Finite Group Databasebeta

← #362074

Subgroups — #362074

Order 512.

1738 conjugacy classes of subgroups.

The subgroup lattice has 759 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#423C211yesmaximal, characteristic
2C2×#1948C211yesmaximal, characteristic, complemented
3C2×#1947C211yesmaximal, characteristic, complemented
4C2×#1809C212yesmaximal
5#14686C211yesmaximal, characteristic
6C4×#380C211yesmaximal, characteristic
7#11232C212yesmaximal, complemented
8#11231C212yesmaximal, complemented
9#10849C211yesmaximal, characteristic, complemented
10#10849C211yesmaximal, characteristic, complemented
11#10722C212yesmaximal
12C23×M16C2212yes—
13C23×C42C2211yescharacteristic
14C22×#107C2212yes—
15C22×#106C2212yes—
16C2×#423—24no—
17C2×#423—24no—
18C2×#423C418yescomplemented
19C22×C4⋊C8C2211yescharacteristic
20C22×C4⋊C8C2212yes—
21C22×C4⋊C8C2211yescharacteristic
22C2×#384C2211yescharacteristic
23C2×#384C2211yescharacteristic
24C2×#380—21no—
25C2×#380—21no—
26C2×#380C2212yes—
27C2×#380C2211yescharacteristic
28C2×#380C2211yescharacteristic
29C2×C4×C4⋊C4C2211yescharacteristic
30C2×C4×C4⋊C4C2211yescharacteristic
31C2×C4×C22⋊C4—21no—
32#1948—24no—
33#1947—24no—
34#1809—28no—
35C2×#340C2212yes—
36C2×#340C2212yes—
37C2×#340C2212yes—
38C2×#340C2212yes—
39C2×#340C2212yes—
40C2×#340C2212yes—
41C4⋊#95—21no—
42C4⋊#95—21no—
43C4⋊#95C2212yes—
44C4⋊#95C2211yescharacteristic
45C4⋊#95C2211yescharacteristic
46#1434—21no—
47C22⋊#95—21no—
48C4×#95—21no—
49C24×C4D411yescharacteristic
50C24×C4D411yescharacteristic
51C24×C4C2311yescharacteristic
52C22×M16—24no—
53C22×M16—24no—
54C22×M16—24no—
55C22×M16—24no—
56C22×M16—42no—
57C22×M16—42no—
58C22×M16C2×C418yes—
59C23×C8C2312yes—
60C23×C8C2312yes—
61C22×C4⋊C4—21no—
62C22×C4⋊C4—21no—
63C22×C4⋊C4—21no—
64C22×C4⋊C4—21no—
65C22×C4⋊C4C2312yes—
66C22×C4⋊C4C2312yes—
67C22×C4⋊C4C2311yescharacteristic
68C22×C4⋊C4C2311yescharacteristic
69C22×C4⋊C4C2311yescharacteristic
70C22×C4⋊C4C2311yescharacteristic
71C22×C22⋊C4—21no—
72C22×C22⋊C4—21no—
73C22×C22⋊C4—22no—
74C22×C42—22no—
75C22×C42—22no—
76C22×C42—22no—
77C22×C42—22no—
78C22×C42—21no—
79C22×C42—21no—
80C22×C42C2×C414yes—
81C22×C42D411yescharacteristic
82C22×C42D411yescharacteristic
83C22×C42Q814yes—
84C22×C42C2311yescharacteristic
85C22×C42C2311yescharacteristic
86C2×#107—24no—
87C2×#107—24no—
88C2×#107—42no—
89C2×#106—24no—
90C2×#106—24no—
91C2×#106—42no—
92#423—232no—
93C2×C4⋊C8—24no—
94C2×C4⋊C8—24no—
95C2×C4⋊C8—22no—
96C2×C4⋊C8—22no—
97C2×C4⋊C8C2×C418yes—
98C2×C4⋊C8C2×C414yes—
99C2×C4⋊C8C2×C414yes—
100C2×C4⋊C8D414yes—
101C2×C4⋊C8D414yes—
102#384—22no—
103#384—22no—
104#384—22no—
105#384—22no—
106#380—22no—
107#380—22no—
108#380—24no—
109#380—24no—
110#380—44no—
111#380—44no—
112#380D414yes—
113#380Q814yes—
114C4×C4⋊C4—22no—
115C4×C4⋊C4—22no—
116C4×C4⋊C4—22no—
117C4×C4⋊C4—22no—
118C4×C22⋊C4—44no—
119C2×#95—21no—
120C2×#95—21no—
121C2×#95—21no—
122C2×#95—21no—
123C2×#95—21no—
124C2×#95—21no—
125C2×#95—21no—
126C2×#95—21no—
127C2×#95—22no—
128C2×#95—22no—
129C2×#95—22no—
130#340—24no—
131#340—24no—
132#340—24no—
133#340—24no—
134#340—42no—
135#340—42no—
136C25C2×D411yescharacteristic
137C23×C4—21no—
138C23×C4—21no—
139C23×C4—21no—
140C23×C4—21no—
141C23×C4—21no—
142C23×C4—21no—
143C23×C4—21no—
144C23×C4—21no—
145C23×C4—22no—
146C23×C4—22no—
147C23×C4—22no—
148C23×C4—22no—
149C23×C4—22no—
150C23×C4—22no—
151C23×C4—22no—
152C23×C4—22no—
153C23×C4—22no—
154C23×C4—22no—
155C23×C4—21no—
156C23×C4—21no—
157C23×C4—21no—
158C23×C4—21no—
159C23×C4—22no—
160C23×C4—22no—
161C23×C4—41no—
162C23×C4—41no—
163C23×C4C4⋊C414yes—
164C23×C4C4⋊C414yes—
165C23×C4C22×C412yes—
166C23×C4C2×D411yescharacteristic
167C23×C4C2×D411yescharacteristic
168C23×C4C2×D411yescharacteristic
169C23×C4C2×D411yescharacteristic
170C23×C4C2×D412yes—
171C23×C4C2×D411yescharacteristic
172C23×C4C2×Q812yes—
173C23×C4C2×Q812yes—
174C23×C4#4112yes—
175C23×C4#4112yes—
176C23×C4C2411yescharacteristic
177C2×M16—216no—
178C2×M16—216no—
179C2×M16—48no—
180C2×M16—48no—
181C2×M16—48no—
182C2×M16—48no—
183C2×M16—48no—
184C22×C8—22no—
185C22×C8—22no—
186C22×C8—22no—
187C22×C8—22no—
188C22×C8—22no—
189C22×C8—22no—
190C22×C8—22no—
191C22×C8—22no—
192C22×C8—22no—
193C22×C8—22no—
194C22×C8C22×C414yes—
195C22×C8C22×C414yes—
196C22×C8C2×D414yes—
197C22×C8C2×D414yes—
198C2×C4⋊C4—21no—
199C2×C4⋊C4—21no—
200C2×C4⋊C4—21no—
201C2×C4⋊C4—21no—
202C2×C4⋊C4—21no—
203C2×C4⋊C4—21no—
204C2×C4⋊C4—21no—
205C2×C4⋊C4—21no—
206C2×C4⋊C4—21no—
207C2×C4⋊C4—21no—
208C2×C4⋊C4—21no—
209C2×C4⋊C4—21no—
210C2×C4⋊C4—21no—
211C2×C4⋊C4—21no—
212C2×C4⋊C4—21no—
213C2×C4⋊C4—21no—
214C2×C4⋊C4—21no—
215C2×C4⋊C4—21no—
216C2×C4⋊C4—21no—
217C2×C4⋊C4—21no—
218C2×C4⋊C4—22no—
219C2×C4⋊C4—22no—
220C2×C4⋊C4—22no—
221C2×C4⋊C4—22no—
222C2×C4⋊C4—22no—
223C2×C4⋊C4—22no—
224C2×C4⋊C4—22no—
225C2×C4⋊C4—22no—
226C2×C4⋊C4—22no—
227C2×C4⋊C4—22no—
228C2×C4⋊C4—22no—
229C2×C4⋊C4—22no—
230C2×C4⋊C4—42no—
231C2×C4⋊C4—42no—
232C2×C4⋊C4—42no—
233C2×C4⋊C4—42no—
234C2×C4⋊C4—42no—
235C2×C4⋊C4—42no—
236C2×C4⋊C4—42no—
237C2×C4⋊C4—42no—
238C2×C4⋊C4—42no—
239C2×C4⋊C4—42no—
240C2×C4⋊C4—42no—
241C2×C4⋊C4—42no—
242C2×C4⋊C4C2×D412yes—
243C2×C4⋊C4C2×D412yes—
244C2×C4⋊C4C2×Q812yes—
245C2×C4⋊C4C2×Q812yes—
246C2×C22⋊C4—24no—
247C2×C22⋊C4—24no—
248C2×C22⋊C4—42no—
249C2×C22⋊C4—42no—
250C2×C22⋊C4—42no—
251C2×C22⋊C4—42no—
252C2×C22⋊C4—44no—
253C2×C22⋊C4—44no—
254C2×C22⋊C4—44no—
255C2×C42—22no—
256C2×C42—22no—
257C2×C42—22no—
258C2×C42—22no—
259C2×C42—21no—
260C2×C42—21no—
261C2×C42—21no—
262C2×C42—21no—
263C2×C42—28no—
264C2×C42—28no—
265C2×C42—28no—
266C2×C42—28no—
267C2×C42—42no—
268C2×C42—42no—
269C2×C42—42no—
270C2×C42—42no—
271C2×C42—42no—
272C2×C42—42no—
273C2×C42C4⋊C414yes—
274C2×C42C4⋊C414yes—
275C2×C42C22×C412yes—
276C2×C42C22×C412yes—
277C2×C42C2×D412yes—
278C2×C42C2×D412yes—
279C2×C42C2×Q812yes—
280C2×C42C2×Q812yes—
281C2×C42#4112yes—
282C2×C42#4112yes—
283#107—48no—
284#106—48no—
285C4⋊C8—216no—
286C4⋊C8—28no—
287C4⋊C8C22⋊C4116yescomplemented
288#95—24no—
289#95—24no—
290#95—42no—
291#95—42no—
292#95—44no—
293#95—42no—
294#95—42no—
295#95—44no—
296#95—42no—
297#95—44no—
298#95—42no—
299C24—21no—
300C24—21no—
301C24—21no—
302C24—21no—
303C24—21no—
304C24—21no—
305C24—21no—
306C24—21no—
307C24—21no—
308C24—21no—
309C24—21no—
310C24—21no—
311C24C2×C4⋊C412yes—
312C24#12112yes—
313C24C22⋊Q812yes—
314C24C22×D411yescharacteristic
315C22×C4—21no—
316C22×C4—21no—
317C22×C4—21no—
318C22×C4—21no—
319C22×C4—21no—
320C22×C4—21no—
321C22×C4—21no—
322C22×C4—21no—
323C22×C4—21no—
324C22×C4—21no—
325C22×C4—21no—
326C22×C4—21no—
327C22×C4—22no—
328C22×C4—22no—
329C22×C4—22no—
330C22×C4—22no—
331C22×C4—22no—
332C22×C4—22no—
333C22×C4—22no—
334C22×C4—22no—
335C22×C4—22no—
336C22×C4—22no—
337C22×C4—22no—
338C22×C4—22no—
339C22×C4—22no—
340C22×C4—22no—
341C22×C4—22no—
342C22×C4—22no—
343C22×C4—22no—
344C22×C4—22no—
345C22×C4—22no—
346C22×C4—22no—
347C22×C4—22no—
348C22×C4—22no—
349C22×C4—22no—
350C22×C4—22no—
351C22×C4—21no—
352C22×C4—21no—
353C22×C4—21no—
354C22×C4—21no—
355C22×C4—21no—
356C22×C4—21no—
357C22×C4—28no—
358C22×C4—28no—
359C22×C4—28no—
360C22×C4—28no—
361C22×C4—28no—
362C22×C4—22no—
363C22×C4—22no—
364C22×C4—22no—
365C22×C4—22no—
366C22×C4—44no—
367C22×C4—44no—
368C22×C4—44no—
369C22×C4—44no—
370C22×C4—44no—
371C22×C4—44no—
372C22×C4—44no—
373C22×C4—44no—
374C22×C4—44no—
375C22×C4—41no—
376C22×C4—41no—
377C22×C4—41no—
378C22×C4—41no—
379C22×C4—41no—
380C22×C4—41no—
381C22×C4—41no—
382C22×C4—41no—
383C22×C4—41no—
384C22×C4—41no—
385C22×C4—41no—
386C22×C4—41no—
387C22×C4—41no—
388C22×C4—41no—
389C22×C4—41no—
390C22×C4—41no—
391C22×C4—41no—
392C22×C4—41no—
393C22×C4—41no—
394C22×C4—41no—
395C22×C4—41no—
396C22×C4—41no—
397C22×C4—41no—
398C22×C4—41no—
399C22×C4—42no—
400C22×C4—42no—
401C22×C4—42no—
402C22×C4—42no—
403C22×C4—42no—
404C22×C4—42no—
405C22×C4—42no—
406C22×C4—42no—
407C22×C4—42no—
408C22×C4—42no—
409C22×C4—42no—
410C22×C4—42no—
411C22×C4—42no—
412C22×C4—42no—
413C22×C4C2×C4⋊C412yes—
414C22×C4C2×C4⋊C412yes—
415C22×C4C2×C4⋊C412yes—
416C22×C4C2×C4⋊C412yes—
417C22×C4C2×C4⋊C412yes—
418C22×C4C4×D414yes—
419C22×C4C4×Q814yes—
420C22×C4#12112yes—
421C22×C4#12112yes—
422C22×C4#12112yes—
423C22×C4#12112yes—
424C22×C4#12112yes—
425C22×C4C22⋊Q812yes—
426C22×C4#12514yes—
427C22×C4C4⋊Q814yes—
428C22×C4AGL(1,ℤ/8)12yes—
429C22×C4AGL(1,ℤ/8)12yes—
430C22×C4AGL(1,ℤ/8)12yes—
431C22×C4#13712yes—
432C22×C4#13712yes—
433C22×C4#13712yes—
434C22×C4C23×C411yescharacteristic
435C22×C4C22×D411yescharacteristic
436C22×C4C22×D411yescharacteristic
437C22×C4C22×D411yescharacteristic
438C22×C4C22×Q811yescharacteristic
439C22×C4C22×Q811yescharacteristic
440C22×C4C2×#4111yescharacteristic
441C22×C4C2×#4111yescharacteristic
442C22×C4C2×#4111yescharacteristic
443C22×C4C2×#4111yescharacteristic
444C22×C4H(5,𝔽2)11yescharacteristic
445C22×C4H(5,𝔽2)11yescharacteristic
446C22×C42−1+411yescharacteristic
447C22×C42−1+411yescharacteristic
448M16—432no—
449C2×C8—24no—
450C2×C8—24no—
451C2×C8—24no—
452C2×C8—24no—
453C2×C8—24no—
454C2×C8—24no—
455C2×C8—24no—
456C2×C8—24no—
457C2×C8—24no—
458C2×C8—42no—
459C2×C8—42no—
460C2×C8—42no—
461C2×C8—42no—
462C2×C8C2×C22⋊C418yes—
463C4⋊C4—22no—
464C4⋊C4—22no—
465C4⋊C4—22no—
466C4⋊C4—22no—
467C4⋊C4—22no—
468C4⋊C4—22no—
469C4⋊C4—22no—
470C4⋊C4—22no—
471C4⋊C4—41no—
472C4⋊C4—41no—
473C4⋊C4—41no—
474C4⋊C4—41no—
475C4⋊C4—41no—
476C4⋊C4—41no—
477C4⋊C4—41no—
478C4⋊C4—41no—
479C4⋊C4—42no—
480C4⋊C4—42no—
481C4⋊C4—42no—
482C4⋊C4—42no—
483C4⋊C4—42no—
484C4⋊C4—42no—
485C4⋊C4—42no—
486C4⋊C4—42no—
487C4⋊C4—84no—
488C4⋊C4—84no—
489C4⋊C4—84no—
490C4⋊C4—84no—
491C22⋊C4—48no—
492C22⋊C4—48no—
493C22⋊C4—88no—
494C42—22no—
495C42—22no—
496C42—22no—
497C42—22no—
498C42—28no—
499C42—28no—
500C42—84no—
501C42—84no—
502C42C2×C22⋊C414yes—
503C42#11714yes—
504C42C22⋊Q814yes—
505C42C22⋊Q814yes—
506C23—22no—
507C23—22no—
508C23—22no—
509C23—22no—
510C23—22no—
511C23—22no—
512C23—22no—
513C23—22no—
514C23—22no—
515C23—22no—
516C23—22no—
517C23—22no—
518C23—22no—
519C23—22no—
520C23—22no—
521C23—22no—
522C23—22no—
523C23—22no—
524C23—41no—
525C23—41no—
526C23—41no—
527C23—41no—
528C23—41no—
529C23—41no—
530C23—41no—
531C23—41no—
532C23—41no—
533C23—41no—
534C23—41no—
535C23—41no—
536C23—41no—
537C23—41no—
538C23—41no—
539C23—41no—
540C23#38914yes—
541C23C22×C4⋊C411yescharacteristic
542C23C2×#12111yescharacteristic
543C23C2×#12111yescharacteristic
544C23C2×#12111yescharacteristic
545C23C2×C22⋊Q811yescharacteristic
546C23#53711yescharacteristic
547C23#53711yescharacteristic
548C23C2×AGL(1,ℤ/8)11yescharacteristic
549C23C2×AGL(1,ℤ/8)11yescharacteristic
550C23C2×AGL(1,ℤ/8)11yescharacteristic
551C23C2×#13711yescharacteristic
552C23C2×#13711yescharacteristic
553C23C2×#13711yescharacteristic
554C23#57511yescharacteristic
555C23#57511yescharacteristic
556C2×C4—22no—
557C2×C4—22no—
558C2×C4—22no—
559C2×C4—22no—
560C2×C4—22no—
561C2×C4—22no—
562C2×C4—22no—
563C2×C4—22no—
564C2×C4—22no—
565C2×C4—22no—
566C2×C4—22no—
567C2×C4—22no—
568C2×C4—22no—
569C2×C4—22no—
570C2×C4—22no—
571C2×C4—22no—
572C2×C4—22no—
573C2×C4—22no—
574C2×C4—24no—
575C2×C4—24no—
576C2×C4—24no—
577C2×C4—24no—
578C2×C4—24no—
579C2×C4—24no—
580C2×C4—24no—
581C2×C4—24no—
582C2×C4—22no—
583C2×C4—22no—
584C2×C4—22no—
585C2×C4—416no—
586C2×C4—41no—
587C2×C4—41no—
588C2×C4—41no—
589C2×C4—41no—
590C2×C4—416no—
591C2×C4—42no—
592C2×C4—42no—
593C2×C4—42no—
594C2×C4—42no—
595C2×C4—42no—
596C2×C4—42no—
597C2×C4—42no—
598C2×C4—42no—
599C2×C4—42no—
600C2×C4—42no—
601C2×C4—42no—
602C2×C4—42no—
603C2×C4—81no—
604C2×C4—81no—
605C2×C4—81no—
606C2×C4—81no—
607C2×C4—81no—
608C2×C4—81no—
609C2×C4—81no—
610C2×C4—81no—
611C2×C4—81no—
612C2×C4—81no—
613C2×C4—81no—
614C2×C4—81no—
615C2×C4—81no—
616C2×C4—81no—
617C2×C4—81no—
618C2×C4—81no—
619C2×C4—82no—
620C2×C4—82no—
621C2×C4—82no—
622C2×C4—82no—
623C2×C4—82no—
624C2×C4—82no—
625C2×C4—82no—
626C2×C4—82no—
627C2×C4—82no—
628C2×C4—82no—
629C2×C4—82no—
630C2×C4—82no—
631C2×C4—82no—
632C2×C4—82no—
633C2×C4#38014yes—
634C2×C4#38014yes—
635C2×C4#38914yes—
636C2×C4#42814yes—
637C2×C4#42814yes—
638C2×C4#42814yes—
639C2×C4#46814yes—
640C2×C4#46814yes—
641C2×C4#46914yes—
642C2×C4#47014yes—
643C2×C4C22×C22⋊C411yescharacteristic
644C2×C4C2×#11711yescharacteristic
645C2×C4C2×C4×D411yescharacteristic
646C2×C4C2×C4×Q811yescharacteristic
647C2×C4#51811yescharacteristic
648C2×C4#51911yescharacteristic
649C2×C4C2×C22⋊Q811yescharacteristic
650C2×C4C2×C22⋊Q811yescharacteristic
651C2×C4C2×#12511yescharacteristic
652C2×C4C2×C4⋊Q811yescharacteristic
653C2×C4#54411yescharacteristic
654C2×C4#54411yescharacteristic
655C2×C4D4211yescharacteristic
656C2×C4D4211yescharacteristic
657C2×C4#54611yescharacteristic
658C2×C4#54611yescharacteristic
659C2×C4#54711yescharacteristic
660C2×C4#54711yescharacteristic
661C2×C4#54811yescharacteristic
662C2×C4#54811yescharacteristic
663C2×C4D4×Q811yescharacteristic
664C2×C4D4×Q811yescharacteristic
665C2×C4#55211yescharacteristic
666C2×C4#55211yescharacteristic
667C2×C4#55311yescharacteristic
668C2×C4#55311yescharacteristic
669C2×C4#55411yescharacteristic
670C2×C4#55411yescharacteristic
671C8—28no—
672C8—44no—
673C22—24no—
674C22—24no—
675C22—24no—
676C22—42no—
677C22—42no—
678C22—42no—
679C22—42no—
680C22—42no—
681C22—42no—
682C22—42no—
683C22—42no—
684C22—42no—
685C22—42no—
686C22—42no—
687C22—42no—
688C22C2×#38011yescharacteristic
689C22C2×#38911yescharacteristic
690C22#231611yescharacteristic
691C22#241611yescharacteristic
692C22#241611yescharacteristic
693C22#241711yescharacteristic
694C22#241711yescharacteristic
695C22C2×#42811yescharacteristic
696C22C2×#42811yescharacteristic
697C22C2×#42811yescharacteristic
698C22#291111yescharacteristic
699C22#303611yescharacteristic
700C22#303711yescharacteristic
701C22#303811yescharacteristic
702C22#303911yescharacteristic
703C22C2×#46811yescharacteristic
704C22C2×#46811yescharacteristic
705C22C2×#46911yescharacteristic
706C22C2×#47011yescharacteristic
707C22#305511yescharacteristic
708C22#305511yescharacteristic
709C22#305611yescharacteristic
710C22#305611yescharacteristic
711C22#307711yescharacteristic
712C22#307811yescharacteristic
713C22#307911yescharacteristic
714C22#307911yescharacteristic
715C22#325111yescharacteristic
716C22#325111yescharacteristic
717C22#325211yescharacteristic
718C22#325211yescharacteristic
719C22#325311yescharacteristic
720C22#325411yescharacteristic
721C22#325411yescharacteristic
722C22#325511yescharacteristic
723C4—24no—
724C4—24no—
725C4—24no—
726C4—42no—
727C4—82no—
728C4—82no—
729C4—82no—
730C4—82no—
731C4—162no—
732C4—162no—
733C4#180918yescomplemented
734C4D4×C22⋊C411yescharacteristic
735C4Q8×C22⋊C411yescharacteristic
736C4#234411yescharacteristic
737C4#234511yescharacteristic
738C4#244011yescharacteristic
739C4#244011yescharacteristic
740C4#244211yescharacteristic
741C4#244211yescharacteristic
742C2—44no—
743C2#1390711yescharacteristic
744C2C2×#180911yescharacteristic
745C2#2066111yescharacteristic
746C2#2117011yescharacteristic
747C2#2117111yescharacteristic
748C2#2196311yescharacteristic
749C2#2196411yescharacteristic
750C2#2475811yescharacteristic
751C2#2475911yescharacteristic
752C2#2476011yescharacteristic
753C2#2476111yescharacteristic
754C2#2484311yescharacteristic
755C2#2484411yescharacteristic
756C2#2484511yescharacteristic
757C2#2484611yescharacteristic
subgroupG/H
center, socleC24C22×D4
commutatorC22×C4C23×C4
Frattini, cosocleC23×C4C24
prime radicalC25C2×D4
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C24 ◁ C23×C42 ◁ G
LECSG ▷ C23×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
2. C2×#1948C2semidirect
3. C2×#1947C2semidirect
7. #11232C2semidirect
8. #11231C2semidirect
9. #10849C2semidirect
10. #10849C2semidirect
18. C2×#423C4semidirect
287. C4⋊C8C22⋊C4semidirect
733. C4#1809semidirect

Maximal subgroups

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

subgroupindex
C22×#4232
C2×#19482
C2×#19472
C2×#18092
#146862
C4×#3802
#112322
#112312
#108492
#107222