Finite Group Databasebeta

← C2×#11722883 #13170680

Subgroups — C2×#11722883 #13170680

Order 1728.

1250 conjugacy classes of subgroups.

The subgroup lattice has 694 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C3×#3799C211yesmaximal, characteristic
2C2×C3×D3×Dic6C211yesmaximal, characteristic, complemented
3C2×#88811C211yesmaximal, characteristic, complemented
4C2×#88798C211yesmaximal, characteristic, complemented
5C2×#88793C211yesmaximal, characteristic, complemented
6C2×#88786C211yesmaximal, characteristic, complemented
7C2×C3×#3718C211yesmaximal, characteristic, complemented
8#11722883C218yesmaximal, direct product factor
9C2×#63948—31nomaximal
10C2×#63943—31nomaximal
11C2×#63827—31nomaximal
12C2×C3×C4⋊(C3⋊D3)C2211yescharacteristic
13C2×C3×#634C2211yescharacteristic
14C2×C32×C4×D3C2211yescharacteristic
15C2×C32×Dic6C2211yescharacteristic
16C2×C32×Dic6C2211yescharacteristic
17C2×C3×#627—21no—
18C2×C3×#626—21no—
19C2×C3×#624—21no—
20C2×C3×D3×Dic3—21no—
21C3×#3799—22no—
22C3×#3799C2214yes—
23C3×D3×Dic6—22no—
24C3×D3×Dic6C2214yescomplemented
25C2×C3⋊(C3⋊(C3⋊C8))C2211yescharacteristic
26C2×C3×C3⋊(C3⋊C8)C2211yescharacteristic
27#88811C2214yescomplemented
28#88798C2214yescomplemented
29#88793C2214yescomplemented
30#88786C2214yescomplemented
31C3×#3718C2214yescomplemented
32C2×C3×#239—31no—
33C2×C3×D3×Q8—31no—
34C2×C3×#235—31no—
35C22×C3×Dic6—31no—
36C2×#3799D311yescharacteristic
37C2×D3×Dic6D311yescharacteristic, complemented
38C2×#3756—31no—
39C2×#3755—31no—
40C2×#3748—31no—
41C2×C3×#216—31no—
42C2×C3×#216—31no—
43#63948—38no—
44#63943—38no—
45C2×#3718—31no—
46C2×#3718—31no—
47C2×#3718—61no—
48C2×#3718D311yescharacteristic, complemented
49C2×#3717—31no—
50C2×#3716—31no—
51#63827—38no—
52C2×#3715—31no—
53C2×#3715—31no—
54C2×#3715—31no—
55C2×#3715—61no—
56C2×#3711—31no—
57C2×#3711—31no—
58C2×#3711—61no—
59C22×C3×C3⋊D3—21no—
60C22×C32×D3D411yescharacteristic
61C2×C33×C4C2311yescharacteristic
62C2×C3×C3⋊Dic3—21no—
63C3×C4⋊(C3⋊D3)—21no—
64C3×C4⋊(C3⋊D3)C2312yes—
65C3×#634—21no—
66C3×#634C2312yes—
67C2×C32×Dic3—21no—
68C2×C32×Dic3—21no—
69C2×C32×Dic3D411yescharacteristic
70C32×C4×D3D412yes—
71C32×C4×D3C2312yes—
72C32×Dic6—21no—
73C32×Dic6—21no—
74C32×Dic6C2312yes—
75C32×Dic6C2312yes—
76C3×#627—24no—
77C3×#626—24no—
78C3×#624—24no—
79C3×D3×Dic3—24no—
80C3⋊(C3⋊(C3⋊C8))C2312yes—
81C3×C3⋊(C3⋊C8)C2312yes—
82C2×#951—91no—
83C2×#942—91no—
84C2×#918—91no—
85C2×C32×Q8—31no—
86C2×C32×Q8—31no—
87C22×C32×C4—31no—
88C2×C4⋊(C3⋊D3)C2×D311yescharacteristic
89C2×#634C2×D311yescharacteristic
90C2×C3×#67—61no—
91C22×C3×Dic3—61no—
92C3×#239—34no—
93C3×#239—62no—
94C3×D3×Q8—34no—
95C3×D3×Q8—62no—
96C3×#235—34no—
97C3×#235—62no—
98C2×C3×D12—31no—
99C2×C3×D12—31no—
100C2×C3×D12—61no—
101C2×C3×D12—61no—
102C2×C3×C4×D3—21no—
103C2×C3×C4×D3—61no—
104C2×C3×C4×D3—61no—
105C2×C3×C4×D3—61no—
106C2×C3×C4×D3C2×D311yescharacteristic
107C2×C3×C4×D3C2×D311yescharacteristic
108C2×C3×Dic6—21no—
109C2×C3×Dic6—21no—
110C2×C3×Dic6—31no—
111C2×C3×Dic6—31no—
112C2×C3×Dic6—34no—
113C2×C3×Dic6—62no—
114C2×C3×Dic6—61no—
115C2×C3×Dic6—61no—
116C2×C3×Dic6—61no—
117C2×C3×Dic6C2×D311yescharacteristic
118C2×C3×Dic6C2×D311yescharacteristic
119C2×C3×Dic6C2×D311yescharacteristic
120C2×C3×Dic6C2×D311yescharacteristic
121C2×#627—21no—
122C2×#626—21no—
123C2×#624—21no—
124C2×D3×Dic3—21no—
125#3799—22no—
126#3799C2×D314yes—
127D3×Dic6—22no—
128D3×Dic6C2×D314yescomplemented
129#3756—34no—
130#3755—34no—
131#3748—34no—
132C2×C3⋊(C3⋊C8)—31no—
133C2×C3⋊(C3⋊C8)—31no—
134C2×C3⋊(C3⋊C8)—31no—
135C2×C3⋊(C3⋊C8)—61no—
136C2×C3⋊(C3⋊C8)—61no—
137C2×C3⋊(C3⋊C8)—61no—
138C2×C3⋊(C3⋊C8)—121no—
139C2×C3⋊(C3⋊C8)C2×D311yescharacteristic
140C3×#216—34no—
141C3×#216—34no—
142C2×C3×C3⋊C8—31no—
143C2×C3×C3⋊C8—31no—
144C2×C3×C3⋊C8—61no—
145#3718—34no—
146#3718—34no—
147#3718—64no—
148#3718C2×D314yescomplemented
149#3717—34no—
150#3716—34no—
151#3715—34no—
152#3715—34no—
153#3715—34no—
154#3715—64no—
155#3711—34no—
156#3711—34no—
157#3711—64no—
158C22×C33C2×D411yescharacteristic
159C2×C3×C3⋊D3—22no—
160C2×C3×C3⋊D3—42no—
161C2×C32×D3—22no—
162C2×C32×D3C2×D412yes—
163C33×C4C2×D411yescharacteristic
164C33×C4C2411yescharacteristic
165C3×C3⋊Dic3—22no—
166C32×Dic3—22no—
167C32×Dic3—22no—
168C32×Dic3C2×D412yes—
169C2×C3×#41—91no—
170C22×C3×Q8—91no—
171C2×#239—31no—
172C2×D3×Q8—31no—
173C2×#235—31no—
174C22×Dic6—31no—
175C2×C3×Q16—91no—
176#951—98no—
177C2×#216—31no—
178C2×#216—31no—
179C2×#216—91no—
180C2×#216—91no—
181C2×#216—91no—
182C2×#216—181no—
183#942—98no—
184C2×#215—91no—
185C2×#215—91no—
186C2×#215—91no—
187C2×#215—181no—
188C2×#214—91no—
189C2×#214—91no—
190C2×#208—91no—
191C2×#208—91no—
192C2×#208—181no—
193#918—98no—
194C2×#204—91no—
195C2×ΓL(1,𝔽25)—91no—
196C23×C32—31no—
197C22×C3⋊D3—21no—
198C22×C3×D3—21no—
199C22×C3×D3—61no—
200C22×C3×D3—61no—
201C22×C3×D3—121no—
202C22×C3×D3#6711yescharacteristic
203C22×C3×D3#6711yescharacteristic
204C32×Q8—32no—
205C32×Q8—32no—
206C32×Q8—61no—
207C32×Q8—61no—
208C2×C32×C4—21no—
209C2×C32×C4—21no—
210C2×C32×C4—21no—
211C2×C32×C4—31no—
212C2×C32×C4—32no—
213C2×C32×C4—32no—
214C2×C32×C4—41no—
215C2×C32×C4—61no—
216C2×C32×C4—61no—
217C2×C32×C4C22×D311yescharacteristic
218C2×C32×C4C22×D311yescharacteristic
219C2×C32×C4C22×D311yescharacteristic
220C2×C3⋊Dic3—21no—
221C4⋊(C3⋊D3)—21no—
222C4⋊(C3⋊D3)C22×D312yes—
223#634—21no—
224#634C22×D312yes—
225C3×#67—64no—
226C2×C3×Dic3—21no—
227C2×C3×Dic3—21no—
228C2×C3×Dic3—21no—
229C2×C3×Dic3—21no—
230C2×C3×Dic3—21no—
231C2×C3×Dic3—41no—
232C2×C3×Dic3—41no—
233C2×C3×Dic3—64no—
234C2×C3×Dic3—61no—
235C2×C3×Dic3—61no—
236C2×C3×Dic3—121no—
237C2×C3×Dic3#6711yescharacteristic
238C2×C3×Dic3#6711yescharacteristic
239C3×D12—32no—
240C3×D12—32no—
241C3×D12—62no—
242C3×D12—64no—
243C3×D12—61no—
244C3×D12—61no—
245C3×D12—121no—
246C3×C4×D3—22no—
247C3×C4×D3—22no—
248C3×C4×D3—64no—
249C3×C4×D3—64no—
250C3×C4×D3—64no—
251C3×C4×D3#6712yes—
252C3×C4×D3#6712yes—
253C3×C4×D3C22×D312yes—
254C3×C4×D3C22×D312yes—
255C3×Dic6—21no—
256C3×Dic6—21no—
257C3×Dic6—21no—
258C3×Dic6—21no—
259C3×Dic6—22no—
260C3×Dic6—22no—
261C3×Dic6—32no—
262C3×Dic6—32no—
263C3×Dic6—41no—
264C3×Dic6—41no—
265C3×Dic6—62no—
266C3×Dic6—64no—
267C3×Dic6—61no—
268C3×Dic6—61no—
269C3×Dic6—64no—
270C3×Dic6—121no—
271C3×Dic6C22×D312yes—
272C3×Dic6C22×D312yes—
273C3×Dic6C22×D312yes—
274C3×Dic6C22×D312yes—
275#627—24no—
276#626—24no—
277#624—24no—
278D3×Dic3—24no—
279C3⋊(C3⋊C8)—32no—
280C3⋊(C3⋊C8)—32no—
281C3⋊(C3⋊C8)—32no—
282C3⋊(C3⋊C8)—62no—
283C3⋊(C3⋊C8)—62no—
284C3⋊(C3⋊C8)—62no—
285C3⋊(C3⋊C8)—122no—
286C3⋊(C3⋊C8)C22×D312yes—
287C3×C3⋊C8—32no—
288C3×C3⋊C8—32no—
289C3×C3⋊C8—62no—
290C2×#137—271noSylow
291C2×C33#13712yescomplemented
292C2×C33C22×D411yescharacteristic
293C3×C3⋊D3—42no—
294C32×D3—22no—
295C3×#41—94no—
296C3×#41—182no—
297C2×C3×Q8—31no—
298C2×C3×Q8—31no—
299C2×C3×Q8—31no—
300C2×C3×Q8—31no—
301C2×C3×Q8—61no—
302C2×C3×Q8—61no—
303C2×C3×Q8—94no—
304C2×C3×Q8—91no—
305C2×C3×Q8—181no—
306C2×C3×Q8—182no—
307C2×C3×D4—91no—
308C2×C3×D4—181no—
309C22×C3×C4—31no—
310C22×C3×C4—31no—
311C22×C3×C4—61no—
312C22×C3×C4—181no—
313C22×C3×C4—181no—
314C2×#67—61no—
315C22×Dic3—61no—
316#239—34no—
317#239—62no—
318D3×Q8—34no—
319D3×Q8—62no—
320#235—34no—
321#235—62no—
322C2×D12—31no—
323C2×D12—31no—
324C2×D12—61no—
325C2×D12—61no—
326C2×C4×D3—61no—
327C2×C4×D3—61no—
328C2×C4×D3—61no—
329C2×C4×D3D3211yescharacteristic
330C2×Dic6—31no—
331C2×Dic6—31no—
332C2×Dic6—34no—
333C2×Dic6—61no—
334C2×Dic6—62no—
335C2×Dic6—61no—
336C2×Dic6—61no—
337C2×Dic6D3211yescharacteristic
338C2×Dic6D3211yescharacteristic
339C3×Q16—94no—
340C2×C3×C8—91no—
341#216—34no—
342#216—34no—
343#216—94no—
344#216—94no—
345#216—94no—
346#216—184no—
347#215—94no—
348#215—94no—
349#215—94no—
350#215—184no—
351#214—94no—
352#214—94no—
353#208—94no—
354#208—94no—
355#208—184no—
356C2×C3⋊C8—31no—
357C2×C3⋊C8—31no—
358C2×C3⋊C8—61no—
359C2×C3⋊C8—91no—
360C2×C3⋊C8—91no—
361C2×C3⋊C8—91no—
362C2×C3⋊C8—181no—
363C2×C3⋊C8—181no—
364C2×C3⋊C8—181no—
365C2×C3⋊C8—361no—
366#204—94no—
367ΓL(1,𝔽25)—94no—
368C22×C32—21no—
369C22×C32—21no—
370C22×C32—21no—
371C22×C32—32no—
372C22×C32—41no—
373C22×C32—62no—
374C22×C32D3×D411yescharacteristic
375C22×C32C2×#6711yescharacteristic
376C22×C32C2×#6711yescharacteristic
377C2×C3⋊D3—22no—
378C2×C3⋊D3—42no—
379C2×C3×D3—22no—
380C2×C3×D3—22no—
381C2×C3×D3—22no—
382C2×C3×D3—42no—
383C2×C3×D3—62no—
384C2×C3×D3—62no—
385C2×C3×D3—122no—
386C2×C3×D3—122no—
387C2×C3×D3—122no—
388C2×C3×D3—242no—
389C2×C3×D3C2×#6712yes—
390C2×C3×D3C2×#6712yes—
391C32×C4—21no—
392C32×C4—21no—
393C32×C4—21no—
394C32×C4—21no—
395C32×C4—21no—
396C32×C4—21no—
397C32×C4—32no—
398C32×C4—41no—
399C32×C4—41no—
400C32×C4—62no—
401C32×C4—62no—
402C32×C4D3×D411yescharacteristic
403C32×C4C2×#6711yescharacteristic
404C32×C4C2×#6711yescharacteristic
405C32×C4C23×D311yescharacteristic
406C32×C4C23×D311yescharacteristic
407C32×C4C23×D311yescharacteristic
408C3⋊Dic3—22no—
409C3×Dic3—22no—
410C3×Dic3—22no—
411C3×Dic3—22no—
412C3×Dic3—22no—
413C3×Dic3—22no—
414C3×Dic3—42no—
415C3×Dic3—42no—
416C3×Dic3—62no—
417C3×Dic3—62no—
418C3×Dic3—122no—
419C3×Dic3C2×#6712yes—
420C3×Dic3C2×#6712yes—
421C2×#41—91no—
422C22×Q8—91no—
423#137—278no—
424C2×Q16—91no—
425C2×Q16—271no—
426C2×SD16—271no—
427C2×SD16—271no—
428C2×M16—271no—
429C33C2×#13711yescharacteristic, complemented, Sylow
430C23×C3—31no—
431C23×C3—31no—
432C23×C3—61no—
433C23×C3—181no—
434C22×D3—61no—
435C22×D3—61no—
436C22×D3—121no—
437C22×D3#62511yescharacteristic
438C3×Q8—32no—
439C3×Q8—32no—
440C3×Q8—32no—
441C3×Q8—32no—
442C3×Q8—62no—
443C3×Q8—62no—
444C3×Q8—61no—
445C3×Q8—61no—
446C3×Q8—61no—
447C3×Q8—61no—
448C3×Q8—92no—
449C3×Q8—121no—
450C3×Q8—121no—
451C3×Q8—184no—
452C3×Q8—181no—
453C3×D4—92no—
454C3×D4—184no—
455C3×D4—181no—
456C2×C3×C4—21no—
457C2×C3×C4—21no—
458C2×C3×C4—21no—
459C2×C3×C4—31no—
460C2×C3×C4—31no—
461C2×C3×C4—32no—
462C2×C3×C4—32no—
463C2×C3×C4—32no—
464C2×C3×C4—32no—
465C2×C3×C4—41no—
466C2×C3×C4—62no—
467C2×C3×C4—62no—
468C2×C3×C4—61no—
469C2×C3×C4—61no—
470C2×C3×C4—61no—
471C2×C3×C4—61no—
472C2×C3×C4—61no—
473C2×C3×C4—121no—
474C2×C3×C4—121no—
475C2×C3×C4—184no—
476C2×C3×C4—184no—
477C2×C3×C4—181no—
478C2×C3×C4C2×D3211yescharacteristic
479C2×C3×C4C2×D3211yescharacteristic
480C2×C3×C4C2×D3211yescharacteristic
481#67—64no—
482C2×Dic3—21no—
483C2×Dic3—21no—
484C2×Dic3—64no—
485C2×Dic3—61no—
486C2×Dic3—61no—
487C2×Dic3—121no—
488C2×Dic3#62511yescharacteristic
489D12—32no—
490D12—32no—
491D12—62no—
492D12—64no—
493D12—61no—
494D12—61no—
495D12—121no—
496C4×D3—64no—
497C4×D3—64no—
498C4×D3—64no—
499C4×D3#62512yes—
500C4×D3C2×D3212yes—
501Dic6—21no—
502Dic6—21no—
503Dic6—32no—
504Dic6—32no—
505Dic6—62no—
506Dic6—64no—
507Dic6—61no—
508Dic6—61no—
509Dic6—64no—
510Dic6—121no—
511Dic6C2×D3212yes—
512Dic6C2×D3212yes—
513C3×C8—92no—
514C3⋊C8—32no—
515C3⋊C8—32no—
516C3⋊C8—62no—
517C3⋊C8—92no—
518C3⋊C8—92no—
519C3⋊C8—92no—
520C3⋊C8—182no—
521C3⋊C8—182no—
522C3⋊C8—182no—
523C3⋊C8—362no—
524C2×C32—21no—
525C2×C32—21no—
526C2×C32—21no—
527C2×C32—22no—
528C2×C32—22no—
529C2×C32—22no—
530C2×C32—42no—
531C2×C32—41no—
532C2×C32—62no—
533C2×C32#91812yescomplemented
534C2×C32#94212yescomplemented
535C2×C32#95112yescomplemented
536C2×C32C2×D3×D411yescharacteristic
537C2×C32C22×#6711yescharacteristic
538C2×C32C22×#6711yescharacteristic
539C3⋊D3—42no—
540C3×D3—22no—
541C3×D3—22no—
542C3×D3—42no—
543C3×D3—122no—
544C3×D3—122no—
545C3×D3—242no—
546#41—94no—
547#41—182no—
548C2×Q8—31no—
549C2×Q8—31no—
550C2×Q8—94no—
551C2×Q8—91no—
552C2×Q8—181no—
553C2×Q8—182no—
554C2×D4—91no—
555C2×D4—181no—
556C22×C4—31no—
557C22×C4—181no—
558C22×C4—181no—
559Q16—94no—
560Q16—274no—
561SD16—274no—
562SD16—274no—
563M16—274no—
564C2×C8—91no—
565C2×C8—271no—
566C22×C3—21no—
567C22×C3—21no—
568C22×C3—21no—
569C22×C3—32no—
570C22×C3—32no—
571C22×C3—41no—
572C22×C3—62no—
573C22×C3—62no—
574C22×C3—62no—
575C22×C3—122no—
576C22×C3—182no—
577C22×C3—362no—
578C22×C3C2×#62511yescharacteristic
579C22×C3D3×#6711yescharacteristic
580C22×C3D3×#6711yescharacteristic
581C2×D3—22no—
582C2×D3—62no—
583C2×D3—62no—
584C2×D3—122no—
585C2×D3—122no—
586C2×D3—122no—
587C2×D3—242no—
588C2×D3C2×#62512yes—
589C3×C4—21no—
590C3×C4—21no—
591C3×C4—21no—
592C3×C4—21no—
593C3×C4—21no—
594C3×C4—21no—
595C3×C4—32no—
596C3×C4—32no—
597C3×C4—41no—
598C3×C4—41no—
599C3×C4—62no—
600C3×C4—62no—
601C3×C4—62no—
602C3×C4—62no—
603C3×C4—62no—
604C3×C4—122no—
605C3×C4—122no—
606C3×C4—182no—
607C3×C4C2×#62511yescharacteristic
608C3×C4D3×#6711yescharacteristic
609C3×C4D3×#6711yescharacteristic
610C3×C4C22×D3211yescharacteristic
611C3×C4C22×D3211yescharacteristic
612C3×C4C22×D3211yescharacteristic
613Dic3—22no—
614Dic3—22no—
615Dic3—62no—
616Dic3—62no—
617Dic3—122no—
618Dic3C2×#62512yes—
619C32—21no—
620C32—21no—
621C32—21no—
622C32—41no—
623C32C2×#91811yescharacteristic, complemented
624C32C2×#94211yescharacteristic, complemented
625C32C2×#95111yescharacteristic, complemented
626C23—31no—
627C23—181no—
628Q8—32no—
629Q8—32no—
630Q8—61no—
631Q8—61no—
632Q8—92no—
633Q8—184no—
634Q8—181no—
635D4—92no—
636D4—184no—
637D4—181no—
638C2×C4—31no—
639C2×C4—32no—
640C2×C4—32no—
641C2×C4—61no—
642C2×C4—61no—
643C2×C4—184no—
644C2×C4—184no—
645C2×C4—181no—
646C2×C4D3311yescharacteristic
647C8—92no—
648C8—272no—
649C2×C3—21no—
650C2×C3—21no—
651C2×C3—21no—
652C2×C3—22no—
653C2×C3—22no—
654C2×C3—22no—
655C2×C3—41no—
656C2×C3—42no—
657C2×C3—62no—
658C2×C3—62no—
659C2×C3—122no—
660C2×C3—362no—
661C2×C3#6382712yescomplemented
662C2×C3#6394312yescomplemented
663C2×C3#6394812yescomplemented
664C2×C3C22×#62511yescharacteristic
665C2×C3C2×D3×#6711yescharacteristic
666C2×C3C2×D3×#6711yescharacteristic
667D3—22no—
668D3—122no—
669D3—122no—
670D3—242no—
671C22—32no—
672C22—62no—
673C22—182no—
674C22—362no—
675C22D3×#62511yescharacteristic
676C4—32no—
677C4—62no—
678C4—62no—
679C4—182no—
680C4D3×#62511yescharacteristic
681C4C2×D3311yescharacteristic
682C3—21no—
683C3—21no—
684C3—21no—
685C3—41no—
686C3C2×#6382711yescharacteristic, complemented
687C3C2×#6394311yescharacteristic, complemented
688C3C2×#6394811yescharacteristic, complemented
689C2—62no—
690C2—362no—
691C2#1172288312yesdirect product factor
692C2C2×D3×#62511yescharacteristic
subgroupG/H
centerC22D3×#625
commutator, cosocleC33×C4C24
FrattiniC4C2×D33
FittingC2×C33×C4C23
socleC22×C33C2×D4
prime radicalC2×C3×#3799C2
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×#88798C2semidirect
5. C2×#88793C2semidirect
6. C2×#88786C2semidirect
7. C2×C3×#3718C2semidirect
8. #11722883C2direct (N × H)
24. C3×D3×Dic6C22semidirect
27. #88811C22semidirect
28. #88798C22semidirect
29. #88793C22semidirect
30. #88786C22semidirect
31. C3×#3718C22semidirect
37. C2×D3×Dic6D3semidirect
48. C2×#3718D3semidirect
128. D3×Dic6C2×D3semidirect
148. #3718C2×D3semidirect
291. C2×C33#137semidirect
429. C33C2×#137semidirect
533. C2×C32#918semidirect
534. C2×C32#942semidirect
535. C2×C32#951semidirect
623. C32C2×#918semidirect
624. C32C2×#942semidirect
625. C32C2×#951semidirect
661. C2×C3#63827semidirect
662. C2×C3#63943semidirect
663. C2×C3#63948semidirect
686. C3C2×#63827semidirect
687. C3C2×#63943semidirect
688. C3C2×#63948semidirect
691. C2#11722883direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C3×#37992
C2×C3×D3×Dic62
C2×#888112
C2×#887982
C2×#887932
C2×#887862
C2×C3×#37182
#117228832
C2×#639483
C2×#639433
C2×#638273