Finite Group Databasebeta

← C3×#14907 #10633514

Subgroups — C3×#14907 #10633514

Order 768.

1886 conjugacy classes of subgroups.

The subgroup lattice has 706 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C3×#117C211yesmaximal, characteristic
2C2×C3×#398C211yesmaximal, characteristic, complemented
3C2×C3×#397C211yesmaximal, characteristic
4C2×C3×#389C211yesmaximal, characteristic, complemented
5C2×C3×#385C212yesmaximal
6C3×#1441C211yesmaximal, characteristic, complemented
7C3×#1441C212yesmaximal, complemented
8C3×#1440C212yesmaximal
9C3×#1439C211yesmaximal, characteristic
10C3×#1436C212yesmaximal, complemented
11C3×#1434C211yesmaximal, characteristic, complemented
12#14907C311yesmaximal, characteristic, direct product factor, Sylow
13C24×C3×C4C2211yescharacteristic
14C2×C3×#117—24no—
15C2×C3×#117—24no—
16C2×C3×#117—24no—
17C22×C3×C4⋊C4C2211yescharacteristic
18C22×C3×C4⋊C4C2211yescharacteristic
19C22×C3×C4⋊C4C2212yes—
20C22×C3×C4⋊C4C2212yes—
21C22×C3×C4⋊C4C2211yescharacteristic
22C22×C3×C4⋊C4C2211yescharacteristic
23C22×C3×C22⋊C4C2211yescharacteristic
24C22×C3×C22⋊C4C2212yes—
25C22×C3×C22⋊C4C2212yes—
26C22×C3×C22⋊C4C2211yescharacteristic
27C22×C3×C42C2211yescharacteristic
28C22×C3×C42C2211yescharacteristic
29C3×#398—24no—
30C3×#397—24no—
31C3×#389—24no—
32C3×#385—28no—
33C2×C3×#95C2211yescharacteristic
34C2×C3×#95C2212yes—
35C2×C3×#95C2211yescharacteristic
36C2×C3×#95C2212yes—
37C2×C3×#95C2212yes—
38C2×C3×#95C2212yes—
39C2×C3×#95C2212yes—
40C2×C3×#95C2212yes—
41C2×C3×#95C2212yes—
42C2×C3×#95C2212yes—
43C22×#117C2×C311yescharacteristic
44C2×#398C2×C311yescharacteristic, complemented
45C2×#397C2×C311yescharacteristic
46C2×#389C2×C311yescharacteristic, complemented
47C2×#385C2×C312yes—
48#1441C2×C312yescomplemented
49#1441C2×C311yescharacteristic, complemented
50#1440C2×C312yes—
51#1439C2×C311yescharacteristic
52#1436C2×C312yescomplemented
53#1434C2×C311yescharacteristic, complemented
54C25×C3C2311yescharacteristic
55C23×C3×C4—22no—
56C23×C3×C4—22no—
57C23×C3×C4—22no—
58C23×C3×C4—22no—
59C23×C3×C4—22no—
60C23×C3×C4—22no—
61C23×C3×C4D414yes—
62C23×C3×C4C2312yes—
63C23×C3×C4C2312yes—
64C23×C3×C4C2311yescharacteristic
65C23×C3×C4C2311yescharacteristic
66C23×C3×C4C2311yescharacteristic
67C23×C3×C4C2312yes—
68C23×C3×C4C2312yes—
69C23×C3×C4C2311yescharacteristic
70C23×C3×C4C2311yescharacteristic
71C23×C3×C4C2311yescharacteristic
72C3×#117—232no—
73C2×C3×C4⋊C4—22no—
74C2×C3×C4⋊C4—22no—
75C2×C3×C4⋊C4—22no—
76C2×C3×C4⋊C4—22no—
77C2×C3×C4⋊C4—22no—
78C2×C3×C4⋊C4—22no—
79C2×C3×C4⋊C4—24no—
80C2×C3×C4⋊C4—24no—
81C2×C3×C4⋊C4—24no—
82C2×C3×C4⋊C4—22no—
83C2×C3×C4⋊C4—24no—
84C2×C3×C4⋊C4—22no—
85C2×C3×C4⋊C4—22no—
86C2×C3×C4⋊C4—24no—
87C2×C3×C4⋊C4—24no—
88C2×C3×C4⋊C4—24no—
89C2×C3×C4⋊C4D414yes—
90C2×C3×C22⋊C4—24no—
91C2×C3×C22⋊C4—22no—
92C2×C3×C22⋊C4—22no—
93C2×C3×C22⋊C4—22no—
94C2×C3×C22⋊C4—22no—
95C2×C3×C22⋊C4—22no—
96C2×C3×C22⋊C4—24no—
97C2×C3×C22⋊C4—24no—
98C2×C3×C22⋊C4—24no—
99C2×C3×C22⋊C4—24no—
100C2×C3×C22⋊C4—24no—
101C2×C3×C22⋊C4D414yes—
102C2×C3×C42—22no—
103C2×C3×C42—22no—
104C2×C3×C42—22no—
105C2×C3×C42—22no—
106C2×C3×C42—22no—
107C2×C3×C42D414yes—
108C3×#95—24no—
109C3×#95—24no—
110C3×#95—24no—
111C3×#95—22no—
112C3×#95—24no—
113C3×#95—22no—
114C3×#95—24no—
115C3×#95—24no—
116C3×#95—24no—
117C3×#95—24no—
118C24×C4C22×C311yescharacteristic
119C2×#117—24no—
120C2×#117—24no—
121C2×#117—24no—
122C22×C4⋊C4C22×C311yescharacteristic
123C22×C4⋊C4C22×C312yes—
124C22×C4⋊C4C22×C311yescharacteristic
125C22×C4⋊C4C22×C312yes—
126C22×C4⋊C4C22×C311yescharacteristic
127C22×C4⋊C4C22×C311yescharacteristic
128C22×C22⋊C4C22×C312yes—
129C22×C22⋊C4C22×C311yescharacteristic
130C22×C22⋊C4C22×C312yes—
131C22×C22⋊C4C22×C311yescharacteristic
132C22×C42C22×C311yescharacteristic
133C22×C42C22×C311yescharacteristic
134#398—24no—
135#397—24no—
136#389—24no—
137#385—28no—
138C2×#95C22×C311yescharacteristic
139C2×#95C22×C312yes—
140C2×#95C22×C311yescharacteristic
141C2×#95C22×C312yes—
142C2×#95C22×C312yes—
143C2×#95C22×C312yes—
144C2×#95C22×C312yes—
145C2×#95C22×C312yes—
146C2×#95C22×C312yes—
147C2×#95C22×C312yes—
148C24×C3—21no—
149C24×C3—21no—
150C24×C3—22no—
151C24×C3—22no—
152C24×C3—21no—
153C24×C3—21no—
154C24×C3—22no—
155C24×C3—22no—
156C24×C3C2×D412yes—
157C24×C3C2×D412yes—
158C24×C3#4112yes—
159C24×C3C2411yescharacteristic
160C22×C3×C4—28no—
161C22×C3×C4—28no—
162C22×C3×C4—28no—
163C22×C3×C4—28no—
164C22×C3×C4—28no—
165C22×C3×C4—21no—
166C22×C3×C4—21no—
167C22×C3×C4—21no—
168C22×C3×C4—21no—
169C22×C3×C4—22no—
170C22×C3×C4—21no—
171C22×C3×C4—21no—
172C22×C3×C4—21no—
173C22×C3×C4—21no—
174C22×C3×C4—22no—
175C22×C3×C4—28no—
176C22×C3×C4—28no—
177C22×C3×C4—22no—
178C22×C3×C4—22no—
179C22×C3×C4—22no—
180C22×C3×C4—22no—
181C22×C3×C4—21no—
182C22×C3×C4—21no—
183C22×C3×C4—21no—
184C22×C3×C4—21no—
185C22×C3×C4—21no—
186C22×C3×C4—21no—
187C22×C3×C4—22no—
188C22×C3×C4—22no—
189C22×C3×C4—22no—
190C22×C3×C4—22no—
191C22×C3×C4—22no—
192C22×C3×C4—22no—
193C22×C3×C4—22no—
194C22×C3×C4—22no—
195C22×C3×C4—22no—
196C22×C3×C4—22no—
197C22×C3×C4—22no—
198C22×C3×C4—22no—
199C22×C3×C4—22no—
200C22×C3×C4—22no—
201C22×C3×C4—22no—
202C22×C3×C4—22no—
203C22×C3×C4—22no—
204C22×C3×C4—22no—
205C22×C3×C4—22no—
206C22×C3×C4—22no—
207C22×C3×C4—22no—
208C22×C3×C4—22no—
209C22×C3×C4—22no—
210C22×C3×C4—22no—
211C22×C3×C4—22no—
212C22×C3×C4—22no—
213C22×C3×C4—22no—
214C22×C3×C4—22no—
215C22×C3×C4C2×D412yes—
216C22×C3×C4C2×D412yes—
217C22×C3×C4C2×D412yes—
218C22×C3×C4C2×D412yes—
219C22×C3×C4C2×D412yes—
220C22×C3×C4C2×D412yes—
221C22×C3×C4C2×D412yes—
222C22×C3×C4C2×D412yes—
223C22×C3×C4C2×D412yes—
224C22×C3×C4C2×D412yes—
225C22×C3×C4#4114yes—
226C22×C3×C4#4114yes—
227C22×C3×C4#4112yes—
228C22×C3×C4#4112yes—
229C3×C4⋊C4—28no—
230C3×C4⋊C4—28no—
231C3×C4⋊C4—28no—
232C3×C4⋊C4—44no—
233C3×C4⋊C4—48no—
234C3×C4⋊C4—48no—
235C3×C22⋊C4—216no—
236C3×C22⋊C4—28no—
237C3×C22⋊C4—28no—
238C3×C22⋊C4—48no—
239C3×C42—28no—
240C3×C42—28no—
241C25C23×C311yescharacteristic
242C23×C4—22no—
243C23×C4—22no—
244C23×C4—22no—
245C23×C4—22no—
246C23×C4—22no—
247C23×C4—22no—
248C23×C4C3×D414yes—
249C23×C4C23×C312yes—
250C23×C4C23×C312yes—
251C23×C4C23×C311yescharacteristic
252C23×C4C23×C311yescharacteristic
253C23×C4C23×C311yescharacteristic
254C23×C4C23×C312yes—
255C23×C4C23×C312yes—
256C23×C4C23×C311yescharacteristic
257C23×C4C23×C311yescharacteristic
258C23×C4C23×C311yescharacteristic
259#117—232no—
260C2×C4⋊C4—22no—
261C2×C4⋊C4—22no—
262C2×C4⋊C4—22no—
263C2×C4⋊C4—22no—
264C2×C4⋊C4—22no—
265C2×C4⋊C4—22no—
266C2×C4⋊C4—24no—
267C2×C4⋊C4—24no—
268C2×C4⋊C4—24no—
269C2×C4⋊C4—22no—
270C2×C4⋊C4—24no—
271C2×C4⋊C4—22no—
272C2×C4⋊C4—22no—
273C2×C4⋊C4—24no—
274C2×C4⋊C4—24no—
275C2×C4⋊C4—24no—
276C2×C4⋊C4C3×D414yes—
277C2×C22⋊C4—22no—
278C2×C22⋊C4—24no—
279C2×C22⋊C4—22no—
280C2×C22⋊C4—22no—
281C2×C22⋊C4—22no—
282C2×C22⋊C4—22no—
283C2×C22⋊C4—24no—
284C2×C22⋊C4—24no—
285C2×C22⋊C4—24no—
286C2×C22⋊C4—24no—
287C2×C22⋊C4—24no—
288C2×C22⋊C4C3×D414yes—
289C2×C42—22no—
290C2×C42—22no—
291C2×C42—22no—
292C2×C42—22no—
293C2×C42—22no—
294C2×C42C3×D414yes—
295#95—24no—
296#95—24no—
297#95—24no—
298#95—22no—
299#95—24no—
300#95—22no—
301#95—24no—
302#95—24no—
303#95—24no—
304#95—24no—
305C23×C3—22no—
306C23×C3—22no—
307C23×C3—22no—
308C23×C3—24no—
309C23×C3—22no—
310C23×C3—22no—
311C23×C3—22no—
312C23×C3—24no—
313C23×C3—24no—
314C23×C3—24no—
315C23×C3—24no—
316C23×C3—24no—
317C23×C3—41no—
318C23×C3—42no—
319C23×C3—41no—
320C23×C3—41no—
321C23×C3—41no—
322C23×C3—42no—
323C23×C3—42no—
324C23×C3—42no—
325C23×C3—42no—
326C23×C3—42no—
327C23×C3#12114yes—
328C23×C3C22×D411yescharacteristic
329C23×C3C22×D411yescharacteristic
330C23×C3C22×D411yescharacteristic
331C23×C3C22×D411yescharacteristic
332C23×C3C2×#4111yescharacteristic
333C23×C3C2×#4111yescharacteristic
334C23×C3C2×#4111yescharacteristic
335C23×C3C2×#4112yes—
336C23×C3C2×#4112yes—
337C23×C32−1+412yes—
338C23×C32−1+412yes—
339C2×C3×C4—232no—
340C2×C3×C4—22no—
341C2×C3×C4—22no—
342C2×C3×C4—22no—
343C2×C3×C4—22no—
344C2×C3×C4—22no—
345C2×C3×C4—22no—
346C2×C3×C4—22no—
347C2×C3×C4—22no—
348C2×C3×C4—22no—
349C2×C3×C4—22no—
350C2×C3×C4—22no—
351C2×C3×C4—22no—
352C2×C3×C4—22no—
353C2×C3×C4—22no—
354C2×C3×C4—24no—
355C2×C3×C4—24no—
356C2×C3×C4—22no—
357C2×C3×C4—22no—
358C2×C3×C4—22no—
359C2×C3×C4—24no—
360C2×C3×C4—24no—
361C2×C3×C4—24no—
362C2×C3×C4—24no—
363C2×C3×C4—22no—
364C2×C3×C4—22no—
365C2×C3×C4—24no—
366C2×C3×C4—24no—
367C2×C3×C4—24no—
368C2×C3×C4—24no—
369C2×C3×C4—42no—
370C2×C3×C4—42no—
371C2×C3×C4—42no—
372C2×C3×C4—41no—
373C2×C3×C4—42no—
374C2×C3×C4—42no—
375C2×C3×C4—41no—
376C2×C3×C4—41no—
377C2×C3×C4—42no—
378C2×C3×C4—41no—
379C2×C3×C4—42no—
380C2×C3×C4—42no—
381C2×C3×C4—42no—
382C2×C3×C4—42no—
383C2×C3×C4—42no—
384C2×C3×C4—42no—
385C2×C3×C4—42no—
386C2×C3×C4—42no—
387C2×C3×C4—42no—
388C2×C3×C4—42no—
389C2×C3×C4—42no—
390C2×C3×C4—42no—
391C2×C3×C4—42no—
392C2×C3×C4—42no—
393C2×C3×C4—42no—
394C2×C3×C4—42no—
395C2×C3×C4—42no—
396C2×C3×C4—42no—
397C2×C3×C4—42no—
398C2×C3×C4—42no—
399C2×C3×C4#12014yes—
400C2×C3×C4#12114yes—
401C2×C3×C4#12114yes—
402C24—21no—
403C24—21no—
404C24—22no—
405C24—22no—
406C24—21no—
407C24—21no—
408C24—22no—
409C24—22no—
410C24C2×C3×D412yes—
411C24C2×C3×D412yes—
412C24C3×#4112yes—
413C24C24×C311yescharacteristic
414C22×C4—28no—
415C22×C4—28no—
416C22×C4—28no—
417C22×C4—28no—
418C22×C4—28no—
419C22×C4—21no—
420C22×C4—21no—
421C22×C4—21no—
422C22×C4—21no—
423C22×C4—22no—
424C22×C4—21no—
425C22×C4—21no—
426C22×C4—21no—
427C22×C4—21no—
428C22×C4—22no—
429C22×C4—28no—
430C22×C4—28no—
431C22×C4—22no—
432C22×C4—22no—
433C22×C4—22no—
434C22×C4—22no—
435C22×C4—21no—
436C22×C4—21no—
437C22×C4—21no—
438C22×C4—21no—
439C22×C4—21no—
440C22×C4—21no—
441C22×C4—22no—
442C22×C4—22no—
443C22×C4—22no—
444C22×C4—22no—
445C22×C4—22no—
446C22×C4—22no—
447C22×C4—22no—
448C22×C4—22no—
449C22×C4—22no—
450C22×C4—22no—
451C22×C4—22no—
452C22×C4—22no—
453C22×C4—22no—
454C22×C4—22no—
455C22×C4—22no—
456C22×C4—22no—
457C22×C4—22no—
458C22×C4—22no—
459C22×C4—22no—
460C22×C4—22no—
461C22×C4—22no—
462C22×C4—22no—
463C22×C4—22no—
464C22×C4—22no—
465C22×C4—22no—
466C22×C4—22no—
467C22×C4—22no—
468C22×C4—22no—
469C22×C4C2×C3×D412yes—
470C22×C4C2×C3×D412yes—
471C22×C4C2×C3×D412yes—
472C22×C4C2×C3×D412yes—
473C22×C4C2×C3×D412yes—
474C22×C4C2×C3×D412yes—
475C22×C4C2×C3×D412yes—
476C22×C4C2×C3×D412yes—
477C22×C4C2×C3×D412yes—
478C22×C4C2×C3×D412yes—
479C22×C4C3×#4114yes—
480C22×C4C3×#4114yes—
481C22×C4C3×#4112yes—
482C22×C4C3×#4112yes—
483C4⋊C4—28no—
484C4⋊C4—28no—
485C4⋊C4—28no—
486C4⋊C4—44no—
487C4⋊C4—48no—
488C4⋊C4—48no—
489C22⋊C4—28no—
490C22⋊C4—216no—
491C22⋊C4—28no—
492C22⋊C4—48no—
493C42—28no—
494C42—28no—
495C22×C3—24no—
496C22×C3—28no—
497C22×C3—42no—
498C22×C3—42no—
499C22×C3—42no—
500C22×C3—42no—
501C22×C3—42no—
502C22×C3—44no—
503C22×C3—42no—
504C22×C3—44no—
505C22×C3—44no—
506C22×C3C2×#12011yescharacteristic
507C22×C3C2×#12111yescharacteristic
508C22×C3C2×#12111yescharacteristic
509C22×C3C2×#12111yescharacteristic
510C22×C3#52511yescharacteristic
511C22×C3#52511yescharacteristic
512C22×C3#52511yescharacteristic
513C22×C3#52511yescharacteristic
514C22×C3#52512yes—
515C22×C3#52912yes—
516C22×C3#53211yescharacteristic
517C22×C3#53611yescharacteristic
518C22×C3#53611yescharacteristic
519C22×C3#53612yes—
520C22×C3#54112yes—
521C22×C3#54712yes—
522C22×C3#54712yes—
523C22×C3#54712yes—
524C22×C3#54812yes—
525C22×C3#55212yes—
526C22×C3#55212yes—
527C22×C3#55212yes—
528C22×C3#55612yes—
529C3×C4—24no—
530C3×C4—24no—
531C3×C4—24no—
532C3×C4—44no—
533C3×C4—42no—
534C3×C4—44no—
535C3×C4—42no—
536C3×C4—42no—
537C3×C4—82no—
538C3×C4—82no—
539C23—22no—
540C23—22no—
541C23—22no—
542C23—24no—
543C23—22no—
544C23—22no—
545C23—22no—
546C23—24no—
547C23—24no—
548C23—24no—
549C23—24no—
550C23—24no—
551C23—41no—
552C23—42no—
553C23—41no—
554C23—41no—
555C23—41no—
556C23—42no—
557C23—42no—
558C23—42no—
559C23—42no—
560C23—42no—
561C23C3×#12114yes—
562C23C22×C3×D411yescharacteristic
563C23C22×C3×D411yescharacteristic
564C23C22×C3×D411yescharacteristic
565C23C22×C3×D411yescharacteristic
566C23C2×C3×#4111yescharacteristic
567C23C2×C3×#4111yescharacteristic
568C23C2×C3×#4111yescharacteristic
569C23C2×C3×#4112yes—
570C23C2×C3×#4112yes—
571C23C3×2−1+412yes—
572C23C3×2−1+412yes—
573C2×C4—232no—
574C2×C4—22no—
575C2×C4—22no—
576C2×C4—22no—
577C2×C4—22no—
578C2×C4—22no—
579C2×C4—22no—
580C2×C4—22no—
581C2×C4—22no—
582C2×C4—22no—
583C2×C4—22no—
584C2×C4—22no—
585C2×C4—22no—
586C2×C4—22no—
587C2×C4—22no—
588C2×C4—24no—
589C2×C4—24no—
590C2×C4—22no—
591C2×C4—22no—
592C2×C4—22no—
593C2×C4—24no—
594C2×C4—24no—
595C2×C4—24no—
596C2×C4—24no—
597C2×C4—22no—
598C2×C4—22no—
599C2×C4—24no—
600C2×C4—24no—
601C2×C4—24no—
602C2×C4—24no—
603C2×C4—42no—
604C2×C4—42no—
605C2×C4—42no—
606C2×C4—41no—
607C2×C4—42no—
608C2×C4—42no—
609C2×C4—41no—
610C2×C4—41no—
611C2×C4—42no—
612C2×C4—41no—
613C2×C4—42no—
614C2×C4—42no—
615C2×C4—42no—
616C2×C4—42no—
617C2×C4—42no—
618C2×C4—42no—
619C2×C4—42no—
620C2×C4—42no—
621C2×C4—42no—
622C2×C4—42no—
623C2×C4—42no—
624C2×C4—42no—
625C2×C4—42no—
626C2×C4—42no—
627C2×C4—42no—
628C2×C4—42no—
629C2×C4—42no—
630C2×C4—42no—
631C2×C4—42no—
632C2×C4—42no—
633C2×C4C3×#12014yes—
634C2×C4C3×#12114yes—
635C2×C4C3×#12114yes—
636C2×C3—44no—
637C2×C3#239211yescharacteristic
638C2×C3#240611yescharacteristic
639C2×C3#241312yes—
640C2×C3#241512yes—
641C2×C3#243211yescharacteristic
642C2×C3#247512yes—
643C2×C3#247812yes—
644C2×C3#259911yescharacteristic
645C2×C3#261111yescharacteristic
646C2×C3#262111yescharacteristic
647C2×C3#284711yescharacteristic
648C22—28no—
649C22—24no—
650C22—42no—
651C22—42no—
652C22—42no—
653C22—44no—
654C22—42no—
655C22—44no—
656C22—44no—
657C22—42no—
658C22—42no—
659C22C2×C3×#12011yescharacteristic
660C22C2×C3×#12111yescharacteristic
661C22C2×C3×#12111yescharacteristic
662C22C2×C3×#12111yescharacteristic
663C22C3×#52511yescharacteristic
664C22C3×#52512yes—
665C22C3×#52511yescharacteristic
666C22C3×#52511yescharacteristic
667C22C3×#52511yescharacteristic
668C22C3×#52912yes—
669C22C3×#53211yescharacteristic
670C22C3×#53611yescharacteristic
671C22C3×#53612yes—
672C22C3×#53611yescharacteristic
673C22C3×#54112yes—
674C22C3×#54712yes—
675C22C3×#54712yes—
676C22C3×#54712yes—
677C22C3×#54812yes—
678C22C3×#55212yes—
679C22C3×#55212yes—
680C22C3×#55212yes—
681C22C3×#55612yes—
682C4—24no—
683C4—24no—
684C4—24no—
685C4—44no—
686C4—42no—
687C4—44no—
688C4—42no—
689C4—42no—
690C4—82no—
691C4—82no—
692C3#1490711yescharacteristic, direct product factor, Sylow
693C2—44no—
694C2C3×#239211yescharacteristic
695C2C3×#240611yescharacteristic
696C2C3×#241312yes—
697C2C3×#241512yes—
698C2C3×#243211yescharacteristic
699C2C3×#247512yes—
700C2C3×#247812yes—
701C2C3×#259911yescharacteristic
702C2C3×#261111yescharacteristic
703C2C3×#262111yescharacteristic
704C2C3×#284711yescharacteristic
subgroupG/H
center, socleC24×C3C24
commutator, Frattini, cosocleC24C24×C3
prime radicalC25×C3C23
LCSG ▷ C24 ▷ C1
UCSC1 ◁ C24×C3 ◁ G

Complements

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

NH ≅ G/Ntype
2. C2×C3×#398C2semidirect
4. C2×C3×#389C2semidirect
6. C3×#1441C2semidirect
7. C3×#1441C2semidirect
10. C3×#1436C2semidirect
11. C3×#1434C2semidirect
12. #14907C3direct (N × H)
44. C2×#398C2×C3semidirect
46. C2×#389C2×C3semidirect
48. #1441C2×C3semidirect
49. #1441C2×C3semidirect
52. #1436C2×C3semidirect
53. #1434C2×C3semidirect
692. C3#14907direct (N × H)

Maximal subgroups

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

subgroupindex
C22×C3×#1172
C2×C3×#3982
C2×C3×#3972
C2×C3×#3892
C2×C3×#3852
C3×#14412
C3×#14402
C3×#14392
C3×#14362
C3×#14342
#149073