Finite Group Databasebeta

← C3×#27751 #10646358

Subgroups — C3×#27751 #10646358

Order 768.

776 conjugacy classes of subgroups.

The subgroup lattice has 666 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C3×#2570C211yesmaximal, characteristic, complemented
2C3×#2544C211yesmaximal, characteristic
3C3×#2073C211yesmaximal, characteristic, complemented
4C3×#2072C211yesmaximal, characteristic, complemented
5C3×#2042C211yesmaximal, characteristic, complemented
6C3×#2041C211yesmaximal, characteristic
7C3×#1983C211yesmaximal, characteristic, complemented
8C3×#1958C211yesmaximal, characteristic, complemented
9C3×#1958C211yesmaximal, characteristic, complemented
10C3×#1957C211yesmaximal, characteristic
11C3×#1934C211yesmaximal, characteristic, complemented
12C3×#1933C211yesmaximal, characteristic, complemented
13C3×#1804C211yesmaximal, characteristic, complemented
14C3×C8×C4⋊C4C211yesmaximal, characteristic, complemented
15C3×C4×#102C211yesmaximal, characteristic, complemented
16#27751C311yesmaximal, characteristic, direct product factor, Sylow
17C2×C3×#127C2211yescharacteristic
18C2×C3×#124C2211yescharacteristic
19C2×C3×#124C2211yescharacteristic
20C2×C3×C4×D4C2211yescharacteristic
21C2×C3×C4⋊C8C2211yescharacteristic
22C2×C3×#103C2211yescharacteristic
23C2×C3×#103C2211yescharacteristic
24C2×C3×#103C2211yescharacteristic
25C2×C3×#103C2211yescharacteristic
26C2×C3×#102C2211yescharacteristic
27C2×C3×#102C2211yescharacteristic
28C2×C3×#102C2211yescharacteristic
29C2×C3×#102C2211yescharacteristic
30C2×C3×#102C2211yescharacteristic
31C2×C3×#102C2211yescharacteristic
32C2×C3×#102C2211yescharacteristic
33C2×C3×#102C2211yescharacteristic
34C2×C3×C4×C8C2211yescharacteristic
35C2×C3×C4×C8C2211yescharacteristic
36C2×C3×C4×C8C2211yescharacteristic
37C3×#400—21no—
38C3×#398—21no—
39C3×#394—21no—
40C3×#394—21no—
41C3×#391C2211yescharacteristic
42C3×#390C2211yescharacteristic
43C3×#389C2211yescharacteristic
44C3×#389C2211yescharacteristic
45C3×#387—21no—
46C3×#387—21no—
47C3×#386—21no—
48C3×#386—21no—
49C3×#384C2211yescharacteristic
50C3×#382C2211yescharacteristic
51C3×#382C2211yescharacteristic
52C3×C4×C4⋊C4C2211yescharacteristic
53C3×C4×C4⋊C4C2211yescharacteristic
54C3×#340C2211yescharacteristic
55C3×#340C2211yescharacteristic
56C3×#340C2211yescharacteristic
57C3×#340C2211yescharacteristic
58C3×#336C2211yescharacteristic
59C3×#336C2211yescharacteristic
60#2570C2×C311yescharacteristic, complemented
61#2544C2×C311yescharacteristic
62#2073C2×C311yescharacteristic, complemented
63#2072C2×C311yescharacteristic, complemented
64#2042C2×C311yescharacteristic, complemented
65#2041C2×C311yescharacteristic
66#1983C2×C311yescharacteristic, complemented
67#1958C2×C311yescharacteristic, complemented
68#1958C2×C311yescharacteristic, complemented
69#1957C2×C311yescharacteristic
70#1934C2×C311yescharacteristic, complemented
71#1933C2×C311yescharacteristic, complemented
72#1804C2×C311yescharacteristic, complemented
73C8×C4⋊C4C2×C311yescharacteristic, complemented
74C4×#102C2×C311yescharacteristic, complemented
75C22×C3×Q8C2311yescharacteristic
76C22×C3×D4—21no—
77C22×C3×D4—21no—
78C22×C3×D4C2311yescharacteristic
79C22×C3×D4C2311yescharacteristic
80C23×C3×C4—21no—
81C22×C3×C8C2311yescharacteristic
82C22×C3×C8C2311yescharacteristic
83C22×C3×C8C2311yescharacteristic
84C22×C3×C8C2311yescharacteristic
85C3×#127—22no—
86C3×#127—41no—
87C3×#124—22no—
88C3×#124—22no—
89C3×#124—22no—
90C3×#124—41no—
91C3×C4×D4—22no—
92C3×C4×D4—22no—
93C2×C3×C4⋊C4—21no—
94C2×C3×C4⋊C4—21no—
95C2×C3×C4⋊C4—21no—
96C2×C3×C4⋊C4—21no—
97C2×C3×C4⋊C4D411yescharacteristic
98C2×C3×C4⋊C4D411yescharacteristic
99C2×C3×C4⋊C4C2311yescharacteristic
100C2×C3×C4⋊C4C2311yescharacteristic
101C2×C3×C4⋊C4C2311yescharacteristic
102C2×C3×C4⋊C4C2311yescharacteristic
103C2×C3×C4⋊C4C2311yescharacteristic
104C2×C3×C22⋊C4—21no—
105C2×C3×C22⋊C4—21no—
106C2×C3×C22⋊C4—21no—
107C2×C3×C22⋊C4—21no—
108C2×C3×C22⋊C4—21no—
109C2×C3×C22⋊C4—21no—
110C2×C3×C22⋊C4—21no—
111C2×C3×C42—21no—
112C2×C3×C42C2311yescharacteristic
113C2×C3×C42C2311yescharacteristic
114C2×C3×C42C2311yescharacteristic
115C3×C4⋊C8—22no—
116C3×#103—22no—
117C3×#103—41no—
118C3×#103—41no—
119C3×#103—41no—
120C3×#102—22no—
121C3×#102—22no—
122C3×#102—22no—
123C3×#102—41no—
124C3×#102—41no—
125C3×#102—41no—
126C3×#102—41no—
127C3×#102—41no—
128C3×C4×C8—22no—
129C3×C4×C8—41no—
130C3×C4×C8—41no—
131C3×#95—21no—
132C3×#95—21no—
133C3×#95—21no—
134C3×#95—21no—
135C3×#95—21no—
136C3×#95—21no—
137C3×#95—21no—
138C3×#95—21no—
139C3×#95—21no—
140C3×#95D411yescharacteristic
141C3×#95D411yescharacteristic
142C2×#127C22×C311yescharacteristic
143C2×#124C22×C311yescharacteristic
144C2×#124C22×C311yescharacteristic
145C2×C4×D4C22×C311yescharacteristic
146C2×C4⋊C8C22×C311yescharacteristic
147C2×#103C22×C311yescharacteristic
148C2×#103C22×C311yescharacteristic
149C2×#103C22×C311yescharacteristic
150C2×#103C22×C311yescharacteristic
151C2×#102C22×C311yescharacteristic
152C2×#102C22×C311yescharacteristic
153C2×#102C22×C311yescharacteristic
154C2×#102C22×C311yescharacteristic
155C2×#102C22×C311yescharacteristic
156C2×#102C22×C311yescharacteristic
157C2×#102C22×C311yescharacteristic
158C2×#102C22×C311yescharacteristic
159C2×C4×C8C22×C311yescharacteristic
160C2×C4×C8C22×C311yescharacteristic
161C2×C4×C8C22×C311yescharacteristic
162#400—21no—
163#398—21no—
164#394—21no—
165#394—21no—
166#391C22×C311yescharacteristic
167#390C22×C311yescharacteristic
168#389C22×C311yescharacteristic
169#389C22×C311yescharacteristic
170#387—21no—
171#387—21no—
172#386—21no—
173#386—21no—
174#384C22×C311yescharacteristic
175#382C22×C311yescharacteristic
176#382C22×C311yescharacteristic
177C4×C4⋊C4C22×C311yescharacteristic
178C4×C4⋊C4C22×C311yescharacteristic
179#340C22×C311yescharacteristic
180#340C22×C311yescharacteristic
181#340C22×C311yescharacteristic
182#340C22×C311yescharacteristic
183#336C22×C311yescharacteristic
184#336C22×C311yescharacteristic
185C24×C3—21no—
186C24×C3—21no—
187C2×C3×Q8—21no—
188C2×C3×Q8—21no—
189C2×C3×Q8—21no—
190C2×C3×Q8—21no—
191C2×C3×Q8—21no—
192C2×C3×Q8—21no—
193C2×C3×D4—21no—
194C2×C3×D4—21no—
195C2×C3×D4—21no—
196C2×C3×D4—21no—
197C2×C3×D4—21no—
198C2×C3×D4—21no—
199C2×C3×D4—21no—
200C2×C3×D4—21no—
201C2×C3×D4—21no—
202C2×C3×D4—21no—
203C2×C3×D4—21no—
204C2×C3×D4—42no—
205C2×C3×D4—42no—
206C2×C3×D4—42no—
207C2×C3×D4—42no—
208C2×C3×D4—81no—
209C2×C3×D4—81no—
210C2×C3×D4#4112yes—
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—42no—
218C22×C3×C4—81no—
219C22×C3×C4—81no—
220C22×C3×C4C2×D411yescharacteristic
221C22×C3×C4C2×D411yescharacteristic
222C22×C3×C4C2×D411yescharacteristic
223C22×C3×C4C2×D411yescharacteristic
224C22×C3×C4C2×D411yescharacteristic
225C22×C3×C4C2×D411yescharacteristic
226C22×C3×C4C2411yescharacteristic
227C2×C3×C8—21no—
228C2×C3×C8—21no—
229C2×C3×C8—21no—
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#4112yes—
239C3×C4⋊C4—22no—
240C3×C4⋊C4—22no—
241C3×C4⋊C4—21no—
242C3×C4⋊C4—21no—
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—42no—
252C3×C4⋊C4—42no—
253C3×C4⋊C4—81no—
254C3×C4⋊C4—81no—
255C3×C22⋊C4—42no—
256C3×C22⋊C4—42no—
257C3×C22⋊C4—42no—
258C3×C22⋊C4—42no—
259C3×C22⋊C4—42no—
260C3×C22⋊C4—81no—
261C3×C22⋊C4—81no—
262C3×C42—21no—
263C3×C42—21no—
264C3×C42—21no—
265C3×C42—21no—
266C3×C42—81no—
267C3×C42#4112yes—
268C3×C42#4112yes—
269C22×Q8C23×C311yescharacteristic
270C22×D4—21no—
271C22×D4—21no—
272C22×D4C23×C311yescharacteristic
273C22×D4C23×C311yescharacteristic
274C23×C4—21no—
275C22×C8C23×C311yescharacteristic
276C22×C8C23×C311yescharacteristic
277C22×C8C23×C311yescharacteristic
278C22×C8C23×C311yescharacteristic
279#127—22no—
280#127—41no—
281#124—22no—
282#124—22no—
283#124—22no—
284#124—41no—
285C4×D4—22no—
286C4×D4—22no—
287C2×C4⋊C4—21no—
288C2×C4⋊C4—21no—
289C2×C4⋊C4—21no—
290C2×C4⋊C4—21no—
291C2×C4⋊C4C3×D411yescharacteristic
292C2×C4⋊C4C3×D411yescharacteristic
293C2×C4⋊C4C23×C311yescharacteristic
294C2×C4⋊C4C23×C311yescharacteristic
295C2×C4⋊C4C23×C311yescharacteristic
296C2×C4⋊C4C23×C311yescharacteristic
297C2×C4⋊C4C23×C311yescharacteristic
298C2×C22⋊C4—21no—
299C2×C22⋊C4—21no—
300C2×C22⋊C4—21no—
301C2×C22⋊C4—21no—
302C2×C22⋊C4—21no—
303C2×C22⋊C4—21no—
304C2×C22⋊C4—21no—
305C2×C42—21no—
306C2×C42C23×C311yescharacteristic
307C2×C42C23×C311yescharacteristic
308C2×C42C23×C311yescharacteristic
309C4⋊C8—22no—
310#103—22no—
311#103—41no—
312#103—41no—
313#103—41no—
314#102—22no—
315#102—22no—
316#102—22no—
317#102—41no—
318#102—41no—
319#102—41no—
320#102—41no—
321#102—41no—
322C4×C8—22no—
323C4×C8—41no—
324C4×C8—41no—
325#95—21no—
326#95—21no—
327#95—21no—
328#95—21no—
329#95—21no—
330#95—21no—
331#95—21no—
332#95—21no—
333#95—21no—
334#95C3×D411yescharacteristic
335#95C3×D411yescharacteristic
336C23×C3—22no—
337C23×C3—41no—
338C23×C3—41no—
339C23×C3—41no—
340C23×C3—41no—
341C23×C3—41no—
342C23×C3—41no—
343C23×C3—41no—
344C23×C3—41no—
345C23×C3—41no—
346C23×C3—41no—
347C23×C3—41no—
348C23×C3—41no—
349C23×C3—41no—
350C23×C3C22×D411yescharacteristic
351C3×Q8—41no—
352C3×Q8—41no—
353C3×Q8—41no—
354C3×Q8—41no—
355C3×D4—22no—
356C3×D4—22no—
357C3×D4—41no—
358C3×D4—41no—
359C3×D4—41no—
360C3×D4—41no—
361C3×D4—41no—
362C3×D4—41no—
363C3×D4—84no—
364C3×D4—84no—
365C2×C3×C4—21no—
366C2×C3×C4—21no—
367C2×C3×C4—21no—
368C2×C3×C4—21no—
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—21no—
376C2×C3×C4—21no—
377C2×C3×C4—21no—
378C2×C3×C4—21no—
379C2×C3×C4—41no—
380C2×C3×C4—41no—
381C2×C3×C4—41no—
382C2×C3×C4—41no—
383C2×C3×C4—41no—
384C2×C3×C4—41no—
385C2×C3×C4—41no—
386C2×C3×C4—41no—
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—84no—
398C2×C3×C4#12412yes—
399C2×C3×C4#12412yes—
400C2×C3×C4#13512yes—
401C2×C3×C4#13512yes—
402C2×C3×C4C2×#4111yescharacteristic
403C2×C3×C4C2×#4111yescharacteristic
404C2×C3×C4C2×#4111yescharacteristic
405C2×C3×C4C2×#4111yescharacteristic
406C2×C3×C4H(5,𝔽2)11yescharacteristic
407C2×C3×C4H(5,𝔽2)11yescharacteristic
408C3×C8—22no—
409C3×C8—41no—
410C3×C8—41no—
411C3×C8—41no—
412C24—21no—
413C24—21no—
414C2×Q8—21no—
415C2×Q8—21no—
416C2×Q8—21no—
417C2×Q8—21no—
418C2×Q8—21no—
419C2×Q8—21no—
420C2×D4—21no—
421C2×D4—21no—
422C2×D4—21no—
423C2×D4—21no—
424C2×D4—21no—
425C2×D4—21no—
426C2×D4—21no—
427C2×D4—21no—
428C2×D4—21no—
429C2×D4—21no—
430C2×D4—21no—
431C2×D4—42no—
432C2×D4—42no—
433C2×D4—42no—
434C2×D4—42no—
435C2×D4—81no—
436C2×D4—81no—
437C2×D4C3×#4112yes—
438C22×C4—21no—
439C22×C4—21no—
440C22×C4—21no—
441C22×C4—21no—
442C22×C4—21no—
443C22×C4—21no—
444C22×C4—42no—
445C22×C4—81no—
446C22×C4—81no—
447C22×C4C2×C3×D411yescharacteristic
448C22×C4C2×C3×D411yescharacteristic
449C22×C4C2×C3×D411yescharacteristic
450C22×C4C2×C3×D411yescharacteristic
451C22×C4C2×C3×D411yescharacteristic
452C22×C4C2×C3×D411yescharacteristic
453C22×C4C24×C311yescharacteristic
454C2×C8—21no—
455C2×C8—21no—
456C2×C8—21no—
457C2×C8—21no—
458C2×C8—21no—
459C2×C8—21no—
460C2×C8—21no—
461C2×C8—21no—
462C2×C8—21no—
463C2×C8—21no—
464C2×C8—21no—
465C2×C8C3×#4112yes—
466C4⋊C4—22no—
467C4⋊C4—22no—
468C4⋊C4—21no—
469C4⋊C4—21no—
470C4⋊C4—21no—
471C4⋊C4—21no—
472C4⋊C4—21no—
473C4⋊C4—21no—
474C4⋊C4—21no—
475C4⋊C4—21no—
476C4⋊C4—21no—
477C4⋊C4—21no—
478C4⋊C4—42no—
479C4⋊C4—42no—
480C4⋊C4—81no—
481C4⋊C4—81no—
482C22⋊C4—42no—
483C22⋊C4—42no—
484C22⋊C4—42no—
485C22⋊C4—42no—
486C22⋊C4—42no—
487C22⋊C4—81no—
488C22⋊C4—81no—
489C42—21no—
490C42—21no—
491C42—21no—
492C42—21no—
493C42—81no—
494C42C3×#4112yes—
495C42C3×#4112yes—
496C22×C3—42no—
497C22×C3—42no—
498C22×C3—42no—
499C22×C3—81no—
500C22×C3—81no—
501C22×C3—81no—
502C22×C3—81no—
503C22×C3—81no—
504C22×C3—81no—
505C22×C3—81no—
506C22×C3—81no—
507C22×C3—81no—
508C22×C3—81no—
509C22×C3—81no—
510C22×C3C2×#12411yescharacteristic
511C22×C3#54611yescharacteristic
512C22×C3#55011yescharacteristic
513C22×C3C2×#13511yescharacteristic
514C22×C3C2×#13511yescharacteristic
515C22×C3#57611yescharacteristic
516C22×C3#57711yescharacteristic
517C3×C4—22no—
518C3×C4—22no—
519C3×C4—22no—
520C3×C4—22no—
521C3×C4—41no—
522C3×C4—41no—
523C3×C4—81no—
524C3×C4—81no—
525C3×C4—81no—
526C3×C4—81no—
527C3×C4—81no—
528C3×C4—81no—
529C3×C4#52911yescharacteristic
530C3×C4#54011yescharacteristic
531C3×C4#55311yescharacteristic
532C3×C4#55311yescharacteristic
533C23—22no—
534C23—41no—
535C23—41no—
536C23—41no—
537C23—41no—
538C23—41no—
539C23—41no—
540C23—41no—
541C23—41no—
542C23—41no—
543C23—41no—
544C23—41no—
545C23—41no—
546C23—41no—
547C23C22×C3×D411yescharacteristic
548Q8—41no—
549Q8—41no—
550Q8—41no—
551Q8—41no—
552D4—22no—
553D4—22no—
554D4—41no—
555D4—41no—
556D4—41no—
557D4—41no—
558D4—41no—
559D4—41no—
560D4—84no—
561D4—84no—
562C2×C4—21no—
563C2×C4—21no—
564C2×C4—21no—
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—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—41no—
588C2×C4—41no—
589C2×C4—41no—
590C2×C4—41no—
591C2×C4—41no—
592C2×C4—41no—
593C2×C4—41no—
594C2×C4—84no—
595C2×C4C3×#12412yes—
596C2×C4C3×#12412yes—
597C2×C4C3×#13512yes—
598C2×C4C3×#13512yes—
599C2×C4C2×C3×#4111yescharacteristic
600C2×C4C2×C3×#4111yescharacteristic
601C2×C4C2×C3×#4111yescharacteristic
602C2×C4C2×C3×#4111yescharacteristic
603C2×C4C3×H(5,𝔽2)11yescharacteristic
604C2×C4C3×H(5,𝔽2)11yescharacteristic
605C8—22no—
606C8—41no—
607C8—41no—
608C8—41no—
609C2×C3—82no—
610C2×C3—161no—
611C2×C3#249011yescharacteristic
612C2×C3#313111yescharacteristic
613C2×C3#313611yescharacteristic
614C2×C3#329611yescharacteristic
615C2×C3#329711yescharacteristic
616C2×C3#339411yescharacteristic
617C2×C3#339611yescharacteristic
618C22—42no—
619C22—42no—
620C22—42no—
621C22—81no—
622C22—81no—
623C22—81no—
624C22—81no—
625C22—81no—
626C22—81no—
627C22—81no—
628C22—81no—
629C22—81no—
630C22—81no—
631C22—81no—
632C22C2×C3×#12411yescharacteristic
633C22C3×#54611yescharacteristic
634C22C3×#55011yescharacteristic
635C22C2×C3×#13511yescharacteristic
636C22C2×C3×#13511yescharacteristic
637C22C3×#57611yescharacteristic
638C22C3×#57711yescharacteristic
639C4—22no—
640C4—22no—
641C4—22no—
642C4—22no—
643C4—41no—
644C4—41no—
645C4—81no—
646C4—81no—
647C4—81no—
648C4—81no—
649C4—81no—
650C4—81no—
651C4C3×#52911yescharacteristic
652C4C3×#54011yescharacteristic
653C4C3×#55311yescharacteristic
654C4C3×#55311yescharacteristic
655C3#2775111yescharacteristic, direct product factor, Sylow
656C2—82no—
657C2—161no—
658C2C3×#249011yescharacteristic
659C2C3×#313111yescharacteristic
660C2C3×#313611yescharacteristic
661C2C3×#329611yescharacteristic
662C2C3×#329711yescharacteristic
663C2C3×#339411yescharacteristic
664C2C3×#339611yescharacteristic
subgroupG/H
center, socleC23×C3C22×D4
commutator, Frattini, cosocleC22×C4C24×C3
prime radicalC2×C3×#127C22
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23×C3 ◁ C3×C4×C4⋊C4 ◁ G

Complements

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

NH ≅ G/Ntype
1. C3×#2570C2semidirect
3. C3×#2073C2semidirect
4. C3×#2072C2semidirect
5. C3×#2042C2semidirect
7. C3×#1983C2semidirect
8. C3×#1958C2semidirect
9. C3×#1958C2semidirect
11. C3×#1934C2semidirect
12. C3×#1933C2semidirect
13. C3×#1804C2semidirect
14. C3×C8×C4⋊C4C2semidirect
15. C3×C4×#102C2semidirect
16. #27751C3direct (N × H)
60. #2570C2×C3semidirect
62. #2073C2×C3semidirect
63. #2072C2×C3semidirect
64. #2042C2×C3semidirect
66. #1983C2×C3semidirect
67. #1958C2×C3semidirect
68. #1958C2×C3semidirect
70. #1934C2×C3semidirect
71. #1933C2×C3semidirect
72. #1804C2×C3semidirect
73. C8×C4⋊C4C2×C3semidirect
74. C4×#102C2×C3semidirect
655. C3#27751direct (N × H)

Maximal subgroups

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

subgroupindex
C3×#25702
C3×#25442
C3×#20732
C3×#20722
C3×#20422
C3×#20412
C3×#19832
C3×#19582
C3×#19572
C3×#19342
C3×#19332
C3×#18042
C3×C8×C4⋊C42
C3×C4×#1022
#277513