Finite Group Databasebeta

← C2×#19134693 #25096423

Subgroups — C2×#19134693 #25096423

Order 11008.

1606 conjugacy classes of subgroups.

The subgroup lattice has 710 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#117×D43C211yesmaximal, characteristic
2C2×#14582862C211yesmaximal, characteristic
3C2×C4×(C2×D43)⋊C4C211yesmaximal, characteristic
4#19134693C218yesmaximal, direct product factor
5C2×#14582660C211yesmaximal, characteristic, complemented
6C2×#14582659C211yesmaximal, characteristic, complemented
7C2×#14582658C211yesmaximal, characteristic, complemented
8C2×C43×#339C211yesmaximal, characteristic, complemented
9C23×C4×D43C2211yescharacteristic
10C22×#10621877C2211yescharacteristic
11C2×#13063284C2211yescharacteristic
12C2×#13063283C411yescharacteristic, complemented
13C2×#13063283C411yescharacteristic, complemented
14C2×#13063282—21no—
15C2×#13063281—21no—
16#117×D43—22no—
17#117×D43—22no—
18#117×D43C414yescomplemented
19#117×D43C2214yes—
20C2×C4⋊C4×D43C411yescharacteristic, complemented
21C2×C4⋊C4×D43C411yescharacteristic, complemented
22C22×(C2×D43)⋊C4—21no—
23C2×C22⋊C4×D43—21no—
24C22×C4×Dic43C2211yescharacteristic
25C2×C42×D43—21no—
26#14582862—22no—
27#14582862C2214yes—
28C2×(C2×D43)⋊C8—21no—
29C2×(C2×D43)⋊C8—21no—
30C4×(C2×D43)⋊C4—22no—
31C4×(C2×D43)⋊C4C2214yes—
32C2×C43⋊#95—21no—
33#14582660C2214yescomplemented
34#14582659C2214yescomplemented
35#14582658C2214yescomplemented
36C22×M16×C43C2211yescharacteristic
37C2×#117×C43C2211yescharacteristic
38C22×C42×C43C2211yescharacteristic
39C43×#339C2214yescomplemented
40C24×D43D411yescharacteristic
41C23×Dic43—21no—
42C23×Dic43D411yescharacteristic
43C22×C4×D43—22no—
44C22×C4×D43—22no—
45C22×C4×D43—22no—
46C22×C4×D43—22no—
47C22×C4×D43—21no—
48C22×C4×D43—21no—
49C22×C4×D43C2×C411yescharacteristic
50C22×C4×D43C2×C412yes—
51C22×C4×D43C2×C411yescharacteristic
52C22×C4×D43D412yes—
53C22×C4×D43D411yescharacteristic
54C22×C4×D43D412yes—
55C22×C4×D43D411yescharacteristic
56C22×C4×D43C2312yes—
57C2×#10621877—21no—
58C2×#10621877—22no—
59C2×#10621877—22no—
60C2×#10621877C2312yes—
61C22×C43⋊C8—21no—
62#13063284—21no—
63#13063284—21no—
64#13063284C2×C412yes—
65#13063284C2312yes—
66#13063283—22no—
67#13063283—22no—
68#13063283C2×C414yescomplemented
69#13063283C2×C414yescomplemented
70#13063282—24no—
71#13063282—24no—
72#13063281—24no—
73#13063281—24no—
74C2×C4⋊Dic43C2×C411yescharacteristic
75C2×C4⋊Dic43C2×C411yescharacteristic
76C2×Dic43⋊C4—21no—
77C2×Dic43⋊C4—21no—
78C4⋊C4×D43—22no—
79C4⋊C4×D43—22no—
80C4⋊C4×D43C2×C414yescomplemented
81C4⋊C4×D43C2×C414yescomplemented
82C2×C22⋊Dic43—21no—
83C2×(C2×D43)⋊C4—28no—
84C2×(C2×D43)⋊C4—21no—
85C2×(C2×D43)⋊C4—21no—
86C2×(C2×D43)⋊C4—24no—
87C22⋊C4×D43—24no—
88C22⋊C4×D43—24no—
89C2×C4×Dic43—21no—
90C2×C4×Dic43—21no—
91C2×C4×Dic43—21no—
92C2×C4×Dic43—22no—
93C2×C4×Dic43—22no—
94C2×C4×Dic43—21no—
95C2×C4×Dic43C2312yes—
96C42×D43—24no—
97C42×D43—24no—
98(C2×D43)⋊C8—24no—
99(C2×D43)⋊C8—24no—
100C43⋊#95—24no—
101C23×C4×C43—21no—
102C23×C4×C43C2311yescharacteristic
103C2×M16×C43—21no—
104C2×M16×C43—22no—
105C2×M16×C43—22no—
106C2×M16×C43C2312yes—
107C22×C8×C43—21no—
108#117×C43—21no—
109#117×C43—21no—
110#117×C43C2×C412yes—
111#117×C43C2312yes—
112C2×C4⋊C4×C43C2×C411yescharacteristic
113C2×C4⋊C4×C43C2×C411yescharacteristic
114C2×C22⋊C4×C43—21no—
115C2×C42×C43—21no—
116C2×C42×C43—22no—
117C2×C42×C43—22no—
118C2×C42×C43—21no—
119C2×C42×C43C2312yes—
120C24×C43C2×D411yescharacteristic
121C23×D43—22no—
122C23×D43—22no—
123C23×D43—24no—
124C23×D43—42no—
125C23×D43C22⋊C411yescharacteristic
126C23×D43C22⋊C412yes—
127C23×D43C22⋊C411yescharacteristic
128C23×D43C2×D412yes—
129C22×C4×C43—24no—
130C22×C4×C43—21no—
131C22×C4×C43—21no—
132C22×C4×C43—22no—
133C22×C4×C43—42no—
134C22×C4×C43—42no—
135C22×C4×C43C22×C411yescharacteristic
136C22×C4×C43C22×C411yescharacteristic
137C22×C4×C43C2×D411yescharacteristic
138C22×C4×C43C2×D411yescharacteristic
139C22×C4×C43C2×D411yescharacteristic
140C22×C4×C43#4112yes—
141C22×C4×C43#4112yes—
142C22×C4×C43#4112yes—
143C22×C4×C43#4112yes—
144C22×C4×C43C2411yescharacteristic
145C22×Dic43—24no—
146C22×Dic43—21no—
147C22×Dic43—21no—
148C22×Dic43—22no—
149C22×Dic43—22no—
150C22×Dic43—22no—
151C22×Dic43—42no—
152C22×Dic43—42no—
153C22×Dic43C22⋊C411yescharacteristic
154C22×Dic43C22⋊C411yescharacteristic
155C22×Dic43C22⋊C412yes—
156C22×Dic43C2×D412yes—
157C2×C4×D43—22no—
158C2×C4×D43—22no—
159C2×C4×D43—24no—
160C2×C4×D43—22no—
161C2×C4×D43—24no—
162C2×C4×D43—22no—
163C2×C4×D43—22no—
164C2×C4×D43—22no—
165C2×C4×D43—24no—
166C2×C4×D43—24no—
167C2×C4×D43—22no—
168C2×C4×D43—24no—
169C2×C4×D43—22no—
170C2×C4×D43—24no—
171C2×C4×D43—22no—
172C2×C4×D43—22no—
173C2×C4×D43—22no—
174C2×C4×D43—22no—
175C2×C4×D43—24no—
176C2×C4×D43—24no—
177C2×C4×D43—44no—
178C2×C4×D43—44no—
179C2×C4×D43C22⋊C412yes—
180C2×C4×D43C22⋊C412yes—
181C2×C4×D43C22⋊C412yes—
182C2×C4×D43C22⋊C412yes—
183C2×C4×D43C22×C412yes—
184C2×C4×D43C22×C412yes—
185C2×C4×D43C2×D412yes—
186C2×C4×D43C2×D412yes—
187M16×C43—22no—
188M16×C43—22no—
189M16×C43—42no—
190C2×C8×C43—22no—
191C2×C8×C43—42no—
192C4⋊C4×C43—21no—
193C4⋊C4×C43—21no—
194C4⋊C4×C43C22×C412yes—
195C4⋊C4×C43C22×C412yes—
196C22⋊C4×C43—22no—
197C22⋊C4×C43—22no—
198C42×C43—22no—
199C42×C43—22no—
200C42×C43—22no—
201C42×C43—22no—
202C42×C43—42no—
203C22⋊Dic43—22no—
204C22⋊Dic43—22no—
205(C2×D43)⋊C4—216no—
206(C2×D43)⋊C4—24no—
207(C2×D43)⋊C4—24no—
208C4⋊Dic43—21no—
209C4⋊Dic43—21no—
210C4⋊Dic43C22×C412yes—
211C4⋊Dic43C22×C412yes—
212Dic43⋊C4—24no—
213Dic43⋊C4—24no—
214C4×Dic43—22no—
215C4×Dic43—22no—
216C4×Dic43—24no—
217C4×Dic43—24no—
218C4×Dic43—22no—
219C4×Dic43—22no—
220C4×Dic43—42no—
221#10621877—22no—
222#10621877—22no—
223#10621877—42no—
224C2×C43⋊C8—22no—
225C2×C43⋊C8—42no—
226C23×C43—22no—
227C23×C43—22no—
228C23×C43C2×C22⋊C411yescharacteristic
229C23×C43C2×C22⋊C411yescharacteristic
230C23×C43#12312yes—
231C23×C43#12312yes—
232C23×C43C22×D411yescharacteristic
233C22×D43—22no—
234C22×D43—22no—
235C22×D43—22no—
236C22×D43—22no—
237C22×D43—24no—
238C22×D43—22no—
239C22×D43—22no—
240C22×D43—22no—
241C22×D43—24no—
242C22×D43—24no—
243C22×D43—42no—
244C22×D43—42no—
245C22×D43—48no—
246C22×D43—48no—
247C22×D43#10414yes—
248C22×D43C2×C22⋊C412yes—
249C22×D43C2×C22⋊C412yes—
250C2×C4×C43—24no—
251C2×C4×C43—22no—
252C2×C4×C43—22no—
253C2×C4×C43—48no—
254C2×C4×C43—42no—
255C2×C4×C43—42no—
256C2×C4×C43—42no—
257C2×C4×C43—42no—
258C2×C4×C43C2×C22⋊C411yescharacteristic
259C2×C4×C43C2×C22⋊C411yescharacteristic
260C2×C4×C43#11712yes—
261C2×C4×C43#11712yes—
262C2×C4×C43#11712yes—
263C2×C4×C43#11712yes—
264C2×C4×C43#12312yes—
265C2×C4×C43#12312yes—
266C2×C4×C43#12312yes—
267C2×C4×C43#12312yes—
268C2×C4×C43#12312yes—
269C2×C4×C43#12312yes—
270C2×C4×C43C23×C411yescharacteristic
271C2×C4×C43C22×D411yescharacteristic
272C2×C4×C43C2×#4111yescharacteristic
273C2×C4×C43C2×#4111yescharacteristic
274C2×C4×C43C2×#4111yescharacteristic
275C2×C4×C43C2×#4111yescharacteristic
276C2×Dic43—22no—
277C2×Dic43—22no—
278C2×Dic43—24no—
279C2×Dic43—22no—
280C2×Dic43—22no—
281C2×Dic43—24no—
282C2×Dic43—22no—
283C2×Dic43—22no—
284C2×Dic43—48no—
285C2×Dic43—42no—
286C2×Dic43—42no—
287C2×Dic43—42no—
288C2×Dic43—42no—
289C2×Dic43C2×C22⋊C412yes—
290C2×Dic43C2×C22⋊C412yes—
291C4×D43—22no—
292C4×D43—22no—
293C4×D43—22no—
294C4×D43—22no—
295C4×D43—22no—
296C4×D43—22no—
297C4×D43—22no—
298C4×D43—22no—
299C4×D43—24no—
300C4×D43—24no—
301C4×D43—24no—
302C4×D43—24no—
303C4×D43—48no—
304C4×D43—48no—
305C8×C43—42no—
306C43⋊C8—42no—
307C2×#1826—431nomaximal, Sylow
308C22×C43—24no—
309C22×C43—24no—
310C22×C43—21no—
311C22×C43—21no—
312C22×C43—21no—
313C22×C43—21no—
314C22×C43#38112yes—
315C22×C43#38112yes—
316C22×C43C2×#10412yes—
317C22×C43#42112yes—
318C22×C43C22×C22⋊C411yescharacteristic
319C22×C43C2×#12311yescharacteristic
320C22×C43C2×#12311yescharacteristic
321C2×D43—28no—
322C2×D43—22no—
323C2×D43—22no—
324C2×D43—22no—
325C2×D43—22no—
326C2×D43—22no—
327C2×D43—44no—
328C2×D43—44no—
329C2×D43—48no—
330C2×D43—44no—
331C2×D43C2×#10414yes—
332C4×C43—44no—
333C4×C43—42no—
334C4×C43—42no—
335C4×C43#38112yes—
336C4×C43#38112yes—
337C4×C43C2×#11711yescharacteristic
338C4×C43C2×#11711yescharacteristic
339C4×C43C2×#12311yescharacteristic
340C4×C43C2×#12311yescharacteristic
341Dic43—22no—
342Dic43—22no—
343Dic43—44no—
344Dic43—42no—
345Dic43—42no—
346C22×#117—431no—
347C2×#407—431no—
348C2×C4×C22⋊C4—431no—
349#1826—438no—
350C2×#339—431no—
351C2×#339—431no—
352C2×#339—431no—
353C2×#339D4311yescharacteristic, complemented
354C2×C43—21no—
355C2×C43—21no—
356C2×C43—22no—
357C2×C43#182614yescomplemented
358C2×C43C2×#38111yescharacteristic
359C2×C43C22×#10411yescharacteristic
360C2×C43C2×#42111yescharacteristic
361D43—24no—
362D43—42no—
363C24×C4—431no—
364C22×M16—431no—
365C22×M16C2×D4311yescharacteristic
366C2×#117—431no—
367C2×#117—434no—
368C2×#117—434no—
369C2×#117—431no—
370C2×#117—431no—
371C2×#117—861no—
372C2×#117—861no—
373C2×#117—862no—
374C2×#117—862no—
375C2×#117C2×D4311yescharacteristic
376C22×C4⋊C4—431no—
377C22×C4⋊C4—431no—
378C22×C22⋊C4—861no—
379C22×C22⋊C4—861no—
380C22×C42—431no—
381C22×C42—861no—
382C22×C42C2×D4311yescharacteristic
383#407—434no—
384#407—862no—
385C2×C22⋊C8—861no—
386C2×C22⋊C8—861no—
387C4×C22⋊C4—434no—
388C4×C22⋊C4—862no—
389C2×#95—861no—
390#339—434no—
391#339—434no—
392#339—434no—
393#339C2×D4314yescomplemented
394C43C2×#182611yescharacteristic, complemented, Sylow
395C25—431no—
396C23×C4—21no—
397C23×C4—431no—
398C23×C4—431no—
399C23×C4—431no—
400C23×C4—432no—
401C23×C4—432no—
402C23×C4—432no—
403C23×C4—431no—
404C23×C4—431no—
405C23×C4—432no—
406C23×C4—861no—
407C23×C4—861no—
408C23×C4—862no—
409C23×C4—862no—
410C23×C4—862no—
411C23×C4—862no—
412C23×C4—861no—
413C23×C4C22×D4311yescharacteristic
414C2×M16—21no—
415C2×M16—22no—
416C2×M16—22no—
417C2×M16—432no—
418C2×M16—861no—
419C2×M16—862no—
420C2×M16—862no—
421C2×M16C22×D4312yes—
422C22×C8—21no—
423C22×C8—861no—
424#117—21no—
425#117—21no—
426#117—432no—
427#117—432no—
428#117—434no—
429#117—434no—
430#117—864no—
431#117—864no—
432#117—864no—
433#117—864no—
434#117—862no—
435#117—862no—
436#117—861no—
437#117—861no—
438#117C4×D4312yes—
439#117C22×D4312yes—
440C2×C4⋊C4—431no—
441C2×C4⋊C4—431no—
442C2×C4⋊C4—434no—
443C2×C4⋊C4—434no—
444C2×C4⋊C4—862no—
445C2×C4⋊C4—862no—
446C2×C4⋊C4—861no—
447C2×C4⋊C4—861no—
448C2×C4⋊C4C4×D4311yescharacteristic
449C2×C4⋊C4C4×D4311yescharacteristic
450C2×C22⋊C4—21no—
451C2×C22⋊C4—864no—
452C2×C22⋊C4—864no—
453C2×C22⋊C4—861no—
454C2×C22⋊C4—861no—
455C2×C22⋊C4—864no—
456C2×C22⋊C4—868no—
457C2×C22⋊C4—861no—
458C2×C42—21no—
459C2×C42—22no—
460C2×C42—22no—
461C2×C42—21no—
462C2×C42—432no—
463C2×C42—864no—
464C2×C42—864no—
465C2×C42—861no—
466C2×C42—861no—
467C2×C42—861no—
468C2×C42—862no—
469C2×C42—862no—
470C2×C42—861no—
471C2×C42C22×D4312yes—
472C22⋊C8—864no—
473C22⋊C8—864no—
474#95—864no—
475C24—431no—
476C24—431no—
477C24—432no—
478C24—432no—
479C24—864no—
480C24—862no—
481C24—862no—
482C24—1722no—
483C24D4×D4311yescharacteristic
484C22×C4—24no—
485C22×C4—21no—
486C22×C4—21no—
487C22×C4—22no—
488C22×C4—42no—
489C22×C4—42no—
490C22×C4—431no—
491C22×C4—431no—
492C22×C4—432no—
493C22×C4—432no—
494C22×C4—432no—
495C22×C4—432no—
496C22×C4—432no—
497C22×C4—432no—
498C22×C4—432no—
499C22×C4—432no—
500C22×C4—432no—
501C22×C4—432no—
502C22×C4—864no—
503C22×C4—864no—
504C22×C4—862no—
505C22×C4—862no—
506C22×C4—862no—
507C22×C4—864no—
508C22×C4—862no—
509C22×C4—862no—
510C22×C4—864no—
511C22×C4—862no—
512C22×C4—864no—
513C22×C4—862no—
514C22×C4—862no—
515C22×C4—864no—
516C22×C4—864no—
517C22×C4—862no—
518C22×C4—862no—
519C22×C4—864no—
520C22×C4—862no—
521C22×C4—862no—
522C22×C4—862no—
523C22×C4—862no—
524C22×C4—864no—
525C22×C4—861no—
526C22×C4—861no—
527C22×C4—862no—
528C22×C4—1724no—
529C22×C4—1724no—
530C22×C4—1722no—
531C22×C4—1722no—
532C22×C4C2×C4×D4311yescharacteristic
533C22×C4C2×C4×D4311yescharacteristic
534C22×C4#1062189812yes—
535C22×C4#1062189812yes—
536C22×C4D4×D4311yescharacteristic
537C22×C4D4×D4311yescharacteristic
538C22×C4D4×D4311yescharacteristic
539C22×C4#1062190012yes—
540C22×C4#1062190212yes—
541C22×C4C23×D4311yescharacteristic
542M16—22no—
543M16—22no—
544M16—42no—
545M16—862no—
546M16—862no—
547M16—1722no—
548C2×C8—22no—
549C2×C8—42no—
550C2×C8—862no—
551C2×C8—1722no—
552C4⋊C4—21no—
553C4⋊C4—21no—
554C4⋊C4—432no—
555C4⋊C4—432no—
556C4⋊C4—864no—
557C4⋊C4—864no—
558C4⋊C4—861no—
559C4⋊C4—861no—
560C4⋊C4C2×C4×D4312yes—
561C4⋊C4C2×C4×D4312yes—
562C22⋊C4—22no—
563C22⋊C4—22no—
564C22⋊C4—864no—
565C22⋊C4—864no—
566C22⋊C4—8616no—
567C22⋊C4—862no—
568C22⋊C4—862no—
569C42—22no—
570C42—22no—
571C42—22no—
572C42—22no—
573C42—42no—
574C42—864no—
575C42—864no—
576C42—862no—
577C42—862no—
578C42—862no—
579C42—862no—
580C42—1722no—
581C23—22no—
582C23—22no—
583C23—432no—
584C23—434no—
585C23—432no—
586C23—864no—
587C23—864no—
588C23—862no—
589C23—862no—
590C23—862no—
591C23—862no—
592C23—862no—
593C23—862no—
594C23—864no—
595C23—862no—
596C23—1722no—
597C23—1722no—
598C23—1728no—
599C23—1728no—
600C23C22⋊C4×D4311yescharacteristic
601C23C22⋊C4×D4311yescharacteristic
602C23#1306330712yes—
603C23#1306331012yes—
604C23C2×D4×D4311yescharacteristic
605C2×C4—24no—
606C2×C4—22no—
607C2×C4—22no—
608C2×C4—42no—
609C2×C4—48no—
610C2×C4—42no—
611C2×C4—42no—
612C2×C4—42no—
613C2×C4—432no—
614C2×C4—432no—
615C2×C4—862no—
616C2×C4—862no—
617C2×C4—864no—
618C2×C4—862no—
619C2×C4—862no—
620C2×C4—862no—
621C2×C4—862no—
622C2×C4—862no—
623C2×C4—862no—
624C2×C4—862no—
625C2×C4—862no—
626C2×C4—862no—
627C2×C4—862no—
628C2×C4—864no—
629C2×C4—864no—
630C2×C4—864no—
631C2×C4—864no—
632C2×C4—864no—
633C2×C4—862no—
634C2×C4—862no—
635C2×C4—1728no—
636C2×C4—1728no—
637C2×C4—1722no—
638C2×C4—1728no—
639C2×C4—1722no—
640C2×C4—1722no—
641C2×C4—1722no—
642C2×C4C22⋊C4×D4311yescharacteristic
643C2×C4C22⋊C4×D4311yescharacteristic
644C2×C4#1306328212yes—
645C2×C4#1306328212yes—
646C2×C4#1306328312yes—
647C2×C4#1306328312yes—
648C2×C4#1306330712yes—
649C2×C4#1306330712yes—
650C2×C4#1306330712yes—
651C2×C4#1306331012yes—
652C2×C4#1306331012yes—
653C2×C4#1306331012yes—
654C2×C4C22×C4×D4311yescharacteristic
655C2×C4C2×D4×D4311yescharacteristic
656C2×C4C2×#1062190011yescharacteristic
657C2×C4C2×#1062189811yescharacteristic
658C2×C4C2×#1062189811yescharacteristic
659C2×C4C2×#1062190211yescharacteristic
660C8—42no—
661C8—1722no—
662C22—21no—
663C22—21no—
664C22—21no—
665C22—21no—
666C22—24no—
667C22—24no—
668C22—434no—
669C22—862no—
670C22—862no—
671C22—868no—
672C22—862no—
673C22—862no—
674C22—862no—
675C22—1724no—
676C22—1724no—
677C22—1728no—
678C22—1724no—
679C22#1458276112yes—
680C22#1458276112yes—
681C22#104×D4312yes—
682C22#1458291412yes—
683C22C2×C22⋊C4×D4311yescharacteristic
684C22C2×#1306330711yescharacteristic
685C22C2×#1306331011yescharacteristic
686C4—44no—
687C4—42no—
688C4—42no—
689C4—862no—
690C4—862no—
691C4—1724no—
692C4—1722no—
693C4—1722no—
694C4#1458276112yes—
695C4#1458276112yes—
696C4C2×#1306328211yescharacteristic
697C4C2×#1306328311yescharacteristic
698C4C2×#1306330711yescharacteristic
699C4C2×#1306331011yescharacteristic
700C2—21no—
701C2—21no—
702C2—22no—
703C2—864no—
704C2—1722no—
705C2#1913469314yesdirect product factor
706C2C2×#1458276111yescharacteristic
707C2C2×#104×D4311yescharacteristic
708C2C2×#1458291411yescharacteristic
subgroupG/H
centerC22×C4D4×D43
commutatorC2×C4×C43C23×C4
FrattiniC22×C4C23×D43
FittingC2×C43×#339C2
socleC23×C43C2×C22⋊C4
prime radicalC24×D43D4
cosocleC22×C4×C43C24
hypercenterC2×#339D43
hypocenterC43C2×#1826
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22×C4 ◁ C23×C4 ◁ C2×#339

Complements

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

NH ≅ G/Ntype
4. #19134693C2direct (N × H)
5. C2×#14582660C2semidirect
6. C2×#14582659C2semidirect
7. C2×#14582658C2semidirect
8. C2×C43×#339C2semidirect
12. C2×#13063283C4semidirect
13. C2×#13063283C4semidirect
18. #117×D43C4semidirect
20. C2×C4⋊C4×D43C4semidirect
21. C2×C4⋊C4×D43C4semidirect
33. #14582660C22semidirect
34. #14582659C22semidirect
35. #14582658C22semidirect
39. C43×#339C22semidirect
68. #13063283C2×C4semidirect
69. #13063283C2×C4semidirect
80. C4⋊C4×D43C2×C4semidirect
81. C4⋊C4×D43C2×C4semidirect
353. C2×#339D43semidirect
357. C2×C43#1826semidirect
393. #339C2×D43semidirect
394. C43C2×#1826semidirect
705. C2#19134693direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#117×D432
C2×#145828622
C2×C4×(C2×D43)⋊C42
#191346932
C2×#145826602
C2×#145826592
C2×#145826582
C2×C43×#3392
C2×#182643