Finite Group Databasebeta

← C2×#10591689 #11864922

Subgroups — C2×#10591689 #11864922

Order 1152.

1545 conjugacy classes of subgroups.

The subgroup lattice has 756 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C3×#1010C211yesmaximal, characteristic
2C2×#64160C211yesmaximal, characteristic, complemented
3C2×#63866C211yesmaximal, characteristic, complemented
4C2×#63831C211yesmaximal, characteristic, complemented
5C2×C3×#837C211yesmaximal, characteristic, complemented
6#10591689C218yesmaximal, direct product factor
7C2×#63569C211yesmaximal, characteristic, complemented
8C2×#63560C211yesmaximal, characteristic, complemented
9C2×#5246—31nomaximal
10C2×#4826—31nomaximal
11C2×C32×#41C2211yescharacteristic
12C22×#634C2211yescharacteristic
13C3×#1010—22no—
14C3×#1010—22no—
15C3×#1010—22no—
16C3×#1010C2214yes—
17C2×C3×D3×Q8—21no—
18C2×C3×#237—21no—
19C2×C3×#237—22no—
20C2×C3×#235—21no—
21C2×C3×#235C2211yescharacteristic
22C22×C3×Dic6—21no—
23C22×C3×Dic6C2211yescharacteristic
24#64160—22no—
25#64160C2214yescomplemented
26C2×#3756—21no—
27C2×#3754—21no—
28C2×#3748C2211yescharacteristic
29C2×C3×C4×Dic3C2211yescharacteristic
30C2×C3×#208C2211yescharacteristic
31C2×Dic3⋊Dic3—22no—
32#63866—22no—
33#63866C2214yescomplemented
34C2×#3719—21no—
35#63831—22no—
36#63831C2214yescomplemented
37C2×#3716—21no—
38C3×#837C2214yescomplemented
39#63569C2214yescomplemented
40#63560C2214yescomplemented
41C2×C3×2−1+4—31no—
42C2×#1010D311yescharacteristic
43C2×#951—31no—
44C2×#951—31no—
45C2×#951—31no—
46C2×#951—61no—
47C2×#944—31no—
48C2×#909—31no—
49C2×#869—31no—
50C2×C3×#104—31no—
51#5246—38no—
52C2×#837—31no—
53C2×#837D311yescharacteristic, complemented
54C2×#836—31no—
55C2×#824—31no—
56C2×#805—31no—
57#4826—38no—
58C32×#41—21no—
59C32×#41—21no—
60C32×#41D412yes—
61C32×#41C2312yes—
62C2×C32×Q8D411yescharacteristic
63C2×C32×D4—21no—
64C2×C32×D4D411yescharacteristic
65C22×C32×C4—21no—
66C22×C32×C4C2311yescharacteristic
67C22×C3⋊Dic3—21no—
68C2×#634—21no—
69C2×#634—21no—
70C2×#634—21no—
71C2×#634—21no—
72C2×#634—21no—
73C2×#634C2312yes—
74C2×C3×#67—22no—
75C2×C3×#67—21no—
76C22×C3×Dic3—22no—
77C22×C3×Dic3—21no—
78C22×C3×Dic3D412yes—
79C3×D3×Q8—24no—
80C3×D3×Q8—24no—
81C3×#237—28no—
82C3×#237—24no—
83C3×#237—24no—
84C3×#237—28no—
85C3×#235—24no—
86C3×#235—21no—
87C3×#235—21no—
88C3×#235—24no—
89C3×#235D412yes—
90C3×#235C2312yes—
91C2×C3×D12D411yescharacteristic
92C2×C3×C4×D3—22no—
93C2×C3×C4×D3—21no—
94C2×C3×Dic6—22no—
95C2×C3×Dic6—24no—
96C2×C3×Dic6—21no—
97C2×C3×Dic6—21no—
98C2×C3×Dic6—21no—
99C2×C3×Dic6—21no—
100C2×C3×Dic6—24no—
101C2×C3×Dic6D412yes—
102C2×C3×Dic6D411yescharacteristic
103C2×C3×Dic6C2312yes—
104#3756—24no—
105#3754—24no—
106#3748—21no—
107#3748C2312yes—
108C2×C3⋊(C3⋊C8)—21no—
109C3×C4×Dic3—21no—
110C3×C4×Dic3C2312yes—
111C3×#208—21no—
112C3×#208C2312yes—
113C2×C3×C3⋊C8—21no—
114Dic3⋊Dic3—28no—
115#3719—24no—
116#3716—24no—
117C2×#456—91noSylow
118C3×2−1+4—34no—
119C3×2−1+4—62no—
120C3×2−1+4—62no—
121C3×2−1+4—62no—
122C2×C3×#41—21no—
123C2×C3×#41—31no—
124C2×C3×#41—61no—
125C2×C3×#41—62no—
126C2×C3×#41—61no—
127C2×C3×#41C2×D311yescharacteristic
128C2×C3×#41C2×D311yescharacteristic
129C22×C3×Q8—31no—
130C22×C3×Q8—61no—
131C22×C3×Q8—61no—
132#1010—22no—
133#1010—22no—
134#1010—22no—
135#1010C2×D314yes—
136C2×D3×Q8—21no—
137C2×#237—21no—
138C2×#237—22no—
139C2×#235—21no—
140C2×#235C2×D311yescharacteristic
141C22×Dic6—21no—
142C22×Dic6—31no—
143C22×Dic6—31no—
144C22×Dic6—61no—
145C22×Dic6C2×D311yescharacteristic
146C2×C3×M16—31no—
147C2×C3×C42—31no—
148#951—34no—
149#951—34no—
150#951—34no—
151#951—64no—
152#951—62no—
153#951—64no—
154#951—62no—
155#951—62no—
156#944—34no—
157#944—62no—
158C2×#216—61no—
159C2×#216—62no—
160C2×#216—61no—
161C2×#216—61no—
162C2×#214—61no—
163C2×#214—62no—
164C2×#214—61no—
165C2×#214—61no—
166C2×C4⋊Dic3—62no—
167C2×Dic3⋊C4—62no—
168C2×C4×Dic3C2×D311yescharacteristic
169C2×#208—31no—
170C2×#208—31no—
171C2×#208—61no—
172C2×#208C2×D311yescharacteristic
173#909—34no—
174#909—62no—
175C2×Dic12—61no—
176C2×#204—61no—
177#869—34no—
178#869—62no—
179C3×#104—34no—
180#837—34no—
181#837C2×D314yescomplemented
182#836—34no—
183#824—34no—
184#805—34no—
185C23×C32—21no—
186C23×C32C2×D411yescharacteristic
187C22×C3×D3—21no—
188C32×Q8—21no—
189C32×Q8C2×D412yes—
190C32×D4—22no—
191C32×D4—22no—
192C32×D4—21no—
193C32×D4C2×D412yes—
194C2×C32×C4—21no—
195C2×C32×C4—22no—
196C2×C32×C4—22no—
197C2×C32×C4C2×D411yescharacteristic
198C2×C32×C4C2×D411yescharacteristic
199C2×C32×C4C2×D411yescharacteristic
200C2×C32×C4C2×D411yescharacteristic
201C2×C32×C4C2×D411yescharacteristic
202C2×C32×C4C2411yescharacteristic
203C2×C3⋊Dic3—22no—
204C2×C3⋊Dic3—41no—
205C2×C3⋊Dic3—41no—
206#634—22no—
207#634—22no—
208#634—41no—
209#634—41no—
210C3×#67—28no—
211C3×#67—22no—
212C3×#67—22no—
213C2×C3×Dic3—28no—
214C2×C3×Dic3—24no—
215C2×C3×Dic3—22no—
216C2×C3×Dic3—21no—
217C2×C3×Dic3—22no—
218C2×C3×Dic3—22no—
219C2×C3×Dic3C2×D414yes—
220C3×D12—21no—
221C3×D12C2×D412yes—
222C3×C4×D3—28no—
223C3×C4×D3—22no—
224C3×C4×D3—22no—
225C3×Dic6—28no—
226C3×Dic6—22no—
227C3×Dic6—21no—
228C3×Dic6—22no—
229C3×Dic6—22no—
230C3×Dic6—22no—
231C3×Dic6C2×D412yes—
232C3⋊(C3⋊C8)—22no—
233C3×C3⋊C8—22no—
234C2×2−1+4—31no—
235C2×#137—91no—
236C2×#137—91no—
237C2×C4⋊Q8—91no—
238#456—98no—
239C2×#104—31no—
240C2×#104—91no—
241C2×#101—91no—
242C3×#41—21no—
243C3×#41—21no—
244C3×#41—21no—
245C3×#41—21no—
246C3×#41—22no—
247C3×#41—22no—
248C3×#41—32no—
249C3×#41—32no—
250C3×#41—41no—
251C3×#41—41no—
252C3×#41—64no—
253C3×#41—64no—
254C3×#41—68no—
255C3×#41—68no—
256C3×#41—64no—
257C3×#41—64no—
258C3×#41—61no—
259C3×#41—61no—
260C3×#41D1212yes—
261C3×#41#6712yes—
262C3×#41C22×D312yes—
263C3×#41C22×D312yes—
264C2×C3×Q8—21no—
265C2×C3×Q8—32no—
266C2×C3×Q8—32no—
267C2×C3×Q8—31no—
268C2×C3×Q8—64no—
269C2×C3×Q8—62no—
270C2×C3×Q8—64no—
271C2×C3×Q8—64no—
272C2×C3×Q8—64no—
273C2×C3×Q8—61no—
274C2×C3×Q8—61no—
275C2×C3×Q8—61no—
276C2×C3×Q8—61no—
277C2×C3×Q8D1211yescharacteristic
278C2×C3×Q8#6711yescharacteristic
279C2×C3×D4—21no—
280C2×C3×D4—21no—
281C2×C3×D4—21no—
282C2×C3×D4—31no—
283C2×C3×D4—41no—
284C2×C3×D4—62no—
285C2×C3×D4—61no—
286C2×C3×D4D1211yescharacteristic
287C2×C3×D4#6711yescharacteristic
288C22×C3×C4—21no—
289C22×C3×C4—21no—
290C22×C3×C4—21no—
291C22×C3×C4—32no—
292C22×C3×C4—41no—
293C22×C3×C4—62no—
294C22×C3×C4—62no—
295C22×C3×C4—61no—
296C22×C3×C4—61no—
297C22×C3×C4C22×D311yescharacteristic
298C22×C3×C4C22×D311yescharacteristic
299C2×#67—22no—
300C2×#67—21no—
301C22×Dic3—22no—
302C22×Dic3—21no—
303C22×Dic3—61no—
304C22×Dic3—61no—
305C22×Dic3—121no—
306C22×Dic3#6712yes—
307D3×Q8—24no—
308D3×Q8—24no—
309#237—28no—
310#237—24no—
311#237—24no—
312#237—28no—
313#235—24no—
314#235—21no—
315#235—21no—
316#235—24no—
317#235#6712yes—
318#235C22×D312yes—
319C2×D12#6711yescharacteristic
320C2×C4×D3—22no—
321C2×C4×D3—21no—
322C2×Dic6—22no—
323C2×Dic6—24no—
324C2×Dic6—21no—
325C2×Dic6—21no—
326C2×Dic6—21no—
327C2×Dic6—21no—
328C2×Dic6—24no—
329C2×Dic6—32no—
330C2×Dic6—32no—
331C2×Dic6—62no—
332C2×Dic6—62no—
333C2×Dic6—62no—
334C2×Dic6—61no—
335C2×Dic6—61no—
336C2×Dic6—61no—
337C2×Dic6—61no—
338C2×Dic6—61no—
339C2×Dic6—61no—
340C2×Dic6—61no—
341C2×Dic6—61no—
342C2×Dic6—61no—
343C2×Dic6—61no—
344C2×Dic6—121no—
345C2×Dic6—121no—
346C2×Dic6—121no—
347C2×Dic6#6712yes—
348C2×Dic6#6711yescharacteristic
349C2×Dic6C22×D312yes—
350C3×M16—32no—
351C3×M16—61no—
352C2×C3×C8—61no—
353C3×C42—32no—
354C3×C42—61no—
355#216—64no—
356#216—68no—
357#216—64no—
358#216—64no—
359#214—64no—
360#214—68no—
361#214—64no—
362#214—64no—
363C4⋊Dic3—68no—
364Dic3⋊C4—68no—
365C4×Dic3—21no—
366C4×Dic3C22×D312yes—
367#208—21no—
368#208—32no—
369#208—32no—
370#208—62no—
371#208—62no—
372#208—61no—
373#208—61no—
374#208C22×D312yes—
375C2×C3⋊C8—21no—
376C2×C3⋊C8—62no—
377C2×C3⋊C8—61no—
378C2×C3⋊C8—61no—
379Dic12—64no—
380#204—64no—
381C22×C32—22no—
382C22×C32—22no—
383C22×C32—42no—
384C22×C32#12011yescharacteristic
385C22×C32#12011yescharacteristic
386C22×C32C22×D411yescharacteristic
387C2×C3×D3—22no—
388C2×C3×D3—42no—
389C32×C4—22no—
390C32×C4#12011yescharacteristic
391C32×C4#12011yescharacteristic
392C32×C4C22×D411yescharacteristic
393C32×C4C22×D411yescharacteristic
394C3⋊Dic3—42no—
395C3×Dic3—24no—
396C3×Dic3—24no—
397C3×Dic3—22no—
3982−1+4—34no—
3992−1+4—62no—
4002−1+4—62no—
4012−1+4—62no—
402C2×#41—31no—
403C2×#41—61no—
404C2×#41—62no—
405C2×#41—61no—
406C2×#41D3211yescharacteristic
407C22×Q8—31no—
408C22×Q8—61no—
409C22×Q8—61no—
410C22×Q8—91no—
411#137—94no—
412#137—94no—
413#137—182no—
414#137—182no—
415C2×Q16—181no—
416C2×Q16—181no—
417C2×SD16—181no—
418C2×SD16—181no—
419C2×M16—31no—
420C2×M16—91no—
421C4⋊Q8—94no—
422C4⋊Q8—182no—
423C2×C4⋊C4—182no—
424C2×C42—31no—
425#104—34no—
426#104—94no—
427#101—94no—
428C23×C3—21no—
429C23×C3—21no—
430C23×C3—21no—
431C23×C3—41no—
432C23×C3—61no—
433C23×C3D3×D411yescharacteristic
434C23×C3C2×#6711yescharacteristic
435C22×D3—21no—
436C3×Q8—21no—
437C3×Q8—21no—
438C3×Q8—22no—
439C3×Q8—32no—
440C3×Q8—41no—
441C3×Q8—68no—
442C3×Q8—62no—
443C3×Q8—62no—
444C3×Q8—61no—
445C3×Q8—62no—
446C3×Q8—62no—
447C3×Q8C2×D1212yes—
448C3×Q8C2×#6712yes—
449C3×D4—22no—
450C3×D4—22no—
451C3×D4—22no—
452C3×D4—22no—
453C3×D4—21no—
454C3×D4—21no—
455C3×D4—22no—
456C3×D4—32no—
457C3×D4—41no—
458C3×D4—42no—
459C3×D4—42no—
460C3×D4—68no—
461C3×D4—62no—
462C3×D4—62no—
463C3×D4—61no—
464C3×D4C2×D1212yes—
465C3×D4C2×#6712yes—
466C2×C3×C4—21no—
467C2×C3×C4—21no—
468C2×C3×C4—22no—
469C2×C3×C4—22no—
470C2×C3×C4—22no—
471C2×C3×C4—22no—
472C2×C3×C4—21no—
473C2×C3×C4—21no—
474C2×C3×C4—21no—
475C2×C3×C4—21no—
476C2×C3×C4—21no—
477C2×C3×C4—21no—
478C2×C3×C4—34no—
479C2×C3×C4—42no—
480C2×C3×C4—42no—
481C2×C3×C4—41no—
482C2×C3×C4—68no—
483C2×C3×C4—64no—
484C2×C3×C4—68no—
485C2×C3×C4—62no—
486C2×C3×C4—62no—
487C2×C3×C4—61no—
488C2×C3×C4—62no—
489C2×C3×C4—62no—
490C2×C3×C4—62no—
491C2×C3×C4C2×D1211yescharacteristic
492C2×C3×C4C2×D1211yescharacteristic
493C2×C3×C4D3×D411yescharacteristic
494C2×C3×C4D3×D411yescharacteristic
495C2×C3×C4D3×D411yescharacteristic
496C2×C3×C4C2×#6711yescharacteristic
497C2×C3×C4C2×#6711yescharacteristic
498C2×C3×C4C2×#6711yescharacteristic
499C2×C3×C4C2×#6711yescharacteristic
500C2×C3×C4C2×#6711yescharacteristic
501C2×C3×C4C23×D311yescharacteristic
502C2×C3×C4C23×D311yescharacteristic
503#67—28no—
504#67—22no—
505#67—22no—
506C2×Dic3—28no—
507C2×Dic3—24no—
508C2×Dic3—22no—
509C2×Dic3—21no—
510C2×Dic3—22no—
511C2×Dic3—22no—
512C2×Dic3—62no—
513C2×Dic3—62no—
514C2×Dic3—122no—
515C2×Dic3—122no—
516C2×Dic3—122no—
517C2×Dic3—121no—
518C2×Dic3—121no—
519C2×Dic3—121no—
520C2×Dic3—121no—
521C2×Dic3C2×#6714yes—
522D12—21no—
523D12C2×#6712yes—
524C4×D3—28no—
525C4×D3—22no—
526C4×D3—22no—
527Dic6—28no—
528Dic6—22no—
529Dic6—21no—
530Dic6—22no—
531Dic6—22no—
532Dic6—22no—
533Dic6—64no—
534Dic6—62no—
535Dic6—62no—
536Dic6—62no—
537Dic6—62no—
538Dic6—122no—
539Dic6—122no—
540Dic6—122no—
541Dic6—121no—
542Dic6—121no—
543Dic6—121no—
544Dic6—121no—
545Dic6C2×#6712yes—
546C3×C8—62no—
547C3⋊C8—22no—
548C3⋊C8—64no—
549C3⋊C8—62no—
550C3⋊C8—62no—
551C2×C32—21no—
552C2×C32—21no—
553C2×C32—42no—
554C2×C32#45612yescomplemented
555C2×C32C2×#12011yescharacteristic
556C3×D3—42no—
557#41—21no—
558#41—21no—
559#41—32no—
560#41—32no—
561#41—64no—
562#41—64no—
563#41—68no—
564#41—68no—
565#41—64no—
566#41—64no—
567#41—61no—
568#41—61no—
569#41#62612yes—
570#41C2×D3212yes—
571C2×Q8—32no—
572C2×Q8—32no—
573C2×Q8—31no—
574C2×Q8—64no—
575C2×Q8—62no—
576C2×Q8—64no—
577C2×Q8—64no—
578C2×Q8—64no—
579C2×Q8—61no—
580C2×Q8—61no—
581C2×Q8—61no—
582C2×Q8—61no—
583C2×Q8—92no—
584C2×Q8—181no—
585C2×Q8—181no—
586C2×Q8—181no—
587C2×Q8—181no—
588C2×Q8—181no—
589C2×Q8#62611yescharacteristic
590C2×D4—21no—
591C2×D4—31no—
592C2×D4—62no—
593C2×D4—61no—
594C2×D4#62611yescharacteristic
595C22×C4—21no—
596C22×C4—32no—
597C22×C4—62no—
598C22×C4—62no—
599C22×C4—61no—
600C22×C4—61no—
601C22×C4—181no—
602C22×C4C2×D3211yescharacteristic
603Q16—184no—
604Q16—184no—
605SD16—184no—
606SD16—184no—
607M16—32no—
608M16—61no—
609M16—92no—
610M16—181no—
611C2×C8—61no—
612C2×C8—181no—
613C4⋊C4—188no—
614C42—32no—
615C42—61no—
616C22×C3—22no—
617C22×C3—22no—
618C22×C3—22no—
619C22×C3—22no—
620C22×C3—21no—
621C22×C3—21no—
622C22×C3—21no—
623C22×C3—42no—
624C22×C3—42no—
625C22×C3—42no—
626C22×C3—42no—
627C22×C3—62no—
628C22×C3—82no—
629C22×C3—122no—
630C22×C3#88211yescharacteristic
631C22×C3#88211yescharacteristic
632C22×C3#95311yescharacteristic
633C22×C3#95311yescharacteristic
634C22×C3C2×D3×D411yescharacteristic
635C22×C3C22×#6711yescharacteristic
636C2×D3—22no—
637C2×D3—42no—
638C3×C4—22no—
639C3×C4—22no—
640C3×C4—21no—
641C3×C4—21no—
642C3×C4—21no—
643C3×C4—21no—
644C3×C4—42no—
645C3×C4—64no—
646C3×C4—64no—
647C3×C4—62no—
648C3×C4#88211yescharacteristic
649C3×C4#88211yescharacteristic
650C3×C4#95311yescharacteristic
651C3×C4#95311yescharacteristic
652C3×C4C22×D1211yescharacteristic
653C3×C4C2×D3×D411yescharacteristic
654C3×C4C22×#6711yescharacteristic
655C3×C4C22×#6711yescharacteristic
656Dic3—24no—
657Dic3—24no—
658Dic3—22no—
659Dic3—124no—
660Dic3—122no—
661Dic3—122no—
662C32C2×#45611yescharacteristic, complemented, Sylow
663C23—21no—
664C23—61no—
665C23D3×#6711yescharacteristic
666Q8—21no—
667Q8—32no—
668Q8—68no—
669Q8—62no—
670Q8—62no—
671Q8—62no—
672Q8—62no—
673Q8—61no—
674Q8—182no—
675Q8—182no—
676Q8—361no—
677Q8—361no—
678Q8C2×#62612yes—
679D4—22no—
680D4—22no—
681D4—21no—
682D4—32no—
683D4—68no—
684D4—62no—
685D4—62no—
686D4—61no—
687D4C2×#62612yes—
688C2×C4—21no—
689C2×C4—22no—
690C2×C4—22no—
691C2×C4—34no—
692C2×C4—68no—
693C2×C4—68no—
694C2×C4—64no—
695C2×C4—62no—
696C2×C4—62no—
697C2×C4—62no—
698C2×C4—61no—
699C2×C4—62no—
700C2×C4—62no—
701C2×C4—182no—
702C2×C4—361no—
703C2×C4—361no—
704C2×C4C2×#62611yescharacteristic
705C2×C4C2×#62611yescharacteristic
706C2×C4D3×#6711yescharacteristic
707C2×C4D3×#6711yescharacteristic
708C2×C4D3×#6711yescharacteristic
709C2×C4C22×D3211yescharacteristic
710C8—62no—
711C8—182no—
712C2×C3—21no—
713C2×C3—21no—
714C2×C3—21no—
715C2×C3—21no—
716C2×C3—21no—
717C2×C3—22no—
718C2×C3—41no—
719C2×C3—41no—
720C2×C3—42no—
721C2×C3—42no—
722C2×C3—82no—
723C2×C3—122no—
724C2×C3#482612yescomplemented
725C2×C3#524612yescomplemented
726C2×C3C2×#88211yescharacteristic
727C2×C3C2×#95311yescharacteristic
728D3—42no—
729C22—22no—
730C22—22no—
731C22—42no—
732C22—62no—
733C22—122no—
734C22#6397711yescharacteristic
735C22#6397711yescharacteristic
736C22C2×D3×#6711yescharacteristic
737C4—22no—
738C4—64no—
739C4—64no—
740C4—62no—
741C4—362no—
742C4#6397711yescharacteristic
743C4#6397711yescharacteristic
744C4C22×#62611yescharacteristic
745C4C2×D3×#6711yescharacteristic
746C3—21no—
747C3C2×#482611yescharacteristic, complemented
748C3C2×#524611yescharacteristic, complemented
749C2—21no—
750C2—21no—
751C2—42no—
752C2—122no—
753C2#1059168912yesdirect product factor
754C2C2×#6397711yescharacteristic
subgroupG/H
centerC22#63977
commutator, cosocleC2×C32×C4C24
FrattiniC2×C4C22×D32
FittingC2×C32×#41C22
socleC22×C32#120
prime radicalC2×C3×#1010C2
hypercenterC2×#41D32
hypocenterC32C2×#456
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
2. C2×#64160C2semidirect
3. C2×#63866C2semidirect
4. C2×#63831C2semidirect
5. C2×C3×#837C2semidirect
6. #10591689C2direct (N × H)
7. C2×#63569C2semidirect
8. C2×#63560C2semidirect
25. #64160C22semidirect
33. #63866C22semidirect
36. #63831C22semidirect
38. C3×#837C22semidirect
39. #63569C22semidirect
40. #63560C22semidirect
53. C2×#837D3semidirect
181. #837C2×D3semidirect
554. C2×C32#456semidirect
662. C32C2×#456semidirect
724. C2×C3#4826semidirect
725. C2×C3#5246semidirect
747. C3C2×#4826semidirect
748. C3C2×#5246semidirect
753. C2#10591689direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C3×#10102
C2×#641602
C2×#638662
C2×#638312
C2×C3×#8372
#105916892
C2×#635692
C2×#635602
C2×#52463
C2×#48263