Finite Group Databasebeta

← C2×#19138980 #25265559

Subgroups — C2×#19138980 #25265559

Order 11008.

2398 conjugacy classes of subgroups.

The subgroup lattice has 708 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19138980C2116yesmaximal, direct product factor
2C2×C43⋊#401C211yesmaximal, characteristic, complemented
3C2×#14582841C211yesmaximal, characteristic, complemented
4C2×#14582840C211yesmaximal, characteristic, complemented
5C2×#14582839C211yesmaximal, characteristic, complemented
6C2×#14582786C211yesmaximal, characteristic, complemented
7C2×#14582784C211yesmaximal, characteristic, complemented
8C2×#14582781C211yesmaximal, characteristic, complemented
9C2×#14582772C211yesmaximal, characteristic
10C2×#14582772C211yesmaximal, characteristic
11C2×#14582766C211yesmaximal, characteristic, complemented
12C2×#14582762C211yesmaximal, characteristic
13C2×#14582762C211yesmaximal, characteristic
14C2×#14582759C211yesmaximal, characteristic
15C2×C4×C22⋊Dic43C211yesmaximal, characteristic
16C22×#95×C43C211yesmaximal, characteristic
17C22×C4⋊Dic43C2211yescharacteristic
18C22×C4⋊Dic43C2211yescharacteristic
19C22×Dic43⋊C4C2211yescharacteristic
20C22×Dic43⋊C4C2211yescharacteristic
21C22×Dic43⋊C4C2211yescharacteristic
22C22×Dic43⋊C4C2211yescharacteristic
23C22×C22⋊Dic43C2211yescharacteristic
24C22×C22⋊Dic43C2211yescharacteristic
25C22×C22⋊Dic43C2211yescharacteristic
26C22×C22⋊Dic43C2211yescharacteristic
27C22×C4×Dic43C2211yescharacteristic
28C22×C4×Dic43C2211yescharacteristic
29C43⋊#401C2218yescomplemented
30#14582841C2218yescomplemented
31#14582840C2218yescomplemented
32#14582839C2218yescomplemented
33#14582786C2218yescomplemented
34#14582784C2218yescomplemented
35#14582781C2218yescomplemented
36#14582772C2218yes—
37#14582772C2218yes—
38#14582766C2218yescomplemented
39#14582762C2218yes—
40#14582762C2218yes—
41#14582759C2218yes—
42C4×C22⋊Dic43C2218yes—
43C2×C43⋊#95C2211yescharacteristic
44C2×C43⋊#95C2211yescharacteristic
45C2×C43⋊#95C2211yescharacteristic
46C2×C43⋊#95C2211yescharacteristic
47C2×C43⋊#95C2211yescharacteristic
48C2×C43⋊#95C2211yescharacteristic
49C2×C43⋊#95C2211yescharacteristic
50C2×C43⋊#95C2211yescharacteristic
51C2×C43⋊#95C2211yescharacteristic
52C2×C43⋊#95C2211yescharacteristic
53C2×C43⋊#95C2211yescharacteristic
54C2×C43⋊#95C2211yescharacteristic
55C2×C43⋊#95C2211yescharacteristic
56C2×C43⋊#95C2211yescharacteristic
57C2×C43⋊#95C2211yescharacteristic
58C2×C43⋊#95C2211yescharacteristic
59C24×C4×C43C2211yescharacteristic
60C24×C4×C43C2211yescharacteristic
61C24×C4×C43C2211yescharacteristic
62C2×#95×C43C2211yescharacteristic
63C2×#95×C43C2211yescharacteristic
64C2×#95×C43C2218yes—
65C2×#95×C43C2211yescharacteristic
66C2×#95×C43C2211yescharacteristic
67C23×Dic43C2311yescharacteristic
68C23×Dic43C2311yescharacteristic
69C23×Dic43C2311yescharacteristic
70C23×Dic43C2311yescharacteristic
71C23×Dic43C2311yescharacteristic
72C23×Dic43C2311yescharacteristic
73C23×Dic43C2311yescharacteristic
74C23×Dic43C2311yescharacteristic
75C2×C4⋊Dic43—24no—
76C2×C4⋊Dic43—42no—
77C2×C4⋊Dic43C2314yes—
78C2×C4⋊Dic43C2314yes—
79C2×Dic43⋊C4—24no—
80C2×Dic43⋊C4—24no—
81C2×Dic43⋊C4—42no—
82C2×Dic43⋊C4—42no—
83C2×Dic43⋊C4C2314yes—
84C2×Dic43⋊C4C2314yes—
85C2×Dic43⋊C4C2314yes—
86C2×Dic43⋊C4C2314yes—
87C2×C22⋊Dic43—24no—
88C2×C22⋊Dic43—24no—
89C2×C22⋊Dic43—24no—
90C2×C22⋊Dic43—24no—
91C2×C22⋊Dic43C2314yes—
92C2×C22⋊Dic43C2314yes—
93C2×C22⋊Dic43C2314yes—
94C2×C22⋊Dic43C2314yes—
95C2×C4×Dic43—24no—
96C2×C4×Dic43—42no—
97C2×C4×Dic43C2314yes—
98C2×C4×Dic43C2314yes—
99C43⋊#95C2314yes—
100C43⋊#95C2314yes—
101C43⋊#95C2314yes—
102C43⋊#95C2314yes—
103C43⋊#95C2314yes—
104C43⋊#95C2314yes—
105C43⋊#95C2314yes—
106C43⋊#95C2314yes—
107C43⋊#95C2314yes—
108C43⋊#95C2314yes—
109C43⋊#95C2314yes—
110C43⋊#95C2314yes—
111C43⋊#95C2314yes—
112C43⋊#95C2314yes—
113C43⋊#95C2314yes—
114C43⋊#95C2314yes—
115C25×C43C2311yescharacteristic
116C23×C4×C43—24no—
117C23×C4×C43—24no—
118C23×C4×C43—24no—
119C23×C4×C43—24no—
120C23×C4×C43—24no—
121C23×C4×C43—24no—
122C23×C4×C43—24no—
123C23×C4×C43—42no—
124C23×C4×C43—42no—
125C23×C4×C43C2311yescharacteristic
126C23×C4×C43C2311yescharacteristic
127C23×C4×C43C2311yescharacteristic
128C23×C4×C43C2311yescharacteristic
129C23×C4×C43C2314yes—
130C23×C4×C43C2314yes—
131C23×C4×C43C2314yes—
132C23×C4×C43C2311yescharacteristic
133C23×C4×C43C2311yescharacteristic
134#95×C43C2314yes—
135#95×C43C2314yes—
136#95×C43C2314yes—
137#95×C43C2314yes—
138C24×C43—22no—
139C24×C43—22no—
140C24×C43—22no—
141C24×C43—22no—
142C24×C43#4114yes—
143C24×C43#4114yes—
144C24×C43#4114yes—
145C24×C43C2412yes—
146C24×C43C2411yescharacteristic
147C22×C4×C43—28no—
148C22×C4×C43—28no—
149C22×C4×C43—22no—
150C22×C4×C43—22no—
151C22×C4×C43—28no—
152C22×C4×C43—28no—
153C22×C4×C43—28no—
154C22×C4×C43—28no—
155C22×C4×C43—22no—
156C22×C4×C43—22no—
157C22×C4×C43—22no—
158C22×C4×C43—22no—
159C22×C4×C43—22no—
160C22×C4×C43—22no—
161C22×C4×C43—28no—
162C22×C4×C43—22no—
163C22×C4×C43—22no—
164C22×C4×C43—22no—
165C22×C4×C43—22no—
166C22×C4×C43—22no—
167C22×C4×C43—22no—
168C22×C4×C43—22no—
169C22×C4×C43—22no—
170C22×C4×C43—44no—
171C22×C4×C43—44no—
172C22×C4×C43—416no—
173C22×C4×C43—416no—
174C22×C4×C43—416no—
175C22×C4×C43#4114yes—
176C22×C4×C43#4114yes—
177C22×C4×C43C2412yes—
178C22×C4×C43C2412yes—
179C22×C4×C43C2412yes—
180C22×C4×C43C2412yes—
181C22×C4×C43C2412yes—
182C22×C4×C43C2412yes—
183C22×Dic43—22no—
184C22×Dic43—22no—
185C22×Dic43—22no—
186C22×Dic43—22no—
187C22×Dic43—22no—
188C22×Dic43—22no—
189C22×Dic43—22no—
190C22×Dic43—22no—
191C22×Dic43—22no—
192C22×Dic43—22no—
193C22×Dic43—22no—
194C22×Dic43—22no—
195C22×Dic43—22no—
196C22×Dic43—22no—
197C22×Dic43—22no—
198C22×Dic43—22no—
199C22×Dic43—22no—
200C22×Dic43—22no—
201C22×Dic43—22no—
202C22×Dic43—22no—
203C22×Dic43—22no—
204C22×Dic43—22no—
205C22×Dic43—22no—
206C22×Dic43—22no—
207C22×Dic43C2412yes—
208C22×Dic43C2412yes—
209C22×Dic43C2412yes—
210C22×Dic43C2412yes—
211C22×Dic43C2412yes—
212C22×Dic43C2412yes—
213C22×Dic43C2412yes—
214C22×Dic43C2412yes—
215C22⋊Dic43—28no—
216C22⋊Dic43—28no—
217C22⋊Dic43—28no—
218C22⋊Dic43—28no—
219C4⋊Dic43—28no—
220C4⋊Dic43—44no—
221Dic43⋊C4—28no—
222Dic43⋊C4—28no—
223Dic43⋊C4—44no—
224Dic43⋊C4—44no—
225C4×Dic43—28no—
226C4×Dic43—44no—
227C23×C43—28no—
228C23×C43—28no—
229C23×C43—28no—
230C23×C43—28no—
231C23×C43—28no—
232C23×C43—28no—
233C23×C43—22no—
234C23×C43—22no—
235C23×C43—22no—
236C23×C43—22no—
237C23×C43#126116yes—
238C23×C43C2×#4114yes—
239C23×C43C2×#4114yes—
240C23×C43C2×#4112yes—
241C23×C43C2×#4112yes—
242C23×C43C2×#4114yes—
243C23×C43C2×#4112yes—
244C23×C43C2×#4112yes—
245C23×C43C2×#4112yes—
246C23×C43H(5,𝔽2)12yes—
247C23×C432−1+412yes—
248C23×C43C2511yescharacteristic
249C2×C4×C43—28no—
250C2×C4×C43—28no—
251C2×C4×C43—22no—
252C2×C4×C43—22no—
253C2×C4×C43—22no—
254C2×C4×C43—22no—
255C2×C4×C43—22no—
256C2×C4×C43—22no—
257C2×C4×C43—22no—
258C2×C4×C43—22no—
259C2×C4×C43—22no—
260C2×C4×C43—22no—
261C2×C4×C43—22no—
262C2×C4×C43—22no—
263C2×C4×C43—22no—
264C2×C4×C43—22no—
265C2×C4×C43—22no—
266C2×C4×C43—22no—
267C2×C4×C43—416no—
268C2×C4×C43—416no—
269C2×C4×C43—416no—
270C2×C4×C43—44no—
271C2×C4×C43—44no—
272C2×C4×C43—44no—
273C2×C4×C43—44no—
274C2×C4×C43C2×#4114yes—
275C2×C4×C43C2×#4114yes—
276C2×Dic43—22no—
277C2×Dic43—22no—
278C2×Dic43—22no—
279C2×Dic43—22no—
280C2×Dic43—22no—
281C2×Dic43—22no—
282C2×Dic43—22no—
283C2×Dic43—22no—
284C2×Dic43—22no—
285C2×Dic43—22no—
286C2×Dic43—22no—
287C2×Dic43—22no—
288C2×Dic43—22no—
289C2×Dic43—22no—
290C2×Dic43—22no—
291C2×Dic43—22no—
292C2×Dic43—22no—
293C2×Dic43—22no—
294C2×Dic43—22no—
295C2×Dic43—22no—
296C2×Dic43—22no—
297C2×Dic43—22no—
298C2×Dic43—22no—
299C2×Dic43—22no—
300C2×Dic43—44no—
301C2×Dic43—44no—
302C2×Dic43—44no—
303C2×Dic43—44no—
304C2×Dic43—44no—
305C2×Dic43—44no—
306C2×Dic43—44no—
307C2×Dic43—44no—
308C2×#2493—431nomaximal, Sylow
309C22×C43—24no—
310C22×C43—24no—
311C22×C43—24no—
312C22×C43—24no—
313C22×C43—24no—
314C22×C43—24no—
315C22×C43—232no—
316C22×C43C2×#12618yes—
317C22×C43C2×#12614yes—
318C22×C43#52914yes—
319C22×C43#53914yes—
320C22×C43#55114yes—
321C22×C43#55114yes—
322C22×C43#55214yes—
323C22×C43#55214yes—
324C22×C43C22×#4111yescharacteristic
325C22×C43C22×#4111yescharacteristic
326C22×C43C22×#4111yescharacteristic
327C22×C43C22×#4111yescharacteristic
328C22×C43C22×#4111yescharacteristic
329C22×C43C2×H(5,𝔽2)11yescharacteristic
330C22×C43C2×2−1+411yescharacteristic
331C4×C43—24no—
332C4×C43—24no—
333C4×C43—42no—
334C4×C43—42no—
335C4×C43—42no—
336C4×C43—42no—
337Dic43—42no—
338Dic43—42no—
339Dic43—42no—
340Dic43—42no—
341Dic43—42no—
342Dic43—42no—
343Dic43—42no—
344Dic43—42no—
345#2493—4316no—
346C2×#401—431no—
347C2×#400—431no—
348C2×#400—431no—
349C2×#400—431no—
350C2×#387—431no—
351C2×#387—431no—
352C2×#387—431no—
353C2×#385—431no—
354C2×#385—431no—
355C2×#383—431no—
356C2×#381—431no—
357C2×#381—431no—
358C2×#380—431no—
359C2×C4×C22⋊C4—431no—
360C22×#95D4311yescharacteristic
361C2×C43—28no—
362C2×C43#249318yescomplemented
363C2×C43C22×#12611yescharacteristic
364C2×C43C2×#52911yescharacteristic
365C2×C43C2×#53911yescharacteristic
366C2×C43C2×#55111yescharacteristic
367C2×C43C2×#55111yescharacteristic
368C2×C43C2×#55211yescharacteristic
369C2×C43C2×#55211yescharacteristic
370C24×C4C2×D4311yescharacteristic
371C24×C4C2×D4311yescharacteristic
372C24×C4C2×D4311yescharacteristic
373C22×C4⋊C4—431no—
374C22×C4⋊C4—431no—
375C22×C4⋊C4—431no—
376C22×C4⋊C4—431no—
377C22×C4⋊C4—431no—
378C22×C4⋊C4—431no—
379C22×C22⋊C4—431no—
380C22×C22⋊C4—431no—
381C22×C22⋊C4—431no—
382C22×C22⋊C4—431no—
383C22×C42—431no—
384C22×C42—431no—
385#401—438no—
386#400—438no—
387#400—438no—
388#400—438no—
389#387—438no—
390#387—438no—
391#387—438no—
392#385—438no—
393#385—438no—
394#383—438no—
395#381—438no—
396#381—438no—
397#380—438no—
398C4×C22⋊C4—438no—
399C2×#95—431no—
400C2×#95—431no—
401C2×#95—431no—
402C2×#95—431no—
403C2×#95—431no—
404C2×#95—431no—
405C2×#95—431no—
406C2×#95—431no—
407C2×#95—431no—
408C2×#95—431no—
409C2×#95—431no—
410C2×#95—431no—
411C2×#95—431no—
412C2×#95—431no—
413C2×#95—431no—
414C2×#95—431no—
415C2×#95C2×D4311yescharacteristic
416C2×#95C2×D4311yescharacteristic
417C2×#95C2×D4318yes—
418C2×#95C2×D4311yescharacteristic
419C2×#95C2×D4311yescharacteristic
420C43C2×#249311yescharacteristic, complemented, Sylow
421C25C22×D4311yescharacteristic
422C23×C4—24no—
423C23×C4—24no—
424C23×C4—24no—
425C23×C4—24no—
426C23×C4—24no—
427C23×C4—24no—
428C23×C4—24no—
429C23×C4—42no—
430C23×C4—42no—
431C23×C4—431no—
432C23×C4—431no—
433C23×C4—431no—
434C23×C4—431no—
435C23×C4—431no—
436C23×C4—431no—
437C23×C4—431no—
438C23×C4—431no—
439C23×C4C22×D4314yes—
440C23×C4C22×D4311yescharacteristic
441C23×C4C22×D4311yescharacteristic
442C23×C4C22×D4311yescharacteristic
443C23×C4C22×D4311yescharacteristic
444C23×C4C22×D4314yes—
445C23×C4C22×D4314yes—
446C23×C4C22×D4311yescharacteristic
447C23×C4C22×D4311yescharacteristic
448C2×C4⋊C4—434no—
449C2×C4⋊C4—434no—
450C2×C4⋊C4—434no—
451C2×C4⋊C4—434no—
452C2×C4⋊C4—434no—
453C2×C4⋊C4—434no—
454C2×C4⋊C4—864no—
455C2×C4⋊C4—864no—
456C2×C4⋊C4—864no—
457C2×C4⋊C4—1722no—
458C2×C4⋊C4—1722no—
459C2×C4⋊C4—1722no—
460C2×C22⋊C4—434no—
461C2×C22⋊C4—434no—
462C2×C22⋊C4—434no—
463C2×C22⋊C4—434no—
464C2×C22⋊C4—864no—
465C2×C22⋊C4—864no—
466C2×C22⋊C4—864no—
467C2×C22⋊C4—864no—
468C2×C42—434no—
469C2×C42—434no—
470C2×C42—864no—
471C2×C42—1722no—
472#95—434no—
473#95—434no—
474#95—434no—
475#95—434no—
476#95—434no—
477#95—434no—
478#95—434no—
479#95—434no—
480#95—434no—
481#95—434no—
482#95—434no—
483#95—434no—
484#95—434no—
485#95—434no—
486#95—434no—
487#95—434no—
488#95C22×D4314yes—
489#95C22×D4314yes—
490#95C22×D4314yes—
491#95C22×D4314yes—
492C24—22no—
493C24—22no—
494C24—22no—
495C24—22no—
496C24#1062189814yes—
497C24#1062190014yes—
498C24#1062190014yes—
499C24C23×D4312yes—
500C24C23×D4311yescharacteristic
501C22×C4—22no—
502C22×C4—22no—
503C22×C4—22no—
504C22×C4—22no—
505C22×C4—28no—
506C22×C4—28no—
507C22×C4—22no—
508C22×C4—22no—
509C22×C4—28no—
510C22×C4—28no—
511C22×C4—22no—
512C22×C4—22no—
513C22×C4—22no—
514C22×C4—22no—
515C22×C4—22no—
516C22×C4—22no—
517C22×C4—28no—
518C22×C4—22no—
519C22×C4—22no—
520C22×C4—22no—
521C22×C4—22no—
522C22×C4—28no—
523C22×C4—28no—
524C22×C4—44no—
525C22×C4—44no—
526C22×C4—416no—
527C22×C4—416no—
528C22×C4—416no—
529C22×C4—432no—
530C22×C4—432no—
531C22×C4—432no—
532C22×C4—432no—
533C22×C4—432no—
534C22×C4—432no—
535C22×C4—432no—
536C22×C4—432no—
537C22×C4—862no—
538C22×C4—862no—
539C22×C4—862no—
540C22×C4—862no—
541C22×C4—862no—
542C22×C4—862no—
543C22×C4—862no—
544C22×C4—862no—
545C22×C4—862no—
546C22×C4—862no—
547C22×C4—862no—
548C22×C4—862no—
549C22×C4—862no—
550C22×C4—862no—
551C22×C4—862no—
552C22×C4—862no—
553C22×C4—862no—
554C22×C4—862no—
555C22×C4—862no—
556C22×C4—862no—
557C22×C4—862no—
558C22×C4—862no—
559C22×C4—862no—
560C22×C4—862no—
561C22×C4#1062189814yes—
562C22×C4#1062189814yes—
563C22×C4C23×D4312yes—
564C22×C4C23×D4312yes—
565C22×C4C23×D4312yes—
566C22×C4C23×D4312yes—
567C22×C4C23×D4312yes—
568C22×C4C23×D4312yes—
569C4⋊C4—868no—
570C4⋊C4—868no—
571C4⋊C4—868no—
572C4⋊C4—1724no—
573C4⋊C4—1724no—
574C4⋊C4—1724no—
575C22⋊C4—868no—
576C22⋊C4—868no—
577C22⋊C4—868no—
578C22⋊C4—868no—
579C42—868no—
580C42—1724no—
581C23—28no—
582C23—28no—
583C23—28no—
584C23—28no—
585C23—28no—
586C23—22no—
587C23—22no—
588C23—22no—
589C23—22no—
590C23—28no—
591C23#13063318116yes—
592C23C2×#1062190014yes—
593C23C2×#1062190014yes—
594C23C2×#1062190012yes—
595C23C2×#1062190012yes—
596C23C2×#1062189814yes—
597C23C2×#1062189812yes—
598C23C2×#1062189812yes—
599C23C2×#1062189812yes—
600C23#1306337012yes—
601C23#1306337312yes—
602C23C24×D4311yescharacteristic
603C2×C4—28no—
604C2×C4—28no—
605C2×C4—22no—
606C2×C4—22no—
607C2×C4—22no—
608C2×C4—22no—
609C2×C4—22no—
610C2×C4—22no—
611C2×C4—22no—
612C2×C4—22no—
613C2×C4—22no—
614C2×C4—22no—
615C2×C4—22no—
616C2×C4—22no—
617C2×C4—22no—
618C2×C4—22no—
619C2×C4—22no—
620C2×C4—22no—
621C2×C4—416no—
622C2×C4—416no—
623C2×C4—44no—
624C2×C4—44no—
625C2×C4—416no—
626C2×C4—44no—
627C2×C4—44no—
628C2×C4—862no—
629C2×C4—862no—
630C2×C4—862no—
631C2×C4—862no—
632C2×C4—862no—
633C2×C4—862no—
634C2×C4—862no—
635C2×C4—862no—
636C2×C4—862no—
637C2×C4—862no—
638C2×C4—862no—
639C2×C4—862no—
640C2×C4—862no—
641C2×C4—862no—
642C2×C4—862no—
643C2×C4—862no—
644C2×C4—862no—
645C2×C4—862no—
646C2×C4—862no—
647C2×C4—862no—
648C2×C4—862no—
649C2×C4—862no—
650C2×C4—862no—
651C2×C4—862no—
652C2×C4—1724no—
653C2×C4—1724no—
654C2×C4—1724no—
655C2×C4—1724no—
656C2×C4—1724no—
657C2×C4—1724no—
658C2×C4—1724no—
659C2×C4—1724no—
660C2×C4C2×#1062189814yes—
661C2×C4C2×#1062189814yes—
662C22—24no—
663C22—24no—
664C22—24no—
665C22—24no—
666C22—24no—
667C22—232no—
668C22—24no—
669C22C2×#1306331818yes—
670C22C2×#1306331814yes—
671C22#1458343314yes—
672C22#1458349614yes—
673C22#1458357514yes—
674C22#1458357514yes—
675C22#1458358414yes—
676C22#1458358414yes—
677C22C22×#1062190011yescharacteristic
678C22C22×#1062190011yescharacteristic
679C22C22×#1062189811yescharacteristic
680C22C22×#1062189811yescharacteristic
681C22C22×#1062189811yescharacteristic
682C22C2×#1306337011yescharacteristic
683C22C2×#1306337311yescharacteristic
684C4—24no—
685C4—24no—
686C4—42no—
687C4—42no—
688C4—42no—
689C4—42no—
690C4—1722no—
691C4—1722no—
692C4—1722no—
693C4—1722no—
694C4—1722no—
695C4—1722no—
696C4—1722no—
697C4—1722no—
698C2—28no—
699C2#1913898018yesdirect product factor
700C2C22×#1306331811yescharacteristic
701C2C2×#1458343311yescharacteristic
702C2C2×#1458349611yescharacteristic
703C2C2×#1458357511yescharacteristic
704C2C2×#1458357511yescharacteristic
705C2C2×#1458358411yescharacteristic
706C2C2×#1458358411yescharacteristic
subgroupG/H
centerC24C23×D43
commutator, cosocleC23×C43C25
FrattiniC23C24×D43
FittingC22×#95×C43C2
socleC24×C43C24
prime radicalC25×C43C23
hypercenterC22×#95D43
hypocenterC43C2×#2493
LCSG ▷ C23×C43 ▷ C43
UCSC1 ◁ C24 ◁ C22×#95

Complements

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

NH ≅ G/Ntype
1. #19138980C2direct (N × H)
2. C2×C43⋊#401C2semidirect
3. C2×#14582841C2semidirect
4. C2×#14582840C2semidirect
5. C2×#14582839C2semidirect
6. C2×#14582786C2semidirect
7. C2×#14582784C2semidirect
8. C2×#14582781C2semidirect
11. C2×#14582766C2semidirect
29. C43⋊#401C22semidirect
30. #14582841C22semidirect
31. #14582840C22semidirect
32. #14582839C22semidirect
33. #14582786C22semidirect
34. #14582784C22semidirect
35. #14582781C22semidirect
38. #14582766C22semidirect
362. C2×C43#2493semidirect
420. C43C2×#2493semidirect
699. C2#19138980direct (N × H)

Maximal subgroups

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

subgroupindex
#191389802
C2×C43⋊#4012
C2×#145828412
C2×#145828402
C2×#145828392
C2×#145827862
C2×#145827842
C2×#145827812
C2×#145827722
C2×#145827662
C2×#145827622
C2×#145827592
C2×C4×C22⋊Dic432
C22×#95×C432
C2×#249343