Finite Group Databasebeta

← C4⋊C4×#102 #356190

Subgroups — C4⋊C4×#102 #356190

Order 512.

2072 conjugacy classes of subgroups.

The subgroup lattice has 722 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×D4×C4⋊C4C211yesmaximal, characteristic
2C2×#1802C211yesmaximal, characteristic
3C2×C8×C4⋊C4C211yesmaximal, characteristic, complemented
4C2×C4×#102C212yesmaximal
5C2×C4×#102C211yesmaximal, characteristic
6C4⋊C42C211yesmaximal, characteristic, complemented
7#10884C212yesmaximal, complemented
8#10880C212yesmaximal, complemented
9#10849C211yesmaximal, characteristic, complemented
10#10841C211yesmaximal, characteristic, complemented
11#10788C212yesmaximal
12C22×C4×D4C2212yes—
13C22×C4×D4C2211yescharacteristic
14C23×C4⋊C4—21no—
15C22×C4⋊C8C2211yescharacteristic
16C22×#102C2211yescharacteristic
17C22×#102C2212yes—
18C22×#102C2211yescharacteristic
19C22×C4×C8C2212yes—
20C22×C4×C8C2211yescharacteristic
21D4×C4⋊C4—24no—
22D4×C4⋊C4C418yescomplemented
23C2×#389C2212yes—
24C2×#385—22no—
25C2×#384C2211yescharacteristic
26C2×#384C2211yescharacteristic
27C2×#380—21no—
28C2×C4×C4⋊C4—21no—
29C2×C4×C4⋊C4C2212yes—
30C2×C4×C4⋊C4C2211yescharacteristic
31C2×C4×C4⋊C4C2211yescharacteristic
32#1802C418yescomplemented
33C8×C4⋊C4—24no—
34C4×#102—28no—
35C4×#102C418yescomplemented
36C2×#340C2212yes—
37C2×#340C2212yes—
38C2×#340C2212yes—
39C2×#340C2212yes—
40C2×#340C2211yescharacteristic
41C2×#340C2212yes—
42C2×#340C2211yescharacteristic
43C2×#336C2212yes—
44#1436—22no—
45C4⋊#95—21no—
46C4⋊#95C2212yes—
47C23×D4C2311yescharacteristic
48C24×C4—21no—
49C24×C4—22no—
50C23×C8C2312yes—
51C23×C8C2311yescharacteristic
52C23×C8C2311yescharacteristic
53C2×C4×D4—24no—
54C2×C4×D4—24no—
55C2×C4×D4—22no—
56C2×C4×D4—24no—
57C2×C4×D4—22no—
58C2×C4×D4—22no—
59C2×C4×D4—42no—
60C2×C4×D4—42no—
61C2×C4×D4C2×C418yes—
62C2×C4×D4C2×C414yes—
63C2×C4×D4C2×C414yes—
64C2×C4×D4C2×C414yes—
65C22×C4⋊C4—21no—
66C22×C4⋊C4—22no—
67C22×C4⋊C4—21no—
68C22×C4⋊C4—21no—
69C22×C4⋊C4—21no—
70C22×C4⋊C4—28no—
71C22×C4⋊C4—44no—
72C22×C4⋊C4—44no—
73C22×C4⋊C4D411yescharacteristic
74C22×C4⋊C4D411yescharacteristic
75C22×C4⋊C4C2311yescharacteristic
76C22×C4⋊C4C2312yes—
77C22×C4⋊C4C2312yes—
78C22×C4⋊C4C2311yescharacteristic
79C22×C4⋊C4C2311yescharacteristic
80C22×C22⋊C4—21no—
81C22×C22⋊C4—22no—
82C22×C42—21no—
83C22×C42—22no—
84C22×C42C2312yes—
85C22×C42C2311yescharacteristic
86C2×C4⋊C8—22no—
87C2×C4⋊C8—22no—
88C2×C4⋊C8C2×C414yescomplemented
89C2×#102—24no—
90C2×#102—22no—
91C2×#102—22no—
92C2×#102—24no—
93C2×#102C2×C418yes—
94C2×#102C2×C414yes—
95C2×#102C2×C414yes—
96C2×#102D414yes—
97C2×#102Q814yes—
98C2×C4×C8—22no—
99C2×C4×C8—22no—
100C2×C4×C8—24no—
101C2×C4×C8—24no—
102C2×C4×C8—42no—
103C2×C4×C8C2×C414yescomplemented
104#389—24no—
105#389C2×C418yes—
106#385—216no—
107#384—22no—
108#384—22no—
109#384C2×C414yes—
110#384C2×C414yescomplemented
111#380—28no—
112C4×C4⋊C4—22no—
113C4×C4⋊C4—24no—
114C4×C4⋊C4—42no—
115C4×C4⋊C4—44no—
116C4×C4⋊C4C2×C414yes—
117C4×C4⋊C4C2×C414yescomplemented
118C4×C4⋊C4D414yes—
119C2×#95—21no—
120C2×#95—22no—
121C2×#95—22no—
122C2×#95—22no—
123C2×#95—22no—
124C2×#95D412yes—
125#340—24no—
126#340—24no—
127#340—42no—
128#340—42no—
129#340C2×C418yescomplemented
130#340C2×C414yescomplemented
131#340C2×C414yescomplemented
132#336—24no—
133C25—21no—
134C22×D4—21no—
135C22×D4—21no—
136C22×D4—21no—
137C22×D4—21no—
138C22×D4—21no—
139C22×D4—21no—
140C22×D4—21no—
141C22×D4C22×C412yes—
142C22×D4C22×C412yes—
143C22×D4C22×C412yes—
144C22×D4C2×D412yes—
145C22×D4C2×Q812yes—
146C22×D4#4112yes—
147C22×D4#4112yes—
148C23×C4—21no—
149C23×C4—21no—
150C23×C4—24no—
151C23×C4—24no—
152C23×C4—24no—
153C23×C4—22no—
154C23×C4—22no—
155C23×C4—21no—
156C23×C4—28no—
157C23×C4—44no—
158C23×C4—44no—
159C23×C4—42no—
160C23×C4—42no—
161C23×C4—42no—
162C23×C4—42no—
163C23×C4—44no—
164C23×C4—44no—
165C23×C4—82no—
166C23×C4—82no—
167C23×C4C2×D412yes—
168C23×C4C2×D411yescharacteristic
169C23×C4C2×D412yes—
170C23×C4C2×D411yescharacteristic
171C23×C4C2411yescharacteristic
172C22×C8—21no—
173C22×C8—21no—
174C22×C8—21no—
175C22×C8—21no—
176C22×C8—21no—
177C22×C8—22no—
178C22×C8—22no—
179C22×C8—21no—
180C22×C8—21no—
181C22×C8—21no—
182C22×C8—22no—
183C22×C8—22no—
184C22×C8—21no—
185C22×C8—22no—
186C22×C8—22no—
187C22×C8—21no—
188C22×C8C22×C412yes—
189C22×C8C22×C414yes—
190C22×C8C22×C412yes—
191C22×C8C2×D412yes—
192C22×C8C2×Q812yes—
193C4×D4—216no—
194C4×D4—28no—
195C4×D4—28no—
196C4×D4—28no—
197C4×D4—48no—
198C4×D4—48no—
199C4×D4—48no—
200C4×D4C42116yescomplemented
201C2×C4⋊C4—22no—
202C2×C4⋊C4—22no—
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—22no—
210C2×C4⋊C4—22no—
211C2×C4⋊C4—22no—
212C2×C4⋊C4—21no—
213C2×C4⋊C4—21no—
214C2×C4⋊C4—22no—
215C2×C4⋊C4—22no—
216C2×C4⋊C4—22no—
217C2×C4⋊C4—21no—
218C2×C4⋊C4—22no—
219C2×C4⋊C4—22no—
220C2×C4⋊C4—21no—
221C2×C4⋊C4—24no—
222C2×C4⋊C4—28no—
223C2×C4⋊C4—24no—
224C2×C4⋊C4—22no—
225C2×C4⋊C4—21no—
226C2×C4⋊C4—22no—
227C2×C4⋊C4—24no—
228C2×C4⋊C4—24no—
229C2×C4⋊C4—44no—
230C2×C4⋊C4—42no—
231C2×C4⋊C4—42no—
232C2×C4⋊C4—44no—
233C2×C4⋊C4—42no—
234C2×C4⋊C4—42no—
235C2×C4⋊C4—432no—
236C2×C4⋊C4—81no—
237C2×C4⋊C4—81no—
238C2×C4⋊C4—81no—
239C2×C4⋊C4—81no—
240C2×C4⋊C4C22⋊C414yes—
241C2×C4⋊C4C22⋊C414yes—
242C2×C4⋊C4D814yes—
243C2×C4⋊C4SD1614yes—
244C2×C4⋊C4C22×C414yes—
245C2×C4⋊C4C22×C412yes—
246C2×C4⋊C4C22×C414yes—
247C2×C4⋊C4C22×C412yes—
248C2×C4⋊C4C22×C412yes—
249C2×C4⋊C4C22×C412yes—
250C2×C4⋊C4C22×C412yes—
251C2×C4⋊C4C2×D412yes—
252C2×C4⋊C4C2×Q812yes—
253C2×C22⋊C4—24no—
254C2×C22⋊C4—24no—
255C2×C22⋊C4—24no—
256C2×C22⋊C4—28no—
257C2×C22⋊C4—44no—
258C2×C22⋊C4—44no—
259C2×C42—22no—
260C2×C42—22no—
261C2×C42—22no—
262C2×C42—22no—
263C2×C42—24no—
264C2×C42—42no—
265C2×C42—42no—
266C2×C42—44no—
267C2×C42—44no—
268C2×C42—82no—
269C2×C42C22×C414yes—
270C2×C42C22×C412yes—
271C2×C42C22×C412yes—
272C2×C42C22×C412yes—
273C2×C42C2×D414yes—
274C2×C42C2×D412yes—
275C2×C42#4112yes—
276C2×C42#4112yes—
277C4⋊C8—28no—
278#102—28no—
279#102—216no—
280#102C4⋊C4116yesdirect product factor
281C4×C8—28no—
282C4×C8—48no—
283#95—28no—
284#95—24no—
285#95—44no—
286#95—44no—
287#95—82no—
288#95C22⋊C418yes—
289C24—22no—
290C24—22no—
291C24—22no—
292C24—22no—
293C24—22no—
294C24—22no—
295C24—22no—
296C24—41no—
297C24—41no—
298C24—41no—
299C24—41no—
300C24—41no—
301C24—41no—
302C24—41no—
303C24—41no—
304C24C22×D411yescharacteristic
305C2×D4—22no—
306C2×D4—22no—
307C2×D4—22no—
308C2×D4—22no—
309C2×D4—22no—
310C2×D4—22no—
311C2×D4—22no—
312C2×D4—22no—
313C2×D4—22no—
314C2×D4—22no—
315C2×D4—22no—
316C2×D4—22no—
317C2×D4—22no—
318C2×D4—22no—
319C2×D4—22no—
320C2×D4—22no—
321C2×D4—22no—
322C2×D4—22no—
323C2×D4—22no—
324C2×D4—22no—
325C2×D4—22no—
326C2×D4C2×C4214yes—
327C2×D4C2×C4⋊C414yes—
328C2×D4#11714yes—
329C2×D4C4×D414yes—
330C2×D4C4×D414yes—
331C2×D4C4×Q814yes—
332C2×D4C4×Q814yes—
333C22×C4—22no—
334C22×C4—22no—
335C22×C4—22no—
336C22×C4—21no—
337C22×C4—21no—
338C22×C4—21no—
339C22×C4—22no—
340C22×C4—21no—
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—22no—
352C22×C4—22no—
353C22×C4—216no—
354C22×C4—24no—
355C22×C4—22no—
356C22×C4—24no—
357C22×C4—416no—
358C22×C4—41no—
359C22×C4—41no—
360C22×C4—41no—
361C22×C4—41no—
362C22×C4—41no—
363C22×C4—41no—
364C22×C4—41no—
365C22×C4—41no—
366C22×C4—48no—
367C22×C4—48no—
368C22×C4—48no—
369C22×C4—48no—
370C22×C4—48no—
371C22×C4—48no—
372C22×C4—42no—
373C22×C4—42no—
374C22×C4—42no—
375C22×C4—41no—
376C22×C4—41no—
377C22×C4—42no—
378C22×C4—41no—
379C22×C4—42no—
380C22×C4—42no—
381C22×C4—42no—
382C22×C4—41no—
383C22×C4—42no—
384C22×C4—42no—
385C22×C4—42no—
386C22×C4—41no—
387C22×C4—42no—
388C22×C4—42no—
389C22×C4—41no—
390C22×C4—416no—
391C22×C4—88no—
392C22×C4—88no—
393C22×C4—88no—
394C22×C4—88no—
395C22×C4—88no—
396C22×C4C2×C22⋊C414yes—
397C22×C4C2×C22⋊C412yes—
398C22×C4C2×C22⋊C414yes—
399C22×C4C2×C22⋊C412yes—
400C22×C4C4×D412yes—
401C22×C4C4×D412yes—
402C22×C4C4×D412yes—
403C22×C4C4×D412yes—
404C22×C4C2×D814yes—
405C22×C4C2×D812yes—
406C22×C4C2×SD1614yes—
407C22×C4C2×SD1612yes—
408C22×C4#13512yes—
409C22×C4#13512yes—
410C22×C4C23×C411yescharacteristic
411C22×C4C23×C411yescharacteristic
412C22×C4C23×C411yescharacteristic
413C22×C4C22×D411yescharacteristic
414C22×C4C22×D411yescharacteristic
415C22×C4C22×Q811yescharacteristic
416C22×C4C2×#4111yescharacteristic
417C22×C4C2×#4111yescharacteristic
418C22×C4C2×#4111yescharacteristic
419C22×C4C2×#4111yescharacteristic
420C22×C4H(5,𝔽2)11yescharacteristic
421C22×C4H(5,𝔽2)11yescharacteristic
422C22×C42−1+411yescharacteristic
423C22×C42−1+411yescharacteristic
424C2×C8—22no—
425C2×C8—22no—
426C2×C8—22no—
427C2×C8—22no—
428C2×C8—22no—
429C2×C8—22no—
430C2×C8—22no—
431C2×C8—22no—
432C2×C8—24no—
433C2×C8—24no—
434C2×C8—22no—
435C2×C8—24no—
436C2×C8—42no—
437C2×C8—41no—
438C2×C8—42no—
439C2×C8—41no—
440C2×C8—42no—
441C2×C8—41no—
442C2×C8—41no—
443C2×C8—42no—
444C2×C8C2×C4⋊C414yescomplemented
445C4⋊C4—22no—
446C4⋊C4—22no—
447C4⋊C4—22no—
448C4⋊C4—22no—
449C4⋊C4—22no—
450C4⋊C4—22no—
451C4⋊C4—28no—
452C4⋊C4—22no—
453C4⋊C4—24no—
454C4⋊C4—24no—
455C4⋊C4—24no—
456C4⋊C4—22no—
457C4⋊C4—24no—
458C4⋊C4—42no—
459C4⋊C4—42no—
460C4⋊C4—42no—
461C4⋊C4—41no—
462C4⋊C4—41no—
463C4⋊C4—42no—
464C4⋊C4—416no—
465C4⋊C4—48no—
466C4⋊C4—48no—
467C4⋊C4—84no—
468C4⋊C4—84no—
469C4⋊C4#102116yesdirect product factor
470C4⋊C4C2×C4214yes—
471C4⋊C4C2×C4⋊C414yescomplemented
472C22⋊C4—216no—
473C22⋊C4—416no—
474C42—24no—
475C42—24no—
476C42—24no—
477C42—24no—
478C42—48no—
479C42—88no—
480C42C2×C4214yes—
481C42#11714yes—
482C42C4×D414yes—
483C42C4×D414yes—
484C23—24no—
485C23—24no—
486C23—24no—
487C23—24no—
488C23—24no—
489C23—24no—
490C23—24no—
491C23—42no—
492C23—42no—
493C23—42no—
494C23—42no—
495C23—42no—
496C23—42no—
497C23—42no—
498C23—42no—
499C23—42no—
500C23—42no—
501C23—42no—
502C23—42no—
503C23—42no—
504C23—42no—
505C23—42no—
506C23—42no—
507C23—42no—
508C23—42no—
509C23—42no—
510C23—42no—
511C23—42no—
512C23—42no—
513C23—42no—
514C23—42no—
515C23—42no—
516C23—42no—
517C23—42no—
518C23—42no—
519C23C22×C22⋊C411yescharacteristic
520C23C2×C4×D411yescharacteristic
521C23C2×C4×D411yescharacteristic
522C23D4211yescharacteristic
523C23#54611yescharacteristic
524C23#54811yescharacteristic
525C23D4×Q811yescharacteristic
526C23C22×D811yescharacteristic
527C23C22×SD1611yescharacteristic
528C23C2×#13511yescharacteristic
529C23C2×#13511yescharacteristic
530C23#57611yescharacteristic
531C23#57711yescharacteristic
532C23#57711yescharacteristic
533C23#57811yescharacteristic
534D4—24no—
535D4—24no—
536D4—24no—
537D4—24no—
538D4—24no—
539D4—24no—
540D4—24no—
541D4C4×C4⋊C418yescomplemented
542C2×C4—24no—
543C2×C4—22no—
544C2×C4—24no—
545C2×C4—22no—
546C2×C4—22no—
547C2×C4—22no—
548C2×C4—22no—
549C2×C4—22no—
550C2×C4—24no—
551C2×C4—24no—
552C2×C4—24no—
553C2×C4—24no—
554C2×C4—24no—
555C2×C4—24no—
556C2×C4—24no—
557C2×C4—24no—
558C2×C4—24no—
559C2×C4—42no—
560C2×C4—42no—
561C2×C4—42no—
562C2×C4—42no—
563C2×C4—42no—
564C2×C4—42no—
565C2×C4—42no—
566C2×C4—42no—
567C2×C4—42no—
568C2×C4—42no—
569C2×C4—42no—
570C2×C4—42no—
571C2×C4—42no—
572C2×C4—42no—
573C2×C4—42no—
574C2×C4—42no—
575C2×C4—432no—
576C2×C4—44no—
577C2×C4—42no—
578C2×C4—44no—
579C2×C4—44no—
580C2×C4—44no—
581C2×C4—42no—
582C2×C4—44no—
583C2×C4—44no—
584C2×C4—42no—
585C2×C4—832no—
586C2×C4—82no—
587C2×C4—81no—
588C2×C4—81no—
589C2×C4—82no—
590C2×C4—82no—
591C2×C4—82no—
592C2×C4—82no—
593C2×C4—82no—
594C2×C4—81no—
595C2×C4—82no—
596C2×C4—82no—
597C2×C4—81no—
598C2×C4C4×C22⋊C414yes—
599C2×C4C4×C22⋊C414yes—
600C2×C4C2×#10218yes—
601C2×C4C2×#10214yes—
602C2×C4#41614yes—
603C2×C4C4×D814yes—
604C2×C4C4×D814yes—
605C2×C4C4×SD1614yes—
606C2×C4C4×SD1614yes—
607C2×C4C22×C4211yescharacteristic
608C2×C4C22×C4⋊C411yescharacteristic
609C2×C4C2×#11711yescharacteristic
610C2×C4C2×#11711yescharacteristic
611C2×C4C2×C4×D411yescharacteristic
612C2×C4C2×C4×D411yescharacteristic
613C2×C4C2×C4×D411yescharacteristic
614C2×C4C2×C4×D411yescharacteristic
615C2×C4C2×C4×Q811yescharacteristic
616C2×C4C2×C4×Q811yescharacteristic
617C2×C4#51811yescharacteristic
618C2×C4#51911yescharacteristic
619C2×C4#52011yescharacteristic
620C2×C4#52011yescharacteristic
621C2×C4#52011yescharacteristic
622C2×C4#52011yescharacteristic
623C2×C4D4211yescharacteristic
624C2×C4#54611yescharacteristic
625C2×C4#54711yescharacteristic
626C2×C4#54711yescharacteristic
627C2×C4#54811yescharacteristic
628C2×C4D4×Q811yescharacteristic
629C2×C4#55211yescharacteristic
630C2×C4#55211yescharacteristic
631C2×C4#55311yescharacteristic
632C2×C4#55311yescharacteristic
633C2×C4#55411yescharacteristic
634C2×C4#55411yescharacteristic
635C8—24no—
636C8—42no—
637C8—44no—
638C22—28no—
639C22—44no—
640C22—44no—
641C22—44no—
642C22—44no—
643C22—44no—
644C22—44no—
645C22—44no—
646C22—44no—
647C22—44no—
648C22—44no—
649C22—44no—
650C22—44no—
651C22—44no—
652C22—44no—
653C22C2×C4×C22⋊C411yescharacteristic
654C22D4×C22⋊C411yescharacteristic
655C22Q8×C22⋊C411yescharacteristic
656C22D4×C4⋊C411yescharacteristic
657C22#235211yescharacteristic
658C22#236011yescharacteristic
659C22#236111yescharacteristic
660C22C22×#10211yescharacteristic
661C22C2×#41611yescharacteristic
662C22#289711yescharacteristic
663C22#289811yescharacteristic
664C22C2×C4×D811yescharacteristic
665C22C2×C4×D811yescharacteristic
666C22C2×C4×SD1611yescharacteristic
667C22C2×C4×SD1611yescharacteristic
668C22#294611yescharacteristic
669C22#294711yescharacteristic
670C22#295111yescharacteristic
671C22#295211yescharacteristic
672C22D4×D811yescharacteristic
673C22D4×SD1611yescharacteristic
674C22#328311yescharacteristic
675C22#328411yescharacteristic
676C22#329411yescharacteristic
677C22#329511yescharacteristic
678C22#330211yescharacteristic
679C22#330311yescharacteristic
680C22#335811yescharacteristic
681C22#335911yescharacteristic
682C22#336011yescharacteristic
683C22#336111yescharacteristic
684C22Q8×D811yescharacteristic
685C22Q8×SD1611yescharacteristic
686C22#338011yescharacteristic
687C22#338111yescharacteristic
688C4—28no—
689C4—24no—
690C4—44no—
691C4—44no—
692C4—44no—
693C4—84no—
694C4—84no—
695C4—82no—
696C4C4×#10218yescomplemented
697C4C2×C4×C4⋊C411yescharacteristic
698C4#227411yescharacteristic
699C4#234411yescharacteristic
700C4#234511yescharacteristic
701C4D4×C4⋊C411yescharacteristic
702C4#235211yescharacteristic
703C4#236011yescharacteristic
704C4#236111yescharacteristic
705C2—48no—
706C2C22⋊C4×C4⋊C411yescharacteristic
707C2C2×C4×#10211yescharacteristic
708C2#2041511yescharacteristic
709C2D4×#10211yescharacteristic
710C2#2241711yescharacteristic
711C2Q8×#10211yescharacteristic
712C2#2251911yescharacteristic
713C2C4⋊C4×D811yescharacteristic
714C2C4⋊C4×SD1611yescharacteristic
715C2#2276611yescharacteristic
716C2#2277011yescharacteristic
717C2#2296211yescharacteristic
718C2#2296311yescharacteristic
719C2#2299511yescharacteristic
720C2#2299611yescharacteristic
subgroupG/H
center, socleC24C22×D4
commutatorC2×C4C22×C42
Frattini, cosocleC23×C4C24
prime radicalC23×D4C23
LCSG ▷ C2×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
3. C2×C8×C4⋊C4C2semidirect
6. C4⋊C42C2semidirect
7. #10884C2semidirect
8. #10880C2semidirect
9. #10849C2semidirect
10. #10841C2semidirect
22. D4×C4⋊C4C4semidirect
32. #1802C4semidirect
35. C4×#102C4semidirect
88. C2×C4⋊C8C2×C4semidirect
103. C2×C4×C8C2×C4semidirect
110. #384C2×C4semidirect
117. C4×C4⋊C4C2×C4semidirect
129. #340C2×C4semidirect
130. #340C2×C4semidirect
131. #340C2×C4semidirect
200. C4×D4C42semidirect
280. #102C4⋊C4direct (N × H)
444. C2×C8C2×C4⋊C4semidirect
469. C4⋊C4#102direct (N × H)
471. C4⋊C4C2×C4⋊C4semidirect
541. D4C4×C4⋊C4semidirect
696. C4C4×#102semidirect

Maximal subgroups

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

subgroupindex
C2×D4×C4⋊C42
C2×#18022
C2×C8×C4⋊C42
C2×C4×#1022
C4⋊C422
#108842
#108802
#108492
#108412
#107882