Finite Group Databasebeta

← C3×#27785 #10646392

Subgroups — C3×#27785 #10646392

Order 768.

828 conjugacy classes of subgroups.

The subgroup lattice has 660 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C3×#489C211yesmaximal, characteristic
2C2×C3×#487C211yesmaximal, characteristic, complemented
3C3×#2551C211yesmaximal, characteristic, complemented
4C3×#2545C211yesmaximal, characteristic
5C3×#2043C211yesmaximal, characteristic, complemented
6C3×#2042C211yesmaximal, characteristic
7C3×#2024C211yesmaximal, characteristic, complemented
8C3×#2023C211yesmaximal, characteristic
9C3×#1983C211yesmaximal, characteristic
10C3×#1959C211yesmaximal, characteristic
11C3×#1935C211yesmaximal, characteristic, complemented
12C3×#1934C211yesmaximal, characteristic
13C3×#1803C211yesmaximal, characteristic, complemented
14C3×#1771C211yesmaximal, characteristic, complemented
15C3×#1763C211yesmaximal, characteristic, complemented
16#27785C311yesmaximal, characteristic, direct product factor, Sylow
17C2×C3×C4⋊Q8—21no—
18C2×C3×C4⋊Q8C2211yescharacteristic
19C2×C3×C4⋊Q8C2211yescharacteristic
20C2×C3×C4⋊Q8C2211yescharacteristic
21C2×C3×#124C2211yescharacteristic
22C2×C3×#124C2211yescharacteristic
23C2×C3×C4×Q8C2211yescharacteristic
24C3×#489—24no—
25C3×#487—24no—
26C2×C3×C4⋊C8C2211yescharacteristic
27C2×C3×#103C2211yescharacteristic
28C2×C3×#103C2211yescharacteristic
29C2×C3×#103C2211yescharacteristic
30C2×C3×#103C2211yescharacteristic
31C2×C3×#103C2211yescharacteristic
32C2×C3×#103C2211yescharacteristic
33C2×C3×#103C2211yescharacteristic
34C2×C3×#103C2211yescharacteristic
35C2×C3×#102C2211yescharacteristic
36C2×C3×#102C2211yescharacteristic
37C2×C3×#102C2211yescharacteristic
38C2×C3×#102C2211yescharacteristic
39C2×C3×#97C2211yescharacteristic
40C2×C3×#97C2211yescharacteristic
41C2×C3×C4×C8C2211yescharacteristic
42C3×#396—21no—
43C3×#396—21no—
44C3×#395—21no—
45C3×#395—21no—
46C3×#391C2211yescharacteristic
47C3×#390C2211yescharacteristic
48C3×#389—21no—
49C3×#389C2211yescharacteristic
50C3×#389C2211yescharacteristic
51C3×#388—21no—
52C3×#388—21no—
53C3×#384C2211yescharacteristic
54C3×C4×C4⋊C4C2211yescharacteristic
55C3×C4×C4⋊C4C2211yescharacteristic
56C3×#340C2211yescharacteristic
57C3×#340C2211yescharacteristic
58C3×#340C2211yescharacteristic
59C3×#340C2211yescharacteristic
60C3×#336C2211yescharacteristic
61C3×#336C2211yescharacteristic
62C2×#489C2×C311yescharacteristic
63C2×#487C2×C311yescharacteristic, complemented
64#2551C2×C311yescharacteristic, complemented
65#2545C2×C311yescharacteristic
66#2043C2×C311yescharacteristic, complemented
67#2042C2×C311yescharacteristic
68#2024C2×C311yescharacteristic, complemented
69#2023C2×C311yescharacteristic
70#1983C2×C311yescharacteristic
71#1959C2×C311yescharacteristic
72#1935C2×C311yescharacteristic, complemented
73#1934C2×C311yescharacteristic
74#1803C2×C311yescharacteristic, complemented
75#1771C2×C311yescharacteristic, complemented
76#1763C2×C311yescharacteristic, complemented
77C22×C3×Q8—21no—
78C22×C3×Q8—21no—
79C22×C3×Q8C2311yescharacteristic
80C22×C3×Q8C2311yescharacteristic
81C22×C3×D4C2311yescharacteristic
82C22×C3×C8C2311yescharacteristic
83C22×C3×C8C2311yescharacteristic
84C22×C3×C8C2311yescharacteristic
85C22×C3×C8C2311yescharacteristic
86C3×C4⋊Q8—22no—
87C3×C4⋊Q8—22no—
88C3×C4⋊Q8—22no—
89C3×C4⋊Q8—41no—
90C3×C4⋊Q8—41no—
91C3×C4⋊Q8—41no—
92C3×C4⋊Q8—44no—
93C3×#124—22no—
94C3×#124—22no—
95C3×#124—22no—
96C3×#124—41no—
97C3×C4×Q8—22no—
98C3×C4×Q8—22no—
99C2×C3×C4⋊C4—21no—
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⋊C4D411yescharacteristic
109C2×C3×C4⋊C4D411yescharacteristic
110C2×C3×C4⋊C4C2311yescharacteristic
111C2×C3×C4⋊C4C2311yescharacteristic
112C2×C3×C4⋊C4C2311yescharacteristic
113C2×C3×C4⋊C4C2311yescharacteristic
114C2×C3×C4⋊C4C2311yescharacteristic
115C2×C3×C22⋊C4—21no—
116C2×C3×C22⋊C4—21no—
117C2×C3×C22⋊C4—21no—
118C2×C3×C22⋊C4—21no—
119C2×C3×C22⋊C4—21no—
120C2×C3×C22⋊C4—21no—
121C2×C3×C42—21no—
122C2×C3×C42—21no—
123C2×C3×C42C2311yescharacteristic
124C2×C3×C42C2311yescharacteristic
125C2×C3×C42C2311yescharacteristic
126C3×C4⋊C8—22no—
127C3×#103—22no—
128C3×#103—22no—
129C3×#103—22no—
130C3×#103—22no—
131C3×#103—22no—
132C3×#103—22no—
133C3×#103—41no—
134C3×#103D414yes—
135C3×#102—22no—
136C3×#102—22no—
137C3×#102—22no—
138C3×#102—41no—
139C3×#97—22no—
140C3×#97—22no—
141C3×C4×C8—22no—
142C3×#95—21no—
143C3×#95—21no—
144C3×#95—21no—
145C3×#95—21no—
146C3×#95—21no—
147C3×#95D411yescharacteristic
148C3×#95D411yescharacteristic
149C2×C4⋊Q8—21no—
150C2×C4⋊Q8C22×C311yescharacteristic
151C2×C4⋊Q8C22×C311yescharacteristic
152C2×C4⋊Q8C22×C311yescharacteristic
153C2×#124C22×C311yescharacteristic
154C2×#124C22×C311yescharacteristic
155C2×C4×Q8C22×C311yescharacteristic
156#489—24no—
157#487—24no—
158C2×C4⋊C8C22×C311yescharacteristic
159C2×#103C22×C311yescharacteristic
160C2×#103C22×C311yescharacteristic
161C2×#103C22×C311yescharacteristic
162C2×#103C22×C311yescharacteristic
163C2×#103C22×C311yescharacteristic
164C2×#103C22×C311yescharacteristic
165C2×#103C22×C311yescharacteristic
166C2×#103C22×C311yescharacteristic
167C2×#102C22×C311yescharacteristic
168C2×#102C22×C311yescharacteristic
169C2×#102C22×C311yescharacteristic
170C2×#102C22×C311yescharacteristic
171C2×#97C22×C311yescharacteristic
172C2×#97C22×C311yescharacteristic
173C2×C4×C8C22×C311yescharacteristic
174#396—21no—
175#396—21no—
176#395—21no—
177#395—21no—
178#391C22×C311yescharacteristic
179#390C22×C311yescharacteristic
180#389—21no—
181#389C22×C311yescharacteristic
182#389C22×C311yescharacteristic
183#388—21no—
184#388—21no—
185#384C22×C311yescharacteristic
186C4×C4⋊C4C22×C311yescharacteristic
187C4×C4⋊C4C22×C311yescharacteristic
188#340C22×C311yescharacteristic
189#340C22×C311yescharacteristic
190#340C22×C311yescharacteristic
191#340C22×C311yescharacteristic
192#336C22×C311yescharacteristic
193#336C22×C311yescharacteristic
194C24×C3—21no—
195C2×C3×Q8—21no—
196C2×C3×Q8—21no—
197C2×C3×Q8—21no—
198C2×C3×Q8—21no—
199C2×C3×Q8—21no—
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—42no—
207C2×C3×Q8—42no—
208C2×C3×Q8—42no—
209C2×C3×Q8—42no—
210C2×C3×Q8—81no—
211C2×C3×Q8—81no—
212C2×C3×Q8C2×D412yes—
213C2×C3×D4—21no—
214C2×C3×D4—21no—
215C2×C3×D4—21no—
216C2×C3×D4—21no—
217C2×C3×D4—21no—
218C2×C3×D4—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×C4C2×D411yescharacteristic
227C22×C3×C4C2×D411yescharacteristic
228C22×C3×C4C2×D411yescharacteristic
229C22×C3×C4C2×D411yescharacteristic
230C22×C3×C4C2×D411yescharacteristic
231C22×C3×C4C2×D411yescharacteristic
232C22×C3×C4C2411yescharacteristic
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×C8—21no—
243C2×C3×C8—21no—
244C2×C3×C8C2×D412yes—
245C3×C4⋊C4—22no—
246C3×C4⋊C4—22no—
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—42no—
256C3×C4⋊C4—42no—
257C3×C4⋊C4—42no—
258C3×C4⋊C4—42no—
259C3×C4⋊C4—42no—
260C3×C4⋊C4—42no—
261C3×C4⋊C4—42no—
262C3×C4⋊C4—42no—
263C3×C4⋊C4—81no—
264C3×C4⋊C4C2×D412yes—
265C3×C4⋊C4#4112yes—
266C3×C22⋊C4—42no—
267C3×C22⋊C4—42no—
268C3×C22⋊C4—42no—
269C3×C22⋊C4—42no—
270C3×C22⋊C4—42no—
271C3×C22⋊C4—42no—
272C3×C42—21no—
273C3×C42—21no—
274C3×C42—21no—
275C3×C42—21no—
276C3×C42—42no—
277C3×C42—42no—
278C3×C42#4112yes—
279C3×C42#4112yes—
280C22×Q8—21no—
281C22×Q8—21no—
282C22×Q8C23×C311yescharacteristic
283C22×Q8C23×C311yescharacteristic
284C22×D4C23×C311yescharacteristic
285C22×C8C23×C311yescharacteristic
286C22×C8C23×C311yescharacteristic
287C22×C8C23×C311yescharacteristic
288C22×C8C23×C311yescharacteristic
289C4⋊Q8—22no—
290C4⋊Q8—22no—
291C4⋊Q8—22no—
292C4⋊Q8—41no—
293C4⋊Q8—41no—
294C4⋊Q8—41no—
295C4⋊Q8—44no—
296#124—22no—
297#124—22no—
298#124—22no—
299#124—41no—
300C4×Q8—22no—
301C4×Q8—22no—
302C2×C4⋊C4—21no—
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⋊C4C3×D411yescharacteristic
312C2×C4⋊C4C3×D411yescharacteristic
313C2×C4⋊C4C23×C311yescharacteristic
314C2×C4⋊C4C23×C311yescharacteristic
315C2×C4⋊C4C23×C311yescharacteristic
316C2×C4⋊C4C23×C311yescharacteristic
317C2×C4⋊C4C23×C311yescharacteristic
318C2×C22⋊C4—21no—
319C2×C22⋊C4—21no—
320C2×C22⋊C4—21no—
321C2×C22⋊C4—21no—
322C2×C22⋊C4—21no—
323C2×C22⋊C4—21no—
324C2×C42—21no—
325C2×C42—21no—
326C2×C42C23×C311yescharacteristic
327C2×C42C23×C311yescharacteristic
328C2×C42C23×C311yescharacteristic
329C4⋊C8—22no—
330#103—22no—
331#103—22no—
332#103—22no—
333#103—22no—
334#103—22no—
335#103—22no—
336#103—41no—
337#103C3×D414yes—
338#102—22no—
339#102—22no—
340#102—22no—
341#102—41no—
342#97—22no—
343#97—22no—
344C4×C8—22no—
345#95—21no—
346#95—21no—
347#95—21no—
348#95—21no—
349#95—21no—
350#95C3×D411yescharacteristic
351#95C3×D411yescharacteristic
352C23×C3—41no—
353C23×C3—41no—
354C23×C3—41no—
355C23×C3—41no—
356C23×C3—41no—
357C23×C3—41no—
358C23×C3—41no—
359C23×C3C22×D411yescharacteristic
360C3×Q8—22no—
361C3×Q8—22no—
362C3×Q8—41no—
363C3×Q8—41no—
364C3×Q8—41no—
365C3×Q8—41no—
366C3×Q8—41no—
367C3×Q8—41no—
368C3×Q8—84no—
369C3×Q8—84no—
370C3×D4—41no—
371C3×D4—41no—
372C3×D4—41no—
373C3×D4—41no—
374C2×C3×C4—21no—
375C2×C3×C4—21no—
376C2×C3×C4—21no—
377C2×C3×C4—21no—
378C2×C3×C4—21no—
379C2×C3×C4—21no—
380C2×C3×C4—21no—
381C2×C3×C4—21no—
382C2×C3×C4—21no—
383C2×C3×C4—21no—
384C2×C3×C4—22no—
385C2×C3×C4—22no—
386C2×C3×C4—22no—
387C2×C3×C4—21no—
388C2×C3×C4—21no—
389C2×C3×C4—21no—
390C2×C3×C4—21no—
391C2×C3×C4—41no—
392C2×C3×C4—41no—
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#12412yes—
410C2×C3×C4#12412yes—
411C2×C3×C4AGL(1,ℤ/8)12yes—
412C2×C3×C4#13712yes—
413C2×C3×C4C22×D411yescharacteristic
414C2×C3×C4C2×#4111yescharacteristic
415C2×C3×C4C2×#4111yescharacteristic
416C2×C3×C4C2×#4111yescharacteristic
417C2×C3×C4H(5,𝔽2)11yescharacteristic
418C2×C3×C42−1+411yescharacteristic
419C3×C8—22no—
420C3×C8—41no—
421C3×C8—41no—
422C3×C8—41no—
423C24—21no—
424C2×Q8—21no—
425C2×Q8—21no—
426C2×Q8—21no—
427C2×Q8—21no—
428C2×Q8—21no—
429C2×Q8—21no—
430C2×Q8—21no—
431C2×Q8—21no—
432C2×Q8—21no—
433C2×Q8—21no—
434C2×Q8—21no—
435C2×Q8—42no—
436C2×Q8—42no—
437C2×Q8—42no—
438C2×Q8—42no—
439C2×Q8—81no—
440C2×Q8—81no—
441C2×Q8C2×C3×D412yes—
442C2×D4—21no—
443C2×D4—21no—
444C2×D4—21no—
445C2×D4—21no—
446C2×D4—21no—
447C2×D4—21no—
448C22×C4—21no—
449C22×C4—21no—
450C22×C4—21no—
451C22×C4—21no—
452C22×C4—21no—
453C22×C4—21no—
454C22×C4—21no—
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
462C2×C8—21no—
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—
474C4⋊C4—22no—
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—42no—
485C4⋊C4—42no—
486C4⋊C4—42no—
487C4⋊C4—42no—
488C4⋊C4—42no—
489C4⋊C4—42no—
490C4⋊C4—42no—
491C4⋊C4—42no—
492C4⋊C4—81no—
493C4⋊C4C2×C3×D412yes—
494C4⋊C4C3×#4112yes—
495C22⋊C4—42no—
496C22⋊C4—42no—
497C22⋊C4—42no—
498C22⋊C4—42no—
499C22⋊C4—42no—
500C22⋊C4—42no—
501C42—21no—
502C42—21no—
503C42—21no—
504C42—21no—
505C42—42no—
506C42—42no—
507C42C3×#4112yes—
508C42C3×#4112yes—
509C22×C3—81no—
510C22×C3—81no—
511C22×C3—81no—
512C22×C3—81no—
513C22×C3—81no—
514C22×C3—81no—
515C22×C3—81no—
516C22×C3C2×#12411yescharacteristic
517C22×C3D4211yescharacteristic
518C22×C3#54811yescharacteristic
519C22×C3C2×AGL(1,ℤ/8)11yescharacteristic
520C22×C3C2×#13711yescharacteristic
521C22×C3#57711yescharacteristic
522C22×C3#57811yescharacteristic
523C3×C4—22no—
524C3×C4—22no—
525C3×C4—22no—
526C3×C4—22no—
527C3×C4—42no—
528C3×C4—42no—
529C3×C4—41no—
530C3×C4—42no—
531C3×C4—41no—
532C3×C4—81no—
533C3×C4—81no—
534C3×C4—81no—
535C3×C4—81no—
536C3×C4#53211yescharacteristic
537C3×C4#54211yescharacteristic
538C3×C4#54711yescharacteristic
539C3×C4#55511yescharacteristic
540C23—41no—
541C23—41no—
542C23—41no—
543C23—41no—
544C23—41no—
545C23—41no—
546C23—41no—
547C23C22×C3×D411yescharacteristic
548Q8—22no—
549Q8—22no—
550Q8—41no—
551Q8—41no—
552Q8—41no—
553Q8—41no—
554Q8—41no—
555Q8—41no—
556Q8—84no—
557Q8—84no—
558D4—41no—
559D4—41no—
560D4—41no—
561D4—41no—
562C2×C4—21no—
563C2×C4—21no—
564C2×C4—21no—
565C2×C4—21no—
566C2×C4—21no—
567C2×C4—21no—
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—22no—
577C2×C4—22no—
578C2×C4—22no—
579C2×C4—41no—
580C2×C4—41no—
581C2×C4—41no—
582C2×C4—41no—
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×C4C3×#12412yes—
598C2×C4C3×#12412yes—
599C2×C4C3×AGL(1,ℤ/8)12yes—
600C2×C4C3×#13712yes—
601C2×C4C22×C3×D411yescharacteristic
602C2×C4C2×C3×#4111yescharacteristic
603C2×C4C2×C3×#4111yescharacteristic
604C2×C4C2×C3×#4111yescharacteristic
605C2×C4C3×H(5,𝔽2)11yescharacteristic
606C2×C4C3×2−1+411yescharacteristic
607C8—22no—
608C8—41no—
609C8—41no—
610C8—41no—
611C2×C3—161no—
612C2×C3#249111yescharacteristic
613C2×C3#313711yescharacteristic
614C2×C3#314111yescharacteristic
615C2×C3#326511yescharacteristic
616C2×C3#327011yescharacteristic
617C2×C3#336711yescharacteristic
618C2×C3#336911yescharacteristic
619C22—81no—
620C22—81no—
621C22—81no—
622C22—81no—
623C22—81no—
624C22—81no—
625C22—81no—
626C22C2×C3×#12411yescharacteristic
627C22C3×D4211yescharacteristic
628C22C3×#54811yescharacteristic
629C22C2×C3×AGL(1,ℤ/8)11yescharacteristic
630C22C2×C3×#13711yescharacteristic
631C22C3×#57711yescharacteristic
632C22C3×#57811yescharacteristic
633C4—22no—
634C4—22no—
635C4—22no—
636C4—22no—
637C4—42no—
638C4—41no—
639C4—42no—
640C4—41no—
641C4—42no—
642C4—81no—
643C4—81no—
644C4—81no—
645C4—81no—
646C4C3×#53211yescharacteristic
647C4C3×#54211yescharacteristic
648C4C3×#54711yescharacteristic
649C4C3×#55511yescharacteristic
650C3#2778511yescharacteristic, direct product factor, Sylow
651C2—161no—
652C2C3×#249111yescharacteristic
653C2C3×#313711yescharacteristic
654C2C3×#314111yescharacteristic
655C2C3×#326511yescharacteristic
656C2C3×#327011yescharacteristic
657C2C3×#336711yescharacteristic
658C2C3×#336911yescharacteristic
subgroupG/H
center, socleC23×C3C22×D4
commutator, Frattini, cosocleC22×C4C24×C3
prime radicalC22×C3×D4C23
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
2. C2×C3×#487C2semidirect
3. C3×#2551C2semidirect
5. C3×#2043C2semidirect
7. C3×#2024C2semidirect
11. C3×#1935C2semidirect
13. C3×#1803C2semidirect
14. C3×#1771C2semidirect
15. C3×#1763C2semidirect
16. #27785C3direct (N × H)
63. C2×#487C2×C3semidirect
64. #2551C2×C3semidirect
66. #2043C2×C3semidirect
68. #2024C2×C3semidirect
72. #1935C2×C3semidirect
74. #1803C2×C3semidirect
75. #1771C2×C3semidirect
76. #1763C2×C3semidirect
650. C3#27785direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C3×#4892
C2×C3×#4872
C3×#25512
C3×#25452
C3×#20432
C3×#20422
C3×#20242
C3×#20232
C3×#19832
C3×#19592
C3×#19352
C3×#19342
C3×#18032
C3×#17712
C3×#17632
#277853