3×C4—22no—
109C23×C3×C4C2×D312yescomplemented
110C23×C3×C4C22×C312yescomplemented
111C22×#67C22×C312yes—
112C22×#67C22×C314yescomplemented
113C2×#235C22×C314yescomplemented
114C3×#126—38no—
115C3×#124—38no—
116C3×#123—38no—
117C3×#123—38no—
118C3×#123—34no—
119C3×C22⋊Q8—34no—
120C3×C22⋊Q8—34no—
121C3×C22⋊Q8—38no—
122C3×#121—34no—
123C3×#121—34no—
124C3×#121—38no—
125C3×#120—38no—
126C3×#120—34no—
127C3×#120—34no—
128C3×#120—34no—
129C3×C4×D4—38no—
130C3×C4×D4—38no—
131C3×C4×D4—38no—
132C3×#117—34no—
133C3×#117—34no—
134C2×C3×C22⋊C4—21no—
135C2×C3×C22⋊C4—21no—
136C2×C3×C22⋊C4—22no—
137C2×C3×C22⋊C4—28no—
138C2×C3×C22⋊C4—32no—
139C2×C3×C22⋊C4—34no—
140C2×C3×C22⋊C4—34no—
141C2×C3×C22⋊C4C2×D311yescharacteristic
142C2×C3×C22⋊C4C2×D311yescharacteristic
143C2×C3×C22⋊C4C2×D312yescomplemented
144C2×C3×C22⋊C4C2×D318yescomplemented
145C2×C3×C22⋊C4C22×C311yescharacteristic
146C2×C3×C22⋊C4C22×C311yescharacteristic
147C2×C3×C22⋊C4C22×C318yescomplemented
148C2×C3×C22⋊C4C22×C312yescomplemented
149#953C22×C318yes—
150#953C22×C314yescomplemented
151#953C22×C314yescomplemented
152C2×#217C22×C312yes—
153C2×#217C22×C314yescomplemented
154#930C22×C314yescomplemented
155#930C22×C314yescomplemented
156#929C22×C318yescomplemented
157C4×#67C22×C318yescomplemented
158C4×#67C22×C318yescomplemented
159#926C22×C314yescomplemented
160#924C22×C314yescomplemented
161#924C22×C314yescomplemented
162#886C22×C314yescomplemented
163#885C22×C318yescomplemented
164#884C22×C318yescomplemented
165#883C22×C318yescomplemented
166#882C22×C314yescomplemented
167#67⋊C4C22×C318yescomplemented
168D3×C22⋊C4C22×C314yescomplemented
169#879C22×C318yescomplemented
170#878C22×C318yescomplemented
171#877C22×C314yescomplemented
172C23×C32—22no—
173C23×C32—24no—
174C23×C32—28no—
175C23×C32—22no—
176C23×C32—28no—
177C23×C32—42no—
178C23×C32—44no—
179C23×C32—42no—
180C23×C32—416no—
181C23×C32#4114yescomplemented
182C23×C32C2412yes—
183C23×C32C2412yes—
184C23×C32C2411yescharacteristic
185C23×C32C2412yes—
186C22×C3×D3—24no—
187C22×C3×D3—44no—
188C22×C3×D3C2414yes—
189C2×C32×C4—28no—
190C2×C32×C4—42no—
191C2×C32×C4—44no—
192C2×C32×C4—42no—
193C2×C32×C4C2414yes—
194C2×C32×C4C2414yes—
195C3×#67—28no—
196C3×#67—28no—
197C3×#67—216no—
198C3×#67—48no—
199C2×C3×Dic3—24no—
200C2×C3×Dic3—44no—
201C2×C3×Dic3C2414yes—
202C2×C3×Dic3C2418yes—
203C3×D12—44no—
204C3×C4×D3—48no—
205C3×Dic6—44no—
206#551—38no—
207#546—38no—
208#543—31no—
209#538—34no—
210#534—31no—
211#525—34no—
212C2×#120—32no—
213#518—32no—
214C22×C22⋊C4C3×D311yescharacteristic, complemented
215C24×C3—28no—
216C24×C3—24no—
217C24×C3—24no—
218C24×C3—21no—
219C24×C3—24no—
220C24×C3—21no—
221C24×C3—21no—
222C24×C3—32no—
223C24×C3—44no—
224C24×C3—44no—
225C24×C3—48no—
226C24×C3C22×D311yescharacteristic
227C24×C3C22×D314yes—
228C24×C3C22×D311yescharacteristic
229C24×C3C22×D311yescharacteristic
230C24×C3C23×C311yescharacteristic
231C24×C3C23×C314yes—
232C24×C3C23×C311yescharacteristic
233C24×C3C23×C311yescharacteristic
234C23×D3C23×C312yes—
235C3×#41—128no—
236C2×C3×Q8—34no—
237C2×C3×D4—34no—
238C2×C3×D4—34no—
239C2×C3×D4—38no—
240C2×C3×D4—38no—
241C2×C3×D4—34no—
242C2×C3×D4—68no—
243C2×C3×D4—128no—
244C22×C3×C4—24no—
245C22×C3×C4—22no—
246C22×C3×C4—22no—
247C22×C3×C4—24no—
248C22×C3×C4—32no—
249C22×C3×C4—34no—
250C22×C3×C4—38no—
251C22×C3×C4—44no—
252C22×C3×C4—44no—
253C22×C3×C4—48no—
254C22×C3×C4C22×D314yes—
255C22×C3×C4C22×D312yes—
256C22×C3×C4C22×D312yes—
257C22×C3×C4C22×D314yes—
258C22×C3×C4C23×C314yes—
259C22×C3×C4C23×C312yes—
260C22×C3×C4C23×C314yes—
261C22×C3×C4C23×C312yes—
262C2×#67—28no—
263C2×#67—48no—
264C2×#67C23×C314yes—
265C2×#67C23×C314yes—
266C2×#67C23×C318yes—
267C2×#67C23×C318yes—
268C22×Dic3C23×C312yes—
269C22×Dic3C23×C314yes—
270#235—48no—
271C2×D12C23×C314yescomplemented
272C2×C4×D3C23×C318yescomplemented
273C2×Dic6C23×C314yescomplemented
274C3×C4⋊C4—38no—
275C3×C4⋊C4—38no—
276C3×C4⋊C4—34no—
277C3×C4⋊C4—34no—
278C3×C22⋊C4—24no—
279C3×C22⋊C4—24no—
280C3×C22⋊C4—28no—
281C3×C22⋊C4—34no—
282C3×C22⋊C4—38no—
283C3×C22⋊C4—34no—
284C3×C22⋊C4—38no—
285C3×C22⋊C4—38no—
286C3×C22⋊C4—38no—
287C3×C22⋊C4C22×D314yes—
288C3×C22⋊C4C22×D314yes—
289C3×C22⋊C4C22×D318yes—
290C3×C22⋊C4C23×C314yes—
291C3×C22⋊C4C23×C314yes—
292C3×C22⋊C4C23×C318yes—
293C3×C42—38no—
294#217C23×C314yes—
295#217C23×C318yes—
296#217C23×C314yes—
297#217C23×C318yes—
298(C2×D3)⋊C4C23×C318yescomplemented
299(C2×D3)⋊C4C23×C318yescomplemented
300C4⋊Dic3C23×C314yescomplemented
301C4⋊Dic3C23×C314yescomplemented
302Dic3⋊C4C23×C318yescomplemented
303Dic3⋊C4C23×C318yescomplemented
304C4×Dic3C23×C318yescomplemented
305C22×C32—28no—
306C22×C32—22no—
307C22×C32—22no—
308C22×C32—22no—
309C22×C32—22no—
310C22×C32—24no—
311C22×C32—24no—
312C22×C32—44no—
313C22×C32—416no—
314C22×C32—44no—
315C22×C32C2×#4114yes—
316C22×C32C2×#4112yes—
317C22×C32H(5,𝔽2)14yes—
318C22×C32C2511yescharacteristic
319C2×C3×D3—24no—
320C2×C3×D3—28no—
321C2×C3×D3—84no—
322C32×C4—24no—
323C32×C4—24no—
324C3×Dic3—24no—
325C3×Dic3—28no—
326C25C2×C3×D311yescharacteristic
327C2×#41—34no—
328C22×D4—32no—
329C22×D4—34no—
330C23×C4C2×C3×D312yescomplemented
331#126—38no—
332#124—38no—
333#123—38no—
334#123—34no—
335#123—38no—
336C22⋊Q8—34no—
337C22⋊Q8—34no—
338C22⋊Q8—38no—
339#121—34no—
340#121—34no—
341#121—38no—
342#120—34no—
343#120—34no—
344#120—38no—
345#120—34no—
346C4×D4—38no—
347C4×D4—38no—
348C4×D4—38no—
349#117—34no—
350#117—34no—
351C2×C22⋊C4—32no—
352C2×C22⋊C4—34no—
353C2×C22⋊C4—34no—
354C2×C22⋊C4C2×C3×D311yescharacteristic
355C2×C22⋊C4C2×C3×D311yescharacteristic
356C2×C22⋊C4C2×C3×D312yescomplemented
357C2×C22⋊C4C2×C3×D318yescomplemented
358C23×C3—28no—
359C23×C3—24no—
360C23×C3—22no—
361C23×C3—24no—
362C23×C3—22no—
363C23×C3—24no—
364C23×C3—216no—
365C23×C3—24no—
366C23×C3—28no—
367C23×C3—22no—
368C23×C3—28no—
369C23×C3—28no—
370C23×C3—22no—
371C23×C3—28no—
372C23×C3—21no—
373C23×C3—22no—
374C23×C3—22no—
375C23×C3—22no—
376C23×C3—24no—
377C23×C3—34no—
378C23×C3—48no—
379C23×C3—42no—
380C23×C3—44no—
381C23×C3—42no—
382C23×C3—42no—
383C23×C3—44no—
384C23×C3—42no—
385C23×C3—44no—
386C23×C3—48no—
387C23×C3—44no—
388C23×C3—416no—
389C23×C3—416no—
390C23×C3—432no—
391C23×C3—64no—
392C23×C3—124no—
393C23×C3#23514yescomplemented
394C23×C3C3×#4114yescomplemented
395C23×C3C23×D312yes—
396C23×C3C23×D311yescharacteristic
397C23×C3C23×D312yes—
398C23×C3C23×D312yes—
399C23×C3C24×C312yes—
400C23×C3C24×C311yescharacteristic
401C23×C3C24×C312yes—
402C23×C3C24×C312yes—
403C22×D3—24no—
404C22×D3—44no—
405C22×D3C24×C314yes—
406C3×Q8—124no—
407C3×D4—68no—
408C3×D4—68no—
409C3×D4—616no—
410C3×D4—124no—
411C3×D4—128no—
412C2×C3×C4—28no—
413C2×C3×C4—28no—
414C2×C3×C4—24no—
415C2×C3×C4—24no—
416C2×C3×C4—34no—
417C2×C3×C4—38no—
418C2×C3×C4—48no—
419C2×C3×C4—42no—
420C2×C3×C4—44no—
421C2×C3×C4—42no—
422C2×C3×C4—42no—
423C2×C3×C4—44no—
424C2×C3×C4—42no—
425C2×C3×C4—44no—
426C2×C3×C4—48no—
427C2×C3×C4—44no—
428C2×C3×C4—64no—
429C2×C3×C4—128no—
430C2×C3×C4—124no—
431C2×C3×C4C23×D314yes—
432C2×C3×C4C23×D314yes—
433C2×C3×C4C24×C314yes—
434C2×C3×C4C24×C314yes—
435#67—28no—
436#67—28no—
437#67—216no—
438#67—48no—
439C2×Dic3—24no—
440C2×Dic3—44no—
441C2×Dic3C24×C314yes—
442C2×Dic3C24×C318yes—
443D12—44no—
444C4×D3—48no—
445Dic6—44no—
446C2×C32—22no—
447C2×C32—24no—
448C2×C32—24no—
449C2×C32—42no—
450C2×C32C22×#4111yescharacteristic
451C2×C32C2×H(5,𝔽2)12yes—
452C3×D3—44no—
453C24—24no—
454C24—32no—
455C24—44no—
456C24C22×C3×D311yescharacteristic
457C24C22×C3×D314yes—
458C24C22×C3×D311yescharacteristic
459C24C22×C3×D311yescharacteristic
460#41—128no—
461C2×Q8—34no—
462C2×D4—34no—
463C2×D4—34no—
464C2×D4—38no—
465C2×D4—38no—
466C2×D4—34no—
467C2×D4—68no—
468C2×D4—128no—
469C22×C4—32no—
470C22×C4—34no—
471C22×C4—38no—
472C22×C4—44no—
473C22×C4C22×C3×D314yes—
474C22×C4C22×C3×D312yes—
475C22×C4C22×C3×D312yes—
476C22×C4C22×C3×D314yes—
477C4⋊C4—38no—
478C4⋊C4—34no—
479C4⋊C4—34no—
480C4⋊C4—38no—
481C22⋊C4—34no—
482C22⋊C4—38no—
483C22⋊C4—34no—
484C22⋊C4—38no—
485C22⋊C4—38no—
486C22⋊C4—38no—
487C22⋊C4C22×C3×D314yes—
488C22⋊C4C22×C3×D314yes—
489C22⋊C4C22×C3×D318yes—
490C42—38no—
491C22×C3—24no—
492C22×C3—24no—
493C22×C3—24no—
494C22×C3—216no—
495C22×C3—28no—
496C22×C3—28no—
497C22×C3—22no—
498C22×C3—22no—
499C22×C3—22no—
500C22×C3—24no—
501C22×C3—22no—
502C22×C3—24no—
503C22×C3—22no—
504C22×C3—22no—
505C22×C3—24no—
506C22×C3—22no—
507C22×C3—24no—
508C22×C3—22no—
509C22×C3—24no—
510C22×C3—22no—
511C22×C3—24no—
512C22×C3—24no—
513C22×C3—21no—
514C22×C3—44no—
515C22×C3—44no—
516C22×C3—44no—
517C22×C3—44no—
518C22×C3—416no—
519C22×C3—416no—
520C22×C3—48no—
521C22×C3—432no—
522C22×C3—48no—
523C22×C3—44no—
524C22×C3—44no—
525C22×C3—64no—
526C22×C3—68no—
527C22×C3—244no—
528C22×C3C2×#23514yes—
529C22×C3C2×#23512yes—
530C22×C3#100414yes—
531C22×C3C2×C3×#4114yes—
532C22×C3C2×C3×#4112yes—
533C22×C3C3×H(5,𝔽2)14yes—
534C22×C3C24×D311yescharacteristic
535C22×C3C25×C311yescharacteristic
536C2×D3—24no—
537C2×D3—28no—
538C2×D3—84no—
539C3×C4—24no—
540C3×C4—24no—
541C3×C4—24no—
542C3×C4—24no—
543C3×C4—44no—
544C3×C4—44no—
545C3×C4—64no—
546C3×C4—68no—
547Dic3—24no—
548Dic3—28no—
549C32#349011yescharacteristic, complemented, Sylow
550C23—22no—
551C23—24no—
552C23—28no—
553C23—22no—
554C23—28no—
555C23—34no—
556C23—42no—
557C23—44no—
558C23—42no—
559C23—416no—
560C23—64no—
561C23—124no—
562C23C3×#23514yescomplemented
563C23C23×C3×D312yes—
564C23C23×C3×D311yescharacteristic
565C23C23×C3×D312yes—
566C23C23×C3×D312yes—
567Q8—124no—
568D4—68no—
569D4—68no—
570D4—616no—
571D4—124no—
572D4—128no—
573C2×C4—28no—
574C2×C4—34no—
575C2×C4—38no—
576C2×C4—42no—
577C2×C4—44no—
578C2×C4—42no—
579C2×C4—64no—
580C2×C4—128no—
581C2×C4—124no—
582C2×C4C23×C3×D314yes—
583C2×C4C23×C3×D314yes—
584C2×C3—24no—
585C2×C3—28no—
586C2×C3—24no—
587C2×C3—22no—
588C2×C3—24no—
589C2×C3—22no—
590C2×C3—24no—
591C2×C3—24no—
592C2×C3—21no—
593C2×C3—22no—
594C2×C3—44no—
595C2×C3—44no—
596C2×C3—42no—
597C2×C3—42no—
598C2×C3—124no—
599C2×C3C22×#23511yescharacteristic
600C2×C3C2×#100412yes—
601C2×C3C22×C3×#4111yescharacteristic
602C2×C3C2×C3×H(5,𝔽2)12yes—
603D3—44no—
604C22—28no—
605C22—22no—
606C22—22no—
607C22—22no—
608C22—24no—
609C22—22no—
610C22—24no—
611C22—44no—
612C22—416no—
613C22—44no—
614C22—64no—
615C22—68no—
616C22—244no—
617C22C2×C3×#23514yes—
618C22C2×C3×#23512yes—
619C22C3×#100414yes—
620C22C24×C3×D311yescharacteristic
621C4—24no—
622C4—24no—
623C4—64no—
624C4—68no—
625C3—21no—
626C3#8569711yescharacteristic, direct product factor
627C3C3×#349011yescharacteristic, complemented
628C2—22no—
629C2—24no—
630C2—24no—
631C2—42no—
632C2—124no—
633C2C22×C3×#23511yescharacteristic
634C2C2×C3×#100412yes—
subgroupG/H
centerC22×C3C24×D3
commutator, cosocleC22×C3C25×C3
FrattiniC22C24×C3×D3
FittingC22×C32×C22⋊C4C2
socleC22×C32C25
hypercenterC22×C3×C22⋊C4D3
hypocenterC3C3×#3490
LCSG ▷ C22×C3 ▷ C3
UCSC1 ◁ C22×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. C3×#5791C2semidirect
4. C3×#5495C2semidirect
5. C3×#5494C2semidirect
6. C3×#5493C2semidirect
7. C3×#5490C2semidirect
8. C3×#5486C2semidirect
9. C3×#5483C2semidirect
11. #85697C3direct (N × H)
13. C23×C32×C4C22semidirect
15. C22×C3×#67C22semidirect
16. C2×C3×#235C22semidirect
19. C2×C32×C22⋊C4C22semidirect
20. C2×C32×C22⋊C4C22semidirect
22. C3×#953C22semidirect
23. C3×#953C22semidirect
25. C2×C3×#217C22semidirect
26. C3×#930C22semidirect
27. C3×#930C22semidirect
28. C3×#929C22semidirect
29. C3×C4×#67C22semidirect
30. C3×C4×#67C22semidirect
31. C3×#926C22semidirect
32. C3×#924C22semidirect
33. C3×#924C22semidirect
34. C3×#886C22semidirect
35. C3×#885C22semidirect
36. C3×#884C22semidirect
37. C3×#883C22semidirect
38. C3×#882C22semidirect
39. C3×#67⋊C4C22semidirect
40. C3×D3×C22⋊C4C22semidirect
41. C3×#879C22semidirect
42. C3×#878C22semidirect
43. C3×#877C22semidirect
53. C22×C3×C22⋊C4D3semidirect
54. C22×C3×C22⋊C4C2×C3semidirect
55. C2×#953C2×C3semidirect
56. #5791C2×C3semidirect
57. #5495C2×C3semidirect
58. #5494C2×C3semidirect
59. #5493C2×C3semidirect
60. #5490C2×C3semidirect
61. #5486C2×C3semidirect
62. #5483C2×C3semidirect
84. C2×C3×D12C23semidirect
85. C2×C3×C4×D3C23semidirect
86. C2×C3×Dic6C23semidirect
94. C3×(C2×D3)⋊C4C23semidirect
95. C3×(C2×D3)⋊C4C23semidirect
96. C3×C4⋊Dic3C23semidirect
97. C3×C4⋊Dic3C23semidirect
98. C3×Dic3⋊C4C23semidirect
99. C3×Dic3⋊C4C23semidirect
100. C3×C4×Dic3C23semidirect
109. C23×C3×C4C2×D3semidirect
110. C23×C3×C4C22×C3semidirect
112. C22×#67C22×C3semidirect
113. C2×#235C22×C3semidirect
143. C2×C3×C22⋊C4C2×D3semidirect
144. C2×C3×C22⋊C4C2×D3semidirect
147. C2×C3×C22⋊C4C22×C3semidirect
148. C2×C3×C22⋊C4C22×C3semidirect
150. #953C22×C3semidirect
151. #953C22×C3semidirect
153. C2×#217C22×C3semidirect
154. #930C22×C3semidirect
155. #930C22×C3semidirect
156. #929C22×C3semidirect
157. C4×#67C22×C3semidirect
158. C4×#67C22×C3semidirect
159. #926C22×C3semidirect
160. #924C22×C3semidirect
161. #924C22×C3semidirect
162. #886C22×C3semidirect
163. #885C22×C3semidirect
164. #884C22×C3semidirect
165. #883C22×C3semidirect
166. #882C22×C3semidirect
167. #67⋊C4C22×C3semidirect
168. D3×C22⋊C4C22×C3semidirect
169. #879C22×C3semidirect
170. #878C22×C3semidirect
171. #877C22×C3semidirect
181. C23×C32#41semidirect
214. C22×C22⋊C4C3×D3semidirect
271. C2×D12C23×C3semidirect
272. C2×C4×D3C23×C3semidirect
273. C2×Dic6C23×C3semidirect
298. (C2×D3)⋊C4C23×C3semidirect
299. (C2×D3)⋊C4C23×C3semidirect
300. C4⋊Dic3C23×C3semidirect
301. C4⋊Dic3C23×C3semidirect
302. Dic3⋊C4C23×C3semidirect
303. Dic3⋊C4C23×C3semidirect
304. C4×Dic3C23×C3semidirect
330. C23×C4C2×C3×D3semidirect
356. C2×C22⋊C4C2×C3×D3semidirect
357. C2×C22⋊C4C2×C3×D3semidirect
393. C23×C3#235semidirect
394. C23×C3C3×#41semidirect
549. C32#3490semidirect
562. C23C3×#235semidirect
626. C3#85697direct (N × H)
627. C3C3×#3490semidirect

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
C3×#57912
C3×#54952
C3×#54942
C3×#54932
C3×#54902
C3×#54862
C3×#54832
C3×#34903
#856973