Finite Group Databasebeta

← C2×C3×#5199 #11867912

Subgroups — C2×C3×#5199 #11867912

Order 1152.

1125 conjugacy classes of subgroups.

The subgroup lattice has 653 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C32×AGL(1,ℤ/8)C211yesmaximal, characteristic, complemented
2C2×C3×#949C211yesmaximal, characteristic, complemented
3C2×C3×#948C211yesmaximal, characteristic, complemented
4C22×C3×#213C211yesmaximal, characteristic, complemented
5C2×C3×#833C211yesmaximal, characteristic, complemented
6C3×#5199C218yesmaximal, direct product factor
7C2×C3×#823C211yesmaximal, characteristic, complemented
8C2×C3×#822C211yesmaximal, characteristic, complemented
9C2×C3×#472—31nomaximal
10C2×#5199C311yesmaximal, characteristic, direct product factor
11C2×C32×#41C2211yescharacteristic
12C22×C32×D4C2211yescharacteristic
13C22×C3×D12C2211yescharacteristic
14C32×AGL(1,ℤ/8)—22no—
15C32×AGL(1,ℤ/8)C2214yescomplemented
16C2×C32×SD16—21no—
17C2×C32×D8—21no—
18C2×C32×M16C2211yescharacteristic
19C3×#949—22no—
20C3×#949C2214yescomplemented
21C3×#948—22no—
22C3×#948C2214yescomplemented
23C2×C3×#215—21no—
24C2×C3×#213—21no—
25C2×C3×#213—21no—
26C2×C3×#213—21no—
27C2×C3×#213—22no—
28C2×C3×#213C2214yescomplemented
29C2×C3×#208—21no—
30C2×C3×#208C2211yescharacteristic
31C2×C3×#208C2211yescharacteristic
32C22×C3×C3⋊C8—21no—
33C22×C3×C3⋊C8C2211yescharacteristic
34C3×#833C2214yescomplemented
35C3×#823C2214yescomplemented
36C3×#822C2214yescomplemented
37C2×C3×AGL(1,ℤ/8)—21no—
38C2×C3×AGL(1,ℤ/8)—31no—
39C2×C3×AGL(1,ℤ/8)D311yescharacteristic, complemented
40C2×C3×AGL(1,ℤ/8)C2×C311yescharacteristic, complemented
41C22×C3×D8—31no—
42C2×C3×#131—31no—
43C2×#949C2×C311yescharacteristic, complemented
44C2×#948C2×C311yescharacteristic, complemented
45C22×#213C2×C311yescharacteristic, complemented
46C3×#472—38no—
47C2×C3×#108—31no—
48C2×C3×#100—31no—
49C2×C3×#100—31no—
50C2×#833C2×C311yescharacteristic, complemented
51#5199C2×C318yesdirect product factor
52C2×#823C2×C311yescharacteristic, complemented
53C2×#822C2×C311yescharacteristic, complemented
54C24×C32—21no—
55C23×C3×D3—21no—
56C32×#41—21no—
57C32×#41—21no—
58C32×#41D412yes—
59C32×#41C2312yes—
60C2×C32×Q8D411yescharacteristic
61C2×C32×D4—21no—
62C2×C32×D4—21no—
63C2×C32×D4—21no—
64C2×C32×D4—21no—
65C2×C32×D4—21no—
66C2×C32×D4—21no—
67C2×C32×D4D411yescharacteristic
68C2×C32×D4C2312yes—
69C22×C32×C4—21no—
70C22×C32×C4C2311yescharacteristic
71C2×C3×D12—21no—
72C2×C3×D12—21no—
73C2×C3×D12—21no—
74C2×C3×D12—21no—
75C2×C3×D12—21no—
76C2×C3×D12C2312yes—
77C32×SD16—24no—
78C32×D8—24no—
79C32×M16—21no—
80C32×M16C2312yes—
81C2×C32×C8—21no—
82C3×#215—24no—
83C3×#213—24no—
84C3×#213—24no—
85C3×#213—24no—
86C3×#208—21no—
87C3×#208—21no—
88C3×#208—24no—
89C3×#208C2312yes—
90C3×#208C2312yes—
91C2×C3×C3⋊C8—21no—
92C2×C3×C3⋊C8—21no—
93C2×C3×C3⋊C8—24no—
94C2×C3×C3⋊C8D411yescharacteristic
95C2×C3×C3⋊C8D411yescharacteristic
96C2×C3×C3⋊C8D412yes—
97C2×C3×C3⋊C8C2312yes—
98C2×#472—31noSylow
99C2×C3×#41—21no—
100C2×C3×#41C2×D311yescharacteristic
101C2×C3×#41C22×C311yescharacteristic
102C22×C3×D4—21no—
103C22×C3×D4—31no—
104C22×C3×D4C2×D311yescharacteristic
105C22×C3×D4C22×C311yescharacteristic
106C22×D12C22×C311yescharacteristic
107C3×AGL(1,ℤ/8)—24no—
108C3×AGL(1,ℤ/8)—22no—
109C3×AGL(1,ℤ/8)—22no—
110C3×AGL(1,ℤ/8)—24no—
111C3×AGL(1,ℤ/8)—34no—
112C3×AGL(1,ℤ/8)—62no—
113C3×AGL(1,ℤ/8)C2×D314yescomplemented
114C3×AGL(1,ℤ/8)C22×C314yescomplemented
115C2×C3×SD16—22no—
116C2×C3×SD16—21no—
117C2×C3×SD16—21no—
118C2×C3×SD16—61no—
119C2×C3×D8—22no—
120C2×C3×D8—21no—
121C2×C3×D8—21no—
122C2×C3×D8—34no—
123C2×C3×D8—61no—
124C2×C3×D8—61no—
125C2×C3×D8—62no—
126C2×C3×D8—61no—
127C3×#131—34no—
128C3×#131—62no—
129C2×C3×M16—21no—
130C2×C3×M16—31no—
131C2×C3×M16—31no—
132C2×C3×M16—61no—
133C2×C3×M16C2×D311yescharacteristic
134C2×C3×M16C22×C311yescharacteristic
135C22×C3×C8—31no—
136C22×C3×C8—61no—
137#949—22no—
138#949C22×C314yescomplemented
139#948—22no—
140#948C22×C314yescomplemented
141C2×#215—21no—
142C2×#213—21no—
143C2×#213—21no—
144C2×#213—21no—
145C2×#213—22no—
146C2×#213C22×C314yescomplemented
147C2×#208—21no—
148C2×#208C22×C311yescharacteristic
149C2×#208C22×C311yescharacteristic
150C22×C3⋊C8—21no—
151C22×C3⋊C8C22×C311yescharacteristic
152C3×#108—34no—
153C3×#100—34no—
154C3×#100—34no—
155#833C22×C314yescomplemented
156#823C22×C314yescomplemented
157#822C22×C314yescomplemented
158C23×C32—21no—
159C23×C32—22no—
160C23×C32—41no—
161C23×C32—41no—
162C23×C32—82no—
163C23×C32#4111yescharacteristic
164C22×C3×D3—22no—
165C22×C3×D3—41no—
166C22×C3×D3—41no—
167C22×C3×D3—82no—
168C32×Q8—21no—
169C32×Q8C2×D412yes—
170C32×D4—22no—
171C32×D4—22no—
172C32×D4—22no—
173C32×D4—21no—
174C32×D4—22no—
175C32×D4—41no—
176C32×D4—41no—
177C32×D4C2×D412yes—
178C2×C32×C4—21no—
179C2×C32×C4—22no—
180C2×C32×C4—22no—
181C2×C32×C4C2×D411yescharacteristic
182C2×C32×C4C2×D411yescharacteristic
183C2×C32×C4C2×D411yescharacteristic
184C2×C32×C4C2×D411yescharacteristic
185C2×C32×C4#4111yescharacteristic
186C2×C32×C4C2411yescharacteristic
187C3×D12—22no—
188C3×D12—22no—
189C3×D12—41no—
190C3×D12—41no—
191C32×C8—22no—
192C3×C3⋊C8—22no—
193C3×C3⋊C8—22no—
194C3×C3⋊C8C2×D412yes—
195C3×C3⋊C8C2×D412yes—
196C2×AGL(1,ℤ/8)—31no—
197C2×AGL(1,ℤ/8)C3×D311yescharacteristic, complemented
198C22×D8—31no—
199C2×#131—31no—
200#472—38no—
201C2×#108—31no—
202C2×#100—31no—
203C2×#100—31no—
204C24×C3—21no—
205C24×C3—21no—
206C24×C3—41no—
207C24×C3—61no—
208C23×D3—21no—
209C3×#41—21no—
210C3×#41—21no—
211C3×#41—21no—
212C3×#41—21no—
213C3×#41—22no—
214C3×#41—22no—
215C3×#41—41no—
216C3×#41—41no—
217C3×#41#6712yes—
218C3×#41C3×D412yes—
219C3×#41C22×D312yes—
220C3×#41C23×C312yes—
221C2×C3×Q8—21no—
222C2×C3×Q8#6711yescharacteristic
223C2×C3×Q8C3×D411yescharacteristic
224C2×C3×D4—21no—
225C2×C3×D4—21no—
226C2×C3×D4—22no—
227C2×C3×D4—22no—
228C2×C3×D4—21no—
229C2×C3×D4—21no—
230C2×C3×D4—21no—
231C2×C3×D4—21no—
232C2×C3×D4—21no—
233C2×C3×D4—21no—
234C2×C3×D4—21no—
235C2×C3×D4—21no—
236C2×C3×D4—21no—
237C2×C3×D4—21no—
238C2×C3×D4—21no—
239C2×C3×D4—22no—
240C2×C3×D4—32no—
241C2×C3×D4—41no—
242C2×C3×D4—41no—
243C2×C3×D4—41no—
244C2×C3×D4—41no—
245C2×C3×D4—61no—
246C2×C3×D4—61no—
247C2×C3×D4—61no—
248C2×C3×D4—61no—
249C2×C3×D4—61no—
250C2×C3×D4#6711yescharacteristic
251C2×C3×D4C3×D411yescharacteristic
252C2×C3×D4C22×D312yes—
253C2×C3×D4C23×C312yes—
254C22×C3×C4—21no—
255C22×C3×C4—21no—
256C22×C3×C4—21no—
257C22×C3×C4—41no—
258C22×C3×C4C22×D311yescharacteristic
259C22×C3×C4C23×C311yescharacteristic
260C2×D12—21no—
261C2×D12—21no—
262C2×D12—21no—
263C2×D12—21no—
264C2×D12—21no—
265C2×D12C23×C312yes—
266C3×SD16—28no—
267C3×SD16—24no—
268C3×SD16—24no—
269C3×SD16—64no—
270C3×D8—28no—
271C3×D8—24no—
272C3×D8—24no—
273C3×D8—64no—
274C3×D8—64no—
275C3×D8—64no—
276C3×M16—22no—
277C3×M16—21no—
278C3×M16—21no—
279C3×M16—22no—
280C3×M16—32no—
281C3×M16—32no—
282C3×M16—64no—
283C3×M16—61no—
284C3×M16—61no—
285C3×M16C22×D312yes—
286C3×M16C23×C312yes—
287C2×C3×C8—22no—
288C2×C3×C8—21no—
289C2×C3×C8—21no—
290C2×C3×C8—31no—
291C2×C3×C8—31no—
292C2×C3×C8—32no—
293C2×C3×C8—32no—
294C2×C3×C8—64no—
295C2×C3×C8—61no—
296C2×C3×C8—61no—
297#215—24no—
298#213—24no—
299#213—24no—
300#213—24no—
301#208—21no—
302#208—21no—
303#208—24no—
304#208C23×C312yes—
305#208C23×C312yes—
306C2×C3⋊C8—21no—
307C2×C3⋊C8—21no—
308C2×C3⋊C8—24no—
309C2×C3⋊C8C3×D411yescharacteristic
310C2×C3⋊C8C3×D411yescharacteristic
311C2×C3⋊C8C3×D412yes—
312C2×C3⋊C8C23×C312yes—
313C22×C32—22no—
314C22×C32—22no—
315C22×C32—42no—
316C22×C32—42no—
317C22×C32—82no—
318C22×C32—82no—
319C22×C32—82no—
320C22×C32#12111yescharacteristic
321C22×C32#12111yescharacteristic
322C22×C32C2×#4111yescharacteristic
323C2×C3×D3—42no—
324C2×C3×D3—82no—
325C2×C3×D3—82no—
326C2×C3×D3—82no—
327C32×C4—22no—
328C32×C4#12111yescharacteristic
329C32×C4#12111yescharacteristic
330C32×C4C22×D411yescharacteristic
331C32×C4C22×D411yescharacteristic
332C2×#41C2×C3×D311yescharacteristic
333C22×D4—31no—
334C22×D4C2×C3×D311yescharacteristic
335AGL(1,ℤ/8)—22no—
336AGL(1,ℤ/8)—34no—
337AGL(1,ℤ/8)—62no—
338AGL(1,ℤ/8)C2×C3×D314yescomplemented
339C2×SD16—21no—
340C2×SD16—61no—
341C2×D8—21no—
342C2×D8—34no—
343C2×D8—61no—
344C2×D8—61no—
345C2×D8—62no—
346C2×D8—61no—
347#131—34no—
348#131—62no—
349C2×M16—31no—
350C2×M16—31no—
351C2×M16—61no—
352C2×M16C2×C3×D311yescharacteristic
353C22×C8—31no—
354C22×C8—61no—
355#108—34no—
356#100—34no—
357#100—34no—
358C23×C3—21no—
359C23×C3—21no—
360C23×C3—22no—
361C23×C3—22no—
362C23×C3—21no—
363C23×C3—41no—
364C23×C3—42no—
365C23×C3—42no—
366C23×C3—42no—
367C23×C3—41no—
368C23×C3—41no—
369C23×C3—41no—
370C23×C3—41no—
371C23×C3—62no—
372C23×C3—82no—
373C23×C3—82no—
374C23×C3—84no—
375C23×C3—121no—
376C23×C3—121no—
377C23×C3—242no—
378C23×C3#23711yescharacteristic
379C23×C3C3×#4111yescharacteristic
380C22×D3—22no—
381C22×D3—41no—
382C22×D3—41no—
383C22×D3—82no—
384C3×Q8—21no—
385C3×Q8—21no—
386C3×Q8—22no—
387C3×Q8—41no—
388C3×Q8C2×#6712yes—
389C3×Q8C2×C3×D412yes—
390C3×D4—22no—
391C3×D4—22no—
392C3×D4—22no—
393C3×D4—22no—
394C3×D4—24no—
395C3×D4—21no—
396C3×D4—21no—
397C3×D4—22no—
398C3×D4—22no—
399C3×D4—22no—
400C3×D4—22no—
401C3×D4—22no—
402C3×D4—42no—
403C3×D4—41no—
404C3×D4—42no—
405C3×D4—42no—
406C3×D4—42no—
407C3×D4—42no—
408C3×D4—41no—
409C3×D4—41no—
410C3×D4—41no—
411C3×D4—41no—
412C3×D4—62no—
413C3×D4—62no—
414C3×D4—121no—
415C3×D4—121no—
416C3×D4C2×#6712yes—
417C3×D4C2×C3×D412yes—
418C2×C3×C4—21no—
419C2×C3×C4—21no—
420C2×C3×C4—22no—
421C2×C3×C4—22no—
422C2×C3×C4—22no—
423C2×C3×C4—22no—
424C2×C3×C4—21no—
425C2×C3×C4—21no—
426C2×C3×C4—21no—
427C2×C3×C4—21no—
428C2×C3×C4—21no—
429C2×C3×C4—21no—
430C2×C3×C4—42no—
431C2×C3×C4—42no—
432C2×C3×C4—41no—
433C2×C3×C4D3×D411yescharacteristic
434C2×C3×C4D3×D411yescharacteristic
435C2×C3×C4#23711yescharacteristic
436C2×C3×C4C2×#6711yescharacteristic
437C2×C3×C4C2×#6711yescharacteristic
438C2×C3×C4C2×C3×D411yescharacteristic
439C2×C3×C4C2×C3×D411yescharacteristic
440C2×C3×C4C2×C3×D411yescharacteristic
441C2×C3×C4C2×C3×D411yescharacteristic
442C2×C3×C4C3×#4111yescharacteristic
443C2×C3×C4C23×D311yescharacteristic
444C2×C3×C4C24×C311yescharacteristic
445D12—22no—
446D12—22no—
447D12—41no—
448D12—41no—
449C3×C8—24no—
450C3×C8—22no—
451C3×C8—22no—
452C3×C8—32no—
453C3×C8—32no—
454C3×C8—62no—
455C3×C8—62no—
456C3⋊C8—22no—
457C3⋊C8—22no—
458C3⋊C8C2×C3×D412yes—
459C3⋊C8C2×C3×D412yes—
460C2×C32—21no—
461C2×C32—21no—
462C2×C32—42no—
463C2×C32—82no—
464C2×C32#47212yescomplemented
465C2×C32C2×#12111yescharacteristic
466C3×D3—82no—
467C24—21no—
468C24—61no—
469#41—21no—
470#41—21no—
471#41C3×#6712yes—
472#41C22×C3×D312yes—
473C2×Q8C3×#6711yescharacteristic
474C2×D4—21no—
475C2×D4—21no—
476C2×D4—21no—
477C2×D4—21no—
478C2×D4—21no—
479C2×D4—21no—
480C2×D4—32no—
481C2×D4—61no—
482C2×D4—61no—
483C2×D4—61no—
484C2×D4—61no—
485C2×D4—61no—
486C2×D4C3×#6711yescharacteristic
487C2×D4C22×C3×D312yes—
488C22×C4—21no—
489C22×C4C22×C3×D311yescharacteristic
490SD16—24no—
491SD16—64no—
492D8—24no—
493D8—64no—
494D8—64no—
495D8—64no—
496M16—21no—
497M16—32no—
498M16—32no—
499M16—64no—
500M16—61no—
501M16—61no—
502M16C22×C3×D312yes—
503C2×C8—21no—
504C2×C8—32no—
505C2×C8—31no—
506C2×C8—31no—
507C2×C8—32no—
508C2×C8—64no—
509C2×C8—61no—
510C2×C8—61no—
511C22×C3—22no—
512C22×C3—22no—
513C22×C3—22no—
514C22×C3—22no—
515C22×C3—21no—
516C22×C3—21no—
517C22×C3—21no—
518C22×C3—42no—
519C22×C3—42no—
520C22×C3—44no—
521C22×C3—42no—
522C22×C3—42no—
523C22×C3—42no—
524C22×C3—42no—
525C22×C3—82no—
526C22×C3—82no—
527C22×C3—82no—
528C22×C3—82no—
529C22×C3—82no—
530C22×C3—84no—
531C22×C3—84no—
532C22×C3—84no—
533C22×C3—82no—
534C22×C3—82no—
535C22×C3—122no—
536C22×C3—242no—
537C22×C3—242no—
538C22×C3—242no—
539C22×C3#93911yescharacteristic
540C22×C3#93911yescharacteristic
541C22×C3C3×#12111yescharacteristic
542C22×C3C3×#12111yescharacteristic
543C22×C3C2×#23711yescharacteristic
544C22×C3C2×C3×#4111yescharacteristic
545C2×D3—42no—
546C2×D3—82no—
547C2×D3—82no—
548C2×D3—82no—
549C3×C4—22no—
550C3×C4—22no—
551C3×C4—21no—
552C3×C4—21no—
553C3×C4—21no—
554C3×C4—21no—
555C3×C4—42no—
556C3×C4#93911yescharacteristic
557C3×C4#93911yescharacteristic
558C3×C4C3×#12111yescharacteristic
559C3×C4C3×#12111yescharacteristic
560C3×C4C2×D3×D411yescharacteristic
561C3×C4C22×#6711yescharacteristic
562C3×C4C22×C3×D411yescharacteristic
563C3×C4C22×C3×D411yescharacteristic
564C32C2×#47211yescharacteristic, complemented, Sylow
565C23—21no—
566C23—22no—
567C23—41no—
568C23—41no—
569C23—62no—
570C23—82no—
571C23—121no—
572C23—121no—
573C23—242no—
574C23C3×#23711yescharacteristic
575Q8—21no—
576Q8C2×C3×#6712yes—
577D4—22no—
578D4—22no—
579D4—21no—
580D4—22no—
581D4—22no—
582D4—41no—
583D4—41no—
584D4—62no—
585D4—62no—
586D4—121no—
587D4—121no—
588D4C2×C3×#6712yes—
589C2×C4—21no—
590C2×C4—22no—
591C2×C4—22no—
592C2×C4C3×D3×D411yescharacteristic
593C2×C4C3×D3×D411yescharacteristic
594C2×C4C3×#23711yescharacteristic
595C2×C4C2×C3×#6711yescharacteristic
596C2×C4C2×C3×#6711yescharacteristic
597C2×C4C23×C3×D311yescharacteristic
598C8—22no—
599C8—32no—
600C8—32no—
601C8—62no—
602C8—62no—
603C2×C3—21no—
604C2×C3—21no—
605C2×C3—21no—
606C2×C3—21no—
607C2×C3—22no—
608C2×C3—21no—
609C2×C3—41no—
610C2×C3—41no—
611C2×C3—42no—
612C2×C3—42no—
613C2×C3—82no—
614C2×C3—84no—
615C2×C3—82no—
616C2×C3—82no—
617C2×C3—242no—
618C2×C3#519912yesdirect product factor
619C2×C3C3×#47212yescomplemented
620C2×C3C2×#93911yescharacteristic
621C2×C3C2×C3×#12111yescharacteristic
622D3—82no—
623C22—22no—
624C22—22no—
625C22—42no—
626C22—42no—
627C22—82no—
628C22—82no—
629C22—82no—
630C22—122no—
631C22—242no—
632C22—242no—
633C22—242no—
634C22C3×#93911yescharacteristic
635C22C3×#93911yescharacteristic
636C22C2×C3×#23711yescharacteristic
637C4—22no—
638C4C3×#93911yescharacteristic
639C4C3×#93911yescharacteristic
640C4C2×C3×D3×D411yescharacteristic
641C4C22×C3×#6711yescharacteristic
642C3—21no—
643C3C2×#519911yescharacteristic, direct product factor
644C3C2×C3×#47211yescharacteristic, complemented
645C2—21no—
646C2—21no—
647C2—42no—
648C2—82no—
649C2—242no—
650C2C3×#519912yesdirect product factor
651C2C2×C3×#93911yescharacteristic
subgroupG/H
centerC22×C3#939
commutator, cosocleC2×C3×C4C24×C3
FrattiniC2×C4C23×C3×D3
FittingC2×C32×AGL(1,ℤ/8)C2
socleC22×C32#121
hypercenterC2×C3×AGL(1,ℤ/8)D3
hypocenterC3C2×C3×#472
LCSG ▷ C2×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C22×C3 ◁ C22×C3×C4 ◁ C2×C3×AGL(1,ℤ/8)

Complements

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

NH ≅ G/Ntype
1. C2×C32×AGL(1,ℤ/8)C2semidirect
2. C2×C3×#949C2semidirect
3. C2×C3×#948C2semidirect
4. C22×C3×#213C2semidirect
5. C2×C3×#833C2semidirect
6. C3×#5199C2direct (N × H)
7. C2×C3×#823C2semidirect
8. C2×C3×#822C2semidirect
10. C2×#5199C3direct (N × H)
15. C32×AGL(1,ℤ/8)C22semidirect
20. C3×#949C22semidirect
22. C3×#948C22semidirect
28. C2×C3×#213C22semidirect
34. C3×#833C22semidirect
35. C3×#823C22semidirect
36. C3×#822C22semidirect
39. C2×C3×AGL(1,ℤ/8)D3semidirect
40. C2×C3×AGL(1,ℤ/8)C2×C3semidirect
43. C2×#949C2×C3semidirect
44. C2×#948C2×C3semidirect
45. C22×#213C2×C3semidirect
50. C2×#833C2×C3semidirect
51. #5199C2×C3direct (N × H)
52. C2×#823C2×C3semidirect
53. C2×#822C2×C3semidirect
113. C3×AGL(1,ℤ/8)C2×D3semidirect
114. C3×AGL(1,ℤ/8)C22×C3semidirect
138. #949C22×C3semidirect
140. #948C22×C3semidirect
146. C2×#213C22×C3semidirect
155. #833C22×C3semidirect
156. #823C22×C3semidirect
157. #822C22×C3semidirect
197. C2×AGL(1,ℤ/8)C3×D3semidirect
338. AGL(1,ℤ/8)C2×C3×D3semidirect
464. C2×C32#472semidirect
564. C32C2×#472semidirect
618. C2×C3#5199direct (N × H)
619. C2×C3C3×#472semidirect
643. C3C2×#5199direct (N × H)
644. C3C2×C3×#472semidirect
650. C2C3×#5199direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C32×AGL(1,ℤ/8)2
C2×C3×#9492
C2×C3×#9482
C22×C3×#2132
C2×C3×#8332
C3×#51992
C2×C3×#8232
C2×C3×#8222
C2×C3×#4723
C2×#51993