Finite Group Databasebeta

← C2×D3×#809 #11857726

Subgroups — C2×D3×#809 #11857726

Order 1152.

2245 conjugacy classes of subgroups.

The subgroup lattice has 621 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×D3×D12C211yesmaximal, characteristic
2C2×C3×D3×C4⋊C4C211yesmaximal, characteristic, complemented
3C22×D3×C3⋊C8C211yesmaximal, characteristic, complemented
4C2×#63636C211yesmaximal, characteristic, complemented
5C2×C3×#809C211yesmaximal, characteristic, complemented
6C2×#63564C211yesmaximal, characteristic, complemented
7C2×#63562C211yesmaximal, characteristic, complemented
8D3×#809C218yesmaximal, direct product factor
9C22×#809—31nomaximal
10C2×D3×#102—31nomaximal
11C23×D32—21no—
12C22×C4⋊(C3⋊D3)C2211yescharacteristic
13C22×C3×D12C2211yescharacteristic
14C22×C3×C4×D3—21no—
15C22×C3×C4×D3C2211yescharacteristic
16C22×#626—21no—
17C2×D3×D12—24no—
18C2×D3×D12—22no—
19C2×D3×D12C418yescomplemented
20C2×D3×D12C2214yes—
21C2×C32×C4⋊C4C2211yescharacteristic, complemented
22C22×C3⋊(C3⋊C8)C2211yescharacteristic, complemented
23C2×C3×C4⋊Dic3C2211yescharacteristic, complemented
24C2×C3×Dic3⋊C4—21no—
25C22×C3×C3⋊C8C2211yescharacteristic, complemented
26C3×D3×C4⋊C4—22no—
27C3×D3×C4⋊C4C2214yescomplemented
28C2×D3×C3⋊C8—24no—
29C2×D3×C3⋊C8C2214yescomplemented
30#63636C2214yescomplemented
31C3×#809C2214yescomplemented
32#63564C2214yescomplemented
33#63562C2214yescomplemented
34C22×D3×D4—31no—
35C23×D12—31no—
36C22×C3×C4⋊C4—31no—
37C23×C3⋊C8—31no—
38C22×D3×C8—31no—
39C2×D3×C4⋊C4D311yescharacteristic, complemented
40C2×C3×#102—31no—
41C2×#832—31no—
42C2×#821—31no—
43C2×#809—31no—
44C2×#809—31no—
45C2×#809—31no—
46C2×#809—31no—
47C2×#809—38no—
48C2×#809—61no—
49C2×#809D311yescharacteristic, direct product factor
50D3×#102—38no—
51C23×C3⋊D3—21no—
52C23×C3×D3—21no—
53C23×C3×D3D411yescharacteristic
54C22×D32—28no—
55C22×D32—24no—
56C22×D32—44no—
57C22×D32—44no—
58C22×C32×C4—21no—
59C22×C32×C4C2311yescharacteristic
60C2×C4⋊(C3⋊D3)—21no—
61C2×C4⋊(C3⋊D3)—22no—
62C2×C4⋊(C3⋊D3)C2×C414yescomplemented
63C2×C4⋊(C3⋊D3)C2312yes—
64C22×C3×Dic3—21no—
65C22×C3×Dic3D411yescharacteristic
66C2×C3×D12—21no—
67C2×C3×D12—22no—
68C2×C3×D12C2×C414yescomplemented
69C2×C3×D12C2312yes—
70C2×C3×C4×D3—24no—
71C2×C3×C4×D3—44no—
72C2×C3×C4×D3C2×C414yes—
73C2×C3×C4×D3D412yes—
74C2×C3×C4×D3D414yes—
75C2×C3×C4×D3C2312yes—
76C2×#626—28no—
77C2×#626—24no—
78D3×D12—216no—
79D3×D12—28no—
80D3×D12C2×C4116yescomplemented
81C32×C4⋊C4—21no—
82C32×C4⋊C4C2312yescomplemented
83C2×C3⋊(C3⋊C8)—22no—
84C2×C3⋊(C3⋊C8)C2312yescomplemented
85C3×C4⋊Dic3—21no—
86C3×C4⋊Dic3C2312yescomplemented
87C3×Dic3⋊C4—24no—
88C2×C3×C3⋊C8—22no—
89C2×C3×C3⋊C8C2312yescomplemented
90D3×C3⋊C8—28no—
91C22×#102—91noSylow
92C24×D3—61no—
93C24×D3—61no—
94C22×C3×D4—31no—
95C23×C3×C4—31no—
96C23×C3×C4—61no—
97C22×#67—61no—
98C2×D3×D4—38no—
99C2×D3×D4—34no—
100C2×D3×D4—64no—
101C2×D3×D4—62no—
102C22×D12—31no—
103C22×D12—31no—
104C22×D12—38no—
105C22×D12—34no—
106C22×D12—61no—
107C22×D12—64no—
108C22×D12—62no—
109C22×D12—61no—
110C22×D12C2×D311yescharacteristic
111C22×C4×D3—21no—
112C22×C4×D3C2×D311yescharacteristic
113C22×C3×C8—31no—
114C2×C3×C4⋊C4—21no—
115C2×C3×C4⋊C4—31no—
116C2×C3×C4⋊C4—34no—
117C2×C3×C4⋊C4—62no—
118C2×C3×C4⋊C4—61no—
119C2×C3×C4⋊C4C2×D311yescharacteristic, complemented
120C2×C3×C4⋊C4C2×D311yescharacteristic, complemented
121C2×C4⋊Dic3C2×D311yescharacteristic, complemented
122C2×Dic3⋊C4—21no—
123C22×C3⋊C8—31no—
124C22×C3⋊C8—31no—
125C22×C3⋊C8—34no—
126C22×C3⋊C8—61no—
127C22×C3⋊C8—64no—
128C22×C3⋊C8C2×D311yescharacteristic, complemented
129C2×D3×C8—34no—
130C2×D3×C8—64no—
131D3×C4⋊C4—22no—
132D3×C4⋊C4C2×D314yescomplemented
133C3×#102—34no—
134#832—34no—
135#821—34no—
136#809—34no—
137#809—34no—
138#809—34no—
139#809—34no—
140#809—64no—
141#809C2×D314yesdirect product factor
142C23×C32C2×D411yescharacteristic
143C22×C3⋊D3—24no—
144C22×C3⋊D3—22no—
145C22×C3⋊D3—42no—
146C22×C3⋊D3—42no—
147C22×C3×D3—24no—
148C22×C3×D3—22no—
149C22×C3×D3—42no—
150C22×C3×D3—42no—
151C22×C3×D3C22⋊C414yes—
152C22×C3×D3D814yes—
153C22×C3×D3SD1614yes—
154C22×C3×D3C2×D412yes—
155C2×D32—216no—
156C2×D32—432no—
157C2×D32—48no—
158C2×D32—48no—
159C2×C32×C4—22no—
160C2×C32×C4—42no—
161C2×C32×C4C22×C412yes—
162C2×C32×C4C2×D412yes—
163C2×C32×C4C2×D411yescharacteristic
164C2×C32×C4C2411yescharacteristic
165C4⋊(C3⋊D3)—24no—
166C4⋊(C3⋊D3)—22no—
167C4⋊(C3⋊D3)C22×C414yescomplemented
168C2×C3×Dic3—22no—
169C2×C3×Dic3—42no—
170C2×C3×Dic3C22⋊C414yes—
171C2×C3×Dic3C2×D412yes—
172C3×D12—24no—
173C3×D12—22no—
174C3×D12C22×C414yescomplemented
175C3×C4×D3—48no—
176C3×C4×D3C22⋊C418yes—
177C3×C4×D3C22×C414yes—
178C3×C4×D3C2×D414yes—
179#626—216no—
180C3⋊(C3⋊C8)—22no—
181C3×C3⋊C8—22no—
182C23×D4—91no—
183C23×C8—91no—
184C22×C4⋊C4—31no—
185C2×#102—31no—
186C2×#102—98no—
187C2×#102—91no—
188C2×#102—91no—
189C2×#102—91no—
190C24×C3—31no—
191C24×C3—61no—
192C23×D3—21no—
193C23×D3—68no—
194C23×D3—64no—
195C23×D3—61no—
196C23×D3—61no—
197C23×D3—68no—
198C23×D3—64no—
199C23×D3—121no—
200C23×D3—124no—
201C23×D3—124no—
202C23×D3—124no—
203C23×D3—124no—
204C23×D3#6711yescharacteristic
205C2×C3×D4—34no—
206C2×C3×D4—32no—
207C2×C3×D4—62no—
208C2×C3×D4—61no—
209C22×C3×C4—21no—
210C22×C3×C4—21no—
211C22×C3×C4—21no—
212C22×C3×C4—31no—
213C22×C3×C4—34no—
214C22×C3×C4—34no—
215C22×C3×C4—32no—
216C22×C3×C4—32no—
217C22×C3×C4—41no—
218C22×C3×C4—64no—
219C22×C3×C4—61no—
220C22×C3×C4—124no—
221C22×C3×C4C22×D311yescharacteristic
222C22×C3×C4C22×D311yescharacteristic
223C2×#67—68no—
224C2×#67—64no—
225C22×Dic3—21no—
226C22×Dic3#6711yescharacteristic
227D3×D4—316no—
228D3×D4—616no—
229D3×D4—68no—
230C2×D12—22no—
231C2×D12—21no—
232C2×D12—34no—
233C2×D12—34no—
234C2×D12—32no—
235C2×D12—32no—
236C2×D12—316no—
237C2×D12—62no—
238C2×D12—64no—
239C2×D12—616no—
240C2×D12—68no—
241C2×D12—68no—
242C2×D12—64no—
243C2×D12—62no—
244C2×D12—62no—
245C2×D12—61no—
246C2×D12—61no—
247C2×D12—122no—
248C2×D12—121no—
249C2×D12C4×D314yescomplemented
250C2×D12C22×D312yes—
251C2×C4×D3—24no—
252C2×C4×D3—44no—
253C2×C4×D3C4×D314yes—
254C2×C4×D3D1214yes—
255C2×C4×D3#6712yes—
256C2×C4×D3C22×D312yes—
257C2×C3×C8—32no—
258C2×C3×C8—62no—
259C3×C4⋊C4—21no—
260C3×C4⋊C4—21no—
261C3×C4⋊C4—22no—
262C3×C4⋊C4—32no—
263C3×C4⋊C4—41no—
264C3×C4⋊C4—64no—
265C3×C4⋊C4—61no—
266C3×C4⋊C4C22×D312yescomplemented
267C3×C4⋊C4C22×D312yescomplemented
268C4⋊Dic3—21no—
269C4⋊Dic3C22×D312yescomplemented
270Dic3⋊C4—24no—
271C2×C3⋊C8—22no—
272C2×C3⋊C8—32no—
273C2×C3⋊C8—32no—
274C2×C3⋊C8—62no—
275C2×C3⋊C8—68no—
276C2×C3⋊C8—62no—
277C2×C3⋊C8—62no—
278C2×C3⋊C8—122no—
279C2×C3⋊C8C22×D312yescomplemented
280D3×C8—68no—
281C22×C32C2×C22⋊C412yes—
282C22×C32C2×D812yes—
283C22×C32C2×SD1612yes—
284C22×C32C22×D411yescharacteristic
285C2×C3⋊D3—24no—
286C2×C3⋊D3—42no—
287C2×C3⋊D3—42no—
288C2×C3⋊D3—48no—
289C2×C3×D3—24no—
290C2×C3×D3—42no—
291C2×C3×D3—42no—
292C2×C3×D3—48no—
293C2×C3×D3#102116yescomplemented
294C2×C3×D3C2×C22⋊C414yes—
295C2×C3×D3C2×D814yes—
296C2×C3×D3C2×SD1614yes—
297D32—432no—
298C32×C4—42no—
299C32×C4C2×C22⋊C412yes—
300C32×C4C23×C411yescharacteristic
301C32×C4C22×D411yescharacteristic
302C3×Dic3—42no—
303C3×Dic3C2×C22⋊C414yes—
304C25—181no—
305C22×D4—31no—
306C22×D4—94no—
307C22×D4—98no—
308C22×D4—91no—
309C22×D4—184no—
310C22×D4—182no—
311C22×D4—181no—
312C23×C4—31no—
313C23×C4—61no—
314C22×C8—31no—
315C22×C8—94no—
316C22×C8—91no—
317C22×C8—184no—
318C2×C4⋊C4—31no—
319C2×C4⋊C4—34no—
320C2×C4⋊C4—62no—
321C2×C4⋊C4—61no—
322C2×C4⋊C4D3211yescharacteristic, complemented
323#102—34no—
324#102—94no—
325#102—94no—
326#102—94no—
327C23×C3—21no—
328C23×C3—34no—
329C23×C3—34no—
330C23×C3—34no—
331C23×C3—32no—
332C23×C3—64no—
333C23×C3—62no—
334C23×C3—122no—
335C23×C3—122no—
336C23×C3D3×D411yescharacteristic
337C23×C3C2×#6711yescharacteristic
338C22×D3—24no—
339C22×D3—22no—
340C22×D3—42no—
341C22×D3—42no—
342C22×D3—616no—
343C22×D3—64no—
344C22×D3—64no—
345C22×D3—62no—
346C22×D3—62no—
347C22×D3—616no—
348C22×D3—122no—
349C22×D3—124no—
350C22×D3—128no—
351C22×D3—128no—
352C22×D3—1232no—
353C22×D3—122no—
354C22×D3—122no—
355C22×D3—122no—
356C22×D3—122no—
357C22×D3—1232no—
358C22×D3—128no—
359C22×D3—128no—
360C22×D3—242no—
361C22×D3—242no—
362C22×D3(C2×D3)⋊C414yes—
363C22×D3#21314yes—
364C22×D3#21514yes—
365C22×D3C2×#6712yes—
366C3×D4—34no—
367C3×D4—64no—
368C3×D4—62no—
369C2×C3×C4—22no—
370C2×C3×C4—22no—
371C2×C3×C4—21no—
372C2×C3×C4—22no—
373C2×C3×C4—22no—
374C2×C3×C4—21no—
375C2×C3×C4—34no—
376C2×C3×C4—32no—
377C2×C3×C4—38no—
378C2×C3×C4—34no—
379C2×C3×C4—34no—
380C2×C3×C4—42no—
381C2×C3×C4—42no—
382C2×C3×C4—42no—
383C2×C3×C4—62no—
384C2×C3×C4—82no—
385C2×C3×C4—128no—
386C2×C3×C4—122no—
387C2×C3×C4C2×C4×D312yes—
388C2×C3×C4C2×C4×D312yes—
389C2×C3×C4C2×D1212yes—
390C2×C3×C4D3×D412yes—
391C2×C3×C4D3×D411yescharacteristic
392C2×C3×C4C2×#6711yescharacteristic
393C2×C3×C4C23×D311yescharacteristic
394C2×C3×C4C23×D311yescharacteristic
395#67—616no—
396C2×Dic3—22no—
397C2×Dic3—42no—
398C2×Dic3(C2×D3)⋊C414yes—
399C2×Dic3C2×#6712yes—
400D12—24no—
401D12—22no—
402D12—34no—
403D12—34no—
404D12—64no—
405D12—616no—
406D12—64no—
407D12—64no—
408D12—62no—
409D12—62no—
410D12—122no—
411D12—124no—
412D12C2×C4×D314yescomplemented
413C4×D3—48no—
414C4×D3(C2×D3)⋊C418yes—
415C4×D3C2×C4×D314yes—
416C4×D3C2×D1214yes—
417C3×C8—62no—
418C3⋊C8—22no—
419C3⋊C8—62no—
420C3⋊C8—62no—
421C3⋊C8—122no—
422C2×C32C2×#10214yescomplemented
423C2×C32C22×C22⋊C411yescharacteristic
424C2×C32C22×D811yescharacteristic
425C2×C32C22×SD1611yescharacteristic
426C3⋊D3—44no—
427C3×D3—44no—
428C3×D3C2×#10218yescomplemented
429C24—31no—
430C24—61no—
431C24—184no—
432C24—188no—
433C24—181no—
434C24—364no—
435C24—364no—
436C2×D4—32no—
437C2×D4—34no—
438C2×D4—62no—
439C2×D4—61no—
440C2×D4—916no—
441C2×D4—92no—
442C2×D4—94no—
443C2×D4—188no—
444C2×D4—1816no—
445C2×D4—184no—
446C2×D4—188no—
447C2×D4—182no—
448C2×D4—181no—
449C22×C4—21no—
450C22×C4—31no—
451C22×C4—32no—
452C22×C4—34no—
453C22×C4—34no—
454C22×C4—32no—
455C22×C4—64no—
456C22×C4—61no—
457C22×C4—124no—
458C22×C4C2×D3211yescharacteristic
459C2×C8—32no—
460C2×C8—62no—
461C2×C8—92no—
462C2×C8—188no—
463C2×C8—182no—
464C4⋊C4—21no—
465C4⋊C4—32no—
466C4⋊C4—64no—
467C4⋊C4—61no—
468C4⋊C4C2×D3212yescomplemented
469C22×C3—21no—
470C22×C3—22no—
471C22×C3—22no—
472C22×C3—22no—
473C22×C3—34no—
474C22×C3—34no—
475C22×C3—34no—
476C22×C3—316no—
477C22×C3—64no—
478C22×C3—128no—
479C22×C3—122no—
480C22×C3—122no—
481C22×C3D3×C22⋊C412yes—
482C22×C3D3×D812yes—
483C22×C3D3×SD1612yes—
484C22×C3C2×(C2×D3)⋊C412yes—
485C22×C3C2×#21312yes—
486C22×C3C2×#21512yes—
487C22×C3C2×D3×D411yescharacteristic
488C22×C3C22×#6711yescharacteristic
489C2×D3—24no—
490C2×D3—42no—
491C2×D3—42no—
492C2×D3—48no—
493C2×D3—64no—
494C2×D3—64no—
495C2×D3—124no—
496C2×D3—1232no—
497C2×D3—128no—
498C2×D3—122no—
499C2×D3—122no—
500C2×D3—122no—
501C2×D3—128no—
502C2×D3—122no—
503C2×D3—1232no—
504C2×D3—242no—
505C2×D3—248no—
506C2×D3—242no—
507C2×D3#809116yesdirect product factor
508C2×D3C2×(C2×D3)⋊C414yes—
509C2×D3C2×#21314yes—
510C2×D3C2×#21514yes—
511C3×C4—21no—
512C3×C4—21no—
513C3×C4—22no—
514C3×C4—34no—
515C3×C4—42no—
516C3×C4—42no—
517C3×C4—82no—
518C3×C4—122no—
519C3×C4D3×C22⋊C412yes—
520C3×C4C2×(C2×D3)⋊C412yes—
521C3×C4C22×C4×D311yescharacteristic
522C3×C4C22×C4×D311yescharacteristic
523C3×C4C22×D1211yescharacteristic
524C3×C4C2×D3×D411yescharacteristic
525Dic3—42no—
526Dic3C2×(C2×D3)⋊C414yes—
527C32C22×#10211yescharacteristic, complemented, Sylow
528C23—32no—
529C23—34no—
530C23—34no—
531C23—34no—
532C23—62no—
533C23—64no—
534C23—122no—
535C23—122no—
536C23—1816no—
537C23—182no—
538C23—184no—
539C23—368no—
540C23—3632no—
541C23—368no—
542C23—362no—
543C23—362no—
544C23D3×#6711yescharacteristic
545D4—34no—
546D4—62no—
547D4—64no—
548D4—94no—
549D4—1816no—
550D4—182no—
551D4—184no—
552C2×C4—22no—
553C2×C4—32no—
554C2×C4—34no—
555C2×C4—34no—
556C2×C4—34no—
557C2×C4—38no—
558C2×C4—42no—
559C2×C4—62no—
560C2×C4—128no—
561C2×C4—122no—
562C2×C4C4×D3212yes—
563C2×C4D3×D1212yes—
564C2×C4D3×#6711yescharacteristic
565C2×C4C22×D3211yescharacteristic
566C8—62no—
567C8—182no—
568C2×C3—21no—
569C2×C3—24no—
570C2×C3—21no—
571C2×C3—21no—
572C2×C3—38no—
573C2×C3—124no—
574C2×C3D3×#10214yescomplemented
575C2×C3C2×#80914yescomplemented
576C2×C3C2×D3×C22⋊C411yescharacteristic
577C2×C3C2×D3×D811yescharacteristic
578C2×C3C2×D3×SD1611yescharacteristic
579C2×C3C22×(C2×D3)⋊C411yescharacteristic
580C2×C3C22×#21311yescharacteristic
581C2×C3C22×#21511yescharacteristic
582D3—44no—
583D3—124no—
584D3—124no—
585D3—244no—
586D3C2×#80918yesdirect product factor
587C22—34no—
588C22—316no—
589C22—34no—
590C22—34no—
591C22—64no—
592C22—122no—
593C22—128no—
594C22—122no—
595C22—184no—
596C22—3632no—
597C22—362no—
598C22—368no—
599C22—362no—
600C22D3×(C2×D3)⋊C412yes—
601C22D3×#21312yes—
602C22D3×#21512yes—
603C22C2×D3×#6711yescharacteristic
604C4—34no—
605C4—42no—
606C4—122no—
607C4D3×(C2×D3)⋊C412yes—
608C4C2×C4×D3211yescharacteristic
609C4C2×D3×D1211yescharacteristic
610C3—21no—
611C3C2×D3×#10211yescharacteristic, complemented
612C3C22×#80911yescharacteristic, complemented
613C2—38no—
614C2—124no—
615C2—364no—
616C2D3×#80914yesdirect product factor
617C2C2×D3×(C2×D3)⋊C411yescharacteristic
618C2C2×D3×#21311yescharacteristic
619C2C2×D3×#21511yescharacteristic
subgroupG/H
centerC23D3×#67
commutatorC32×C4C23×C4
FrattiniC2×C4C22×D32
FittingC2×C32×C4⋊C4C22
socleC23×C32C2×D4
prime radicalC22×D3×D12C2
cosocleC2×C32×C4C24
hypercenterC2×C4⋊C4D32
hypocenterC32C22×#102
LCSG ▷ C32×C4 ▷ C2×C32 ▷ C32
UCSC1 ◁ C23 ◁ C22×C4 ◁ C2×C4⋊C4

Complements

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

NH ≅ G/Ntype
2. C2×C3×D3×C4⋊C4C2semidirect
3. C22×D3×C3⋊C8C2semidirect
4. C2×#63636C2semidirect
5. C2×C3×#809C2semidirect
6. C2×#63564C2semidirect
7. C2×#63562C2semidirect
8. D3×#809C2direct (N × H)
19. C2×D3×D12C4semidirect
21. C2×C32×C4⋊C4C22semidirect
22. C22×C3⋊(C3⋊C8)C22semidirect
23. C2×C3×C4⋊Dic3C22semidirect
25. C22×C3×C3⋊C8C22semidirect
27. C3×D3×C4⋊C4C22semidirect
29. C2×D3×C3⋊C8C22semidirect
30. #63636C22semidirect
31. C3×#809C22semidirect
32. #63564C22semidirect
33. #63562C22semidirect
39. C2×D3×C4⋊C4D3semidirect
49. C2×#809D3direct (N × H)
62. C2×C4⋊(C3⋊D3)C2×C4semidirect
68. C2×C3×D12C2×C4semidirect
80. D3×D12C2×C4semidirect
82. C32×C4⋊C4C23semidirect
84. C2×C3⋊(C3⋊C8)C23semidirect
86. C3×C4⋊Dic3C23semidirect
89. C2×C3×C3⋊C8C23semidirect
119. C2×C3×C4⋊C4C2×D3semidirect
120. C2×C3×C4⋊C4C2×D3semidirect
121. C2×C4⋊Dic3C2×D3semidirect
128. C22×C3⋊C8C2×D3semidirect
132. D3×C4⋊C4C2×D3semidirect
141. #809C2×D3direct (N × H)
167. C4⋊(C3⋊D3)C22×C4semidirect
174. C3×D12C22×C4semidirect
249. C2×D12C4×D3semidirect
266. C3×C4⋊C4C22×D3semidirect
267. C3×C4⋊C4C22×D3semidirect
269. C4⋊Dic3C22×D3semidirect
279. C2×C3⋊C8C22×D3semidirect
293. C2×C3×D3#102semidirect
322. C2×C4⋊C4D32semidirect
412. D12C2×C4×D3semidirect
422. C2×C32C2×#102semidirect
428. C3×D3C2×#102semidirect
468. C4⋊C4C2×D32semidirect
507. C2×D3#809direct (N × H)
527. C32C22×#102semidirect
574. C2×C3D3×#102semidirect
575. C2×C3C2×#809semidirect
586. D3C2×#809direct (N × H)
611. C3C2×D3×#102semidirect
612. C3C22×#809semidirect
616. C2D3×#809direct (N × H)

Maximal subgroups

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

subgroupindex
C22×D3×D122
C2×C3×D3×C4⋊C42
C22×D3×C3⋊C82
C2×#636362
C2×C3×#8092
C2×#635642
C2×#635622
D3×#8092
C22×#8093
C2×D3×#1023