Finite Group Databasebeta

← C3×#24236 #10642843

Subgroups — C3×#24236 #10642843

Order 768.

1974 conjugacy classes of subgroups.

The subgroup lattice has 722 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C3×D42C211yesmaximal, characteristic, complemented
2C2×C3×#459C211yesmaximal, characteristic, complemented
3C2×C3×#447C212yesmaximal, complemented
4C2×C3×C4×D8C211yesmaximal, characteristic, complemented
5C3×#2537C211yesmaximal, characteristic, complemented
6C3×#2033C212yesmaximal, complemented
7C3×#1999C212yesmaximal, complemented
8C3×#1957C211yesmaximal, characteristic, complemented
9C3×#1954C211yesmaximal, characteristic, complemented
10C3×#1802C211yesmaximal, characteristic, complemented
11C3×#1786C212yesmaximal, complemented
12#24236C311yesmaximal, characteristic, direct product factor, Sylow
13C23×C3×D4—21no—
14C23×C3×D4C2212yes—
15C22×C3×D8C2211yescharacteristic
16C22×C3×D8C2212yescomplemented
17C3×D42—24no—
18C3×D42—24no—
19C2×C3×#127C2211yescharacteristic
20C2×C3×#121—21no—
21C2×C3×#121—21no—
22C2×C3×#121C2212yes—
23C2×C3×#121C2212yescomplemented
24C2×C3×#120—22no—
25C2×C3×C4×D4C2211yescharacteristic
26C2×C3×C4×D4C2211yescharacteristic
27C2×C3×C4×D4C2211yescharacteristic, complemented
28C3×#459—24no—
29C3×#447—28no—
30C3×C4×D8—24no—
31C2×C3×#107C2211yescharacteristic, complemented
32C2×C3×C4⋊C8C2211yescharacteristic, complemented
33C2×C3×#102C2211yescharacteristic
34C2×C3×#102C2212yes—
35C2×C3×#102C2211yescharacteristic, complemented
36C2×C3×#102C2212yescomplemented
37C2×C3×#102C2212yescomplemented
38C2×C3×#102C2212yescomplemented
39C2×C3×C22⋊C8C2212yescomplemented
40C2×C3×C22⋊C8C2212yescomplemented
41C2×C3×C4×C8C2211yescharacteristic, complemented
42C3×#394—22no—
43C3×#384C2211yescharacteristic, complemented
44C3×#380—21no—
45C3×#380C2212yescomplemented
46C3×#340C2212yescomplemented
47C2×D42C2×C311yescharacteristic, complemented
48C2×#459C2×C311yescharacteristic, complemented
49C2×#447C2×C312yescomplemented
50C2×C4×D8C2×C311yescharacteristic, complemented
51#2537C2×C311yescharacteristic, complemented
52#2033C2×C312yescomplemented
53#1999C2×C312yescomplemented
54#1957C2×C311yescharacteristic, complemented
55#1954C2×C311yescharacteristic, complemented
56#1802C2×C311yescharacteristic, complemented
57#1786C2×C312yescomplemented
58C25×C3—22no—
59C22×C3×D4—28no—
60C22×C3×D4—22no—
61C22×C3×D4—24no—
62C22×C3×D4—24no—
63C22×C3×D4—24no—
64C22×C3×D4—24no—
65C22×C3×D4—22no—
66C22×C3×D4—21no—
67C22×C3×D4—22no—
68C22×C3×D4—21no—
69C22×C3×D4—42no—
70C22×C3×D4—42no—
71C22×C3×D4—44no—
72C22×C3×D4—44no—
73C22×C3×D4D411yescharacteristic
74C22×C3×D4C2312yes—
75C22×C3×D4C2311yescharacteristic
76C22×C3×D4C2311yescharacteristic
77C23×C3×C4—21no—
78C23×C3×C4—21no—
79C23×C3×C4C2312yes—
80C2×C3×D8—22no—
81C2×C3×D8—22no—
82C2×C3×D8—24no—
83C2×C3×D8—24no—
84C2×C3×D8—42no—
85C2×C3×D8D414yescomplemented
86C22×C3×C8C2312yes—
87C22×C3×C8C2311yescharacteristic
88C22×C3×C8C2311yescharacteristic
89C3×#127—22no—
90C3×#127D414yescomplemented
91C3×#121—28no—
92C3×#121—24no—
93C3×#121—24no—
94C3×#121—24no—
95C3×#121—42no—
96C3×#121—44no—
97C3×#120—216no—
98C3×C4×D4—22no—
99C3×C4×D4—22no—
100C3×C4×D4—22no—
101C3×C4×D4—22no—
102C3×C4×D4—22no—
103C3×C4×D4D414yescomplemented
104C2×C3×C4⋊C4—21no—
105C2×C3×C4⋊C4—21no—
106C2×C3×C4⋊C4D411yescharacteristic
107C2×C3×C4⋊C4C2311yescharacteristic
108C2×C3×C4⋊C4C2312yes—
109C2×C3×C4⋊C4C2311yescharacteristic
110C2×C3×C22⋊C4—21no—
111C2×C3×C22⋊C4—22no—
112C2×C3×C22⋊C4—22no—
113C2×C3×C22⋊C4—22no—
114C2×C3×C22⋊C4—21no—
115C2×C3×C22⋊C4D412yes—
116C2×C3×C42C2311yescharacteristic
117C3×#107—22no—
118C3×C4⋊C8—22no—
119C3×#102—22no—
120C3×#102—24no—
121C3×#102—24no—
122C3×#102—24no—
123C3×#102—22no—
124C3×#102—42no—
125C3×C22⋊C8—24no—
126C3×C22⋊C8—42no—
127C3×C4×C8—22no—
128C3×#95—22no—
129C23×D4—21no—
130C23×D4C22×C312yes—
131C22×D8C22×C311yescharacteristic
132C22×D8C22×C312yescomplemented
133D42—24no—
134D42—24no—
135C2×#127C22×C311yescharacteristic
136C2×#121—21no—
137C2×#121—21no—
138C2×#121C22×C312yes—
139C2×#121C22×C312yescomplemented
140C2×#120—22no—
141C2×C4×D4C22×C311yescharacteristic
142C2×C4×D4C22×C311yescharacteristic
143C2×C4×D4C22×C311yescharacteristic, complemented
144#459—24no—
145#447—28no—
146C4×D8—24no—
147C2×#107C22×C311yescharacteristic, complemented
148C2×C4⋊C8C22×C311yescharacteristic, complemented
149C2×#102C22×C312yes—
150C2×#102C22×C311yescharacteristic
151C2×#102C22×C311yescharacteristic, complemented
152C2×#102C22×C312yescomplemented
153C2×#102C22×C312yescomplemented
154C2×#102C22×C312yescomplemented
155C2×C22⋊C8C22×C312yescomplemented
156C2×C22⋊C8C22×C312yescomplemented
157C2×C4×C8C22×C311yescharacteristic, complemented
158#394—22no—
159#384C22×C311yescharacteristic, complemented
160#380—21no—
161#380C22×C312yescomplemented
162#340C22×C312yescomplemented
163C24×C3—21no—
164C24×C3—28no—
165C24×C3—22no—
166C24×C3—21no—
167C24×C3—44no—
168C24×C3—44no—
169C24×C3—44no—
170C24×C3—44no—
171C24×C3—82no—
172C24×C3—82no—
173C24×C3C2×D412yes—
174C2×C3×D4—28no—
175C2×C3×D4—28no—
176C2×C3×D4—22no—
177C2×C3×D4—24no—
178C2×C3×D4—24no—
179C2×C3×D4—22no—
180C2×C3×D4—21no—
181C2×C3×D4—21no—
182C2×C3×D4—22no—
183C2×C3×D4—21no—
184C2×C3×D4—22no—
185C2×C3×D4—21no—
186C2×C3×D4—22no—
187C2×C3×D4—21no—
188C2×C3×D4—21no—
189C2×C3×D4—22no—
190C2×C3×D4—21no—
191C2×C3×D4—22no—
192C2×C3×D4—21no—
193C2×C3×D4—44no—
194C2×C3×D4—44no—
195C2×C3×D4—48no—
196C2×C3×D4—48no—
197C2×C3×D4—48no—
198C2×C3×D4—432no—
199C2×C3×D4—44no—
200C2×C3×D4—44no—
201C2×C3×D4—48no—
202C2×C3×D4—44no—
203C2×C3×D4—44no—
204C2×C3×D4—42no—
205C2×C3×D4—42no—
206C2×C3×D4—81no—
207C2×C3×D4—81no—
208C2×C3×D4—82no—
209C2×C3×D4D814yescomplemented
210C2×C3×D4C2×D414yes—
211C2×C3×D4C2×D412yes—
212C2×C3×D4C2×D412yes—
213C2×C3×D4C2×D412yescomplemented
214C2×C3×D4#4112yes—
215C22×C3×C4—21no—
216C22×C3×C4—24no—
217C22×C3×C4—22no—
218C22×C3×C4—22no—
219C22×C3×C4—22no—
220C22×C3×C4—22no—
221C22×C3×C4—22no—
222C22×C3×C4—22no—
223C22×C3×C4—21no—
224C22×C3×C4—22no—
225C22×C3×C4—42no—
226C22×C3×C4—42no—
227C22×C3×C4—42no—
228C22×C3×C4—42no—
229C22×C3×C4—42no—
230C22×C3×C4C2×D412yes—
231C22×C3×C4C2×D411yescharacteristic
232C22×C3×C4C2×D411yescharacteristic
233C22×C3×C4C2411yescharacteristic
234C3×D8—28no—
235C3×D8—48no—
236C2×C3×C8—21no—
237C2×C3×C8—21no—
238C2×C3×C8—21no—
239C2×C3×C8—22no—
240C2×C3×C8—22no—
241C2×C3×C8—21no—
242C2×C3×C8—22no—
243C2×C3×C8—21no—
244C2×C3×C8C2×D412yescomplemented
245C3×C4⋊C4—22no—
246C3×C4⋊C4—21no—
247C3×C4⋊C4—21no—
248C3×C4⋊C4—22no—
249C3×C4⋊C4—21no—
250C3×C4⋊C4—22no—
251C3×C4⋊C4—42no—
252C3×C4⋊C4—81no—
253C3×C4⋊C4C2×D412yes—
254C3×C22⋊C4—28no—
255C3×C22⋊C4—24no—
256C3×C22⋊C4—24no—
257C3×C22⋊C4—44no—
258C3×C22⋊C4—44no—
259C3×C22⋊C4—42no—
260C3×C42C2×D412yes—
261C3×C42C2×D412yes—
262C25—22no—
263C22×D4—28no—
264C22×D4—22no—
265C22×D4—24no—
266C22×D4—24no—
267C22×D4—24no—
268C22×D4—24no—
269C22×D4—22no—
270C22×D4—22no—
271C22×D4—21no—
272C22×D4—21no—
273C22×D4—42no—
274C22×D4—42no—
275C22×D4—44no—
276C22×D4—44no—
277C22×D4C3×D411yescharacteristic
278C22×D4C23×C312yes—
279C22×D4C23×C311yescharacteristic
280C22×D4C23×C311yescharacteristic
281C23×C4—21no—
282C23×C4—21no—
283C23×C4C23×C312yes—
284C2×D8—22no—
285C2×D8—22no—
286C2×D8—24no—
287C2×D8—24no—
288C2×D8—42no—
289C2×D8C3×D414yescomplemented
290C22×C8C23×C312yes—
291C22×C8C23×C311yescharacteristic
292C22×C8C23×C311yescharacteristic
293#127—22no—
294#127C3×D414yescomplemented
295#121—28no—
296#121—24no—
297#121—24no—
298#121—24no—
299#121—42no—
300#121—44no—
301#120—216no—
302C4×D4—22no—
303C4×D4—22no—
304C4×D4—22no—
305C4×D4—22no—
306C4×D4—22no—
307C4×D4C3×D414yescomplemented
308C2×C4⋊C4—21no—
309C2×C4⋊C4—21no—
310C2×C4⋊C4C3×D411yescharacteristic
311C2×C4⋊C4C23×C311yescharacteristic
312C2×C4⋊C4C23×C312yes—
313C2×C4⋊C4C23×C311yescharacteristic
314C2×C22⋊C4—21no—
315C2×C22⋊C4—22no—
316C2×C22⋊C4—22no—
317C2×C22⋊C4—21no—
318C2×C22⋊C4—22no—
319C2×C22⋊C4C3×D412yes—
320C2×C42C23×C311yescharacteristic
321#107—22no—
322C4⋊C8—22no—
323#102—22no—
324#102—24no—
325#102—24no—
326#102—24no—
327#102—22no—
328#102—42no—
329C22⋊C8—24no—
330C22⋊C8—42no—
331C4×C8—22no—
332#95—22no—
333C23×C3—22no—
334C23×C3—22no—
335C23×C3—22no—
336C23×C3—22no—
337C23×C3—22no—
338C23×C3—22no—
339C23×C3—22no—
340C23×C3—22no—
341C23×C3—22no—
342C23×C3—24no—
343C23×C3—22no—
344C23×C3—416no—
345C23×C3—416no—
346C23×C3—41no—
347C23×C3—41no—
348C23×C3—41no—
349C23×C3—41no—
350C23×C3—41no—
351C23×C3—42no—
352C23×C3—42no—
353C23×C3—41no—
354C23×C3—41no—
355C23×C3—42no—
356C23×C3—41no—
357C23×C3—42no—
358C23×C3—41no—
359C23×C3—42no—
360C23×C3—42no—
361C23×C3—41no—
362C23×C3—88no—
363C23×C3—88no—
364C23×C3—88no—
365C23×C3—88no—
366C23×C3—88no—
367C23×C3C2×D814yes—
368C23×C3C22×D411yescharacteristic
369C3×D4—22no—
370C3×D4—22no—
371C3×D4—22no—
372C3×D4—22no—
373C3×D4—24no—
374C3×D4—22no—
375C3×D4—24no—
376C3×D4—28no—
377C3×D4—416no—
378C3×D4—416no—
379C3×D4—42no—
380C3×D4—41no—
381C3×D4—42no—
382C3×D4—41no—
383C3×D4—48no—
384C3×D4—84no—
385C3×D4—88no—
386C3×D4#12114yescomplemented
387C2×C3×C4—21no—
388C2×C3×C4—21no—
389C2×C3×C4—22no—
390C2×C3×C4—22no—
391C2×C3×C4—22no—
392C2×C3×C4—22no—
393C2×C3×C4—41no—
394C2×C3×C4—41no—
395C2×C3×C4—42no—
396C2×C3×C4—42no—
397C2×C3×C4—42no—
398C2×C3×C4—42no—
399C2×C3×C4—48no—
400C2×C3×C4—41no—
401C2×C3×C4—42no—
402C2×C3×C4—41no—
403C2×C3×C4—42no—
404C2×C3×C4—41no—
405C2×C3×C4—42no—
406C2×C3×C4—84no—
407C2×C3×C4#12012yes—
408C2×C3×C4#12012yes—
409C2×C3×C4C2×D812yes—
410C2×C3×C4AGL(1,ℤ/8)12yes—
411C2×C3×C4C22×D411yescharacteristic
412C2×C3×C4C22×D411yescharacteristic
413C2×C3×C4C22×D411yescharacteristic
414C2×C3×C4C2×#4111yescharacteristic
415C2×C3×C4H(5,𝔽2)11yescharacteristic
416C2×C3×C4H(5,𝔽2)11yescharacteristic
417C3×C8—22no—
418C3×C8—41no—
419C3×C8—42no—
420C24—21no—
421C24—28no—
422C24—21no—
423C24—22no—
424C24—44no—
425C24—44no—
426C24—44no—
427C24—44no—
428C24—82no—
429C24—82no—
430C24C2×C3×D412yes—
431C2×D4—28no—
432C2×D4—28no—
433C2×D4—22no—
434C2×D4—24no—
435C2×D4—24no—
436C2×D4—22no—
437C2×D4—21no—
438C2×D4—21no—
439C2×D4—22no—
440C2×D4—21no—
441C2×D4—22no—
442C2×D4—21no—
443C2×D4—22no—
444C2×D4—21no—
445C2×D4—21no—
446C2×D4—22no—
447C2×D4—21no—
448C2×D4—22no—
449C2×D4—21no—
450C2×D4—44no—
451C2×D4—44no—
452C2×D4—48no—
453C2×D4—48no—
454C2×D4—432no—
455C2×D4—48no—
456C2×D4—44no—
457C2×D4—44no—
458C2×D4—48no—
459C2×D4—44no—
460C2×D4—44no—
461C2×D4—42no—
462C2×D4—42no—
463C2×D4—81no—
464C2×D4—81no—
465C2×D4—82no—
466C2×D4C3×D814yescomplemented
467C2×D4C2×C3×D414yes—
468C2×D4C2×C3×D412yes—
469C2×D4C2×C3×D412yes—
470C2×D4C2×C3×D412yescomplemented
471C2×D4C3×#4112yes—
472C22×C4—21no—
473C22×C4—24no—
474C22×C4—22no—
475C22×C4—22no—
476C22×C4—22no—
477C22×C4—22no—
478C22×C4—22no—
479C22×C4—22no—
480C22×C4—21no—
481C22×C4—22no—
482C22×C4—42no—
483C22×C4—42no—
484C22×C4—42no—
485C22×C4—42no—
486C22×C4—42no—
487C22×C4C2×C3×D412yes—
488C22×C4C2×C3×D411yescharacteristic
489C22×C4C2×C3×D411yescharacteristic
490C22×C4C24×C311yescharacteristic
491D8—28no—
492D8—48no—
493C2×C8—21no—
494C2×C8—21no—
495C2×C8—21no—
496C2×C8—22no—
497C2×C8—22no—
498C2×C8—21no—
499C2×C8—22no—
500C2×C8—21no—
501C2×C8C2×C3×D412yescomplemented
502C4⋊C4—22no—
503C4⋊C4—21no—
504C4⋊C4—21no—
505C4⋊C4—22no—
506C4⋊C4—21no—
507C4⋊C4—22no—
508C4⋊C4—42no—
509C4⋊C4—81no—
510C4⋊C4C2×C3×D412yes—
511C22⋊C4—28no—
512C22⋊C4—24no—
513C22⋊C4—24no—
514C22⋊C4—44no—
515C22⋊C4—44no—
516C22⋊C4—42no—
517C42C2×C3×D412yes—
518C42C2×C3×D412yes—
519C22×C3—24no—
520C22×C3—24no—
521C22×C3—24no—
522C22×C3—24no—
523C22×C3—42no—
524C22×C3—42no—
525C22×C3—42no—
526C22×C3—42no—
527C22×C3—42no—
528C22×C3—42no—
529C22×C3—42no—
530C22×C3—42no—
531C22×C3—42no—
532C22×C3—42no—
533C22×C3—44no—
534C22×C3—42no—
535C22×C3—44no—
536C22×C3—44no—
537C22×C3—42no—
538C22×C3—42no—
539C22×C3—832no—
540C22×C3—81no—
541C22×C3—81no—
542C22×C3—82no—
543C22×C3—82no—
544C22×C3—81no—
545C22×C3—82no—
546C22×C3—81no—
547C22×C3—82no—
548C22×C3C2×#12011yescharacteristic
549C22×C3D4211yescharacteristic
550C22×C3#54611yescharacteristic
551C22×C3C22×D811yescharacteristic
552C22×C3C2×AGL(1,ℤ/8)11yescharacteristic
553C22×C3#57611yescharacteristic
554C22×C3#57711yescharacteristic
555C3×C4—22no—
556C3×C4—42no—
557C3×C4—42no—
558C3×C4—81no—
559C3×C4—82no—
560C3×C4#44714yescomplemented
561C3×C4C2×#12111yescharacteristic
562C3×C4#53511yescharacteristic
563C3×C4D4211yescharacteristic
564C3×C4#54611yescharacteristic
565C23—22no—
566C23—22no—
567C23—22no—
568C23—22no—
569C23—22no—
570C23—22no—
571C23—22no—
572C23—22no—
573C23—22no—
574C23—24no—
575C23—22no—
576C23—416no—
577C23—416no—
578C23—41no—
579C23—41no—
580C23—41no—
581C23—41no—
582C23—41no—
583C23—42no—
584C23—41no—
585C23—42no—
586C23—41no—
587C23—42no—
588C23—42no—
589C23—41no—
590C23—41no—
591C23—42no—
592C23—42no—
593C23—41no—
594C23—88no—
595C23—88no—
596C23—88no—
597C23—88no—
598C23—88no—
599C23C2×C3×D814yes—
600C23C22×C3×D411yescharacteristic
601D4—28no—
602D4—22no—
603D4—22no—
604D4—22no—
605D4—22no—
606D4—24no—
607D4—22no—
608D4—24no—
609D4—416no—
610D4—416no—
611D4—48no—
612D4—42no—
613D4—42no—
614D4—41no—
615D4—41no—
616D4—84no—
617D4—88no—
618D4C3×#12114yescomplemented
619C2×C4—21no—
620C2×C4—21no—
621C2×C4—22no—
622C2×C4—22no—
623C2×C4—22no—
624C2×C4—22no—
625C2×C4—41no—
626C2×C4—41no—
627C2×C4—48no—
628C2×C4—42no—
629C2×C4—42no—
630C2×C4—42no—
631C2×C4—42no—
632C2×C4—41no—
633C2×C4—42no—
634C2×C4—41no—
635C2×C4—42no—
636C2×C4—41no—
637C2×C4—42no—
638C2×C4—84no—
639C2×C4C3×#12012yes—
640C2×C4C3×#12012yes—
641C2×C4C2×C3×D812yes—
642C2×C4C3×AGL(1,ℤ/8)12yes—
643C2×C4C22×C3×D411yescharacteristic
644C2×C4C22×C3×D411yescharacteristic
645C2×C4C22×C3×D411yescharacteristic
646C2×C4C2×C3×#4111yescharacteristic
647C2×C4C3×H(5,𝔽2)11yescharacteristic
648C2×C4C3×H(5,𝔽2)11yescharacteristic
649C8—22no—
650C8—41no—
651C8—42no—
652C2×C3—44no—
653C2×C3—44no—
654C2×C3—82no—
655C2×C3—84no—
656C2×C3#240811yescharacteristic
657C2×C3C2×#44711yescharacteristic
658C2×C3#301211yescharacteristic
659C2×C3#327211yescharacteristic
660C2×C3D4×D811yescharacteristic
661C2×C3#329411yescharacteristic
662C2×C3#332511yescharacteristic
663C22—24no—
664C22—24no—
665C22—24no—
666C22—24no—
667C22—42no—
668C22—42no—
669C22—42no—
670C22—42no—
671C22—42no—
672C22—42no—
673C22—42no—
674C22—42no—
675C22—42no—
676C22—42no—
677C22—44no—
678C22—42no—
679C22—44no—
680C22—44no—
681C22—42no—
682C22—42no—
683C22—832no—
684C22—81no—
685C22—81no—
686C22—82no—
687C22—82no—
688C22—82no—
689C22—81no—
690C22—82no—
691C22—81no—
692C22C2×C3×#12011yescharacteristic
693C22C3×D4211yescharacteristic
694C22C3×#54611yescharacteristic
695C22C22×C3×D811yescharacteristic
696C22C2×C3×AGL(1,ℤ/8)11yescharacteristic
697C22C3×#57611yescharacteristic
698C22C3×#57711yescharacteristic
699C4—22no—
700C4—42no—
701C4—42no—
702C4—81no—
703C4—82no—
704C4C3×#44714yescomplemented
705C4C2×C3×#12111yescharacteristic
706C4C3×#53511yescharacteristic
707C4C3×D4211yescharacteristic
708C4C3×#54611yescharacteristic
709C3#2423611yescharacteristic, direct product factor, Sylow
710C2—44no—
711C2—44no—
712C2—84no—
713C2—82no—
714C2C3×#240811yescharacteristic
715C2C2×C3×#44711yescharacteristic
716C2C3×#301211yescharacteristic
717C2C3×#327211yescharacteristic
718C2C3×D4×D811yescharacteristic
719C2C3×#329411yescharacteristic
720C2C3×#332511yescharacteristic
subgroupG/H
center, socleC23×C3C22×D4
commutator, Frattini, cosocleC22×C4C24×C3
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23×C3 ◁ C2×C3×C4×D4 ◁ G

Complements

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

NH ≅ G/Ntype
1. C2×C3×D42C2semidirect
2. C2×C3×#459C2semidirect
3. C2×C3×#447C2semidirect
4. C2×C3×C4×D8C2semidirect
5. C3×#2537C2semidirect
6. C3×#2033C2semidirect
7. C3×#1999C2semidirect
8. C3×#1957C2semidirect
9. C3×#1954C2semidirect
10. C3×#1802C2semidirect
11. C3×#1786C2semidirect
12. #24236C3direct (N × H)
16. C22×C3×D8C22semidirect
23. C2×C3×#121C22semidirect
27. C2×C3×C4×D4C22semidirect
31. C2×C3×#107C22semidirect
32. C2×C3×C4⋊C8C22semidirect
35. C2×C3×#102C22semidirect
36. C2×C3×#102C22semidirect
37. C2×C3×#102C22semidirect
38. C2×C3×#102C22semidirect
39. C2×C3×C22⋊C8C22semidirect
40. C2×C3×C22⋊C8C22semidirect
41. C2×C3×C4×C8C22semidirect
43. C3×#384C22semidirect
45. C3×#380C22semidirect
46. C3×#340C22semidirect
47. C2×D42C2×C3semidirect
48. C2×#459C2×C3semidirect
49. C2×#447C2×C3semidirect
50. C2×C4×D8C2×C3semidirect
51. #2537C2×C3semidirect
52. #2033C2×C3semidirect
53. #1999C2×C3semidirect
54. #1957C2×C3semidirect
55. #1954C2×C3semidirect
56. #1802C2×C3semidirect
57. #1786C2×C3semidirect
85. C2×C3×D8D4semidirect
90. C3×#127D4semidirect
103. C3×C4×D4D4semidirect
132. C22×D8C22×C3semidirect
139. C2×#121C22×C3semidirect
143. C2×C4×D4C22×C3semidirect
147. C2×#107C22×C3semidirect
148. C2×C4⋊C8C22×C3semidirect
151. C2×#102C22×C3semidirect
152. C2×#102C22×C3semidirect
153. C2×#102C22×C3semidirect
154. C2×#102C22×C3semidirect
155. C2×C22⋊C8C22×C3semidirect
156. C2×C22⋊C8C22×C3semidirect
157. C2×C4×C8C22×C3semidirect
159. #384C22×C3semidirect
161. #380C22×C3semidirect
162. #340C22×C3semidirect
209. C2×C3×D4D8semidirect
213. C2×C3×D4C2×D4semidirect
244. C2×C3×C8C2×D4semidirect
289. C2×D8C3×D4semidirect
294. #127C3×D4semidirect
307. C4×D4C3×D4semidirect
386. C3×D4#121semidirect
466. C2×D4C3×D8semidirect
470. C2×D4C2×C3×D4semidirect
501. C2×C8C2×C3×D4semidirect
560. C3×C4#447semidirect
618. D4C3×#121semidirect
704. C4C3×#447semidirect
709. C3#24236direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C3×D422
C2×C3×#4592
C2×C3×#4472
C2×C3×C4×D82
C3×#25372
C3×#20332
C3×#19992
C3×#19572
C3×#19542
C3×#18022
C3×#17862
#242363