Finite Group Databasebeta

← C3×#33054 #10651661

Subgroups — C3×#33054 #10651661

Order 768.

872 conjugacy classes of subgroups.

The subgroup lattice has 682 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C3×#489C211yesmaximal, characteristic, complemented
2C2×C3×#405C211yesmaximal, characteristic, complemented
3C3×#2628C211yesmaximal, characteristic, complemented
4C3×#2620C211yesmaximal, characteristic
5C3×#1990C211yesmaximal, characteristic, complemented
6C3×#1958C211yesmaximal, characteristic, complemented
7C3×#1936C211yesmaximal, characteristic, complemented
8C3×#1935C211yesmaximal, characteristic, complemented
9C3×#1934C211yesmaximal, characteristic, complemented
10C3×#1933C211yesmaximal, characteristic, complemented
11C3×#1895C211yesmaximal, characteristic
12C3×#1894C211yesmaximal, characteristic, complemented
13C3×#1893C211yesmaximal, characteristic
14C3×#1892C211yesmaximal, characteristic, complemented
15C3×#1836C211yesmaximal, characteristic, complemented
16#33054C311yesmaximal, characteristic, direct product factor, Sylow
17C22×C3×M16C2211yescharacteristic
18C23×C3×C8C2211yescharacteristic
19C2×C3×C4⋊Q8C2211yescharacteristic
20C2×C3×#124C2211yescharacteristic
21C2×C3×C22⋊Q8C2211yescharacteristic
22C2×C3×#121C2211yescharacteristic
23C2×C3×#117C2211yescharacteristic
24C3×#489—24no—
25C2×C3×#103C2211yescharacteristic
26C2×C3×#103C2211yescharacteristic
27C2×C3×#103C2211yescharacteristic
28C2×C3×#103C2211yescharacteristic
29C2×C3×#102C2211yescharacteristic
30C2×C3×#102C2211yescharacteristic
31C2×C3×#102C2211yescharacteristic
32C2×C3×#102C2211yescharacteristic
33C3×#405—24no—
34C2×C3×#97C2211yescharacteristic
35C2×C3×#97C2211yescharacteristic
36C2×C3×C4×C8C2211yescharacteristic
37C2×C3×C4×C8C2211yescharacteristic
38C3×#400—21no—
39C3×#399—21no—
40C3×#396—21no—
41C3×#396—21no—
42C3×#395—21no—
43C3×#394—21no—
44C3×#394—21no—
45C3×#393—21no—
46C3×#391C2211yescharacteristic
47C3×#390C2211yescharacteristic
48C3×#389C2211yescharacteristic
49C3×#389C2211yescharacteristic
50C3×#384C2211yescharacteristic
51C3×#382C2211yescharacteristic
52C3×#380C2211yescharacteristic
53C3×#380C2211yescharacteristic
54C3×#340C2211yescharacteristic
55C3×#340C2211yescharacteristic
56C3×#340C2211yescharacteristic
57C3×#340C2211yescharacteristic
58C3×#340C2211yescharacteristic
59C3×#340C2211yescharacteristic
60C3×#340C2211yescharacteristic
61C3×#340C2211yescharacteristic
62C2×#489C2×C311yescharacteristic, complemented
63C2×#405C2×C311yescharacteristic, complemented
64#2628C2×C311yescharacteristic, complemented
65#2620C2×C311yescharacteristic
66#1990C2×C311yescharacteristic, complemented
67#1958C2×C311yescharacteristic, complemented
68#1936C2×C311yescharacteristic, complemented
69#1935C2×C311yescharacteristic, complemented
70#1934C2×C311yescharacteristic, complemented
71#1933C2×C311yescharacteristic, complemented
72#1895C2×C311yescharacteristic
73#1894C2×C311yescharacteristic, complemented
74#1893C2×C311yescharacteristic
75#1892C2×C311yescharacteristic, complemented
76#1836C2×C311yescharacteristic, complemented
77C22×C3×Q8—21no—
78C22×C3×Q8C2311yescharacteristic
79C22×C3×D4—21no—
80C22×C3×D4C2311yescharacteristic
81C23×C3×C4C2311yescharacteristic
82C2×C3×M16—22no—
83C2×C3×M16—22no—
84C2×C3×M16—22no—
85C22×C3×C8—22no—
86C22×C3×C8—22no—
87C22×C3×C8—22no—
88C22×C3×C8C2311yescharacteristic
89C22×C3×C8C2311yescharacteristic
90C22×C3×C8C2311yescharacteristic
91C22×C3×C8C2311yescharacteristic
92C3×C4⋊Q8—22no—
93C3×C4⋊Q8—22no—
94C3×#124—22no—
95C3×#124—22no—
96C3×C22⋊Q8—22no—
97C3×C22⋊Q8—22no—
98C3×#121—22no—
99C3×#121—22no—
100C3×#117—22no—
101C3×#117—22no—
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×C4⋊C4C2311yescharacteristic
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×C22⋊C4—21no—
122C2×C3×C22⋊C4—21no—
123C2×C3×C22⋊C4—21no—
124C2×C3×C22⋊C4D411yescharacteristic
125C2×C3×C22⋊C4D411yescharacteristic
126C2×C3×C42C2311yescharacteristic
127C2×C3×C42C2311yescharacteristic
128C3×#103—22no—
129C3×#103—22no—
130C3×#103—22no—
131C3×#103—22no—
132C3×#102—22no—
133C3×#102—22no—
134C3×#102—22no—
135C3×#102—22no—
136C3×#97—22no—
137C3×#97D414yescomplemented
138C3×C4×C8—22no—
139C3×C4×C8—22no—
140C3×#95—21no—
141C3×#95—21no—
142C3×#95—21no—
143C3×#95—21no—
144C3×#95—21no—
145C3×#95—21no—
146C3×#95—21no—
147C3×#95—21no—
148C22×M16C22×C311yescharacteristic
149C23×C8C22×C311yescharacteristic
150C2×C4⋊Q8C22×C311yescharacteristic
151C2×#124C22×C311yescharacteristic
152C2×C22⋊Q8C22×C311yescharacteristic
153C2×#121C22×C311yescharacteristic
154C2×#117C22×C311yescharacteristic
155#489—24no—
156C2×#103C22×C311yescharacteristic
157C2×#103C22×C311yescharacteristic
158C2×#103C22×C311yescharacteristic
159C2×#103C22×C311yescharacteristic
160C2×#102C22×C311yescharacteristic
161C2×#102C22×C311yescharacteristic
162C2×#102C22×C311yescharacteristic
163C2×#102C22×C311yescharacteristic
164#405—24no—
165C2×#97C22×C311yescharacteristic
166C2×#97C22×C311yescharacteristic
167C2×C4×C8C22×C311yescharacteristic
168C2×C4×C8C22×C311yescharacteristic
169#400—21no—
170#399—21no—
171#396—21no—
172#396—21no—
173#395—21no—
174#394—21no—
175#394—21no—
176#393—21no—
177#391C22×C311yescharacteristic
178#390C22×C311yescharacteristic
179#389C22×C311yescharacteristic
180#389C22×C311yescharacteristic
181#384C22×C311yescharacteristic
182#382C22×C311yescharacteristic
183#380C22×C311yescharacteristic
184#380C22×C311yescharacteristic
185#340C22×C311yescharacteristic
186#340C22×C311yescharacteristic
187#340C22×C311yescharacteristic
188#340C22×C311yescharacteristic
189#340C22×C311yescharacteristic
190#340C22×C311yescharacteristic
191#340C22×C311yescharacteristic
192#340C22×C311yescharacteristic
193C24×C3—21no—
194C24×C3C2×D411yescharacteristic
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—42no—
202C2×C3×Q8—81no—
203C2×C3×Q8—81no—
204C2×C3×D4—21no—
205C2×C3×D4—21no—
206C2×C3×D4—21no—
207C2×C3×D4—21no—
208C2×C3×D4—21no—
209C2×C3×D4—21no—
210C2×C3×D4—42no—
211C2×C3×D4—81no—
212C2×C3×D4—81no—
213C22×C3×C4—21no—
214C22×C3×C4—21no—
215C22×C3×C4—21no—
216C22×C3×C4—21no—
217C22×C3×C4—21no—
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×C4C2×D411yescharacteristic
225C22×C3×C4C2×D411yescharacteristic
226C22×C3×C4C2×D411yescharacteristic
227C22×C3×C4C2×D411yescharacteristic
228C22×C3×C4C2×D411yescharacteristic
229C22×C3×C4#4112yes—
230C22×C3×C4#4112yes—
231C22×C3×C4C2411yescharacteristic
232C3×M16—28no—
233C2×C3×C8—28no—
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×D412yes—
244C2×C3×C8#4112yes—
245C2×C3×C8#4112yes—
246C3×C4⋊C4—22no—
247C3×C4⋊C4—22no—
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—21no—
256C3×C4⋊C4—21no—
257C3×C4⋊C4—21no—
258C3×C4⋊C4—21no—
259C3×C4⋊C4—21no—
260C3×C4⋊C4—42no—
261C3×C4⋊C4—42no—
262C3×C4⋊C4—81no—
263C3×C4⋊C4—81no—
264C3×C4⋊C4—81no—
265C3×C4⋊C4—81no—
266C3×C22⋊C4—22no—
267C3×C22⋊C4—22no—
268C3×C22⋊C4—42no—
269C3×C22⋊C4—42no—
270C3×C22⋊C4—42no—
271C3×C22⋊C4—42no—
272C3×C22⋊C4—81no—
273C3×C22⋊C4—81no—
274C3×C22⋊C4—81no—
275C3×C22⋊C4—81no—
276C3×C42—21no—
277C3×C42—21no—
278C3×C42C2×D412yes—
279C3×C42#4112yes—
280C22×Q8—21no—
281C22×Q8C23×C311yescharacteristic
282C22×D4—21no—
283C22×D4C23×C311yescharacteristic
284C23×C4C23×C311yescharacteristic
285C2×M16—22no—
286C2×M16—22no—
287C2×M16—22no—
288C22×C8—22no—
289C22×C8—22no—
290C22×C8—22no—
291C22×C8C23×C311yescharacteristic
292C22×C8C23×C311yescharacteristic
293C22×C8C23×C311yescharacteristic
294C22×C8C23×C311yescharacteristic
295C4⋊Q8—22no—
296C4⋊Q8—22no—
297#124—22no—
298#124—22no—
299C22⋊Q8—22no—
300C22⋊Q8—22no—
301#121—22no—
302#121—22no—
303#117—22no—
304#117—22no—
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×C4⋊C4C23×C311yescharacteristic
319C2×C22⋊C4—21no—
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⋊C4C3×D411yescharacteristic
328C2×C22⋊C4C3×D411yescharacteristic
329C2×C42C23×C311yescharacteristic
330C2×C42C23×C311yescharacteristic
331#103—22no—
332#103—22no—
333#103—22no—
334#103—22no—
335#102—22no—
336#102—22no—
337#102—22no—
338#102—22no—
339#97—22no—
340#97C3×D414yescomplemented
341C4×C8—22no—
342C4×C8—22no—
343#95—21no—
344#95—21no—
345#95—21no—
346#95—21no—
347#95—21no—
348#95—21no—
349#95—21no—
350#95—21no—
351C23×C3—21no—
352C23×C3—21no—
353C23×C3—21no—
354C23×C3—21no—
355C23×C3—21no—
356C23×C3—21no—
357C23×C3—41no—
358C23×C3—41no—
359C23×C3—41no—
360C23×C3—41no—
361C23×C3—41no—
362C23×C3—41no—
363C23×C3—41no—
364C23×C3#12412yes—
365C23×C3C22×D411yescharacteristic
366C3×Q8—41no—
367C3×Q8—41no—
368C3×Q8—41no—
369C3×Q8—41no—
370C3×Q8—84no—
371C3×D4—41no—
372C3×D4—41no—
373C3×D4—41no—
374C3×D4—41no—
375C3×D4—84no—
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—22no—
383C2×C3×C4—22no—
384C2×C3×C4—22no—
385C2×C3×C4—22no—
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—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—41no—
410C2×C3×C4—41no—
411C2×C3×C4—41no—
412C2×C3×C4—41no—
413C2×C3×C4#12112yes—
414C2×C3×C4#12112yes—
415C2×C3×C4#12412yes—
416C2×C3×C4C22×D411yescharacteristic
417C2×C3×C4C2×#4111yescharacteristic
418C2×C3×C4C2×#4111yescharacteristic
419C2×C3×C4C2×#4111yescharacteristic
420C2×C3×C4C2×#4111yescharacteristic
421C2×C3×C4C2×#4111yescharacteristic
422C3×C8—22no—
423C3×C8—22no—
424C3×C8—22no—
425C3×C8—22no—
426C24—21no—
427C24C2×C3×D411yescharacteristic
428C2×Q8—21no—
429C2×Q8—21no—
430C2×Q8—21no—
431C2×Q8—21no—
432C2×Q8—21no—
433C2×Q8—21no—
434C2×Q8—42no—
435C2×Q8—81no—
436C2×Q8—81no—
437C2×D4—21no—
438C2×D4—21no—
439C2×D4—21no—
440C2×D4—21no—
441C2×D4—21no—
442C2×D4—21no—
443C2×D4—42no—
444C2×D4—81no—
445C2×D4—81no—
446C22×C4—21no—
447C22×C4—21no—
448C22×C4—21no—
449C22×C4—21no—
450C22×C4—21no—
451C22×C4—21no—
452C22×C4—21no—
453C22×C4—21no—
454C22×C4—21no—
455C22×C4—21no—
456C22×C4—21no—
457C22×C4C2×C3×D411yescharacteristic
458C22×C4C2×C3×D411yescharacteristic
459C22×C4C2×C3×D411yescharacteristic
460C22×C4C2×C3×D411yescharacteristic
461C22×C4C2×C3×D411yescharacteristic
462C22×C4C3×#4112yes—
463C22×C4C3×#4112yes—
464C22×C4C24×C311yescharacteristic
465M16—28no—
466C2×C8—28no—
467C2×C8—21no—
468C2×C8—21no—
469C2×C8—21no—
470C2×C8—21no—
471C2×C8—21no—
472C2×C8—21no—
473C2×C8—21no—
474C2×C8—21no—
475C2×C8C2×C3×D412yes—
476C2×C8C2×C3×D412yes—
477C2×C8C3×#4112yes—
478C2×C8C3×#4112yes—
479C4⋊C4—22no—
480C4⋊C4—22no—
481C4⋊C4—21no—
482C4⋊C4—21no—
483C4⋊C4—21no—
484C4⋊C4—21no—
485C4⋊C4—21no—
486C4⋊C4—21no—
487C4⋊C4—21no—
488C4⋊C4—21no—
489C4⋊C4—21no—
490C4⋊C4—21no—
491C4⋊C4—21no—
492C4⋊C4—21no—
493C4⋊C4—42no—
494C4⋊C4—42no—
495C4⋊C4—81no—
496C4⋊C4—81no—
497C4⋊C4—81no—
498C4⋊C4—81no—
499C22⋊C4—22no—
500C22⋊C4—22no—
501C22⋊C4—42no—
502C22⋊C4—42no—
503C22⋊C4—42no—
504C22⋊C4—42no—
505C22⋊C4—81no—
506C22⋊C4—81no—
507C22⋊C4—81no—
508C22⋊C4—81no—
509C42—21no—
510C42—21no—
511C42C2×C3×D412yes—
512C42C3×#4112yes—
513C22×C3—22no—
514C22×C3—22no—
515C22×C3—22no—
516C22×C3—41no—
517C22×C3—41no—
518C22×C3—41no—
519C22×C3—41no—
520C22×C3—81no—
521C22×C3—81no—
522C22×C3—81no—
523C22×C3—81no—
524C22×C3—81no—
525C22×C3—81no—
526C22×C3—81no—
527C22×C3C2×#12111yescharacteristic
528C22×C3C2×#12411yescharacteristic
529C22×C3#53211yescharacteristic
530C22×C3#57611yescharacteristic
531C22×C3#57711yescharacteristic
532C22×C3#57711yescharacteristic
533C22×C3#57811yescharacteristic
534C3×C4—22no—
535C3×C4—22no—
536C3×C4—22no—
537C3×C4—41no—
538C3×C4—41no—
539C3×C4—81no—
540C3×C4—81no—
541C3×C4—81no—
542C3×C4—81no—
543C3×C4—81no—
544C3×C4—81no—
545C3×C4—81no—
546C3×C4#52511yescharacteristic
547C3×C4#52511yescharacteristic
548C3×C4#52911yescharacteristic
549C3×C4#52911yescharacteristic
550C23—21no—
551C23—21no—
552C23—21no—
553C23—21no—
554C23—21no—
555C23—21no—
556C23—41no—
557C23—41no—
558C23—41no—
559C23—41no—
560C23—41no—
561C23—41no—
562C23—41no—
563C23C3×#12412yes—
564C23C22×C3×D411yescharacteristic
565Q8—41no—
566Q8—41no—
567Q8—41no—
568Q8—41no—
569Q8—84no—
570D4—41no—
571D4—41no—
572D4—41no—
573D4—41no—
574D4—84no—
575C2×C4—21no—
576C2×C4—21no—
577C2×C4—21no—
578C2×C4—21no—
579C2×C4—21no—
580C2×C4—21no—
581C2×C4—22no—
582C2×C4—22no—
583C2×C4—22no—
584C2×C4—22no—
585C2×C4—21no—
586C2×C4—21no—
587C2×C4—21no—
588C2×C4—21no—
589C2×C4—21no—
590C2×C4—21no—
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×C4—41no—
610C2×C4—41no—
611C2×C4—41no—
612C2×C4C3×#12112yes—
613C2×C4C3×#12112yes—
614C2×C4C3×#12412yes—
615C2×C4C22×C3×D411yescharacteristic
616C2×C4C2×C3×#4111yescharacteristic
617C2×C4C2×C3×#4111yescharacteristic
618C2×C4C2×C3×#4111yescharacteristic
619C2×C4C2×C3×#4111yescharacteristic
620C2×C4C2×C3×#4111yescharacteristic
621C8—22no—
622C8—22no—
623C8—22no—
624C8—22no—
625C2×C3—42no—
626C2×C3—161no—
627C2×C3#285011yescharacteristic
628C2×C3#306211yescharacteristic
629C2×C3#306311yescharacteristic
630C2×C3#313611yescharacteristic
631C2×C3#313711yescharacteristic
632C2×C3#317311yescharacteristic
633C2×C3#317511yescharacteristic
634C22—22no—
635C22—22no—
636C22—22no—
637C22—41no—
638C22—41no—
639C22—41no—
640C22—41no—
641C22—81no—
642C22—81no—
643C22—81no—
644C22—81no—
645C22—81no—
646C22—81no—
647C22—81no—
648C22C2×C3×#12111yescharacteristic
649C22C2×C3×#12411yescharacteristic
650C22C3×#53211yescharacteristic
651C22C3×#57611yescharacteristic
652C22C3×#57711yescharacteristic
653C22C3×#57711yescharacteristic
654C22C3×#57811yescharacteristic
655C4—22no—
656C4—22no—
657C4—22no—
658C4—41no—
659C4—41no—
660C4—81no—
661C4—81no—
662C4—81no—
663C4—81no—
664C4—81no—
665C4—81no—
666C4—81no—
667C4C3×#52511yescharacteristic
668C4C3×#52511yescharacteristic
669C4C3×#52911yescharacteristic
670C4C3×#52911yescharacteristic
671C3#3305411yescharacteristic, direct product factor, Sylow
672C2—42no—
673C2—161no—
674C2C3×#285011yescharacteristic
675C2C3×#306211yescharacteristic
676C2C3×#306311yescharacteristic
677C2C3×#313611yescharacteristic
678C2C3×#313711yescharacteristic
679C2C3×#317311yescharacteristic
680C2C3×#317511yescharacteristic
subgroupG/H
center, socleC23×C3C22×D4
commutator, Frattini, cosocleC22×C4C24×C3
prime radicalC2×C3×#121C22
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×#489C2semidirect
2. C2×C3×#405C2semidirect
3. C3×#2628C2semidirect
5. C3×#1990C2semidirect
6. C3×#1958C2semidirect
7. C3×#1936C2semidirect
8. C3×#1935C2semidirect
9. C3×#1934C2semidirect
10. C3×#1933C2semidirect
12. C3×#1894C2semidirect
14. C3×#1892C2semidirect
15. C3×#1836C2semidirect
16. #33054C3direct (N × H)
62. C2×#489C2×C3semidirect
63. C2×#405C2×C3semidirect
64. #2628C2×C3semidirect
66. #1990C2×C3semidirect
67. #1958C2×C3semidirect
68. #1936C2×C3semidirect
69. #1935C2×C3semidirect
70. #1934C2×C3semidirect
71. #1933C2×C3semidirect
73. #1894C2×C3semidirect
75. #1892C2×C3semidirect
76. #1836C2×C3semidirect
137. C3×#97D4semidirect
340. #97C3×D4semidirect
671. C3#33054direct (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×#4052
C3×#26282
C3×#26202
C3×#19902
C3×#19582
C3×#19362
C3×#19352
C3×#19342
C3×#19332
C3×#18952
C3×#18942
C3×#18932
C3×#18922
C3×#18362
#330543