Finite Group Databasebeta

← C3×#25822 #10644429

Subgroups — C3×#25822 #10644429

Order 768.

982 conjugacy classes of subgroups.

The subgroup lattice has 650 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C3×#544C211yesmaximal, characteristic
2C2×C3×#501C211yesmaximal, characteristic, complemented
3C2×C3×#499C211yesmaximal, characteristic, complemented
4C3×#2629C211yesmaximal, characteristic
5C3×#2059C211yesmaximal, characteristic, complemented
6C3×#2059C211yesmaximal, characteristic, complemented
7C3×#2058C211yesmaximal, characteristic, complemented
8C3×#2057C211yesmaximal, characteristic, complemented
9C3×#1992C211yesmaximal, characteristic, complemented
10C3×#1990C211yesmaximal, characteristic, complemented
11C3×#1854C211yesmaximal, characteristic
12C3×#1854C211yesmaximal, characteristic
13C3×#1853C211yesmaximal, characteristic
14C3×#1852C211yesmaximal, characteristic
15C3×#1750C211yesmaximal, characteristic
16#25822C311yesmaximal, characteristic, direct product factor, Sylow
17C3×#544—24no—
18C3×#544—24no—
19C2×C3×C4⋊Q8—21no—
20C2×C3×C4⋊Q8C2211yescharacteristic
21C2×C3×C4⋊Q8C2211yescharacteristic
22C2×C3×#125—21no—
23C2×C3×#125C2211yescharacteristic
24C2×C3×#125C2211yescharacteristic
25C2×C3×#125C2211yescharacteristic
26C2×C3×C22⋊Q8—21no—
27C2×C3×C22⋊Q8—21no—
28C2×C3×#117C2211yescharacteristic
29C2×C3×#117C2211yescharacteristic
30C22×C3×C4⋊C4C2211yescharacteristic
31C3×#501—24no—
32C3×#499—24no—
33C2×C3×#107C2211yescharacteristic
34C2×C3×#107C2211yescharacteristic
35C2×C3×#107C2211yescharacteristic
36C2×C3×#107C2211yescharacteristic
37C2×C3×#106C2211yescharacteristic
38C2×C3×#106C2211yescharacteristic
39C2×C3×#106C2211yescharacteristic
40C2×C3×#106C2211yescharacteristic
41C2×C3×C22⋊C8C2211yescharacteristic
42C2×C3×C22⋊C8C2211yescharacteristic
43C2×C3×#97C2211yescharacteristic
44C2×C3×C4×C8C2211yescharacteristic
45C3×#398—21no—
46C3×#398—21no—
47C3×#396—21no—
48C3×#396—21no—
49C3×#389C2211yescharacteristic
50C3×#389C2211yescharacteristic
51C3×#384C2211yescharacteristic
52C3×#380C2211yescharacteristic
53C3×#380C2211yescharacteristic
54C3×#340C2211yescharacteristic
55C3×#340C2211yescharacteristic
56C3×#340C2211yescharacteristic
57C3×#340C2211yescharacteristic
58C3×#340C2211yescharacteristic
59C3×#340C2211yescharacteristic
60C3×#340C2211yescharacteristic
61C3×#340C2211yescharacteristic
62C3×#336C2211yescharacteristic
63C3×#336C2211yescharacteristic
64C2×#544C2×C311yescharacteristic
65C2×#501C2×C311yescharacteristic, complemented
66C2×#499C2×C311yescharacteristic, complemented
67#2629C2×C311yescharacteristic
68#2059C2×C311yescharacteristic, complemented
69#2059C2×C311yescharacteristic, complemented
70#2058C2×C311yescharacteristic, complemented
71#2057C2×C311yescharacteristic, complemented
72#1992C2×C311yescharacteristic, complemented
73#1990C2×C311yescharacteristic, complemented
74#1854C2×C311yescharacteristic
75#1854C2×C311yescharacteristic
76#1853C2×C311yescharacteristic
77#1852C2×C311yescharacteristic
78#1750C2×C311yescharacteristic
79C22×C3×Q8—21no—
80C22×C3×Q8—21no—
81C23×C3×C4—21no—
82C23×C3×C4C2311yescharacteristic
83C22×C3×C8C2311yescharacteristic
84C22×C3×C8C2311yescharacteristic
85C22×C3×C8C2311yescharacteristic
86C22×C3×C8C2311yescharacteristic
87C3×C4⋊Q8—28no—
88C3×C4⋊Q8—22no—
89C3×C4⋊Q8—22no—
90C3×C4⋊Q8—22no—
91C3×C4⋊Q8D414yes—
92C3×#125—28no—
93C3×#125—22no—
94C3×#125—22no—
95C3×#125—22no—
96C3×#125—22no—
97C3×#125—22no—
98C3×#125D414yes—
99C3×C22⋊Q8—28no—
100C3×C22⋊Q8—28no—
101C3×#117—22no—
102C3×#117—22no—
103C3×#117—22no—
104C3×#117—22no—
105C2×C3×C4⋊C4—21no—
106C2×C3×C4⋊C4—21no—
107C2×C3×C4⋊C4—21no—
108C2×C3×C4⋊C4—21no—
109C2×C3×C4⋊C4—21no—
110C2×C3×C4⋊C4—21no—
111C2×C3×C4⋊C4—21no—
112C2×C3×C4⋊C4—22no—
113C2×C3×C4⋊C4—22no—
114C2×C3×C4⋊C4—21no—
115C2×C3×C4⋊C4—21no—
116C2×C3×C4⋊C4—21no—
117C2×C3×C4⋊C4—21no—
118C2×C3×C4⋊C4—21no—
119C2×C3×C4⋊C4—21no—
120C2×C3×C4⋊C4D411yescharacteristic
121C2×C3×C4⋊C4D411yescharacteristic
122C2×C3×C4⋊C4C2311yescharacteristic
123C2×C3×C4⋊C4C2311yescharacteristic
124C2×C3×C4⋊C4C2311yescharacteristic
125C2×C3×C4⋊C4C2311yescharacteristic
126C2×C3×C4⋊C4C2311yescharacteristic
127C2×C3×C4⋊C4C2311yescharacteristic
128C2×C3×C4⋊C4C2311yescharacteristic
129C2×C3×C4⋊C4C2311yescharacteristic
130C2×C3×C22⋊C4—21no—
131C2×C3×C22⋊C4—21no—
132C2×C3×C22⋊C4—21no—
133C2×C3×C22⋊C4D411yescharacteristic
134C2×C3×C22⋊C4D411yescharacteristic
135C2×C3×C42—21no—
136C2×C3×C42C2311yescharacteristic
137C2×C3×C42C2311yescharacteristic
138C3×#107—22no—
139C3×#107—22no—
140C3×#107—22no—
141C3×#107—22no—
142C3×#106—22no—
143C3×#106—22no—
144C3×#106—22no—
145C3×#106—22no—
146C3×C22⋊C8Q814yescomplemented
147C3×C22⋊C8Q814yescomplemented
148C3×#97—22no—
149C3×C4×C8—22no—
150C3×#95—21no—
151C3×#95—21no—
152C3×#95—21no—
153C3×#95—21no—
154#544—24no—
155#544—24no—
156C2×C4⋊Q8—21no—
157C2×C4⋊Q8C22×C311yescharacteristic
158C2×C4⋊Q8C22×C311yescharacteristic
159C2×#125—21no—
160C2×#125C22×C311yescharacteristic
161C2×#125C22×C311yescharacteristic
162C2×#125C22×C311yescharacteristic
163C2×C22⋊Q8—21no—
164C2×C22⋊Q8—21no—
165C2×#117C22×C311yescharacteristic
166C2×#117C22×C311yescharacteristic
167C22×C4⋊C4C22×C311yescharacteristic
168#501—24no—
169#499—24no—
170C2×#107C22×C311yescharacteristic
171C2×#107C22×C311yescharacteristic
172C2×#107C22×C311yescharacteristic
173C2×#107C22×C311yescharacteristic
174C2×#106C22×C311yescharacteristic
175C2×#106C22×C311yescharacteristic
176C2×#106C22×C311yescharacteristic
177C2×#106C22×C311yescharacteristic
178C2×C22⋊C8C22×C311yescharacteristic
179C2×C22⋊C8C22×C311yescharacteristic
180C2×#97C22×C311yescharacteristic
181C2×C4×C8C22×C311yescharacteristic
182#398—21no—
183#398—21no—
184#396—21no—
185#396—21no—
186#389C22×C311yescharacteristic
187#389C22×C311yescharacteristic
188#384C22×C311yescharacteristic
189#380C22×C311yescharacteristic
190#380C22×C311yescharacteristic
191#340C22×C311yescharacteristic
192#340C22×C311yescharacteristic
193#340C22×C311yescharacteristic
194#340C22×C311yescharacteristic
195#340C22×C311yescharacteristic
196#340C22×C311yescharacteristic
197#340C22×C311yescharacteristic
198#340C22×C311yescharacteristic
199#336C22×C311yescharacteristic
200#336C22×C311yescharacteristic
201C24×C3C2×D411yescharacteristic
202C2×C3×Q8—24no—
203C2×C3×Q8—24no—
204C2×C3×Q8—81no—
205C2×C3×Q8—81no—
206C2×C3×Q8—81no—
207C2×C3×Q8—81no—
208C22×C3×C4—21no—
209C22×C3×C4—21no—
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—24no—
217C22×C3×C4—21no—
218C22×C3×C4—21no—
219C22×C3×C4—21no—
220C22×C3×C4—21no—
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×Q812yes—
229C22×C3×C4C2×Q812yes—
230C22×C3×C4C2411yescharacteristic
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×C8C2×Q812yes—
240C2×C3×C8C2×Q812yes—
241C2×C3×C8C2×Q812yes—
242C2×C3×C8C2×Q812yes—
243C3×C4⋊C4—24no—
244C3×C4⋊C4—24no—
245C3×C4⋊C4—24no—
246C3×C4⋊C4—24no—
247C3×C4⋊C4—24no—
248C3×C4⋊C4—24no—
249C3×C4⋊C4—24no—
250C3×C4⋊C4—22no—
251C3×C4⋊C4—22no—
252C3×C4⋊C4—21no—
253C3×C4⋊C4—21no—
254C3×C4⋊C4—21no—
255C3×C4⋊C4—21no—
256C3×C4⋊C4—21no—
257C3×C4⋊C4—21no—
258C3×C4⋊C4—21no—
259C3×C4⋊C4—21no—
260C3×C4⋊C4—21no—
261C3×C4⋊C4—21no—
262C3×C4⋊C4—21no—
263C3×C4⋊C4—21no—
264C3×C4⋊C4—42no—
265C3×C4⋊C4—42no—
266C3×C4⋊C4—81no—
267C3×C4⋊C4—81no—
268C3×C4⋊C4—81no—
269C3×C4⋊C4—81no—
270C3×C4⋊C4C2×D412yes—
271C3×C4⋊C4C2×D412yes—
272C3×C4⋊C4C2×D412yes—
273C3×C4⋊C4C2×D412yes—
274C3×C22⋊C4—24no—
275C3×C22⋊C4—22no—
276C3×C22⋊C4—22no—
277C3×C22⋊C4—81no—
278C3×C22⋊C4—81no—
279C3×C42—24no—
280C3×C42—21no—
281C3×C42—21no—
282C3×C42C2×D412yes—
283C3×C42C2×D412yes—
284C22×Q8—21no—
285C22×Q8—21no—
286C23×C4—21no—
287C23×C4C23×C311yescharacteristic
288C22×C8C23×C311yescharacteristic
289C22×C8C23×C311yescharacteristic
290C22×C8C23×C311yescharacteristic
291C22×C8C23×C311yescharacteristic
292C4⋊Q8—28no—
293C4⋊Q8—22no—
294C4⋊Q8—22no—
295C4⋊Q8—22no—
296C4⋊Q8C3×D414yes—
297#125—28no—
298#125—22no—
299#125—22no—
300#125—22no—
301#125—22no—
302#125—22no—
303#125C3×D414yes—
304C22⋊Q8—28no—
305C22⋊Q8—28no—
306#117—22no—
307#117—22no—
308#117—22no—
309#117—22no—
310C2×C4⋊C4—21no—
311C2×C4⋊C4—21no—
312C2×C4⋊C4—21no—
313C2×C4⋊C4—21no—
314C2×C4⋊C4—21no—
315C2×C4⋊C4—21no—
316C2×C4⋊C4—21no—
317C2×C4⋊C4—22no—
318C2×C4⋊C4—22no—
319C2×C4⋊C4—21no—
320C2×C4⋊C4—21no—
321C2×C4⋊C4—21no—
322C2×C4⋊C4—21no—
323C2×C4⋊C4—21no—
324C2×C4⋊C4—21no—
325C2×C4⋊C4C3×D411yescharacteristic
326C2×C4⋊C4C3×D411yescharacteristic
327C2×C4⋊C4C23×C311yescharacteristic
328C2×C4⋊C4C23×C311yescharacteristic
329C2×C4⋊C4C23×C311yescharacteristic
330C2×C4⋊C4C23×C311yescharacteristic
331C2×C4⋊C4C23×C311yescharacteristic
332C2×C4⋊C4C23×C311yescharacteristic
333C2×C4⋊C4C23×C311yescharacteristic
334C2×C4⋊C4C23×C311yescharacteristic
335C2×C22⋊C4—21no—
336C2×C22⋊C4—21no—
337C2×C22⋊C4—21no—
338C2×C22⋊C4C3×D411yescharacteristic
339C2×C22⋊C4C3×D411yescharacteristic
340C2×C42—21no—
341C2×C42C23×C311yescharacteristic
342C2×C42C23×C311yescharacteristic
343#107—22no—
344#107—22no—
345#107—22no—
346#107—22no—
347#106—22no—
348#106—22no—
349#106—22no—
350#106—22no—
351C22⋊C8C3×Q814yescomplemented
352C22⋊C8C3×Q814yescomplemented
353#97—22no—
354C4×C8—22no—
355#95—21no—
356#95—21no—
357#95—21no—
358#95—21no—
359C23×C3—21no—
360C23×C3—21no—
361C23×C3—21no—
362C23×C3—21no—
363C23×C3—21no—
364C23×C3—21no—
365C23×C3C4⋊Q812yes—
366C23×C3C22×D411yescharacteristic
367C3×Q8—84no—
368C3×Q8—84no—
369C2×C3×C4—21no—
370C2×C3×C4—21no—
371C2×C3×C4—21no—
372C2×C3×C4—21no—
373C2×C3×C4—21no—
374C2×C3×C4—21no—
375C2×C3×C4—22no—
376C2×C3×C4—22no—
377C2×C3×C4—22no—
378C2×C3×C4—22no—
379C2×C3×C4—21no—
380C2×C3×C4—22no—
381C2×C3×C4—21no—
382C2×C3×C4—22no—
383C2×C3×C4—22no—
384C2×C3×C4—22no—
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—41no—
406C2×C3×C4—41no—
407C2×C3×C4—41no—
408C2×C3×C4—41no—
409C2×C3×C4—84no—
410C2×C3×C4#12012yes—
411C2×C3×C4#12012yes—
412C2×C3×C4C4⋊Q812yes—
413C2×C3×C4C22×D411yescharacteristic
414C2×C3×C4C22×D411yescharacteristic
415C2×C3×C4C22×Q811yescharacteristic
416C2×C3×C4C22×Q811yescharacteristic
417C2×C3×C42−1+411yescharacteristic
418C2×C3×C42−1+411yescharacteristic
419C3×C8—22no—
420C3×C8—22no—
421C3×C8—22no—
422C3×C8—22no—
423C24C2×C3×D411yescharacteristic
424C2×Q8—24no—
425C2×Q8—24no—
426C2×Q8—81no—
427C2×Q8—81no—
428C2×Q8—81no—
429C2×Q8—81no—
430C22×C4—21no—
431C22×C4—21no—
432C22×C4—21no—
433C22×C4—21no—
434C22×C4—21no—
435C22×C4—21no—
436C22×C4—21no—
437C22×C4—21no—
438C22×C4—24no—
439C22×C4—21no—
440C22×C4—21no—
441C22×C4—21no—
442C22×C4—21no—
443C22×C4—81no—
444C22×C4—81no—
445C22×C4C2×C3×D411yescharacteristic
446C22×C4C2×C3×D411yescharacteristic
447C22×C4C2×C3×D411yescharacteristic
448C22×C4C2×C3×D411yescharacteristic
449C22×C4C2×C3×D411yescharacteristic
450C22×C4C2×C3×Q812yes—
451C22×C4C2×C3×Q812yes—
452C22×C4C24×C311yescharacteristic
453C2×C8—21no—
454C2×C8—21no—
455C2×C8—21no—
456C2×C8—21no—
457C2×C8—21no—
458C2×C8—21no—
459C2×C8—21no—
460C2×C8—21no—
461C2×C8C2×C3×Q812yes—
462C2×C8C2×C3×Q812yes—
463C2×C8C2×C3×Q812yes—
464C2×C8C2×C3×Q812yes—
465C4⋊C4—24no—
466C4⋊C4—24no—
467C4⋊C4—24no—
468C4⋊C4—24no—
469C4⋊C4—24no—
470C4⋊C4—24no—
471C4⋊C4—24no—
472C4⋊C4—22no—
473C4⋊C4—22no—
474C4⋊C4—21no—
475C4⋊C4—21no—
476C4⋊C4—21no—
477C4⋊C4—21no—
478C4⋊C4—21no—
479C4⋊C4—21no—
480C4⋊C4—21no—
481C4⋊C4—21no—
482C4⋊C4—21no—
483C4⋊C4—21no—
484C4⋊C4—21no—
485C4⋊C4—21no—
486C4⋊C4—42no—
487C4⋊C4—42no—
488C4⋊C4—81no—
489C4⋊C4—81no—
490C4⋊C4—81no—
491C4⋊C4—81no—
492C4⋊C4C2×C3×D412yes—
493C4⋊C4C2×C3×D412yes—
494C4⋊C4C2×C3×D412yes—
495C4⋊C4C2×C3×D412yes—
496C22⋊C4—24no—
497C22⋊C4—22no—
498C22⋊C4—22no—
499C22⋊C4—81no—
500C22⋊C4—81no—
501C42—24no—
502C42—21no—
503C42—21no—
504C42C2×C3×D412yes—
505C42C2×C3×D412yes—
506C22×C3—22no—
507C22×C3—22no—
508C22×C3—22no—
509C22×C3—41no—
510C22×C3—41no—
511C22×C3—41no—
512C22×C3—41no—
513C22×C3C2×#12011yescharacteristic
514C22×C3C2×C4⋊Q811yescharacteristic
515C22×C3#53611yescharacteristic
516C22×C3#57611yescharacteristic
517C22×C3#57711yescharacteristic
518C22×C3#57711yescharacteristic
519C22×C3#57811yescharacteristic
520C3×C4—22no—
521C3×C4—22no—
522C3×C4—22no—
523C3×C4—41no—
524C3×C4—42no—
525C3×C4—42no—
526C3×C4—42no—
527C3×C4—41no—
528C3×C4—42no—
529C3×C4—81no—
530C3×C4—81no—
531C3×C4—81no—
532C3×C4—81no—
533C3×C4D4×Q811yescharacteristic
534C3×C4D4×Q811yescharacteristic
535C3×C4D4×Q811yescharacteristic
536C3×C4D4×Q811yescharacteristic
537C23—21no—
538C23—21no—
539C23—21no—
540C23—21no—
541C23—21no—
542C23—21no—
543C23C3×C4⋊Q812yes—
544C23C22×C3×D411yescharacteristic
545Q8—84no—
546Q8—84no—
547C2×C4—21no—
548C2×C4—21no—
549C2×C4—21no—
550C2×C4—21no—
551C2×C4—21no—
552C2×C4—21no—
553C2×C4—22no—
554C2×C4—22no—
555C2×C4—22no—
556C2×C4—22no—
557C2×C4—21no—
558C2×C4—21no—
559C2×C4—21no—
560C2×C4—21no—
561C2×C4—21no—
562C2×C4—22no—
563C2×C4—21no—
564C2×C4—22no—
565C2×C4—22no—
566C2×C4—22no—
567C2×C4—41no—
568C2×C4—41no—
569C2×C4—41no—
570C2×C4—41no—
571C2×C4—41no—
572C2×C4—41no—
573C2×C4—41no—
574C2×C4—41no—
575C2×C4—41no—
576C2×C4—41no—
577C2×C4—41no—
578C2×C4—41no—
579C2×C4—41no—
580C2×C4—41no—
581C2×C4—41no—
582C2×C4—41no—
583C2×C4—41no—
584C2×C4—41no—
585C2×C4—41no—
586C2×C4—41no—
587C2×C4—84no—
588C2×C4C3×#12012yes—
589C2×C4C3×#12012yes—
590C2×C4C3×C4⋊Q812yes—
591C2×C4C22×C3×D411yescharacteristic
592C2×C4C22×C3×D411yescharacteristic
593C2×C4C22×C3×Q811yescharacteristic
594C2×C4C22×C3×Q811yescharacteristic
595C2×C4C3×2−1+411yescharacteristic
596C2×C4C3×2−1+411yescharacteristic
597C8—22no—
598C8—22no—
599C8—22no—
600C8—22no—
601C2×C3—42no—
602C2×C3#243411yescharacteristic
603C2×C3#301211yescharacteristic
604C2×C3#301311yescharacteristic
605C2×C3#316311yescharacteristic
606C2×C3#316411yescharacteristic
607C2×C3#324111yescharacteristic
608C2×C3#324211yescharacteristic
609C22—22no—
610C22—22no—
611C22—22no—
612C22—41no—
613C22—41no—
614C22—41no—
615C22—41no—
616C22C2×C3×#12011yescharacteristic
617C22C2×C3×C4⋊Q811yescharacteristic
618C22C3×#53611yescharacteristic
619C22C3×#57611yescharacteristic
620C22C3×#57711yescharacteristic
621C22C3×#57711yescharacteristic
622C22C3×#57811yescharacteristic
623C4—22no—
624C4—22no—
625C4—22no—
626C4—41no—
627C4—42no—
628C4—42no—
629C4—42no—
630C4—41no—
631C4—42no—
632C4—81no—
633C4—81no—
634C4—81no—
635C4—81no—
636C4C3×D4×Q811yescharacteristic
637C4C3×D4×Q811yescharacteristic
638C4C3×D4×Q811yescharacteristic
639C4C3×D4×Q811yescharacteristic
640C3#2582211yescharacteristic, direct product factor, Sylow
641C2—42no—
642C2C3×#243411yescharacteristic
643C2C3×#301211yescharacteristic
644C2C3×#301311yescharacteristic
645C2C3×#316311yescharacteristic
646C2C3×#316411yescharacteristic
647C2C3×#324111yescharacteristic
648C2C3×#324211yescharacteristic
subgroupG/H
center, socleC23×C3C22×D4
commutator, Frattini, cosocleC22×C4C24×C3
prime radicalC24×C3C2×D4
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23×C3 ◁ C2×C3×#117 ◁ G

Complements

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

NH ≅ G/Ntype
2. C2×C3×#501C2semidirect
3. C2×C3×#499C2semidirect
5. C3×#2059C2semidirect
6. C3×#2059C2semidirect
7. C3×#2058C2semidirect
8. C3×#2057C2semidirect
9. C3×#1992C2semidirect
10. C3×#1990C2semidirect
16. #25822C3direct (N × H)
65. C2×#501C2×C3semidirect
66. C2×#499C2×C3semidirect
68. #2059C2×C3semidirect
69. #2059C2×C3semidirect
70. #2058C2×C3semidirect
71. #2057C2×C3semidirect
72. #1992C2×C3semidirect
73. #1990C2×C3semidirect
146. C3×C22⋊C8Q8semidirect
147. C3×C22⋊C8Q8semidirect
351. C22⋊C8C3×Q8semidirect
352. C22⋊C8C3×Q8semidirect
640. C3#25822direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C3×#5442
C2×C3×#5012
C2×C3×#4992
C3×#26292
C3×#20592
C3×#20582
C3×#20572
C3×#19922
C3×#19902
C3×#18542
C3×#18532
C3×#18522
C3×#17502
#258223