Finite Group Databasebeta

← C2×#11722896 #13170698

Subgroups — C2×#11722896 #13170698

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×#89041C211yesmaximal, characteristic
2C2×C3⋊D3×Dic6C211yesmaximal, characteristic, complemented
3C2×#88800C211yesmaximal, characteristic, complemented
4C2×#88796C211yesmaximal, characteristic, complemented
5C2×C3×#3719C211yesmaximal, characteristic, complemented
6C2×C3×#3717C211yesmaximal, characteristic, complemented
7C2×C3×#3712C211yesmaximal, characteristic, complemented
8#11722896C218yesmaximal, direct product factor
9C2×#63951—31nomaximal
10C2×#63801—31nomaximal
11C2×#63800—31nomaximal
12C2×#6308C2211yescharacteristic
13C2×C3×C4⋊(C3⋊D3)C2211yescharacteristic
14C2×C3×C4×C3⋊D3C2211yescharacteristic
15C2×C3×#634C2211yescharacteristic
16C2×C32×Dic6C2211yescharacteristic
17C2×#6295—21no—
18C2×#6294—21no—
19#89041—22no—
20#89041C2214yes—
21C2×#6293—21no—
22C2×Dic3×C3⋊D3—21no—
23C3⋊D3×Dic6—22no—
24C3⋊D3×Dic6C2214yescomplemented
25C2×C32×C3⋊C8C2211yescharacteristic
26C2×C32×C3⋊C8C2211yescharacteristic
27#88800C2214yescomplemented
28#88796C2214yescomplemented
29C3×#3719C2214yescomplemented
30C3×#3717C2214yescomplemented
31C3×#3712C2214yescomplemented
32C2×Q8×C3⋊D3—31no—
33C2×#3799—31no—
34C2×#3796—31no—
35C2×#3795—31no—
36C2×D3×Dic6—31no—
37C2×D3×Dic6—31no—
38C2×D3×Dic6—61no—
39C2×#3746—31no—
40C2×#3744—31no—
41C2×C3×#216—31no—
42C2×C3×#215—31no—
43C2×C3×Dic12—31no—
44C2×C3×#204—31no—
45C2×C3×ΓL(1,𝔽25)—31no—
46C2×C3×ΓL(1,𝔽25)—31no—
47#63951—38no—
48C2×#3719—31no—
49C2×#3719—31no—
50C2×#3719—61no—
51C2×#3719D311yescharacteristic, complemented
52C2×#3717D311yescharacteristic, complemented
53C2×#3716—31no—
54C2×#3716—31no—
55C2×#3716—61no—
56C2×#3712D311yescharacteristic, complemented
57#63801—38no—
58#63800—38no—
59C22×C3×C3⋊D3—21no—
60C22×C3×C3⋊D3D411yescharacteristic
61C2×C33×C4C2311yescharacteristic
62C2×C3⋊(C3⋊Dic3)—21no—
63#6308—21no—
64#6308C2312yes—
65C2×C3×C3⋊Dic3—21no—
66C2×C3×C3⋊Dic3D411yescharacteristic
67C3×C4⋊(C3⋊D3)—21no—
68C3×C4⋊(C3⋊D3)C2312yes—
69C3×C4×C3⋊D3D412yes—
70C3×C4×C3⋊D3C2312yes—
71C3×#634—21no—
72C3×#634C2312yes—
73C2×C32×Dic3—21no—
74C32×Dic6—21no—
75C32×Dic6C2312yes—
76#6295—24no—
77#6294—24no—
78#6293—24no—
79Dic3×C3⋊D3—24no—
80C32×C3⋊C8C2312yes—
81C32×C3⋊C8C2312yes—
82C2×#918—91no—
83C2×#915—91no—
84C2×#909—91no—
85C2×C32×Q8—31no—
86Q8×C3⋊D3—34no—
87Q8×C3⋊D3—62no—
88C2×C4⋊(C3⋊D3)C2×D311yescharacteristic
89C2×C4×C3⋊D3—61no—
90C2×C4×C3⋊D3C2×D311yescharacteristic
91C2×#634—31no—
92C2×#634—31no—
93C2×#634—31no—
94C2×#634—61no—
95C2×#634—61no—
96C2×#634—61no—
97C2×#634—61no—
98C2×#634—121no—
99C2×#634C2×D311yescharacteristic
100C2×C3×D12—31no—
101C2×C3×D12—31no—
102C2×C3×D12—61no—
103C2×C3×C4×D3—31no—
104C2×C3×C4×D3—31no—
105C2×C3×C4×D3—61no—
106C2×C3×Dic6—21no—
107C2×C3×Dic6—31no—
108C2×C3×Dic6—31no—
109C2×C3×Dic6—61no—
110C2×C3×Dic6C2×D311yescharacteristic
111C2×C3×Dic6C2×D311yescharacteristic
112C2×#627—61no—
113C2×#627—61no—
114C2×#627—62no—
115C2×#626—61no—
116C2×#626—61no—
117C2×#625—61no—
118C2×#624—61no—
119C2×D3×Dic3—61no—
120C2×D3×Dic3—61no—
121C2×D3×Dic3—62no—
122C2×D3×Dic3—61no—
123C2×D3×Dic3—61no—
124#3799—34no—
125#3799—62no—
126#3796—34no—
127#3796—62no—
128#3795—34no—
129#3795—62no—
130D3×Dic6—34no—
131D3×Dic6—34no—
132D3×Dic6—62no—
133D3×Dic6—62no—
134D3×Dic6—64no—
135D3×Dic6—64no—
136C2×C32×C8—31no—
137C2×C32×C8—31no—
138#3746—34no—
139#3744—34no—
140C3×#216—34no—
141C3×#215—34no—
142C2×C3×C3⋊C8—21no—
143C2×C3×C3⋊C8—21no—
144C2×C3×C3⋊C8C2×D311yescharacteristic
145C2×C3×C3⋊C8C2×D311yescharacteristic
146C2×C3×C3⋊C8C2×D311yescharacteristic
147C2×C3×C3⋊C8C2×D311yescharacteristic
148C3×Dic12—34no—
149C3×#204—34no—
150C3×ΓL(1,𝔽25)—34no—
151C3×ΓL(1,𝔽25)—34no—
152#3719—34no—
153#3719—34no—
154#3719—64no—
155#3719C2×D314yescomplemented
156#3717C2×D314yescomplemented
157#3716—34no—
158#3716—34no—
159#3716—64no—
160#3712C2×D314yescomplemented
161C22×C33C2×D411yescharacteristic
162C2×C3×C3⋊D3—22no—
163C2×C3×C3⋊D3—22no—
164C2×C3×C3⋊D3—42no—
165C2×C3×C3⋊D3C2×D412yes—
166C33×C4C2×D411yescharacteristic
167C33×C4C2411yescharacteristic
168C3⋊(C3⋊Dic3)—22no—
169C3×C3⋊Dic3—22no—
170C3×C3⋊Dic3C2×D412yes—
171C32×Dic3—22no—
172C2×#239—91no—
173C2×D3×Q8—91no—
174C2×D3×Q8—91no—
175C2×D3×Q8—181no—
176C2×#237—91no—
177C2×#235—91no—
178C22×Dic6—91no—
179C2×C3×Q16—91no—
180C2×C3×SD16—91no—
181C2×C3×M16—91no—
182C2×#216—31no—
183C2×#216—91no—
184C2×#215—31no—
185C2×#214—91no—
186#918—98no—
187#915—98no—
188#909—98no—
189C2×Dic12—31no—
190C2×Dic12—91no—
191C2×Dic12—91no—
192C2×Dic12—181no—
193C2×#204—31no—
194C2×#204—91no—
195C2×#204—91no—
196C2×#204—181no—
197C2×ΓL(1,𝔽25)—31no—
198C2×ΓL(1,𝔽25)—31no—
199C22×C3⋊D3—21no—
200C22×C3⋊D3D1211yescharacteristic
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—32no—
208C32×Q8—61no—
209C2×C32×C4—21no—
210C2×C32×C4—21no—
211C2×C32×C4—21no—
212C2×C32×C4—41no—
213C2×C32×C4—61no—
214C2×C32×C4C22×D311yescharacteristic
215C2×C32×C4C22×D311yescharacteristic
216C2×C32×C4C22×D311yescharacteristic
217C2×C3⋊Dic3—21no—
218C2×C3⋊Dic3—61no—
219C2×C3⋊Dic3—62no—
220C2×C3⋊Dic3—61no—
221C2×C3⋊Dic3—61no—
222C2×C3⋊Dic3—121no—
223C2×C3⋊Dic3—121no—
224C2×C3⋊Dic3—122no—
225C2×C3⋊Dic3D1211yescharacteristic
226C4⋊(C3⋊D3)—21no—
227C4⋊(C3⋊D3)C22×D312yes—
228C4×C3⋊D3—64no—
229C4×C3⋊D3D1212yes—
230C4×C3⋊D3C22×D312yes—
231#634—21no—
232#634—32no—
233#634—32no—
234#634—32no—
235#634—62no—
236#634—62no—
237#634—62no—
238#634—61no—
239#634—64no—
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—22no—
249C2×C3×Dic3—21no—
250C2×C3×Dic3—21no—
251C2×C3×Dic3—31no—
252C2×C3×Dic3—31no—
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×Dic6—22no—
270C3×Dic6—21no—
271C3×Dic6—21no—
272C3×Dic6—22no—
273C3×Dic6—32no—
274C3×Dic6—32no—
275C3×Dic6—62no—
276C3×Dic6—61no—
277C3×Dic6—61no—
278C3×Dic6—121no—
279C3×Dic6C22×D312yes—
280C3×Dic6C22×D312yes—
281#627—64no—
282#627—64no—
283#627—68no—
284#626—64no—
285#626—64no—
286#625—64no—
287#624—64no—
288D3×Dic3—64no—
289D3×Dic3—64no—
290D3×Dic3—68no—
291D3×Dic3—64no—
292D3×Dic3—64no—
293C32×C8—32no—
294C32×C8—32no—
295C3×C3⋊C8—22no—
296C3×C3⋊C8—22no—
297C3×C3⋊C8C22×D312yes—
298C3×C3⋊C8C22×D312yes—
299C3×C3⋊C8C22×D312yes—
300C3×C3⋊C8C22×D312yes—
301C2×#137—271noSylow
302C2×C33#13712yescomplemented
303C2×C33C22×D411yescharacteristic
304C3×C3⋊D3—22no—
305C3×C3⋊D3—42no—
306C2×C3×Q8—31no—
307C2×C3×Q8—31no—
308C2×C3×Q8—61no—
309C2×C3×Q8—91no—
310C2×C3×D4—91no—
311C22×C3×C4—91no—
312C2×#67—181no—
313C2×#67—181no—
314C22×Dic3—181no—
315C22×Dic3—181no—
316#239—94no—
317#239—182no—
318D3×Q8—94no—
319D3×Q8—94no—
320D3×Q8—184no—
321D3×Q8—182no—
322D3×Q8—182no—
323D3×Q8—184no—
324#237—94no—
325#237—182no—
326#235—94no—
327#235—182no—
328C2×D12—31no—
329C2×D12—31no—
330C2×D12—61no—
331C2×D12—181no—
332C2×C4×D3—31no—
333C2×C4×D3—31no—
334C2×C4×D3—61no—
335C2×C4×D3—181no—
336C2×C4×D3—181no—
337C2×C4×D3—181no—
338C2×C4×D3—181no—
339C2×C4×D3—182no—
340C2×Dic6—31no—
341C2×Dic6—31no—
342C2×Dic6—61no—
343C2×Dic6—91no—
344C2×Dic6—91no—
345C2×Dic6—91no—
346C2×Dic6—94no—
347C2×Dic6—181no—
348C2×Dic6—181no—
349C2×Dic6—181no—
350C2×Dic6—182no—
351C2×Dic6—181no—
352C2×Dic6—181no—
353C2×Dic6—181no—
354C2×Dic6—182no—
355C2×Dic6—361no—
356C2×Dic6D3211yescharacteristic
357C3×Q16—94no—
358C3×SD16—94no—
359C3×M16—94no—
360C2×C3×C8—31no—
361C2×C3×C8—31no—
362C2×C3×C8—31no—
363C2×C3×C8—31no—
364C2×C3×C8—61no—
365C2×C3×C8—61no—
366#216—34no—
367#216—94no—
368#215—34no—
369#214—94no—
370C2×C3⋊C8D3211yescharacteristic
371C2×C3⋊C8D3211yescharacteristic
372Dic12—34no—
373Dic12—94no—
374Dic12—94no—
375Dic12—184no—
376#204—34no—
377#204—94no—
378#204—94no—
379#204—184no—
380ΓL(1,𝔽25)—34no—
381ΓL(1,𝔽25)—34no—
382C22×C32—21no—
383C22×C32—21no—
384C22×C32—21no—
385C22×C32—41no—
386C22×C32C2×D1211yescharacteristic
387C22×C32D3×D411yescharacteristic
388C22×C32D3×D411yescharacteristic
389C2×C3⋊D3—22no—
390C2×C3⋊D3—22no—
391C2×C3⋊D3—42no—
392C2×C3⋊D3C2×D1212yes—
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—21no—
406C32×C4—21no—
407C32×C4—21no—
408C32×C4—21no—
409C32×C4—21no—
410C32×C4—21no—
411C32×C4—41no—
412C32×C4—41no—
413C32×C4—62no—
414C32×C4C2×D1211yescharacteristic
415C32×C4D3×D411yescharacteristic
416C32×C4D3×D411yescharacteristic
417C32×C4C23×D311yescharacteristic
418C32×C4C23×D311yescharacteristic
419C32×C4C23×D311yescharacteristic
420C3⋊Dic3—22no—
421C3⋊Dic3—62no—
422C3⋊Dic3—64no—
423C3⋊Dic3—62no—
424C3⋊Dic3—62no—
425C3⋊Dic3—122no—
426C3⋊Dic3—122no—
427C3⋊Dic3—124no—
428C3⋊Dic3C2×D1212yes—
429C3×Dic3—24no—
430C3×Dic3—22no—
431C3×Dic3—22no—
432C3×Dic3—32no—
433C3×Dic3—32no—
434C3×Dic3—62no—
435C3×Dic3—62no—
436C3×Dic3—62no—
437C3×Dic3—122no—
438C2×#41—271no—
439C22×Q8—271no—
440#137—278no—
441C2×Q16—91no—
442C2×Q16—271no—
443C2×SD16—91no—
444C2×SD16—271no—
445C2×M16—91no—
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—32no—
456C3×Q8—32no—
457C3×Q8—62no—
458C3×Q8—62no—
459C3×Q8—61no—
460C3×Q8—61no—
461C3×Q8—92no—
462C3×Q8—181no—
463C3×D4—92no—
464C3×D4—181no—
465C2×C3×C4—21no—
466C2×C3×C4—21no—
467C2×C3×C4—21no—
468C2×C3×C4—41no—
469C2×C3×C4—62no—
470C2×C3×C4—61no—
471C2×C3×C4—61no—
472C2×C3×C4—91no—
473C2×C3×C4—92no—
474C2×C3×C4—92no—
475C2×C3×C4—181no—
476C2×C3×C4C2×D3211yescharacteristic
477C2×C3×C4C2×D3211yescharacteristic
478C2×C3×C4C2×D3211yescharacteristic
479#67—184no—
480#67—184no—
481C2×Dic3—21no—
482C2×Dic3—31no—
483C2×Dic3—31no—
484C2×Dic3—61no—
485C2×Dic3—61no—
486C2×Dic3—61no—
487C2×Dic3—121no—
488C2×Dic3—184no—
489C2×Dic3—184no—
490C2×Dic3—182no—
491C2×Dic3—181no—
492C2×Dic3—181no—
493C2×Dic3—181no—
494C2×Dic3—361no—
495C2×Dic3—361no—
496C2×Dic3—362no—
497D12—32no—
498D12—32no—
499D12—62no—
500D12—61no—
501D12—61no—
502D12—121no—
503D12—184no—
504C4×D3—32no—
505C4×D3—32no—
506C4×D3—32no—
507C4×D3—32no—
508C4×D3—62no—
509C4×D3—62no—
510C4×D3—184no—
511C4×D3—184no—
512C4×D3—184no—
513C4×D3—184no—
514C4×D3—188no—
515Dic6—21no—
516Dic6—32no—
517Dic6—32no—
518Dic6—62no—
519Dic6—61no—
520Dic6—61no—
521Dic6—92no—
522Dic6—92no—
523Dic6—92no—
524Dic6—121no—
525Dic6—182no—
526Dic6—182no—
527Dic6—182no—
528Dic6—184no—
529Dic6—184no—
530Dic6—184no—
531Dic6—188no—
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—32no—
544C3×C8—32no—
545C3×C8—62no—
546C3×C8—62no—
547C3⋊C8C2×D3212yes—
548C3⋊C8C2×D3212yes—
549C2×C32—21no—
550C2×C32—21no—
551C2×C32—22no—
552C2×C32—22no—
553C2×C32—21no—
554C2×C32—22no—
555C2×C32—42no—
556C2×C32—41no—
557C2×C32#90912yescomplemented
558C2×C32#91512yescomplemented
559C2×C32#91812yescomplemented
560C2×C32C22×D1211yescharacteristic
561C2×C32C2×D3×D411yescharacteristic
562C2×C32C2×D3×D411yescharacteristic
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—31no—
574C2×Q8—91no—
575C2×Q8—274no—
576C2×Q8—271no—
577C2×Q8—541no—
578C2×Q8—542no—
579C2×D4—91no—
580C2×D4—541no—
581C22×C4—91no—
582C22×C4—541no—
583C22×C4—541no—
584Q16—94no—
585Q16—274no—
586SD16—94no—
587SD16—274no—
588M16—94no—
589C2×C8—31no—
590C2×C8—31no—
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×D1211yescharacteristic
600C22×C3D3×D1211yescharacteristic
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—21no—
615C3×C4—21no—
616C3×C4—21no—
617C3×C4—21no—
618C3×C4—21no—
619C3×C4—21no—
620C3×C4—41no—
621C3×C4—41no—
622C3×C4—64no—
623C3×C4—62no—
624C3×C4—62no—
625C3×C4—92no—
626C3×C4—182no—
627C3×C4D3×D1211yescharacteristic
628C3×C4D3×D1211yescharacteristic
629C3×C4#381111yescharacteristic
630C3×C4C22×D3211yescharacteristic
631C3×C4C22×D3211yescharacteristic
632C3×C4C22×D3211yescharacteristic
633Dic3—22no—
634Dic3—32no—
635Dic3—32no—
636Dic3—62no—
637Dic3—62no—
638Dic3—62no—
639Dic3—122no—
640Dic3—184no—
641Dic3—182no—
642Dic3—182no—
643Dic3—182no—
644Dic3—362no—
645Dic3—362no—
646Dic3—364no—
647C32—21no—
648C32—21no—
649C32—21no—
650C32—41no—
651C32C2×#90911yescharacteristic, complemented
652C32C2×#91511yescharacteristic, complemented
653C32C2×#91811yescharacteristic, complemented
654C23—91no—
655C23—181no—
656Q8—32no—
657Q8—61no—
658Q8—92no—
659Q8—181no—
660Q8—272no—
661Q8—544no—
662Q8—541no—
663D4—92no—
664D4—181no—
665D4—544no—
666C2×C4—61no—
667C2×C4—91no—
668C2×C4—92no—
669C2×C4—92no—
670C2×C4—181no—
671C2×C4—544no—
672C2×C4—544no—
673C2×C4—541no—
674C2×C4D3311yescharacteristic
675C8—32no—
676C8—32no—
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#6380012yescomplemented
688C2×C3#6380112yescomplemented
689C2×C3#6395112yescomplemented
690C2×C3C2×D3×D1211yescharacteristic
691C2×C3C2×D3×D1211yescharacteristic
692C2×C3C2×#381111yescharacteristic
693D3—64no—
694D3—62no—
695D3—62no—
696D3—122no—
697D3—122no—
698D3—242no—
699C22—92no—
700C22—182no—
701C22—182no—
702C22—362no—
703C22#8895511yescharacteristic
704C4—62no—
705C4—92no—
706C4—182no—
707C4—542no—
708C4#8895511yescharacteristic
709C4C2×D3311yescharacteristic
710C3—21no—
711C3—21no—
712C3—21no—
713C3—41no—
714C3C2×#6380011yescharacteristic, complemented
715C3C2×#6380111yescharacteristic, complemented
716C3C2×#6395111yescharacteristic, complemented
717C2—182no—
718C2—362no—
719C2#1172289612yesdirect product factor
720C2C2×#8895511yescharacteristic
subgroupG/H
centerC22#88955
commutator, cosocleC33×C4C24
FrattiniC4C2×D33
FittingC2×C33×C4C23
socleC22×C33C2×D4
prime radicalC2×#89041C2
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×#88800C2semidirect
4. C2×#88796C2semidirect
5. C2×C3×#3719C2semidirect
6. C2×C3×#3717C2semidirect
7. C2×C3×#3712C2semidirect
8. #11722896C2direct (N × H)
24. C3⋊D3×Dic6C22semidirect
27. #88800C22semidirect
28. #88796C22semidirect
29. C3×#3719C22semidirect
30. C3×#3717C22semidirect
31. C3×#3712C22semidirect
51. C2×#3719D3semidirect
52. C2×#3717D3semidirect
56. C2×#3712D3semidirect
155. #3719C2×D3semidirect
156. #3717C2×D3semidirect
160. #3712C2×D3semidirect
302. C2×C33#137semidirect
446. C33C2×#137semidirect
557. C2×C32#909semidirect
558. C2×C32#915semidirect
559. C2×C32#918semidirect
651. C32C2×#909semidirect
652. C32C2×#915semidirect
653. C32C2×#918semidirect
687. C2×C3#63800semidirect
688. C2×C3#63801semidirect
689. C2×C3#63951semidirect
714. C3C2×#63800semidirect
715. C3C2×#63801semidirect
716. C3C2×#63951semidirect
719. C2#11722896direct (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⋊D3×Dic62
C2×#888002
C2×#887962
C2×C3×#37192
C2×C3×#37172
C2×C3×#37122
#117228962
C2×#639513
C2×#638013
C2×#638003