Finite Group Databasebeta

← C3×#27788 #10646395

Subgroups — C3×#27788 #10646395

Order 768.

820 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×#499C211yesmaximal, characteristic, complemented
2C2×C3×#465C211yesmaximal, characteristic
3C3×#2490C211yesmaximal, characteristic
4C3×#2489C211yesmaximal, characteristic, complemented
5C3×#2036C211yesmaximal, characteristic, complemented
6C3×#2033C211yesmaximal, characteristic
7C3×#2026C211yesmaximal, characteristic, complemented
8C3×#2025C211yesmaximal, characteristic, complemented
9C3×#1968C211yesmaximal, characteristic, complemented
10C3×#1968C211yesmaximal, characteristic, complemented
11C3×#1928C211yesmaximal, characteristic, complemented
12C3×#1925C211yesmaximal, characteristic, complemented
13C3×#1807C211yesmaximal, characteristic, complemented
14C3×C4×#106C211yesmaximal, characteristic, complemented
15C3×C8×C22⋊C4C211yesmaximal, characteristic, complemented
16#27788C311yesmaximal, characteristic, direct product factor, Sylow
17C22×C3×SD16C2211yescharacteristic
18C23×C3×C8C2211yescharacteristic
19C2×C3×#125C2211yescharacteristic
20C2×C3×#125C2211yescharacteristic
21C2×C3×C22⋊Q8C2211yescharacteristic
22C2×C3×#121C2211yescharacteristic
23C3×#499—24no—
24C3×#465—24no—
25C2×C3×#107C2211yescharacteristic
26C2×C3×#107C2211yescharacteristic
27C2×C3×#106C2211yescharacteristic
28C2×C3×#106C2211yescharacteristic
29C2×C3×#106C2211yescharacteristic
30C2×C3×#103C2211yescharacteristic
31C2×C3×#103C2211yescharacteristic
32C2×C3×#103C2211yescharacteristic
33C2×C3×#102C2211yescharacteristic
34C2×C3×#102C2211yescharacteristic
35C2×C3×#102C2211yescharacteristic
36C2×C3×C22⋊C8C2211yescharacteristic
37C2×C3×C4×C8C2211yescharacteristic
38C2×C3×C4×C8C2211yescharacteristic
39C3×#400—21no—
40C3×#397—21no—
41C3×#397—21no—
42C3×#394—21no—
43C3×#391C2211yescharacteristic
44C3×#391C2211yescharacteristic
45C3×#390—21no—
46C3×#390C2211yescharacteristic
47C3×#390C2211yescharacteristic
48C3×#388—21no—
49C3×#388—21no—
50C3×#382—21no—
51C3×#380C2211yescharacteristic
52C3×#380C2211yescharacteristic
53C3×C4×C4⋊C4C2211yescharacteristic
54C3×C4×C4⋊C4C2211yescharacteristic
55C3×C4×C22⋊C4C2211yescharacteristic
56C3×#340C2211yescharacteristic
57C3×#340C2211yescharacteristic
58C3×#340C2211yescharacteristic
59C3×#340C2211yescharacteristic
60C3×#336C2211yescharacteristic
61C3×#336C2211yescharacteristic
62C2×#499C2×C311yescharacteristic, complemented
63C2×#465C2×C311yescharacteristic
64#2490C2×C311yescharacteristic
65#2489C2×C311yescharacteristic, complemented
66#2036C2×C311yescharacteristic, complemented
67#2033C2×C311yescharacteristic
68#2026C2×C311yescharacteristic, complemented
69#2025C2×C311yescharacteristic, complemented
70#1968C2×C311yescharacteristic, complemented
71#1968C2×C311yescharacteristic, complemented
72#1928C2×C311yescharacteristic, complemented
73#1925C2×C311yescharacteristic, complemented
74#1807C2×C311yescharacteristic, complemented
75C4×#106C2×C311yescharacteristic, complemented
76C8×C22⋊C4C2×C311yescharacteristic, complemented
77C22×C3×Q8C2311yescharacteristic
78C22×C3×D4—21no—
79C22×C3×D4C2311yescharacteristic
80C23×C3×C4C2311yescharacteristic
81C2×C3×SD16—22no—
82C2×C3×SD16—22no—
83C2×C3×SD16—22no—
84C22×C3×C8—22no—
85C22×C3×C8—22no—
86C22×C3×C8—22no—
87C22×C3×C8C2311yescharacteristic
88C22×C3×C8C2311yescharacteristic
89C22×C3×C8C2311yescharacteristic
90C22×C3×C8C2311yescharacteristic
91C3×#125—22no—
92C3×#125—22no—
93C3×#125—41no—
94C3×#125—41no—
95C3×C22⋊Q8—22no—
96C3×C22⋊Q8—41no—
97C3×#121—22no—
98C3×#121—41no—
99C2×C3×C4⋊C4—21no—
100C2×C3×C4⋊C4—21no—
101C2×C3×C4⋊C4—21no—
102C2×C3×C4⋊C4—21no—
103C2×C3×C4⋊C4—21no—
104C2×C3×C4⋊C4C2311yescharacteristic
105C2×C3×C4⋊C4C2311yescharacteristic
106C2×C3×C4⋊C4C2311yescharacteristic
107C2×C3×C4⋊C4C2311yescharacteristic
108C2×C3×C4⋊C4C2311yescharacteristic
109C2×C3×C4⋊C4C2311yescharacteristic
110C2×C3×C22⋊C4—21no—
111C2×C3×C22⋊C4—21no—
112C2×C3×C22⋊C4—21no—
113C2×C3×C22⋊C4—21no—
114C2×C3×C22⋊C4—21no—
115C2×C3×C22⋊C4—21no—
116C2×C3×C22⋊C4—21no—
117C2×C3×C22⋊C4—21no—
118C2×C3×C22⋊C4D411yescharacteristic
119C2×C3×C22⋊C4D411yescharacteristic
120C2×C3×C42—21no—
121C2×C3×C42—21no—
122C2×C3×C42C2311yescharacteristic
123C2×C3×C42C2311yescharacteristic
124C3×#107—22no—
125C3×#107—22no—
126C3×#106—22no—
127C3×#106—22no—
128C3×#106D414yes—
129C3×#103—22no—
130C3×#103—22no—
131C3×#103—41no—
132C3×#102—22no—
133C3×#102—22no—
134C3×#102—41no—
135C3×C22⋊C8—22no—
136C3×C4×C8—22no—
137C3×C4×C8—22no—
138C3×#95—21no—
139C3×#95—21no—
140C3×#95—21no—
141C3×#95—21no—
142C3×#95—21no—
143C3×#95—21no—
144C3×#95—21no—
145C3×#95—21no—
146C3×#95D411yescharacteristic
147C3×#95D411yescharacteristic
148C22×SD16C22×C311yescharacteristic
149C23×C8C22×C311yescharacteristic
150C2×#125C22×C311yescharacteristic
151C2×#125C22×C311yescharacteristic
152C2×C22⋊Q8C22×C311yescharacteristic
153C2×#121C22×C311yescharacteristic
154#499—24no—
155#465—24no—
156C2×#107C22×C311yescharacteristic
157C2×#107C22×C311yescharacteristic
158C2×#106C22×C311yescharacteristic
159C2×#106C22×C311yescharacteristic
160C2×#106C22×C311yescharacteristic
161C2×#103C22×C311yescharacteristic
162C2×#103C22×C311yescharacteristic
163C2×#103C22×C311yescharacteristic
164C2×#102C22×C311yescharacteristic
165C2×#102C22×C311yescharacteristic
166C2×#102C22×C311yescharacteristic
167C2×C22⋊C8C22×C311yescharacteristic
168C2×C4×C8C22×C311yescharacteristic
169C2×C4×C8C22×C311yescharacteristic
170#400—21no—
171#397—21no—
172#397—21no—
173#394—21no—
174#391C22×C311yescharacteristic
175#391C22×C311yescharacteristic
176#390—21no—
177#390C22×C311yescharacteristic
178#390C22×C311yescharacteristic
179#388—21no—
180#388—21no—
181#382—21no—
182#380C22×C311yescharacteristic
183#380C22×C311yescharacteristic
184C4×C4⋊C4C22×C311yescharacteristic
185C4×C4⋊C4C22×C311yescharacteristic
186C4×C22⋊C4C22×C311yescharacteristic
187#340C22×C311yescharacteristic
188#340C22×C311yescharacteristic
189#340C22×C311yescharacteristic
190#340C22×C311yescharacteristic
191#336C22×C311yescharacteristic
192#336C22×C311yescharacteristic
193C24×C3—21no—
194C24×C3C2×D411yescharacteristic
195C2×C3×Q8—21no—
196C2×C3×Q8—21no—
197C2×C3×Q8—21no—
198C2×C3×Q8—21no—
199C2×C3×Q8—21no—
200C2×C3×Q8—21no—
201C2×C3×D4—21no—
202C2×C3×D4—21no—
203C2×C3×D4—21no—
204C2×C3×D4—21no—
205C2×C3×D4—21no—
206C2×C3×D4—21no—
207C2×C3×D4—42no—
208C2×C3×D4—42no—
209C2×C3×D4—81no—
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—21no—
217C22×C3×C4—21no—
218C22×C3×C4—21no—
219C22×C3×C4—21no—
220C22×C3×C4—21no—
221C22×C3×C4—21no—
222C22×C3×C4—21no—
223C22×C3×C4C2×D411yescharacteristic
224C22×C3×C4C2×D411yescharacteristic
225C22×C3×C4C2×D411yescharacteristic
226C22×C3×C4C2×D411yescharacteristic
227C22×C3×C4C2×D411yescharacteristic
228C22×C3×C4C2411yescharacteristic
229C3×SD16—44no—
230C2×C3×C8—21no—
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—44no—
239C2×C3×C8C2×D412yes—
240C2×C3×C8#4112yes—
241C2×C3×C8#4112yes—
242C2×C3×C8#4112yes—
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—42no—
254C3×C4⋊C4—42no—
255C3×C4⋊C4—42no—
256C3×C4⋊C4—42no—
257C3×C4⋊C4—42no—
258C3×C4⋊C4C2×D412yes—
259C3×C4⋊C4C2×D412yes—
260C3×C22⋊C4—22no—
261C3×C22⋊C4—22no—
262C3×C22⋊C4—42no—
263C3×C22⋊C4—42no—
264C3×C22⋊C4—42no—
265C3×C22⋊C4—42no—
266C3×C22⋊C4—81no—
267C3×C22⋊C4—81no—
268C3×C22⋊C4—81no—
269C3×C22⋊C4—81no—
270C3×C42—21no—
271C3×C42—21no—
272C3×C42—21no—
273C3×C42—21no—
274C3×C42—42no—
275C3×C42—81no—
276C22×Q8C23×C311yescharacteristic
277C22×D4—21no—
278C22×D4C23×C311yescharacteristic
279C23×C4C23×C311yescharacteristic
280C2×SD16—22no—
281C2×SD16—22no—
282C2×SD16—22no—
283C22×C8—22no—
284C22×C8—22no—
285C22×C8—22no—
286C22×C8C23×C311yescharacteristic
287C22×C8C23×C311yescharacteristic
288C22×C8C23×C311yescharacteristic
289C22×C8C23×C311yescharacteristic
290#125—22no—
291#125—22no—
292#125—41no—
293#125—41no—
294C22⋊Q8—22no—
295C22⋊Q8—41no—
296#121—22no—
297#121—41no—
298C2×C4⋊C4—21no—
299C2×C4⋊C4—21no—
300C2×C4⋊C4—21no—
301C2×C4⋊C4—21no—
302C2×C4⋊C4—21no—
303C2×C4⋊C4C23×C311yescharacteristic
304C2×C4⋊C4C23×C311yescharacteristic
305C2×C4⋊C4C23×C311yescharacteristic
306C2×C4⋊C4C23×C311yescharacteristic
307C2×C4⋊C4C23×C311yescharacteristic
308C2×C4⋊C4C23×C311yescharacteristic
309C2×C22⋊C4—21no—
310C2×C22⋊C4—21no—
311C2×C22⋊C4—21no—
312C2×C22⋊C4—21no—
313C2×C22⋊C4—21no—
314C2×C22⋊C4—21no—
315C2×C22⋊C4—21no—
316C2×C22⋊C4—21no—
317C2×C22⋊C4C3×D411yescharacteristic
318C2×C22⋊C4C3×D411yescharacteristic
319C2×C42—21no—
320C2×C42—21no—
321C2×C42C23×C311yescharacteristic
322C2×C42C23×C311yescharacteristic
323#107—22no—
324#107—22no—
325#106—22no—
326#106—22no—
327#106C3×D414yes—
328#103—22no—
329#103—22no—
330#103—41no—
331#102—22no—
332#102—22no—
333#102—41no—
334C22⋊C8—22no—
335C4×C8—22no—
336C4×C8—22no—
337#95—21no—
338#95—21no—
339#95—21no—
340#95—21no—
341#95—21no—
342#95—21no—
343#95—21no—
344#95—21no—
345#95C3×D411yescharacteristic
346#95C3×D411yescharacteristic
347C23×C3—21no—
348C23×C3—21no—
349C23×C3—21no—
350C23×C3—21no—
351C23×C3—21no—
352C23×C3—21no—
353C23×C3—41no—
354C23×C3—41no—
355C23×C3—41no—
356C23×C3—41no—
357C23×C3—41no—
358C23×C3—41no—
359C23×C3—41no—
360C23×C3#13512yes—
361C23×C3C22×D411yescharacteristic
362C3×Q8—41no—
363C3×Q8—41no—
364C3×Q8—41no—
365C3×Q8—41no—
366C3×D4—41no—
367C3×D4—41no—
368C3×D4—41no—
369C3×D4—41no—
370C3×D4—84no—
371C2×C3×C4—21no—
372C2×C3×C4—21no—
373C2×C3×C4—21no—
374C2×C3×C4—21no—
375C2×C3×C4—21no—
376C2×C3×C4—21no—
377C2×C3×C4—22no—
378C2×C3×C4—22no—
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—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—41no—
402C2×C3×C4—41no—
403C2×C3×C4—41no—
404C2×C3×C4—41no—
405C2×C3×C4—41no—
406C2×C3×C4—41no—
407C2×C3×C4—41no—
408C2×C3×C4—41no—
409C2×C3×C4—41no—
410C2×C3×C4#13512yes—
411C2×C3×C4C22×D411yescharacteristic
412C2×C3×C4C2×#4111yescharacteristic
413C2×C3×C4C2×#4111yescharacteristic
414C2×C3×C4C2×#4111yescharacteristic
415C2×C3×C4H(5,𝔽2)11yescharacteristic
416C2×C3×C42−1+411yescharacteristic
417C3×C8—22no—
418C3×C8—41no—
419C3×C8—41no—
420C3×C8#12414yes—
421C24—21no—
422C24C2×C3×D411yescharacteristic
423C2×Q8—21no—
424C2×Q8—21no—
425C2×Q8—21no—
426C2×Q8—21no—
427C2×Q8—21no—
428C2×Q8—21no—
429C2×D4—21no—
430C2×D4—21no—
431C2×D4—21no—
432C2×D4—21no—
433C2×D4—21no—
434C2×D4—21no—
435C2×D4—42no—
436C2×D4—42no—
437C2×D4—81no—
438C22×C4—21no—
439C22×C4—21no—
440C22×C4—21no—
441C22×C4—21no—
442C22×C4—21no—
443C22×C4—21no—
444C22×C4—21no—
445C22×C4—21no—
446C22×C4—21no—
447C22×C4—21no—
448C22×C4—21no—
449C22×C4—21no—
450C22×C4—21no—
451C22×C4C2×C3×D411yescharacteristic
452C22×C4C2×C3×D411yescharacteristic
453C22×C4C2×C3×D411yescharacteristic
454C22×C4C2×C3×D411yescharacteristic
455C22×C4C2×C3×D411yescharacteristic
456C22×C4C24×C311yescharacteristic
457SD16—44no—
458C2×C8—21no—
459C2×C8—21no—
460C2×C8—21no—
461C2×C8—21no—
462C2×C8—21no—
463C2×C8—21no—
464C2×C8—21no—
465C2×C8—21no—
466C2×C8—44no—
467C2×C8C2×C3×D412yes—
468C2×C8C3×#4112yes—
469C2×C8C3×#4112yes—
470C2×C8C3×#4112yes—
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—42no—
482C4⋊C4—42no—
483C4⋊C4—42no—
484C4⋊C4—42no—
485C4⋊C4—42no—
486C4⋊C4C2×C3×D412yes—
487C4⋊C4C2×C3×D412yes—
488C22⋊C4—22no—
489C22⋊C4—22no—
490C22⋊C4—42no—
491C22⋊C4—42no—
492C22⋊C4—42no—
493C22⋊C4—42no—
494C22⋊C4—81no—
495C22⋊C4—81no—
496C22⋊C4—81no—
497C22⋊C4—81no—
498C42—21no—
499C42—21no—
500C42—21no—
501C42—21no—
502C42—42no—
503C42—81no—
504C22×C3—22no—
505C22×C3—22no—
506C22×C3—22no—
507C22×C3—41no—
508C22×C3—41no—
509C22×C3—41no—
510C22×C3—41no—
511C22×C3—81no—
512C22×C3—81no—
513C22×C3—81no—
514C22×C3—81no—
515C22×C3—81no—
516C22×C3—81no—
517C22×C3—81no—
518C22×C3#53211yescharacteristic
519C22×C3D4211yescharacteristic
520C22×C3#54711yescharacteristic
521C22×C3C2×#13511yescharacteristic
522C22×C3C2×#13511yescharacteristic
523C22×C3#57711yescharacteristic
524C22×C3#57711yescharacteristic
525C3×C4—22no—
526C3×C4—41no—
527C3×C4—41no—
528C3×C4—41no—
529C3×C4—42no—
530C3×C4—41no—
531C3×C4—42no—
532C3×C4—81no—
533C3×C4—81no—
534C3×C4—81no—
535C3×C4—81no—
536C3×C4—81no—
537C3×C4C2×#12411yescharacteristic
538C3×C4#54211yescharacteristic
539C3×C4#54811yescharacteristic
540C3×C4#55511yescharacteristic
541C23—21no—
542C23—21no—
543C23—21no—
544C23—21no—
545C23—21no—
546C23—21no—
547C23—41no—
548C23—41no—
549C23—41no—
550C23—41no—
551C23—41no—
552C23—41no—
553C23—41no—
554C23C3×#13512yes—
555C23C22×C3×D411yescharacteristic
556Q8—41no—
557Q8—41no—
558Q8—41no—
559Q8—41no—
560D4—41no—
561D4—41no—
562D4—41no—
563D4—41no—
564D4—84no—
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—22no—
578C2×C4—22no—
579C2×C4—21no—
580C2×C4—21no—
581C2×C4—41no—
582C2×C4—41no—
583C2×C4—41no—
584C2×C4—41no—
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—41no—
602C2×C4—41no—
603C2×C4—41no—
604C2×C4C3×#13512yes—
605C2×C4C22×C3×D411yescharacteristic
606C2×C4C2×C3×#4111yescharacteristic
607C2×C4C2×C3×#4111yescharacteristic
608C2×C4C2×C3×#4111yescharacteristic
609C2×C4C3×H(5,𝔽2)11yescharacteristic
610C2×C4C3×2−1+411yescharacteristic
611C8—22no—
612C8—41no—
613C8—41no—
614C8C3×#12414yes—
615C2×C3—42no—
616C2×C3—161no—
617C2×C3#249111yescharacteristic
618C2×C3#316811yescharacteristic
619C2×C3#317411yescharacteristic
620C2×C3#328211yescharacteristic
621C2×C3#328411yescharacteristic
622C2×C3#333711yescharacteristic
623C2×C3#333711yescharacteristic
624C22—22no—
625C22—22no—
626C22—22no—
627C22—41no—
628C22—41no—
629C22—41no—
630C22—41no—
631C22—81no—
632C22—81no—
633C22—81no—
634C22—81no—
635C22—81no—
636C22—81no—
637C22—81no—
638C22C3×#53211yescharacteristic
639C22C3×D4211yescharacteristic
640C22C3×#54711yescharacteristic
641C22C2×C3×#13511yescharacteristic
642C22C2×C3×#13511yescharacteristic
643C22C3×#57711yescharacteristic
644C22C3×#57711yescharacteristic
645C4—22no—
646C4—41no—
647C4—41no—
648C4—42no—
649C4—41no—
650C4—42no—
651C4—41no—
652C4—81no—
653C4—81no—
654C4—81no—
655C4—81no—
656C4—81no—
657C4C2×C3×#12411yescharacteristic
658C4C3×#54211yescharacteristic
659C4C3×#54811yescharacteristic
660C4C3×#55511yescharacteristic
661C3#2778811yescharacteristic, direct product factor, Sylow
662C2—42no—
663C2—161no—
664C2C3×#249111yescharacteristic
665C2C3×#316811yescharacteristic
666C2C3×#317411yescharacteristic
667C2C3×#328211yescharacteristic
668C2C3×#328411yescharacteristic
669C2C3×#333711yescharacteristic
670C2C3×#333711yescharacteristic
subgroupG/H
center, socleC23×C3C22×D4
commutator, Frattini, cosocleC22×C4C24×C3
prime radicalC2×C3×#121C22
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23×C3 ◁ C3×C4×C22⋊C4 ◁ G

Complements

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

NH ≅ G/Ntype
1. C2×C3×#499C2semidirect
4. C3×#2489C2semidirect
5. C3×#2036C2semidirect
7. C3×#2026C2semidirect
8. C3×#2025C2semidirect
9. C3×#1968C2semidirect
10. C3×#1968C2semidirect
11. C3×#1928C2semidirect
12. C3×#1925C2semidirect
13. C3×#1807C2semidirect
14. C3×C4×#106C2semidirect
15. C3×C8×C22⋊C4C2semidirect
16. #27788C3direct (N × H)
62. C2×#499C2×C3semidirect
65. #2489C2×C3semidirect
66. #2036C2×C3semidirect
68. #2026C2×C3semidirect
69. #2025C2×C3semidirect
70. #1968C2×C3semidirect
71. #1968C2×C3semidirect
72. #1928C2×C3semidirect
73. #1925C2×C3semidirect
74. #1807C2×C3semidirect
75. C4×#106C2×C3semidirect
76. C8×C22⋊C4C2×C3semidirect
661. C3#27788direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C3×#4992
C2×C3×#4652
C3×#24902
C3×#24892
C3×#20362
C3×#20332
C3×#20262
C3×#20252
C3×#19682
C3×#19282
C3×#19252
C3×#18072
C3×C4×#1062
C3×C8×C22⋊C42
#277883