Finite Group Databasebeta

← C3×#10591014 #13158031

Subgroups — C3×#10591014 #13158031

Order 1728.

850 conjugacy classes of subgroups.

The subgroup lattice has 696 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C3×#64307C211yesmaximal, characteristic, complemented
2C32×#908C211yesmaximal, characteristic, complemented
3C3×#63914C211yesmaximal, characteristic, complemented
4C3×#63830C211yesmaximal, characteristic, complemented
5C3×#63652C211yesmaximal, characteristic, complemented
6C32×#823C211yesmaximal, characteristic, complemented
7C3×#63568C211yesmaximal, characteristic, complemented
8C3×#5198—31nomaximal
9C3×#4747—31nomaximal
10#10591014C311yesmaximal, characteristic, direct product factor
11C3×#3828C2211yescharacteristic
12C32×#235C2211yescharacteristic
13C2×C32×D12C2211yescharacteristic
14C2×C32×D12C2211yescharacteristic, complemented
15C3×D3×#67—22no—
16C2×C3×#625—22no—
17C3×#3802—21no—
18C3×D3×D12—21no—
19C3×#3796—21no—
20C3×#3795—21no—
21C33×M16C2211yescharacteristic, complemented
22C3×C4×C3⋊Dic3C2211yescharacteristic, complemented
23C32×#208C2211yescharacteristic, complemented
24C32×D24—21no—
25C32×#204—21no—
26C3×#3716—21no—
27C3×#3714—21no—
28C3×#1009—31no—
29C3×#1004—31no—
30#64307C2×C311yescharacteristic, complemented
31C32×AGL(1,ℤ/8)—31no—
32C3×#940—31no—
33C3×#940—31no—
34C3×#932—31no—
35C3×#908—21no—
36C3×#908—31no—
37C3×#908D311yescharacteristic, complemented
38C3×#908C2×C311yescharacteristic, complemented
39#63914C2×C311yescharacteristic, complemented
40#63830C2×C311yescharacteristic, complemented
41C32×#100—31no—
42#63652C2×C311yescharacteristic, complemented
43C3×#837—31no—
44C3×#825—31no—
45C3×#825—31no—
46C3×#825—31no—
47C3×#825—61no—
48C3×#823—21no—
49C3×#823D311yescharacteristic, complemented
50C3×#823C2×C311yescharacteristic, complemented
51#63568C2×C311yescharacteristic, complemented
52C22×C32×D3—21no—
53C22×C32×D3D412yes—
54C2×C3×D32—22no—
55C2×C33×C4C2311yescharacteristic
56C3×#638—21no—
57C2×C3×C3⋊Dic3—21no—
58C3×C4⋊(C3⋊D3)D411yescharacteristic, complemented
59C3×C4×C3⋊D3—21no—
60C3×#634D411yescharacteristic, complemented
61C32×#67—21no—
62C32×D12—21no—
63C32×D12—21no—
64C32×D12—21no—
65C32×D12—21no—
66C32×D12D411yescharacteristic, complemented
67C32×C4×D3—21no—
68C32×Dic6D411yescharacteristic, complemented
69C3×#626—22no—
70C3×#625—22no—
71C3×#625—44no—
72C3×D3×Dic3—22no—
73C33×C8—21no—
74C32×C3⋊C8—21no—
75C3×#453—91no—
76#5198—31no—
77#4747—31no—
78C32×#41—31no—
79C2×C32×D4—31no—
80C2×C32×D4—31no—
81#3828C22×C311yescharacteristic
82C2×C3×#67—62no—
83C2×C3×#67—62no—
84C2×C3×#67—62no—
85C3×#239—61no—
86C3×#237—61no—
87C3×#237—61no—
88C3×D3×D4—61no—
89C3×D3×D4—61no—
90C3×D3×D4—62no—
91C3×D3×D4—61no—
92C3×#235—21no—
93C3×#235—31no—
94C3×#235—31no—
95C3×#235—61no—
96C3×#235—61no—
97C3×#235C2×D311yescharacteristic
98C3×#235C22×C311yescharacteristic
99C2×C3×D12—21no—
100C2×C3×D12—21no—
101C2×C3×D12—61no—
102C2×C3×D12C2×D311yescharacteristic
103C2×C3×D12C2×D311yescharacteristic, complemented
104C2×C3×D12C22×C311yescharacteristic
105C2×C3×D12C22×C311yescharacteristic, complemented
106D3×#67—22no—
107C2×#625—22no—
108#3802—21no—
109D3×D12—21no—
110#3796—21no—
111#3795—21no—
112C32×SD16—61no—
113C32×D8—61no—
114C32×M16—21no—
115C32×M16—21no—
116C32×M16—21no—
117C32×M16—31no—
118C32×M16—41no—
119C32×M16C2×D311yescharacteristic, complemented
120C32×M16C2×D311yescharacteristic, complemented
121C32×M16C22×C311yescharacteristic, complemented
122C4×C3⋊Dic3C22×C311yescharacteristic, complemented
123C3×#214—61no—
124C3×#213—61no—
125C3×C4×Dic3—31no—
126C3×C4×Dic3—31no—
127C3×C4×Dic3—61no—
128C3×#208—21no—
129C3×#208C2×D311yescharacteristic, complemented
130C3×#208C22×C311yescharacteristic, complemented
131C3×D24—22no—
132C3×D24—21no—
133C3×D24—21no—
134C3×D24—61no—
135C3×#204—22no—
136C3×#204—21no—
137C3×#204—21no—
138C3×#204—61no—
139#3716—21no—
140#3714—21no—
141C22×C33C2×D411yescharacteristic
142C2×C3×C3⋊D3—21no—
143C2×C32×D3—22no—
144C2×C32×D3—21no—
145C2×C32×D3—42no—
146C2×C32×D3—42no—
147C2×C32×D3—41no—
148C3×D32—82no—
149C33×C4C2×D411yescharacteristic
150C33×C4C2×D411yescharacteristic
151C3×C3⋊Dic3—22no—
152C3×C3⋊Dic3—21no—
153C32×Dic3—21no—
154C3×H(5,𝔽2)—91no—
155#1009—31no—
156#1004—31no—
157C3×AGL(1,ℤ/8)—31no—
158C3×AGL(1,ℤ/8)—31no—
159C3×AGL(1,ℤ/8)—61no—
160C3×AGL(1,ℤ/8)—91no—
161C3×#127—91no—
162#940—31no—
163#940—31no—
164#932—31no—
165#908—31no—
166#908C3×D311yescharacteristic, complemented
167C3×#104—91no—
168C3×#104—91no—
169C3×#100—31no—
170C3×#100—31no—
171C3×#100—61no—
172#837—31no—
173#825—31no—
174#825—31no—
175#825—31no—
176#825—61no—
177#823C3×D311yescharacteristic, complemented
178C23×C32—32no—
179C23×C32—61no—
180C22×C3×D3—21no—
181C22×C3×D3—21no—
182C22×C3×D3—22no—
183C22×C3×D3—41no—
184C22×C3×D3—62no—
185C22×C3×D3—62no—
186C22×C3×D3D1212yes—
187C22×C3×D3C3×D412yes—
188C2×D32—22no—
189C32×Q8—31no—
190C32×D4—31no—
191C32×D4—61no—
192C32×D4—61no—
193C32×D4—61no—
194C32×D4—61no—
195C32×D4—61no—
196C2×C32×C4—21no—
197C2×C32×C4—21no—
198C2×C32×C4—21no—
199C2×C32×C4—41no—
200C2×C32×C4—61no—
201C2×C32×C4C22×D311yescharacteristic
202C2×C32×C4C22×D311yescharacteristic
203C2×C32×C4C23×C311yescharacteristic
204#638—21no—
205C2×C3⋊Dic3—21no—
206C4⋊(C3⋊D3)C3×D411yescharacteristic, complemented
207C4×C3⋊D3—21no—
208#634C3×D411yescharacteristic, complemented
209C3×#67—21no—
210C3×#67—21no—
211C3×#67—41no—
212C3×#67—62no—
213C3×#67—62no—
214C3×#67—62no—
215C3×#67—61no—
216C3×#67—61no—
217C3×#67—121no—
218C3×#67—124no—
219C3×#67—124no—
220C2×C3×Dic3—62no—
221C2×C3×Dic3—61no—
222C2×C3×Dic3—61no—
223C2×C3×Dic3—121no—
224C3×D12—22no—
225C3×D12—21no—
226C3×D12—21no—
227C3×D12—21no—
228C3×D12—21no—
229C3×D12—21no—
230C3×D12—21no—
231C3×D12—21no—
232C3×D12—21no—
233C3×D12—21no—
234C3×D12—31no—
235C3×D12—31no—
236C3×D12—41no—
237C3×D12—41no—
238C3×D12—41no—
239C3×D12—61no—
240C3×D12—62no—
241C3×D12#6711yescharacteristic, complemented
242C3×D12C3×D411yescharacteristic, complemented
243C3×C4×D3—21no—
244C3×C4×D3—21no—
245C3×C4×D3—41no—
246C3×C4×D3—62no—
247C3×C4×D3—61no—
248C3×C4×D3—61no—
249C3×C4×D3—121no—
250C3×Dic6—21no—
251C3×Dic6—31no—
252C3×Dic6—31no—
253C3×Dic6—61no—
254C3×Dic6#6711yescharacteristic, complemented
255C3×Dic6C3×D411yescharacteristic, complemented
256#626—22no—
257#625—22no—
258#625—44no—
259D3×Dic3—22no—
260C32×C8—21no—
261C32×C8—22no—
262C32×C8—21no—
263C32×C8—21no—
264C32×C8—41no—
265C32×C8—41no—
266C32×C8—42no—
267C32×C8—61no—
268C3×C3⋊C8—21no—
269C3×C3⋊C8—21no—
270C3×C3⋊C8—41no—
271#453—91noSylow
272C2×C33—21no—
273C2×C33#12011yescharacteristic
274C3×C3⋊D3—41no—
275C32×D3—41no—
276C32×D3—42no—
277C32×D3—81no—
278C3×#41—31no—
279C3×#41—31no—
280C3×#41—61no—
281C3×#41—91no—
282C3×#41—181no—
283C3×#41—181no—
284C2×C3×D4—31no—
285C2×C3×D4—31no—
286C2×C3×D4—31no—
287C2×C3×D4—31no—
288C2×C3×D4—61no—
289C2×C3×D4—61no—
290C2×C3×D4—181no—
291C2×C3×D4—181no—
292C2×C3×D4—182no—
293C2×C3×D4—182no—
294C2×#67—62no—
295C2×#67—62no—
296C2×#67—62no—
297#239—61no—
298#237—61no—
299#237—61no—
300D3×D4—61no—
301D3×D4—61no—
302D3×D4—62no—
303D3×D4—61no—
304#235—31no—
305#235—31no—
306#235—61no—
307#235—61no—
308#235C2×C3×D311yescharacteristic
309C2×D12—61no—
310C2×D12C2×C3×D311yescharacteristic
311C2×D12C2×C3×D311yescharacteristic, complemented
312C3×SD16—61no—
313C3×SD16—61no—
314C3×SD16—62no—
315C3×SD16—181no—
316C3×D8—61no—
317C3×D8—61no—
318C3×D8—62no—
319C3×D8—181no—
320C3×M16—21no—
321C3×M16—21no—
322C3×M16—21no—
323C3×M16—31no—
324C3×M16—31no—
325C3×M16—41no—
326C3×M16—61no—
327C3×M16D3211yescharacteristic, complemented
328C3×M16C2×C3×D311yescharacteristic, complemented
329C3×M16C2×C3×D311yescharacteristic, complemented
330C3×C42—91no—
331#214—61no—
332#213—61no—
333C4×Dic3—31no—
334C4×Dic3—31no—
335C4×Dic3—61no—
336#208C2×C3×D311yescharacteristic, complemented
337D24—21no—
338D24—61no—
339#204—21no—
340#204—61no—
341C22×C32—21no—
342C22×C32—21no—
343C22×C32—21no—
344C22×C32—41no—
345C22×C32—61no—
346C22×C32—62no—
347C22×C32—121no—
348C22×C32—122no—
349C22×C32—122no—
350C22×C32C2×D1211yescharacteristic
351C22×C32D3×D411yescharacteristic
352C22×C32C2×C3×D411yescharacteristic
353C2×C3⋊D3—21no—
354C2×C3×D3—22no—
355C2×C3×D3—21no—
356C2×C3×D3—22no—
357C2×C3×D3—21no—
358C2×C3×D3—41no—
359C2×C3×D3—42no—
360C2×C3×D3—42no—
361C2×C3×D3—42no—
362C2×C3×D3—42no—
363C2×C3×D3—42no—
364C2×C3×D3—42no—
365C2×C3×D3—41no—
366C2×C3×D3—41no—
367C2×C3×D3—61no—
368C2×C3×D3—61no—
369C2×C3×D3—82no—
370C2×C3×D3—82no—
371C2×C3×D3—121no—
372C2×C3×D3—242no—
373C2×C3×D3—242no—
374D32—82no—
375C32×C4—21no—
376C32×C4—21no—
377C32×C4—21no—
378C32×C4—21no—
379C32×C4—21no—
380C32×C4—21no—
381C32×C4—41no—
382C32×C4—41no—
383C32×C4—61no—
384C32×C4D3×D411yescharacteristic
385C32×C4D3×D411yescharacteristic
386C32×C4D3×D411yescharacteristic
387C32×C4C2×#6711yescharacteristic
388C32×C4C2×C3×D411yescharacteristic
389C32×C4C2×C3×D411yescharacteristic
390C3⋊Dic3—22no—
391C3⋊Dic3—21no—
392C3×Dic3—21no—
393C3×Dic3—21no—
394C3×Dic3—41no—
395C3×Dic3—62no—
396C3×Dic3—62no—
397C3×Dic3—61no—
398C3×Dic3—61no—
399C3×Dic3—121no—
400C3×Dic3—122no—
401H(5,𝔽2)—91no—
402AGL(1,ℤ/8)—31no—
403AGL(1,ℤ/8)—91no—
404#127—91no—
405#104—91no—
406#104—91no—
407#100—31no—
408C33#45311yescharacteristic, complemented, Sylow
409C23×C3—32no—
410C23×C3—32no—
411C23×C3—62no—
412C23×C3—61no—
413C23×C3—61no—
414C23×C3—121no—
415C23×C3—182no—
416C22×D3—21no—
417C22×D3—62no—
418C22×D3—62no—
419C22×D3C3×D1212yes—
420C3×Q8—31no—
421C3×Q8—31no—
422C3×Q8—61no—
423C3×Q8—91no—
424C3×D4—31no—
425C3×D4—31no—
426C3×D4—61no—
427C3×D4—62no—
428C3×D4—61no—
429C3×D4—61no—
430C3×D4—61no—
431C3×D4—61no—
432C3×D4—61no—
433C3×D4—61no—
434C3×D4—61no—
435C3×D4—61no—
436C3×D4—61no—
437C3×D4—61no—
438C3×D4—91no—
439C3×D4—121no—
440C3×D4—121no—
441C3×D4—121no—
442C3×D4—121no—
443C3×D4—182no—
444C3×D4—182no—
445C3×D4—181no—
446C3×D4—364no—
447C2×C3×C4—21no—
448C2×C3×C4—21no—
449C2×C3×C4—21no—
450C2×C3×C4—41no—
451C2×C3×C4—61no—
452C2×C3×C4—61no—
453C2×C3×C4—121no—
454C2×C3×C4—182no—
455C2×C3×C4—181no—
456C2×C3×C4—181no—
457C2×C3×C4C2×D3211yescharacteristic
458C2×C3×C4C22×C3×D311yescharacteristic
459C2×C3×C4C22×C3×D311yescharacteristic
460#67—21no—
461#67—62no—
462#67—62no—
463#67—62no—
464#67—61no—
465#67—61no—
466#67—121no—
467#67—124no—
468#67—124no—
469C2×Dic3—62no—
470C2×Dic3—61no—
471C2×Dic3—61no—
472C2×Dic3—121no—
473D12—21no—
474D12—21no—
475D12—21no—
476D12—21no—
477D12—31no—
478D12—31no—
479D12—61no—
480D12—62no—
481D12C3×#6711yescharacteristic, complemented
482C4×D3—21no—
483C4×D3—62no—
484C4×D3—61no—
485C4×D3—61no—
486C4×D3—121no—
487Dic6—31no—
488Dic6—31no—
489Dic6—61no—
490Dic6C3×#6711yescharacteristic, complemented
491C3×C8—22no—
492C3×C8—21no—
493C3×C8—21no—
494C3×C8—21no—
495C3×C8—41no—
496C3×C8—41no—
497C3×C8—42no—
498C3×C8—61no—
499C3×C8—61no—
500C3×C8—121no—
501C3⋊C8—21no—
502C2×C32—21no—
503C2×C32—21no—
504C2×C32—21no—
505C2×C32—21no—
506C2×C32—21no—
507C2×C32—21no—
508C2×C32—41no—
509C2×C32—41no—
510C2×C32—41no—
511C2×C32—41no—
512C2×C32—81no—
513C2×C32—122no—
514C2×C32—121no—
515C2×C32—241no—
516C2×C32#88211yescharacteristic
517C2×C32#93711yescharacteristic
518C2×C32C3×#12011yescharacteristic
519C3⋊D3—41no—
520C3×D3—41no—
521C3×D3—42no—
522C3×D3—41no—
523C3×D3—42no—
524C3×D3—81no—
525C3×D3—82no—
526C3×D3—82no—
527C3×D3—81no—
528C3×D3—81no—
529C3×D3—121no—
530C3×D3—121no—
531C3×D3—241no—
532#41—31no—
533#41—91no—
534#41—181no—
535#41—181no—
536C2×D4—31no—
537C2×D4—31no—
538C2×D4—181no—
539C2×D4—181no—
540C2×D4—182no—
541C2×D4—182no—
542SD16—61no—
543SD16—181no—
544D8—61no—
545D8—181no—
546M16—31no—
547M16C3×D3211yescharacteristic, complemented
548C42—91no—
549C22×C3—21no—
550C22×C3—21no—
551C22×C3—21no—
552C22×C3—41no—
553C22×C3—61no—
554C22×C3—62no—
555C22×C3—61no—
556C22×C3—62no—
557C22×C3—121no—
558C22×C3—122no—
559C22×C3—122no—
560C22×C3—122no—
561C22×C3—122no—
562C22×C3—122no—
563C22×C3—122no—
564C22×C3—121no—
565C22×C3—121no—
566C22×C3—181no—
567C22×C3—242no—
568C22×C3—242no—
569C22×C3—722no—
570C22×C3D3×D1211yescharacteristic
571C22×C3C2×C3×D1211yescharacteristic
572C22×C3C3×D3×D411yescharacteristic
573C2×D3—22no—
574C2×D3—21no—
575C2×D3—42no—
576C2×D3—42no—
577C2×D3—41no—
578C2×D3—61no—
579C2×D3—61no—
580C2×D3—121no—
581C2×D3—242no—
582C2×D3—242no—
583C3×C4—21no—
584C3×C4—21no—
585C3×C4—21no—
586C3×C4—21no—
587C3×C4—21no—
588C3×C4—21no—
589C3×C4—41no—
590C3×C4—41no—
591C3×C4—61no—
592C3×C4—61no—
593C3×C4—121no—
594C3×C4—182no—
595C3×C4—181no—
596C3×C4#380211yescharacteristic
597C3×C4D3×#6711yescharacteristic
598C3×C4C3×D3×D411yescharacteristic
599C3×C4C3×D3×D411yescharacteristic
600C3×C4C3×D3×D411yescharacteristic
601C3×C4C2×C3×#6711yescharacteristic
602Dic3—21no—
603Dic3—62no—
604Dic3—62no—
605Dic3—61no—
606Dic3—61no—
607Dic3—121no—
608Dic3—122no—
609C32—21no—
610C32—21no—
611C32—21no—
612C32—41no—
613C32#474711yescharacteristic, complemented
614C32#519811yescharacteristic, complemented
615C32C3×#45311yescharacteristic, complemented
616C23—32no—
617C23—61no—
618C23—182no—
619Q8—31no—
620Q8—91no—
621D4—31no—
622D4—61no—
623D4—61no—
624D4—61no—
625D4—61no—
626D4—61no—
627D4—91no—
628D4—182no—
629D4—182no—
630D4—181no—
631D4—364no—
632C2×C4—61no—
633C2×C4—182no—
634C2×C4—181no—
635C2×C4—181no—
636C2×C4C2×C3×D3211yescharacteristic
637C8—21no—
638C8—61no—
639C2×C3—21no—
640C2×C3—21no—
641C2×C3—21no—
642C2×C3—21no—
643C2×C3—21no—
644C2×C3—21no—
645C2×C3—41no—
646C2×C3—41no—
647C2×C3—41no—
648C2×C3—41no—
649C2×C3—81no—
650C2×C3—122no—
651C2×C3—121no—
652C2×C3—122no—
653C2×C3—121no—
654C2×C3—242no—
655C2×C3—241no—
656C2×C3—242no—
657C2×C3—241no—
658C2×C3—241no—
659C2×C3—361no—
660C2×C3#6392211yescharacteristic
661C2×C3C3×#88211yescharacteristic
662C2×C3C3×#93711yescharacteristic
663D3—41no—
664D3—42no—
665D3—81no—
666D3—121no—
667D3—121no—
668D3—241no—
669C22—61no—
670C22—62no—
671C22—122no—
672C22—122no—
673C22—121no—
674C22—181no—
675C22—722no—
676C22C3×D3×D1211yescharacteristic
677C4—61no—
678C4—182no—
679C4—181no—
680C4C3×#380211yescharacteristic
681C4C3×D3×#6711yescharacteristic
682C3—21no—
683C3—21no—
684C3—21no—
685C3—41no—
686C3#1059101411yescharacteristic, direct product factor
687C3C3×#474711yescharacteristic, complemented
688C3C3×#519811yescharacteristic, complemented
689C2—21no—
690C2—122no—
691C2—121no—
692C2—241no—
693C2—361no—
694C2C3×#6392211yescharacteristic
subgroupG/H
centerC2×C3#63922
commutator, cosocleC2×C32×C4C23×C3
FrattiniC2×C4C2×C3×D32
FittingC33×M16C22
socleC2×C33#120
hypercenterC3×M16D32
hypocenterC32C3×#453
LCSG ▷ C2×C32×C4 ▷ C2×C32 ▷ C32
UCSC1 ◁ C2×C3 ◁ C2×C3×C4 ◁ C3×M16

Complements

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

NH ≅ G/Ntype
1. C3×#64307C2semidirect
2. C32×#908C2semidirect
3. C3×#63914C2semidirect
4. C3×#63830C2semidirect
5. C3×#63652C2semidirect
6. C32×#823C2semidirect
7. C3×#63568C2semidirect
10. #10591014C3direct (N × H)
14. C2×C32×D12C22semidirect
21. C33×M16C22semidirect
22. C3×C4×C3⋊Dic3C22semidirect
23. C32×#208C22semidirect
30. #64307C2×C3semidirect
37. C3×#908D3semidirect
38. C3×#908C2×C3semidirect
39. #63914C2×C3semidirect
40. #63830C2×C3semidirect
42. #63652C2×C3semidirect
49. C3×#823D3semidirect
50. C3×#823C2×C3semidirect
51. #63568C2×C3semidirect
58. C3×C4⋊(C3⋊D3)D4semidirect
60. C3×#634D4semidirect
66. C32×D12D4semidirect
68. C32×Dic6D4semidirect
103. C2×C3×D12C2×D3semidirect
105. C2×C3×D12C22×C3semidirect
119. C32×M16C2×D3semidirect
120. C32×M16C2×D3semidirect
121. C32×M16C22×C3semidirect
122. C4×C3⋊Dic3C22×C3semidirect
129. C3×#208C2×D3semidirect
130. C3×#208C22×C3semidirect
166. #908C3×D3semidirect
177. #823C3×D3semidirect
206. C4⋊(C3⋊D3)C3×D4semidirect
208. #634C3×D4semidirect
241. C3×D12#67semidirect
242. C3×D12C3×D4semidirect
254. C3×Dic6#67semidirect
255. C3×Dic6C3×D4semidirect
311. C2×D12C2×C3×D3semidirect
327. C3×M16D32semidirect
328. C3×M16C2×C3×D3semidirect
329. C3×M16C2×C3×D3semidirect
336. #208C2×C3×D3semidirect
408. C33#453semidirect
481. D12C3×#67semidirect
490. Dic6C3×#67semidirect
547. M16C3×D32semidirect
613. C32#4747semidirect
614. C32#5198semidirect
615. C32C3×#453semidirect
686. C3#10591014direct (N × H)
687. C3C3×#4747semidirect
688. C3C3×#5198semidirect

Maximal subgroups

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

subgroupindex
C3×#643072
C32×#9082
C3×#639142
C3×#638302
C3×#636522
C32×#8232
C3×#635682
C3×#51983
C3×#47473
#105910143