Finite Group Databasebeta

← C3×#29342 #10647949

Subgroups — C3×#29342 #10647949

Order 768.

772 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
1C3×#2620C211yesmaximal, characteristic
2C3×#2316C211yesmaximal, characteristic, complemented
3C3×#2100C211yesmaximal, characteristic, complemented
4C3×#2099C211yesmaximal, characteristic, complemented
5C3×#2042C211yesmaximal, characteristic, complemented
6C3×#2042C211yesmaximal, characteristic, complemented
7C3×#1936C211yesmaximal, characteristic, complemented
8C3×#1935C211yesmaximal, characteristic, complemented
9C3×#1934C211yesmaximal, characteristic, complemented
10C3×#1933C211yesmaximal, characteristic, complemented
11C3×#1875C211yesmaximal, characteristic
12C3×#1874C211yesmaximal, characteristic
13C3×#1873C211yesmaximal, characteristic, complemented
14C3×#1872C211yesmaximal, characteristic, complemented
15C3×#1750C211yesmaximal, characteristic, complemented
16#29342C311yesmaximal, 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
23C2×C3×#103C2211yescharacteristic
24C2×C3×#103C2211yescharacteristic
25C2×C3×#103C2211yescharacteristic
26C2×C3×#103C2211yescharacteristic
27C2×C3×#102C2211yescharacteristic
28C2×C3×#102C2211yescharacteristic
29C2×C3×#102C2211yescharacteristic
30C2×C3×#102C2211yescharacteristic
31C2×C3×C22⋊C8C2211yescharacteristic
32C2×C3×C22⋊C8C2211yescharacteristic
33C2×C3×#97C2211yescharacteristic
34C2×C3×C4×C8C2211yescharacteristic
35C3×#396—21no—
36C3×#396—21no—
37C3×#394—21no—
38C3×#394—21no—
39C3×#391C2211yescharacteristic
40C3×#390C2211yescharacteristic
41C3×#389—21no—
42C3×#389—21no—
43C3×#389C2211yescharacteristic
44C3×#389C2211yescharacteristic
45C3×#389C2211yescharacteristic
46C3×#389C2211yescharacteristic
47C3×#384C2211yescharacteristic
48C3×#380—21no—
49C3×#380—21no—
50C3×#340C2211yescharacteristic
51C3×#340C2211yescharacteristic
52C3×#340C2211yescharacteristic
53C3×#340C2211yescharacteristic
54C3×#340C2211yescharacteristic
55C3×#340C2211yescharacteristic
56C3×#340C2211yescharacteristic
57C3×#340C2211yescharacteristic
58C3×#336C2211yescharacteristic
59C3×#336C2211yescharacteristic
60#2620C2×C311yescharacteristic
61#2316C2×C311yescharacteristic, complemented
62#2100C2×C311yescharacteristic, complemented
63#2099C2×C311yescharacteristic, complemented
64#2042C2×C311yescharacteristic, complemented
65#2042C2×C311yescharacteristic, complemented
66#1936C2×C311yescharacteristic, complemented
67#1935C2×C311yescharacteristic, complemented
68#1934C2×C311yescharacteristic, complemented
69#1933C2×C311yescharacteristic, complemented
70#1875C2×C311yescharacteristic
71#1874C2×C311yescharacteristic
72#1873C2×C311yescharacteristic, complemented
73#1872C2×C311yescharacteristic, complemented
74#1750C2×C311yescharacteristic, complemented
75C22×C3×Q8C2311yescharacteristic
76C22×C3×D4—21no—
77C22×C3×D4C2311yescharacteristic
78C23×C3×C4—21no—
79C23×C3×C4C2311yescharacteristic
80C22×C3×C8C2311yescharacteristic
81C22×C3×C8C2311yescharacteristic
82C22×C3×C8C2311yescharacteristic
83C22×C3×C8C2311yescharacteristic
84C3×#124—41no—
85C3×#124—41no—
86C3×C22⋊Q8—22no—
87C3×C22⋊Q8—22no—
88C3×#121—22no—
89C3×#121—22no—
90C3×#117—41no—
91C3×#117—41no—
92C3×#117—41no—
93C3×#117—41no—
94C2×C3×C4⋊C4—21no—
95C2×C3×C4⋊C4—22no—
96C2×C3×C4⋊C4—22no—
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⋊C4D411yescharacteristic
105C2×C3×C4⋊C4D411yescharacteristic
106C2×C3×C4⋊C4C2311yescharacteristic
107C2×C3×C4⋊C4C2311yescharacteristic
108C2×C3×C4⋊C4C2311yescharacteristic
109C2×C3×C4⋊C4C2311yescharacteristic
110C2×C3×C4⋊C4C2311yescharacteristic
111C2×C3×C4⋊C4C2311yescharacteristic
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⋊C4—21no—
119C2×C3×C22⋊C4D411yescharacteristic
120C2×C3×C22⋊C4D411yescharacteristic
121C2×C3×C42—21no—
122C2×C3×C42C2311yescharacteristic
123C2×C3×C42C2311yescharacteristic
124C3×#103—22no—
125C3×#103—22no—
126C3×#103—41no—
127C3×#103—41no—
128C3×#102—22no—
129C3×#102—22no—
130C3×#102—41no—
131C3×#102—41no—
132C3×C22⋊C8—22no—
133C3×C22⋊C8—22no—
134C3×#97—41no—
135C3×C4×C8—41no—
136C3×#95—21no—
137C3×#95—21no—
138C3×#95—21no—
139C3×#95—21no—
140C3×#95—21no—
141C3×#95—21no—
142C2×#124C22×C311yescharacteristic
143C2×C22⋊Q8C22×C311yescharacteristic
144C2×#121C22×C311yescharacteristic
145C2×#117C22×C311yescharacteristic
146C2×#117C22×C311yescharacteristic
147C22×C4⋊C4C22×C311yescharacteristic
148C2×#103C22×C311yescharacteristic
149C2×#103C22×C311yescharacteristic
150C2×#103C22×C311yescharacteristic
151C2×#103C22×C311yescharacteristic
152C2×#102C22×C311yescharacteristic
153C2×#102C22×C311yescharacteristic
154C2×#102C22×C311yescharacteristic
155C2×#102C22×C311yescharacteristic
156C2×C22⋊C8C22×C311yescharacteristic
157C2×C22⋊C8C22×C311yescharacteristic
158C2×#97C22×C311yescharacteristic
159C2×C4×C8C22×C311yescharacteristic
160#396—21no—
161#396—21no—
162#394—21no—
163#394—21no—
164#391C22×C311yescharacteristic
165#390C22×C311yescharacteristic
166#389—21no—
167#389—21no—
168#389C22×C311yescharacteristic
169#389C22×C311yescharacteristic
170#389C22×C311yescharacteristic
171#389C22×C311yescharacteristic
172#384C22×C311yescharacteristic
173#380—21no—
174#380—21no—
175#340C22×C311yescharacteristic
176#340C22×C311yescharacteristic
177#340C22×C311yescharacteristic
178#340C22×C311yescharacteristic
179#340C22×C311yescharacteristic
180#340C22×C311yescharacteristic
181#340C22×C311yescharacteristic
182#340C22×C311yescharacteristic
183#336C22×C311yescharacteristic
184#336C22×C311yescharacteristic
185C24×C3—21no—
186C24×C3C2×D411yescharacteristic
187C2×C3×Q8—21no—
188C2×C3×Q8—21no—
189C2×C3×Q8—21no—
190C2×C3×Q8—21no—
191C2×C3×Q8—21no—
192C2×C3×Q8—21no—
193C2×C3×D4—21no—
194C2×C3×D4—21no—
195C2×C3×D4—21no—
196C2×C3×D4—21no—
197C2×C3×D4—21no—
198C2×C3×D4—21no—
199C2×C3×D4—42no—
200C2×C3×D4—81no—
201C2×C3×D4—81no—
202C22×C3×C4—21no—
203C22×C3×C4—21no—
204C22×C3×C4—21no—
205C22×C3×C4—21no—
206C22×C3×C4—21no—
207C22×C3×C4—21no—
208C22×C3×C4—24no—
209C22×C3×C4—21no—
210C22×C3×C4—21no—
211C22×C3×C4—21no—
212C22×C3×C4—21no—
213C22×C3×C4—21no—
214C22×C3×C4—81no—
215C22×C3×C4—81no—
216C22×C3×C4C2×D411yescharacteristic
217C22×C3×C4C2×D411yescharacteristic
218C22×C3×C4C2×D411yescharacteristic
219C22×C3×C4C2×D411yescharacteristic
220C22×C3×C4C2×D411yescharacteristic
221C22×C3×C4#4112yes—
222C22×C3×C4#4112yes—
223C22×C3×C4C2411yescharacteristic
224C2×C3×C8—21no—
225C2×C3×C8—21no—
226C2×C3×C8—21no—
227C2×C3×C8—21no—
228C2×C3×C8—21no—
229C2×C3×C8—21no—
230C2×C3×C8—21no—
231C2×C3×C8—21no—
232C2×C3×C8—21no—
233C2×C3×C8—21no—
234C2×C3×C8—21no—
235C2×C3×C8—21no—
236C3×C4⋊C4—24no—
237C3×C4⋊C4—21no—
238C3×C4⋊C4—21no—
239C3×C4⋊C4—21no—
240C3×C4⋊C4—21no—
241C3×C4⋊C4—21no—
242C3×C4⋊C4—21no—
243C3×C4⋊C4—21no—
244C3×C4⋊C4—21no—
245C3×C4⋊C4—21no—
246C3×C4⋊C4—21no—
247C3×C4⋊C4—41no—
248C3×C4⋊C4—41no—
249C3×C4⋊C4—42no—
250C3×C4⋊C4—81no—
251C3×C4⋊C4—81no—
252C3×C4⋊C4—81no—
253C3×C4⋊C4—81no—
254C3×C4⋊C4—81no—
255C3×C4⋊C4—81no—
256C3×C4⋊C4#4112yes—
257C3×C4⋊C4#4112yes—
258C3×C22⋊C4—41no—
259C3×C22⋊C4—41no—
260C3×C22⋊C4—42no—
261C3×C22⋊C4—42no—
262C3×C22⋊C4—42no—
263C3×C22⋊C4—42no—
264C3×C22⋊C4—42no—
265C3×C22⋊C4—81no—
266C3×C22⋊C4—81no—
267C3×C42—21no—
268C3×C42—21no—
269C3×C42—21no—
270C3×C42—21no—
271C3×C42—42no—
272C22×Q8C23×C311yescharacteristic
273C22×D4—21no—
274C22×D4C23×C311yescharacteristic
275C23×C4—21no—
276C23×C4C23×C311yescharacteristic
277C22×C8C23×C311yescharacteristic
278C22×C8C23×C311yescharacteristic
279C22×C8C23×C311yescharacteristic
280C22×C8C23×C311yescharacteristic
281#124—41no—
282#124—41no—
283C22⋊Q8—22no—
284C22⋊Q8—22no—
285#121—22no—
286#121—22no—
287#117—41no—
288#117—41no—
289#117—41no—
290#117—41no—
291C2×C4⋊C4—21no—
292C2×C4⋊C4—22no—
293C2×C4⋊C4—22no—
294C2×C4⋊C4—21no—
295C2×C4⋊C4—21no—
296C2×C4⋊C4—21no—
297C2×C4⋊C4—21no—
298C2×C4⋊C4—21no—
299C2×C4⋊C4—21no—
300C2×C4⋊C4—21no—
301C2×C4⋊C4C3×D411yescharacteristic
302C2×C4⋊C4C3×D411yescharacteristic
303C2×C4⋊C4C23×C311yescharacteristic
304C2×C4⋊C4C23×C311yescharacteristic
305C2×C4⋊C4C23×C311yescharacteristic
306C2×C4⋊C4C23×C311yescharacteristic
307C2×C4⋊C4C23×C311yescharacteristic
308C2×C4⋊C4C23×C311yescharacteristic
309C2×C22⋊C4—21no—
310C2×C22⋊C4—21no—
311C2×C22⋊C4—21no—
312C2×C22⋊C4—21no—
313C2×C22⋊C4—21no—
314C2×C22⋊C4—21no—
315C2×C22⋊C4—21no—
316C2×C22⋊C4C3×D411yescharacteristic
317C2×C22⋊C4C3×D411yescharacteristic
318C2×C42—21no—
319C2×C42C23×C311yescharacteristic
320C2×C42C23×C311yescharacteristic
321#103—22no—
322#103—22no—
323#103—41no—
324#103—41no—
325#102—22no—
326#102—22no—
327#102—41no—
328#102—41no—
329C22⋊C8—22no—
330C22⋊C8—22no—
331#97—41no—
332C4×C8—41no—
333#95—21no—
334#95—21no—
335#95—21no—
336#95—21no—
337#95—21no—
338#95—21no—
339C23×C3—21no—
340C23×C3—21no—
341C23×C3—21no—
342C23×C3—21no—
343C23×C3—21no—
344C23×C3—21no—
345C23×C3—41no—
346C23×C3—41no—
347C23×C3—41no—
348C23×C3—41no—
349C23×C3—41no—
350C23×C3—41no—
351C23×C3—41no—
352C23×C3#12412yes—
353C23×C3C22×D411yescharacteristic
354C3×Q8—41no—
355C3×Q8—41no—
356C3×Q8—41no—
357C3×Q8—41no—
358C3×D4—41no—
359C3×D4—41no—
360C3×D4—41no—
361C3×D4—41no—
362C3×D4—84no—
363C2×C3×C4—21no—
364C2×C3×C4—21no—
365C2×C3×C4—22no—
366C2×C3×C4—22no—
367C2×C3×C4—22no—
368C2×C3×C4—22no—
369C2×C3×C4—22no—
370C2×C3×C4—22no—
371C2×C3×C4—21no—
372C2×C3×C4—21no—
373C2×C3×C4—21no—
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—41no—
384C2×C3×C4—41no—
385C2×C3×C4—41no—
386C2×C3×C4—41no—
387C2×C3×C4—41no—
388C2×C3×C4—41no—
389C2×C3×C4—41no—
390C2×C3×C4—41no—
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—84no—
403C2×C3×C4#12412yes—
404C2×C3×C4C2×#4111yescharacteristic
405C2×C3×C4C2×#4111yescharacteristic
406C2×C3×C4C2×#4111yescharacteristic
407C2×C3×C4C2×#4111yescharacteristic
408C2×C3×C4H(5,𝔽2)11yescharacteristic
409C2×C3×C4H(5,𝔽2)11yescharacteristic
410C3×C8—41no—
411C3×C8—41no—
412C3×C8—41no—
413C3×C8—41no—
414C24—21no—
415C24C2×C3×D411yescharacteristic
416C2×Q8—21no—
417C2×Q8—21no—
418C2×Q8—21no—
419C2×Q8—21no—
420C2×Q8—21no—
421C2×Q8—21no—
422C2×D4—21no—
423C2×D4—21no—
424C2×D4—21no—
425C2×D4—21no—
426C2×D4—21no—
427C2×D4—21no—
428C2×D4—42no—
429C2×D4—81no—
430C2×D4—81no—
431C22×C4—21no—
432C22×C4—21no—
433C22×C4—21no—
434C22×C4—21no—
435C22×C4—21no—
436C22×C4—21no—
437C22×C4—24no—
438C22×C4—21no—
439C22×C4—21no—
440C22×C4—21no—
441C22×C4—21no—
442C22×C4—21no—
443C22×C4—81no—
444C22×C4—81no—
445C22×C4C2×C3×D411yescharacteristic
446C22×C4C2×C3×D411yescharacteristic
447C22×C4C2×C3×D411yescharacteristic
448C22×C4C2×C3×D411yescharacteristic
449C22×C4C2×C3×D411yescharacteristic
450C22×C4C3×#4112yes—
451C22×C4C3×#4112yes—
452C22×C4C24×C311yescharacteristic
453C2×C8—21no—
454C2×C8—21no—
455C2×C8—21no—
456C2×C8—21no—
457C2×C8—21no—
458C2×C8—21no—
459C2×C8—21no—
460C2×C8—21no—
461C2×C8—21no—
462C2×C8—21no—
463C2×C8—21no—
464C2×C8—21no—
465C4⋊C4—24no—
466C4⋊C4—21no—
467C4⋊C4—21no—
468C4⋊C4—21no—
469C4⋊C4—21no—
470C4⋊C4—21no—
471C4⋊C4—21no—
472C4⋊C4—21no—
473C4⋊C4—21no—
474C4⋊C4—21no—
475C4⋊C4—21no—
476C4⋊C4—41no—
477C4⋊C4—41no—
478C4⋊C4—42no—
479C4⋊C4—81no—
480C4⋊C4—81no—
481C4⋊C4—81no—
482C4⋊C4—81no—
483C4⋊C4—81no—
484C4⋊C4—81no—
485C4⋊C4C3×#4112yes—
486C4⋊C4C3×#4112yes—
487C22⋊C4—41no—
488C22⋊C4—41no—
489C22⋊C4—42no—
490C22⋊C4—42no—
491C22⋊C4—42no—
492C22⋊C4—42no—
493C22⋊C4—42no—
494C22⋊C4—81no—
495C22⋊C4—81no—
496C42—21no—
497C42—21no—
498C42—21no—
499C42—21no—
500C42—42no—
501C22×C3—22no—
502C22×C3—22no—
503C22×C3—22no—
504C22×C3—41no—
505C22×C3—41no—
506C22×C3—41no—
507C22×C3—41no—
508C22×C3—81no—
509C22×C3—81no—
510C22×C3—81no—
511C22×C3—81no—
512C22×C3—81no—
513C22×C3—81no—
514C22×C3—81no—
515C22×C3#52511yescharacteristic
516C22×C3C2×#12411yescharacteristic
517C22×C3#53411yescharacteristic
518C22×C3#57611yescharacteristic
519C22×C3#57711yescharacteristic
520C22×C3#57711yescharacteristic
521C22×C3#57811yescharacteristic
522C3×C4—22no—
523C3×C4—42no—
524C3×C4—42no—
525C3×C4—41no—
526C3×C4—41no—
527C3×C4—41no—
528C3×C4—41no—
529C3×C4—81no—
530C3×C4—81no—
531C3×C4—81no—
532C3×C4—81no—
533C3×C4—81no—
534C3×C4#55311yescharacteristic
535C3×C4#55311yescharacteristic
536C3×C4#55311yescharacteristic
537C3×C4#55311yescharacteristic
538C23—21no—
539C23—21no—
540C23—21no—
541C23—21no—
542C23—21no—
543C23—21no—
544C23—41no—
545C23—41no—
546C23—41no—
547C23—41no—
548C23—41no—
549C23—41no—
550C23—41no—
551C23C3×#12412yes—
552C23C22×C3×D411yescharacteristic
553Q8—41no—
554Q8—41no—
555Q8—41no—
556Q8—41no—
557D4—41no—
558D4—41no—
559D4—41no—
560D4—41no—
561D4—84no—
562C2×C4—21no—
563C2×C4—21no—
564C2×C4—22no—
565C2×C4—22no—
566C2×C4—22no—
567C2×C4—22no—
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—21no—
579C2×C4—21no—
580C2×C4—21no—
581C2×C4—21no—
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×C4—41no—
598C2×C4—41no—
599C2×C4—41no—
600C2×C4—41no—
601C2×C4—84no—
602C2×C4C3×#12412yes—
603C2×C4C2×C3×#4111yescharacteristic
604C2×C4C2×C3×#4111yescharacteristic
605C2×C4C2×C3×#4111yescharacteristic
606C2×C4C2×C3×#4111yescharacteristic
607C2×C4C3×H(5,𝔽2)11yescharacteristic
608C2×C4C3×H(5,𝔽2)11yescharacteristic
609C8—41no—
610C8—41no—
611C8—41no—
612C8—41no—
613C2×C3—42no—
614C2×C3—161no—
615C2×C3#259111yescharacteristic
616C2×C3#311811yescharacteristic
617C2×C3#312111yescharacteristic
618C2×C3#313611yescharacteristic
619C2×C3#313711yescharacteristic
620C2×C3#320311yescharacteristic
621C2×C3#320411yescharacteristic
622C22—22no—
623C22—22no—
624C22—22no—
625C22—41no—
626C22—41no—
627C22—41no—
628C22—41no—
629C22—81no—
630C22—81no—
631C22—81no—
632C22—81no—
633C22—81no—
634C22—81no—
635C22—81no—
636C22C3×#52511yescharacteristic
637C22C2×C3×#12411yescharacteristic
638C22C3×#53411yescharacteristic
639C22C3×#57611yescharacteristic
640C22C3×#57711yescharacteristic
641C22C3×#57711yescharacteristic
642C22C3×#57811yescharacteristic
643C4—22no—
644C4—41no—
645C4—41no—
646C4—41no—
647C4—41no—
648C4—42no—
649C4—42no—
650C4—81no—
651C4—81no—
652C4—81no—
653C4—81no—
654C4—81no—
655C4C3×#55311yescharacteristic
656C4C3×#55311yescharacteristic
657C4C3×#55311yescharacteristic
658C4C3×#55311yescharacteristic
659C3#2934211yescharacteristic, direct product factor, Sylow
660C2—42no—
661C2—161no—
662C2C3×#259111yescharacteristic
663C2C3×#311811yescharacteristic
664C2C3×#312111yescharacteristic
665C2C3×#313611yescharacteristic
666C2C3×#313711yescharacteristic
667C2C3×#320311yescharacteristic
668C2C3×#320411yescharacteristic
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
2. C3×#2316C2semidirect
3. C3×#2100C2semidirect
4. C3×#2099C2semidirect
5. C3×#2042C2semidirect
6. C3×#2042C2semidirect
7. C3×#1936C2semidirect
8. C3×#1935C2semidirect
9. C3×#1934C2semidirect
10. C3×#1933C2semidirect
13. C3×#1873C2semidirect
14. C3×#1872C2semidirect
15. C3×#1750C2semidirect
16. #29342C3direct (N × H)
61. #2316C2×C3semidirect
62. #2100C2×C3semidirect
63. #2099C2×C3semidirect
64. #2042C2×C3semidirect
65. #2042C2×C3semidirect
66. #1936C2×C3semidirect
67. #1935C2×C3semidirect
68. #1934C2×C3semidirect
69. #1933C2×C3semidirect
72. #1873C2×C3semidirect
73. #1872C2×C3semidirect
74. #1750C2×C3semidirect
659. C3#29342direct (N × H)

Maximal subgroups

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

subgroupindex
C3×#26202
C3×#23162
C3×#21002
C3×#20992
C3×#20422
C3×#19362
C3×#19352
C3×#19342
C3×#19332
C3×#18752
C3×#18742
C3×#18732
C3×#18722
C3×#17502
#293423