Finite Group Databasebeta

← C3×#10591184 #13158363

Subgroups — C3×#10591184 #13158363

Order 1728.

950 conjugacy classes of subgroups.

The subgroup lattice has 704 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C3×#3828C211yesmaximal, characteristic
2C32×#924C211yesmaximal, characteristic, complemented
3C2×C3×#3719C211yesmaximal, characteristic, complemented
4C2×C3×#3717C211yesmaximal, characteristic, complemented
5C32×#830C211yesmaximal, characteristic, complemented
6C3×#63567C211yesmaximal, characteristic, complemented
7C3×#63564C211yesmaximal, characteristic, complemented
8C3×#5047—31nomaximal
9C3×#4733—31nomaximal
10#10591184C311yesmaximal, characteristic, direct product factor
11C22×C33×C4C2211yescharacteristic
12C2×C3×#638—21no—
13C3×#3828—22no—
14C3×#3828—22no—
15C2×C3×C4⋊(C3⋊D3)C2211yescharacteristic
16C2×C3×C4×C3⋊D3—21no—
17C2×C3×#634C2211yescharacteristic
18C2×C32×Dic6C2211yescharacteristic
19C32×#217—21no—
20C32×C4⋊Dic3C2211yescharacteristic
21C32×Dic3⋊C4—21no—
22C2×C32×C3⋊C8C2211yescharacteristic
23C2×C32×C3⋊C8C2211yescharacteristic
24C3×#3719—22no—
25C3×#3717—22no—
26C2×#3828C2×C311yescharacteristic
27C2×C3×#235—31no—
28C2×C3×#235—31no—
29C2×C3×#235—61no—
30C32×C22⋊Q8—31no—
31C2×C3×#216—31no—
32C2×C3×#215—31no—
33C3×#924—21no—
34C3×#924D311yescharacteristic, complemented
35C3×#924C2×C311yescharacteristic, complemented
36C2×C3×Dic12—31no—
37C2×C3×#204—31no—
38C2×#3719C2×C311yescharacteristic, complemented
39C2×#3717C2×C311yescharacteristic, complemented
40C32×C22⋊C8—31no—
41C3×#830—21no—
42C3×#830D311yescharacteristic, complemented
43C3×#830C2×C311yescharacteristic, complemented
44C3×#821—31no—
45C3×#816—31no—
46C3×#810—31no—
47C3×#809—31no—
48#63567C2×C311yescharacteristic, complemented
49#63564C2×C311yescharacteristic, complemented
50C23×C33D411yescharacteristic
51C22×C3×C3⋊D3—21no—
52C2×C33×C4—21no—
53C2×C33×C4—21no—
54C2×C33×C4D411yescharacteristic
55C2×C33×C4C2311yescharacteristic
56C3×#638—24no—
57C2×C3×C3⋊Dic3—21no—
58C3×C4⋊(C3⋊D3)—21no—
59C3×C4⋊(C3⋊D3)D412yes—
60C3×C4×C3⋊D3—24no—
61C3×#634—21no—
62C3×#634D412yes—
63C2×C32×Dic3—21no—
64C2×C32×Dic3—21no—
65C32×Dic6—21no—
66C32×Dic6—21no—
67C32×C3⋊C8—21no—
68C32×C3⋊C8—21no—
69C3×#452—91no—
70#5047—31no—
71#4733—31no—
72C2×C32×Q8—31no—
73C22×C32×C4—21no—
74C22×C32×C4—21no—
75C22×C32×C4—21no—
76C22×C32×C4—41no—
77C22×C32×C4C2×D311yescharacteristic
78C22×C32×C4C2×D311yescharacteristic
79C22×C32×C4C22×C311yescharacteristic
80C2×#638—21no—
81#3828—22no—
82#3828—22no—
83C2×C4⋊(C3⋊D3)C22×C311yescharacteristic
84C2×C4×C3⋊D3—21no—
85C2×#634C22×C311yescharacteristic
86C2×C3×#67—62no—
87C2×C3×#67—61no—
88C2×C3×#67—61no—
89C3×#235—62no—
90C3×#235—62no—
91C3×#235—62no—
92C3×#235—62no—
93C3×#235—64no—
94C3×#235—64no—
95C2×C3×D12—31no—
96C2×C3×D12—31no—
97C2×C3×D12—61no—
98C2×C3×C4×D3—62no—
99C2×C3×C4×D3—61no—
100C2×C3×C4×D3—61no—
101C2×C3×Dic6—21no—
102C2×C3×Dic6—31no—
103C2×C3×Dic6—31no—
104C2×C3×Dic6—61no—
105C2×C3×Dic6C2×D311yescharacteristic
106C2×C3×Dic6C22×C311yescharacteristic
107C2×C32×C8—31no—
108C2×C32×C8—31no—
109C32×C4⋊C4—31no—
110C32×C4⋊C4—61no—
111C32×C22⋊C4—61no—
112C3×#217—22no—
113C3×#217—21no—
114C3×#217—21no—
115C3×#216—62no—
116C3×#215—62no—
117C3×C4⋊Dic3—21no—
118C3×C4⋊Dic3C2×D311yescharacteristic
119C3×C4⋊Dic3C22×C311yescharacteristic
120C3×Dic3⋊C4—22no—
121C3×Dic3⋊C4—21no—
122C3×Dic3⋊C4—21no—
123C2×C3×C3⋊C8—21no—
124C2×C3×C3⋊C8—21no—
125C2×C3×C3⋊C8C2×D311yescharacteristic
126C2×C3×C3⋊C8C2×D311yescharacteristic
127C2×C3×C3⋊C8C22×C311yescharacteristic
128C2×C3×C3⋊C8C22×C311yescharacteristic
129C3×Dic12—62no—
130C3×#204—62no—
131#3719—22no—
132#3717—22no—
133C22×C33—21no—
134C22×C33—21no—
135C22×C33—21no—
136C22×C33C2×D411yescharacteristic
137C2×C3×C3⋊D3—22no—
138C2×C3×C3⋊D3—41no—
139C2×C3×C3⋊D3—41no—
140C33×C4—21no—
141C33×C4C2×D411yescharacteristic
142C33×C4C2×D411yescharacteristic
143C3×C3⋊Dic3—22no—
144C32×Dic3—41no—
145C32×Dic3—41no—
146C2×C3×#41—91no—
147C2×#235—31no—
148C2×#235—31no—
149C2×#235—61no—
150C2×C3×Q16—91no—
151C2×C3×SD16—91no—
152C3×C22⋊Q8—31no—
153C3×C22⋊Q8—31no—
154C3×C22⋊Q8—61no—
155C2×#216—31no—
156C2×#215—31no—
157#924C3×D311yescharacteristic, complemented
158C2×Dic12—31no—
159C2×#204—31no—
160C3×#103—91no—
161C3×#102—91no—
162C3×C22⋊C8—31no—
163C3×C22⋊C8—31no—
164C3×C22⋊C8—61no—
165#830C3×D311yescharacteristic, complemented
166#821—31no—
167#816—31no—
168#810—31no—
169#809—31no—
170C23×C32—21no—
171C23×C32—21no—
172C23×C32—21no—
173C23×C32—41no—
174C23×C32D1211yescharacteristic
175C23×C32#6711yescharacteristic
176C23×C32C3×D411yescharacteristic
177C22×C3⋊D3—21no—
178C22×C3×D3—62no—
179C22×C3×D3—61no—
180C22×C3×D3—61no—
181C32×Q8—61no—
182C32×Q8—61no—
183C2×C32×C4—21no—
184C2×C32×C4—21no—
185C2×C32×C4—22no—
186C2×C32×C4—22no—
187C2×C32×C4—21no—
188C2×C32×C4—21no—
189C2×C32×C4—21no—
190C2×C32×C4—21no—
191C2×C32×C4—21no—
192C2×C32×C4—21no—
193C2×C32×C4—21no—
194C2×C32×C4—21no—
195C2×C32×C4—21no—
196C2×C32×C4—21no—
197C2×C32×C4—41no—
198C2×C32×C4—41no—
199C2×C32×C4—41no—
200C2×C32×C4—41no—
201C2×C32×C4—41no—
202C2×C32×C4—41no—
203C2×C32×C4—42no—
204C2×C32×C4—42no—
205C2×C32×C4—61no—
206C2×C32×C4—61no—
207C2×C32×C4D1211yescharacteristic
208C2×C32×C4#6711yescharacteristic
209C2×C32×C4C3×D411yescharacteristic
210C2×C32×C4C22×D311yescharacteristic
211C2×C32×C4C22×D311yescharacteristic
212C2×C32×C4C23×C311yescharacteristic
213#638—24no—
214C2×C3⋊Dic3—21no—
215C4⋊(C3⋊D3)—21no—
216C4⋊(C3⋊D3)C3×D412yes—
217C4×C3⋊D3—24no—
218#634—21no—
219#634C3×D412yes—
220C3×#67—68no—
221C3×#67—64no—
222C3×#67—64no—
223C2×C3×Dic3—22no—
224C2×C3×Dic3—22no—
225C2×C3×Dic3—21no—
226C2×C3×Dic3—21no—
227C2×C3×Dic3—21no—
228C2×C3×Dic3—21no—
229C2×C3×Dic3—62no—
230C2×C3×Dic3—61no—
231C2×C3×Dic3—61no—
232C3×D12—32no—
233C3×D12—32no—
234C3×D12—62no—
235C3×D12—62no—
236C3×D12—61no—
237C3×D12—61no—
238C3×C4×D3—68no—
239C3×C4×D3—64no—
240C3×C4×D3—64no—
241C3×Dic6—21no—
242C3×Dic6—21no—
243C3×Dic6—21no—
244C3×Dic6—21no—
245C3×Dic6—32no—
246C3×Dic6—32no—
247C3×Dic6—41no—
248C3×Dic6—41no—
249C3×Dic6—62no—
250C3×Dic6—62no—
251C3×Dic6—61no—
252C3×Dic6—61no—
253C32×C8—61no—
254C32×C8—61no—
255C3×C3⋊C8—21no—
256C3×C3⋊C8—21no—
257C3×C3⋊C8—21no—
258C3×C3⋊C8—21no—
259C3×C3⋊C8—41no—
260C3×C3⋊C8—41no—
261#452—91noSylow
262C2×C33—41no—
263C2×C33#12011yescharacteristic
264C2×C33#13511yescharacteristic
265C2×C33#13711yescharacteristic
266C3×C3⋊D3—42no—
267C3×#41—182no—
268C3×#41—182no—
269C2×C3×Q8—31no—
270C2×C3×Q8—31no—
271C2×C3×Q8—61no—
272C2×C3×Q8—91no—
273C2×C3×D4—91no—
274C2×C3×D4—181no—
275C22×C3×C4—21no—
276C22×C3×C4—21no—
277C22×C3×C4—21no—
278C22×C3×C4—41no—
279C22×C3×C4—181no—
280C22×C3×C4D3211yescharacteristic
281C22×C3×C4C2×C3×D311yescharacteristic
282C22×C3×C4C2×C3×D311yescharacteristic
283C2×#67—62no—
284C2×#67—61no—
285C2×#67—61no—
286#235—62no—
287#235—62no—
288#235—62no—
289#235—62no—
290#235—64no—
291#235—64no—
292C2×D12—31no—
293C2×D12—31no—
294C2×D12—61no—
295C2×C4×D3—62no—
296C2×C4×D3—61no—
297C2×C4×D3—61no—
298C2×Dic6—31no—
299C2×Dic6—31no—
300C2×Dic6—61no—
301C2×Dic6C2×C3×D311yescharacteristic
302C3×Q16—182no—
303C3×SD16—182no—
304C2×C3×C8—31no—
305C2×C3×C8—31no—
306C2×C3×C8—31no—
307C2×C3×C8—31no—
308C2×C3×C8—61no—
309C2×C3×C8—61no—
310C3×C4⋊C4—31no—
311C3×C4⋊C4—31no—
312C3×C4⋊C4—61no—
313C3×C4⋊C4—62no—
314C3×C4⋊C4—61no—
315C3×C4⋊C4—61no—
316C3×C22⋊C4—62no—
317C3×C22⋊C4—61no—
318C3×C22⋊C4—61no—
319#217—21no—
320#216—62no—
321#215—62no—
322C4⋊Dic3C2×C3×D311yescharacteristic
323Dic3⋊C4—21no—
324C2×C3⋊C8C2×C3×D311yescharacteristic
325C2×C3⋊C8C2×C3×D311yescharacteristic
326Dic12—62no—
327#204—62no—
328C22×C32—21no—
329C22×C32—21no—
330C22×C32—21no—
331C22×C32—22no—
332C22×C32—22no—
333C22×C32—22no—
334C22×C32—21no—
335C22×C32—21no—
336C22×C32—21no—
337C22×C32—21no—
338C22×C32—21no—
339C22×C32—21no—
340C22×C32—21no—
341C22×C32—21no—
342C22×C32—21no—
343C22×C32—41no—
344C22×C32—41no—
345C22×C32—41no—
346C22×C32—41no—
347C22×C32—41no—
348C22×C32—41no—
349C22×C32—41no—
350C22×C32—42no—
351C22×C32—42no—
352C22×C32—42no—
353C22×C32C2×D1211yescharacteristic
354C22×C32C2×#6711yescharacteristic
355C22×C32C2×C3×D411yescharacteristic
356C2×C3⋊D3—22no—
357C2×C3⋊D3—41no—
358C2×C3⋊D3—41no—
359C2×C3×D3—64no—
360C2×C3×D3—62no—
361C2×C3×D3—62no—
362C2×C3×D3—122no—
363C2×C3×D3—122no—
364C2×C3×D3—121no—
365C2×C3×D3—121no—
366C2×C3×D3—121no—
367C2×C3×D3—121no—
368C32×C4—21no—
369C32×C4—22no—
370C32×C4—21no—
371C32×C4—21no—
372C32×C4—21no—
373C32×C4—21no—
374C32×C4—21no—
375C32×C4—21no—
376C32×C4—21no—
377C32×C4—21no—
378C32×C4—41no—
379C32×C4—41no—
380C32×C4—41no—
381C32×C4—41no—
382C32×C4—42no—
383C32×C4—121no—
384C32×C4—121no—
385C32×C4D3×D411yescharacteristic
386C32×C4D3×D411yescharacteristic
387C32×C4D3×D411yescharacteristic
388C32×C4D3×D411yescharacteristic
389C32×C4C2×C3×D411yescharacteristic
390C32×C4C2×C3×D411yescharacteristic
391C3⋊Dic3—22no—
392C3×Dic3—42no—
393C3×Dic3—42no—
394C3×Dic3—41no—
395C3×Dic3—41no—
396C3×Dic3—41no—
397C3×Dic3—41no—
398C3×Dic3—64no—
399C3×Dic3—62no—
400C3×Dic3—62no—
401C2×#41—91no—
402C2×Q16—91no—
403C2×SD16—91no—
404C22⋊Q8—31no—
405#103—91no—
406#102—91no—
407C22⋊C8—31no—
408C33#45211yescharacteristic, complemented, Sylow
409C23×C3—21no—
410C23×C3—21no—
411C23×C3—21no—
412C23×C3—41no—
413C23×C3—181no—
414C23×C3#62611yescharacteristic
415C23×C3C3×D1211yescharacteristic
416C23×C3C3×#6711yescharacteristic
417C22×D3—62no—
418C22×D3—61no—
419C22×D3—61no—
420C3×Q8—61no—
421C3×Q8—61no—
422C3×Q8—61no—
423C3×Q8—61no—
424C3×Q8—92no—
425C3×Q8—121no—
426C3×Q8—121no—
427C3×Q8—181no—
428C3×D4—92no—
429C3×D4—184no—
430C3×D4—181no—
431C2×C3×C4—22no—
432C2×C3×C4—22no—
433C2×C3×C4—21no—
434C2×C3×C4—21no—
435C2×C3×C4—21no—
436C2×C3×C4—21no—
437C2×C3×C4—21no—
438C2×C3×C4—21no—
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—41no—
446C2×C3×C4—41no—
447C2×C3×C4—41no—
448C2×C3×C4—41no—
449C2×C3×C4—42no—
450C2×C3×C4—42no—
451C2×C3×C4—41no—
452C2×C3×C4—41no—
453C2×C3×C4—62no—
454C2×C3×C4—62no—
455C2×C3×C4—61no—
456C2×C3×C4—61no—
457C2×C3×C4—61no—
458C2×C3×C4—61no—
459C2×C3×C4—184no—
460C2×C3×C4—181no—
461C2×C3×C4#62611yescharacteristic
462C2×C3×C4C3×D1211yescharacteristic
463C2×C3×C4C3×#6711yescharacteristic
464C2×C3×C4C2×D3211yescharacteristic
465C2×C3×C4C22×C3×D311yescharacteristic
466C2×C3×C4C22×C3×D311yescharacteristic
467#67—68no—
468#67—64no—
469#67—64no—
470C2×Dic3—21no—
471C2×Dic3—21no—
472C2×Dic3—62no—
473C2×Dic3—61no—
474C2×Dic3—61no—
475D12—32no—
476D12—32no—
477D12—62no—
478D12—62no—
479D12—61no—
480D12—61no—
481C4×D3—68no—
482C4×D3—64no—
483C4×D3—64no—
484Dic6—21no—
485Dic6—21no—
486Dic6—32no—
487Dic6—32no—
488Dic6—62no—
489Dic6—62no—
490Dic6—61no—
491Dic6—61no—
492C3×C8—61no—
493C3×C8—61no—
494C3×C8—61no—
495C3×C8—61no—
496C3×C8—121no—
497C3×C8—121no—
498C3⋊C8—21no—
499C3⋊C8—21no—
500C2×C32—21no—
501C2×C32—21no—
502C2×C32—21no—
503C2×C32—21no—
504C2×C32—21no—
505C2×C32—21no—
506C2×C32—21no—
507C2×C32—21no—
508C2×C32—21no—
509C2×C32—41no—
510C2×C32—41no—
511C2×C32—41no—
512C2×C32—42no—
513C2×C32—42no—
514C2×C32—42no—
515C2×C32—44no—
516C2×C32—41no—
517C2×C32—41no—
518C2×C32—41no—
519C2×C32#88211yescharacteristic
520C2×C32#90411yescharacteristic
521C2×C32#90911yescharacteristic
522C2×C32#93711yescharacteristic
523C2×C32#94211yescharacteristic
524C2×C32#95011yescharacteristic
525C2×C32C3×#12011yescharacteristic
526C2×C32C3×#13511yescharacteristic
527C2×C32C3×#13711yescharacteristic
528C3⋊D3—42no—
529C3×D3—124no—
530C3×D3—122no—
531C3×D3—122no—
532#41—182no—
533#41—182no—
534C2×Q8—31no—
535C2×Q8—91no—
536C2×D4—91no—
537C2×D4—181no—
538C22×C4—181no—
539C22×C4C3×D3211yescharacteristic
540Q16—182no—
541SD16—182no—
542C2×C8—31no—
543C2×C8—31no—
544C4⋊C4—31no—
545C4⋊C4—61no—
546C22⋊C4—61no—
547C22×C3—22no—
548C22×C3—22no—
549C22×C3—22no—
550C22×C3—21no—
551C22×C3—21no—
552C22×C3—21no—
553C22×C3—21no—
554C22×C3—21no—
555C22×C3—21no—
556C22×C3—21no—
557C22×C3—21no—
558C22×C3—21no—
559C22×C3—21no—
560C22×C3—21no—
561C22×C3—21no—
562C22×C3—41no—
563C22×C3—41no—
564C22×C3—41no—
565C22×C3—41no—
566C22×C3—41no—
567C22×C3—41no—
568C22×C3—42no—
569C22×C3—42no—
570C22×C3—42no—
571C22×C3—41no—
572C22×C3—182no—
573C22×C3—361no—
574C22×C3—361no—
575C22×C3C2×#62611yescharacteristic
576C22×C3C2×C3×D1211yescharacteristic
577C22×C3C2×C3×#6711yescharacteristic
578C2×D3—64no—
579C2×D3—62no—
580C2×D3—62no—
581C2×D3—122no—
582C2×D3—122no—
583C2×D3—121no—
584C2×D3—121no—
585C2×D3—121no—
586C2×D3—121no—
587C3×C4—22no—
588C3×C4—21no—
589C3×C4—21no—
590C3×C4—21no—
591C3×C4—21no—
592C3×C4—21no—
593C3×C4—21no—
594C3×C4—21no—
595C3×C4—21no—
596C3×C4—21no—
597C3×C4—41no—
598C3×C4—41no—
599C3×C4—42no—
600C3×C4—41no—
601C3×C4—41no—
602C3×C4—122no—
603C3×C4—122no—
604C3×C4—121no—
605C3×C4—121no—
606C3×C4—121no—
607C3×C4—121no—
608C3×C4—182no—
609C3×C4#381111yescharacteristic
610C3×C4#381111yescharacteristic
611C3×C4C3×D3×D411yescharacteristic
612C3×C4C3×D3×D411yescharacteristic
613C3×C4C3×D3×D411yescharacteristic
614C3×C4C3×D3×D411yescharacteristic
615Dic3—41no—
616Dic3—41no—
617Dic3—64no—
618Dic3—62no—
619Dic3—62no—
620C32—21no—
621C32—21no—
622C32—21no—
623C32—41no—
624C32#473311yescharacteristic, complemented
625C32#504711yescharacteristic, complemented
626C32C3×#45211yescharacteristic, complemented
627C23—181no—
628C23C3×#62611yescharacteristic
629Q8—61no—
630Q8—61no—
631Q8—92no—
632Q8—181no—
633D4—92no—
634D4—184no—
635D4—181no—
636C2×C4—21no—
637C2×C4—21no—
638C2×C4—61no—
639C2×C4—61no—
640C2×C4—184no—
641C2×C4—181no—
642C2×C4C3×#62611yescharacteristic
643C2×C4C2×C3×D3211yescharacteristic
644C8—61no—
645C8—61no—
646C2×C3—21no—
647C2×C3—21no—
648C2×C3—21no—
649C2×C3—21no—
650C2×C3—21no—
651C2×C3—21no—
652C2×C3—21no—
653C2×C3—21no—
654C2×C3—21no—
655C2×C3—42no—
656C2×C3—42no—
657C2×C3—42no—
658C2×C3—44no—
659C2×C3—41no—
660C2×C3—41no—
661C2×C3—41no—
662C2×C3—41no—
663C2×C3—41no—
664C2×C3—41no—
665C2×C3—362no—
666C2×C3#6382911yescharacteristic
667C2×C3#6383311yescharacteristic
668C2×C3#6398111yescharacteristic
669C2×C3C3×#88211yescharacteristic
670C2×C3C3×#90411yescharacteristic
671C2×C3C3×#90911yescharacteristic
672C2×C3C3×#93711yescharacteristic
673C2×C3C3×#94211yescharacteristic
674C2×C3C3×#95011yescharacteristic
675D3—124no—
676D3—122no—
677D3—122no—
678C22—21no—
679C22—21no—
680C22—21no—
681C22—182no—
682C22—361no—
683C22—361no—
684C22C2×C3×#62611yescharacteristic
685C4—21no—
686C4—121no—
687C4—121no—
688C4—182no—
689C4C3×#381111yescharacteristic
690C4C3×#381111yescharacteristic
691C3—21no—
692C3—21no—
693C3—21no—
694C3—41no—
695C3#1059118411yescharacteristic, direct product factor
696C3C3×#473311yescharacteristic, complemented
697C3C3×#504711yescharacteristic, complemented
698C2—41no—
699C2—362no—
700C2C3×#6382911yescharacteristic
701C2C3×#6383311yescharacteristic
702C2C3×#6398111yescharacteristic
subgroupG/H
centerC22×C3C2×#626
commutator, cosocleC2×C32×C4C23×C3
FrattiniC2×C4C2×C3×D32
FittingC22×C33×C4C22
socleC22×C33C2×D4
prime radicalC2×C3×#3828C2
hypercenterC22×C3×C4D32
hypocenterC32C3×#452
LCSG ▷ C2×C32×C4 ▷ C2×C32 ▷ C32
UCSC1 ◁ C22×C3 ◁ C22×C3×C4

Complements

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

NH ≅ G/Ntype
2. C32×#924C2semidirect
3. C2×C3×#3719C2semidirect
4. C2×C3×#3717C2semidirect
5. C32×#830C2semidirect
6. C3×#63567C2semidirect
7. C3×#63564C2semidirect
10. #10591184C3direct (N × H)
34. C3×#924D3semidirect
35. C3×#924C2×C3semidirect
38. C2×#3719C2×C3semidirect
39. C2×#3717C2×C3semidirect
42. C3×#830D3semidirect
43. C3×#830C2×C3semidirect
48. #63567C2×C3semidirect
49. #63564C2×C3semidirect
157. #924C3×D3semidirect
165. #830C3×D3semidirect
408. C33#452semidirect
624. C32#4733semidirect
625. C32#5047semidirect
626. C32C3×#452semidirect
695. C3#10591184direct (N × H)
696. C3C3×#4733semidirect
697. C3C3×#5047semidirect

Maximal subgroups

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

subgroupindex
C2×C3×#38282
C32×#9242
C2×C3×#37192
C2×C3×#37172
C32×#8302
C3×#635672
C3×#635642
C3×#50473
C3×#47333
#105911843