Finite Group Databasebeta

← C3×#82936 #11865300

Subgroups — C3×#82936 #11865300

Order 1152.

1697 conjugacy classes of subgroups.

The subgroup lattice has 665 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C3×#5964C211yesmaximal, characteristic, complemented
2C32×#525C211yesmaximal, characteristic, complemented
3C3×#5791C212yesmaximal, complemented
4C3×#5240C211yesmaximal, characteristic, complemented
5C3×#5053C214yesmaximal, complemented
6C3×#5032C214yesmaximal, complemented
7C3×#5006C212yesmaximal, complemented
8C3×#3025—31nomaximal
9#82936C311yesmaximal, characteristic, direct product factor
10C2×C32×#41C2211yescharacteristic
11C23×C32×C4C2211yescharacteristic, complemented
12C3×#1010—22no—
13C3×#1009—22no—
14C3×D3×#41—24no—
15C3×#1007—21no—
16C3×#1004—21no—
17C3×#1004C2214yes—
18C2×C3×#235—22no—
19C2×C3×#235C2212yes—
20C32×#123C2212yescomplemented
21C32×C22⋊Q8—21no—
22C32×#121—21no—
23C32×#120C2212yescomplemented
24C32×C4×D4—22no—
25C32×#117C2211yescharacteristic, complemented
26C3×#953C2214yescomplemented
27C3×#930—22no—
28C3×#929C2214yescomplemented
29C3×C4×#67—24no—
30C3×#926C2212yescomplemented
31C3×#924—22no—
32C3×#834C2214yescomplemented
33C3×#806C2218yescomplemented
34C3×#585—31no—
35#5964C2×C311yescharacteristic, complemented
36C3×#525—21no—
37C3×#525—32no—
38C3×#525D311yescharacteristic, complemented
39C3×#525C2×C311yescharacteristic, complemented
40#5791C2×C312yescomplemented
41C3×#458—34no—
42C3×B(4,𝔽2)—34no—
43C3×#410—31no—
44C3×#410—32no—
45#5240C2×C311yescharacteristic, complemented
46#5053C2×C314yescomplemented
47#5032C2×C314yescomplemented
48#5006C2×C312yescomplemented
49C24×C32C2311yescharacteristic
50C32×#41—22no—
51C32×#41—22no—
52C2×C32×Q8D411yescharacteristic, complemented
53C2×C32×D4—22no—
54C2×C32×D4D411yescharacteristic, complemented
55C2×C32×D4C2312yes—
56C22×C32×C4—21no—
57C22×C32×C4—21no—
58C22×C32×C4—22no—
59C22×C32×C4—22no—
60C22×C32×C4D412yescomplemented
61C22×C32×C4C2311yescharacteristic
62C22×C32×C4C2311yescharacteristic
63C2×C3×#67—24no—
64C2×C3×#67—24no—
65C2×C3×#67C2314yes—
66C3×#239—24no—
67C3×D3×Q8—24no—
68C3×#237—24no—
69C3×#237—28no—
70C3×D3×D4—24no—
71C3×D3×D4—28no—
72C3×#235—24no—
73C3×#235—24no—
74C3×#235—22no—
75C3×#235—24no—
76C3×#235—22no—
77C3×#235—22no—
78C3×#235—22no—
79C2×C3×D12—22no—
80C2×C3×D12D412yescomplemented
81C2×C3×C4×D3—24no—
82C2×C3×C4×D3D414yescomplemented
83C2×C3×Dic6—22no—
84C2×C3×Dic6D412yescomplemented
85C32×C4⋊C4—21no—
86C32×C4⋊C4—22no—
87C32×C22⋊C4—22no—
88C32×C22⋊C4—22no—
89C32×C22⋊C4C2312yes—
90C32×C42—21no—
91C3×#217—24no—
92C3×#217C2314yes—
93C3×(C2×D3)⋊C4—24no—
94C3×C4⋊Dic3—22no—
95C3×Dic3⋊C4—24no—
96C3×C4×Dic3—22no—
97#3025—31noSylow
98C3×2−1+4—62no—
99C3×2−1+4—61no—
100C3×H(5,𝔽2)—34no—
101C3×H(5,𝔽2)—62no—
102C3×H(5,𝔽2)—61no—
103C2×C3×#41—21no—
104C2×C3×#41—32no—
105C2×C3×#41—64no—
106C2×C3×#41—62no—
107C2×C3×#41C2×D311yescharacteristic
108C2×C3×#41C22×C311yescharacteristic
109C23×C3×C4—21no—
110C23×C3×C4C2×D311yescharacteristic, complemented
111C23×C3×C4C22×C311yescharacteristic, complemented
112#1010—22no—
113#1009—22no—
114D3×#41—24no—
115#1007—21no—
116#1004—21no—
117#1004C22×C314yes—
118C2×#235—22no—
119C2×#235C22×C312yes—
120C3×#123—22no—
121C3×#123—34no—
122C3×#123C2×D312yescomplemented
123C3×#123C22×C312yescomplemented
124C3×C22⋊Q8—22no—
125C3×C22⋊Q8—21no—
126C3×C22⋊Q8—21no—
127C3×C22⋊Q8—62no—
128C3×#121—22no—
129C3×#121—21no—
130C3×#121—21no—
131C3×#121—62no—
132C3×#120—22no—
133C3×#120—34no—
134C3×#120C2×D312yescomplemented
135C3×#120C22×C312yescomplemented
136C3×C4×D4—24no—
137C3×C4×D4—22no—
138C3×C4×D4—22no—
139C3×C4×D4—64no—
140C3×#117—21no—
141C3×#117—32no—
142C3×#117C2×D311yescharacteristic, complemented
143C3×#117C22×C311yescharacteristic, complemented
144#953C22×C314yescomplemented
145#930—22no—
146#929C22×C314yescomplemented
147C4×#67—24no—
148#926C22×C312yescomplemented
149#924—22no—
150C3×#99—34no—
151C3×#99—38no—
152#834C22×C314yescomplemented
153#806C22×C318yescomplemented
154C23×C32—21no—
155C23×C32—22no—
156C23×C32—42no—
157C23×C32C2×D412yes—
158C23×C32C2411yescharacteristic
159C22×C3×D3—24no—
160C22×C3×D3C2×D414yes—
161C32×Q8—22no—
162C32×D4—24no—
163C32×D4—22no—
164C32×D4—44no—
165C2×C32×C4—22no—
166C2×C32×C4—21no—
167C2×C32×C4—22no—
168C2×C32×C4—22no—
169C2×C32×C4—22no—
170C2×C32×C4—41no—
171C2×C32×C4—42no—
172C2×C32×C4—41no—
173C2×C32×C4C2×D412yes—
174C2×C32×C4C2×D412yes—
175C2×C32×C4C2×D412yes—
176C2×C32×C4C2×D411yescharacteristic
177C2×C32×C4C2×D411yescharacteristic
178C3×#67—28no—
179C3×#67—24no—
180C3×#67—24no—
181C3×#67—48no—
182C2×C3×Dic3—24no—
183C2×C3×Dic3—24no—
184C2×C3×Dic3C2×D414yes—
185C3×D12—24no—
186C3×D12—22no—
187C3×D12—22no—
188C3×C4×D3—28no—
189C3×C4×D3—24no—
190C3×C4×D3—24no—
191C3×Dic6—24no—
192C3×Dic6—22no—
193C3×Dic6—22no—
194#585—31no—
195#525—32no—
196#525C3×D311yescharacteristic, complemented
197#458—34no—
198B(4,𝔽2)—34no—
199#410—31no—
200#410—32no—
201C24×C3—21no—
202C24×C3C22×D311yescharacteristic
203C24×C3C23×C311yescharacteristic
204C3×#41—22no—
205C3×#41—22no—
206C3×#41—22no—
207C3×#41—22no—
208C3×#41—42no—
209C3×#41—42no—
210C3×#41—64no—
211C3×#41—64no—
212C3×#41—68no—
213C3×#41—64no—
214C3×#41—64no—
215C3×#41—62no—
216C3×#41—62no—
217C3×#41—62no—
218C3×#41—62no—
219C3×#41—64no—
220C2×C3×Q8—21no—
221C2×C3×Q8—32no—
222C2×C3×Q8—62no—
223C2×C3×Q8—64no—
224C2×C3×Q8#6711yescharacteristic, complemented
225C2×C3×Q8C3×D411yescharacteristic, complemented
226C2×C3×D4—24no—
227C2×C3×D4—22no—
228C2×C3×D4—22no—
229C2×C3×D4—21no—
230C2×C3×D4—22no—
231C2×C3×D4—34no—
232C2×C3×D4—32no—
233C2×C3×D4—62no—
234C2×C3×D4—68no—
235C2×C3×D4—64no—
236C2×C3×D4—64no—
237C2×C3×D4—64no—
238C2×C3×D4#6711yescharacteristic, complemented
239C2×C3×D4C3×D411yescharacteristic, complemented
240C2×C3×D4C22×D312yes—
241C2×C3×D4C23×C312yes—
242C22×C3×C4—22no—
243C22×C3×C4—22no—
244C22×C3×C4—22no—
245C22×C3×C4—22no—
246C22×C3×C4—21no—
247C22×C3×C4—21no—
248C22×C3×C4—22no—
249C22×C3×C4—22no—
250C22×C3×C4—21no—
251C22×C3×C4—21no—
252C22×C3×C4—22no—
253C22×C3×C4—21no—
254C22×C3×C4—21no—
255C22×C3×C4—34no—
256C22×C3×C4—42no—
257C22×C3×C4—42no—
258C22×C3×C4—64no—
259C22×C3×C4#6712yescomplemented
260C22×C3×C4C3×D412yescomplemented
261C22×C3×C4C22×D311yescharacteristic
262C22×C3×C4C22×D311yescharacteristic
263C22×C3×C4C23×C311yescharacteristic
264C22×C3×C4C23×C311yescharacteristic
265C2×#67—24no—
266C2×#67—24no—
267C2×#67C23×C314yes—
268#239—24no—
269D3×Q8—24no—
270#237—24no—
271#237—28no—
272D3×D4—24no—
273D3×D4—28no—
274#235—24no—
275#235—24no—
276#235—22no—
277#235—24no—
278#235—22no—
279#235—22no—
280#235—22no—
281C2×D12—22no—
282C2×D12C3×D412yescomplemented
283C2×C4×D3—24no—
284C2×C4×D3C3×D414yescomplemented
285C2×Dic6—22no—
286C2×Dic6C3×D412yescomplemented
287C3×C4⋊C4—22no—
288C3×C4⋊C4—24no—
289C3×C4⋊C4—21no—
290C3×C4⋊C4—22no—
291C3×C4⋊C4—21no—
292C3×C4⋊C4—22no—
293C3×C4⋊C4—64no—
294C3×C4⋊C4—62no—
295C3×C22⋊C4—24no—
296C3×C22⋊C4—24no—
297C3×C22⋊C4—22no—
298C3×C22⋊C4—22no—
299C3×C22⋊C4—22no—
300C3×C22⋊C4—22no—
301C3×C22⋊C4—22no—
302C3×C22⋊C4—34no—
303C3×C22⋊C4—64no—
304C3×C22⋊C4—64no—
305C3×C22⋊C4C22×D312yes—
306C3×C22⋊C4C23×C312yes—
307C3×C42—22no—
308C3×C42—21no—
309C3×C42—21no—
310C3×C42—62no—
311#217—24no—
312#217C23×C314yes—
313(C2×D3)⋊C4—24no—
314C4⋊Dic3—22no—
315Dic3⋊C4—24no—
316C4×Dic3—22no—
317C22×C32—22no—
318C22×C32—24no—
319C22×C32—22no—
320C22×C32—41no—
321C22×C32—42no—
322C22×C32—41no—
323C22×C32—42no—
324C22×C32—41no—
325C22×C32C22×D412yes—
326C22×C32C22×D411yescharacteristic
327C2×C3×D3—24no—
328C2×C3×D3—44no—
329C2×C3×D3—84no—
330C32×C4—22no—
331C32×C4—42no—
332C32×C4—41no—
333C32×C4#12011yescharacteristic
334C32×C4#12012yes—
335C32×C4#12011yescharacteristic
336C3×Dic3—24no—
337C3×Dic3—44no—
3382−1+4—62no—
3392−1+4—61no—
340H(5,𝔽2)—34no—
341H(5,𝔽2)—62no—
342H(5,𝔽2)—61no—
343C2×#41—32no—
344C2×#41—64no—
345C2×#41—62no—
346C2×#41C2×C3×D311yescharacteristic
347C23×C4C2×C3×D311yescharacteristic, complemented
348#123—34no—
349#123C2×C3×D312yescomplemented
350C22⋊Q8—21no—
351C22⋊Q8—62no—
352#121—21no—
353#121—62no—
354#120—34no—
355#120C2×C3×D312yescomplemented
356C4×D4—22no—
357C4×D4—64no—
358#117—32no—
359#117C2×C3×D311yescharacteristic, complemented
360#99—34no—
361#99—38no—
362C23×C3—22no—
363C23×C3—22no—
364C23×C3—21no—
365C23×C3—22no—
366C23×C3—21no—
367C23×C3—21no—
368C23×C3—22no—
369C23×C3—34no—
370C23×C3—42no—
371C23×C3—42no—
372C23×C3—42no—
373C23×C3—44no—
374C23×C3—64no—
375C23×C3C2×#6712yes—
376C23×C3C2×C3×D412yes—
377C23×C3C23×D311yescharacteristic
378C23×C3C24×C311yescharacteristic
379C22×D3—24no—
380C22×D3C2×C3×D414yes—
381C3×Q8—22no—
382C3×Q8—22no—
383C3×Q8—42no—
384C3×Q8—64no—
385C3×Q8—62no—
386C3×Q8—62no—
387C3×D4—24no—
388C3×D4—24no—
389C3×D4—22no—
390C3×D4—22no—
391C3×D4—42no—
392C3×D4—44no—
393C3×D4—44no—
394C3×D4—44no—
395C3×D4—48no—
396C3×D4—64no—
397C3×D4—68no—
398C3×D4—64no—
399C3×D4—64no—
400C3×D4—62no—
401C3×D4—62no—
402C3×D4—128no—
403C2×C3×C4—22no—
404C2×C3×C4—22no—
405C2×C3×C4—22no—
406C2×C3×C4—22no—
407C2×C3×C4—24no—
408C2×C3×C4—22no—
409C2×C3×C4—22no—
410C2×C3×C4—22no—
411C2×C3×C4—21no—
412C2×C3×C4—22no—
413C2×C3×C4—22no—
414C2×C3×C4—21no—
415C2×C3×C4—22no—
416C2×C3×C4—22no—
417C2×C3×C4—21no—
418C2×C3×C4—21no—
419C2×C3×C4—22no—
420C2×C3×C4—34no—
421C2×C3×C4—42no—
422C2×C3×C4—42no—
423C2×C3×C4—42no—
424C2×C3×C4—42no—
425C2×C3×C4—42no—
426C2×C3×C4—44no—
427C2×C3×C4—41no—
428C2×C3×C4—42no—
429C2×C3×C4—41no—
430C2×C3×C4—41no—
431C2×C3×C4—42no—
432C2×C3×C4—41no—
433C2×C3×C4—68no—
434C2×C3×C4—64no—
435C2×C3×C4—64no—
436C2×C3×C4—64no—
437C2×C3×C4—64no—
438C2×C3×C4D3×D412yes—
439C2×C3×C4D3×D412yes—
440C2×C3×C4C2×#6712yes—
441C2×C3×C4C2×#6711yescharacteristic
442C2×C3×C4C2×#6711yescharacteristic
443C2×C3×C4C2×C3×D412yes—
444C2×C3×C4C2×C3×D412yes—
445C2×C3×C4C2×C3×D412yes—
446C2×C3×C4C2×C3×D411yescharacteristic
447C2×C3×C4C2×C3×D411yescharacteristic
448#67—28no—
449#67—24no—
450#67—24no—
451#67—48no—
452C2×Dic3—24no—
453C2×Dic3—24no—
454C2×Dic3C2×C3×D414yes—
455D12—24no—
456D12—22no—
457D12—22no—
458C4×D3—28no—
459C4×D3—24no—
460C4×D3—24no—
461Dic6—24no—
462Dic6—22no—
463Dic6—22no—
464C2×C32—21no—
465C2×C32—22no—
466C2×C32—42no—
467C2×C32—42no—
468C2×C32C2×#12011yescharacteristic
469C3×D3—44no—
470C24C22×C3×D311yescharacteristic
471#41—22no—
472#41—22no—
473#41—64no—
474#41—64no—
475#41—68no—
476#41—64no—
477#41—64no—
478#41—62no—
479#41—62no—
480#41—62no—
481#41—62no—
482#41—64no—
483C2×Q8—32no—
484C2×Q8—62no—
485C2×Q8—64no—
486C2×Q8C3×#6711yescharacteristic, complemented
487C2×D4—22no—
488C2×D4—34no—
489C2×D4—32no—
490C2×D4—62no—
491C2×D4—68no—
492C2×D4—64no—
493C2×D4—64no—
494C2×D4—64no—
495C2×D4C3×#6711yescharacteristic, complemented
496C2×D4C22×C3×D312yes—
497C22×C4—22no—
498C22×C4—22no—
499C22×C4—21no—
500C22×C4—21no—
501C22×C4—34no—
502C22×C4—64no—
503C22×C4C3×#6712yescomplemented
504C22×C4C22×C3×D311yescharacteristic
505C22×C4C22×C3×D311yescharacteristic
506C4⋊C4—21no—
507C4⋊C4—22no—
508C4⋊C4—64no—
509C4⋊C4—62no—
510C22⋊C4—22no—
511C22⋊C4—22no—
512C22⋊C4—34no—
513C22⋊C4—64no—
514C22⋊C4—64no—
515C22⋊C4C22×C3×D312yes—
516C42—21no—
517C42—62no—
518C22×C3—24no—
519C22×C3—24no—
520C22×C3—22no—
521C22×C3—22no—
522C22×C3—24no—
523C22×C3—22no—
524C22×C3—22no—
525C22×C3—22no—
526C22×C3—21no—
527C22×C3—42no—
528C22×C3—44no—
529C22×C3—41no—
530C22×C3—41no—
531C22×C3—42no—
532C22×C3—42no—
533C22×C3—42no—
534C22×C3—42no—
535C22×C3—42no—
536C22×C3—42no—
537C22×C3—41no—
538C22×C3—41no—
539C22×C3—42no—
540C22×C3—44no—
541C22×C3—44no—
542C22×C3—41no—
543C22×C3—41no—
544C22×C3—64no—
545C22×C3—124no—
546C22×C3—244no—
547C22×C3C2×D3×D412yes—
548C22×C3C22×#6711yescharacteristic
549C22×C3C22×C3×D412yes—
550C22×C3C22×C3×D411yescharacteristic
551C2×D3—24no—
552C2×D3—44no—
553C2×D3—84no—
554C3×C4—22no—
555C3×C4—22no—
556C3×C4—21no—
557C3×C4—21no—
558C3×C4—22no—
559C3×C4—42no—
560C3×C4—42no—
561C3×C4—44no—
562C3×C4—42no—
563C3×C4—42no—
564C3×C4—41no—
565C3×C4—41no—
566C3×C4—64no—
567C3×C4—124no—
568C3×C4#93711yescharacteristic
569C3×C4#93712yes—
570C3×C4#93711yescharacteristic
571C3×C4C3×#12011yescharacteristic
572C3×C4C3×#12012yes—
573C3×C4C3×#12011yescharacteristic
574Dic3—24no—
575Dic3—44no—
576C32#302511yescharacteristic, complemented, Sylow
577C23—22no—
578C23—21no—
579C23—34no—
580C23—42no—
581C23—64no—
582C23C2×C3×#6712yes—
583C23C23×C3×D311yescharacteristic
584Q8—22no—
585Q8—64no—
586Q8—62no—
587Q8—62no—
588D4—24no—
589D4—22no—
590D4—44no—
591D4—64no—
592D4—68no—
593D4—64no—
594D4—64no—
595D4—62no—
596D4—62no—
597D4—128no—
598C2×C4—22no—
599C2×C4—22no—
600C2×C4—22no—
601C2×C4—22no—
602C2×C4—21no—
603C2×C4—34no—
604C2×C4—41no—
605C2×C4—41no—
606C2×C4—42no—
607C2×C4—68no—
608C2×C4—64no—
609C2×C4—64no—
610C2×C4—64no—
611C2×C4—64no—
612C2×C4C3×D3×D412yes—
613C2×C4C3×D3×D412yes—
614C2×C4C2×C3×#6712yes—
615C2×C4C2×C3×#6711yescharacteristic
616C2×C4C2×C3×#6711yescharacteristic
617C2×C3—22no—
618C2×C3—22no—
619C2×C3—21no—
620C2×C3—21no—
621C2×C3—22no—
622C2×C3—21no—
623C2×C3—42no—
624C2×C3—44no—
625C2×C3—42no—
626C2×C3—42no—
627C2×C3—42no—
628C2×C3—42no—
629C2×C3—82no—
630C2×C3—124no—
631C2×C3C2×#93711yescharacteristic
632C2×C3C2×C3×#12011yescharacteristic
633D3—44no—
634C22—22no—
635C22—24no—
636C22—22no—
637C22—41no—
638C22—42no—
639C22—41no—
640C22—42no—
641C22—41no—
642C22—64no—
643C22—124no—
644C22—244no—
645C22C2×C3×D3×D412yes—
646C22C22×C3×#6711yescharacteristic
647C4—22no—
648C4—42no—
649C4—41no—
650C4—64no—
651C4—124no—
652C4C3×#93711yescharacteristic
653C4C3×#93711yescharacteristic
654C4C3×#93712yes—
655C3—21no—
656C3#8293611yescharacteristic, direct product factor
657C3C3×#302511yescharacteristic, complemented
658C2—21no—
659C2—22no—
660C2—42no—
661C2—42no—
662C2—124no—
663C2C2×C3×#93711yescharacteristic
subgroupG/H
centerC3×C4#937
commutator, cosocleC23×C3C24×C3
FrattiniC23C23×C3×D3
FittingC32×#525C2
socleC2×C32C2×#120
hypercenterC3×#525D3
hypocenterC3C3×#3025
LCSG ▷ C23×C3 ▷ C2×C3 ▷ C3
UCSC1 ◁ C3×C4 ◁ C22×C3×C4 ◁ C3×#525

Complements

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

NH ≅ G/Ntype
1. C3×#5964C2semidirect
2. C32×#525C2semidirect
3. C3×#5791C2semidirect
4. C3×#5240C2semidirect
5. C3×#5053C2semidirect
6. C3×#5032C2semidirect
7. C3×#5006C2semidirect
9. #82936C3direct (N × H)
11. C23×C32×C4C22semidirect
20. C32×#123C22semidirect
23. C32×#120C22semidirect
25. C32×#117C22semidirect
26. C3×#953C22semidirect
28. C3×#929C22semidirect
30. C3×#926C22semidirect
32. C3×#834C22semidirect
33. C3×#806C22semidirect
35. #5964C2×C3semidirect
38. C3×#525D3semidirect
39. C3×#525C2×C3semidirect
40. #5791C2×C3semidirect
45. #5240C2×C3semidirect
46. #5053C2×C3semidirect
47. #5032C2×C3semidirect
48. #5006C2×C3semidirect
52. C2×C32×Q8D4semidirect
54. C2×C32×D4D4semidirect
60. C22×C32×C4D4semidirect
80. C2×C3×D12D4semidirect
82. C2×C3×C4×D3D4semidirect
84. C2×C3×Dic6D4semidirect
110. C23×C3×C4C2×D3semidirect
111. C23×C3×C4C22×C3semidirect
122. C3×#123C2×D3semidirect
123. C3×#123C22×C3semidirect
134. C3×#120C2×D3semidirect
135. C3×#120C22×C3semidirect
142. C3×#117C2×D3semidirect
143. C3×#117C22×C3semidirect
144. #953C22×C3semidirect
146. #929C22×C3semidirect
148. #926C22×C3semidirect
152. #834C22×C3semidirect
153. #806C22×C3semidirect
196. #525C3×D3semidirect
224. C2×C3×Q8#67semidirect
225. C2×C3×Q8C3×D4semidirect
238. C2×C3×D4#67semidirect
239. C2×C3×D4C3×D4semidirect
259. C22×C3×C4#67semidirect
260. C22×C3×C4C3×D4semidirect
282. C2×D12C3×D4semidirect
284. C2×C4×D3C3×D4semidirect
286. C2×Dic6C3×D4semidirect
347. C23×C4C2×C3×D3semidirect
349. #123C2×C3×D3semidirect
355. #120C2×C3×D3semidirect
359. #117C2×C3×D3semidirect
486. C2×Q8C3×#67semidirect
495. C2×D4C3×#67semidirect
503. C22×C4C3×#67semidirect
576. C32#3025semidirect
656. C3#82936direct (N × H)
657. C3C3×#3025semidirect

Maximal subgroups

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

subgroupindex
C3×#59642
C32×#5252
C3×#57912
C3×#52402
C3×#50532
C3×#50322
C3×#50062
C3×#30253
#829363