Finite Group Databasebeta

← C2×#19132834 #25018253

Subgroups — C2×#19132834 #25018253

Order 11008.

8190 conjugacy classes of subgroups.

The subgroup lattice has 780 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C24×C22⋊D43C211yesmaximal, characteristic
2C23×C22⋊Dic43C211yesmaximal, characteristic, complemented
3C23×(C2×D43)⋊C4C212yesmaximal, complemented
4C22×C43⋊#95C212yesmaximal, complemented
5#19132834C218yesmaximal, direct product factor
6C23×C22⋊C4×C43C211yesmaximal, characteristic, complemented
7C25×D43C2211yescharacteristic
8C23×C22⋊D43—28no—
9C23×C22⋊D43—28no—
10C23×C22⋊D43—24no—
11C23×C22⋊D43—24no—
12C23×C22⋊D43C418yescomplemented
13C23×C22⋊D43C2214yes—
14C24×Dic43C2212yes—
15C24×Dic43C2211yescharacteristic
16C22×C22⋊Dic43—28no—
17C22×C22⋊Dic43—24no—
18C22×C22⋊Dic43C2214yescomplemented
19C22×(C2×D43)⋊C4—28no—
20C22×(C2×D43)⋊C4—28no—
21C22×(C2×D43)⋊C4—28no—
22C22×(C2×D43)⋊C4C2218yescomplemented
23C2×C43⋊#95—28no—
24C2×C43⋊#95C2218yescomplemented
25C26×C43C2211yescharacteristic
26C24×C4×C43C2212yes—
27C22×C22⋊C4×C43—24no—
28C22×C22⋊C4×C43—28no—
29C22×C22⋊C4×C43C2214yescomplemented
30C24×D43—24no—
31C24×D43—24no—
32C24×D43—22no—
33C24×D43—24no—
34C24×D43—22no—
35C24×D43—24no—
36C24×D43—24no—
37C24×D43C2×C414yes—
38C24×D43D418yes—
39C24×D43C2312yes—
40C22×C22⋊D43—264no—
41C22×C22⋊D43—264no—
42C22×C22⋊D43—232no—
43C22×C22⋊D43—28no—
44C22×C22⋊D43—28no—
45C22×C22⋊D43—232no—
46C22×C22⋊D43—216no—
47C22×C22⋊D43—232no—
48C22×C22⋊D43—216no—
49C22×C22⋊D43C2×C4116yescomplemented
50C23×Dic43—22no—
51C23×Dic43—24no—
52C23×Dic43—22no—
53C23×Dic43—24no—
54C23×Dic43—24no—
55C23×Dic43—24no—
56C23×Dic43—24no—
57C23×Dic43—24no—
58C23×Dic43—24no—
59C23×Dic43C2×C414yes—
60C23×Dic43D418yes—
61C23×Dic43D418yescomplemented
62C23×Dic43C2314yes—
63C23×Dic43C2312yes—
64C2×C22⋊Dic43—232no—
65C2×C22⋊Dic43—28no—
66C2×C22⋊Dic43—216no—
67C2×(C2×D43)⋊C4—264no—
68C2×(C2×D43)⋊C4—216no—
69C2×(C2×D43)⋊C4—216no—
70C2×(C2×D43)⋊C4—216no—
71C43⋊#95—216no—
72C25×C43—24no—
73C25×C43—24no—
74C25×C43—24no—
75C25×C43—24no—
76C25×C43—24no—
77C25×C43—24no—
78C25×C43C2×C414yes—
79C25×C43D414yes—
80C25×C43D414yes—
81C25×C43C2312yes—
82C25×C43C2311yescharacteristic
83C23×C4×C43—24no—
84C23×C4×C43—24no—
85C23×C4×C43—24no—
86C23×C4×C43—24no—
87C23×C4×C43—24no—
88C23×C4×C43—24no—
89C23×C4×C43D418yescomplemented
90C23×C4×C43C2314yes—
91C2×C22⋊C4×C43—232no—
92C2×C22⋊C4×C43—28no—
93C2×C22⋊C4×C43—216no—
94C24×C43—28no—
95C24×C43—28no—
96C24×C43—216no—
97C24×C43—216no—
98C24×C43—28no—
99C24×C43—28no—
100C24×C43—216no—
101C24×C43—216no—
102C24×C43—216no—
103C24×C43—216no—
104C24×C43—28no—
105C24×C43—28no—
106C24×C43—24no—
107C24×C43—24no—
108C24×C43—24no—
109C24×C43—24no—
110C24×C43—24no—
111C24×C43—24no—
112C24×C43—48no—
113C24×C43—48no—
114C24×C43—48no—
115C24×C43—48no—
116C24×C43—48no—
117C24×C43—48no—
118C24×C43—48no—
119C24×C43—48no—
120C24×C43C22⋊C4116yescomplemented
121C24×C43C22×C414yes—
122C24×C43C22×C412yes—
123C24×C43C2×D414yes—
124C24×C43C2×D414yes—
125C24×C43C2×D412yes—
126C24×C43C2×D414yes—
127C24×C43C2×D412yes—
128C24×C43C2×D414yes—
129C24×C43C2×D414yes—
130C24×C43C2×D414yes—
131C24×C43#4114yes—
132C24×C43#4114yes—
133C24×C43C2411yescharacteristic
134C23×D43—28no—
135C23×D43—28no—
136C23×D43—216no—
137C23×D43—216no—
138C23×D43—216no—
139C23×D43—216no—
140C23×D43—216no—
141C23×D43—216no—
142C23×D43—216no—
143C23×D43—216no—
144C23×D43—24no—
145C23×D43—24no—
146C23×D43—22no—
147C23×D43—22no—
148C23×D43—24no—
149C23×D43—24no—
150C23×D43—24no—
151C23×D43—44no—
152C23×D43—44no—
153C23×D43—48no—
154C23×D43—48no—
155C23×D43—48no—
156C23×D43—48no—
157C23×D43—44no—
158C23×D43—44no—
159C23×D43—48no—
160C23×D43—48no—
161C23×D43C22⋊C4116yescomplemented
162C23×D43C22×C414yes—
163C23×D43C2×D418yes—
164C22×C4×C43—216no—
165C22×C4×C43—216no—
166C22×C4×C43—216no—
167C22×C4×C43—24no—
168C22×C4×C43—24no—
169C22×C4×C43—24no—
170C22×C4×C43—24no—
171C22×C4×C43—24no—
172C22×C4×C43—24no—
173C22×C4×C43—48no—
174C22×C4×C43—48no—
175C22×C4×C43—48no—
176C22×C4×C43—48no—
177C22×C4×C43C2×D418yescomplemented
178C2×C22⋊D43—264no—
179C2×C22⋊D43—264no—
180C2×C22⋊D43—2256no—
181C2×C22⋊D43—232no—
182C2×C22⋊D43—232no—
183C2×C22⋊D43—232no—
184C22×Dic43—28no—
185C22×Dic43—28no—
186C22×Dic43—216no—
187C22×Dic43—216no—
188C22×Dic43—216no—
189C22×Dic43—216no—
190C22×Dic43—216no—
191C22×Dic43—24no—
192C22×Dic43—22no—
193C22×Dic43—22no—
194C22×Dic43—24no—
195C22×Dic43—24no—
196C22×Dic43—24no—
197C22×Dic43—24no—
198C22×Dic43—24no—
199C22×Dic43—24no—
200C22×Dic43—48no—
201C22×Dic43—48no—
202C22×Dic43—48no—
203C22×Dic43—48no—
204C22×Dic43C22⋊C4116yescomplemented
205C22×Dic43C22×C414yes—
206C22×Dic43C2×D418yes—
207C22×Dic43C2×D418yescomplemented
208C22⋊C4×C43—232no—
209C22⋊Dic43—232no—
210(C2×D43)⋊C4—264no—
211C23×C43—24no—
212C23×C43—24no—
213C23×C43—28no—
214C23×C43—28no—
215C23×C43—24no—
216C23×C43—24no—
217C23×C43—28no—
218C23×C43—28no—
219C23×C43—28no—
220C23×C43—28no—
221C23×C43—24no—
222C23×C43—24no—
223C23×C43—232no—
224C23×C43—232no—
225C23×C43—232no—
226C23×C43—44no—
227C23×C43—44no—
228C23×C43—44no—
229C23×C43—44no—
230C23×C43—44no—
231C23×C43—44no—
232C23×C43—44no—
233C23×C43—44no—
234C23×C43—432no—
235C23×C43—432no—
236C23×C43—432no—
237C23×C43—432no—
238C23×C43—432no—
239C23×C43—432no—
240C23×C43C2×C22⋊C414yes—
241C23×C43C2×C22⋊C414yes—
242C23×C43C2×C22⋊C414yes—
243C23×C43C2×C22⋊C418yescomplemented
244C23×C43C4×D418yes—
245C23×C43C4×D418yes—
246C23×C43#12018yes—
247C23×C43#12018yes—
248C23×C43#12014yes—
249C23×C43#12018yes—
250C23×C43#12014yes—
251C23×C43#12118yes—
252C23×C43#12118yes—
253C23×C43#12118yes—
254C23×C43#12118yes—
255C23×C43#12118yes—
256C23×C43#12118yes—
257C23×C43#12318yes—
258C23×C43#12314yes—
259C23×C43#12314yes—
260C23×C43#12418yes—
261C23×C43#12718yes—
262C23×C43C23×C411yescharacteristic
263C23×C43C22×D412yes—
264C23×C43C22×D412yes—
265C23×C43C22×D412yes—
266C23×C43C22×D411yescharacteristic
267C23×C43C22×D412yes—
268C23×C43C22×D411yescharacteristic
269C23×C43C2×#4112yes—
270C23×C43C2×#4112yes—
271C22×D43—24no—
272C22×D43—24no—
273C22×D43—28no—
274C22×D43—28no—
275C22×D43—28no—
276C22×D43—28no—
277C22×D43—28no—
278C22×D43—28no—
279C22×D43—28no—
280C22×D43—28no—
281C22×D43—232no—
282C22×D43—264no—
283C22×D43—42no—
284C22×D43—42no—
285C22×D43—44no—
286C22×D43—44no—
287C22×D43—44no—
288C22×D43—44no—
289C22×D43—42no—
290C22×D43—42no—
291C22×D43—44no—
292C22×D43—44no—
293C22×D43—416no—
294C22×D43—416no—
295C22×D43—432no—
296C22×D43—432no—
297C22×D43—432no—
298C22×D43—432no—
299C22×D43—432no—
300C22×D43C2×C22⋊C418yescomplemented
301C2×C4×C43—28no—
302C2×C4×C43—28no—
303C2×C4×C43—28no—
304C2×C4×C43—44no—
305C2×C4×C43—44no—
306C2×C4×C43—44no—
307C2×C4×C43—44no—
308C2×C4×C43—432no—
309C22⋊D43—2128no—
310C2×Dic43—24no—
311C2×Dic43—24no—
312C2×Dic43—28no—
313C2×Dic43—28no—
314C2×Dic43—232no—
315C2×Dic43—28no—
316C2×Dic43—28no—
317C2×Dic43—28no—
318C2×Dic43—44no—
319C2×Dic43—44no—
320C2×Dic43—44no—
321C2×Dic43—44no—
322C2×Dic43—432no—
323C2×Dic43C2×C22⋊C418yescomplemented
324C2×#1438—431nomaximal, Sylow
325C22×C43—28no—
326C22×C43—28no—
327C22×C43—28no—
328C22×C43—48no—
329C22×C43—48no—
330C22×C43—48no—
331C22×C43—48no—
332C22×C43—464no—
333C22×C43—48no—
334C22×C43—48no—
335C22×C43#37918yes—
336C22×C43#386116yes—
337C22×C43#38618yes—
338C22×C43#38618yes—
339C22×C43#390116yes—
340C22×C43#392116yes—
341C22×C43#392116yes—
342C22×C43#394116yes—
343C22×C43#394116yes—
344C22×C43C22×C22⋊C411yescharacteristic
345C22×C43C22×C22⋊C411yescharacteristic
346C22×C43C22×C22⋊C411yescharacteristic
347C22×C43C2×C4×D412yes—
348C22×C43C2×C4×D412yes—
349C22×C43C2×#12012yes—
350C22×C43C2×#12012yes—
351C22×C43C2×#12011yescharacteristic
352C22×C43C2×#12011yescharacteristic
353C22×C43C2×#12012yes—
354C22×C43C2×#12112yes—
355C22×C43C2×#12112yes—
356C22×C43C2×#12112yes—
357C22×C43C2×#12112yes—
358C22×C43C2×#12112yes—
359C22×C43C2×#12112yes—
360C22×C43C2×#12312yes—
361C22×C43C2×#12311yescharacteristic
362C22×C43C2×#12311yescharacteristic
363C22×C43C2×#12412yes—
364C22×C43C2×#12712yes—
365C2×D43—28no—
366C2×D43—216no—
367C2×D43—48no—
368C2×D43—48no—
369C2×D43—48no—
370C2×D43—48no—
371C2×D43—464no—
372C2×D43—44no—
373C2×D43—44no—
374C2×D43—48no—
375C4×C43—48no—
376Dic43—28no—
377Dic43—48no—
378C24×D4—431no—
379C23×C22⋊C4—431no—
380C23×C22⋊C4—432no—
381C23×C22⋊C4D4311yescharacteristic, complemented
382C22×#95—432no—
383#1438—438no—
384C2×C43—48no—
385C2×C43#1438116yescomplemented
386C2×C43C2×#37911yescharacteristic
387C2×C43C2×#38612yes—
388C2×C43C2×#38611yescharacteristic
389C2×C43C2×#38611yescharacteristic
390C2×C43C2×#39012yes—
391C2×C43C2×#39212yes—
392C2×C43C2×#39212yes—
393C2×C43C2×#39412yes—
394C2×C43C2×#39412yes—
395D43—48no—
396C26—431no—
397C26C2×D4311yescharacteristic
398C23×D4—434no—
399C23×D4—438no—
400C23×D4—868no—
401C23×D4—868no—
402C23×D4—864no—
403C23×D4—864no—
404C24×C4—431no—
405C24×C4—432no—
406C24×C4C2×D4312yes—
407C22×C22⋊C4—24no—
408C22×C22⋊C4—28no—
409C22×C22⋊C4—434no—
410C22×C22⋊C4—438no—
411C22×C22⋊C4—868no—
412C22×C22⋊C4—868no—
413C22×C22⋊C4—868no—
414C22×C22⋊C4—864no—
415C22×C22⋊C4—868no—
416C22×C22⋊C4C2×D4314yescomplemented
417C2×#95—438no—
418C2×#95—868no—
419C43C2×#143811yescharacteristic, complemented, Sylow
420C25—24no—
421C25—24no—
422C25—24no—
423C25—24no—
424C25—24no—
425C25—24no—
426C25—434no—
427C25—438no—
428C25—432no—
429C25—862no—
430C25—864no—
431C25—864no—
432C25—864no—
433C25—864no—
434C25—864no—
435C25—862no—
436C25C4×D4314yes—
437C25D17214yes—
438C25C22⋊D4314yes—
439C25C22×D4312yes—
440C25C22×D4311yescharacteristic
441C22×D4—4316no—
442C22×D4—8632no—
443C22×D4—8616no—
444C22×D4—8632no—
445C22×D4—8616no—
446C22×D4—8664no—
447C22×D4—8664no—
448C22×D4—8632no—
449C22×D4—868no—
450C22×D4—868no—
451C23×C4—24no—
452C23×C4—24no—
453C23×C4—24no—
454C23×C4—24no—
455C23×C4—24no—
456C23×C4—24no—
457C23×C4—434no—
458C23×C4—438no—
459C23×C4—432no—
460C23×C4—438no—
461C23×C4—434no—
462C23×C4—862no—
463C23×C4—864no—
464C23×C4—862no—
465C23×C4—864no—
466C23×C4—864no—
467C23×C4—864no—
468C23×C4—864no—
469C23×C4—864no—
470C23×C4—864no—
471C23×C4C22⋊D4318yescomplemented
472C23×C4C22×D4314yes—
473C2×C22⋊C4—232no—
474C2×C22⋊C4—28no—
475C2×C22⋊C4—216no—
476C2×C22⋊C4—8616no—
477C2×C22⋊C4—8616no—
478C2×C22⋊C4—8664no—
479C2×C22⋊C4—8616no—
480C2×C22⋊C4—8632no—
481C2×C22⋊C4—868no—
482C2×C22⋊C4—8616no—
483#95—8616no—
484C24—28no—
485C24—28no—
486C24—216no—
487C24—216no—
488C24—216no—
489C24—28no—
490C24—28no—
491C24—216no—
492C24—216no—
493C24—216no—
494C24—28no—
495C24—28no—
496C24—24no—
497C24—24no—
498C24—24no—
499C24—24no—
500C24—24no—
501C24—24no—
502C24—48no—
503C24—48no—
504C24—48no—
505C24—48no—
506C24—48no—
507C24—48no—
508C24—48no—
509C24—48no—
510C24—4316no—
511C24—434no—
512C24—438no—
513C24—868no—
514C24—868no—
515C24—8616no—
516C24—8616no—
517C24—8616no—
518C24—8616no—
519C24—8616no—
520C24—8616no—
521C24—8616no—
522C24—8616no—
523C24—864no—
524C24—864no—
525C24—864no—
526C24—862no—
527C24—862no—
528C24—864no—
529C24—864no—
530C24—1724no—
531C24—1724no—
532C24—1728no—
533C24—1728no—
534C24—1728no—
535C24—1728no—
536C24—1724no—
537C24—1724no—
538C24—1728no—
539C24—1728no—
540C24(C2×D43)⋊C4116yescomplemented
541C24C2×C4×D4314yes—
542C24C2×C4×D4312yes—
543C24C2×D17214yes—
544C24C2×D17212yes—
545C24#1062189814yes—
546C24D4×D4314yes—
547C24D4×D4314yes—
548C24D4×D4314yes—
549C24#1062190014yes—
550C24C2×C22⋊D4314yes—
551C24C2×C22⋊D4312yes—
552C24C2×C22⋊D4314yes—
553C24C23×D4311yescharacteristic
554C2×D4—8632no—
555C2×D4—8632no—
556C2×D4—8664no—
557C2×D4—8664no—
558C2×D4—86256no—
559C2×D4—8632no—
560C22×C4—216no—
561C22×C4—216no—
562C22×C4—216no—
563C22×C4—24no—
564C22×C4—24no—
565C22×C4—24no—
566C22×C4—24no—
567C22×C4—24no—
568C22×C4—24no—
569C22×C4—48no—
570C22×C4—48no—
571C22×C4—48no—
572C22×C4—48no—
573C22×C4—4316no—
574C22×C4—434no—
575C22×C4—438no—
576C22×C4—438no—
577C22×C4—868no—
578C22×C4—868no—
579C22×C4—8616no—
580C22×C4—8616no—
581C22×C4—864no—
582C22×C4—862no—
583C22×C4—862no—
584C22×C4—8616no—
585C22×C4—8616no—
586C22×C4—8616no—
587C22×C4—864no—
588C22×C4—864no—
589C22×C4—864no—
590C22×C4—864no—
591C22×C4—864no—
592C22×C4—864no—
593C22×C4—1728no—
594C22×C4—1728no—
595C22×C4—1728no—
596C22×C4—1728no—
597C22×C4C2×C22⋊D4318yescomplemented
598C22⋊C4—232no—
599C22⋊C4—8664no—
600C22⋊C4—8632no—
601C23—24no—
602C23—24no—
603C23—28no—
604C23—28no—
605C23—28no—
606C23—24no—
607C23—24no—
608C23—28no—
609C23—28no—
610C23—28no—
611C23—24no—
612C23—24no—
613C23—232no—
614C23—232no—
615C23—232no—
616C23—432no—
617C23—432no—
618C23—432no—
619C23—432no—
620C23—432no—
621C23—44no—
622C23—44no—
623C23—44no—
624C23—44no—
625C23—44no—
626C23—44no—
627C23—44no—
628C23—44no—
629C23—432no—
630C23—438no—
631C23—864no—
632C23—864no—
633C23—868no—
634C23—868no—
635C23—868no—
636C23—868no—
637C23—868no—
638C23—868no—
639C23—868no—
640C23—868no—
641C23—8632no—
642C23—8664no—
643C23—17232no—
644C23—17232no—
645C23—17232no—
646C23—17232no—
647C23—17232no—
648C23—1722no—
649C23—1722no—
650C23—1724no—
651C23—1724no—
652C23—1724no—
653C23—1724no—
654C23—1722no—
655C23—1722no—
656C23—1724no—
657C23—1724no—
658C23—17216no—
659C23—17216no—
660C23C22⋊C4×D4314yes—
661C23C22⋊C4×D4314yes—
662C23C2×(C2×D43)⋊C414yes—
663C23C2×(C2×D43)⋊C418yescomplemented
664C23(C22⋊D43)⋊C418yes—
665C23C4×C22⋊D4318yes—
666C23#1306329318yes—
667C23#1306329318yes—
668C23#1306329414yes—
669C23#1306329514yes—
670C23#1306329518yes—
671C23#1306329618yes—
672C23#1306329718yes—
673C23#1306329718yes—
674C23#1306329818yes—
675C23#1306329818yes—
676C23#1306329918yes—
677C23#1306330718yes—
678C23#1306330814yes—
679C23#1306330914yes—
680C23#1306331118yes—
681C23#1306332118yes—
682C23C22×C4×D4311yescharacteristic
683C23C2×D4×D4312yes—
684C23C2×D4×D4312yes—
685C23C2×D4×D4312yes—
686C23C22×C22⋊D4311yescharacteristic
687C23C22×C22⋊D4312yes—
688C23C22×D17211yescharacteristic
689C23C2×#1062190012yes—
690C23C2×#1062189812yes—
691D4—86128no—
692C2×C4—28no—
693C2×C4—28no—
694C2×C4—28no—
695C2×C4—432no—
696C2×C4—44no—
697C2×C4—44no—
698C2×C4—44no—
699C2×C4—44no—
700C2×C4—438no—
701C2×C4—864no—
702C2×C4—864no—
703C2×C4—868no—
704C2×C4—868no—
705C2×C4—8632no—
706C2×C4—868no—
707C2×C4—868no—
708C2×C4—868no—
709C2×C4—17232no—
710C2×C4—1724no—
711C2×C4—1724no—
712C2×C4—1724no—
713C2×C4—1724no—
714C22—28no—
715C22—28no—
716C22—28no—
717C22—48no—
718C22—48no—
719C22—48no—
720C22—464no—
721C22—48no—
722C22—48no—
723C22—48no—
724C22—868no—
725C22—8616no—
726C22—1728no—
727C22—1728no—
728C22—1728no—
729C22—17264no—
730C22—1724no—
731C22—1724no—
732C22—1728no—
733C22—1728no—
734C22#1458275418yes—
735C22#14582775116yes—
736C22#1458277618yes—
737C22#1458277818yes—
738C22#14582799116yes—
739C22#14582807116yes—
740C22#14582808116yes—
741C22#14582814116yes—
742C22#14582815116yes—
743C22C2×C22⋊C4×D4311yescharacteristic
744C22C2×C22⋊C4×D4311yescharacteristic
745C22C22×(C2×D43)⋊C411yescharacteristic
746C22C2×(C22⋊D43)⋊C412yes—
747C22C2×C4×C22⋊D4312yes—
748C22C2×#1306329312yes—
749C22C2×#1306329312yes—
750C22C2×#1306329411yescharacteristic
751C22C2×#1306329512yes—
752C22C2×#1306329511yescharacteristic
753C22C2×#1306329612yes—
754C22C2×#1306329712yes—
755C22C2×#1306329712yes—
756C22C2×#1306329812yes—
757C22C2×#1306329812yes—
758C22C2×#1306329912yes—
759C22C2×#1306330712yes—
760C22C2×#1306330811yescharacteristic
761C22C2×#1306330911yescharacteristic
762C22C2×#1306331112yes—
763C22C2×#1306332112yes—
764C4—48no—
765C4—868no—
766C4—1728no—
767C2—48no—
768C2—1728no—
769C2#19132834116yesdirect product factor
770C2C2×#1458275411yescharacteristic
771C2C2×#1458277512yes—
772C2C2×#1458277611yescharacteristic
773C2C2×#1458277811yescharacteristic
774C2C2×#1458279912yes—
775C2C2×#1458280712yes—
776C2C2×#1458280812yes—
777C2C2×#1458281412yes—
778C2C2×#1458281512yes—
subgroupG/H
centerC25C22×D43
commutatorC23×C43C23×C4
FrattiniC24C23×D43
FittingC23×C22⋊C4×C43C2
socleC25×C43C23
prime radicalC24×C22⋊D43C2
cosocleC24×C43C24
hypercenterC23×C22⋊C4D43
hypocenterC43C2×#1438
LCSG ▷ C23×C43 ▷ C43
UCSC1 ◁ C25 ◁ C23×C22⋊C4

Complements

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

NH ≅ G/Ntype
2. C23×C22⋊Dic43C2semidirect
3. C23×(C2×D43)⋊C4C2semidirect
4. C22×C43⋊#95C2semidirect
5. #19132834C2direct (N × H)
6. C23×C22⋊C4×C43C2semidirect
12. C23×C22⋊D43C4semidirect
18. C22×C22⋊Dic43C22semidirect
22. C22×(C2×D43)⋊C4C22semidirect
24. C2×C43⋊#95C22semidirect
29. C22×C22⋊C4×C43C22semidirect
49. C22×C22⋊D43C2×C4semidirect
61. C23×Dic43D4semidirect
89. C23×C4×C43D4semidirect
120. C24×C43C22⋊C4semidirect
161. C23×D43C22⋊C4semidirect
177. C22×C4×C43C2×D4semidirect
204. C22×Dic43C22⋊C4semidirect
207. C22×Dic43C2×D4semidirect
243. C23×C43C2×C22⋊C4semidirect
300. C22×D43C2×C22⋊C4semidirect
323. C2×Dic43C2×C22⋊C4semidirect
381. C23×C22⋊C4D43semidirect
385. C2×C43#1438semidirect
416. C22×C22⋊C4C2×D43semidirect
419. C43C2×#1438semidirect
471. C23×C4C22⋊D43semidirect
540. C24(C2×D43)⋊C4semidirect
597. C22×C4C2×C22⋊D43semidirect
663. C23C2×(C2×D43)⋊C4semidirect
769. C2#19132834direct (N × H)

Maximal subgroups

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

subgroupindex
C24×C22⋊D432
C23×C22⋊Dic432
C23×(C2×D43)⋊C42
C22×C43⋊#952
#191328342
C23×C22⋊C4×C432
C2×#143843