Finite Group Databasebeta

← C2×#11722854 #13170611

Subgroups — C2×#11722854 #13170611

Order 1728.

1394 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×#89021C211yesmaximal, characteristic, complemented
2C2×C3×#3795C211yesmaximal, characteristic, complemented
3C2×#88811C211yesmaximal, characteristic, complemented
4C2×#88800C211yesmaximal, characteristic, complemented
5C2×#88794C211yesmaximal, characteristic, complemented
6C2×C3×#3714C211yesmaximal, characteristic, complemented
7C2×C3×D3×C3⋊C8C211yesmaximal, characteristic, complemented
8#11722854C218yesmaximal, direct product factor
9C2×#63933—31nomaximal
10C2×#63829—31nomaximal
11C2×#63807—31nomaximal
12C2×#6308C2211yescharacteristic
13C2×C3×C4⋊(C3⋊D3)C2211yescharacteristic
14C2×C3×#634C2211yescharacteristic
15C2×C32×D12C2211yescharacteristic
16C2×C32×C4×D3C2211yescharacteristic
17C2×#6290—21no—
18C2×Dic3×C3⋊D3—21no—
19#89021—22no—
20#89021C2214yescomplemented
21C2×C3×#625—21no—
22C2×C3×D3×Dic3—21no—
23C3×#3795—22no—
24C3×#3795C2214yescomplemented
25C2×C3×C3⋊(C3⋊C8)C2211yescharacteristic
26C2×C32×C3⋊C8C2211yescharacteristic
27#88811C2214yescomplemented
28#88800C2214yescomplemented
29#88794C2214yescomplemented
30C3×#3714C2214yescomplemented
31C3×D3×C3⋊C8C2214yescomplemented
32C2×#3828—31no—
33C2×C3×#237—31no—
34C2×C3×#235—31no—
35C2×#3795—31no—
36C2×#3795—31no—
37C2×#3795—61no—
38C2×#3795D311yescharacteristic, complemented
39C2×#3754—31no—
40C2×#3746—31no—
41C2×C3×#213—31no—
42C22×C3×C3⋊C8—31no—
43C2×C3×D24—31no—
44C2×C3×D3×C8—31no—
45#63933—38no—
46C2×#3719—31no—
47C2×#3719—31no—
48C2×#3719—61no—
49C2×#3717—31no—
50#63829—38no—
51C2×#3716—31no—
52C2×#3716—31no—
53C2×#3716—31no—
54C2×#3716—61no—
55C2×#3715—31no—
56C2×#3714D311yescharacteristic, complemented
57C2×D3×C3⋊C8D311yescharacteristic, complemented
58#63807—38no—
59C22×C3×C3⋊D3—21no—
60C22×C32×D3—21no—
61C22×C32×D3D411yescharacteristic
62C2×C33×C4C2311yescharacteristic
63C2×C3⋊(C3⋊Dic3)—21no—
64#6308—21no—
65#6308C2312yes—
66C2×C3×C3⋊Dic3—21no—
67C3×C4⋊(C3⋊D3)—21no—
68C3×C4⋊(C3⋊D3)C2312yes—
69C3×#634—21no—
70C3×#634C2312yes—
71C2×C32×Dic3D411yescharacteristic
72C32×D12—21no—
73C32×D12C2312yes—
74C32×C4×D3D412yes—
75C32×C4×D3C2312yes—
76#6290—24no—
77Dic3×C3⋊D3—24no—
78C3×#625—24no—
79C3×D3×Dic3—24no—
80C3×C3⋊(C3⋊C8)C2312yes—
81C32×C3⋊C8C2312yes—
82C2×#950—91no—
83C2×#912—91no—
84C2×#904—91no—
85C2×C32×D4—31no—
86C22×C32×C4—31no—
87C2×#638—61no—
88#3828—34no—
89#3828—62no—
90C2×C4⋊(C3⋊D3)C2×D311yescharacteristic
91C2×C4×C3⋊D3—61no—
92C2×#634—31no—
93C2×#634—31no—
94C2×#634—31no—
95C2×#634—61no—
96C2×#634—61no—
97C2×#634—61no—
98C2×#634—121no—
99C2×#634C2×D311yescharacteristic
100C2×C3×#67—61no—
101C2×C3×#67—61no—
102C22×C3×Dic3—61no—
103C3×#237—34no—
104C3×#237—62no—
105C3×#235—34no—
106C3×#235—62no—
107C2×C3×D12—21no—
108C2×C3×D12—31no—
109C2×C3×D12—31no—
110C2×C3×D12—61no—
111C2×C3×D12C2×D311yescharacteristic
112C2×C3×D12C2×D311yescharacteristic
113C2×C3×C4×D3—21no—
114C2×C3×C4×D3—61no—
115C2×C3×C4×D3C2×D311yescharacteristic
116C2×C3×C4×D3C2×D311yescharacteristic
117C2×C3×Dic6—31no—
118C2×C3×Dic6—31no—
119C2×C3×Dic6—61no—
120C2×#625—21no—
121C2×#625—62no—
122C2×#625—61no—
123C2×#625—61no—
124C2×D3×Dic3—21no—
125C2×D3×Dic3—62no—
126C2×D3×Dic3—61no—
127C2×D3×Dic3—61no—
128#3795—22no—
129#3795—34no—
130#3795—34no—
131#3795—64no—
132#3795—64no—
133#3795—62no—
134#3795—62no—
135#3795C2×D314yescomplemented
136C2×C32×C8—31no—
137#3754—34no—
138C2×C3⋊(C3⋊C8)C2×D311yescharacteristic
139#3746—34no—
140C3×#213—34no—
141C2×C3×C3⋊C8—21no—
142C2×C3×C3⋊C8—31no—
143C2×C3×C3⋊C8—31no—
144C2×C3×C3⋊C8—34no—
145C2×C3×C3⋊C8—61no—
146C2×C3×C3⋊C8C2×D311yescharacteristic
147C2×C3×C3⋊C8C2×D311yescharacteristic
148C3×D24—34no—
149C3×D3×C8—34no—
150#3719—34no—
151#3719—34no—
152#3719—64no—
153#3717—34no—
154#3716—34no—
155#3716—34no—
156#3716—34no—
157#3716—64no—
158#3715—34no—
159#3714C2×D314yescomplemented
160D3×C3⋊C8C2×D314yescomplemented
161C22×C33C2×D411yescharacteristic
162C2×C3×C3⋊D3—22no—
163C2×C3×C3⋊D3—42no—
164C2×C32×D3—22no—
165C2×C32×D3—22no—
166C2×C32×D3—42no—
167C2×C32×D3C2×D412yes—
168C33×C4C2×D411yescharacteristic
169C33×C4C2411yescharacteristic
170C3⋊(C3⋊Dic3)—22no—
171C3×C3⋊Dic3—22no—
172C32×Dic3C2×D412yes—
173C2×C3×#41—91no—
174C2×#237—31no—
175C2×#237—91no—
176C2×#235—31no—
177C2×#235—91no—
178C2×#235—91no—
179C2×#235—181no—
180C2×C3×D8—91no—
181C22×C3×C8—91no—
182#950—98no—
183C2×#216—91no—
184C2×#215—91no—
185C2×#214—91no—
186C2×#214—91no—
187C2×#214—91no—
188C2×#214—181no—
189C2×#213—31no—
190C22×C3⋊C8—31no—
191#912—98no—
192C2×Dic12—91no—
193C2×Dic12—91no—
194C2×Dic12—181no—
195#904—98no—
196C2×D24—31no—
197C2×#204—91no—
198C2×#204—91no—
199C2×D3×C8—31no—
200C23×C32—31no—
201C23×C32—61no—
202C22×C3⋊D3—21no—
203C22×C3×D3—21no—
204C22×C3×D3—21no—
205C22×C3×D3—21no—
206C22×C3×D3—41no—
207C22×C3×D3—62no—
208C22×C3×D3—61no—
209C22×C3×D3—61no—
210C22×C3×D3D1211yescharacteristic
211C22×C3×D3#6711yescharacteristic
212C32×D4—32no—
213C32×D4—61no—
214C2×C32×C4—21no—
215C2×C32×C4—21no—
216C2×C32×C4—21no—
217C2×C32×C4—31no—
218C2×C32×C4—32no—
219C2×C32×C4—32no—
220C2×C32×C4—41no—
221C2×C32×C4C22×D311yescharacteristic
222C2×C32×C4C22×D311yescharacteristic
223C2×C32×C4C22×D311yescharacteristic
224#638—64no—
225C2×C3⋊Dic3—21no—
226C2×C3⋊Dic3—61no—
227C2×C3⋊Dic3—62no—
228C2×C3⋊Dic3—61no—
229C2×C3⋊Dic3—61no—
230C2×C3⋊Dic3—121no—
231C2×C3⋊Dic3—121no—
232C2×C3⋊Dic3—122no—
233C4⋊(C3⋊D3)—21no—
234C4⋊(C3⋊D3)C22×D312yes—
235C4×C3⋊D3—64no—
236#634—21no—
237#634—32no—
238#634—32no—
239#634—32no—
240#634—62no—
241#634—62no—
242#634—62no—
243#634—61no—
244#634—62no—
245#634—61no—
246#634—61no—
247#634—122no—
248#634—121no—
249#634—121no—
250#634—122no—
251#634C22×D312yes—
252C3×#67—64no—
253C3×#67—64no—
254C2×C3×Dic3—21no—
255C2×C3×Dic3—61no—
256C2×C3×Dic3—61no—
257C2×C3×Dic3—64no—
258C2×C3×Dic3—121no—
259C2×C3×Dic3D1211yescharacteristic
260C2×C3×Dic3#6711yescharacteristic
261C3×D12—21no—
262C3×D12—21no—
263C3×D12—22no—
264C3×D12—32no—
265C3×D12—32no—
266C3×D12—41no—
267C3×D12—62no—
268C3×D12—62no—
269C3×D12—61no—
270C3×D12—61no—
271C3×D12C22×D312yes—
272C3×D12C22×D312yes—
273C3×C4×D3—22no—
274C3×C4×D3—22no—
275C3×C4×D3—64no—
276C3×C4×D3D1212yes—
277C3×C4×D3#6712yes—
278C3×C4×D3C22×D312yes—
279C3×C4×D3C22×D312yes—
280C3×Dic6—32no—
281C3×Dic6—32no—
282C3×Dic6—62no—
283C3×Dic6—61no—
284C3×Dic6—61no—
285C3×Dic6—121no—
286#625—24no—
287#625—68no—
288#625—64no—
289#625—64no—
290D3×Dic3—24no—
291D3×Dic3—68no—
292D3×Dic3—64no—
293D3×Dic3—64no—
294C32×C8—32no—
295C3⋊(C3⋊C8)C22×D312yes—
296C3×C3⋊C8—22no—
297C3×C3⋊C8—32no—
298C3×C3⋊C8—32no—
299C3×C3⋊C8—62no—
300C3×C3⋊C8C22×D312yes—
301C3×C3⋊C8C22×D312yes—
302C2×#135—271noSylow
303C2×C33#13512yescomplemented
304C2×C33C22×D411yescharacteristic
305C3×C3⋊D3—42no—
306C32×D3—22no—
307C32×D3—42no—
308C3×#41—94no—
309C3×#41—182no—
310C2×C3×Q8—91no—
311C2×C3×D4—31no—
312C2×C3×D4—31no—
313C2×C3×D4—61no—
314C2×C3×D4—91no—
315C2×C3×D4—181no—
316C22×C3×C4—31no—
317C22×C3×C4—31no—
318C22×C3×C4—61no—
319C22×C3×C4—181no—
320C2×#67—61no—
321C2×#67—61no—
322C2×#67—181no—
323C2×#67—181no—
324C2×#67—182no—
325C2×#67—181no—
326C22×Dic3—61no—
327C22×Dic3—181no—
328#237—34no—
329#237—62no—
330#237—94no—
331#237—182no—
332#235—34no—
333#235—62no—
334#235—94no—
335#235—94no—
336#235—184no—
337#235—182no—
338#235—182no—
339#235—184no—
340C2×D12—31no—
341C2×D12—31no—
342C2×D12—61no—
343C2×D12D3211yescharacteristic
344C2×C4×D3—61no—
345C2×C4×D3—181no—
346C2×C4×D3—181no—
347C2×C4×D3—182no—
348C2×C4×D3D3211yescharacteristic
349C2×Dic6—31no—
350C2×Dic6—31no—
351C2×Dic6—61no—
352C2×Dic6—91no—
353C2×Dic6—91no—
354C2×Dic6—91no—
355C2×Dic6—181no—
356C2×Dic6—181no—
357C2×Dic6—181no—
358C2×Dic6—361no—
359C3×D8—94no—
360C2×C3×C8—31no—
361C2×C3×C8—31no—
362C2×C3×C8—61no—
363C2×C3×C8—94no—
364C2×C3×C8—91no—
365#216—94no—
366#215—94no—
367#214—94no—
368#214—94no—
369#214—94no—
370#214—184no—
371#213—34no—
372C2×C3⋊C8—31no—
373C2×C3⋊C8—31no—
374C2×C3⋊C8—34no—
375C2×C3⋊C8—61no—
376C2×C3⋊C8D3211yescharacteristic
377Dic12—94no—
378Dic12—94no—
379Dic12—184no—
380D24—34no—
381#204—94no—
382#204—94no—
383D3×C8—34no—
384C22×C32—21no—
385C22×C32—21no—
386C22×C32—21no—
387C22×C32—32no—
388C22×C32—41no—
389C22×C32—62no—
390C22×C32—62no—
391C22×C32—122no—
392C22×C32C2×D1211yescharacteristic
393C22×C32D3×D411yescharacteristic
394C22×C32C2×#6711yescharacteristic
395C2×C3⋊D3—22no—
396C2×C3⋊D3—42no—
397C2×C3×D3—22no—
398C2×C3×D3—22no—
399C2×C3×D3—22no—
400C2×C3×D3—22no—
401C2×C3×D3—22no—
402C2×C3×D3—42no—
403C2×C3×D3—42no—
404C2×C3×D3—42no—
405C2×C3×D3—42no—
406C2×C3×D3—64no—
407C2×C3×D3—62no—
408C2×C3×D3—62no—
409C2×C3×D3—82no—
410C2×C3×D3—124no—
411C2×C3×D3—122no—
412C2×C3×D3—122no—
413C2×C3×D3C2×D1212yes—
414C2×C3×D3C2×#6712yes—
415C32×C4—21no—
416C32×C4—21no—
417C32×C4—21no—
418C32×C4—21no—
419C32×C4—21no—
420C32×C4—21no—
421C32×C4—32no—
422C32×C4—41no—
423C32×C4—41no—
424C32×C4C2×D1211yescharacteristic
425C32×C4D3×D411yescharacteristic
426C32×C4C2×#6711yescharacteristic
427C32×C4C23×D311yescharacteristic
428C32×C4C23×D311yescharacteristic
429C32×C4C23×D311yescharacteristic
430C3⋊Dic3—22no—
431C3⋊Dic3—62no—
432C3⋊Dic3—64no—
433C3⋊Dic3—62no—
434C3⋊Dic3—62no—
435C3⋊Dic3—122no—
436C3⋊Dic3—122no—
437C3⋊Dic3—124no—
438C3×Dic3—22no—
439C3×Dic3—62no—
440C3×Dic3—62no—
441C3×Dic3—122no—
442C3×Dic3C2×D1212yes—
443C3×Dic3C2×#6712yes—
444C2×#41—91no—
445C2×#41—271no—
446#135—278no—
447C2×Q16—271no—
448C2×SD16—271no—
449C2×SD16—271no—
450C2×D8—91no—
451C22×C8—91no—
452C33C2×#13511yescharacteristic, complemented, Sylow
453C23×C3—31no—
454C23×C3—31no—
455C23×C3—61no—
456C23×C3—61no—
457C23×C3—61no—
458C23×C3—121no—
459C23×C3—181no—
460C22×D3—21no—
461C22×D3—62no—
462C22×D3—61no—
463C22×D3—61no—
464C22×D3#62611yescharacteristic
465C3×Q8—92no—
466C3×Q8—181no—
467C3×D4—32no—
468C3×D4—32no—
469C3×D4—62no—
470C3×D4—61no—
471C3×D4—61no—
472C3×D4—92no—
473C3×D4—121no—
474C3×D4—184no—
475C3×D4—181no—
476C2×C3×C4—21no—
477C2×C3×C4—21no—
478C2×C3×C4—21no—
479C2×C3×C4—31no—
480C2×C3×C4—31no—
481C2×C3×C4—32no—
482C2×C3×C4—32no—
483C2×C3×C4—32no—
484C2×C3×C4—32no—
485C2×C3×C4—41no—
486C2×C3×C4—62no—
487C2×C3×C4—62no—
488C2×C3×C4—61no—
489C2×C3×C4—184no—
490C2×C3×C4—181no—
491C2×C3×C4C2×D3211yescharacteristic
492C2×C3×C4C2×D3211yescharacteristic
493C2×C3×C4C2×D3211yescharacteristic
494#67—64no—
495#67—64no—
496#67—184no—
497#67—184no—
498#67—188no—
499#67—184no—
500C2×Dic3—61no—
501C2×Dic3—61no—
502C2×Dic3—64no—
503C2×Dic3—121no—
504C2×Dic3—182no—
505C2×Dic3—181no—
506C2×Dic3—181no—
507C2×Dic3—181no—
508C2×Dic3—184no—
509C2×Dic3—361no—
510C2×Dic3—361no—
511C2×Dic3—362no—
512C2×Dic3#62611yescharacteristic
513D12—21no—
514D12—32no—
515D12—32no—
516D12—62no—
517D12—62no—
518D12—61no—
519D12—61no—
520D12C2×D3212yes—
521C4×D3—64no—
522C4×D3—184no—
523C4×D3—184no—
524C4×D3—188no—
525C4×D3#62612yes—
526C4×D3C2×D3212yes—
527Dic6—32no—
528Dic6—32no—
529Dic6—62no—
530Dic6—61no—
531Dic6—61no—
532Dic6—92no—
533Dic6—92no—
534Dic6—92no—
535Dic6—121no—
536Dic6—182no—
537Dic6—182no—
538Dic6—182no—
539Dic6—182no—
540Dic6—181no—
541Dic6—181no—
542Dic6—181no—
543Dic6—362no—
544Dic6—361no—
545Dic6—361no—
546Dic6—362no—
547C3×C8—32no—
548C3×C8—32no—
549C3×C8—62no—
550C3×C8—92no—
551C3⋊C8—32no—
552C3⋊C8—32no—
553C3⋊C8—62no—
554C3⋊C8C2×D3212yes—
555C2×C32—21no—
556C2×C32—22no—
557C2×C32—21no—
558C2×C32—21no—
559C2×C32—22no—
560C2×C32—22no—
561C2×C32—42no—
562C2×C32—41no—
563C2×C32—62no—
564C2×C32—122no—
565C2×C32#90412yescomplemented
566C2×C32#91212yescomplemented
567C2×C32#95012yescomplemented
568C2×C32C22×D1211yescharacteristic
569C2×C32C2×D3×D411yescharacteristic
570C2×C32C22×#6711yescharacteristic
571C3⋊D3—42no—
572C3×D3—22no—
573C3×D3—22no—
574C3×D3—42no—
575C3×D3—42no—
576C3×D3—42no—
577C3×D3—82no—
578C3×D3—124no—
579C3×D3—122no—
580C3×D3—122no—
581#41—94no—
582#41—182no—
583#41—274no—
584#41—542no—
585C2×Q8—91no—
586C2×Q8—271no—
587C2×D4—31no—
588C2×D4—91no—
589C2×D4—181no—
590C2×D4—541no—
591C22×C4—31no—
592C22×C4—181no—
593C22×C4—541no—
594Q16—274no—
595SD16—274no—
596SD16—274no—
597D8—94no—
598C2×C8—31no—
599C2×C8—94no—
600C2×C8—91no—
601C22×C3—21no—
602C22×C3—21no—
603C22×C3—21no—
604C22×C3—32no—
605C22×C3—32no—
606C22×C3—41no—
607C22×C3—62no—
608C22×C3—62no—
609C22×C3—62no—
610C22×C3—62no—
611C22×C3—62no—
612C22×C3—122no—
613C22×C3—122no—
614C22×C3—122no—
615C22×C3—122no—
616C22×C3—182no—
617C22×C3—242no—
618C22×C3—362no—
619C22×C3D3×D1211yescharacteristic
620C22×C3C2×#62611yescharacteristic
621C22×C3D3×#6711yescharacteristic
622C2×D3—22no—
623C2×D3—22no—
624C2×D3—42no—
625C2×D3—64no—
626C2×D3—62no—
627C2×D3—62no—
628C2×D3—124no—
629C2×D3—122no—
630C2×D3—122no—
631C2×D3C2×#62612yes—
632C3×C4—21no—
633C3×C4—21no—
634C3×C4—21no—
635C3×C4—21no—
636C3×C4—21no—
637C3×C4—21no—
638C3×C4—32no—
639C3×C4—32no—
640C3×C4—41no—
641C3×C4—41no—
642C3×C4—62no—
643C3×C4—182no—
644C3×C4D3×D1211yescharacteristic
645C3×C4C2×#62611yescharacteristic
646C3×C4D3×#6711yescharacteristic
647C3×C4C22×D3211yescharacteristic
648C3×C4C22×D3211yescharacteristic
649C3×C4C22×D3211yescharacteristic
650Dic3—62no—
651Dic3—62no—
652Dic3—122no—
653Dic3—184no—
654Dic3—182no—
655Dic3—182no—
656Dic3—182no—
657Dic3—362no—
658Dic3—362no—
659Dic3—364no—
660Dic3C2×#62612yes—
661C32—21no—
662C32—21no—
663C32—21no—
664C32—41no—
665C32C2×#90411yescharacteristic, complemented
666C32C2×#91211yescharacteristic, complemented
667C32C2×#95011yescharacteristic, complemented
668C23—31no—
669C23—61no—
670C23—181no—
671Q8—92no—
672Q8—181no—
673Q8—272no—
674Q8—541no—
675D4—32no—
676D4—61no—
677D4—92no—
678D4—184no—
679D4—181no—
680D4—544no—
681C2×C4—31no—
682C2×C4—32no—
683C2×C4—32no—
684C2×C4—184no—
685C2×C4—181no—
686C2×C4—544no—
687C2×C4—541no—
688C2×C4D3311yescharacteristic
689C8—32no—
690C8—92no—
691C2×C3—22no—
692C2×C3—22no—
693C2×C3—22no—
694C2×C3—21no—
695C2×C3—21no—
696C2×C3—21no—
697C2×C3—42no—
698C2×C3—41no—
699C2×C3—62no—
700C2×C3—62no—
701C2×C3—122no—
702C2×C3—122no—
703C2×C3—122no—
704C2×C3—242no—
705C2×C3—362no—
706C2×C3#6380712yescomplemented
707C2×C3#6382912yescomplemented
708C2×C3#6393312yescomplemented
709C2×C3C2×D3×D1211yescharacteristic
710C2×C3C22×#62611yescharacteristic
711C2×C3C2×D3×#6711yescharacteristic
712D3—22no—
713D3—42no—
714D3—124no—
715D3—122no—
716D3—122no—
717C22—32no—
718C22—62no—
719C22—62no—
720C22—122no—
721C22—182no—
722C22—362no—
723C22D3×#62611yescharacteristic
724C4—32no—
725C4—182no—
726C4—542no—
727C4D3×#62611yescharacteristic
728C4C2×D3311yescharacteristic
729C3—21no—
730C3—21no—
731C3—21no—
732C3—41no—
733C3C2×#6380711yescharacteristic, complemented
734C3C2×#6382911yescharacteristic, complemented
735C3C2×#6393311yescharacteristic, complemented
736C2—62no—
737C2—122no—
738C2—362no—
739C2#1172285412yesdirect product factor
740C2C2×D3×#62611yescharacteristic
subgroupG/H
centerC22D3×#626
commutator, cosocleC33×C4C24
FrattiniC4C2×D33
FittingC2×C33×C4C23
socleC22×C33C2×D4
hypercenterC2×C4D33
hypocenterC33C2×#135
LCSG ▷ C33×C4 ▷ C2×C33 ▷ C33
UCSC1 ◁ C22 ◁ C2×C4

Complements

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

NH ≅ G/Ntype
1. C2×#89021C2semidirect
2. C2×C3×#3795C2semidirect
3. C2×#88811C2semidirect
4. C2×#88800C2semidirect
5. C2×#88794C2semidirect
6. C2×C3×#3714C2semidirect
7. C2×C3×D3×C3⋊C8C2semidirect
8. #11722854C2direct (N × H)
20. #89021C22semidirect
24. C3×#3795C22semidirect
27. #88811C22semidirect
28. #88800C22semidirect
29. #88794C22semidirect
30. C3×#3714C22semidirect
31. C3×D3×C3⋊C8C22semidirect
38. C2×#3795D3semidirect
56. C2×#3714D3semidirect
57. C2×D3×C3⋊C8D3semidirect
135. #3795C2×D3semidirect
159. #3714C2×D3semidirect
160. D3×C3⋊C8C2×D3semidirect
303. C2×C33#135semidirect
452. C33C2×#135semidirect
565. C2×C32#904semidirect
566. C2×C32#912semidirect
567. C2×C32#950semidirect
665. C32C2×#904semidirect
666. C32C2×#912semidirect
667. C32C2×#950semidirect
706. C2×C3#63807semidirect
707. C2×C3#63829semidirect
708. C2×C3#63933semidirect
733. C3C2×#63807semidirect
734. C3C2×#63829semidirect
735. C3C2×#63933semidirect
739. C2#11722854direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#890212
C2×C3×#37952
C2×#888112
C2×#888002
C2×#887942
C2×C3×#37142
C2×C3×D3×C3⋊C82
#117228542
C2×#639333
C2×#638293
C2×#638073