Finite Group Databasebeta

← C3×#24664 #10643271

Subgroups — C3×#24664 #10643271

Order 768.

814 conjugacy classes of subgroups.

The subgroup lattice has 670 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C3×#462C211yesmaximal, characteristic, complemented
2C2×C3×#433C211yesmaximal, characteristic
3C3×#2621C211yesmaximal, characteristic
4C3×#2323C211yesmaximal, characteristic
5C3×#2036C211yesmaximal, characteristic
6C3×#2035C211yesmaximal, characteristic
7C3×#2001C211yesmaximal, characteristic
8C3×#2001C211yesmaximal, characteristic
9C3×#1981C211yesmaximal, characteristic, complemented
10C3×#1971C211yesmaximal, characteristic, complemented
11C3×#1969C211yesmaximal, characteristic, complemented
12C3×#1949C211yesmaximal, characteristic, complemented
13C3×#1935C211yesmaximal, characteristic, complemented
14C3×#1933C211yesmaximal, characteristic, complemented
15C3×#1805C211yesmaximal, characteristic, complemented
16#24664C311yesmaximal, characteristic, direct product factor, Sylow
17C22×C3×Q16C2211yescharacteristic
18C22×C3×Q16C2211yescharacteristic
19C2×C3×C4⋊Q8C2211yescharacteristic
20C2×C3×C22⋊Q8C2211yescharacteristic
21C2×C3×C22⋊Q8C2211yescharacteristic
22C2×C3×C22⋊Q8C2211yescharacteristic
23C2×C3×C4×Q8C2211yescharacteristic
24C2×C3×#117C2211yescharacteristic
25C3×#462—24no—
26C3×#433—24no—
27C2×C3×#107C2211yescharacteristic
28C2×C3×#106C2211yescharacteristic
29C2×C3×C4⋊C8C2211yescharacteristic
30C2×C3×C4⋊C8C2211yescharacteristic
31C2×C3×#103C2211yescharacteristic
32C2×C3×#103C2211yescharacteristic
33C2×C3×#103C2211yescharacteristic
34C2×C3×#103C2211yescharacteristic
35C2×C3×#103C2211yescharacteristic
36C2×C3×#103C2211yescharacteristic
37C2×C3×#103C2211yescharacteristic
38C2×C3×#103C2211yescharacteristic
39C2×C3×C22⋊C8C2211yescharacteristic
40C2×C3×C22⋊C8C2211yescharacteristic
41C2×C3×#97C2211yescharacteristic
42C2×C3×C4×C8C2211yescharacteristic
43C3×#398—21no—
44C3×#398—21no—
45C3×#397—21no—
46C3×#397—21no—
47C3×#391C2211yescharacteristic
48C3×#391C2211yescharacteristic
49C3×#391C2211yescharacteristic
50C3×#389—21no—
51C3×#389C2211yescharacteristic
52C3×#388—21no—
53C3×#388—21no—
54C3×#387—21no—
55C3×#382C2211yescharacteristic
56C3×#380C2211yescharacteristic
57C3×C4×C4⋊C4C2211yescharacteristic
58C3×#340C2211yescharacteristic
59C3×#340C2211yescharacteristic
60C3×#340C2211yescharacteristic
61C3×#340C2211yescharacteristic
62C2×#462C2×C311yescharacteristic, complemented
63C2×#433C2×C311yescharacteristic
64#2621C2×C311yescharacteristic
65#2323C2×C311yescharacteristic
66#2036C2×C311yescharacteristic
67#2035C2×C311yescharacteristic
68#2001C2×C311yescharacteristic
69#2001C2×C311yescharacteristic
70#1981C2×C311yescharacteristic, complemented
71#1971C2×C311yescharacteristic, complemented
72#1969C2×C311yescharacteristic, complemented
73#1949C2×C311yescharacteristic, complemented
74#1935C2×C311yescharacteristic, complemented
75#1933C2×C311yescharacteristic, complemented
76#1805C2×C311yescharacteristic, complemented
77C22×C3×Q8C2311yescharacteristic
78C22×C3×Q8C2311yescharacteristic
79C22×C3×Q8C2311yescharacteristic
80C23×C3×C4C2311yescharacteristic
81C2×C3×Q16—22no—
82C2×C3×Q16—22no—
83C2×C3×Q16—22no—
84C2×C3×Q16—22no—
85C2×C3×Q16—41no—
86C2×C3×Q16—41no—
87C22×C3×C8C2311yescharacteristic
88C22×C3×C8C2311yescharacteristic
89C22×C3×C8C2311yescharacteristic
90C22×C3×C8C2311yescharacteristic
91C3×C4⋊Q8—22no—
92C3×C4⋊Q8—22no—
93C3×C22⋊Q8—22no—
94C3×C22⋊Q8—22no—
95C3×C22⋊Q8—41no—
96C3×C22⋊Q8—41no—
97C3×C22⋊Q8—41no—
98C3×C22⋊Q8—41no—
99C3×C4×Q8—22no—
100C3×C4×Q8—22no—
101C3×#117—22no—
102C3×#117—22no—
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—21no—
109C2×C3×C4⋊C4—21no—
110C2×C3×C4⋊C4D411yescharacteristic
111C2×C3×C4⋊C4D411yescharacteristic
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⋊C4D411yescharacteristic
122C2×C3×C22⋊C4D411yescharacteristic
123C2×C3×C42—21no—
124C2×C3×C42—21no—
125C2×C3×C42C2311yescharacteristic
126C2×C3×C42C2311yescharacteristic
127C3×#107—41no—
128C3×#106—41no—
129C3×C4⋊C8—22no—
130C3×C4⋊C8D414yes—
131C3×#103—22no—
132C3×#103—22no—
133C3×#103—22no—
134C3×#103—22no—
135C3×#103—41no—
136C3×#103—41no—
137C3×#103—41no—
138C3×#103—41no—
139C3×C22⋊C8—22no—
140C3×C22⋊C8—22no—
141C3×#97—22no—
142C3×C4×C8—22no—
143C3×#95—21no—
144C3×#95—21no—
145C3×#95—21no—
146C3×#95—21no—
147C3×#95—21no—
148C3×#95—21no—
149C3×#95—21no—
150C3×#95—21no—
151C3×#95—21no—
152C3×#95—21no—
153C3×#95—21no—
154C22×Q16C22×C311yescharacteristic
155C22×Q16C22×C311yescharacteristic
156C2×C4⋊Q8C22×C311yescharacteristic
157C2×C22⋊Q8C22×C311yescharacteristic
158C2×C22⋊Q8C22×C311yescharacteristic
159C2×C22⋊Q8C22×C311yescharacteristic
160C2×C4×Q8C22×C311yescharacteristic
161C2×#117C22×C311yescharacteristic
162#462—24no—
163#433—24no—
164C2×#107C22×C311yescharacteristic
165C2×#106C22×C311yescharacteristic
166C2×C4⋊C8C22×C311yescharacteristic
167C2×C4⋊C8C22×C311yescharacteristic
168C2×#103C22×C311yescharacteristic
169C2×#103C22×C311yescharacteristic
170C2×#103C22×C311yescharacteristic
171C2×#103C22×C311yescharacteristic
172C2×#103C22×C311yescharacteristic
173C2×#103C22×C311yescharacteristic
174C2×#103C22×C311yescharacteristic
175C2×#103C22×C311yescharacteristic
176C2×C22⋊C8C22×C311yescharacteristic
177C2×C22⋊C8C22×C311yescharacteristic
178C2×#97C22×C311yescharacteristic
179C2×C4×C8C22×C311yescharacteristic
180#398—21no—
181#398—21no—
182#397—21no—
183#397—21no—
184#391C22×C311yescharacteristic
185#391C22×C311yescharacteristic
186#391C22×C311yescharacteristic
187#389—21no—
188#389C22×C311yescharacteristic
189#388—21no—
190#388—21no—
191#387—21no—
192#382C22×C311yescharacteristic
193#380C22×C311yescharacteristic
194C4×C4⋊C4C22×C311yescharacteristic
195#340C22×C311yescharacteristic
196#340C22×C311yescharacteristic
197#340C22×C311yescharacteristic
198#340C22×C311yescharacteristic
199C24×C3C2×D411yescharacteristic
200C2×C3×Q8—21no—
201C2×C3×Q8—21no—
202C2×C3×Q8—21no—
203C2×C3×Q8—21no—
204C2×C3×Q8—21no—
205C2×C3×Q8—21no—
206C2×C3×Q8—21no—
207C2×C3×Q8—21no—
208C2×C3×Q8—21no—
209C2×C3×Q8—21no—
210C2×C3×Q8—21no—
211C2×C3×Q8—21no—
212C2×C3×Q8—21no—
213C2×C3×Q8—21no—
214C2×C3×Q8—21no—
215C2×C3×Q8—21no—
216C2×C3×Q8—21no—
217C2×C3×Q8#4112yes—
218C22×C3×C4—21no—
219C22×C3×C4—21no—
220C22×C3×C4—21no—
221C22×C3×C4—21no—
222C22×C3×C4—21no—
223C22×C3×C4—21no—
224C22×C3×C4—21no—
225C22×C3×C4—21no—
226C22×C3×C4—21no—
227C22×C3×C4—21no—
228C22×C3×C4—21no—
229C22×C3×C4—21no—
230C22×C3×C4—21no—
231C22×C3×C4—21no—
232C22×C3×C4C2×D411yescharacteristic
233C22×C3×C4C2×D411yescharacteristic
234C22×C3×C4C2×D411yescharacteristic
235C22×C3×C4C2×D411yescharacteristic
236C22×C3×C4C2×D411yescharacteristic
237C22×C3×C4C2411yescharacteristic
238C3×Q16—44no—
239C3×Q16—44no—
240C2×C3×C8—21no—
241C2×C3×C8—21no—
242C2×C3×C8—21no—
243C2×C3×C8—21no—
244C2×C3×C8—21no—
245C2×C3×C8—21no—
246C2×C3×C8—21no—
247C2×C3×C8—21no—
248C2×C3×C8—21no—
249C2×C3×C8—21no—
250C2×C3×C8C2×D412yes—
251C2×C3×C8C2×D412yes—
252C3×C4⋊C4—24no—
253C3×C4⋊C4—22no—
254C3×C4⋊C4—22no—
255C3×C4⋊C4—21no—
256C3×C4⋊C4—21no—
257C3×C4⋊C4—21no—
258C3×C4⋊C4—21no—
259C3×C4⋊C4—21no—
260C3×C4⋊C4—21no—
261C3×C4⋊C4—21no—
262C3×C4⋊C4—21no—
263C3×C4⋊C4—21no—
264C3×C4⋊C4—42no—
265C3×C4⋊C4—42no—
266C3×C4⋊C4—42no—
267C3×C4⋊C4—42no—
268C3×C4⋊C4—42no—
269C3×C4⋊C4—81no—
270C3×C4⋊C4#4112yes—
271C3×C22⋊C4—24no—
272C3×C22⋊C4—22no—
273C3×C22⋊C4—22no—
274C3×C22⋊C4—42no—
275C3×C22⋊C4—42no—
276C3×C22⋊C4—81no—
277C3×C42—21no—
278C3×C42—21no—
279C3×C42—42no—
280C3×C42—81no—
281C3×C42C2×D412yes—
282C3×C42#4112yes—
283C22×Q8C23×C311yescharacteristic
284C22×Q8C23×C311yescharacteristic
285C22×Q8C23×C311yescharacteristic
286C23×C4C23×C311yescharacteristic
287C2×Q16—22no—
288C2×Q16—22no—
289C2×Q16—22no—
290C2×Q16—22no—
291C2×Q16—41no—
292C2×Q16—41no—
293C22×C8C23×C311yescharacteristic
294C22×C8C23×C311yescharacteristic
295C22×C8C23×C311yescharacteristic
296C22×C8C23×C311yescharacteristic
297C4⋊Q8—22no—
298C4⋊Q8—22no—
299C22⋊Q8—22no—
300C22⋊Q8—22no—
301C22⋊Q8—41no—
302C22⋊Q8—41no—
303C22⋊Q8—41no—
304C22⋊Q8—41no—
305C4×Q8—22no—
306C4×Q8—22no—
307#117—22no—
308#117—22no—
309C2×C4⋊C4—21no—
310C2×C4⋊C4—21no—
311C2×C4⋊C4—21no—
312C2×C4⋊C4—21no—
313C2×C4⋊C4—21no—
314C2×C4⋊C4—21no—
315C2×C4⋊C4—21no—
316C2×C4⋊C4C3×D411yescharacteristic
317C2×C4⋊C4C3×D411yescharacteristic
318C2×C4⋊C4C23×C311yescharacteristic
319C2×C4⋊C4C23×C311yescharacteristic
320C2×C4⋊C4C23×C311yescharacteristic
321C2×C4⋊C4C23×C311yescharacteristic
322C2×C4⋊C4C23×C311yescharacteristic
323C2×C22⋊C4—21no—
324C2×C22⋊C4—21no—
325C2×C22⋊C4—21no—
326C2×C22⋊C4—21no—
327C2×C22⋊C4C3×D411yescharacteristic
328C2×C22⋊C4C3×D411yescharacteristic
329C2×C42—21no—
330C2×C42—21no—
331C2×C42C23×C311yescharacteristic
332C2×C42C23×C311yescharacteristic
333#107—41no—
334#106—41no—
335C4⋊C8—22no—
336C4⋊C8C3×D414yes—
337#103—22no—
338#103—22no—
339#103—22no—
340#103—22no—
341#103—41no—
342#103—41no—
343#103—41no—
344#103—41no—
345C22⋊C8—22no—
346C22⋊C8—22no—
347#97—22no—
348C4×C8—22no—
349#95—21no—
350#95—21no—
351#95—21no—
352#95—21no—
353#95—21no—
354#95—21no—
355#95—21no—
356#95—21no—
357#95—21no—
358#95—21no—
359#95—21no—
360C23×C3—21no—
361C23×C3—21no—
362C23×C3—21no—
363C23×C3—21no—
364C23×C3—21no—
365C23×C3—21no—
366C23×C3—21no—
367C23×C3C22×D411yescharacteristic
368C3×Q8—22no—
369C3×Q8—22no—
370C3×Q8—41no—
371C3×Q8—41no—
372C3×Q8—41no—
373C3×Q8—41no—
374C3×Q8—41no—
375C3×Q8—41no—
376C3×Q8—41no—
377C3×Q8—41no—
378C3×Q8—41no—
379C3×Q8—41no—
380C2×C3×C4—21no—
381C2×C3×C4—21no—
382C2×C3×C4—21no—
383C2×C3×C4—21no—
384C2×C3×C4—21no—
385C2×C3×C4—21no—
386C2×C3×C4—21no—
387C2×C3×C4—22no—
388C2×C3×C4—22no—
389C2×C3×C4—21no—
390C2×C3×C4—21no—
391C2×C3×C4—21no—
392C2×C3×C4—21no—
393C2×C3×C4—21no—
394C2×C3×C4—21no—
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—41no—
410C2×C3×C4—41no—
411C2×C3×C4—41no—
412C2×C3×C4—41no—
413C2×C3×C4—41no—
414C2×C3×C4—41no—
415C2×C3×C4—41no—
416C2×C3×C4—41no—
417C2×C3×C4—41no—
418C2×C3×C4—41no—
419C2×C3×C4—41no—
420C2×C3×C4—41no—
421C2×C3×C4#12112yes—
422C2×C3×C4#12112yes—
423C2×C3×C4C22×D411yescharacteristic
424C2×C3×C4C2×#4111yescharacteristic
425C2×C3×C4C2×#4111yescharacteristic
426C2×C3×C4C2×#4111yescharacteristic
427C2×C3×C4H(5,𝔽2)11yescharacteristic
428C2×C3×C4H(5,𝔽2)11yescharacteristic
429C3×C8—22no—
430C3×C8—22no—
431C3×C8—41no—
432C3×C8—41no—
433C24C2×C3×D411yescharacteristic
434C2×Q8—21no—
435C2×Q8—21no—
436C2×Q8—21no—
437C2×Q8—21no—
438C2×Q8—21no—
439C2×Q8—21no—
440C2×Q8—21no—
441C2×Q8—21no—
442C2×Q8—21no—
443C2×Q8—21no—
444C2×Q8—21no—
445C2×Q8—21no—
446C2×Q8—21no—
447C2×Q8—21no—
448C2×Q8—21no—
449C2×Q8—21no—
450C2×Q8—21no—
451C2×Q8C3×#4112yes—
452C22×C4—21no—
453C22×C4—21no—
454C22×C4—21no—
455C22×C4—21no—
456C22×C4—21no—
457C22×C4—21no—
458C22×C4—21no—
459C22×C4—21no—
460C22×C4—21no—
461C22×C4—21no—
462C22×C4—21no—
463C22×C4—21no—
464C22×C4—21no—
465C22×C4—21no—
466C22×C4C2×C3×D411yescharacteristic
467C22×C4C2×C3×D411yescharacteristic
468C22×C4C2×C3×D411yescharacteristic
469C22×C4C2×C3×D411yescharacteristic
470C22×C4C2×C3×D411yescharacteristic
471C22×C4C24×C311yescharacteristic
472Q16—44no—
473Q16—44no—
474C2×C8—21no—
475C2×C8—21no—
476C2×C8—21no—
477C2×C8—21no—
478C2×C8—21no—
479C2×C8—21no—
480C2×C8—21no—
481C2×C8—21no—
482C2×C8—21no—
483C2×C8—21no—
484C2×C8C2×C3×D412yes—
485C2×C8C2×C3×D412yes—
486C4⋊C4—24no—
487C4⋊C4—22no—
488C4⋊C4—22no—
489C4⋊C4—21no—
490C4⋊C4—21no—
491C4⋊C4—21no—
492C4⋊C4—21no—
493C4⋊C4—21no—
494C4⋊C4—21no—
495C4⋊C4—21no—
496C4⋊C4—21no—
497C4⋊C4—21no—
498C4⋊C4—42no—
499C4⋊C4—42no—
500C4⋊C4—42no—
501C4⋊C4—42no—
502C4⋊C4—42no—
503C4⋊C4—81no—
504C4⋊C4C3×#4112yes—
505C22⋊C4—24no—
506C22⋊C4—22no—
507C22⋊C4—22no—
508C22⋊C4—42no—
509C22⋊C4—42no—
510C22⋊C4—81no—
511C42—21no—
512C42—21no—
513C42—42no—
514C42—81no—
515C42C2×C3×D412yes—
516C42C3×#4112yes—
517C22×C3—41no—
518C22×C3—41no—
519C22×C3—41no—
520C22×C3—41no—
521C22×C3—41no—
522C22×C3—41no—
523C22×C3—41no—
524C22×C3C2×#12111yescharacteristic
525C22×C3#52511yescharacteristic
526C22×C3#53511yescharacteristic
527C22×C3#57711yescharacteristic
528C22×C3#57811yescharacteristic
529C22×C3#57811yescharacteristic
530C22×C3#57811yescharacteristic
531C3×C4—22no—
532C3×C4—22no—
533C3×C4—42no—
534C3×C4—41no—
535C3×C4—42no—
536C3×C4—41no—
537C3×C4—41no—
538C3×C4—81no—
539C3×C4—81no—
540C3×C4—81no—
541C3×C4—81no—
542C3×C4—81no—
543C3×C4—81no—
544C3×C4#54611yescharacteristic
545C3×C4#55011yescharacteristic
546C3×C4#55311yescharacteristic
547C3×C4#55511yescharacteristic
548C23—21no—
549C23—21no—
550C23—21no—
551C23—21no—
552C23—21no—
553C23—21no—
554C23—21no—
555C23C22×C3×D411yescharacteristic
556Q8—22no—
557Q8—22no—
558Q8—41no—
559Q8—41no—
560Q8—41no—
561Q8—41no—
562Q8—41no—
563Q8—41no—
564Q8—41no—
565Q8—41no—
566Q8—41no—
567Q8—41no—
568C2×C4—21no—
569C2×C4—21no—
570C2×C4—21no—
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—22no—
580C2×C4—22no—
581C2×C4—21no—
582C2×C4—21no—
583C2×C4—41no—
584C2×C4—41no—
585C2×C4—41no—
586C2×C4—41no—
587C2×C4—41no—
588C2×C4—41no—
589C2×C4—41no—
590C2×C4—41no—
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—41no—
608C2×C4—41no—
609C2×C4C3×#12112yes—
610C2×C4C3×#12112yes—
611C2×C4C22×C3×D411yescharacteristic
612C2×C4C2×C3×#4111yescharacteristic
613C2×C4C2×C3×#4111yescharacteristic
614C2×C4C2×C3×#4111yescharacteristic
615C2×C4C3×H(5,𝔽2)11yescharacteristic
616C2×C4C3×H(5,𝔽2)11yescharacteristic
617C8—22no—
618C8—22no—
619C8—41no—
620C8—41no—
621C2×C3—81no—
622C2×C3#241411yescharacteristic
623C2×C3#305911yescharacteristic
624C2×C3#306311yescharacteristic
625C2×C3#312011yescharacteristic
626C2×C3#312711yescharacteristic
627C2×C3#322311yescharacteristic
628C2×C3#322511yescharacteristic
629C22—41no—
630C22—41no—
631C22—41no—
632C22—41no—
633C22—41no—
634C22—41no—
635C22—41no—
636C22C2×C3×#12111yescharacteristic
637C22C3×#52511yescharacteristic
638C22C3×#53511yescharacteristic
639C22C3×#57711yescharacteristic
640C22C3×#57811yescharacteristic
641C22C3×#57811yescharacteristic
642C22C3×#57811yescharacteristic
643C4—22no—
644C4—22no—
645C4—41no—
646C4—42no—
647C4—41no—
648C4—41no—
649C4—42no—
650C4—81no—
651C4—81no—
652C4—81no—
653C4—81no—
654C4—81no—
655C4—81no—
656C4C3×#54611yescharacteristic
657C4C3×#55011yescharacteristic
658C4C3×#55311yescharacteristic
659C4C3×#55511yescharacteristic
660C3#2466411yescharacteristic, direct product factor, Sylow
661C2—81no—
662C2C3×#241411yescharacteristic
663C2C3×#305911yescharacteristic
664C2C3×#306311yescharacteristic
665C2C3×#312011yescharacteristic
666C2C3×#312711yescharacteristic
667C2C3×#322311yescharacteristic
668C2C3×#322511yescharacteristic
subgroupG/H
center, socleC23×C3C22×D4
commutator, Frattini, cosocleC22×C4C24×C3
prime radicalC24×C3C2×D4
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23×C3 ◁ C2×C3×#117 ◁ G

Complements

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

NH ≅ G/Ntype
1. C2×C3×#462C2semidirect
9. C3×#1981C2semidirect
10. C3×#1971C2semidirect
11. C3×#1969C2semidirect
12. C3×#1949C2semidirect
13. C3×#1935C2semidirect
14. C3×#1933C2semidirect
15. C3×#1805C2semidirect
16. #24664C3direct (N × H)
62. C2×#462C2×C3semidirect
70. #1981C2×C3semidirect
71. #1971C2×C3semidirect
72. #1969C2×C3semidirect
73. #1949C2×C3semidirect
74. #1935C2×C3semidirect
75. #1933C2×C3semidirect
76. #1805C2×C3semidirect
660. C3#24664direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C3×#4622
C2×C3×#4332
C3×#26212
C3×#23232
C3×#20362
C3×#20352
C3×#20012
C3×#19812
C3×#19712
C3×#19692
C3×#19492
C3×#19352
C3×#19332
C3×#18052
#246643