Finite Group Databasebeta

← #11805854

Subgroups — #11805854

Order 1152.

1381 conjugacy classes of subgroups.

The subgroup lattice has 705 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C3×#892C211yesmaximal, characteristic, complemented
2C2×C4×#626C211yesmaximal, characteristic
3C2×#63849C211yesmaximal, characteristic, complemented
4#10592686C211yesmaximal, characteristic, complemented
5C3×#4975C211yesmaximal, characteristic, complemented
6#10591384C212yesmaximal
7#10591313C211yesmaximal, characteristic, complemented
8#10591289C212yesmaximal, complemented
9#10591285C212yesmaximal, complemented
10Dic3×C4⋊Dic3C211yesmaximal, characteristic, complemented
11Dic3×Dic3⋊C4C212yesmaximal, complemented
12#82241—31nomaximal
13#74324—31nomaximal
14C22×C4×C3⋊D3C2211yescharacteristic
15C22×C3×C4×D3C2211yescharacteristic
16C22×#626C2211yescharacteristic
17C2×C32×C4⋊C4C2211yescharacteristic
18C2×#3752C2212yes—
19C2×C4⋊(C3⋊Dic3)C2211yescharacteristic
20C2×C3×(C2×D3)⋊C4C2212yes—
21C2×C3×C4⋊Dic3C2211yescharacteristic
22C2×C3×C4⋊Dic3C2211yescharacteristic
23C2×C3×Dic3⋊C4C2212yes—
24C2×C3×Dic3⋊C4C2212yes—
25C2×C3×C4×Dic3C2212yes—
26C2×C3×C4×Dic3C2211yescharacteristic
27C3×#892—24no—
28C2×Dic3⋊Dic3C2211yescharacteristic
29C2×#3722C2212yes—
30C2×#3722C2211yescharacteristic
31C2×(C2×D3)⋊Dic3C2212yes—
32C2×(C2×D3)⋊Dic3C2211yescharacteristic
33C2×Dic32C2212yes—
34C2×Dic32C2212yes—
35C4×#626C418yescomplemented
36#63849—24no—
37#63658C2212yes—
38#63579C2212yes—
39#63579C2212yes—
40C2×C3×#117—31no—
41C2×C4×#67—31no—
42C2×#892—31no—
43C2×#892—31no—
44C2×#892D311yescharacteristic, complemented
45C2×C4×D12—31no—
46C3×#384—31no—
47#5212—31no—
48#4990—32no—
49#4990—32no—
50#4988—32no—
51#4987—31no—
52#4987—31no—
53#4987—31no—
54#4987—61no—
55#4975D311yescharacteristic, complemented
56Dic3×C4⋊C4—32no—
57Dic3×C4⋊C4—31no—
58#4957—32no—
59#4944—32no—
60#4940—32no—
61C4×C4⋊Dic3—31no—
62C4×Dic3⋊C4—32no—
63C23×C3⋊D3C2311yescharacteristic
64C23×C3×D3C2311yescharacteristic
65C22×C32×C4C2312yes—
66C22×C32×C4C2311yescharacteristic
67C22×C3⋊Dic3C2312yes—
68C22×C3⋊Dic3C2311yescharacteristic
69C2×C4×C3⋊D3—22no—
70C2×C4×C3⋊D3—22no—
71C2×C4×C3⋊D3C2×C414yes—
72C22×C3×Dic3C2312yes—
73C22×C3×Dic3C2311yescharacteristic
74C22×C3×Dic3C2311yescharacteristic
75C22×C3×Dic3C2312yes—
76C22×C3×Dic3C2311yescharacteristic
77C2×C3×C4×D3—22no—
78C2×C3×C4×D3—22no—
79C2×C3×C4×D3C2×C414yes—
80C2×#626—22no—
81C2×#626—22no—
82C2×#626C2×C414yes—
83C32×C4⋊C4—22no—
84#3752—42no—
85C4⋊(C3⋊Dic3)—22no—
86C3×(C2×D3)⋊C4—24no—
87C3×C4⋊Dic3—22no—
88C3×C4⋊Dic3D414yescomplemented
89C3×Dic3⋊C4—24no—
90C3×Dic3⋊C4—42no—
91C3×C4×Dic3—24no—
92C3×C4×Dic3C2×C414yes—
93Dic3⋊Dic3C2×C414yes—
94#3722—24no—
95#3722C2×C414yes—
96(C2×D3)⋊Dic3—42no—
97(C2×D3)⋊Dic3C2×C414yes—
98Dic32—24no—
99Dic32—24no—
100#2354—91noSylow
101C23×C3×C4—31no—
102C22×#67—31no—
103C22×D12—31no—
104C22×C4×D3—31no—
105C22×C4×D3—31no—
106C22×C4×D3—61no—
107C22×C4×D3C2×D311yescharacteristic
108C3×#117—64no—
109C2×C3×C4⋊C4—21no—
110C2×C3×C4⋊C4—31no—
111C2×C3×C4⋊C4—32no—
112C2×C3×C4⋊C4—31no—
113C2×C3×C4⋊C4—32no—
114C2×C3×C4⋊C4C2×D311yescharacteristic
115C2×C3×C4⋊C4C2×D311yescharacteristic
116C2×C3×C22⋊C4—32no—
117C2×C3×C42—31no—
118C2×C3×C42—32no—
119C2×#217—31no—
120C2×#217—32no—
121C4×#67—38no—
122C2×(C2×D3)⋊C4—31no—
123C2×(C2×D3)⋊C4—31no—
124C2×(C2×D3)⋊C4—31no—
125C2×(C2×D3)⋊C4—32no—
126C2×(C2×D3)⋊C4—32no—
127C2×(C2×D3)⋊C4—32no—
128C2×(C2×D3)⋊C4—32no—
129C2×(C2×D3)⋊C4—32no—
130C2×(C2×D3)⋊C4—62no—
131C2×(C2×D3)⋊C4C2×D312yes—
132C2×C4⋊Dic3—31no—
133C2×C4⋊Dic3—31no—
134C2×C4⋊Dic3—31no—
135C2×C4⋊Dic3—61no—
136C2×C4⋊Dic3C2×D311yescharacteristic
137C2×C4⋊Dic3C2×D311yescharacteristic
138C2×Dic3⋊C4—31no—
139C2×Dic3⋊C4C2×D312yes—
140C2×Dic3⋊C4C2×D312yes—
141C2×C4×Dic3—32no—
142C2×C4×Dic3—32no—
143C2×C4×Dic3—32no—
144C2×C4×Dic3—32no—
145C2×C4×Dic3C2×D312yes—
146C2×C4×Dic3C2×D311yescharacteristic
147#892—24no—
148#892—64no—
149#892—64no—
150C4×D12—38no—
151C3⋊#95—32no—
152C3⋊#95—32no—
153C3⋊#95—32no—
154C3⋊#95—32no—
155C3⋊#95—32no—
156C3⋊#95—32no—
157C3⋊#95—62no—
158C23×C32C2411yescharacteristic
159C22×C3⋊D3—21no—
160C22×C3⋊D3—21no—
161C22×C3⋊D3—21no—
162C22×C3⋊D3—21no—
163C22×C3⋊D3—21no—
164C22×C3⋊D3—21no—
165C22×C3⋊D3C22×C412yes—
166C22×C3×D3—21no—
167C22×C3×D3—21no—
168C22×C3×D3—21no—
169C22×C3×D3—21no—
170C22×C3×D3—21no—
171C22×C3×D3—21no—
172C22×C3×D3C22×C412yes—
173C2×C32×C4—22no—
174C2×C32×C4—22no—
175C2×C32×C4—22no—
176C2×C32×C4C22×C412yes—
177C2×C32×C4C2×D412yes—
178C2×C32×C4#4112yes—
179C2×C3⋊Dic3—21no—
180C2×C3⋊Dic3—21no—
181C2×C3⋊Dic3—22no—
182C2×C3⋊Dic3—22no—
183C2×C3⋊Dic3—22no—
184C2×C3⋊Dic3C22×C412yes—
185C4×C3⋊D3—28no—
186C2×C3×Dic3—21no—
187C2×C3×Dic3—22no—
188C2×C3×Dic3—21no—
189C2×C3×Dic3—21no—
190C2×C3×Dic3—21no—
191C2×C3×Dic3—22no—
192C2×C3×Dic3—22no—
193C2×C3×Dic3—22no—
194C2×C3×Dic3—22no—
195C2×C3×Dic3C22×C412yes—
196C2×C3×Dic3C22×C412yes—
197C2×C3×Dic3C22×C412yes—
198C2×C3×Dic3C2×D414yes—
199C2×C3×Dic3#4112yes—
200C2×C3×Dic3#4112yes—
201C3×C4×D3—28no—
202#626—28no—
203C2×C4×D4—91no—
204C2×#117—31no—
205C2×#117—91no—
206#390—92no—
207#388—92no—
208#388—92no—
209#384—31no—
210#380—91no—
211#380—91no—
212C4×C4⋊C4—92no—
213C4×C4⋊C4—91no—
214C24×C3—31no—
215C23×D3—31no—
216C23×D3—31no—
217C23×D3—61no—
218C23×D3C22×D311yescharacteristic
219C22×C3×C4—21no—
220C22×C3×C4—22no—
221C22×C3×C4—31no—
222C22×C3×C4—31no—
223C22×C3×C4—31no—
224C22×C3×C4—32no—
225C22×C3×C4—34no—
226C22×C3×C4—32no—
227C22×C3×C4—62no—
228C22×C3×C4—62no—
229C22×C3×C4C22×D312yes—
230C22×C3×C4C22×D312yes—
231C22×C3×C4C22×D311yescharacteristic
232C22×C3×C4C22×D311yescharacteristic
233C2×#67—34no—
234C2×#67—62no—
235C2×#67—62no—
236C22×Dic3—31no—
237C22×Dic3—31no—
238C22×Dic3—32no—
239C22×Dic3—32no—
240C22×Dic3—61no—
241C22×Dic3—62no—
242C22×Dic3C22×D312yes—
243C22×Dic3C22×D311yescharacteristic
244C22×Dic3C22×D311yescharacteristic
245C22×Dic3C22×D312yes—
246C22×Dic3C22×D311yescharacteristic
247C2×D12—34no—
248C2×D12—62no—
249C2×D12—62no—
250C2×C4×D3—22no—
251C2×C4×D3—22no—
252C2×C4×D3—34no—
253C2×C4×D3—34no—
254C2×C4×D3—64no—
255C2×C4×D3—62no—
256C2×C4×D3—62no—
257C2×C4×D3—62no—
258C2×C4×D3—62no—
259C2×C4×D3—122no—
260C2×C4×D3—122no—
261C2×C4×D3C4×D314yes—
262C3×C4⋊C4—22no—
263C3×C4⋊C4—22no—
264C3×C4⋊C4—34no—
265C3×C4⋊C4—42no—
266C3×C4⋊C4—64no—
267C3×C4⋊C4—62no—
268C3×C4⋊C4—122no—
269C3×C22⋊C4—64no—
270C3×C42—34no—
271C3×C42—64no—
272#217—34no—
273#217—122no—
274(C2×D3)⋊C4—24no—
275(C2×D3)⋊C4—34no—
276(C2×D3)⋊C4—34no—
277(C2×D3)⋊C4—34no—
278(C2×D3)⋊C4—64no—
279(C2×D3)⋊C4—64no—
280(C2×D3)⋊C4—122no—
281(C2×D3)⋊C4—122no—
282(C2×D3)⋊C4—122no—
283(C2×D3)⋊C4—124no—
284C4⋊Dic3—22no—
285C4⋊Dic3—34no—
286C4⋊Dic3—62no—
287C4⋊Dic3—62no—
288C4⋊Dic3—122no—
289C4⋊Dic3#6714yescomplemented
290Dic3⋊C4—24no—
291Dic3⋊C4—34no—
292Dic3⋊C4—42no—
293C4×Dic3—24no—
294C4×Dic3—64no—
295C4×Dic3—64no—
296C4×Dic3—64no—
297C4×Dic3—64no—
298C4×Dic3C4×D314yes—
299C22×C32C23×C411yescharacteristic
300C22×C32C22×D411yescharacteristic
301C22×C32C2×#4111yescharacteristic
302C22×C32C2×#4111yescharacteristic
303C22×C32C2×#4111yescharacteristic
304C22×C32H(5,𝔽2)11yescharacteristic
305C22×C322−1+411yescharacteristic
306C2×C3⋊D3—22no—
307C2×C3⋊D3—22no—
308C2×C3⋊D3—22no—
309C2×C3⋊D3—41no—
310C2×C3⋊D3—41no—
311C2×C3⋊D3—41no—
312C2×C3⋊D3—41no—
313C2×C3×D3—22no—
314C2×C3×D3—22no—
315C2×C3×D3—22no—
316C2×C3×D3—41no—
317C2×C3×D3—41no—
318C2×C3×D3—41no—
319C2×C3×D3—41no—
320C32×C4—42no—
321C32×C4C4×D414yes—
322C3⋊Dic3—22no—
323C3⋊Dic3—42no—
324C3×Dic3—22no—
325C3×Dic3—22no—
326C3×Dic3—24no—
327C3×Dic3—42no—
328C3×Dic3#11714yescomplemented
329C22×D4—91no—
330C23×C4—31no—
331C23×C4—91no—
332C4×D4—98no—
333#117—64no—
334#117—184no—
335C2×C4⋊C4—31no—
336C2×C4⋊C4—31no—
337C2×C4⋊C4—32no—
338C2×C4⋊C4—32no—
339C2×C4⋊C4—91no—
340C2×C4⋊C4—91no—
341C2×C4⋊C4D3211yescharacteristic
342C2×C22⋊C4—32no—
343C2×C22⋊C4—91no—
344C2×C22⋊C4—91no—
345C2×C22⋊C4—92no—
346C2×C22⋊C4—92no—
347C2×C22⋊C4—92no—
348C2×C42—31no—
349C2×C42—32no—
350C2×C42—92no—
351C2×C42—92no—
352#95—92no—
353#95—92no—
354#95—92no—
355C23×C3—21no—
356C23×C3—32no—
357C23×C3—61no—
358C23×C3—61no—
359C23×C3—61no—
360C23×C3—61no—
361C23×C3—61no—
362C23×C3—61no—
363C23×C3C23×D311yescharacteristic
364C23×C3C23×D311yescharacteristic
365C22×D3—21no—
366C22×D3—21no—
367C22×D3—21no—
368C22×D3—21no—
369C22×D3—21no—
370C22×D3—21no—
371C22×D3—32no—
372C22×D3—32no—
373C22×D3—62no—
374C22×D3—62no—
375C22×D3—62no—
376C22×D3—61no—
377C22×D3—61no—
378C22×D3—61no—
379C22×D3—61no—
380C22×D3—61no—
381C22×D3—61no—
382C22×D3—61no—
383C22×D3—61no—
384C22×D3—61no—
385C22×D3—61no—
386C22×D3—61no—
387C22×D3—61no—
388C22×D3—121no—
389C22×D3—121no—
390C22×D3—121no—
391C22×D3—121no—
392C22×D3C2×C4×D312yes—
393C2×C3×C4—22no—
394C2×C3×C4—22no—
395C2×C3×C4—22no—
396C2×C3×C4—22no—
397C2×C3×C4—22no—
398C2×C3×C4—22no—
399C2×C3×C4—22no—
400C2×C3×C4—22no—
401C2×C3×C4—22no—
402C2×C3×C4—32no—
403C2×C3×C4—32no—
404C2×C3×C4—32no—
405C2×C3×C4—32no—
406C2×C3×C4—32no—
407C2×C3×C4—34no—
408C2×C3×C4—42no—
409C2×C3×C4—42no—
410C2×C3×C4—42no—
411C2×C3×C4—61no—
412C2×C3×C4—62no—
413C2×C3×C4—61no—
414C2×C3×C4—62no—
415C2×C3×C4—61no—
416C2×C3×C4—61no—
417C2×C3×C4—68no—
418C2×C3×C4—62no—
419C2×C3×C4—62no—
420C2×C3×C4—62no—
421C2×C3×C4C2×C4×D312yes—
422C2×C3×C4C2×C4×D312yes—
423C2×C3×C4#23512yes—
424C2×C3×C4D3×D412yes—
425C2×C3×C4#23912yes—
426C2×C3×C4C2×#6712yes—
427#67—68no—
428C2×Dic3—21no—
429C2×Dic3—21no—
430C2×Dic3—21no—
431C2×Dic3—22no—
432C2×Dic3—22no—
433C2×Dic3—21no—
434C2×Dic3—22no—
435C2×Dic3—22no—
436C2×Dic3—22no—
437C2×Dic3—32no—
438C2×Dic3—32no—
439C2×Dic3—62no—
440C2×Dic3—61no—
441C2×Dic3—61no—
442C2×Dic3—61no—
443C2×Dic3—61no—
444C2×Dic3—62no—
445C2×Dic3—62no—
446C2×Dic3—62no—
447C2×Dic3—62no—
448C2×Dic3—62no—
449C2×Dic3—62no—
450C2×Dic3—121no—
451C2×Dic3—121no—
452C2×Dic3—122no—
453C2×Dic3—122no—
454C2×Dic3—122no—
455C2×Dic3C2×C4×D312yes—
456C2×Dic3C2×C4×D312yes—
457C2×Dic3C2×C4×D312yes—
458C2×Dic3#23712yes—
459C2×Dic3#23912yes—
460C2×Dic3C2×#6714yes—
461D12—68no—
462C4×D3—28no—
463C4×D3—68no—
464C4×D3—68no—
465C4×D3—128no—
466C2×C32C2×#11711yescharacteristic
467C2×C32C2×C4×D411yescharacteristic
468C2×C32#52011yescharacteristic
469C2×C32#54711yescharacteristic
470C2×C32#55011yescharacteristic
471C2×C32#55511yescharacteristic
472C2×C32#55611yescharacteristic
473C3⋊D3—42no—
474C3×D3—42no—
475C24—31no—
476C24—91no—
477C2×D4—94no—
478C2×D4—182no—
479C2×D4—182no—
480C22×C4—31no—
481C22×C4—31no—
482C22×C4—31no—
483C22×C4—32no—
484C22×C4—34no—
485C22×C4—32no—
486C22×C4—62no—
487C22×C4—62no—
488C22×C4—91no—
489C22×C4—94no—
490C22×C4—92no—
491C22×C4—182no—
492C22×C4—182no—
493C22×C4C2×D3212yes—
494C22×C4C2×D3211yescharacteristic
495C4⋊C4—22no—
496C4⋊C4—34no—
497C4⋊C4—64no—
498C4⋊C4—62no—
499C4⋊C4—94no—
500C4⋊C4—122no—
501C4⋊C4—182no—
502C22⋊C4—64no—
503C22⋊C4—94no—
504C22⋊C4—94no—
505C22⋊C4—184no—
506C22⋊C4—362no—
507C22⋊C4—362no—
508C42—34no—
509C42—64no—
510C42—184no—
511C42—184no—
512C22×C3—21no—
513C22×C3—21no—
514C22×C3—21no—
515C22×C3—21no—
516C22×C3—21no—
517C22×C3—21no—
518C22×C3—21no—
519C22×C3—62no—
520C22×C3—62no—
521C22×C3—62no—
522C22×C3—121no—
523C22×C3—121no—
524C22×C3—121no—
525C22×C3—121no—
526C22×C3C22×C4×D311yescharacteristic
527C22×C3C22×C4×D311yescharacteristic
528C22×C3C2×#23511yescharacteristic
529C22×C3C2×D3×D411yescharacteristic
530C22×C3C2×#23711yescharacteristic
531C22×C3#100411yescharacteristic
532C22×C3C2×#23911yescharacteristic
533C22×C3C2×#23911yescharacteristic
534C22×C3#100711yescharacteristic
535C22×C3D3×#4111yescharacteristic
536C22×C3D3×#4111yescharacteristic
537C22×C3#100911yescharacteristic
538C22×C3#101011yescharacteristic
539C22×C3C22×#6711yescharacteristic
540C2×D3—22no—
541C2×D3—22no—
542C2×D3—22no—
543C2×D3—41no—
544C2×D3—41no—
545C2×D3—41no—
546C2×D3—41no—
547C2×D3—64no—
548C2×D3—62no—
549C2×D3—62no—
550C2×D3—62no—
551C2×D3—62no—
552C2×D3—62no—
553C2×D3—62no—
554C2×D3—122no—
555C2×D3—122no—
556C2×D3—122no—
557C2×D3—122no—
558C2×D3—122no—
559C2×D3—122no—
560C2×D3—121no—
561C2×D3—121no—
562C2×D3—121no—
563C2×D3—121no—
564C2×D3—121no—
565C2×D3—121no—
566C2×D3—121no—
567C2×D3—121no—
568C3×C4—24no—
569C3×C4—34no—
570C3×C4—42no—
571C3×C4—42no—
572C3×C4—64no—
573C3×C4—62no—
574C3×C4—62no—
575C3×C4—82no—
576C3×C4—122no—
577C3×C4#89314yes—
578C3×C4C4×#6714yes—
579Dic3—22no—
580Dic3—22no—
581Dic3—24no—
582Dic3—42no—
583Dic3—62no—
584Dic3—62no—
585Dic3—122no—
586Dic3—122no—
587Dic3—122no—
588Dic3—242no—
589Dic3#89214yescomplemented
590C32#235411yescharacteristic, complemented, Sylow
591C23—32no—
592C23—61no—
593C23—61no—
594C23—61no—
595C23—61no—
596C23—61no—
597C23—61no—
598C23—92no—
599C23—181no—
600C23—181no—
601C23—181no—
602C23—181no—
603C23—181no—
604C23—181no—
605C23C22×D3211yescharacteristic
606D4—188no—
607C2×C4—22no—
608C2×C4—22no—
609C2×C4—22no—
610C2×C4—32no—
611C2×C4—32no—
612C2×C4—32no—
613C2×C4—32no—
614C2×C4—32no—
615C2×C4—34no—
616C2×C4—61no—
617C2×C4—61no—
618C2×C4—62no—
619C2×C4—61no—
620C2×C4—62no—
621C2×C4—61no—
622C2×C4—68no—
623C2×C4—62no—
624C2×C4—62no—
625C2×C4—62no—
626C2×C4—92no—
627C2×C4—181no—
628C2×C4—181no—
629C2×C4—188no—
630C2×C4—182no—
631C2×C4—182no—
632C2×C4—182no—
633C2×C4#379912yes—
634C2×C4C4×D3212yes—
635C2×C4D3×#6712yes—
636C2×C3—21no—
637C2×C3—21no—
638C2×C3—21no—
639C2×C3—21no—
640C2×C3—21no—
641C2×C3—21no—
642C2×C3—21no—
643C2×C3—122no—
644C2×C3C2×#89211yescharacteristic
645C2×C3C2×#89311yescharacteristic
646C2×C3#550411yescharacteristic
647C2×C3D3×#11711yescharacteristic
648C2×C3#552311yescharacteristic
649C2×C3#553211yescharacteristic
650C2×C3#553311yescharacteristic
651C2×C3#571811yescharacteristic
652C2×C3#572611yescharacteristic
653C2×C3#573211yescharacteristic
654C2×C3#573411yescharacteristic
655C2×C3C2×C4×#6711yescharacteristic
656C2×C3#582411yescharacteristic
657C2×C3#583411yescharacteristic
658D3—42no—
659D3—124no—
660D3—122no—
661D3—122no—
662C22—62no—
663C22—62no—
664C22—62no—
665C22—121no—
666C22—121no—
667C22—121no—
668C22—121no—
669C22—182no—
670C22—182no—
671C22—182no—
672C22—361no—
673C22—361no—
674C22—361no—
675C22—361no—
676C22C2×#379911yescharacteristic
677C22C2×C4×D3211yescharacteristic
678C22D3×#23711yescharacteristic
679C22#6431411yescharacteristic
680C22#6431511yescharacteristic
681C22D3×#23911yescharacteristic
682C22C2×D3×#6711yescharacteristic
683C4—34no—
684C4—42no—
685C4—64no—
686C4—62no—
687C4—62no—
688C4—122no—
689C4—182no—
690C4—362no—
691C4#6390414yes—
692C3—21no—
693C3#7432411yescharacteristic, complemented
694C3#8224111yescharacteristic, complemented
695C2—122no—
696C2—362no—
697C2#1059451011yescharacteristic
698C2#1059455611yescharacteristic
699C2#1059456411yescharacteristic
700C2D3×#89211yescharacteristic
701C2C2×#6390411yescharacteristic
702C2#1059515811yescharacteristic
703C2#1059535811yescharacteristic
subgroupG/H
center, FrattiniC23C22×D32
commutatorC22×C32C23×C4
FittingC2×C32×C4⋊C4C22
socle, cosocleC23×C32C24
prime radicalC22×#626C22
hypercenterC2×C4⋊C4D32
hypocenterC32#2354
LCSG ▷ C22×C32 ▷ C32
UCSC1 ◁ C23 ◁ C2×C4⋊C4

Complements

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

NH ≅ G/Ntype
1. C2×C3×#892C2semidirect
3. C2×#63849C2semidirect
4. #10592686C2semidirect
5. C3×#4975C2semidirect
7. #10591313C2semidirect
8. #10591289C2semidirect
9. #10591285C2semidirect
10. Dic3×C4⋊Dic3C2semidirect
11. Dic3×Dic3⋊C4C2semidirect
35. C4×#626C4semidirect
44. C2×#892D3semidirect
55. #4975D3semidirect
88. C3×C4⋊Dic3D4semidirect
289. C4⋊Dic3#67semidirect
328. C3×Dic3#117semidirect
589. Dic3#892semidirect
590. C32#2354semidirect
693. C3#74324semidirect
694. C3#82241semidirect

Maximal subgroups

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

subgroupindex
C2×C3×#8922
C2×C4×#6262
C2×#638492
#105926862
C3×#49752
#105913842
#105913132
#105912892
#105912852
Dic3×C4⋊Dic32
Dic3×Dic3⋊C42
#822413
#743243