Finite Group Databasebeta

← C3×#84002 #11868093

Subgroups — C3×#84002 #11868093

Order 1152.

1063 conjugacy classes of subgroups.

The subgroup lattice has 674 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C32×#575C211yesmaximal, characteristic, complemented
2C2×C3×#949C211yesmaximal, characteristic, complemented
3C2×C3×#949C211yesmaximal, characteristic, complemented
4C3×#5819C211yesmaximal, characteristic, complemented
5C3×#5237C211yesmaximal, characteristic, complemented
6C3×#5203C214yesmaximal, complemented
7C3×#5199C214yesmaximal, complemented
8C2×C3×#823C211yesmaximal, characteristic, complemented
9C3×#5124C211yesmaximal, characteristic, complemented
10C3×#3068—31nomaximal
11#84002C311yesmaximal, characteristic, direct product factor
12C2×C32×#41C2211yescharacteristic
13C2×C32×#41C2211yescharacteristic
14C22×C3×D12C2211yescharacteristic
15C32×#137—21no—
16C32×#137C2212yescomplemented
17C32×AGL(1,ℤ/8)—21no—
18C32×AGL(1,ℤ/8)C2212yescomplemented
19C32×#135—22no—
20C2×C32×M16C2211yescharacteristic
21C3×#949—22no—
22C3×#949—22no—
23C3×#949—22no—
24C3×#949C2214yes—
25C3×#948—22no—
26C3×#948C2214yescomplemented
27C2×C3×#215—21no—
28C2×C3×#215C2212yescomplemented
29C2×C3×#213—21no—
30C2×C3×#213C2212yescomplemented
31C2×C3×#208—22no—
32C2×C3×#208C2211yescharacteristic
33C2×C3×#208C2211yescharacteristic
34C2×C3×#208C2211yescharacteristic
35C3×#836C2212yescomplemented
36C3×#833C2212yescomplemented
37C3×#823C2214yescomplemented
38C3×#822C2214yescomplemented
39C3×#575—21no—
40C3×#575D311yescharacteristic, complemented
41C3×#575C2×C311yescharacteristic, complemented
42C2×C3×AGL(1,ℤ/8)—31no—
43C2×C3×AGL(1,ℤ/8)—31no—
44C3×#568—31no—
45C2×#949C2×C311yescharacteristic, complemented
46C2×#949C2×C311yescharacteristic, complemented
47#5819C2×C311yescharacteristic, complemented
48C3×#472—34no—
49C3×#471—34no—
50C3×#430—31no—
51C3×#413—31no—
52C2×C3×#100—31no—
53#5237C2×C311yescharacteristic, complemented
54#5203C2×C314yescomplemented
55#5199C2×C314yescomplemented
56C2×#823C2×C311yescharacteristic, complemented
57#5124C2×C311yescharacteristic, complemented
58C23×C3×D3—21no—
59C32×#41—21no—
60C32×#41—21no—
61C32×#41—21no—
62C32×#41—21no—
63C32×#41—21no—
64C32×#41—21no—
65C32×#41D412yes—
66C32×#41C2312yes—
67C2×C32×Q8D411yescharacteristic
68C2×C32×Q8C2311yescharacteristic
69C2×C32×D4—21no—
70C2×C32×D4—21no—
71C2×C32×D4D411yescharacteristic
72C2×C32×D4C2311yescharacteristic
73C22×C32×C4—21no—
74C22×C32×C4—21no—
75C22×C32×C4C2311yescharacteristic
76C2×C3×D12—21no—
77C2×C3×D12—21no—
78C2×C3×D12—21no—
79C2×C3×D12—21no—
80C2×C3×D12—21no—
81C2×C3×D12C2312yes—
82C32×Q16—22no—
83C32×SD16—22no—
84C32×SD16—22no—
85C32×D8—22no—
86C32×M16—21no—
87C32×M16C2312yes—
88C2×C32×C8—21no—
89C3×#215—24no—
90C3×#215—24no—
91C3×#213—24no—
92C3×#213—24no—
93C3×#208—21no—
94C3×#208—21no—
95C3×#208—24no—
96C3×#208D412yes—
97C3×#208D412yes—
98C3×#208C2312yes—
99C3×#208C2312yes—
100C2×C3×C3⋊C8—21no—
101C2×C3×C3⋊C8—21no—
102C2×C3×C3⋊C8—24no—
103C2×C3×C3⋊C8C2312yes—
104#3068—31noSylow
105C2×C3×#41—21no—
106C2×C3×#41—21no—
107C2×C3×#41C2×D311yescharacteristic
108C2×C3×#41C2×D311yescharacteristic
109C2×C3×#41C22×C311yescharacteristic
110C2×C3×#41C22×C311yescharacteristic
111C22×C3×D4—31no—
112C22×D12C22×C311yescharacteristic
113C3×#137—22no—
114C3×#137—21no—
115C3×#137—21no—
116C3×#137—22no—
117C3×#137C2×D312yescomplemented
118C3×#137C22×C312yescomplemented
119C3×AGL(1,ℤ/8)—22no—
120C3×AGL(1,ℤ/8)—21no—
121C3×AGL(1,ℤ/8)—21no—
122C3×AGL(1,ℤ/8)—22no—
123C3×AGL(1,ℤ/8)—34no—
124C3×AGL(1,ℤ/8)—62no—
125C3×AGL(1,ℤ/8)—62no—
126C3×AGL(1,ℤ/8)—62no—
127C3×AGL(1,ℤ/8)C2×D312yescomplemented
128C3×AGL(1,ℤ/8)C22×C312yescomplemented
129C3×#135—24no—
130C3×#135—22no—
131C3×#135—22no—
132C2×C3×SD16—32no—
133C2×C3×SD16—61no—
134C2×C3×D8—32no—
135C2×C3×D8—61no—
136C3×#131—34no—
137C3×#131—62no—
138C2×C3×M16—21no—
139C2×C3×M16—31no—
140C2×C3×M16—31no—
141C2×C3×M16—31no—
142C2×C3×M16—62no—
143C2×C3×M16C2×D311yescharacteristic
144C2×C3×M16C22×C311yescharacteristic
145#949—22no—
146#949—22no—
147#949—22no—
148#949C22×C314yes—
149#948—22no—
150#948C22×C314yescomplemented
151C2×#215—21no—
152C2×#215C22×C312yescomplemented
153C2×#213—21no—
154C2×#213C22×C312yescomplemented
155C2×#208—22no—
156C2×#208C22×C311yescharacteristic
157C2×#208C22×C311yescharacteristic
158C2×#208C22×C311yescharacteristic
159C3×#108—34no—
160C3×#101—32no—
161C3×#100—32no—
162C3×#100—34no—
163#836C22×C312yescomplemented
164#833C22×C312yescomplemented
165#823C22×C314yescomplemented
166#822C22×C314yescomplemented
167C23×C32—21no—
168C23×C32—21no—
169C23×C32#4111yescharacteristic
170C22×C3×D3—22no—
171C22×C3×D3—41no—
172C22×C3×D3—41no—
173C22×C3×D3—82no—
174C32×Q8—21no—
175C32×Q8—21no—
176C32×Q8—21no—
177C32×Q8C2×D412yes—
178C32×D4—21no—
179C32×D4—22no—
180C32×D4—22no—
181C32×D4—21no—
182C32×D4—21no—
183C32×D4—41no—
184C32×D4—41no—
185C32×D4C2×D412yes—
186C2×C32×C4—21no—
187C2×C32×C4—22no—
188C2×C32×C4—22no—
189C2×C32×C4—21no—
190C2×C32×C4—41no—
191C2×C32×C4—41no—
192C2×C32×C4C2×D411yescharacteristic
193C2×C32×C4C2×D411yescharacteristic
194C2×C32×C4C2×D411yescharacteristic
195C2×C32×C4C2×D411yescharacteristic
196C2×C32×C4#4111yescharacteristic
197C2×C32×C4C2411yescharacteristic
198C3×D12—22no—
199C3×D12—22no—
200C3×D12—41no—
201C3×D12—41no—
202C32×C8—22no—
203C3×C3⋊C8—22no—
204C3×C3⋊C8—22no—
205C3×C3⋊C8C2×D414yes—
206#575C3×D311yescharacteristic, complemented
207C2×AGL(1,ℤ/8)—31no—
208C2×AGL(1,ℤ/8)—31no—
209#568—31no—
210#472—34no—
211#471—34no—
212#430—31no—
213#413—31no—
214C2×#100—31no—
215C24×C3—61no—
216C23×D3—21no—
217C3×#41—21no—
218C3×#41—21no—
219C3×#41—21no—
220C3×#41—21no—
221C3×#41—22no—
222C3×#41—22no—
223C3×#41—21no—
224C3×#41—21no—
225C3×#41—21no—
226C3×#41—21no—
227C3×#41—21no—
228C3×#41—21no—
229C3×#41—21no—
230C3×#41—21no—
231C3×#41—22no—
232C3×#41—22no—
233C3×#41—41no—
234C3×#41—41no—
235C3×#41—41no—
236C3×#41—41no—
237C3×#41#6712yes—
238C3×#41C3×D412yes—
239C3×#41C22×D312yes—
240C3×#41C23×C312yes—
241C2×C3×Q8—21no—
242C2×C3×Q8—21no—
243C2×C3×Q8#6711yescharacteristic
244C2×C3×Q8C3×D411yescharacteristic
245C2×C3×Q8C22×D311yescharacteristic
246C2×C3×Q8C23×C311yescharacteristic
247C2×C3×D4—21no—
248C2×C3×D4—21no—
249C2×C3×D4—21no—
250C2×C3×D4—21no—
251C2×C3×D4—21no—
252C2×C3×D4—21no—
253C2×C3×D4—32no—
254C2×C3×D4—41no—
255C2×C3×D4—41no—
256C2×C3×D4—61no—
257C2×C3×D4—61no—
258C2×C3×D4—61no—
259C2×C3×D4—61no—
260C2×C3×D4—61no—
261C2×C3×D4#6711yescharacteristic
262C2×C3×D4C3×D411yescharacteristic
263C2×C3×D4C22×D311yescharacteristic
264C2×C3×D4C23×C311yescharacteristic
265C22×C3×C4—21no—
266C22×C3×C4—21no—
267C22×C3×C4—21no—
268C22×C3×C4—21no—
269C22×C3×C4—21no—
270C22×C3×C4—41no—
271C22×C3×C4—41no—
272C22×C3×C4C22×D311yescharacteristic
273C22×C3×C4C23×C311yescharacteristic
274C2×D12—21no—
275C2×D12—21no—
276C2×D12—21no—
277C2×D12—21no—
278C2×D12—21no—
279C2×D12C23×C312yes—
280C3×Q16—24no—
281C3×Q16—22no—
282C3×Q16—22no—
283C3×SD16—24no—
284C3×SD16—24no—
285C3×SD16—22no—
286C3×SD16—22no—
287C3×SD16—22no—
288C3×SD16—22no—
289C3×SD16—64no—
290C3×SD16—64no—
291C3×D8—24no—
292C3×D8—22no—
293C3×D8—22no—
294C3×D8—64no—
295C3×D8—64no—
296C3×M16—22no—
297C3×M16—21no—
298C3×M16—21no—
299C3×M16—22no—
300C3×M16—32no—
301C3×M16—32no—
302C3×M16—32no—
303C3×M16—32no—
304C3×M16—64no—
305C3×M16—61no—
306C3×M16—61no—
307C3×M16C22×D312yes—
308C3×M16C23×C312yes—
309C2×C3×C8—22no—
310C2×C3×C8—21no—
311C2×C3×C8—21no—
312C2×C3×C8—32no—
313C2×C3×C8—64no—
314C2×C3×C8—61no—
315C2×C3×C8—61no—
316#215—24no—
317#215—24no—
318#213—24no—
319#213—24no—
320#208—21no—
321#208—21no—
322#208—24no—
323#208C3×D412yes—
324#208C3×D412yes—
325#208C23×C312yes—
326#208C23×C312yes—
327C2×C3⋊C8—21no—
328C2×C3⋊C8—21no—
329C2×C3⋊C8—24no—
330C2×C3⋊C8C23×C312yes—
331C22×C32—22no—
332C22×C32—41no—
333C22×C32—41no—
334C22×C32—81no—
335C22×C32—81no—
336C22×C32#12111yescharacteristic
337C22×C32#12111yescharacteristic
338C22×C32C2×#4111yescharacteristic
339C2×C3×D3—42no—
340C2×C3×D3—82no—
341C2×C3×D3—82no—
342C2×C3×D3—82no—
343C32×C4—22no—
344C32×C4—41no—
345C32×C4#12111yescharacteristic
346C32×C4#12111yescharacteristic
347C32×C4C22×D411yescharacteristic
348C32×C4C22×D411yescharacteristic
349C2×#41C2×C3×D311yescharacteristic
350C2×#41C2×C3×D311yescharacteristic
351C22×D4—31no—
352#137—21no—
353#137C2×C3×D312yescomplemented
354AGL(1,ℤ/8)—21no—
355AGL(1,ℤ/8)—34no—
356AGL(1,ℤ/8)—62no—
357AGL(1,ℤ/8)—62no—
358AGL(1,ℤ/8)—62no—
359AGL(1,ℤ/8)C2×C3×D312yescomplemented
360#135—22no—
361C2×SD16—32no—
362C2×SD16—61no—
363C2×D8—32no—
364C2×D8—61no—
365#131—34no—
366#131—62no—
367C2×M16—31no—
368C2×M16—31no—
369C2×M16—31no—
370C2×M16—62no—
371C2×M16C2×C3×D311yescharacteristic
372#108—34no—
373#101—32no—
374#100—32no—
375#100—34no—
376C23×C3—21no—
377C23×C3—21no—
378C23×C3—21no—
379C23×C3—21no—
380C23×C3—21no—
381C23×C3—41no—
382C23×C3—41no—
383C23×C3—62no—
384C23×C3—121no—
385C23×C3—121no—
386C23×C3—242no—
387C23×C3#23711yescharacteristic
388C23×C3C3×#4111yescharacteristic
389C22×D3—22no—
390C22×D3—41no—
391C22×D3—41no—
392C22×D3—82no—
393C3×Q8—21no—
394C3×Q8—21no—
395C3×Q8—22no—
396C3×Q8—21no—
397C3×Q8—21no—
398C3×Q8—21no—
399C3×Q8—21no—
400C3×Q8—22no—
401C3×Q8—41no—
402C3×Q8—41no—
403C3×Q8C2×#6712yes—
404C3×Q8C2×C3×D412yes—
405C3×D4—22no—
406C3×D4—22no—
407C3×D4—22no—
408C3×D4—22no—
409C3×D4—22no—
410C3×D4—21no—
411C3×D4—21no—
412C3×D4—21no—
413C3×D4—21no—
414C3×D4—21no—
415C3×D4—21no—
416C3×D4—22no—
417C3×D4—41no—
418C3×D4—41no—
419C3×D4—42no—
420C3×D4—42no—
421C3×D4—42no—
422C3×D4—42no—
423C3×D4—41no—
424C3×D4—41no—
425C3×D4—41no—
426C3×D4—41no—
427C3×D4—62no—
428C3×D4—62no—
429C3×D4—121no—
430C3×D4—121no—
431C3×D4C2×#6712yes—
432C3×D4C2×C3×D412yes—
433C2×C3×C4—21no—
434C2×C3×C4—21no—
435C2×C3×C4—22no—
436C2×C3×C4—22no—
437C2×C3×C4—22no—
438C2×C3×C4—22no—
439C2×C3×C4—21no—
440C2×C3×C4—21no—
441C2×C3×C4—21no—
442C2×C3×C4—21no—
443C2×C3×C4—21no—
444C2×C3×C4—21no—
445C2×C3×C4—21no—
446C2×C3×C4—21no—
447C2×C3×C4—42no—
448C2×C3×C4—42no—
449C2×C3×C4—41no—
450C2×C3×C4—41no—
451C2×C3×C4—42no—
452C2×C3×C4—42no—
453C2×C3×C4—41no—
454C2×C3×C4—41no—
455C2×C3×C4—41no—
456C2×C3×C4—41no—
457C2×C3×C4D3×D411yescharacteristic
458C2×C3×C4D3×D411yescharacteristic
459C2×C3×C4#23711yescharacteristic
460C2×C3×C4C2×#6711yescharacteristic
461C2×C3×C4C2×#6711yescharacteristic
462C2×C3×C4C2×C3×D411yescharacteristic
463C2×C3×C4C2×C3×D411yescharacteristic
464C2×C3×C4C2×C3×D411yescharacteristic
465C2×C3×C4C2×C3×D411yescharacteristic
466C2×C3×C4C3×#4111yescharacteristic
467C2×C3×C4C23×D311yescharacteristic
468C2×C3×C4C24×C311yescharacteristic
469D12—22no—
470D12—22no—
471D12—41no—
472D12—41no—
473C3×C8—24no—
474C3×C8—22no—
475C3×C8—22no—
476C3×C8—34no—
477C3×C8—62no—
478C3×C8—62no—
479C3⋊C8—22no—
480C3⋊C8—22no—
481C3⋊C8C2×C3×D414yes—
482C2×C32—21no—
483C2×C32—21no—
484C2×C32—21no—
485C2×C32—42no—
486C2×C32—81no—
487C2×C32C2×#12111yescharacteristic
488C3×D3—82no—
489C24—61no—
490#41—21no—
491#41—21no—
492#41—21no—
493#41—21no—
494#41—21no—
495#41—21no—
496#41C3×#6712yes—
497#41C22×C3×D312yes—
498C2×Q8C3×#6711yescharacteristic
499C2×Q8C22×C3×D311yescharacteristic
500C2×D4—21no—
501C2×D4—21no—
502C2×D4—32no—
503C2×D4—61no—
504C2×D4—61no—
505C2×D4—61no—
506C2×D4—61no—
507C2×D4—61no—
508C2×D4C3×#6711yescharacteristic
509C2×D4C22×C3×D311yescharacteristic
510C22×C4—21no—
511C22×C4—21no—
512C22×C4C22×C3×D311yescharacteristic
513Q16—22no—
514SD16—22no—
515SD16—22no—
516SD16—64no—
517SD16—64no—
518D8—22no—
519D8—64no—
520D8—64no—
521M16—21no—
522M16—32no—
523M16—32no—
524M16—32no—
525M16—32no—
526M16—64no—
527M16—61no—
528M16—61no—
529M16C22×C3×D312yes—
530C2×C8—21no—
531C2×C8—32no—
532C2×C8—64no—
533C2×C8—61no—
534C2×C8—61no—
535C22×C3—22no—
536C22×C3—22no—
537C22×C3—21no—
538C22×C3—21no—
539C22×C3—21no—
540C22×C3—42no—
541C22×C3—41no—
542C22×C3—41no—
543C22×C3—42no—
544C22×C3—41no—
545C22×C3—41no—
546C22×C3—81no—
547C22×C3—81no—
548C22×C3—81no—
549C22×C3—81no—
550C22×C3—81no—
551C22×C3—82no—
552C22×C3—82no—
553C22×C3—122no—
554C22×C3—242no—
555C22×C3—242no—
556C22×C3—242no—
557C22×C3#93911yescharacteristic
558C22×C3#93911yescharacteristic
559C22×C3C3×#12111yescharacteristic
560C22×C3C3×#12111yescharacteristic
561C22×C3C2×#23711yescharacteristic
562C22×C3C2×C3×#4111yescharacteristic
563C2×D3—42no—
564C2×D3—82no—
565C2×D3—82no—
566C2×D3—82no—
567C3×C4—22no—
568C3×C4—22no—
569C3×C4—21no—
570C3×C4—21no—
571C3×C4—21no—
572C3×C4—21no—
573C3×C4—42no—
574C3×C4—42no—
575C3×C4—41no—
576C3×C4—41no—
577C3×C4#93911yescharacteristic
578C3×C4#93911yescharacteristic
579C3×C4C3×#12111yescharacteristic
580C3×C4C3×#12111yescharacteristic
581C3×C4C2×D3×D411yescharacteristic
582C3×C4C22×#6711yescharacteristic
583C3×C4C22×C3×D411yescharacteristic
584C3×C4C22×C3×D411yescharacteristic
585C32#306811yescharacteristic, complemented, Sylow
586C23—21no—
587C23—21no—
588C23—62no—
589C23—121no—
590C23—121no—
591C23—242no—
592C23C3×#23711yescharacteristic
593Q8—21no—
594Q8—21no—
595Q8—21no—
596Q8C2×C3×#6712yes—
597D4—22no—
598D4—22no—
599D4—21no—
600D4—21no—
601D4—21no—
602D4—41no—
603D4—41no—
604D4—62no—
605D4—62no—
606D4—121no—
607D4—121no—
608D4C2×C3×#6712yes—
609C2×C4—21no—
610C2×C4—22no—
611C2×C4—22no—
612C2×C4—21no—
613C2×C4—41no—
614C2×C4—41no—
615C2×C4C3×D3×D411yescharacteristic
616C2×C4C3×D3×D411yescharacteristic
617C2×C4C3×#23711yescharacteristic
618C2×C4C2×C3×#6711yescharacteristic
619C2×C4C2×C3×#6711yescharacteristic
620C2×C4C23×C3×D311yescharacteristic
621C8—22no—
622C8—34no—
623C8—62no—
624C8—62no—
625C2×C3—21no—
626C2×C3—21no—
627C2×C3—21no—
628C2×C3—21no—
629C2×C3—21no—
630C2×C3—21no—
631C2×C3—21no—
632C2×C3—41no—
633C2×C3—41no—
634C2×C3—41no—
635C2×C3—42no—
636C2×C3—42no—
637C2×C3—82no—
638C2×C3—82no—
639C2×C3—81no—
640C2×C3—81no—
641C2×C3—242no—
642C2×C3C2×#93911yescharacteristic
643C2×C3C2×C3×#12111yescharacteristic
644D3—82no—
645C22—22no—
646C22—41no—
647C22—41no—
648C22—81no—
649C22—81no—
650C22—122no—
651C22—242no—
652C22—242no—
653C22—242no—
654C22C3×#93911yescharacteristic
655C22C3×#93911yescharacteristic
656C22C2×C3×#23711yescharacteristic
657C4—22no—
658C4—41no—
659C4C3×#93911yescharacteristic
660C4C3×#93911yescharacteristic
661C4C2×C3×D3×D411yescharacteristic
662C4C22×C3×#6711yescharacteristic
663C3—21no—
664C3#8400211yescharacteristic, direct product factor
665C3C3×#306811yescharacteristic, complemented
666C2—21no—
667C2—21no—
668C2—21no—
669C2—42no—
670C2—81no—
671C2—242no—
672C2C2×C3×#93911yescharacteristic
subgroupG/H
centerC2×C3C2×#939
commutator, cosocleC2×C3×C4C24×C3
FrattiniC2×C4C23×C3×D3
FittingC32×#575C2
socleC2×C32C2×#121
hypercenterC3×#575D3
hypocenterC3C3×#3068
LCSG ▷ C2×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C2×C3 ◁ C22×C3×C4 ◁ C3×#575

Complements

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

NH ≅ G/Ntype
1. C32×#575C2semidirect
2. C2×C3×#949C2semidirect
3. C2×C3×#949C2semidirect
4. C3×#5819C2semidirect
5. C3×#5237C2semidirect
6. C3×#5203C2semidirect
7. C3×#5199C2semidirect
8. C2×C3×#823C2semidirect
9. C3×#5124C2semidirect
11. #84002C3direct (N × H)
16. C32×#137C22semidirect
18. C32×AGL(1,ℤ/8)C22semidirect
26. C3×#948C22semidirect
28. C2×C3×#215C22semidirect
30. C2×C3×#213C22semidirect
35. C3×#836C22semidirect
36. C3×#833C22semidirect
37. C3×#823C22semidirect
38. C3×#822C22semidirect
40. C3×#575D3semidirect
41. C3×#575C2×C3semidirect
45. C2×#949C2×C3semidirect
46. C2×#949C2×C3semidirect
47. #5819C2×C3semidirect
53. #5237C2×C3semidirect
54. #5203C2×C3semidirect
55. #5199C2×C3semidirect
56. C2×#823C2×C3semidirect
57. #5124C2×C3semidirect
117. C3×#137C2×D3semidirect
118. C3×#137C22×C3semidirect
127. C3×AGL(1,ℤ/8)C2×D3semidirect
128. C3×AGL(1,ℤ/8)C22×C3semidirect
150. #948C22×C3semidirect
152. C2×#215C22×C3semidirect
154. C2×#213C22×C3semidirect
163. #836C22×C3semidirect
164. #833C22×C3semidirect
165. #823C22×C3semidirect
166. #822C22×C3semidirect
206. #575C3×D3semidirect
353. #137C2×C3×D3semidirect
359. AGL(1,ℤ/8)C2×C3×D3semidirect
585. C32#3068semidirect
664. C3#84002direct (N × H)
665. C3C3×#3068semidirect

Maximal subgroups

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

subgroupindex
C32×#5752
C2×C3×#9492
C3×#58192
C3×#52372
C3×#52032
C3×#51992
C2×C3×#8232
C3×#51242
C3×#30683
#840023