Finite Group Databasebeta

← C2×#11722864 #13170636

Subgroups — C2×#11722864 #13170636

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×#89041C211yesmaximal, characteristic, complemented
2C2×#89014C211yesmaximal, characteristic, complemented
3C2×#88800C211yesmaximal, characteristic, complemented
4C2×#88796C211yesmaximal, characteristic, complemented
5C2×C3×#3716C211yesmaximal, characteristic, complemented
6C2×C3×#3714C211yesmaximal, characteristic, complemented
7C2×C3×#3710C211yesmaximal, characteristic, complemented
8#11722864C218yesmaximal, direct product factor
9C2×#63936—31nomaximal
10C2×#63807—31nomaximal
11C2×#63806—31nomaximal
12C2×#6308C2211yescharacteristic
13C2×C3×C4⋊(C3⋊D3)C2211yescharacteristic
14C2×C3×C4×C3⋊D3C2211yescharacteristic
15C2×C3×#634C2211yescharacteristic
16C2×C32×D12C2211yescharacteristic
17C2×#6295—21no—
18C2×#6294—21no—
19#89041—22no—
20#89041C2214yescomplemented
21C2×#6290—21no—
22C2×D3×C3⋊Dic3—21no—
23#89014—22no—
24#89014C2214yescomplemented
25C2×C32×C3⋊C8C2211yescharacteristic
26C2×C32×C3⋊C8C2211yescharacteristic
27#88800C2214yescomplemented
28#88796C2214yescomplemented
29C3×#3716C2214yescomplemented
30C3×#3714C2214yescomplemented
31C3×#3710C2214yescomplemented
32C2×#3830—31no—
33C2×#3799—31no—
34C2×#3796—31no—
35C2×#3795—31no—
36C2×#3795—31no—
37C2×#3795—31no—
38C2×#3795—61no—
39C2×#3746—31no—
40C2×#3744—31no—
41C2×C3×#214—31no—
42C2×C3×#213—31no—
43C2×C3×D24—31no—
44C2×C3×#204—31no—
45C2×C3×D3×C8—31no—
46C2×C3×D3×C8—31no—
47#63936—38no—
48C2×#3719—31no—
49C2×#3719—31no—
50C2×#3719—61no—
51C2×#3716—31no—
52C2×#3716—31no—
53C2×#3716—61no—
54C2×#3716D311yescharacteristic, complemented
55C2×#3714D311yescharacteristic, complemented
56C2×#3710D311yescharacteristic, complemented
57#63807—38no—
58#63806—38no—
59C22×C3×C3⋊D3—21no—
60C22×C3×C3⋊D3D411yescharacteristic
61C22×C32×D3—21no—
62C2×C33×C4C2311yescharacteristic
63C2×C3⋊(C3⋊Dic3)—21no—
64#6308—21no—
65#6308C2312yes—
66C2×C3×C3⋊Dic3—21no—
67C2×C3×C3⋊Dic3D411yescharacteristic
68C3×C4⋊(C3⋊D3)—21no—
69C3×C4⋊(C3⋊D3)C2312yes—
70C3×C4×C3⋊D3D412yes—
71C3×C4×C3⋊D3C2312yes—
72C3×#634—21no—
73C3×#634C2312yes—
74C32×D12—21no—
75C32×D12C2312yes—
76#6295—24no—
77#6294—24no—
78#6290—24no—
79D3×C3⋊Dic3—24no—
80C32×C3⋊C8C2312yes—
81C32×C3⋊C8C2312yes—
82C2×#916—91no—
83C2×#912—91no—
84C2×#904—91no—
85C2×C32×D4—31no—
86C2×#638—61no—
87C22×C3⋊Dic3—61no—
88#3830—34no—
89#3830—62no—
90C2×C4⋊(C3⋊D3)C2×D311yescharacteristic
91C2×C4×C3⋊D3C2×D311yescharacteristic
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×D12—21no—
101C2×C3×D12—31no—
102C2×C3×D12—31no—
103C2×C3×D12—61no—
104C2×C3×D12C2×D311yescharacteristic
105C2×C3×D12C2×D311yescharacteristic
106C2×C3×C4×D3—31no—
107C2×C3×C4×D3—31no—
108C2×C3×C4×D3—61no—
109C2×C3×Dic6—31no—
110C2×C3×Dic6—31no—
111C2×C3×Dic6—61no—
112C2×#626—61no—
113C2×#626—61no—
114C2×#625—61no—
115C2×#625—61no—
116C2×#625—61no—
117C2×#625—62no—
118C2×#624—61no—
119C2×D3×Dic3—61no—
120C2×D3×Dic3—61no—
121C2×D3×Dic3—61no—
122C2×D3×Dic3—62no—
123C2×D3×Dic3—61no—
124#3799—34no—
125#3799—62no—
126#3796—34no—
127#3796—62no—
128#3795—34no—
129#3795—34no—
130#3795—34no—
131#3795—62no—
132#3795—62no—
133#3795—62no—
134#3795—64no—
135#3795—64no—
136C2×C32×C8—31no—
137C2×C32×C8—31no—
138#3746—34no—
139#3744—34no—
140C3×#214—34no—
141C3×#213—34no—
142C2×C3×C3⋊C8—21no—
143C2×C3×C3⋊C8—21no—
144C2×C3×C3⋊C8C2×D311yescharacteristic
145C2×C3×C3⋊C8C2×D311yescharacteristic
146C2×C3×C3⋊C8C2×D311yescharacteristic
147C2×C3×C3⋊C8C2×D311yescharacteristic
148C3×D24—34no—
149C3×#204—34no—
150C3×D3×C8—34no—
151C3×D3×C8—34no—
152#3719—34no—
153#3719—34no—
154#3719—64no—
155#3716—34no—
156#3716—34no—
157#3716—64no—
158#3716C2×D314yescomplemented
159#3714C2×D314yescomplemented
160#3710C2×D314yescomplemented
161C22×C33C2×D411yescharacteristic
162C2×C3×C3⋊D3—22no—
163C2×C3×C3⋊D3—22no—
164C2×C3×C3⋊D3—42no—
165C2×C3×C3⋊D3C2×D412yes—
166C2×C32×D3—22no—
167C2×C32×D3—42no—
168C33×C4C2×D411yescharacteristic
169C33×C4C2411yescharacteristic
170C3⋊(C3⋊Dic3)—22no—
171C3×C3⋊Dic3—22no—
172C3×C3⋊Dic3C2×D412yes—
173C2×#239—91no—
174C2×#237—91no—
175C2×#237—91no—
176C2×#237—91no—
177C2×#237—181no—
178C2×#235—91no—
179C2×#235—91no—
180C2×C3×SD16—91no—
181C2×C3×D8—91no—
182C22×C3×C8—91no—
183C2×#216—91no—
184C2×#214—31no—
185C2×#214—91no—
186C2×#213—31no—
187#916—98no—
188#912—98no—
189C2×Dic12—91no—
190C2×Dic12—91no—
191C2×Dic12—181no—
192#904—98no—
193C2×D24—31no—
194C2×#204—31no—
195C2×#204—91no—
196C2×#204—91no—
197C2×#204—181no—
198C2×D3×C8—31no—
199C2×D3×C8—31no—
200C23×C32—61no—
201C22×C3⋊D3—21no—
202C22×C3⋊D3D1211yescharacteristic
203C22×C3×D3—22no—
204C22×C3×D3—21no—
205C22×C3×D3—21no—
206C22×C3×D3—31no—
207C22×C3×D3—31no—
208C22×C3×D3—61no—
209C22×C3×D3—61no—
210C22×C3×D3—61no—
211C22×C3×D3—121no—
212C32×D4—32no—
213C32×D4—61no—
214C2×C32×C4—21no—
215C2×C32×C4—21no—
216C2×C32×C4—21no—
217C2×C32×C4—41no—
218C2×C32×C4C22×D311yescharacteristic
219C2×C32×C4C22×D311yescharacteristic
220C2×C32×C4C22×D311yescharacteristic
221#638—64no—
222C2×C3⋊Dic3—21no—
223C2×C3⋊Dic3—61no—
224C2×C3⋊Dic3—64no—
225C2×C3⋊Dic3—62no—
226C2×C3⋊Dic3—61no—
227C2×C3⋊Dic3—61no—
228C2×C3⋊Dic3—121no—
229C2×C3⋊Dic3—121no—
230C2×C3⋊Dic3—122no—
231C2×C3⋊Dic3D1211yescharacteristic
232C4⋊(C3⋊D3)—21no—
233C4⋊(C3⋊D3)C22×D312yes—
234C4×C3⋊D3D1212yes—
235C4×C3⋊D3C22×D312yes—
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—
252C2×C3×Dic3—31no—
253C2×C3×Dic3—31no—
254C2×C3×Dic3—61no—
255C2×C3×Dic3—61no—
256C2×C3×Dic3—61no—
257C2×C3×Dic3—121no—
258C3×D12—22no—
259C3×D12—21no—
260C3×D12—21no—
261C3×D12—22no—
262C3×D12—32no—
263C3×D12—32no—
264C3×D12—62no—
265C3×D12—61no—
266C3×D12—61no—
267C3×D12—121no—
268C3×D12C22×D312yes—
269C3×D12C22×D312yes—
270C3×C4×D3—32no—
271C3×C4×D3—32no—
272C3×C4×D3—32no—
273C3×C4×D3—32no—
274C3×C4×D3—62no—
275C3×C4×D3—62no—
276C3×Dic6—32no—
277C3×Dic6—32no—
278C3×Dic6—62no—
279C3×Dic6—61no—
280C3×Dic6—61no—
281C3×Dic6—121no—
282#626—64no—
283#626—64no—
284#625—64no—
285#625—64no—
286#625—64no—
287#625—68no—
288#624—64no—
289D3×Dic3—64no—
290D3×Dic3—64no—
291D3×Dic3—64no—
292D3×Dic3—68no—
293D3×Dic3—64no—
294C32×C8—32no—
295C32×C8—32no—
296C3×C3⋊C8—22no—
297C3×C3⋊C8—22no—
298C3×C3⋊C8C22×D312yes—
299C3×C3⋊C8C22×D312yes—
300C3×C3⋊C8C22×D312yes—
301C3×C3⋊C8C22×D312yes—
302C2×#135—271noSylow
303C2×C33#13512yescomplemented
304C2×C33C22×D411yescharacteristic
305C3×C3⋊D3—22no—
306C3×C3⋊D3—42no—
307C32×D3—42no—
308C2×C3×Q8—91no—
309C2×C3×D4—31no—
310C2×C3×D4—31no—
311C2×C3×D4—61no—
312C2×C3×D4—91no—
313C22×C3×C4—91no—
314C2×#67—181no—
315C2×#67—181no—
316C2×#67—181no—
317C2×#67—181no—
318C2×#67—181no—
319C2×#67—182no—
320C22×Dic3—181no—
321C22×Dic3—181no—
322C22×Dic3—181no—
323C22×Dic3—182no—
324#239—94no—
325#239—182no—
326#237—94no—
327#237—94no—
328#237—94no—
329#237—184no—
330#237—182no—
331#237—182no—
332#237—182no—
333#237—184no—
334#235—94no—
335#235—94no—
336#235—182no—
337#235—182no—
338C2×D12—31no—
339C2×D12—31no—
340C2×D12—61no—
341C2×D12—181no—
342C2×D12D3211yescharacteristic
343C2×C4×D3—31no—
344C2×C4×D3—31no—
345C2×C4×D3—61no—
346C2×C4×D3—181no—
347C2×C4×D3—181no—
348C2×C4×D3—181no—
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×SD16—94no—
360C3×D8—94no—
361C2×C3×C8—31no—
362C2×C3×C8—31no—
363C2×C3×C8—31no—
364C2×C3×C8—31no—
365C2×C3×C8—61no—
366C2×C3×C8—61no—
367C2×C3×C8—94no—
368#216—94no—
369#214—34no—
370#214—94no—
371#213—34no—
372C2×C3⋊C8D3211yescharacteristic
373C2×C3⋊C8D3211yescharacteristic
374Dic12—94no—
375Dic12—94no—
376Dic12—184no—
377D24—34no—
378#204—34no—
379#204—94no—
380#204—94no—
381#204—184no—
382D3×C8—34no—
383D3×C8—34no—
384C22×C32—21no—
385C22×C32—21no—
386C22×C32—21no—
387C22×C32—41no—
388C22×C32—62no—
389C22×C32—122no—
390C22×C32C2×D1211yescharacteristic
391C22×C32D3×D411yescharacteristic
392C22×C32D3×D411yescharacteristic
393C2×C3⋊D3—22no—
394C2×C3⋊D3—22no—
395C2×C3⋊D3—42no—
396C2×C3⋊D3C2×D1212yes—
397C2×C3×D3—24no—
398C2×C3×D3—22no—
399C2×C3×D3—22no—
400C2×C3×D3—32no—
401C2×C3×D3—32no—
402C2×C3×D3—44no—
403C2×C3×D3—42no—
404C2×C3×D3—42no—
405C2×C3×D3—62no—
406C2×C3×D3—62no—
407C2×C3×D3—62no—
408C2×C3×D3—62no—
409C2×C3×D3—62no—
410C2×C3×D3—122no—
411C2×C3×D3—122no—
412C2×C3×D3—122no—
413C2×C3×D3—122no—
414C2×C3×D3—242no—
415C32×C4—21no—
416C32×C4—21no—
417C32×C4—21no—
418C32×C4—21no—
419C32×C4—21no—
420C32×C4—21no—
421C32×C4—41no—
422C32×C4—41no—
423C32×C4C2×D1211yescharacteristic
424C32×C4D3×D411yescharacteristic
425C32×C4D3×D411yescharacteristic
426C32×C4C23×D311yescharacteristic
427C32×C4C23×D311yescharacteristic
428C32×C4C23×D311yescharacteristic
429C3⋊Dic3—22no—
430C3⋊Dic3—62no—
431C3⋊Dic3—64no—
432C3⋊Dic3—62no—
433C3⋊Dic3—62no—
434C3⋊Dic3—122no—
435C3⋊Dic3—122no—
436C3⋊Dic3—124no—
437C3⋊Dic3C2×D1212yes—
438C3×Dic3—32no—
439C3×Dic3—32no—
440C3×Dic3—62no—
441C3×Dic3—62no—
442C3×Dic3—62no—
443C3×Dic3—122no—
444C2×#41—271no—
445C2×#41—271no—
446#135—278no—
447C2×Q16—271no—
448C2×SD16—91no—
449C2×SD16—271no—
450C2×D8—91no—
451C22×C8—91no—
452C33C2×#13511yescharacteristic, complemented, Sylow
453C23×C3—62no—
454C23×C3—61no—
455C23×C3—61no—
456C23×C3—91no—
457C23×C3—181no—
458C22×D3—21no—
459C22×D3—31no—
460C22×D3—31no—
461C22×D3—61no—
462C22×D3—61no—
463C22×D3—61no—
464C22×D3—121no—
465C3×Q8—92no—
466C3×Q8—181no—
467C3×D4—32no—
468C3×D4—32no—
469C3×D4—62no—
470C3×D4—62no—
471C3×D4—61no—
472C3×D4—61no—
473C3×D4—92no—
474C3×D4—181no—
475C2×C3×C4—21no—
476C2×C3×C4—21no—
477C2×C3×C4—21no—
478C2×C3×C4—41no—
479C2×C3×C4—91no—
480C2×C3×C4—92no—
481C2×C3×C4—92no—
482C2×C3×C4—181no—
483C2×C3×C4C2×D3211yescharacteristic
484C2×C3×C4C2×D3211yescharacteristic
485C2×C3×C4C2×D3211yescharacteristic
486#67—184no—
487#67—184no—
488#67—184no—
489#67—184no—
490#67—184no—
491#67—188no—
492C2×Dic3—31no—
493C2×Dic3—31no—
494C2×Dic3—61no—
495C2×Dic3—61no—
496C2×Dic3—61no—
497C2×Dic3—121no—
498C2×Dic3—184no—
499C2×Dic3—184no—
500C2×Dic3—184no—
501C2×Dic3—188no—
502C2×Dic3—182no—
503C2×Dic3—181no—
504C2×Dic3—181no—
505C2×Dic3—181no—
506C2×Dic3—361no—
507C2×Dic3—361no—
508C2×Dic3—362no—
509D12—21no—
510D12—32no—
511D12—32no—
512D12—62no—
513D12—61no—
514D12—61no—
515D12—121no—
516D12—184no—
517D12C2×D3212yes—
518C4×D3—32no—
519C4×D3—32no—
520C4×D3—32no—
521C4×D3—32no—
522C4×D3—62no—
523C4×D3—62no—
524C4×D3—184no—
525C4×D3—184no—
526C4×D3—184no—
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—32no—
550C3×C8—32no—
551C3×C8—62no—
552C3×C8—62no—
553C3⋊C8C2×D3212yes—
554C3⋊C8C2×D3212yes—
555C2×C32—21no—
556C2×C32—21no—
557C2×C32—22no—
558C2×C32—22no—
559C2×C32—21no—
560C2×C32—22no—
561C2×C32—42no—
562C2×C32—41no—
563C2×C32—122no—
564C2×C32#90412yescomplemented
565C2×C32#91212yescomplemented
566C2×C32#91612yescomplemented
567C2×C32C22×D1211yescharacteristic
568C2×C32C2×D3×D411yescharacteristic
569C2×C32C2×D3×D411yescharacteristic
570C3⋊D3—22no—
571C3⋊D3—42no—
572C3×D3—44no—
573C3×D3—42no—
574C3×D3—42no—
575C3×D3—62no—
576C3×D3—62no—
577C3×D3—122no—
578C3×D3—122no—
579C3×D3—122no—
580C3×D3—242no—
581#41—274no—
582#41—274no—
583#41—542no—
584#41—542no—
585C2×Q8—91no—
586C2×Q8—271no—
587C2×D4—31no—
588C2×D4—91no—
589C2×D4—541no—
590C2×D4—541no—
591C22×C4—91no—
592C22×C4—541no—
593C22×C4—541no—
594Q16—274no—
595SD16—94no—
596SD16—274no—
597D8—94no—
598C2×C8—31no—
599C2×C8—31no—
600C2×C8—94no—
601C22×C3—21no—
602C22×C3—21no—
603C22×C3—21no—
604C22×C3—41no—
605C22×C3—64no—
606C22×C3—62no—
607C22×C3—62no—
608C22×C3—92no—
609C22×C3—124no—
610C22×C3—122no—
611C22×C3—122no—
612C22×C3—182no—
613C22×C3—182no—
614C22×C3—362no—
615C22×C3D3×D1211yescharacteristic
616C22×C3D3×D1211yescharacteristic
617C22×C3#381111yescharacteristic
618C2×D3—22no—
619C2×D3—32no—
620C2×D3—32no—
621C2×D3—42no—
622C2×D3—62no—
623C2×D3—62no—
624C2×D3—62no—
625C2×D3—62no—
626C2×D3—62no—
627C2×D3—122no—
628C2×D3—122no—
629C2×D3—122no—
630C2×D3—122no—
631C2×D3—242no—
632C3×C4—21no—
633C3×C4—21no—
634C3×C4—21no—
635C3×C4—21no—
636C3×C4—21no—
637C3×C4—21no—
638C3×C4—41no—
639C3×C4—41no—
640C3×C4—92no—
641C3×C4—182no—
642C3×C4D3×D1211yescharacteristic
643C3×C4D3×D1211yescharacteristic
644C3×C4#381111yescharacteristic
645C3×C4C22×D3211yescharacteristic
646C3×C4C22×D3211yescharacteristic
647C3×C4C22×D3211yescharacteristic
648Dic3—32no—
649Dic3—32no—
650Dic3—62no—
651Dic3—62no—
652Dic3—62no—
653Dic3—122no—
654Dic3—184no—
655Dic3—182no—
656Dic3—182no—
657Dic3—182no—
658Dic3—362no—
659Dic3—362no—
660Dic3—364no—
661C32—21no—
662C32—21no—
663C32—21no—
664C32—41no—
665C32C2×#90411yescharacteristic, complemented
666C32C2×#91211yescharacteristic, complemented
667C32C2×#91611yescharacteristic, complemented
668C23—61no—
669C23—91no—
670C23—181no—
671Q8—92no—
672Q8—181no—
673Q8—272no—
674Q8—541no—
675D4—32no—
676D4—61no—
677D4—92no—
678D4—181no—
679D4—544no—
680D4—544no—
681C2×C4—91no—
682C2×C4—92no—
683C2×C4—92no—
684C2×C4—181no—
685C2×C4—544no—
686C2×C4—544no—
687C2×C4—541no—
688C2×C4D3311yescharacteristic
689C8—32no—
690C8—32no—
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—124no—
700C2×C3—122no—
701C2×C3—122no—
702C2×C3—182no—
703C2×C3—362no—
704C2×C3#6380612yescomplemented
705C2×C3#6380712yescomplemented
706C2×C3#6393612yescomplemented
707C2×C3C2×D3×D1211yescharacteristic
708C2×C3C2×D3×D1211yescharacteristic
709C2×C3C2×#381111yescharacteristic
710D3—42no—
711D3—62no—
712D3—62no—
713D3—122no—
714D3—122no—
715D3—122no—
716D3—242no—
717C22—62no—
718C22—92no—
719C22—122no—
720C22—182no—
721C22—182no—
722C22—362no—
723C22#8895511yescharacteristic
724C4—92no—
725C4—182no—
726C4—542no—
727C4#8895511yescharacteristic
728C4C2×D3311yescharacteristic
729C3—21no—
730C3—21no—
731C3—21no—
732C3—41no—
733C3C2×#6380611yescharacteristic, complemented
734C3C2×#6380711yescharacteristic, complemented
735C3C2×#6393611yescharacteristic, complemented
736C2—122no—
737C2—182no—
738C2—362no—
739C2#1172286412yesdirect product factor
740C2C2×#8895511yescharacteristic
subgroupG/H
centerC22#88955
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×#89041C2semidirect
2. C2×#89014C2semidirect
3. C2×#88800C2semidirect
4. C2×#88796C2semidirect
5. C2×C3×#3716C2semidirect
6. C2×C3×#3714C2semidirect
7. C2×C3×#3710C2semidirect
8. #11722864C2direct (N × H)
20. #89041C22semidirect
24. #89014C22semidirect
27. #88800C22semidirect
28. #88796C22semidirect
29. C3×#3716C22semidirect
30. C3×#3714C22semidirect
31. C3×#3710C22semidirect
54. C2×#3716D3semidirect
55. C2×#3714D3semidirect
56. C2×#3710D3semidirect
158. #3716C2×D3semidirect
159. #3714C2×D3semidirect
160. #3710C2×D3semidirect
303. C2×C33#135semidirect
452. C33C2×#135semidirect
564. C2×C32#904semidirect
565. C2×C32#912semidirect
566. C2×C32#916semidirect
665. C32C2×#904semidirect
666. C32C2×#912semidirect
667. C32C2×#916semidirect
704. C2×C3#63806semidirect
705. C2×C3#63807semidirect
706. C2×C3#63936semidirect
733. C3C2×#63806semidirect
734. C3C2×#63807semidirect
735. C3C2×#63936semidirect
739. C2#11722864direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#890412
C2×#890142
C2×#888002
C2×#887962
C2×C3×#37162
C2×C3×#37142
C2×C3×#37102
#117228642
C2×#639363
C2×#638073
C2×#638063