Finite Group Databasebeta

← #6468969

Subgroups — #6468969

Order 512.

2086 conjugacy classes of subgroups.

The subgroup lattice has 774 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C4×#533C211yesmaximal, characteristic, complemented
2C2×C4×#124C211yesmaximal, characteristic
3#29374C214yesmaximal, complemented
4#29262C212yesmaximal, complemented
5#28164C212yesmaximal, complemented
6#27686C212yesmaximal, complemented
7#27583C211yesmaximal, characteristic, complemented
8#27582C211yesmaximal, characteristic
9#24217C212yesmaximal
10#23934C211yesmaximal, characteristic, complemented
11#23933C211yesmaximal, characteristic
12#23817C212yesmaximal, complemented
13#23797C212yesmaximal, complemented
14C4×#464C214yesmaximal, complemented
15C4×#451C212yesmaximal, complemented
16C4×#450C212yesmaximal
17#20777C211yesmaximal, characteristic, complemented
18C2×#533C2211yescharacteristic
19C22×#124C2211yescharacteristic
20C22×C4×Q8C2211yescharacteristic
21C22×C4×D4C2211yescharacteristic
22C2×#464C2214yes—
23C2×#451C2212yes—
24C2×#450C2212yes—
25C2×C4×Q16C2214yescomplemented
26C2×C4×SD16C2214yes—
27C4×C4⋊Q8C2211yescharacteristic, complemented
28C4×C4⋊Q8C2211yescharacteristic, complemented
29C4×C4⋊Q8C2211yescharacteristic, complemented
30C4×C4⋊Q8C2211yescharacteristic, complemented
31C4×#125—21no—
32C4×#125—21no—
33C4×#124—21no—
34C4×#124—21no—
35C4×#124—21no—
36C4×#124—21no—
37C4×#124C2212yes—
38C4×#124C2212yes—
39C4×#124C2212yes—
40C4×#124C2212yes—
41C4×C22⋊Q8—21no—
42C4×C22⋊Q8—21no—
43C4×C22⋊Q8C2212yes—
44C4×C22⋊Q8C2212yes—
45#2296—21no—
46#2295—21no—
47#2295C2212yescomplemented
48C2×#391C2211yescharacteristic
49C2×#390C2211yescharacteristic
50C2×#388—21no—
51C2×#388—21no—
52#2285C2211yescharacteristic
53C2×#382C2211yescharacteristic
54C42×Q8—21no—
55C42×Q8C2212yescomplemented
56C4×#117—21no—
57C2×C4×C22⋊C4—21no—
58C2×C4×C22⋊C4—21no—
59C2×C43C2211yescharacteristic
60#2101C2214yescomplemented
61#2097C2214yescomplemented
62#2096C2212yescomplemented
63#2093C2212yes—
64#2072C2212yescomplemented
65#2071C2212yes—
66#2042C2214yes—
67#2024C2212yescomplemented
68#2023C2212yes—
69#2016C2212yescomplemented
70#2015C2214yes—
71#2013C2212yes—
72#1983C2214yes—
73#1949C2214yescomplemented
74#1927C2214yescomplemented
75#1925C2214yes—
76#1880C2214yes—
77#1878C2214yescomplemented
78#1878C2214yescomplemented
79#1877C2214yes—
80#1872C2212yes—
81#1872C2212yes—
82#1864C2214yes—
83#1863C2214yescomplemented
84#1853C2212yes—
85#1852C2212yes—
86#1839C2212yescomplemented
87#1831C2212yescomplemented
88#1817C2211yescharacteristic
89#1817C2211yescharacteristic
90#1805C2214yescomplemented
91#1797C2212yes—
92#1787C2212yes—
93#1786C2212yes—
94C4×C4⋊C8C2212yescomplemented
95C4×#103C2214yescomplemented
96C4×#102C2214yes—
97C4×C22⋊C8C2212yes—
98#1744C2212yescomplemented
99C23×Q8C2311yescharacteristic
100C23×D4C2311yescharacteristic
101C24×C4—21no—
102C22×Q16C2314yes—
103C22×SD16C2314yes—
104#533—28no—
105C2×C4⋊Q8C2311yescharacteristic
106C2×C4⋊Q8C2311yescharacteristic
107C2×#125—21no—
108C2×#124—28no—
109C2×#124—21no—
110C2×#124—21no—
111C2×#124C2312yes—
112C2×#124C2312yes—
113C2×C22⋊Q8—21no—
114C2×C22⋊Q8C2312yes—
115C2×C4×Q8—21no—
116C2×C4×Q8—21no—
117C2×C4×Q8—21no—
118C2×C4×Q8—21no—
119C2×C4×Q8—21no—
120C2×C4×Q8—44no—
121C2×C4×Q8C2312yes—
122C2×C4×Q8C2312yes—
123C2×C4×Q8C2312yes—
124C2×C4×Q8C2312yes—
125C2×C4×Q8C2312yes—
126C2×C4×D4—21no—
127C2×C4×D4—21no—
128C2×C4×D4—44no—
129C2×C4×D4C2312yes—
130C2×C4×D4C2312yes—
131C2×#117—21no—
132C2×#117—21no—
133C22×C4⋊C4—21no—
134C22×C4⋊C4C2311yescharacteristic
135C22×C4⋊C4C2311yescharacteristic
136C22×C22⋊C4—21no—
137C22×C22⋊C4—21no—
138C22×C22⋊C4—21no—
139C22×C22⋊C4—21no—
140C22×C22⋊C4—21no—
141C22×C42—21no—
142C22×C42D411yescharacteristic
143C22×C42D411yescharacteristic
144C22×C42D411yescharacteristic
145C22×C42D411yescharacteristic
146C22×C42C2311yescharacteristic
147C22×C42C2311yescharacteristic
148C22×C42C2311yescharacteristic
149#464—216no—
150#451—28no—
151#450—28no—
152C4×Q16—48no—
153C4×SD16—48no—
154C2×#107C2314yes—
155C2×#106C2314yes—
156C2×C4⋊C8C2314yes—
157C2×#103C2314yes—
158C2×#103C2314yes—
159C2×#103C2314yes—
160C2×#103C2314yes—
161C2×#103C2314yes—
162C2×#102C2314yes—
163C2×#102C2314yes—
164C2×#102C2314yes—
165C2×C22⋊C8C2312yes—
166C2×C22⋊C8C2312yes—
167C2×C4×C8C2314yes—
168#391—21no—
169#391—21no—
170#391—21no—
171#391—21no—
172#391C2312yes—
173#391C2312yes—
174#391C2312yes—
175#391C2312yes—
176#390—21no—
177#390—21no—
178#390C2312yes—
179#390C2312yes—
180#389—21no—
181#389—21no—
182#389—21no—
183#389—21no—
184#389—21no—
185#389—21no—
186#389C2312yes—
187#389C2312yes—
188#388—22no—
189#388—22no—
190#388—22no—
191#388—22no—
192#388—22no—
193#388—22no—
194#388—22no—
195#388—22no—
196#387—22no—
197#387—22no—
198#387—22no—
199#387—22no—
200#385—22no—
201#385—22no—
202#384C2311yescharacteristic
203#384C2311yescharacteristic
204#382—21no—
205#382—21no—
206#382—21no—
207#382C2312yes—
208#382C2312yes—
209#380—21no—
210#380C2312yes—
211C4×C4⋊C4—21no—
212C4×C4⋊C4—21no—
213C4×C4⋊C4—21no—
214C4×C4⋊C4—21no—
215C4×C4⋊C4—22no—
216C4×C4⋊C4—22no—
217C4×C4⋊C4—22no—
218C4×C4⋊C4—22no—
219C4×C4⋊C4—21no—
220C4×C4⋊C4—21no—
221C4×C4⋊C4—21no—
222C4×C4⋊C4—22no—
223C4×C4⋊C4—22no—
224C4×C4⋊C4C2312yes—
225C4×C4⋊C4C2312yes—
226C4×C4⋊C4C2312yes—
227C4×C22⋊C4—22no—
228C4×C22⋊C4—22no—
229C4×C22⋊C4—22no—
230C4×C22⋊C4—22no—
231C4×C22⋊C4—22no—
232C4×C22⋊C4—22no—
233C4×C22⋊C4—22no—
234C4×C22⋊C4—22no—
235C4×C22⋊C4—22no—
236C4×C22⋊C4—22no—
237#376—22no—
238C2×#95—21no—
239C2×#95—21no—
240C2×#95—21no—
241C2×#95—21no—
242C43—22no—
243C43D411yescharacteristic
244C43D411yescharacteristic
245C43D411yescharacteristic
246C43D411yescharacteristic
247C43C2311yescharacteristic
248C43C2311yescharacteristic
249C43C2311yescharacteristic
250C43C2311yescharacteristic
251#340C2314yes—
252#340C2314yes—
253#340C2314yes—
254#340C2314yes—
255#336C2314yes—
256#336C2312yes—
257#336C2312yes—
258#336C2312yes—
259#336C2312yes—
260#336C2314yes—
261C25—21no—
262C22×Q8—24no—
263C22×Q8—21no—
264C22×Q8—21no—
265C22×Q8—24no—
266C22×Q8—42no—
267C22×Q8C2412yes—
268C22×Q8C2412yes—
269C22×D4—24no—
270C22×D4—21no—
271C22×D4—24no—
272C22×D4—42no—
273C22×D4C2412yes—
274C23×C4—21no—
275C23×C4—21no—
276C23×C4—21no—
277C23×C4—22no—
278C23×C4—22no—
279C23×C4—44no—
280C23×C4—44no—
281C23×C4—44no—
282C23×C4C2×D411yescharacteristic
283C23×C4C2×D411yescharacteristic
284C23×C4C2×D411yescharacteristic
285C23×C4C2×D411yescharacteristic
286C23×C4C2×D411yescharacteristic
287C23×C4C2×D411yescharacteristic
288C23×C4C2411yescharacteristic
289C2×Q16—28no—
290C2×Q16—28no—
291C2×Q16—44no—
292C2×SD16—28no—
293C2×SD16—28no—
294C2×SD16—44no—
295C22×C8C2414yes—
296C22×C8C2414yes—
297C4⋊Q8—24no—
298C4⋊Q8—24no—
299#125—28no—
300#124—28no—
301#124—28no—
302#124—24no—
303#124—24no—
304#124—24no—
305#124#4118yes—
306C22⋊Q8—28no—
307C22⋊Q8—24no—
308C22⋊Q8#4118yes—
309C4×Q8—28no—
310C4×Q8—24no—
311C4×Q8—24no—
312C4×Q8—28no—
313C4×Q8—28no—
314C4×Q8—28no—
315C4×Q8—44no—
316C4×Q8—44no—
317C4×Q8—44no—
318C4×Q8—44no—
319C4×Q8—44no—
320C4×D4—28no—
321C4×D4—44no—
322C4×D4—44no—
323C4×D4—44no—
324#117—28no—
325#117—44no—
326C2×C4⋊C4—21no—
327C2×C4⋊C4—21no—
328C2×C4⋊C4—21no—
329C2×C4⋊C4—22no—
330C2×C4⋊C4—22no—
331C2×C4⋊C4—22no—
332C2×C4⋊C4—22no—
333C2×C4⋊C4—21no—
334C2×C4⋊C4—21no—
335C2×C4⋊C4—21no—
336C2×C4⋊C4—21no—
337C2×C4⋊C4—21no—
338C2×C4⋊C4—21no—
339C2×C4⋊C4—22no—
340C2×C4⋊C4—22no—
341C2×C4⋊C4—22no—
342C2×C4⋊C4—22no—
343C2×C4⋊C4—42no—
344C2×C4⋊C4—42no—
345C2×C4⋊C4—44no—
346C2×C4⋊C4C2412yes—
347C2×C4⋊C4C2412yes—
348C2×C4⋊C4C2412yes—
349C2×C4⋊C4C2412yes—
350C2×C4⋊C4C2412yes—
351C2×C22⋊C4—28no—
352C2×C22⋊C4—28no—
353C2×C22⋊C4—22no—
354C2×C22⋊C4—22no—
355C2×C22⋊C4—22no—
356C2×C22⋊C4—22no—
357C2×C22⋊C4—22no—
358C2×C22⋊C4—22no—
359C2×C22⋊C4—22no—
360C2×C22⋊C4—22no—
361C2×C22⋊C4—22no—
362C2×C22⋊C4—22no—
363C2×C22⋊C4—22no—
364C2×C22⋊C4—22no—
365C2×C22⋊C4—44no—
366C2×C22⋊C4—44no—
367C2×C22⋊C4—44no—
368C2×C42—24no—
369C2×C42—24no—
370C2×C42—22no—
371C2×C42—24no—
372C2×C42—24no—
373C2×C42—24no—
374C2×C42—22no—
375C2×C42—22no—
376C2×C42—22no—
377C2×C42—22no—
378C2×C42—22no—
379C2×C42—22no—
380C2×C42—22no—
381C2×C42—42no—
382C2×C42—42no—
383C2×C42—44no—
384C2×C42C2×D411yescharacteristic
385C2×C42C2×D411yescharacteristic
386C2×C42C2×D411yescharacteristic
387C2×C42C2×D411yescharacteristic
388C2×C42C2×D411yescharacteristic
389C2×C42C2×D411yescharacteristic
390C2×C42C2×D411yescharacteristic
391C2×C42C2×D411yescharacteristic
392C2×C42C2×D411yescharacteristic
393C2×C42C2×D411yescharacteristic
394C2×C42C2×D411yescharacteristic
395C2×C42C2×D411yescharacteristic
396C2×C42C2×D411yescharacteristic
397C2×C42C2×D411yescharacteristic
398C2×C42C2×D411yescharacteristic
399C2×C42C2×D411yescharacteristic
400C2×C42C2×D411yescharacteristic
401C2×C42C2×D411yescharacteristic
402C2×C42C2×D411yescharacteristic
403C2×C42C2×D411yescharacteristic
404C2×C42C2×D411yescharacteristic
405C2×C42C2×D411yescharacteristic
406C2×C42C2411yescharacteristic
407C2×C42C2411yescharacteristic
408C2×C42C2411yescharacteristic
409C2×C42C2411yescharacteristic
410C2×C42C2411yescharacteristic
411C2×C42C2411yescharacteristic
412#107—44no—
413#106—44no—
414C4⋊C8—28no—
415#103—28no—
416#103—28no—
417#103—44no—
418#103—44no—
419#103—44no—
420#102—28no—
421#102—28no—
422#102—44no—
423C22⋊C8—24no—
424C22⋊C8—24no—
425C4×C8—28no—
426#95—22no—
427#95—22no—
428#95—22no—
429#95—22no—
430#95—22no—
431#95—22no—
432#95—22no—
433#95—22no—
434#95—22no—
435#95—22no—
436#95—22no—
437#95—22no—
438#95—22no—
439#95—22no—
440#95—22no—
441#95—22no—
442#95—22no—
443#95—22no—
444C24—24no—
445C24—22no—
446C24—42no—
447C24—42no—
448C24—42no—
449C24—42no—
450C24—42no—
451C24—42no—
452C24C22×D411yescharacteristic
453C2×Q8—24no—
454C2×Q8—24no—
455C2×Q8—22no—
456C2×Q8—22no—
457C2×Q8—24no—
458C2×Q8—24no—
459C2×Q8—24no—
460C2×Q8—24no—
461C2×Q8—416no—
462C2×Q8—42no—
463C2×Q8—42no—
464C2×Q8—42no—
465C2×Q8—42no—
466C2×Q8C2×#4114yes—
467C2×Q8C2×#4114yes—
468C2×D4—24no—
469C2×D4—24no—
470C2×D4—22no—
471C2×D4—24no—
472C2×D4—416no—
473C2×D4—42no—
474C2×D4—42no—
475C2×D4C2×#4114yes—
476C22×C4—22no—
477C22×C4—22no—
478C22×C4—22no—
479C22×C4—22no—
480C22×C4—22no—
481C22×C4—22no—
482C22×C4—24no—
483C22×C4—22no—
484C22×C4—22no—
485C22×C4—22no—
486C22×C4—22no—
487C22×C4—22no—
488C22×C4—22no—
489C22×C4—22no—
490C22×C4—22no—
491C22×C4—22no—
492C22×C4—22no—
493C22×C4—22no—
494C22×C4—22no—
495C22×C4—22no—
496C22×C4—22no—
497C22×C4—22no—
498C22×C4—41no—
499C22×C4—41no—
500C22×C4—41no—
501C22×C4—41no—
502C22×C4—44no—
503C22×C4—44no—
504C22×C4—42no—
505C22×C4—42no—
506C22×C4—42no—
507C22×C4—42no—
508C22×C4—42no—
509C22×C4—42no—
510C22×C4—42no—
511C22×C4—42no—
512C22×C4—44no—
513C22×C4—44no—
514C22×C4—44no—
515C22×C4—44no—
516C22×C4—816no—
517C22×C4#13514yes—
518C22×C4#13714yes—
519C22×C4C22×D411yescharacteristic
520C22×C4C22×D411yescharacteristic
521C22×C4C22×D411yescharacteristic
522C22×C4C22×D411yescharacteristic
523C22×C4C22×D411yescharacteristic
524C22×C4C22×D411yescharacteristic
525C22×C4C22×D411yescharacteristic
526C22×C4C22×D411yescharacteristic
527C22×C4C22×D411yescharacteristic
528C22×C4C22×D411yescharacteristic
529C22×C4C22×D411yescharacteristic
530C22×C4C22×D411yescharacteristic
531C22×C4C22×D411yescharacteristic
532C22×C4C2×#4114yes—
533C22×C4C2511yescharacteristic
534Q16—416no—
535SD16—416no—
536C2×C8—24no—
537C2×C8—24no—
538C2×C8—24no—
539C2×C8—24no—
540C2×C8—24no—
541C2×C8—24no—
542C4⋊C4—24no—
543C4⋊C4—24no—
544C4⋊C4—28no—
545C4⋊C4—24no—
546C4⋊C4—28no—
547C4⋊C4—22no—
548C4⋊C4—24no—
549C4⋊C4—24no—
550C4⋊C4—24no—
551C4⋊C4—24no—
552C4⋊C4—42no—
553C4⋊C4—42no—
554C4⋊C4—44no—
555C4⋊C4—42no—
556C4⋊C4—44no—
557C4⋊C4—44no—
558C4⋊C4—44no—
559C4⋊C4—44no—
560C4⋊C4—44no—
561C4⋊C4—42no—
562C4⋊C4—42no—
563C4⋊C4—42no—
564C4⋊C4C2×#4114yes—
565C22⋊C4—28no—
566C22⋊C4—28no—
567C22⋊C4—28no—
568C22⋊C4—28no—
569C22⋊C4—28no—
570C22⋊C4—44no—
571C22⋊C4—44no—
572C22⋊C4—44no—
573C22⋊C4—44no—
574C22⋊C4—44no—
575C22⋊C4—44no—
576C22⋊C4—44no—
577C42—28no—
578C42—22no—
579C42—22no—
580C42—22no—
581C42—22no—
582C42—22no—
583C42—22no—
584C42—22no—
585C42—22no—
586C42—22no—
587C42—22no—
588C42—22no—
589C42—22no—
590C42—22no—
591C42—22no—
592C42—22no—
593C42—22no—
594C42—22no—
595C42—22no—
596C42—22no—
597C42—22no—
598C42—22no—
599C42—22no—
600C42—41no—
601C42—41no—
602C42—41no—
603C42—41no—
604C42—44no—
605C42—44no—
606C42—44no—
607C42—44no—
608C42—44no—
609C42—44no—
610C42—44no—
611C42C2×#4114yes—
612C42H(5,𝔽2)14yes—
613C23—21no—
614C23—21no—
615C23—21no—
616C23—21no—
617C23—24no—
618C23—48no—
619C23—48no—
620C23—48no—
621C23—42no—
622C23—42no—
623C23—42no—
624C23—42no—
625C23—42no—
626C23—42no—
627C23—84no—
628C23—84no—
629C23—84no—
630C23—84no—
631C23#52512yes—
632C23C2×#13512yes—
633C23C2×#13712yes—
634C23C23×D411yescharacteristic
635Q8—28no—
636Q8—28no—
637Q8—48no—
638Q8—48no—
639Q8—44no—
640Q8—44no—
641D4—28no—
642D4—48no—
643D4—44no—
644C2×C4—28no—
645C2×C4—21no—
646C2×C4—21no—
647C2×C4—21no—
648C2×C4—21no—
649C2×C4—21no—
650C2×C4—21no—
651C2×C4—21no—
652C2×C4—21no—
653C2×C4—21no—
654C2×C4—21no—
655C2×C4—21no—
656C2×C4—21no—
657C2×C4—21no—
658C2×C4—21no—
659C2×C4—21no—
660C2×C4—21no—
661C2×C4—28no—
662C2×C4—28no—
663C2×C4—21no—
664C2×C4—21no—
665C2×C4—21no—
666C2×C4—24no—
667C2×C4—24no—
668C2×C4—24no—
669C2×C4—21no—
670C2×C4—21no—
671C2×C4—21no—
672C2×C4—21no—
673C2×C4—21no—
674C2×C4—21no—
675C2×C4—21no—
676C2×C4—21no—
677C2×C4—21no—
678C2×C4—44no—
679C2×C4—44no—
680C2×C4—44no—
681C2×C4—44no—
682C2×C4—48no—
683C2×C4—42no—
684C2×C4—42no—
685C2×C4—42no—
686C2×C4—42no—
687C2×C4—42no—
688C2×C4—42no—
689C2×C4—42no—
690C2×C4—42no—
691C2×C4—42no—
692C2×C4—42no—
693C2×C4—42no—
694C2×C4—42no—
695C2×C4—42no—
696C2×C4—42no—
697C2×C4—42no—
698C2×C4—42no—
699C2×C4—42no—
700C2×C4—42no—
701C2×C4—88no—
702C2×C4—84no—
703C2×C4—84no—
704C2×C4—88no—
705C2×C4#52512yes—
706C2×C4#52512yes—
707C2×C4#52512yes—
708C2×C4#53512yes—
709C2×C4#53512yes—
710C2×C4C2×#13512yes—
711C2×C4C2×#13512yes—
712C2×C4C2×#13712yes—
713C2×C4C2×#13712yes—
714C2×C4#57512yes—
715C2×C4#57512yes—
716C2×C4C22×#4112yes—
717C2×C4C22×#4112yes—
718C2×C4C2×H(5,𝔽2)12yes—
719C8—44no—
720C8—44no—
721C22—22no—
722C22—22no—
723C22—22no—
724C22—22no—
725C22—22no—
726C22—22no—
727C22—44no—
728C22—44no—
729C22—44no—
730C22—816no—
731C22—82no—
732C22—82no—
733C22—82no—
734C22—82no—
735C22#310814yes—
736C22C2×#52511yescharacteristic
737C22C2×#52511yescharacteristic
738C22C2×#53511yescharacteristic
739C22C22×#13511yescharacteristic
740C22C22×#13711yescharacteristic
741C22C2×#57511yescharacteristic
742C22C2×#57511yescharacteristic
743C4—22no—
744C4—22no—
745C4—22no—
746C4—22no—
747C4—22no—
748C4—22no—
749C4—22no—
750C4—22no—
751C4—41no—
752C4—41no—
753C4—41no—
754C4—44no—
755C4—44no—
756C4—41no—
757C4—44no—
758C4—82no—
759C4—82no—
760C4—82no—
761C4—82no—
762C4#321514yes—
763C4#348114yes—
764C2—24no—
765C2—84no—
766C2#3496311yescharacteristic
767C2C2×#310811yescharacteristic
768C2#6053611yescharacteristic
769C2#6056211yescharacteristic
770C2#6056311yescharacteristic
771C2#6078211yescharacteristic
772C2C2×#321511yescharacteristic
subgroupG/H
centerC22×C4C22×D4
commutator, Frattini, cosocleC22×C4C25
socleC23C23×D4
prime radicalC23×D4C23
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C22×C4 ◁ C2×C43 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C4×#533C2semidirect
3. #29374C2semidirect
4. #29262C2semidirect
5. #28164C2semidirect
6. #27686C2semidirect
7. #27583C2semidirect
10. #23934C2semidirect
12. #23817C2semidirect
13. #23797C2semidirect
14. C4×#464C2semidirect
15. C4×#451C2semidirect
17. #20777C2semidirect
25. C2×C4×Q16C22semidirect
27. C4×C4⋊Q8C22semidirect
28. C4×C4⋊Q8C22semidirect
29. C4×C4⋊Q8C22semidirect
30. C4×C4⋊Q8C22semidirect
47. #2295C22semidirect
55. C42×Q8C22semidirect
60. #2101C22semidirect
61. #2097C22semidirect
62. #2096C22semidirect
64. #2072C22semidirect
67. #2024C22semidirect
69. #2016C22semidirect
73. #1949C22semidirect
74. #1927C22semidirect
77. #1878C22semidirect
78. #1878C22semidirect
83. #1863C22semidirect
86. #1839C22semidirect
87. #1831C22semidirect
90. #1805C22semidirect
94. C4×C4⋊C8C22semidirect
95. C4×#103C22semidirect
98. #1744C22semidirect

Maximal subgroups

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

subgroupindex
C4×#5332
C2×C4×#1242
#293742
#292622
#281642
#276862
#275832
#275822
#242172
#239342
#239332
#238172
#237972
C4×#4642
C4×#4512
C4×#4502
#207772