Finite Group Databasebeta

← C2×#10591311 #11808270

Subgroups — C2×#10591311 #11808270

Order 1152.

2153 conjugacy classes of subgroups.

The subgroup lattice has 696 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#3752C211yesmaximal, characteristic
2C22×C3×C4⋊Dic3C211yesmaximal, characteristic, complemented
3C22×C3×Dic3⋊C4C211yesmaximal, characteristic, complemented
4C22×Dic3⋊Dic3C211yesmaximal, characteristic, complemented
5C22×#3722C211yesmaximal, characteristic
6C22×#3722C211yesmaximal, characteristic
7C2×#63579C211yesmaximal, characteristic, complemented
8#10591311C218yesmaximal, direct product factor
9C2×#4994—31nomaximal
10C2×#4994—31nomaximal
11C24×C3⋊D3C2211yescharacteristic
12C23×C32×C4C2211yescharacteristic
13C23×C3⋊Dic3C2211yescharacteristic
14C23×C3×Dic3C2211yescharacteristic
15C23×C3×Dic3C2211yescharacteristic
16C23×C3×Dic3C2211yescharacteristic
17C23×C3×Dic3C2211yescharacteristic
18C2×#3752—24no—
19C2×#3752C2214yes—
20C2×C3×C4⋊Dic3—24no—
21C2×C3×C4⋊Dic3C2214yescomplemented
22C2×C3×Dic3⋊C4—24no—
23C2×C3×Dic3⋊C4C2214yescomplemented
24C2×Dic3⋊Dic3—24no—
25C2×Dic3⋊Dic3C2214yescomplemented
26C2×#3722—24no—
27C2×#3722—24no—
28C2×#3722C2214yes—
29C2×#3722C2214yes—
30#63579C2214yescomplemented
31C22×C3×C4⋊C4—31no—
32C22×C3×C4⋊C4—31no—
33C22×(C2×D3)⋊C4—31no—
34C22×(C2×D3)⋊C4—31no—
35C22×(C2×D3)⋊C4—31no—
36C22×(C2×D3)⋊C4—31no—
37C22×(C2×D3)⋊C4—31no—
38C22×(C2×D3)⋊C4—31no—
39C22×(C2×D3)⋊C4—61no—
40C22×C4⋊Dic3—31no—
41C22×C4⋊Dic3D311yescharacteristic, complemented
42C22×Dic3⋊C4—31no—
43C22×Dic3⋊C4D311yescharacteristic, complemented
44C2×C3⋊#95—31no—
45C2×C3⋊#95—31no—
46#4994—38no—
47#4994—38no—
48C24×C32C2311yescharacteristic
49C23×C3⋊D3—22no—
50C23×C3⋊D3—22no—
51C23×C3⋊D3—22no—
52C23×C3⋊D3—22no—
53C23×C3⋊D3—22no—
54C23×C3⋊D3—22no—
55C23×C3⋊D3Q814yes—
56C23×C3⋊D3C2312yes—
57C22×C32×C4—22no—
58C22×C32×C4—22no—
59C22×C32×C4D414yes—
60C22×C32×C4C2312yes—
61C22×C3⋊Dic3—22no—
62C22×C3⋊Dic3—22no—
63C22×C3⋊Dic3—22no—
64C22×C3⋊Dic3C2312yes—
65C22×C3×Dic3—22no—
66C22×C3×Dic3—22no—
67C22×C3×Dic3—22no—
68C22×C3×Dic3—22no—
69C22×C3×Dic3—22no—
70C22×C3×Dic3—22no—
71C22×C3×Dic3—22no—
72C22×C3×Dic3—22no—
73C22×C3×Dic3—22no—
74C22×C3×Dic3—22no—
75C22×C3×Dic3D414yes—
76C22×C3×Dic3D414yes—
77C22×C3×Dic3C2312yes—
78C22×C3×Dic3C2312yes—
79C22×C3×Dic3C2312yes—
80C22×C3×Dic3C2312yes—
81#3752—28no—
82C3×C4⋊Dic3—28no—
83C3×Dic3⋊C4—28no—
84Dic3⋊Dic3—28no—
85#3722—28no—
86#3722—28no—
87C2×#396—91noSylow
88C24×D3—31no—
89C24×D3—31no—
90C24×D3—61no—
91C23×C3×C4—21no—
92C23×C3×C4—31no—
93C23×C3×C4—31no—
94C23×C3×C4—31no—
95C23×C3×C4—31no—
96C23×C3×C4C2×D311yescharacteristic
97C23×C3×C4C2×D311yescharacteristic
98C23×Dic3—31no—
99C23×Dic3—31no—
100C23×Dic3—61no—
101C23×Dic3C2×D311yescharacteristic
102C23×Dic3C2×D311yescharacteristic
103C23×Dic3C2×D311yescharacteristic
104C23×Dic3C2×D311yescharacteristic
105C2×C3×C4⋊C4—34no—
106C2×C3×C4⋊C4—34no—
107C2×C3×C4⋊C4—64no—
108C2×C3×C4⋊C4—64no—
109C2×(C2×D3)⋊C4—34no—
110C2×(C2×D3)⋊C4—34no—
111C2×(C2×D3)⋊C4—34no—
112C2×(C2×D3)⋊C4—34no—
113C2×(C2×D3)⋊C4—34no—
114C2×(C2×D3)⋊C4—34no—
115C2×(C2×D3)⋊C4—64no—
116C2×(C2×D3)⋊C4—64no—
117C2×(C2×D3)⋊C4—64no—
118C2×(C2×D3)⋊C4—68no—
119C2×(C2×D3)⋊C4—64no—
120C2×(C2×D3)⋊C4—64no—
121C2×(C2×D3)⋊C4—64no—
122C2×(C2×D3)⋊C4—64no—
123C2×C4⋊Dic3—24no—
124C2×C4⋊Dic3—34no—
125C2×C4⋊Dic3—64no—
126C2×C4⋊Dic3C2×D314yescomplemented
127C2×Dic3⋊C4—24no—
128C2×Dic3⋊C4—34no—
129C2×Dic3⋊C4—64no—
130C2×Dic3⋊C4C2×D314yescomplemented
131C3⋊#95—34no—
132C3⋊#95—34no—
133C23×C32C2×D412yes—
134C23×C32C2×D412yes—
135C23×C32C2×D412yes—
136C23×C32C2×Q812yes—
137C23×C32#4112yes—
138C23×C32#4112yes—
139C23×C32#4112yes—
140C23×C32C2411yescharacteristic
141C22×C3⋊D3—28no—
142C22×C3⋊D3—22no—
143C22×C3⋊D3—22no—
144C22×C3⋊D3—28no—
145C22×C3⋊D3—28no—
146C22×C3⋊D3—22no—
147C22×C3⋊D3—22no—
148C22×C3⋊D3—22no—
149C22×C3⋊D3—22no—
150C22×C3⋊D3—44no—
151C22×C3⋊D3—44no—
152C22×C3⋊D3—44no—
153C22×C3⋊D3—44no—
154C22×C3⋊D3C2×Q814yes—
155C2×C32×C4—28no—
156C2×C32×C4—22no—
157C2×C32×C4—22no—
158C2×C32×C4C2×D414yes—
159C2×C3⋊Dic3—22no—
160C2×C3⋊Dic3—22no—
161C2×C3⋊Dic3—22no—
162C2×C3⋊Dic3—44no—
163C2×C3×Dic3—28no—
164C2×C3×Dic3—28no—
165C2×C3×Dic3—22no—
166C2×C3×Dic3—22no—
167C2×C3×Dic3—22no—
168C2×C3×Dic3—22no—
169C2×C3×Dic3—22no—
170C2×C3×Dic3—22no—
171C2×C3×Dic3—22no—
172C2×C3×Dic3—22no—
173C2×C3×Dic3—22no—
174C2×C3×Dic3—22no—
175C2×C3×Dic3—44no—
176C2×C3×Dic3—44no—
177C2×C3×Dic3C2×D414yes—
178C2×C3×Dic3C2×D414yes—
179C22×C4⋊C4—31no—
180C22×C4⋊C4—31no—
181C22×C4⋊C4—91no—
182C22×C22⋊C4—91no—
183C22×C22⋊C4—91no—
184C22×C22⋊C4—91no—
185#396—98no—
186C2×#95—91no—
187C24×C3—21no—
188C24×C3C22×D311yescharacteristic
189C24×C3C22×D311yescharacteristic
190C23×D3—34no—
191C23×D3—34no—
192C23×D3—32no—
193C23×D3—32no—
194C23×D3—64no—
195C23×D3—62no—
196C23×D3—64no—
197C23×D3—64no—
198C23×D3—62no—
199C23×D3—62no—
200C23×D3—62no—
201C23×D3—62no—
202C23×D3—62no—
203C23×D3—62no—
204C23×D3—62no—
205C23×D3—62no—
206C23×D3—62no—
207C23×D3—62no—
208C23×D3—62no—
209C23×D3—62no—
210C23×D3—122no—
211C23×D3—122no—
212C23×D3—122no—
213C23×D3—122no—
214C22×C3×C4—22no—
215C22×C3×C4—22no—
216C22×C3×C4—22no—
217C22×C3×C4—22no—
218C22×C3×C4—24no—
219C22×C3×C4—22no—
220C22×C3×C4—34no—
221C22×C3×C4—34no—
222C22×C3×C4—32no—
223C22×C3×C4—32no—
224C22×C3×C4—32no—
225C22×C3×C4—32no—
226C22×C3×C4—42no—
227C22×C3×C4—42no—
228C22×C3×C4—62no—
229C22×C3×C4—62no—
230C22×C3×C4—62no—
231C22×C3×C4—62no—
232C22×C3×C4—62no—
233C22×C3×C4—62no—
234C22×C3×C4—62no—
235C22×C3×C4—62no—
236C22×C3×C4—62no—
237C22×C3×C4—62no—
238C22×C3×C4D1214yes—
239C22×C3×C4#6714yes—
240C22×C3×C4C22×D312yes—
241C22×C3×C4C22×D312yes—
242C22×Dic3—22no—
243C22×Dic3—22no—
244C22×Dic3—22no—
245C22×Dic3—22no—
246C22×Dic3—22no—
247C22×Dic3—22no—
248C22×Dic3—22no—
249C22×Dic3—22no—
250C22×Dic3—22no—
251C22×Dic3—22no—
252C22×Dic3—32no—
253C22×Dic3—32no—
254C22×Dic3—62no—
255C22×Dic3—64no—
256C22×Dic3—62no—
257C22×Dic3—62no—
258C22×Dic3—62no—
259C22×Dic3—62no—
260C22×Dic3—62no—
261C22×Dic3—62no—
262C22×Dic3—122no—
263C22×Dic3—122no—
264C22×Dic3D1214yes—
265C22×Dic3#6714yes—
266C22×Dic3C22×D312yes—
267C22×Dic3C22×D312yes—
268C22×Dic3C22×D312yes—
269C22×Dic3C22×D312yes—
270C3×C4⋊C4—68no—
271C3×C4⋊C4—68no—
272(C2×D3)⋊C4—68no—
273(C2×D3)⋊C4—68no—
274(C2×D3)⋊C4—616no—
275(C2×D3)⋊C4—68no—
276(C2×D3)⋊C4—68no—
277(C2×D3)⋊C4—68no—
278(C2×D3)⋊C4—68no—
279C4⋊Dic3—28no—
280C4⋊Dic3—68no—
281Dic3⋊C4—28no—
282Dic3⋊C4—68no—
283C22×C32#12114yes—
284C22×C32#12114yes—
285C22×C32#12114yes—
286C22×C32C22⋊Q814yes—
287C22×C32C22⋊Q814yes—
288C22×C32C22⋊Q814yes—
289C22×C32#12614yes—
290C22×C32C22×D411yescharacteristic
291C22×C32C22×D411yescharacteristic
292C22×C32C22×D411yescharacteristic
293C22×C32C22×Q811yescharacteristic
294C22×C32C2×#4111yescharacteristic
295C22×C32C2×#4111yescharacteristic
296C22×C32C2×#4111yescharacteristic
297C2×C3⋊D3—24no—
298C2×C3⋊D3—24no—
299C2×C3⋊D3—24no—
300C2×C3⋊D3—42no—
301C2×C3⋊D3—42no—
302C2×C3⋊D3—42no—
303C2×C3⋊D3—42no—
304C2×C3⋊D3—416no—
305C32×C4—24no—
306C3⋊Dic3—42no—
307C3×Dic3—24no—
308C3×Dic3—24no—
309C3×Dic3—42no—
310C3×Dic3—42no—
311C25—91no—
312C23×C4—31no—
313C23×C4—31no—
314C23×C4—31no—
315C23×C4—31no—
316C23×C4—91no—
317C23×C4D3211yescharacteristic
318C2×C4⋊C4—34no—
319C2×C4⋊C4—34no—
320C2×C4⋊C4—64no—
321C2×C4⋊C4—64no—
322C2×C4⋊C4—94no—
323C2×C4⋊C4—184no—
324C2×C22⋊C4—94no—
325C2×C22⋊C4—94no—
326C2×C22⋊C4—94no—
327C2×C22⋊C4—184no—
328C2×C22⋊C4—184no—
329C2×C22⋊C4—184no—
330#95—94no—
331C23×C3—21no—
332C23×C3—22no—
333C23×C3—22no—
334C23×C3—22no—
335C23×C3—22no—
336C23×C3—22no—
337C23×C3—22no—
338C23×C3—22no—
339C23×C3C2×D1212yes—
340C23×C3C2×D1212yes—
341C23×C3#23512yes—
342C23×C3#23512yes—
343C23×C3D3×D412yes—
344C23×C3D3×D412yes—
345C23×C3#23712yes—
346C23×C3#23712yes—
347C23×C3D3×Q812yes—
348C23×C3D3×Q812yes—
349C23×C3#23912yes—
350C23×C3#23912yes—
351C23×C3C2×#6712yes—
352C23×C3C2×#6712yes—
353C23×C3C23×D311yescharacteristic
354C23×C3C23×D311yescharacteristic
355C22×D3—34no—
356C22×D3—34no—
357C22×D3—64no—
358C22×D3—64no—
359C22×D3—64no—
360C22×D3—616no—
361C22×D3—68no—
362C22×D3—68no—
363C22×D3—68no—
364C22×D3—68no—
365C22×D3—68no—
366C22×D3—68no—
367C22×D3—62no—
368C22×D3—62no—
369C22×D3—62no—
370C22×D3—62no—
371C22×D3—62no—
372C22×D3—62no—
373C22×D3—62no—
374C22×D3—62no—
375C22×D3—62no—
376C22×D3—62no—
377C22×D3—62no—
378C22×D3—62no—
379C22×D3—122no—
380C22×D3—122no—
381C22×D3—122no—
382C22×D3—122no—
383C22×D3—128no—
384C22×D3—128no—
385C22×D3—128no—
386C22×D3—128no—
387C22×D3—128no—
388C22×D3—128no—
389C22×D3—124no—
390C22×D3—124no—
391C22×D3—124no—
392C22×D3—124no—
393C22×D3—124no—
394C22×D3—124no—
395C22×D3—124no—
396C22×D3—124no—
397C2×C3×C4—28no—
398C2×C3×C4—28no—
399C2×C3×C4—22no—
400C2×C3×C4—22no—
401C2×C3×C4—22no—
402C2×C3×C4—22no—
403C2×C3×C4—24no—
404C2×C3×C4—34no—
405C2×C3×C4—34no—
406C2×C3×C4—42no—
407C2×C3×C4—42no—
408C2×C3×C4—48no—
409C2×C3×C4—68no—
410C2×C3×C4—68no—
411C2×C3×C4—62no—
412C2×C3×C4—62no—
413C2×C3×C4—62no—
414C2×C3×C4—62no—
415C2×C3×C4—62no—
416C2×C3×C4—62no—
417C2×C3×C4—62no—
418C2×C3×C4—62no—
419C2×C3×C4—62no—
420C2×C3×C4—62no—
421C2×C3×C4—124no—
422C2×C3×C4—124no—
423C2×C3×C4C2×D1214yes—
424C2×C3×C4C2×#6714yes—
425C2×Dic3—28no—
426C2×Dic3—28no—
427C2×Dic3—22no—
428C2×Dic3—22no—
429C2×Dic3—22no—
430C2×Dic3—22no—
431C2×Dic3—22no—
432C2×Dic3—22no—
433C2×Dic3—22no—
434C2×Dic3—22no—
435C2×Dic3—22no—
436C2×Dic3—22no—
437C2×Dic3—44no—
438C2×Dic3—44no—
439C2×Dic3—64no—
440C2×Dic3—62no—
441C2×Dic3—62no—
442C2×Dic3—62no—
443C2×Dic3—62no—
444C2×Dic3—62no—
445C2×Dic3—62no—
446C2×Dic3—122no—
447C2×Dic3—122no—
448C2×Dic3—128no—
449C2×Dic3—124no—
450C2×Dic3—124no—
451C2×Dic3C2×D1214yes—
452C2×Dic3C2×#6714yes—
453C2×C32#39618yescomplemented
454C2×C32C2×#12111yescharacteristic
455C2×C32C2×#12111yescharacteristic
456C2×C32C2×#12111yescharacteristic
457C2×C32C2×C22⋊Q811yescharacteristic
458C2×C32C2×C22⋊Q811yescharacteristic
459C2×C32C2×C22⋊Q811yescharacteristic
460C2×C32C2×#12611yescharacteristic
461C3⋊D3—44no—
462C24—92no—
463C24—94no—
464C24—182no—
465C24—182no—
466C24—182no—
467C24—182no—
468C24—182no—
469C24—182no—
470C24C2×D3211yescharacteristic
471C22×C4—22no—
472C22×C4—22no—
473C22×C4—32no—
474C22×C4—32no—
475C22×C4—34no—
476C22×C4—34no—
477C22×C4—32no—
478C22×C4—32no—
479C22×C4—62no—
480C22×C4—62no—
481C22×C4—62no—
482C22×C4—62no—
483C22×C4—62no—
484C22×C4—62no—
485C22×C4—62no—
486C22×C4—62no—
487C22×C4—62no—
488C22×C4—62no—
489C22×C4—92no—
490C22×C4—182no—
491C22×C4—182no—
492C22×C4—182no—
493C22×C4#62614yes—
494C22×C4C2×D3212yes—
495C4⋊C4—68no—
496C4⋊C4—68no—
497C4⋊C4—188no—
498C22⋊C4—188no—
499C22⋊C4—188no—
500C22⋊C4—188no—
501C22×C3—21no—
502C22×C3—21no—
503C22×C3—21no—
504C22×C3—21no—
505C22×C3—21no—
506C22×C3—21no—
507C22×C3—21no—
508C22×C3—24no—
509C22×C3—24no—
510C22×C3—24no—
511C22×C3—24no—
512C22×C3—24no—
513C22×C3—24no—
514C22×C3—24no—
515C22×C3#89514yes—
516C22×C3#89514yes—
517C22×C3#89614yes—
518C22×C3#89614yes—
519C22×C3#89714yes—
520C22×C3#89714yes—
521C22×C3#89814yes—
522C22×C3#89814yes—
523C22×C3#93014yes—
524C22×C3#93014yes—
525C22×C3#93914yes—
526C22×C3#93914yes—
527C22×C3#94614yes—
528C22×C3#94614yes—
529C22×C3C22×D1211yescharacteristic
530C22×C3C22×D1211yescharacteristic
531C22×C3C2×#23511yescharacteristic
532C22×C3C2×#23511yescharacteristic
533C22×C3C2×D3×D411yescharacteristic
534C22×C3C2×D3×D411yescharacteristic
535C22×C3C2×#23711yescharacteristic
536C22×C3C2×#23711yescharacteristic
537C22×C3C2×D3×Q811yescharacteristic
538C22×C3C2×D3×Q811yescharacteristic
539C22×C3C2×#23911yescharacteristic
540C22×C3C2×#23911yescharacteristic
541C22×C3C22×#6711yescharacteristic
542C22×C3C22×#6711yescharacteristic
543C2×D3—68no—
544C2×D3—64no—
545C2×D3—64no—
546C2×D3—64no—
547C2×D3—64no—
548C2×D3—64no—
549C2×D3—64no—
550C2×D3—124no—
551C2×D3—124no—
552C2×D3—124no—
553C2×D3—124no—
554C2×D3—1232no—
555C2×D3—124no—
556C2×D3—124no—
557C2×D3—1216no—
558C2×D3—1216no—
559C2×D3—122no—
560C2×D3—122no—
561C2×D3—122no—
562C2×D3—122no—
563C2×D3—122no—
564C2×D3—122no—
565C2×D3—122no—
566C2×D3—122no—
567C3×C4—24no—
568C3×C4—24no—
569C3×C4—44no—
570C3×C4—64no—
571C3×C4—64no—
572C3×C4—122no—
573C3×C4—122no—
574Dic3—24no—
575Dic3—24no—
576Dic3—42no—
577Dic3—42no—
578Dic3—124no—
579Dic3—122no—
580Dic3—122no—
581C32C2×#39611yescharacteristic, complemented, Sylow
582C23—94no—
583C23—182no—
584C23—182no—
585C23—182no—
586C23—182no—
587C23—182no—
588C23—182no—
589C23—188no—
590C23—188no—
591C23—188no—
592C23—364no—
593C23—364no—
594C23—364no—
595C23—364no—
596C23#379612yes—
597C23#379712yes—
598C23#379912yes—
599C23D3×D1212yes—
600C23#380412yes—
601C23C2×#62612yes—
602C23D3×#6712yes—
603C23C22×D3211yescharacteristic
604C2×C4—22no—
605C2×C4—22no—
606C2×C4—28no—
607C2×C4—34no—
608C2×C4—34no—
609C2×C4—62no—
610C2×C4—62no—
611C2×C4—62no—
612C2×C4—62no—
613C2×C4—68no—
614C2×C4—68no—
615C2×C4—62no—
616C2×C4—62no—
617C2×C4—62no—
618C2×C4—62no—
619C2×C4—62no—
620C2×C4—62no—
621C2×C4—124no—
622C2×C4—124no—
623C2×C4—182no—
624C2×C4—182no—
625C2×C4—182no—
626C2×C4—364no—
627C2×C4C2×#62614yes—
628C2×C3—21no—
629C2×C3—21no—
630C2×C3—21no—
631C2×C3—28no—
632C2×C3—21no—
633C2×C3—21no—
634C2×C3—21no—
635C2×C3—21no—
636C2×C3#499418yescomplemented
637C2×C3#499418yescomplemented
638C2×C3C2×#89511yescharacteristic
639C2×C3C2×#89511yescharacteristic
640C2×C3C2×#89611yescharacteristic
641C2×C3C2×#89611yescharacteristic
642C2×C3C2×#89711yescharacteristic
643C2×C3C2×#89711yescharacteristic
644C2×C3C2×#89811yescharacteristic
645C2×C3C2×#89811yescharacteristic
646C2×C3C2×#93011yescharacteristic
647C2×C3C2×#93011yescharacteristic
648C2×C3C2×#93911yescharacteristic
649C2×C3C2×#93911yescharacteristic
650C2×C3C2×#94611yescharacteristic
651C2×C3C2×#94611yescharacteristic
652D3—128no—
653D3—124no—
654D3—124no—
655C22—184no—
656C22—184no—
657C22—184no—
658C22—362no—
659C22—362no—
660C22—3616no—
661C22—362no—
662C22—362no—
663C22#6384814yes—
664C22#6387114yes—
665C22#6388614yes—
666C22#6388814yes—
667C22#6389514yes—
668C22#6390914yes—
669C22#6397814yes—
670C22C2×#379611yescharacteristic
671C22C2×#379711yescharacteristic
672C22C2×#379911yescharacteristic
673C22C2×D3×D1211yescharacteristic
674C22C2×#380411yescharacteristic
675C22C22×#62611yescharacteristic
676C22C2×D3×#6711yescharacteristic
677C4—24no—
678C4—64no—
679C4—64no—
680C4—122no—
681C4—122no—
682C4—362no—
683C3—21no—
684C3C2×#499411yescharacteristic, complemented
685C3C2×#499411yescharacteristic, complemented
686C2—364no—
687C2#1059131118yesdirect product factor
688C2C2×#6384811yescharacteristic
689C2C2×#6387111yescharacteristic
690C2C2×#6388611yescharacteristic
691C2C2×#6388811yescharacteristic
692C2C2×#6389511yescharacteristic
693C2C2×#6390911yescharacteristic
694C2C2×#6397811yescharacteristic
subgroupG/H
centerC24C2×D32
commutator, cosocleC23×C32C24
FrattiniC23C22×D32
FittingC23×C32×C4C22
socleC24×C32C23
prime radicalC24×C3⋊D3C22
hypercenterC23×C4D32
hypocenterC32C2×#396
LCSG ▷ C23×C32 ▷ C32
UCSC1 ◁ C24 ◁ C23×C4

Complements

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

NH ≅ G/Ntype
2. C22×C3×C4⋊Dic3C2semidirect
3. C22×C3×Dic3⋊C4C2semidirect
4. C22×Dic3⋊Dic3C2semidirect
7. C2×#63579C2semidirect
8. #10591311C2direct (N × H)
21. C2×C3×C4⋊Dic3C22semidirect
23. C2×C3×Dic3⋊C4C22semidirect
25. C2×Dic3⋊Dic3C22semidirect
30. #63579C22semidirect
41. C22×C4⋊Dic3D3semidirect
43. C22×Dic3⋊C4D3semidirect
126. C2×C4⋊Dic3C2×D3semidirect
130. C2×Dic3⋊C4C2×D3semidirect
453. C2×C32#396semidirect
581. C32C2×#396semidirect
636. C2×C3#4994semidirect
637. C2×C3#4994semidirect
684. C3C2×#4994semidirect
685. C3C2×#4994semidirect
687. C2#10591311direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#37522
C22×C3×C4⋊Dic32
C22×C3×Dic3⋊C42
C22×Dic3⋊Dic32
C22×#37222
C2×#635792
#105913112
C2×#49943