Finite Group Databasebeta

← C3×#26394 #10645001

Subgroups — C3×#26394 #10645001

Order 768.

890 conjugacy classes of subgroups.

The subgroup lattice has 672 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C3×#478C211yesmaximal, characteristic, complemented
2C2×C3×#442C211yesmaximal, characteristic
3C3×#2454C211yesmaximal, characteristic, complemented
4C3×#2349C211yesmaximal, characteristic, complemented
5C3×#2092C211yesmaximal, characteristic, complemented
6C3×#2085C211yesmaximal, characteristic, complemented
7C3×#2067C211yesmaximal, characteristic, complemented
8C3×#2059C211yesmaximal, characteristic, complemented
9C3×#1943C211yesmaximal, characteristic, complemented
10C3×#1917C211yesmaximal, characteristic, complemented
11C3×#1879C211yesmaximal, characteristic
12C3×#1879C211yesmaximal, characteristic
13C3×#1862C211yesmaximal, characteristic, complemented
14C3×#1862C211yesmaximal, characteristic, complemented
15C3×#1862C211yesmaximal, characteristic, complemented
16#26394C311yesmaximal, characteristic, direct product factor, Sylow
17C22×C3×D8C2211yescharacteristic
18C2×C3×#125C2211yescharacteristic
19C2×C3×C4×D4C2211yescharacteristic
20C2×C3×C4×D4C2211yescharacteristic
21C2×C3×C4×D4C2211yescharacteristic
22C2×C3×C4×D4C2211yescharacteristic
23C3×#478—24no—
24C3×#442—24no—
25C2×C3×#107C2211yescharacteristic
26C2×C3×#107C2211yescharacteristic
27C2×C3×#107C2211yescharacteristic
28C2×C3×#106C2211yescharacteristic
29C2×C3×#106C2211yescharacteristic
30C2×C3×C4⋊C8C2211yescharacteristic
31C2×C3×#102C2211yescharacteristic
32C2×C3×#102C2211yescharacteristic
33C2×C3×#102C2211yescharacteristic
34C2×C3×#102C2211yescharacteristic
35C2×C3×#102C2211yescharacteristic
36C2×C3×#102C2211yescharacteristic
37C2×C3×#97C2211yescharacteristic
38C3×#399—21no—
39C3×#396—21no—
40C3×#390C2211yescharacteristic
41C3×#390C2211yescharacteristic
42C3×#389C2211yescharacteristic
43C3×#389C2211yescharacteristic
44C3×#389C2211yescharacteristic
45C3×#389C2211yescharacteristic
46C3×#385—21no—
47C3×#385—21no—
48C3×#385—21no—
49C3×#382C2211yescharacteristic
50C3×#380—21no—
51C3×#380—21no—
52C3×C4×C4⋊C4C2211yescharacteristic
53C2×C3×#95—21no—
54C3×#340C2211yescharacteristic
55C3×#340C2211yescharacteristic
56C3×#340C2211yescharacteristic
57C3×#340C2211yescharacteristic
58C3×#336C2211yescharacteristic
59C3×#336C2211yescharacteristic
60C3×#336C2211yescharacteristic
61C3×#336C2211yescharacteristic
62C2×#478C2×C311yescharacteristic, complemented
63C2×#442C2×C311yescharacteristic
64#2454C2×C311yescharacteristic, complemented
65#2349C2×C311yescharacteristic, complemented
66#2092C2×C311yescharacteristic, complemented
67#2085C2×C311yescharacteristic, complemented
68#2067C2×C311yescharacteristic, complemented
69#2059C2×C311yescharacteristic, complemented
70#1943C2×C311yescharacteristic, complemented
71#1917C2×C311yescharacteristic, complemented
72#1879C2×C311yescharacteristic
73#1879C2×C311yescharacteristic
74#1862C2×C311yescharacteristic, complemented
75#1862C2×C311yescharacteristic, complemented
76#1862C2×C311yescharacteristic, complemented
77C22×C3×D4C2311yescharacteristic
78C22×C3×D4C2311yescharacteristic
79C23×C3×C4—21no—
80C23×C3×C4—21no—
81C23×C3×C4—21no—
82C23×C3×C4—21no—
83C2×C3×D8—22no—
84C2×C3×D8—22no—
85C2×C3×D8Q814yes—
86C22×C3×C8C2311yescharacteristic
87C22×C3×C8C2311yescharacteristic
88C22×C3×C8C2311yescharacteristic
89C22×C3×C8C2311yescharacteristic
90C3×#125—22no—
91C3×#125—41no—
92C3×C4×D4—22no—
93C3×C4×D4—22no—
94C3×C4×D4—22no—
95C3×C4×D4—22no—
96C3×C4×D4—22no—
97C3×C4×D4—41no—
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⋊C4D411yescharacteristic
107C2×C3×C4⋊C4D411yescharacteristic
108C2×C3×C4⋊C4C2311yescharacteristic
109C2×C3×C4⋊C4C2311yescharacteristic
110C2×C3×C4⋊C4C2311yescharacteristic
111C2×C3×C4⋊C4C2311yescharacteristic
112C2×C3×C4⋊C4C2311yescharacteristic
113C2×C3×C4⋊C4C2311yescharacteristic
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⋊C4—21no—
120C2×C3×C22⋊C4—21no—
121C2×C3×C22⋊C4—21no—
122C2×C3×C42C2311yescharacteristic
123C2×C3×C42C2311yescharacteristic
124C2×C3×C42C2311yescharacteristic
125C3×#107—22no—
126C3×#107—22no—
127C3×#107—41no—
128C3×#106—22no—
129C3×#106—22no—
130C3×C4⋊C8—22no—
131C3×#102—22no—
132C3×#102—22no—
133C3×#102—22no—
134C3×#102—22no—
135C3×#102—41no—
136C3×#102D414yes—
137C3×#97—22no—
138C3×#95—21no—
139C3×#95—21no—
140C3×#95—21no—
141C3×#95—21no—
142C3×#95—21no—
143C3×#95—21no—
144C3×#95D411yescharacteristic
145C3×#95D411yescharacteristic
146C22×D8C22×C311yescharacteristic
147C2×#125C22×C311yescharacteristic
148C2×C4×D4C22×C311yescharacteristic
149C2×C4×D4C22×C311yescharacteristic
150C2×C4×D4C22×C311yescharacteristic
151C2×C4×D4C22×C311yescharacteristic
152#478—24no—
153#442—24no—
154C2×#107C22×C311yescharacteristic
155C2×#107C22×C311yescharacteristic
156C2×#107C22×C311yescharacteristic
157C2×#106C22×C311yescharacteristic
158C2×#106C22×C311yescharacteristic
159C2×C4⋊C8C22×C311yescharacteristic
160C2×#102C22×C311yescharacteristic
161C2×#102C22×C311yescharacteristic
162C2×#102C22×C311yescharacteristic
163C2×#102C22×C311yescharacteristic
164C2×#102C22×C311yescharacteristic
165C2×#102C22×C311yescharacteristic
166C2×#97C22×C311yescharacteristic
167#399—21no—
168#396—21no—
169#390C22×C311yescharacteristic
170#390C22×C311yescharacteristic
171#389C22×C311yescharacteristic
172#389C22×C311yescharacteristic
173#389C22×C311yescharacteristic
174#389C22×C311yescharacteristic
175#385—21no—
176#385—21no—
177#385—21no—
178#382C22×C311yescharacteristic
179#380—21no—
180#380—21no—
181C4×C4⋊C4C22×C311yescharacteristic
182C2×#95—21no—
183#340C22×C311yescharacteristic
184#340C22×C311yescharacteristic
185#340C22×C311yescharacteristic
186#340C22×C311yescharacteristic
187#336C22×C311yescharacteristic
188#336C22×C311yescharacteristic
189#336C22×C311yescharacteristic
190#336C22×C311yescharacteristic
191C24×C3—21no—
192C24×C3—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×D4C2×D412yes—
202C2×C3×D4C2×Q812yes—
203C2×C3×D4C2×Q812yes—
204C2×C3×D4#4112yes—
205C22×C3×C4—21no—
206C22×C3×C4—21no—
207C22×C3×C4—24no—
208C22×C3×C4—21no—
209C22×C3×C4—21no—
210C22×C3×C4—21no—
211C22×C3×C4—21no—
212C22×C3×C4—42no—
213C22×C3×C4—42no—
214C22×C3×C4—42no—
215C22×C3×C4—42no—
216C22×C3×C4—42no—
217C22×C3×C4—42no—
218C22×C3×C4—81no—
219C22×C3×C4—81no—
220C22×C3×C4—81no—
221C22×C3×C4—81no—
222C22×C3×C4—81no—
223C22×C3×C4C2×D411yescharacteristic
224C22×C3×C4C2×D411yescharacteristic
225C22×C3×C4C2×D411yescharacteristic
226C22×C3×C4C2×D411yescharacteristic
227C22×C3×C4C2×D411yescharacteristic
228C22×C3×C4C2×D411yescharacteristic
229C22×C3×C4C2411yescharacteristic
230C3×D8—28no—
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—21no—
240C2×C3×C8—21no—
241C2×C3×C8C2×D412yes—
242C2×C3×C8C2×Q812yes—
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—21no—
251C3×C4⋊C4—21no—
252C3×C4⋊C4—21no—
253C3×C4⋊C4—41no—
254C3×C4⋊C4—41no—
255C3×C4⋊C4—42no—
256C3×C4⋊C4—42no—
257C3×C4⋊C4—81no—
258C3×C4⋊C4—81no—
259C3×C4⋊C4—81no—
260C3×C4⋊C4—81no—
261C3×C4⋊C4C2×D412yes—
262C3×C4⋊C4#4112yes—
263C3×C22⋊C4—24no—
264C3×C22⋊C4—42no—
265C3×C22⋊C4—42no—
266C3×C22⋊C4—42no—
267C3×C22⋊C4—42no—
268C3×C22⋊C4—81no—
269C3×C22⋊C4—81no—
270C3×C22⋊C4—81no—
271C3×C42—21no—
272C3×C42—21no—
273C3×C42—21no—
274C3×C42—21no—
275C3×C42—21no—
276C3×C42—21no—
277C22×D4C23×C311yescharacteristic
278C22×D4C23×C311yescharacteristic
279C23×C4—21no—
280C23×C4—21no—
281C23×C4—21no—
282C23×C4—21no—
283C2×D8—22no—
284C2×D8—22no—
285C2×D8C3×Q814yes—
286C22×C8C23×C311yescharacteristic
287C22×C8C23×C311yescharacteristic
288C22×C8C23×C311yescharacteristic
289C22×C8C23×C311yescharacteristic
290#125—22no—
291#125—41no—
292C4×D4—22no—
293C4×D4—22no—
294C4×D4—22no—
295C4×D4—22no—
296C4×D4—22no—
297C4×D4—41no—
298C4×D4—41no—
299C4×D4—41no—
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⋊C4C3×D411yescharacteristic
307C2×C4⋊C4C3×D411yescharacteristic
308C2×C4⋊C4C23×C311yescharacteristic
309C2×C4⋊C4C23×C311yescharacteristic
310C2×C4⋊C4C23×C311yescharacteristic
311C2×C4⋊C4C23×C311yescharacteristic
312C2×C4⋊C4C23×C311yescharacteristic
313C2×C4⋊C4C23×C311yescharacteristic
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⋊C4—21no—
321C2×C22⋊C4—21no—
322C2×C42C23×C311yescharacteristic
323C2×C42C23×C311yescharacteristic
324C2×C42C23×C311yescharacteristic
325#107—22no—
326#107—22no—
327#107—41no—
328#106—22no—
329#106—22no—
330C4⋊C8—22no—
331#102—22no—
332#102—22no—
333#102—22no—
334#102—22no—
335#102—41no—
336#102C3×D414yes—
337#97—22no—
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—22no—
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×C3C22×D411yescharacteristic
361C3×D4—22no—
362C3×D4—22no—
363C3×D4—22no—
364C3×D4—22no—
365C3×D4—22no—
366C3×D4—41no—
367C3×D4—41no—
368C3×D4C22⋊Q814yes—
369C2×C3×C4—21no—
370C2×C3×C4—21no—
371C2×C3×C4—22no—
372C2×C3×C4—21no—
373C2×C3×C4—21no—
374C2×C3×C4—21no—
375C2×C3×C4—21no—
376C2×C3×C4—22no—
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—21no—
384C2×C3×C4—21no—
385C2×C3×C4—21no—
386C2×C3×C4—21no—
387C2×C3×C4—21no—
388C2×C3×C4—21no—
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—41no—
403C2×C3×C4—41no—
404C2×C3×C4—41no—
405C2×C3×C4—84no—
406C2×C3×C4—84no—
407C2×C3×C4—84no—
408C2×C3×C4—84no—
409C2×C3×C4C22×D411yescharacteristic
410C2×C3×C4C22×Q811yescharacteristic
411C2×C3×C4C2×#4111yescharacteristic
412C2×C3×C4C2×#4111yescharacteristic
413C2×C3×C4H(5,𝔽2)11yescharacteristic
414C2×C3×C42−1+411yescharacteristic
415C3×C8—22no—
416C3×C8—22no—
417C3×C8—41no—
418C3×C8—41no—
419C24—21no—
420C24—21no—
421C2×D4—21no—
422C2×D4—21no—
423C2×D4—21no—
424C2×D4—21no—
425C2×D4—21no—
426C2×D4—21no—
427C2×D4—21no—
428C2×D4—21no—
429C2×D4C2×C3×D412yes—
430C2×D4C2×C3×Q812yes—
431C2×D4C2×C3×Q812yes—
432C2×D4C3×#4112yes—
433C22×C4—21no—
434C22×C4—21no—
435C22×C4—24no—
436C22×C4—21no—
437C22×C4—21no—
438C22×C4—21no—
439C22×C4—21no—
440C22×C4—42no—
441C22×C4—42no—
442C22×C4—42no—
443C22×C4—42no—
444C22×C4—42no—
445C22×C4—42no—
446C22×C4—81no—
447C22×C4—81no—
448C22×C4—81no—
449C22×C4—81no—
450C22×C4—81no—
451C22×C4C2×C3×D411yescharacteristic
452C22×C4C2×C3×D411yescharacteristic
453C22×C4C2×C3×D411yescharacteristic
454C22×C4C2×C3×D411yescharacteristic
455C22×C4C2×C3×D411yescharacteristic
456C22×C4C2×C3×D411yescharacteristic
457C22×C4C24×C311yescharacteristic
458D8—28no—
459C2×C8—21no—
460C2×C8—21no—
461C2×C8—21no—
462C2×C8—21no—
463C2×C8—21no—
464C2×C8—21no—
465C2×C8—21no—
466C2×C8—21no—
467C2×C8—21no—
468C2×C8—21no—
469C2×C8C2×C3×D412yes—
470C2×C8C2×C3×Q812yes—
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—21no—
480C4⋊C4—21no—
481C4⋊C4—41no—
482C4⋊C4—41no—
483C4⋊C4—42no—
484C4⋊C4—42no—
485C4⋊C4—81no—
486C4⋊C4—81no—
487C4⋊C4—81no—
488C4⋊C4—81no—
489C4⋊C4C2×C3×D412yes—
490C4⋊C4C3×#4112yes—
491C22⋊C4—24no—
492C22⋊C4—42no—
493C22⋊C4—42no—
494C22⋊C4—42no—
495C22⋊C4—42no—
496C22⋊C4—81no—
497C22⋊C4—81no—
498C22⋊C4—81no—
499C42—21no—
500C42—21no—
501C42—21no—
502C42—21no—
503C42—21no—
504C42—21no—
505C22×C3—24no—
506C22×C3—42no—
507C22×C3—42no—
508C22×C3—42no—
509C22×C3—42no—
510C22×C3—42no—
511C22×C3—42no—
512C22×C3—42no—
513C22×C3—42no—
514C22×C3—42no—
515C22×C3—81no—
516C22×C3—81no—
517C22×C3—81no—
518C22×C3—81no—
519C22×C3#52511yescharacteristic
520C22×C3D4211yescharacteristic
521C22×C3D4×Q811yescharacteristic
522C22×C3#57511yescharacteristic
523C22×C3#57511yescharacteristic
524C22×C3#57611yescharacteristic
525C22×C3#57611yescharacteristic
526C3×C4—41no—
527C3×C4—41no—
528C3×C4—42no—
529C3×C4—41no—
530C3×C4—41no—
531C3×C4—41no—
532C3×C4—41no—
533C3×C4—42no—
534C3×C4—81no—
535C3×C4—81no—
536C3×C4—81no—
537C3×C4—81no—
538C3×C4C2×C22⋊Q811yescharacteristic
539C3×C4#53911yescharacteristic
540C3×C4#54711yescharacteristic
541C3×C4#55411yescharacteristic
542C23—22no—
543C23—22no—
544C23—22no—
545C23—22no—
546C23—41no—
547C23—41no—
548C23—41no—
549C23—41no—
550C23—41no—
551C23—41no—
552C23—41no—
553C23—41no—
554C23—41no—
555C23—41no—
556C23C22×C3×D411yescharacteristic
557D4—22no—
558D4—22no—
559D4—22no—
560D4—22no—
561D4—22no—
562D4—41no—
563D4—41no—
564D4C3×C22⋊Q814yes—
565C2×C4—21no—
566C2×C4—21no—
567C2×C4—21no—
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—21no—
577C2×C4—21no—
578C2×C4—21no—
579C2×C4—22no—
580C2×C4—21no—
581C2×C4—21no—
582C2×C4—21no—
583C2×C4—21no—
584C2×C4—22no—
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×C4—84no—
603C2×C4—84no—
604C2×C4—84no—
605C2×C4C22×C3×D411yescharacteristic
606C2×C4C22×C3×Q811yescharacteristic
607C2×C4C2×C3×#4111yescharacteristic
608C2×C4C2×C3×#4111yescharacteristic
609C2×C4C3×H(5,𝔽2)11yescharacteristic
610C2×C4C3×2−1+411yescharacteristic
611C8—22no—
612C8—22no—
613C8—41no—
614C8—41no—
615C2×C3—44no—
616C2×C3—82no—
617C2×C3#244911yescharacteristic
618C2×C3#311111yescharacteristic
619C2×C3#312211yescharacteristic
620C2×C3#326811yescharacteristic
621C2×C3#327311yescharacteristic
622C2×C3#338911yescharacteristic
623C2×C3#338911yescharacteristic
624C22—24no—
625C22—42no—
626C22—42no—
627C22—42no—
628C22—42no—
629C22—42no—
630C22—42no—
631C22—42no—
632C22—42no—
633C22—42no—
634C22—81no—
635C22—81no—
636C22—81no—
637C22—81no—
638C22C3×#52511yescharacteristic
639C22C3×D4211yescharacteristic
640C22C3×D4×Q811yescharacteristic
641C22C3×#57511yescharacteristic
642C22C3×#57511yescharacteristic
643C22C3×#57611yescharacteristic
644C22C3×#57611yescharacteristic
645C4—41no—
646C4—41no—
647C4—41no—
648C4—41no—
649C4—42no—
650C4—41no—
651C4—41no—
652C4—42no—
653C4—81no—
654C4—81no—
655C4—81no—
656C4—81no—
657C4C2×C3×C22⋊Q811yescharacteristic
658C4C3×#53911yescharacteristic
659C4C3×#54711yescharacteristic
660C4C3×#55411yescharacteristic
661C3#2639411yescharacteristic, direct product factor, Sylow
662C2—44no—
663C2—82no—
664C2C3×#244911yescharacteristic
665C2C3×#311111yescharacteristic
666C2C3×#312211yescharacteristic
667C2C3×#326811yescharacteristic
668C2C3×#327311yescharacteristic
669C2C3×#338911yescharacteristic
670C2C3×#338911yescharacteristic
subgroupG/H
center, socleC23×C3C22×D4
commutator, Frattini, cosocleC22×C4C24×C3
prime radicalC22×C3×D8C22
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
1. C2×C3×#478C2semidirect
3. C3×#2454C2semidirect
4. C3×#2349C2semidirect
5. C3×#2092C2semidirect
6. C3×#2085C2semidirect
7. C3×#2067C2semidirect
8. C3×#2059C2semidirect
9. C3×#1943C2semidirect
10. C3×#1917C2semidirect
13. C3×#1862C2semidirect
14. C3×#1862C2semidirect
15. C3×#1862C2semidirect
16. #26394C3direct (N × H)
62. C2×#478C2×C3semidirect
64. #2454C2×C3semidirect
65. #2349C2×C3semidirect
66. #2092C2×C3semidirect
67. #2085C2×C3semidirect
68. #2067C2×C3semidirect
69. #2059C2×C3semidirect
70. #1943C2×C3semidirect
71. #1917C2×C3semidirect
74. #1862C2×C3semidirect
75. #1862C2×C3semidirect
76. #1862C2×C3semidirect
661. C3#26394direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C3×#4782
C2×C3×#4422
C3×#24542
C3×#23492
C3×#20922
C3×#20852
C3×#20672
C3×#20592
C3×#19432
C3×#19172
C3×#18792
C3×#18622
#263943