Finite Group Databasebeta

← C3×#29769 #10648376

Subgroups — C3×#29769 #10648376

Order 768.

808 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×#485C211yesmaximal, characteristic, complemented
2C2×C3×#482C211yesmaximal, characteristic
3C3×#2620C211yesmaximal, characteristic
4C3×#2317C211yesmaximal, characteristic, complemented
5C3×#2084C211yesmaximal, characteristic, complemented
6C3×#2083C211yesmaximal, characteristic, complemented
7C3×#2068C211yesmaximal, characteristic, complemented
8C3×#2067C211yesmaximal, characteristic, complemented
9C3×#2066C211yesmaximal, characteristic, complemented
10C3×#2065C211yesmaximal, characteristic, complemented
11C3×#2042C211yesmaximal, characteristic, complemented
12C3×#2042C211yesmaximal, characteristic, complemented
13C3×#1874C211yesmaximal, characteristic
14C3×#1872C211yesmaximal, characteristic, complemented
15C3×#1798C211yesmaximal, characteristic, complemented
16#29769C311yesmaximal, characteristic, direct product factor, Sylow
17C2×C3×#124C2211yescharacteristic
18C2×C3×C22⋊Q8C2211yescharacteristic
19C2×C3×#121C2211yescharacteristic
20C2×C3×#117C2211yescharacteristic
21C2×C3×#117C2211yescharacteristic
22C22×C3×C4⋊C4C2211yescharacteristic
23C3×#485—24no—
24C3×#482—24no—
25C2×C3×#107C2211yescharacteristic
26C2×C3×#107C2211yescharacteristic
27C2×C3×#106C2211yescharacteristic
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×#102C2211yescharacteristic
36C2×C3×#102C2211yescharacteristic
37C2×C3×#102C2211yescharacteristic
38C2×C3×#102C2211yescharacteristic
39C2×C3×C22⋊C8C2211yescharacteristic
40C2×C3×C22⋊C8C2211yescharacteristic
41C3×#396—21no—
42C3×#396—21no—
43C3×#394—21no—
44C3×#394—21no—
45C3×#391C2211yescharacteristic
46C3×#390C2211yescharacteristic
47C3×#389C2211yescharacteristic
48C3×#389C2211yescharacteristic
49C3×#389C2211yescharacteristic
50C3×#389C2211yescharacteristic
51C3×#385—21no—
52C3×#385—21no—
53C3×#384—21no—
54C3×#384C2211yescharacteristic
55C3×#382—21no—
56C3×#340C2211yescharacteristic
57C3×#340C2211yescharacteristic
58C3×#340C2211yescharacteristic
59C3×#340C2211yescharacteristic
60C3×#336C2211yescharacteristic
61C3×#336C2211yescharacteristic
62C2×#485C2×C311yescharacteristic, complemented
63C2×#482C2×C311yescharacteristic
64#2620C2×C311yescharacteristic
65#2317C2×C311yescharacteristic, complemented
66#2084C2×C311yescharacteristic, complemented
67#2083C2×C311yescharacteristic, complemented
68#2068C2×C311yescharacteristic, complemented
69#2067C2×C311yescharacteristic, complemented
70#2066C2×C311yescharacteristic, complemented
71#2065C2×C311yescharacteristic, complemented
72#2042C2×C311yescharacteristic, complemented
73#2042C2×C311yescharacteristic, complemented
74#1874C2×C311yescharacteristic
75#1872C2×C311yescharacteristic, complemented
76#1798C2×C311yescharacteristic, complemented
77C22×C3×Q8C2311yescharacteristic
78C22×C3×D4—21no—
79C22×C3×D4C2311yescharacteristic
80C23×C3×C4—21no—
81C23×C3×C4C2311yescharacteristic
82C22×C3×C8C2311yescharacteristic
83C22×C3×C8C2311yescharacteristic
84C22×C3×C8C2311yescharacteristic
85C22×C3×C8C2311yescharacteristic
86C3×#124—41no—
87C3×#124—41no—
88C3×C22⋊Q8—22no—
89C3×C22⋊Q8—22no—
90C3×#121—22no—
91C3×#121—22no—
92C3×#117—22no—
93C3×#117—41no—
94C3×#117—41no—
95C3×#117D414yes—
96C2×C3×C4⋊C4—21no—
97C2×C3×C4⋊C4—21no—
98C2×C3×C4⋊C4—21no—
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—41no—
105C2×C3×C4⋊C4—41no—
106C2×C3×C4⋊C4D411yescharacteristic
107C2×C3×C4⋊C4D411yescharacteristic
108C2×C3×C4⋊C4C2311yescharacteristic
109C2×C3×C4⋊C4C2311yescharacteristic
110C2×C3×C4⋊C4C2311yescharacteristic
111C2×C3×C4⋊C4C2311yescharacteristic
112C2×C3×C4⋊C4C2311yescharacteristic
113C2×C3×C4⋊C4C2311yescharacteristic
114C2×C3×C22⋊C4—21no—
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×C22⋊C4D411yescharacteristic
122C2×C3×C22⋊C4D411yescharacteristic
123C2×C3×C42—21no—
124C2×C3×C42C2311yescharacteristic
125C2×C3×C42C2311yescharacteristic
126C3×#107—22no—
127C3×#107—22no—
128C3×#106—22no—
129C3×#106—22no—
130C3×C4⋊C8—41no—
131C3×C4⋊C8—41no—
132C3×#103—22no—
133C3×#103—22no—
134C3×#103—41no—
135C3×#103—41no—
136C3×#102—22no—
137C3×#102—22no—
138C3×#102—41no—
139C3×#102—41no—
140C3×C22⋊C8—22no—
141C3×C22⋊C8—22no—
142C3×#95—21no—
143C3×#95—21no—
144C3×#95—21no—
145C3×#95—21no—
146C3×#95—21no—
147C3×#95—21no—
148C2×#124C22×C311yescharacteristic
149C2×C22⋊Q8C22×C311yescharacteristic
150C2×#121C22×C311yescharacteristic
151C2×#117C22×C311yescharacteristic
152C2×#117C22×C311yescharacteristic
153C22×C4⋊C4C22×C311yescharacteristic
154#485—24no—
155#482—24no—
156C2×#107C22×C311yescharacteristic
157C2×#107C22×C311yescharacteristic
158C2×#106C22×C311yescharacteristic
159C2×#106C22×C311yescharacteristic
160C2×C4⋊C8C22×C311yescharacteristic
161C2×C4⋊C8C22×C311yescharacteristic
162C2×#103C22×C311yescharacteristic
163C2×#103C22×C311yescharacteristic
164C2×#103C22×C311yescharacteristic
165C2×#103C22×C311yescharacteristic
166C2×#102C22×C311yescharacteristic
167C2×#102C22×C311yescharacteristic
168C2×#102C22×C311yescharacteristic
169C2×#102C22×C311yescharacteristic
170C2×C22⋊C8C22×C311yescharacteristic
171C2×C22⋊C8C22×C311yescharacteristic
172#396—21no—
173#396—21no—
174#394—21no—
175#394—21no—
176#391C22×C311yescharacteristic
177#390C22×C311yescharacteristic
178#389C22×C311yescharacteristic
179#389C22×C311yescharacteristic
180#389C22×C311yescharacteristic
181#389C22×C311yescharacteristic
182#385—21no—
183#385—21no—
184#384—21no—
185#384C22×C311yescharacteristic
186#382—21no—
187#340C22×C311yescharacteristic
188#340C22×C311yescharacteristic
189#340C22×C311yescharacteristic
190#340C22×C311yescharacteristic
191#336C22×C311yescharacteristic
192#336C22×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×D4—21no—
202C2×C3×D4—21no—
203C2×C3×D4—21no—
204C2×C3×D4—21no—
205C2×C3×D4—21no—
206C2×C3×D4—21no—
207C2×C3×D4—42no—
208C2×C3×D4—81no—
209C2×C3×D4—81no—
210C22×C3×C4—21no—
211C22×C3×C4—21no—
212C22×C3×C4—21no—
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—42no—
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×D412yes—
230C22×C3×C4#4112yes—
231C22×C3×C4C2411yescharacteristic
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×C8—21no—
243C2×C3×C8—21no—
244C3×C4⋊C4—21no—
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—41no—
255C3×C4⋊C4—41no—
256C3×C4⋊C4—42no—
257C3×C4⋊C4—42no—
258C3×C4⋊C4—81no—
259C3×C4⋊C4—81no—
260C3×C4⋊C4—81no—
261C3×C4⋊C4—81no—
262C3×C4⋊C4—81no—
263C3×C4⋊C4—81no—
264C3×C4⋊C4C2×D412yes—
265C3×C4⋊C4C2×D412yes—
266C3×C22⋊C4—24no—
267C3×C22⋊C4—41no—
268C3×C22⋊C4—41no—
269C3×C22⋊C4—42no—
270C3×C22⋊C4—42no—
271C3×C22⋊C4—42no—
272C3×C22⋊C4—42no—
273C3×C22⋊C4—81no—
274C3×C22⋊C4—81no—
275C3×C42—24no—
276C3×C42—21no—
277C3×C42—21no—
278C3×C42—21no—
279C3×C42—21no—
280C22×Q8C23×C311yescharacteristic
281C22×D4—21no—
282C22×D4C23×C311yescharacteristic
283C23×C4—21no—
284C23×C4C23×C311yescharacteristic
285C22×C8C23×C311yescharacteristic
286C22×C8C23×C311yescharacteristic
287C22×C8C23×C311yescharacteristic
288C22×C8C23×C311yescharacteristic
289#124—41no—
290#124—41no—
291C22⋊Q8—22no—
292C22⋊Q8—22no—
293#121—22no—
294#121—22no—
295#117—22no—
296#117—41no—
297#117—41no—
298#117C3×D414yes—
299C2×C4⋊C4—21no—
300C2×C4⋊C4—21no—
301C2×C4⋊C4—21no—
302C2×C4⋊C4—21no—
303C2×C4⋊C4—21no—
304C2×C4⋊C4—21no—
305C2×C4⋊C4—21no—
306C2×C4⋊C4—21no—
307C2×C4⋊C4—41no—
308C2×C4⋊C4—41no—
309C2×C4⋊C4C3×D411yescharacteristic
310C2×C4⋊C4C3×D411yescharacteristic
311C2×C4⋊C4C23×C311yescharacteristic
312C2×C4⋊C4C23×C311yescharacteristic
313C2×C4⋊C4C23×C311yescharacteristic
314C2×C4⋊C4C23×C311yescharacteristic
315C2×C4⋊C4C23×C311yescharacteristic
316C2×C4⋊C4C23×C311yescharacteristic
317C2×C22⋊C4—21no—
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×C22⋊C4C3×D411yescharacteristic
325C2×C22⋊C4C3×D411yescharacteristic
326C2×C42—21no—
327C2×C42C23×C311yescharacteristic
328C2×C42C23×C311yescharacteristic
329#107—22no—
330#107—22no—
331#106—22no—
332#106—22no—
333C4⋊C8—41no—
334C4⋊C8—41no—
335#103—22no—
336#103—22no—
337#103—41no—
338#103—41no—
339#102—22no—
340#102—22no—
341#102—41no—
342#102—41no—
343C22⋊C8—22no—
344C22⋊C8—22no—
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#12112yes—
365C23×C3C22×D411yescharacteristic
366C3×Q8—41no—
367C3×Q8—41no—
368C3×Q8—41no—
369C3×Q8—41no—
370C3×D4—41no—
371C3×D4—41no—
372C3×D4—41no—
373C3×D4—41no—
374C3×D4—84no—
375C2×C3×C4—21no—
376C2×C3×C4—21no—
377C2×C3×C4—22no—
378C2×C3×C4—22no—
379C2×C3×C4—22no—
380C2×C3×C4—22no—
381C2×C3×C4—22no—
382C2×C3×C4—22no—
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—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—84no—
415C2×C3×C4#12112yes—
416C2×C3×C4C22×D411yescharacteristic
417C2×C3×C4C2×#4111yescharacteristic
418C2×C3×C4H(5,𝔽2)11yescharacteristic
419C2×C3×C4H(5,𝔽2)11yescharacteristic
420C2×C3×C42−1+411yescharacteristic
421C2×C3×C42−1+411yescharacteristic
422C3×C8—41no—
423C3×C8—41no—
424C3×C8—41no—
425C3×C8—41no—
426C24—21no—
427C24C2×C3×D411yescharacteristic
428C2×Q8—21no—
429C2×Q8—21no—
430C2×Q8—21no—
431C2×Q8—21no—
432C2×Q8—21no—
433C2×Q8—21no—
434C2×D4—21no—
435C2×D4—21no—
436C2×D4—21no—
437C2×D4—21no—
438C2×D4—21no—
439C2×D4—21no—
440C2×D4—42no—
441C2×D4—81no—
442C2×D4—81no—
443C22×C4—21no—
444C22×C4—21no—
445C22×C4—21no—
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—42no—
455C22×C4—81no—
456C22×C4—81no—
457C22×C4C2×C3×D411yescharacteristic
458C22×C4C2×C3×D411yescharacteristic
459C22×C4C2×C3×D411yescharacteristic
460C22×C4C2×C3×D411yescharacteristic
461C22×C4C2×C3×D411yescharacteristic
462C22×C4C2×C3×D412yes—
463C22×C4C3×#4112yes—
464C22×C4C24×C311yescharacteristic
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×C8—21no—
474C2×C8—21no—
475C2×C8—21no—
476C2×C8—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—21no—
487C4⋊C4—41no—
488C4⋊C4—41no—
489C4⋊C4—42no—
490C4⋊C4—42no—
491C4⋊C4—81no—
492C4⋊C4—81no—
493C4⋊C4—81no—
494C4⋊C4—81no—
495C4⋊C4—81no—
496C4⋊C4—81no—
497C4⋊C4C2×C3×D412yes—
498C4⋊C4C2×C3×D412yes—
499C22⋊C4—24no—
500C22⋊C4—41no—
501C22⋊C4—41no—
502C22⋊C4—42no—
503C22⋊C4—42no—
504C22⋊C4—42no—
505C22⋊C4—42no—
506C22⋊C4—81no—
507C22⋊C4—81no—
508C42—24no—
509C42—21no—
510C42—21no—
511C42—21no—
512C42—21no—
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×C3#53411yescharacteristic
529C22×C3#53611yescharacteristic
530C22×C3#57611yescharacteristic
531C22×C3#57711yescharacteristic
532C22×C3#57711yescharacteristic
533C22×C3#57811yescharacteristic
534C3×C4—22no—
535C3×C4—41no—
536C3×C4—41no—
537C3×C4—41no—
538C3×C4—41no—
539C3×C4—42no—
540C3×C4—42no—
541C3×C4—81no—
542C3×C4—81no—
543C3×C4—81no—
544C3×C4—81no—
545C3×C4—81no—
546C3×C4#53711yescharacteristic
547C3×C4#53711yescharacteristic
548C3×C4#53911yescharacteristic
549C3×C4#53911yescharacteristic
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×#12112yes—
564C23C22×C3×D411yescharacteristic
565Q8—41no—
566Q8—41no—
567Q8—41no—
568Q8—41no—
569D4—41no—
570D4—41no—
571D4—41no—
572D4—41no—
573D4—84no—
574C2×C4—21no—
575C2×C4—21no—
576C2×C4—22no—
577C2×C4—22no—
578C2×C4—22no—
579C2×C4—22no—
580C2×C4—21no—
581C2×C4—21no—
582C2×C4—21no—
583C2×C4—21no—
584C2×C4—21no—
585C2×C4—21no—
586C2×C4—21no—
587C2×C4—21no—
588C2×C4—22no—
589C2×C4—22no—
590C2×C4—21no—
591C2×C4—21no—
592C2×C4—21no—
593C2×C4—21no—
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×C4—41no—
613C2×C4—84no—
614C2×C4C3×#12112yes—
615C2×C4C22×C3×D411yescharacteristic
616C2×C4C2×C3×#4111yescharacteristic
617C2×C4C3×H(5,𝔽2)11yescharacteristic
618C2×C4C3×H(5,𝔽2)11yescharacteristic
619C2×C4C3×2−1+411yescharacteristic
620C2×C4C3×2−1+411yescharacteristic
621C8—41no—
622C8—41no—
623C8—41no—
624C8—41no—
625C2×C3—42no—
626C2×C3—161no—
627C2×C3#261811yescharacteristic
628C2×C3#304511yescharacteristic
629C2×C3#304611yescharacteristic
630C2×C3#319811yescharacteristic
631C2×C3#320111yescharacteristic
632C2×C3#324311yescharacteristic
633C2×C3#324411yescharacteristic
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
649C22C3×#53411yescharacteristic
650C22C3×#53611yescharacteristic
651C22C3×#57611yescharacteristic
652C22C3×#57711yescharacteristic
653C22C3×#57711yescharacteristic
654C22C3×#57811yescharacteristic
655C4—22no—
656C4—41no—
657C4—41no—
658C4—41no—
659C4—41no—
660C4—42no—
661C4—42no—
662C4—81no—
663C4—81no—
664C4—81no—
665C4—81no—
666C4—81no—
667C4C3×#53711yescharacteristic
668C4C3×#53711yescharacteristic
669C4C3×#53911yescharacteristic
670C4C3×#53911yescharacteristic
671C3#2976911yescharacteristic, direct product factor, Sylow
672C2—42no—
673C2—161no—
674C2C3×#261811yescharacteristic
675C2C3×#304511yescharacteristic
676C2C3×#304611yescharacteristic
677C2C3×#319811yescharacteristic
678C2C3×#320111yescharacteristic
679C2C3×#324311yescharacteristic
680C2C3×#324411yescharacteristic
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×#485C2semidirect
4. C3×#2317C2semidirect
5. C3×#2084C2semidirect
6. C3×#2083C2semidirect
7. C3×#2068C2semidirect
8. C3×#2067C2semidirect
9. C3×#2066C2semidirect
10. C3×#2065C2semidirect
11. C3×#2042C2semidirect
12. C3×#2042C2semidirect
14. C3×#1872C2semidirect
15. C3×#1798C2semidirect
16. #29769C3direct (N × H)
62. C2×#485C2×C3semidirect
65. #2317C2×C3semidirect
66. #2084C2×C3semidirect
67. #2083C2×C3semidirect
68. #2068C2×C3semidirect
69. #2067C2×C3semidirect
70. #2066C2×C3semidirect
71. #2065C2×C3semidirect
72. #2042C2×C3semidirect
73. #2042C2×C3semidirect
75. #1872C2×C3semidirect
76. #1798C2×C3semidirect
671. C3#29769direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C3×#4852
C2×C3×#4822
C3×#26202
C3×#23172
C3×#20842
C3×#20832
C3×#20682
C3×#20672
C3×#20662
C3×#20652
C3×#20422
C3×#18742
C3×#18722
C3×#17982
#297693