Finite Group Databasebeta

← #375273

Subgroups — #375273

Order 512.

1506 conjugacy classes of subgroups.

The subgroup lattice has 783 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#489C211yesmaximal, characteristic
2C2×#1988C211yesmaximal, characteristic, complemented
3C2×#1983C211yesmaximal, characteristic
4C2×#1776C211yesmaximal, characteristic, complemented
5C2×#1771C211yesmaximal, characteristic, complemented
6#14161C211yesmaximal, characteristic, complemented
7#14153C211yesmaximal, characteristic
8#11124C211yesmaximal, characteristic, complemented
9#11123C211yesmaximal, characteristic
10#11122C211yesmaximal, characteristic, complemented
11#11121C211yesmaximal, characteristic
12#10928C211yesmaximal, characteristic, complemented
13#10927C211yesmaximal, characteristic
14#10926C211yesmaximal, characteristic, complemented
15#10925C211yesmaximal, characteristic
16C22×C4⋊Q8C2211yescharacteristic
17C22×#124C2211yescharacteristic
18C2×#489—24no—
19C2×#489—24no—
20C2×#489C418yescomplemented
21C22×#107C2211yescharacteristic
22C22×#106C2211yescharacteristic
23C22×C4⋊C8C2211yescharacteristic
24C22×#103C2211yescharacteristic
25C22×#103C2211yescharacteristic
26C22×#103C2211yescharacteristic
27C22×#103C2211yescharacteristic
28C22×#102C2211yescharacteristic
29C22×#102C2211yescharacteristic
30C22×#102C2211yescharacteristic
31C22×#102C2211yescharacteristic
32C22×#97C2211yescharacteristic
33C22×#97C2211yescharacteristic
34C22×C4×C8C2211yescharacteristic
35C2×#391C2211yescharacteristic
36C2×#391C2211yescharacteristic
37C2×#390C2211yescharacteristic
38C2×#390C2211yescharacteristic
39C2×C4×C4⋊C4C2211yescharacteristic
40C2×C4×C4⋊C4C2211yescharacteristic
41C2×C4×C4⋊C4C2211yescharacteristic
42#1988—24no—
43#1983—24no—
44#1776—24no—
45#1771—24no—
46C2×#340C2211yescharacteristic
47C2×#340C2211yescharacteristic
48C2×#340C2211yescharacteristic
49C2×#340C2211yescharacteristic
50C2×#340C2211yescharacteristic
51C2×#340C2211yescharacteristic
52C2×#336C2211yescharacteristic
53C2×#336C2211yescharacteristic
54#1446—22no—
55#1439—22no—
56#1437—22no—
57C4⋊#95—22no—
58C4⋊#95C2211yescharacteristic
59C4⋊#95C2211yescharacteristic
60C4⋊#95C2211yescharacteristic
61C4⋊#95C2211yescharacteristic
62C23×Q8—21no—
63C23×Q8C2311yescharacteristic
64C23×D4C2311yescharacteristic
65C23×C8C2311yescharacteristic
66C23×C8C2311yescharacteristic
67C23×C8C2311yescharacteristic
68C23×C8C2311yescharacteristic
69C2×C4⋊Q8—22no—
70C2×C4⋊Q8—22no—
71C2×C4⋊Q8—22no—
72C2×C4⋊Q8—22no—
73C2×C4⋊Q8—22no—
74C2×C4⋊Q8C2×C414yes—
75C2×#124—22no—
76C2×#124—22no—
77C2×#124—22no—
78C2×#124—22no—
79C2×#124—22no—
80C2×#124C2×C414yes—
81C22×C4⋊C4—21no—
82C22×C4⋊C4D412yes—
83C22×C4⋊C4C2311yescharacteristic
84C22×C4⋊C4C2311yescharacteristic
85C22×C4⋊C4C2311yescharacteristic
86C22×C4⋊C4C2311yescharacteristic
87C22×C4⋊C4C2311yescharacteristic
88C22×C4⋊C4C2311yescharacteristic
89C22×C22⋊C4—21no—
90C22×C22⋊C4—21no—
91C22×C22⋊C4—22no—
92C22×C22⋊C4—22no—
93C22×C42—21no—
94C22×C42—21no—
95C22×C42C2311yescharacteristic
96C22×C42C2311yescharacteristic
97C22×C42C2311yescharacteristic
98#489—232no—
99C2×#107—22no—
100C2×#107—22no—
101C2×#107—22no—
102C2×#106—22no—
103C2×#106—22no—
104C2×#106—22no—
105C2×C4⋊C8—22no—
106C2×C4⋊C8—22no—
107C2×C4⋊C8D414yes—
108C2×#103—22no—
109C2×#103—22no—
110C2×#103—22no—
111C2×#103—22no—
112C2×#103—22no—
113C2×#103—22no—
114C2×#103—22no—
115C2×#103—22no—
116C2×#103—41no—
117C2×#103—41no—
118C2×#103C2×C414yes—
119C2×#103C2×C414yes—
120C2×#102—22no—
121C2×#102—22no—
122C2×#102—22no—
123C2×#102—22no—
124C2×#102—22no—
125C2×#102—22no—
126C2×#102—22no—
127C2×#102—22no—
128C2×#102—41no—
129C2×#102—41no—
130C2×#102C2×C414yes—
131C2×#102C2×C414yes—
132C2×#97—22no—
133C2×#97—41no—
134C2×#97—41no—
135C2×#97C2×C414yes—
136C2×#97D414yes—
137C2×#97D414yes—
138C2×C4×C8—22no—
139C2×C4×C8—41no—
140C2×C4×C8—41no—
141#391—22no—
142#391—22no—
143#391—41no—
144#391—41no—
145#390—22no—
146#390—22no—
147#390—41no—
148#390—41no—
149C4×C4⋊C4—22no—
150C4×C4⋊C4—22no—
151C4×C4⋊C4—22no—
152C4×C4⋊C4—22no—
153C4×C4⋊C4—22no—
154C4×C4⋊C4—22no—
155C2×#95—22no—
156C2×#95—22no—
157C2×#95—21no—
158C2×#95—21no—
159C2×#95—22no—
160C2×#95—22no—
161C2×#95—22no—
162C2×#95—22no—
163C2×#95D412yes—
164#340—22no—
165#340—22no—
166#340—22no—
167#340—22no—
168#340—22no—
169#340—22no—
170#336—22no—
171#336—22no—
172C25—21no—
173C22×Q8—24no—
174C22×Q8—21no—
175C22×Q8—21no—
176C22×Q8—21no—
177C22×Q8—21no—
178C22×Q8—21no—
179C22×Q8—21no—
180C22×Q8—21no—
181C22×Q8—21no—
182C22×Q8—21no—
183C22×Q8—21no—
184C22×Q8—21no—
185C22×Q8—21no—
186C22×Q8—21no—
187C22×Q8—42no—
188C22×Q8—42no—
189C22×Q8—82no—
190C22×Q8—82no—
191C22×Q8C22×C412yes—
192C22×D4—21no—
193C22×D4—21no—
194C22×D4—21no—
195C22×D4—21no—
196C22×D4—21no—
197C22×D4—21no—
198C22×D4—21no—
199C22×D4—21no—
200C22×D4—21no—
201C22×D4—21no—
202C22×D4—21no—
203C22×D4—21no—
204C22×D4—21no—
205C22×D4C22×C412yes—
206C23×C4—21no—
207C23×C4—21no—
208C23×C4—21no—
209C23×C4—21no—
210C23×C4—21no—
211C23×C4—21no—
212C23×C4—21no—
213C23×C4C2×D412yes—
214C23×C4C2×D412yes—
215C23×C4C2×D411yescharacteristic
216C23×C4C2×D411yescharacteristic
217C23×C4C2411yescharacteristic
218C22×C8—21no—
219C22×C8—21no—
220C22×C8—21no—
221C22×C8—21no—
222C22×C8—21no—
223C22×C8—21no—
224C22×C8—21no—
225C22×C8—21no—
226C22×C8—21no—
227C22×C8—21no—
228C22×C8—21no—
229C22×C8—21no—
230C22×C8—21no—
231C22×C8—21no—
232C22×C8—21no—
233C22×C8—21no—
234C22×C8—21no—
235C22×C8—21no—
236C22×C8—21no—
237C22×C8—21no—
238C22×C8C22×C412yes—
239C22×C8C22×C412yes—
240C22×C8C2×D412yes—
241C22×C8C2×D412yes—
242C22×C8C2×D412yes—
243C22×C8C2×D412yes—
244C22×C8C2×D412yes—
245C22×C8C2×D412yes—
246C4⋊Q8—28no—
247C4⋊Q8—28no—
248C4⋊Q8—44no—
249C4⋊Q8—44no—
250#124—28no—
251#124—28no—
252#124—44no—
253#124—44no—
254C2×C4⋊C4—21no—
255C2×C4⋊C4—21no—
256C2×C4⋊C4—21no—
257C2×C4⋊C4—21no—
258C2×C4⋊C4—21no—
259C2×C4⋊C4—21no—
260C2×C4⋊C4—21no—
261C2×C4⋊C4—21no—
262C2×C4⋊C4—21no—
263C2×C4⋊C4—21no—
264C2×C4⋊C4—21no—
265C2×C4⋊C4—21no—
266C2×C4⋊C4—21no—
267C2×C4⋊C4—21no—
268C2×C4⋊C4—21no—
269C2×C4⋊C4—21no—
270C2×C4⋊C4—21no—
271C2×C4⋊C4—21no—
272C2×C4⋊C4—21no—
273C2×C4⋊C4—21no—
274C2×C4⋊C4—21no—
275C2×C4⋊C4—21no—
276C2×C4⋊C4—21no—
277C2×C4⋊C4—21no—
278C2×C4⋊C4—24no—
279C2×C4⋊C4—24no—
280C2×C4⋊C4—24no—
281C2×C4⋊C4—21no—
282C2×C4⋊C4—21no—
283C2×C4⋊C4—21no—
284C2×C4⋊C4—21no—
285C2×C4⋊C4—21no—
286C2×C4⋊C4—21no—
287C2×C4⋊C4—42no—
288C2×C4⋊C4—42no—
289C2×C4⋊C4—42no—
290C2×C4⋊C4C22×C412yes—
291C2×C4⋊C4C22×C412yes—
292C2×C4⋊C4#4112yes—
293C2×C4⋊C4#4112yes—
294C2×C4⋊C4#4112yes—
295C2×C4⋊C4#4112yes—
296C2×C22⋊C4—24no—
297C2×C22⋊C4—24no—
298C2×C22⋊C4—42no—
299C2×C22⋊C4—42no—
300C2×C22⋊C4—42no—
301C2×C22⋊C4—42no—
302C2×C22⋊C4—44no—
303C2×C22⋊C4—44no—
304C2×C22⋊C4—44no—
305C2×C22⋊C4—44no—
306C2×C22⋊C4—82no—
307C2×C22⋊C4—82no—
308C2×C42—21no—
309C2×C42—21no—
310C2×C42—21no—
311C2×C42—21no—
312C2×C42—21no—
313C2×C42—21no—
314C2×C42—21no—
315C2×C42—21no—
316C2×C42—21no—
317C2×C42—21no—
318C2×C42—21no—
319C2×C42—21no—
320C2×C42—44no—
321C2×C42—42no—
322C2×C42—42no—
323C2×C42—82no—
324C2×C42C22×C412yes—
325C2×C42C2×D412yes—
326C2×C42C2×D412yes—
327C2×C42C2×D412yes—
328C2×C42#4112yes—
329C2×C42#4112yes—
330#107—28no—
331#106—28no—
332C4⋊C8—28no—
333#103—28no—
334#103—28no—
335#103—44no—
336#103—44no—
337#102—28no—
338#102—28no—
339#102—44no—
340#102—44no—
341#97—44no—
342#97C22⋊C4116yescomplemented
343C4×C8—44no—
344#95—24no—
345#95—44no—
346#95—44no—
347#95—42no—
348#95—42no—
349#95—82no—
350#95—82no—
351#95—82no—
352#95—82no—
353C24—22no—
354C24—41no—
355C24—41no—
356C24—41no—
357C24—41no—
358C24—41no—
359C24—41no—
360C24—42no—
361C24—42no—
362C24—42no—
363C24—42no—
364C24C22×D411yescharacteristic
365C2×Q8—22no—
366C2×Q8—22no—
367C2×Q8—22no—
368C2×Q8—22no—
369C2×Q8—22no—
370C2×Q8—22no—
371C2×Q8—41no—
372C2×Q8—41no—
373C2×Q8—41no—
374C2×Q8—41no—
375C2×Q8—41no—
376C2×Q8—41no—
377C2×Q8—48no—
378C2×Q8—41no—
379C2×Q8—41no—
380C2×Q8—41no—
381C2×Q8—41no—
382C2×Q8—41no—
383C2×Q8—41no—
384C2×Q8—41no—
385C2×Q8—41no—
386C2×Q8—41no—
387C2×Q8—41no—
388C2×Q8—41no—
389C2×Q8—41no—
390C2×Q8—41no—
391C2×Q8—41no—
392C2×Q8—41no—
393C2×Q8—41no—
394C2×Q8—88no—
395C2×Q8—84no—
396C2×Q8—84no—
397C2×Q8—88no—
398C2×D4—22no—
399C2×D4—22no—
400C2×D4—22no—
401C2×D4—22no—
402C2×D4—22no—
403C2×D4—22no—
404C2×D4—41no—
405C2×D4—41no—
406C2×D4—41no—
407C2×D4—41no—
408C2×D4—41no—
409C2×D4—41no—
410C2×D4—41no—
411C2×D4—41no—
412C2×D4—41no—
413C2×D4—41no—
414C2×D4—41no—
415C2×D4—41no—
416C2×D4—41no—
417C2×D4—41no—
418C2×D4—41no—
419C2×D4—41no—
420C2×D4—41no—
421C2×D4—41no—
422C2×D4—41no—
423C2×D4—41no—
424C2×D4—41no—
425C2×D4—41no—
426C22×C4—22no—
427C22×C4—22no—
428C22×C4—22no—
429C22×C4—22no—
430C22×C4—22no—
431C22×C4—22no—
432C22×C4—22no—
433C22×C4—22no—
434C22×C4—22no—
435C22×C4—22no—
436C22×C4—22no—
437C22×C4—22no—
438C22×C4—22no—
439C22×C4—22no—
440C22×C4—22no—
441C22×C4—22no—
442C22×C4—22no—
443C22×C4—22no—
444C22×C4—22no—
445C22×C4—22no—
446C22×C4—22no—
447C22×C4—22no—
448C22×C4—22no—
449C22×C4—22no—
450C22×C4—41no—
451C22×C4—41no—
452C22×C4—41no—
453C22×C4—41no—
454C22×C4—41no—
455C22×C4—41no—
456C22×C4—41no—
457C22×C4—41no—
458C22×C4—41no—
459C22×C4—41no—
460C22×C4—41no—
461C22×C4—41no—
462C22×C4—41no—
463C22×C4—41no—
464C22×C4—41no—
465C22×C4—41no—
466C22×C4—41no—
467C22×C4—41no—
468C22×C4—42no—
469C22×C4—42no—
470C22×C4—42no—
471C22×C4—42no—
472C22×C4—42no—
473C22×C4—42no—
474C22×C4—42no—
475C22×C4—42no—
476C22×C4—42no—
477C22×C4—42no—
478C22×C4—42no—
479C22×C4—42no—
480C22×C4C4×D412yes—
481C22×C4C4×D412yes—
482C22×C4#12112yes—
483C22×C4#12112yes—
484C22×C4#12712yes—
485C22×C4#12712yes—
486C22×C4#13714yes—
487C22×C4C23×C411yescharacteristic
488C22×C4C22×D411yescharacteristic
489C22×C4C22×D411yescharacteristic
490C22×C4C22×D411yescharacteristic
491C22×C4C2×#4111yescharacteristic
492C22×C4C2×#4111yescharacteristic
493C22×C4C2×#4111yescharacteristic
494C22×C4C2×#4111yescharacteristic
495C22×C4C2×#4111yescharacteristic
496C22×C4C2×#4111yescharacteristic
497C22×C4H(5,𝔽2)11yescharacteristic
498C22×C4H(5,𝔽2)11yescharacteristic
499C22×C42−1+411yescharacteristic
500C22×C42−1+411yescharacteristic
501C2×C8—22no—
502C2×C8—22no—
503C2×C8—22no—
504C2×C8—22no—
505C2×C8—22no—
506C2×C8—22no—
507C2×C8—22no—
508C2×C8—22no—
509C2×C8—22no—
510C2×C8—22no—
511C2×C8—22no—
512C2×C8—22no—
513C2×C8—22no—
514C2×C8—22no—
515C2×C8—22no—
516C2×C8—22no—
517C2×C8—22no—
518C2×C8—22no—
519C2×C8—41no—
520C2×C8—41no—
521C2×C8—41no—
522C2×C8—41no—
523C2×C8—41no—
524C2×C8—41no—
525C2×C8—41no—
526C2×C8—41no—
527C2×C8C2×C22⋊C414yes—
528C2×C8C2×C22⋊C414yes—
529C4⋊C4—22no—
530C4⋊C4—22no—
531C4⋊C4—22no—
532C4⋊C4—22no—
533C4⋊C4—22no—
534C4⋊C4—22no—
535C4⋊C4—22no—
536C4⋊C4—22no—
537C4⋊C4—22no—
538C4⋊C4—22no—
539C4⋊C4—22no—
540C4⋊C4—22no—
541C4⋊C4—48no—
542C4⋊C4—41no—
543C4⋊C4—41no—
544C4⋊C4—41no—
545C4⋊C4—41no—
546C4⋊C4—41no—
547C4⋊C4—41no—
548C4⋊C4—41no—
549C4⋊C4—41no—
550C4⋊C4—41no—
551C4⋊C4—41no—
552C4⋊C4—41no—
553C4⋊C4—41no—
554C4⋊C4—48no—
555C22⋊C4—48no—
556C22⋊C4—48no—
557C22⋊C4—88no—
558C22⋊C4—88no—
559C42—41no—
560C42—41no—
561C42—41no—
562C42—41no—
563C42—41no—
564C42—41no—
565C42—41no—
566C42—41no—
567C42—84no—
568C42—84no—
569C42C2×C22⋊C414yes—
570C42C4×D414yes—
571C42#12114yes—
572C42#12414yes—
573C23—42no—
574C23—42no—
575C23—44no—
576C23—44no—
577C23—42no—
578C23—82no—
579C23—82no—
580C23—82no—
581C23—82no—
582C23—81no—
583C23—81no—
584C23—81no—
585C23—81no—
586C23—81no—
587C23—81no—
588C23—81no—
589C23—82no—
590C23—81no—
591C23—82no—
592C23—82no—
593C23—82no—
594C23—82no—
595C23—82no—
596C23C2×C4×D411yescharacteristic
597C23C2×#12111yescharacteristic
598C23C2×#12711yescharacteristic
599C23#54611yescharacteristic
600C23#54611yescharacteristic
601C23#54811yescharacteristic
602C23#54811yescharacteristic
603C23C2×#13712yes—
604C23#57512yes—
605C23#57612yes—
606C23#57712yes—
607Q8—42no—
608Q8—42no—
609Q8—42no—
610Q8—42no—
611Q8—816no—
612Q8—81no—
613Q8—81no—
614Q8—81no—
615Q8—81no—
616D4—42no—
617D4—42no—
618D4—42no—
619D4—42no—
620D4—81no—
621D4—81no—
622D4—81no—
623D4—81no—
624C2×C4—22no—
625C2×C4—22no—
626C2×C4—22no—
627C2×C4—22no—
628C2×C4—24no—
629C2×C4—24no—
630C2×C4—24no—
631C2×C4—24no—
632C2×C4—24no—
633C2×C4—24no—
634C2×C4—24no—
635C2×C4—42no—
636C2×C4—42no—
637C2×C4—42no—
638C2×C4—42no—
639C2×C4—44no—
640C2×C4—44no—
641C2×C4—42no—
642C2×C4—42no—
643C2×C4—44no—
644C2×C4—44no—
645C2×C4—42no—
646C2×C4—42no—
647C2×C4—42no—
648C2×C4—42no—
649C2×C4—42no—
650C2×C4—42no—
651C2×C4—44no—
652C2×C4—42no—
653C2×C4—42no—
654C2×C4—42no—
655C2×C4—42no—
656C2×C4—42no—
657C2×C4—42no—
658C2×C4—42no—
659C2×C4—44no—
660C2×C4—42no—
661C2×C4—82no—
662C2×C4—82no—
663C2×C4—81no—
664C2×C4—81no—
665C2×C4—81no—
666C2×C4—81no—
667C2×C4—81no—
668C2×C4—81no—
669C2×C4—81no—
670C2×C4—81no—
671C2×C4—81no—
672C2×C4—81no—
673C2×C4—81no—
674C2×C4—81no—
675C2×C4—81no—
676C2×C4—81no—
677C2×C4—81no—
678C2×C4—81no—
679C2×C4—82no—
680C2×C4—82no—
681C2×C4—82no—
682C2×C4—82no—
683C2×C4#39014yes—
684C2×C4#39014yes—
685C2×C4C22×C22⋊C411yescharacteristic
686C2×C4C2×C4×D411yescharacteristic
687C2×C4C4×#4111yescharacteristic
688C2×C4C4×#4111yescharacteristic
689C2×C4#52011yescharacteristic
690C2×C4#52011yescharacteristic
691C2×C4C2×#12111yescharacteristic
692C2×C4#52511yescharacteristic
693C2×C4#52511yescharacteristic
694C2×C4C2×#12411yescharacteristic
695C2×C4#53211yescharacteristic
696C2×C4#53211yescharacteristic
697C2×C4#53511yescharacteristic
698C2×C4#53611yescharacteristic
699C2×C4#53711yescharacteristic
700C2×C4#53711yescharacteristic
701C2×C4#54611yescharacteristic
702C2×C4#54611yescharacteristic
703C2×C4#54811yescharacteristic
704C2×C4#54811yescharacteristic
705C2×C4#55611yescharacteristic
706C2×C4#55611yescharacteristic
707C2×C4#55611yescharacteristic
708C2×C4#55611yescharacteristic
709C2×C4#55911yescharacteristic
710C2×C4#55911yescharacteristic
711C2×C4#55911yescharacteristic
712C2×C4#55911yescharacteristic
713C8—24no—
714C8—24no—
715C8—42no—
716C8—42no—
717C22—82no—
718C22—84no—
719C22—84no—
720C22—82no—
721C22—82no—
722C22—161no—
723C22—161no—
724C22—161no—
725C22—161no—
726C22—162no—
727C22—162no—
728C22C2×#39011yescharacteristic
729C22#236711yescharacteristic
730C22#236711yescharacteristic
731C22#254011yescharacteristic
732C22#254011yescharacteristic
733C22#254411yescharacteristic
734C22#254511yescharacteristic
735C22C4×#13712yes—
736C22#294612yes—
737C22#305612yes—
738C22#306212yes—
739C22#315211yescharacteristic
740C22#315311yescharacteristic
741C22#315411yescharacteristic
742C22#315511yescharacteristic
743C22#331412yes—
744C22#331612yes—
745C22#331912yes—
746C22#332112yes—
747C22#336912yes—
748C22#337012yes—
749C22#337512yes—
750C22#337612yes—
751C4—24no—
752C4—24no—
753C4—44no—
754C4—82no—
755C4—82no—
756C4—82no—
757C4—82no—
758C4—82no—
759C4—82no—
760C4—82no—
761C4—82no—
762C4#229711yescharacteristic
763C4#231111yescharacteristic
764C4#236711yescharacteristic
765C4#236711yescharacteristic
766C4#254411yescharacteristic
767C4#254511yescharacteristic
768C4#259211yescharacteristic
769C4#259211yescharacteristic
770C2—162no—
771C2#1415311yescharacteristic
772C2#2123511yescharacteristic
773C2#2123711yescharacteristic
774C2#2323012yes—
775C2#2323212yes—
776C2#2842211yescharacteristic
777C2#2842811yescharacteristic
778C2#2843211yescharacteristic
779C2#2843411yescharacteristic
780C2#2861212yes—
781C2#2865112yes—
subgroupG/H
center, socleC24C22×D4
commutatorC22×C4C23×C4
Frattini, cosocleC23×C4C24
prime radicalC23×D4C23
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C24 ◁ C2×C4×C4⋊C4 ◁ G
LECSG ▷ C23×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
2. C2×#1988C2semidirect
4. C2×#1776C2semidirect
5. C2×#1771C2semidirect
6. #14161C2semidirect
8. #11124C2semidirect
10. #11122C2semidirect
12. #10928C2semidirect
14. #10926C2semidirect
20. C2×#489C4semidirect
342. #97C22⋊C4semidirect

Maximal subgroups

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

subgroupindex
C22×#4892
C2×#19882
C2×#19832
C2×#17762
C2×#17712
#141612
#141532
#111242
#111232
#111222
#111212
#109282
#109272
#109262
#109252