Finite Group Databasebeta

← #14814346

Subgroups — #14814346

Order 2816.

944 conjugacy classes of subgroups.

The subgroup lattice has 724 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1D4×C4⋊Dic11C211yesmaximal, characteristic, complemented
2#13070174C211yesmaximal, characteristic, complemented
3#13070042C211yesmaximal, characteristic, complemented
4#13070019C211yesmaximal, characteristic, complemented
5#13069795C211yesmaximal, characteristic, complemented
6#13069233C211yesmaximal, characteristic, complemented
7#13069184C211yesmaximal, characteristic, complemented
8#13069045C211yesmaximal, characteristic, complemented
9#13068934C211yesmaximal, characteristic, complemented
10#13068934C211yesmaximal, characteristic, complemented
11#13068909C211yesmaximal, characteristic, complemented
12#13068804C211yesmaximal, characteristic, complemented
13#13068700C211yesmaximal, characteristic, complemented
14C2×#10622167C211yesmaximal, characteristic, complemented
15C11×#2416C211yesmaximal, characteristic
16C2×C11×#121—21no—
17C2×C11×#121C2211yescharacteristic
18C2×C11×#121C2211yescharacteristic
19C2×C4×D4×C11C2211yescharacteristic
20C22×C11×C4⋊C4C2211yescharacteristic
21C2×D4×Dic11—21no—
22C22×C4⋊Dic11C2211yescharacteristic
23C22×C4⋊Dic11C2211yescharacteristic
24C23×C11⋊C8C2211yescharacteristic
25C11×#396—21no—
26C11×#394—21no—
27C11×#390C2211yescharacteristic
28C11×#389C2211yescharacteristic
29C11×#386—21no—
30C11×#380C2211yescharacteristic
31C2×#66896C2211yescharacteristic
32C2×#66896C2211yescharacteristic
33C2×#66896C2211yescharacteristic
34C2×#66896C2211yescharacteristic
35#10622825C2211yescharacteristic
36#10622825C2211yescharacteristic
37C2×C22⋊(C11⋊C8)C2211yescharacteristic
38C2×C22⋊(C11⋊C8)C2211yescharacteristic
39C2×C22⋊(C11⋊C8)C2211yescharacteristic
40#10622598—21no—
41C2×#66871C2211yescharacteristic
42C2×#66871C2211yescharacteristic
43#10622563—21no—
44#10622563—21no—
45#10622548C2211yescharacteristic
46C4×C4⋊Dic11C2211yescharacteristic
47#10622167C2211yescharacteristic
48#10622167C2211yescharacteristic
49#10622167C2211yescharacteristic
50#10622167C2211yescharacteristic
51#10622167C2211yescharacteristic
52#10622167C2211yescharacteristic
53#10622167C2211yescharacteristic
54#10622167C2211yescharacteristic
55#10622167C2211yescharacteristic
56#10622167C2211yescharacteristic
57#10622162C2211yescharacteristic
58#10622162C2211yescharacteristic
59C22×D4×C11—21no—
60C22×D4×C11—21no—
61C22×D4×C11D411yescharacteristic
62C22×D4×C11C2311yescharacteristic
63C23×C4×C11—21no—
64C23×C4×C11C2311yescharacteristic
65C23×C4×C11C2311yescharacteristic
66C23×Dic11—21no—
67C23×Dic11—21no—
68C11×#121—22no—
69C11×#121—22no—
70C11×#121—22no—
71C11×#121—41no—
72C11×#121—44no—
73C4×D4×C11—22no—
74C4×D4×C11—22no—
75C2×C11×C4⋊C4—22no—
76C2×C11×C4⋊C4—21no—
77C2×C11×C4⋊C4—21no—
78C2×C11×C4⋊C4—41no—
79C2×C11×C4⋊C4D411yescharacteristic
80C2×C11×C4⋊C4C2311yescharacteristic
81C2×C11×C4⋊C4C2311yescharacteristic
82C2×C11×C4⋊C4C2311yescharacteristic
83C2×C11×C22⋊C4—21no—
84C2×C11×C22⋊C4—21no—
85C2×C11×C22⋊C4—21no—
86C2×C11×C22⋊C4—21no—
87C2×C11×C22⋊C4—21no—
88C2×C11×C22⋊C4D411yescharacteristic
89C2×C11×C22⋊C4D411yescharacteristic
90C2×C42×C11C2311yescharacteristic
91C2×C22⋊Dic11—21no—
92C2×C22⋊Dic11—21no—
93D4×Dic11—44no—
94C2×C4⋊Dic11—22no—
95C2×C4⋊Dic11—22no—
96C2×C4⋊Dic11—21no—
97C2×C4⋊Dic11—21no—
98C2×C4⋊Dic11—21no—
99C2×C4⋊Dic11—21no—
100C2×C4⋊Dic11—41no—
101C2×C4⋊Dic11—41no—
102C2×C4⋊Dic11C2311yescharacteristic
103C2×C4⋊Dic11C2311yescharacteristic
104C2×C4⋊Dic11C2311yescharacteristic
105C2×C4⋊Dic11C2311yescharacteristic
106C2×C4×Dic11—21no—
107C22×C11⋊C8—22no—
108C22×C11⋊C8—41no—
109C22×C11⋊C8—41no—
110C22×C11⋊C8C2311yescharacteristic
111C22×C11⋊C8C2311yescharacteristic
112C22×C11⋊C8C2311yescharacteristic
113C22×C11⋊C8C2311yescharacteristic
114C11×#95—21no—
115C11×#95—21no—
116#66896—22no—
117#66896—41no—
118#66896—41no—
119#66896—41no—
120C11⋊#95—21no—
121C11⋊#95—21no—
122C11⋊#95—21no—
123C22⋊(C11⋊C8)—22no—
124C22⋊(C11⋊C8)—41no—
125C22⋊(C11⋊C8)—41no—
126#66871—22no—
127#66871—41no—
128#26198—111nomaximal, Sylow
129C24×C11—21no—
130C24×C11C2×D411yescharacteristic
131C24×C11C2×D411yescharacteristic
132C2×D4×C11—22no—
133C2×D4×C11—22no—
134C2×D4×C11—21no—
135C2×D4×C11—21no—
136C2×D4×C11—21no—
137C2×D4×C11—21no—
138C2×D4×C11—21no—
139C2×D4×C11—21no—
140C2×D4×C11—42no—
141C2×D4×C11—42no—
142C2×D4×C11—42no—
143C2×D4×C11—42no—
144C2×D4×C11—42no—
145C2×D4×C11—81no—
146C2×D4×C11D814yes—
147C22×C4×C11—21no—
148C22×C4×C11—21no—
149C22×C4×C11—21no—
150C22×C4×C11—21no—
151C22×C4×C11—21no—
152C22×C4×C11—21no—
153C22×C4×C11—21no—
154C22×C4×C11—21no—
155C22×C4×C11—21no—
156C22×C4×C11—21no—
157C22×C4×C11—21no—
158C22×C4×C11—21no—
159C22×C4×C11—21no—
160C22×C4×C11—42no—
161C22×C4×C11—42no—
162C22×C4×C11—81no—
163C22×C4×C11C2×D411yescharacteristic
164C22×C4×C11C2×D411yescharacteristic
165C22×C4×C11C2×D411yescharacteristic
166C22×C4×C11C2×D411yescharacteristic
167C22×C4×C11#4112yes—
168C22×C4×C11#4112yes—
169C22×C4×C11C2411yescharacteristic
170C22×Dic11—21no—
171C22×Dic11—21no—
172C22×Dic11—21no—
173C22×Dic11—21no—
174C22×Dic11—42no—
175C22×Dic11—42no—
176C22×Dic11—42no—
177C22×Dic11—42no—
178C22×Dic11—81no—
179C22×Dic11—81no—
180C11×C4⋊C4—22no—
181C11×C4⋊C4—21no—
182C11×C4⋊C4—21no—
183C11×C4⋊C4—21no—
184C11×C4⋊C4—21no—
185C11×C4⋊C4—21no—
186C11×C4⋊C4—42no—
187C11×C4⋊C4—42no—
188C11×C4⋊C4#4112yes—
189C11×C22⋊C4—22no—
190C11×C22⋊C4—22no—
191C11×C22⋊C4—42no—
192C11×C22⋊C4—42no—
193C11×C22⋊C4—42no—
194C11×C22⋊C4—42no—
195C11×C22⋊C4—81no—
196C42×C11—21no—
197C42×C11—21no—
198C22⋊Dic11—42no—
199C22⋊Dic11—42no—
200C4⋊Dic11—21no—
201C4⋊Dic11—21no—
202C4⋊Dic11—21no—
203C4⋊Dic11—21no—
204C4⋊Dic11—21no—
205C4⋊Dic11—21no—
206C4⋊Dic11—21no—
207C4⋊Dic11—42no—
208C4⋊Dic11—42no—
209C4⋊Dic11—42no—
210C4⋊Dic11—81no—
211C4⋊Dic11#4112yes—
212C4×Dic11—42no—
213C2×C11⋊C8—21no—
214C2×C11⋊C8—21no—
215C2×C11⋊C8—21no—
216C2×C11⋊C8—21no—
217C2×C11⋊C8—21no—
218C2×C11⋊C8—21no—
219C2×C11⋊C8—21no—
220C2×C11⋊C8—21no—
221C2×C11⋊C8—21no—
222C2×C11⋊C8—21no—
223C2×C11⋊C8—21no—
224C2×C11⋊C8—21no—
225C2×C11⋊C8—44no—
226#2416D1111yescharacteristic
227D4×C4⋊C4—111no—
228#2099—111no—
229#2075—111no—
230#2071—111no—
231#2033—111no—
232#1925—111no—
233#1918—111no—
234#1893—111no—
235#1874—111no—
236#1874—111no—
237#1869—111no—
238#1852—111no—
239#1823—111no—
240C2×#340—111no—
241C23×C11—21no—
242C23×C11—21no—
243C23×C11—21no—
244C23×C11—21no—
245C23×C11—21no—
246C23×C11—21no—
247C23×C11—21no—
248C23×C11—21no—
249C23×C11—21no—
250C23×C11—21no—
251C23×C11—41no—
252C23×C11—41no—
253C23×C11—41no—
254C23×C11—41no—
255C23×C11—41no—
256C23×C11—41no—
257C23×C11—41no—
258C23×C11#12312yes—
259C23×C11C2×D812yes—
260C23×C11C2×D812yes—
261C23×C11#13712yes—
262C23×C11C22×D411yescharacteristic
263D4×C11—28no—
264D4×C11—41no—
265D4×C11—41no—
266D4×C11—41no—
267D4×C11—41no—
268D4×C11—84no—
269D4×C11—84no—
270C2×C4×C11—21no—
271C2×C4×C11—21no—
272C2×C4×C11—21no—
273C2×C4×C11—21no—
274C2×C4×C11—22no—
275C2×C4×C11—22no—
276C2×C4×C11—22no—
277C2×C4×C11—22no—
278C2×C4×C11—21no—
279C2×C4×C11—21no—
280C2×C4×C11—21no—
281C2×C4×C11—21no—
282C2×C4×C11—22no—
283C2×C4×C11—21no—
284C2×C4×C11—21no—
285C2×C4×C11—41no—
286C2×C4×C11—41no—
287C2×C4×C11—41no—
288C2×C4×C11—41no—
289C2×C4×C11—41no—
290C2×C4×C11—41no—
291C2×C4×C11—41no—
292C2×C4×C11—41no—
293C2×C4×C11—41no—
294C2×C4×C11—41no—
295C2×C4×C11—41no—
296C2×C4×C11—41no—
297C2×C4×C11—84no—
298C2×C4×C11#12312yes—
299C2×C4×C11C2×D812yes—
300C2×C4×C11C2×#4111yescharacteristic
301C2×C4×C11C2×#4111yescharacteristic
302C2×C4×C11C2×#4111yescharacteristic
303C2×C4×C11C2×#4111yescharacteristic
304C2×C4×C11H(5,𝔽2)11yescharacteristic
305C2×C4×C11H(5,𝔽2)11yescharacteristic
306C2×Dic11—22no—
307C2×Dic11—41no—
308C2×Dic11—41no—
309C2×Dic11—41no—
310C2×Dic11—41no—
311C2×Dic11—41no—
312C2×Dic11—41no—
313C2×Dic11—41no—
314C2×Dic11—41no—
315C2×Dic11—41no—
316C2×Dic11—41no—
317C2×Dic11—41no—
318C2×Dic11—84no—
319C2×Dic11—84no—
320C11⋊C8—41no—
321C11⋊C8—41no—
322C11⋊C8—41no—
323C11⋊C8—41no—
324C23×C8—111no—
325C2×#121—21no—
326C2×#121C2×D1111yescharacteristic
327C2×#121C2×D1111yescharacteristic
328C2×C4×D4—221no—
329C2×C4×D4C2×D1111yescharacteristic
330C22×C4⋊C4—111no—
331C22×C4⋊C4—111no—
332C22×C4⋊C4C2×D1111yescharacteristic
333C2×#107—111no—
334C2×#107—111no—
335C2×#102—111no—
336C2×#102—111no—
337C2×#102—111no—
338C2×#102—111no—
339C2×C22⋊C8—111no—
340C2×C22⋊C8—111no—
341C2×C22⋊C8—111no—
342#396—21no—
343#394—21no—
344#390C2×D1111yescharacteristic
345#389—221no—
346#389C2×D1111yescharacteristic
347#386—21no—
348#385—221no—
349#385—221no—
350#384—111no—
351#380—111no—
352#380—111no—
353#380C2×D1111yescharacteristic
354C4×C4⋊C4—111no—
355#340—111no—
356#340—111no—
357#340—111no—
358#340—111no—
359#340—111no—
360#340—111no—
361#340—111no—
362#340—111no—
363#340—111no—
364#340—111no—
365#336—111no—
366#336—111no—
367C22×C11—22no—
368C22×C11—22no—
369C22×C11—22no—
370C22×C11—22no—
371C22×C11—22no—
372C22×C11—22no—
373C22×C11—22no—
374C22×C11—22no—
375C22×C11—22no—
376C22×C11—41no—
377C22×C11—41no—
378C22×C11—41no—
379C22×C11—41no—
380C22×C11—81no—
381C22×C11—81no—
382C22×C11—81no—
383C22×C11—81no—
384C22×C11—81no—
385C22×C11—81no—
386C22×C11—81no—
387C22×C11#48014yes—
388C22×C11C2×#12311yescharacteristic
389C22×C11#54611yescharacteristic
390C22×C11#54611yescharacteristic
391C22×C11C22×D811yescharacteristic
392C22×C11C2×#13711yescharacteristic
393C22×C11#57711yescharacteristic
394C22×C11#57711yescharacteristic
395C4×C11—22no—
396C4×C11—22no—
397C4×C11—41no—
398C4×C11—41no—
399C4×C11—42no—
400C4×C11—81no—
401C4×C11—81no—
402C4×C11#52911yescharacteristic
403C4×C11#53811yescharacteristic
404C4×C11#55311yescharacteristic
405C4×C11#55311yescharacteristic
406Dic11—42no—
407Dic11—81no—
408Dic11—81no—
409Dic11—81no—
410C22×D4—21no—
411C22×D4—21no—
412C22×D4C22⋊D1111yescharacteristic
413C22×D4C22×D1111yescharacteristic
414C23×C4—21no—
415C23×C4—221no—
416C23×C4—221no—
417C23×C4C22×D1111yescharacteristic
418C23×C4C22×D1111yescharacteristic
419C22×C8—111no—
420C22×C8—111no—
421C22×C8—111no—
422C22×C8—111no—
423C22×C8—222no—
424C22×C8—441no—
425C22×C8—441no—
426#121—22no—
427#121—22no—
428#121—22no—
429#121—41no—
430#121—44no—
431C4×D4—22no—
432C4×D4—22no—
433C4×D4—444no—
434C2×C4⋊C4—22no—
435C2×C4⋊C4—21no—
436C2×C4⋊C4—21no—
437C2×C4⋊C4—41no—
438C2×C4⋊C4—111no—
439C2×C4⋊C4—111no—
440C2×C4⋊C4—111no—
441C2×C4⋊C4—111no—
442C2×C4⋊C4—222no—
443C2×C4⋊C4—222no—
444C2×C4⋊C4—221no—
445C2×C4⋊C4—221no—
446C2×C4⋊C4—221no—
447C2×C4⋊C4—221no—
448C2×C4⋊C4—441no—
449C2×C4⋊C4—441no—
450C2×C4⋊C4C22⋊D1111yescharacteristic
451C2×C4⋊C4C22×D1111yescharacteristic
452C2×C4⋊C4C22×D1111yescharacteristic
453C2×C4⋊C4C22×D1111yescharacteristic
454C2×C22⋊C4—21no—
455C2×C22⋊C4—21no—
456C2×C22⋊C4—21no—
457C2×C22⋊C4—21no—
458C2×C22⋊C4—21no—
459C2×C22⋊C4—221no—
460C2×C22⋊C4—221no—
461C2×C22⋊C4C22⋊D1111yescharacteristic
462C2×C22⋊C4C22⋊D1111yescharacteristic
463C2×C42—221no—
464C2×C42C22×D1111yescharacteristic
465#107—222no—
466#107—441no—
467#102—222no—
468#102—441no—
469#102—441no—
470#102—441no—
471C22⋊C8—222no—
472C22⋊C8—441no—
473C22⋊C8—441no—
474#95—21no—
475#95—21no—
476#95—221no—
477#95—221no—
478#95—221no—
479C2×C11—24no—
480C2×C11—42no—
481C2×C11—161no—
482C2×C11#244411yescharacteristic
483C2×C11C2×#48011yescharacteristic
484C2×C11#309911yescharacteristic
485C2×C11#329411yescharacteristic
486C2×C11#329411yescharacteristic
487C2×C11#331611yescharacteristic
488C2×C11#332011yescharacteristic
489C24—21no—
490C24C2×C22⋊D1111yescharacteristic
491C24C2×C22⋊D1111yescharacteristic
492C2×D4—22no—
493C2×D4—22no—
494C2×D4—21no—
495C2×D4—21no—
496C2×D4—21no—
497C2×D4—21no—
498C2×D4—21no—
499C2×D4—21no—
500C2×D4—42no—
501C2×D4—42no—
502C2×D4—42no—
503C2×D4—42no—
504C2×D4—42no—
505C2×D4—81no—
506C2×D4#432314yes—
507C22×C4—21no—
508C22×C4—21no—
509C22×C4—21no—
510C22×C4—21no—
511C22×C4—21no—
512C22×C4—21no—
513C22×C4—21no—
514C22×C4—21no—
515C22×C4—21no—
516C22×C4—21no—
517C22×C4—21no—
518C22×C4—21no—
519C22×C4—21no—
520C22×C4—42no—
521C22×C4—42no—
522C22×C4—81no—
523C22×C4—221no—
524C22×C4—221no—
525C22×C4—221no—
526C22×C4—221no—
527C22×C4—442no—
528C22×C4—442no—
529C22×C4—442no—
530C22×C4—442no—
531C22×C4—881no—
532C22×C4—881no—
533C22×C4#434112yes—
534C22×C4#434112yes—
535C22×C4C2×C22⋊D1111yescharacteristic
536C22×C4C2×C22⋊D1111yescharacteristic
537C22×C4C2×C22⋊D1111yescharacteristic
538C22×C4C2×C22⋊D1111yescharacteristic
539C22×C4C23×D1111yescharacteristic
540C2×C8—221no—
541C2×C8—221no—
542C2×C8—221no—
543C2×C8—221no—
544C2×C8—221no—
545C2×C8—221no—
546C2×C8—221no—
547C2×C8—221no—
548C2×C8—221no—
549C2×C8—221no—
550C2×C8—221no—
551C2×C8—221no—
552C2×C8—444no—
553C4⋊C4—22no—
554C4⋊C4—21no—
555C4⋊C4—21no—
556C4⋊C4—21no—
557C4⋊C4—21no—
558C4⋊C4—21no—
559C4⋊C4—42no—
560C4⋊C4—42no—
561C4⋊C4—112no—
562C4⋊C4—221no—
563C4⋊C4—221no—
564C4⋊C4—221no—
565C4⋊C4—221no—
566C4⋊C4—221no—
567C4⋊C4—221no—
568C4⋊C4—221no—
569C4⋊C4—442no—
570C4⋊C4—442no—
571C4⋊C4—442no—
572C4⋊C4—881no—
573C4⋊C4#434112yes—
574C22⋊C4—22no—
575C22⋊C4—22no—
576C22⋊C4—42no—
577C22⋊C4—42no—
578C22⋊C4—42no—
579C22⋊C4—42no—
580C22⋊C4—81no—
581C22⋊C4—442no—
582C22⋊C4—442no—
583C42—21no—
584C42—21no—
585C42—442no—
586C11#2619811yescharacteristic, complemented, Sylow
587C23—21no—
588C23—21no—
589C23—21no—
590C23—21no—
591C23—21no—
592C23—21no—
593C23—21no—
594C23—21no—
595C23—21no—
596C23—21no—
597C23—41no—
598C23—41no—
599C23—41no—
600C23—41no—
601C23—41no—
602C23—41no—
603C23—41no—
604C23C2×#432312yes—
605C23C2×#432312yes—
606C23#6698812yes—
607C23#6700412yes—
608C23C22×C22⋊D1111yescharacteristic
609D4—28no—
610D4—41no—
611D4—41no—
612D4—41no—
613D4—41no—
614D4—84no—
615D4—84no—
616C2×C4—21no—
617C2×C4—21no—
618C2×C4—21no—
619C2×C4—21no—
620C2×C4—22no—
621C2×C4—22no—
622C2×C4—22no—
623C2×C4—22no—
624C2×C4—21no—
625C2×C4—21no—
626C2×C4—21no—
627C2×C4—22no—
628C2×C4—21no—
629C2×C4—21no—
630C2×C4—21no—
631C2×C4—41no—
632C2×C4—41no—
633C2×C4—41no—
634C2×C4—41no—
635C2×C4—41no—
636C2×C4—41no—
637C2×C4—41no—
638C2×C4—41no—
639C2×C4—41no—
640C2×C4—41no—
641C2×C4—41no—
642C2×C4—41no—
643C2×C4—84no—
644C2×C4—222no—
645C2×C4—441no—
646C2×C4—441no—
647C2×C4—441no—
648C2×C4—441no—
649C2×C4—441no—
650C2×C4—441no—
651C2×C4—441no—
652C2×C4—441no—
653C2×C4—441no—
654C2×C4—441no—
655C2×C4—441no—
656C2×C4—884no—
657C2×C4—884no—
658C2×C4C2×#432312yes—
659C2×C4#6698812yes—
660C2×C4C2×#434111yescharacteristic
661C2×C4C2×#434111yescharacteristic
662C2×C4C2×#434111yescharacteristic
663C2×C4#6703711yescharacteristic
664C2×C4#41×D1111yescharacteristic
665C2×C4#6704211yescharacteristic
666C8—441no—
667C8—441no—
668C8—441no—
669C8—441no—
670C22—22no—
671C22—22no—
672C22—22no—
673C22—22no—
674C22—22no—
675C22—22no—
676C22—22no—
677C22—22no—
678C22—22no—
679C22—41no—
680C22—41no—
681C22—41no—
682C22—41no—
683C22—81no—
684C22—81no—
685C22—81no—
686C22—81no—
687C22—81no—
688C22—81no—
689C22—81no—
690C22#1062264614yes—
691C22C22×#432311yescharacteristic
692C22C2×#6698811yescharacteristic
693C22#1062333711yescharacteristic
694C22C2×#6700411yescharacteristic
695C22#1062336011yescharacteristic
696C22#1062336711yescharacteristic
697C22#1062336811yescharacteristic
698C4—22no—
699C4—22no—
700C4—41no—
701C4—42no—
702C4—41no—
703C4—81no—
704C4—81no—
705C4—442no—
706C4—881no—
707C4—881no—
708C4—881no—
709C4#1062313111yescharacteristic
710C4#1062313211yescharacteristic
711C4#1062314811yescharacteristic
712C4#1062314911yescharacteristic
713C2—24no—
714C2—42no—
715C2—161no—
716C2#1307236211yescharacteristic
717C2C2×#1062264611yescharacteristic
718C2#1307860111yescharacteristic
719C2#1308042311yescharacteristic
720C2#1308042911yescharacteristic
721C2#1308072711yescharacteristic
722C2#1308078111yescharacteristic
subgroupG/H
centerC23C22×C22⋊D11
commutator, cosocleC22×C4×C11C24
FrattiniC22×C4C23×D11
Fitting, prime radicalC11×#2416C2
socleC23×C11C22×D4
hypercenter#2416D11
hypocenterC11#26198
LCSG ▷ C22×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C23 ◁ C2×C4×D4 ◁ #2416

Complements

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

NH ≅ G/Ntype
1. D4×C4⋊Dic11C2semidirect
2. #13070174C2semidirect
3. #13070042C2semidirect
4. #13070019C2semidirect
5. #13069795C2semidirect
6. #13069233C2semidirect
7. #13069184C2semidirect
8. #13069045C2semidirect
9. #13068934C2semidirect
10. #13068934C2semidirect
11. #13068909C2semidirect
12. #13068804C2semidirect
13. #13068700C2semidirect
14. C2×#10622167C2semidirect
586. C11#26198semidirect

Maximal subgroups

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

subgroupindex
D4×C4⋊Dic112
#130701742
#130700422
#130700192
#130697952
#130692332
#130691842
#130690452
#130689342
#130689092
#130688042
#130687002
C2×#106221672
C11×#24162
#2619811