Finite Group Databasebeta

← C2×#11723712 #13178756

Subgroups — C2×#11723712 #13178756

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×C3×Q8×C3⋊D3C211yesmaximal, characteristic, complemented
2C2×#89041C211yesmaximal, characteristic
3C2×C3×#3756C211yesmaximal, characteristic, complemented
4C2×C3×#3755C211yesmaximal, characteristic, complemented
5#11723712C218yesmaximal, direct product factor
6C2×#88812C211yesmaximal, characteristic, complemented
7C2×#88811C211yesmaximal, characteristic, complemented
8C2×#88809C211yesmaximal, characteristic, complemented
9C2×#63951—31nomaximal
10C2×#63948—31nomaximal
11C2×#63946—31nomaximal
12C2×C33×Q8C2211yescharacteristic
13C3×Q8×C3⋊D3—22no—
14C3×Q8×C3⋊D3C2214yescomplemented
15C2×C3×C4⋊(C3⋊D3)C2211yescharacteristic
16C2×C3×C4×C3⋊D3—21no—
17C2×C3×C4×C3⋊D3C2211yescharacteristic
18C2×C3×#634—21no—
19C2×C3×#634C2211yescharacteristic
20C2×C3×#634C2211yescharacteristic
21C2×#6295—21no—
22C2×#6294—21no—
23#89041—22no—
24#89041C2214yes—
25C3×#3756C2214yescomplemented
26C3×#3755C2214yescomplemented
27C2×C3×C3⋊(C3⋊C8)C2211yescharacteristic
28C2×C3×C3⋊(C3⋊C8)C2211yescharacteristic
29#88812C2214yescomplemented
30#88811C2214yescomplemented
31#88809C2214yescomplemented
32C2×Q8×C3⋊D3D311yescharacteristic, complemented
33C2×C3×D3×Q8—31no—
34C2×C3×D3×Q8—31no—
35C2×C3×D3×Q8—61no—
36C2×#3799—31no—
37C2×#3796—31no—
38C2×#3795—31no—
39C2×#3756D311yescharacteristic, complemented
40C2×#3755D311yescharacteristic, complemented
41C2×C3×#216—31no—
42C2×C3×#216—31no—
43C2×C3×#216—61no—
44C2×C3×#215—31no—
45C2×C3×#215—31no—
46C2×C3×#215—61no—
47#63951—38no—
48#63948—38no—
49#63946—38no—
50C2×#3719—31no—
51C2×#3719—31no—
52C2×#3718—31no—
53C2×#3717—31no—
54C2×#3716—31no—
55C2×#3715—31no—
56C2×#3712—31no—
57C2×#3711—31no—
58C2×#3711—31no—
59C22×C3×C3⋊D3—21no—
60C22×C3×C3⋊D3D411yescharacteristic
61C33×Q8—21no—
62C33×Q8C2312yes—
63C2×C33×C4—21no—
64C2×C33×C4C2311yescharacteristic
65C2×C3×C3⋊Dic3—21no—
66C2×C3×C3⋊Dic3—21no—
67C2×C3×C3⋊Dic3D411yescharacteristic
68C3×C4⋊(C3⋊D3)—21no—
69C3×C4⋊(C3⋊D3)C2312yes—
70C3×C4×C3⋊D3—24no—
71C3×C4×C3⋊D3D412yes—
72C3×C4×C3⋊D3C2312yes—
73C3×#634—21no—
74C3×#634—21no—
75C3×#634—24no—
76C3×#634C2312yes—
77C3×#634C2312yes—
78#6295—24no—
79#6294—24no—
80C3×C3⋊(C3⋊C8)C2312yes—
81C3×C3⋊(C3⋊C8)C2312yes—
82C2×#942—91no—
83C2×#918—91no—
84C2×#915—91no—
85C2×C32×Q8—21no—
86C2×C32×Q8—21no—
87C2×C32×Q8—21no—
88C2×C32×Q8—41no—
89C2×C32×Q8C2×D311yescharacteristic
90C2×C32×Q8C2×D311yescharacteristic
91C2×C32×Q8C2×D311yescharacteristic
92Q8×C3⋊D3—22no—
93Q8×C3⋊D3C2×D314yescomplemented
94C2×C4⋊(C3⋊D3)C2×D311yescharacteristic
95C2×C4×C3⋊D3—21no—
96C2×C4×C3⋊D3C2×D311yescharacteristic
97C2×#634—21no—
98C2×#634C2×D311yescharacteristic
99C2×#634C2×D311yescharacteristic
100C3×D3×Q8—34no—
101C3×D3×Q8—34no—
102C3×D3×Q8—62no—
103C3×D3×Q8—62no—
104C3×D3×Q8—64no—
105C3×D3×Q8—64no—
106C2×C3×D12—31no—
107C2×C3×D12—31no—
108C2×C3×D12—61no—
109C2×C3×C4×D3—31no—
110C2×C3×C4×D3—31no—
111C2×C3×C4×D3—61no—
112C2×C3×C4×D3—61no—
113C2×C3×C4×D3—61no—
114C2×C3×C4×D3—62no—
115C2×C3×Dic6—31no—
116C2×C3×Dic6—31no—
117C2×C3×Dic6—31no—
118C2×C3×Dic6—31no—
119C2×C3×Dic6—61no—
120C2×C3×Dic6—61no—
121C2×C3×Dic6—61no—
122C2×C3×Dic6—62no—
123C2×C3×Dic6—61no—
124C2×#626—61no—
125C2×#626—61no—
126C2×#625—61no—
127C2×#624—61no—
128C2×D3×Dic3—61no—
129C2×D3×Dic3—61no—
130#3799—34no—
131#3799—62no—
132#3796—34no—
133#3796—62no—
134#3795—34no—
135#3795—62no—
136#3756C2×D314yescomplemented
137#3755C2×D314yescomplemented
138C2×C3⋊(C3⋊C8)C2×D311yescharacteristic
139C2×C3⋊(C3⋊C8)C2×D311yescharacteristic
140C3×#216—34no—
141C3×#216—34no—
142C3×#216—64no—
143C3×#215—34no—
144C3×#215—34no—
145C3×#215—64no—
146C2×C3×C3⋊C8—31no—
147C2×C3×C3⋊C8—31no—
148C2×C3×C3⋊C8—31no—
149C2×C3×C3⋊C8—31no—
150C2×C3×C3⋊C8—61no—
151C2×C3×C3⋊C8—61no—
152#3719—34no—
153#3719—34no—
154#3718—34no—
155#3717—34no—
156#3716—34no—
157#3715—34no—
158#3712—34no—
159#3711—34no—
160#3711—34no—
161C22×C33C2×D411yescharacteristic
162C2×C3×C3⋊D3—22no—
163C2×C3×C3⋊D3—22no—
164C2×C3×C3⋊D3—42no—
165C2×C3×C3⋊D3C2×D412yes—
166C33×C4—22no—
167C33×C4C2×D411yescharacteristic
168C33×C4C2411yescharacteristic
169C3×C3⋊Dic3—22no—
170C3×C3⋊Dic3—22no—
171C3×C3⋊Dic3C2×D412yes—
172C22×C3×Q8—91no—
173C2×#239—91no—
174C2×D3×Q8—31no—
175C2×D3×Q8—31no—
176C2×D3×Q8—61no—
177C2×#237—91no—
178C2×#235—91no—
179C2×C3×Q16—91no—
180C2×C3×SD16—91no—
181C2×#216—31no—
182C2×#216—31no—
183C2×#216—61no—
184C2×#216—91no—
185C2×#216—91no—
186#942—98no—
187C2×#215—31no—
188C2×#215—31no—
189C2×#215—61no—
190C2×#215—91no—
191C2×#214—91no—
192C2×#208—91no—
193#918—98no—
194#915—98no—
195C2×Dic12—91no—
196C2×#204—91no—
197C2×ΓL(1,𝔽25)—91no—
198C2×ΓL(1,𝔽25)—91no—
199C22×C3⋊D3—21no—
200C22×C3⋊D3#6711yescharacteristic
201C22×C3×D3—31no—
202C22×C3×D3—31no—
203C22×C3×D3—61no—
204C22×C3×D3—61no—
205C22×C3×D3—61no—
206C22×C3×D3—121no—
207C32×Q8—21no—
208C32×Q8—22no—
209C32×Q8—21no—
210C32×Q8—21no—
211C32×Q8—22no—
212C32×Q8—22no—
213C32×Q8—22no—
214C32×Q8—42no—
215C32×Q8—41no—
216C32×Q8—41no—
217C32×Q8—42no—
218C32×Q8C22×D312yes—
219C32×Q8C22×D312yes—
220C32×Q8C22×D312yes—
221C2×C32×C4—21no—
222C2×C32×C4—22no—
223C2×C32×C4—21no—
224C2×C32×C4—21no—
225C2×C32×C4—21no—
226C2×C32×C4—21no—
227C2×C32×C4—21no—
228C2×C32×C4—41no—
229C2×C32×C4—41no—
230C2×C32×C4—41no—
231C2×C32×C4—42no—
232C2×C32×C4C22×D311yescharacteristic
233C2×C32×C4C22×D311yescharacteristic
234C2×C32×C4C22×D311yescharacteristic
235C2×C3⋊Dic3—21no—
236C2×C3⋊Dic3—21no—
237C2×C3⋊Dic3#6711yescharacteristic
238C4⋊(C3⋊D3)—21no—
239C4⋊(C3⋊D3)C22×D312yes—
240C4×C3⋊D3—24no—
241C4×C3⋊D3#6712yes—
242C4×C3⋊D3C22×D312yes—
243#634—21no—
244#634—24no—
245#634—21no—
246#634C22×D312yes—
247#634C22×D312yes—
248C2×C3×Dic3—31no—
249C2×C3×Dic3—31no—
250C2×C3×Dic3—61no—
251C2×C3×Dic3—62no—
252C2×C3×Dic3—61no—
253C2×C3×Dic3—61no—
254C2×C3×Dic3—61no—
255C2×C3×Dic3—61no—
256C2×C3×Dic3—121no—
257C3×D12—32no—
258C3×D12—32no—
259C3×D12—62no—
260C3×D12—61no—
261C3×D12—61no—
262C3×D12—121no—
263C3×C4×D3—32no—
264C3×C4×D3—32no—
265C3×C4×D3—32no—
266C3×C4×D3—32no—
267C3×C4×D3—62no—
268C3×C4×D3—62no—
269C3×C4×D3—64no—
270C3×C4×D3—64no—
271C3×C4×D3—68no—
272C3×Dic6—32no—
273C3×Dic6—32no—
274C3×Dic6—32no—
275C3×Dic6—32no—
276C3×Dic6—62no—
277C3×Dic6—62no—
278C3×Dic6—64no—
279C3×Dic6—64no—
280C3×Dic6—68no—
281C3×Dic6—62no—
282C3×Dic6—61no—
283C3×Dic6—61no—
284C3×Dic6—61no—
285C3×Dic6—61no—
286C3×Dic6—121no—
287#626—64no—
288#626—64no—
289#625—64no—
290#624—64no—
291D3×Dic3—64no—
292D3×Dic3—64no—
293C3⋊(C3⋊C8)C22×D312yes—
294C3⋊(C3⋊C8)C22×D312yes—
295C3×C3⋊C8—32no—
296C3×C3⋊C8—32no—
297C3×C3⋊C8—32no—
298C3×C3⋊C8—32no—
299C3×C3⋊C8—62no—
300C3×C3⋊C8—62no—
301C2×#137—271noSylow
302C2×C33#13712yescomplemented
303C2×C33C22×D411yescharacteristic
304C3×C3⋊D3—22no—
305C3×C3⋊D3—42no—
306C2×C3×Q8—21no—
307C2×C3×Q8—21no—
308C2×C3×Q8—21no—
309C2×C3×Q8—41no—
310C2×C3×Q8—94no—
311C2×C3×Q8—91no—
312C2×C3×Q8—91no—
313C2×C3×Q8—181no—
314C2×C3×Q8—182no—
315C2×C3×Q8D3211yescharacteristic
316C2×C3×Q8D3211yescharacteristic
317C2×C3×Q8D3211yescharacteristic
318C2×C3×D4—91no—
319C22×C3×C4—91no—
320C22×C3×C4—181no—
321C2×#67—181no—
322C2×#67—181no—
323C22×Dic3—181no—
324#239—94no—
325#239—182no—
326D3×Q8—34no—
327D3×Q8—34no—
328D3×Q8—64no—
329D3×Q8—62no—
330D3×Q8—62no—
331D3×Q8—64no—
332#237—94no—
333#237—182no—
334#235—94no—
335#235—182no—
336C2×D12—31no—
337C2×D12—31no—
338C2×D12—61no—
339C2×D12—181no—
340C2×C4×D3—31no—
341C2×C4×D3—31no—
342C2×C4×D3—61no—
343C2×C4×D3—61no—
344C2×C4×D3—61no—
345C2×C4×D3—62no—
346C2×C4×D3—181no—
347C2×C4×D3—181no—
348C2×Dic6—31no—
349C2×Dic6—31no—
350C2×Dic6—31no—
351C2×Dic6—31no—
352C2×Dic6—61no—
353C2×Dic6—61no—
354C2×Dic6—61no—
355C2×Dic6—61no—
356C2×Dic6—62no—
357C3×Q16—94no—
358C3×SD16—94no—
359C2×C3×C8—91no—
360C2×C3×C8—91no—
361#216—34no—
362#216—34no—
363#216—64no—
364#216—94no—
365#216—94no—
366#215—34no—
367#215—34no—
368#215—64no—
369#215—94no—
370#214—94no—
371#208—94no—
372C2×C3⋊C8—31no—
373C2×C3⋊C8—31no—
374C2×C3⋊C8—31no—
375C2×C3⋊C8—31no—
376C2×C3⋊C8—61no—
377C2×C3⋊C8—61no—
378Dic12—94no—
379#204—94no—
380ΓL(1,𝔽25)—94no—
381ΓL(1,𝔽25)—94no—
382C22×C32—21no—
383C22×C32—21no—
384C22×C32—21no—
385C22×C32—41no—
386C22×C32D3×D411yescharacteristic
387C22×C32D3×D411yescharacteristic
388C22×C32C2×#6711yescharacteristic
389C2×C3⋊D3—22no—
390C2×C3⋊D3—22no—
391C2×C3⋊D3—42no—
392C2×C3⋊D3C2×#6712yes—
393C2×C3×D3—32no—
394C2×C3×D3—32no—
395C2×C3×D3—62no—
396C2×C3×D3—64no—
397C2×C3×D3—62no—
398C2×C3×D3—62no—
399C2×C3×D3—62no—
400C2×C3×D3—62no—
401C2×C3×D3—122no—
402C2×C3×D3—122no—
403C2×C3×D3—122no—
404C2×C3×D3—242no—
405C32×C4—22no—
406C32×C4—24no—
407C32×C4—22no—
408C32×C4—22no—
409C32×C4—21no—
410C32×C4—21no—
411C32×C4—21no—
412C32×C4—21no—
413C32×C4—21no—
414C32×C4—21no—
415C32×C4—41no—
416C32×C4—41no—
417C32×C4—42no—
418C32×C4—42no—
419C32×C4—44no—
420C32×C4D3×D411yescharacteristic
421C32×C4D3×D411yescharacteristic
422C32×C4C2×#6711yescharacteristic
423C32×C4C23×D311yescharacteristic
424C32×C4C23×D311yescharacteristic
425C32×C4C23×D311yescharacteristic
426C3⋊Dic3—22no—
427C3⋊Dic3—22no—
428C3⋊Dic3C2×#6712yes—
429C3×Dic3—32no—
430C3×Dic3—32no—
431C3×Dic3—62no—
432C3×Dic3—64no—
433C3×Dic3—62no—
434C3×Dic3—62no—
435C3×Dic3—62no—
436C3×Dic3—62no—
437C3×Dic3—122no—
438C2×#41—271no—
439C22×Q8—91no—
440#137—278no—
441C2×Q16—91no—
442C2×Q16—271no—
443C2×SD16—91no—
444C2×SD16—271no—
445C2×M16—271no—
446C33C2×#13711yescharacteristic, complemented, Sylow
447C23×C3—91no—
448C23×C3—181no—
449C22×D3—31no—
450C22×D3—31no—
451C22×D3—61no—
452C22×D3—61no—
453C22×D3—61no—
454C22×D3—121no—
455C3×Q8—22no—
456C3×Q8—21no—
457C3×Q8—21no—
458C3×Q8—21no—
459C3×Q8—22no—
460C3×Q8—22no—
461C3×Q8—22no—
462C3×Q8—41no—
463C3×Q8—41no—
464C3×Q8—42no—
465C3×Q8—42no—
466C3×Q8—92no—
467C3×Q8—92no—
468C3×Q8—184no—
469C3×Q8—181no—
470C3×Q8—181no—
471C3×Q8C2×D3212yes—
472C3×Q8C2×D3212yes—
473C3×Q8C2×D3212yes—
474C3×D4—92no—
475C3×D4—181no—
476C2×C3×C4—22no—
477C2×C3×C4—21no—
478C2×C3×C4—21no—
479C2×C3×C4—21no—
480C2×C3×C4—21no—
481C2×C3×C4—21no—
482C2×C3×C4—21no—
483C2×C3×C4—41no—
484C2×C3×C4—41no—
485C2×C3×C4—42no—
486C2×C3×C4—41no—
487C2×C3×C4—91no—
488C2×C3×C4—92no—
489C2×C3×C4—92no—
490C2×C3×C4—184no—
491C2×C3×C4—181no—
492C2×C3×C4—181no—
493C2×C3×C4C2×D3211yescharacteristic
494C2×C3×C4C2×D3211yescharacteristic
495C2×C3×C4C2×D3211yescharacteristic
496#67—184no—
497#67—184no—
498C2×Dic3—31no—
499C2×Dic3—31no—
500C2×Dic3—61no—
501C2×Dic3—62no—
502C2×Dic3—61no—
503C2×Dic3—61no—
504C2×Dic3—61no—
505C2×Dic3—61no—
506C2×Dic3—121no—
507C2×Dic3—184no—
508D12—32no—
509D12—32no—
510D12—62no—
511D12—61no—
512D12—61no—
513D12—121no—
514D12—184no—
515C4×D3—32no—
516C4×D3—32no—
517C4×D3—32no—
518C4×D3—32no—
519C4×D3—62no—
520C4×D3—62no—
521C4×D3—64no—
522C4×D3—64no—
523C4×D3—68no—
524C4×D3—184no—
525C4×D3—184no—
526Dic6—32no—
527Dic6—32no—
528Dic6—32no—
529Dic6—32no—
530Dic6—62no—
531Dic6—62no—
532Dic6—64no—
533Dic6—64no—
534Dic6—68no—
535Dic6—62no—
536Dic6—61no—
537Dic6—61no—
538Dic6—61no—
539Dic6—61no—
540Dic6—121no—
541C3×C8—92no—
542C3×C8—92no—
543C3⋊C8—32no—
544C3⋊C8—32no—
545C3⋊C8—32no—
546C3⋊C8—32no—
547C3⋊C8—62no—
548C3⋊C8—62no—
549C2×C32—21no—
550C2×C32—21no—
551C2×C32—21no—
552C2×C32—22no—
553C2×C32—22no—
554C2×C32—22no—
555C2×C32—42no—
556C2×C32—41no—
557C2×C32#91512yescomplemented
558C2×C32#91812yescomplemented
559C2×C32#94212yescomplemented
560C2×C32C2×D3×D411yescharacteristic
561C2×C32C2×D3×D411yescharacteristic
562C2×C32C22×#6711yescharacteristic
563C3⋊D3—22no—
564C3⋊D3—42no—
565C3×D3—64no—
566C3×D3—62no—
567C3×D3—62no—
568C3×D3—122no—
569C3×D3—122no—
570C3×D3—242no—
571#41—274no—
572#41—542no—
573C2×Q8—94no—
574C2×Q8—91no—
575C2×Q8—91no—
576C2×Q8—181no—
577C2×Q8—182no—
578C2×Q8#111311yescharacteristic
579C2×D4—91no—
580C2×D4—541no—
581C22×C4—91no—
582C22×C4—181no—
583C22×C4—541no—
584Q16—94no—
585Q16—274no—
586SD16—94no—
587SD16—274no—
588M16—274no—
589C2×C8—91no—
590C2×C8—91no—
591C22×C3—21no—
592C22×C3—21no—
593C22×C3—21no—
594C22×C3—41no—
595C22×C3—92no—
596C22×C3—182no—
597C22×C3—182no—
598C22×C3—362no—
599C22×C3D3×#6711yescharacteristic
600C22×C3D3×#6711yescharacteristic
601C22×C3#381111yescharacteristic
602C2×D3—32no—
603C2×D3—32no—
604C2×D3—62no—
605C2×D3—64no—
606C2×D3—62no—
607C2×D3—62no—
608C2×D3—62no—
609C2×D3—62no—
610C2×D3—122no—
611C2×D3—122no—
612C2×D3—122no—
613C2×D3—242no—
614C3×C4—24no—
615C3×C4—22no—
616C3×C4—22no—
617C3×C4—22no—
618C3×C4—21no—
619C3×C4—21no—
620C3×C4—21no—
621C3×C4—21no—
622C3×C4—21no—
623C3×C4—21no—
624C3×C4—42no—
625C3×C4—42no—
626C3×C4—44no—
627C3×C4—41no—
628C3×C4—41no—
629C3×C4—92no—
630C3×C4—182no—
631C3×C4—182no—
632C3×C4D3×#6711yescharacteristic
633C3×C4D3×#6711yescharacteristic
634C3×C4#381111yescharacteristic
635C3×C4C22×D3211yescharacteristic
636C3×C4C22×D3211yescharacteristic
637C3×C4C22×D3211yescharacteristic
638Dic3—32no—
639Dic3—32no—
640Dic3—62no—
641Dic3—64no—
642Dic3—62no—
643Dic3—62no—
644Dic3—62no—
645Dic3—62no—
646Dic3—122no—
647C32—21no—
648C32—21no—
649C32—21no—
650C32—41no—
651C32C2×#91511yescharacteristic, complemented
652C32C2×#91811yescharacteristic, complemented
653C32C2×#94211yescharacteristic, complemented
654C23—91no—
655C23—181no—
656Q8—21no—
657Q8—92no—
658Q8—92no—
659Q8—184no—
660Q8—181no—
661Q8—181no—
662Q8C2×#111312yes—
663D4—92no—
664D4—181no—
665D4—544no—
666C2×C4—21no—
667C2×C4—91no—
668C2×C4—92no—
669C2×C4—92no—
670C2×C4—184no—
671C2×C4—181no—
672C2×C4—181no—
673C2×C4—544no—
674C2×C4C2×#111311yescharacteristic
675C8—92no—
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—182no—
686C2×C3—362no—
687C2×C3#6394612yescomplemented
688C2×C3#6394812yescomplemented
689C2×C3#6395112yescomplemented
690C2×C3C2×D3×#6711yescharacteristic
691C2×C3C2×D3×#6711yescharacteristic
692C2×C3C2×#381111yescharacteristic
693D3—64no—
694D3—62no—
695D3—62no—
696D3—122no—
697D3—122no—
698D3—242no—
699C22—92no—
700C22—182no—
701C22—182no—
702C22—362no—
703C22#8904911yescharacteristic
704C4—22no—
705C4—92no—
706C4—182no—
707C4—182no—
708C4#8904911yescharacteristic
709C4C22×#111311yescharacteristic
710C3—21no—
711C3—21no—
712C3—21no—
713C3—41no—
714C3C2×#6394611yescharacteristic, complemented
715C3C2×#6394811yescharacteristic, complemented
716C3C2×#6395111yescharacteristic, complemented
717C2—182no—
718C2—362no—
719C2#1172371212yesdirect product factor
720C2C2×#8904911yescharacteristic
subgroupG/H
centerC22#89049
commutator, cosocleC33×C4C24
FrattiniC4C22×#1113
FittingC2×C33×Q8C22
socleC22×C33C2×D4
prime radicalC2×#89041C2
hypercenterC2×Q8#1113
hypocenterC33C2×#137
LCSG ▷ C33×C4 ▷ C2×C33 ▷ C33
UCSC1 ◁ C22 ◁ C2×C4 ◁ C2×Q8

Complements

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

NH ≅ G/Ntype
1. C2×C3×Q8×C3⋊D3C2semidirect
3. C2×C3×#3756C2semidirect
4. C2×C3×#3755C2semidirect
5. #11723712C2direct (N × H)
6. C2×#88812C2semidirect
7. C2×#88811C2semidirect
8. C2×#88809C2semidirect
14. C3×Q8×C3⋊D3C22semidirect
25. C3×#3756C22semidirect
26. C3×#3755C22semidirect
29. #88812C22semidirect
30. #88811C22semidirect
31. #88809C22semidirect
32. C2×Q8×C3⋊D3D3semidirect
39. C2×#3756D3semidirect
40. C2×#3755D3semidirect
93. Q8×C3⋊D3C2×D3semidirect
136. #3756C2×D3semidirect
137. #3755C2×D3semidirect
302. C2×C33#137semidirect
446. C33C2×#137semidirect
557. C2×C32#915semidirect
558. C2×C32#918semidirect
559. C2×C32#942semidirect
651. C32C2×#915semidirect
652. C32C2×#918semidirect
653. C32C2×#942semidirect
687. C2×C3#63946semidirect
688. C2×C3#63948semidirect
689. C2×C3#63951semidirect
714. C3C2×#63946semidirect
715. C3C2×#63948semidirect
716. C3C2×#63951semidirect
719. C2#11723712direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C3×Q8×C3⋊D32
C2×#890412
C2×C3×#37562
C2×C3×#37552
#117237122
C2×#888122
C2×#888112
C2×#888092
C2×#639513
C2×#639483
C2×#639463