Finite Group Databasebeta

← C3×#10591461 #13158471

Subgroups — C3×#10591461 #13158471

Order 1728.

944 conjugacy classes of subgroups.

The subgroup lattice has 690 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C32×#237C211yesmaximal, characteristic
2C2×C32×#214C211yesmaximal, characteristic, complemented
3C3×#63856C211yesmaximal, characteristic, complemented
4C2×C3×#3718C211yesmaximal, characteristic, complemented
5C3×#63659C211yesmaximal, characteristic, complemented
6C3×#63566C211yesmaximal, characteristic, complemented
7C3×(C2×D3)⋊(C3⋊C8)C211yesmaximal, characteristic, complemented
8C3×#5239—31nomaximal
9C3×#5173—31nomaximal
10#10591461C311yesmaximal, characteristic, direct product factor
11C2×C33×D4C2211yescharacteristic
12C2×C32×#67—21no—
13C22×C32×Dic3—21no—
14C32×#237—22no—
15C32×#237—22no—
16C2×C32×C4×D3C2211yescharacteristic
17C2×C32×Dic6C2211yescharacteristic
18C2×C32×Dic6C2211yescharacteristic
19C3×C4⋊(C3⋊Dic3)C2211yescharacteristic
20C2×C3×C3⋊(C3⋊C8)C2211yescharacteristic
21C32×#214—22no—
22C2×C32×C3⋊C8C2211yescharacteristic
23C3×#3724—21no—
24C3×(C2×D3)⋊Dic3—21no—
25C3×#3718—22no—
26C2×C32×#41—31no—
27C2×C3×#237—21no—
28C2×C3×#237D311yescharacteristic
29C2×C3×#237C2×C311yescharacteristic
30C2×C32×SD16—31no—
31C3×#946—31no—
32C2×C3×#216—31no—
33C2×C3×#216—31no—
34C2×C3×#214—21no—
35C2×C3×#214D311yescharacteristic, complemented
36C2×C3×#214C2×C311yescharacteristic, complemented
37C3×#924—31no—
38#63856C2×C311yescharacteristic, complemented
39C2×#3718C2×C311yescharacteristic, complemented
40#63659C2×C311yescharacteristic, complemented
41C3×#835—31no—
42C3×#832—31no—
43C3×#832—31no—
44C3×#832—61no—
45C3×#830—31no—
46C3×(C2×D3)⋊C8—31no—
47C3×#816—31no—
48#63566C2×C311yescharacteristic, complemented
49(C2×D3)⋊(C3⋊C8)C2×C311yescharacteristic, complemented
50C23×C33—21no—
51C22×C32×D3D411yescharacteristic
52C33×D4—21no—
53C33×D4D412yes—
54C2×C33×C4C2311yescharacteristic
55C2×C3×C3⋊Dic3—21no—
56C32×#67—24no—
57C2×C32×Dic3—24no—
58C2×C32×Dic3—21no—
59C2×C32×Dic3—21no—
60C2×C32×Dic3D411yescharacteristic
61C32×C4×D3—21no—
62C32×C4×D3—21no—
63C32×Dic6—21no—
64C32×Dic6—21no—
65C32×Dic6—21no—
66C32×Dic6D412yes—
67C3×C3⋊(C3⋊C8)—21no—
68C32×C3⋊C8—21no—
69C3×#452—91no—
70#5239—31no—
71#5173—31no—
72C32×#41—62no—
73C32×#41—62no—
74C2×C32×Q8—31no—
75C2×C32×Q8—31no—
76C2×C32×D4—21no—
77C2×C32×D4—21no—
78C2×C32×D4—21no—
79C2×C32×D4—41no—
80C2×C32×D4—61no—
81C2×C32×D4C2×D311yescharacteristic
82C2×C32×D4C2×D311yescharacteristic
83C2×C32×D4C22×C311yescharacteristic
84C22×C32×C4—31no—
85C22×C32×C4—61no—
86C2×C3×#67—22no—
87C2×C3×#67—21no—
88C2×C3×#67—21no—
89C22×C3×Dic3—22no—
90C22×C3×Dic3—21no—
91C22×C3×Dic3—21no—
92C3×#237—24no—
93C3×#237—24no—
94C3×#237—22no—
95C3×#237—22no—
96C3×#237—22no—
97C3×#237—22no—
98C2×C3×C4×D3—21no—
99C2×C3×C4×D3C2×D311yescharacteristic
100C2×C3×C4×D3C22×C311yescharacteristic
101C2×C3×Dic6—21no—
102C2×C3×Dic6—21no—
103C2×C3×Dic6C2×D311yescharacteristic
104C2×C3×Dic6C2×D311yescharacteristic
105C2×C3×Dic6C22×C311yescharacteristic
106C2×C3×Dic6C22×C311yescharacteristic
107C32×SD16—62no—
108C2×C32×C8—31no—
109C4⋊(C3⋊Dic3)C22×C311yescharacteristic
110C2×C3⋊(C3⋊C8)C22×C311yescharacteristic
111C3×#217—61no—
112C3×#216—62no—
113C3×#216—62no—
114C3×#214—24no—
115C3×#214—22no—
116C3×#214—22no—
117C3×(C2×D3)⋊C4—61no—
118C3×C4⋊Dic3—31no—
119C3×C4⋊Dic3—31no—
120C3×C4⋊Dic3—61no—
121C3×Dic3⋊C4—61no—
122C3×Dic3⋊C4—61no—
123C2×C3×C3⋊C8—21no—
124C2×C3×C3⋊C8—31no—
125C2×C3×C3⋊C8—31no—
126C2×C3×C3⋊C8—61no—
127C2×C3×C3⋊C8C2×D311yescharacteristic
128C2×C3×C3⋊C8C22×C311yescharacteristic
129#3724—21no—
130(C2×D3)⋊Dic3—21no—
131#3718—22no—
132C22×C33—22no—
133C22×C33—41no—
134C22×C33—41no—
135C22×C33C2×D411yescharacteristic
136C2×C32×D3—21no—
137C2×C32×D3—21no—
138C2×C32×D3—21no—
139C33×C4C2×D411yescharacteristic
140C33×C4C2×D411yescharacteristic
141C3×C3⋊Dic3—41no—
142C32×Dic3—22no—
143C32×Dic3—21no—
144C32×Dic3—41no—
145C2×C3×#41—31no—
146C2×C3×#41—31no—
147C2×C3×#41—61no—
148C2×#237C3×D311yescharacteristic
149C2×C3×Q16—91no—
150C2×C3×SD16—31no—
151C2×C3×SD16—31no—
152C2×C3×SD16—61no—
153C3×C22⋊Q8—91no—
154#946—31no—
155C2×#216—31no—
156C2×#216—31no—
157C2×#214C3×D311yescharacteristic, complemented
158#924—31no—
159C3×#103—91no—
160C3×#102—91no—
161C3×C22⋊C8—91no—
162#835—31no—
163#832—31no—
164#832—31no—
165#832—61no—
166#830—31no—
167(C2×D3)⋊C8—31no—
168#816—31no—
169C23×C32—21no—
170C23×C32—22no—
171C23×C32—21no—
172C23×C32—21no—
173C23×C32—31no—
174C23×C32—41no—
175C23×C32—41no—
176C23×C32—42no—
177C22×C3×D3—21no—
178C22×C3×D3#6711yescharacteristic
179C22×C3×D3C3×D411yescharacteristic
180C32×Q8—32no—
181C32×Q8—61no—
182C32×Q8—61no—
183C32×Q8—61no—
184C32×D4—21no—
185C32×D4—22no—
186C32×D4—21no—
187C32×D4—21no—
188C32×D4—22no—
189C32×D4—22no—
190C32×D4—22no—
191C32×D4—42no—
192C32×D4—41no—
193C32×D4—41no—
194C32×D4—42no—
195C32×D4—64no—
196C32×D4#6712yes—
197C32×D4#6712yes—
198C32×D4C3×D412yes—
199C2×C32×C4—21no—
200C2×C32×C4—21no—
201C2×C32×C4—21no—
202C2×C32×C4—31no—
203C2×C32×C4—41no—
204C2×C32×C4—64no—
205C2×C32×C4—61no—
206C2×C32×C4—61no—
207C2×C32×C4—61no—
208C2×C32×C4—61no—
209C2×C32×C4C22×D311yescharacteristic
210C2×C32×C4C22×D311yescharacteristic
211C2×C32×C4C23×C311yescharacteristic
212C2×C3⋊Dic3—21no—
213C3×#67—28no—
214C3×#67—24no—
215C3×#67—24no—
216C2×C3×Dic3—22no—
217C2×C3×Dic3—28no—
218C2×C3×Dic3—24no—
219C2×C3×Dic3—24no—
220C2×C3×Dic3—21no—
221C2×C3×Dic3—21no—
222C2×C3×Dic3—21no—
223C2×C3×Dic3—21no—
224C2×C3×Dic3—21no—
225C2×C3×Dic3—41no—
226C2×C3×Dic3—61no—
227C2×C3×Dic3—61no—
228C2×C3×Dic3—121no—
229C2×C3×Dic3#6711yescharacteristic
230C2×C3×Dic3C3×D411yescharacteristic
231C3×C4×D3—22no—
232C3×C4×D3—22no—
233C3×C4×D3—21no—
234C3×C4×D3—21no—
235C3×C4×D3—21no—
236C3×C4×D3—21no—
237C3×Dic6—22no—
238C3×Dic6—21no—
239C3×Dic6—21no—
240C3×Dic6—22no—
241C3×Dic6—21no—
242C3×Dic6—21no—
243C3×Dic6—21no—
244C3×Dic6—21no—
245C3×Dic6—22no—
246C3×Dic6—41no—
247C3×Dic6#6712yes—
248C3×Dic6C3×D412yes—
249C32×C8—61no—
250C3⋊(C3⋊C8)—21no—
251C3×C3⋊C8—22no—
252C3×C3⋊C8—21no—
253C3×C3⋊C8—21no—
254C3×C3⋊C8—61no—
255C3×C3⋊C8—61no—
256C3×C3⋊C8—121no—
257#452—91noSylow
258C2×C33—42no—
259C2×C33#12011yescharacteristic
260C2×C33#13511yescharacteristic
261C2×C33#13711yescharacteristic
262C32×D3—41no—
263C3×#41—62no—
264C3×#41—62no—
265C3×#41—64no—
266C3×#41—64no—
267C3×#41—62no—
268C3×#41—62no—
269C2×C3×Q8—31no—
270C2×C3×Q8—31no—
271C2×C3×Q8—31no—
272C2×C3×Q8—31no—
273C2×C3×Q8—61no—
274C2×C3×Q8—61no—
275C2×C3×D4—21no—
276C2×C3×D4—21no—
277C2×C3×D4—21no—
278C2×C3×D4—41no—
279C2×C3×D4—61no—
280C2×C3×D4—61no—
281C2×C3×D4—62no—
282C2×C3×D4D3211yescharacteristic
283C2×C3×D4C2×C3×D311yescharacteristic
284C2×C3×D4C2×C3×D311yescharacteristic
285C22×C3×C4—31no—
286C22×C3×C4—31no—
287C22×C3×C4—61no—
288C22×C3×C4—61no—
289C22×C3×C4—61no—
290C22×C3×C4—62no—
291C2×#67—21no—
292C22×Dic3—21no—
293#237—22no—
294#237—22no—
295C2×C4×D3C2×C3×D311yescharacteristic
296C2×Dic6C2×C3×D311yescharacteristic
297C2×Dic6C2×C3×D311yescharacteristic
298C3×Q16—182no—
299C3×SD16—64no—
300C3×SD16—62no—
301C3×SD16—62no—
302C2×C3×C8—31no—
303C2×C3×C8—31no—
304C2×C3×C8—61no—
305C2×C3×C8—91no—
306C3×C4⋊C4—91no—
307C3×C4⋊C4—181no—
308C3×C22⋊C4—181no—
309#217—61no—
310#216—62no—
311#216—62no—
312#214—22no—
313(C2×D3)⋊C4—61no—
314C4⋊Dic3—31no—
315C4⋊Dic3—31no—
316C4⋊Dic3—61no—
317Dic3⋊C4—61no—
318Dic3⋊C4—61no—
319C2×C3⋊C8—31no—
320C2×C3⋊C8—31no—
321C2×C3⋊C8—61no—
322C2×C3⋊C8C2×C3×D311yescharacteristic
323C22×C32—22no—
324C22×C32—24no—
325C22×C32—22no—
326C22×C32—22no—
327C22×C32—21no—
328C22×C32—21no—
329C22×C32—21no—
330C22×C32—41no—
331C22×C32—42no—
332C22×C32—42no—
333C22×C32—44no—
334C22×C32—41no—
335C22×C32—41no—
336C22×C32—42no—
337C22×C32—42no—
338C22×C32—41no—
339C22×C32—41no—
340C22×C32—41no—
341C22×C32—41no—
342C22×C32—61no—
343C22×C32—61no—
344C22×C32—61no—
345C22×C32—81no—
346C22×C32—81no—
347C22×C32—81no—
348C22×C32—81no—
349C22×C32—82no—
350C22×C32—82no—
351C22×C32D3×D411yescharacteristic
352C22×C32C2×#6711yescharacteristic
353C22×C32C2×C3×D411yescharacteristic
354C2×C3×D3—22no—
355C2×C3×D3—21no—
356C2×C3×D3—21no—
357C2×C3×D3—21no—
358C2×C3×D3—21no—
359C2×C3×D3—21no—
360C2×C3×D3—21no—
361C2×C3×D3—41no—
362C2×C3×D3—41no—
363C32×C4—21no—
364C32×C4—21no—
365C32×C4—21no—
366C32×C4—21no—
367C32×C4—21no—
368C32×C4—21no—
369C32×C4—41no—
370C32×C4—41no—
371C32×C4—61no—
372C32×C4—62no—
373C32×C4—121no—
374C32×C4D3×D411yescharacteristic
375C32×C4C2×#6711yescharacteristic
376C32×C4C2×#6711yescharacteristic
377C32×C4C2×#6711yescharacteristic
378C32×C4C2×C3×D411yescharacteristic
379C32×C4C2×C3×D411yescharacteristic
380C3⋊Dic3—41no—
381C3×Dic3—24no—
382C3×Dic3—22no—
383C3×Dic3—22no—
384C3×Dic3—21no—
385C3×Dic3—22no—
386C3×Dic3—21no—
387C3×Dic3—42no—
388C3×Dic3—41no—
389C3×Dic3—41no—
390C3×Dic3—121no—
391C3×Dic3—121no—
392C3×Dic3—241no—
393C2×#41—31no—
394C2×Q16—91no—
395C2×SD16—31no—
396C22⋊Q8—91no—
397#103—91no—
398#102—91no—
399C22⋊C8—91no—
400C33#45211yescharacteristic, complemented, Sylow
401C23×C3—22no—
402C23×C3—21no—
403C23×C3—21no—
404C23×C3—21no—
405C23×C3—31no—
406C23×C3—31no—
407C23×C3—41no—
408C23×C3—41no—
409C23×C3—42no—
410C23×C3—61no—
411C22×D3C3×#6711yescharacteristic
412C3×Q8—32no—
413C3×Q8—32no—
414C3×Q8—62no—
415C3×Q8—62no—
416C3×Q8—62no—
417C3×Q8—61no—
418C3×Q8—61no—
419C3×Q8—61no—
420C3×Q8—61no—
421C3×Q8—61no—
422C3×Q8—61no—
423C3×Q8—121no—
424C3×D4—22no—
425C3×D4—21no—
426C3×D4—21no—
427C3×D4—21no—
428C3×D4—22no—
429C3×D4—22no—
430C3×D4—22no—
431C3×D4—41no—
432C3×D4—41no—
433C3×D4—42no—
434C3×D4—42no—
435C3×D4—68no—
436C3×D4—64no—
437C3×D4—64no—
438C3×D4#62512yes—
439C3×D4C3×#6712yes—
440C3×D4C3×#6712yes—
441C2×C3×C4—21no—
442C2×C3×C4—21no—
443C2×C3×C4—21no—
444C2×C3×C4—31no—
445C2×C3×C4—31no—
446C2×C3×C4—41no—
447C2×C3×C4—61no—
448C2×C3×C4—62no—
449C2×C3×C4—62no—
450C2×C3×C4—62no—
451C2×C3×C4—68no—
452C2×C3×C4—64no—
453C2×C3×C4—64no—
454C2×C3×C4—61no—
455C2×C3×C4—61no—
456C2×C3×C4—61no—
457C2×C3×C4—61no—
458C2×C3×C4—61no—
459C2×C3×C4—61no—
460C2×C3×C4—61no—
461C2×C3×C4—61no—
462C2×C3×C4—121no—
463C2×C3×C4—181no—
464C2×C3×C4C2×D3211yescharacteristic
465C2×C3×C4C22×C3×D311yescharacteristic
466C2×C3×C4C22×C3×D311yescharacteristic
467#67—24no—
468C2×Dic3—24no—
469C2×Dic3—21no—
470C2×Dic3—21no—
471C2×Dic3—61no—
472C2×Dic3—61no—
473C2×Dic3—121no—
474C2×Dic3C3×#6711yescharacteristic
475C4×D3—21no—
476C4×D3—21no—
477Dic6—21no—
478Dic6—21no—
479Dic6—21no—
480Dic6C3×#6712yes—
481C3×C8—62no—
482C3×C8—61no—
483C3×C8—61no—
484C3×C8—181no—
485C3⋊C8—21no—
486C3⋊C8—61no—
487C3⋊C8—61no—
488C3⋊C8—121no—
489C2×C32—21no—
490C2×C32—21no—
491C2×C32—21no—
492C2×C32—21no—
493C2×C32—21no—
494C2×C32—21no—
495C2×C32—21no—
496C2×C32—21no—
497C2×C32—21no—
498C2×C32—41no—
499C2×C32—41no—
500C2×C32—41no—
501C2×C32—42no—
502C2×C32—44no—
503C2×C32—42no—
504C2×C32—42no—
505C2×C32—82no—
506C2×C32—82no—
507C2×C32—84no—
508C2×C32—121no—
509C2×C32#91511yescharacteristic
510C2×C32#91611yescharacteristic
511C2×C32#93711yescharacteristic
512C2×C32#95011yescharacteristic
513C2×C32#95111yescharacteristic
514C2×C32#95311yescharacteristic
515C2×C32C3×#12011yescharacteristic
516C2×C32C3×#13511yescharacteristic
517C2×C32C3×#13711yescharacteristic
518C3×D3—42no—
519C3×D3—41no—
520C3×D3—41no—
521#41—62no—
522#41—62no—
523C2×Q8—31no—
524C2×Q8—31no—
525C2×D4—61no—
526C2×D4C3×D3211yescharacteristic
527C22×C4—31no—
528C22×C4—61no—
529Q16—182no—
530SD16—62no—
531C2×C8—31no—
532C2×C8—91no—
533C4⋊C4—91no—
534C4⋊C4—181no—
535C22⋊C4—181no—
536C22×C3—24no—
537C22×C3—22no—
538C22×C3—22no—
539C22×C3—22no—
540C22×C3—21no—
541C22×C3—21no—
542C22×C3—21no—
543C22×C3—42no—
544C22×C3—42no—
545C22×C3—44no—
546C22×C3—42no—
547C22×C3—42no—
548C22×C3—41no—
549C22×C3—41no—
550C22×C3—41no—
551C22×C3—41no—
552C22×C3—41no—
553C22×C3—41no—
554C22×C3—41no—
555C22×C3—62no—
556C22×C3—61no—
557C22×C3—61no—
558C22×C3—61no—
559C22×C3—61no—
560C22×C3—61no—
561C22×C3—61no—
562C22×C3—81no—
563C22×C3—81no—
564C22×C3—81no—
565C22×C3—81no—
566C22×C3—82no—
567C22×C3—82no—
568C22×C3—121no—
569C22×C3—121no—
570C22×C3D3×#6711yescharacteristic
571C22×C3C3×D3×D411yescharacteristic
572C22×C3C2×C3×#6711yescharacteristic
573C2×D3—21no—
574C2×D3—21no—
575C2×D3—21no—
576C3×C4—21no—
577C3×C4—21no—
578C3×C4—21no—
579C3×C4—21no—
580C3×C4—21no—
581C3×C4—21no—
582C3×C4—41no—
583C3×C4—41no—
584C3×C4—62no—
585C3×C4—64no—
586C3×C4—61no—
587C3×C4—62no—
588C3×C4—61no—
589C3×C4—62no—
590C3×C4—122no—
591C3×C4—121no—
592C3×C4—121no—
593C3×C4—361no—
594C3×C4C2×#62511yescharacteristic
595C3×C4D3×#6711yescharacteristic
596C3×C4C3×D3×D411yescharacteristic
597C3×C4C2×C3×#6711yescharacteristic
598C3×C4C2×C3×#6711yescharacteristic
599C3×C4C2×C3×#6711yescharacteristic
600Dic3—22no—
601Dic3—21no—
602Dic3—41no—
603Dic3—121no—
604Dic3—121no—
605Dic3—241no—
606C32—21no—
607C32—21no—
608C32—21no—
609C32—41no—
610C32#517311yescharacteristic, complemented
611C32#523911yescharacteristic, complemented
612C32C3×#45211yescharacteristic, complemented
613C23—21no—
614C23—31no—
615Q8—32no—
616Q8—61no—
617Q8—61no—
618Q8—61no—
619D4—21no—
620D4—64no—
621D4C3×#62512yes—
622C2×C4—31no—
623C2×C4—64no—
624C2×C4—61no—
625C2×C4—61no—
626C2×C4—61no—
627C2×C4—61no—
628C2×C4—181no—
629C2×C4C2×C3×D3211yescharacteristic
630C8—61no—
631C8—181no—
632C2×C3—21no—
633C2×C3—21no—
634C2×C3—21no—
635C2×C3—21no—
636C2×C3—21no—
637C2×C3—21no—
638C2×C3—21no—
639C2×C3—21no—
640C2×C3—21no—
641C2×C3—44no—
642C2×C3—42no—
643C2×C3—42no—
644C2×C3—42no—
645C2×C3—41no—
646C2×C3—41no—
647C2×C3—41no—
648C2×C3—82no—
649C2×C3—82no—
650C2×C3—84no—
651C2×C3—122no—
652C2×C3—121no—
653C2×C3—121no—
654C2×C3#6392911yescharacteristic
655C2×C3#6393511yescharacteristic
656C2×C3#6397611yescharacteristic
657C2×C3C3×#91511yescharacteristic
658C2×C3C3×#91611yescharacteristic
659C2×C3C3×#93711yescharacteristic
660C2×C3C3×#95011yescharacteristic
661C2×C3C3×#95111yescharacteristic
662C2×C3C3×#95311yescharacteristic
663D3—41no—
664C22—22no—
665C22—41no—
666C22—41no—
667C22—61no—
668C22—61no—
669C22—61no—
670C22C3×D3×#6711yescharacteristic
671C4—61no—
672C4—62no—
673C4—121no—
674C4—361no—
675C4C2×C3×#62511yescharacteristic
676C4C3×D3×#6711yescharacteristic
677C3—21no—
678C3—21no—
679C3—21no—
680C3—41no—
681C3#1059146111yescharacteristic, direct product factor
682C3C3×#517311yescharacteristic, complemented
683C3C3×#523911yescharacteristic, complemented
684C2—42no—
685C2—121no—
686C2C3×#6392911yescharacteristic
687C2C3×#6393511yescharacteristic
688C2C3×#6397611yescharacteristic
subgroupG/H
centerC22×C3D3×#67
commutator, cosocleC2×C32×C4C23×C3
FrattiniC2×C4C2×C3×D32
FittingC2×C33×D4C22
socleC22×C33C2×D4
prime radicalC2×C32×#237C2
hypercenterC2×C3×D4D32
hypocenterC32C3×#452
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
2. C2×C32×#214C2semidirect
3. C3×#63856C2semidirect
4. C2×C3×#3718C2semidirect
5. C3×#63659C2semidirect
6. C3×#63566C2semidirect
7. C3×(C2×D3)⋊(C3⋊C8)C2semidirect
10. #10591461C3direct (N × H)
35. C2×C3×#214D3semidirect
36. C2×C3×#214C2×C3semidirect
38. #63856C2×C3semidirect
39. C2×#3718C2×C3semidirect
40. #63659C2×C3semidirect
48. #63566C2×C3semidirect
49. (C2×D3)⋊(C3⋊C8)C2×C3semidirect
157. C2×#214C3×D3semidirect
400. C33#452semidirect
610. C32#5173semidirect
611. C32#5239semidirect
612. C32C3×#452semidirect
681. C3#10591461direct (N × H)
682. C3C3×#5173semidirect
683. C3C3×#5239semidirect

Maximal subgroups

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

subgroupindex
C2×C32×#2372
C2×C32×#2142
C3×#638562
C2×C3×#37182
C3×#636592
C3×#635662
C3×(C2×D3)⋊(C3⋊C8)2
C3×#52393
C3×#51733
#105914613