Finite Group Databasebeta

← #11864618

Subgroups — #11864618

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×#64307C211yesmaximal, characteristic, complemented
2C3×#5510C211yesmaximal, characteristic, complemented
3C2×#63829C211yesmaximal, characteristic, complemented
4C2×#63823C211yesmaximal, characteristic, complemented
5#10592665C211yesmaximal, characteristic, complemented
6C2×C3×#809C211yesmaximal, characteristic, complemented
7#10591070C211yesmaximal, characteristic, complemented
8#10590614C212yesmaximal, complemented
9#10590613C212yesmaximal, complemented
10#10590596C212yesmaximal, complemented
11#10590595C212yesmaximal, complemented
12#83424—31nomaximal
13#78747—31nomaximal
14C2×#3828C2211yescharacteristic
15C2×C3×#235C2211yescharacteristic
16C2×C3×#235C2211yescharacteristic, complemented
17C22×C3×D12C2211yescharacteristic
18C2×D3×#67—22no—
19#64307—24no—
20#64307—24no—
21C2×#3802—21no—
22C2×D3×D12C2212yes—
23C2×#3796—21no—
24C2×#3795C2212yes—
25C2×C32×C4⋊C4C2211yescharacteristic, complemented
26C2×#3748C2211yescharacteristic, complemented
27C3×#930—22no—
28C22×C3×C3⋊C8C2211yescharacteristic, complemented
29C3×#897—21no—
30C3×#897C2212yescomplemented
31C3×#895—21no—
32C3×#895C2212yescomplemented
33C2×#3719C2211yescharacteristic, complemented
34C2×#3717C2211yescharacteristic, complemented
35#63829—24no—
36C2×#3716C2211yescharacteristic, complemented
37C2×#3715C2212yescomplemented
38C2×#3714C2211yescharacteristic, complemented
39#63823—24no—
40C2×#3713C2212yescomplemented
41#63637C2212yescomplemented
42#63636C2212yescomplemented
43C3×#809C2212yescomplemented
44C3×#809C2212yescomplemented
45(C2×D3)⋊(C3⋊C8)C2212yescomplemented
46(C2×D3)⋊(C3⋊C8)C2212yescomplemented
47C2×#1009—31no—
48C2×#1004—31no—
49C3×#537—31no—
50C2×#950—31no—
51C2×#949—31no—
52C2×#932—31no—
53C2×#904—31no—
54#5510D311yescharacteristic, complemented
55C2×C3×#102—31no—
56#5234—31no—
57#5110—31no—
58#5047—32no—
59#5046—32no—
60#5037—32no—
61#5036—32no—
62#4966—31no—
63#4966—31no—
64#4966—61no—
65C2×#809D311yescharacteristic, complemented
66#4783—32no—
67#4781—32no—
68#4776—32no—
69#4773—32no—
70C23×C3×D3—21no—
71C22×D32—22no—
72C22×C32×C4—21no—
73C22×C32×C4C2311yescharacteristic
74C2×#638—21no—
75#3828—22no—
76#3828D414yescomplemented
77C2×C4⋊(C3⋊D3)C2311yescharacteristic
78C2×C4×C3⋊D3—21no—
79C2×#634C2311yescharacteristic
80C2×C3×#67—21no—
81C2×C3×#67D412yes—
82C3×#235—22no—
83C3×#235—22no—
84C3×#235—22no—
85C3×#235—22no—
86C2×C3×D12—21no—
87C2×C3×D12—22no—
88C2×C3×D12—22no—
89C2×C3×D12D411yescharacteristic
90C2×C3×D12D414yescomplemented
91C2×C3×D12C2311yescharacteristic
92C2×C3×D12C2312yes—
93C2×C3×C4×D3—21no—
94C2×C3×C4×D3C2312yes—
95C2×C3×Dic6D411yescharacteristic
96C2×C3×Dic6C2311yescharacteristic
97D3×#67—216no—
98C2×#626—22no—
99C2×#625—22no—
100C2×D3×Dic3—22no—
101#3802—28no—
102D3×D12—24no—
103D3×D12—24no—
104#3796—28no—
105#3795—24no—
106#3795—24no—
107C32×C4⋊C4—21no—
108C32×C4⋊C4C2312yes—
109#3748—22no—
110C2×C3⋊(C3⋊C8)C2312yes—
111C3×(C2×D3)⋊C4—22no—
112C3×(C2×D3)⋊C4—22no—
113C3×C4⋊Dic3—22no—
114C2×C3×C3⋊C8—22no—
115C2×C3×C3⋊C8C2311yescharacteristic
116C2×C3×C3⋊C8C2311yescharacteristic
117#3719—22no—
118#3717—22no—
119#3716—22no—
120#3715—24no—
121#3714—22no—
122#3713—24no—
123#3012—91noSylow
124C2×C3×#41—31no—
125C2×C3×#41—31no—
126C22×C3×D4—31no—
127C22×#67—62no—
128#1009—64no—
129#1009—64no—
130C2×#239—61no—
131#1004—64no—
132#1004—64no—
133C2×#237—32no—
134C2×#237—61no—
135C2×D3×D4—32no—
136C2×D3×D4—61no—
137C2×D3×D4—62no—
138C2×D3×D4—61no—
139C2×#235—31no—
140C2×#235—31no—
141C2×#235—32no—
142C2×#235—61no—
143C2×#235C2×D311yescharacteristic
144C2×#235C2×D311yescharacteristic, complemented
145C22×D12—32no—
146C22×D12C2×D311yescharacteristic
147C22×C3×C8—31no—
148C3×C22⋊Q8—32no—
149C3×C22⋊Q8—61no—
150C3×#121—32no—
151C3×#121—61no—
152C3×#121—62no—
153C2×C3×C4⋊C4—21no—
154C2×C3×C4⋊C4C2×D311yescharacteristic, complemented
155C2×C3×C4⋊C4C2×D311yescharacteristic, complemented
156#950—64no—
157#949—64no—
158C2×#216—31no—
159C2×#215—32no—
160C2×#215—31no—
161C2×#214—32no—
162C2×#214—31no—
163#932—64no—
164C2×#213—32no—
165C2×#213—32no—
166C2×#213—31no—
167#930—22no—
168C2×#208—31no—
169C2×#208—31no—
170C2×#208—61no—
171C22×C3⋊C8C2×D311yescharacteristic, complemented
172C2×Dic12—31no—
173#904—64no—
174C2×D24—31no—
175C2×#204—31no—
176C2×#204—31no—
177#897—21no—
178#897C2×D312yescomplemented
179#895—21no—
180#895C2×D312yescomplemented
181C3×#102—32no—
182C3×#102—32no—
183#830—32no—
184#830—32no—
185(C2×D3)⋊C8—32no—
186(C2×D3)⋊C8—32no—
187#810—32no—
188#810—32no—
189#810—62no—
190#809—32no—
191#809—32no—
192#809—62no—
193#809C2×D312yescomplemented
194#809C2×D312yescomplemented
195C23×C32C2×D411yescharacteristic
196C22×C3⋊D3—21no—
197C22×C3×D3—22no—
198C22×C3×D3—24no—
199C22×C3×D3—21no—
200C22×C3×D3—81no—
201C22×C3×D3—81no—
202C22×C3×D3C2×D412yes—
203C2×D32—28no—
204C2×D32—82no—
205C2×D32—82no—
206C2×C32×C4—22no—
207C2×C32×C4—81no—
208C2×C32×C4C2×D412yes—
209C2×C32×C4C2×D412yes—
210C2×C32×C4C2×D411yescharacteristic
211C2×C32×C4C2411yescharacteristic
212#638—24no—
213C2×C3⋊Dic3—21no—
214C4⋊(C3⋊D3)—21no—
215C4⋊(C3⋊D3)C2×D412yes—
216C4×C3⋊D3—24no—
217#634—21no—
218#634C2×D412yes—
219C3×#67—24no—
220C3×#67—42no—
221C2×C3×Dic3—21no—
222C2×C3×Dic3C2×D412yes—
223C3×D12—24no—
224C3×D12—22no—
225C3×D12—22no—
226C3×D12—21no—
227C3×D12—21no—
228C3×D12—82no—
229C3×D12C2×D414yes—
230C3×C4×D3—22no—
231C3×C4×D3—22no—
232C3×C4×D3—42no—
233C3×Dic6—22no—
234C3×Dic6—21no—
235C3×Dic6—21no—
236#626—28no—
237#625—28no—
238D3×Dic3—28no—
239C3⋊(C3⋊C8)—22no—
240C3×C3⋊C8—21no—
241C3×C3⋊C8—21no—
242C2×H(5,𝔽2)—91no—
243C2×AGL(1,ℤ/8)—91no—
244C2×#135—91no—
245#537—31no—
246#452—92no—
247#450—92no—
248#449—92no—
249#447—92no—
250#417—91no—
251C2×#102—31no—
252#408—91no—
253C24×C3—61no—
254C23×D3—21no—
255C23×D3—62no—
256C23×D3—62no—
257C3×#41—62no—
258C3×#41—62no—
259C3×#41—62no—
260C3×#41—62no—
261C2×C3×Q8—31no—
262C2×C3×Q8—31no—
263C2×C3×D4—32no—
264C2×C3×D4—34no—
265C2×C3×D4—31no—
266C2×C3×D4—32no—
267C2×C3×D4—31no—
268C2×C3×D4—62no—
269C2×C3×D4—61no—
270C2×C3×D4—62no—
271C2×C3×D4—61no—
272C22×C3×C4—21no—
273C22×C3×C4—21no—
274C22×C3×C4—21no—
275C22×C3×C4—32no—
276C22×C3×C4—41no—
277C22×C3×C4—61no—
278C22×C3×C4C22×D311yescharacteristic
279C22×C3×C4C22×D311yescharacteristic
280C2×#67—21no—
281C2×#67—616no—
282C2×#67—62no—
283C2×#67—61no—
284C2×#67—61no—
285C2×#67—62no—
286C2×#67—62no—
287C2×#67—121no—
288C2×#67#6712yes—
289C22×Dic3—62no—
290#239—68no—
291#237—68no—
292#237—64no—
293#237—64no—
294D3×D4—64no—
295D3×D4—64no—
296D3×D4—68no—
297D3×D4—68no—
298D3×D4—616no—
299#235—22no—
300#235—22no—
301#235—22no—
302#235—22no—
303#235—34no—
304#235—34no—
305#235—64no—
306#235—64no—
307#235—62no—
308#235—62no—
309#235—64no—
310#235—122no—
311C2×D12—21no—
312C2×D12—22no—
313C2×D12—22no—
314C2×D12—31no—
315C2×D12—31no—
316C2×D12—61no—
317C2×D12—64no—
318C2×D12—62no—
319C2×D12—64no—
320C2×D12D1214yescomplemented
321C2×D12#6711yescharacteristic
322C2×D12C22×D311yescharacteristic
323C2×D12C22×D312yes—
324C2×C4×D3—21no—
325C2×C4×D3—62no—
326C2×C4×D3—61no—
327C2×C4×D3—61no—
328C2×C4×D3—121no—
329C2×C4×D3C22×D312yes—
330C2×Dic6—31no—
331C2×Dic6—31no—
332C2×Dic6—61no—
333C2×Dic6#6711yescharacteristic
334C2×Dic6C22×D311yescharacteristic
335C2×C3×C8—31no—
336C2×C3×C8—31no—
337C2×C3×C8—62no—
338C3×C4⋊C4—21no—
339C3×C4⋊C4—21no—
340C3×C4⋊C4—22no—
341C3×C4⋊C4—41no—
342C3×C4⋊C4—62no—
343C3×C4⋊C4C22×D312yes—
344C3×C4⋊C4C22×D312yes—
345C3×C22⋊C4—62no—
346C3×C22⋊C4—62no—
347#216—62no—
348#215—62no—
349#215—64no—
350#214—62no—
351#214—64no—
352#213—62no—
353#213—64no—
354#213—64no—
355(C2×D3)⋊C4—22no—
356(C2×D3)⋊C4—22no—
357C4⋊Dic3—22no—
358#208—62no—
359#208—62no—
360#208—122no—
361C2×C3⋊C8—22no—
362C2×C3⋊C8—32no—
363C2×C3⋊C8—32no—
364C2×C3⋊C8—62no—
365C2×C3⋊C8C22×D311yescharacteristic
366C2×C3⋊C8C22×D311yescharacteristic
367Dic12—62no—
368D24—62no—
369#204—62no—
370#204—62no—
371C22×C32—21no—
372C22×C32—21no—
373C22×C32#12012yes—
374C22×C32C22×D411yescharacteristic
375C2×C3⋊D3—22no—
376C2×C3⋊D3—41no—
377C2×C3⋊D3—41no—
378C2×C3×D3—24no—
379C2×C3×D3—22no—
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—
388D32—88no—
389C32×C4—42no—
390C32×C4#12012yes—
391C32×C4C22×D411yescharacteristic
392C32×C4C22×D411yescharacteristic
393C3⋊Dic3—22no—
394C3×Dic3—22no—
395C3×Dic3—41no—
396H(5,𝔽2)—184no—
397H(5,𝔽2)—184no—
398C2×#41—31no—
399C2×#41—31no—
400C2×#41—92no—
401C2×#41—91no—
402C2×#41—181no—
403C22×D4—31no—
404C22×D4—92no—
405C22×D4—181no—
406C22×D4—182no—
407AGL(1,ℤ/8)—184no—
408#135—184no—
409C2×Q16—91no—
410C2×SD16—91no—
411C2×SD16—91no—
412C2×SD16—92no—
413C2×D8—91no—
414C2×D8—92no—
415C2×M16—91no—
416C22×C8—31no—
417C22⋊Q8—32no—
418C22⋊Q8—61no—
419#121—32no—
420#121—61no—
421#121—62no—
422C2×C4⋊C4D3211yescharacteristic, complemented
423#103—92no—
424#102—32no—
425#102—32no—
426#102—92no—
427C22⋊C8—92no—
428C22⋊C8—92no—
429C23×C3—21no—
430C23×C3—32no—
431C23×C3—62no—
432C23×C3—64no—
433C23×C3—61no—
434C23×C3—241no—
435C23×C3—241no—
436C23×C3D3×D411yescharacteristic
437C23×C3C2×#6711yescharacteristic
438C22×D3—22no—
439C22×D3—24no—
440C22×D3—21no—
441C22×D3—68no—
442C22×D3—68no—
443C22×D3—61no—
444C22×D3—61no—
445C22×D3—81no—
446C22×D3—81no—
447C22×D3—121no—
448C22×D3—242no—
449C22×D3—242no—
450C22×D3—242no—
451C22×D3—242no—
452C22×D3C2×#6712yes—
453C3×Q8—62no—
454C3×Q8—61no—
455C3×Q8—61no—
456C3×D4—34no—
457C3×D4—64no—
458C3×D4—62no—
459C3×D4—64no—
460C3×D4—61no—
461C3×D4—62no—
462C3×D4—61no—
463C3×D4—122no—
464C3×D4—242no—
465C2×C3×C4—22no—
466C2×C3×C4—22no—
467C2×C3×C4—21no—
468C2×C3×C4—22no—
469C2×C3×C4—22no—
470C2×C3×C4—21no—
471C2×C3×C4—32no—
472C2×C3×C4—42no—
473C2×C3×C4—62no—
474C2×C3×C4—62no—
475C2×C3×C4—61no—
476C2×C3×C4—81no—
477C2×C3×C4—81no—
478C2×C3×C4—82no—
479C2×C3×C4—122no—
480C2×C3×C4C2×D1212yes—
481C2×C3×C4D3×D412yes—
482C2×C3×C4D3×D412yes—
483C2×C3×C4D3×D412yes—
484C2×C3×C4D3×D411yescharacteristic
485C2×C3×C4C2×#6711yescharacteristic
486C2×C3×C4C23×D311yescharacteristic
487C2×C3×C4C23×D311yescharacteristic
488#67—24no—
489#67—42no—
490#67—68no—
491#67—68no—
492#67—68no—
493#67—64no—
494#67—64no—
495#67—124no—
496C2×Dic3—21no—
497C2×Dic3—68no—
498C2×Dic3—61no—
499C2×Dic3—61no—
500C2×Dic3—121no—
501C2×Dic3C2×#6712yes—
502D12—24no—
503D12—22no—
504D12—22no—
505D12—21no—
506D12—21no—
507D12—32no—
508D12—32no—
509D12—62no—
510D12—68no—
511D12—61no—
512D12—61no—
513D12—82no—
514D12—121no—
515D12C2×D1214yes—
516C4×D3—22no—
517C4×D3—22no—
518C4×D3—42no—
519C4×D3—68no—
520C4×D3—64no—
521C4×D3—64no—
522C4×D3—124no—
523Dic6—22no—
524Dic6—21no—
525Dic6—21no—
526Dic6—32no—
527Dic6—32no—
528Dic6—62no—
529Dic6—61no—
530Dic6—61no—
531Dic6—121no—
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×C32C2×#12011yescharacteristic
541C2×C32#57611yescharacteristic
542C2×C32#57711yescharacteristic
543C3⋊D3—42no—
544C3×D3—42no—
545C3×D3—44no—
546C3×D3—81no—
547C24—61no—
548C24—182no—
549#41—62no—
550#41—62no—
551#41—62no—
552#41—62no—
553#41—94no—
554#41—184no—
555#41—184no—
556#41—188no—
557#41—182no—
558C2×Q8—31no—
559C2×Q8—31no—
560C2×Q8—91no—
561C2×D4—32no—
562C2×D4—32no—
563C2×D4—31no—
564C2×D4—34no—
565C2×D4—31no—
566C2×D4—62no—
567C2×D4—61no—
568C2×D4—62no—
569C2×D4—61no—
570C2×D4—91no—
571C2×D4—182no—
572C2×D4—184no—
573C2×D4—184no—
574C2×D4—188no—
575C2×D4—1816no—
576C2×D4—182no—
577C2×D4—181no—
578C22×C4—21no—
579C22×C4—32no—
580C22×C4—61no—
581C22×C4—182no—
582C22×C4—181no—
583C22×C4C2×D3211yescharacteristic
584Q16—182no—
585SD16—182no—
586SD16—182no—
587SD16—184no—
588D8—182no—
589D8—184no—
590M16—182no—
591C2×C8—31no—
592C2×C8—31no—
593C2×C8—62no—
594C2×C8—92no—
595C4⋊C4—21no—
596C4⋊C4—62no—
597C4⋊C4C2×D3212yes—
598C22⋊C4—62no—
599C22⋊C4—62no—
600C22×C3—21no—
601C22×C3—21no—
602C22×C3—21no—
603C22×C3—21no—
604C22×C3—21no—
605C22×C3—22no—
606C22×C3—41no—
607C22×C3—41no—
608C22×C3—62no—
609C22×C3—62no—
610C22×C3—62no—
611C22×C3—64no—
612C22×C3—122no—
613C22×C3—122no—
614C22×C3—121no—
615C22×C3—121no—
616C22×C3—121no—
617C22×C3—244no—
618C22×C3#88212yes—
619C22×C3#93712yes—
620C22×C3C2×D3×D411yescharacteristic
621C22×C3C22×#6711yescharacteristic
622C2×D3—24no—
623C2×D3—22no—
624C2×D3—22no—
625C2×D3—22no—
626C2×D3—42no—
627C2×D3—42no—
628C2×D3—41no—
629C2×D3—41no—
630C2×D3—41no—
631C2×D3—62no—
632C2×D3—62no—
633C2×D3—84no—
634C2×D3—122no—
635C2×D3—121no—
636C2×D3—121no—
637C2×D3—121no—
638C2×D3—121no—
639C2×D3—241no—
640C2×D3—241no—
641C2×D3—248no—
642C2×D3—248no—
643C3×C4—21no—
644C3×C4—21no—
645C3×C4—22no—
646C3×C4—42no—
647C3×C4—42no—
648C3×C4—62no—
649C3×C4—82no—
650C3×C4—121no—
651C3×C4#88212yes—
652C3×C4#93712yes—
653C3×C4C22×D1211yescharacteristic
654C3×C4C2×D3×D411yescharacteristic
655C3×C4C2×D3×D411yescharacteristic
656C3×C4C2×D3×D411yescharacteristic
657Dic3—22no—
658Dic3—41no—
659Dic3—62no—
660Dic3—62no—
661Dic3—122no—
662C32#301211yescharacteristic, complemented, Sylow
663C23—32no—
664C23—62no—
665C23—64no—
666C23—61no—
667C23—188no—
668C23—181no—
669C23—241no—
670C23—241no—
671C23—722no—
672C23—722no—
673C23D3×#6711yescharacteristic
674Q8—62no—
675Q8—61no—
676Q8—61no—
677Q8—92no—
678Q8—181no—
679D4—34no—
680D4—64no—
681D4—61no—
682D4—62no—
683D4—61no—
684D4—64no—
685D4—62no—
686D4—92no—
687D4—122no—
688D4—188no—
689D4—188no—
690D4—184no—
691D4—181no—
692D4—242no—
693C2×C4—22no—
694C2×C4—32no—
695C2×C4—62no—
696C2×C4—62no—
697C2×C4—61no—
698C2×C4—81no—
699C2×C4—122no—
700C2×C4—188no—
701C2×C4—181no—
702C2×C4—184no—
703C2×C4D3×D1212yes—
704C2×C4#380212yes—
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—122no—
717C2×C3—124no—
718C2×C3—241no—
719C2×C3C2×#88211yescharacteristic
720C2×C3#575711yescharacteristic
721C2×C3#576211yescharacteristic
722C2×C3C2×#93711yescharacteristic
723C2×C3#583511yescharacteristic
724C2×C3#583711yescharacteristic
725D3—44no—
726D3—42no—
727D3—81no—
728D3—122no—
729D3—122no—
730D3—242no—
731C22—21no—
732C22—21no—
733C22—62no—
734C22—62no—
735C22—64no—
736C22—62no—
737C22—122no—
738C22—122no—
739C22—121no—
740C22—121no—
741C22—121no—
742C22—182no—
743C22—244no—
744C22—361no—
745C22—361no—
746C22—728no—
747C22#6392212yes—
748C22C2×D3×#6711yescharacteristic
749C4—42no—
750C4—62no—
751C4—121no—
752C4—182no—
753C4#6392212yes—
754C4C2×D3×D1211yescharacteristic
755C4C2×#380211yescharacteristic
756C3—21no—
757C3#7874711yescharacteristic, complemented
758C3#8342411yescharacteristic, complemented
759C2—22no—
760C2—122no—
761C2—124no—
762C2—241no—
763C2—362no—
764C2C2×#6392211yescharacteristic
765C2#1059509611yescharacteristic
766C2#1059531811yescharacteristic
subgroupG/H
centerC22C2×D3×#67
commutator, cosocleC2×C32×C4C24
FrattiniC2×C4C22×D32
FittingC2×C32×C4⋊C4C22
socleC22×C32C22×D4
hypercenterC2×C4⋊C4D32
hypocenterC32#3012
LCSG ▷ C2×C32×C4 ▷ C2×C32 ▷ C32
UCSC1 ◁ C22 ◁ C22×C4 ◁ C2×C4⋊C4

Complements

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

NH ≅ G/Ntype
1. C2×#64307C2semidirect
2. C3×#5510C2semidirect
3. C2×#63829C2semidirect
4. C2×#63823C2semidirect
5. #10592665C2semidirect
6. C2×C3×#809C2semidirect
7. #10591070C2semidirect
8. #10590614C2semidirect
9. #10590613C2semidirect
10. #10590596C2semidirect
11. #10590595C2semidirect
16. C2×C3×#235C22semidirect
25. C2×C32×C4⋊C4C22semidirect
26. C2×#3748C22semidirect
28. C22×C3×C3⋊C8C22semidirect
30. C3×#897C22semidirect
32. C3×#895C22semidirect
33. C2×#3719C22semidirect
34. C2×#3717C22semidirect
36. C2×#3716C22semidirect
37. C2×#3715C22semidirect
38. C2×#3714C22semidirect
40. C2×#3713C22semidirect
41. #63637C22semidirect
42. #63636C22semidirect
43. C3×#809C22semidirect
44. C3×#809C22semidirect
45. (C2×D3)⋊(C3⋊C8)C22semidirect
46. (C2×D3)⋊(C3⋊C8)C22semidirect
54. #5510D3semidirect
65. C2×#809D3semidirect
76. #3828D4semidirect
90. C2×C3×D12D4semidirect
144. C2×#235C2×D3semidirect
154. C2×C3×C4⋊C4C2×D3semidirect
155. C2×C3×C4⋊C4C2×D3semidirect
171. C22×C3⋊C8C2×D3semidirect
178. #897C2×D3semidirect
180. #895C2×D3semidirect
193. #809C2×D3semidirect
194. #809C2×D3semidirect
320. C2×D12D12semidirect
422. C2×C4⋊C4D32semidirect
662. C32#3012semidirect
757. C3#78747semidirect
758. C3#83424semidirect

Maximal subgroups

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

subgroupindex
C2×#643072
C3×#55102
C2×#638292
C2×#638232
#105926652
C2×C3×#8092
#105910702
#105906142
#105906132
#105905962
#105905952
#834243
#787473