Finite Group Databasebeta

← C3×#14172 #10632779

Subgroups — C3×#14172 #10632779

Order 768.

2062 conjugacy classes of subgroups.

The subgroup lattice has 682 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C3×C4×Q8C211yesmaximal, characteristic, complemented
2C2×C3×#393C211yesmaximal, characteristic
3C2×C3×#385C212yesmaximal
4C2×C3×C4×C22⋊C4C211yesmaximal, characteristic
5C3×#1446C211yesmaximal, characteristic, complemented
6C3×#1444C211yesmaximal, characteristic, complemented
7C3×#1439C211yesmaximal, characteristic
8C3×#1437C212yesmaximal
9C3×#1436C212yesmaximal, complemented
10C3×#1436C212yesmaximal, complemented
11C3×#1434C211yesmaximal, characteristic, complemented
12#14172C311yesmaximal, characteristic, direct product factor, Sylow
13C23×C3×Q8C2211yescharacteristic
14C24×C3×C4C2211yescharacteristic
15C2×C3×C4×Q8—28no—
16C2×C3×C4×Q8—24no—
17C22×C3×C4⋊C4C2211yescharacteristic
18C22×C3×C4⋊C4C2212yes—
19C22×C3×C4⋊C4C2212yes—
20C22×C3×C22⋊C4C2212yes—
21C22×C3×C22⋊C4C2211yescharacteristic
22C22×C3×C22⋊C4C2212yes—
23C22×C3×C22⋊C4C2211yescharacteristic
24C22×C3×C42C2212yes—
25C22×C3×C42C2211yescharacteristic
26C22×C3×C42C2211yescharacteristic
27C3×#393C418yescomplemented
28C3×#385—28no—
29C3×C4×C22⋊C4—24no—
30C2×C3×#95C2211yescharacteristic
31C2×C3×#95C2211yescharacteristic
32C2×C3×#95C2212yes—
33C2×C3×#95C2212yes—
34C2×C3×#95C2212yes—
35C2×C3×#95C2211yescharacteristic
36C2×C3×#95C2212yes—
37C2×C3×#95C2212yes—
38C2×C3×#95C2212yes—
39C2×C3×#95C2211yescharacteristic
40C2×C3×#95C2212yes—
41C22×C4×Q8C2×C311yescharacteristic, complemented
42C2×#393C2×C311yescharacteristic
43C2×#385C2×C312yes—
44C2×C4×C22⋊C4C2×C311yescharacteristic
45#1446C2×C311yescharacteristic, complemented
46#1444C2×C311yescharacteristic, complemented
47#1439C2×C311yescharacteristic
48#1437C2×C312yes—
49#1436C2×C312yescomplemented
50#1436C2×C312yescomplemented
51#1434C2×C311yescharacteristic, complemented
52C25×C3C2311yescharacteristic
53C22×C3×Q8—24no—
54C22×C3×Q8—22no—
55C22×C3×Q8—22no—
56C22×C3×Q8—24no—
57C22×C3×Q8C2×C414yescomplemented
58C23×C3×C4—22no—
59C23×C3×C4—22no—
60C23×C3×C4—22no—
61C23×C3×C4—24no—
62C23×C3×C4—42no—
63C23×C3×C4C2312yes—
64C23×C3×C4C2311yescharacteristic
65C23×C3×C4C2312yes—
66C23×C3×C4C2312yes—
67C23×C3×C4C2311yescharacteristic
68C23×C3×C4C2311yescharacteristic
69C23×C3×C4C2312yes—
70C23×C3×C4C2311yescharacteristic
71C23×C3×C4C2311yescharacteristic
72C23×C3×C4C2311yescharacteristic
73C3×C4×Q8—232no—
74C2×C3×C4⋊C4—24no—
75C2×C3×C4⋊C4—22no—
76C2×C3×C4⋊C4—24no—
77C2×C3×C4⋊C4—24no—
78C2×C3×C4⋊C4—24no—
79C2×C3×C4⋊C4—24no—
80C2×C3×C4⋊C4—42no—
81C2×C3×C4⋊C4D418yes—
82C2×C3×C22⋊C4—22no—
83C2×C3×C22⋊C4—22no—
84C2×C3×C22⋊C4—24no—
85C2×C3×C22⋊C4—22no—
86C2×C3×C22⋊C4—24no—
87C2×C3×C22⋊C4—22no—
88C2×C3×C22⋊C4—24no—
89C2×C3×C22⋊C4—24no—
90C2×C3×C22⋊C4—42no—
91C2×C3×C22⋊C4C2×C414yes—
92C2×C3×C22⋊C4C2×C418yes—
93C2×C3×C22⋊C4Q814yescomplemented
94C2×C3×C42—24no—
95C2×C3×C42—24no—
96C2×C3×C42—24no—
97C2×C3×C42—24no—
98C2×C3×C42—22no—
99C2×C3×C42—42no—
100C2×C3×C42D414yes—
101C3×#95—22no—
102C3×#95—22no—
103C3×#95—24no—
104C3×#95—24no—
105C3×#95—24no—
106C3×#95—24no—
107C3×#95—22no—
108C3×#95—42no—
109C3×#95—42no—
110C3×#95C2×C414yescomplemented
111C3×#95C2×C418yescomplemented
112C23×Q8C22×C311yescharacteristic
113C24×C4C22×C311yescharacteristic
114C2×C4×Q8—28no—
115C2×C4×Q8—24no—
116C22×C4⋊C4C22×C311yescharacteristic
117C22×C4⋊C4C22×C312yes—
118C22×C4⋊C4C22×C312yes—
119C22×C22⋊C4C22×C312yes—
120C22×C22⋊C4C22×C312yes—
121C22×C22⋊C4C22×C311yescharacteristic
122C22×C22⋊C4C22×C311yescharacteristic
123C22×C42C22×C312yes—
124C22×C42C22×C311yescharacteristic
125C22×C42C22×C311yescharacteristic
126#393C3×C418yescomplemented
127#385—28no—
128C4×C22⋊C4—24no—
129C2×#95C22×C312yes—
130C2×#95C22×C312yes—
131C2×#95C22×C311yescharacteristic
132C2×#95C22×C311yescharacteristic
133C2×#95C22×C312yes—
134C2×#95C22×C312yes—
135C2×#95C22×C311yescharacteristic
136C2×#95C22×C312yes—
137C2×#95C22×C312yes—
138C2×#95C22×C311yescharacteristic
139C2×#95C22×C312yes—
140C24×C3—21no—
141C24×C3—22no—
142C24×C3—21no—
143C24×C3—22no—
144C24×C3—21no—
145C24×C3—21no—
146C24×C3—22no—
147C24×C3—22no—
148C24×C3C22×C412yes—
149C24×C3C2×Q812yes—
150C24×C3#4112yes—
151C24×C3C2411yescharacteristic
152C2×C3×Q8—28no—
153C2×C3×Q8—28no—
154C2×C3×Q8—216no—
155C2×C3×Q8—28no—
156C2×C3×Q8—216no—
157C22×C3×C4—22no—
158C22×C3×C4—22no—
159C22×C3×C4—22no—
160C22×C3×C4—22no—
161C22×C3×C4—21no—
162C22×C3×C4—21no—
163C22×C3×C4—22no—
164C22×C3×C4—22no—
165C22×C3×C4—22no—
166C22×C3×C4—22no—
167C22×C3×C4—22no—
168C22×C3×C4—28no—
169C22×C3×C4—21no—
170C22×C3×C4—21no—
171C22×C3×C4—21no—
172C22×C3×C4—22no—
173C22×C3×C4—22no—
174C22×C3×C4—22no—
175C22×C3×C4—22no—
176C22×C3×C4—22no—
177C22×C3×C4—22no—
178C22×C3×C4—21no—
179C22×C3×C4—22no—
180C22×C3×C4—21no—
181C22×C3×C4—22no—
182C22×C3×C4—22no—
183C22×C3×C4—22no—
184C22×C3×C4—21no—
185C22×C3×C4—22no—
186C22×C3×C4—22no—
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—48no—
201C22×C3×C4—48no—
202C22×C3×C4—44no—
203C22×C3×C4—44no—
204C22×C3×C4C22×C414yes—
205C22×C3×C4C22×C412yes—
206C22×C3×C4C22×C414yes—
207C22×C3×C4C22×C412yes—
208C22×C3×C4C2×D414yes—
209C22×C3×C4C2×D414yes—
210C22×C3×C4C2×D412yes—
211C22×C3×C4C2×D414yes—
212C22×C3×C4C2×D412yes—
213C22×C3×C4C2×D412yes—
214C22×C3×C4C2×Q812yes—
215C22×C3×C4C2×Q812yes—
216C22×C3×C4#4112yes—
217C22×C3×C4#4112yes—
218C22×C3×C4#4114yes—
219C22×C3×C4#4112yes—
220C3×C4⋊C4—28no—
221C3×C4⋊C4—216no—
222C3×C4⋊C4—48no—
223C3×C22⋊C4—28no—
224C3×C22⋊C4—216no—
225C3×C22⋊C4—28no—
226C3×C22⋊C4—48no—
227C3×C42—216no—
228C3×C42—28no—
229C3×C42—44no—
230C25C23×C311yescharacteristic
231C22×Q8—24no—
232C22×Q8—22no—
233C22×Q8—24no—
234C22×Q8—22no—
235C22×Q8C2×C3×C414yescomplemented
236C23×C4—22no—
237C23×C4—22no—
238C23×C4—22no—
239C23×C4—24no—
240C23×C4—42no—
241C23×C4C23×C312yes—
242C23×C4C23×C312yes—
243C23×C4C23×C311yescharacteristic
244C23×C4C23×C312yes—
245C23×C4C23×C311yescharacteristic
246C23×C4C23×C311yescharacteristic
247C23×C4C23×C312yes—
248C23×C4C23×C311yescharacteristic
249C23×C4C23×C311yescharacteristic
250C23×C4C23×C311yescharacteristic
251C4×Q8—232no—
252C2×C4⋊C4—24no—
253C2×C4⋊C4—22no—
254C2×C4⋊C4—24no—
255C2×C4⋊C4—24no—
256C2×C4⋊C4—24no—
257C2×C4⋊C4—24no—
258C2×C4⋊C4—42no—
259C2×C4⋊C4C3×D418yes—
260C2×C22⋊C4—22no—
261C2×C22⋊C4—22no—
262C2×C22⋊C4—24no—
263C2×C22⋊C4—24no—
264C2×C22⋊C4—22no—
265C2×C22⋊C4—22no—
266C2×C22⋊C4—24no—
267C2×C22⋊C4—24no—
268C2×C22⋊C4—42no—
269C2×C22⋊C4C2×C3×C418yes—
270C2×C22⋊C4C2×C3×C414yes—
271C2×C22⋊C4C3×Q814yescomplemented
272C2×C42—24no—
273C2×C42—24no—
274C2×C42—24no—
275C2×C42—24no—
276C2×C42—22no—
277C2×C42—42no—
278C2×C42C3×D414yes—
279#95—22no—
280#95—22no—
281#95—24no—
282#95—24no—
283#95—24no—
284#95—24no—
285#95—22no—
286#95—42no—
287#95—42no—
288#95C2×C3×C414yescomplemented
289#95C2×C3×C418yescomplemented
290C23×C3—24no—
291C23×C3—22no—
292C23×C3—22no—
293C23×C3—24no—
294C23×C3—22no—
295C23×C3—22no—
296C23×C3—22no—
297C23×C3—22no—
298C23×C3—24no—
299C23×C3—24no—
300C23×C3—24no—
301C23×C3—24no—
302C23×C3—41no—
303C23×C3—41no—
304C23×C3—42no—
305C23×C3—41no—
306C23×C3—41no—
307C23×C3—42no—
308C23×C3—42no—
309C23×C3—42no—
310C23×C3—42no—
311C23×C3—42no—
312C23×C3C4×Q814yescomplemented
313C23×C3C23×C411yescharacteristic
314C23×C3C22×D411yescharacteristic
315C23×C3C22×D412yes—
316C23×C3C22×Q811yescharacteristic
317C23×C3C2×#4111yescharacteristic
318C23×C3C2×#4112yes—
319C23×C3C2×#4111yescharacteristic
320C23×C3C2×#4111yescharacteristic
321C23×C3C2×#4111yescharacteristic
322C23×C3H(5,𝔽2)12yes—
323C23×C32−1+412yes—
324C3×Q8—232no—
325C2×C3×C4—24no—
326C2×C3×C4—24no—
327C2×C3×C4—24no—
328C2×C3×C4—22no—
329C2×C3×C4—24no—
330C2×C3×C4—22no—
331C2×C3×C4—22no—
332C2×C3×C4—22no—
333C2×C3×C4—24no—
334C2×C3×C4—24no—
335C2×C3×C4—24no—
336C2×C3×C4—24no—
337C2×C3×C4—22no—
338C2×C3×C4—22no—
339C2×C3×C4—24no—
340C2×C3×C4—24no—
341C2×C3×C4—24no—
342C2×C3×C4—24no—
343C2×C3×C4—22no—
344C2×C3×C4—24no—
345C2×C3×C4—24no—
346C2×C3×C4—24no—
347C2×C3×C4—24no—
348C2×C3×C4—24no—
349C2×C3×C4—22no—
350C2×C3×C4—22no—
351C2×C3×C4—24no—
352C2×C3×C4—24no—
353C2×C3×C4—24no—
354C2×C3×C4—24no—
355C2×C3×C4—416no—
356C2×C3×C4—41no—
357C2×C3×C4—41no—
358C2×C3×C4—42no—
359C2×C3×C4—41no—
360C2×C3×C4—41no—
361C2×C3×C4—42no—
362C2×C3×C4—41no—
363C2×C3×C4—41no—
364C2×C3×C4—42no—
365C2×C3×C4—42no—
366C2×C3×C4—42no—
367C2×C3×C4—42no—
368C2×C3×C4—42no—
369C2×C3×C4—42no—
370C2×C3×C4—42no—
371C2×C3×C4—42no—
372C2×C3×C4—42no—
373C2×C3×C4—42no—
374C2×C3×C4—42no—
375C2×C3×C4—42no—
376C2×C3×C4—42no—
377C2×C3×C4—42no—
378C2×C3×C4—42no—
379C2×C3×C4—42no—
380C2×C3×C4C4×D414yes—
381C2×C3×C4C4×D418yes—
382C2×C3×C4#12014yes—
383C2×C3×C4C22⋊Q814yes—
384C24—21no—
385C24—22no—
386C24—21no—
387C24—22no—
388C24—21no—
389C24—21no—
390C24—22no—
391C24—22no—
392C24C22×C3×C412yes—
393C24C2×C3×Q812yes—
394C24C3×#4112yes—
395C24C24×C311yescharacteristic
396C2×Q8—28no—
397C2×Q8—216no—
398C2×Q8—28no—
399C2×Q8—216no—
400C2×Q8—28no—
401C22×C4—22no—
402C22×C4—22no—
403C22×C4—22no—
404C22×C4—22no—
405C22×C4—21no—
406C22×C4—21no—
407C22×C4—22no—
408C22×C4—22no—
409C22×C4—22no—
410C22×C4—22no—
411C22×C4—22no—
412C22×C4—28no—
413C22×C4—21no—
414C22×C4—21no—
415C22×C4—21no—
416C22×C4—22no—
417C22×C4—22no—
418C22×C4—22no—
419C22×C4—22no—
420C22×C4—22no—
421C22×C4—22no—
422C22×C4—22no—
423C22×C4—21no—
424C22×C4—21no—
425C22×C4—22no—
426C22×C4—22no—
427C22×C4—22no—
428C22×C4—21no—
429C22×C4—22no—
430C22×C4—22no—
431C22×C4—22no—
432C22×C4—22no—
433C22×C4—22no—
434C22×C4—22no—
435C22×C4—22no—
436C22×C4—22no—
437C22×C4—22no—
438C22×C4—22no—
439C22×C4—22no—
440C22×C4—22no—
441C22×C4—22no—
442C22×C4—22no—
443C22×C4—22no—
444C22×C4—48no—
445C22×C4—48no—
446C22×C4—44no—
447C22×C4—44no—
448C22×C4C22×C3×C414yes—
449C22×C4C22×C3×C412yes—
450C22×C4C22×C3×C412yes—
451C22×C4C22×C3×C414yes—
452C22×C4C2×C3×D414yes—
453C22×C4C2×C3×D414yes—
454C22×C4C2×C3×D412yes—
455C22×C4C2×C3×D414yes—
456C22×C4C2×C3×D412yes—
457C22×C4C2×C3×D412yes—
458C22×C4C2×C3×Q812yes—
459C22×C4C2×C3×Q812yes—
460C22×C4C3×#4112yes—
461C22×C4C3×#4114yes—
462C22×C4C3×#4112yes—
463C22×C4C3×#4112yes—
464C4⋊C4—28no—
465C4⋊C4—216no—
466C4⋊C4—48no—
467C22⋊C4—28no—
468C22⋊C4—216no—
469C22⋊C4—28no—
470C22⋊C4—48no—
471C42—216no—
472C42—28no—
473C42—44no—
474C22×C3—28no—
475C22×C3—24no—
476C22×C3—42no—
477C22×C3—42no—
478C22×C3—42no—
479C22×C3—44no—
480C22×C3—42no—
481C22×C3—42no—
482C22×C3—44no—
483C22×C3—44no—
484C22×C3—42no—
485C22×C3C2×C4×D411yescharacteristic
486C22×C3C2×C4×D412yes—
487C22×C3C2×C4×Q811yescharacteristic
488C22×C3C4×#4111yescharacteristic
489C22×C3#52012yes—
490C22×C3C2×#12011yescharacteristic
491C22×C3C2×C22⋊Q811yescharacteristic
492C22×C3#52511yescharacteristic
493C22×C3#52511yescharacteristic
494C22×C3#52512yes—
495C22×C3#52911yescharacteristic
496C22×C3#53311yescharacteristic
497C22×C3#53511yescharacteristic
498C22×C3#53611yescharacteristic
499C22×C3#54212yes—
500C22×C3#54612yes—
501C22×C3#54612yes—
502C22×C3#54812yes—
503C22×C3D4×Q812yes—
504C22×C3#55212yes—
505C22×C3#55412yes—
506C22×C3#55612yes—
507C22×C3#55912yes—
508C3×C4—24no—
509C3×C4—24no—
510C3×C4—28no—
511C3×C4—24no—
512C3×C4—42no—
513C3×C4—42no—
514C3×C4—44no—
515C3×C4—44no—
516C3×C4—42no—
517C3×C4—82no—
518C23—24no—
519C23—22no—
520C23—22no—
521C23—24no—
522C23—22no—
523C23—22no—
524C23—22no—
525C23—22no—
526C23—24no—
527C23—24no—
528C23—24no—
529C23—24no—
530C23—42no—
531C23—41no—
532C23—42no—
533C23—41no—
534C23—41no—
535C23—41no—
536C23—42no—
537C23—42no—
538C23—42no—
539C23—42no—
540C23C3×C4×Q814yescomplemented
541C23C23×C3×C411yescharacteristic
542C23C22×C3×D411yescharacteristic
543C23C22×C3×D412yes—
544C23C22×C3×Q811yescharacteristic
545C23C2×C3×#4111yescharacteristic
546C23C2×C3×#4112yes—
547C23C2×C3×#4111yescharacteristic
548C23C2×C3×#4111yescharacteristic
549C23C2×C3×#4111yescharacteristic
550C23C3×H(5,𝔽2)12yes—
551C23C3×2−1+412yes—
552Q8—232no—
553C2×C4—24no—
554C2×C4—24no—
555C2×C4—24no—
556C2×C4—22no—
557C2×C4—24no—
558C2×C4—22no—
559C2×C4—22no—
560C2×C4—24no—
561C2×C4—22no—
562C2×C4—24no—
563C2×C4—24no—
564C2×C4—24no—
565C2×C4—22no—
566C2×C4—22no—
567C2×C4—24no—
568C2×C4—24no—
569C2×C4—24no—
570C2×C4—24no—
571C2×C4—24no—
572C2×C4—22no—
573C2×C4—24no—
574C2×C4—24no—
575C2×C4—24no—
576C2×C4—24no—
577C2×C4—22no—
578C2×C4—22no—
579C2×C4—24no—
580C2×C4—24no—
581C2×C4—24no—
582C2×C4—24no—
583C2×C4—416no—
584C2×C4—42no—
585C2×C4—42no—
586C2×C4—41no—
587C2×C4—42no—
588C2×C4—41no—
589C2×C4—41no—
590C2×C4—41no—
591C2×C4—41no—
592C2×C4—42no—
593C2×C4—41no—
594C2×C4—42no—
595C2×C4—42no—
596C2×C4—42no—
597C2×C4—42no—
598C2×C4—42no—
599C2×C4—42no—
600C2×C4—42no—
601C2×C4—42no—
602C2×C4—42no—
603C2×C4—42no—
604C2×C4—42no—
605C2×C4—42no—
606C2×C4—42no—
607C2×C4—42no—
608C2×C4C3×C4×D418yes—
609C2×C4C3×C4×D414yes—
610C2×C4C3×#12014yes—
611C2×C4C3×C22⋊Q814yes—
612C2×C3—44no—
613C2×C3C4×#12011yescharacteristic
614C2×C3C4×C22⋊Q811yescharacteristic
615C2×C3#232611yescharacteristic
616C2×C3#236012yes—
617C2×C3#236712yes—
618C2×C3#240411yescharacteristic
619C2×C3#240911yescharacteristic
620C2×C3#245812yes—
621C2×C3#246512yes—
622C2×C3#258011yescharacteristic
623C2×C3#259911yescharacteristic
624C22—28no—
625C22—24no—
626C22—44no—
627C22—42no—
628C22—42no—
629C22—44no—
630C22—44no—
631C22—42no—
632C22—42no—
633C22—42no—
634C22—42no—
635C22C2×C3×C4×D412yes—
636C22C2×C3×C4×D411yescharacteristic
637C22C2×C3×C4×Q811yescharacteristic
638C22C3×C4×#4111yescharacteristic
639C22C3×#52012yes—
640C22C2×C3×#12011yescharacteristic
641C22C2×C3×C22⋊Q811yescharacteristic
642C22C3×#52511yescharacteristic
643C22C3×#52512yes—
644C22C3×#52511yescharacteristic
645C22C3×#52911yescharacteristic
646C22C3×#53311yescharacteristic
647C22C3×#53511yescharacteristic
648C22C3×#53611yescharacteristic
649C22C3×#54212yes—
650C22C3×#54612yes—
651C22C3×#54612yes—
652C22C3×#54812yes—
653C22C3×D4×Q812yes—
654C22C3×#55212yes—
655C22C3×#55412yes—
656C22C3×#55612yes—
657C22C3×#55912yes—
658C4—24no—
659C4—24no—
660C4—24no—
661C4—28no—
662C4—44no—
663C4—42no—
664C4—44no—
665C4—42no—
666C4—42no—
667C4—82no—
668C3#1417211yescharacteristic, direct product factor, Sylow
669C2—44no—
670C2C3×C4×#12011yescharacteristic
671C2C3×C4×C22⋊Q811yescharacteristic
672C2C3×#232611yescharacteristic
673C2C3×#236012yes—
674C2C3×#236712yes—
675C2C3×#240411yescharacteristic
676C2C3×#240911yescharacteristic
677C2C3×#245812yes—
678C2C3×#246512yes—
679C2C3×#258011yescharacteristic
680C2C3×#259911yescharacteristic
subgroupG/H
center, socleC24×C3C24
commutatorC23C23×C3×C4
Frattini, cosocleC24C24×C3
prime radicalC25×C3C23
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C24×C3 ◁ G

Complements

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

NH ≅ G/Ntype
1. C22×C3×C4×Q8C2semidirect
5. C3×#1446C2semidirect
6. C3×#1444C2semidirect
9. C3×#1436C2semidirect
10. C3×#1436C2semidirect
11. C3×#1434C2semidirect
12. #14172C3direct (N × H)
27. C3×#393C4semidirect
41. C22×C4×Q8C2×C3semidirect
45. #1446C2×C3semidirect
46. #1444C2×C3semidirect
49. #1436C2×C3semidirect
50. #1436C2×C3semidirect
51. #1434C2×C3semidirect
57. C22×C3×Q8C2×C4semidirect
93. C2×C3×C22⋊C4Q8semidirect
110. C3×#95C2×C4semidirect
111. C3×#95C2×C4semidirect
126. #393C3×C4semidirect
235. C22×Q8C2×C3×C4semidirect
271. C2×C22⋊C4C3×Q8semidirect
288. #95C2×C3×C4semidirect
289. #95C2×C3×C4semidirect
312. C23×C3C4×Q8semidirect
540. C23C3×C4×Q8semidirect
668. C3#14172direct (N × H)

Maximal subgroups

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

subgroupindex
C22×C3×C4×Q82
C2×C3×#3932
C2×C3×#3852
C2×C3×C4×C22⋊C42
C3×#14462
C3×#14442
C3×#14392
C3×#14372
C3×#14362
C3×#14342
#141723