Finite Group Databasebeta

← C2×#11722859 #13170622

Subgroups — C2×#11722859 #13170622

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×#89041C211yesmaximal, characteristic, complemented
2C2×C3×#3796C211yesmaximal, characteristic, complemented
3C2×#88798C211yesmaximal, characteristic, complemented
4C2×#88789C211yesmaximal, characteristic, complemented
5C2×C3⋊D3×C3⋊C8C211yesmaximal, characteristic, complemented
6C2×C3×#3717C211yesmaximal, characteristic, complemented
7C2×C3×#3716C211yesmaximal, characteristic, complemented
8#11722859C218yesmaximal, direct product factor
9C2×#63947—31nomaximal
10C2×#63935—31nomaximal
11C2×#63809—31nomaximal
12C2×C3×C4⋊(C3⋊D3)C2211yescharacteristic
13C2×C3×C4×C3⋊D3C2211yescharacteristic
14C2×C3×#634C2211yescharacteristic
15C2×C32×D12C2211yescharacteristic
16C2×C32×Dic6C2211yescharacteristic
17C2×#6295—21no—
18C2×#6294—21no—
19#89041—22no—
20#89041C2214yescomplemented
21C2×C3×#626—21no—
22C2×C3×D3×Dic3—21no—
23C3×#3796—22no—
24C3×#3796C2214yescomplemented
25C2×C3⋊(C3⋊(C3⋊C8))C2211yescharacteristic
26C2×C32×C3⋊C8C2211yescharacteristic
27#88798C2214yescomplemented
28#88789C2214yescomplemented
29C3⋊D3×C3⋊C8C2214yescomplemented
30C3×#3717C2214yescomplemented
31C3×#3716C2214yescomplemented
32C2×C3×#239—31no—
33C2×C3×#237—31no—
34C2×#3799—31no—
35C2×#3796—31no—
36C2×#3796D311yescharacteristic, complemented
37C2×#3795—31no—
38C2×#3756—31no—
39C2×#3753—31no—
40C2×C8×C3⋊D3—31no—
41C2×C3×#215—31no—
42C2×C3×#214—31no—
43C2×C3×#204—31no—
44C2×C3×#204—31no—
45#63947—38no—
46#63935—38no—
47C2×#3718—31no—
48C2×#3718—31no—
49C2×#3718—61no—
50C2×#3717D311yescharacteristic, complemented
51C2×#3716D311yescharacteristic, complemented
52C2×#3713—31no—
53C2×#3713—31no—
54C2×#3713—61no—
55C2×D3×C3⋊C8—31no—
56C2×D3×C3⋊C8—31no—
57C2×D3×C3⋊C8—61no—
58#63809—38no—
59C22×C3×C3⋊D3—21no—
60C22×C3×C3⋊D3D411yescharacteristic
61C22×C32×D3—21no—
62C2×C33×C4C2311yescharacteristic
63C2×C3×C3⋊Dic3—21no—
64C2×C3×C3⋊Dic3D411yescharacteristic
65C3×C4⋊(C3⋊D3)—21no—
66C3×C4⋊(C3⋊D3)C2312yes—
67C3×C4×C3⋊D3D412yes—
68C3×C4×C3⋊D3C2312yes—
69C3×#634—21no—
70C3×#634C2312yes—
71C2×C32×Dic3—21no—
72C32×D12—21no—
73C32×D12C2312yes—
74C32×Dic6—21no—
75C32×Dic6C2312yes—
76#6295—24no—
77#6294—24no—
78C3×#626—24no—
79C3×D3×Dic3—24no—
80C3⋊(C3⋊(C3⋊C8))C2312yes—
81C32×C3⋊C8C2312yes—
82C2×#950—91no—
83C2×#916—91no—
84C2×#916—91no—
85C2×C32×Q8—31no—
86C2×C32×D4—31no—
87C2×C4⋊(C3⋊D3)C2×D311yescharacteristic
88C2×C4×C3⋊D3C2×D311yescharacteristic
89C2×#634C2×D311yescharacteristic
90C2×C3×#67—61no—
91C22×C3×Dic3—61no—
92C3×#239—34no—
93C3×#239—62no—
94C3×#237—34no—
95C3×#237—62no—
96C2×C3×D12—21no—
97C2×C3×D12—31no—
98C2×C3×D12—31no—
99C2×C3×D12—61no—
100C2×C3×D12—61no—
101C2×C3×D12C2×D311yescharacteristic
102C2×C3×D12C2×D311yescharacteristic
103C2×C3×C4×D3—31no—
104C2×C3×C4×D3—31no—
105C2×C3×C4×D3—61no—
106C2×C3×C4×D3—61no—
107C2×C3×Dic6—21no—
108C2×C3×Dic6—31no—
109C2×C3×Dic6—31no—
110C2×C3×Dic6—61no—
111C2×C3×Dic6C2×D311yescharacteristic
112C2×C3×Dic6C2×D311yescharacteristic
113C2×#626—21no—
114C2×#626—61no—
115C2×#626—61no—
116C2×#625—61no—
117C2×#624—61no—
118C2×D3×Dic3—21no—
119C2×D3×Dic3—61no—
120C2×D3×Dic3—61no—
121#3799—34no—
122#3799—62no—
123#3796—22no—
124#3796—34no—
125#3796—62no—
126#3796C2×D314yescomplemented
127#3795—34no—
128#3795—62no—
129C2×C32×C8—31no—
130#3756—34no—
131#3753—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—
139C8×C3⋊D3—34no—
140C3×#215—34no—
141C3×#214—34no—
142C2×C3×C3⋊C8—21no—
143C2×C3×C3⋊C8C2×D311yescharacteristic
144C2×C3×C3⋊C8C2×D311yescharacteristic
145C3×#204—34no—
146C3×#204—34no—
147#3718—34no—
148#3718—34no—
149#3718—64no—
150#3717C2×D314yescomplemented
151#3716C2×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—22no—
161C2×C3×C3⋊D3—42no—
162C2×C3×C3⋊D3C2×D412yes—
163C2×C32×D3—22no—
164C2×C32×D3—42no—
165C33×C4C2×D411yescharacteristic
166C33×C4C2411yescharacteristic
167C3×C3⋊Dic3—22no—
168C3×C3⋊Dic3C2×D412yes—
169C32×Dic3—22no—
170C2×C3×#41—91no—
171C2×#239—31no—
172C2×#239—91no—
173C2×#237—31no—
174C2×#237—91no—
175C2×#235—91no—
176C2×C3×SD16—91no—
177C2×C3×SD16—91no—
178#950—98no—
179C2×#216—91no—
180C2×#216—91no—
181C2×#216—91no—
182C2×#216—181no—
183C2×#215—31no—
184C2×#214—31no—
185C2×#213—91no—
186C2×#213—91no—
187C2×#213—91no—
188C2×#213—181no—
189C22×C3⋊C8—91no—
190#916—98no—
191#916—98no—
192C2×#204—31no—
193C2×#204—31no—
194C2×D3×C8—91no—
195C2×D3×C8—91no—
196C2×D3×C8—181no—
197C23×C32—61no—
198C22×C3⋊D3—21no—
199C22×C3⋊D3#6711yescharacteristic
200C22×C3×D3—21no—
201C22×C3×D3—21no—
202C22×C3×D3—31no—
203C22×C3×D3—31no—
204C22×C3×D3—41no—
205C22×C3×D3—61no—
206C22×C3×D3—61no—
207C22×C3×D3—61no—
208C22×C3×D3—121no—
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—41no—
217C2×C32×C4—61no—
218C2×C32×C4C22×D311yescharacteristic
219C2×C32×C4C22×D311yescharacteristic
220C2×C32×C4C22×D311yescharacteristic
221C2×C3⋊Dic3—21no—
222C2×C3⋊Dic3#6711yescharacteristic
223C4⋊(C3⋊D3)—21no—
224C4⋊(C3⋊D3)C22×D312yes—
225C4×C3⋊D3#6712yes—
226C4×C3⋊D3C22×D312yes—
227#634—21no—
228#634C22×D312yes—
229C3×#67—64no—
230C2×C3×Dic3—21no—
231C2×C3×Dic3—21no—
232C2×C3×Dic3—31no—
233C2×C3×Dic3—31no—
234C2×C3×Dic3—41no—
235C2×C3×Dic3—61no—
236C2×C3×Dic3—64no—
237C2×C3×Dic3—61no—
238C2×C3×Dic3—61no—
239C2×C3×Dic3—121no—
240C3×D12—21no—
241C3×D12—21no—
242C3×D12—22no—
243C3×D12—32no—
244C3×D12—32no—
245C3×D12—41no—
246C3×D12—62no—
247C3×D12—64no—
248C3×D12—61no—
249C3×D12—61no—
250C3×D12—121no—
251C3×D12C22×D312yes—
252C3×D12C22×D312yes—
253C3×C4×D3—32no—
254C3×C4×D3—32no—
255C3×C4×D3—32no—
256C3×C4×D3—32no—
257C3×C4×D3—62no—
258C3×C4×D3—62no—
259C3×C4×D3—64no—
260C3×Dic6—21no—
261C3×Dic6—21no—
262C3×Dic6—22no—
263C3×Dic6—32no—
264C3×Dic6—32no—
265C3×Dic6—41no—
266C3×Dic6—62no—
267C3×Dic6—61no—
268C3×Dic6—61no—
269C3×Dic6—121no—
270C3×Dic6C22×D312yes—
271C3×Dic6C22×D312yes—
272#626—24no—
273#626—64no—
274#626—64no—
275#625—64no—
276#624—64no—
277D3×Dic3—24no—
278D3×Dic3—64no—
279D3×Dic3—64no—
280C32×C8—32no—
281C3⋊(C3⋊C8)—32no—
282C3⋊(C3⋊C8)—32no—
283C3⋊(C3⋊C8)—32no—
284C3⋊(C3⋊C8)—62no—
285C3⋊(C3⋊C8)—62no—
286C3⋊(C3⋊C8)—62no—
287C3⋊(C3⋊C8)—122no—
288C3×C3⋊C8—22no—
289C3×C3⋊C8C22×D312yes—
290C3×C3⋊C8C22×D312yes—
291C2×#135—271noSylow
292C2×C33#13512yescomplemented
293C2×C33C22×D411yescharacteristic
294C3×C3⋊D3—22no—
295C3×C3⋊D3—42no—
296C32×D3—42no—
297C3×#41—94no—
298C3×#41—182no—
299C2×C3×Q8—31no—
300C2×C3×Q8—31no—
301C2×C3×Q8—61no—
302C2×C3×Q8—91no—
303C2×C3×D4—31no—
304C2×C3×D4—31no—
305C2×C3×D4—61no—
306C2×C3×D4—91no—
307C2×C3×D4—181no—
308C22×C3×C4—91no—
309C22×C3×C4—181no—
310C2×#67—61no—
311C2×#67—181no—
312C2×#67—181no—
313C22×Dic3—61no—
314C22×Dic3—181no—
315#239—34no—
316#239—62no—
317#239—94no—
318#239—182no—
319#237—34no—
320#237—62no—
321#237—94no—
322#237—182no—
323#235—94no—
324#235—182no—
325C2×D12—31no—
326C2×D12—31no—
327C2×D12—61no—
328C2×D12—61no—
329C2×D12—181no—
330C2×D12D3211yescharacteristic
331C2×C4×D3—31no—
332C2×C4×D3—31no—
333C2×C4×D3—61no—
334C2×C4×D3—61no—
335C2×C4×D3—181no—
336C2×C4×D3—181no—
337C2×Dic6—31no—
338C2×Dic6—31no—
339C2×Dic6—61no—
340C2×Dic6D3211yescharacteristic
341C3×SD16—94no—
342C3×SD16—94no—
343C2×C3×C8—31no—
344C2×C3×C8—31no—
345C2×C3×C8—61no—
346#216—94no—
347#216—94no—
348#216—94no—
349#216—184no—
350#215—34no—
351#214—34no—
352#213—94no—
353#213—94no—
354#213—94no—
355#213—184no—
356C2×C3⋊C8—91no—
357C2×C3⋊C8—91no—
358C2×C3⋊C8—91no—
359C2×C3⋊C8—94no—
360C2×C3⋊C8—181no—
361C2×C3⋊C8—181no—
362C2×C3⋊C8—181no—
363C2×C3⋊C8—361no—
364C2×C3⋊C8D3211yescharacteristic
365#204—34no—
366#204—34no—
367D3×C8—94no—
368D3×C8—94no—
369D3×C8—184no—
370C22×C32—21no—
371C22×C32—21no—
372C22×C32—21no—
373C22×C32—41no—
374C22×C32—62no—
375C22×C32—122no—
376C22×C32D3×D411yescharacteristic
377C22×C32D3×D411yescharacteristic
378C22×C32C2×#6711yescharacteristic
379C2×C3⋊D3—22no—
380C2×C3⋊D3—22no—
381C2×C3⋊D3—42no—
382C2×C3⋊D3C2×#6712yes—
383C2×C3×D3—22no—
384C2×C3×D3—22no—
385C2×C3×D3—32no—
386C2×C3×D3—32no—
387C2×C3×D3—42no—
388C2×C3×D3—42no—
389C2×C3×D3—42no—
390C2×C3×D3—62no—
391C2×C3×D3—64no—
392C2×C3×D3—62no—
393C2×C3×D3—62no—
394C2×C3×D3—62no—
395C2×C3×D3—62no—
396C2×C3×D3—82no—
397C2×C3×D3—122no—
398C2×C3×D3—122no—
399C2×C3×D3—122no—
400C2×C3×D3—242no—
401C32×C4—21no—
402C32×C4—21no—
403C32×C4—21no—
404C32×C4—21no—
405C32×C4—21no—
406C32×C4—21no—
407C32×C4—41no—
408C32×C4—41no—
409C32×C4—62no—
410C32×C4D3×D411yescharacteristic
411C32×C4D3×D411yescharacteristic
412C32×C4C2×#6711yescharacteristic
413C32×C4C23×D311yescharacteristic
414C32×C4C23×D311yescharacteristic
415C32×C4C23×D311yescharacteristic
416C3⋊Dic3—22no—
417C3⋊Dic3C2×#6712yes—
418C3×Dic3—22no—
419C3×Dic3—22no—
420C3×Dic3—32no—
421C3×Dic3—32no—
422C3×Dic3—42no—
423C3×Dic3—62no—
424C3×Dic3—62no—
425C3×Dic3—62no—
426C3×Dic3—122no—
427C2×#41—91no—
428C2×#41—271no—
429#135—278no—
430C2×Q16—271no—
431C2×SD16—91no—
432C2×SD16—91no—
433C2×D8—271no—
434C22×C8—271no—
435C33C2×#13511yescharacteristic, complemented, Sylow
436C23×C3—61no—
437C23×C3—61no—
438C23×C3—91no—
439C23×C3—121no—
440C23×C3—181no—
441C22×D3—21no—
442C22×D3—31no—
443C22×D3—31no—
444C22×D3—61no—
445C22×D3—61no—
446C22×D3—61no—
447C22×D3—121no—
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—181no—
465C2×C3×C4—21no—
466C2×C3×C4—21no—
467C2×C3×C4—21no—
468C2×C3×C4—41no—
469C2×C3×C4—61no—
470C2×C3×C4—61no—
471C2×C3×C4—91no—
472C2×C3×C4—92no—
473C2×C3×C4—92no—
474C2×C3×C4—121no—
475C2×C3×C4—184no—
476C2×C3×C4—181no—
477C2×C3×C4C2×D3211yescharacteristic
478C2×C3×C4C2×D3211yescharacteristic
479C2×C3×C4C2×D3211yescharacteristic
480#67—64no—
481#67—184no—
482#67—184no—
483C2×Dic3—21no—
484C2×Dic3—31no—
485C2×Dic3—31no—
486C2×Dic3—61no—
487C2×Dic3—64no—
488C2×Dic3—61no—
489C2×Dic3—61no—
490C2×Dic3—121no—
491C2×Dic3—184no—
492D12—21no—
493D12—32no—
494D12—32no—
495D12—62no—
496D12—64no—
497D12—61no—
498D12—61no—
499D12—121no—
500D12—184no—
501D12C2×D3212yes—
502C4×D3—32no—
503C4×D3—32no—
504C4×D3—32no—
505C4×D3—32no—
506C4×D3—62no—
507C4×D3—62no—
508C4×D3—64no—
509C4×D3—184no—
510C4×D3—184no—
511Dic6—21no—
512Dic6—32no—
513Dic6—32no—
514Dic6—62no—
515Dic6—61no—
516Dic6—61no—
517Dic6—121no—
518Dic6C2×D3212yes—
519C3×C8—32no—
520C3×C8—32no—
521C3×C8—62no—
522C3⋊C8—92no—
523C3⋊C8—92no—
524C3⋊C8—92no—
525C3⋊C8—182no—
526C3⋊C8—182no—
527C3⋊C8—182no—
528C3⋊C8—362no—
529C3⋊C8C2×D3212yes—
530C2×C32—21no—
531C2×C32—22no—
532C2×C32—21no—
533C2×C32—21no—
534C2×C32—22no—
535C2×C32—22no—
536C2×C32—42no—
537C2×C32—41no—
538C2×C32—122no—
539C2×C32#91612yescomplemented
540C2×C32#91612yescomplemented
541C2×C32#95012yescomplemented
542C2×C32C2×D3×D411yescharacteristic
543C2×C32C2×D3×D411yescharacteristic
544C2×C32C22×#6711yescharacteristic
545C3⋊D3—22no—
546C3⋊D3—42no—
547C3×D3—42no—
548C3×D3—42no—
549C3×D3—64no—
550C3×D3—62no—
551C3×D3—62no—
552C3×D3—82no—
553C3×D3—122no—
554C3×D3—122no—
555C3×D3—242no—
556#41—94no—
557#41—182no—
558#41—274no—
559#41—542no—
560C2×Q8—31no—
561C2×Q8—91no—
562C2×D4—31no—
563C2×D4—91no—
564C2×D4—181no—
565C2×D4—541no—
566C22×C4—91no—
567C22×C4—181no—
568C22×C4—541no—
569Q16—274no—
570SD16—94no—
571SD16—94no—
572D8—274no—
573C2×C8—31no—
574C2×C8—274no—
575C2×C8—271no—
576C22×C3—21no—
577C22×C3—21no—
578C22×C3—21no—
579C22×C3—41no—
580C22×C3—62no—
581C22×C3—62no—
582C22×C3—92no—
583C22×C3—122no—
584C22×C3—122no—
585C22×C3—122no—
586C22×C3—182no—
587C22×C3—182no—
588C22×C3—242no—
589C22×C3—362no—
590C22×C3#380211yescharacteristic
591C22×C3D3×#6711yescharacteristic
592C22×C3D3×#6711yescharacteristic
593C2×D3—22no—
594C2×D3—32no—
595C2×D3—32no—
596C2×D3—42no—
597C2×D3—62no—
598C2×D3—64no—
599C2×D3—62no—
600C2×D3—62no—
601C2×D3—62no—
602C2×D3—62no—
603C2×D3—122no—
604C2×D3—122no—
605C2×D3—122no—
606C2×D3—242no—
607C3×C4—21no—
608C3×C4—21no—
609C3×C4—21no—
610C3×C4—21no—
611C3×C4—21no—
612C3×C4—21no—
613C3×C4—41no—
614C3×C4—41no—
615C3×C4—62no—
616C3×C4—62no—
617C3×C4—92no—
618C3×C4—122no—
619C3×C4—182no—
620C3×C4#380211yescharacteristic
621C3×C4D3×#6711yescharacteristic
622C3×C4D3×#6711yescharacteristic
623C3×C4C22×D3211yescharacteristic
624C3×C4C22×D3211yescharacteristic
625C3×C4C22×D3211yescharacteristic
626Dic3—22no—
627Dic3—32no—
628Dic3—32no—
629Dic3—62no—
630Dic3—62no—
631Dic3—62no—
632Dic3—122no—
633C32—21no—
634C32—21no—
635C32—21no—
636C32—41no—
637C32C2×#91611yescharacteristic, complemented
638C32C2×#91611yescharacteristic, complemented
639C32C2×#95011yescharacteristic, complemented
640C23—61no—
641C23—91no—
642C23—181no—
643Q8—32no—
644Q8—61no—
645Q8—92no—
646Q8—181no—
647D4—32no—
648D4—61no—
649D4—92no—
650D4—184no—
651D4—181no—
652D4—544no—
653C2×C4—61no—
654C2×C4—91no—
655C2×C4—92no—
656C2×C4—92no—
657C2×C4—184no—
658C2×C4—181no—
659C2×C4—544no—
660C2×C4D3311yescharacteristic
661C8—32no—
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—122no—
672C2×C3—122no—
673C2×C3—182no—
674C2×C3—242no—
675C2×C3—362no—
676C2×C3#6380912yescomplemented
677C2×C3#6393512yescomplemented
678C2×C3#6394712yescomplemented
679C2×C3C2×#380211yescharacteristic
680C2×C3C2×D3×#6711yescharacteristic
681C2×C3C2×D3×#6711yescharacteristic
682D3—42no—
683D3—64no—
684D3—62no—
685D3—62no—
686D3—122no—
687D3—122no—
688D3—242no—
689C22—62no—
690C22—92no—
691C22—122no—
692C22—182no—
693C22—182no—
694C22—362no—
695C22#8895311yescharacteristic
696C4—62no—
697C4—92no—
698C4—182no—
699C4#8895311yescharacteristic
700C4C2×D3311yescharacteristic
701C3—21no—
702C3—21no—
703C3—21no—
704C3—41no—
705C3C2×#6380911yescharacteristic, complemented
706C3C2×#6393511yescharacteristic, complemented
707C3C2×#6394711yescharacteristic, complemented
708C2—122no—
709C2—182no—
710C2—362no—
711C2#1172285912yesdirect product factor
712C2C2×#8895311yescharacteristic
subgroupG/H
centerC22#88953
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×C3×#3796C2semidirect
3. C2×#88798C2semidirect
4. C2×#88789C2semidirect
5. C2×C3⋊D3×C3⋊C8C2semidirect
6. C2×C3×#3717C2semidirect
7. C2×C3×#3716C2semidirect
8. #11722859C2direct (N × H)
20. #89041C22semidirect
24. C3×#3796C22semidirect
27. #88798C22semidirect
28. #88789C22semidirect
29. C3⋊D3×C3⋊C8C22semidirect
30. C3×#3717C22semidirect
31. C3×#3716C22semidirect
36. C2×#3796D3semidirect
50. C2×#3717D3semidirect
51. C2×#3716D3semidirect
126. #3796C2×D3semidirect
150. #3717C2×D3semidirect
151. #3716C2×D3semidirect
292. C2×C33#135semidirect
435. C33C2×#135semidirect
539. C2×C32#916semidirect
540. C2×C32#916semidirect
541. C2×C32#950semidirect
637. C32C2×#916semidirect
638. C32C2×#916semidirect
639. C32C2×#950semidirect
676. C2×C3#63809semidirect
677. C2×C3#63935semidirect
678. C2×C3#63947semidirect
705. C3C2×#63809semidirect
706. C3C2×#63935semidirect
707. C3C2×#63947semidirect
711. C2#11722859direct (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×C3×#37962
C2×#887982
C2×#887892
C2×C3⋊D3×C3⋊C82
C2×C3×#37172
C2×C3×#37162
#117228592
C2×#639473
C2×#639353
C2×#638093