Finite Group Databasebeta

← C3×#29564 #10648171

Subgroups — C3×#29564 #10648171

Order 768.

804 conjugacy classes of subgroups.

The subgroup lattice has 700 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C3×#2641C211yesmaximal, characteristic, complemented
2C3×#2319C211yesmaximal, characteristic, complemented
3C3×#2059C211yesmaximal, characteristic, complemented
4C3×#2041C211yesmaximal, characteristic, complemented
5C3×#2025C211yesmaximal, characteristic, complemented
6C3×#2011C211yesmaximal, characteristic
7C3×#1972C211yesmaximal, characteristic, complemented
8C3×#1970C211yesmaximal, characteristic, complemented
9C3×#1936C211yesmaximal, characteristic, complemented
10C3×#1934C211yesmaximal, characteristic, complemented
11C3×#1926C211yesmaximal, characteristic, complemented
12C3×#1925C211yesmaximal, characteristic, complemented
13C3×#1879C211yesmaximal, characteristic, complemented
14C3×#1879C211yesmaximal, characteristic, complemented
15C3×#1746C211yesmaximal, characteristic, complemented
16#29564C311yesmaximal, characteristic, direct product factor, Sylow
17C22×C3×D8C2211yescharacteristic
18C22×C3×D8C2211yescharacteristic
19C2×C3×#127C2211yescharacteristic
20C2×C3×#125C2211yescharacteristic
21C2×C3×C4×D4C2211yescharacteristic
22C2×C3×#107C2211yescharacteristic
23C2×C3×#106C2211yescharacteristic
24C2×C3×#102C2211yescharacteristic
25C2×C3×#102C2211yescharacteristic
26C2×C3×#102C2211yescharacteristic
27C2×C3×#102C2211yescharacteristic
28C2×C3×#102C2211yescharacteristic
29C2×C3×#102C2211yescharacteristic
30C2×C3×#102C2211yescharacteristic
31C2×C3×#102C2211yescharacteristic
32C2×C3×#97C2211yescharacteristic
33C2×C3×C4×C8C2211yescharacteristic
34C3×#394—21no—
35C3×#394—21no—
36C3×#394—21no—
37C3×#394—21no—
38C3×#390C2211yescharacteristic
39C3×#390C2211yescharacteristic
40C3×#390C2211yescharacteristic
41C3×#390C2211yescharacteristic
42C3×#390C2211yescharacteristic
43C3×#390C2211yescharacteristic
44C3×#389C2211yescharacteristic
45C3×#389C2211yescharacteristic
46C3×#388—21no—
47C3×#388—21no—
48C3×#381—21no—
49C3×#380—21no—
50C3×C4×C4⋊C4C2211yescharacteristic
51C3×#376C2211yescharacteristic
52C3×#340C2211yescharacteristic
53C3×#340C2211yescharacteristic
54C3×#340C2211yescharacteristic
55C3×#340C2211yescharacteristic
56C3×#336C2211yescharacteristic
57C3×#336C2211yescharacteristic
58C3×#336C2211yescharacteristic
59C3×#336C2211yescharacteristic
60#2641C2×C311yescharacteristic, complemented
61#2319C2×C311yescharacteristic, complemented
62#2059C2×C311yescharacteristic, complemented
63#2041C2×C311yescharacteristic, complemented
64#2025C2×C311yescharacteristic, complemented
65#2011C2×C311yescharacteristic
66#1972C2×C311yescharacteristic, complemented
67#1970C2×C311yescharacteristic, complemented
68#1936C2×C311yescharacteristic, complemented
69#1934C2×C311yescharacteristic, complemented
70#1926C2×C311yescharacteristic, complemented
71#1925C2×C311yescharacteristic, complemented
72#1879C2×C311yescharacteristic, complemented
73#1879C2×C311yescharacteristic, complemented
74#1746C2×C311yescharacteristic, complemented
75C22×C3×D4—21no—
76C22×C3×D4—21no—
77C22×C3×D4C2311yescharacteristic
78C22×C3×D4C2311yescharacteristic
79C22×C3×D4C2311yescharacteristic
80C23×C3×C4—21no—
81C2×C3×D8—22no—
82C2×C3×D8—22no—
83C2×C3×D8—22no—
84C2×C3×D8—22no—
85C2×C3×D8—41no—
86C2×C3×D8—41no—
87C22×C3×C8C2311yescharacteristic
88C22×C3×C8C2311yescharacteristic
89C22×C3×C8C2311yescharacteristic
90C22×C3×C8C2311yescharacteristic
91C3×#127—41no—
92C3×#127—41no—
93C3×#125—41no—
94C3×#125—41no—
95C3×C4×D4—22no—
96C3×C4×D4—22no—
97C2×C3×C4⋊C4—21no—
98C2×C3×C4⋊C4—21no—
99C2×C3×C4⋊C4—21no—
100C2×C3×C4⋊C4—21no—
101C2×C3×C4⋊C4C2311yescharacteristic
102C2×C3×C4⋊C4C2311yescharacteristic
103C2×C3×C4⋊C4C2311yescharacteristic
104C2×C3×C4⋊C4C2311yescharacteristic
105C2×C3×C4⋊C4C2311yescharacteristic
106C2×C3×C22⋊C4—21no—
107C2×C3×C22⋊C4—21no—
108C2×C3×C22⋊C4—21no—
109C2×C3×C22⋊C4—21no—
110C2×C3×C22⋊C4—21no—
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⋊C4—21no—
119C2×C3×C42—21no—
120C2×C3×C42C2311yescharacteristic
121C2×C3×C42C2311yescharacteristic
122C2×C3×C42C2311yescharacteristic
123C3×#107—41no—
124C3×#106—41no—
125C3×#102—22no—
126C3×#102—22no—
127C3×#102—22no—
128C3×#102—22no—
129C3×#102—41no—
130C3×#102—41no—
131C3×#102—41no—
132C3×#102—41no—
133C3×#97—22no—
134C3×C4×C8—22no—
135C3×#95—21no—
136C3×#95—21no—
137C3×#95—21no—
138C3×#95D411yescharacteristic
139C3×#95D411yescharacteristic
140C3×#95D411yescharacteristic
141C3×#95D411yescharacteristic
142C22×D8C22×C311yescharacteristic
143C22×D8C22×C311yescharacteristic
144C2×#127C22×C311yescharacteristic
145C2×#125C22×C311yescharacteristic
146C2×C4×D4C22×C311yescharacteristic
147C2×#107C22×C311yescharacteristic
148C2×#106C22×C311yescharacteristic
149C2×#102C22×C311yescharacteristic
150C2×#102C22×C311yescharacteristic
151C2×#102C22×C311yescharacteristic
152C2×#102C22×C311yescharacteristic
153C2×#102C22×C311yescharacteristic
154C2×#102C22×C311yescharacteristic
155C2×#102C22×C311yescharacteristic
156C2×#102C22×C311yescharacteristic
157C2×#97C22×C311yescharacteristic
158C2×C4×C8C22×C311yescharacteristic
159#394—21no—
160#394—21no—
161#394—21no—
162#394—21no—
163#390C22×C311yescharacteristic
164#390C22×C311yescharacteristic
165#390C22×C311yescharacteristic
166#390C22×C311yescharacteristic
167#390C22×C311yescharacteristic
168#390C22×C311yescharacteristic
169#389C22×C311yescharacteristic
170#389C22×C311yescharacteristic
171#388—21no—
172#388—21no—
173#381—21no—
174#380—21no—
175C4×C4⋊C4C22×C311yescharacteristic
176#376C22×C311yescharacteristic
177#340C22×C311yescharacteristic
178#340C22×C311yescharacteristic
179#340C22×C311yescharacteristic
180#340C22×C311yescharacteristic
181#336C22×C311yescharacteristic
182#336C22×C311yescharacteristic
183#336C22×C311yescharacteristic
184#336C22×C311yescharacteristic
185C24×C3—21no—
186C24×C3—21no—
187C24×C3—21no—
188C2×C3×D4—21no—
189C2×C3×D4—21no—
190C2×C3×D4—21no—
191C2×C3×D4—21no—
192C2×C3×D4—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—21no—
200C2×C3×D4—21no—
201C2×C3×D4—21no—
202C2×C3×D4—21no—
203C2×C3×D4—21no—
204C2×C3×D4—21no—
205C2×C3×D4—42no—
206C2×C3×D4—42no—
207C2×C3×D4—81no—
208C2×C3×D4—81no—
209C2×C3×D4—81no—
210C2×C3×D4—81no—
211C2×C3×D4#4112yes—
212C22×C3×C4—21no—
213C22×C3×C4—24no—
214C22×C3×C4—21no—
215C22×C3×C4—21no—
216C22×C3×C4—21no—
217C22×C3×C4—21no—
218C22×C3×C4—81no—
219C22×C3×C4—81no—
220C22×C3×C4C2×D411yescharacteristic
221C22×C3×C4C2×D411yescharacteristic
222C22×C3×C4C2×D411yescharacteristic
223C22×C3×C4C2×D411yescharacteristic
224C22×C3×C4C2×D411yescharacteristic
225C22×C3×C4C2×D411yescharacteristic
226C22×C3×C4C2411yescharacteristic
227C3×D8—44no—
228C3×D8—44no—
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—
236C2×C3×C8—21no—
237C2×C3×C8—21no—
238C2×C3×C8—21no—
239C2×C3×C8#4112yes—
240C2×C3×C8#4112yes—
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—21no—
248C3×C4⋊C4—21no—
249C3×C4⋊C4—21no—
250C3×C4⋊C4—42no—
251C3×C4⋊C4—42no—
252C3×C4⋊C4—81no—
253C3×C4⋊C4—81no—
254C3×C4⋊C4#4112yes—
255C3×C22⋊C4—24no—
256C3×C22⋊C4—81no—
257C3×C22⋊C4—81no—
258C3×C22⋊C4—81no—
259C3×C22⋊C4—81no—
260C3×C22⋊C4—81no—
261C3×C22⋊C4—81no—
262C3×C22⋊C4—81no—
263C3×C22⋊C4—81no—
264C3×C22⋊C4—81no—
265C3×C22⋊C4—81no—
266C3×C22⋊C4—81no—
267C3×C22⋊C4—81no—
268C3×C42—21no—
269C3×C42—21no—
270C3×C42—21no—
271C3×C42—21no—
272C3×C42—21no—
273C3×C42—21no—
274C3×C42—81no—
275C22×D4—21no—
276C22×D4—21no—
277C22×D4C23×C311yescharacteristic
278C22×D4C23×C311yescharacteristic
279C22×D4C23×C311yescharacteristic
280C23×C4—21no—
281C2×D8—22no—
282C2×D8—22no—
283C2×D8—22no—
284C2×D8—22no—
285C2×D8—41no—
286C2×D8—41no—
287C22×C8C23×C311yescharacteristic
288C22×C8C23×C311yescharacteristic
289C22×C8C23×C311yescharacteristic
290C22×C8C23×C311yescharacteristic
291#127—41no—
292#127—41no—
293#125—41no—
294#125—41no—
295C4×D4—22no—
296C4×D4—22no—
297C2×C4⋊C4—21no—
298C2×C4⋊C4—21no—
299C2×C4⋊C4—21no—
300C2×C4⋊C4—21no—
301C2×C4⋊C4C23×C311yescharacteristic
302C2×C4⋊C4C23×C311yescharacteristic
303C2×C4⋊C4C23×C311yescharacteristic
304C2×C4⋊C4C23×C311yescharacteristic
305C2×C4⋊C4C23×C311yescharacteristic
306C2×C22⋊C4—21no—
307C2×C22⋊C4—21no—
308C2×C22⋊C4—21no—
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⋊C4—21no—
317C2×C22⋊C4—21no—
318C2×C22⋊C4—21no—
319C2×C42—21no—
320C2×C42C23×C311yescharacteristic
321C2×C42C23×C311yescharacteristic
322C2×C42C23×C311yescharacteristic
323#107—41no—
324#106—41no—
325#102—22no—
326#102—22no—
327#102—22no—
328#102—22no—
329#102—41no—
330#102—41no—
331#102—41no—
332#102—41no—
333#97—22no—
334C4×C8—22no—
335#95—21no—
336#95—21no—
337#95—21no—
338#95C3×D411yescharacteristic
339#95C3×D411yescharacteristic
340#95C3×D411yescharacteristic
341#95C3×D411yescharacteristic
342C23×C3—22no—
343C23×C3—41no—
344C23×C3—41no—
345C23×C3—41no—
346C23×C3—41no—
347C23×C3—41no—
348C23×C3—41no—
349C23×C3—41no—
350C23×C3—41no—
351C23×C3—41no—
352C23×C3—41no—
353C23×C3—41no—
354C23×C3—41no—
355C23×C3—41no—
356C23×C3—41no—
357C23×C3—41no—
358C23×C3—41no—
359C23×C3—41no—
360C23×C3—41no—
361C23×C3—41no—
362C23×C3—41no—
363C23×C3C22×D411yescharacteristic
364C3×D4—22no—
365C3×D4—22no—
366C3×D4—41no—
367C3×D4—41no—
368C3×D4—41no—
369C3×D4—41no—
370C3×D4—41no—
371C3×D4—41no—
372C3×D4—41no—
373C3×D4—41no—
374C3×D4—41no—
375C3×D4—41no—
376C3×D4—84no—
377C3×D4—84no—
378C2×C3×C4—21no—
379C2×C3×C4—21no—
380C2×C3×C4—22no—
381C2×C3×C4—21no—
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—21no—
394C2×C3×C4—21no—
395C2×C3×C4—21no—
396C2×C3×C4—21no—
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—84no—
412C2×C3×C4C2×#4111yescharacteristic
413C2×C3×C4C2×#4111yescharacteristic
414C2×C3×C4C2×#4111yescharacteristic
415C2×C3×C4C2×#4111yescharacteristic
416C2×C3×C4H(5,𝔽2)11yescharacteristic
417C2×C3×C4H(5,𝔽2)11yescharacteristic
418C3×C8—22no—
419C3×C8—22no—
420C3×C8—41no—
421C3×C8—41no—
422C24—21no—
423C24—21no—
424C24—21no—
425C2×D4—21no—
426C2×D4—21no—
427C2×D4—21no—
428C2×D4—21no—
429C2×D4—21no—
430C2×D4—21no—
431C2×D4—21no—
432C2×D4—21no—
433C2×D4—21no—
434C2×D4—21no—
435C2×D4—21no—
436C2×D4—21no—
437C2×D4—21no—
438C2×D4—21no—
439C2×D4—21no—
440C2×D4—21no—
441C2×D4—21no—
442C2×D4—42no—
443C2×D4—42no—
444C2×D4—81no—
445C2×D4—81no—
446C2×D4—81no—
447C2×D4—81no—
448C2×D4C3×#4112yes—
449C22×C4—21no—
450C22×C4—24no—
451C22×C4—21no—
452C22×C4—21no—
453C22×C4—21no—
454C22×C4—21no—
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×D411yescharacteristic
463C22×C4C24×C311yescharacteristic
464D8—44no—
465D8—44no—
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×C8C3×#4112yes—
477C2×C8C3×#4112yes—
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—81no—
490C4⋊C4—81no—
491C4⋊C4C3×#4112yes—
492C22⋊C4—24no—
493C22⋊C4—81no—
494C22⋊C4—81no—
495C22⋊C4—81no—
496C22⋊C4—81no—
497C22⋊C4—81no—
498C22⋊C4—81no—
499C22⋊C4—81no—
500C22⋊C4—81no—
501C22⋊C4—81no—
502C22⋊C4—81no—
503C22⋊C4—81no—
504C22⋊C4—81no—
505C42—21no—
506C42—21no—
507C42—21no—
508C42—21no—
509C42—21no—
510C42—21no—
511C42—81no—
512C22×C3—42no—
513C22×C3—42no—
514C22×C3—42no—
515C22×C3—81no—
516C22×C3—81no—
517C22×C3—81no—
518C22×C3—81no—
519C22×C3—81no—
520C22×C3—81no—
521C22×C3—81no—
522C22×C3—81no—
523C22×C3—81no—
524C22×C3—81no—
525C22×C3—81no—
526C22×C3—81no—
527C22×C3—81no—
528C22×C3—81no—
529C22×C3—81no—
530C22×C3—81no—
531C22×C3—81no—
532C22×C3—81no—
533C22×C3#52511yescharacteristic
534C22×C3#53211yescharacteristic
535C22×C3#53511yescharacteristic
536C22×C3#57611yescharacteristic
537C22×C3#57611yescharacteristic
538C22×C3#57611yescharacteristic
539C22×C3#57711yescharacteristic
540C3×C4—41no—
541C3×C4—41no—
542C3×C4—42no—
543C3×C4—41no—
544C3×C4—41no—
545C3×C4—41no—
546C3×C4—41no—
547C3×C4—81no—
548C3×C4—81no—
549C3×C4—81no—
550C3×C4—81no—
551C3×C4#55111yescharacteristic
552C3×C4#55111yescharacteristic
553C3×C4#55511yescharacteristic
554C3×C4#55511yescharacteristic
555C23—22no—
556C23—41no—
557C23—41no—
558C23—41no—
559C23—41no—
560C23—41no—
561C23—41no—
562C23—41no—
563C23—41no—
564C23—41no—
565C23—41no—
566C23—41no—
567C23—41no—
568C23—41no—
569C23—41no—
570C23—41no—
571C23—41no—
572C23—41no—
573C23—41no—
574C23—41no—
575C23—41no—
576C23C22×C3×D411yescharacteristic
577D4—22no—
578D4—22no—
579D4—41no—
580D4—41no—
581D4—41no—
582D4—41no—
583D4—41no—
584D4—41no—
585D4—41no—
586D4—41no—
587D4—41no—
588D4—41no—
589D4—84no—
590D4—84no—
591C2×C4—21no—
592C2×C4—21no—
593C2×C4—21no—
594C2×C4—21no—
595C2×C4—21no—
596C2×C4—21no—
597C2×C4—21no—
598C2×C4—21no—
599C2×C4—21no—
600C2×C4—21no—
601C2×C4—21no—
602C2×C4—21no—
603C2×C4—21no—
604C2×C4—21no—
605C2×C4—22no—
606C2×C4—21no—
607C2×C4—21no—
608C2×C4—21no—
609C2×C4—21no—
610C2×C4—41no—
611C2×C4—41no—
612C2×C4—41no—
613C2×C4—41no—
614C2×C4—41no—
615C2×C4—41no—
616C2×C4—41no—
617C2×C4—41no—
618C2×C4—41no—
619C2×C4—41no—
620C2×C4—41no—
621C2×C4—41no—
622C2×C4—41no—
623C2×C4—41no—
624C2×C4—84no—
625C2×C4C2×C3×#4111yescharacteristic
626C2×C4C2×C3×#4111yescharacteristic
627C2×C4C2×C3×#4111yescharacteristic
628C2×C4C2×C3×#4111yescharacteristic
629C2×C4C3×H(5,𝔽2)11yescharacteristic
630C2×C4C3×H(5,𝔽2)11yescharacteristic
631C8—22no—
632C8—22no—
633C8—41no—
634C8—41no—
635C2×C3—82no—
636C2×C3—161no—
637C2×C3—161no—
638C2×C3#261011yescharacteristic
639C2×C3#311911yescharacteristic
640C2×C3#312211yescharacteristic
641C2×C3#317611yescharacteristic
642C2×C3#317911yescharacteristic
643C2×C3#322011yescharacteristic
644C2×C3#322411yescharacteristic
645C22—42no—
646C22—42no—
647C22—42no—
648C22—81no—
649C22—81no—
650C22—81no—
651C22—81no—
652C22—81no—
653C22—81no—
654C22—81no—
655C22—81no—
656C22—81no—
657C22—81no—
658C22—81no—
659C22—81no—
660C22—81no—
661C22—81no—
662C22—81no—
663C22—81no—
664C22—81no—
665C22—81no—
666C22C3×#52511yescharacteristic
667C22C3×#53211yescharacteristic
668C22C3×#53511yescharacteristic
669C22C3×#57611yescharacteristic
670C22C3×#57611yescharacteristic
671C22C3×#57611yescharacteristic
672C22C3×#57711yescharacteristic
673C4—41no—
674C4—41no—
675C4—41no—
676C4—41no—
677C4—41no—
678C4—41no—
679C4—42no—
680C4—81no—
681C4—81no—
682C4—81no—
683C4—81no—
684C4C3×#55111yescharacteristic
685C4C3×#55111yescharacteristic
686C4C3×#55511yescharacteristic
687C4C3×#55511yescharacteristic
688C3#2956411yescharacteristic, direct product factor, Sylow
689C2—82no—
690C2—161no—
691C2—161no—
692C2C3×#261011yescharacteristic
693C2C3×#311911yescharacteristic
694C2C3×#312211yescharacteristic
695C2C3×#317611yescharacteristic
696C2C3×#317911yescharacteristic
697C2C3×#322011yescharacteristic
698C2C3×#322411yescharacteristic
subgroupG/H
center, socleC23×C3C22×D4
commutator, Frattini, cosocleC22×C4C24×C3
prime radicalC3×#2011C2
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23×C3 ◁ C3×#376 ◁ G

Complements

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

NH ≅ G/Ntype
1. C3×#2641C2semidirect
2. C3×#2319C2semidirect
3. C3×#2059C2semidirect
4. C3×#2041C2semidirect
5. C3×#2025C2semidirect
7. C3×#1972C2semidirect
8. C3×#1970C2semidirect
9. C3×#1936C2semidirect
10. C3×#1934C2semidirect
11. C3×#1926C2semidirect
12. C3×#1925C2semidirect
13. C3×#1879C2semidirect
14. C3×#1879C2semidirect
15. C3×#1746C2semidirect
16. #29564C3direct (N × H)
60. #2641C2×C3semidirect
61. #2319C2×C3semidirect
62. #2059C2×C3semidirect
63. #2041C2×C3semidirect
64. #2025C2×C3semidirect
66. #1972C2×C3semidirect
67. #1970C2×C3semidirect
68. #1936C2×C3semidirect
69. #1934C2×C3semidirect
70. #1926C2×C3semidirect
71. #1925C2×C3semidirect
72. #1879C2×C3semidirect
73. #1879C2×C3semidirect
74. #1746C2×C3semidirect
688. C3#29564direct (N × H)

Maximal subgroups

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

subgroupindex
C3×#26412
C3×#23192
C3×#20592
C3×#20412
C3×#20252
C3×#20112
C3×#19722
C3×#19702
C3×#19362
C3×#19342
C3×#19262
C3×#19252
C3×#18792
C3×#17462
#295643