Finite Group Databasebeta

← C3×#10591481 #13158494

Subgroups — C3×#10591481 #13158494

Order 1728.

860 conjugacy classes of subgroups.

The subgroup lattice has 688 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C3×#3753C211yesmaximal, characteristic, complemented
2C32×D4×Dic3C211yesmaximal, characteristic, complemented
3C2×C32×#213C211yesmaximal, characteristic, complemented
4C3×#63911C211yesmaximal, characteristic, complemented
5C3×Dic3⋊(C3⋊C8)C211yesmaximal, characteristic, complemented
6C3×#63564C211yesmaximal, characteristic, complemented
7C3×#63562C211yesmaximal, characteristic, complemented
8C3×#5150—31nomaximal
9C3×#5015—31nomaximal
10#10591481C311yesmaximal, characteristic, direct product factor
11C2×C33×D4C2211yescharacteristic
12C2×C3×C4⋊(C3⋊D3)C2211yescharacteristic
13C22×C32×Dic3—21no—
14C2×C32×D12C2211yescharacteristic
15C2×C3×#626—21no—
16C2×C3×#626—21no—
17C3×#3753—22no—
18C2×C3×C3⋊(C3⋊C8)C2211yescharacteristic
19C32×#217—21no—
20C32×#213—22no—
21C32×C4⋊Dic3C2211yescharacteristic
22C32×C4×Dic3C2211yescharacteristic
23C2×C32×C3⋊C8C2211yescharacteristic
24C2×C32×D8—31no—
25C32×C4×D4—31no—
26C2×#3753C2×C311yescharacteristic, complemented
27C3×#940—31no—
28C3×D4×Dic3—21no—
29C3×D4×Dic3D311yescharacteristic, complemented
30C3×D4×Dic3C2×C311yescharacteristic, complemented
31C2×C3×#213—21no—
32C2×C3×#213—31no—
33C2×C3×#213—31no—
34C2×C3×#213—61no—
35C2×C3×#213D311yescharacteristic, complemented
36C2×C3×#213C2×C311yescharacteristic, complemented
37C3×#874—31no—
38#63911C2×C311yescharacteristic, complemented
39C3×#832—31no—
40C3×#821—31no—
41C3×Dic3⋊C8—31no—
42C3×#809—31no—
43C3×#809—31no—
44C3×C4⋊(C3⋊C8)—31no—
45Dic3⋊(C3⋊C8)C2×C311yescharacteristic, complemented
46#63564C2×C311yescharacteristic, complemented
47#63562C2×C311yescharacteristic, complemented
48C23×C33—21no—
49C22×C3×C3⋊D3—21no—
50C22×C32×D3—21no—
51C33×D4—21no—
52C33×D4D412yescomplemented
53C2×C33×C4C2311yescharacteristic
54C3×C4⋊(C3⋊D3)—21no—
55C3×C4⋊(C3⋊D3)—21no—
56C2×C32×Dic3—21no—
57C2×C32×Dic3—42no—
58C2×C32×Dic3D411yescharacteristic
59C2×C32×Dic3D411yescharacteristic
60C32×D12—21no—
61C32×D12—21no—
62C3×#626—42no—
63C3×#626—42no—
64C3×C3⋊(C3⋊C8)—21no—
65C32×C3⋊C8—21no—
66C3×#459—91no—
67#5150—31no—
68#5015—31no—
69C2×C32×D4—21no—
70C2×C32×D4—21no—
71C2×C32×D4—21no—
72C2×C32×D4—31no—
73C2×C32×D4—41no—
74C2×C32×D4C2×D311yescharacteristic
75C2×C32×D4C2×D311yescharacteristic
76C2×C32×D4C22×C311yescharacteristic
77C22×C32×C4—61no—
78C2×C4⋊(C3⋊D3)C22×C311yescharacteristic
79C2×C3×#67—61no—
80C2×C3×#67—61no—
81C22×C3×Dic3—22no—
82C22×C3×Dic3—21no—
83C22×C3×Dic3—21no—
84C2×C3×D12—21no—
85C2×C3×D12—31no—
86C2×C3×D12—31no—
87C2×C3×D12—61no—
88C2×C3×D12—61no—
89C2×C3×D12—61no—
90C2×C3×D12C2×D311yescharacteristic
91C2×C3×D12C22×C311yescharacteristic
92C2×#626—21no—
93C2×#626—21no—
94C32×D8—62no—
95C2×C32×C8—31no—
96C32×C4⋊C4—31no—
97C32×C22⋊C4—61no—
98C32×C42—31no—
99#3753—22no—
100C2×C3⋊(C3⋊C8)C22×C311yescharacteristic
101C3×#217—22no—
102C3×#217—21no—
103C3×#217—21no—
104C3×#213—24no—
105C3×#213—22no—
106C3×#213—22no—
107C3×#213—64no—
108C3×#213—62no—
109C3×#213—62no—
110C3×C4⋊Dic3—21no—
111C3×C4⋊Dic3C2×D311yescharacteristic
112C3×C4⋊Dic3C22×C311yescharacteristic
113C3×C4×Dic3—21no—
114C3×C4×Dic3C2×D311yescharacteristic
115C3×C4×Dic3C22×C311yescharacteristic
116C2×C3×C3⋊C8—21no—
117C2×C3×C3⋊C8—31no—
118C2×C3×C3⋊C8—31no—
119C2×C3×C3⋊C8—61no—
120C2×C3×C3⋊C8C2×D311yescharacteristic
121C2×C3×C3⋊C8C22×C311yescharacteristic
122C22×C33—22no—
123C22×C33—41no—
124C22×C33—41no—
125C22×C33C2×D411yescharacteristic
126C2×C3×C3⋊D3—41no—
127C2×C3×C3⋊D3—41no—
128C2×C3×C3⋊D3—41no—
129C2×C32×D3—41no—
130C2×C32×D3—41no—
131C2×C32×D3—41no—
132C33×C4C2×D411yescharacteristic
133C33×C4#4111yescharacteristic
134C32×Dic3—21no—
135C32×Dic3—41no—
136C32×Dic3D812yescomplemented
137C2×C3×D8—31no—
138C2×C3×D8—31no—
139C2×C3×D8—61no—
140C2×C3×D8—91no—
141C3×#127—91no—
142C3×C4×D4—31no—
143C3×C4×D4—31no—
144C3×C4×D4—61no—
145#940—31no—
146D4×Dic3C3×D311yescharacteristic, complemented
147C2×#213—31no—
148C2×#213—31no—
149C2×#213—61no—
150C2×#213C3×D311yescharacteristic, complemented
151#874—31no—
152C3×C4⋊C8—91no—
153C3×#102—91no—
154C3×#102—91no—
155#832—31no—
156#821—31no—
157Dic3⋊C8—31no—
158#809—31no—
159#809—31no—
160C4⋊(C3⋊C8)—31no—
161C23×C32—21no—
162C23×C32—22no—
163C23×C32—21no—
164C23×C32—21no—
165C23×C32—41no—
166C23×C32—41no—
167C23×C32—42no—
168C23×C32—61no—
169C22×C3⋊D3—21no—
170C22×C3×D3—21no—
171C22×C3×D3—21no—
172C22×C3×D3—41no—
173C22×C3×D3—61no—
174C22×C3×D3—61no—
175C22×C3×D3—121no—
176C32×D4—21no—
177C32×D4—22no—
178C32×D4—21no—
179C32×D4—21no—
180C32×D4—22no—
181C32×D4—22no—
182C32×D4—22no—
183C32×D4—42no—
184C32×D4—41no—
185C32×D4—41no—
186C32×D4—42no—
187C32×D4—61no—
188C32×D4—61no—
189C32×D4D1212yescomplemented
190C32×D4#6712yescomplemented
191C32×D4C3×D412yescomplemented
192C2×C32×C4—21no—
193C2×C32×C4—21no—
194C2×C32×C4—21no—
195C2×C32×C4—31no—
196C2×C32×C4—31no—
197C2×C32×C4—41no—
198C2×C32×C4—61no—
199C2×C32×C4—122no—
200C2×C32×C4C22×D311yescharacteristic
201C2×C32×C4C22×D311yescharacteristic
202C2×C32×C4C23×C311yescharacteristic
203C4⋊(C3⋊D3)—21no—
204C4⋊(C3⋊D3)—21no—
205C3×#67—122no—
206C3×#67—122no—
207C2×C3×Dic3—22no—
208C2×C3×Dic3—21no—
209C2×C3×Dic3—21no—
210C2×C3×Dic3—21no—
211C2×C3×Dic3—21no—
212C2×C3×Dic3—44no—
213C2×C3×Dic3—42no—
214C2×C3×Dic3—42no—
215C2×C3×Dic3#6711yescharacteristic
216C2×C3×Dic3#6711yescharacteristic
217C2×C3×Dic3C3×D411yescharacteristic
218C2×C3×Dic3C3×D411yescharacteristic
219C3×D12—22no—
220C3×D12—21no—
221C3×D12—21no—
222C3×D12—21no—
223C3×D12—21no—
224C3×D12—41no—
225C3×D12—62no—
226C3×D12—61no—
227C3×D12—61no—
228C3×D12—61no—
229C3×D12—61no—
230C3×D12—121no—
231C3×D12—122no—
232C3×D12—122no—
233#626—42no—
234#626—42no—
235C32×C8—61no—
236C3⋊(C3⋊C8)—21no—
237C3×C3⋊C8—22no—
238C3×C3⋊C8—21no—
239C3×C3⋊C8—21no—
240C3×C3⋊C8—62no—
241C3×C3⋊C8—61no—
242C3×C3⋊C8—61no—
243#459—91noSylow
244C2×C33—42no—
245C2×C33#12111yescharacteristic
246C2×C33C2×D811yescharacteristic
247C2×C33AGL(1,ℤ/8)11yescharacteristic
248C3×C3⋊D3—81no—
249C32×D3—81no—
250C2×C3×D4—21no—
251C2×C3×D4—21no—
252C2×C3×D4—21no—
253C2×C3×D4—31no—
254C2×C3×D4—31no—
255C2×C3×D4—41no—
256C2×C3×D4—61no—
257C2×C3×D4—91no—
258C2×C3×D4—181no—
259C2×C3×D4—181no—
260C2×C3×D4D3211yescharacteristic
261C2×C3×D4C2×C3×D311yescharacteristic
262C2×C3×D4C2×C3×D311yescharacteristic
263C22×C3×C4—61no—
264C22×C3×C4—61no—
265C22×C3×C4—62no—
266C2×#67—61no—
267C2×#67—61no—
268C22×Dic3—21no—
269C2×D12—31no—
270C2×D12—31no—
271C2×D12—61no—
272C2×D12—61no—
273C2×D12—61no—
274C2×D12C2×C3×D311yescharacteristic
275C3×D8—64no—
276C3×D8—62no—
277C3×D8—62no—
278C3×D8—182no—
279C2×C3×C8—31no—
280C2×C3×C8—31no—
281C2×C3×C8—61no—
282C2×C3×C8—91no—
283C3×C4⋊C4—31no—
284C3×C4⋊C4—31no—
285C3×C4⋊C4—61no—
286C3×C22⋊C4—61no—
287C3×C22⋊C4—61no—
288C3×C22⋊C4—62no—
289C3×C42—31no—
290C3×C42—31no—
291C3×C42—61no—
292#217—21no—
293#213—22no—
294#213—64no—
295#213—62no—
296#213—62no—
297C4⋊Dic3C2×C3×D311yescharacteristic
298C4×Dic3C2×C3×D311yescharacteristic
299C2×C3⋊C8—31no—
300C2×C3⋊C8—31no—
301C2×C3⋊C8—61no—
302C2×C3⋊C8C2×C3×D311yescharacteristic
303C22×C32—22no—
304C22×C32—24no—
305C22×C32—22no—
306C22×C32—22no—
307C22×C32—21no—
308C22×C32—21no—
309C22×C32—21no—
310C22×C32—41no—
311C22×C32—42no—
312C22×C32—42no—
313C22×C32—44no—
314C22×C32—41no—
315C22×C32—41no—
316C22×C32—42no—
317C22×C32—42no—
318C22×C32—41no—
319C22×C32—41no—
320C22×C32—41no—
321C22×C32—41no—
322C22×C32—81no—
323C22×C32—81no—
324C22×C32—81no—
325C22×C32—81no—
326C22×C32—82no—
327C22×C32—82no—
328C22×C32—121no—
329C22×C32—121no—
330C22×C32—121no—
331C22×C32D3×D411yescharacteristic
332C22×C32C2×#6711yescharacteristic
333C22×C32C2×C3×D411yescharacteristic
334C2×C3⋊D3—41no—
335C2×C3⋊D3—41no—
336C2×C3⋊D3—41no—
337C2×C3×D3—42no—
338C2×C3×D3—41no—
339C2×C3×D3—41no—
340C2×C3×D3—41no—
341C2×C3×D3—41no—
342C2×C3×D3—41no—
343C2×C3×D3—41no—
344C2×C3×D3—81no—
345C2×C3×D3—81no—
346C2×C3×D3—122no—
347C2×C3×D3—121no—
348C2×C3×D3—121no—
349C2×C3×D3—121no—
350C2×C3×D3—121no—
351C2×C3×D3—121no—
352C2×C3×D3—121no—
353C2×C3×D3—241no—
354C2×C3×D3—241no—
355C32×C4—21no—
356C32×C4—21no—
357C32×C4—21no—
358C32×C4—21no—
359C32×C4—21no—
360C32×C4—21no—
361C32×C4—32no—
362C32×C4—41no—
363C32×C4—41no—
364C32×C4—61no—
365C32×C4—121no—
366C32×C4C2×D1211yescharacteristic
367C32×C4#23511yescharacteristic
368C32×C4#23711yescharacteristic
369C32×C4C2×#6711yescharacteristic
370C32×C4C2×C3×D411yescharacteristic
371C32×C4C3×#4111yescharacteristic
372C3×Dic3—21no—
373C3×Dic3—21no—
374C3×Dic3—22no—
375C3×Dic3—41no—
376C3×Dic3—42no—
377C3×Dic3—41no—
378C3×Dic3—41no—
379C3×Dic3#21312yescomplemented
380C3×Dic3C3×D812yescomplemented
381C2×D8—31no—
382C2×D8—91no—
383#127—91no—
384C4×D4—31no—
385C4⋊C8—91no—
386#102—91no—
387#102—91no—
388C33#45911yescharacteristic, complemented, Sylow
389C23×C3—22no—
390C23×C3—21no—
391C23×C3—21no—
392C23×C3—21no—
393C23×C3—41no—
394C23×C3—41no—
395C23×C3—42no—
396C23×C3—61no—
397C23×C3—61no—
398C23×C3—121no—
399C23×C3—181no—
400C22×D3—21no—
401C22×D3—61no—
402C22×D3—61no—
403C22×D3—121no—
404C3×D4—22no—
405C3×D4—21no—
406C3×D4—21no—
407C3×D4—21no—
408C3×D4—22no—
409C3×D4—22no—
410C3×D4—22no—
411C3×D4—41no—
412C3×D4—41no—
413C3×D4—42no—
414C3×D4—42no—
415C3×D4—62no—
416C3×D4—61no—
417C3×D4—61no—
418C3×D4—61no—
419C3×D4—61no—
420C3×D4—121no—
421C3×D4—181no—
422C3×D4—181no—
423C3×D4—362no—
424C3×D4—362no—
425C3×D4#62612yescomplemented
426C3×D4C3×D1212yescomplemented
427C3×D4C3×#6712yescomplemented
428C2×C3×C4—21no—
429C2×C3×C4—21no—
430C2×C3×C4—21no—
431C2×C3×C4—31no—
432C2×C3×C4—31no—
433C2×C3×C4—31no—
434C2×C3×C4—31no—
435C2×C3×C4—41no—
436C2×C3×C4—61no—
437C2×C3×C4—61no—
438C2×C3×C4—62no—
439C2×C3×C4—61no—
440C2×C3×C4—61no—
441C2×C3×C4—122no—
442C2×C3×C4—122no—
443C2×C3×C4—124no—
444C2×C3×C4C2×D3211yescharacteristic
445C2×C3×C4C22×C3×D311yescharacteristic
446C2×C3×C4C22×C3×D311yescharacteristic
447#67—122no—
448#67—122no—
449C2×Dic3—21no—
450C2×Dic3—42no—
451C2×Dic3C3×#6711yescharacteristic
452C2×Dic3C3×#6711yescharacteristic
453D12—21no—
454D12—21no—
455D12—62no—
456D12—61no—
457D12—61no—
458D12—61no—
459D12—61no—
460D12—121no—
461D12—122no—
462D12—122no—
463C3×C8—62no—
464C3×C8—61no—
465C3×C8—61no—
466C3×C8—181no—
467C3⋊C8—21no—
468C3⋊C8—62no—
469C3⋊C8—61no—
470C3⋊C8—61no—
471C2×C32—21no—
472C2×C32—21no—
473C2×C32—21no—
474C2×C32—21no—
475C2×C32—21no—
476C2×C32—21no—
477C2×C32—21no—
478C2×C32—21no—
479C2×C32—21no—
480C2×C32—41no—
481C2×C32—41no—
482C2×C32—41no—
483C2×C32—42no—
484C2×C32—44no—
485C2×C32—42no—
486C2×C32—42no—
487C2×C32—82no—
488C2×C32—82no—
489C2×C32—84no—
490C2×C32—241no—
491C2×C32D3×D811yescharacteristic
492C2×C32#91111yescharacteristic
493C2×C32#93011yescharacteristic
494C2×C32C2×#21311yescharacteristic
495C2×C32#93911yescharacteristic
496C2×C32#94911yescharacteristic
497C2×C32C3×#12111yescharacteristic
498C2×C32C2×C3×D811yescharacteristic
499C2×C32C3×AGL(1,ℤ/8)11yescharacteristic
500C3⋊D3—81no—
501C3×D3—82no—
502C3×D3—81no—
503C3×D3—81no—
504C3×D3—242no—
505C3×D3—241no—
506C3×D3—241no—
507C2×D4—31no—
508C2×D4—91no—
509C2×D4—181no—
510C2×D4—181no—
511C2×D4C3×D3211yescharacteristic
512C22×C4—61no—
513D8—62no—
514D8—182no—
515C2×C8—31no—
516C2×C8—91no—
517C4⋊C4—31no—
518C22⋊C4—61no—
519C42—31no—
520C22×C3—24no—
521C22×C3—22no—
522C22×C3—22no—
523C22×C3—22no—
524C22×C3—21no—
525C22×C3—21no—
526C22×C3—21no—
527C22×C3—42no—
528C22×C3—42no—
529C22×C3—44no—
530C22×C3—42no—
531C22×C3—42no—
532C22×C3—41no—
533C22×C3—41no—
534C22×C3—41no—
535C22×C3—41no—
536C22×C3—41no—
537C22×C3—41no—
538C22×C3—41no—
539C22×C3—81no—
540C22×C3—81no—
541C22×C3—81no—
542C22×C3—81no—
543C22×C3—82no—
544C22×C3—82no—
545C22×C3—122no—
546C22×C3—121no—
547C22×C3—121no—
548C22×C3—121no—
549C22×C3—121no—
550C22×C3—121no—
551C22×C3—121no—
552C22×C3—241no—
553C22×C3—241no—
554C22×C3—361no—
555C22×C3—361no—
556C22×C3—361no—
557C22×C3D3×#6711yescharacteristic
558C22×C3C3×D3×D411yescharacteristic
559C22×C3C2×C3×#6711yescharacteristic
560C2×D3—41no—
561C2×D3—41no—
562C2×D3—41no—
563C2×D3—122no—
564C2×D3—121no—
565C2×D3—121no—
566C2×D3—121no—
567C2×D3—121no—
568C2×D3—121no—
569C2×D3—121no—
570C2×D3—241no—
571C2×D3—241no—
572C3×C4—21no—
573C3×C4—21no—
574C3×C4—21no—
575C3×C4—21no—
576C3×C4—21no—
577C3×C4—21no—
578C3×C4—32no—
579C3×C4—32no—
580C3×C4—41no—
581C3×C4—41no—
582C3×C4—62no—
583C3×C4—61no—
584C3×C4—61no—
585C3×C4—121no—
586C3×C4—122no—
587C3×C4—121no—
588C3×C4—121no—
589C3×C4#380411yescharacteristic
590C3×C4C2×#62611yescharacteristic
591C3×C4C2×C3×D1211yescharacteristic
592C3×C4C3×#23511yescharacteristic
593C3×C4C3×#23711yescharacteristic
594C3×C4C2×C3×#6711yescharacteristic
595Dic3—21no—
596Dic3—41no—
597Dic3C3×#21312yescomplemented
598C32—21no—
599C32—21no—
600C32—21no—
601C32—41no—
602C32#501511yescharacteristic, complemented
603C32#515011yescharacteristic, complemented
604C32C3×#45911yescharacteristic, complemented
605C23—21no—
606C23—61no—
607C23—181no—
608D4—21no—
609D4—61no—
610D4—61no—
611D4—181no—
612D4—181no—
613D4—362no—
614D4—362no—
615D4C3×#62612yescomplemented
616C2×C4—31no—
617C2×C4—31no—
618C2×C4—61no—
619C2×C4—122no—
620C2×C4C2×C3×D3211yescharacteristic
621C8—61no—
622C8—181no—
623C2×C3—21no—
624C2×C3—21no—
625C2×C3—21no—
626C2×C3—21no—
627C2×C3—21no—
628C2×C3—21no—
629C2×C3—21no—
630C2×C3—21no—
631C2×C3—21no—
632C2×C3—44no—
633C2×C3—42no—
634C2×C3—42no—
635C2×C3—42no—
636C2×C3—41no—
637C2×C3—41no—
638C2×C3—41no—
639C2×C3—82no—
640C2×C3—82no—
641C2×C3—84no—
642C2×C3—242no—
643C2×C3—241no—
644C2×C3—241no—
645C2×C3—721no—
646C2×C3D3×#21311yescharacteristic
647C2×C3#6392511yescharacteristic
648C2×C3#6397811yescharacteristic
649C2×C3C3×D3×D811yescharacteristic
650C2×C3C3×#91111yescharacteristic
651C2×C3C3×#93011yescharacteristic
652C2×C3C2×C3×#21311yescharacteristic
653C2×C3C3×#93911yescharacteristic
654C2×C3C3×#94911yescharacteristic
655D3—81no—
656D3—242no—
657D3—241no—
658D3—241no—
659C22—22no—
660C22—41no—
661C22—41no—
662C22—121no—
663C22—121no—
664C22—121no—
665C22—361no—
666C22—361no—
667C22—361no—
668C22C3×D3×#6711yescharacteristic
669C4—32no—
670C4—61no—
671C4—121no—
672C4C3×#380411yescharacteristic
673C4C2×C3×#62611yescharacteristic
674C3—21no—
675C3—21no—
676C3—21no—
677C3—41no—
678C3#1059148111yescharacteristic, direct product factor
679C3C3×#501511yescharacteristic, complemented
680C3C3×#515011yescharacteristic, complemented
681C2—42no—
682C2—241no—
683C2—721no—
684C2C3×D3×#21311yescharacteristic
685C2C3×#6392511yescharacteristic
686C2C3×#6397811yescharacteristic
subgroupG/H
centerC22×C3D3×#67
commutator, cosocleC2×C32×C4C23×C3
FrattiniC2×C4C2×C3×D32
FittingC2×C33×D4C22
socleC22×C33C2×D4
hypercenterC2×C3×D4D32
hypocenterC32C3×#459
LCSG ▷ C2×C32×C4 ▷ C2×C32 ▷ C32
UCSC1 ◁ C22×C3 ◁ C2×C3×C4 ◁ C2×C3×D4

Complements

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

NH ≅ G/Ntype
1. C2×C3×#3753C2semidirect
2. C32×D4×Dic3C2semidirect
3. C2×C32×#213C2semidirect
4. C3×#63911C2semidirect
5. C3×Dic3⋊(C3⋊C8)C2semidirect
6. C3×#63564C2semidirect
7. C3×#63562C2semidirect
10. #10591481C3direct (N × H)
26. C2×#3753C2×C3semidirect
29. C3×D4×Dic3D3semidirect
30. C3×D4×Dic3C2×C3semidirect
35. C2×C3×#213D3semidirect
36. C2×C3×#213C2×C3semidirect
38. #63911C2×C3semidirect
45. Dic3⋊(C3⋊C8)C2×C3semidirect
46. #63564C2×C3semidirect
47. #63562C2×C3semidirect
52. C33×D4D4semidirect
136. C32×Dic3D8semidirect
146. D4×Dic3C3×D3semidirect
150. C2×#213C3×D3semidirect
189. C32×D4D12semidirect
190. C32×D4#67semidirect
191. C32×D4C3×D4semidirect
379. C3×Dic3#213semidirect
380. C3×Dic3C3×D8semidirect
388. C33#459semidirect
425. C3×D4#626semidirect
426. C3×D4C3×D12semidirect
427. C3×D4C3×#67semidirect
597. Dic3C3×#213semidirect
602. C32#5015semidirect
603. C32#5150semidirect
604. C32C3×#459semidirect
615. D4C3×#626semidirect
678. C3#10591481direct (N × H)
679. C3C3×#5015semidirect
680. C3C3×#5150semidirect

Maximal subgroups

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

subgroupindex
C2×C3×#37532
C32×D4×Dic32
C2×C32×#2132
C3×#639112
C3×Dic3⋊(C3⋊C8)2
C3×#635642
C3×#635622
C3×#51503
C3×#50153
#105914813