Finite Group Databasebeta

← C2×#19147294 #25976224

Subgroups — C2×#19147294 #25976224

Order 11008.

1894 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
1C2×#14583632C211yesmaximal, characteristic
2C2×#14583626C211yesmaximal, characteristic, complemented
3#19147294C2116yesmaximal, direct product factor
4C2×#14583256C211yesmaximal, characteristic, complemented
5C2×#14583252C211yesmaximal, characteristic, complemented
6C2×#14583244C211yesmaximal, characteristic
7C2×#14583183C211yesmaximal, characteristic, complemented
8C2×#14583202C211yesmaximal, characteristic, complemented
9C2×#14583122C211yesmaximal, characteristic, complemented
10C2×#14583120C211yesmaximal, characteristic, complemented
11C2×#14583098C211yesmaximal, characteristic
12C2×#14583023C211yesmaximal, characteristic, complemented
13C2×#14582993C211yesmaximal, characteristic, complemented
14C2×#14582986C211yesmaximal, characteristic, complemented
15C2×C4×#10621883C211yesmaximal, characteristic, complemented
16C2×C43×#478C211yesmaximal, characteristic, complemented
17C22×Dic172C2211yescharacteristic
18C22×#10621873C2211yescharacteristic
19C22×#10621883C2211yescharacteristic
20#14583632—24no—
21#14583632C2218yes—
22#14583626—24no—
23#14583626C2218yescomplemented
24C2×#13063324—21no—
25C2×#13063324C2211yescharacteristic
26C2×#13063321C2211yescharacteristic
27C2×#13063316C2211yescharacteristic
28C2×#13063315—21no—
29C2×#13063315—21no—
30C2×#13063313C2211yescharacteristic
31C2×#13063312C2211yescharacteristic
32C2×#13063311—21no—
33C2×#13063308—21no—
34C2×#13063307—21no—
35C2×C4×Dic86C2211yescharacteristic
36C2×C4×Dic86C2211yescharacteristic
37C2×#13063290—21no—
38C2×#13063290C2211yescharacteristic
39C2×#13063290C2211yescharacteristic
40C2×#13063290C2211yescharacteristic
41C2×#13063287C2211yescharacteristic
42C2×C4×C22⋊D43—21no—
43#14583256C2218yescomplemented
44#14583252C2218yescomplemented
45#14583244C2218yes—
46#14583202C2218yescomplemented
47#14583183C2218yescomplemented
48#14583122C2218yescomplemented
49#14583120C2218yescomplemented
50#14583098C2218yes—
51#14583023C2218yescomplemented
52#14582993C2218yescomplemented
53#14582986C2218yescomplemented
54C4×#10621883C2218yescomplemented
55C2×#13063256C2211yescharacteristic
56C2×Dic43⋊C8C2211yescharacteristic
57C2×Dic43⋊C8C2211yescharacteristic
58C2×#13063250C2211yescharacteristic
59C2×#13063248C2211yescharacteristic
60C2×#13063248C2211yescharacteristic
61C2×#13063248C2211yescharacteristic
62C2×#13063247C2211yescharacteristic
63C2×#13063246C2211yescharacteristic
64C2×#13063245C2211yescharacteristic
65C2×#13063245C2211yescharacteristic
66C2×C4×C43⋊C8C2211yescharacteristic
67C2×C8×Dic43C2211yescharacteristic
68C2×C8×Dic43C2211yescharacteristic
69C2×#125×C43C2211yescharacteristic
70C2×C4×D4×C43C2211yescharacteristic
71C43×#478C2218yescomplemented
72C2×#107×C43C2211yescharacteristic
73C2×#106×C43C2211yescharacteristic
74C2×C4⋊C8×C43C2211yescharacteristic
75C2×#102×C43C2211yescharacteristic
76C2×#102×C43C2211yescharacteristic
77C22×Dic86—21no—
78C22×Dic86D411yescharacteristic
79C22×Dic86C2311yescharacteristic
80C22×Dic86C2311yescharacteristic
81C22×D172C2311yescharacteristic
82C22×C22⋊D43—21no—
83C22×C22⋊D43—21no—
84C22×C4×D43—21no—
85C2×Dic172—24no—
86C2×Dic172C2314yes—
87C2×#10621873—24no—
88C2×#10621873C2314yes—
89C2×#10621883—24no—
90C2×#10621883C2314yes—
91C22×C43⋊C8C2311yescharacteristic
92C22×C43⋊C8C2311yescharacteristic
93#13063324—28no—
94#13063324—22no—
95#13063324C2314yes—
96#13063321—22no—
97#13063321C2314yes—
98#13063316—22no—
99#13063316C2314yes—
100#13063315—28no—
101#13063315—28no—
102#13063313—22no—
103#13063313C2314yes—
104#13063312—22no—
105#13063312C2314yes—
106#13063311—28no—
107#13063308—28no—
108#13063307—28no—
109C4×Dic86—22no—
110C4×Dic86D414yes—
111C4×Dic86C2314yes—
112C4×Dic86C2314yes—
113#13063290—28no—
114#13063290—22no—
115#13063290—22no—
116#13063290—22no—
117#13063290C2314yes—
118#13063290C2314yes—
119#13063290C2314yes—
120#13063287—22no—
121#13063287C2314yes—
122C4×C22⋊D43—28no—
123C2×C4⋊Dic43—21no—
124C2×C4⋊Dic43D411yescharacteristic
125C2×C4⋊Dic43C2311yescharacteristic
126C2×Dic43⋊C4—21no—
127C2×Dic43⋊C4—21no—
128C2×Dic43⋊C4—21no—
129C2×Dic43⋊C4—21no—
130C2×Dic43⋊C4—21no—
131C2×Dic43⋊C4—21no—
132C2×Dic43⋊C4D411yescharacteristic
133C2×Dic43⋊C4D411yescharacteristic
134C2×C22⋊Dic43—21no—
135C2×C22⋊Dic43—21no—
136C2×(C2×D43)⋊C4—21no—
137C2×(C2×D43)⋊C4—21no—
138C2×(C2×D43)⋊C4—21no—
139C2×C4×Dic43—21no—
140C2×C4×Dic43—21no—
141C2×C4×Dic43—21no—
142C2×C4×Dic43—21no—
143C2×C4×Dic43C2311yescharacteristic
144C2×C4×Dic43C2311yescharacteristic
145#13063256C2314yes—
146Dic43⋊C8C2314yes—
147Dic43⋊C8C2314yes—
148#13063250C2314yes—
149#13063248C2314yes—
150#13063248C2314yes—
151#13063248C2314yes—
152#13063247C2314yes—
153#13063246C2314yes—
154#13063245C2314yes—
155#13063245C2314yes—
156C4×C43⋊C8C2314yes—
157C8×Dic43C2314yes—
158C8×Dic43C2314yes—
159C22×D4×C43C2311yescharacteristic
160C23×C4×C43—21no—
161C22×C8×C43C2311yescharacteristic
162C22×C8×C43C2311yescharacteristic
163#125×C43—22no—
164#125×C43C2314yes—
165C4×D4×C43—22no—
166C4×D4×C43C2314yes—
167C2×C4⋊C4×C43—21no—
168C2×C4⋊C4×C43—21no—
169C2×C4⋊C4×C43C2311yescharacteristic
170C2×C4⋊C4×C43C2311yescharacteristic
171C2×C4⋊C4×C43C2311yescharacteristic
172C2×C22⋊C4×C43—21no—
173C2×C42×C43C2311yescharacteristic
174#107×C43C2314yes—
175#106×C43C2314yes—
176C4⋊C8×C43C2314yes—
177#102×C43C2314yes—
178#102×C43C2314yes—
179C24×C43—21no—
180C23×D43—21no—
181C2×D4×C43—21no—
182C2×D4×C43—22no—
183C2×D4×C43—22no—
184C2×D4×C43C2412yes—
185C22×C4×C43—24no—
186C22×C4×C43—21no—
187C22×C4×C43—21no—
188C22×C4×C43—21no—
189C22×C4×C43—82no—
190C22×C4×C43C2×D411yescharacteristic
191C22×C4×C43C2×D411yescharacteristic
192C22×C4×C43C2411yescharacteristic
193C2×C22⋊D43—24no—
194C2×C22⋊D43—24no—
195C2×C22⋊D43—44no—
196C2×C22⋊D43—82no—
197C22×Dic43—21no—
198C22×Dic43—21no—
199C22×Dic43—21no—
200C22×Dic43C2×D411yescharacteristic
201C22×Dic43C2×D411yescharacteristic
202C22×Dic43C2×D411yescharacteristic
203C22×Dic43C2×D411yescharacteristic
204C2×D172—21no—
205C2×D172—22no—
206C2×D172—22no—
207C2×D172C2412yes—
208C2×C4×D43—24no—
209C2×C4×D43—82no—
210C2×Dic86—21no—
211C2×Dic86—22no—
212C2×Dic86—24no—
213C2×Dic86—22no—
214C2×Dic86—22no—
215C2×Dic86—21no—
216C2×Dic86—24no—
217C2×Dic86—44no—
218C2×Dic86C2×D414yes—
219C2×Dic86#4114yes—
220C2×Dic86C2412yes—
221C2×Dic86C2412yes—
222C2×C8×C43—22no—
223C2×C8×C43—22no—
224C2×C8×C43C2412yes—
225C2×C8×C43C2412yes—
226C4⋊C4×C43—24no—
227C4⋊C4×C43—24no—
228C4⋊C4×C43—21no—
229C4⋊C4×C43—21no—
230C4⋊C4×C43—21no—
231C4⋊C4×C43C2412yes—
232C4⋊C4×C43C2412yes—
233C4⋊C4×C43C2412yes—
234C22⋊C4×C43—24no—
235C42×C43C2×D412yes—
236C42×C43C2412yes—
237C22⋊Dic43—24no—
238C22⋊Dic43—24no—
239#10621883—28no—
240(C2×D43)⋊C4—24no—
241(C2×D43)⋊C4—24no—
242(C2×D43)⋊C4—24no—
243C4⋊Dic43—21no—
244C4⋊Dic43—24no—
245C4⋊Dic43C2×D414yes—
246C4⋊Dic43C2412yes—
247Dic43⋊C4—24no—
248Dic43⋊C4—24no—
249Dic43⋊C4—24no—
250Dic43⋊C4—24no—
251Dic43⋊C4—24no—
252Dic43⋊C4—24no—
253Dic43⋊C4C2×D414yes—
254Dic43⋊C4C2×D414yes—
255C4×Dic43—24no—
256C4×Dic43—24no—
257C4×Dic43—24no—
258C4×Dic43—24no—
259C4×Dic43C2×D412yes—
260C4×Dic43C2×D412yes—
261C4×Dic43C2412yes—
262C4×Dic43C2412yes—
263C2×C43⋊C8—22no—
264C2×C43⋊C8—22no—
265C2×C43⋊C8C2412yes—
266C2×C43⋊C8C2412yes—
267Dic172—28no—
268#10621873—28no—
269C23×C43—22no—
270C23×C43—42no—
271C23×C43—42no—
272C23×C43—42no—
273C23×C43C22×D411yescharacteristic
274C22×D43—22no—
275C22×D43—42no—
276C22×D43—42no—
277C22×D43—42no—
278D4×C43—22no—
279D4×C43—22no—
280D4×C43—42no—
281C2×C4×C43—22no—
282C2×C4×C43—22no—
283C2×C4×C43—22no—
284C2×C4×C43—22no—
285C2×C4×C43—22no—
286C2×C4×C43—42no—
287C2×C4×C43—42no—
288C2×C4×C43—42no—
289C2×C4×C43—84no—
290C2×C4×C43C22×D412yes—
291C2×C4×C43C22×D412yes—
292C2×C4×C43C22×D411yescharacteristic
293C2×C4×C43C2×#4112yes—
294C2×C4×C432−1+412yes—
295C2×C4×C43C2511yescharacteristic
296C22⋊D43—48no—
297C22⋊D43—84no—
298C2×Dic43—24no—
299C2×Dic43—22no—
300C2×Dic43—22no—
301C2×Dic43—22no—
302C2×Dic43—22no—
303C2×Dic43—22no—
304C2×Dic43—22no—
305C2×Dic43—42no—
306C2×Dic43—42no—
307C2×Dic43#13514yes—
308C2×Dic43C22×D412yes—
309C2×Dic43C22×D412yes—
310C2×Dic43C22×D412yes—
311C2×Dic43C22×D412yes—
312D172—22no—
313D172—22no—
314D172—42no—
315C4×D43—84no—
316Dic86—24no—
317Dic86—22no—
318Dic86—28no—
319Dic86—22no—
320Dic86—22no—
321Dic86—42no—
322Dic86—48no—
323Dic86C2×#4114yes—
324C8×C43—22no—
325C8×C43—22no—
326C43⋊C8—22no—
327C43⋊C8—22no—
328C2×#3365—431nomaximal, Sylow
329C22×C43—42no—
330C22×C43—42no—
331C22×C43—42no—
332C22×C43—84no—
333C22×C43#54812yes—
334C22×C43C2×#13512yes—
335C22×C43#57712yes—
336C22×C43C23×D411yescharacteristic
337C2×D43—42no—
338C2×D43—42no—
339C2×D43—42no—
340C2×D43—84no—
341C4×C43—22no—
342C4×C43—22no—
343C4×C43—42no—
344C4×C43—42no—
345C4×C43—42no—
346C4×C43#54812yes—
347C4×C43C22×#4111yescharacteristic
348C4×C43C2×2−1+411yescharacteristic
349Dic43—24no—
350Dic43—22no—
351Dic43—22no—
352Dic43—22no—
353Dic43—42no—
354Dic43—42no—
355Dic43C2×#13514yes—
356C2×#559—431no—
357C2×#557—431no—
358#3365—4316no—
359C2×#488—431no—
360C2×#488—431no—
361C2×#486—431no—
362C2×#475—431no—
363C2×#478—431no—
364C2×#478D4311yescharacteristic, complemented
365C2×#464—431no—
366C2×#464—431no—
367C2×#460—431no—
368C2×C8×Q8—431no—
369C2×C4×Q16—431no—
370C2×C4×SD16—431no—
371C2×C4×SD16—431no—
372C2×C43—82no—
373C2×C43#336514yescomplemented
374C2×C43C2×#54811yescharacteristic
375C2×C43C22×#13511yescharacteristic
376C2×C43C2×#57711yescharacteristic
377D43—82no—
378C22×Q16—431no—
379C22×SD16—431no—
380C22×SD16—431no—
381#559—438no—
382#559—864no—
383#557—438no—
384#557—864no—
385C2×C4⋊Q8—431no—
386C2×C4⋊Q8—861no—
387C2×#127—431no—
388C2×#125—431no—
389C2×#125—861no—
390C2×#125—861no—
391C2×#125C2×D4311yescharacteristic
392C2×#124—431no—
393C2×#124—431no—
394C2×#124—861no—
395C2×#123—861no—
396C2×#123—861no—
397C2×C4×Q8—431no—
398C2×C4×Q8—431no—
399C2×C4×Q8—431no—
400C2×C4×Q8—431no—
401C2×C4×Q8—431no—
402C2×C4×Q8—861no—
403C2×C4×D4—431no—
404C2×C4×D4—861no—
405C2×C4×D4C2×D4311yescharacteristic
406#488—438no—
407#488—438no—
408#486—438no—
409#478—438no—
410#478C2×D4318yescomplemented
411#475—438no—
412#464—438no—
413#464—438no—
414#460—438no—
415C8×Q8—438no—
416C4×Q16—438no—
417C4×SD16—438no—
418C4×SD16—438no—
419C2×#107C2×D4311yescharacteristic
420C2×#106—431no—
421C2×#106C2×D4311yescharacteristic
422C2×C4⋊C8—431no—
423C2×C4⋊C8—431no—
424C2×C4⋊C8C2×D4311yescharacteristic
425C2×#103—431no—
426C2×#103—431no—
427C2×#103—431no—
428C2×#103—431no—
429C2×#102—431no—
430C2×#102—431no—
431C2×#102—431no—
432C2×#102—431no—
433C2×#102C2×D4311yescharacteristic
434C2×#102C2×D4311yescharacteristic
435C2×C4×C8—431no—
436C2×C4×C8—431no—
437C2×C4×C8—431no—
438C43C2×#336511yescharacteristic, complemented, Sylow
439C22×Q8—431no—
440C22×Q8—431no—
441C22×Q8—431no—
442C22×Q8—861no—
443C22×D4—431no—
444C22×D4—861no—
445C22×D4—861no—
446C22×D4C22×D4311yescharacteristic
447C23×C4—21no—
448C23×C4—861no—
449C2×Q16—434no—
450C2×Q16—864no—
451C2×SD16—434no—
452C2×SD16—434no—
453C2×SD16—864no—
454C2×SD16—864no—
455C22×C8—431no—
456C22×C8—431no—
457C22×C8C22×D4311yescharacteristic
458C22×C8C22×D4311yescharacteristic
459C4⋊Q8—434no—
460C4⋊Q8—862no—
461C4⋊Q8—868no—
462#127—434no—
463#127—862no—
464#125—22no—
465#125—434no—
466#125—862no—
467#125—868no—
468#125—868no—
469#125C22×D4314yes—
470#124—434no—
471#124—434no—
472#124—862no—
473#124—868no—
474#124—862no—
475#123—868no—
476#123—868no—
477C4×Q8—434no—
478C4×Q8—434no—
479C4×Q8—434no—
480C4×Q8—434no—
481C4×Q8—434no—
482C4×Q8—434no—
483C4×Q8—862no—
484C4×Q8—862no—
485C4×Q8—862no—
486C4×Q8—868no—
487C4×Q8—862no—
488C4×D4—22no—
489C4×D4—434no—
490C4×D4—862no—
491C4×D4—868no—
492C4×D4C22×D4314yes—
493C2×C4⋊C4—21no—
494C2×C4⋊C4—21no—
495C2×C4⋊C4—431no—
496C2×C4⋊C4—431no—
497C2×C4⋊C4—431no—
498C2×C4⋊C4—431no—
499C2×C4⋊C4—861no—
500C2×C4⋊C4—861no—
501C2×C4⋊C4—861no—
502C2×C4⋊C4—861no—
503C2×C4⋊C4—861no—
504C2×C4⋊C4—861no—
505C2×C4⋊C4—861no—
506C2×C4⋊C4C22×D4311yescharacteristic
507C2×C4⋊C4C22×D4311yescharacteristic
508C2×C4⋊C4C22×D4311yescharacteristic
509C2×C22⋊C4—21no—
510C2×C22⋊C4—861no—
511C2×C22⋊C4—861no—
512C2×C22⋊C4—861no—
513C2×C22⋊C4—861no—
514C2×C22⋊C4—861no—
515C2×C42—431no—
516C2×C42—431no—
517C2×C42—861no—
518C2×C42—861no—
519C2×C42—861no—
520C2×C42—861no—
521C2×C42C22×D4311yescharacteristic
522#107C22×D4314yes—
523#106—434no—
524#106C22×D4314yes—
525C4⋊C8—434no—
526C4⋊C8—434no—
527C4⋊C8C22×D4314yes—
528#103—434no—
529#103—434no—
530#103—434no—
531#103—434no—
532#102—434no—
533#102—434no—
534#102—434no—
535#102—434no—
536#102C22×D4314yes—
537#102C22×D4314yes—
538C4×C8—434no—
539C4×C8—434no—
540C4×C8—434no—
541C24—21no—
542C24—861no—
543C2×Q8—434no—
544C2×Q8—434no—
545C2×Q8—432no—
546C2×Q8—432no—
547C2×Q8—864no—
548C2×Q8—864no—
549C2×Q8—861no—
550C2×Q8—861no—
551C2×Q8—862no—
552C2×Q8—862no—
553C2×Q8—862no—
554C2×Q8—1724no—
555C2×D4—21no—
556C2×D4—22no—
557C2×D4—22no—
558C2×D4—432no—
559C2×D4—864no—
560C2×D4—864no—
561C2×D4—861no—
562C2×D4—862no—
563C2×D4—862no—
564C2×D4—3442no—
565C2×D4—1724no—
566C2×D4C23×D4312yes—
567C22×C4—21no—
568C22×C4—21no—
569C22×C4—21no—
570C22×C4—24no—
571C22×C4—82no—
572C22×C4—431no—
573C22×C4—431no—
574C22×C4—431no—
575C22×C4—431no—
576C22×C4—864no—
577C22×C4—861no—
578C22×C4—861no—
579C22×C4—861no—
580C22×C4—3442no—
581C22×C4D4×D4311yescharacteristic
582C22×C4D4×D4311yescharacteristic
583C22×C4C23×D4311yescharacteristic
584Q16—868no—
585SD16—868no—
586SD16—868no—
587C2×C8—22no—
588C2×C8—22no—
589C2×C8—432no—
590C2×C8—432no—
591C2×C8—862no—
592C2×C8—862no—
593C2×C8C23×D4312yes—
594C2×C8C23×D4312yes—
595C4⋊C4—24no—
596C4⋊C4—24no—
597C4⋊C4—21no—
598C4⋊C4—21no—
599C4⋊C4—21no—
600C4⋊C4—434no—
601C4⋊C4—434no—
602C4⋊C4—434no—
603C4⋊C4—432no—
604C4⋊C4—864no—
605C4⋊C4—864no—
606C4⋊C4—864no—
607C4⋊C4—864no—
608C4⋊C4—864no—
609C4⋊C4—864no—
610C4⋊C4—861no—
611C4⋊C4—864no—
612C4⋊C4C23×D4312yes—
613C4⋊C4C23×D4312yes—
614C4⋊C4C23×D4312yes—
615C22⋊C4—24no—
616C22⋊C4—864no—
617C22⋊C4—864no—
618C22⋊C4—864no—
619C22⋊C4—864no—
620C22⋊C4—864no—
621C42—432no—
622C42—432no—
623C42—432no—
624C42—432no—
625C42—864no—
626C42—864no—
627C42—864no—
628C42—864no—
629C42D4×D4312yes—
630C42C23×D4312yes—
631C23—22no—
632C23—42no—
633C23—42no—
634C23—42no—
635C23—862no—
636C23—1722no—
637C23—1722no—
638C23—1722no—
639C23C2×D4×D4311yescharacteristic
640Q8—434no—
641Q8—868no—
642Q8—864no—
643Q8—862no—
644Q8—862no—
645Q8—862no—
646Q8—1728no—
647Q8—1722no—
648D4—22no—
649D4—22no—
650D4—42no—
651D4—862no—
652D4—862no—
653D4—3444no—
654D4—1728no—
655D4—1722no—
656C2×C4—22no—
657C2×C4—22no—
658C2×C4—22no—
659C2×C4—22no—
660C2×C4—22no—
661C2×C4—42no—
662C2×C4—42no—
663C2×C4—42no—
664C2×C4—84no—
665C2×C4—434no—
666C2×C4—432no—
667C2×C4—432no—
668C2×C4—432no—
669C2×C4—432no—
670C2×C4—864no—
671C2×C4—862no—
672C2×C4—862no—
673C2×C4—862no—
674C2×C4—862no—
675C2×C4—862no—
676C2×C4—862no—
677C2×C4—3444no—
678C2×C4—1722no—
679C2×C4—1722no—
680C2×C4C2×D4×D4312yes—
681C2×C4C2×D4×D4312yes—
682C2×C4C2×D4×D4311yescharacteristic
683C2×C4#41×D4312yes—
684C2×C4#1306337312yes—
685C2×C4C24×D4311yescharacteristic
686C8—22no—
687C8—22no—
688C8—862no—
689C8—862no—
690C22—42no—
691C22—42no—
692C22—42no—
693C22—84no—
694C22—3444no—
695C22—1722no—
696C22—1722no—
697C22—1722no—
698C22#1458355912yes—
699C22#135×D4312yes—
700C22#1458370912yes—
701C22C22×D4×D4311yescharacteristic
702C4—22no—
703C4—22no—
704C4—42no—
705C4—42no—
706C4—42no—
707C4—434no—
708C4—862no—
709C4—864no—
710C4—862no—
711C4—862no—
712C4—1722no—
713C4—1722no—
714C4#1458355912yes—
715C4C2×#41×D4311yescharacteristic
716C4C2×#1306337311yescharacteristic
717C2—82no—
718C2—3442no—
719C2#1914729414yesdirect product factor
720C2C2×#1458355911yescharacteristic
721C2C2×#135×D4311yescharacteristic
722C2C2×#1458370911yescharacteristic
subgroupG/H
centerC23C2×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC2×C43×#478C2
socleC23×C43C22×D4
prime radicalC2×#13063321C22
hypercenterC2×#478D43
hypocenterC43C2×#3365
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×#478

Complements

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

NH ≅ G/Ntype
2. C2×#14583626C2semidirect
3. #19147294C2direct (N × H)
4. C2×#14583256C2semidirect
5. C2×#14583252C2semidirect
7. C2×#14583183C2semidirect
8. C2×#14583202C2semidirect
9. C2×#14583122C2semidirect
10. C2×#14583120C2semidirect
12. C2×#14583023C2semidirect
13. C2×#14582993C2semidirect
14. C2×#14582986C2semidirect
15. C2×C4×#10621883C2semidirect
16. C2×C43×#478C2semidirect
23. #14583626C22semidirect
43. #14583256C22semidirect
44. #14583252C22semidirect
46. #14583202C22semidirect
47. #14583183C22semidirect
48. #14583122C22semidirect
49. #14583120C22semidirect
51. #14583023C22semidirect
52. #14582993C22semidirect
53. #14582986C22semidirect
54. C4×#10621883C22semidirect
71. C43×#478C22semidirect
364. C2×#478D43semidirect
373. C2×C43#3365semidirect
410. #478C2×D43semidirect
438. C43C2×#3365semidirect
719. C2#19147294direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#145836322
C2×#145836262
#191472942
C2×#145832562
C2×#145832522
C2×#145832442
C2×#145831832
C2×#145832022
C2×#145831222
C2×#145831202
C2×#145830982
C2×#145830232
C2×#145829932
C2×#145829862
C2×C4×#106218832
C2×C43×#4782
C2×#336543