Finite Group Databasebeta

← #11864611

Subgroups — #11864611

Order 1152.

1609 conjugacy classes of subgroups.

The subgroup lattice has 768 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C3×#1009C211yesmaximal, characteristic, complemented
2C2×C3×#950C211yesmaximal, characteristic, complemented
3#10595044C211yesmaximal, characteristic, complemented
4C2×#63823C211yesmaximal, characteristic, complemented
5#10592931C211yesmaximal, characteristic, complemented
6#10591597C212yesmaximal, complemented
7#10591586C212yesmaximal, complemented
8#10591458C212yesmaximal, complemented
9#10591447C212yesmaximal, complemented
10C2×#63563C211yesmaximal, characteristic, complemented
11#10591070C211yesmaximal, characteristic, complemented
12#84102—31nomaximal
13#83912—31nomaximal
14C2×C32×#41C2211yescharacteristic
15C3×#1009—24no—
16C3×#1009—24no—
17C2×C3×#239C2212yes—
18C2×C3×D3×D4—22no—
19C2×C3×D3×D4C2212yes—
20C2×C3×#235—21no—
21C2×C3×#235C2211yescharacteristic
22C2×C3×#235C2211yescharacteristic, complemented
23C22×C3×D12—21no—
24C22×C3×D12C2211yescharacteristic
25C2×C4⋊(C3⋊Dic3)C2211yescharacteristic, complemented
26C2×#3748C2211yescharacteristic, complemented
27C3×#950—24no—
28C2×C3×#216C2211yescharacteristic, complemented
29C2×C3×#215C2211yescharacteristic, complemented
30C2×C3×#214C2211yescharacteristic, complemented
31C2×C3×#213C2211yescharacteristic, complemented
32C22×C3×C3⋊C8C2211yescharacteristic, complemented
33#63980—22no—
34#63908—21no—
35#63908C2212yescomplemented
36#63856—21no—
37#63856C2212yescomplemented
38C2×#3715C2212yescomplemented
39#63823—24no—
40C2×#3713C2212yescomplemented
41#63662C2212yescomplemented
42#63659C2212yescomplemented
43#63563C2212yescomplemented
44#63563C2212yescomplemented
45(C2×D3)⋊(C3⋊C8)C2212yescomplemented
46(C2×D3)⋊(C3⋊C8)C2212yescomplemented
47C2×C3×H(5,𝔽2)—31no—
48C2×#1009D311yescharacteristic, complemented
49C2×C3×#135—31no—
50#5833—31no—
51#5833—31no—
52C2×#950D311yescharacteristic, complemented
53C2×#949—31no—
54C2×#932—31no—
55#5239—32no—
56#5238—32no—
57#5234—31no—
58#5232—31no—
59#5232—31no—
60#5232—61no—
61#5218—32no—
62#5217—32no—
63C2×#832—31no—
64#5187—32no—
65#5172—32no—
66#5169—32no—
67#5156—32no—
68C2×#821—31no—
69#5110—31no—
70C23×C3×D3—21no—
71C23×C3×D3—22no—
72C32×#41—22no—
73C32×#41D414yescomplemented
74C2×C32×Q8C2311yescharacteristic
75C2×C32×D4—21no—
76C2×C32×D4C2311yescharacteristic
77C22×C32×C4—21no—
78C22×C32×C4C2311yescharacteristic
79C22×C3⋊Dic3—21no—
80C2×C3×#67—21no—
81C2×C3×#67—22no—
82C2×C3×#67D412yes—
83C3×#239—24no—
84C3×#239—24no—
85C3×D3×D4—216no—
86C3×D3×D4—24no—
87C3×D3×D4—24no—
88C3×#235—28no—
89C3×#235—22no—
90C3×#235—22no—
91C3×#235—22no—
92C3×#235—22no—
93C2×C3×D12—28no—
94C2×C3×D12—22no—
95C2×C3×D12—21no—
96C2×C3×D12—22no—
97C2×C3×D12D411yescharacteristic
98C2×C3×D12D414yescomplemented
99C2×C3×D12C2311yescharacteristic
100C2×C3×D12C2312yes—
101C2×C3×C4×D3—22no—
102C2×C3×C4×D3—21no—
103C2×C3×C4×D3C2312yes—
104C2×C3×Dic6D411yescharacteristic
105C2×C3×Dic6C2311yescharacteristic
106C2×#625—22no—
107C4⋊(C3⋊Dic3)—21no—
108C4⋊(C3⋊Dic3)C2312yes—
109#3748—22no—
110C2×C3⋊(C3⋊C8)C2312yes—
111C3×#216—22no—
112C3×#215—22no—
113C3×#214—22no—
114C3×#213—22no—
115C2×C3×C3⋊C8—22no—
116C2×C3×C3⋊C8C2311yescharacteristic
117C2×C3×C3⋊C8C2311yescharacteristic
118#3724—22no—
119(C2×D3)⋊Dic3—22no—
120(C2×D3)⋊Dic3—22no—
121#3715—24no—
122#3713—24no—
123#3012—91noSylow
124C3×H(5,𝔽2)—64no—
125C3×H(5,𝔽2)—64no—
126C2×C3×#41—21no—
127C2×C3×#41—31no—
128C2×C3×#41—32no—
129C2×C3×#41—31no—
130C2×C3×#41—61no—
131C2×C3×#41C2×D311yescharacteristic
132C2×C3×#41C2×D311yescharacteristic
133C22×C3×D4—32no—
134C22×C3×D4—31no—
135C22×C3×D4—61no—
136C22×C3×D4—62no—
137#1009—24no—
138#1009—24no—
139C2×#239C2×D312yes—
140C2×D3×D4—22no—
141C2×D3×D4C2×D312yes—
142C2×#235—21no—
143C2×#235C2×D311yescharacteristic
144C2×#235C2×D311yescharacteristic, complemented
145C22×D12—21no—
146C22×D12C2×D311yescharacteristic
147C3×#135—64no—
148C2×C3×Q16—31no—
149C2×C3×SD16—31no—
150C2×C3×SD16—31no—
151C2×C3×D8—31no—
152C22×C3×C8—31no—
153#950—24no—
154#949—64no—
155#946—32no—
156#946—61no—
157C2×#216C2×D311yescharacteristic, complemented
158C2×#215—32no—
159C2×#215C2×D311yescharacteristic, complemented
160#939—62no—
161#939—62no—
162#938—32no—
163#938—61no—
164C2×#214—32no—
165C2×#214C2×D311yescharacteristic, complemented
166#932—64no—
167C2×#213—32no—
168C2×#213—32no—
169C2×#213C2×D311yescharacteristic, complemented
170#930—32no—
171#930—61no—
172C2×C4⋊Dic3—31no—
173C2×C4⋊Dic3—31no—
174C2×C4⋊Dic3—61no—
175#924—32no—
176#924—61no—
177C2×#208—31no—
178C2×#208—31no—
179C2×#208—61no—
180C22×C3⋊C8C2×D311yescharacteristic, complemented
181#835—32no—
182#835—32no—
183#835—62no—
184#832—32no—
185#832—32no—
186#832—32no—
187#832—32no—
188#832—62no—
189#830—32no—
190#830—32no—
191#821—32no—
192#821—32no—
193(C2×D3)⋊C8—32no—
194(C2×D3)⋊C8—32no—
195C23×C32—21no—
196C23×C32C2×D411yescharacteristic
197C22×C3×D3—22no—
198C22×C3×D3—28no—
199C22×C3×D3—24no—
200C22×C3×D3—21no—
201C22×C3×D3—82no—
202C22×C3×D3—82no—
203C22×C3×D3—81no—
204C22×C3×D3—81no—
205C22×C3×D3C2×D412yes—
206C32×Q8—21no—
207C32×Q8C2×D412yes—
208C32×D4—24no—
209C32×D4—21no—
210C32×D4C2×D412yes—
211C2×C32×C4—21no—
212C2×C32×C4—24no—
213C2×C32×C4C2×D411yescharacteristic
214C2×C32×C4C2×D412yes—
215C2×C32×C4C2×D412yes—
216C2×C32×C4C2411yescharacteristic
217C2×C3⋊Dic3—22no—
218C2×C3⋊Dic3—81no—
219C3×#67—28no—
220C3×#67—24no—
221C3×#67—42no—
222C2×C3×Dic3—21no—
223C2×C3×Dic3C2×D412yes—
224C3×D12—28no—
225C3×D12—22no—
226C3×D12—24no—
227C3×D12—22no—
228C3×D12—21no—
229C3×D12—21no—
230C3×D12C2×D414yes—
231C3×C4×D3—28no—
232C3×C4×D3—22no—
233C3×C4×D3—22no—
234C3×C4×D3—42no—
235C3×Dic6—22no—
236C3×Dic6—21no—
237C3×Dic6—21no—
238#625—82no—
239C3⋊(C3⋊C8)—22no—
240C3×C3⋊C8—21no—
241C3×C3⋊C8—21no—
242C2×H(5,𝔽2)—31no—
243C2×AGL(1,ℤ/8)—91no—
244C2×#135—31no—
245#537—91no—
246#452—92no—
247#450—92no—
248#449—92no—
249#447—92no—
250#417—91no—
251C2×#102—91no—
252#408—91no—
253C24×C3—62no—
254C24×C3—61no—
255C23×D3—21no—
256C23×D3—22no—
257C3×#41—22no—
258C3×#41—22no—
259C3×#41—24no—
260C3×#41—42no—
261C3×#41—68no—
262C3×#41—64no—
263C3×#41—64no—
264C3×#41—62no—
265C3×#41—62no—
266C3×#41—62no—
267C3×#41—62no—
268C3×#41#6714yescomplemented
269C3×#41#6714yescomplemented
270C2×C3×Q8—21no—
271C2×C3×Q8—31no—
272C2×C3×Q8—31no—
273C2×C3×Q8C22×D311yescharacteristic
274C2×C3×Q8C22×D311yescharacteristic
275C2×C3×D4—21no—
276C2×C3×D4—21no—
277C2×C3×D4—21no—
278C2×C3×D4—32no—
279C2×C3×D4—34no—
280C2×C3×D4—31no—
281C2×C3×D4—32no—
282C2×C3×D4—31no—
283C2×C3×D4—41no—
284C2×C3×D4—62no—
285C2×C3×D4—68no—
286C2×C3×D4—62no—
287C2×C3×D4—64no—
288C2×C3×D4—616no—
289C2×C3×D4—64no—
290C2×C3×D4—61no—
291C2×C3×D4—61no—
292C2×C3×D4—62no—
293C2×C3×D4C22×D311yescharacteristic
294C2×C3×D4C22×D311yescharacteristic
295C22×C3×C4—21no—
296C22×C3×C4—21no—
297C22×C3×C4—21no—
298C22×C3×C4—32no—
299C22×C3×C4—41no—
300C22×C3×C4—62no—
301C22×C3×C4—61no—
302C22×C3×C4C22×D311yescharacteristic
303C22×C3×C4C22×D311yescharacteristic
304C2×#67—21no—
305C2×#67—22no—
306C2×#67—62no—
307C2×#67—62no—
308C2×#67#6712yes—
309C22×Dic3—61no—
310C22×Dic3—61no—
311C22×Dic3—121no—
312#239—24no—
313#239—24no—
314D3×D4—216no—
315D3×D4—24no—
316D3×D4—24no—
317#235—28no—
318#235—22no—
319#235—22no—
320#235—22no—
321#235—22no—
322C2×D12—28no—
323C2×D12—22no—
324C2×D12—21no—
325C2×D12—22no—
326C2×D12#6711yescharacteristic
327C2×D12#6714yescomplemented
328C2×D12C22×D311yescharacteristic
329C2×D12C22×D312yes—
330C2×C4×D3—22no—
331C2×C4×D3—21no—
332C2×C4×D3C22×D312yes—
333C2×Dic6#6711yescharacteristic
334C2×Dic6C22×D311yescharacteristic
335C3×Q16—62no—
336C3×SD16—62no—
337C3×SD16—62no—
338C3×D8—62no—
339C2×C3×C8—31no—
340C2×C3×C8—31no—
341C2×C3×C8—62no—
342#217—62no—
343#217—62no—
344#216—22no—
345#215—22no—
346#215—64no—
347#214—22no—
348#214—64no—
349#213—22no—
350#213—64no—
351#213—64no—
352(C2×D3)⋊C4—62no—
353(C2×D3)⋊C4—62no—
354C4⋊Dic3—32no—
355C4⋊Dic3—32no—
356C4⋊Dic3—62no—
357C4⋊Dic3—61no—
358C4⋊Dic3—61no—
359C4⋊Dic3—121no—
360Dic3⋊C4—62no—
361Dic3⋊C4—62no—
362#208—62no—
363#208—62no—
364#208—122no—
365C2×C3⋊C8—22no—
366C2×C3⋊C8—32no—
367C2×C3⋊C8—32no—
368C2×C3⋊C8—62no—
369C2×C3⋊C8C22×D311yescharacteristic
370C2×C3⋊C8C22×D311yescharacteristic
371C22×C32—21no—
372C22×C32—21no—
373C22×C32—22no—
374C22×C32—41no—
375C22×C32—41no—
376C22×C32#12012yes—
377C22×C32C22×D411yescharacteristic
378C2×C3×D3—22no—
379C2×C3×D3—24no—
380C2×C3×D3—22no—
381C2×C3×D3—22no—
382C2×C3×D3—42no—
383C2×C3×D3—42no—
384C2×C3×D3—41no—
385C2×C3×D3—41no—
386C2×C3×D3—41no—
387C2×C3×D3—84no—
388C2×C3×D3—88no—
389C32×C4—22no—
390C32×C4#12012yes—
391C32×C4C22×D411yescharacteristic
392C32×C4C22×D411yescharacteristic
393C3⋊Dic3—42no—
394C3×Dic3—22no—
395C3×Dic3—41no—
396H(5,𝔽2)—64no—
397H(5,𝔽2)—64no—
398C2×#41—31no—
399C2×#41—32no—
400C2×#41—31no—
401C2×#41—61no—
402C2×#41D3211yescharacteristic
403C22×D4—32no—
404C22×D4—31no—
405C22×D4—61no—
406C22×D4—62no—
407AGL(1,ℤ/8)—184no—
408#135—64no—
409C2×Q16—31no—
410C2×SD16—31no—
411C2×SD16—31no—
412C2×SD16—92no—
413C2×D8—31no—
414C2×D8—92no—
415C2×M16—91no—
416C22×C8—31no—
417C22⋊Q8—92no—
418C22⋊Q8—181no—
419#121—92no—
420#121—181no—
421#121—182no—
422C2×C4⋊C4—91no—
423#103—92no—
424#102—92no—
425#102—92no—
426#102—92no—
427C22⋊C8—92no—
428C22⋊C8—92no—
429C23×C3—21no—
430C23×C3—21no—
431C23×C3—21no—
432C23×C3—32no—
433C23×C3—41no—
434C23×C3—68no—
435C23×C3—62no—
436C23×C3—64no—
437C23×C3—61no—
438C23×C3—241no—
439C23×C3—241no—
440C23×C3—242no—
441C23×C3—242no—
442C23×C3D3×D411yescharacteristic
443C23×C3C2×#6711yescharacteristic
444C22×D3—22no—
445C22×D3—28no—
446C22×D3—24no—
447C22×D3—21no—
448C22×D3—82no—
449C22×D3—82no—
450C22×D3—81no—
451C22×D3—81no—
452C22×D3C2×#6712yes—
453C3×Q8—21no—
454C3×Q8—21no—
455C3×Q8—22no—
456C3×Q8—41no—
457C3×Q8—62no—
458C3×Q8—61no—
459C3×Q8—61no—
460C3×Q8C2×#6712yes—
461C3×Q8C2×#6712yes—
462C3×D4—24no—
463C3×D4—24no—
464C3×D4—21no—
465C3×D4—21no—
466C3×D4—22no—
467C3×D4—34no—
468C3×D4—41no—
469C3×D4—44no—
470C3×D4—68no—
471C3×D4—68no—
472C3×D4—64no—
473C3×D4—64no—
474C3×D4—62no—
475C3×D4—62no—
476C3×D4—61no—
477C3×D4—61no—
478C3×D4—122no—
479C3×D4C2×#6712yes—
480C3×D4C2×#6712yes—
481C2×C3×C4—21no—
482C2×C3×C4—21no—
483C2×C3×C4—24no—
484C2×C3×C4—24no—
485C2×C3×C4—21no—
486C2×C3×C4—22no—
487C2×C3×C4—22no—
488C2×C3×C4—21no—
489C2×C3×C4—32no—
490C2×C3×C4—44no—
491C2×C3×C4—41no—
492C2×C3×C4—68no—
493C2×C3×C4—62no—
494C2×C3×C4—62no—
495C2×C3×C4—61no—
496C2×C3×C4—122no—
497C2×C3×C4D3×D411yescharacteristic
498C2×C3×C4D3×D412yes—
499C2×C3×C4C2×#6712yes—
500C2×C3×C4C2×#6712yes—
501C2×C3×C4C2×#6711yescharacteristic
502C2×C3×C4C2×#6712yes—
503C2×C3×C4C23×D311yescharacteristic
504C2×C3×C4C23×D311yescharacteristic
505#67—28no—
506#67—24no—
507#67—42no—
508#67—242no—
509#67—242no—
510C2×Dic3—21no—
511C2×Dic3—62no—
512C2×Dic3—62no—
513C2×Dic3—122no—
514C2×Dic3—241no—
515C2×Dic3—241no—
516C2×Dic3—242no—
517C2×Dic3C2×#6712yes—
518D12—28no—
519D12—22no—
520D12—24no—
521D12—21no—
522D12—22no—
523D12—21no—
524D12C2×#6714yes—
525C4×D3—28no—
526C4×D3—22no—
527C4×D3—22no—
528C4×D3—42no—
529Dic6—22no—
530Dic6—21no—
531Dic6—21no—
532C3×C8—61no—
533C3×C8—61no—
534C3⋊C8—21no—
535C3⋊C8—21no—
536C3⋊C8—62no—
537C3⋊C8—62no—
538C3⋊C8—122no—
539C2×C32—22no—
540C2×C32—42no—
541C2×C32C2×#12011yescharacteristic
542C2×C32#57611yescharacteristic
543C2×C32#57711yescharacteristic
544C3×D3—42no—
545C3×D3—44no—
546C3×D3—81no—
547C24—62no—
548C24—61no—
549#41—22no—
550#41—68no—
551#41—64no—
552#41—64no—
553#41—62no—
554#41—62no—
555#41—62no—
556#41—62no—
557#41#62514yescomplemented
558C2×Q8—31no—
559C2×Q8—31no—
560C2×Q8C2×D3211yescharacteristic
561C2×D4—21no—
562C2×D4—32no—
563C2×D4—32no—
564C2×D4—31no—
565C2×D4—34no—
566C2×D4—31no—
567C2×D4—62no—
568C2×D4—68no—
569C2×D4—62no—
570C2×D4—64no—
571C2×D4—616no—
572C2×D4—64no—
573C2×D4—61no—
574C2×D4—62no—
575C2×D4—61no—
576C2×D4—182no—
577C2×D4C2×D3211yescharacteristic
578C22×C4—21no—
579C22×C4—32no—
580C22×C4—62no—
581C22×C4—61no—
582C22×C4—181no—
583C22×C4C2×D3211yescharacteristic
584Q16—62no—
585SD16—62no—
586SD16—62no—
587SD16—184no—
588D8—62no—
589D8—184no—
590M16—182no—
591C2×C8—31no—
592C2×C8—31no—
593C2×C8—62no—
594C2×C8—92no—
595C4⋊C4—92no—
596C4⋊C4—182no—
597C4⋊C4—181no—
598C22⋊C4—182no—
599C22⋊C4—182no—
600C22×C3—21no—
601C22×C3—21no—
602C22×C3—21no—
603C22×C3—21no—
604C22×C3—22no—
605C22×C3—22no—
606C22×C3—21no—
607C22×C3—22no—
608C22×C3—41no—
609C22×C3—41no—
610C22×C3—42no—
611C22×C3—41no—
612C22×C3—41no—
613C22×C3—41no—
614C22×C3—41no—
615C22×C3—62no—
616C22×C3—62no—
617C22×C3—64no—
618C22×C3—62no—
619C22×C3—81no—
620C22×C3—81no—
621C22×C3—122no—
622C22×C3—122no—
623C22×C3—121no—
624C22×C3—121no—
625C22×C3—121no—
626C22×C3—244no—
627C22×C3—248no—
628C22×C3#93712yes—
629C22×C3#95312yes—
630C22×C3C2×D3×D411yescharacteristic
631C22×C3C22×#6711yescharacteristic
632C2×D3—22no—
633C2×D3—22no—
634C2×D3—22no—
635C2×D3—24no—
636C2×D3—42no—
637C2×D3—42no—
638C2×D3—41no—
639C2×D3—41no—
640C2×D3—41no—
641C2×D3—84no—
642C2×D3—88no—
643C3×C4—22no—
644C3×C4—22no—
645C3×C4—21no—
646C3×C4—21no—
647C3×C4—22no—
648C3×C4—42no—
649C3×C4—62no—
650C3×C4—121no—
651C3×C4#93712yes—
652C3×C4#95312yes—
653C3×C4C2×D3×D411yescharacteristic
654C3×C4C22×#6711yescharacteristic
655C3×C4C22×#6711yescharacteristic
656C3×C4C22×#6711yescharacteristic
657Dic3—22no—
658Dic3—41no—
659Dic3—122no—
660Dic3—122no—
661Dic3—242no—
662C32#301211yescharacteristic, complemented, Sylow
663C23—21no—
664C23—32no—
665C23—68no—
666C23—62no—
667C23—64no—
668C23—61no—
669C23—241no—
670C23—241no—
671C23—242no—
672C23—242no—
673C23D3×#6711yescharacteristic
674Q8—21no—
675Q8—62no—
676Q8—61no—
677Q8—61no—
678Q8C2×#62512yes—
679D4—24no—
680D4—21no—
681D4—34no—
682D4—68no—
683D4—68no—
684D4—64no—
685D4—62no—
686D4—61no—
687D4—61no—
688D4—64no—
689D4—62no—
690D4—122no—
691D4—722no—
692D4C2×#62512yes—
693C2×C4—21no—
694C2×C4—24no—
695C2×C4—32no—
696C2×C4—68no—
697C2×C4—62no—
698C2×C4—62no—
699C2×C4—61no—
700C2×C4—122no—
701C2×C4—182no—
702C2×C4—721no—
703C2×C4C2×#62512yes—
704C2×C4D3×#6712yes—
705C2×C4D3×#6711yescharacteristic
706C2×C4C22×D3211yescharacteristic
707C8—61no—
708C8—61no—
709C8—182no—
710C2×C3—22no—
711C2×C3—22no—
712C2×C3—21no—
713C2×C3—21no—
714C2×C3—21no—
715C2×C3—42no—
716C2×C3—42no—
717C2×C3—42no—
718C2×C3—82no—
719C2×C3—122no—
720C2×C3—124no—
721C2×C3—241no—
722C2×C3#576911yescharacteristic
723C2×C3#577011yescharacteristic
724C2×C3C2×#93711yescharacteristic
725C2×C3#583511yescharacteristic
726C2×C3#583611yescharacteristic
727C2×C3C2×#95311yescharacteristic
728D3—42no—
729D3—44no—
730D3—81no—
731C22—21no—
732C22—21no—
733C22—22no—
734C22—41no—
735C22—41no—
736C22—62no—
737C22—62no—
738C22—64no—
739C22—62no—
740C22—122no—
741C22—122no—
742C22—121no—
743C22—121no—
744C22—121no—
745C22—244no—
746C22—248no—
747C22#6397612yes—
748C22C2×D3×#6711yescharacteristic
749C4—22no—
750C4—62no—
751C4—121no—
752C4—362no—
753C4#6397612yes—
754C4C22×#62511yescharacteristic
755C4C2×D3×#6711yescharacteristic
756C3—21no—
757C3#8391211yescharacteristic, complemented
758C3#8410211yescharacteristic, complemented
759C2—22no—
760C2—42no—
761C2—122no—
762C2—124no—
763C2—241no—
764C2#1059545611yescharacteristic
765C2#1059546611yescharacteristic
766C2C2×#6397611yescharacteristic
subgroupG/H
centerC22C2×D3×#67
commutator, cosocleC2×C32×C4C24
FrattiniC2×C4C22×D32
FittingC2×C32×#41C22
socleC22×C32C22×D4
hypercenterC2×#41D32
hypocenterC32#3012
LCSG ▷ C2×C32×C4 ▷ C2×C32 ▷ C32
UCSC1 ◁ C22 ◁ C22×C4 ◁ C2×#41

Complements

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

NH ≅ G/Ntype
1. C2×C3×#1009C2semidirect
2. C2×C3×#950C2semidirect
3. #10595044C2semidirect
4. C2×#63823C2semidirect
5. #10592931C2semidirect
6. #10591597C2semidirect
7. #10591586C2semidirect
8. #10591458C2semidirect
9. #10591447C2semidirect
10. C2×#63563C2semidirect
11. #10591070C2semidirect
22. C2×C3×#235C22semidirect
25. C2×C4⋊(C3⋊Dic3)C22semidirect
26. C2×#3748C22semidirect
28. C2×C3×#216C22semidirect
29. C2×C3×#215C22semidirect
30. C2×C3×#214C22semidirect
31. C2×C3×#213C22semidirect
32. C22×C3×C3⋊C8C22semidirect
35. #63908C22semidirect
37. #63856C22semidirect
38. C2×#3715C22semidirect
40. C2×#3713C22semidirect
41. #63662C22semidirect
42. #63659C22semidirect
43. #63563C22semidirect
44. #63563C22semidirect
45. (C2×D3)⋊(C3⋊C8)C22semidirect
46. (C2×D3)⋊(C3⋊C8)C22semidirect
48. C2×#1009D3semidirect
52. C2×#950D3semidirect
73. C32×#41D4semidirect
98. C2×C3×D12D4semidirect
144. C2×#235C2×D3semidirect
157. C2×#216C2×D3semidirect
159. C2×#215C2×D3semidirect
165. C2×#214C2×D3semidirect
169. C2×#213C2×D3semidirect
180. C22×C3⋊C8C2×D3semidirect
268. C3×#41#67semidirect
269. C3×#41#67semidirect
327. C2×D12#67semidirect
557. #41#625semidirect
662. C32#3012semidirect
757. C3#83912semidirect
758. C3#84102semidirect

Maximal subgroups

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

subgroupindex
C2×C3×#10092
C2×C3×#9502
#105950442
C2×#638232
#105929312
#105915972
#105915862
#105914582
#105914472
C2×#635632
#105910702
#841023
#839123