Finite Group Databasebeta

← #25033337

Subgroups — #25033337

Order 11008.

1778 conjugacy classes of subgroups.

The subgroup lattice has 750 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#14582825C211yesmaximal, characteristic, complemented
2C2×#14582799C211yesmaximal, characteristic
3C2×#14582799C212yesmaximal
4C2×C4⋊C4×Dic43C211yesmaximal, characteristic, complemented
5#19132843C212yesmaximal, complemented
6#19132842C212yesmaximal, complemented
7#19132841C211yesmaximal, characteristic, complemented
8#19132840C211yesmaximal, characteristic, complemented
9Dic43⋊#95C212yesmaximal, complemented
10Dic43⋊#95C211yesmaximal, characteristic, complemented
11C2×C43×#397C211yesmaximal, characteristic, complemented
12C23×C22⋊D43C2211yescharacteristic
13C22×C4⋊Dic43C2211yescharacteristic
14C22×Dic43⋊C4C2211yescharacteristic
15C22×Dic43⋊C4C2212yes—
16C22×C22⋊Dic43C2212yes—
17C22×C22⋊Dic43C2211yescharacteristic
18C22×(C2×D43)⋊C4C2211yescharacteristic
19C22×(C2×D43)⋊C4C2212yes—
20C22×(C2×D43)⋊C4C2212yes—
21C22×(C2×D43)⋊C4C2211yescharacteristic
22C22×C4×Dic43C2212yes—
23C22×C4×Dic43C2211yescharacteristic
24#14582825—24no—
25#14582799—28no—
26#14582799—24no—
27C4⋊C4×Dic43—24no—
28C2×C43⋊#95C2211yescharacteristic
29C2×C43⋊#95C2212yes—
30C2×C43⋊#95C2212yes—
31C2×C43⋊#95C2212yes—
32C2×C43⋊#95C2212yes—
33C2×C43⋊#95C2212yes—
34C22×C4⋊C4×C43C2211yescharacteristic
35C22×C22⋊C4×C43C2211yescharacteristic
36C22×C22⋊C4×C43C2212yes—
37C43×#397—24no—
38C2×#95×C43C2211yescharacteristic
39C2×#95×C43C2212yes—
40C24×D43C2311yescharacteristic
41C22×C22⋊D43—22no—
42C22×C22⋊D43—22no—
43C22×C22⋊D43—24no—
44C22×C22⋊D43—24no—
45C22×C22⋊D43D414yes—
46C23×Dic43C2311yescharacteristic
47C23×Dic43C2312yes—
48C23×Dic43C2311yescharacteristic
49C23×Dic43C2312yes—
50C23×Dic43C2311yescharacteristic
51C2×C4⋊Dic43—22no—
52C2×C4⋊Dic43—24no—
53C2×Dic43⋊C4—24no—
54C2×Dic43⋊C4—22no—
55C2×Dic43⋊C4—24no—
56C2×Dic43⋊C4—24no—
57C2×Dic43⋊C4—24no—
58C2×C22⋊Dic43—24no—
59C2×C22⋊Dic43—22no—
60C2×C22⋊Dic43—24no—
61C2×C22⋊Dic43—42no—
62C2×C22⋊Dic43—42no—
63C2×(C2×D43)⋊C4—24no—
64C2×(C2×D43)⋊C4—24no—
65C2×(C2×D43)⋊C4—22no—
66C2×(C2×D43)⋊C4—24no—
67C2×(C2×D43)⋊C4—22no—
68C2×(C2×D43)⋊C4—22no—
69C2×(C2×D43)⋊C4—22no—
70C2×(C2×D43)⋊C4—24no—
71C2×(C2×D43)⋊C4—42no—
72C2×(C2×D43)⋊C4—42no—
73C2×(C2×D43)⋊C4—42no—
74C2×C4×Dic43—24no—
75C2×C4×Dic43—24no—
76C2×C4×Dic43—24no—
77C2×C4×Dic43—24no—
78C2×C4×Dic43D414yes—
79C43⋊#95—24no—
80C43⋊#95—22no—
81C43⋊#95—24no—
82C43⋊#95—42no—
83C43⋊#95—42no—
84C43⋊#95—42no—
85C25×C43C2311yescharacteristic
86C23×C4×C43C2311yescharacteristic
87C23×C4×C43C2312yes—
88C23×C4×C43C2312yes—
89C23×C4×C43C2311yescharacteristic
90C2×C4⋊C4×C43—22no—
91C2×C4⋊C4×C43—22no—
92C2×C4⋊C4×C43D414yescomplemented
93C2×C22⋊C4×C43—24no—
94C2×C22⋊C4×C43—22no—
95C2×C22⋊C4×C43—24no—
96C2×C22⋊C4×C43—22no—
97C2×C22⋊C4×C43—22no—
98C2×C22⋊C4×C43—42no—
99#95×C43—24no—
100#95×C43—22no—
101C24×C43—21no—
102C24×C43—21no—
103C24×C43—21no—
104C24×C43—22no—
105C24×C43—21no—
106C24×C43—22no—
107C24×C43—22no—
108C24×C43—21no—
109C24×C43—22no—
110C24×C43—21no—
111C24×C43C2×D412yes—
112C24×C43C2411yescharacteristic
113C23×D43—21no—
114C23×D43—21no—
115C23×D43—22no—
116C23×D43—21no—
117C23×D43—21no—
118C23×D43—22no—
119C23×D43—22no—
120C23×D43—21no—
121C23×D43—22no—
122C23×D43—21no—
123C23×D43C2×D412yes—
124C22×C4×C43—22no—
125C22×C4×C43—22no—
126C22×C4×C43—21no—
127C22×C4×C43—22no—
128C22×C4×C43—21no—
129C22×C4×C43—22no—
130C22×C4×C43—22no—
131C22×C4×C43—22no—
132C22×C4×C43—22no—
133C22×C4×C43—22no—
134C22×C4×C43—21no—
135C22×C4×C43—22no—
136C22×C4×C43—22no—
137C22×C4×C43—22no—
138C22×C4×C43—22no—
139C22×C4×C43—22no—
140C22×C4×C43—22no—
141C22×C4×C43—22no—
142C22×C4×C43—22no—
143C22×C4×C43—22no—
144C22×C4×C43C2×D412yes—
145C22×C4×C43C2×D414yes—
146C22×C4×C43C2×D412yes—
147C22×C4×C43#4112yes—
148C2×C22⋊D43—28no—
149C2×C22⋊D43—216no—
150C2×C22⋊D43—44no—
151C2×C22⋊D43—44no—
152C2×C22⋊D43—48no—
153C22×Dic43—22no—
154C22×Dic43—22no—
155C22×Dic43—21no—
156C22×Dic43—22no—
157C22×Dic43—21no—
158C22×Dic43—22no—
159C22×Dic43—22no—
160C22×Dic43—22no—
161C22×Dic43—22no—
162C22×Dic43—21no—
163C22×Dic43—22no—
164C22×Dic43—22no—
165C22×Dic43—22no—
166C22×Dic43—22no—
167C22×Dic43—21no—
168C22×Dic43—22no—
169C22×Dic43—22no—
170C22×Dic43—22no—
171C22×Dic43—22no—
172C22×Dic43—22no—
173C22×Dic43—22no—
174C22×Dic43—21no—
175C22×Dic43C2×D412yes—
176C22×Dic43C2×D412yes—
177C22×Dic43C2×D412yes—
178C22×Dic43#4114yes—
179C22×Dic43#4112yes—
180C22×Dic43#4114yes—
181C22×Dic43#4114yes—
182C4⋊C4×C43—28no—
183C22⋊C4×C43—48no—
184C22⋊C4×C43—44no—
185C22⋊Dic43—48no—
186C22⋊Dic43—44no—
187(C2×D43)⋊C4—48no—
188(C2×D43)⋊C4—48no—
189(C2×D43)⋊C4—44no—
190(C2×D43)⋊C4—44no—
191C4⋊Dic43—28no—
192Dic43⋊C4—48no—
193Dic43⋊C4—44no—
194C4×Dic43—28no—
195C4×Dic43—48no—
196C23×C43—22no—
197C23×C43—24no—
198C23×C43—22no—
199C23×C43—24no—
200C23×C43—22no—
201C23×C43—41no—
202C23×C43—41no—
203C23×C43—41no—
204C23×C43—41no—
205C23×C43—42no—
206C23×C43—42no—
207C23×C43—42no—
208C23×C43—41no—
209C23×C43—41no—
210C23×C43—42no—
211C23×C43—42no—
212C23×C43—41no—
213C23×C43—42no—
214C23×C43—42no—
215C23×C43—41no—
216C23×C43—42no—
217C23×C43—42no—
218C23×C43—42no—
219C23×C43C22×D411yescharacteristic
220C23×C43C22×D411yescharacteristic
221C23×C43C22×D411yescharacteristic
222C23×C43C2×#4111yescharacteristic
223C23×C43C2×#4112yes—
224C23×C43C2×#4112yes—
225C23×C43C2×#4112yes—
226C23×C43C2×#4111yescharacteristic
227C23×C43H(5,𝔽2)11yescharacteristic
228C23×C43H(5,𝔽2)12yes—
229C23×C432−1+411yescharacteristic
230C22×D43—22no—
231C22×D43—24no—
232C22×D43—22no—
233C22×D43—24no—
234C22×D43—22no—
235C22×D43—41no—
236C22×D43—41no—
237C22×D43—41no—
238C22×D43—41no—
239C22×D43—42no—
240C22×D43—42no—
241C22×D43—42no—
242C22×D43—41no—
243C22×D43—41no—
244C22×D43—42no—
245C22×D43—42no—
246C22×D43—41no—
247C22×D43—42no—
248C22×D43—42no—
249C22×D43—41no—
250C22×D43—42no—
251C22×D43—42no—
252C22×D43—42no—
253C2×C4×C43—22no—
254C2×C4×C43—22no—
255C2×C4×C43—24no—
256C2×C4×C43—24no—
257C2×C4×C43—24no—
258C2×C4×C43—24no—
259C2×C4×C43—24no—
260C2×C4×C43—42no—
261C2×C4×C43—42no—
262C2×C4×C43—42no—
263C2×C4×C43—42no—
264C2×C4×C43—41no—
265C2×C4×C43—42no—
266C2×C4×C43—41no—
267C2×C4×C43—42no—
268C2×C4×C43—41no—
269C2×C4×C43—42no—
270C2×C4×C43—42no—
271C2×C4×C43—42no—
272C2×C4×C43—42no—
273C2×C4×C43—42no—
274C2×C4×C43—42no—
275C2×C4×C43—42no—
276C2×C4×C43#12114yes—
277C22⋊D43—416no—
278C2×Dic43—22no—
279C2×Dic43—24no—
280C2×Dic43—22no—
281C2×Dic43—22no—
282C2×Dic43—24no—
283C2×Dic43—24no—
284C2×Dic43—42no—
285C2×Dic43—42no—
286C2×Dic43—42no—
287C2×Dic43—42no—
288C2×Dic43—42no—
289C2×Dic43—42no—
290C2×Dic43—41no—
291C2×Dic43—42no—
292C2×Dic43—41no—
293C2×Dic43—42no—
294C2×Dic43—41no—
295C2×Dic43—42no—
296C2×Dic43—42no—
297C2×Dic43—42no—
298C2×Dic43—42no—
299C2×Dic43—42no—
300C2×Dic43—42no—
301C2×Dic43—42no—
302C2×Dic43#12114yes—
303C2×Dic43#12314yes—
304C2×Dic43#12318yes—
305C2×Dic43#12414yes—
306C2×Dic43#12618yes—
307#15147—431nomaximal, Sylow
308C22×C43—42no—
309C22×C43—44no—
310C22×C43—44no—
311C22×C43—42no—
312C22×C43—42no—
313C22×C43—81no—
314C22×C43—81no—
315C22×C43—81no—
316C22×C43—82no—
317C22×C43—82no—
318C22×C43—81no—
319C22×C43C2×#12111yescharacteristic
320C22×C43C2×#12111yescharacteristic
321C22×C43C2×#12311yescharacteristic
322C22×C43C2×#12312yes—
323C22×C43#52511yescharacteristic
324C22×C43C2×#12411yescharacteristic
325C22×C43C2×#12612yes—
326C22×C43#52912yes—
327C22×C43#53212yes—
328C22×C43#53511yescharacteristic
329C22×C43#53711yescharacteristic
330C22×C43#54012yes—
331C22×C43#54212yes—
332C22×C43D4211yescharacteristic
333C22×C43#54612yes—
334C22×C43#54711yescharacteristic
335C22×C43#54711yescharacteristic
336C22×C43#55012yes—
337C22×C43#55312yes—
338C22×C43#55511yescharacteristic
339C22×C43#55612yes—
340C22×C43#55912yes—
341C22×C43#55912yes—
342C2×D43—42no—
343C2×D43—44no—
344C2×D43—44no—
345C2×D43—42no—
346C2×D43—42no—
347C2×D43—81no—
348C2×D43—81no—
349C2×D43—81no—
350C2×D43—82no—
351C2×D43—82no—
352C2×D43—81no—
353C4×C43—24no—
354C4×C43—44no—
355C4×C43—82no—
356C4×C43—81no—
357Dic43—42no—
358Dic43—44no—
359Dic43—82no—
360Dic43—81no—
361Dic43#39718yescomplemented
362C2×#397—431no—
363C2×#397D4311yescharacteristic, complemented
364C2×#390—431no—
365C2×#390—432no—
366C2×C4×C4⋊C4—431no—
367#1440—432no—
368#1440—432no—
369#1439—431no—
370#1439—431no—
371C4⋊#95—431no—
372C4⋊#95—432no—
373C2×C43—82no—
374C2×C43C2×#39711yescharacteristic
375C2×C43#244512yes—
376C2×C43#244712yes—
377C2×C43#251212yes—
378C2×C43#251312yes—
379C2×C43#253511yescharacteristic
380C2×C43#253711yescharacteristic
381C2×C43#254811yescharacteristic
382C2×C43#259211yescharacteristic
383C2×C43#262411yescharacteristic
384C2×C43#285411yescharacteristic
385D43—82no—
386C23×D4—431no—
387C22×C4⋊C4—432no—
388C22×C4⋊C4—431no—
389C22×C4⋊C4—431no—
390C22×C4⋊C4C2×D4311yescharacteristic
391C22×C22⋊C4—431no—
392C22×C22⋊C4—432no—
393C22×C22⋊C4—432no—
394C22×C22⋊C4—432no—
395C22×C22⋊C4—431no—
396C22×C22⋊C4—431no—
397C22×C22⋊C4C2×D4311yescharacteristic
398C22×C22⋊C4C2×D4312yes—
399C22×C42—431no—
400C22×C42—432no—
401#397—24no—
402#397—864no—
403#390—864no—
404#390—868no—
405C4×C4⋊C4—864no—
406C2×#95—431no—
407C2×#95—432no—
408C2×#95—432no—
409C2×#95—432no—
410C2×#95—432no—
411C2×#95—432no—
412C2×#95C2×D4311yescharacteristic
413C2×#95C2×D4312yes—
414C43#1514711yescharacteristic, complemented, Sylow
415C25—431no—
416C25C22×D4311yescharacteristic
417C22×D4—434no—
418C22×D4—862no—
419C22×D4—862no—
420C22×D4—864no—
421C22×D4—864no—
422C23×C4—431no—
423C23×C4—432no—
424C23×C4—431no—
425C23×C4—432no—
426C23×C4—431no—
427C23×C4C22×D4312yes—
428C23×C4C22×D4311yescharacteristic
429C23×C4C22×D4312yes—
430C23×C4C22×D4311yescharacteristic
431C2×C4⋊C4—22no—
432C2×C4⋊C4—22no—
433C2×C4⋊C4—864no—
434C2×C4⋊C4—862no—
435C2×C4⋊C4—864no—
436C2×C4⋊C4—864no—
437C2×C4⋊C4—864no—
438C2×C4⋊C4—862no—
439C2×C4⋊C4—864no—
440C2×C4⋊C4C22⋊D4314yescomplemented
441C2×C22⋊C4—24no—
442C2×C22⋊C4—22no—
443C2×C22⋊C4—22no—
444C2×C22⋊C4—24no—
445C2×C22⋊C4—22no—
446C2×C22⋊C4—42no—
447C2×C22⋊C4—864no—
448C2×C22⋊C4—862no—
449C2×C22⋊C4—864no—
450C2×C22⋊C4—864no—
451C2×C22⋊C4—864no—
452C2×C22⋊C4—862no—
453C2×C22⋊C4—864no—
454C2×C22⋊C4—862no—
455C2×C22⋊C4—862no—
456C2×C22⋊C4—864no—
457C2×C22⋊C4—862no—
458C2×C22⋊C4—1722no—
459C2×C22⋊C4—1722no—
460C2×C22⋊C4—1722no—
461C2×C22⋊C4—1722no—
462C2×C22⋊C4—1722no—
463C2×C42—434no—
464C2×C42—864no—
465C2×C42—864no—
466C2×C42—864no—
467C2×C42—864no—
468#95—24no—
469#95—22no—
470#95—864no—
471#95—864no—
472#95—862no—
473#95—1722no—
474#95—1722no—
475#95—1722no—
476C24—21no—
477C24—21no—
478C24—22no—
479C24—21no—
480C24—22no—
481C24—22no—
482C24—21no—
483C24—21no—
484C24—22no—
485C24—21no—
486C24—432no—
487C24—861no—
488C24—861no—
489C24—862no—
490C24—861no—
491C24—862no—
492C24—862no—
493C24—861no—
494C24—861no—
495C24—862no—
496C24—861no—
497C24D4×D4312yes—
498C24C23×D4311yescharacteristic
499C2×D4—868no—
500C2×D4—8616no—
501C2×D4—1724no—
502C2×D4—1724no—
503C2×D4—1728no—
504C22×C4—22no—
505C22×C4—22no—
506C22×C4—22no—
507C22×C4—22no—
508C22×C4—22no—
509C22×C4—22no—
510C22×C4—22no—
511C22×C4—22no—
512C22×C4—21no—
513C22×C4—22no—
514C22×C4—21no—
515C22×C4—22no—
516C22×C4—22no—
517C22×C4—22no—
518C22×C4—22no—
519C22×C4—22no—
520C22×C4—21no—
521C22×C4—22no—
522C22×C4—22no—
523C22×C4—22no—
524C22×C4—432no—
525C22×C4—432no—
526C22×C4—432no—
527C22×C4—434no—
528C22×C4—434no—
529C22×C4—432no—
530C22×C4—434no—
531C22×C4—862no—
532C22×C4—862no—
533C22×C4—862no—
534C22×C4—862no—
535C22×C4—862no—
536C22×C4—861no—
537C22×C4—862no—
538C22×C4—862no—
539C22×C4—862no—
540C22×C4—861no—
541C22×C4—861no—
542C22×C4—862no—
543C22×C4—861no—
544C22×C4—862no—
545C22×C4—862no—
546C22×C4—862no—
547C22×C4—862no—
548C22×C4—862no—
549C22×C4—861no—
550C22×C4—862no—
551C22×C4—862no—
552C22×C4—862no—
553C22×C4D4×D4312yes—
554C22×C4#1062190012yes—
555C22×C4C2×C22⋊D4314yes—
556C22×C4C2×C22⋊D4312yes—
557C4⋊C4—28no—
558C4⋊C4—868no—
559C4⋊C4—1728no—
560C4⋊C4—1724no—
561C22⋊C4—48no—
562C22⋊C4—44no—
563C22⋊C4—1728no—
564C22⋊C4—1728no—
565C22⋊C4—1724no—
566C22⋊C4—1728no—
567C22⋊C4—1724no—
568C22⋊C4—1724no—
569C42—868no—
570C42—1728no—
571C23—22no—
572C23—24no—
573C23—22no—
574C23—24no—
575C23—22no—
576C23—42no—
577C23—42no—
578C23—41no—
579C23—42no—
580C23—42no—
581C23—42no—
582C23—41no—
583C23—41no—
584C23—41no—
585C23—41no—
586C23—42no—
587C23—42no—
588C23—42no—
589C23—41no—
590C23—41no—
591C23—42no—
592C23—42no—
593C23—41no—
594C23—862no—
595C23—864no—
596C23—862no—
597C23—864no—
598C23—862no—
599C23—1722no—
600C23—1722no—
601C23—1721no—
602C23—1722no—
603C23—1722no—
604C23—1722no—
605C23—1721no—
606C23—1721no—
607C23—1721no—
608C23—1721no—
609C23—1722no—
610C23—1722no—
611C23—1722no—
612C23—1721no—
613C23—1721no—
614C23—1722no—
615C23—1722no—
616C23—1721no—
617C23C2×D4×D4311yescharacteristic
618C23C2×D4×D4311yescharacteristic
619C23C22×C22⋊D4311yescharacteristic
620C23#41×D4312yes—
621C23#41×D4311yescharacteristic
622C23#41×D4312yes—
623C23#41×D4312yes—
624C23C2×#1062190011yescharacteristic
625C23#1306337011yescharacteristic
626C23#1306337112yes—
627C23#1306337211yescharacteristic
628D4—17216no—
629C2×C4—22no—
630C2×C4—22no—
631C2×C4—24no—
632C2×C4—24no—
633C2×C4—24no—
634C2×C4—24no—
635C2×C4—24no—
636C2×C4—42no—
637C2×C4—42no—
638C2×C4—42no—
639C2×C4—42no—
640C2×C4—42no—
641C2×C4—42no—
642C2×C4—42no—
643C2×C4—42no—
644C2×C4—41no—
645C2×C4—42no—
646C2×C4—41no—
647C2×C4—42no—
648C2×C4—41no—
649C2×C4—42no—
650C2×C4—42no—
651C2×C4—42no—
652C2×C4—434no—
653C2×C4—434no—
654C2×C4—438no—
655C2×C4—434no—
656C2×C4—438no—
657C2×C4—864no—
658C2×C4—862no—
659C2×C4—864no—
660C2×C4—862no—
661C2×C4—862no—
662C2×C4—864no—
663C2×C4—1722no—
664C2×C4—1722no—
665C2×C4—1722no—
666C2×C4—1722no—
667C2×C4—1721no—
668C2×C4—1722no—
669C2×C4—1721no—
670C2×C4—1722no—
671C2×C4—1721no—
672C2×C4—1722no—
673C2×C4—1722no—
674C2×C4—1722no—
675C2×C4—1722no—
676C2×C4—1722no—
677C2×C4—1722no—
678C2×C4—1722no—
679C2×C4—1722no—
680C2×C4—1722no—
681C2×C4#1306329714yes—
682C22—42no—
683C22—44no—
684C22—44no—
685C22—42no—
686C22—42no—
687C22—81no—
688C22—81no—
689C22—81no—
690C22—82no—
691C22—82no—
692C22—81no—
693C22—3441no—
694C22—3441no—
695C22—3441no—
696C22—3442no—
697C22—3442no—
698C22—3441no—
699C22—1722no—
700C22—1724no—
701C22—1724no—
702C22—1722no—
703C22—1722no—
704C22#121×D4311yescharacteristic
705C22C2×#1306329711yescharacteristic
706C22#123×D4311yescharacteristic
707C22#123×D4312yes—
708C22#1458340711yescharacteristic
709C22#124×D4311yescharacteristic
710C22#126×D4312yes—
711C22#1458342612yes—
712C22#1458344512yes—
713C22#1458346711yescharacteristic
714C22#1458347811yescharacteristic
715C22#1458350112yes—
716C22#1458351512yes—
717C22D4×C22⋊D4311yescharacteristic
718C22#1458354112yes—
719C22#1458354811yescharacteristic
720C22#1458354911yescharacteristic
721C22#1458356812yes—
722C22#1458360012yes—
723C22#1458361311yescharacteristic
724C22#1458361612yes—
725C22#1458363112yes—
726C22#1458363312yes—
727C4—24no—
728C4—44no—
729C4—81no—
730C4—82no—
731C4—438no—
732C4—3441no—
733C4—3442no—
734C4—1722no—
735C4—1724no—
736C2—82no—
737C2—3442no—
738C2#397×D4311yescharacteristic
739C2#1913835912yes—
740C2#1913837712yes—
741C2#1913918012yes—
742C2#1913918712yes—
743C2#1913949311yescharacteristic
744C2#1913950911yescharacteristic
745C2#1913959511yescharacteristic
746C2#1914007911yescharacteristic
747C2#1914039011yescharacteristic
748C2#1914292411yescharacteristic
subgroupG/H
center, FrattiniC24C23×D43
commutator, socle, cosocleC24×C43C24
FittingC2×C43×#397C2
prime radicalC23×C22⋊D43C22
hypercenterC2×#397D43
hypocenterC43#15147
LCSG ▷ C24×C43 ▷ C43
UCSC1 ◁ C24 ◁ C2×#397

Complements

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

NH ≅ G/Ntype
1. C2×#14582825C2semidirect
4. C2×C4⋊C4×Dic43C2semidirect
5. #19132843C2semidirect
6. #19132842C2semidirect
7. #19132841C2semidirect
8. #19132840C2semidirect
9. Dic43⋊#95C2semidirect
10. Dic43⋊#95C2semidirect
11. C2×C43×#397C2semidirect
92. C2×C4⋊C4×C43D4semidirect
361. Dic43#397semidirect
363. C2×#397D43semidirect
414. C43#15147semidirect
440. C2×C4⋊C4C22⋊D43semidirect

Maximal subgroups

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

subgroupindex
C2×#145828252
C2×#145827992
C2×C4⋊C4×Dic432
#191328432
#191328422
#191328412
#191328402
Dic43⋊#952
C2×C43×#3972
#1514743