Finite Group Databasebeta

← C3×#26390 #10644997

Subgroups — C3×#26390 #10644997

Order 768.

926 conjugacy classes of subgroups.

The subgroup lattice has 678 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C3×#478C211yesmaximal, characteristic, complemented
2C2×C3×#442C211yesmaximal, characteristic
3C3×#2454C211yesmaximal, characteristic, complemented
4C3×D4×C4⋊C4C211yesmaximal, characteristic, complemented
5C3×#2093C211yesmaximal, characteristic, complemented
6C3×#2084C211yesmaximal, characteristic, complemented
7C3×#2065C211yesmaximal, characteristic, complemented
8C3×#2059C211yesmaximal, characteristic, complemented
9C3×#1944C211yesmaximal, characteristic, complemented
10C3×#1917C211yesmaximal, characteristic, complemented
11C3×#1879C211yesmaximal, characteristic
12C3×#1879C211yesmaximal, characteristic
13C3×#1864C211yesmaximal, characteristic, complemented
14C3×#1864C211yesmaximal, characteristic, complemented
15C3×#1862C211yesmaximal, characteristic, complemented
16#26390C311yesmaximal, characteristic, direct product factor, Sylow
17C22×C3×D8C2211yescharacteristic
18C2×C3×#125C2211yescharacteristic
19C2×C3×C4×D4C2211yescharacteristic
20C2×C3×C4×D4C2211yescharacteristic
21C2×C3×C4×D4C2211yescharacteristic
22C2×C3×C4×D4C2211yescharacteristic
23C22×C3×C4⋊C4—21no—
24C3×#478—24no—
25C3×#442—24no—
26C2×C3×#107C2211yescharacteristic
27C2×C3×#107C2211yescharacteristic
28C2×C3×#106C2211yescharacteristic
29C2×C3×#106C2211yescharacteristic
30C2×C3×#106C2211yescharacteristic
31C2×C3×C4⋊C8C2211yescharacteristic
32C2×C3×#102C2211yescharacteristic
33C2×C3×#102C2211yescharacteristic
34C2×C3×#102C2211yescharacteristic
35C2×C3×#102C2211yescharacteristic
36C2×C3×#102C2211yescharacteristic
37C2×C3×#102C2211yescharacteristic
38C2×C3×#97C2211yescharacteristic
39C3×#399—21no—
40C3×#396—21no—
41C3×#390C2211yescharacteristic
42C3×#390C2211yescharacteristic
43C3×#389C2211yescharacteristic
44C3×#389C2211yescharacteristic
45C3×#389C2211yescharacteristic
46C3×#389C2211yescharacteristic
47C3×#385—21no—
48C3×#385—21no—
49C3×#385—21no—
50C3×#384C2211yescharacteristic
51C3×#380—21no—
52C3×#380—21no—
53C3×C4×C4⋊C4C2211yescharacteristic
54C3×#340C2211yescharacteristic
55C3×#340C2211yescharacteristic
56C3×#340C2211yescharacteristic
57C3×#340C2211yescharacteristic
58C3×#336C2211yescharacteristic
59C3×#336C2211yescharacteristic
60C3×#336C2211yescharacteristic
61C3×#336C2211yescharacteristic
62C2×#478C2×C311yescharacteristic, complemented
63C2×#442C2×C311yescharacteristic
64#2454C2×C311yescharacteristic, complemented
65D4×C4⋊C4C2×C311yescharacteristic, complemented
66#2093C2×C311yescharacteristic, complemented
67#2084C2×C311yescharacteristic, complemented
68#2065C2×C311yescharacteristic, complemented
69#2059C2×C311yescharacteristic, complemented
70#1944C2×C311yescharacteristic, complemented
71#1917C2×C311yescharacteristic, complemented
72#1879C2×C311yescharacteristic
73#1879C2×C311yescharacteristic
74#1864C2×C311yescharacteristic, complemented
75#1864C2×C311yescharacteristic, complemented
76#1862C2×C311yescharacteristic, complemented
77C22×C3×D4C2311yescharacteristic
78C22×C3×D4C2311yescharacteristic
79C23×C3×C4—21no—
80C23×C3×C4—21no—
81C23×C3×C4—21no—
82C23×C3×C4—21no—
83C2×C3×D8—22no—
84C2×C3×D8—22no—
85C2×C3×D8Q814yes—
86C22×C3×C8C2311yescharacteristic
87C22×C3×C8C2311yescharacteristic
88C22×C3×C8C2311yescharacteristic
89C22×C3×C8C2311yescharacteristic
90C3×#125—22no—
91C3×#125—41no—
92C3×C4×D4—22no—
93C3×C4×D4—22no—
94C3×C4×D4—22no—
95C3×C4×D4—22no—
96C3×C4×D4—22no—
97C3×C4×D4—41no—
98C3×C4×D4—41no—
99C3×C4×D4—41no—
100C2×C3×C4⋊C4—21no—
101C2×C3×C4⋊C4—21no—
102C2×C3×C4⋊C4—21no—
103C2×C3×C4⋊C4—21no—
104C2×C3×C4⋊C4—21no—
105C2×C3×C4⋊C4—21no—
106C2×C3×C4⋊C4—21no—
107C2×C3×C4⋊C4—21no—
108C2×C3×C4⋊C4—44no—
109C2×C3×C4⋊C4D411yescharacteristic
110C2×C3×C4⋊C4D411yescharacteristic
111C2×C3×C4⋊C4C2311yescharacteristic
112C2×C3×C4⋊C4C2311yescharacteristic
113C2×C3×C4⋊C4C2311yescharacteristic
114C2×C3×C4⋊C4C2311yescharacteristic
115C2×C3×C4⋊C4C2311yescharacteristic
116C2×C3×C4⋊C4C2311yescharacteristic
117C2×C3×C22⋊C4—21no—
118C2×C3×C22⋊C4—21no—
119C2×C3×C22⋊C4—21no—
120C2×C3×C22⋊C4—21no—
121C2×C3×C22⋊C4—21no—
122C2×C3×C22⋊C4—21no—
123C2×C3×C22⋊C4—21no—
124C2×C3×C22⋊C4—21no—
125C2×C3×C42C2311yescharacteristic
126C2×C3×C42C2311yescharacteristic
127C2×C3×C42C2311yescharacteristic
128C3×#107—22no—
129C3×#107—41no—
130C3×#106—22no—
131C3×#106—22no—
132C3×#106—22no—
133C3×C4⋊C8—22no—
134C3×#102—22no—
135C3×#102—22no—
136C3×#102—22no—
137C3×#102—22no—
138C3×#102—41no—
139C3×#102D414yes—
140C3×#97—22no—
141C3×#95—21no—
142C3×#95—21no—
143C3×#95—21no—
144C3×#95—21no—
145C3×#95D411yescharacteristic
146C3×#95D411yescharacteristic
147C22×D8C22×C311yescharacteristic
148C2×#125C22×C311yescharacteristic
149C2×C4×D4C22×C311yescharacteristic
150C2×C4×D4C22×C311yescharacteristic
151C2×C4×D4C22×C311yescharacteristic
152C2×C4×D4C22×C311yescharacteristic
153C22×C4⋊C4—21no—
154#478—24no—
155#442—24no—
156C2×#107C22×C311yescharacteristic
157C2×#107C22×C311yescharacteristic
158C2×#106C22×C311yescharacteristic
159C2×#106C22×C311yescharacteristic
160C2×#106C22×C311yescharacteristic
161C2×C4⋊C8C22×C311yescharacteristic
162C2×#102C22×C311yescharacteristic
163C2×#102C22×C311yescharacteristic
164C2×#102C22×C311yescharacteristic
165C2×#102C22×C311yescharacteristic
166C2×#102C22×C311yescharacteristic
167C2×#102C22×C311yescharacteristic
168C2×#97C22×C311yescharacteristic
169#399—21no—
170#396—21no—
171#390C22×C311yescharacteristic
172#390C22×C311yescharacteristic
173#389C22×C311yescharacteristic
174#389C22×C311yescharacteristic
175#389C22×C311yescharacteristic
176#389C22×C311yescharacteristic
177#385—21no—
178#385—21no—
179#385—21no—
180#384C22×C311yescharacteristic
181#380—21no—
182#380—21no—
183C4×C4⋊C4C22×C311yescharacteristic
184#340C22×C311yescharacteristic
185#340C22×C311yescharacteristic
186#340C22×C311yescharacteristic
187#340C22×C311yescharacteristic
188#336C22×C311yescharacteristic
189#336C22×C311yescharacteristic
190#336C22×C311yescharacteristic
191#336C22×C311yescharacteristic
192C24×C3—21no—
193C24×C3—21no—
194C2×C3×D4—21no—
195C2×C3×D4—21no—
196C2×C3×D4—21no—
197C2×C3×D4—21no—
198C2×C3×D4—21no—
199C2×C3×D4—21no—
200C2×C3×D4—21no—
201C2×C3×D4—21no—
202C2×C3×D4C2×D412yes—
203C2×C3×D4C2×Q812yes—
204C2×C3×D4C2×Q812yes—
205C2×C3×D4#4112yes—
206C22×C3×C4—24no—
207C22×C3×C4—21no—
208C22×C3×C4—21no—
209C22×C3×C4—21no—
210C22×C3×C4—21no—
211C22×C3×C4—21no—
212C22×C3×C4—21no—
213C22×C3×C4—42no—
214C22×C3×C4—42no—
215C22×C3×C4—42no—
216C22×C3×C4—42no—
217C22×C3×C4—42no—
218C22×C3×C4—42no—
219C22×C3×C4—42no—
220C22×C3×C4—42no—
221C22×C3×C4—81no—
222C22×C3×C4—81no—
223C22×C3×C4—81no—
224C22×C3×C4C2×D411yescharacteristic
225C22×C3×C4C2×D411yescharacteristic
226C22×C3×C4C2×D411yescharacteristic
227C22×C3×C4C2×D411yescharacteristic
228C22×C3×C4C2×D411yescharacteristic
229C22×C3×C4C2×D411yescharacteristic
230C22×C3×C4C2411yescharacteristic
231C3×D8—28no—
232C2×C3×C8—21no—
233C2×C3×C8—21no—
234C2×C3×C8—21no—
235C2×C3×C8—21no—
236C2×C3×C8—21no—
237C2×C3×C8—21no—
238C2×C3×C8—21no—
239C2×C3×C8—21no—
240C2×C3×C8—21no—
241C2×C3×C8—21no—
242C2×C3×C8C2×D412yes—
243C2×C3×C8C2×Q812yes—
244C3×C4⋊C4—22no—
245C3×C4⋊C4—21no—
246C3×C4⋊C4—21no—
247C3×C4⋊C4—21no—
248C3×C4⋊C4—21no—
249C3×C4⋊C4—21no—
250C3×C4⋊C4—21no—
251C3×C4⋊C4—21no—
252C3×C4⋊C4—21no—
253C3×C4⋊C4—21no—
254C3×C4⋊C4—21no—
255C3×C4⋊C4—41no—
256C3×C4⋊C4—42no—
257C3×C4⋊C4—42no—
258C3×C4⋊C4—42no—
259C3×C4⋊C4—42no—
260C3×C4⋊C4—42no—
261C3×C4⋊C4—81no—
262C3×C4⋊C4—81no—
263C3×C4⋊C4—81no—
264C3×C4⋊C4C2×D412yes—
265C3×C4⋊C4#4112yes—
266C3×C22⋊C4—24no—
267C3×C22⋊C4—42no—
268C3×C22⋊C4—42no—
269C3×C22⋊C4—42no—
270C3×C22⋊C4—42no—
271C3×C22⋊C4—81no—
272C3×C22⋊C4—81no—
273C3×C22⋊C4—81no—
274C3×C42—21no—
275C3×C42—21no—
276C3×C42—21no—
277C3×C42—21no—
278C3×C42—21no—
279C3×C42—21no—
280C22×D4C23×C311yescharacteristic
281C22×D4C23×C311yescharacteristic
282C23×C4—21no—
283C23×C4—21no—
284C23×C4—21no—
285C23×C4—21no—
286C2×D8—22no—
287C2×D8—22no—
288C2×D8C3×Q814yes—
289C22×C8C23×C311yescharacteristic
290C22×C8C23×C311yescharacteristic
291C22×C8C23×C311yescharacteristic
292C22×C8C23×C311yescharacteristic
293#125—22no—
294#125—41no—
295C4×D4—22no—
296C4×D4—22no—
297C4×D4—22no—
298C4×D4—22no—
299C4×D4—22no—
300C4×D4—41no—
301C4×D4—41no—
302C4×D4—41no—
303C2×C4⋊C4—21no—
304C2×C4⋊C4—21no—
305C2×C4⋊C4—21no—
306C2×C4⋊C4—21no—
307C2×C4⋊C4—21no—
308C2×C4⋊C4—21no—
309C2×C4⋊C4—21no—
310C2×C4⋊C4—21no—
311C2×C4⋊C4—44no—
312C2×C4⋊C4C3×D411yescharacteristic
313C2×C4⋊C4C3×D411yescharacteristic
314C2×C4⋊C4C23×C311yescharacteristic
315C2×C4⋊C4C23×C311yescharacteristic
316C2×C4⋊C4C23×C311yescharacteristic
317C2×C4⋊C4C23×C311yescharacteristic
318C2×C4⋊C4C23×C311yescharacteristic
319C2×C4⋊C4C23×C311yescharacteristic
320C2×C22⋊C4—21no—
321C2×C22⋊C4—21no—
322C2×C22⋊C4—21no—
323C2×C22⋊C4—21no—
324C2×C22⋊C4—21no—
325C2×C22⋊C4—21no—
326C2×C22⋊C4—21no—
327C2×C22⋊C4—21no—
328C2×C42C23×C311yescharacteristic
329C2×C42C23×C311yescharacteristic
330C2×C42C23×C311yescharacteristic
331#107—22no—
332#107—41no—
333#106—22no—
334#106—22no—
335#106—22no—
336C4⋊C8—22no—
337#102—22no—
338#102—22no—
339#102—22no—
340#102—22no—
341#102—41no—
342#102C3×D414yes—
343#97—22no—
344#95—21no—
345#95—21no—
346#95—21no—
347#95—21no—
348#95C3×D411yescharacteristic
349#95C3×D411yescharacteristic
350C23×C3—22no—
351C23×C3—22no—
352C23×C3—22no—
353C23×C3—22no—
354C23×C3—41no—
355C23×C3—41no—
356C23×C3—41no—
357C23×C3—41no—
358C23×C3—41no—
359C23×C3—41no—
360C23×C3—41no—
361C23×C3—41no—
362C23×C3—41no—
363C23×C3—41no—
364C23×C3C22×D411yescharacteristic
365C3×D4—22no—
366C3×D4—22no—
367C3×D4—22no—
368C3×D4—22no—
369C3×D4—22no—
370C3×D4—41no—
371C3×D4—41no—
372C3×D4C22⋊Q814yes—
373C2×C3×C4—21no—
374C2×C3×C4—21no—
375C2×C3×C4—21no—
376C2×C3×C4—22no—
377C2×C3×C4—21no—
378C2×C3×C4—21no—
379C2×C3×C4—21no—
380C2×C3×C4—21no—
381C2×C3×C4—22no—
382C2×C3×C4—21no—
383C2×C3×C4—21no—
384C2×C3×C4—21no—
385C2×C3×C4—21no—
386C2×C3×C4—21no—
387C2×C3×C4—21no—
388C2×C3×C4—21no—
389C2×C3×C4—21no—
390C2×C3×C4—21no—
391C2×C3×C4—21no—
392C2×C3×C4—48no—
393C2×C3×C4—41no—
394C2×C3×C4—41no—
395C2×C3×C4—41no—
396C2×C3×C4—41no—
397C2×C3×C4—41no—
398C2×C3×C4—41no—
399C2×C3×C4—41no—
400C2×C3×C4—41no—
401C2×C3×C4—41no—
402C2×C3×C4—41no—
403C2×C3×C4—41no—
404C2×C3×C4—41no—
405C2×C3×C4—41no—
406C2×C3×C4—41no—
407C2×C3×C4—41no—
408C2×C3×C4—41no—
409C2×C3×C4—84no—
410C2×C3×C4—84no—
411C2×C3×C4—84no—
412C2×C3×C4AGL(1,ℤ/8)12yes—
413C2×C3×C4C22×D411yescharacteristic
414C2×C3×C4C22×Q811yescharacteristic
415C2×C3×C4C2×#4111yescharacteristic
416C2×C3×C4C2×#4111yescharacteristic
417C2×C3×C4H(5,𝔽2)11yescharacteristic
418C2×C3×C42−1+411yescharacteristic
419C3×C8—22no—
420C3×C8—22no—
421C3×C8—41no—
422C3×C8—41no—
423C24—21no—
424C24—21no—
425C2×D4—21no—
426C2×D4—21no—
427C2×D4—21no—
428C2×D4—21no—
429C2×D4—21no—
430C2×D4—21no—
431C2×D4—21no—
432C2×D4—21no—
433C2×D4C2×C3×D412yes—
434C2×D4C2×C3×Q812yes—
435C2×D4C2×C3×Q812yes—
436C2×D4C3×#4112yes—
437C22×C4—24no—
438C22×C4—21no—
439C22×C4—21no—
440C22×C4—21no—
441C22×C4—21no—
442C22×C4—21no—
443C22×C4—21no—
444C22×C4—42no—
445C22×C4—42no—
446C22×C4—42no—
447C22×C4—42no—
448C22×C4—42no—
449C22×C4—42no—
450C22×C4—42no—
451C22×C4—42no—
452C22×C4—81no—
453C22×C4—81no—
454C22×C4—81no—
455C22×C4C2×C3×D411yescharacteristic
456C22×C4C2×C3×D411yescharacteristic
457C22×C4C2×C3×D411yescharacteristic
458C22×C4C2×C3×D411yescharacteristic
459C22×C4C2×C3×D411yescharacteristic
460C22×C4C2×C3×D411yescharacteristic
461C22×C4C24×C311yescharacteristic
462D8—28no—
463C2×C8—21no—
464C2×C8—21no—
465C2×C8—21no—
466C2×C8—21no—
467C2×C8—21no—
468C2×C8—21no—
469C2×C8—21no—
470C2×C8—21no—
471C2×C8—21no—
472C2×C8—21no—
473C2×C8C2×C3×D412yes—
474C2×C8C2×C3×Q812yes—
475C4⋊C4—22no—
476C4⋊C4—21no—
477C4⋊C4—21no—
478C4⋊C4—21no—
479C4⋊C4—21no—
480C4⋊C4—21no—
481C4⋊C4—21no—
482C4⋊C4—21no—
483C4⋊C4—21no—
484C4⋊C4—21no—
485C4⋊C4—21no—
486C4⋊C4—41no—
487C4⋊C4—42no—
488C4⋊C4—42no—
489C4⋊C4—42no—
490C4⋊C4—42no—
491C4⋊C4—42no—
492C4⋊C4—81no—
493C4⋊C4—81no—
494C4⋊C4—81no—
495C4⋊C4C2×C3×D412yes—
496C4⋊C4C3×#4112yes—
497C22⋊C4—24no—
498C22⋊C4—42no—
499C22⋊C4—42no—
500C22⋊C4—42no—
501C22⋊C4—42no—
502C22⋊C4—81no—
503C22⋊C4—81no—
504C22⋊C4—81no—
505C42—21no—
506C42—21no—
507C42—21no—
508C42—21no—
509C42—21no—
510C42—21no—
511C22×C3—24no—
512C22×C3—42no—
513C22×C3—42no—
514C22×C3—42no—
515C22×C3—42no—
516C22×C3—42no—
517C22×C3—42no—
518C22×C3—42no—
519C22×C3—42no—
520C22×C3—42no—
521C22×C3—81no—
522C22×C3—81no—
523C22×C3—81no—
524C22×C3—81no—
525C22×C3#52511yescharacteristic
526C22×C3D4211yescharacteristic
527C22×C3D4×Q811yescharacteristic
528C22×C3C2×AGL(1,ℤ/8)11yescharacteristic
529C22×C3#57511yescharacteristic
530C22×C3#57611yescharacteristic
531C22×C3#57711yescharacteristic
532C3×C4—22no—
533C3×C4—42no—
534C3×C4—41no—
535C3×C4—41no—
536C3×C4—41no—
537C3×C4—42no—
538C3×C4—41no—
539C3×C4—41no—
540C3×C4—81no—
541C3×C4—81no—
542C3×C4—81no—
543C3×C4—81no—
544C3×C4C2×C22⋊Q811yescharacteristic
545C3×C4#53911yescharacteristic
546C3×C4#54711yescharacteristic
547C3×C4#55411yescharacteristic
548C23—22no—
549C23—22no—
550C23—22no—
551C23—22no—
552C23—41no—
553C23—41no—
554C23—41no—
555C23—41no—
556C23—41no—
557C23—41no—
558C23—41no—
559C23—41no—
560C23—41no—
561C23—41no—
562C23C22×C3×D411yescharacteristic
563D4—22no—
564D4—22no—
565D4—22no—
566D4—22no—
567D4—22no—
568D4—41no—
569D4—41no—
570D4C3×C22⋊Q814yes—
571C2×C4—21no—
572C2×C4—21no—
573C2×C4—21no—
574C2×C4—21no—
575C2×C4—21no—
576C2×C4—21no—
577C2×C4—21no—
578C2×C4—21no—
579C2×C4—21no—
580C2×C4—21no—
581C2×C4—21no—
582C2×C4—21no—
583C2×C4—21no—
584C2×C4—22no—
585C2×C4—21no—
586C2×C4—21no—
587C2×C4—21no—
588C2×C4—21no—
589C2×C4—22no—
590C2×C4—48no—
591C2×C4—41no—
592C2×C4—41no—
593C2×C4—41no—
594C2×C4—41no—
595C2×C4—41no—
596C2×C4—41no—
597C2×C4—41no—
598C2×C4—41no—
599C2×C4—41no—
600C2×C4—41no—
601C2×C4—41no—
602C2×C4—41no—
603C2×C4—41no—
604C2×C4—41no—
605C2×C4—41no—
606C2×C4—41no—
607C2×C4—84no—
608C2×C4—84no—
609C2×C4—84no—
610C2×C4C3×AGL(1,ℤ/8)12yes—
611C2×C4C22×C3×D411yescharacteristic
612C2×C4C22×C3×Q811yescharacteristic
613C2×C4C2×C3×#4111yescharacteristic
614C2×C4C2×C3×#4111yescharacteristic
615C2×C4C3×H(5,𝔽2)11yescharacteristic
616C2×C4C3×2−1+411yescharacteristic
617C8—22no—
618C8—22no—
619C8—41no—
620C8—41no—
621C2×C3—44no—
622C2×C3—82no—
623C2×C3#244911yescharacteristic
624C2×C3#311411yescharacteristic
625C2×C3#311911yescharacteristic
626C2×C3#326711yescharacteristic
627C2×C3#327411yescharacteristic
628C2×C3#338411yescharacteristic
629C2×C3#338911yescharacteristic
630C22—24no—
631C22—42no—
632C22—42no—
633C22—42no—
634C22—42no—
635C22—42no—
636C22—42no—
637C22—42no—
638C22—42no—
639C22—42no—
640C22—81no—
641C22—81no—
642C22—81no—
643C22—81no—
644C22C3×#52511yescharacteristic
645C22C3×D4211yescharacteristic
646C22C3×D4×Q811yescharacteristic
647C22C2×C3×AGL(1,ℤ/8)11yescharacteristic
648C22C3×#57511yescharacteristic
649C22C3×#57611yescharacteristic
650C22C3×#57711yescharacteristic
651C4—22no—
652C4—41no—
653C4—41no—
654C4—42no—
655C4—41no—
656C4—41no—
657C4—42no—
658C4—41no—
659C4—81no—
660C4—81no—
661C4—81no—
662C4—81no—
663C4C2×C3×C22⋊Q811yescharacteristic
664C4C3×#53911yescharacteristic
665C4C3×#54711yescharacteristic
666C4C3×#55411yescharacteristic
667C3#2639011yescharacteristic, direct product factor, Sylow
668C2—44no—
669C2—82no—
670C2C3×#244911yescharacteristic
671C2C3×#311411yescharacteristic
672C2C3×#311911yescharacteristic
673C2C3×#326711yescharacteristic
674C2C3×#327411yescharacteristic
675C2C3×#338411yescharacteristic
676C2C3×#338911yescharacteristic
subgroupG/H
center, socleC23×C3C22×D4
commutator, Frattini, cosocleC22×C4C24×C3
prime radicalC22×C3×D8C22
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23×C3 ◁ C3×C4×C4⋊C4 ◁ G

Complements

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

NH ≅ G/Ntype
1. C2×C3×#478C2semidirect
3. C3×#2454C2semidirect
4. C3×D4×C4⋊C4C2semidirect
5. C3×#2093C2semidirect
6. C3×#2084C2semidirect
7. C3×#2065C2semidirect
8. C3×#2059C2semidirect
9. C3×#1944C2semidirect
10. C3×#1917C2semidirect
13. C3×#1864C2semidirect
14. C3×#1864C2semidirect
15. C3×#1862C2semidirect
16. #26390C3direct (N × H)
62. C2×#478C2×C3semidirect
64. #2454C2×C3semidirect
65. D4×C4⋊C4C2×C3semidirect
66. #2093C2×C3semidirect
67. #2084C2×C3semidirect
68. #2065C2×C3semidirect
69. #2059C2×C3semidirect
70. #1944C2×C3semidirect
71. #1917C2×C3semidirect
74. #1864C2×C3semidirect
75. #1864C2×C3semidirect
76. #1862C2×C3semidirect
667. C3#26390direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C3×#4782
C2×C3×#4422
C3×#24542
C3×D4×C4⋊C42
C3×#20932
C3×#20842
C3×#20652
C3×#20592
C3×#19442
C3×#19172
C3×#18792
C3×#18642
C3×#18622
#263903