Finite Group Databasebeta

← C2×#11722851 #13170607

Subgroups — C2×#11722851 #13170607

Order 1728.

1298 conjugacy classes of subgroups.

The subgroup lattice has 714 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C3×#3799C211yesmaximal, characteristic, complemented
2C2×C3×#3795C211yesmaximal, characteristic, complemented
3C2×#88811C211yesmaximal, characteristic, complemented
4C2×#88798C211yesmaximal, characteristic, complemented
5C2×#88789C211yesmaximal, characteristic, complemented
6C2×D3×C3⋊(C3⋊C8)C211yesmaximal, characteristic, complemented
7C2×C3×#3715C211yesmaximal, characteristic, complemented
8#11722851C218yesmaximal, direct product factor
9C2×#63947—31nomaximal
10C2×#63935—31nomaximal
11C2×#63822—31nomaximal
12C2×C3×C4⋊(C3⋊D3)C2211yescharacteristic
13C2×C3×#634C2211yescharacteristic
14C2×C32×D12C2211yescharacteristic
15C2×C32×C4×D3C2211yescharacteristic
16C2×C32×Dic6C2211yescharacteristic
17C2×C3×#626—21no—
18C2×C3×#625—21no—
19C2×C3×#624—21no—
20C2×C3×D3×Dic3—21no—
21C3×#3799—22no—
22C3×#3799C2214yescomplemented
23C3×#3795—22no—
24C3×#3795C2214yescomplemented
25C2×C3⋊(C3⋊(C3⋊C8))C2211yescharacteristic
26C2×C3×C3⋊(C3⋊C8)C2211yescharacteristic
27#88811C2214yescomplemented
28#88798C2214yescomplemented
29#88789C2214yescomplemented
30D3×C3⋊(C3⋊C8)C2214yescomplemented
31C3×#3715C2214yescomplemented
32C2×C3×#239—31no—
33C2×C3×#237—31no—
34C2×C3×#235—31no—
35C2×C3×#235—31no—
36C2×#3799D311yescharacteristic, complemented
37C2×#3795D311yescharacteristic, complemented
38C2×#3756—31no—
39C2×#3753—31no—
40C22×C3⋊(C3⋊C8)—31no—
41C2×C3×#215—31no—
42C2×C3×#214—31no—
43#63947—38no—
44#63935—38no—
45C2×#3718—31no—
46C2×#3718—31no—
47C2×#3718—61no—
48C2×#3717—31no—
49C2×#3716—31no—
50C2×#3715—31no—
51C2×#3715D311yescharacteristic, complemented
52#63822—38no—
53C2×#3713—31no—
54C2×#3713—31no—
55C2×#3713—61no—
56C2×D3×C3⋊C8—31no—
57C2×D3×C3⋊C8—31no—
58C2×D3×C3⋊C8—61no—
59C22×C3×C3⋊D3—21no—
60C22×C32×D3—21no—
61C22×C32×D3D411yescharacteristic
62C2×C33×C4C2311yescharacteristic
63C2×C3×C3⋊Dic3—21no—
64C3×C4⋊(C3⋊D3)—21no—
65C3×C4⋊(C3⋊D3)C2312yes—
66C3×#634—21no—
67C3×#634C2312yes—
68C2×C32×Dic3—21no—
69C2×C32×Dic3D411yescharacteristic
70C32×D12—21no—
71C32×D12C2312yes—
72C32×C4×D3D412yes—
73C32×C4×D3C2312yes—
74C32×Dic6—21no—
75C32×Dic6C2312yes—
76C3×#626—24no—
77C3×#625—24no—
78C3×#624—24no—
79C3×D3×Dic3—24no—
80C3⋊(C3⋊(C3⋊C8))C2312yes—
81C3×C3⋊(C3⋊C8)C2312yes—
82C2×#950—91no—
83C2×#950—91no—
84C2×#916—91no—
85C2×C32×Q8—31no—
86C2×C32×D4—31no—
87C22×C32×C4—31no—
88C2×C4⋊(C3⋊D3)C2×D311yescharacteristic
89C2×#634C2×D311yescharacteristic
90C2×C3×#67—61no—
91C2×C3×#67—61no—
92C2×C3×#67—61no—
93C22×C3×Dic3—61no—
94C3×#239—34no—
95C3×#239—62no—
96C3×#237—34no—
97C3×#237—62no—
98C3×#235—34no—
99C3×#235—34no—
100C3×#235—62no—
101C3×#235—62no—
102C2×C3×D12—21no—
103C2×C3×D12—31no—
104C2×C3×D12—31no—
105C2×C3×D12—61no—
106C2×C3×D12—61no—
107C2×C3×D12C2×D311yescharacteristic
108C2×C3×D12C2×D311yescharacteristic
109C2×C3×C4×D3—21no—
110C2×C3×C4×D3—61no—
111C2×C3×C4×D3—61no—
112C2×C3×C4×D3—61no—
113C2×C3×C4×D3C2×D311yescharacteristic
114C2×C3×C4×D3C2×D311yescharacteristic
115C2×C3×Dic6—21no—
116C2×C3×Dic6—31no—
117C2×C3×Dic6—31no—
118C2×C3×Dic6—61no—
119C2×C3×Dic6C2×D311yescharacteristic
120C2×C3×Dic6C2×D311yescharacteristic
121C2×#626—21no—
122C2×#625—21no—
123C2×#624—21no—
124C2×D3×Dic3—21no—
125#3799—22no—
126#3799C2×D314yescomplemented
127#3795—22no—
128#3795C2×D314yescomplemented
129#3756—34no—
130#3753—34no—
131C2×C3⋊(C3⋊C8)—31no—
132C2×C3⋊(C3⋊C8)—31no—
133C2×C3⋊(C3⋊C8)—31no—
134C2×C3⋊(C3⋊C8)—34no—
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×#215—34no—
141C3×#214—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#3717—34no—
149#3716—34no—
150#3715—34no—
151#3715C2×D314yescomplemented
152#3713—34no—
153#3713—34no—
154#3713—64no—
155D3×C3⋊C8—34no—
156D3×C3⋊C8—34no—
157D3×C3⋊C8—64no—
158C22×C33C2×D411yescharacteristic
159C2×C3×C3⋊D3—22no—
160C2×C3×C3⋊D3—42no—
161C2×C32×D3—22no—
162C2×C32×D3—22no—
163C2×C32×D3—42no—
164C2×C32×D3C2×D412yes—
165C33×C4C2×D411yescharacteristic
166C33×C4C2411yescharacteristic
167C3×C3⋊Dic3—22no—
168C32×Dic3—22no—
169C32×Dic3C2×D412yes—
170C2×C3×#41—91no—
171C2×C3×#41—91no—
172C2×#239—31no—
173C2×#237—31no—
174C2×#235—31no—
175C2×#235—31no—
176C2×C3×SD16—91no—
177#950—98no—
178#950—98no—
179C2×#216—91no—
180C2×#216—91no—
181C2×#216—91no—
182C2×#216—181no—
183C2×#215—31no—
184C2×#215—91no—
185C2×#214—31no—
186C2×#214—91no—
187C2×#213—91no—
188C2×#213—91no—
189C2×#213—91no—
190C2×#213—181no—
191C22×C3⋊C8—91no—
192C22×C3⋊C8—91no—
193C22×C3⋊C8—181no—
194#916—98no—
195C2×#204—91no—
196C2×D3×C8—91no—
197C23×C32—31no—
198C23×C32—61no—
199C22×C3⋊D3—21no—
200C22×C3×D3—21no—
201C22×C3×D3—21no—
202C22×C3×D3—21no—
203C22×C3×D3—41no—
204C22×C3×D3—61no—
205C22×C3×D3—61no—
206C22×C3×D3—121no—
207C22×C3×D3#6711yescharacteristic
208C22×C3×D3#6711yescharacteristic
209C32×Q8—32no—
210C32×Q8—61no—
211C32×D4—32no—
212C32×D4—61no—
213C2×C32×C4—21no—
214C2×C32×C4—21no—
215C2×C32×C4—21no—
216C2×C32×C4—31no—
217C2×C32×C4—32no—
218C2×C32×C4—32no—
219C2×C32×C4—41no—
220C2×C32×C4—61no—
221C2×C32×C4C22×D311yescharacteristic
222C2×C32×C4C22×D311yescharacteristic
223C2×C32×C4C22×D311yescharacteristic
224C2×C3⋊Dic3—21no—
225C4⋊(C3⋊D3)—21no—
226C4⋊(C3⋊D3)C22×D312yes—
227#634—21no—
228#634C22×D312yes—
229C3×#67—64no—
230C3×#67—64no—
231C3×#67—64no—
232C2×C3×Dic3—21no—
233C2×C3×Dic3—21no—
234C2×C3×Dic3—21no—
235C2×C3×Dic3—41no—
236C2×C3×Dic3—61no—
237C2×C3×Dic3—61no—
238C2×C3×Dic3—64no—
239C2×C3×Dic3—121no—
240C2×C3×Dic3#6711yescharacteristic
241C2×C3×Dic3#6711yescharacteristic
242C3×D12—21no—
243C3×D12—21no—
244C3×D12—22no—
245C3×D12—32no—
246C3×D12—32no—
247C3×D12—41no—
248C3×D12—62no—
249C3×D12—64no—
250C3×D12—61no—
251C3×D12—61no—
252C3×D12—121no—
253C3×D12C22×D312yes—
254C3×D12C22×D312yes—
255C3×C4×D3—22no—
256C3×C4×D3—22no—
257C3×C4×D3—64no—
258C3×C4×D3—64no—
259C3×C4×D3—64no—
260C3×C4×D3#6712yes—
261C3×C4×D3#6712yes—
262C3×C4×D3C22×D312yes—
263C3×C4×D3C22×D312yes—
264C3×Dic6—21no—
265C3×Dic6—21no—
266C3×Dic6—22no—
267C3×Dic6—32no—
268C3×Dic6—32no—
269C3×Dic6—41no—
270C3×Dic6—62no—
271C3×Dic6—61no—
272C3×Dic6—61no—
273C3×Dic6—121no—
274C3×Dic6C22×D312yes—
275C3×Dic6C22×D312yes—
276#626—24no—
277#625—24no—
278#624—24no—
279D3×Dic3—24no—
280C3⋊(C3⋊C8)—32no—
281C3⋊(C3⋊C8)—32no—
282C3⋊(C3⋊C8)—32no—
283C3⋊(C3⋊C8)—62no—
284C3⋊(C3⋊C8)—62no—
285C3⋊(C3⋊C8)—62no—
286C3⋊(C3⋊C8)—122no—
287C3⋊(C3⋊C8)C22×D312yes—
288C3×C3⋊C8—32no—
289C3×C3⋊C8—32no—
290C3×C3⋊C8—62no—
291C2×#135—271noSylow
292C2×C33#13512yescomplemented
293C2×C33C22×D411yescharacteristic
294C3×C3⋊D3—42no—
295C32×D3—22no—
296C32×D3—42no—
297C3×#41—94no—
298C3×#41—94no—
299C3×#41—182no—
300C3×#41—182no—
301C2×C3×Q8—31no—
302C2×C3×Q8—31no—
303C2×C3×Q8—61no—
304C2×C3×Q8—91no—
305C2×C3×D4—31no—
306C2×C3×D4—31no—
307C2×C3×D4—61no—
308C2×C3×D4—91no—
309C2×C3×D4—181no—
310C2×C3×D4—181no—
311C22×C3×C4—31no—
312C22×C3×C4—31no—
313C22×C3×C4—61no—
314C22×C3×C4—181no—
315C22×C3×C4—181no—
316C2×#67—61no—
317C2×#67—61no—
318C2×#67—61no—
319C22×Dic3—61no—
320#239—34no—
321#239—62no—
322#237—34no—
323#237—62no—
324#235—34no—
325#235—34no—
326#235—62no—
327#235—62no—
328C2×D12—31no—
329C2×D12—31no—
330C2×D12—61no—
331C2×D12—61no—
332C2×D12D3211yescharacteristic
333C2×C4×D3—61no—
334C2×C4×D3—61no—
335C2×C4×D3—61no—
336C2×C4×D3D3211yescharacteristic
337C2×Dic6—31no—
338C2×Dic6—31no—
339C2×Dic6—61no—
340C2×Dic6D3211yescharacteristic
341C3×SD16—94no—
342C2×C3×C8—91no—
343#216—94no—
344#216—94no—
345#216—94no—
346#216—184no—
347#215—34no—
348#215—94no—
349#214—34no—
350#214—94no—
351#213—94no—
352#213—94no—
353#213—94no—
354#213—184no—
355C2×C3⋊C8—31no—
356C2×C3⋊C8—31no—
357C2×C3⋊C8—61no—
358C2×C3⋊C8—94no—
359C2×C3⋊C8—94no—
360C2×C3⋊C8—91no—
361C2×C3⋊C8—91no—
362C2×C3⋊C8—91no—
363C2×C3⋊C8—184no—
364C2×C3⋊C8—181no—
365C2×C3⋊C8—181no—
366C2×C3⋊C8—181no—
367C2×C3⋊C8—361no—
368#204—94no—
369D3×C8—94no—
370C22×C32—21no—
371C22×C32—21no—
372C22×C32—21no—
373C22×C32—32no—
374C22×C32—41no—
375C22×C32—62no—
376C22×C32—62no—
377C22×C32—122no—
378C22×C32D3×D411yescharacteristic
379C22×C32C2×#6711yescharacteristic
380C22×C32C2×#6711yescharacteristic
381C2×C3⋊D3—22no—
382C2×C3⋊D3—42no—
383C2×C3×D3—24no—
384C2×C3×D3—22no—
385C2×C3×D3—22no—
386C2×C3×D3—22no—
387C2×C3×D3—22no—
388C2×C3×D3—22no—
389C2×C3×D3—42no—
390C2×C3×D3—42no—
391C2×C3×D3—42no—
392C2×C3×D3—62no—
393C2×C3×D3—62no—
394C2×C3×D3—82no—
395C2×C3×D3—122no—
396C2×C3×D3—122no—
397C2×C3×D3—122no—
398C2×C3×D3—242no—
399C2×C3×D3C2×#6712yes—
400C2×C3×D3C2×#6712yes—
401C32×C4—21no—
402C32×C4—21no—
403C32×C4—21no—
404C32×C4—21no—
405C32×C4—21no—
406C32×C4—21no—
407C32×C4—32no—
408C32×C4—41no—
409C32×C4—41no—
410C32×C4—62no—
411C32×C4D3×D411yescharacteristic
412C32×C4C2×#6711yescharacteristic
413C32×C4C2×#6711yescharacteristic
414C32×C4C23×D311yescharacteristic
415C32×C4C23×D311yescharacteristic
416C32×C4C23×D311yescharacteristic
417C3⋊Dic3—22no—
418C3×Dic3—22no—
419C3×Dic3—22no—
420C3×Dic3—22no—
421C3×Dic3—42no—
422C3×Dic3—62no—
423C3×Dic3—62no—
424C3×Dic3—122no—
425C3×Dic3C2×#6712yes—
426C3×Dic3C2×#6712yes—
427C2×#41—91no—
428C2×#41—91no—
429#135—278no—
430C2×Q16—271no—
431C2×SD16—91no—
432C2×SD16—271no—
433C2×D8—271no—
434C22×C8—271no—
435C33C2×#13511yescharacteristic, complemented, Sylow
436C23×C3—31no—
437C23×C3—31no—
438C23×C3—61no—
439C23×C3—61no—
440C23×C3—61no—
441C23×C3—121no—
442C23×C3—181no—
443C22×D3—21no—
444C22×D3—61no—
445C22×D3—61no—
446C22×D3—121no—
447C22×D3#62511yescharacteristic
448C3×Q8—32no—
449C3×Q8—32no—
450C3×Q8—62no—
451C3×Q8—61no—
452C3×Q8—61no—
453C3×Q8—92no—
454C3×Q8—121no—
455C3×Q8—181no—
456C3×D4—32no—
457C3×D4—32no—
458C3×D4—62no—
459C3×D4—61no—
460C3×D4—61no—
461C3×D4—92no—
462C3×D4—121no—
463C3×D4—184no—
464C3×D4—184no—
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—184no—
484C2×C3×C4—181no—
485C2×C3×C4C2×D3211yescharacteristic
486C2×C3×C4C2×D3211yescharacteristic
487C2×C3×C4C2×D3211yescharacteristic
488#67—64no—
489#67—64no—
490#67—64no—
491C2×Dic3—21no—
492C2×Dic3—61no—
493C2×Dic3—61no—
494C2×Dic3—64no—
495C2×Dic3—121no—
496C2×Dic3#62511yescharacteristic
497D12—21no—
498D12—32no—
499D12—32no—
500D12—62no—
501D12—64no—
502D12—61no—
503D12—61no—
504D12—121no—
505D12C2×D3212yes—
506C4×D3—64no—
507C4×D3—64no—
508C4×D3—64no—
509C4×D3#62512yes—
510C4×D3C2×D3212yes—
511Dic6—21no—
512Dic6—32no—
513Dic6—32no—
514Dic6—62no—
515Dic6—61no—
516Dic6—61no—
517Dic6—121no—
518Dic6C2×D3212yes—
519C3×C8—92no—
520C3⋊C8—32no—
521C3⋊C8—32no—
522C3⋊C8—62no—
523C3⋊C8—92no—
524C3⋊C8—92no—
525C3⋊C8—92no—
526C3⋊C8—182no—
527C3⋊C8—182no—
528C3⋊C8—182no—
529C3⋊C8—362no—
530C2×C32—21no—
531C2×C32—21no—
532C2×C32—21no—
533C2×C32—22no—
534C2×C32—22no—
535C2×C32—22no—
536C2×C32—42no—
537C2×C32—41no—
538C2×C32—62no—
539C2×C32—122no—
540C2×C32#91612yescomplemented
541C2×C32#95012yescomplemented
542C2×C32#95012yescomplemented
543C2×C32C2×D3×D411yescharacteristic
544C2×C32C22×#6711yescharacteristic
545C2×C32C22×#6711yescharacteristic
546C3⋊D3—42no—
547C3×D3—24no—
548C3×D3—22no—
549C3×D3—22no—
550C3×D3—42no—
551C3×D3—42no—
552C3×D3—82no—
553C3×D3—122no—
554C3×D3—122no—
555C3×D3—242no—
556#41—94no—
557#41—94no—
558#41—182no—
559#41—182no—
560C2×Q8—31no—
561C2×Q8—91no—
562C2×D4—31no—
563C2×D4—91no—
564C2×D4—181no—
565C2×D4—181no—
566C22×C4—31no—
567C22×C4—181no—
568C22×C4—181no—
569Q16—274no—
570SD16—94no—
571SD16—274no—
572D8—274no—
573C2×C8—91no—
574C2×C8—274no—
575C2×C8—271no—
576C22×C3—21no—
577C22×C3—21no—
578C22×C3—21no—
579C22×C3—32no—
580C22×C3—32no—
581C22×C3—41no—
582C22×C3—62no—
583C22×C3—64no—
584C22×C3—62no—
585C22×C3—62no—
586C22×C3—62no—
587C22×C3—62no—
588C22×C3—122no—
589C22×C3—122no—
590C22×C3—122no—
591C22×C3—182no—
592C22×C3—242no—
593C22×C3—362no—
594C22×C3C2×#62511yescharacteristic
595C22×C3D3×#6711yescharacteristic
596C22×C3D3×#6711yescharacteristic
597C2×D3—22no—
598C2×D3—22no—
599C2×D3—42no—
600C2×D3—62no—
601C2×D3—62no—
602C2×D3—122no—
603C2×D3—122no—
604C2×D3—122no—
605C2×D3—242no—
606C2×D3C2×#62512yes—
607C3×C4—21no—
608C3×C4—21no—
609C3×C4—21no—
610C3×C4—21no—
611C3×C4—21no—
612C3×C4—21no—
613C3×C4—32no—
614C3×C4—32no—
615C3×C4—41no—
616C3×C4—41no—
617C3×C4—62no—
618C3×C4—62no—
619C3×C4—62no—
620C3×C4—122no—
621C3×C4—182no—
622C3×C4C2×#62511yescharacteristic
623C3×C4D3×#6711yescharacteristic
624C3×C4D3×#6711yescharacteristic
625C3×C4C22×D3211yescharacteristic
626C3×C4C22×D3211yescharacteristic
627C3×C4C22×D3211yescharacteristic
628Dic3—22no—
629Dic3—62no—
630Dic3—62no—
631Dic3—122no—
632Dic3C2×#62512yes—
633C32—21no—
634C32—21no—
635C32—21no—
636C32—41no—
637C32C2×#91611yescharacteristic, complemented
638C32C2×#95011yescharacteristic, complemented
639C32C2×#95011yescharacteristic, complemented
640C23—31no—
641C23—61no—
642C23—181no—
643Q8—32no—
644Q8—61no—
645Q8—92no—
646Q8—181no—
647D4—32no—
648D4—61no—
649D4—92no—
650D4—184no—
651D4—184no—
652D4—181no—
653C2×C4—31no—
654C2×C4—32no—
655C2×C4—32no—
656C2×C4—61no—
657C2×C4—184no—
658C2×C4—184no—
659C2×C4—181no—
660C2×C4D3311yescharacteristic
661C8—92no—
662C8—272no—
663C2×C3—22no—
664C2×C3—22no—
665C2×C3—22no—
666C2×C3—21no—
667C2×C3—21no—
668C2×C3—21no—
669C2×C3—42no—
670C2×C3—41no—
671C2×C3—64no—
672C2×C3—62no—
673C2×C3—62no—
674C2×C3—122no—
675C2×C3—122no—
676C2×C3—242no—
677C2×C3—362no—
678C2×C3#6382212yescomplemented
679C2×C3#6393512yescomplemented
680C2×C3#6394712yescomplemented
681C2×C3C22×#62511yescharacteristic
682C2×C3C2×D3×#6711yescharacteristic
683C2×C3C2×D3×#6711yescharacteristic
684D3—22no—
685D3—42no—
686D3—122no—
687D3—122no—
688D3—242no—
689C22—32no—
690C22—62no—
691C22—62no—
692C22—122no—
693C22—182no—
694C22—362no—
695C22D3×#62511yescharacteristic
696C4—32no—
697C4—62no—
698C4—182no—
699C4D3×#62511yescharacteristic
700C4C2×D3311yescharacteristic
701C3—21no—
702C3—21no—
703C3—21no—
704C3—41no—
705C3C2×#6382211yescharacteristic, complemented
706C3C2×#6393511yescharacteristic, complemented
707C3C2×#6394711yescharacteristic, complemented
708C2—62no—
709C2—122no—
710C2—362no—
711C2#1172285112yesdirect product factor
712C2C2×D3×#62511yescharacteristic
subgroupG/H
centerC22D3×#625
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×C3×#3799C2semidirect
2. C2×C3×#3795C2semidirect
3. C2×#88811C2semidirect
4. C2×#88798C2semidirect
5. C2×#88789C2semidirect
6. C2×D3×C3⋊(C3⋊C8)C2semidirect
7. C2×C3×#3715C2semidirect
8. #11722851C2direct (N × H)
22. C3×#3799C22semidirect
24. C3×#3795C22semidirect
27. #88811C22semidirect
28. #88798C22semidirect
29. #88789C22semidirect
30. D3×C3⋊(C3⋊C8)C22semidirect
31. C3×#3715C22semidirect
36. C2×#3799D3semidirect
37. C2×#3795D3semidirect
51. C2×#3715D3semidirect
126. #3799C2×D3semidirect
128. #3795C2×D3semidirect
151. #3715C2×D3semidirect
292. C2×C33#135semidirect
435. C33C2×#135semidirect
540. C2×C32#916semidirect
541. C2×C32#950semidirect
542. C2×C32#950semidirect
637. C32C2×#916semidirect
638. C32C2×#950semidirect
639. C32C2×#950semidirect
678. C2×C3#63822semidirect
679. C2×C3#63935semidirect
680. C2×C3#63947semidirect
705. C3C2×#63822semidirect
706. C3C2×#63935semidirect
707. C3C2×#63947semidirect
711. C2#11722851direct (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×#37952
C2×#888112
C2×#887982
C2×#887892
C2×D3×C3⋊(C3⋊C8)2
C2×C3×#37152
#117228512
C2×#639473
C2×#639353
C2×#638223