Finite Group Databasebeta

← #11863814

Subgroups — #11863814

Order 1152.

2292 conjugacy classes of subgroups.

The subgroup lattice has 714 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#41×C3⋊D3C211yesmaximal, characteristic, complemented
2C2×C32×#135C211yesmaximal, characteristic, complemented
3#10596299C211yesmaximal, characteristic, complemented
4C2×#64159C211yesmaximal, characteristic, complemented
5#10592932C211yesmaximal, characteristic, complemented
6#10592886C211yesmaximal, characteristic, complemented
7#10592885C211yesmaximal, characteristic, complemented
8#10592872C211yesmaximal, characteristic, complemented
9#10592871C211yesmaximal, characteristic, complemented
10#10592869C211yesmaximal, characteristic, complemented
11#10592868C211yesmaximal, characteristic, complemented
12#10592857C211yesmaximal, characteristic, complemented
13#10592855C211yesmaximal, characteristic, complemented
14#10592812C211yesmaximal, characteristic, complemented
15C2×#63647C211yesmaximal, characteristic, complemented
16#83911—34nomaximal
17C2×C32×#41C2211yescharacteristic
18C2×C32×#41C2211yescharacteristic, complemented
19#41×C3⋊D3—24no—
20#41×C3⋊D3—24no—
21C2×#3832C2211yescharacteristic
22C2×Q8×C3⋊D3C2211yescharacteristic
23C2×#3830—21no—
24C2×#3830C2211yescharacteristic
25C2×D4×C3⋊D3—21no—
26C2×D4×C3⋊D3C2211yescharacteristic
27C2×#3828—21no—
28C2×#3828C2211yescharacteristic
29C22×C4×C3⋊D3—21no—
30C22×C4×C3⋊D3C2211yescharacteristic
31C32×#135—24no—
32C2×C32×Q16C2211yescharacteristic, complemented
33C2×C32×SD16C2211yescharacteristic, complemented
34C2×C32×SD16C2211yescharacteristic, complemented
35C2×C32×D8C2211yescharacteristic, complemented
36C22×C32×C8C2211yescharacteristic, complemented
37#64159—24no—
38#64155C2211yescharacteristic
39#64155C2211yescharacteristic, complemented
40C2×#3756C2211yescharacteristic, complemented
41C2×#3755C2211yescharacteristic, complemented
42#64147C2211yescharacteristic
43#64147C2211yescharacteristic, complemented
44#64146—21no—
45#64144—21no—
46C2×#3754C2211yescharacteristic, complemented
47C2×#3753C2211yescharacteristic, complemented
48C4×#638—21no—
49C4×#638—21no—
50#64135C2211yescharacteristic, complemented
51C22×C3⋊(C3⋊C8)C2211yescharacteristic, complemented
52#63662C2211yescharacteristic, complemented
53#63662C2211yescharacteristic, complemented
54#63659C2211yescharacteristic, complemented
55#63659C2211yescharacteristic, complemented
56#63648C2211yescharacteristic, complemented
57#63648C2211yescharacteristic, complemented
58#63647C2211yescharacteristic
59#63647C2211yescharacteristic
60#63647C2211yescharacteristic, complemented
61#63647C2211yescharacteristic, complemented
62#63643C2211yescharacteristic, complemented
63#63643C2211yescharacteristic, complemented
64C2×D3×#41—34no—
65C2×C3×#135D314yescomplemented
66#5828—34no—
67C2×#950—34no—
68#5233—34no—
69#5187—34no—
70#5186—34no—
71#5173—34no—
72#5172—34no—
73#5170—34no—
74#5169—34no—
75#5158—34no—
76#5156—34no—
77#5113—34no—
78C2×(C2×D3)⋊C8—34no—
79C23×C3⋊D3—21no—
80C23×C3⋊D3D411yescharacteristic
81C32×#41—22no—
82C32×#41—22no—
83C32×#41—22no—
84C32×#41D414yescomplemented
85C2×C32×Q8C2311yescharacteristic
86C2×C32×Q8C2311yescharacteristic
87C2×C32×D4—21no—
88C2×C32×D4—21no—
89C2×C32×D4C2311yescharacteristic
90C2×C32×D4C2311yescharacteristic
91C22×C32×C4—21no—
92C22×C32×C4—21no—
93C22×C32×C4C2311yescharacteristic
94C2×#638—21no—
95C2×#638—21no—
96C2×#638—21no—
97C2×#638—21no—
98C2×#638—21no—
99C22×C3⋊Dic3—21no—
100C22×C3⋊Dic3D411yescharacteristic
101#3832—22no—
102#3832—22no—
103Q8×C3⋊D3—22no—
104Q8×C3⋊D3—22no—
105#3830—28no—
106#3830—22no—
107#3830—22no—
108D4×C3⋊D3—28no—
109D4×C3⋊D3—22no—
110D4×C3⋊D3—22no—
111#3828—28no—
112#3828—22no—
113#3828D414yescomplemented
114C2×C4⋊(C3⋊D3)—21no—
115C2×C4⋊(C3⋊D3)C2311yescharacteristic
116C2×C4×C3⋊D3—28no—
117C2×C4×C3⋊D3—21no—
118C2×C4×C3⋊D3—21no—
119C2×C4×C3⋊D3—22no—
120C2×C4×C3⋊D3—22no—
121C2×C4×C3⋊D3—21no—
122C2×C4×C3⋊D3D411yescharacteristic
123C2×C4×C3⋊D3D411yescharacteristic
124C2×C4×C3⋊D3C2311yescharacteristic
125C2×C4×C3⋊D3C2311yescharacteristic
126C2×#634—21no—
127C2×#634C2311yescharacteristic
128C32×Q16—22no—
129C32×SD16—22no—
130C32×SD16—22no—
131C32×D8—22no—
132C2×C32×C8—22no—
133C2×C32×C8C2311yescharacteristic
134C2×C32×C8C2311yescharacteristic
135#3757—21no—
136#3757—21no—
137#3757—21no—
138#3756—22no—
139#3755—22no—
140#3754—22no—
141#3753—22no—
142#3752—21no—
143#3752—21no—
144C4⋊(C3⋊Dic3)C2311yescharacteristic
145C4⋊(C3⋊Dic3)C2311yescharacteristic
146#3750—21no—
147#3750—21no—
148C4×C3⋊Dic3—21no—
149C2×C3⋊(C3⋊C8)—22no—
150C2×C3⋊(C3⋊C8)C2311yescharacteristic
151C2×C3⋊(C3⋊C8)C2311yescharacteristic
152#3002—91noSylow
153C2×C3×#41C2×D314yes—
154C2×C3×#41C2×D314yescomplemented
155D3×#41—616no—
156D3×#41—616no—
157C2×#239—34no—
158C2×D3×Q8—34no—
159C2×#237—34no—
160C2×#237—64no—
161C2×D3×D4—34no—
162C2×D3×D4—64no—
163C2×#235—34no—
164C2×#235—64no—
165C22×C4×D3—34no—
166C22×C4×D3—64no—
167C3×#135—216no—
168C2×C3×Q16C2×D314yescomplemented
169C2×C3×SD16C2×D314yescomplemented
170C2×C3×SD16C2×D314yescomplemented
171C2×C3×D8C2×D314yescomplemented
172C22×C3×C8C2×D314yescomplemented
173#950—616no—
174#946—34no—
175#946—34no—
176C2×#216—34no—
177C2×#215—34no—
178#938—34no—
179#938—34no—
180#937—64no—
181#935—64no—
182C2×#214—34no—
183C2×#213—34no—
184C4×#67—64no—
185C4×#67—64no—
186#926—34no—
187C22×C3⋊C8—34no—
188#835—34no—
189#835—34no—
190#832—34no—
191#832—34no—
192#821—34no—
193#821—34no—
194(C2×D3)⋊C8—34no—
195(C2×D3)⋊C8—34no—
196(C2×D3)⋊C8—34no—
197(C2×D3)⋊C8—34no—
198#816—34no—
199#816—34no—
200C23×C32—21no—
201C23×C32—21no—
202C23×C32C2×D411yescharacteristic
203C22×C3⋊D3—24no—
204C22×C3⋊D3—22no—
205C22×C3⋊D3—21no—
206C22×C3⋊D3—22no—
207C22×C3⋊D3—41no—
208C22×C3⋊D3—42no—
209C22×C3⋊D3—42no—
210C22×C3⋊D3C2×D411yescharacteristic
211C22×C3⋊D3C2×D411yescharacteristic
212C32×Q8—21no—
213C32×Q8—21no—
214C32×Q8—21no—
215C32×Q8C2×D412yes—
216C32×D4—24no—
217C32×D4—21no—
218C32×D4—21no—
219C32×D4—21no—
220C32×D4—42no—
221C32×D4C2×D412yes—
222C2×C32×C4—21no—
223C2×C32×C4—24no—
224C2×C32×C4—21no—
225C2×C32×C4—42no—
226C2×C32×C4C2×D411yescharacteristic
227C2×C32×C4C2×D412yes—
228C2×C32×C4C2×D412yes—
229C2×C32×C4C2411yescharacteristic
230#638—24no—
231#638—24no—
232#638—24no—
233#638—42no—
234#638—42no—
235C2×C3⋊Dic3—24no—
236C2×C3⋊Dic3—22no—
237C2×C3⋊Dic3—21no—
238C2×C3⋊Dic3—21no—
239C2×C3⋊Dic3—21no—
240C2×C3⋊Dic3C2×D411yescharacteristic
241C2×C3⋊Dic3C2×D411yescharacteristic
242C4⋊(C3⋊D3)—24no—
243C4⋊(C3⋊D3)—21no—
244C4⋊(C3⋊D3)C2×D412yes—
245C4×C3⋊D3—24no—
246C4×C3⋊D3—24no—
247C4×C3⋊D3—22no—
248C4×C3⋊D3—24no—
249C4×C3⋊D3—22no—
250C4×C3⋊D3—21no—
251C4×C3⋊D3—21no—
252C4×C3⋊D3—21no—
253C4×C3⋊D3—21no—
254#634—24no—
255#634—21no—
256#634C2×D412yes—
257C32×C8—21no—
258C32×C8—21no—
259C3⋊(C3⋊C8)—21no—
260C3⋊(C3⋊C8)—21no—
261C22×#41—91no—
262C2×#135—91no—
263C2×#135C3⋊D311yescharacteristic, complemented
264#525—91no—
265#452—91no—
266#452—91no—
267#451—91no—
268#450—91no—
269#449—91no—
270#449—91no—
271#448—91no—
272#447—91no—
273#416—91no—
274#416—91no—
275C2×C22⋊C8—91no—
276C23×D3—34no—
277C23×D3—64no—
278C3×#41—28no—
279C3×#41—28no—
280C3×#41—28no—
281C3×#41#67116yescomplemented
282C2×C3×Q8C22×D314yes—
283C2×C3×Q8C22×D314yes—
284C2×C3×D4—24no—
285C2×C3×D4—24no—
286C2×C3×D4C22×D314yes—
287C2×C3×D4C22×D314yes—
288C22×C3×C4—24no—
289C22×C3×C4—24no—
290C22×C3×C4C22×D314yes—
291C2×#67—64no—
292C2×#67—64no—
293C2×#67—64no—
294C2×#67—64no—
295C2×#67—64no—
296C22×Dic3—34no—
297C22×Dic3—64no—
298#239—68no—
299#239—68no—
300D3×Q8—68no—
301D3×Q8—68no—
302#237—68no—
303#237—632no—
304#237—68no—
305D3×D4—68no—
306D3×D4—632no—
307D3×D4—68no—
308#235—316no—
309#235—632no—
310#235—68no—
311C2×D12—34no—
312C2×D12—64no—
313C2×C4×D3—34no—
314C2×C4×D3—34no—
315C2×C4×D3—34no—
316C2×C4×D3—34no—
317C2×C4×D3—64no—
318C2×C4×D3—64no—
319C2×C4×D3—632no—
320C2×C4×D3—68no—
321C2×C4×D3—64no—
322C2×C4×D3—68no—
323C2×Dic6—34no—
324C2×Dic6—64no—
325C3×Q16—28no—
326C3×SD16—28no—
327C3×SD16—28no—
328C3×D8—28no—
329C2×C3×C8—28no—
330C2×C3×C8C22×D314yes—
331C2×C3×C8C22×D314yes—
332#217—64no—
333#217—64no—
334#217—64no—
335#216—68no—
336#215—68no—
337#214—68no—
338#213—68no—
339(C2×D3)⋊C4—64no—
340(C2×D3)⋊C4—64no—
341C4⋊Dic3—34no—
342C4⋊Dic3—34no—
343Dic3⋊C4—64no—
344Dic3⋊C4—64no—
345C4×Dic3—64no—
346C2×C3⋊C8—34no—
347C2×C3⋊C8—34no—
348C2×C3⋊C8—68no—
349C22×C32—21no—
350C22×C32—21no—
351C22×C32—22no—
352C22×C32—41no—
353C22×C32—41no—
354C22×C32—41no—
355C22×C32—41no—
356C22×C32—41no—
357C22×C32#12012yes—
358C22×C32C22×D411yescharacteristic
359C2×C3⋊D3—21no—
360C2×C3⋊D3—21no—
361C2×C3⋊D3—21no—
362C2×C3⋊D3—22no—
363C2×C3⋊D3—21no—
364C2×C3⋊D3—21no—
365C2×C3⋊D3—44no—
366C2×C3⋊D3—48no—
367C2×C3⋊D3—41no—
368C2×C3⋊D3—41no—
369C2×C3⋊D3#13512yescomplemented
370C32×C4—22no—
371C32×C4—41no—
372C32×C4#12012yes—
373C32×C4C22×D411yescharacteristic
374C32×C4C22×D411yescharacteristic
375C3⋊Dic3—21no—
376C3⋊Dic3—22no—
377C3⋊Dic3—21no—
378C3⋊Dic3—41no—
379C3⋊Dic3—41no—
380C2×#41—91no—
381C2×#41—91no—
382C2×#41—91no—
383C2×#41—181no—
384C2×#41—181no—
385C2×#41—184no—
386C2×#41—184no—
387C2×#41C2×C3⋊D311yescharacteristic
388C2×#41C2×C3⋊D311yescharacteristic, complemented
389C22×Q8—91no—
390C22×D4—91no—
391C22×D4—181no—
392C23×C4—91no—
393C23×C4—181no—
394#135—24no—
395#135—184no—
396C2×Q16—91no—
397C2×Q16C2×C3⋊D311yescharacteristic, complemented
398C2×SD16—91no—
399C2×SD16—91no—
400C2×SD16C2×C3⋊D311yescharacteristic, complemented
401C2×SD16C2×C3⋊D311yescharacteristic, complemented
402C2×D8—91no—
403C2×D8C2×C3⋊D311yescharacteristic, complemented
404C22×C8—91no—
405C22×C8C2×C3⋊D311yescharacteristic, complemented
406#123—181no—
407C22⋊Q8—91no—
408C22⋊Q8—91no—
409#121—91no—
410#121—91no—
411#120—181no—
412C4×D4—181no—
413C4×D4—181no—
414#117—91no—
415#103—91no—
416#103—91no—
417#103—91no—
418#103—91no—
419#102—91no—
420#102—91no—
421#102—91no—
422#102—91no—
423C22⋊C8—91no—
424C22⋊C8—91no—
425C22⋊C8—91no—
426C22⋊C8—91no—
427C23×C3—24no—
428C23×C3—24no—
429C23×C3D3×D414yes—
430C22×D3—34no—
431C22×D3—34no—
432C22×D3—68no—
433C22×D3—616no—
434C22×D3—68no—
435C22×D3—64no—
436C22×D3—128no—
437C22×D3—124no—
438C22×D3—128no—
439C3×Q8—24no—
440C3×Q8—24no—
441C3×Q8—24no—
442C3×Q8C2×#6718yes—
443C3×D4—216no—
444C3×D4—24no—
445C3×D4—24no—
446C3×D4—24no—
447C3×D4—48no—
448C3×D4C2×#6718yes—
449C2×C3×C4—24no—
450C2×C3×C4—216no—
451C2×C3×C4—24no—
452C2×C3×C4—48no—
453C2×C3×C4D3×D418yes—
454C2×C3×C4D3×D414yes—
455C2×C3×C4C2×#6718yes—
456C2×C3×C4C23×D314yes—
457#67—616no—
458#67—616no—
459#67—616no—
460#67—128no—
461#67—128no—
462C2×Dic3—34no—
463C2×Dic3—34no—
464C2×Dic3—616no—
465C2×Dic3—68no—
466C2×Dic3—64no—
467C2×Dic3—64no—
468C2×Dic3—64no—
469D12—38no—
470D12—616no—
471D12—64no—
472C4×D3—616no—
473C4×D3—616no—
474C4×D3—68no—
475C4×D3—68no—
476C4×D3—616no—
477C4×D3—64no—
478C4×D3—64no—
479C4×D3—64no—
480C4×D3—64no—
481Dic6—38no—
482Dic6—616no—
483Dic6—64no—
484C3×C8—24no—
485C3×C8—24no—
486C3⋊C8—64no—
487C3⋊C8—64no—
488C2×C32—22no—
489C2×C32—42no—
490C2×C32—81no—
491C2×C32C2×#12011yescharacteristic
492C2×C32C2×#13511yescharacteristic
493C2×C32#57511yescharacteristic
494C3⋊D3—22no—
495C3⋊D3—41no—
496C3⋊D3—42no—
497C24—91no—
498C24—181no—
499#41—22no—
500#41—22no—
501#41—22no—
502#41—94no—
503#41—188no—
504#41—182no—
505#41—188no—
506#41—182no—
507#41—182no—
508#41—182no—
509#41—182no—
510#41#63814yescomplemented
511C2×Q8—91no—
512C2×Q8—181no—
513C2×Q8—182no—
514C2×Q8—182no—
515C2×Q8C22×C3⋊D311yescharacteristic
516C2×Q8C22×C3⋊D311yescharacteristic
517C2×D4—21no—
518C2×D4—21no—
519C2×D4—91no—
520C2×D4—181no—
521C2×D4—181no—
522C2×D4—182no—
523C2×D4—188no—
524C2×D4—181no—
525C2×D4—181no—
526C2×D4—182no—
527C2×D4—181no—
528C2×D4—181no—
529C2×D4C22×C3⋊D311yescharacteristic
530C2×D4C22×C3⋊D311yescharacteristic
531C22×C4—21no—
532C22×C4—21no—
533C22×C4—91no—
534C22×C4—91no—
535C22×C4—91no—
536C22×C4—91no—
537C22×C4—91no—
538C22×C4—181no—
539C22×C4—181no—
540C22×C4—188no—
541C22×C4—181no—
542C22×C4—182no—
543C22×C4—181no—
544C22×C4—182no—
545C22×C4C22×C3⋊D311yescharacteristic
546Q16—22no—
547Q16—182no—
548SD16—22no—
549SD16—22no—
550SD16—182no—
551SD16—182no—
552D8—22no—
553D8—182no—
554C2×C8—22no—
555C2×C8—91no—
556C2×C8—91no—
557C2×C8—182no—
558C2×C8C22×C3⋊D311yescharacteristic
559C2×C8C22×C3⋊D311yescharacteristic
560C4⋊C4—91no—
561C4⋊C4—91no—
562C4⋊C4—181no—
563C4⋊C4—181no—
564C22⋊C4—181no—
565C22⋊C4—181no—
566C22⋊C4—181no—
567C22⋊C4—181no—
568C22⋊C4—181no—
569C42—181no—
570C22×C3—24no—
571C22×C3—24no—
572C22×C3—28no—
573C22×C3—44no—
574C22×C3—44no—
575C22×C3—44no—
576C22×C3—44no—
577C22×C3—44no—
578C22×C3#93718yes—
579C22×C3C2×D3×D414yes—
580C2×D3—38no—
581C2×D3—64no—
582C2×D3—64no—
583C2×D3—64no—
584C2×D3—64no—
585C2×D3—68no—
586C2×D3—64no—
587C2×D3—1216no—
588C2×D3—1232no—
589C2×D3—124no—
590C2×D3—124no—
591C3×C4—28no—
592C3×C4—44no—
593C3×C4#93718yes—
594C3×C4C2×D3×D414yes—
595C3×C4C22×#6714yes—
596Dic3—68no—
597Dic3—64no—
598Dic3—64no—
599Dic3—124no—
600Dic3—124no—
601C32#300211yescharacteristic, complemented, Sylow
602C23—21no—
603C23—21no—
604C23—91no—
605C23—91no—
606C23—182no—
607C23—184no—
608C23—181no—
609C23—182no—
610C23—361no—
611C23—362no—
612C23—362no—
613C23D4×C3⋊D311yescharacteristic
614Q8—21no—
615Q8—21no—
616Q8—21no—
617Q8—92no—
618Q8—184no—
619Q8—181no—
620Q8C2×#63812yes—
621D4—24no—
622D4—21no—
623D4—21no—
624D4—21no—
625D4—42no—
626D4—92no—
627D4—184no—
628D4—184no—
629D4—184no—
630D4—184no—
631D4—181no—
632D4—362no—
633D4—362no—
634D4C2×#63812yes—
635C2×C4—21no—
636C2×C4—24no—
637C2×C4—21no—
638C2×C4—42no—
639C2×C4—91no—
640C2×C4—91no—
641C2×C4—184no—
642C2×C4—184no—
643C2×C4—184no—
644C2×C4—181no—
645C2×C4—182no—
646C2×C4—181no—
647C2×C4—181no—
648C2×C4—181no—
649C2×C4—181no—
650C2×C4—182no—
651C2×C4—182no—
652C2×C4—184no—
653C2×C4—181no—
654C2×C4—181no—
655C2×C4D4×C3⋊D312yes—
656C2×C4D4×C3⋊D311yescharacteristic
657C2×C4C2×#63812yes—
658C2×C4C23×C3⋊D311yescharacteristic
659C8—21no—
660C8—21no—
661C8—181no—
662C8—181no—
663C2×C3—28no—
664C2×C3—48no—
665C2×C3—84no—
666C2×C3D3×#13514yes—
667C2×C3#576814yes—
668C2×C3C2×#93714yes—
669D3—68no—
670D3—124no—
671D3—128no—
672C22—21no—
673C22—21no—
674C22—22no—
675C22—41no—
676C22—41no—
677C22—41no—
678C22—41no—
679C22—41no—
680C22—92no—
681C22—181no—
682C22—181no—
683C22—181no—
684C22—181no—
685C22—182no—
686C22—181no—
687C22—364no—
688C22—368no—
689C22—361no—
690C22—361no—
691C22#6414612yes—
692C22C2×D4×C3⋊D311yescharacteristic
693C4—22no—
694C4—41no—
695C4—181no—
696C4—181no—
697C4—182no—
698C4—361no—
699C4—361no—
700C4#6414612yes—
701C4C2×D4×C3⋊D311yescharacteristic
702C4C22×#63811yescharacteristic
703C3#8391114yescomplemented
704C2—22no—
705C2—42no—
706C2—81no—
707C2—182no—
708C2—361no—
709C2—362no—
710C2C3⋊D3×#13511yescharacteristic
711C2#1059623911yescharacteristic
712C2C2×#6414611yescharacteristic
subgroupG/H
centerC2×C4D4×C3⋊D3
commutator, cosocleC2×C32×C4C24
FrattiniC2×C4C23×C3⋊D3
FittingC2×C32×#135C2
socleC22×C32C22×D4
hypercenterC2×#135C3⋊D3
hypocenterC32#3002
LCSG ▷ C2×C32×C4 ▷ C2×C32 ▷ C32
UCSC1 ◁ C2×C4 ◁ C22×C4 ◁ C2×#135

Complements

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

NH ≅ G/Ntype
1. C2×#41×C3⋊D3C2semidirect
2. C2×C32×#135C2semidirect
3. #10596299C2semidirect
4. C2×#64159C2semidirect
5. #10592932C2semidirect
6. #10592886C2semidirect
7. #10592885C2semidirect
8. #10592872C2semidirect
9. #10592871C2semidirect
10. #10592869C2semidirect
11. #10592868C2semidirect
12. #10592857C2semidirect
13. #10592855C2semidirect
14. #10592812C2semidirect
15. C2×#63647C2semidirect
18. C2×C32×#41C22semidirect
32. C2×C32×Q16C22semidirect
33. C2×C32×SD16C22semidirect
34. C2×C32×SD16C22semidirect
35. C2×C32×D8C22semidirect
36. C22×C32×C8C22semidirect
39. #64155C22semidirect
40. C2×#3756C22semidirect
41. C2×#3755C22semidirect
43. #64147C22semidirect
46. C2×#3754C22semidirect
47. C2×#3753C22semidirect
50. #64135C22semidirect
51. C22×C3⋊(C3⋊C8)C22semidirect
52. #63662C22semidirect
53. #63662C22semidirect
54. #63659C22semidirect
55. #63659C22semidirect
56. #63648C22semidirect
57. #63648C22semidirect
60. #63647C22semidirect
61. #63647C22semidirect
62. #63643C22semidirect
63. #63643C22semidirect
65. C2×C3×#135D3semidirect
84. C32×#41D4semidirect
113. #3828D4semidirect
154. C2×C3×#41C2×D3semidirect
168. C2×C3×Q16C2×D3semidirect
169. C2×C3×SD16C2×D3semidirect
170. C2×C3×SD16C2×D3semidirect
171. C2×C3×D8C2×D3semidirect
172. C22×C3×C8C2×D3semidirect
263. C2×#135C3⋊D3semidirect
281. C3×#41#67semidirect
369. C2×C3⋊D3#135semidirect
388. C2×#41C2×C3⋊D3semidirect
397. C2×Q16C2×C3⋊D3semidirect
400. C2×SD16C2×C3⋊D3semidirect
401. C2×SD16C2×C3⋊D3semidirect
403. C2×D8C2×C3⋊D3semidirect
405. C22×C8C2×C3⋊D3semidirect
510. #41#638semidirect
601. C32#3002semidirect
703. C3#83911semidirect

Maximal subgroups

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

subgroupindex
C2×#41×C3⋊D32
C2×C32×#1352
#105962992
C2×#641592
#105929322
#105928862
#105928852
#105928722
#105928712
#105928692
#105928682
#105928572
#105928552
#105928122
C2×#636472
#839113