Finite Group Databasebeta

← C2×#10591687 #11864924

Subgroups — C2×#10591687 #11864924

Order 1152.

1501 conjugacy classes of subgroups.

The subgroup lattice has 742 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C3×#1010C211yesmaximal, characteristic
2C2×C3×#951C211yesmaximal, characteristic, complemented
3C2×#63873C211yesmaximal, characteristic, complemented
4C2×#63827C211yesmaximal, characteristic, complemented
5C2×#63664C211yesmaximal, characteristic, complemented
6#10591687C218yesmaximal, direct product factor
7C2×#63568C211yesmaximal, characteristic, complemented
8C2×#63560C211yesmaximal, characteristic, complemented
9C2×#5246—31nomaximal
10C2×#5205—31nomaximal
11C2×C32×#41C2211yescharacteristic
12C3×#1010—22no—
13C3×#1010—22no—
14C3×#1010—22no—
15C3×#1010C2214yes—
16C2×C3×D3×Q8—21no—
17C2×C3×#237—21no—
18C2×C3×#237—22no—
19C2×C3×#235—21no—
20C2×C3×#235C2211yescharacteristic
21C22×C3×Dic6—21no—
22C22×C3×Dic6C2211yescharacteristic
23C22×C3×Dic6C2211yescharacteristic
24C2×C4×C3⋊Dic3C2211yescharacteristic
25C2×#3748C2211yescharacteristic
26C3×#951—22no—
27C3×#951C2214yescomplemented
28C2×C3×#216—21no—
29C2×C3×#214—21no—
30C2×C3×#208C2211yescharacteristic
31C2×#3724—22no—
32#63873—22no—
33#63873C2214yescomplemented
34C2×#3718—21no—
35#63827—22no—
36#63827C2214yescomplemented
37C2×#3715—21no—
38#63664C2214yescomplemented
39#63568C2214yescomplemented
40#63560C2214yescomplemented
41C2×C3×2−1+4—31no—
42C2×#1010D311yescharacteristic
43C2×C3×#137—31no—
44C2×#951—31no—
45C2×#951D311yescharacteristic, complemented
46C2×#944—31no—
47C2×#944—31no—
48C2×#942—31no—
49#5246—38no—
50C2×#837—31no—
51C2×#837—31no—
52C2×#837—31no—
53C2×#837—61no—
54C2×#836—31no—
55#5205—38no—
56C2×#825—31no—
57C2×#824—31no—
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×C3×#67—22no—
69C2×C3×#67—21no—
70C22×C3×Dic3—22no—
71C22×C3×Dic3—21no—
72C22×C3×Dic3D412yes—
73C3×D3×Q8—24no—
74C3×D3×Q8—24no—
75C3×#237—28no—
76C3×#237—24no—
77C3×#237—24no—
78C3×#237—28no—
79C3×#235—24no—
80C3×#235—21no—
81C3×#235—21no—
82C3×#235—24no—
83C3×#235D412yes—
84C3×#235C2312yes—
85C2×C3×D12D411yescharacteristic
86C2×C3×C4×D3—22no—
87C2×C3×C4×D3—21no—
88C2×C3×Dic6—22no—
89C2×C3×Dic6—24no—
90C2×C3×Dic6—21no—
91C2×C3×Dic6—21no—
92C2×C3×Dic6—21no—
93C2×C3×Dic6—21no—
94C2×C3×Dic6—24no—
95C2×C3×Dic6—21no—
96C2×C3×Dic6—21no—
97C2×C3×Dic6—21no—
98C2×C3×Dic6—21no—
99C2×C3×Dic6—21no—
100C2×C3×Dic6D412yes—
101C2×C3×Dic6D411yescharacteristic
102C2×C3×Dic6C2312yes—
103C2×C3×Dic6C2312yes—
104C4×C3⋊Dic3—21no—
105C4×C3⋊Dic3C2312yes—
106#3748—21no—
107#3748C2312yes—
108C2×C3⋊(C3⋊C8)—21no—
109C3×#216—24no—
110C3×#214—24no—
111C3×#208—21no—
112C3×#208C2312yes—
113C2×C3×C3⋊C8—21no—
114#3724—28no—
115#3718—24no—
116#3715—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—31no—
131C22×C3×Q8—61no—
132C22×C3×Q8—61no—
133#1010—22no—
134#1010—22no—
135#1010—22no—
136#1010C2×D314yes—
137C2×D3×Q8—21no—
138C2×#237—21no—
139C2×#237—22no—
140C2×#235—21no—
141C2×#235C2×D311yescharacteristic
142C22×Dic6—21no—
143C22×Dic6C2×D311yescharacteristic
144C22×Dic6C2×D311yescharacteristic
145C3×#137—34no—
146C3×#137—62no—
147C2×C3×Q16—61no—
148C2×C3×SD16—61no—
149C2×C3×M16—31no—
150#951—22no—
151#951—34no—
152#951—62no—
153#951C2×D314yescomplemented
154#944—34no—
155#944—34no—
156#944—62no—
157#944—62no—
158C2×#216—21no—
159C2×#216—61no—
160C2×#216—61no—
161#942—34no—
162#942—62no—
163C2×#215—61no—
164C2×#214—21no—
165C2×#214—61no—
166C2×Dic3⋊C4—62no—
167C2×Dic3⋊C4—62no—
168C2×C4×Dic3—31no—
169C2×C4×Dic3—31no—
170C2×C4×Dic3—61no—
171C2×#208—31no—
172C2×#208—31no—
173C2×#208—61no—
174C2×#208C2×D311yescharacteristic
175#837—34no—
176#837—34no—
177#837—34no—
178#837—64no—
179#836—34no—
180#825—34no—
181#824—34no—
182C23×C32—21no—
183C23×C32C2×D411yescharacteristic
184C22×C3×D3—21no—
185C32×Q8—21no—
186C32×Q8C2×D412yes—
187C32×D4—22no—
188C32×D4—22no—
189C32×D4—21no—
190C32×D4C2×D412yes—
191C2×C32×C4—21no—
192C2×C32×C4—22no—
193C2×C32×C4—22no—
194C2×C32×C4C2×D411yescharacteristic
195C2×C32×C4C2×D411yescharacteristic
196C2×C32×C4C2×D411yescharacteristic
197C2×C32×C4C2×D411yescharacteristic
198C2×C32×C4C2×D411yescharacteristic
199C2×C32×C4C2411yescharacteristic
200C2×C3⋊Dic3—24no—
201C2×C3⋊Dic3—22no—
202C3×#67—28no—
203C3×#67—22no—
204C3×#67—22no—
205C2×C3×Dic3—28no—
206C2×C3×Dic3—22no—
207C2×C3×Dic3—21no—
208C2×C3×Dic3—22no—
209C2×C3×Dic3—22no—
210C2×C3×Dic3—41no—
211C2×C3×Dic3—41no—
212C2×C3×Dic3C2×D414yes—
213C3×D12—21no—
214C3×D12C2×D412yes—
215C3×C4×D3—28no—
216C3×C4×D3—22no—
217C3×C4×D3—22no—
218C3×Dic6—28no—
219C3×Dic6—22no—
220C3×Dic6—21no—
221C3×Dic6—22no—
222C3×Dic6—22no—
223C3×Dic6—22no—
224C3×Dic6—22no—
225C3×Dic6—22no—
226C3×Dic6—41no—
227C3×Dic6—41no—
228C3×Dic6C2×D412yes—
229C3⋊(C3⋊C8)—22no—
230C3×C3⋊C8—22no—
231C2×2−1+4—31no—
232C2×#137—31no—
233C2×#137—91no—
234C2×C4⋊Q8—91no—
235#456—98no—
236C2×#104—91no—
237C2×#104—91no—
238C2×#101—91no—
239C3×#41—21no—
240C3×#41—21no—
241C3×#41—21no—
242C3×#41—21no—
243C3×#41—22no—
244C3×#41—22no—
245C3×#41—32no—
246C3×#41—32no—
247C3×#41—41no—
248C3×#41—41no—
249C3×#41—64no—
250C3×#41—64no—
251C3×#41—68no—
252C3×#41—68no—
253C3×#41—64no—
254C3×#41—64no—
255C3×#41—61no—
256C3×#41—61no—
257C3×#41#6712yes—
258C3×#41#6712yes—
259C3×#41C22×D312yes—
260C3×#41C22×D312yes—
261C2×C3×Q8—21no—
262C2×C3×Q8—32no—
263C2×C3×Q8—32no—
264C2×C3×Q8—31no—
265C2×C3×Q8—32no—
266C2×C3×Q8—64no—
267C2×C3×Q8—62no—
268C2×C3×Q8—64no—
269C2×C3×Q8—64no—
270C2×C3×Q8—64no—
271C2×C3×Q8—61no—
272C2×C3×Q8—61no—
273C2×C3×Q8—61no—
274C2×C3×Q8—61no—
275C2×C3×Q8—61no—
276C2×C3×Q8—61no—
277C2×C3×Q8—61no—
278C2×C3×Q8—61no—
279C2×C3×Q8—61no—
280C2×C3×Q8#6711yescharacteristic
281C2×C3×Q8#6711yescharacteristic
282C2×C3×D4—21no—
283C2×C3×D4—21no—
284C2×C3×D4—21no—
285C2×C3×D4—31no—
286C2×C3×D4—41no—
287C2×C3×D4—62no—
288C2×C3×D4—61no—
289C2×C3×D4#6711yescharacteristic
290C2×C3×D4#6711yescharacteristic
291C22×C3×C4—21no—
292C22×C3×C4—21no—
293C22×C3×C4—21no—
294C22×C3×C4—32no—
295C22×C3×C4—41no—
296C22×C3×C4—62no—
297C22×C3×C4—62no—
298C22×C3×C4—61no—
299C22×C3×C4—61no—
300C22×C3×C4C22×D311yescharacteristic
301C22×C3×C4C22×D311yescharacteristic
302C2×#67—22no—
303C2×#67—21no—
304C22×Dic3—22no—
305C22×Dic3—21no—
306C22×Dic3—61no—
307C22×Dic3—61no—
308C22×Dic3—121no—
309C22×Dic3#6712yes—
310D3×Q8—24no—
311D3×Q8—24no—
312#237—28no—
313#237—24no—
314#237—24no—
315#237—28no—
316#235—24no—
317#235—21no—
318#235—21no—
319#235—24no—
320#235#6712yes—
321#235C22×D312yes—
322C2×D12#6711yescharacteristic
323C2×C4×D3—22no—
324C2×C4×D3—21no—
325C2×Dic6—22no—
326C2×Dic6—24no—
327C2×Dic6—21no—
328C2×Dic6—21no—
329C2×Dic6—21no—
330C2×Dic6—21no—
331C2×Dic6—24no—
332C2×Dic6—21no—
333C2×Dic6—21no—
334C2×Dic6—21no—
335C2×Dic6—21no—
336C2×Dic6—21no—
337C2×Dic6#6712yes—
338C2×Dic6#6711yescharacteristic
339C2×Dic6C22×D312yes—
340C2×Dic6C22×D312yes—
341C3×Q16—64no—
342C3×SD16—64no—
343C3×M16—32no—
344C3×M16—61no—
345C2×C3×C8—61no—
346#216—24no—
347#216—64no—
348#216—64no—
349#215—64no—
350#214—24no—
351#214—64no—
352Dic3⋊C4—68no—
353Dic3⋊C4—68no—
354C4×Dic3—32no—
355C4×Dic3—32no—
356C4×Dic3—62no—
357C4×Dic3—61no—
358C4×Dic3—61no—
359C4×Dic3—121no—
360#208—21no—
361#208—32no—
362#208—32no—
363#208—62no—
364#208—61no—
365#208—61no—
366#208—121no—
367#208C22×D312yes—
368C2×C3⋊C8—21no—
369C2×C3⋊C8—61no—
370C2×C3⋊C8—61no—
371C2×C3⋊C8—121no—
372C22×C32—22no—
373C22×C32—22no—
374C22×C32—42no—
375C22×C32#12011yescharacteristic
376C22×C32#12011yescharacteristic
377C22×C32C22×D411yescharacteristic
378C2×C3×D3—22no—
379C2×C3×D3—42no—
380C32×C4—22no—
381C32×C4#12011yescharacteristic
382C32×C4#12011yescharacteristic
383C32×C4C22×D411yescharacteristic
384C32×C4C22×D411yescharacteristic
385C3⋊Dic3—24no—
386C3×Dic3—24no—
387C3×Dic3—22no—
388C3×Dic3—42no—
3892−1+4—34no—
3902−1+4—62no—
3912−1+4—62no—
3922−1+4—62no—
393C2×#41—31no—
394C2×#41—61no—
395C2×#41—62no—
396C2×#41—61no—
397C2×#41D3211yescharacteristic
398C22×Q8—31no—
399C22×Q8—31no—
400C22×Q8—61no—
401C22×Q8—61no—
402#137—34no—
403#137—62no—
404#137—94no—
405#137—182no—
406C2×Q16—61no—
407C2×Q16—181no—
408C2×SD16—61no—
409C2×SD16—181no—
410C2×M16—31no—
411C2×M16—91no—
412C4⋊Q8—94no—
413C4⋊Q8—182no—
414C2×C4⋊C4—182no—
415C2×C42—91no—
416#104—94no—
417#104—94no—
418#101—94no—
419C23×C3—21no—
420C23×C3—21no—
421C23×C3—21no—
422C23×C3—41no—
423C23×C3—61no—
424C23×C3D3×D411yescharacteristic
425C23×C3C2×#6711yescharacteristic
426C22×D3—21no—
427C3×Q8—21no—
428C3×Q8—21no—
429C3×Q8—22no—
430C3×Q8—32no—
431C3×Q8—41no—
432C3×Q8—68no—
433C3×Q8—62no—
434C3×Q8—62no—
435C3×Q8—61no—
436C3×Q8—62no—
437C3×Q8—62no—
438C3×Q8—62no—
439C3×Q8—62no—
440C3×Q8—121no—
441C3×Q8—121no—
442C3×Q8C2×#6712yes—
443C3×Q8C2×#6712yes—
444C3×D4—22no—
445C3×D4—22no—
446C3×D4—22no—
447C3×D4—22no—
448C3×D4—21no—
449C3×D4—21no—
450C3×D4—22no—
451C3×D4—32no—
452C3×D4—41no—
453C3×D4—42no—
454C3×D4—42no—
455C3×D4—68no—
456C3×D4—62no—
457C3×D4—62no—
458C3×D4—61no—
459C3×D4C2×#6712yes—
460C3×D4C2×#6712yes—
461C2×C3×C4—21no—
462C2×C3×C4—21no—
463C2×C3×C4—22no—
464C2×C3×C4—22no—
465C2×C3×C4—22no—
466C2×C3×C4—22no—
467C2×C3×C4—21no—
468C2×C3×C4—21no—
469C2×C3×C4—21no—
470C2×C3×C4—21no—
471C2×C3×C4—21no—
472C2×C3×C4—21no—
473C2×C3×C4—34no—
474C2×C3×C4—42no—
475C2×C3×C4—42no—
476C2×C3×C4—41no—
477C2×C3×C4—68no—
478C2×C3×C4—68no—
479C2×C3×C4—62no—
480C2×C3×C4—62no—
481C2×C3×C4—61no—
482C2×C3×C4—62no—
483C2×C3×C4—62no—
484C2×C3×C4—62no—
485C2×C3×C4—121no—
486C2×C3×C4—121no—
487C2×C3×C4D3×D411yescharacteristic
488C2×C3×C4D3×D411yescharacteristic
489C2×C3×C4D3×D411yescharacteristic
490C2×C3×C4C2×#6711yescharacteristic
491C2×C3×C4C2×#6711yescharacteristic
492C2×C3×C4C2×#6711yescharacteristic
493C2×C3×C4C2×#6711yescharacteristic
494C2×C3×C4C2×#6711yescharacteristic
495C2×C3×C4C2×#6711yescharacteristic
496C2×C3×C4C2×#6711yescharacteristic
497C2×C3×C4C23×D311yescharacteristic
498C2×C3×C4C23×D311yescharacteristic
499#67—28no—
500#67—22no—
501#67—22no—
502C2×Dic3—28no—
503C2×Dic3—22no—
504C2×Dic3—21no—
505C2×Dic3—22no—
506C2×Dic3—22no—
507C2×Dic3—41no—
508C2×Dic3—41no—
509C2×Dic3—64no—
510C2×Dic3—64no—
511C2×Dic3—62no—
512C2×Dic3—62no—
513C2×Dic3—122no—
514C2×Dic3—124no—
515C2×Dic3C2×#6714yes—
516D12—21no—
517D12C2×#6712yes—
518C4×D3—28no—
519C4×D3—22no—
520C4×D3—22no—
521Dic6—28no—
522Dic6—22no—
523Dic6—21no—
524Dic6—22no—
525Dic6—22no—
526Dic6—22no—
527Dic6—22no—
528Dic6—22no—
529Dic6—41no—
530Dic6—41no—
531Dic6C2×#6712yes—
532C3×C8—62no—
533C3⋊C8—22no—
534C3⋊C8—62no—
535C3⋊C8—62no—
536C3⋊C8—122no—
537C2×C32—21no—
538C2×C32—21no—
539C2×C32—42no—
540C2×C32#45612yescomplemented
541C2×C32C2×#12011yescharacteristic
542C3×D3—42no—
543#41—21no—
544#41—21no—
545#41—32no—
546#41—32no—
547#41—64no—
548#41—64no—
549#41—68no—
550#41—68no—
551#41—64no—
552#41—64no—
553#41—61no—
554#41—61no—
555#41#62512yes—
556#41C2×D3212yes—
557C2×Q8—32no—
558C2×Q8—32no—
559C2×Q8—32no—
560C2×Q8—31no—
561C2×Q8—64no—
562C2×Q8—62no—
563C2×Q8—64no—
564C2×Q8—64no—
565C2×Q8—64no—
566C2×Q8—61no—
567C2×Q8—61no—
568C2×Q8—61no—
569C2×Q8—61no—
570C2×Q8—61no—
571C2×Q8—61no—
572C2×Q8—61no—
573C2×Q8—61no—
574C2×Q8—61no—
575C2×Q8#62511yescharacteristic
576C2×D4—21no—
577C2×D4—31no—
578C2×D4—62no—
579C2×D4—61no—
580C2×D4#62511yescharacteristic
581C22×C4—21no—
582C22×C4—32no—
583C22×C4—62no—
584C22×C4—62no—
585C22×C4—61no—
586C22×C4—61no—
587C22×C4—181no—
588C22×C4C2×D3211yescharacteristic
589Q16—64no—
590Q16—184no—
591SD16—64no—
592SD16—184no—
593M16—32no—
594M16—61no—
595M16—92no—
596M16—181no—
597C2×C8—61no—
598C2×C8—181no—
599C4⋊C4—188no—
600C42—92no—
601C42—181no—
602C22×C3—22no—
603C22×C3—22no—
604C22×C3—22no—
605C22×C3—22no—
606C22×C3—21no—
607C22×C3—21no—
608C22×C3—21no—
609C22×C3—42no—
610C22×C3—42no—
611C22×C3—42no—
612C22×C3—42no—
613C22×C3—62no—
614C22×C3—82no—
615C22×C3—122no—
616C22×C3#93711yescharacteristic
617C22×C3#93711yescharacteristic
618C22×C3#95311yescharacteristic
619C22×C3#95311yescharacteristic
620C22×C3C2×D3×D411yescharacteristic
621C22×C3C22×#6711yescharacteristic
622C2×D3—22no—
623C2×D3—42no—
624C3×C4—22no—
625C3×C4—22no—
626C3×C4—21no—
627C3×C4—21no—
628C3×C4—21no—
629C3×C4—21no—
630C3×C4—42no—
631C3×C4—64no—
632C3×C4—62no—
633C3×C4—122no—
634C3×C4#93711yescharacteristic
635C3×C4#93711yescharacteristic
636C3×C4#95311yescharacteristic
637C3×C4#95311yescharacteristic
638C3×C4C2×D3×D411yescharacteristic
639C3×C4C22×#6711yescharacteristic
640C3×C4C22×#6711yescharacteristic
641C3×C4C22×#6711yescharacteristic
642Dic3—24no—
643Dic3—22no—
644Dic3—42no—
645Dic3—64no—
646Dic3—64no—
647Dic3—124no—
648C32C2×#45611yescharacteristic, complemented, Sylow
649C23—21no—
650C23—61no—
651C23D3×#6711yescharacteristic
652Q8—21no—
653Q8—32no—
654Q8—68no—
655Q8—62no—
656Q8—62no—
657Q8—62no—
658Q8—62no—
659Q8—61no—
660Q8—62no—
661Q8—62no—
662Q8—121no—
663Q8—121no—
664Q8C2×#62512yes—
665D4—22no—
666D4—22no—
667D4—21no—
668D4—32no—
669D4—68no—
670D4—62no—
671D4—62no—
672D4—61no—
673D4C2×#62512yes—
674C2×C4—21no—
675C2×C4—22no—
676C2×C4—22no—
677C2×C4—34no—
678C2×C4—68no—
679C2×C4—68no—
680C2×C4—62no—
681C2×C4—62no—
682C2×C4—61no—
683C2×C4—62no—
684C2×C4—62no—
685C2×C4—62no—
686C2×C4—121no—
687C2×C4—121no—
688C2×C4—184no—
689C2×C4—182no—
690C2×C4C2×#62511yescharacteristic
691C2×C4C2×#62511yescharacteristic
692C2×C4D3×#6711yescharacteristic
693C2×C4D3×#6711yescharacteristic
694C2×C4D3×#6711yescharacteristic
695C2×C4C22×D3211yescharacteristic
696C8—62no—
697C8—182no—
698C2×C3—21no—
699C2×C3—21no—
700C2×C3—21no—
701C2×C3—21no—
702C2×C3—21no—
703C2×C3—22no—
704C2×C3—41no—
705C2×C3—41no—
706C2×C3—42no—
707C2×C3—42no—
708C2×C3—82no—
709C2×C3—122no—
710C2×C3#520512yescomplemented
711C2×C3#524612yescomplemented
712C2×C3C2×#93711yescharacteristic
713C2×C3C2×#95311yescharacteristic
714D3—42no—
715C22—22no—
716C22—22no—
717C22—42no—
718C22—62no—
719C22—122no—
720C22#6397611yescharacteristic
721C22#6397611yescharacteristic
722C22C2×D3×#6711yescharacteristic
723C4—22no—
724C4—64no—
725C4—62no—
726C4—122no—
727C4—184no—
728C4#6397611yescharacteristic
729C4#6397611yescharacteristic
730C4C22×#62511yescharacteristic
731C4C2×D3×#6711yescharacteristic
732C3—21no—
733C3C2×#520511yescharacteristic, complemented
734C3C2×#524611yescharacteristic, complemented
735C2—21no—
736C2—21no—
737C2—42no—
738C2—122no—
739C2#1059168712yesdirect product factor
740C2C2×#6397611yescharacteristic
subgroupG/H
centerC22#63976
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×C3×#951C2semidirect
3. C2×#63873C2semidirect
4. C2×#63827C2semidirect
5. C2×#63664C2semidirect
6. #10591687C2direct (N × H)
7. C2×#63568C2semidirect
8. C2×#63560C2semidirect
27. C3×#951C22semidirect
33. #63873C22semidirect
36. #63827C22semidirect
38. #63664C22semidirect
39. #63568C22semidirect
40. #63560C22semidirect
45. C2×#951D3semidirect
153. #951C2×D3semidirect
540. C2×C32#456semidirect
648. C32C2×#456semidirect
710. C2×C3#5205semidirect
711. C2×C3#5246semidirect
733. C3C2×#5205semidirect
734. C3C2×#5246semidirect
739. C2#10591687direct (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×C3×#9512
C2×#638732
C2×#638272
C2×#636642
#105916872
C2×#635682
C2×#635602
C2×#52463
C2×#52053