Finite Group Databasebeta

← C3×#15130 #10633737

Subgroups — C3×#15130 #10633737

Order 768.

2590 conjugacy classes of subgroups.

The subgroup lattice has 730 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C3×#121C211yesmaximal, characteristic
2C2×C3×#394C214yesmaximal, complemented
3C2×C3×#390C211yesmaximal, characteristic, complemented
4C2×C3×#390C211yesmaximal, characteristic, complemented
5C2×C3×#384C211yesmaximal, characteristic, complemented
6C2×C3×#380C211yesmaximal, characteristic, complemented
7C2×C3×C4×C22⋊C4C211yesmaximal, characteristic, complemented
8C3×#1439C214yesmaximal, complemented
9C3×C4⋊#95C211yesmaximal, characteristic, complemented
10#15130C311yesmaximal, characteristic, direct product factor, Sylow
11C23×C3×D4C2211yescharacteristic
12C23×C3×D4C2212yes—
13C24×C3×C4C2211yescharacteristic
14C2×C3×#121—24no—
15C2×C3×#121—24no—
16C2×C3×#121—24no—
17C22×C3×C4⋊C4C2211yescharacteristic
18C22×C3×C4⋊C4C2211yescharacteristic
19C22×C3×C4⋊C4C2214yes—
20C22×C3×C4⋊C4C2211yescharacteristic
21C22×C3×C22⋊C4C2212yes—
22C22×C3×C22⋊C4C2212yes—
23C22×C3×C22⋊C4C2214yes—
24C22×C3×C22⋊C4C2214yes—
25C22×C3×C22⋊C4C2212yes—
26C22×C3×C42C2211yescharacteristic
27C22×C3×C42C2211yescharacteristic
28C3×#394—216no—
29C3×#390—24no—
30C3×#390—24no—
31C3×#384—24no—
32C3×#380—24no—
33C3×C4×C22⋊C4—24no—
34C2×C3×#95C2214yes—
35C2×C3×#95C2212yes—
36C2×C3×#95C2212yes—
37C22×#121C2×C311yescharacteristic
38C2×#394C2×C314yescomplemented
39C2×#390C2×C311yescharacteristic, complemented
40C2×#390C2×C311yescharacteristic, complemented
41C2×#384C2×C311yescharacteristic, complemented
42C2×#380C2×C311yescharacteristic, complemented
43C2×C4×C22⋊C4C2×C311yescharacteristic, complemented
44#1439C2×C314yescomplemented
45C4⋊#95C2×C311yescharacteristic, complemented
46C25×C3C2312yes—
47C25×C3C2311yescharacteristic
48C22×C3×D4—24no—
49C22×C3×D4—24no—
50C22×C3×D4—28no—
51C22×C3×D4—22no—
52C22×C3×D4—24no—
53C22×C3×D4—22no—
54C22×C3×D4—22no—
55C22×C3×D4—22no—
56C22×C3×D4—22no—
57C22×C3×D4—22no—
58C22×C3×D4—44no—
59C22×C3×D4D414yes—
60C23×C3×C4—22no—
61C23×C3×C4—22no—
62C23×C3×C4—22no—
63C23×C3×C4—22no—
64C23×C3×C4—22no—
65C23×C3×C4—22no—
66C23×C3×C4D414yes—
67C23×C3×C4C2312yes—
68C23×C3×C4C2312yes—
69C23×C3×C4C2311yescharacteristic
70C23×C3×C4C2312yes—
71C23×C3×C4C2312yes—
72C23×C3×C4C2312yes—
73C23×C3×C4C2311yescharacteristic
74C3×#121—232no—
75C2×C3×C4⋊C4—22no—
76C2×C3×C4⋊C4—22no—
77C2×C3×C4⋊C4—22no—
78C2×C3×C4⋊C4—22no—
79C2×C3×C4⋊C4—28no—
80C2×C3×C4⋊C4—22no—
81C2×C3×C4⋊C4—22no—
82C2×C3×C4⋊C4—22no—
83C2×C3×C4⋊C4—28no—
84C2×C3×C4⋊C4—22no—
85C2×C3×C4⋊C4—44no—
86C2×C3×C4⋊C4D414yes—
87C2×C3×C22⋊C4—24no—
88C2×C3×C22⋊C4—24no—
89C2×C3×C22⋊C4—24no—
90C2×C3×C22⋊C4—24no—
91C2×C3×C22⋊C4—24no—
92C2×C3×C22⋊C4—24no—
93C2×C3×C22⋊C4—28no—
94C2×C3×C22⋊C4—28no—
95C2×C3×C22⋊C4—28no—
96C2×C3×C22⋊C4—28no—
97C2×C3×C22⋊C4—28no—
98C2×C3×C22⋊C4—28no—
99C2×C3×C22⋊C4—44no—
100C2×C3×C22⋊C4D418yescomplemented
101C2×C3×C42—22no—
102C2×C3×C42—22no—
103C2×C3×C42—22no—
104C2×C3×C42—22no—
105C2×C3×C42—22no—
106C2×C3×C42D414yescomplemented
107C3×#95—24no—
108C3×#95—24no—
109C3×#95—28no—
110C23×D4C22×C311yescharacteristic
111C23×D4C22×C312yes—
112C24×C4C22×C311yescharacteristic
113C2×#121—24no—
114C2×#121—24no—
115C2×#121—24no—
116C22×C4⋊C4C22×C311yescharacteristic
117C22×C4⋊C4C22×C311yescharacteristic
118C22×C4⋊C4C22×C314yes—
119C22×C4⋊C4C22×C311yescharacteristic
120C22×C22⋊C4C22×C312yes—
121C22×C22⋊C4C22×C314yes—
122C22×C22⋊C4C22×C312yes—
123C22×C22⋊C4C22×C314yes—
124C22×C22⋊C4C22×C312yes—
125C22×C42C22×C311yescharacteristic
126C22×C42C22×C311yescharacteristic
127#394—216no—
128#390—24no—
129#390—24no—
130#384—24no—
131#380—24no—
132C4×C22⋊C4—24no—
133C2×#95C22×C314yes—
134C2×#95C22×C312yes—
135C2×#95C22×C312yes—
136C24×C3—21no—
137C24×C3—21no—
138C24×C3—21no—
139C24×C3—22no—
140C24×C3—21no—
141C24×C3—21no—
142C24×C3—21no—
143C24×C3—22no—
144C24×C3—22no—
145C24×C3—22no—
146C24×C3—24no—
147C24×C3—22no—
148C24×C3—22no—
149C24×C3—24no—
150C24×C3—22no—
151C24×C3—22no—
152C24×C3—22no—
153C24×C3—24no—
154C24×C3—24no—
155C24×C3C2×D414yes—
156C24×C3C2×D414yes—
157C24×C3C2×D412yes—
158C24×C3C2411yescharacteristic
159C2×C3×D4—216no—
160C2×C3×D4—28no—
161C2×C3×D4—28no—
162C2×C3×D4—28no—
163C2×C3×D4—416no—
164C2×C3×D4—416no—
165C2×C3×D4—48no—
166C2×C3×D4—48no—
167C2×C3×D4—44no—
168C2×C3×D4—44no—
169C2×C3×D4—44no—
170C2×C3×D4—44no—
171C22×C3×C4—22no—
172C22×C3×C4—22no—
173C22×C3×C4—22no—
174C22×C3×C4—22no—
175C22×C3×C4—21no—
176C22×C3×C4—22no—
177C22×C3×C4—24no—
178C22×C3×C4—22no—
179C22×C3×C4—21no—
180C22×C3×C4—21no—
181C22×C3×C4—22no—
182C22×C3×C4—22no—
183C22×C3×C4—22no—
184C22×C3×C4—22no—
185C22×C3×C4—21no—
186C22×C3×C4—21no—
187C22×C3×C4—21no—
188C22×C3×C4—22no—
189C22×C3×C4—24no—
190C22×C3×C4—22no—
191C22×C3×C4—28no—
192C22×C3×C4—28no—
193C22×C3×C4—28no—
194C22×C3×C4—24no—
195C22×C3×C4—22no—
196C22×C3×C4—22no—
197C22×C3×C4—22no—
198C22×C3×C4—22no—
199C22×C3×C4—24no—
200C22×C3×C4—22no—
201C22×C3×C4—24no—
202C22×C3×C4—22no—
203C22×C3×C4—24no—
204C22×C3×C4—44no—
205C22×C3×C4—44no—
206C22×C3×C4—44no—
207C22×C3×C4—44no—
208C22×C3×C4C2×D414yes—
209C22×C3×C4C2×D412yes—
210C22×C3×C4C2×D414yes—
211C22×C3×C4C2×D414yes—
212C22×C3×C4C2×D414yes—
213C22×C3×C4C2×D412yes—
214C22×C3×C4C2×D412yes—
215C22×C3×C4C2×D412yes—
216C22×C3×C4C2×D412yes—
217C22×C3×C4#4114yes—
218C22×C3×C4#4112yes—
219C22×C3×C4#4112yes—
220C22×C3×C4#4112yes—
221C3×C4⋊C4—28no—
222C3×C4⋊C4—416no—
223C3×C4⋊C4—44no—
224C3×C4⋊C4—44no—
225C3×C22⋊C4—216no—
226C3×C22⋊C4—216no—
227C3×C22⋊C4—416no—
228C3×C22⋊C4—48no—
229C3×C22⋊C4—416no—
230C3×C42—28no—
231C3×C42—44no—
232C25C23×C312yes—
233C25C23×C311yescharacteristic
234C22×D4—24no—
235C22×D4—24no—
236C22×D4—28no—
237C22×D4—24no—
238C22×D4—22no—
239C22×D4—22no—
240C22×D4—22no—
241C22×D4—22no—
242C22×D4—22no—
243C22×D4—22no—
244C22×D4—44no—
245C22×D4C3×D414yes—
246C23×C4—22no—
247C23×C4—22no—
248C23×C4—22no—
249C23×C4—22no—
250C23×C4—22no—
251C23×C4—22no—
252C23×C4C3×D414yes—
253C23×C4C23×C312yes—
254C23×C4C23×C312yes—
255C23×C4C23×C312yes—
256C23×C4C23×C311yescharacteristic
257C23×C4C23×C312yes—
258C23×C4C23×C312yes—
259C23×C4C23×C311yescharacteristic
260#121—232no—
261C2×C4⋊C4—22no—
262C2×C4⋊C4—22no—
263C2×C4⋊C4—22no—
264C2×C4⋊C4—22no—
265C2×C4⋊C4—28no—
266C2×C4⋊C4—22no—
267C2×C4⋊C4—22no—
268C2×C4⋊C4—22no—
269C2×C4⋊C4—28no—
270C2×C4⋊C4—22no—
271C2×C4⋊C4—44no—
272C2×C4⋊C4C3×D414yes—
273C2×C22⋊C4—24no—
274C2×C22⋊C4—24no—
275C2×C22⋊C4—24no—
276C2×C22⋊C4—24no—
277C2×C22⋊C4—24no—
278C2×C22⋊C4—24no—
279C2×C22⋊C4—28no—
280C2×C22⋊C4—28no—
281C2×C22⋊C4—28no—
282C2×C22⋊C4—28no—
283C2×C22⋊C4—28no—
284C2×C22⋊C4—28no—
285C2×C22⋊C4—44no—
286C2×C22⋊C4C3×D418yescomplemented
287C2×C42—22no—
288C2×C42—22no—
289C2×C42—22no—
290C2×C42—22no—
291C2×C42—22no—
292C2×C42C3×D414yescomplemented
293#95—24no—
294#95—24no—
295#95—28no—
296C23×C3—22no—
297C23×C3—24no—
298C23×C3—22no—
299C23×C3—22no—
300C23×C3—24no—
301C23×C3—22no—
302C23×C3—22no—
303C23×C3—22no—
304C23×C3—24no—
305C23×C3—24no—
306C23×C3—24no—
307C23×C3—24no—
308C23×C3—24no—
309C23×C3—24no—
310C23×C3—24no—
311C23×C3—28no—
312C23×C3—28no—
313C23×C3—41no—
314C23×C3—41no—
315C23×C3—41no—
316C23×C3—41no—
317C23×C3—42no—
318C23×C3—42no—
319C23×C3—42no—
320C23×C3—42no—
321C23×C3—42no—
322C23×C3—42no—
323C23×C3—44no—
324C23×C3—42no—
325C23×C3—42no—
326C23×C3—42no—
327C23×C3—42no—
328C23×C3—42no—
329C23×C3—44no—
330C23×C3—42no—
331C23×C3—42no—
332C23×C3—42no—
333C23×C3—44no—
334C23×C3—44no—
335C23×C3—44no—
336C23×C3—44no—
337C23×C3—44no—
338C23×C3—44no—
339C23×C3—44no—
340C23×C3—44no—
341C23×C3#12714yes—
342C23×C3C22×D411yescharacteristic
343C23×C3C22×D411yescharacteristic
344C23×C3C22×D411yescharacteristic
345C23×C3C22×D411yescharacteristic
346C23×C3C22×D412yes—
347C23×C3C2×#4111yescharacteristic
348C23×C3C2×#4111yescharacteristic
349C23×C3C2×#4111yescharacteristic
350C23×C3C2×#4112yes—
351C23×C3H(5,𝔽2)12yes—
352C23×C32−1+412yes—
353C3×D4—432no—
354C3×D4—416no—
355C2×C3×C4—24no—
356C2×C3×C4—24no—
357C2×C3×C4—24no—
358C2×C3×C4—24no—
359C2×C3×C4—24no—
360C2×C3×C4—24no—
361C2×C3×C4—22no—
362C2×C3×C4—24no—
363C2×C3×C4—24no—
364C2×C3×C4—22no—
365C2×C3×C4—22no—
366C2×C3×C4—24no—
367C2×C3×C4—28no—
368C2×C3×C4—24no—
369C2×C3×C4—42no—
370C2×C3×C4—41no—
371C2×C3×C4—41no—
372C2×C3×C4—41no—
373C2×C3×C4—41no—
374C2×C3×C4—42no—
375C2×C3×C4—42no—
376C2×C3×C4—42no—
377C2×C3×C4—44no—
378C2×C3×C4—42no—
379C2×C3×C4—42no—
380C2×C3×C4—416no—
381C2×C3×C4—42no—
382C2×C3×C4—44no—
383C2×C3×C4—42no—
384C2×C3×C4—42no—
385C2×C3×C4—42no—
386C2×C3×C4—44no—
387C2×C3×C4—42no—
388C2×C3×C4—42no—
389C2×C3×C4—44no—
390C2×C3×C4—44no—
391C2×C3×C4#12014yes—
392C2×C3×C4#12114yes—
393C2×C3×C4#12114yes—
394C2×C3×C4#12114yes—
395C2×C3×C4#12118yescomplemented
396C2×C3×C4#12314yes—
397C2×C3×C4#12314yes—
398C2×C3×C4#12414yes—
399C24—21no—
400C24—21no—
401C24—21no—
402C24—22no—
403C24—21no—
404C24—21no—
405C24—21no—
406C24—22no—
407C24—22no—
408C24—22no—
409C24—24no—
410C24—22no—
411C24—22no—
412C24—24no—
413C24—22no—
414C24—22no—
415C24—22no—
416C24—24no—
417C24—24no—
418C24C2×C3×D414yes—
419C24C2×C3×D414yes—
420C24C2×C3×D412yes—
421C24C24×C311yescharacteristic
422C2×D4—216no—
423C2×D4—28no—
424C2×D4—28no—
425C2×D4—28no—
426C2×D4—416no—
427C2×D4—416no—
428C2×D4—48no—
429C2×D4—48no—
430C2×D4—44no—
431C2×D4—44no—
432C2×D4—44no—
433C2×D4—44no—
434C22×C4—22no—
435C22×C4—22no—
436C22×C4—22no—
437C22×C4—22no—
438C22×C4—21no—
439C22×C4—22no—
440C22×C4—24no—
441C22×C4—22no—
442C22×C4—21no—
443C22×C4—21no—
444C22×C4—22no—
445C22×C4—22no—
446C22×C4—22no—
447C22×C4—22no—
448C22×C4—21no—
449C22×C4—21no—
450C22×C4—21no—
451C22×C4—22no—
452C22×C4—24no—
453C22×C4—22no—
454C22×C4—28no—
455C22×C4—28no—
456C22×C4—28no—
457C22×C4—24no—
458C22×C4—22no—
459C22×C4—22no—
460C22×C4—22no—
461C22×C4—22no—
462C22×C4—24no—
463C22×C4—22no—
464C22×C4—24no—
465C22×C4—22no—
466C22×C4—24no—
467C22×C4—44no—
468C22×C4—44no—
469C22×C4—44no—
470C22×C4—44no—
471C22×C4C2×C3×D414yes—
472C22×C4C2×C3×D412yes—
473C22×C4C2×C3×D414yes—
474C22×C4C2×C3×D414yes—
475C22×C4C2×C3×D414yes—
476C22×C4C2×C3×D412yes—
477C22×C4C2×C3×D412yes—
478C22×C4C2×C3×D412yes—
479C22×C4C2×C3×D412yes—
480C22×C4C3×#4114yes—
481C22×C4C3×#4112yes—
482C22×C4C3×#4112yes—
483C22×C4C3×#4112yes—
484C4⋊C4—28no—
485C4⋊C4—416no—
486C4⋊C4—44no—
487C4⋊C4—44no—
488C22⋊C4—216no—
489C22⋊C4—216no—
490C22⋊C4—416no—
491C22⋊C4—48no—
492C22⋊C4—416no—
493C42—28no—
494C42—44no—
495C22×C3—24no—
496C22×C3—24no—
497C22×C3—24no—
498C22×C3—42no—
499C22×C3—42no—
500C22×C3—44no—
501C22×C3—44no—
502C22×C3—42no—
503C22×C3—44no—
504C22×C3—42no—
505C22×C3—44no—
506C22×C3—44no—
507C22×C3—48no—
508C22×C3—44no—
509C22×C3—44no—
510C22×C3—48no—
511C22×C3—82no—
512C22×C3—82no—
513C22×C3—84no—
514C22×C3—84no—
515C22×C3—82no—
516C22×C3—82no—
517C22×C3C2×#12011yescharacteristic
518C22×C3C2×#12111yescharacteristic
519C22×C3C2×#12112yes—
520C22×C3C2×#12111yescharacteristic
521C22×C3C2×#12111yescharacteristic
522C22×C3C2×#12311yescharacteristic
523C22×C3C2×#12311yescharacteristic
524C22×C3C2×#12411yescharacteristic
525C22×C3C2×#12711yescharacteristic
526C22×C3#53212yes—
527C22×C3#53211yescharacteristic
528C22×C3#53511yescharacteristic
529C22×C3#53611yescharacteristic
530C22×C3#53712yes—
531C22×C3#54212yes—
532C22×C3D4212yes—
533C22×C3D4212yes—
534C22×C3#54712yes—
535C22×C3#54712yes—
536C22×C3#54712yes—
537C22×C3#54812yes—
538C22×C3#55312yes—
539C22×C3#55512yes—
540C3×C4—28no—
541C3×C4—42no—
542C3×C4—44no—
543C3×C4—44no—
544C3×C4—82no—
545C3×C4—82no—
546C3×C4#39418yescomplemented
547C23—22no—
548C23—24no—
549C23—22no—
550C23—22no—
551C23—24no—
552C23—22no—
553C23—22no—
554C23—22no—
555C23—24no—
556C23—24no—
557C23—24no—
558C23—24no—
559C23—24no—
560C23—24no—
561C23—24no—
562C23—28no—
563C23—28no—
564C23—41no—
565C23—41no—
566C23—41no—
567C23—41no—
568C23—42no—
569C23—42no—
570C23—42no—
571C23—42no—
572C23—42no—
573C23—42no—
574C23—44no—
575C23—42no—
576C23—42no—
577C23—42no—
578C23—42no—
579C23—42no—
580C23—44no—
581C23—42no—
582C23—42no—
583C23—42no—
584C23—44no—
585C23—44no—
586C23—44no—
587C23—44no—
588C23—44no—
589C23—44no—
590C23—44no—
591C23—44no—
592C23C3×#12714yes—
593C23C22×C3×D411yescharacteristic
594C23C22×C3×D411yescharacteristic
595C23C22×C3×D411yescharacteristic
596C23C22×C3×D411yescharacteristic
597C23C22×C3×D412yes—
598C23C2×C3×#4111yescharacteristic
599C23C2×C3×#4111yescharacteristic
600C23C2×C3×#4111yescharacteristic
601C23C2×C3×#4112yes—
602C23C3×H(5,𝔽2)12yes—
603C23C3×2−1+412yes—
604D4—432no—
605D4—416no—
606C2×C4—24no—
607C2×C4—24no—
608C2×C4—24no—
609C2×C4—24no—
610C2×C4—24no—
611C2×C4—24no—
612C2×C4—22no—
613C2×C4—24no—
614C2×C4—24no—
615C2×C4—22no—
616C2×C4—22no—
617C2×C4—24no—
618C2×C4—28no—
619C2×C4—24no—
620C2×C4—42no—
621C2×C4—41no—
622C2×C4—41no—
623C2×C4—41no—
624C2×C4—41no—
625C2×C4—42no—
626C2×C4—42no—
627C2×C4—42no—
628C2×C4—44no—
629C2×C4—42no—
630C2×C4—42no—
631C2×C4—416no—
632C2×C4—42no—
633C2×C4—44no—
634C2×C4—42no—
635C2×C4—42no—
636C2×C4—42no—
637C2×C4—44no—
638C2×C4—42no—
639C2×C4—42no—
640C2×C4—44no—
641C2×C4—44no—
642C2×C4C3×#12014yes—
643C2×C4C3×#12114yes—
644C2×C4C3×#12114yes—
645C2×C4C3×#12114yes—
646C2×C4C3×#12118yescomplemented
647C2×C4C3×#12314yes—
648C2×C4C3×#12314yes—
649C2×C4C3×#12414yes—
650C2×C3—44no—
651C2×C3—84no—
652C2×C3C2×#39411yescharacteristic
653C2×C3#241612yes—
654C2×C3#242212yes—
655C2×C3#243211yescharacteristic
656C2×C3#243311yescharacteristic
657C2×C3#249112yes—
658C2×C3#250011yescharacteristic
659C2×C3#250111yescharacteristic
660C2×C3#253712yes—
661C2×C3#262011yescharacteristic
662C2×C3#285611yescharacteristic
663C22—24no—
664C22—24no—
665C22—24no—
666C22—42no—
667C22—42no—
668C22—44no—
669C22—44no—
670C22—42no—
671C22—44no—
672C22—42no—
673C22—44no—
674C22—44no—
675C22—48no—
676C22—44no—
677C22—44no—
678C22—48no—
679C22—82no—
680C22—84no—
681C22—84no—
682C22—82no—
683C22—82no—
684C22—82no—
685C22C2×C3×#12011yescharacteristic
686C22C2×C3×#12111yescharacteristic
687C22C2×C3×#12111yescharacteristic
688C22C2×C3×#12111yescharacteristic
689C22C2×C3×#12112yes—
690C22C2×C3×#12311yescharacteristic
691C22C2×C3×#12311yescharacteristic
692C22C2×C3×#12411yescharacteristic
693C22C2×C3×#12711yescharacteristic
694C22C3×#53212yes—
695C22C3×#53211yescharacteristic
696C22C3×#53511yescharacteristic
697C22C3×#53611yescharacteristic
698C22C3×#53712yes—
699C22C3×#54212yes—
700C22C3×D4212yes—
701C22C3×D4212yes—
702C22C3×#54712yes—
703C22C3×#54712yes—
704C22C3×#54712yes—
705C22C3×#54812yes—
706C22C3×#55312yes—
707C22C3×#55512yes—
708C4—28no—
709C4—42no—
710C4—44no—
711C4—44no—
712C4—82no—
713C4—82no—
714C4C3×#39418yescomplemented
715C3#1513011yescharacteristic, direct product factor, Sylow
716C2—44no—
717C2—84no—
718C2C2×C3×#39411yescharacteristic
719C2C3×#241612yes—
720C2C3×#242212yes—
721C2C3×#243211yescharacteristic
722C2C3×#243311yescharacteristic
723C2C3×#249112yes—
724C2C3×#250011yescharacteristic
725C2C3×#250111yescharacteristic
726C2C3×#253712yes—
727C2C3×#262011yescharacteristic
728C2C3×#285611yescharacteristic
subgroupG/H
center, socleC24×C3C24
commutator, Frattini, cosocleC24C24×C3
prime radicalC22×C3×#121C2
LCSG ▷ C24 ▷ C1
UCSC1 ◁ C24×C3 ◁ G

Complements

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

NH ≅ G/Ntype
2. C2×C3×#394C2semidirect
3. C2×C3×#390C2semidirect
4. C2×C3×#390C2semidirect
5. C2×C3×#384C2semidirect
6. C2×C3×#380C2semidirect
7. C2×C3×C4×C22⋊C4C2semidirect
8. C3×#1439C2semidirect
9. C3×C4⋊#95C2semidirect
10. #15130C3direct (N × H)
38. C2×#394C2×C3semidirect
39. C2×#390C2×C3semidirect
40. C2×#390C2×C3semidirect
41. C2×#384C2×C3semidirect
42. C2×#380C2×C3semidirect
43. C2×C4×C22⋊C4C2×C3semidirect
44. #1439C2×C3semidirect
45. C4⋊#95C2×C3semidirect
100. C2×C3×C22⋊C4D4semidirect
106. C2×C3×C42D4semidirect
286. C2×C22⋊C4C3×D4semidirect
292. C2×C42C3×D4semidirect
395. C2×C3×C4#121semidirect
546. C3×C4#394semidirect
646. C2×C4C3×#121semidirect
714. C4C3×#394semidirect
715. C3#15130direct (N × H)

Maximal subgroups

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

subgroupindex
C22×C3×#1212
C2×C3×#3942
C2×C3×#3902
C2×C3×#3842
C2×C3×#3802
C2×C3×C4×C22⋊C42
C3×#14392
C3×C4⋊#952
#151303