Finite Group Databasebeta

← C3×#70384 #11784860

Subgroups — C3×#70384 #11784860

Order 1152.

1325 conjugacy classes of subgroups.

The subgroup lattice has 726 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C3×#1009C211yesmaximal, characteristic
2C2×C32×#104C211yesmaximal, characteristic, complemented
3C3×#5232C211yesmaximal, characteristic, complemented
4C3×#5133C211yesmaximal, characteristic, complemented
5C2×C3×#823C211yesmaximal, characteristic, complemented
6C3×#4939C211yesmaximal, characteristic, complemented
7C2×C3×#805C211yesmaximal, characteristic, complemented
8C3×#1792—31nomaximal
9#70384C311yesmaximal, characteristic, direct product factor
10C2×C32×#41C2211yescharacteristic
11C3×#1009—22no—
12C3×#1009—22no—
13C3×#1009—22no—
14C3×#1009C414yescomplemented
15C2×C3×#239—21no—
16C2×C3×D3×D4—21no—
17C2×C3×D3×D4—22no—
18C2×C3×#235—21no—
19C2×C3×#235C2211yescharacteristic
20C22×C3×D12—21no—
21C22×C3×D12C2211yescharacteristic
22C2×C32×M16C2211yescharacteristic, complemented
23C2×C32×C42C2211yescharacteristic, complemented
24C2×C3×(C2×D3)⋊C4—22no—
25C2×C3×C4⋊Dic3C2211yescharacteristic, complemented
26C2×C3×#208C2211yescharacteristic, complemented
27C32×#104—22no—
28C3×#835—21no—
29C3×#832—21no—
30C3×#823—22no—
31C3×#821—21no—
32C3×#816—21no—
33C3×#805—22no—
34C2×C3×H(5,𝔽2)—31no—
35C2×#1009C2×C311yescharacteristic
36C2×C3×#104—21no—
37C2×C3×#104—31no—
38C2×C3×#104D311yescharacteristic, complemented
39C2×C3×#104C2×C311yescharacteristic, complemented
40C3×#417—31no—
41C3×#417—31no—
42C2×C3×#100—31no—
43C3×#390—31no—
44#5232C2×C311yescharacteristic, complemented
45#5133C2×C311yescharacteristic, complemented
46C2×#823C2×C311yescharacteristic, complemented
47#4939C2×C311yescharacteristic, complemented
48C2×#805C2×C311yescharacteristic, complemented
49C23×C3×D3—22no—
50C23×C3×D3D412yes—
51C32×#41—21no—
52C32×#41—21no—
53C32×#41C2×C412yes—
54C32×#41D412yes—
55C2×C32×Q8D411yescharacteristic
56C2×C32×D4—21no—
57C2×C32×D4D411yescharacteristic
58C22×C32×C4—21no—
59C22×C32×C4—21no—
60C22×C32×C4C2311yescharacteristic
61C2×C3×#67—22no—
62C2×C3×#67—21no—
63C22×C3×Dic3—21no—
64C3×#239—24no—
65C3×#239—24no—
66C3×D3×D4—28no—
67C3×D3×D4—24no—
68C3×D3×D4—28no—
69C3×D3×D4—24no—
70C3×#235—24no—
71C3×#235—21no—
72C3×#235—21no—
73C3×#235—24no—
74C3×#235C2×C412yes—
75C3×#235D412yes—
76C2×C3×D12—22no—
77C2×C3×D12—24no—
78C2×C3×D12—21no—
79C2×C3×D12—21no—
80C2×C3×D12—21no—
81C2×C3×D12—21no—
82C2×C3×D12—24no—
83C2×C3×D12C2×C412yes—
84C2×C3×D12D412yes—
85C2×C3×D12D411yescharacteristic
86C2×C3×C4×D3—22no—
87C2×C3×C4×D3—21no—
88C2×C3×Dic6D411yescharacteristic
89C32×M16—21no—
90C32×M16—21no—
91C2×C32×C8—21no—
92C32×C42—21no—
93C32×C42—21no—
94C3×(C2×D3)⋊C4—44no—
95C3×C4⋊Dic3—21no—
96C3×C4⋊Dic3—21no—
97C3×#208—21no—
98C3×#208—21no—
99C2×C3×C3⋊C8—21no—
100#1792—31noSylow
101C3×H(5,𝔽2)—34no—
102C3×H(5,𝔽2)—62no—
103C3×H(5,𝔽2)—62no—
104C3×H(5,𝔽2)—62no—
105C2×C3×#41—21no—
106C2×C3×#41—31no—
107C2×C3×#41—61no—
108C2×C3×#41—61no—
109C2×C3×#41C2×D311yescharacteristic
110C2×C3×#41C22×C311yescharacteristic
111C22×C3×D4—31no—
112C22×C3×D4—61no—
113C22×C3×D4—62no—
114C22×C3×D4—61no—
115#1009—22no—
116#1009—22no—
117#1009—22no—
118#1009C3×C414yescomplemented
119C2×#239—21no—
120C2×D3×D4—22no—
121C2×D3×D4—21no—
122C2×#235—21no—
123C2×#235C22×C311yescharacteristic
124C22×D12—21no—
125C22×D12C22×C311yescharacteristic
126C2×C3×M16—21no—
127C2×C3×M16—31no—
128C2×C3×M16C2×D311yescharacteristic, complemented
129C2×C3×M16C22×C311yescharacteristic, complemented
130C2×C3×C4⋊C4—31no—
131C2×C3×C22⋊C4—62no—
132C2×C3×C42—21no—
133C2×C3×C42C2×D311yescharacteristic, complemented
134C2×C3×C42C22×C311yescharacteristic, complemented
135C2×(C2×D3)⋊C4—22no—
136C2×C4⋊Dic3C22×C311yescharacteristic, complemented
137C2×#208C22×C311yescharacteristic, complemented
138C3×#104—24no—
139C3×#104—22no—
140C3×#104—22no—
141C3×#104—62no—
142C3×#103—61no—
143C3×#103—61no—
144C3×#102—61no—
145C3×#102—61no—
146C3×#100—62no—
147#835—21no—
148#832—21no—
149#823—22no—
150#821—21no—
151#816—21no—
152#805—22no—
153C23×C32—21no—
154C23×C32C2×D411yescharacteristic
155C22×C3×D3—21no—
156C22×C3×D3—22no—
157C22×C3×D3—28no—
158C22×C3×D3—22no—
159C22×C3×D3—42no—
160C22×C3×D3—42no—
161C22×C3×D3—82no—
162C22×C3×D3—82no—
163C22×C3×D3C22⋊C414yes—
164C32×Q8—21no—
165C32×Q8C22⋊C412yescomplemented
166C32×D4—22no—
167C32×D4—22no—
168C32×D4—21no—
169C32×D4C22⋊C412yescomplemented
170C2×C32×C4—21no—
171C2×C32×C4—22no—
172C2×C32×C4—22no—
173C2×C32×C4—22no—
174C2×C32×C4—41no—
175C2×C32×C4—41no—
176C2×C32×C4C22×C411yescharacteristic
177C2×C32×C4C2×D411yescharacteristic
178C2×C32×C4C2×D411yescharacteristic
179C2×C32×C4C2×D411yescharacteristic
180C2×C32×C4C2×D411yescharacteristic
181C2×C32×C4C2×D411yescharacteristic
182C3×#67—28no—
183C3×#67—22no—
184C3×#67—22no—
185C2×C3×Dic3—21no—
186C2×C3×Dic3—42no—
187C2×C3×Dic3—41no—
188C3×D12—28no—
189C3×D12—22no—
190C3×D12—22no—
191C3×D12—22no—
192C3×D12—21no—
193C3×D12—22no—
194C3×D12C22⋊C412yescomplemented
195C3×C4×D3—28no—
196C3×C4×D3—22no—
197C3×C4×D3—22no—
198C3×Dic6—21no—
199C3×Dic6C22⋊C412yescomplemented
200C32×C8—41no—
201C3×C3⋊C8—41no—
202C2×H(5,𝔽2)—31no—
203C2×#104—31no—
204C2×#104C3×D311yescharacteristic, complemented
205#417—31no—
206#417—31no—
207C2×#100—31no—
208#390—31no—
209C24×C3—32no—
210C24×C3—62no—
211C23×D3—22no—
212C23×D3C3×D412yes—
213C3×#41—21no—
214C3×#41—21no—
215C3×#41—21no—
216C3×#41—21no—
217C3×#41—22no—
218C3×#41—22no—
219C3×#41—32no—
220C3×#41—32no—
221C3×#41—41no—
222C3×#41—41no—
223C3×#41—64no—
224C3×#41—64no—
225C3×#41—64no—
226C3×#41—64no—
227C3×#41—61no—
228C3×#41—61no—
229C3×#41C4×D312yes—
230C3×#41#6712yes—
231C3×#41C2×C3×C412yes—
232C3×#41C3×D412yes—
233C2×C3×Q8—21no—
234C2×C3×Q8—31no—
235C2×C3×Q8D1211yescharacteristic
236C2×C3×Q8C3×D411yescharacteristic
237C2×C3×D4—21no—
238C2×C3×D4—21no—
239C2×C3×D4—21no—
240C2×C3×D4—32no—
241C2×C3×D4—31no—
242C2×C3×D4—32no—
243C2×C3×D4—41no—
244C2×C3×D4—64no—
245C2×C3×D4—62no—
246C2×C3×D4—64no—
247C2×C3×D4—68no—
248C2×C3×D4—68no—
249C2×C3×D4—64no—
250C2×C3×D4—62no—
251C2×C3×D4—61no—
252C2×C3×D4—64no—
253C2×C3×D4—61no—
254C2×C3×D4—61no—
255C2×C3×D4—61no—
256C2×C3×D4—61no—
257C2×C3×D4D1211yescharacteristic
258C2×C3×D4C3×D411yescharacteristic
259C22×C3×C4—21no—
260C22×C3×C4—21no—
261C22×C3×C4—21no—
262C22×C3×C4—21no—
263C22×C3×C4—21no—
264C22×C3×C4—41no—
265C22×C3×C4—41no—
266C22×C3×C4—62no—
267C22×C3×C4—61no—
268C22×C3×C4—61no—
269C22×C3×C4C22×D311yescharacteristic
270C22×C3×C4C23×C311yescharacteristic
271C2×#67—22no—
272C2×#67—21no—
273C22×Dic3—21no—
274#239—24no—
275#239—24no—
276D3×D4—28no—
277D3×D4—24no—
278D3×D4—28no—
279D3×D4—24no—
280#235—24no—
281#235—21no—
282#235—21no—
283#235—24no—
284#235C2×C3×C412yes—
285#235C3×D412yes—
286C2×D12—22no—
287C2×D12—24no—
288C2×D12—21no—
289C2×D12—21no—
290C2×D12—21no—
291C2×D12—21no—
292C2×D12—24no—
293C2×D12C2×C3×C412yes—
294C2×D12C3×D412yes—
295C2×D12C3×D411yescharacteristic
296C2×C4×D3—22no—
297C2×C4×D3—21no—
298C2×Dic6C3×D411yescharacteristic
299C3×M16—22no—
300C3×M16—21no—
301C3×M16—21no—
302C3×M16—21no—
303C3×M16—21no—
304C3×M16—41no—
305C3×M16—61no—
306C3×M16—61no—
307C2×C3×C8—21no—
308C2×C3×C8—21no—
309C2×C3×C8—41no—
310C2×C3×C8—61no—
311C3×C4⋊C4—61no—
312C3×C4⋊C4—61no—
313C3×C22⋊C4—124no—
314C3×C42—22no—
315C3×C42—21no—
316C3×C42—21no—
317C3×C42—21no—
318C3×C42—21no—
319C3×C42—41no—
320(C2×D3)⋊C4—44no—
321C4⋊Dic3—21no—
322C4⋊Dic3—21no—
323#208—21no—
324#208—21no—
325C2×C3⋊C8—21no—
326C22×C32—21no—
327C22×C32—21no—
328C22×C32—22no—
329C22×C32—41no—
330C22×C32—41no—
331C22×C32C2×C22⋊C411yescharacteristic
332C22×C32#12011yescharacteristic
333C22×C32#12011yescharacteristic
334C2×C3×D3—24no—
335C2×C3×D3—22no—
336C2×C3×D3—42no—
337C2×C3×D3—41no—
338C2×C3×D3—42no—
339C2×C3×D3—41no—
340C2×C3×D3—44no—
341C2×C3×D3—82no—
342C2×C3×D3—88no—
343C32×C4—22no—
344C32×C4—42no—
345C32×C4C2×C22⋊C411yescharacteristic
346C32×C4C2×C22⋊C411yescharacteristic
347C32×C4#12011yescharacteristic
348C32×C4#12011yescharacteristic
349C3×Dic3—22no—
350C3×Dic3—81no—
351H(5,𝔽2)—34no—
352H(5,𝔽2)—62no—
353H(5,𝔽2)—62no—
354H(5,𝔽2)—62no—
355C2×#41—31no—
356C2×#41—61no—
357C2×#41—61no—
358C2×#41C2×C3×D311yescharacteristic
359C22×D4—31no—
360C22×D4—61no—
361C22×D4—62no—
362C22×D4—61no—
363C2×M16—31no—
364C2×M16C2×C3×D311yescharacteristic, complemented
365C2×C4⋊C4—31no—
366C2×C22⋊C4—62no—
367C2×C42C2×C3×D311yescharacteristic, complemented
368#104—22no—
369#104—62no—
370#103—61no—
371#103—61no—
372#102—61no—
373#102—61no—
374#100—62no—
375C23×C3—21no—
376C23×C3—21no—
377C23×C3—21no—
378C23×C3—34no—
379C23×C3—41no—
380C23×C3—68no—
381C23×C3—61no—
382C23×C3—62no—
383C23×C3—62no—
384C23×C3—122no—
385C23×C3—122no—
386C23×C3—242no—
387C23×C3—242no—
388C23×C3D3×D411yescharacteristic
389C23×C3C2×C3×D411yescharacteristic
390C22×D3—22no—
391C22×D3—21no—
392C22×D3—28no—
393C22×D3—22no—
394C22×D3—42no—
395C22×D3—42no—
396C22×D3—82no—
397C22×D3—82no—
398C22×D3C3×C22⋊C414yes—
399C3×Q8—21no—
400C3×Q8—21no—
401C3×Q8—22no—
402C3×Q8—32no—
403C3×Q8—41no—
404C3×Q8—61no—
405C3×Q8(C2×D3)⋊C412yescomplemented
406C3×Q8C3×C22⋊C412yescomplemented
407C3×D4—22no—
408C3×D4—22no—
409C3×D4—22no—
410C3×D4—22no—
411C3×D4—21no—
412C3×D4—21no—
413C3×D4—22no—
414C3×D4—32no—
415C3×D4—41no—
416C3×D4—42no—
417C3×D4—42no—
418C3×D4—68no—
419C3×D4—68no—
420C3×D4—62no—
421C3×D4—62no—
422C3×D4—62no—
423C3×D4—62no—
424C3×D4—62no—
425C3×D4—61no—
426C3×D4—62no—
427C3×D4(C2×D3)⋊C412yescomplemented
428C3×D4C3×C22⋊C412yescomplemented
429C2×C3×C4—21no—
430C2×C3×C4—21no—
431C2×C3×C4—22no—
432C2×C3×C4—22no—
433C2×C3×C4—22no—
434C2×C3×C4—22no—
435C2×C3×C4—22no—
436C2×C3×C4—22no—
437C2×C3×C4—21no—
438C2×C3×C4—21no—
439C2×C3×C4—21no—
440C2×C3×C4—21no—
441C2×C3×C4—21no—
442C2×C3×C4—21no—
443C2×C3×C4—42no—
444C2×C3×C4—42no—
445C2×C3×C4—41no—
446C2×C3×C4—42no—
447C2×C3×C4—42no—
448C2×C3×C4—41no—
449C2×C3×C4—41no—
450C2×C3×C4—42no—
451C2×C3×C4—41no—
452C2×C3×C4—41no—
453C2×C3×C4—68no—
454C2×C3×C4—61no—
455C2×C3×C4—62no—
456C2×C3×C4—62no—
457C2×C3×C4—122no—
458C2×C3×C4—121no—
459C2×C3×C4C2×C4×D311yescharacteristic
460C2×C3×C4C2×D1211yescharacteristic
461C2×C3×C4D3×D411yescharacteristic
462C2×C3×C4D3×D411yescharacteristic
463C2×C3×C4D3×D411yescharacteristic
464C2×C3×C4C2×#6711yescharacteristic
465C2×C3×C4C22×C3×C411yescharacteristic
466C2×C3×C4C2×C3×D411yescharacteristic
467C2×C3×C4C2×C3×D411yescharacteristic
468C2×C3×C4C2×C3×D411yescharacteristic
469C2×C3×C4C2×C3×D411yescharacteristic
470C2×C3×C4C2×C3×D411yescharacteristic
471#67—28no—
472#67—22no—
473#67—22no—
474C2×Dic3—21no—
475C2×Dic3—42no—
476C2×Dic3—41no—
477D12—28no—
478D12—22no—
479D12—22no—
480D12—22no—
481D12—21no—
482D12—22no—
483D12C3×C22⋊C412yescomplemented
484C4×D3—28no—
485C4×D3—22no—
486C4×D3—22no—
487Dic6—21no—
488Dic6C3×C22⋊C412yescomplemented
489C3×C8—42no—
490C3×C8—41no—
491C3×C8—41no—
492C3×C8—121no—
493C3⋊C8—41no—
494C2×C32—21no—
495C2×C32—21no—
496C2×C32—42no—
497C2×C32#37911yescharacteristic
498C2×C32#45311yescharacteristic
499C2×C32#45511yescharacteristic
500C3×D3—44no—
501C3×D3—42no—
502C24—32no—
503C24—62no—
504#41—21no—
505#41—21no—
506#41—32no—
507#41—32no—
508#41—64no—
509#41—64no—
510#41—64no—
511#41—64no—
512#41—61no—
513#41—61no—
514#41C3×C4×D312yes—
515#41C3×#6712yes—
516C2×Q8—31no—
517C2×Q8C3×D1211yescharacteristic
518C2×D4—21no—
519C2×D4—32no—
520C2×D4—31no—
521C2×D4—32no—
522C2×D4—64no—
523C2×D4—62no—
524C2×D4—64no—
525C2×D4—68no—
526C2×D4—68no—
527C2×D4—64no—
528C2×D4—62no—
529C2×D4—61no—
530C2×D4—64no—
531C2×D4—61no—
532C2×D4—61no—
533C2×D4—61no—
534C2×D4—61no—
535C2×D4C3×D1211yescharacteristic
536C22×C4—21no—
537C22×C4—21no—
538C22×C4—62no—
539C22×C4—61no—
540C22×C4—61no—
541C22×C4C22×C3×D311yescharacteristic
542M16—21no—
543M16—21no—
544M16—61no—
545M16—61no—
546C2×C8—21no—
547C2×C8—61no—
548C4⋊C4—61no—
549C4⋊C4—61no—
550C22⋊C4—124no—
551C42—21no—
552C42—21no—
553C22×C3—21no—
554C22×C3—21no—
555C22×C3—21no—
556C22×C3—21no—
557C22×C3—22no—
558C22×C3—22no—
559C22×C3—21no—
560C22×C3—21no—
561C22×C3—21no—
562C22×C3—41no—
563C22×C3—41no—
564C22×C3—42no—
565C22×C3—41no—
566C22×C3—41no—
567C22×C3—41no—
568C22×C3—41no—
569C22×C3—62no—
570C22×C3—64no—
571C22×C3—81no—
572C22×C3—81no—
573C22×C3—124no—
574C22×C3—122no—
575C22×C3—121no—
576C22×C3—122no—
577C22×C3—121no—
578C22×C3—242no—
579C22×C3—248no—
580C22×C3D3×C22⋊C411yescharacteristic
581C22×C3#88211yescharacteristic
582C22×C3#93711yescharacteristic
583C22×C3C2×C3×C22⋊C411yescharacteristic
584C22×C3C3×#12011yescharacteristic
585C22×C3C3×#12011yescharacteristic
586C2×D3—24no—
587C2×D3—22no—
588C2×D3—42no—
589C2×D3—41no—
590C2×D3—42no—
591C2×D3—41no—
592C2×D3—44no—
593C2×D3—82no—
594C2×D3—88no—
595C3×C4—22no—
596C3×C4—22no—
597C3×C4—21no—
598C3×C4—21no—
599C3×C4—21no—
600C3×C4—21no—
601C3×C4—42no—
602C3×C4—42no—
603C3×C4—42no—
604C3×C4—44no—
605C3×C4—62no—
606C3×C4—241no—
607C3×C4D3×C22⋊C411yescharacteristic
608C3×C4#88211yescharacteristic
609C3×C4C2×(C2×D3)⋊C411yescharacteristic
610C3×C4#93711yescharacteristic
611C3×C4C2×C3×C22⋊C411yescharacteristic
612C3×C4C2×C3×C22⋊C411yescharacteristic
613C3×C4C3×#12011yescharacteristic
614C3×C4C3×#12011yescharacteristic
615Dic3—22no—
616Dic3—81no—
617C32#179211yescharacteristic, complemented, Sylow
618C23—21no—
619C23—34no—
620C23—68no—
621C23—61no—
622C23—62no—
623C23—62no—
624C23—122no—
625C23—122no—
626C23—242no—
627C23—242no—
628C23C3×D3×D411yescharacteristic
629Q8—21no—
630Q8—32no—
631Q8—61no—
632Q8C3×(C2×D3)⋊C412yescomplemented
633D4—22no—
634D4—22no—
635D4—21no—
636D4—32no—
637D4—68no—
638D4—68no—
639D4—62no—
640D4—62no—
641D4—62no—
642D4—62no—
643D4—62no—
644D4—61no—
645D4—62no—
646D4C3×(C2×D3)⋊C412yescomplemented
647C2×C4—21no—
648C2×C4—22no—
649C2×C4—22no—
650C2×C4—22no—
651C2×C4—41no—
652C2×C4—41no—
653C2×C4—68no—
654C2×C4—61no—
655C2×C4—62no—
656C2×C4—62no—
657C2×C4—122no—
658C2×C4—121no—
659C2×C4C2×C3×C4×D311yescharacteristic
660C2×C4C2×C3×D1211yescharacteristic
661C2×C4C3×D3×D411yescharacteristic
662C2×C4C3×D3×D411yescharacteristic
663C2×C4C3×D3×D411yescharacteristic
664C2×C4C2×C3×#6711yescharacteristic
665C8—41no—
666C8—121no—
667C2×C3—21no—
668C2×C3—21no—
669C2×C3—21no—
670C2×C3—21no—
671C2×C3—21no—
672C2×C3—21no—
673C2×C3—21no—
674C2×C3—41no—
675C2×C3—41no—
676C2×C3—42no—
677C2×C3—42no—
678C2×C3—82no—
679C2×C3—124no—
680C2×C3—122no—
681C2×C3#482211yescharacteristic
682C2×C3#482511yescharacteristic
683C2×C3#495511yescharacteristic
684C2×C3C3×#37911yescharacteristic
685C2×C3C3×#45311yescharacteristic
686C2×C3C3×#45511yescharacteristic
687D3—44no—
688D3—42no—
689C22—21no—
690C22—21no—
691C22—22no—
692C22—41no—
693C22—41no—
694C22—62no—
695C22—64no—
696C22—124no—
697C22—122no—
698C22—121no—
699C22—122no—
700C22—121no—
701C22—242no—
702C22—248no—
703C22C3×D3×C22⋊C411yescharacteristic
704C22C3×#88211yescharacteristic
705C22C3×#93711yescharacteristic
706C4—22no—
707C4—42no—
708C4—62no—
709C4—241no—
710C4C3×D3×C22⋊C411yescharacteristic
711C4C3×#88211yescharacteristic
712C4C2×C3×(C2×D3)⋊C411yescharacteristic
713C4C3×#93711yescharacteristic
714C3—21no—
715C3#7038411yescharacteristic, direct product factor
716C3C3×#179211yescharacteristic, complemented
717C2—21no—
718C2—21no—
719C2—42no—
720C2—124no—
721C2—122no—
722C2C3×#482211yescharacteristic
723C2C3×#482511yescharacteristic
724C2C3×#495511yescharacteristic
subgroupG/H
centerC22×C3#882
commutatorC2×C3×C4C22×C3×C4
FrattiniC22×C4C22×C3×D3
FittingC2×C32×#104C2
socleC22×C32#120
prime radicalC2×C3×#1009C2
cosocleC22×C3×C4C23×C3
hypercenterC2×C3×#104D3
hypocenterC3C3×#1792
LCSG ▷ C2×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C22×C3 ◁ C22×C3×C4 ◁ C2×C3×#104

Complements

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

NH ≅ G/Ntype
2. C2×C32×#104C2semidirect
3. C3×#5232C2semidirect
4. C3×#5133C2semidirect
5. C2×C3×#823C2semidirect
6. C3×#4939C2semidirect
7. C2×C3×#805C2semidirect
9. #70384C3direct (N × H)
14. C3×#1009C4semidirect
22. C2×C32×M16C22semidirect
23. C2×C32×C42C22semidirect
25. C2×C3×C4⋊Dic3C22semidirect
26. C2×C3×#208C22semidirect
38. C2×C3×#104D3semidirect
39. C2×C3×#104C2×C3semidirect
44. #5232C2×C3semidirect
45. #5133C2×C3semidirect
46. C2×#823C2×C3semidirect
47. #4939C2×C3semidirect
48. C2×#805C2×C3semidirect
118. #1009C3×C4semidirect
128. C2×C3×M16C2×D3semidirect
129. C2×C3×M16C22×C3semidirect
133. C2×C3×C42C2×D3semidirect
134. C2×C3×C42C22×C3semidirect
136. C2×C4⋊Dic3C22×C3semidirect
137. C2×#208C22×C3semidirect
165. C32×Q8C22⋊C4semidirect
169. C32×D4C22⋊C4semidirect
194. C3×D12C22⋊C4semidirect
199. C3×Dic6C22⋊C4semidirect
204. C2×#104C3×D3semidirect
364. C2×M16C2×C3×D3semidirect
367. C2×C42C2×C3×D3semidirect
405. C3×Q8(C2×D3)⋊C4semidirect
406. C3×Q8C3×C22⋊C4semidirect
427. C3×D4(C2×D3)⋊C4semidirect
428. C3×D4C3×C22⋊C4semidirect
483. D12C3×C22⋊C4semidirect
488. Dic6C3×C22⋊C4semidirect
617. C32#1792semidirect
632. Q8C3×(C2×D3)⋊C4semidirect
646. D4C3×(C2×D3)⋊C4semidirect
715. C3#70384direct (N × H)
716. C3C3×#1792semidirect

Maximal subgroups

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

subgroupindex
C2×C3×#10092
C2×C32×#1042
C3×#52322
C3×#51332
C2×C3×#8232
C3×#49392
C2×C3×#8052
C3×#17923
#703843