Finite Group Databasebeta

← C3×#14813 #10633420

Subgroups — C3×#14813 #10633420

Order 768.

1786 conjugacy classes of subgroups.

The subgroup lattice has 724 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C3×#394C211yesmaximal, characteristic
2C2×C3×#390C211yesmaximal, characteristic
3C2×C3×#388C212yesmaximal, complemented
4C2×C3×#387C211yesmaximal, characteristic, complemented
5C2×C3×C4×C4⋊C4C211yesmaximal, characteristic, complemented
6C3×#1442C211yesmaximal, characteristic, complemented
7C3×#1441C211yesmaximal, characteristic, complemented
8C3×#1439C212yesmaximal, complemented
9C3×#1439C212yesmaximal, complemented
10C3×#1438C211yesmaximal, characteristic
11C3×#1437C212yesmaximal, complemented
12#14813C311yesmaximal, characteristic, direct product factor, Sylow
13C23×C3×D4C2211yescharacteristic
14C22×C3×C4⋊C4C2211yescharacteristic
15C22×C3×C4⋊C4C2212yes—
16C22×C3×C4⋊C4C2211yescharacteristic
17C22×C3×C4⋊C4C2211yescharacteristic
18C22×C3×C22⋊C4C2212yes—
19C22×C3×C22⋊C4C2212yes—
20C22×C3×C22⋊C4C2212yes—
21C22×C3×C22⋊C4C2212yes—
22C22×C3×C22⋊C4C2212yes—
23C22×C3×C22⋊C4C2212yes—
24C22×C3×C42C2212yes—
25C22×C3×C42C2211yescharacteristic
26C3×#394—24no—
27C3×#390—24no—
28C3×#388—28no—
29C3×#387—24no—
30C3×C4×C4⋊C4—24no—
31C2×C3×#95C2211yescharacteristic
32C2×C3×#95C2211yescharacteristic
33C2×C3×#95C2211yescharacteristic
34C2×C3×#95C2211yescharacteristic
35C2×C3×#95C2211yescharacteristic
36C2×C3×#95C2212yes—
37C2×C3×#95C2212yes—
38C2×C3×#95C2212yes—
39C2×C3×#95C2212yes—
40C2×C3×#95C2211yescharacteristic
41C2×#394C2×C311yescharacteristic
42C2×#390C2×C311yescharacteristic
43C2×#388C2×C312yescomplemented
44C2×#387C2×C311yescharacteristic, complemented
45C2×C4×C4⋊C4C2×C311yescharacteristic, complemented
46#1442C2×C311yescharacteristic, complemented
47#1441C2×C311yescharacteristic, complemented
48#1439C2×C312yescomplemented
49#1439C2×C312yescomplemented
50#1438C2×C311yescharacteristic
51#1437C2×C312yescomplemented
52C25×C3C2312yes—
53C22×C3×D4—24no—
54C22×C3×D4—22no—
55C22×C3×D4—22no—
56C22×C3×D4—22no—
57C22×C3×D4—42no—
58C23×C3×C4C2311yescharacteristic
59C23×C3×C4C2312yes—
60C23×C3×C4C2311yescharacteristic
61C23×C3×C4C2311yescharacteristic
62C23×C3×C4C2312yes—
63C23×C3×C4C2311yescharacteristic
64C23×C3×C4C2312yes—
65C23×C3×C4C2311yescharacteristic
66C23×C3×C4C2311yescharacteristic
67C23×C3×C4C2311yescharacteristic
68C2×C3×C4⋊C4—24no—
69C2×C3×C4⋊C4—22no—
70C2×C3×C4⋊C4—24no—
71C2×C3×C4⋊C4—24no—
72C2×C3×C4⋊C4—22no—
73C2×C3×C4⋊C4—22no—
74C2×C3×C4⋊C4—22no—
75C2×C3×C4⋊C4—22no—
76C2×C3×C4⋊C4—22no—
77C2×C3×C4⋊C4—42no—
78C2×C3×C4⋊C4D414yescomplemented
79C2×C3×C22⋊C4—24no—
80C2×C3×C22⋊C4—24no—
81C2×C3×C22⋊C4—24no—
82C2×C3×C22⋊C4—24no—
83C2×C3×C22⋊C4—24no—
84C2×C3×C22⋊C4—24no—
85C2×C3×C22⋊C4—24no—
86C2×C3×C22⋊C4—24no—
87C2×C3×C22⋊C4—24no—
88C2×C3×C22⋊C4—24no—
89C2×C3×C22⋊C4—24no—
90C2×C3×C22⋊C4—24no—
91C2×C3×C22⋊C4—24no—
92C2×C3×C22⋊C4—24no—
93C2×C3×C22⋊C4—42no—
94C2×C3×C22⋊C4—42no—
95C2×C3×C22⋊C4—42no—
96C2×C3×C22⋊C4—42no—
97C2×C3×C42—22no—
98C2×C3×C42—22no—
99C2×C3×C42—24no—
100C2×C3×C42—24no—
101C2×C3×C42—42no—
102C2×C3×C42D414yes—
103C3×#95—22no—
104C3×#95—22no—
105C3×#95—22no—
106C3×#95—22no—
107C3×#95—22no—
108C3×#95—24no—
109C3×#95—24no—
110C3×#95—42no—
111C3×#95—42no—
112C3×#95D414yes—
113C23×D4C22×C311yescharacteristic
114C22×C4⋊C4C22×C311yescharacteristic
115C22×C4⋊C4C22×C312yes—
116C22×C4⋊C4C22×C311yescharacteristic
117C22×C4⋊C4C22×C311yescharacteristic
118C22×C22⋊C4C22×C312yes—
119C22×C22⋊C4C22×C312yes—
120C22×C22⋊C4C22×C312yes—
121C22×C22⋊C4C22×C312yes—
122C22×C22⋊C4C22×C312yes—
123C22×C22⋊C4C22×C312yes—
124C22×C42C22×C312yes—
125C22×C42C22×C311yescharacteristic
126#394—24no—
127#390—24no—
128#388—28no—
129#387—24no—
130C4×C4⋊C4—24no—
131C2×#95C22×C311yescharacteristic
132C2×#95C22×C311yescharacteristic
133C2×#95C22×C311yescharacteristic
134C2×#95C22×C311yescharacteristic
135C2×#95C22×C311yescharacteristic
136C2×#95C22×C312yes—
137C2×#95C22×C312yes—
138C2×#95C22×C312yes—
139C2×#95C22×C312yes—
140C2×#95C22×C311yescharacteristic
141C24×C3—22no—
142C24×C3—22no—
143C24×C3—22no—
144C24×C3—22no—
145C24×C3—22no—
146C24×C3—22no—
147C24×C3—22no—
148C24×C3—22no—
149C24×C3—22no—
150C24×C3—22no—
151C24×C3—22no—
152C24×C3—22no—
153C24×C3—22no—
154C24×C3—22no—
155C24×C3#4114yes—
156C24×C3C2411yescharacteristic
157C2×C3×D4—28no—
158C2×C3×D4—48no—
159C2×C3×D4—48no—
160C2×C3×D4—44no—
161C2×C3×D4—44no—
162C22×C3×C4—21no—
163C22×C3×C4—21no—
164C22×C3×C4—21no—
165C22×C3×C4—21no—
166C22×C3×C4—22no—
167C22×C3×C4—22no—
168C22×C3×C4—21no—
169C22×C3×C4—22no—
170C22×C3×C4—21no—
171C22×C3×C4—21no—
172C22×C3×C4—22no—
173C22×C3×C4—22no—
174C22×C3×C4—22no—
175C22×C3×C4—21no—
176C22×C3×C4—21no—
177C22×C3×C4—22no—
178C22×C3×C4—22no—
179C22×C3×C4—22no—
180C22×C3×C4—22no—
181C22×C3×C4—21no—
182C22×C3×C4—21no—
183C22×C3×C4—22no—
184C22×C3×C4—22no—
185C22×C3×C4—22no—
186C22×C3×C4—21no—
187C22×C3×C4—22no—
188C22×C3×C4—22no—
189C22×C3×C4—22no—
190C22×C3×C4—22no—
191C22×C3×C4—21no—
192C22×C3×C4—21no—
193C22×C3×C4—21no—
194C22×C3×C4—22no—
195C22×C3×C4—21no—
196C22×C3×C4—22no—
197C22×C3×C4—21no—
198C22×C3×C4—22no—
199C22×C3×C4—22no—
200C22×C3×C4—22no—
201C22×C3×C4—22no—
202C22×C3×C4—22no—
203C22×C3×C4—21no—
204C22×C3×C4—22no—
205C22×C3×C4—22no—
206C22×C3×C4—22no—
207C22×C3×C4—22no—
208C22×C3×C4—21no—
209C22×C3×C4—21no—
210C22×C3×C4C2×D412yes—
211C22×C3×C4C2×D412yes—
212C22×C3×C4C2×D414yes—
213C22×C3×C4C2×D412yes—
214C22×C3×C4C2×D412yes—
215C22×C3×C4C2×D412yes—
216C22×C3×C4C2×D412yes—
217C22×C3×C4C2×D412yes—
218C22×C3×C4#4114yes—
219C22×C3×C4#4112yes—
220C22×C3×C4#4112yes—
221C22×C3×C4#4114yes—
222C3×C4⋊C4—216no—
223C3×C4⋊C4—28no—
224C3×C4⋊C4—44no—
225C3×C4⋊C4—44no—
226C3×C22⋊C4—216no—
227C3×C22⋊C4—48no—
228C3×C22⋊C4—48no—
229C3×C22⋊C4—48no—
230C3×C22⋊C4—48no—
231C3×C22⋊C4—48no—
232C3×C42—28no—
233C3×C42—48no—
234C25C23×C312yes—
235C22×D4—24no—
236C22×D4—22no—
237C22×D4—22no—
238C22×D4—22no—
239C22×D4—42no—
240C23×C4C23×C312yes—
241C23×C4C23×C311yescharacteristic
242C23×C4C23×C311yescharacteristic
243C23×C4C23×C311yescharacteristic
244C23×C4C23×C311yescharacteristic
245C23×C4C23×C312yes—
246C23×C4C23×C312yes—
247C23×C4C23×C311yescharacteristic
248C23×C4C23×C311yescharacteristic
249C23×C4C23×C311yescharacteristic
250C2×C4⋊C4—24no—
251C2×C4⋊C4—22no—
252C2×C4⋊C4—24no—
253C2×C4⋊C4—24no—
254C2×C4⋊C4—22no—
255C2×C4⋊C4—22no—
256C2×C4⋊C4—22no—
257C2×C4⋊C4—22no—
258C2×C4⋊C4—22no—
259C2×C4⋊C4—42no—
260C2×C4⋊C4C3×D414yescomplemented
261C2×C22⋊C4—24no—
262C2×C22⋊C4—24no—
263C2×C22⋊C4—24no—
264C2×C22⋊C4—24no—
265C2×C22⋊C4—24no—
266C2×C22⋊C4—24no—
267C2×C22⋊C4—24no—
268C2×C22⋊C4—24no—
269C2×C22⋊C4—24no—
270C2×C22⋊C4—24no—
271C2×C22⋊C4—24no—
272C2×C22⋊C4—24no—
273C2×C22⋊C4—24no—
274C2×C22⋊C4—24no—
275C2×C22⋊C4—42no—
276C2×C22⋊C4—42no—
277C2×C22⋊C4—42no—
278C2×C22⋊C4—42no—
279C2×C42—22no—
280C2×C42—22no—
281C2×C42—24no—
282C2×C42—24no—
283C2×C42—42no—
284C2×C42C3×D414yes—
285#95—22no—
286#95—22no—
287#95—22no—
288#95—22no—
289#95—22no—
290#95—24no—
291#95—24no—
292#95—42no—
293#95—42no—
294#95C3×D414yes—
295C23×C3—24no—
296C23×C3—24no—
297C23×C3—24no—
298C23×C3—24no—
299C23×C3—24no—
300C23×C3—24no—
301C23×C3—24no—
302C23×C3—42no—
303C23×C3—42no—
304C23×C3—42no—
305C23×C3—42no—
306C23×C3—42no—
307C23×C3—42no—
308C23×C3—42no—
309C23×C3—42no—
310C23×C3—42no—
311C23×C3—42no—
312C23×C3—42no—
313C23×C3—42no—
314C23×C3—42no—
315C23×C3—42no—
316C23×C3—42no—
317C23×C3—42no—
318C23×C3—42no—
319C23×C3—42no—
320C23×C3—42no—
321C23×C3—42no—
322C23×C3—42no—
323C23×C3—42no—
324C23×C3—42no—
325C23×C3—42no—
326C23×C3—42no—
327C23×C3—42no—
328C23×C3—42no—
329C23×C3—42no—
330C23×C3C22×D411yescharacteristic
331C23×C3C22×D411yescharacteristic
332C23×C3C22×D411yescharacteristic
333C23×C3C2×#4111yescharacteristic
334C23×C3C2×#4111yescharacteristic
335C23×C3C2×#4112yes—
336C23×C3C2×#4112yes—
337C23×C3C2×#4112yes—
338C23×C3H(5,𝔽2)12yes—
339C23×C3H(5,𝔽2)11yescharacteristic
340C23×C32−1+411yescharacteristic
341C3×D4—416no—
342C2×C3×C4—22no—
343C2×C3×C4—22no—
344C2×C3×C4—24no—
345C2×C3×C4—22no—
346C2×C3×C4—24no—
347C2×C3×C4—22no—
348C2×C3×C4—22no—
349C2×C3×C4—22no—
350C2×C3×C4—22no—
351C2×C3×C4—24no—
352C2×C3×C4—22no—
353C2×C3×C4—22no—
354C2×C3×C4—24no—
355C2×C3×C4—22no—
356C2×C3×C4—22no—
357C2×C3×C4—22no—
358C2×C3×C4—24no—
359C2×C3×C4—24no—
360C2×C3×C4—24no—
361C2×C3×C4—24no—
362C2×C3×C4—24no—
363C2×C3×C4—24no—
364C2×C3×C4—22no—
365C2×C3×C4—24no—
366C2×C3×C4—22no—
367C2×C3×C4—41no—
368C2×C3×C4—41no—
369C2×C3×C4—42no—
370C2×C3×C4—42no—
371C2×C3×C4—41no—
372C2×C3×C4—41no—
373C2×C3×C4—42no—
374C2×C3×C4—42no—
375C2×C3×C4—42no—
376C2×C3×C4—41no—
377C2×C3×C4—42no—
378C2×C3×C4—42no—
379C2×C3×C4—41no—
380C2×C3×C4—42no—
381C2×C3×C4—42no—
382C2×C3×C4—42no—
383C2×C3×C4—41no—
384C2×C3×C4—41no—
385C2×C3×C4—42no—
386C2×C3×C4—41no—
387C2×C3×C4—42no—
388C2×C3×C4—41no—
389C2×C3×C4—41no—
390C2×C3×C4—41no—
391C2×C3×C4—42no—
392C2×C3×C4—42no—
393C2×C3×C4—42no—
394C2×C3×C4—42no—
395C2×C3×C4—42no—
396C2×C3×C4—42no—
397C2×C3×C4—42no—
398C2×C3×C4—42no—
399C2×C3×C4#12114yes—
400C2×C3×C4#12114yes—
401C2×C3×C4#12414yes—
402C24—22no—
403C24—22no—
404C24—22no—
405C24—22no—
406C24—22no—
407C24—22no—
408C24—22no—
409C24—22no—
410C24—22no—
411C24—22no—
412C24—22no—
413C24—22no—
414C24—22no—
415C24—22no—
416C24C3×#4114yes—
417C24C24×C311yescharacteristic
418C2×D4—28no—
419C2×D4—48no—
420C2×D4—48no—
421C2×D4—44no—
422C2×D4—44no—
423C22×C4—21no—
424C22×C4—21no—
425C22×C4—21no—
426C22×C4—21no—
427C22×C4—22no—
428C22×C4—22no—
429C22×C4—21no—
430C22×C4—22no—
431C22×C4—21no—
432C22×C4—21no—
433C22×C4—22no—
434C22×C4—22no—
435C22×C4—22no—
436C22×C4—21no—
437C22×C4—21no—
438C22×C4—22no—
439C22×C4—22no—
440C22×C4—22no—
441C22×C4—22no—
442C22×C4—21no—
443C22×C4—21no—
444C22×C4—22no—
445C22×C4—22no—
446C22×C4—22no—
447C22×C4—21no—
448C22×C4—22no—
449C22×C4—22no—
450C22×C4—22no—
451C22×C4—22no—
452C22×C4—21no—
453C22×C4—21no—
454C22×C4—21no—
455C22×C4—22no—
456C22×C4—21no—
457C22×C4—22no—
458C22×C4—21no—
459C22×C4—22no—
460C22×C4—22no—
461C22×C4—22no—
462C22×C4—22no—
463C22×C4—22no—
464C22×C4—21no—
465C22×C4—22no—
466C22×C4—22no—
467C22×C4—22no—
468C22×C4—22no—
469C22×C4—21no—
470C22×C4—21no—
471C22×C4C2×C3×D412yes—
472C22×C4C2×C3×D412yes—
473C22×C4C2×C3×D414yes—
474C22×C4C2×C3×D412yes—
475C22×C4C2×C3×D412yes—
476C22×C4C2×C3×D412yes—
477C22×C4C2×C3×D412yes—
478C22×C4C2×C3×D412yes—
479C22×C4C3×#4114yes—
480C22×C4C3×#4112yes—
481C22×C4C3×#4112yes—
482C22×C4C3×#4114yes—
483C4⋊C4—216no—
484C4⋊C4—28no—
485C4⋊C4—44no—
486C4⋊C4—44no—
487C22⋊C4—216no—
488C22⋊C4—48no—
489C22⋊C4—48no—
490C22⋊C4—48no—
491C22⋊C4—48no—
492C22⋊C4—48no—
493C42—28no—
494C42—48no—
495C22×C3—44no—
496C22×C3—44no—
497C22×C3—44no—
498C22×C3—44no—
499C22×C3—44no—
500C22×C3—44no—
501C22×C3—44no—
502C22×C3—82no—
503C22×C3—82no—
504C22×C3—82no—
505C22×C3—82no—
506C22×C3—82no—
507C22×C3—82no—
508C22×C3—82no—
509C22×C3—82no—
510C22×C3C2×#12111yescharacteristic
511C22×C3C2×#12111yescharacteristic
512C22×C3#52511yescharacteristic
513C22×C3#52512yes—
514C22×C3#52512yes—
515C22×C3C2×#12411yescharacteristic
516C22×C3#52912yes—
517C22×C3#52912yes—
518C22×C3#53211yescharacteristic
519C22×C3#53511yescharacteristic
520C22×C3#53711yescharacteristic
521C22×C3#53812yes—
522C22×C3#54212yes—
523C22×C3D4211yescharacteristic
524C22×C3#54612yes—
525C22×C3#54711yescharacteristic
526C22×C3#54811yescharacteristic
527C22×C3#55012yes—
528C22×C3#55112yes—
529C22×C3#55212yes—
530C22×C3#55312yes—
531C22×C3#55311yescharacteristic
532C22×C3#55912yes—
533C3×C4—24no—
534C3×C4—24no—
535C3×C4—24no—
536C3×C4—42no—
537C3×C4—42no—
538C3×C4—44no—
539C3×C4—44no—
540C3×C4—81no—
541C3×C4—81no—
542C3×C4—82no—
543C23—24no—
544C23—24no—
545C23—24no—
546C23—24no—
547C23—24no—
548C23—24no—
549C23—24no—
550C23—42no—
551C23—42no—
552C23—42no—
553C23—42no—
554C23—42no—
555C23—42no—
556C23—42no—
557C23—42no—
558C23—42no—
559C23—42no—
560C23—42no—
561C23—42no—
562C23—42no—
563C23—42no—
564C23—42no—
565C23—42no—
566C23—42no—
567C23—42no—
568C23—42no—
569C23—42no—
570C23—42no—
571C23—42no—
572C23—42no—
573C23—42no—
574C23—42no—
575C23—42no—
576C23—42no—
577C23—42no—
578C23C22×C3×D411yescharacteristic
579C23C22×C3×D411yescharacteristic
580C23C22×C3×D411yescharacteristic
581C23C2×C3×#4111yescharacteristic
582C23C2×C3×#4112yes—
583C23C2×C3×#4111yescharacteristic
584C23C2×C3×#4112yes—
585C23C2×C3×#4112yes—
586C23C3×H(5,𝔽2)12yes—
587C23C3×H(5,𝔽2)11yescharacteristic
588C23C3×2−1+411yescharacteristic
589D4—416no—
590C2×C4—22no—
591C2×C4—22no—
592C2×C4—24no—
593C2×C4—22no—
594C2×C4—24no—
595C2×C4—22no—
596C2×C4—22no—
597C2×C4—22no—
598C2×C4—22no—
599C2×C4—24no—
600C2×C4—22no—
601C2×C4—22no—
602C2×C4—24no—
603C2×C4—22no—
604C2×C4—22no—
605C2×C4—22no—
606C2×C4—24no—
607C2×C4—24no—
608C2×C4—24no—
609C2×C4—24no—
610C2×C4—24no—
611C2×C4—24no—
612C2×C4—22no—
613C2×C4—24no—
614C2×C4—22no—
615C2×C4—41no—
616C2×C4—41no—
617C2×C4—42no—
618C2×C4—42no—
619C2×C4—41no—
620C2×C4—41no—
621C2×C4—42no—
622C2×C4—42no—
623C2×C4—42no—
624C2×C4—41no—
625C2×C4—42no—
626C2×C4—42no—
627C2×C4—41no—
628C2×C4—42no—
629C2×C4—42no—
630C2×C4—42no—
631C2×C4—42no—
632C2×C4—42no—
633C2×C4—41no—
634C2×C4—41no—
635C2×C4—42no—
636C2×C4—41no—
637C2×C4—42no—
638C2×C4—41no—
639C2×C4—41no—
640C2×C4—41no—
641C2×C4—42no—
642C2×C4—42no—
643C2×C4—42no—
644C2×C4—42no—
645C2×C4—42no—
646C2×C4—42no—
647C2×C4C3×#12114yes—
648C2×C4C3×#12114yes—
649C2×C4C3×#12414yes—
650C2×C3—84no—
651C2×C3#239211yescharacteristic
652C2×C3#241111yescharacteristic
653C2×C3#241611yescharacteristic
654C2×C3#245612yes—
655C2×C3#245812yes—
656C2×C3#247912yes—
657C2×C3#254811yescharacteristic
658C2×C3#256211yescharacteristic
659C2×C3#259712yes—
660C2×C3#266211yescharacteristic
661C2×C3#285011yescharacteristic
662C22—44no—
663C22—44no—
664C22—44no—
665C22—44no—
666C22—44no—
667C22—44no—
668C22—44no—
669C22—82no—
670C22—82no—
671C22—82no—
672C22—82no—
673C22—82no—
674C22—82no—
675C22—82no—
676C22—82no—
677C22C2×C3×#12111yescharacteristic
678C22C2×C3×#12111yescharacteristic
679C22C3×#52511yescharacteristic
680C22C3×#52512yes—
681C22C3×#52512yes—
682C22C2×C3×#12411yescharacteristic
683C22C3×#52912yes—
684C22C3×#52912yes—
685C22C3×#53211yescharacteristic
686C22C3×#53511yescharacteristic
687C22C3×#53711yescharacteristic
688C22C3×#53812yes—
689C22C3×#54212yes—
690C22C3×D4211yescharacteristic
691C22C3×#54612yes—
692C22C3×#54711yescharacteristic
693C22C3×#54811yescharacteristic
694C22C3×#55012yes—
695C22C3×#55112yes—
696C22C3×#55212yes—
697C22C3×#55311yescharacteristic
698C22C3×#55312yes—
699C22C3×#55912yes—
700C4—24no—
701C4—24no—
702C4—24no—
703C4—42no—
704C4—42no—
705C4—44no—
706C4—44no—
707C4—81no—
708C4—81no—
709C4—82no—
710C3#1481311yescharacteristic, direct product factor, Sylow
711C2—84no—
712C2C3×#239211yescharacteristic
713C2C3×#241111yescharacteristic
714C2C3×#241611yescharacteristic
715C2C3×#245612yes—
716C2C3×#245812yes—
717C2C3×#247912yes—
718C2C3×#254811yescharacteristic
719C2C3×#256211yescharacteristic
720C2C3×#259712yes—
721C2C3×#266211yescharacteristic
722C2C3×#285011yescharacteristic
subgroupG/H
center, socleC24×C3C24
commutator, Frattini, cosocleC24C24×C3
prime radicalC23×C3×D4C22
LCSG ▷ C24 ▷ C1
UCSC1 ◁ C24×C3 ◁ G

Complements

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

NH ≅ G/Ntype
3. C2×C3×#388C2semidirect
4. C2×C3×#387C2semidirect
5. C2×C3×C4×C4⋊C4C2semidirect
6. C3×#1442C2semidirect
7. C3×#1441C2semidirect
8. C3×#1439C2semidirect
9. C3×#1439C2semidirect
11. C3×#1437C2semidirect
12. #14813C3direct (N × H)
43. C2×#388C2×C3semidirect
44. C2×#387C2×C3semidirect
45. C2×C4×C4⋊C4C2×C3semidirect
46. #1442C2×C3semidirect
47. #1441C2×C3semidirect
48. #1439C2×C3semidirect
49. #1439C2×C3semidirect
51. #1437C2×C3semidirect
78. C2×C3×C4⋊C4D4semidirect
260. C2×C4⋊C4C3×D4semidirect
710. C3#14813direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C3×#3942
C2×C3×#3902
C2×C3×#3882
C2×C3×#3872
C2×C3×C4×C4⋊C42
C3×#14422
C3×#14412
C3×#14392
C3×#14382
C3×#14372
#148133