Finite Group Databasebeta

← C2×#385×D43 #25254900

Subgroups — C2×#385×D43 #25254900

Order 11008.

8670 conjugacy classes of subgroups.

The subgroup lattice has 684 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C24×C4×D43C211yesmaximal, characteristic
2C22×C4⋊C4×D43C212yesmaximal, complemented
3C22×C22⋊C4×D43C211yesmaximal, characteristic
4C22×C22⋊C4×D43C211yesmaximal, characteristic
5C2×#14582774C211yesmaximal, characteristic, complemented
6C2×#14582773C212yesmaximal, complemented
7C2×#14582772C211yesmaximal, characteristic, complemented
8C2×#14582771C211yesmaximal, characteristic, complemented
9C2×#14582770C212yesmaximal, complemented
10#385×D43C2116yesmaximal, direct product factor
11C2×#95×D43C212yesmaximal, complemented
12C2×C43×#385C211yesmaximal, characteristic, complemented
13C25×D43C2211yescharacteristic
14C24×Dic43C2211yescharacteristic
15C23×C4×D43—28no—
16C23×C4×D43—216no—
17C23×C4×D43C2218yes—
18C23×C4×D43C2212yes—
19C23×C4×D43C2211yescharacteristic
20C23×C4×D43C2211yescharacteristic
21C23×C4×D43C2212yes—
22C23×C4×D43C2212yes—
23C22×C4⋊Dic43C2212yescomplemented
24C22×Dic43⋊C4C2212yescomplemented
25C22×Dic43⋊C4C2212yescomplemented
26C2×C4⋊C4×D43—216no—
27C2×C4⋊C4×D43C22116yescomplemented
28C22×C22⋊Dic43C2211yescharacteristic
29C22×C22⋊Dic43C2211yescharacteristic
30C22×(C2×D43)⋊C4C2211yescharacteristic
31C22×(C2×D43)⋊C4C2211yescharacteristic
32C22×(C2×D43)⋊C4C2212yes—
33C2×C22⋊C4×D43—28no—
34C2×C22⋊C4×D43C4116yescomplemented
35C2×C22⋊C4×D43C2218yes—
36C2×C22⋊C4×D43C2218yes—
37#14582774C2218yescomplemented
38#14582773C22116yescomplemented
39#14582772C2218yescomplemented
40#14582771C2218yescomplemented
41#14582770C22116yescomplemented
42C2×C43⋊#95C2212yescomplemented
43C2×C43⋊#95C2212yescomplemented
44C2×C43⋊#95C2212yescomplemented
45#95×D43C22116yescomplemented
46C24×C4×C43C2211yescharacteristic
47C22×C4⋊C4×C43C2212yescomplemented
48C22×C22⋊C4×C43C2211yescharacteristic
49C22×C22⋊C4×C43C2211yescharacteristic
50C43×#385C2218yescomplemented
51C2×#95×C43C2212yescomplemented
52C24×D43—28no—
53C24×D43—28no—
54C24×D43C2×C418yes—
55C24×D43D418yes—
56C24×D43Q818yes—
57C24×D43C2314yes—
58C24×D43C2311yescharacteristic
59C24×D43C2311yescharacteristic
60C23×Dic43—24no—
61C23×Dic43—28no—
62C23×Dic43C2311yescharacteristic
63C23×Dic43C2311yescharacteristic
64C23×Dic43C2314yes—
65C23×Dic43C2312yes—
66C23×Dic43C2312yes—
67C22×C4×D43—2128no—
68C22×C4×D43—28no—
69C22×C4×D43—232no—
70C22×C4×D43—28no—
71C22×C4×D43—28no—
72C22×C4×D43—28no—
73C22×C4×D43—28no—
74C22×C4×D43—28no—
75C22×C4×D43—28no—
76C22×C4×D43—264no—
77C22×C4×D43—24no—
78C22×C4×D43—24no—
79C22×C4×D43—28no—
80C22×C4×D43—28no—
81C22×C4×D43C2×C4116yescomplemented
82C22×C4×D43D4116yes—
83C22×C4×D43C2314yes—
84C22×C4×D43C2314yes—
85C22×C4×D43C2318yes—
86C22×C4×D43C2318yes—
87C22×C4×D43C2318yes—
88C2×C4⋊Dic43—28no—
89C2×C4⋊Dic43C2318yescomplemented
90C2×Dic43⋊C4—28no—
91C2×Dic43⋊C4—28no—
92C2×Dic43⋊C4C2318yescomplemented
93C2×Dic43⋊C4C2318yescomplemented
94C4⋊C4×D43—264no—
95C2×C22⋊Dic43—24no—
96C2×C22⋊Dic43C2×C418yescomplemented
97C2×C22⋊Dic43C2314yes—
98C2×C22⋊Dic43C2314yes—
99C2×(C2×D43)⋊C4—24no—
100C2×(C2×D43)⋊C4—24no—
101C2×(C2×D43)⋊C4C2×C4116yescomplemented
102C2×(C2×D43)⋊C4C2314yes—
103C2×(C2×D43)⋊C4C2314yes—
104C2×(C2×D43)⋊C4C2318yes—
105C22⋊C4×D43—232no—
106C22⋊C4×D43C2×C4164yescomplemented
107C43⋊#95C2318yescomplemented
108C43⋊#95C2318yescomplemented
109C43⋊#95C2318yescomplemented
110C25×C43C2311yescharacteristic
111C23×C4×C43—24no—
112C23×C4×C43—28no—
113C23×C4×C43C2311yescharacteristic
114C23×C4×C43C2311yescharacteristic
115C23×C4×C43C2314yes—
116C23×C4×C43C2312yes—
117C23×C4×C43C2312yes—
118C2×C4⋊C4×C43—28no—
119C2×C4⋊C4×C43C2318yescomplemented
120C2×C22⋊C4×C43—24no—
121C2×C22⋊C4×C43C2×C418yescomplemented
122C2×C22⋊C4×C43C2314yes—
123C2×C22⋊C4×C43C2314yes—
124#95×C43C2318yescomplemented
125C24×C43—24no—
126C24×C43—24no—
127C24×C43C22×C414yes—
128C24×C43C2×D414yes—
129C24×C43C2×Q814yes—
130C24×C43C2412yes—
131C24×C43C2411yescharacteristic
132C23×D43—24no—
133C23×D43—24no—
134C23×D43—264no—
135C23×D43—232no—
136C23×D43—264no—
137C23×D43—232no—
138C23×D43—216no—
139C23×D43—216no—
140C23×D43C4⋊C4164yescomplemented
141C23×D43C22×C4116yes—
142C23×D43C22×C414yes—
143C23×D43C22×C414yes—
144C23×D43C2×D4116yes—
145C23×D43C2×D414yes—
146C23×D43C2×D414yes—
147C23×D43C2×D418yes—
148C23×D43C2×Q814yes—
149C23×D43C2×Q8116yes—
150C23×D43C2×Q814yes—
151C23×D43#4118yes—
152C23×D43C2412yes—
153C23×D43C2412yes—
154C22×C4×C43—232no—
155C22×C4×C43—216no—
156C22×C4×C43—24no—
157C22×C4×C43—28no—
158C22×C4×C43—24no—
159C22×C4×C43—24no—
160C22×C4×C43—22no—
161C22×C4×C43—22no—
162C22×C4×C43—24no—
163C22×C4×C43—24no—
164C22×C4×C43—24no—
165C22×C4×C43C22×C418yescomplemented
166C22×C4×C43C2×D418yes—
167C22×C4×C43C2412yes—
168C22×C4×C43C2412yes—
169C22×C4×C43C2414yes—
170C22×C4×C43C2414yes—
171C22×Dic43—232no—
172C22×Dic43—216no—
173C22×Dic43—24no—
174C22×Dic43—28no—
175C22×Dic43—24no—
176C22×Dic43—24no—
177C22×Dic43—22no—
178C22×Dic43—22no—
179C22×Dic43—24no—
180C22×Dic43—24no—
181C22×Dic43—24no—
182C22×Dic43C22×C418yescomplemented
183C22×Dic43C2×D418yes—
184C22×Dic43C2412yes—
185C22×Dic43C2412yes—
186C22×Dic43C2414yes—
187C22×Dic43C2414yes—
188C2×C4×D43—264no—
189C2×C4×D43—2256no—
190C2×C4×D43—216no—
191C2×C4×D43—216no—
192C2×C4×D43—264no—
193C2×C4×D43—264no—
194C2×C4×D43—216no—
195C2×C4×D43—216no—
196C2×C4×D43—216no—
197C2×C4×D43—216no—
198C2×C4×D43—28no—
199C2×C4×D43—28no—
200C2×C4×D43—216no—
201C2×C4×D43—216no—
202C2×C4×D43—216no—
203C2×C4×D43—416no—
204C2×C4×D43—416no—
205C2×C4×D43C22×C4132yescomplemented
206C2×C4×D43C2×D4132yes—
207C4⋊C4×C43—216no—
208C22⋊C4×C43—28no—
209C22⋊C4×C43C22×C4116yescomplemented
210C22⋊Dic43—28no—
211C22⋊Dic43C22×C4116yescomplemented
212(C2×D43)⋊C4—28no—
213(C2×D43)⋊C4—28no—
214(C2×D43)⋊C4C22×C4132yescomplemented
215C4⋊Dic43—216no—
216Dic43⋊C4—216no—
217Dic43⋊C4—216no—
218C23×C43—216no—
219C23×C43—28no—
220C23×C43—216no—
221C23×C43—28no—
222C23×C43—24no—
223C23×C43—24no—
224C23×C43C2×C4⋊C4116yescomplemented
225C23×C43C23×C414yes—
226C23×C43C23×C412yes—
227C23×C43C22×D414yes—
228C23×C43C22×D412yes—
229C23×C43C22×D414yes—
230C23×C43C22×Q814yes—
231C23×C43C22×Q812yes—
232C23×C43C2×#4114yes—
233C23×C43C2511yescharacteristic
234C22×D43—216no—
235C22×D43—28no—
236C22×D43—216no—
237C22×D43—28no—
238C22×D43—24no—
239C22×D43—24no—
240C22×D43—264no—
241C22×D43—232no—
242C22×D43—264no—
243C22×D43—232no—
244C22×D43—2256no—
245C22×D43C2×C4⋊C4116yes—
246C22×D43C2×C4⋊C4164yescomplemented
247C22×D43C2×C4⋊C4116yescomplemented
248C22×D43C4×D4132yes—
249C22×D43#120116yes—
250C22×D43C22⋊Q8132yes—
251C22×D43#123116yes—
252C22×D43C23×C414yes—
253C22×D43C23×C414yes—
254C22×D43C22×D414yes—
255C22×D43C22×D414yes—
256C22×D43C22×D418yes—
257C22×D43C22×Q814yes—
258C22×D43C22×Q814yes—
259C22×D43C2×#4118yes—
260C2×C4×C43—232no—
261C2×C4×C43—216no—
262C2×C4×C43—216no—
263C2×C4×C43—24no—
264C2×C4×C43—24no—
265C2×C4×C43—24no—
266C2×C4×C43—24no—
267C2×C4×C43—24no—
268C2×C4×C43—22no—
269C2×C4×C43—22no—
270C2×C4×C43—24no—
271C2×C4×C43—44no—
272C2×C4×C43—44no—
273C2×C4×C43C23×C418yescomplemented
274C2×C4×C43C22×D418yes—
275C2×Dic43—232no—
276C2×Dic43—216no—
277C2×Dic43—216no—
278C2×Dic43—24no—
279C2×Dic43—24no—
280C2×Dic43—24no—
281C2×Dic43—24no—
282C2×Dic43—24no—
283C2×Dic43—22no—
284C2×Dic43—22no—
285C2×Dic43—24no—
286C2×Dic43—44no—
287C2×Dic43—44no—
288C2×Dic43C23×C418yescomplemented
289C2×Dic43C22×D418yes—
290C4×D43—264no—
291C4×D43—264no—
292C4×D43—264no—
293C4×D43—416no—
294C4×D43—416no—
295C22×#385—431nomaximal, Sylow
296C22×C43—28no—
297C22×C43—24no—
298C22×C43—28no—
299C22×C43—24no—
300C22×C43—232no—
301C22×C43C22×C4⋊C414yes—
302C22×C43C22×C4⋊C418yescomplemented
303C22×C43C2×C4×D418yes—
304C22×C43C2×#12014yes—
305C22×C43C2×C22⋊Q818yes—
306C22×C43C2×#12314yes—
307C22×C43C24×C411yescharacteristic
308C22×C43C23×D411yescharacteristic
309C22×C43C23×D412yes—
310C22×C43C23×Q811yescharacteristic
311C22×C43C22×#4112yes—
312C2×D43—28no—
313C2×D43—24no—
314C2×D43—28no—
315C2×D43—24no—
316C2×D43—232no—
317C2×D43—2128no—
318C2×D43#385164yesdirect product factor
319C2×D43C22×C4⋊C418yes—
320C2×D43C22×C4⋊C418yescomplemented
321C2×D43C2×C4×D4116yes—
322C2×D43C2×#12018yes—
323C2×D43C2×C22⋊Q8116yes—
324C2×D43C2×#12318yes—
325C4×C43—28no—
326C4×C43—28no—
327C4×C43—42no—
328C4×C43—42no—
329Dic43—28no—
330Dic43—28no—
331Dic43—42no—
332Dic43—42no—
333C25×C4—431no—
334C23×C4⋊C4—432no—
335C23×C22⋊C4—431no—
336C23×C22⋊C4—431no—
337C2×#385—4316no—
338C2×#385—432no—
339C2×#385—431no—
340C2×#385—432no—
341C2×#385—431no—
342C2×#385—431no—
343C2×#385D4311yescharacteristic, direct product factor
344C22×#95—432no—
345C2×C43—28no—
346C2×C43C2×#38518yescomplemented
347C2×C43C23×C4⋊C411yescharacteristic
348C2×C43C22×C4×D412yes—
349C2×C43C22×#12011yescharacteristic
350C2×C43C22×C22⋊Q812yes—
351C2×C43C22×#12311yescharacteristic
352D43—28no—
353D43C2×#385116yesdirect product factor
354C26—431no—
355C24×C4—432no—
356C24×C4—432no—
357C24×C4—431no—
358C24×C4—432no—
359C24×C4—438no—
360C24×C4—431no—
361C24×C4—431no—
362C24×C4—8616no—
363C24×C4—868no—
364C24×C4C2×D4311yescharacteristic
365C22×C4⋊C4—432no—
366C22×C4⋊C4—432no—
367C22×C4⋊C4—432no—
368C22×C4⋊C4—4316no—
369C22×C4⋊C4—8616no—
370C22×C4⋊C4C2×D4312yescomplemented
371C22×C22⋊C4—431no—
372C22×C22⋊C4—432no—
373C22×C22⋊C4—438no—
374C22×C22⋊C4—4316no—
375C22×C22⋊C4—431no—
376C22×C22⋊C4—431no—
377C22×C22⋊C4—431no—
378C22×C22⋊C4—438no—
379C22×C22⋊C4—868no—
380C22×C22⋊C4C2×D4311yescharacteristic
381C22×C22⋊C4C2×D4311yescharacteristic
382#385—438no—
383#385—4316no—
384#385—438no—
385#385—438no—
386#385—4316no—
387#385C2×D4318yesdirect product factor
388C2×#95—432no—
389C2×#95—432no—
390C2×#95—432no—
391C2×#95—4316no—
392C2×#95C2×D4312yescomplemented
393C43C22×#38511yescharacteristic, complemented, Sylow
394C25—431no—
395C25—438no—
396C25—438no—
397C25—438no—
398C25—434no—
399C25—431no—
400C25—868no—
401C25—868no—
402C25C22×D4311yescharacteristic
403C23×C4—24no—
404C23×C4—28no—
405C23×C4—432no—
406C23×C4—432no—
407C23×C4—4316no—
408C23×C4—4316no—
409C23×C4—438no—
410C23×C4—438no—
411C23×C4—434no—
412C23×C4—431no—
413C23×C4—431no—
414C23×C4—434no—
415C23×C4—434no—
416C23×C4—438no—
417C23×C4—868no—
418C23×C4—8664no—
419C23×C4—868no—
420C23×C4—868no—
421C23×C4—868no—
422C23×C4—8632no—
423C23×C4—868no—
424C23×C4—868no—
425C23×C4—86128no—
426C23×C4—864no—
427C23×C4—864no—
428C23×C4—868no—
429C23×C4—868no—
430C23×C4—868no—
431C23×C4—864no—
432C23×C4—868no—
433C23×C4C22×D4314yes—
434C23×C4C22×D4311yescharacteristic
435C23×C4C22×D4311yescharacteristic
436C23×C4C22×D4312yes—
437C23×C4C22×D4312yes—
438C2×C4⋊C4—28no—
439C2×C4⋊C4—438no—
440C2×C4⋊C4—438no—
441C2×C4⋊C4—438no—
442C2×C4⋊C4—8664no—
443C2×C4⋊C4—868no—
444C2×C4⋊C4—868no—
445C2×C4⋊C4—868no—
446C2×C4⋊C4C22×D4318yescomplemented
447C2×C22⋊C4—24no—
448C2×C22⋊C4—438no—
449C2×C22⋊C4—434no—
450C2×C22⋊C4—4316no—
451C2×C22⋊C4—438no—
452C2×C22⋊C4—4364no—
453C2×C22⋊C4—434no—
454C2×C22⋊C4—434no—
455C2×C22⋊C4—434no—
456C2×C22⋊C4—8632no—
457C2×C22⋊C4—864no—
458C2×C22⋊C4—864no—
459C2×C22⋊C4—864no—
460C2×C22⋊C4C4×D4318yescomplemented
461C2×C22⋊C4C22×D4314yes—
462C2×C22⋊C4C22×D4314yes—
463#95—438no—
464#95—438no—
465#95—438no—
466#95C22×D4318yescomplemented
467C24—24no—
468C24—24no—
469C24—434no—
470C24—438no—
471C24—434no—
472C24—434no—
473C24—438no—
474C24—432no—
475C24—4364no—
476C24—4316no—
477C24—434no—
478C24—4316no—
479C24—434no—
480C24—4316no—
481C24—434no—
482C24—432no—
483C24—8632no—
484C24—8616no—
485C24—8664no—
486C24—8664no—
487C24—8632no—
488C24—8616no—
489C24—864no—
490C24—864no—
491C24C2×C4×D4314yes—
492C24D4×D4314yes—
493C24Q8×D4314yes—
494C24C23×D4312yes—
495C24C23×D4311yescharacteristic
496C22×C4—232no—
497C22×C4—24no—
498C22×C4—28no—
499C22×C4—24no—
500C22×C4—24no—
501C22×C4—24no—
502C22×C4—216no—
503C22×C4—22no—
504C22×C4—22no—
505C22×C4—24no—
506C22×C4—24no—
507C22×C4—438no—
508C22×C4—438no—
509C22×C4—434no—
510C22×C4—434no—
511C22×C4—4332no—
512C22×C4—4332no—
513C22×C4—432no—
514C22×C4—432no—
515C22×C4—8616no—
516C22×C4—8616no—
517C22×C4—8664no—
518C22×C4—8616no—
519C22×C4—8616no—
520C22×C4—8616no—
521C22×C4—8664no—
522C22×C4—8616no—
523C22×C4—86256no—
524C22×C4—8664no—
525C22×C4—868no—
526C22×C4—868no—
527C22×C4—8616no—
528C22×C4—8616no—
529C22×C4—8616no—
530C22×C4—8632no—
531C22×C4—864no—
532C22×C4—868no—
533C22×C4—864no—
534C22×C4—864no—
535C22×C4—864no—
536C22×C4—8616no—
537C22×C4—862no—
538C22×C4—862no—
539C22×C4—864no—
540C22×C4—864no—
541C22×C4—17216no—
542C22×C4—17216no—
543C22×C4C2×C4×D4318yescomplemented
544C22×C4D4×D4318yes—
545C22×C4C23×D4312yes—
546C22×C4C23×D4312yes—
547C22×C4C23×D4314yes—
548C22×C4C23×D4314yes—
549C4⋊C4—216no—
550C4⋊C4—8616no—
551C4⋊C4—8616no—
552C4⋊C4—8616no—
553C22⋊C4—28no—
554C22⋊C4—4316no—
555C22⋊C4—4332no—
556C22⋊C4—868no—
557C22⋊C4—868no—
558C22⋊C4—868no—
559C22⋊C4C2×C4×D43116yescomplemented
560C23—216no—
561C23—28no—
562C23—216no—
563C23—28no—
564C23—24no—
565C23—24no—
566C23—4316no—
567C23—4332no—
568C23—4316no—
569C23—4332no—
570C23—4316no—
571C23—434no—
572C23—438no—
573C23—434no—
574C23—434no—
575C23—438no—
576C23—4316no—
577C23—4364no—
578C23—434no—
579C23—434no—
580C23—434no—
581C23—8632no—
582C23—8664no—
583C23—8632no—
584C23—86256no—
585C23—8664no—
586C23—8616no—
587C23—868no—
588C23—8616no—
589C23—868no—
590C23—864no—
591C23—864no—
592C23C4⋊C4×D43116yescomplemented
593C23C22×C4×D4314yes—
594C23C22×C4×D4312yes—
595C23C2×D4×D4314yes—
596C23C2×D4×D4312yes—
597C23C2×D4×D4314yes—
598C23C2×Q8×D4314yes—
599C23C2×Q8×D4312yes—
600C23#41×D4314yes—
601C23C24×D4311yescharacteristic
602C2×C4—232no—
603C2×C4—216no—
604C2×C4—216no—
605C2×C4—24no—
606C2×C4—24no—
607C2×C4—24no—
608C2×C4—24no—
609C2×C4—22no—
610C2×C4—22no—
611C2×C4—24no—
612C2×C4—24no—
613C2×C4—44no—
614C2×C4—44no—
615C2×C4—438no—
616C2×C4—438no—
617C2×C4—8664no—
618C2×C4—8664no—
619C2×C4—8664no—
620C2×C4—8632no—
621C2×C4—8616no—
622C2×C4—8616no—
623C2×C4—864no—
624C2×C4—864no—
625C2×C4—864no—
626C2×C4—864no—
627C2×C4—862no—
628C2×C4—862no—
629C2×C4—864no—
630C2×C4—864no—
631C2×C4—17216no—
632C2×C4—17216no—
633C2×C4—1724no—
634C2×C4—1724no—
635C2×C4C22×C4×D4318yescomplemented
636C2×C4C2×D4×D4318yes—
637C22—24no—
638C22—28no—
639C22—24no—
640C22—232no—
641C22—28no—
642C22—438no—
643C22—4316no—
644C22—438no—
645C22—438no—
646C22—4364no—
647C22—4316no—
648C22—438no—
649C22—86128no—
650C22—864no—
651C22—868no—
652C22—864no—
653C22—8632no—
654C22—868no—
655C22C2×C4⋊C4×D4314yes—
656C22C2×C4⋊C4×D4318yescomplemented
657C22C4×D4×D4318yes—
658C22#120×D4314yes—
659C22C22⋊Q8×D4318yes—
660C22#123×D4314yes—
661C22C23×C4×D4311yescharacteristic
662C22C22×D4×D4312yes—
663C22C22×D4×D4311yescharacteristic
664C22C22×Q8×D4311yescharacteristic
665C22C2×#41×D4312yes—
666C4—28no—
667C4—28no—
668C4—42no—
669C4—42no—
670C4—868no—
671C4—868no—
672C4—1722no—
673C4—1722no—
674C2—28no—
675C2—4316no—
676C2—868no—
677C2#385×D4318yesdirect product factor
678C2C22×C4⋊C4×D4311yescharacteristic
679C2C2×C4×D4×D4312yes—
680C2C2×#120×D4311yescharacteristic
681C2C2×C22⋊Q8×D4312yes—
682C2C2×#123×D4311yescharacteristic
subgroupG/H
centerC24C23×D43
commutatorC22×C43C24×C4
FrattiniC23C24×D43
FittingC2×C43×#385C2
socleC24×C43C24
prime radicalC25×D43C22
cosocleC23×C43C25
hypercenterC2×#385D43
hypocenterC43C22×#385
LCSG ▷ C22×C43 ▷ C43
UCSC1 ◁ C24 ◁ C2×#385

Complements

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

NH ≅ G/Ntype
2. C22×C4⋊C4×D43C2semidirect
5. C2×#14582774C2semidirect
6. C2×#14582773C2semidirect
7. C2×#14582772C2semidirect
8. C2×#14582771C2semidirect
9. C2×#14582770C2semidirect
10. #385×D43C2direct (N × H)
11. C2×#95×D43C2semidirect
12. C2×C43×#385C2semidirect
23. C22×C4⋊Dic43C22semidirect
24. C22×Dic43⋊C4C22semidirect
25. C22×Dic43⋊C4C22semidirect
27. C2×C4⋊C4×D43C22semidirect
34. C2×C22⋊C4×D43C4semidirect
37. #14582774C22semidirect
38. #14582773C22semidirect
39. #14582772C22semidirect
40. #14582771C22semidirect
41. #14582770C22semidirect
42. C2×C43⋊#95C22semidirect
43. C2×C43⋊#95C22semidirect
44. C2×C43⋊#95C22semidirect
45. #95×D43C22semidirect
47. C22×C4⋊C4×C43C22semidirect
50. C43×#385C22semidirect
51. C2×#95×C43C22semidirect
81. C22×C4×D43C2×C4semidirect
89. C2×C4⋊Dic43C23semidirect
92. C2×Dic43⋊C4C23semidirect
93. C2×Dic43⋊C4C23semidirect
96. C2×C22⋊Dic43C2×C4semidirect
101. C2×(C2×D43)⋊C4C2×C4semidirect
106. C22⋊C4×D43C2×C4semidirect
107. C43⋊#95C23semidirect
108. C43⋊#95C23semidirect
109. C43⋊#95C23semidirect
119. C2×C4⋊C4×C43C23semidirect
121. C2×C22⋊C4×C43C2×C4semidirect
124. #95×C43C23semidirect
140. C23×D43C4⋊C4semidirect
165. C22×C4×C43C22×C4semidirect
182. C22×Dic43C22×C4semidirect
205. C2×C4×D43C22×C4semidirect
209. C22⋊C4×C43C22×C4semidirect
211. C22⋊Dic43C22×C4semidirect
214. (C2×D43)⋊C4C22×C4semidirect
224. C23×C43C2×C4⋊C4semidirect
246. C22×D43C2×C4⋊C4semidirect
247. C22×D43C2×C4⋊C4semidirect
273. C2×C4×C43C23×C4semidirect
288. C2×Dic43C23×C4semidirect
302. C22×C43C22×C4⋊C4semidirect
318. C2×D43#385direct (N × H)
320. C2×D43C22×C4⋊C4semidirect
343. C2×#385D43direct (N × H)
346. C2×C43C2×#385semidirect
353. D43C2×#385direct (N × H)
370. C22×C4⋊C4C2×D43semidirect
387. #385C2×D43direct (N × H)
392. C2×#95C2×D43semidirect
393. C43C22×#385semidirect
446. C2×C4⋊C4C22×D43semidirect
460. C2×C22⋊C4C4×D43semidirect
466. #95C22×D43semidirect
543. C22×C4C2×C4×D43semidirect
559. C22⋊C4C2×C4×D43semidirect
592. C23C4⋊C4×D43semidirect
635. C2×C4C22×C4×D43semidirect
656. C22C2×C4⋊C4×D43semidirect
677. C2#385×D43direct (N × H)

Maximal subgroups

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

subgroupindex
C24×C4×D432
C22×C4⋊C4×D432
C22×C22⋊C4×D432
C2×#145827742
C2×#145827732
C2×#145827722
C2×#145827712
C2×#145827702
#385×D432
C2×#95×D432
C2×C43×#3852
C22×#38543