Finite Group Databasebeta

← #13162001

Subgroups — #13162001

Order 1728.

960 conjugacy classes of subgroups.

The subgroup lattice has 710 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C3×#3832C211yesmaximal, characteristic, complemented
2C2×C3×#3755C211yesmaximal, characteristic, complemented
3#11723696C211yesmaximal, characteristic, complemented
4C2×#88810C211yesmaximal, characteristic, complemented
5C3×#63662C211yesmaximal, characteristic, complemented
6#11722075C211yesmaximal, characteristic, complemented
7#11722072C211yesmaximal, characteristic, complemented
8#10591593—31nomaximal
9#10591588—31nomaximal
10#10591586—31nomaximal
11C2×C33×Q8C2211yescharacteristic
12C3×#3832—22no—
13C3×#3832—22no—
14C2×C3×C4⋊(C3⋊D3)—21no—
15C2×C3×C4⋊(C3⋊D3)C2211yescharacteristic
16C2×C3×C4⋊(C3⋊D3)C2211yescharacteristic
17C2×C3×C4×C3⋊D3—21no—
18C2×C3×C4×C3⋊D3C2211yescharacteristic
19C2×#6295—21no—
20C3×#3755—22no—
21C3×C4⋊(C3⋊Dic3)C2211yescharacteristic
22C2×C3×C3⋊(C3⋊C8)C2211yescharacteristic
23C2×C3×C3⋊(C3⋊C8)C2211yescharacteristic
24#88814—21no—
25#88810—22no—
26C2×#3832D311yescharacteristic, complemented
27C2×C3×#239—31no—
28C2×C3×#239—31no—
29C2×C3×#239—61no—
30C2×#3755D311yescharacteristic, complemented
31C2×C3×#215—31no—
32C2×C3×#215—31no—
33C2×C3×#215—61no—
34#63916—31no—
35#63909—31no—
36#63908—31no—
37C2×#3714—31no—
38C2×#3714—31no—
39C2×#3713—31no—
40#63662D311yescharacteristic, complemented
41C3×#835—31no—
42C3×#835—31no—
43C3×#835—61no—
44#63564—31no—
45#63563—31no—
46#63562—31no—
47#63557—31no—
48(C2×D3)⋊(C3⋊C8)—31no—
49(C2×D3)⋊(C3⋊C8)—31no—
50C22×C3×C3⋊D3—21no—
51C22×C3×C3⋊D3—21no—
52C22×C3×C3⋊D3D411yescharacteristic
53C33×Q8—21no—
54C33×Q8D412yescomplemented
55C2×C33×C4—21no—
56C2×C33×C4C2311yescharacteristic
57C2×C3×C3⋊Dic3—21no—
58C2×C3×C3⋊Dic3D411yescharacteristic
59C3×C4⋊(C3⋊D3)—24no—
60C3×C4⋊(C3⋊D3)—21no—
61C3×C4⋊(C3⋊D3)—21no—
62C3×C4⋊(C3⋊D3)—21no—
63C3×C4⋊(C3⋊D3)D412yescomplemented
64C3×C4×C3⋊D3—24no—
65C3×C4×C3⋊D3—21no—
66C3×C4×C3⋊D3—21no—
67#6295—42no—
68C3×C3⋊(C3⋊C8)—21no—
69C3×C3⋊(C3⋊C8)—21no—
70#5238—91no—
71#5172—91no—
72#4810—91no—
73C2×C32×Q8—21no—
74C2×C32×Q8—21no—
75C2×C32×Q8—21no—
76C2×C32×Q8—41no—
77C2×C32×Q8C2×D311yescharacteristic
78C2×C32×Q8C2×D311yescharacteristic
79C2×C32×Q8C2×D311yescharacteristic
80#3832—22no—
81#3832—22no—
82C2×C4⋊(C3⋊D3)—21no—
83C2×C4⋊(C3⋊D3)C2×D311yescharacteristic
84C2×C4⋊(C3⋊D3)C2×D311yescharacteristic
85C2×C4×C3⋊D3—21no—
86C2×C4×C3⋊D3C2×D311yescharacteristic
87C3×#239—62no—
88C3×#239—62no—
89C3×#239—64no—
90C3×#239—64no—
91C3×#239—62no—
92C3×#239—62no—
93C2×C3×D12—31no—
94C2×C3×D12—31no—
95C2×C3×D12—31no—
96C2×C3×D12—31no—
97C2×C3×D12—61no—
98C2×C3×D12—61no—
99C2×C3×D12—61no—
100C2×C3×D12—62no—
101C2×C3×D12—61no—
102C2×C3×C4×D3—31no—
103C2×C3×C4×D3—31no—
104C2×C3×C4×D3—61no—
105C2×C3×C4×D3—61no—
106C2×C3×C4×D3—61no—
107C2×C3×C4×D3—62no—
108C2×#626—61no—
109C2×#626—61no—
110C2×#625—61no—
111#3755—22no—
112C4⋊(C3⋊Dic3)C2×D311yescharacteristic
113C2×C3⋊(C3⋊C8)C2×D311yescharacteristic
114C2×C3⋊(C3⋊C8)C2×D311yescharacteristic
115C3×#215—64no—
116C3×#215—62no—
117C3×#215—62no—
118C3×C4⋊Dic3—31no—
119C3×C4⋊Dic3—31no—
120C3×C4⋊Dic3—61no—
121C2×C3×C3⋊C8—31no—
122C2×C3×C3⋊C8—31no—
123C2×C3×C3⋊C8—31no—
124C2×C3×C3⋊C8—31no—
125C2×C3×C3⋊C8—61no—
126C2×C3×C3⋊C8—61no—
127#3722—61no—
128(C2×D3)⋊Dic3—61no—
129(C2×D3)⋊Dic3—61no—
130#3714—62no—
131#3714—62no—
132#3713—62no—
133C22×C33C2×D411yescharacteristic
134C2×C3×C3⋊D3—21no—
135C2×C3×C3⋊D3—22no—
136C2×C3×C3⋊D3—21no—
137C2×C3×C3⋊D3—21no—
138C2×C3×C3⋊D3—41no—
139C2×C3×C3⋊D3—41no—
140C2×C3×C3⋊D3—41no—
141C2×C3×C3⋊D3—41no—
142C2×C3×C3⋊D3—41no—
143C33×C4—22no—
144C33×C4C2×D411yescharacteristic
145C33×C4C2×D411yescharacteristic
146C3×C3⋊Dic3—21no—
147C3×C3⋊Dic3—41no—
148C2×C3×#41—91no—
149C2×#239—31no—
150C2×#239—31no—
151C2×#239—61no—
152C2×C3×SD16—91no—
153C2×#215—31no—
154C2×#215—31no—
155C2×#215—61no—
156#938—91no—
157C2×#213—91no—
158C2×#213—91no—
159#930—91no—
160C2×D24—91no—
161#895—91no—
162C3×#103—91no—
163#835—31no—
164#835—31no—
165#835—61no—
166#832—91no—
167#830—91no—
168#821—91no—
169(C2×D3)⋊C8—91no—
170(C2×D3)⋊C8—91no—
171#809—91no—
172C22×C3⋊D3—21no—
173C22×C3⋊D3—21no—
174C22×C3⋊D3#6711yescharacteristic
175C22×C3×D3—31no—
176C22×C3×D3—31no—
177C22×C3×D3—61no—
178C22×C3×D3—62no—
179C22×C3×D3—61no—
180C22×C3×D3—61no—
181C22×C3×D3—61no—
182C22×C3×D3—61no—
183C22×C3×D3—121no—
184C32×Q8—21no—
185C32×Q8—22no—
186C32×Q8—21no—
187C32×Q8—21no—
188C32×Q8—22no—
189C32×Q8—22no—
190C32×Q8—22no—
191C32×Q8—42no—
192C32×Q8—41no—
193C32×Q8—41no—
194C32×Q8—42no—
195C32×Q8D1212yescomplemented
196C32×Q8#6712yescomplemented
197C32×Q8#6712yescomplemented
198C2×C32×C4—21no—
199C2×C32×C4—22no—
200C2×C32×C4—21no—
201C2×C32×C4—21no—
202C2×C32×C4—21no—
203C2×C32×C4—21no—
204C2×C32×C4—21no—
205C2×C32×C4—41no—
206C2×C32×C4—41no—
207C2×C32×C4—41no—
208C2×C32×C4—42no—
209C2×C32×C4C22×D311yescharacteristic
210C2×C32×C4C22×D311yescharacteristic
211C2×C32×C4C22×D311yescharacteristic
212C2×C3⋊Dic3—21no—
213C2×C3⋊Dic3#6711yescharacteristic
214C4⋊(C3⋊D3)—24no—
215C4⋊(C3⋊D3)—21no—
216C4⋊(C3⋊D3)—21no—
217C4⋊(C3⋊D3)—21no—
218C4⋊(C3⋊D3)#6712yescomplemented
219C4×C3⋊D3—24no—
220C4×C3⋊D3—21no—
221C4×C3⋊D3—21no—
222C2×C3×Dic3—31no—
223C2×C3×Dic3—31no—
224C2×C3×Dic3—61no—
225C2×C3×Dic3—61no—
226C2×C3×Dic3—61no—
227C2×C3×Dic3—121no—
228C3×D12—32no—
229C3×D12—32no—
230C3×D12—62no—
231C3×D12—68no—
232C3×D12—64no—
233C3×D12—64no—
234C3×D12—62no—
235C3×D12—62no—
236C3×D12—61no—
237C3×D12—61no—
238C3×D12—61no—
239C3×D12—61no—
240C3×D12—61no—
241C3×D12—61no—
242C3×D12—121no—
243C3×C4×D3—68no—
244C3×C4×D3—64no—
245C3×C4×D3—64no—
246C3×C4×D3—62no—
247C3×C4×D3—62no—
248C3×C4×D3—61no—
249C3×C4×D3—61no—
250C3×C4×D3—61no—
251C3×C4×D3—61no—
252#626—122no—
253#626—122no—
254#625—122no—
255C3⋊(C3⋊C8)—21no—
256C3⋊(C3⋊C8)—21no—
257C3×C3⋊C8—62no—
258C3×C3⋊C8—61no—
259C3×C3⋊C8—61no—
260C3×C3⋊C8—61no—
261C3×C3⋊C8—61no—
262C3×C3⋊C8—121no—
263#449—271noSylow
264C2×C33#12011yescharacteristic
265C2×C33#13511yescharacteristic
266C2×C33AGL(1,ℤ/8)11yescharacteristic
267C3×C3⋊D3—41no—
268C3×C3⋊D3—42no—
269C3×C3⋊D3—81no—
270C3×#41—182no—
271C3×#41—182no—
272C2×C3×Q8—21no—
273C2×C3×Q8—21no—
274C2×C3×Q8—21no—
275C2×C3×Q8—41no—
276C2×C3×Q8D3211yescharacteristic
277C2×C3×Q8D3211yescharacteristic
278C2×C3×Q8D3211yescharacteristic
279C2×C3×D4—91no—
280C2×C3×D4—91no—
281C2×C3×D4—181no—
282C22×C3×C4—91no—
283C22×C3×C4—181no—
284C2×#67—181no—
285C2×#67—181no—
286#239—62no—
287#239—62no—
288#239—64no—
289#239—64no—
290#239—62no—
291#239—62no—
292C2×D12—31no—
293C2×D12—31no—
294C2×D12—31no—
295C2×D12—31no—
296C2×D12—61no—
297C2×D12—61no—
298C2×D12—61no—
299C2×D12—61no—
300C2×D12—62no—
301C2×D12—181no—
302C2×C4×D3—31no—
303C2×C4×D3—31no—
304C2×C4×D3—61no—
305C2×C4×D3—61no—
306C2×C4×D3—61no—
307C2×C4×D3—62no—
308C3×SD16—182no—
309C2×C3×C8—91no—
310C2×C3×C8—91no—
311C3×C4⋊C4—91no—
312#217—181no—
313#215—64no—
314#215—62no—
315#215—62no—
316#213—182no—
317#213—182no—
318(C2×D3)⋊C4—181no—
319(C2×D3)⋊C4—181no—
320C4⋊Dic3—31no—
321C4⋊Dic3—31no—
322C4⋊Dic3—61no—
323C2×C3⋊C8—31no—
324C2×C3⋊C8—31no—
325C2×C3⋊C8—31no—
326C2×C3⋊C8—31no—
327C2×C3⋊C8—61no—
328C2×C3⋊C8—61no—
329D24—182no—
330C22×C32—21no—
331C22×C32—21no—
332C22×C32—21no—
333C22×C32—41no—
334C22×C32D3×D411yescharacteristic
335C22×C32D3×D411yescharacteristic
336C22×C32C2×#6711yescharacteristic
337C2×C3⋊D3—21no—
338C2×C3⋊D3—22no—
339C2×C3⋊D3—21no—
340C2×C3⋊D3—21no—
341C2×C3⋊D3—41no—
342C2×C3⋊D3—41no—
343C2×C3⋊D3—41no—
344C2×C3⋊D3—41no—
345C2×C3⋊D3—41no—
346C2×C3×D3—64no—
347C2×C3×D3—62no—
348C2×C3×D3—62no—
349C2×C3×D3—61no—
350C2×C3×D3—61no—
351C2×C3×D3—61no—
352C2×C3×D3—61no—
353C2×C3×D3—61no—
354C2×C3×D3—62no—
355C2×C3×D3—61no—
356C2×C3×D3—121no—
357C2×C3×D3—121no—
358C2×C3×D3—122no—
359C2×C3×D3—122no—
360C2×C3×D3—121no—
361C2×C3×D3—121no—
362C2×C3×D3—121no—
363C2×C3×D3—121no—
364C2×C3×D3—122no—
365C2×C3×D3—121no—
366C2×C3×D3—121no—
367C2×C3×D3—121no—
368C2×C3×D3—121no—
369C2×C3×D3—121no—
370C2×C3×D3—121no—
371C2×C3×D3—241no—
372C2×C3×D3—241no—
373C32×C4—22no—
374C32×C4—24no—
375C32×C4—22no—
376C32×C4—22no—
377C32×C4—21no—
378C32×C4—21no—
379C32×C4—21no—
380C32×C4—21no—
381C32×C4—21no—
382C32×C4—21no—
383C32×C4—41no—
384C32×C4—41no—
385C32×C4—42no—
386C32×C4—42no—
387C32×C4—44no—
388C32×C4C2×D1211yescharacteristic
389C32×C4D3×D411yescharacteristic
390C32×C4D3×D411yescharacteristic
391C32×C4C2×#6711yescharacteristic
392C32×C4C2×#6711yescharacteristic
393C32×C4C2×#6711yescharacteristic
394C3⋊Dic3—21no—
395C3⋊Dic3—41no—
396C3×Dic3—62no—
397C3×Dic3—61no—
398C3×Dic3—61no—
399C3×Dic3—121no—
400C3×Dic3—121no—
401C3×Dic3—241no—
402C2×#41—91no—
403C2×SD16—91no—
404C2×D8—271no—
405#121—271no—
406#103—91no—
407#102—271no—
408C22⋊C8—271no—
409C33#44911yescharacteristic, complemented, Sylow
410C23×C3—91no—
411C23×C3—181no—
412C23×C3—181no—
413C22×D3—31no—
414C22×D3—31no—
415C22×D3—61no—
416C22×D3—62no—
417C22×D3—61no—
418C22×D3—61no—
419C22×D3—61no—
420C22×D3—61no—
421C22×D3—121no—
422C3×Q8—22no—
423C3×Q8—21no—
424C3×Q8—21no—
425C3×Q8—21no—
426C3×Q8—22no—
427C3×Q8—22no—
428C3×Q8—22no—
429C3×Q8—41no—
430C3×Q8—41no—
431C3×Q8—42no—
432C3×Q8—42no—
433C3×Q8#62512yescomplemented
434C3×Q8#62612yescomplemented
435C3×Q8#62612yescomplemented
436C3×D4—92no—
437C3×D4—184no—
438C3×D4—181no—
439C3×D4—181no—
440C3×D4—181no—
441C2×C3×C4—22no—
442C2×C3×C4—21no—
443C2×C3×C4—21no—
444C2×C3×C4—21no—
445C2×C3×C4—21no—
446C2×C3×C4—21no—
447C2×C3×C4—21no—
448C2×C3×C4—41no—
449C2×C3×C4—41no—
450C2×C3×C4—42no—
451C2×C3×C4—41no—
452C2×C3×C4—91no—
453C2×C3×C4—184no—
454C2×C3×C4—181no—
455C2×C3×C4—181no—
456C2×C3×C4—181no—
457C2×C3×C4C2×D3211yescharacteristic
458C2×C3×C4C2×D3211yescharacteristic
459C2×C3×C4C2×D3211yescharacteristic
460#67—362no—
461#67—362no—
462C2×Dic3—31no—
463C2×Dic3—31no—
464C2×Dic3—61no—
465C2×Dic3—61no—
466C2×Dic3—61no—
467C2×Dic3—121no—
468D12—32no—
469D12—32no—
470D12—62no—
471D12—68no—
472D12—64no—
473D12—64no—
474D12—62no—
475D12—62no—
476D12—61no—
477D12—61no—
478D12—61no—
479D12—61no—
480D12—61no—
481D12—61no—
482D12—121no—
483D12—362no—
484C4×D3—68no—
485C4×D3—64no—
486C4×D3—64no—
487C4×D3—62no—
488C4×D3—62no—
489C4×D3—61no—
490C4×D3—61no—
491C4×D3—61no—
492C4×D3—61no—
493C3×C8—181no—
494C3×C8—181no—
495C3⋊C8—62no—
496C3⋊C8—61no—
497C3⋊C8—61no—
498C3⋊C8—61no—
499C3⋊C8—61no—
500C3⋊C8—121no—
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—21no—
510C2×C32—41no—
511C2×C32—41no—
512C2×C32—41no—
513C2×C32#88211yescharacteristic
514C2×C32#91411yescharacteristic
515C2×C32#91411yescharacteristic
516C2×C32#91611yescharacteristic
517C2×C32#91911yescharacteristic
518C2×C32#93711yescharacteristic
519C2×C32#94911yescharacteristic
520C2×C32#95011yescharacteristic
521C2×C32#95311yescharacteristic
522C3⋊D3—41no—
523C3⋊D3—42no—
524C3⋊D3—81no—
525C3×D3—122no—
526C3×D3—124no—
527C3×D3—121no—
528C3×D3—122no—
529C3×D3—121no—
530C3×D3—122no—
531C3×D3—242no—
532C3×D3—241no—
533C3×D3—241no—
534#41—182no—
535#41—182no—
536C2×Q8#111311yescharacteristic
537C2×D4—91no—
538C2×D4—91no—
539C2×D4—181no—
540C2×D4—541no—
541C22×C4—91no—
542C22×C4—181no—
543SD16—182no—
544D8—542no—
545C2×C8—91no—
546C2×C8—91no—
547C4⋊C4—91no—
548C22⋊C4—541no—
549C22×C3—21no—
550C22×C3—21no—
551C22×C3—21no—
552C22×C3—41no—
553C22×C3—181no—
554C22×C3—181no—
555C22×C3—182no—
556C22×C3—181no—
557C22×C3—361no—
558C22×C3—361no—
559C22×C3—361no—
560C22×C3—361no—
561C22×C3—361no—
562C22×C3D3×#6711yescharacteristic
563C22×C3D3×#6711yescharacteristic
564C22×C3#381111yescharacteristic
565C2×D3—64no—
566C2×D3—62no—
567C2×D3—61no—
568C2×D3—61no—
569C2×D3—61no—
570C2×D3—61no—
571C2×D3—62no—
572C2×D3—61no—
573C2×D3—62no—
574C2×D3—61no—
575C2×D3—121no—
576C2×D3—121no—
577C2×D3—122no—
578C2×D3—122no—
579C2×D3—121no—
580C2×D3—121no—
581C2×D3—121no—
582C2×D3—121no—
583C2×D3—122no—
584C2×D3—121no—
585C2×D3—121no—
586C2×D3—121no—
587C2×D3—121no—
588C2×D3—121no—
589C2×D3—121no—
590C2×D3—241no—
591C2×D3—241no—
592C3×C4—24no—
593C3×C4—22no—
594C3×C4—22no—
595C3×C4—22no—
596C3×C4—21no—
597C3×C4—21no—
598C3×C4—21no—
599C3×C4—21no—
600C3×C4—21no—
601C3×C4—21no—
602C3×C4—42no—
603C3×C4—42no—
604C3×C4—44no—
605C3×C4—41no—
606C3×C4—41no—
607C3×C4—181no—
608C3×C4—361no—
609C3×C4C2×#62511yescharacteristic
610C3×C4C2×#62611yescharacteristic
611C3×C4C2×#62611yescharacteristic
612C3×C4D3×#6711yescharacteristic
613C3×C4D3×#6711yescharacteristic
614C3×C4#381111yescharacteristic
615Dic3—62no—
616Dic3—61no—
617Dic3—61no—
618Dic3—121no—
619Dic3—121no—
620Dic3—241no—
621C32—21no—
622C32—21no—
623C32—21no—
624C32—41no—
625C32#481011yescharacteristic, complemented
626C32#517211yescharacteristic, complemented
627C32#523811yescharacteristic, complemented
628C23—91no—
629C23—181no—
630C23—181no—
631Q8—21no—
632Q8#629512yescomplemented
633D4—92no—
634D4—184no—
635D4—181no—
636D4—181no—
637D4—181no—
638D4—1082no—
639C2×C4—21no—
640C2×C4—91no—
641C2×C4—184no—
642C2×C4—181no—
643C2×C4—181no—
644C2×C4—181no—
645C2×C4C2×#111311yescharacteristic
646C8—181no—
647C8—181no—
648C2×C3—21no—
649C2×C3—21no—
650C2×C3—21no—
651C2×C3—21no—
652C2×C3—21no—
653C2×C3—21no—
654C2×C3—21no—
655C2×C3—21no—
656C2×C3—21no—
657C2×C3—41no—
658C2×C3—41no—
659C2×C3—41no—
660C2×C3—361no—
661C2×C3—362no—
662C2×C3—721no—
663C2×C3#6393911yescharacteristic
664C2×C3#6393911yescharacteristic
665C2×C3#6394111yescharacteristic
666C2×C3#6394711yescharacteristic
667C2×C3#6394911yescharacteristic
668C2×C3#6395011yescharacteristic
669C2×C3#6397611yescharacteristic
670C2×C3#6397711yescharacteristic
671C2×C3#6398111yescharacteristic
672D3—122no—
673D3—124no—
674D3—121no—
675D3—122no—
676D3—121no—
677D3—122no—
678D3—242no—
679D3—241no—
680D3—241no—
681C22—181no—
682C22—181no—
683C22—182no—
684C22—181no—
685C22—361no—
686C22—361no—
687C22—361no—
688C22—361no—
689C22—361no—
690C22#8904911yescharacteristic
691C4—22no—
692C4—181no—
693C4—361no—
694C4C2×#629511yescharacteristic
695C4#8904911yescharacteristic
696C3—21no—
697C3—21no—
698C3—21no—
699C3—41no—
700C3#1059158611yescharacteristic, complemented
701C3#1059158811yescharacteristic, complemented
702C3#1059159311yescharacteristic, complemented
703C2—361no—
704C2—362no—
705C2—721no—
706C2#1172370911yescharacteristic
707C2#1172371311yescharacteristic
708C2#1172372711yescharacteristic
subgroupG/H
centerC22#89049
commutator, cosocleC2×C33×C4C23
FrattiniC2×C4C2×#1113
FittingC2×C33×Q8C22
socleC22×C33C2×D4
hypercenterC2×Q8#1113
hypocenterC33#449
LCSG ▷ C2×C33×C4 ▷ C2×C33 ▷ C33
UCSC1 ◁ C22 ◁ C2×C4 ◁ C2×Q8

Complements

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

NH ≅ G/Ntype
1. C2×C3×#3832C2semidirect
2. C2×C3×#3755C2semidirect
3. #11723696C2semidirect
4. C2×#88810C2semidirect
5. C3×#63662C2semidirect
6. #11722075C2semidirect
7. #11722072C2semidirect
26. C2×#3832D3semidirect
30. C2×#3755D3semidirect
40. #63662D3semidirect
54. C33×Q8D4semidirect
63. C3×C4⋊(C3⋊D3)D4semidirect
195. C32×Q8D12semidirect
196. C32×Q8#67semidirect
197. C32×Q8#67semidirect
218. C4⋊(C3⋊D3)#67semidirect
409. C33#449semidirect
433. C3×Q8#625semidirect
434. C3×Q8#626semidirect
435. C3×Q8#626semidirect
625. C32#4810semidirect
626. C32#5172semidirect
627. C32#5238semidirect
632. Q8#6295semidirect
700. C3#10591586semidirect
701. C3#10591588semidirect
702. C3#10591593semidirect

Maximal subgroups

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

subgroupindex
C2×C3×#38322
C2×C3×#37552
#117236962
C2×#888102
C3×#636622
#117220752
#117220722
#105915933
#105915883
#105915863