Finite Group Databasebeta

← C3×#26806 #10645413

Subgroups — C3×#26806 #10645413

Order 768.

840 conjugacy classes of subgroups.

The subgroup lattice has 680 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C3×#481C211yesmaximal, characteristic
2C2×C3×#479C211yesmaximal, characteristic, complemented
3C3×#2490C211yesmaximal, characteristic
4C3×#2360C211yesmaximal, characteristic, complemented
5C3×#2067C211yesmaximal, characteristic, complemented
6C3×#2059C211yesmaximal, characteristic, complemented
7C3×#2036C211yesmaximal, characteristic, complemented
8C3×#2000C211yesmaximal, characteristic
9C3×#1973C211yesmaximal, characteristic, complemented
10C3×#1927C211yesmaximal, characteristic, complemented
11C3×#1925C211yesmaximal, characteristic, complemented
12C3×#1924C211yesmaximal, characteristic, complemented
13C3×#1880C211yesmaximal, characteristic, complemented
14C3×#1852C211yesmaximal, characteristic, complemented
15C3×#1776C211yesmaximal, characteristic, complemented
16#26806C311yesmaximal, characteristic, direct product factor, Sylow
17C22×C3×SD16C2211yescharacteristic
18C2×C3×#125C2211yescharacteristic
19C2×C3×C22⋊Q8C2211yescharacteristic
20C2×C3×#121C2211yescharacteristic
21C2×C3×C4×Q8C2211yescharacteristic
22C22×C3×C4⋊C4C2211yescharacteristic
23C3×#481—24no—
24C3×#479—24no—
25C2×C3×#107C2211yescharacteristic
26C2×C3×#107C2211yescharacteristic
27C2×C3×#107C2211yescharacteristic
28C2×C3×#106C2211yescharacteristic
29C2×C3×#106C2211yescharacteristic
30C2×C3×C4⋊C8C2211yescharacteristic
31C2×C3×#103C2211yescharacteristic
32C2×C3×#103C2211yescharacteristic
33C2×C3×#103C2211yescharacteristic
34C2×C3×#102C2211yescharacteristic
35C2×C3×#102C2211yescharacteristic
36C2×C3×#102C2211yescharacteristic
37C2×C3×C22⋊C8C2211yescharacteristic
38C2×C3×C22⋊C8C2211yescharacteristic
39C2×C3×#97C2211yescharacteristic
40C3×#397—21no—
41C3×#394—21no—
42C3×#391C2211yescharacteristic
43C3×#390—21no—
44C3×#390C2211yescharacteristic
45C3×#390C2211yescharacteristic
46C3×#389—21no—
47C3×#389C2211yescharacteristic
48C3×#388—21no—
49C3×#387—21no—
50C3×#385—21no—
51C3×#380C2211yescharacteristic
52C3×C4×C4⋊C4C2211yescharacteristic
53C3×C4×C4⋊C4C2211yescharacteristic
54C3×C4×C22⋊C4—21no—
55C3×C4×C22⋊C4C2211yescharacteristic
56C3×#340C2211yescharacteristic
57C3×#340C2211yescharacteristic
58C3×#340C2211yescharacteristic
59C3×#340C2211yescharacteristic
60C3×#336C2211yescharacteristic
61C3×#336C2211yescharacteristic
62C2×#481C2×C311yescharacteristic
63C2×#479C2×C311yescharacteristic, complemented
64#2490C2×C311yescharacteristic
65#2360C2×C311yescharacteristic, complemented
66#2067C2×C311yescharacteristic, complemented
67#2059C2×C311yescharacteristic, complemented
68#2036C2×C311yescharacteristic, complemented
69#2000C2×C311yescharacteristic
70#1973C2×C311yescharacteristic, complemented
71#1927C2×C311yescharacteristic, complemented
72#1925C2×C311yescharacteristic, complemented
73#1924C2×C311yescharacteristic, complemented
74#1880C2×C311yescharacteristic, complemented
75#1852C2×C311yescharacteristic, complemented
76#1776C2×C311yescharacteristic, complemented
77C22×C3×Q8C2311yescharacteristic
78C22×C3×D4—21no—
79C22×C3×D4C2311yescharacteristic
80C23×C3×C4—21no—
81C23×C3×C4C2311yescharacteristic
82C2×C3×SD16—22no—
83C2×C3×SD16—22no—
84C2×C3×SD16—41no—
85C22×C3×C8C2311yescharacteristic
86C22×C3×C8C2311yescharacteristic
87C22×C3×C8C2311yescharacteristic
88C22×C3×C8C2311yescharacteristic
89C3×#125—22no—
90C3×#125—41no—
91C3×C22⋊Q8—22no—
92C3×C22⋊Q8—22no—
93C3×#121—22no—
94C3×#121—41no—
95C3×C4×Q8—22no—
96C3×C4×Q8—41no—
97C2×C3×C4⋊C4—21no—
98C2×C3×C4⋊C4—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—41no—
105C2×C3×C4⋊C4C2311yescharacteristic
106C2×C3×C4⋊C4C2311yescharacteristic
107C2×C3×C4⋊C4C2311yescharacteristic
108C2×C3×C4⋊C4C2311yescharacteristic
109C2×C3×C4⋊C4C2311yescharacteristic
110C2×C3×C4⋊C4C2311yescharacteristic
111C2×C3×C22⋊C4—21no—
112C2×C3×C22⋊C4—21no—
113C2×C3×C22⋊C4—21no—
114C2×C3×C22⋊C4—21no—
115C2×C3×C22⋊C4—21no—
116C2×C3×C22⋊C4—21no—
117C2×C3×C22⋊C4—21no—
118C2×C3×C22⋊C4D411yescharacteristic
119C2×C3×C22⋊C4D411yescharacteristic
120C2×C3×C42—21no—
121C2×C3×C42—21no—
122C2×C3×C42—21no—
123C2×C3×C42C2311yescharacteristic
124C2×C3×C42C2311yescharacteristic
125C3×#107—22no—
126C3×#107—22no—
127C3×#107—41no—
128C3×#106—22no—
129C3×#106D414yes—
130C3×C4⋊C8—22no—
131C3×#103—22no—
132C3×#103—22no—
133C3×#103—22no—
134C3×#102—22no—
135C3×#102—22no—
136C3×#102—22no—
137C3×C22⋊C8—22no—
138C3×C22⋊C8—22no—
139C3×#97—22no—
140C3×#95—21no—
141C3×#95—21no—
142C3×#95—21no—
143C3×#95—21no—
144C3×#95—21no—
145C3×#95—21no—
146C3×#95D411yescharacteristic
147C3×#95D411yescharacteristic
148C22×SD16C22×C311yescharacteristic
149C2×#125C22×C311yescharacteristic
150C2×C22⋊Q8C22×C311yescharacteristic
151C2×#121C22×C311yescharacteristic
152C2×C4×Q8C22×C311yescharacteristic
153C22×C4⋊C4C22×C311yescharacteristic
154#481—24no—
155#479—24no—
156C2×#107C22×C311yescharacteristic
157C2×#107C22×C311yescharacteristic
158C2×#107C22×C311yescharacteristic
159C2×#106C22×C311yescharacteristic
160C2×#106C22×C311yescharacteristic
161C2×C4⋊C8C22×C311yescharacteristic
162C2×#103C22×C311yescharacteristic
163C2×#103C22×C311yescharacteristic
164C2×#103C22×C311yescharacteristic
165C2×#102C22×C311yescharacteristic
166C2×#102C22×C311yescharacteristic
167C2×#102C22×C311yescharacteristic
168C2×C22⋊C8C22×C311yescharacteristic
169C2×C22⋊C8C22×C311yescharacteristic
170C2×#97C22×C311yescharacteristic
171#397—21no—
172#394—21no—
173#391C22×C311yescharacteristic
174#390—21no—
175#390C22×C311yescharacteristic
176#390C22×C311yescharacteristic
177#389—21no—
178#389C22×C311yescharacteristic
179#388—21no—
180#387—21no—
181#385—21no—
182#380C22×C311yescharacteristic
183C4×C4⋊C4C22×C311yescharacteristic
184C4×C4⋊C4C22×C311yescharacteristic
185C4×C22⋊C4—21no—
186C4×C22⋊C4C22×C311yescharacteristic
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#4112yes—
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—42no—
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—21no—
222C22×C3×C4—21no—
223C22×C3×C4—42no—
224C22×C3×C4—42no—
225C22×C3×C4—81no—
226C22×C3×C4C2×D411yescharacteristic
227C22×C3×C4C2×D411yescharacteristic
228C22×C3×C4C2×D411yescharacteristic
229C22×C3×C4C2×D411yescharacteristic
230C22×C3×C4C2×D411yescharacteristic
231C22×C3×C4C2411yescharacteristic
232C3×SD16—44no—
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×C8C2×D412yes—
244C2×C3×C8#4112yes—
245C3×C4⋊C4—24no—
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—42no—
256C3×C4⋊C4—42no—
257C3×C4⋊C4—42no—
258C3×C4⋊C4—42no—
259C3×C4⋊C4—81no—
260C3×C4⋊C4C2×D412yes—
261C3×C4⋊C4C2×D412yes—
262C3×C4⋊C4#4112yes—
263C3×C22⋊C4—24no—
264C3×C22⋊C4—22no—
265C3×C22⋊C4—41no—
266C3×C22⋊C4—42no—
267C3×C22⋊C4—42no—
268C3×C22⋊C4—81no—
269C3×C22⋊C4—81no—
270C3×C22⋊C4—81no—
271C3×C22⋊C4—81no—
272C3×C42—21no—
273C3×C42—21no—
274C3×C42—21no—
275C3×C42—21no—
276C3×C42—42no—
277C3×C42—81no—
278C3×C42—81no—
279C22×Q8C23×C311yescharacteristic
280C22×D4—21no—
281C22×D4C23×C311yescharacteristic
282C23×C4—21no—
283C23×C4C23×C311yescharacteristic
284C2×SD16—22no—
285C2×SD16—22no—
286C2×SD16—41no—
287C22×C8C23×C311yescharacteristic
288C22×C8C23×C311yescharacteristic
289C22×C8C23×C311yescharacteristic
290C22×C8C23×C311yescharacteristic
291#125—22no—
292#125—41no—
293C22⋊Q8—22no—
294C22⋊Q8—22no—
295#121—22no—
296#121—41no—
297C4×Q8—22no—
298C4×Q8—41no—
299C2×C4⋊C4—21no—
300C2×C4⋊C4—22no—
301C2×C4⋊C4—21no—
302C2×C4⋊C4—21no—
303C2×C4⋊C4—21no—
304C2×C4⋊C4—21no—
305C2×C4⋊C4—21no—
306C2×C4⋊C4—41no—
307C2×C4⋊C4C23×C311yescharacteristic
308C2×C4⋊C4C23×C311yescharacteristic
309C2×C4⋊C4C23×C311yescharacteristic
310C2×C4⋊C4C23×C311yescharacteristic
311C2×C4⋊C4C23×C311yescharacteristic
312C2×C4⋊C4C23×C311yescharacteristic
313C2×C22⋊C4—21no—
314C2×C22⋊C4—21no—
315C2×C22⋊C4—21no—
316C2×C22⋊C4—21no—
317C2×C22⋊C4—21no—
318C2×C22⋊C4—21no—
319C2×C22⋊C4—21no—
320C2×C22⋊C4C3×D411yescharacteristic
321C2×C22⋊C4C3×D411yescharacteristic
322C2×C42—21no—
323C2×C42—21no—
324C2×C42—21no—
325C2×C42C23×C311yescharacteristic
326C2×C42C23×C311yescharacteristic
327#107—22no—
328#107—22no—
329#107—41no—
330#106—22no—
331#106C3×D414yes—
332C4⋊C8—22no—
333#103—22no—
334#103—22no—
335#103—22no—
336#102—22no—
337#102—22no—
338#102—22no—
339C22⋊C8—22no—
340C22⋊C8—22no—
341#97—22no—
342#95—21no—
343#95—21no—
344#95—21no—
345#95—21no—
346#95—21no—
347#95—21no—
348#95C3×D411yescharacteristic
349#95C3×D411yescharacteristic
350C23×C3—21no—
351C23×C3—21no—
352C23×C3—21no—
353C23×C3—21no—
354C23×C3—21no—
355C23×C3—21no—
356C23×C3—41no—
357C23×C3—41no—
358C23×C3—41no—
359C23×C3—41no—
360C23×C3—41no—
361C23×C3—41no—
362C23×C3—41no—
363C23×C3#13712yes—
364C23×C3C22×D411yescharacteristic
365C3×Q8—22no—
366C3×Q8—22no—
367C3×Q8—41no—
368C3×Q8—41no—
369C3×D4—41no—
370C3×D4—41no—
371C3×D4—41no—
372C3×D4—41no—
373C3×D4—84no—
374C2×C3×C4—22no—
375C2×C3×C4—22no—
376C2×C3×C4—21no—
377C2×C3×C4—21no—
378C2×C3×C4—21no—
379C2×C3×C4—22no—
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—21no—
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—41no—
414C2×C3×C4—84no—
415C2×C3×C4C22×D411yescharacteristic
416C2×C3×C4C2×#4111yescharacteristic
417C2×C3×C4C2×#4111yescharacteristic
418C2×C3×C4C2×#4111yescharacteristic
419C2×C3×C4H(5,𝔽2)11yescharacteristic
420C2×C3×C42−1+411yescharacteristic
421C3×C8—22no—
422C3×C8—22no—
423C3×C8—41no—
424C3×C8—41no—
425C24—21no—
426C24C2×C3×D411yescharacteristic
427C2×Q8—21no—
428C2×Q8—21no—
429C2×Q8—21no—
430C2×Q8—21no—
431C2×Q8—21no—
432C2×Q8C3×#4112yes—
433C2×D4—21no—
434C2×D4—21no—
435C2×D4—21no—
436C2×D4—21no—
437C2×D4—21no—
438C2×D4—21no—
439C2×D4—42no—
440C2×D4—42no—
441C2×D4—81no—
442C22×C4—21no—
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—21no—
455C22×C4—42no—
456C22×C4—42no—
457C22×C4—81no—
458C22×C4C2×C3×D411yescharacteristic
459C22×C4C2×C3×D411yescharacteristic
460C22×C4C2×C3×D411yescharacteristic
461C22×C4C2×C3×D411yescharacteristic
462C22×C4C2×C3×D411yescharacteristic
463C22×C4C24×C311yescharacteristic
464SD16—44no—
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×C8C2×C3×D412yes—
476C2×C8C3×#4112yes—
477C4⋊C4—24no—
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—42no—
488C4⋊C4—42no—
489C4⋊C4—42no—
490C4⋊C4—42no—
491C4⋊C4—81no—
492C4⋊C4C2×C3×D412yes—
493C4⋊C4C2×C3×D412yes—
494C4⋊C4C3×#4112yes—
495C22⋊C4—24no—
496C22⋊C4—22no—
497C22⋊C4—41no—
498C22⋊C4—42no—
499C22⋊C4—42no—
500C22⋊C4—81no—
501C22⋊C4—81no—
502C22⋊C4—81no—
503C22⋊C4—81no—
504C42—21no—
505C42—21no—
506C42—21no—
507C42—21no—
508C42—42no—
509C42—81no—
510C42—81no—
511C22×C3—22no—
512C22×C3—22no—
513C22×C3—22no—
514C22×C3—41no—
515C22×C3—41no—
516C22×C3—41no—
517C22×C3—41no—
518C22×C3—81no—
519C22×C3—81no—
520C22×C3—81no—
521C22×C3—81no—
522C22×C3—81no—
523C22×C3—81no—
524C22×C3—81no—
525C22×C3#52511yescharacteristic
526C22×C3D4211yescharacteristic
527C22×C3#54711yescharacteristic
528C22×C3C2×#13711yescharacteristic
529C22×C3#57511yescharacteristic
530C22×C3#57611yescharacteristic
531C22×C3#57711yescharacteristic
532C3×C4—41no—
533C3×C4—41no—
534C3×C4—42no—
535C3×C4—41no—
536C3×C4—42no—
537C3×C4—41no—
538C3×C4—42no—
539C3×C4—41no—
540C3×C4—42no—
541C3×C4—81no—
542C3×C4—81no—
543C3×C4—81no—
544C3×C4#53211yescharacteristic
545C3×C4#54211yescharacteristic
546C3×C4#54811yescharacteristic
547C3×C4#55111yescharacteristic
548C23—21no—
549C23—21no—
550C23—21no—
551C23—21no—
552C23—21no—
553C23—21no—
554C23—41no—
555C23—41no—
556C23—41no—
557C23—41no—
558C23—41no—
559C23—41no—
560C23—41no—
561C23C3×#13712yes—
562C23C22×C3×D411yescharacteristic
563Q8—22no—
564Q8—22no—
565Q8—41no—
566Q8—41no—
567D4—41no—
568D4—41no—
569D4—41no—
570D4—41no—
571D4—84no—
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—22no—
581C2×C4—22no—
582C2×C4—21no—
583C2×C4—21no—
584C2×C4—21no—
585C2×C4—22no—
586C2×C4—21no—
587C2×C4—22no—
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×C4—84no—
613C2×C4C22×C3×D411yescharacteristic
614C2×C4C2×C3×#4111yescharacteristic
615C2×C4C2×C3×#4111yescharacteristic
616C2×C4C2×C3×#4111yescharacteristic
617C2×C4C3×H(5,𝔽2)11yescharacteristic
618C2×C4C3×2−1+411yescharacteristic
619C8—22no—
620C8—22no—
621C8—41no—
622C8—41no—
623C2×C3—42no—
624C2×C3—161no—
625C2×C3#246111yescharacteristic
626C2×C3#311711yescharacteristic
627C2×C3#311911yescharacteristic
628C2×C3#326611yescharacteristic
629C2×C3#326811yescharacteristic
630C2×C3#334611yescharacteristic
631C2×C3#335111yescharacteristic
632C22—22no—
633C22—22no—
634C22—22no—
635C22—41no—
636C22—41no—
637C22—41no—
638C22—41no—
639C22—81no—
640C22—81no—
641C22—81no—
642C22—81no—
643C22—81no—
644C22—81no—
645C22—81no—
646C22C3×#52511yescharacteristic
647C22C3×D4211yescharacteristic
648C22C3×#54711yescharacteristic
649C22C2×C3×#13711yescharacteristic
650C22C3×#57511yescharacteristic
651C22C3×#57611yescharacteristic
652C22C3×#57711yescharacteristic
653C4—41no—
654C4—42no—
655C4—41no—
656C4—42no—
657C4—41no—
658C4—42no—
659C4—41no—
660C4—41no—
661C4—42no—
662C4—81no—
663C4—81no—
664C4—81no—
665C4C3×#53211yescharacteristic
666C4C3×#54211yescharacteristic
667C4C3×#54811yescharacteristic
668C4C3×#55111yescharacteristic
669C3#2680611yescharacteristic, direct product factor, Sylow
670C2—42no—
671C2—161no—
672C2C3×#246111yescharacteristic
673C2C3×#311711yescharacteristic
674C2C3×#311911yescharacteristic
675C2C3×#326611yescharacteristic
676C2C3×#326811yescharacteristic
677C2C3×#334611yescharacteristic
678C2C3×#335111yescharacteristic
subgroupG/H
center, socleC23×C3C22×D4
commutator, Frattini, cosocleC22×C4C24×C3
prime radicalC2×C3×#121C22
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23×C3 ◁ C3×C4×C22⋊C4 ◁ G

Complements

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

NH ≅ G/Ntype
2. C2×C3×#479C2semidirect
4. C3×#2360C2semidirect
5. C3×#2067C2semidirect
6. C3×#2059C2semidirect
7. C3×#2036C2semidirect
9. C3×#1973C2semidirect
10. C3×#1927C2semidirect
11. C3×#1925C2semidirect
12. C3×#1924C2semidirect
13. C3×#1880C2semidirect
14. C3×#1852C2semidirect
15. C3×#1776C2semidirect
16. #26806C3direct (N × H)
63. C2×#479C2×C3semidirect
65. #2360C2×C3semidirect
66. #2067C2×C3semidirect
67. #2059C2×C3semidirect
68. #2036C2×C3semidirect
70. #1973C2×C3semidirect
71. #1927C2×C3semidirect
72. #1925C2×C3semidirect
73. #1924C2×C3semidirect
74. #1880C2×C3semidirect
75. #1852C2×C3semidirect
76. #1776C2×C3semidirect
669. C3#26806direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C3×#4812
C2×C3×#4792
C3×#24902
C3×#23602
C3×#20672
C3×#20592
C3×#20362
C3×#20002
C3×#19732
C3×#19272
C3×#19252
C3×#19242
C3×#18802
C3×#18522
C3×#17762
#268063