Finite Group Databasebeta

← #11808250

Subgroups — #11808250

Order 1152.

2101 conjugacy classes of subgroups.

The subgroup lattice has 748 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#3796C211yesmaximal, characteristic, complemented
2C2×#64102C211yesmaximal, characteristic, complemented
3C2×#63881C212yesmaximal, complemented
4C3×#4991C211yesmaximal, characteristic, complemented
5C3×#4979C211yesmaximal, characteristic, complemented
6#10591395C212yesmaximal, complemented
7#10591391C211yesmaximal, characteristic, complemented
8#10591368C212yesmaximal, complemented
9#10591310C211yesmaximal, characteristic, complemented
10#10591291C212yesmaximal, complemented
11#10591260C211yesmaximal, characteristic, complemented
12#77169—31nomaximal
13#76889—31nomaximal
14C22×C4⋊(C3⋊D3)C2211yescharacteristic
15C22×C4×C3⋊D3C2211yescharacteristic
16C22×C4×C3⋊D3C2211yescharacteristic
17C22×C3×D12C2211yescharacteristic
18C22×C3×Dic6C2211yescharacteristic
19C22×#626C2212yes—
20C22×#626C2212yes—
21C22×D3×Dic3C2212yes—
22C2×#3796—24no—
23C2×#3796—28no—
24C2×C32×C4⋊C4C2211yescharacteristic
25C2×#3752C2211yescharacteristic
26C2×#3752C2211yescharacteristic
27C2×C4×C3⋊Dic3C2211yescharacteristic
28#64102—24no—
29C2×C3×(C2×D3)⋊C4C2212yes—
30C2×C3×(C2×D3)⋊C4C2212yes—
31C2×C3×Dic3⋊C4C2212yes—
32C2×#3722C2212yes—
33C2×#3722C2212yes—
34C2×(C2×D3)⋊Dic3C2212yes—
35C2×Dic32C2212yes—
36#63881—28no—
37C3×C3⋊#95C2211yescharacteristic
38C3×C3⋊#95C2211yescharacteristic
39C3×C3⋊#95C2212yes—
40#63579C2212yes—
41C22×#239—31no—
42C22×#237—31no—
43C2×#893—31no—
44C2×#893—31no—
45C2×#893—32no—
46C2×#893—61no—
47C2×#67⋊C4—32no—
48C3×#395—31no—
49C3×#394—31no—
50#5231—31no—
51#5223—31no—
52#4991—32no—
53#4991D311yescharacteristic, complemented
54#4979D311yescharacteristic, complemented
55#4960—32no—
56#4959—32no—
57Dic3×C22⋊C4—32no—
58#4673—31no—
59#4671—31no—
60#4671—32no—
61#4666—32no—
62#4666—31no—
63#4666—31no—
64C23×C3⋊D3C2311yescharacteristic
65C23×C3⋊D3C2311yescharacteristic
66C23×C3×D3C2312yes—
67C22×C32×C4C2311yescharacteristic
68C22×C32×C4C2311yescharacteristic
69C22×C32×C4C2311yescharacteristic
70C22×C3⋊Dic3C2311yescharacteristic
71C22×C3⋊Dic3C2311yescharacteristic
72C2×C4⋊(C3⋊D3)—22no—
73C2×C4⋊(C3⋊D3)—22no—
74C2×C4⋊(C3⋊D3)—22no—
75C2×C4×C3⋊D3—24no—
76C2×C4×C3⋊D3—22no—
77C2×C4×C3⋊D3—24no—
78C2×C4×C3⋊D3D414yescomplemented
79C22×C3×Dic3C2312yes—
80C22×C3×Dic3C2312yes—
81C22×C3×Dic3C2312yes—
82C2×C3×D12—24no—
83C2×C3×D12—22no—
84C2×C3×Dic6—22no—
85C2×C3×Dic6—24no—
86C2×#626—24no—
87C2×#626—24no—
88C2×#626—24no—
89C2×#626—24no—
90C2×#626—24no—
91C2×#626—24no—
92C2×D3×Dic3—24no—
93C2×D3×Dic3—24no—
94C2×D3×Dic3D418yescomplemented
95#3796—232no—
96C32×C4⋊C4—22no—
97#3752—22no—
98#3752—22no—
99C4×C3⋊Dic3—22no—
100C3×(C2×D3)⋊C4—24no—
101C3×(C2×D3)⋊C4—24no—
102C3×Dic3⋊C4—24no—
103#3722—24no—
104#3722—24no—
105(C2×D3)⋊Dic3—24no—
106Dic32—24no—
107#2388—91noSylow
108C22×C3×Q8—31no—
109C22×C3×D4—31no—
110C22×#67—32no—
111C22×#67—32no—
112C23×Dic3—32no—
113C2×#239—68no—
114C2×#239—64no—
115C2×#237—64no—
116C2×#237—68no—
117C22×D12—32no—
118C22×D12—32no—
119C22×D12—31no—
120C22×D12—31no—
121C22×D12—61no—
122C22×D12C2×D311yescharacteristic
123C22×C4×D3—32no—
124C22×C4×D3—31no—
125C22×C4×D3—31no—
126C22×C4×D3—31no—
127C22×C4×D3—31no—
128C22×C4×D3—61no—
129C22×C4×D3—61no—
130C22×Dic6C2×D311yescharacteristic
131C2×C3×C4⋊C4—21no—
132C2×C3×C4⋊C4—32no—
133C2×C3×C4⋊C4C2×D311yescharacteristic
134C2×C3×C4⋊C4C2×D311yescharacteristic
135C2×C3×C22⋊C4—32no—
136C2×C3×C22⋊C4—32no—
137C2×#217—32no—
138C2×(C2×D3)⋊C4—32no—
139C2×(C2×D3)⋊C4—31no—
140C2×(C2×D3)⋊C4—31no—
141C2×(C2×D3)⋊C4—31no—
142C2×(C2×D3)⋊C4—31no—
143C2×(C2×D3)⋊C4—32no—
144C2×(C2×D3)⋊C4—32no—
145C2×(C2×D3)⋊C4—32no—
146C2×(C2×D3)⋊C4—32no—
147C2×(C2×D3)⋊C4—61no—
148C2×(C2×D3)⋊C4—61no—
149C2×(C2×D3)⋊C4C2×D312yes—
150C2×(C2×D3)⋊C4C2×D312yes—
151C2×Dic3⋊C4C2×D312yes—
152C2×C4×Dic3—31no—
153C2×C4×Dic3—31no—
154C2×C4×Dic3—32no—
155C2×C4×Dic3—32no—
156C2×C4×Dic3—61no—
157#893—68no—
158#893—64no—
159#893—64no—
160#893—68no—
161#67⋊C4—68no—
162C3×#95—32no—
163C3×#95—31no—
164C3×#95—31no—
165C3⋊#95—32no—
166C3⋊#95—32no—
167C3⋊#95C2×D311yescharacteristic
168C3⋊#95C2×D311yescharacteristic
169C3⋊#95C2×D312yes—
170C23×C32C2411yescharacteristic
171C22×C3⋊D3—21no—
172C22×C3⋊D3—21no—
173C22×C3⋊D3—21no—
174C22×C3⋊D3—21no—
175C22×C3⋊D3—22no—
176C22×C3⋊D3—22no—
177C22×C3⋊D3—22no—
178C22×C3⋊D3—22no—
179C22×C3⋊D3C2×D412yes—
180C22×C3⋊D3#4112yescomplemented
181C22×C3×D3—22no—
182C22×C3×D3—22no—
183C22×C3×D3—22no—
184C22×C3×D3—22no—
185C22×C3×D3—22no—
186C22×C3×D3—22no—
187C22×C3×D3C2×D414yes—
188C2×C32×C4—21no—
189C2×C32×C4—21no—
190C2×C32×C4—21no—
191C2×C32×C4—22no—
192C2×C32×C4—22no—
193C2×C32×C4C2×D412yes—
194C2×C32×C4#4112yescomplemented
195C2×C3⋊Dic3—21no—
196C2×C3⋊Dic3—22no—
197C2×C3⋊Dic3C2×D414yes—
198C2×C3⋊Dic3C2×D412yes—
199C4⋊(C3⋊D3)—28no—
200C4×C3⋊D3—28no—
201C4×C3⋊D3—44no—
202C2×C3×Dic3—22no—
203C2×C3×Dic3—22no—
204C2×C3×Dic3—22no—
205C2×C3×Dic3—22no—
206C2×C3×Dic3—22no—
207C2×C3×Dic3—22no—
208C2×C3×Dic3—22no—
209C2×C3×Dic3C2×D414yes—
210C2×C3×Dic3#4114yescomplemented
211C3×D12—28no—
212C3×Dic6—28no—
213#626—216no—
214#626—216no—
215D3×Dic3—216no—
216C22×#41—91no—
217C2×C4×D4—92no—
218C2×C4×D4—91no—
219#395—31no—
220#394—31no—
221#394—92no—
222#393—91no—
223#392—92no—
224#392—91no—
225C4×C22⋊C4—91no—
226C4×C22⋊C4—92no—
227C24×C3—32no—
228C23×D3—31no—
229C23×D3—31no—
230C23×D3—31no—
231C23×D3—31no—
232C23×D3—61no—
233C23×D3—61no—
234C23×D3C22×D312yes—
235C2×C3×Q8—64no—
236C2×C3×Q8—62no—
237C2×C3×D4—64no—
238C2×C3×D4—62no—
239C22×C3×C4—21no—
240C22×C3×C4—21no—
241C22×C3×C4—21no—
242C22×C3×C4—32no—
243C22×C3×C4—32no—
244C22×C3×C4—32no—
245C22×C3×C4C22×D311yescharacteristic
246C22×C3×C4C22×D311yescharacteristic
247C22×C3×C4C22×D311yescharacteristic
248C22×C3×C4C22×D311yescharacteristic
249C22×C3×C4C22×D311yescharacteristic
250C22×C3×C4C22×D311yescharacteristic
251C2×#67—64no—
252C2×#67—64no—
253C2×#67—64no—
254C2×#67—64no—
255C2×#67—64no—
256C2×#67—64no—
257C22×Dic3—31no—
258C22×Dic3—31no—
259C22×Dic3—38no—
260C22×Dic3—31no—
261C22×Dic3—31no—
262C22×Dic3—61no—
263C22×Dic3—61no—
264C22×Dic3—64no—
265C22×Dic3—64no—
266C22×Dic3C22×D312yes—
267C22×Dic3C22×D312yes—
268C22×Dic3C22×D312yes—
269#239—632no—
270#237—632no—
271C2×D12—24no—
272C2×D12—22no—
273C2×D12—62no—
274C2×D12—62no—
275C2×D12—62no—
276C2×D12—62no—
277C2×D12—64no—
278C2×D12—64no—
279C2×D12—64no—
280C2×D12—64no—
281C2×D12—64no—
282C2×D12—64no—
283C2×D12—64no—
284C2×D12—64no—
285C2×D12—64no—
286C2×D12—62no—
287C2×D12—62no—
288C2×C4×D3—38no—
289C2×C4×D3—34no—
290C2×C4×D3—34no—
291C2×C4×D3—64no—
292C2×C4×D3—64no—
293C2×C4×D3—64no—
294C2×C4×D3—64no—
295C2×C4×D3—64no—
296C2×C4×D3—64no—
297C2×C4×D3—62no—
298C2×C4×D3—62no—
299C2×C4×D3—64no—
300C2×C4×D3—64no—
301C2×C4×D3—124no—
302C2×C4×D3—124no—
303C2×Dic6—22no—
304C2×Dic6—24no—
305C3×C4⋊C4—24no—
306C3×C4⋊C4—22no—
307C3×C4⋊C4—22no—
308C3×C4⋊C4—64no—
309C3×C22⋊C4—64no—
310C3×C22⋊C4—64no—
311#217—64no—
312(C2×D3)⋊C4—24no—
313(C2×D3)⋊C4—24no—
314(C2×D3)⋊C4—64no—
315(C2×D3)⋊C4—64no—
316(C2×D3)⋊C4—62no—
317(C2×D3)⋊C4—62no—
318(C2×D3)⋊C4—64no—
319(C2×D3)⋊C4—64no—
320(C2×D3)⋊C4—64no—
321(C2×D3)⋊C4—62no—
322(C2×D3)⋊C4—62no—
323(C2×D3)⋊C4—64no—
324(C2×D3)⋊C4—64no—
325Dic3⋊C4—24no—
326C4×Dic3—64no—
327C4×Dic3—64no—
328C4×Dic3—62no—
329C4×Dic3—62no—
330C4×Dic3—64no—
331C22×C32C22×D412yes—
332C22×C32C22×D411yescharacteristic
333C22×C32C2×#4111yescharacteristic
334C22×C32C2×#4112yes—
335C22×C32C2×#4111yescharacteristic
336C2×C3⋊D3—22no—
337C2×C3⋊D3—22no—
338C2×C3⋊D3—22no—
339C2×C3⋊D3—24no—
340C2×C3⋊D3—22no—
341C2×C3⋊D3—41no—
342C2×C3⋊D3—42no—
343C2×C3⋊D3—41no—
344C2×C3⋊D3—42no—
345C2×C3⋊D3—42no—
346C2×C3×D3—24no—
347C2×C3×D3—24no—
348C2×C3×D3—24no—
349C2×C3×D3—42no—
350C2×C3×D3—42no—
351C2×C3×D3—42no—
352C2×C3×D3—42no—
353C32×C4—22no—
354C32×C4—22no—
355C32×C4—41no—
356C3⋊Dic3—41no—
357C3⋊Dic3#12014yes—
358C3×Dic3—24no—
359C3×Dic3—24no—
360C3×Dic3—42no—
361C2×#41—188no—
362C2×#41—184no—
363C22×Q8—31no—
364C22×D4—31no—
365C22×D4—92no—
366C22×D4—92no—
367C22×D4—91no—
368C23×C4—92no—
369C23×C4—91no—
370C23×C4—91no—
371C4×D4—188no—
372C4×D4—184no—
373C2×C4⋊C4—32no—
374C2×C4⋊C4D3211yescharacteristic
375C2×C22⋊C4—32no—
376C2×C22⋊C4—32no—
377C2×C22⋊C4—92no—
378C2×C22⋊C4—92no—
379C2×C22⋊C4—92no—
380C2×C22⋊C4—91no—
381C2×C22⋊C4—91no—
382C2×C42—92no—
383C2×C42—91no—
384#95—31no—
385#95—32no—
386#95—31no—
387#95—92no—
388C23×C3—21no—
389C23×C3—34no—
390C23×C3—62no—
391C23×C3—62no—
392C23×C3—62no—
393C23×C3—62no—
394C23×C3—62no—
395C23×C3—62no—
396C23×C3C23×D311yescharacteristic
397C23×C3C23×D311yescharacteristic
398C22×D3—22no—
399C22×D3—22no—
400C22×D3—22no—
401C22×D3—22no—
402C22×D3—22no—
403C22×D3—22no—
404C22×D3—32no—
405C22×D3—32no—
406C22×D3—32no—
407C22×D3—32no—
408C22×D3—62no—
409C22×D3—62no—
410C22×D3—62no—
411C22×D3—62no—
412C22×D3—62no—
413C22×D3—62no—
414C22×D3—62no—
415C22×D3—61no—
416C22×D3—61no—
417C22×D3—62no—
418C22×D3—62no—
419C22×D3—62no—
420C22×D3—61no—
421C22×D3—61no—
422C22×D3—62no—
423C22×D3—61no—
424C22×D3—61no—
425C22×D3—62no—
426C22×D3—62no—
427C22×D3—61no—
428C22×D3—61no—
429C22×D3—62no—
430C22×D3—122no—
431C22×D3—122no—
432C22×D3—122no—
433C22×D3—122no—
434C22×D3D3×D414yes—
435C3×Q8—68no—
436C3×D4—68no—
437C2×C3×C4—22no—
438C2×C3×C4—22no—
439C2×C3×C4—21no—
440C2×C3×C4—21no—
441C2×C3×C4—22no—
442C2×C3×C4—22no—
443C2×C3×C4—21no—
444C2×C3×C4—21no—
445C2×C3×C4—22no—
446C2×C3×C4—22no—
447C2×C3×C4—22no—
448C2×C3×C4—21no—
449C2×C3×C4—21no—
450C2×C3×C4—22no—
451C2×C3×C4—22no—
452C2×C3×C4—34no—
453C2×C3×C4—34no—
454C2×C3×C4—42no—
455C2×C3×C4—42no—
456C2×C3×C4—62no—
457C2×C3×C4—62no—
458C2×C3×C4—62no—
459C2×C3×C4—62no—
460C2×C3×C4—62no—
461C2×C3×C4—62no—
462C2×C3×C4—62no—
463C2×C3×C4D3×D412yes—
464C2×C3×C4D3×D412yes—
465C2×C3×C4#23712yescomplemented
466C2×C3×C4#23912yescomplemented
467#67—616no—
468#67—616no—
469C2×Dic3—22no—
470C2×Dic3—22no—
471C2×Dic3—22no—
472C2×Dic3—22no—
473C2×Dic3—22no—
474C2×Dic3—22no—
475C2×Dic3—22no—
476C2×Dic3—34no—
477C2×Dic3—32no—
478C2×Dic3—32no—
479C2×Dic3—34no—
480C2×Dic3—62no—
481C2×Dic3—64no—
482C2×Dic3—616no—
483C2×Dic3—62no—
484C2×Dic3—61no—
485C2×Dic3—61no—
486C2×Dic3—62no—
487C2×Dic3—62no—
488C2×Dic3—122no—
489C2×Dic3D3×D414yes—
490C2×Dic3#23914yescomplemented
491D12—28no—
492D12—616no—
493D12—68no—
494D12—68no—
495D12—616no—
496D12—616no—
497C4×D3—68no—
498C4×D3—68no—
499C4×D3—616no—
500C4×D3—128no—
501C4×D3—124no—
502C4×D3—124no—
503C4×D3—128no—
504Dic6—28no—
505C2×C32C2×#12011yescharacteristic
506C2×C32#52512yes—
507C2×C32#52511yescharacteristic
508C2×C32#53211yescharacteristic
509C2×C32#53212yes—
510C3⋊D3—42no—
511C3⋊D3—42no—
512C3×D3—44no—
513C24—32no—
514C24—91no—
515C24—91no—
516#41—1832no—
517C2×Q8—64no—
518C2×Q8—62no—
519C2×D4—64no—
520C2×D4—62no—
521C2×D4—182no—
522C2×D4—182no—
523C2×D4—184no—
524C2×D4—184no—
525C2×D4—184no—
526C2×D4—184no—
527C2×D4—184no—
528C2×D4—184no—
529C2×D4—182no—
530C22×C4—32no—
531C22×C4—32no—
532C22×C4—32no—
533C22×C4—98no—
534C22×C4—91no—
535C22×C4—94no—
536C22×C4—91no—
537C22×C4—184no—
538C22×C4—182no—
539C22×C4—184no—
540C22×C4—184no—
541C22×C4—184no—
542C22×C4C2×D3211yescharacteristic
543C22×C4C2×D3211yescharacteristic
544C22×C4C2×D3211yescharacteristic
545C4⋊C4—22no—
546C4⋊C4—64no—
547C22⋊C4—64no—
548C22⋊C4—64no—
549C22⋊C4—182no—
550C22⋊C4—184no—
551C22⋊C4—184no—
552C22⋊C4—184no—
553C22⋊C4—182no—
554C42—182no—
555C42—184no—
556C22×C3—21no—
557C22×C3—21no—
558C22×C3—22no—
559C22×C3—22no—
560C22×C3—21no—
561C22×C3—64no—
562C22×C3—64no—
563C22×C3—64no—
564C22×C3—122no—
565C22×C3—122no—
566C22×C3—122no—
567C22×C3—122no—
568C22×C3C2×D3×D412yes—
569C22×C3C2×D3×D412yes—
570C22×C3C2×D3×D411yescharacteristic
571C22×C3C2×D3×D411yescharacteristic
572C22×C3C2×#23711yescharacteristic
573C22×C3C2×#23911yescharacteristic
574C22×C3C2×#23912yes—
575C22×C3D3×#4111yescharacteristic
576C22×C3D3×#4111yescharacteristic
577C22×C3D3×#4112yes—
578C2×D3—24no—
579C2×D3—24no—
580C2×D3—24no—
581C2×D3—42no—
582C2×D3—42no—
583C2×D3—42no—
584C2×D3—42no—
585C2×D3—64no—
586C2×D3—64no—
587C2×D3—64no—
588C2×D3—62no—
589C2×D3—62no—
590C2×D3—62no—
591C2×D3—62no—
592C2×D3—62no—
593C2×D3—62no—
594C2×D3—62no—
595C2×D3—62no—
596C2×D3—64no—
597C2×D3—122no—
598C2×D3—122no—
599C2×D3—124no—
600C2×D3—122no—
601C2×D3—122no—
602C2×D3—124no—
603C2×D3—124no—
604C2×D3—124no—
605C2×D3—122no—
606C2×D3—121no—
607C2×D3—121no—
608C2×D3—122no—
609C2×D3—122no—
610C2×D3—121no—
611C2×D3—121no—
612C2×D3—122no—
613C2×D3—122no—
614C2×D3—122no—
615C3×C4—24no—
616C3×C4—22no—
617C3×C4—22no—
618C3×C4—22no—
619C3×C4—22no—
620C3×C4—42no—
621C3×C4—42no—
622C3×C4—41no—
623C3×C4—41no—
624C3×C4—64no—
625C3×C4—64no—
626C3×C4—122no—
627Dic3—24no—
628Dic3—24no—
629Dic3—34no—
630Dic3—34no—
631Dic3—42no—
632Dic3—64no—
633Dic3—122no—
634Dic3—121no—
635Dic3—121no—
636C32#238811yescharacteristic, complemented, Sylow
637C23—34no—
638C23—62no—
639C23—62no—
640C23—62no—
641C23—62no—
642C23—62no—
643C23—62no—
644C23—92no—
645C23—92no—
646C23—181no—
647C23—181no—
648C23—181no—
649C23—182no—
650C23—182no—
651C23—182no—
652C23—182no—
653C23—181no—
654C23C22×D3211yescharacteristic
655Q8—68no—
656D4—68no—
657D4—188no—
658D4—1816no—
659D4—1816no—
660C2×C4—21no—
661C2×C4—22no—
662C2×C4—21no—
663C2×C4—22no—
664C2×C4—21no—
665C2×C4—34no—
666C2×C4—34no—
667C2×C4—62no—
668C2×C4—62no—
669C2×C4—62no—
670C2×C4—62no—
671C2×C4—62no—
672C2×C4—62no—
673C2×C4—62no—
674C2×C4—94no—
675C2×C4—92no—
676C2×C4—188no—
677C2×C4—1816no—
678C2×C4—182no—
679C2×C4—181no—
680C2×C4—364no—
681C2×C4#379612yescomplemented
682C2×C4#381112yes—
683C2×C3—21no—
684C2×C3—22no—
685C2×C3—22no—
686C2×C3—21no—
687C2×C3—21no—
688C2×C3—124no—
689C2×C3D3×#12011yescharacteristic
690C2×C3D3×#12011yescharacteristic
691C2×C3#559612yes—
692C2×C3#560611yescharacteristic
693C2×C3#562712yes—
694C2×C3#562711yescharacteristic
695C2×C3#565612yes—
696C2×C3#566811yescharacteristic
697C2×C3#572511yescharacteristic
698C2×C3#572512yes—
699D3—44no—
700D3—124no—
701D3—124no—
702D3—122no—
703D3—122no—
704D3—122no—
705D3—122no—
706C22—64no—
707C22—64no—
708C22—64no—
709C22—122no—
710C22—122no—
711C22—122no—
712C22—122no—
713C22—182no—
714C22—184no—
715C22—182no—
716C22—182no—
717C22—182no—
718C22—361no—
719C22—362no—
720C22—362no—
721C22—362no—
722C22—361no—
723C22C2×#379611yescharacteristic
724C22#6430611yescharacteristic
725C22D32×D412yes—
726C22D3×#23912yes—
727C22C2×#381111yescharacteristic
728C4—22no—
729C4—22no—
730C4—41no—
731C4—64no—
732C4—64no—
733C4—94no—
734C4—122no—
735C4—361no—
736C3—21no—
737C3#7688911yescharacteristic, complemented
738C3#7716911yescharacteristic, complemented
739C2—124no—
740C2—362no—
741C2—362no—
742C2#1059436912yes—
743C2#1059461512yes—
744C2#1059492211yescharacteristic
745C2#1059527811yescharacteristic
746C2#1059536311yescharacteristic
subgroupG/H
center, FrattiniC23C22×D32
commutator, socle, cosocleC23×C32C24
FittingC2×C32×C4⋊C4C22
hypercenterC2×C4⋊C4D32
hypocenterC32#2388
LCSG ▷ C23×C32 ▷ C32
UCSC1 ◁ C23 ◁ C2×C4⋊C4

Complements

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

NH ≅ G/Ntype
1. C22×#3796C2semidirect
2. C2×#64102C2semidirect
3. C2×#63881C2semidirect
4. C3×#4991C2semidirect
5. C3×#4979C2semidirect
6. #10591395C2semidirect
7. #10591391C2semidirect
8. #10591368C2semidirect
9. #10591310C2semidirect
10. #10591291C2semidirect
11. #10591260C2semidirect
53. #4991D3semidirect
54. #4979D3semidirect
78. C2×C4×C3⋊D3D4semidirect
94. C2×D3×Dic3D4semidirect
180. C22×C3⋊D3#41semidirect
194. C2×C32×C4#41semidirect
210. C2×C3×Dic3#41semidirect
465. C2×C3×C4#237semidirect
466. C2×C3×C4#239semidirect
490. C2×Dic3#239semidirect
636. C32#2388semidirect
681. C2×C4#3796semidirect
737. C3#76889semidirect
738. C3#77169semidirect

Maximal subgroups

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

subgroupindex
C22×#37962
C2×#641022
C2×#638812
C3×#49912
C3×#49792
#105913952
#105913912
#105913682
#105913102
#105912912
#105912602
#771693
#768893