Finite Group Databasebeta

← C2×#11722884 #13170681

Subgroups — C2×#11722884 #13170681

Order 1728.

1354 conjugacy classes of subgroups.

The subgroup lattice has 722 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#89021C211yesmaximal, characteristic
2C2×C3×D3×Dic6C211yesmaximal, characteristic, complemented
3C2×#88811C211yesmaximal, characteristic, complemented
4C2×#88800C211yesmaximal, characteristic, complemented
5C2×#88799C211yesmaximal, characteristic, complemented
6C2×C3×#3717C211yesmaximal, characteristic, complemented
7C2×C3×#3711C211yesmaximal, characteristic, complemented
8#11722884C218yesmaximal, direct product factor
9C2×#63946—31nomaximal
10C2×#63833—31nomaximal
11C2×#63800—31nomaximal
12C2×#6308C2211yescharacteristic
13C2×C3×C4⋊(C3⋊D3)C2211yescharacteristic
14C2×C3×#634C2211yescharacteristic
15C2×C32×C4×D3C2211yescharacteristic
16C2×C32×Dic6C2211yescharacteristic
17C2×#6290—21no—
18C2×Dic3×C3⋊D3—21no—
19#89021—22no—
20#89021C2214yes—
21C2×C3×#627—21no—
22C2×C3×D3×Dic3—21no—
23C3×D3×Dic6—22no—
24C3×D3×Dic6C2214yescomplemented
25C2×C3×C3⋊(C3⋊C8)C2211yescharacteristic
26C2×C32×C3⋊C8C2211yescharacteristic
27#88811C2214yescomplemented
28#88800C2214yescomplemented
29#88799C2214yescomplemented
30C3×#3717C2214yescomplemented
31C3×#3711C2214yescomplemented
32C2×#3828—31no—
33C2×C3×D3×Q8—31no—
34C22×C3×Dic6—31no—
35C2×#3795—31no—
36C2×#3795—31no—
37C2×#3795—61no—
38C2×D3×Dic6D311yescharacteristic, complemented
39C2×#3756—31no—
40C2×#3746—31no—
41C2×C3×#215—31no—
42C2×C3×#208—31no—
43C2×C3×#204—31no—
44C2×C3×ΓL(1,𝔽25)—31no—
45#63946—38no—
46C2×#3719—31no—
47C2×#3719—31no—
48C2×#3719—31no—
49C2×#3719—31no—
50C2×#3719—61no—
51C2×#3719—61no—
52#63833—38no—
53C2×#3717—31no—
54C2×#3717D311yescharacteristic, complemented
55C2×#3716—31no—
56C2×#3715—31no—
57C2×#3711D311yescharacteristic, complemented
58#63800—38no—
59C22×C3×C3⋊D3—21no—
60C22×C32×D3D411yescharacteristic
61C2×C33×C4C2311yescharacteristic
62C2×C3⋊(C3⋊Dic3)—21no—
63#6308—21no—
64#6308C2312yes—
65C2×C3×C3⋊Dic3—21no—
66C3×C4⋊(C3⋊D3)—21no—
67C3×C4⋊(C3⋊D3)C2312yes—
68C3×#634—21no—
69C3×#634C2312yes—
70C2×C32×Dic3—21no—
71C2×C32×Dic3D411yescharacteristic
72C32×C4×D3D412yes—
73C32×C4×D3C2312yes—
74C32×Dic6—21no—
75C32×Dic6C2312yes—
76#6290—24no—
77Dic3×C3⋊D3—24no—
78C3×#627—24no—
79C3×D3×Dic3—24no—
80C3×C3⋊(C3⋊C8)C2312yes—
81C32×C3⋊C8C2312yes—
82C2×#942—91no—
83C2×#915—91no—
84C2×#909—91no—
85C2×C32×Q8—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
100C22×C3×Dic3—61no—
101C3×D3×Q8—34no—
102C3×D3×Q8—62no—
103C2×C3×D12—31no—
104C2×C3×D12—31no—
105C2×C3×D12—61no—
106C2×C3×C4×D3—21no—
107C2×C3×C4×D3—61no—
108C2×C3×C4×D3C2×D311yescharacteristic
109C2×C3×C4×D3C2×D311yescharacteristic
110C2×C3×Dic6—21no—
111C2×C3×Dic6—31no—
112C2×C3×Dic6—31no—
113C2×C3×Dic6—34no—
114C2×C3×Dic6—62no—
115C2×C3×Dic6—61no—
116C2×C3×Dic6—61no—
117C2×C3×Dic6—61no—
118C2×C3×Dic6C2×D311yescharacteristic
119C2×C3×Dic6C2×D311yescharacteristic
120C2×#627—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—34no—
129#3795—34no—
130#3795—64no—
131#3795—64no—
132#3795—62no—
133#3795—62no—
134D3×Dic6—22no—
135D3×Dic6C2×D314yescomplemented
136C2×C32×C8—31no—
137#3756—34no—
138C2×C3⋊(C3⋊C8)C2×D311yescharacteristic
139#3746—34no—
140C3×#215—34no—
141C3×#208—34no—
142C2×C3×C3⋊C8—21no—
143C2×C3×C3⋊C8—31no—
144C2×C3×C3⋊C8—31no—
145C2×C3×C3⋊C8—61no—
146C2×C3×C3⋊C8C2×D311yescharacteristic
147C2×C3×C3⋊C8C2×D311yescharacteristic
148C3×#204—34no—
149C3×ΓL(1,𝔽25)—34no—
150#3719—34no—
151#3719—34no—
152#3719—34no—
153#3719—34no—
154#3719—64no—
155#3719—64no—
156#3717—34no—
157#3717C2×D314yescomplemented
158#3716—34no—
159#3715—34no—
160#3711C2×D314yescomplemented
161C22×C33C2×D411yescharacteristic
162C2×C3×C3⋊D3—22no—
163C2×C3×C3⋊D3—42no—
164C2×C32×D3—22no—
165C2×C32×D3C2×D412yes—
166C33×C4C2×D411yescharacteristic
167C33×C4C2411yescharacteristic
168C3⋊(C3⋊Dic3)—22no—
169C3×C3⋊Dic3—22no—
170C32×Dic3—22no—
171C32×Dic3C2×D412yes—
172C22×C3×Q8—91no—
173C2×D3×Q8—31no—
174C2×#237—91no—
175C2×#235—91no—
176C2×#235—91no—
177C2×#235—181no—
178C22×Dic6—31no—
179C2×C3×SD16—91no—
180C2×C3×M16—91no—
181C2×#216—91no—
182C2×#216—91no—
183C2×#216—91no—
184C2×#216—181no—
185#942—98no—
186C2×#215—31no—
187C2×#215—91no—
188C2×#214—91no—
189C2×#208—31no—
190#915—98no—
191#909—98no—
192C2×Dic12—91no—
193C2×Dic12—91no—
194C2×Dic12—91no—
195C2×Dic12—181no—
196C2×#204—31no—
197C2×#204—91no—
198C2×ΓL(1,𝔽25)—31no—
199C23×C32—31no—
200C22×C3⋊D3—21no—
201C22×C3×D3—21no—
202C22×C3×D3—62no—
203C22×C3×D3—61no—
204C22×C3×D3—61no—
205C22×C3×D3D1211yescharacteristic
206C22×C3×D3#6711yescharacteristic
207C32×Q8—32no—
208C32×Q8—61no—
209C2×C32×C4—21no—
210C2×C32×C4—21no—
211C2×C32×C4—21no—
212C2×C32×C4—31no—
213C2×C32×C4—32no—
214C2×C32×C4—32no—
215C2×C32×C4—41no—
216C2×C32×C4—61no—
217C2×C32×C4C22×D311yescharacteristic
218C2×C32×C4C22×D311yescharacteristic
219C2×C32×C4C22×D311yescharacteristic
220#638—64no—
221C2×C3⋊Dic3—21no—
222C2×C3⋊Dic3—61no—
223C2×C3⋊Dic3—62no—
224C2×C3⋊Dic3—61no—
225C2×C3⋊Dic3—61no—
226C2×C3⋊Dic3—121no—
227C2×C3⋊Dic3—121no—
228C2×C3⋊Dic3—122no—
229C4⋊(C3⋊D3)—21no—
230C4⋊(C3⋊D3)C22×D312yes—
231C4×C3⋊D3—64no—
232#634—21no—
233#634—32no—
234#634—32no—
235#634—32no—
236#634—62no—
237#634—62no—
238#634—62no—
239#634—61no—
240#634—62no—
241#634—61no—
242#634—61no—
243#634—122no—
244#634—121no—
245#634—121no—
246#634—122no—
247#634C22×D312yes—
248C2×C3×Dic3—21no—
249C2×C3×Dic3—21no—
250C2×C3×Dic3—21no—
251C2×C3×Dic3—41no—
252C2×C3×Dic3—64no—
253C2×C3×Dic3—61no—
254C2×C3×Dic3—61no—
255C2×C3×Dic3—121no—
256C2×C3×Dic3D1211yescharacteristic
257C2×C3×Dic3#6711yescharacteristic
258C3×D12—32no—
259C3×D12—32no—
260C3×D12—62no—
261C3×D12—62no—
262C3×D12—61no—
263C3×D12—61no—
264C3×C4×D3—22no—
265C3×C4×D3—22no—
266C3×C4×D3—64no—
267C3×C4×D3D1212yes—
268C3×C4×D3#6712yes—
269C3×C4×D3C22×D312yes—
270C3×C4×D3C22×D312yes—
271C3×Dic6—21no—
272C3×Dic6—21no—
273C3×Dic6—22no—
274C3×Dic6—32no—
275C3×Dic6—32no—
276C3×Dic6—41no—
277C3×Dic6—62no—
278C3×Dic6—64no—
279C3×Dic6—61no—
280C3×Dic6—61no—
281C3×Dic6—64no—
282C3×Dic6—121no—
283C3×Dic6C22×D312yes—
284C3×Dic6C22×D312yes—
285#627—24no—
286#625—68no—
287#625—64no—
288#625—64no—
289D3×Dic3—24no—
290D3×Dic3—68no—
291D3×Dic3—64no—
292D3×Dic3—64no—
293C32×C8—32no—
294C3⋊(C3⋊C8)C22×D312yes—
295C3×C3⋊C8—22no—
296C3×C3⋊C8—32no—
297C3×C3⋊C8—32no—
298C3×C3⋊C8—62no—
299C3×C3⋊C8C22×D312yes—
300C3×C3⋊C8C22×D312yes—
301C2×#137—271noSylow
302C2×C33#13712yescomplemented
303C2×C33C22×D411yescharacteristic
304C3×C3⋊D3—42no—
305C32×D3—22no—
306C2×C3×Q8—31no—
307C2×C3×Q8—31no—
308C2×C3×Q8—61no—
309C2×C3×Q8—94no—
310C2×C3×Q8—91no—
311C2×C3×Q8—181no—
312C2×C3×Q8—182no—
313C2×C3×D4—91no—
314C22×C3×C4—31no—
315C22×C3×C4—31no—
316C22×C3×C4—61no—
317C22×C3×C4—181no—
318C2×#67—181no—
319C2×#67—181no—
320C2×#67—182no—
321C2×#67—181no—
322C22×Dic3—61no—
323C22×Dic3—181no—
324D3×Q8—34no—
325D3×Q8—62no—
326#237—94no—
327#237—182no—
328#235—94no—
329#235—94no—
330#235—184no—
331#235—182no—
332#235—182no—
333#235—184no—
334C2×D12—31no—
335C2×D12—31no—
336C2×D12—61no—
337C2×C4×D3—61no—
338C2×C4×D3—181no—
339C2×C4×D3—181no—
340C2×C4×D3—182no—
341C2×C4×D3D3211yescharacteristic
342C2×Dic6—31no—
343C2×Dic6—31no—
344C2×Dic6—34no—
345C2×Dic6—61no—
346C2×Dic6—62no—
347C2×Dic6—61no—
348C2×Dic6—61no—
349C2×Dic6—91no—
350C2×Dic6—91no—
351C2×Dic6—91no—
352C2×Dic6—181no—
353C2×Dic6—181no—
354C2×Dic6—181no—
355C2×Dic6—361no—
356C2×Dic6D3211yescharacteristic
357C3×SD16—94no—
358C3×M16—94no—
359C2×C3×C8—31no—
360C2×C3×C8—31no—
361C2×C3×C8—61no—
362C2×C3×C8—91no—
363#216—94no—
364#216—94no—
365#216—94no—
366#216—184no—
367#215—34no—
368#215—94no—
369#214—94no—
370#208—34no—
371C2×C3⋊C8—31no—
372C2×C3⋊C8—31no—
373C2×C3⋊C8—61no—
374C2×C3⋊C8D3211yescharacteristic
375Dic12—94no—
376Dic12—94no—
377Dic12—94no—
378Dic12—184no—
379#204—34no—
380#204—94no—
381ΓL(1,𝔽25)—34no—
382C22×C32—21no—
383C22×C32—21no—
384C22×C32—21no—
385C22×C32—32no—
386C22×C32—41no—
387C22×C32—62no—
388C22×C32C2×D1211yescharacteristic
389C22×C32D3×D411yescharacteristic
390C22×C32C2×#6711yescharacteristic
391C2×C3⋊D3—22no—
392C2×C3⋊D3—42no—
393C2×C3×D3—22no—
394C2×C3×D3—22no—
395C2×C3×D3—22no—
396C2×C3×D3—42no—
397C2×C3×D3—64no—
398C2×C3×D3—62no—
399C2×C3×D3—62no—
400C2×C3×D3—124no—
401C2×C3×D3—122no—
402C2×C3×D3—122no—
403C2×C3×D3C2×D1212yes—
404C2×C3×D3C2×#6712yes—
405C32×C4—21no—
406C32×C4—21no—
407C32×C4—21no—
408C32×C4—21no—
409C32×C4—21no—
410C32×C4—21no—
411C32×C4—32no—
412C32×C4—41no—
413C32×C4—41no—
414C32×C4—62no—
415C32×C4C2×D1211yescharacteristic
416C32×C4D3×D411yescharacteristic
417C32×C4C2×#6711yescharacteristic
418C32×C4C23×D311yescharacteristic
419C32×C4C23×D311yescharacteristic
420C32×C4C23×D311yescharacteristic
421C3⋊Dic3—22no—
422C3⋊Dic3—62no—
423C3⋊Dic3—64no—
424C3⋊Dic3—62no—
425C3⋊Dic3—62no—
426C3⋊Dic3—122no—
427C3⋊Dic3—122no—
428C3⋊Dic3—124no—
429C3×Dic3—22no—
430C3×Dic3—22no—
431C3×Dic3—22no—
432C3×Dic3—42no—
433C3×Dic3—62no—
434C3×Dic3—62no—
435C3×Dic3—122no—
436C3×Dic3C2×D1212yes—
437C3×Dic3C2×#6712yes—
438C2×#41—271no—
439C22×Q8—91no—
440#137—278no—
441C2×Q16—271no—
442C2×Q16—271no—
443C2×SD16—91no—
444C2×SD16—271no—
445C2×M16—91no—
446C33C2×#13711yescharacteristic, complemented, Sylow
447C23×C3—31no—
448C23×C3—31no—
449C23×C3—61no—
450C23×C3—181no—
451C22×D3—62no—
452C22×D3—61no—
453C22×D3—61no—
454C22×D3#62611yescharacteristic
455C3×Q8—32no—
456C3×Q8—32no—
457C3×Q8—62no—
458C3×Q8—61no—
459C3×Q8—61no—
460C3×Q8—92no—
461C3×Q8—121no—
462C3×Q8—184no—
463C3×Q8—181no—
464C3×D4—92no—
465C3×D4—181no—
466C2×C3×C4—21no—
467C2×C3×C4—21no—
468C2×C3×C4—21no—
469C2×C3×C4—31no—
470C2×C3×C4—31no—
471C2×C3×C4—32no—
472C2×C3×C4—32no—
473C2×C3×C4—32no—
474C2×C3×C4—32no—
475C2×C3×C4—41no—
476C2×C3×C4—62no—
477C2×C3×C4—62no—
478C2×C3×C4—61no—
479C2×C3×C4—61no—
480C2×C3×C4—61no—
481C2×C3×C4—121no—
482C2×C3×C4—184no—
483C2×C3×C4—181no—
484C2×C3×C4C2×D3211yescharacteristic
485C2×C3×C4C2×D3211yescharacteristic
486C2×C3×C4C2×D3211yescharacteristic
487#67—184no—
488#67—184no—
489#67—188no—
490#67—184no—
491C2×Dic3—21no—
492C2×Dic3—64no—
493C2×Dic3—61no—
494C2×Dic3—61no—
495C2×Dic3—121no—
496C2×Dic3—182no—
497C2×Dic3—181no—
498C2×Dic3—181no—
499C2×Dic3—181no—
500C2×Dic3—184no—
501C2×Dic3—361no—
502C2×Dic3—361no—
503C2×Dic3—362no—
504C2×Dic3#62611yescharacteristic
505D12—32no—
506D12—32no—
507D12—62no—
508D12—62no—
509D12—61no—
510D12—61no—
511C4×D3—64no—
512C4×D3—184no—
513C4×D3—184no—
514C4×D3—188no—
515C4×D3#62612yes—
516C4×D3C2×D3212yes—
517Dic6—21no—
518Dic6—32no—
519Dic6—32no—
520Dic6—62no—
521Dic6—64no—
522Dic6—61no—
523Dic6—61no—
524Dic6—64no—
525Dic6—92no—
526Dic6—92no—
527Dic6—92no—
528Dic6—121no—
529Dic6—182no—
530Dic6—182no—
531Dic6—182no—
532Dic6—182no—
533Dic6—181no—
534Dic6—181no—
535Dic6—181no—
536Dic6—362no—
537Dic6—361no—
538Dic6—361no—
539Dic6—362no—
540Dic6C2×D3212yes—
541C3×C8—32no—
542C3×C8—32no—
543C3×C8—62no—
544C3×C8—92no—
545C3⋊C8—32no—
546C3⋊C8—32no—
547C3⋊C8—62no—
548C3⋊C8C2×D3212yes—
549C2×C32—21no—
550C2×C32—22no—
551C2×C32—21no—
552C2×C32—21no—
553C2×C32—22no—
554C2×C32—22no—
555C2×C32—42no—
556C2×C32—41no—
557C2×C32—62no—
558C2×C32#90912yescomplemented
559C2×C32#91512yescomplemented
560C2×C32#94212yescomplemented
561C2×C32C22×D1211yescharacteristic
562C2×C32C2×D3×D411yescharacteristic
563C2×C32C22×#6711yescharacteristic
564C3⋊D3—42no—
565C3×D3—22no—
566C3×D3—22no—
567C3×D3—42no—
568C3×D3—124no—
569C3×D3—122no—
570C3×D3—122no—
571#41—274no—
572#41—542no—
573C2×Q8—31no—
574C2×Q8—94no—
575C2×Q8—91no—
576C2×Q8—181no—
577C2×Q8—182no—
578C2×Q8—271no—
579C2×D4—91no—
580C2×D4—541no—
581C22×C4—31no—
582C22×C4—181no—
583C22×C4—541no—
584Q16—274no—
585Q16—274no—
586SD16—94no—
587SD16—274no—
588M16—94no—
589C2×C8—31no—
590C2×C8—91no—
591C22×C3—21no—
592C22×C3—21no—
593C22×C3—21no—
594C22×C3—32no—
595C22×C3—32no—
596C22×C3—41no—
597C22×C3—62no—
598C22×C3—62no—
599C22×C3—62no—
600C22×C3—122no—
601C22×C3—182no—
602C22×C3—362no—
603C22×C3D3×D1211yescharacteristic
604C22×C3C2×#62611yescharacteristic
605C22×C3D3×#6711yescharacteristic
606C2×D3—22no—
607C2×D3—64no—
608C2×D3—62no—
609C2×D3—62no—
610C2×D3—124no—
611C2×D3—122no—
612C2×D3—122no—
613C2×D3C2×#62612yes—
614C3×C4—21no—
615C3×C4—21no—
616C3×C4—21no—
617C3×C4—21no—
618C3×C4—21no—
619C3×C4—21no—
620C3×C4—32no—
621C3×C4—32no—
622C3×C4—41no—
623C3×C4—41no—
624C3×C4—62no—
625C3×C4—62no—
626C3×C4—62no—
627C3×C4—122no—
628C3×C4—182no—
629C3×C4D3×D1211yescharacteristic
630C3×C4C2×#62611yescharacteristic
631C3×C4D3×#6711yescharacteristic
632C3×C4C22×D3211yescharacteristic
633C3×C4C22×D3211yescharacteristic
634C3×C4C22×D3211yescharacteristic
635Dic3—22no—
636Dic3—62no—
637Dic3—62no—
638Dic3—122no—
639Dic3—184no—
640Dic3—182no—
641Dic3—182no—
642Dic3—182no—
643Dic3—362no—
644Dic3—362no—
645Dic3—364no—
646Dic3C2×#62612yes—
647C32—21no—
648C32—21no—
649C32—21no—
650C32—41no—
651C32C2×#90911yescharacteristic, complemented
652C32C2×#91511yescharacteristic, complemented
653C32C2×#94211yescharacteristic, complemented
654C23—31no—
655C23—181no—
656Q8—32no—
657Q8—61no—
658Q8—92no—
659Q8—184no—
660Q8—181no—
661Q8—272no—
662Q8—541no—
663D4—92no—
664D4—181no—
665D4—544no—
666C2×C4—31no—
667C2×C4—32no—
668C2×C4—32no—
669C2×C4—61no—
670C2×C4—184no—
671C2×C4—181no—
672C2×C4—544no—
673C2×C4—541no—
674C2×C4D3311yescharacteristic
675C8—32no—
676C8—92no—
677C2×C3—21no—
678C2×C3—21no—
679C2×C3—21no—
680C2×C3—22no—
681C2×C3—22no—
682C2×C3—22no—
683C2×C3—41no—
684C2×C3—42no—
685C2×C3—62no—
686C2×C3—62no—
687C2×C3—122no—
688C2×C3—362no—
689C2×C3#6380012yescomplemented
690C2×C3#6383312yescomplemented
691C2×C3#6394612yescomplemented
692C2×C3C2×D3×D1211yescharacteristic
693C2×C3C22×#62611yescharacteristic
694C2×C3C2×D3×#6711yescharacteristic
695D3—22no—
696D3—124no—
697D3—122no—
698D3—122no—
699C22—32no—
700C22—62no—
701C22—182no—
702C22—362no—
703C22D3×#62611yescharacteristic
704C4—32no—
705C4—62no—
706C4—182no—
707C4—542no—
708C4D3×#62611yescharacteristic
709C4C2×D3311yescharacteristic
710C3—21no—
711C3—21no—
712C3—21no—
713C3—41no—
714C3C2×#6380011yescharacteristic, complemented
715C3C2×#6383311yescharacteristic, complemented
716C3C2×#6394611yescharacteristic, complemented
717C2—62no—
718C2—362no—
719C2#1172288412yesdirect product factor
720C2C2×D3×#62611yescharacteristic
subgroupG/H
centerC22D3×#626
commutator, cosocleC33×C4C24
FrattiniC4C2×D33
FittingC2×C33×C4C23
socleC22×C33C2×D4
prime radicalC2×#89021C2
hypercenterC2×C4D33
hypocenterC33C2×#137
LCSG ▷ C33×C4 ▷ C2×C33 ▷ C33
UCSC1 ◁ C22 ◁ C2×C4

Complements

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

NH ≅ G/Ntype
2. C2×C3×D3×Dic6C2semidirect
3. C2×#88811C2semidirect
4. C2×#88800C2semidirect
5. C2×#88799C2semidirect
6. C2×C3×#3717C2semidirect
7. C2×C3×#3711C2semidirect
8. #11722884C2direct (N × H)
24. C3×D3×Dic6C22semidirect
27. #88811C22semidirect
28. #88800C22semidirect
29. #88799C22semidirect
30. C3×#3717C22semidirect
31. C3×#3711C22semidirect
38. C2×D3×Dic6D3semidirect
54. C2×#3717D3semidirect
57. C2×#3711D3semidirect
135. D3×Dic6C2×D3semidirect
157. #3717C2×D3semidirect
160. #3711C2×D3semidirect
302. C2×C33#137semidirect
446. C33C2×#137semidirect
558. C2×C32#909semidirect
559. C2×C32#915semidirect
560. C2×C32#942semidirect
651. C32C2×#909semidirect
652. C32C2×#915semidirect
653. C32C2×#942semidirect
689. C2×C3#63800semidirect
690. C2×C3#63833semidirect
691. C2×C3#63946semidirect
714. C3C2×#63800semidirect
715. C3C2×#63833semidirect
716. C3C2×#63946semidirect
719. C2#11722884direct (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×D3×Dic62
C2×#888112
C2×#888002
C2×#887992
C2×C3×#37172
C2×C3×#37112
#117228842
C2×#639463
C2×#638333
C2×#638003