Finite Group Databasebeta

← C2×#19135005 #25098213

Subgroups — C2×#19135005 #25098213

Order 11008.

2102 conjugacy classes of subgroups.

The subgroup lattice has 730 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#13063308C211yesmaximal, characteristic
2C2×#14583372C211yesmaximal, characteristic
3C22×#13063239C211yesmaximal, characteristic
4C2×#14582762C211yesmaximal, characteristic, complemented
5#19135005C218yesmaximal, direct product factor
6C2×#14582666C211yesmaximal, characteristic, complemented
7C2×#14582665C211yesmaximal, characteristic, complemented
8C2×C43×#381C211yesmaximal, characteristic, complemented
9C23×C22⋊D43C2211yescharacteristic
10C2×#13063308—24no—
11C2×#13063308—22no—
12C2×#13063308C418yescomplemented
13C2×#13063308C2214yes—
14#14583372—22no—
15#14583372—22no—
16#14583372—22no—
17#14583372C2214yes—
18C2×C4×C22⋊D43—22no—
19C2×(C22⋊D43)⋊C4—22no—
20C2×#13063281—21no—
21C22×Dic43⋊C4—21no—
22C22×C22⋊Dic43C2211yescharacteristic
23C22×C22⋊Dic43C2211yescharacteristic
24C22×C22⋊Dic43C2211yescharacteristic
25C22×(C2×D43)⋊C4—21no—
26C2×C22⋊C4×D43—21no—
27C2×#13063239—24no—
28C2×#13063239C2214yes—
29#14582762—22no—
30#14582762C2214yescomplemented
31C2×C43⋊#95—22no—
32#14582666C2214yescomplemented
33#14582665C2214yescomplemented
34C24×C4×C43C2211yescharacteristic
35C22×C22⋊C4×C43C2211yescharacteristic
36C22×C22⋊C4×C43C2211yescharacteristic
37C43×#381—22no—
38C43×#381C2214yescomplemented
39C2×#95×C43—22no—
40C24×D43D411yescharacteristic
41C22×C22⋊D43—21no—
42C22×C22⋊D43—21no—
43C22×C22⋊D43—21no—
44C22×C22⋊D43—21no—
45C22×C22⋊D43—22no—
46C22×C22⋊D43—22no—
47C22×C22⋊D43C2×C414yes—
48C22×C22⋊D43D414yes—
49C22×C22⋊D43D412yes—
50C22×C22⋊D43C2312yes—
51C23×Dic43—21no—
52C23×Dic43—21no—
53C23×Dic43D411yescharacteristic
54C23×Dic43D412yes—
55C22×C4×D43—22no—
56#13063308—216no—
57#13063308—28no—
58#13063308C2×C4116yescomplemented
59C4×C22⋊D43—28no—
60C4×C22⋊D43—28no—
61(C22⋊D43)⋊C4—28no—
62(C22⋊D43)⋊C4—28no—
63#13063281—24no—
64#13063281—24no—
65C2×Dic43⋊C4—22no—
66C2×Dic43⋊C4—28no—
67C2×Dic43⋊C4—24no—
68C2×C22⋊Dic43—21no—
69C2×C22⋊Dic43—21no—
70C2×C22⋊Dic43—21no—
71C2×C22⋊Dic43—21no—
72C2×C22⋊Dic43—21no—
73C2×C22⋊Dic43—22no—
74C2×C22⋊Dic43—22no—
75C2×C22⋊Dic43—22no—
76C2×C22⋊Dic43—21no—
77C2×C22⋊Dic43C2×C414yescomplemented
78C2×C22⋊Dic43D412yes—
79C2×C22⋊Dic43C2312yes—
80C2×C22⋊Dic43C2312yes—
81C2×C22⋊Dic43C2312yes—
82C2×(C2×D43)⋊C4—22no—
83C2×(C2×D43)⋊C4—28no—
84C2×(C2×D43)⋊C4—24no—
85C22⋊C4×D43—24no—
86C22⋊C4×D43—24no—
87C2×C4×Dic43—22no—
88#13063239—28no—
89C43⋊#95—28no—
90C25×C43C2311yescharacteristic
91C23×C4×C43—21no—
92C23×C4×C43—22no—
93C23×C4×C43—21no—
94C23×C4×C43—21no—
95C23×C4×C43—21no—
96C23×C4×C43—21no—
97C23×C4×C43—21no—
98C23×C4×C43—22no—
99C23×C4×C43—22no—
100C23×C4×C43—21no—
101C23×C4×C43C2×C414yescomplemented
102C23×C4×C43D412yes—
103C23×C4×C43C2312yes—
104C2×C22⋊C4×C43—21no—
105C2×C22⋊C4×C43—21no—
106C2×C22⋊C4×C43—21no—
107C2×C22⋊C4×C43—21no—
108C2×C22⋊C4×C43—22no—
109C2×C22⋊C4×C43—22no—
110C2×C22⋊C4×C43—21no—
111C2×C22⋊C4×C43D412yes—
112C2×C22⋊C4×C43C2312yes—
113C2×C22⋊C4×C43C2312yes—
114#95×C43—28no—
115C24×C43—44no—
116C24×C43C22×C412yes—
117C24×C43C2×D411yescharacteristic
118C24×C43C2×D411yescharacteristic
119C24×C43C2×D411yescharacteristic
120C24×C43C2×D411yescharacteristic
121C24×C43C2×D412yes—
122C24×C43C2×D411yescharacteristic
123C24×C43C2×D411yescharacteristic
124C24×C43#4112yes—
125C24×C43#4112yes—
126C24×C43C2411yescharacteristic
127C23×D43—21no—
128C23×D43—21no—
129C23×D43—22no—
130C23×D43—44no—
131C23×D43C22⋊C414yes—
132C23×D43C2×D412yes—
133C22×C4×C43—24no—
134C22×C4×C43—24no—
135C22×C4×C43—24no—
136C22×C4×C43—24no—
137C22×C4×C43—24no—
138C22×C4×C43—24no—
139C22×C4×C43—22no—
140C22×C4×C43—22no—
141C22×C4×C43—22no—
142C22×C4×C43—22no—
143C22×C4×C43—22no—
144C22×C4×C43—22no—
145C22×C4×C43—22no—
146C22×C4×C43—22no—
147C22×C4×C43—22no—
148C22×C4×C43—44no—
149C22×C4×C43—44no—
150C22×C4×C43—41no—
151C22×C4×C43—41no—
152C22×C4×C43—41no—
153C22×C4×C43—41no—
154C22×C4×C43—42no—
155C22×C4×C43—42no—
156C22×C4×C43—42no—
157C22×C4×C43—42no—
158C22×C4×C43—42no—
159C22×C4×C43—42no—
160C22×C4×C43—42no—
161C22×C4×C43C22×C414yescomplemented
162C22×C4×C43C2×D414yes—
163C2×C22⋊D43—24no—
164C2×C22⋊D43—24no—
165C2×C22⋊D43—24no—
166C2×C22⋊D43—24no—
167C2×C22⋊D43—22no—
168C2×C22⋊D43—22no—
169C2×C22⋊D43—24no—
170C2×C22⋊D43—24no—
171C2×C22⋊D43—24no—
172C2×C22⋊D43—24no—
173C2×C22⋊D43—24no—
174C2×C22⋊D43—22no—
175C2×C22⋊D43—22no—
176C2×C22⋊D43—22no—
177C2×C22⋊D43—22no—
178C2×C22⋊D43C22⋊C418yes—
179C2×C22⋊D43C22×C414yes—
180C2×C22⋊D43C2×D414yes—
181C22×Dic43—24no—
182C22×Dic43—21no—
183C22×Dic43—21no—
184C22×Dic43—22no—
185C22×Dic43—22no—
186C22×Dic43—22no—
187C22×Dic43—22no—
188C22×Dic43—22no—
189C22×Dic43—44no—
190C22×Dic43—44no—
191C22×Dic43—44no—
192C22×Dic43—42no—
193C22×Dic43C22⋊C414yes—
194C22×Dic43C2×D412yes—
195C22×Dic43C2×D414yes—
196C2×C4×D43—28no—
197C2×C4×D43—84no—
198C22⋊C4×C43—22no—
199C22⋊C4×C43—22no—
200C22⋊C4×C43—22no—
201C22⋊C4×C43—22no—
202C22⋊C4×C43—22no—
203C22⋊C4×C43—22no—
204C22⋊C4×C43—42no—
205C22⋊Dic43—24no—
206C22⋊Dic43—22no—
207C22⋊Dic43—22no—
208C22⋊Dic43—22no—
209C22⋊Dic43—22no—
210C22⋊Dic43—22no—
211C22⋊Dic43—22no—
212C22⋊Dic43—22no—
213C22⋊Dic43—42no—
214C22⋊Dic43C22×C414yescomplemented
215(C2×D43)⋊C4—28no—
216(C2×D43)⋊C4—216no—
217Dic43⋊C4—28no—
218Dic43⋊C4—216no—
219C4×Dic43—28no—
220C23×C43—24no—
221C23×C43—24no—
222C23×C43—24no—
223C23×C43—44no—
224C23×C43—44no—
225C23×C43—42no—
226C23×C43—42no—
227C23×C43—42no—
228C23×C43—44no—
229C23×C43—44no—
230C23×C43—42no—
231C23×C43C2×C22⋊C412yes—
232C23×C43C2×C22⋊C412yes—
233C23×C43C4×D412yes—
234C23×C43C4×D412yes—
235C23×C43C4×D412yes—
236C23×C43C4×D412yes—
237C23×C43#12011yescharacteristic
238C23×C43#12011yescharacteristic
239C23×C43#12011yescharacteristic
240C23×C43#12011yescharacteristic
241C23×C43#12112yes—
242C23×C43#12112yes—
243C23×C43#12112yes—
244C23×C43#12112yes—
245C23×C43#12312yes—
246C23×C43#12312yes—
247C23×C43C23×C411yescharacteristic
248C23×C43C22×D411yescharacteristic
249C23×C43C22×D411yescharacteristic
250C23×C43C22×D411yescharacteristic
251C23×C43C22×D411yescharacteristic
252C23×C43C2×#4111yescharacteristic
253C23×C43C2×#4111yescharacteristic
254C22×D43—22no—
255C22×D43—24no—
256C22×D43—22no—
257C22×D43—24no—
258C22×D43—44no—
259C22×D43—48no—
260C22×D43—44no—
261C22×D43—84no—
262C22×D43—82no—
263C22×D43C2×C22⋊C414yes—
264C2×C4×C43—24no—
265C2×C4×C43—24no—
266C2×C4×C43—24no—
267C2×C4×C43—24no—
268C2×C4×C43—42no—
269C2×C4×C43—42no—
270C2×C4×C43—42no—
271C2×C4×C43—42no—
272C2×C4×C43—44no—
273C2×C4×C43—44no—
274C2×C4×C43—44no—
275C2×C4×C43—44no—
276C2×C4×C43—44no—
277C2×C4×C43—44no—
278C2×C4×C43—44no—
279C2×C4×C43—42no—
280C2×C4×C43—82no—
281C2×C4×C43—84no—
282C22⋊D43—24no—
283C22⋊D43—24no—
284C22⋊D43—24no—
285C22⋊D43—24no—
286C22⋊D43—28no—
287C22⋊D43—28no—
288C2×Dic43—22no—
289C2×Dic43—22no—
290C2×Dic43—24no—
291C2×Dic43—24no—
292C2×Dic43—24no—
293C2×Dic43—24no—
294C2×Dic43—48no—
295C2×Dic43—44no—
296C2×Dic43—44no—
297C2×Dic43—44no—
298C2×Dic43—44no—
299C2×Dic43—42no—
300C2×Dic43—82no—
301C2×Dic43—84no—
302C2×Dic43C2×C22⋊C414yes—
303C4×D43—88no—
304C2×#1890—431nomaximal, Sylow
305C22×C43—24no—
306C22×C43—24no—
307C22×C43—24no—
308C22×C43—24no—
309C22×C43—24no—
310C22×C43—24no—
311C22×C43—22no—
312C22×C43—22no—
313C22×C43—22no—
314C22×C43—22no—
315C22×C43—22no—
316C22×C43—22no—
317C22×C43—42no—
318C22×C43—42no—
319C22×C43—42no—
320C22×C43—42no—
321C22×C43—42no—
322C22×C43—42no—
323C22×C43—41no—
324C22×C43—41no—
325C22×C43—41no—
326C22×C43—41no—
327C22×C43#38612yes—
328C22×C43#38612yes—
329C22×C43#38612yes—
330C22×C43#38612yes—
331C22×C43#45814yes—
332C22×C43C22×C22⋊C411yescharacteristic
333C22×C43C2×C4×D411yescharacteristic
334C22×C43C2×C4×D411yescharacteristic
335C22×C43C2×#12011yescharacteristic
336C22×C43C2×#12111yescharacteristic
337C22×C43C2×#12111yescharacteristic
338C22×C43C2×#12311yescharacteristic
339C2×D43—24no—
340C2×D43—48no—
341C2×D43—44no—
342C2×D43—44no—
343C2×D43—82no—
344C2×D43—84no—
345C4×C43—44no—
346C4×C43—44no—
347C4×C43—82no—
348Dic43—24no—
349Dic43—44no—
350Dic43—44no—
351Dic43—82no—
352C22×#123—431no—
353C2×#518—431no—
354C22×#99—431no—
355C2×#381—431no—
356C2×#381D4311yescharacteristic, complemented
357#1890—438no—
358C2×#342—431no—
359C2×#342—431no—
360C2×C43—21no—
361C2×C43—21no—
362C2×C43—21no—
363C2×C43—21no—
364C2×C43—22no—
365C2×C43—21no—
366C2×C43—21no—
367C2×C43—22no—
368C2×C43—22no—
369C2×C43#189014yescomplemented
370C2×C43C2×#38611yescharacteristic
371C2×C43C2×#45812yes—
372D43—44no—
373C23×D4—431no—
374C24×C4C2×D4311yescharacteristic
375C2×#123—434no—
376C2×#123—438no—
377C2×#123—862no—
378C2×#123—864no—
379#518—434no—
380#518—862no—
381#518—862no—
382#518—862no—
383C2×C4×D4—862no—
384C2×C4×D4—862no—
385C2×#117—861no—
386C22×C4⋊C4—861no—
387C22×C22⋊C4—431no—
388C22×C22⋊C4—431no—
389C22×C22⋊C4—431no—
390C22×C22⋊C4—861no—
391C22×C22⋊C4—861no—
392C22×C22⋊C4C2×D4311yescharacteristic
393C22×C22⋊C4C2×D4311yescharacteristic
394C2×#99—434no—
395C2×#99—864no—
396#381—22no—
397#381—434no—
398#381—862no—
399#381C2×D4314yescomplemented
400C2×#95—22no—
401C2×#95—862no—
402#342—434no—
403#342—434no—
404C43C2×#189011yescharacteristic, complemented, Sylow
405C25—431no—
406C25C22×D4311yescharacteristic
407C22×D4—434no—
408C22×D4—432no—
409C22×D4—434no—
410C22×D4—432no—
411C22×D4—862no—
412C22×D4—861no—
413C22×D4—861no—
414C22×D4—862no—
415C22×D4—861no—
416C22×D4—861no—
417C23×C4—22no—
418C23×C4—21no—
419C23×C4—22no—
420C23×C4—21no—
421C23×C4—21no—
422C23×C4—21no—
423C23×C4—22no—
424C23×C4—21no—
425C23×C4—21no—
426C23×C4—21no—
427C23×C4—431no—
428C23×C4—432no—
429C23×C4—862no—
430C23×C4—861no—
431C23×C4—861no—
432C23×C4C4×D4314yescomplemented
433C23×C4C22⋊D4312yes—
434C23×C4C22×D4312yes—
435#123—4316no—
436#123—8616no—
437#123—868no—
438C4×D4—868no—
439C4×D4—868no—
440C4×D4—868no—
441C4×D4—868no—
442#117—864no—
443#117—864no—
444C2×C4⋊C4—868no—
445C2×C4⋊C4—864no—
446C2×C4⋊C4—862no—
447C2×C22⋊C4—21no—
448C2×C22⋊C4—21no—
449C2×C22⋊C4—21no—
450C2×C22⋊C4—21no—
451C2×C22⋊C4—22no—
452C2×C22⋊C4—22no—
453C2×C22⋊C4—21no—
454C2×C22⋊C4—434no—
455C2×C22⋊C4—432no—
456C2×C22⋊C4—432no—
457C2×C22⋊C4—432no—
458C2×C22⋊C4—432no—
459C2×C22⋊C4—864no—
460C2×C22⋊C4—864no—
461C2×C22⋊C4—868no—
462C2×C22⋊C4—864no—
463C2×C22⋊C4—862no—
464C2×C22⋊C4—861no—
465C2×C22⋊C4—861no—
466C2×C22⋊C4—861no—
467C2×C22⋊C4—862no—
468C2×C22⋊C4—861no—
469C2×C22⋊C4—861no—
470C2×C22⋊C4—862no—
471C2×C22⋊C4—862no—
472C2×C22⋊C4—861no—
473C2×C22⋊C4C22⋊D4312yes—
474C2×C22⋊C4C22×D4312yes—
475C2×C22⋊C4C22×D4312yes—
476C2×C42—862no—
477#99—868no—
478#95—28no—
479#95—868no—
480C24—44no—
481C24—434no—
482C24—432no—
483C24—861no—
484C24—862no—
485C24—861no—
486C24—1724no—
487C24C2×C4×D4312yes—
488C24#1062189812yes—
489C24D4×D4311yescharacteristic
490C24D4×D4311yescharacteristic
491C24D4×D4311yescharacteristic
492C24D4×D4312yes—
493C24D4×D4311yescharacteristic
494C24#1062190012yes—
495C24C2×C22⋊D4311yescharacteristic
496C24C2×C22⋊D4311yescharacteristic
497C24C23×D4311yescharacteristic
498C2×D4—438no—
499C2×D4—434no—
500C2×D4—434no—
501C2×D4—864no—
502C2×D4—864no—
503C2×D4—864no—
504C2×D4—864no—
505C2×D4—862no—
506C2×D4—862no—
507C2×D4—864no—
508C2×D4—864no—
509C2×D4—864no—
510C2×D4—864no—
511C2×D4—864no—
512C2×D4—862no—
513C2×D4—862no—
514C2×D4—862no—
515C2×D4—862no—
516C22×C4—24no—
517C22×C4—24no—
518C22×C4—24no—
519C22×C4—24no—
520C22×C4—24no—
521C22×C4—24no—
522C22×C4—22no—
523C22×C4—22no—
524C22×C4—22no—
525C22×C4—22no—
526C22×C4—22no—
527C22×C4—22no—
528C22×C4—22no—
529C22×C4—22no—
530C22×C4—22no—
531C22×C4—41no—
532C22×C4—41no—
533C22×C4—41no—
534C22×C4—41no—
535C22×C4—42no—
536C22×C4—42no—
537C22×C4—42no—
538C22×C4—42no—
539C22×C4—42no—
540C22×C4—42no—
541C22×C4—44no—
542C22×C4—44no—
543C22×C4—42no—
544C22×C4—434no—
545C22×C4—432no—
546C22×C4—434no—
547C22×C4—868no—
548C22×C4—861no—
549C22×C4—861no—
550C22×C4—862no—
551C22×C4—862no—
552C22×C4—864no—
553C22×C4—862no—
554C22×C4—862no—
555C22×C4—862no—
556C22×C4—3444no—
557C22×C4—1724no—
558C22×C4—1722no—
559C22×C4—1724no—
560C22×C4—1724no—
561C22×C4C2×C4×D4314yescomplemented
562C22×C4C2×C22⋊D4314yes—
563C4⋊C4—8616no—
564C4⋊C4—868no—
565C22⋊C4—22no—
566C22⋊C4—22no—
567C22⋊C4—22no—
568C22⋊C4—22no—
569C22⋊C4—22no—
570C22⋊C4—22no—
571C22⋊C4—42no—
572C22⋊C4—434no—
573C22⋊C4—8616no—
574C22⋊C4—868no—
575C22⋊C4—864no—
576C22⋊C4—862no—
577C22⋊C4—862no—
578C22⋊C4—862no—
579C22⋊C4—862no—
580C22⋊C4—862no—
581C22⋊C4—862no—
582C22⋊C4—862no—
583C22⋊C4—1722no—
584C42—868no—
585C23—24no—
586C23—24no—
587C23—24no—
588C23—44no—
589C23—44no—
590C23—44no—
591C23—42no—
592C23—42no—
593C23—44no—
594C23—42no—
595C23—42no—
596C23—434no—
597C23—862no—
598C23—864no—
599C23—862no—
600C23—864no—
601C23—3444no—
602C23—3442no—
603C23—1728no—
604C23—1724no—
605C23—1724no—
606C23C22⋊C4×D4312yes—
607C23C22⋊C4×D4312yes—
608C23(C22⋊D43)⋊C412yes—
609C23(C22⋊D43)⋊C412yes—
610C23C4×C22⋊D4312yes—
611C23C4×C22⋊D4312yes—
612C23#1306329311yescharacteristic
613C23#1306329311yescharacteristic
614C23#1306329311yescharacteristic
615C23#1306329311yescharacteristic
616C23#1306329612yes—
617C23#1306329612yes—
618C23#1306329812yes—
619C23#1306329812yes—
620C23#1306330712yes—
621C23#1306330712yes—
622C23C22×C4×D4311yescharacteristic
623C23C2×D4×D4311yescharacteristic
624C23C2×D4×D4311yescharacteristic
625C23C2×D4×D4311yescharacteristic
626C23C22×C22⋊D4311yescharacteristic
627C23C2×#1062190011yescharacteristic
628C23C2×#1062189811yescharacteristic
629D4—864no—
630D4—864no—
631D4—864no—
632D4—864no—
633D4—868no—
634D4—868no—
635C2×C4—24no—
636C2×C4—24no—
637C2×C4—24no—
638C2×C4—24no—
639C2×C4—44no—
640C2×C4—42no—
641C2×C4—42no—
642C2×C4—42no—
643C2×C4—42no—
644C2×C4—44no—
645C2×C4—44no—
646C2×C4—44no—
647C2×C4—44no—
648C2×C4—44no—
649C2×C4—44no—
650C2×C4—42no—
651C2×C4—82no—
652C2×C4—84no—
653C2×C4—434no—
654C2×C4—862no—
655C2×C4—862no—
656C2×C4—864no—
657C2×C4—864no—
658C2×C4—864no—
659C2×C4—864no—
660C2×C4—3448no—
661C2×C4—3444no—
662C2×C4—3442no—
663C2×C4—1724no—
664C2×C4—1722no—
665C2×C4—1728no—
666C2×C4—1724no—
667C2×C4—1724no—
668C2×C4—1724no—
669C22—24no—
670C22—24no—
671C22—24no—
672C22—24no—
673C22—24no—
674C22—24no—
675C22—22no—
676C22—22no—
677C22—22no—
678C22—22no—
679C22—22no—
680C22—22no—
681C22—42no—
682C22—42no—
683C22—42no—
684C22—42no—
685C22—42no—
686C22—42no—
687C22—41no—
688C22—41no—
689C22—41no—
690C22—41no—
691C22—864no—
692C22—3442no—
693C22—3444no—
694C22—1724no—
695C22—1728no—
696C22—1724no—
697C22#1458277512yes—
698C22#1458277512yes—
699C22#1458277512yes—
700C22#1458277512yes—
701C22#1458308814yes—
702C22C2×C22⋊C4×D4311yescharacteristic
703C22C2×(C22⋊D43)⋊C411yescharacteristic
704C22C2×C4×C22⋊D4311yescharacteristic
705C22C2×#1306329311yescharacteristic
706C22C2×#1306329611yescharacteristic
707C22C2×#1306329811yescharacteristic
708C22C2×#1306330711yescharacteristic
709C4—44no—
710C4—44no—
711C4—82no—
712C4—864no—
713C4—3442no—
714C4—1724no—
715C4—1724no—
716C2—21no—
717C2—21no—
718C2—21no—
719C2—21no—
720C2—22no—
721C2—21no—
722C2—21no—
723C2—22no—
724C2—22no—
725C2—1724no—
726C2#1913500514yesdirect product factor
727C2C2×#1458277511yescharacteristic
728C2C2×#1458308812yes—
subgroupG/H
centerC23#13063293
commutatorC23×C43C23×C4
FrattiniC24C23×D43
FittingC2×C43×#381C2
socleC23×C43#120
prime radicalC23×C22⋊D43C22
cosocleC24×C43C24
hypercenterC2×#381D43
hypocenterC43C2×#1890
LCSG ▷ C23×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C23 ◁ C25 ◁ C2×#381

Complements

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

NH ≅ G/Ntype
4. C2×#14582762C2semidirect
5. #19135005C2direct (N × H)
6. C2×#14582666C2semidirect
7. C2×#14582665C2semidirect
8. C2×C43×#381C2semidirect
12. C2×#13063308C4semidirect
30. #14582762C22semidirect
32. #14582666C22semidirect
33. #14582665C22semidirect
38. C43×#381C22semidirect
58. #13063308C2×C4semidirect
77. C2×C22⋊Dic43C2×C4semidirect
101. C23×C4×C43C2×C4semidirect
161. C22×C4×C43C22×C4semidirect
214. C22⋊Dic43C22×C4semidirect
356. C2×#381D43semidirect
369. C2×C43#1890semidirect
399. #381C2×D43semidirect
404. C43C2×#1890semidirect
432. C23×C4C4×D43semidirect
561. C22×C4C2×C4×D43semidirect
726. C2#19135005direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#130633082
C2×#145833722
C22×#130632392
C2×#145827622
#191350052
C2×#145826662
C2×#145826652
C2×C43×#3812
C2×#189043