Finite Group Databasebeta

← C3×#29175 #10647782

Subgroups — C3×#29175 #10647782

Order 768.

784 conjugacy classes of subgroups.

The subgroup lattice has 654 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C3×#2628C211yesmaximal, characteristic, complemented
2C3×#2324C211yesmaximal, characteristic
3C3×#2101C211yesmaximal, characteristic, complemented
4C3×#2092C211yesmaximal, characteristic, complemented
5C3×#2057C211yesmaximal, characteristic, complemented
6C3×#2023C211yesmaximal, characteristic, complemented
7C3×#1921C211yesmaximal, characteristic, complemented
8C3×#1920C211yesmaximal, characteristic, complemented
9C3×#1895C211yesmaximal, characteristic
10C3×#1893C211yesmaximal, characteristic
11C3×#1862C211yesmaximal, characteristic, complemented
12C3×#1862C211yesmaximal, characteristic, complemented
13C3×#1809C211yesmaximal, characteristic, complemented
14C3×#1808C211yesmaximal, characteristic, complemented
15C3×#1729C211yesmaximal, characteristic, complemented
16#29175C311yesmaximal, characteristic, direct product factor, Sylow
17C22×C3×M16C2211yescharacteristic
18C23×C3×C8C2211yescharacteristic
19C2×C3×C4⋊Q8C2211yescharacteristic
20C2×C3×#121C2211yescharacteristic
21C2×C3×C4×D4C2211yescharacteristic
22C2×C3×#117C2211yescharacteristic
23C2×C3×#107C2211yescharacteristic
24C2×C3×#107C2211yescharacteristic
25C2×C3×#107C2211yescharacteristic
26C2×C3×#106C2211yescharacteristic
27C2×C3×#102C2211yescharacteristic
28C2×C3×#102C2211yescharacteristic
29C2×C3×#102C2211yescharacteristic
30C2×C3×#102C2211yescharacteristic
31C3×#400—21no—
32C3×#399—21no—
33C3×#395—21no—
34C3×#393—21no—
35C3×#390—21no—
36C3×#390C2211yescharacteristic
37C3×#389C2211yescharacteristic
38C3×#389C2211yescharacteristic
39C3×#389C2211yescharacteristic
40C3×#388—21no—
41C3×#386—21no—
42C3×#385—21no—
43C3×#382C2211yescharacteristic
44C3×#380C2211yescharacteristic
45C3×#380C2211yescharacteristic
46C3×#380C2211yescharacteristic
47C3×C4×C4⋊C4C2211yescharacteristic
48C3×#340C2211yescharacteristic
49C3×#340C2211yescharacteristic
50C3×#340C2211yescharacteristic
51C3×#340C2211yescharacteristic
52C3×#340C2211yescharacteristic
53C3×#340C2211yescharacteristic
54C3×#340C2211yescharacteristic
55C3×#340C2211yescharacteristic
56C3×#336C2211yescharacteristic
57C3×#336C2211yescharacteristic
58C3×#336C2211yescharacteristic
59C3×#336C2211yescharacteristic
60#2628C2×C311yescharacteristic, complemented
61#2324C2×C311yescharacteristic
62#2101C2×C311yescharacteristic, complemented
63#2092C2×C311yescharacteristic, complemented
64#2057C2×C311yescharacteristic, complemented
65#2023C2×C311yescharacteristic, complemented
66#1921C2×C311yescharacteristic, complemented
67#1920C2×C311yescharacteristic, complemented
68#1895C2×C311yescharacteristic
69#1893C2×C311yescharacteristic
70#1862C2×C311yescharacteristic, complemented
71#1862C2×C311yescharacteristic, complemented
72#1809C2×C311yescharacteristic, complemented
73#1808C2×C311yescharacteristic, complemented
74#1729C2×C311yescharacteristic, complemented
75C22×C3×Q8—21no—
76C22×C3×D4—21no—
77C22×C3×D4C2311yescharacteristic
78C23×C3×C4—21no—
79C23×C3×C4C2311yescharacteristic
80C2×C3×M16—22no—
81C2×C3×M16—22no—
82C2×C3×M16—41no—
83C22×C3×C8—22no—
84C22×C3×C8—22no—
85C22×C3×C8—41no—
86C22×C3×C8C2311yescharacteristic
87C22×C3×C8C2311yescharacteristic
88C22×C3×C8C2311yescharacteristic
89C22×C3×C8C2311yescharacteristic
90C3×C4⋊Q8—41no—
91C3×C4⋊Q8—41no—
92C3×#121—22no—
93C3×#121Q814yescomplemented
94C3×C4×D4—41no—
95C3×C4×D4—41no—
96C3×#117—41no—
97C3×#117—41no—
98C2×C3×C4⋊C4—21no—
99C2×C3×C4⋊C4—21no—
100C2×C3×C4⋊C4—21no—
101C2×C3×C4⋊C4—21no—
102C2×C3×C4⋊C4D411yescharacteristic
103C2×C3×C4⋊C4D411yescharacteristic
104C2×C3×C4⋊C4C2311yescharacteristic
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×C42C2311yescharacteristic
122C2×C3×C42C2311yescharacteristic
123C3×#107—22no—
124C3×#107—41no—
125C3×#107—41no—
126C3×#106—22no—
127C3×#102—22no—
128C3×#102—22no—
129C3×#102—41no—
130C3×#102—41no—
131C3×#95—21no—
132C3×#95—21no—
133C3×#95—21no—
134C3×#95—21no—
135C3×#95—21no—
136C3×#95—21no—
137C3×#95—21no—
138C3×#95—21no—
139C3×#95—21no—
140C22×M16C22×C311yescharacteristic
141C23×C8C22×C311yescharacteristic
142C2×C4⋊Q8C22×C311yescharacteristic
143C2×#121C22×C311yescharacteristic
144C2×C4×D4C22×C311yescharacteristic
145C2×#117C22×C311yescharacteristic
146C2×#107C22×C311yescharacteristic
147C2×#107C22×C311yescharacteristic
148C2×#107C22×C311yescharacteristic
149C2×#106C22×C311yescharacteristic
150C2×#102C22×C311yescharacteristic
151C2×#102C22×C311yescharacteristic
152C2×#102C22×C311yescharacteristic
153C2×#102C22×C311yescharacteristic
154#400—21no—
155#399—21no—
156#395—21no—
157#393—21no—
158#390—21no—
159#390C22×C311yescharacteristic
160#389C22×C311yescharacteristic
161#389C22×C311yescharacteristic
162#389C22×C311yescharacteristic
163#388—21no—
164#386—21no—
165#385—21no—
166#382C22×C311yescharacteristic
167#380C22×C311yescharacteristic
168#380C22×C311yescharacteristic
169#380C22×C311yescharacteristic
170C4×C4⋊C4C22×C311yescharacteristic
171#340C22×C311yescharacteristic
172#340C22×C311yescharacteristic
173#340C22×C311yescharacteristic
174#340C22×C311yescharacteristic
175#340C22×C311yescharacteristic
176#340C22×C311yescharacteristic
177#340C22×C311yescharacteristic
178#340C22×C311yescharacteristic
179#336C22×C311yescharacteristic
180#336C22×C311yescharacteristic
181#336C22×C311yescharacteristic
182#336C22×C311yescharacteristic
183C24×C3—21no—
184C24×C3C2×D411yescharacteristic
185C2×C3×Q8—42no—
186C2×C3×Q8—81no—
187C2×C3×Q8—81no—
188C2×C3×D4—24no—
189C2×C3×D4—21no—
190C2×C3×D4—21no—
191C2×C3×D4—21no—
192C2×C3×D4—21no—
193C2×C3×D4—21no—
194C2×C3×D4—81no—
195C2×C3×D4—81no—
196C2×C3×D4C2×Q812yes—
197C22×C3×C4—21no—
198C22×C3×C4—21no—
199C22×C3×C4—21no—
200C22×C3×C4—21no—
201C22×C3×C4—21no—
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—42no—
209C22×C3×C4—81no—
210C22×C3×C4—81no—
211C22×C3×C4C2×D411yescharacteristic
212C22×C3×C4C2×D411yescharacteristic
213C22×C3×C4C2×D411yescharacteristic
214C22×C3×C4C2×D411yescharacteristic
215C22×C3×C4C2×D411yescharacteristic
216C22×C3×C4C2×Q812yes—
217C22×C3×C4#4112yes—
218C22×C3×C4C2411yescharacteristic
219C3×M16—44no—
220C2×C3×C8—21no—
221C2×C3×C8—21no—
222C2×C3×C8—21no—
223C2×C3×C8—21no—
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—44no—
231C2×C3×C8#4112yes—
232C2×C3×C8#4112yes—
233C3×C4⋊C4—21no—
234C3×C4⋊C4—21no—
235C3×C4⋊C4—21no—
236C3×C4⋊C4—21no—
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—41no—
247C3×C4⋊C4—41no—
248C3×C4⋊C4—42no—
249C3×C4⋊C4—81no—
250C3×C4⋊C4—81no—
251C3×C4⋊C4—81no—
252C3×C4⋊C4C2×Q812yes—
253C3×C22⋊C4—24no—
254C3×C22⋊C4—41no—
255C3×C22⋊C4—41no—
256C3×C22⋊C4—42no—
257C3×C22⋊C4—81no—
258C3×C22⋊C4—81no—
259C3×C22⋊C4—81no—
260C3×C22⋊C4—81no—
261C3×C22⋊C4—81no—
262C3×C42—21no—
263C3×C42—21no—
264C3×C42—21no—
265C3×C42—21no—
266C3×C42—81no—
267C22×Q8—21no—
268C22×D4—21no—
269C22×D4C23×C311yescharacteristic
270C23×C4—21no—
271C23×C4C23×C311yescharacteristic
272C2×M16—22no—
273C2×M16—22no—
274C2×M16—41no—
275C22×C8—22no—
276C22×C8—22no—
277C22×C8—41no—
278C22×C8C23×C311yescharacteristic
279C22×C8C23×C311yescharacteristic
280C22×C8C23×C311yescharacteristic
281C22×C8C23×C311yescharacteristic
282C4⋊Q8—41no—
283C4⋊Q8—41no—
284#121—22no—
285#121C3×Q814yescomplemented
286C4×D4—41no—
287C4×D4—41no—
288#117—41no—
289#117—41no—
290C2×C4⋊C4—21no—
291C2×C4⋊C4—21no—
292C2×C4⋊C4—21no—
293C2×C4⋊C4—21no—
294C2×C4⋊C4C3×D411yescharacteristic
295C2×C4⋊C4C3×D411yescharacteristic
296C2×C4⋊C4C23×C311yescharacteristic
297C2×C4⋊C4C23×C311yescharacteristic
298C2×C4⋊C4C23×C311yescharacteristic
299C2×C4⋊C4C23×C311yescharacteristic
300C2×C4⋊C4C23×C311yescharacteristic
301C2×C4⋊C4C23×C311yescharacteristic
302C2×C4⋊C4C23×C311yescharacteristic
303C2×C22⋊C4—21no—
304C2×C22⋊C4—21no—
305C2×C22⋊C4—21no—
306C2×C22⋊C4—21no—
307C2×C22⋊C4—21no—
308C2×C22⋊C4—21no—
309C2×C22⋊C4—21no—
310C2×C22⋊C4C3×D411yescharacteristic
311C2×C22⋊C4C3×D411yescharacteristic
312C2×C42—21no—
313C2×C42C23×C311yescharacteristic
314C2×C42C23×C311yescharacteristic
315#107—22no—
316#107—41no—
317#107—41no—
318#106—22no—
319#102—22no—
320#102—22no—
321#102—41no—
322#102—41no—
323#95—21no—
324#95—21no—
325#95—21no—
326#95—21no—
327#95—21no—
328#95—21no—
329#95—21no—
330#95—21no—
331#95—21no—
332C23×C3—21no—
333C23×C3—21no—
334C23×C3—21no—
335C23×C3—21no—
336C23×C3—21no—
337C23×C3—21no—
338C23×C3—22no—
339C23×C3—41no—
340C23×C3—41no—
341C23×C3—41no—
342C23×C3—41no—
343C23×C3—41no—
344C23×C3—41no—
345C23×C3C22⋊Q812yes—
346C23×C3C22×D411yescharacteristic
347C3×Q8—84no—
348C3×D4—22no—
349C3×D4—22no—
350C3×D4—41no—
351C3×D4—41no—
352C3×D4—84no—
353C2×C3×C4—21no—
354C2×C3×C4—21no—
355C2×C3×C4—22no—
356C2×C3×C4—22no—
357C2×C3×C4—22no—
358C2×C3×C4—22no—
359C2×C3×C4—22no—
360C2×C3×C4—21no—
361C2×C3×C4—21no—
362C2×C3×C4—21no—
363C2×C3×C4—21no—
364C2×C3×C4—21no—
365C2×C3×C4—21no—
366C2×C3×C4—21no—
367C2×C3×C4—21no—
368C2×C3×C4—21no—
369C2×C3×C4—21no—
370C2×C3×C4—21no—
371C2×C3×C4—21no—
372C2×C3×C4—41no—
373C2×C3×C4—41no—
374C2×C3×C4—41no—
375C2×C3×C4—41no—
376C2×C3×C4—41no—
377C2×C3×C4—41no—
378C2×C3×C4—41no—
379C2×C3×C4—41no—
380C2×C3×C4—41no—
381C2×C3×C4—41no—
382C2×C3×C4—41no—
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—84no—
393C2×C3×C4C22⋊Q812yes—
394C2×C3×C4C22×Q811yescharacteristic
395C2×C3×C4C2×#4111yescharacteristic
396C2×C3×C4C2×#4111yescharacteristic
397C2×C3×C4C2×#4111yescharacteristic
398C2×C3×C4H(5,𝔽2)11yescharacteristic
399C2×C3×C4H(5,𝔽2)11yescharacteristic
400C3×C8—22no—
401C3×C8—22no—
402C3×C8—41no—
403C3×C8—41no—
404C24—21no—
405C24C2×C3×D411yescharacteristic
406C2×Q8—42no—
407C2×Q8—81no—
408C2×Q8—81no—
409C2×D4—24no—
410C2×D4—21no—
411C2×D4—21no—
412C2×D4—21no—
413C2×D4—21no—
414C2×D4—21no—
415C2×D4—81no—
416C2×D4—81no—
417C2×D4C2×C3×Q812yes—
418C22×C4—21no—
419C22×C4—21no—
420C22×C4—21no—
421C22×C4—21no—
422C22×C4—21no—
423C22×C4—21no—
424C22×C4—21no—
425C22×C4—21no—
426C22×C4—21no—
427C22×C4—21no—
428C22×C4—21no—
429C22×C4—42no—
430C22×C4—81no—
431C22×C4—81no—
432C22×C4C2×C3×D411yescharacteristic
433C22×C4C2×C3×D411yescharacteristic
434C22×C4C2×C3×D411yescharacteristic
435C22×C4C2×C3×D411yescharacteristic
436C22×C4C2×C3×D411yescharacteristic
437C22×C4C2×C3×Q812yes—
438C22×C4C3×#4112yes—
439C22×C4C24×C311yescharacteristic
440M16—44no—
441C2×C8—21no—
442C2×C8—21no—
443C2×C8—21no—
444C2×C8—21no—
445C2×C8—21no—
446C2×C8—21no—
447C2×C8—21no—
448C2×C8—21no—
449C2×C8—21no—
450C2×C8—21no—
451C2×C8—44no—
452C2×C8C3×#4112yes—
453C2×C8C3×#4112yes—
454C4⋊C4—21no—
455C4⋊C4—21no—
456C4⋊C4—21no—
457C4⋊C4—21no—
458C4⋊C4—21no—
459C4⋊C4—21no—
460C4⋊C4—21no—
461C4⋊C4—21no—
462C4⋊C4—21no—
463C4⋊C4—21no—
464C4⋊C4—21no—
465C4⋊C4—21no—
466C4⋊C4—21no—
467C4⋊C4—41no—
468C4⋊C4—41no—
469C4⋊C4—42no—
470C4⋊C4—81no—
471C4⋊C4—81no—
472C4⋊C4—81no—
473C4⋊C4C2×C3×Q812yes—
474C22⋊C4—24no—
475C22⋊C4—41no—
476C22⋊C4—41no—
477C22⋊C4—42no—
478C22⋊C4—81no—
479C22⋊C4—81no—
480C22⋊C4—81no—
481C22⋊C4—81no—
482C22⋊C4—81no—
483C42—21no—
484C42—21no—
485C42—21no—
486C42—21no—
487C42—81no—
488C22×C3—22no—
489C22×C3—22no—
490C22×C3—22no—
491C22×C3—41no—
492C22×C3—41no—
493C22×C3—41no—
494C22×C3—41no—
495C22×C3—42no—
496C22×C3—42no—
497C22×C3—42no—
498C22×C3—81no—
499C22×C3—81no—
500C22×C3—81no—
501C22×C3—81no—
502C22×C3C2×C22⋊Q811yescharacteristic
503C22×C3#53211yescharacteristic
504C22×C3#53411yescharacteristic
505C22×C3#57611yescharacteristic
506C22×C3#57611yescharacteristic
507C22×C3#57711yescharacteristic
508C22×C3#57811yescharacteristic
509C3×C4—22no—
510C3×C4—42no—
511C3×C4—41no—
512C3×C4—41no—
513C3×C4—41no—
514C3×C4—41no—
515C3×C4—81no—
516C3×C4—81no—
517C3×C4—81no—
518C3×C4—81no—
519C3×C4—81no—
520C3×C4—81no—
521C3×C4#55111yescharacteristic
522C3×C4#55111yescharacteristic
523C3×C4#55411yescharacteristic
524C3×C4#55411yescharacteristic
525C23—21no—
526C23—21no—
527C23—21no—
528C23—21no—
529C23—21no—
530C23—21no—
531C23—22no—
532C23—41no—
533C23—41no—
534C23—41no—
535C23—41no—
536C23—41no—
537C23—41no—
538C23C3×C22⋊Q812yes—
539C23C22×C3×D411yescharacteristic
540Q8—84no—
541D4—22no—
542D4—22no—
543D4—41no—
544D4—41no—
545D4—84no—
546C2×C4—21no—
547C2×C4—21no—
548C2×C4—22no—
549C2×C4—22no—
550C2×C4—22no—
551C2×C4—22no—
552C2×C4—21no—
553C2×C4—21no—
554C2×C4—21no—
555C2×C4—21no—
556C2×C4—21no—
557C2×C4—21no—
558C2×C4—21no—
559C2×C4—21no—
560C2×C4—22no—
561C2×C4—21no—
562C2×C4—21no—
563C2×C4—21no—
564C2×C4—21no—
565C2×C4—41no—
566C2×C4—41no—
567C2×C4—41no—
568C2×C4—41no—
569C2×C4—41no—
570C2×C4—41no—
571C2×C4—41no—
572C2×C4—41no—
573C2×C4—41no—
574C2×C4—41no—
575C2×C4—41no—
576C2×C4—41no—
577C2×C4—41no—
578C2×C4—41no—
579C2×C4—41no—
580C2×C4—41no—
581C2×C4—41no—
582C2×C4—41no—
583C2×C4—41no—
584C2×C4—41no—
585C2×C4—84no—
586C2×C4C3×C22⋊Q812yes—
587C2×C4C22×C3×Q811yescharacteristic
588C2×C4C2×C3×#4111yescharacteristic
589C2×C4C2×C3×#4111yescharacteristic
590C2×C4C2×C3×#4111yescharacteristic
591C2×C4C3×H(5,𝔽2)11yescharacteristic
592C2×C4C3×H(5,𝔽2)11yescharacteristic
593C8—22no—
594C8—22no—
595C8—41no—
596C8—41no—
597C2×C3—42no—
598C2×C3—82no—
599C2×C3#256411yescharacteristic
600C2×C3#308111yescharacteristic
601C2×C3#308311yescharacteristic
602C2×C3#317511yescharacteristic
603C2×C3#317911yescharacteristic
604C2×C3#319911yescharacteristic
605C2×C3#320111yescharacteristic
606C22—22no—
607C22—22no—
608C22—22no—
609C22—41no—
610C22—41no—
611C22—41no—
612C22—41no—
613C22—42no—
614C22—42no—
615C22—42no—
616C22—81no—
617C22—81no—
618C22—81no—
619C22—81no—
620C22C2×C3×C22⋊Q811yescharacteristic
621C22C3×#53211yescharacteristic
622C22C3×#53411yescharacteristic
623C22C3×#57611yescharacteristic
624C22C3×#57611yescharacteristic
625C22C3×#57711yescharacteristic
626C22C3×#57811yescharacteristic
627C4—22no—
628C4—41no—
629C4—41no—
630C4—41no—
631C4—41no—
632C4—42no—
633C4—81no—
634C4—81no—
635C4—81no—
636C4—81no—
637C4—81no—
638C4—81no—
639C4C3×#55111yescharacteristic
640C4C3×#55111yescharacteristic
641C4C3×#55411yescharacteristic
642C4C3×#55411yescharacteristic
643C3#2917511yescharacteristic, direct product factor, Sylow
644C2—42no—
645C2—82no—
646C2C3×#256411yescharacteristic
647C2C3×#308111yescharacteristic
648C2C3×#308311yescharacteristic
649C2C3×#317511yescharacteristic
650C2C3×#317911yescharacteristic
651C2C3×#319911yescharacteristic
652C2C3×#320111yescharacteristic
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. C3×#2628C2semidirect
3. C3×#2101C2semidirect
4. C3×#2092C2semidirect
5. C3×#2057C2semidirect
6. C3×#2023C2semidirect
7. C3×#1921C2semidirect
8. C3×#1920C2semidirect
11. C3×#1862C2semidirect
12. C3×#1862C2semidirect
13. C3×#1809C2semidirect
14. C3×#1808C2semidirect
15. C3×#1729C2semidirect
16. #29175C3direct (N × H)
60. #2628C2×C3semidirect
62. #2101C2×C3semidirect
63. #2092C2×C3semidirect
64. #2057C2×C3semidirect
65. #2023C2×C3semidirect
66. #1921C2×C3semidirect
67. #1920C2×C3semidirect
70. #1862C2×C3semidirect
71. #1862C2×C3semidirect
72. #1809C2×C3semidirect
73. #1808C2×C3semidirect
74. #1729C2×C3semidirect
93. C3×#121Q8semidirect
285. #121C3×Q8semidirect
643. C3#29175direct (N × H)

Maximal subgroups

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

subgroupindex
C3×#26282
C3×#23242
C3×#21012
C3×#20922
C3×#20572
C3×#20232
C3×#19212
C3×#19202
C3×#18952
C3×#18932
C3×#18622
C3×#18092
C3×#18082
C3×#17292
#291753