Finite Group Databasebeta

← C3×#26384 #10644991

Subgroups — C3×#26384 #10644991

Order 768.

894 conjugacy classes of subgroups.

The subgroup lattice has 648 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C3×#474C211yesmaximal, characteristic
2C2×C3×#440C211yesmaximal, characteristic
3C3×#2451C211yesmaximal, characteristic, complemented
4C3×D4×C4⋊C4C211yesmaximal, characteristic
5C3×#2095C211yesmaximal, characteristic, complemented
6C3×#2083C211yesmaximal, characteristic, complemented
7C3×#2066C211yesmaximal, characteristic, complemented
8C3×#2057C211yesmaximal, characteristic, complemented
9C3×#1944C211yesmaximal, characteristic, complemented
10C3×#1917C211yesmaximal, characteristic, complemented
11C3×#1877C211yesmaximal, characteristic
12C3×#1877C211yesmaximal, characteristic
13C3×#1864C211yesmaximal, characteristic
14C3×#1863C211yesmaximal, characteristic, complemented
15C3×#1862C211yesmaximal, characteristic
16#26384C311yesmaximal, characteristic, direct product factor, Sylow
17C22×C3×SD16C2211yescharacteristic
18C2×C3×C4⋊Q8C2211yescharacteristic
19C2×C3×C4×Q8C2211yescharacteristic
20C2×C3×C4×D4C2211yescharacteristic
21C2×C3×C4×D4C2211yescharacteristic
22C2×C3×C4×D4C2211yescharacteristic
23C22×C3×C4⋊C4—21no—
24C3×#474—24no—
25C3×#440—24no—
26C2×C3×#107C2211yescharacteristic
27C2×C3×#107C2211yescharacteristic
28C2×C3×#107C2211yescharacteristic
29C2×C3×#107C2211yescharacteristic
30C2×C3×#106C2211yescharacteristic
31C2×C3×C4⋊C8C2211yescharacteristic
32C2×C3×#103C2211yescharacteristic
33C2×C3×#103C2211yescharacteristic
34C2×C3×#103C2211yescharacteristic
35C2×C3×#102C2211yescharacteristic
36C2×C3×#102C2211yescharacteristic
37C2×C3×#102C2211yescharacteristic
38C2×C3×#97C2211yescharacteristic
39C3×#398—21no—
40C3×#395—21no—
41C3×#391—21no—
42C3×#391C2211yescharacteristic
43C3×#391C2211yescharacteristic
44C3×#389C2211yescharacteristic
45C3×#389C2211yescharacteristic
46C3×#389C2211yescharacteristic
47C3×#389C2211yescharacteristic
48C3×#387—21no—
49C3×#385—21no—
50C3×#385—21no—
51C3×#384C2211yescharacteristic
52C3×#380—21no—
53C3×C4×C4⋊C4C2211yescharacteristic
54C3×#340C2211yescharacteristic
55C3×#340C2211yescharacteristic
56C3×#340C2211yescharacteristic
57C3×#340C2211yescharacteristic
58C3×#336C2211yescharacteristic
59C3×#336C2211yescharacteristic
60C3×#336C2211yescharacteristic
61C3×#336C2211yescharacteristic
62C2×#474C2×C311yescharacteristic
63C2×#440C2×C311yescharacteristic
64#2451C2×C311yescharacteristic, complemented
65D4×C4⋊C4C2×C311yescharacteristic
66#2095C2×C311yescharacteristic, complemented
67#2083C2×C311yescharacteristic, complemented
68#2066C2×C311yescharacteristic, complemented
69#2057C2×C311yescharacteristic, complemented
70#1944C2×C311yescharacteristic, complemented
71#1917C2×C311yescharacteristic, complemented
72#1877C2×C311yescharacteristic
73#1877C2×C311yescharacteristic
74#1864C2×C311yescharacteristic
75#1863C2×C311yescharacteristic, complemented
76#1862C2×C311yescharacteristic
77C22×C3×Q8—21no—
78C22×C3×Q8C2311yescharacteristic
79C22×C3×D4C2311yescharacteristic
80C23×C3×C4—21no—
81C23×C3×C4—21no—
82C23×C3×C4—21no—
83C2×C3×SD16—22no—
84C2×C3×SD16—22no—
85C2×C3×SD16Q814yescomplemented
86C22×C3×C8C2311yescharacteristic
87C22×C3×C8C2311yescharacteristic
88C22×C3×C8C2311yescharacteristic
89C22×C3×C8C2311yescharacteristic
90C3×C4⋊Q8—22no—
91C3×C4⋊Q8—41no—
92C3×C4×Q8—22no—
93C3×C4×Q8—41no—
94C3×C4×D4—22no—
95C3×C4×D4—22no—
96C3×C4×D4—22no—
97C3×C4×D4—22no—
98C3×C4×D4—41no—
99C3×C4×D4—41no—
100C2×C3×C4⋊C4—21no—
101C2×C3×C4⋊C4—21no—
102C2×C3×C4⋊C4—21no—
103C2×C3×C4⋊C4—21no—
104C2×C3×C4⋊C4—21no—
105C2×C3×C4⋊C4—21no—
106C2×C3×C4⋊C4—21no—
107C2×C3×C4⋊C4—21no—
108C2×C3×C4⋊C4—44no—
109C2×C3×C4⋊C4D411yescharacteristic
110C2×C3×C4⋊C4D411yescharacteristic
111C2×C3×C4⋊C4C2311yescharacteristic
112C2×C3×C4⋊C4C2311yescharacteristic
113C2×C3×C4⋊C4C2311yescharacteristic
114C2×C3×C4⋊C4C2311yescharacteristic
115C2×C3×C4⋊C4C2311yescharacteristic
116C2×C3×C4⋊C4C2311yescharacteristic
117C2×C3×C22⋊C4—21no—
118C2×C3×C22⋊C4—21no—
119C2×C3×C22⋊C4—21no—
120C2×C3×C42—21no—
121C2×C3×C42C2311yescharacteristic
122C2×C3×C42C2311yescharacteristic
123C2×C3×C42C2311yescharacteristic
124C3×#107—22no—
125C3×#107—22no—
126C3×#107—22no—
127C3×#107—41no—
128C3×#106—22no—
129C3×C4⋊C8—22no—
130C3×#103—22no—
131C3×#103—22no—
132C3×#103—41no—
133C3×#102—22no—
134C3×#102—22no—
135C3×#102D414yes—
136C3×#97—22no—
137C3×#95—21no—
138C3×#95—21no—
139C3×#95—21no—
140C3×#95—21no—
141C3×#95—21no—
142C3×#95—21no—
143C3×#95—21no—
144C3×#95—21no—
145C3×#95D411yescharacteristic
146C3×#95D411yescharacteristic
147C22×SD16C22×C311yescharacteristic
148C2×C4⋊Q8C22×C311yescharacteristic
149C2×C4×Q8C22×C311yescharacteristic
150C2×C4×D4C22×C311yescharacteristic
151C2×C4×D4C22×C311yescharacteristic
152C2×C4×D4C22×C311yescharacteristic
153C22×C4⋊C4—21no—
154#474—24no—
155#440—24no—
156C2×#107C22×C311yescharacteristic
157C2×#107C22×C311yescharacteristic
158C2×#107C22×C311yescharacteristic
159C2×#107C22×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×#97C22×C311yescharacteristic
169#398—21no—
170#395—21no—
171#391—21no—
172#391C22×C311yescharacteristic
173#391C22×C311yescharacteristic
174#389C22×C311yescharacteristic
175#389C22×C311yescharacteristic
176#389C22×C311yescharacteristic
177#389C22×C311yescharacteristic
178#387—21no—
179#385—21no—
180#385—21no—
181#384C22×C311yescharacteristic
182#380—21no—
183C4×C4⋊C4C22×C311yescharacteristic
184#340C22×C311yescharacteristic
185#340C22×C311yescharacteristic
186#340C22×C311yescharacteristic
187#340C22×C311yescharacteristic
188#336C22×C311yescharacteristic
189#336C22×C311yescharacteristic
190#336C22×C311yescharacteristic
191#336C22×C311yescharacteristic
192C24×C3—21no—
193C2×C3×Q8—21no—
194C2×C3×Q8—21no—
195C2×C3×Q8—21no—
196C2×C3×Q8—21no—
197C2×C3×Q8—21no—
198C2×C3×Q8—42no—
199C2×C3×Q8—42no—
200C2×C3×Q8—81no—
201C2×C3×Q8C2×Q812yes—
202C2×C3×D4—21no—
203C2×C3×D4—21no—
204C2×C3×D4—21no—
205C2×C3×D4C2×D412yes—
206C2×C3×D4C2×Q812yes—
207C2×C3×D4#4112yes—
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—21no—
215C22×C3×C4—21no—
216C22×C3×C4—42no—
217C22×C3×C4—42no—
218C22×C3×C4—42no—
219C22×C3×C4—42no—
220C22×C3×C4—42no—
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×D411yescharacteristic
230C22×C3×C4C2411yescharacteristic
231C3×SD16—28no—
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×C8C2×D412yes—
243C2×C3×C8C2×Q812yes—
244C3×C4⋊C4—22no—
245C3×C4⋊C4—22no—
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—21no—
256C3×C4⋊C4—42no—
257C3×C4⋊C4—42no—
258C3×C4⋊C4—42no—
259C3×C4⋊C4—42no—
260C3×C4⋊C4—42no—
261C3×C4⋊C4—81no—
262C3×C4⋊C4—81no—
263C3×C4⋊C4—81no—
264C3×C4⋊C4C2×D412yes—
265C3×C4⋊C4#4112yes—
266C3×C22⋊C4—24no—
267C3×C22⋊C4—42no—
268C3×C22⋊C4—42no—
269C3×C42—21no—
270C3×C42—21no—
271C3×C42—21no—
272C3×C42—21no—
273C3×C42—21no—
274C3×C42—21no—
275C3×C42—42no—
276C22×Q8—21no—
277C22×Q8C23×C311yescharacteristic
278C22×D4C23×C311yescharacteristic
279C23×C4—21no—
280C23×C4—21no—
281C23×C4—21no—
282C2×SD16—22no—
283C2×SD16—22no—
284C2×SD16C3×Q814yescomplemented
285C22×C8C23×C311yescharacteristic
286C22×C8C23×C311yescharacteristic
287C22×C8C23×C311yescharacteristic
288C22×C8C23×C311yescharacteristic
289C4⋊Q8—22no—
290C4⋊Q8—41no—
291C4×Q8—22no—
292C4×Q8—41no—
293C4×D4—22no—
294C4×D4—22no—
295C4×D4—22no—
296C4×D4—22no—
297C4×D4—41no—
298C4×D4—41no—
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—44no—
308C2×C4⋊C4C3×D411yescharacteristic
309C2×C4⋊C4C3×D411yescharacteristic
310C2×C4⋊C4C23×C311yescharacteristic
311C2×C4⋊C4C23×C311yescharacteristic
312C2×C4⋊C4C23×C311yescharacteristic
313C2×C4⋊C4C23×C311yescharacteristic
314C2×C4⋊C4C23×C311yescharacteristic
315C2×C4⋊C4C23×C311yescharacteristic
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—22no—
324#107—22no—
325#107—22no—
326#107—41no—
327#106—22no—
328C4⋊C8—22no—
329#103—22no—
330#103—22no—
331#103—41no—
332#102—22no—
333#102—22no—
334#102C3×D414yes—
335#97—22no—
336#95—21no—
337#95—21no—
338#95—21no—
339#95—21no—
340#95—21no—
341#95—21no—
342#95—21no—
343#95—21no—
344#95C3×D411yescharacteristic
345#95C3×D411yescharacteristic
346C23×C3—22no—
347C23×C3—22no—
348C23×C3—22no—
349C23×C3—41no—
350C23×C3—41no—
351C23×C3—41no—
352C23×C3—41no—
353C23×C3C22×D411yescharacteristic
354C3×Q8—22no—
355C3×Q8—22no—
356C3×Q8—41no—
357C3×Q8—41no—
358C3×Q8—84no—
359C3×D4—22no—
360C3×D4—22no—
361C3×D4—22no—
362C3×D4C22⋊Q814yes—
363C2×C3×C4—21no—
364C2×C3×C4—21no—
365C2×C3×C4—21no—
366C2×C3×C4—21no—
367C2×C3×C4—21no—
368C2×C3×C4—22no—
369C2×C3×C4—21no—
370C2×C3×C4—21no—
371C2×C3×C4—21no—
372C2×C3×C4—22no—
373C2×C3×C4—22no—
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—48no—
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—84no—
402C2×C3×C4—84no—
403C2×C3×C4AGL(1,ℤ/8)12yes—
404C2×C3×C4#13712yes—
405C2×C3×C4C22×D411yescharacteristic
406C2×C3×C4C22×Q811yescharacteristic
407C2×C3×C4C2×#4111yescharacteristic
408C2×C3×C4C2×#4111yescharacteristic
409C2×C3×C4H(5,𝔽2)11yescharacteristic
410C2×C3×C42−1+411yescharacteristic
411C3×C8—22no—
412C3×C8—22no—
413C3×C8—41no—
414C3×C8—41no—
415C24—21no—
416C2×Q8—21no—
417C2×Q8—21no—
418C2×Q8—21no—
419C2×Q8—21no—
420C2×Q8—21no—
421C2×Q8—42no—
422C2×Q8—42no—
423C2×Q8—81no—
424C2×Q8C2×C3×Q812yes—
425C2×D4—21no—
426C2×D4—21no—
427C2×D4—21no—
428C2×D4C2×C3×D412yes—
429C2×D4C2×C3×Q812yes—
430C2×D4C3×#4112yes—
431C22×C4—24no—
432C22×C4—21no—
433C22×C4—21no—
434C22×C4—21no—
435C22×C4—21no—
436C22×C4—21no—
437C22×C4—21no—
438C22×C4—21no—
439C22×C4—42no—
440C22×C4—42no—
441C22×C4—42no—
442C22×C4—42no—
443C22×C4—42no—
444C22×C4—42no—
445C22×C4—81no—
446C22×C4—81no—
447C22×C4C2×C3×D411yescharacteristic
448C22×C4C2×C3×D411yescharacteristic
449C22×C4C2×C3×D411yescharacteristic
450C22×C4C2×C3×D411yescharacteristic
451C22×C4C2×C3×D411yescharacteristic
452C22×C4C2×C3×D411yescharacteristic
453C22×C4C24×C311yescharacteristic
454SD16—28no—
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—
465C2×C8C2×C3×D412yes—
466C2×C8C2×C3×Q812yes—
467C4⋊C4—22no—
468C4⋊C4—22no—
469C4⋊C4—21no—
470C4⋊C4—21no—
471C4⋊C4—21no—
472C4⋊C4—21no—
473C4⋊C4—21no—
474C4⋊C4—21no—
475C4⋊C4—21no—
476C4⋊C4—21no—
477C4⋊C4—21no—
478C4⋊C4—21no—
479C4⋊C4—42no—
480C4⋊C4—42no—
481C4⋊C4—42no—
482C4⋊C4—42no—
483C4⋊C4—42no—
484C4⋊C4—81no—
485C4⋊C4—81no—
486C4⋊C4—81no—
487C4⋊C4C2×C3×D412yes—
488C4⋊C4C3×#4112yes—
489C22⋊C4—24no—
490C22⋊C4—42no—
491C22⋊C4—42no—
492C42—21no—
493C42—21no—
494C42—21no—
495C42—21no—
496C42—21no—
497C42—21no—
498C42—42no—
499C22×C3—24no—
500C22×C3—42no—
501C22×C3—42no—
502C22×C3—42no—
503C22×C3—42no—
504C22×C3—42no—
505C22×C3—42no—
506C22×C3#52511yescharacteristic
507C22×C3D4211yescharacteristic
508C22×C3D4×Q811yescharacteristic
509C22×C3C2×AGL(1,ℤ/8)11yescharacteristic
510C22×C3C2×#13711yescharacteristic
511C22×C3#57611yescharacteristic
512C22×C3#57811yescharacteristic
513C3×C4—22no—
514C3×C4—22no—
515C3×C4—42no—
516C3×C4—41no—
517C3×C4—42no—
518C3×C4—41no—
519C3×C4—42no—
520C3×C4—41no—
521C3×C4—41no—
522C3×C4—81no—
523C3×C4—81no—
524C3×C4—81no—
525C3×C4—81no—
526C3×C4C2×C22⋊Q811yescharacteristic
527C3×C4#53911yescharacteristic
528C3×C4#54711yescharacteristic
529C3×C4#55411yescharacteristic
530C23—22no—
531C23—22no—
532C23—22no—
533C23—41no—
534C23—41no—
535C23—41no—
536C23—41no—
537C23C22×C3×D411yescharacteristic
538Q8—22no—
539Q8—22no—
540Q8—41no—
541Q8—41no—
542Q8—84no—
543D4—22no—
544D4—22no—
545D4—22no—
546D4C3×C22⋊Q814yes—
547C2×C4—21no—
548C2×C4—21no—
549C2×C4—21no—
550C2×C4—21no—
551C2×C4—21no—
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—22no—
565C2×C4—22no—
566C2×C4—48no—
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×C4—84no—
587C2×C4C3×AGL(1,ℤ/8)12yes—
588C2×C4C3×#13712yes—
589C2×C4C22×C3×D411yescharacteristic
590C2×C4C22×C3×Q811yescharacteristic
591C2×C4C2×C3×#4111yescharacteristic
592C2×C4C2×C3×#4111yescharacteristic
593C2×C4C3×H(5,𝔽2)11yescharacteristic
594C2×C4C3×2−1+411yescharacteristic
595C8—22no—
596C8—22no—
597C8—41no—
598C8—41no—
599C2×C3—44no—
600C2×C3#244911yescharacteristic
601C2×C3#311011yescharacteristic
602C2×C3#312411yescharacteristic
603C2×C3#326411yescharacteristic
604C2×C3#327611yescharacteristic
605C2×C3#338511yescharacteristic
606C2×C3#338611yescharacteristic
607C22—24no—
608C22—42no—
609C22—42no—
610C22—42no—
611C22—42no—
612C22—42no—
613C22—42no—
614C22C3×#52511yescharacteristic
615C22C3×D4211yescharacteristic
616C22C3×D4×Q811yescharacteristic
617C22C2×C3×AGL(1,ℤ/8)11yescharacteristic
618C22C2×C3×#13711yescharacteristic
619C22C3×#57611yescharacteristic
620C22C3×#57811yescharacteristic
621C4—22no—
622C4—22no—
623C4—42no—
624C4—41no—
625C4—42no—
626C4—41no—
627C4—41no—
628C4—42no—
629C4—41no—
630C4—81no—
631C4—81no—
632C4—81no—
633C4—81no—
634C4C2×C3×C22⋊Q811yescharacteristic
635C4C3×#53911yescharacteristic
636C4C3×#54711yescharacteristic
637C4C3×#55411yescharacteristic
638C3#2638411yescharacteristic, direct product factor, Sylow
639C2—44no—
640C2C3×#244911yescharacteristic
641C2C3×#311011yescharacteristic
642C2C3×#312411yescharacteristic
643C2C3×#326411yescharacteristic
644C2C3×#327611yescharacteristic
645C2C3×#338511yescharacteristic
646C2C3×#338611yescharacteristic
subgroupG/H
center, socleC23×C3C22×D4
commutator, Frattini, cosocleC22×C4C24×C3
prime radicalC22×C3×D4C23
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23×C3 ◁ C3×C4×C4⋊C4 ◁ G

Complements

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

NH ≅ G/Ntype
3. C3×#2451C2semidirect
5. C3×#2095C2semidirect
6. C3×#2083C2semidirect
7. C3×#2066C2semidirect
8. C3×#2057C2semidirect
9. C3×#1944C2semidirect
10. C3×#1917C2semidirect
14. C3×#1863C2semidirect
16. #26384C3direct (N × H)
64. #2451C2×C3semidirect
66. #2095C2×C3semidirect
67. #2083C2×C3semidirect
68. #2066C2×C3semidirect
69. #2057C2×C3semidirect
70. #1944C2×C3semidirect
71. #1917C2×C3semidirect
75. #1863C2×C3semidirect
85. C2×C3×SD16Q8semidirect
284. C2×SD16C3×Q8semidirect
638. C3#26384direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C3×#4742
C2×C3×#4402
C3×#24512
C3×D4×C4⋊C42
C3×#20952
C3×#20832
C3×#20662
C3×#20572
C3×#19442
C3×#19172
C3×#18772
C3×#18642
C3×#18632
C3×#18622
#263843