Finite Group Databasebeta

← C3×#71679 #11793146

Subgroups — C3×#71679 #11793146

Order 1152.

949 conjugacy classes of subgroups.

The subgroup lattice has 680 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C32×#121C211yesmaximal, characteristic
2C2×C3×#832C211yesmaximal, characteristic, complemented
3C2×C3×#832C211yesmaximal, characteristic, complemented
4C3×#5212C211yesmaximal, characteristic, complemented
5C2×C3×#830C211yesmaximal, characteristic, complemented
6C2×C3×#807C211yesmaximal, characteristic, complemented
7C3×#4529C211yesmaximal, characteristic, complemented
8C3×#2033—31nomaximal
9#71679C311yesmaximal, characteristic, direct product factor
10C22×C32×D4—21no—
11C22×C32×D4C2211yescharacteristic
12C23×C32×C4C2211yescharacteristic
13C32×#121—22no—
14C32×#121—22no—
15C2×C32×C4⋊C4C2211yescharacteristic
16C2×C32×C22⋊C4—21no—
17C2×C3×#217—21no—
18C2×C3×C4⋊Dic3C2211yescharacteristic
19C2×C3×C4⋊Dic3C2211yescharacteristic
20C22×C3×C3⋊C8C2211yescharacteristic
21C22×C3×C3⋊C8C2211yescharacteristic
22C3×#832—22no—
23C3×#832—22no—
24C3×C3⋊#95—21no—
25C3×#830—22no—
26C3×#807—22no—
27C2×C3×#121—21no—
28C2×C3×#121D311yescharacteristic
29C2×C3×#121C2×C311yescharacteristic
30C2×C3×#107—31no—
31C2×C3×#102—31no—
32C2×C3×#102—31no—
33C2×C3×C22⋊C8—31no—
34C3×#380—31no—
35C2×#832C2×C311yescharacteristic, complemented
36C2×#832C2×C311yescharacteristic, complemented
37#5212C2×C311yescharacteristic, complemented
38C2×#830C2×C311yescharacteristic, complemented
39C2×#807C2×C311yescharacteristic, complemented
40C3×#340—31no—
41#4529C2×C311yescharacteristic, complemented
42C24×C32—21no—
43C24×C32D411yescharacteristic
44C2×C32×D4—24no—
45C2×C32×D4—21no—
46C2×C32×D4—21no—
47C2×C32×D4—21no—
48C2×C32×D4—21no—
49C2×C32×D4—21no—
50C2×C32×D4—42no—
51C2×C32×D4—42no—
52C2×C32×D4D412yes—
53C22×C32×C4—21no—
54C22×C32×C4—21no—
55C22×C32×C4—21no—
56C22×C32×C4—21no—
57C22×C32×C4—21no—
58C22×C32×C4—21no—
59C22×C32×C4—21no—
60C22×C32×C4D411yescharacteristic
61C22×C32×C4C2311yescharacteristic
62C22×C3×Dic3—21no—
63C22×C3×Dic3—21no—
64C32×C4⋊C4—21no—
65C32×C4⋊C4D412yes—
66C32×C22⋊C4—24no—
67C3×#217—42no—
68C3×C4⋊Dic3—21no—
69C3×C4⋊Dic3—21no—
70C3×C4⋊Dic3—21no—
71C3×C4⋊Dic3—21no—
72C2×C3×C3⋊C8—21no—
73C2×C3×C3⋊C8—21no—
74C2×C3×C3⋊C8—21no—
75C2×C3×C3⋊C8—21no—
76C2×C3×C3⋊C8—21no—
77C2×C3×C3⋊C8D412yescomplemented
78#2033—31noSylow
79C22×C3×D4—22no—
80C22×C3×D4—21no—
81C22×C3×D4—21no—
82C22×C3×D4—21no—
83C22×C3×D4C2×D311yescharacteristic
84C22×C3×D4C22×C311yescharacteristic
85C23×C3×C4—21no—
86C23×C3×C4C2×D311yescharacteristic
87C23×C3×C4C22×C311yescharacteristic
88C22×C3×C8—31no—
89C22×C3×C8—31no—
90C3×#121—24no—
91C3×#121—24no—
92C3×#121—22no—
93C3×#121—22no—
94C3×#121—22no—
95C3×#121—22no—
96C2×C3×C4⋊C4—21no—
97C2×C3×C4⋊C4—31no—
98C2×C3×C4⋊C4—31no—
99C2×C3×C4⋊C4C2×D311yescharacteristic
100C2×C3×C4⋊C4C22×C311yescharacteristic
101C2×C3×C22⋊C4—22no—
102C2×C3×C22⋊C4—21no—
103C2×C3×C22⋊C4—21no—
104C2×C3×C22⋊C4—61no—
105C2×#217—21no—
106C2×C4⋊Dic3C22×C311yescharacteristic
107C2×C4⋊Dic3C22×C311yescharacteristic
108C22×C3⋊C8C22×C311yescharacteristic
109C22×C3⋊C8C22×C311yescharacteristic
110C3×#107—62no—
111C3×#102—62no—
112C3×#102—62no—
113C3×C22⋊C8—62no—
114C3×#95—61no—
115#832—22no—
116#832—22no—
117C3⋊#95—21no—
118#830—22no—
119#807—22no—
120C23×C32—21no—
121C23×C32—21no—
122C23×C32—22no—
123C23×C32—21no—
124C23×C32—21no—
125C23×C32—21no—
126C23×C32—21no—
127C23×C32—41no—
128C23×C32—41no—
129C23×C32—41no—
130C23×C32—41no—
131C23×C32—41no—
132C23×C32—41no—
133C23×C32D812yes—
134C23×C32C2×D411yescharacteristic
135C32×D4—22no—
136C32×D4—22no—
137C32×D4—48no—
138C32×D4—41no—
139C32×D4—41no—
140C2×C32×C4—21no—
141C2×C32×C4—22no—
142C2×C32×C4—21no—
143C2×C32×C4—21no—
144C2×C32×C4—41no—
145C2×C32×C4—41no—
146C2×C32×C4—41no—
147C2×C32×C4—41no—
148C2×C32×C4—41no—
149C2×C32×C4—41no—
150C2×C32×C4C2×D411yescharacteristic
151C2×C32×C4C2×D411yescharacteristic
152C2×C32×C4C2×D411yescharacteristic
153C2×C32×C4#4111yescharacteristic
154C2×C32×C4#4111yescharacteristic
155C2×C32×C4#4111yescharacteristic
156C2×C3×Dic3—41no—
157C2×C3×Dic3—41no—
158C2×C3×Dic3—41no—
159C2×C3×Dic3—41no—
160C2×C3×Dic3—41no—
161C2×C3×Dic3—41no—
162C3×C3⋊C8—22no—
163C3×C3⋊C8—41no—
164C2×#121C3×D311yescharacteristic
165C2×#107—31no—
166C2×#102—31no—
167C2×#102—31no—
168C2×C22⋊C8—31no—
169#380—31no—
170#340—31no—
171C24×C3—22no—
172C24×C3—21no—
173C24×C3—21no—
174C24×C3—21no—
175C24×C3#6711yescharacteristic
176C24×C3C3×D411yescharacteristic
177C2×C3×D4—28no—
178C2×C3×D4—24no—
179C2×C3×D4—24no—
180C2×C3×D4—22no—
181C2×C3×D4—21no—
182C2×C3×D4—21no—
183C2×C3×D4—21no—
184C2×C3×D4—21no—
185C2×C3×D4—21no—
186C2×C3×D4—21no—
187C2×C3×D4—21no—
188C2×C3×D4—21no—
189C2×C3×D4—21no—
190C2×C3×D4—21no—
191C2×C3×D4—22no—
192C2×C3×D4—41no—
193C2×C3×D4—41no—
194C2×C3×D4—41no—
195C2×C3×D4—41no—
196C2×C3×D4—44no—
197C2×C3×D4—42no—
198C2×C3×D4—42no—
199C2×C3×D4—44no—
200C2×C3×D4—42no—
201C2×C3×D4—42no—
202C2×C3×D4#6712yes—
203C2×C3×D4C3×D412yes—
204C22×C3×C4—22no—
205C22×C3×C4—22no—
206C22×C3×C4—22no—
207C22×C3×C4—21no—
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—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×C4—41no—
224C22×C3×C4—41no—
225C22×C3×C4—41no—
226C22×C3×C4—41no—
227C22×C3×C4—61no—
228C22×C3×C4—61no—
229C22×C3×C4#6711yescharacteristic
230C22×C3×C4C3×D411yescharacteristic
231C22×C3×C4C22×D311yescharacteristic
232C22×C3×C4C23×C311yescharacteristic
233C22×Dic3—21no—
234C22×Dic3—21no—
235C2×C3×C8—32no—
236C2×C3×C8—61no—
237C2×C3×C8—61no—
238C2×C3×C8—61no—
239C2×C3×C8—61no—
240C2×C3×C8—61no—
241C3×C4⋊C4—22no—
242C3×C4⋊C4—21no—
243C3×C4⋊C4—21no—
244C3×C4⋊C4—22no—
245C3×C4⋊C4—61no—
246C3×C4⋊C4—61no—
247C3×C4⋊C4—61no—
248C3×C4⋊C4—61no—
249C3×C4⋊C4#6712yes—
250C3×C4⋊C4C3×D412yes—
251C3×C22⋊C4—28no—
252C3×C22⋊C4—24no—
253C3×C22⋊C4—24no—
254C3×C22⋊C4—122no—
255#217—42no—
256C4⋊Dic3—21no—
257C4⋊Dic3—21no—
258C4⋊Dic3—21no—
259C4⋊Dic3—21no—
260C2×C3⋊C8—21no—
261C2×C3⋊C8—21no—
262C2×C3⋊C8—21no—
263C2×C3⋊C8—21no—
264C2×C3⋊C8—21no—
265C2×C3⋊C8C3×D412yescomplemented
266C22×C32—22no—
267C22×C32—22no—
268C22×C32—22no—
269C22×C32—41no—
270C22×C32—41no—
271C22×C32—41no—
272C22×C32—41no—
273C22×C32—42no—
274C22×C32—42no—
275C22×C32—42no—
276C22×C32—81no—
277C22×C32—81no—
278C22×C32—81no—
279C22×C32—81no—
280C22×C32#12011yescharacteristic
281C22×C32#12111yescharacteristic
282C22×C32#12311yescharacteristic
283C22×C32C2×D811yescharacteristic
284C22×C32#13511yescharacteristic
285C22×C32AGL(1,ℤ/8)11yescharacteristic
286C22×C32#13711yescharacteristic
287C32×C4—41no—
288C32×C4—42no—
289C32×C4#12111yescharacteristic
290C32×C4#12111yescharacteristic
291C32×C4#12311yescharacteristic
292C32×C4#12411yescharacteristic
293C3×Dic3—81no—
294C3×Dic3—81no—
295C22×D4—21no—
296C22×D4C2×C3×D311yescharacteristic
297C23×C4C2×C3×D311yescharacteristic
298C22×C8—31no—
299C22×C8—31no—
300#121—22no—
301#121—22no—
302C2×C4⋊C4—31no—
303C2×C4⋊C4—31no—
304C2×C4⋊C4C2×C3×D311yescharacteristic
305C2×C22⋊C4—21no—
306C2×C22⋊C4—61no—
307#107—62no—
308#102—62no—
309#102—62no—
310C22⋊C8—62no—
311#95—61no—
312C23×C3—22no—
313C23×C3—22no—
314C23×C3—21no—
315C23×C3—21no—
316C23×C3—21no—
317C23×C3—21no—
318C23×C3—21no—
319C23×C3—21no—
320C23×C3—21no—
321C23×C3—21no—
322C23×C3—21no—
323C23×C3—21no—
324C23×C3—21no—
325C23×C3—21no—
326C23×C3—24no—
327C23×C3—22no—
328C23×C3—22no—
329C23×C3—22no—
330C23×C3—21no—
331C23×C3—41no—
332C23×C3—41no—
333C23×C3—41no—
334C23×C3—41no—
335C23×C3—42no—
336C23×C3—42no—
337C23×C3—42no—
338C23×C3—42no—
339C23×C3—42no—
340C23×C3—42no—
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×C3—41no—
351C23×C3—41no—
352C23×C3—41no—
353C23×C3#21312yes—
354C23×C3C3×D812yes—
355C23×C3C2×#6711yescharacteristic
356C23×C3C2×C3×D411yescharacteristic
357C3×D4—22no—
358C3×D4—22no—
359C3×D4—22no—
360C3×D4—22no—
361C3×D4—42no—
362C3×D4—42no—
363C3×D4—42no—
364C3×D4—42no—
365C3×D4—416no—
366C3×D4—48no—
367C3×D4—48no—
368C3×D4—41no—
369C3×D4—41no—
370C3×D4—41no—
371C3×D4—41no—
372C2×C3×C4—22no—
373C2×C3×C4—24no—
374C2×C3×C4—21no—
375C2×C3×C4—21no—
376C2×C3×C4—21no—
377C2×C3×C4—22no—
378C2×C3×C4—21no—
379C2×C3×C4—22no—
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—21no—
388C2×C3×C4—41no—
389C2×C3×C4—41no—
390C2×C3×C4—42no—
391C2×C3×C4—42no—
392C2×C3×C4—42no—
393C2×C3×C4—42no—
394C2×C3×C4—42no—
395C2×C3×C4—42no—
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—121no—
409C2×C3×C4—121no—
410C2×C3×C4—121no—
411C2×C3×C4—121no—
412C2×C3×C4—121no—
413C2×C3×C4—121no—
414C2×C3×C4D3×D411yescharacteristic
415C2×C3×C4#23711yescharacteristic
416C2×C3×C4#23711yescharacteristic
417C2×C3×C4#23711yescharacteristic
418C2×C3×C4C2×#6711yescharacteristic
419C2×C3×C4C2×#6711yescharacteristic
420C2×C3×C4C2×C3×D411yescharacteristic
421C2×C3×C4C2×C3×D411yescharacteristic
422C2×C3×C4C2×C3×D411yescharacteristic
423C2×C3×C4C3×#4111yescharacteristic
424C2×C3×C4C3×#4111yescharacteristic
425C2×C3×C4C3×#4111yescharacteristic
426C2×Dic3—41no—
427C2×Dic3—41no—
428C2×Dic3—41no—
429C2×Dic3—41no—
430C2×Dic3—41no—
431C2×Dic3—41no—
432C3×C8—62no—
433C3×C8—121no—
434C3⋊C8—22no—
435C3⋊C8—41no—
436C2×C32—42no—
437C2×C32—82no—
438C2×C32#39411yescharacteristic
439C2×C32#44711yescharacteristic
440C2×C32#45211yescharacteristic
441C2×C32#46611yescharacteristic
442C2×C32#46811yescharacteristic
443C2×C32#48011yescharacteristic
444C2×C32#48211yescharacteristic
445C24—21no—
446C24C3×#6711yescharacteristic
447C2×D4—24no—
448C2×D4—21no—
449C2×D4—21no—
450C2×D4—21no—
451C2×D4—21no—
452C2×D4—21no—
453C2×D4—42no—
454C2×D4—42no—
455C2×D4C3×#6712yes—
456C22×C4—21no—
457C22×C4—21no—
458C22×C4—21no—
459C22×C4—21no—
460C22×C4—21no—
461C22×C4—21no—
462C22×C4—21no—
463C22×C4—61no—
464C22×C4—61no—
465C22×C4C3×#6711yescharacteristic
466C22×C4C22×C3×D311yescharacteristic
467C2×C8—32no—
468C2×C8—61no—
469C2×C8—61no—
470C2×C8—61no—
471C2×C8—61no—
472C2×C8—61no—
473C4⋊C4—21no—
474C4⋊C4—61no—
475C4⋊C4—61no—
476C4⋊C4—61no—
477C4⋊C4—61no—
478C4⋊C4C3×#6712yes—
479C22⋊C4—24no—
480C22⋊C4—122no—
481C22×C3—24no—
482C22×C3—22no—
483C22×C3—22no—
484C22×C3—22no—
485C22×C3—22no—
486C22×C3—22no—
487C22×C3—22no—
488C22×C3—21no—
489C22×C3—21no—
490C22×C3—21no—
491C22×C3—21no—
492C22×C3—21no—
493C22×C3—21no—
494C22×C3—21no—
495C22×C3—42no—
496C22×C3—42no—
497C22×C3—42no—
498C22×C3—42no—
499C22×C3—42no—
500C22×C3—42no—
501C22×C3—44no—
502C22×C3—44no—
503C22×C3—44no—
504C22×C3—41no—
505C22×C3—41no—
506C22×C3—41no—
507C22×C3—41no—
508C22×C3—41no—
509C22×C3—41no—
510C22×C3—41no—
511C22×C3—41no—
512C22×C3—42no—
513C22×C3—42no—
514C22×C3—42no—
515C22×C3—42no—
516C22×C3—42no—
517C22×C3—42no—
518C22×C3—82no—
519C22×C3—82no—
520C22×C3—82no—
521C22×C3—82no—
522C22×C3—81no—
523C22×C3—81no—
524C22×C3—81no—
525C22×C3—81no—
526C22×C3—81no—
527C22×C3—81no—
528C22×C3—81no—
529C22×C3—81no—
530C22×C3C2×#21311yescharacteristic
531C22×C3#93211yescharacteristic
532C22×C3#93511yescharacteristic
533C22×C3#93911yescharacteristic
534C22×C3#95011yescharacteristic
535C22×C3#95111yescharacteristic
536C22×C3#95311yescharacteristic
537C22×C3C3×#12011yescharacteristic
538C22×C3C3×#12111yescharacteristic
539C22×C3C3×#12311yescharacteristic
540C22×C3C2×C3×D811yescharacteristic
541C22×C3C3×#13511yescharacteristic
542C22×C3C3×AGL(1,ℤ/8)11yescharacteristic
543C22×C3C3×#13711yescharacteristic
544C3×C4—21no—
545C3×C4—21no—
546C3×C4—21no—
547C3×C4—21no—
548C3×C4—42no—
549C3×C4—44no—
550C3×C4—42no—
551C3×C4—41no—
552C3×C4—41no—
553C3×C4—42no—
554C3×C4—241no—
555C3×C4—241no—
556C3×C4#93511yescharacteristic
557C3×C4#93611yescharacteristic
558C3×C4#93811yescharacteristic
559C3×C4#93911yescharacteristic
560C3×C4C3×#12111yescharacteristic
561C3×C4C3×#12111yescharacteristic
562C3×C4C3×#12311yescharacteristic
563C3×C4C3×#12411yescharacteristic
564Dic3—81no—
565Dic3—81no—
566C32#203311yescharacteristic, complemented, Sylow
567C23—21no—
568C23—21no—
569C23—21no—
570C23—21no—
571C23—21no—
572C23—21no—
573C23—22no—
574C23—41no—
575C23—41no—
576C23—41no—
577C23—41no—
578C23—41no—
579C23—41no—
580C23C3×#21312yes—
581C23C2×C3×#6711yescharacteristic
582D4—22no—
583D4—22no—
584D4—48no—
585D4—41no—
586D4—41no—
587C2×C4—21no—
588C2×C4—21no—
589C2×C4—21no—
590C2×C4—22no—
591C2×C4—41no—
592C2×C4—41no—
593C2×C4—41no—
594C2×C4—41no—
595C2×C4—41no—
596C2×C4—41no—
597C2×C4—121no—
598C2×C4—121no—
599C2×C4—121no—
600C2×C4—121no—
601C2×C4—121no—
602C2×C4—121no—
603C2×C4C3×D3×D411yescharacteristic
604C2×C4C3×#23711yescharacteristic
605C2×C4C3×#23711yescharacteristic
606C2×C4C3×#23711yescharacteristic
607C2×C4C2×C3×#6711yescharacteristic
608C2×C4C2×C3×#6711yescharacteristic
609C8—62no—
610C8—121no—
611C2×C3—21no—
612C2×C3—21no—
613C2×C3—21no—
614C2×C3—21no—
615C2×C3—21no—
616C2×C3—21no—
617C2×C3—21no—
618C2×C3—44no—
619C2×C3—42no—
620C2×C3—42no—
621C2×C3—84no—
622C2×C3—82no—
623C2×C3—82no—
624C2×C3#503311yescharacteristic
625C2×C3#503511yescharacteristic
626C2×C3#503811yescharacteristic
627C2×C3#504211yescharacteristic
628C2×C3#521711yescharacteristic
629C2×C3#522211yescharacteristic
630C2×C3#523911yescharacteristic
631C2×C3C3×#39411yescharacteristic
632C2×C3C3×#44711yescharacteristic
633C2×C3C3×#45211yescharacteristic
634C2×C3C3×#46611yescharacteristic
635C2×C3C3×#46811yescharacteristic
636C2×C3C3×#48011yescharacteristic
637C2×C3C3×#48211yescharacteristic
638C22—22no—
639C22—22no—
640C22—22no—
641C22—41no—
642C22—41no—
643C22—41no—
644C22—41no—
645C22—42no—
646C22—42no—
647C22—42no—
648C22—81no—
649C22—81no—
650C22—81no—
651C22—81no—
652C22C2×C3×#21311yescharacteristic
653C22C3×#93211yescharacteristic
654C22C3×#93511yescharacteristic
655C22C3×#93911yescharacteristic
656C22C3×#95011yescharacteristic
657C22C3×#95111yescharacteristic
658C22C3×#95311yescharacteristic
659C4—42no—
660C4—41no—
661C4—241no—
662C4—241no—
663C4C3×#93511yescharacteristic
664C4C3×#93611yescharacteristic
665C4C3×#93811yescharacteristic
666C4C3×#93911yescharacteristic
667C3—21no—
668C3#7167911yescharacteristic, direct product factor
669C3C3×#203311yescharacteristic, complemented
670C2—42no—
671C2—82no—
672C2C3×#503311yescharacteristic
673C2C3×#503511yescharacteristic
674C2C3×#503811yescharacteristic
675C2C3×#504211yescharacteristic
676C2C3×#521711yescharacteristic
677C2C3×#522211yescharacteristic
678C2C3×#523911yescharacteristic
subgroupG/H
centerC23×C3C2×#67
commutator, cosocleC22×C3×C4C23×C3
FrattiniC22×C4C22×C3×D3
Fitting, prime radicalC2×C32×#121C2
socleC23×C32C2×D4
hypercenterC2×C3×#121D3
hypocenterC3C3×#2033
LCSG ▷ C22×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C23×C3 ◁ C23×C3×C4 ◁ C2×C3×#121

Complements

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

NH ≅ G/Ntype
2. C2×C3×#832C2semidirect
3. C2×C3×#832C2semidirect
4. C3×#5212C2semidirect
5. C2×C3×#830C2semidirect
6. C2×C3×#807C2semidirect
7. C3×#4529C2semidirect
9. #71679C3direct (N × H)
35. C2×#832C2×C3semidirect
36. C2×#832C2×C3semidirect
37. #5212C2×C3semidirect
38. C2×#830C2×C3semidirect
39. C2×#807C2×C3semidirect
41. #4529C2×C3semidirect
77. C2×C3×C3⋊C8D4semidirect
265. C2×C3⋊C8C3×D4semidirect
566. C32#2033semidirect
668. C3#71679direct (N × H)
669. C3C3×#2033semidirect

Maximal subgroups

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

subgroupindex
C2×C32×#1212
C2×C3×#8322
C3×#52122
C2×C3×#8302
C2×C3×#8072
C3×#45292
C3×#20333
#716793