Finite Group Databasebeta

← C2×#26889 #6439624

Subgroups — C2×#26889 #6439624

Order 512.

3034 conjugacy classes of subgroups.

The subgroup lattice has 794 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#474C211yesmaximal, characteristic, complemented
2C22×C4×D8C211yesmaximal, characteristic, complemented
3C2×#2452C211yesmaximal, characteristic, complemented
4C2×#2366C211yesmaximal, characteristic, complemented
5#26889C2116yesmaximal, direct product factor
6C2×#2054C211yesmaximal, characteristic, complemented
7C2×#2041C211yesmaximal, characteristic, complemented
8C2×#2023C211yesmaximal, characteristic, complemented
9C2×#2011C211yesmaximal, characteristic
10C2×#1934C211yesmaximal, characteristic, complemented
11C2×#1925C211yesmaximal, characteristic, complemented
12C2×#1918C211yesmaximal, characteristic, complemented
13C2×#1916C211yesmaximal, characteristic, complemented
14C2×#1879C211yesmaximal, characteristic, complemented
15C2×#1879C211yesmaximal, characteristic, complemented
16C2×#1862C211yesmaximal, characteristic, complemented
17C23×D8C2211yescharacteristic
18C23×D8C2211yescharacteristic
19C22×C4⋊Q8C2211yescharacteristic
20C22×#127C2211yescharacteristic
21C22×C22⋊Q8—21no—
22C22×C4×D4—21no—
23C22×C4×D4C2211yescharacteristic
24C22×C4×D4C2211yescharacteristic
25C22×C4×D4C2211yescharacteristic
26C2×#474—28no—
27C2×#474C2218yescomplemented
28C2×C4×D8—28no—
29C2×C4×D8C2218yescomplemented
30C22×#107C2211yescharacteristic
31C22×#107C2211yescharacteristic
32C22×C4⋊C8C2211yescharacteristic
33C22×#102C2211yescharacteristic
34C22×#102C2211yescharacteristic
35C22×#102C2211yescharacteristic
36C22×#102C2211yescharacteristic
37C22×#102C2211yescharacteristic
38C22×#102C2211yescharacteristic
39C22×#102C2211yescharacteristic
40C22×#102C2211yescharacteristic
41C22×C4×C8C2211yescharacteristic
42#2452—24no—
43#2452C2218yescomplemented
44C2×#396—21no—
45C2×#393—21no—
46#2366—24no—
47#2366C2218yescomplemented
48C2×#390—21no—
49C2×#390C2211yescharacteristic
50C2×#390C2211yescharacteristic
51C2×#390C2211yescharacteristic
52C2×#390C2211yescharacteristic
53C2×#389C2211yescharacteristic
54C2×#389C2211yescharacteristic
55C2×#386—21no—
56C2×#386—21no—
57C2×#385—21no—
58C2×C4×C4⋊C4C2211yescharacteristic
59C2×C4×C4⋊C4C2211yescharacteristic
60#2054C2218yescomplemented
61#2041C2218yescomplemented
62#2023C2218yescomplemented
63#2011C2218yes—
64#1934C2218yescomplemented
65#1925C2218yescomplemented
66#1918C2218yescomplemented
67#1916C2218yescomplemented
68#1879C2218yescomplemented
69#1879C2218yescomplemented
70#1862C2218yescomplemented
71C2×#340C2211yescharacteristic
72C2×#340C2211yescharacteristic
73C2×#340C2211yescharacteristic
74C2×#340C2211yescharacteristic
75C2×#336C2211yescharacteristic
76C2×#336C2211yescharacteristic
77C2×#336C2211yescharacteristic
78C2×#336C2211yescharacteristic
79C23×Q8—21no—
80C23×D4—21no—
81C23×D4—21no—
82C23×D4C2311yescharacteristic
83C23×D4C2311yescharacteristic
84C23×D4C2311yescharacteristic
85C24×C4—21no—
86C24×C4—21no—
87C24×C4—21no—
88C22×D8—24no—
89C22×D8—24no—
90C22×D8—24no—
91C22×D8—24no—
92C22×D8—24no—
93C22×D8—42no—
94C22×D8C2314yes—
95C22×D8C2314yes—
96C23×C8C2311yescharacteristic
97C23×C8C2311yescharacteristic
98C23×C8C2311yescharacteristic
99C23×C8C2311yescharacteristic
100C2×C4⋊Q8—24no—
101C2×C4⋊Q8—22no—
102C2×C4⋊Q8—42no—
103C2×C4⋊Q8C2314yes—
104C2×#127—24no—
105C2×#127—24no—
106C2×#127—22no—
107C2×#127C2314yes—
108C2×C22⋊Q8—28no—
109C2×C22⋊Q8—48no—
110C2×C4×D4—28no—
111C2×C4×D4—24no—
112C2×C4×D4—24no—
113C2×C4×D4—24no—
114C2×C4×D4—22no—
115C2×C4×D4—22no—
116C2×C4×D4—22no—
117C2×C4×D4—42no—
118C2×C4×D4—42no—
119C2×C4×D4—42no—
120C2×C4×D4—48no—
121C2×C4×D4C2314yes—
122C2×C4×D4C2314yes—
123C2×C4×D4C2314yes—
124C22×C4⋊C4—21no—
125C22×C4⋊C4—21no—
126C22×C4⋊C4—21no—
127C22×C4⋊C4D411yescharacteristic
128C22×C4⋊C4D411yescharacteristic
129C22×C4⋊C4C2311yescharacteristic
130C22×C4⋊C4C2311yescharacteristic
131C22×C4⋊C4C2311yescharacteristic
132C22×C4⋊C4C2311yescharacteristic
133C22×C4⋊C4C2311yescharacteristic
134C22×C22⋊C4—21no—
135C22×C22⋊C4—21no—
136C22×C22⋊C4—21no—
137C22×C22⋊C4—21no—
138C22×C22⋊C4—21no—
139C22×C22⋊C4—21no—
140C22×C22⋊C4—21no—
141C22×C22⋊C4—21no—
142C22×C22⋊C4—21no—
143C22×C22⋊C4—21no—
144C22×C22⋊C4—21no—
145C22×C42—21no—
146C22×C42C2311yescharacteristic
147C22×C42C2311yescharacteristic
148C22×C42C2311yescharacteristic
149#474—232no—
150C4×D8—232no—
151C2×#107—24no—
152C2×#107D418yescomplemented
153C2×#107C2314yes—
154C2×#107C2314yes—
155C2×C4⋊C8—24no—
156C2×C4⋊C8C2314yes—
157C2×#102—24no—
158C2×#102—24no—
159C2×#102—24no—
160C2×#102—24no—
161C2×#102—24no—
162C2×#102—24no—
163C2×#102—24no—
164C2×#102—42no—
165C2×#102C2314yes—
166C2×#102C2314yes—
167C2×#102C2314yes—
168C2×#102C2314yes—
169C2×#102C2314yes—
170C2×#102C2314yes—
171C2×#102C2314yes—
172C2×#102C2314yes—
173C2×C4×C8—24no—
174C2×C4×C8C2314yes—
175#396—28no—
176#393—28no—
177#390—28no—
178#390—22no—
179#390—22no—
180#390—22no—
181#390—22no—
182#390C2314yes—
183#390C2314yes—
184#390C2314yes—
185#390C2314yes—
186#389—22no—
187#389—22no—
188#389C2314yes—
189#389C2314yes—
190#386—28no—
191#386—28no—
192#385—28no—
193C4×C4⋊C4—22no—
194C4×C4⋊C4D414yes—
195C4×C4⋊C4C2314yes—
196C4×C4⋊C4C2314yes—
197C2×#95—21no—
198C2×#95—21no—
199C2×#95—21no—
200C2×#95D411yescharacteristic
201C2×#95D411yescharacteristic
202#340C2314yes—
203#340C2314yes—
204#340C2314yes—
205#340C2314yes—
206#336C2314yes—
207#336C2314yes—
208#336C2314yes—
209#336C2314yes—
210C25—21no—
211C25—21no—
212C25—21no—
213C22×Q8—24no—
214C22×Q8—44no—
215C22×Q8—44no—
216C22×Q8—82no—
217C22×D4—28no—
218C22×D4—28no—
219C22×D4—22no—
220C22×D4—22no—
221C22×D4—22no—
222C22×D4—21no—
223C22×D4—21no—
224C22×D4—24no—
225C22×D4—21no—
226C22×D4—24no—
227C22×D4—22no—
228C22×D4—22no—
229C22×D4—22no—
230C22×D4—22no—
231C22×D4—22no—
232C22×D4—22no—
233C22×D4—22no—
234C22×D4—22no—
235C22×D4—22no—
236C22×D4—22no—
237C22×D4—22no—
238C22×D4—22no—
239C22×D4—44no—
240C22×D4—44no—
241C22×D4—82no—
242C22×D4—82no—
243C22×D4#4114yes—
244C22×D4#4114yes—
245C22×D4#4114yes—
246C22×D4C2412yes—
247C22×D4C2412yes—
248C22×D4C2412yes—
249C23×C4—21no—
250C23×C4—21no—
251C23×C4—21no—
252C23×C4—21no—
253C23×C4—21no—
254C23×C4—24no—
255C23×C4—24no—
256C23×C4—24no—
257C23×C4—44no—
258C23×C4—44no—
259C23×C4—44no—
260C23×C4—44no—
261C23×C4—44no—
262C23×C4—44no—
263C23×C4—82no—
264C23×C4—82no—
265C23×C4—82no—
266C23×C4C2×D411yescharacteristic
267C23×C4C2×D411yescharacteristic
268C23×C4C2×D411yescharacteristic
269C23×C4C2×D411yescharacteristic
270C23×C4C2×D411yescharacteristic
271C23×C4C2×D411yescharacteristic
272C23×C4C2411yescharacteristic
273C2×D8—232no—
274C2×D8—28no—
275C2×D8—28no—
276C2×D8—28no—
277C2×D8—28no—
278C2×D8—28no—
279C2×D8—44no—
280C2×D8—416no—
281C22×C8—22no—
282C22×C8—22no—
283C22×C8—22no—
284C22×C8—22no—
285C22×C8—22no—
286C22×C8—22no—
287C22×C8—22no—
288C22×C8—22no—
289C22×C8—22no—
290C22×C8—22no—
291C22×C8—22no—
292C22×C8C2×D414yes—
293C22×C8C2412yes—
294C22×C8C2412yes—
295C22×C8C2412yes—
296C22×C8C2412yes—
297C4⋊Q8—28no—
298C4⋊Q8—44no—
299C4⋊Q8—48no—
300#127—216no—
301#127—28no—
302#127—28no—
303C22⋊Q8—432no—
304C4×D4—28no—
305C4×D4—28no—
306C4×D4—28no—
307C4×D4—44no—
308C4×D4—44no—
309C4×D4—44no—
310C4×D4—48no—
311C4×D4—48no—
312C4×D4—48no—
313C4×D4—432no—
314C2×C4⋊C4—21no—
315C2×C4⋊C4—21no—
316C2×C4⋊C4—22no—
317C2×C4⋊C4—22no—
318C2×C4⋊C4—22no—
319C2×C4⋊C4—22no—
320C2×C4⋊C4—22no—
321C2×C4⋊C4—22no—
322C2×C4⋊C4—22no—
323C2×C4⋊C4—22no—
324C2×C4⋊C4—24no—
325C2×C4⋊C4—24no—
326C2×C4⋊C4—24no—
327C2×C4⋊C4—21no—
328C2×C4⋊C4—21no—
329C2×C4⋊C4—21no—
330C2×C4⋊C4—42no—
331C2×C4⋊C4—44no—
332C2×C4⋊C4—44no—
333C2×C4⋊C4—44no—
334C2×C4⋊C4D818yescomplemented
335C2×C4⋊C4C2×D414yes—
336C2×C4⋊C4C2×D414yes—
337C2×C4⋊C4C2×D414yes—
338C2×C4⋊C4C2×D414yes—
339C2×C4⋊C4C2412yes—
340C2×C4⋊C4C2412yes—
341C2×C4⋊C4C2412yes—
342C2×C4⋊C4C2412yes—
343C2×C4⋊C4C2412yes—
344C2×C22⋊C4—24no—
345C2×C22⋊C4—24no—
346C2×C22⋊C4—24no—
347C2×C22⋊C4—24no—
348C2×C22⋊C4—24no—
349C2×C22⋊C4—24no—
350C2×C22⋊C4—24no—
351C2×C22⋊C4—24no—
352C2×C22⋊C4—24no—
353C2×C22⋊C4—24no—
354C2×C22⋊C4—24no—
355C2×C22⋊C4—44no—
356C2×C22⋊C4—44no—
357C2×C22⋊C4—44no—
358C2×C22⋊C4—44no—
359C2×C22⋊C4—44no—
360C2×C22⋊C4—44no—
361C2×C22⋊C4—44no—
362C2×C22⋊C4—44no—
363C2×C22⋊C4—82no—
364C2×C22⋊C4—82no—
365C2×C22⋊C4—82no—
366C2×C42—22no—
367C2×C42—22no—
368C2×C42—22no—
369C2×C42—22no—
370C2×C42—22no—
371C2×C42—22no—
372C2×C42—24no—
373C2×C42—44no—
374C2×C42C2×D412yes—
375C2×C42C2×D412yes—
376C2×C42C2×D412yes—
377C2×C42C2412yes—
378C2×C42C2412yes—
379C2×C42C2412yes—
380#107—28no—
381#107C2×D4116yescomplemented
382C4⋊C8—28no—
383#102—28no—
384#102—28no—
385#102—28no—
386#102—28no—
387#102—28no—
388#102—28no—
389#102—28no—
390#102—44no—
391C4×C8—28no—
392#95—24no—
393#95—24no—
394#95—24no—
395#95C2×D414yes—
396#95C2×D414yes—
397C24—24no—
398C24—24no—
399C24—24no—
400C24—22no—
401C24—22no—
402C24—22no—
403C24—42no—
404C24—42no—
405C24—42no—
406C24—42no—
407C24—42no—
408C24—42no—
409C24—42no—
410C24—42no—
411C24—42no—
412C24—42no—
413C24—42no—
414C24—42no—
415C24—42no—
416C24—42no—
417C24—42no—
418C24—42no—
419C24—42no—
420C24—42no—
421C24C22×D411yescharacteristic
422C2×Q8—48no—
423C2×Q8—48no—
424C2×Q8—84no—
425C2×Q8—816no—
426C2×D4—216no—
427C2×D4—216no—
428C2×D4—28no—
429C2×D4—28no—
430C2×D4—24no—
431C2×D4—24no—
432C2×D4—28no—
433C2×D4—28no—
434C2×D4—24no—
435C2×D4—28no—
436C2×D4—28no—
437C2×D4—22no—
438C2×D4—22no—
439C2×D4—22no—
440C2×D4—22no—
441C2×D4—22no—
442C2×D4—22no—
443C2×D4—22no—
444C2×D4—22no—
445C2×D4—22no—
446C2×D4—22no—
447C2×D4—22no—
448C2×D4—22no—
449C2×D4—22no—
450C2×D4—22no—
451C2×D4—22no—
452C2×D4—432no—
453C2×D4—48no—
454C2×D4—44no—
455C2×D4—42no—
456C2×D4—44no—
457C2×D4—44no—
458C2×D4—42no—
459C2×D4—42no—
460C2×D4—42no—
461C2×D4—44no—
462C2×D4—44no—
463C2×D4—42no—
464C2×D4—42no—
465C2×D4—44no—
466C2×D4—48no—
467C2×D4—84no—
468C2×D4—84no—
469C2×D4—816no—
470C2×D4C2×#4114yes—
471C2×D4C2×#4114yes—
472C2×D4C2×#4114yes—
473C22×C4—22no—
474C22×C4—22no—
475C22×C4—22no—
476C22×C4—22no—
477C22×C4—22no—
478C22×C4—22no—
479C22×C4—22no—
480C22×C4—22no—
481C22×C4—22no—
482C22×C4—24no—
483C22×C4—24no—
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—48no—
496C22×C4—48no—
497C22×C4—48no—
498C22×C4—42no—
499C22×C4—42no—
500C22×C4—42no—
501C22×C4—42no—
502C22×C4—42no—
503C22×C4—42no—
504C22×C4—42no—
505C22×C4—42no—
506C22×C4—42no—
507C22×C4—42no—
508C22×C4—42no—
509C22×C4—42no—
510C22×C4—42no—
511C22×C4—48no—
512C22×C4—48no—
513C22×C4—48no—
514C22×C4—84no—
515C22×C4—84no—
516C22×C4—84no—
517C22×C4—816no—
518C22×C4—816no—
519C22×C4—816no—
520C22×C4C2×D814yes—
521C22×C4C2×D814yes—
522C22×C4C2×D814yes—
523C22×C4C22×D412yes—
524C22×C4C22×D412yes—
525C22×C4C22×D412yes—
526C22×C4C22×D412yes—
527C22×C4C22×D412yes—
528C22×C4C22×D412yes—
529C22×C4C22×D411yescharacteristic
530C22×C4C22×D412yes—
531C22×C4C2×#4112yes—
532C22×C4C2×#4112yes—
533C22×C4C2×#4112yes—
534C22×C4H(5,𝔽2)12yes—
535C22×C42−1+412yes—
536C22×C4C2511yescharacteristic
537D8—232no—
538D8—416no—
539C2×C8—28no—
540C2×C8—22no—
541C2×C8—22no—
542C2×C8—22no—
543C2×C8—22no—
544C2×C8—22no—
545C2×C8—22no—
546C2×C8—22no—
547C2×C8—22no—
548C2×C8—22no—
549C2×C8—22no—
550C2×C8—22no—
551C2×C8—44no—
552C2×C8—44no—
553C2×C8—44no—
554C2×C8C22×D414yes—
555C4⋊C4—24no—
556C4⋊C4—24no—
557C4⋊C4—22no—
558C4⋊C4—22no—
559C4⋊C4—22no—
560C4⋊C4—22no—
561C4⋊C4—22no—
562C4⋊C4—22no—
563C4⋊C4—22no—
564C4⋊C4—22no—
565C4⋊C4—44no—
566C4⋊C4—48no—
567C4⋊C4—42no—
568C4⋊C4—42no—
569C4⋊C4—42no—
570C4⋊C4—48no—
571C4⋊C4—48no—
572C4⋊C4C2×D8116yescomplemented
573C4⋊C4C22×D414yes—
574C4⋊C4C22×D414yes—
575C22⋊C4—48no—
576C22⋊C4—48no—
577C22⋊C4—48no—
578C22⋊C4—48no—
579C22⋊C4—48no—
580C22⋊C4—48no—
581C22⋊C4—48no—
582C22⋊C4—48no—
583C22⋊C4—84no—
584C22⋊C4—84no—
585C22⋊C4—84no—
586C42—24no—
587C42—24no—
588C42—24no—
589C42—22no—
590C42—22no—
591C42—22no—
592C42—22no—
593C42—22no—
594C42—22no—
595C42—48no—
596C23—24no—
597C23—24no—
598C23—24no—
599C23—48no—
600C23—48no—
601C23—48no—
602C23—48no—
603C23—48no—
604C23—48no—
605C23—42no—
606C23—42no—
607C23—42no—
608C23—42no—
609C23—42no—
610C23—42no—
611C23—48no—
612C23—48no—
613C23—48no—
614C23—42no—
615C23—42no—
616C23—42no—
617C23—42no—
618C23—42no—
619C23—42no—
620C23—42no—
621C23—42no—
622C23—42no—
623C23—42no—
624C23—42no—
625C23—42no—
626C23—84no—
627C23—84no—
628C23—84no—
629C23—84no—
630C23—84no—
631C23—84no—
632C23—84no—
633C23—84no—
634C23—84no—
635C23—84no—
636C23—84no—
637C23—84no—
638C23#52512yes—
639C23D4212yes—
640C23#54812yes—
641C23C22×D812yes—
642C23#57512yes—
643C23#57612yes—
644C23#57712yes—
645C23C23×D411yescharacteristic
646Q8—816no—
647D4—24no—
648D4—24no—
649D4—24no—
650D4—24no—
651D4—24no—
652D4—24no—
653D4—432no—
654D4—42no—
655D4—42no—
656D4—42no—
657D4—42no—
658D4—42no—
659D4—42no—
660D4—48no—
661D4—48no—
662D4—48no—
663D4—816no—
664C2×C4—28no—
665C2×C4—22no—
666C2×C4—22no—
667C2×C4—22no—
668C2×C4—28no—
669C2×C4—28no—
670C2×C4—22no—
671C2×C4—22no—
672C2×C4—22no—
673C2×C4—22no—
674C2×C4—22no—
675C2×C4—22no—
676C2×C4—24no—
677C2×C4—24no—
678C2×C4—22no—
679C2×C4—22no—
680C2×C4—22no—
681C2×C4—22no—
682C2×C4—22no—
683C2×C4—22no—
684C2×C4—44no—
685C2×C4—44no—
686C2×C4—44no—
687C2×C4—48no—
688C2×C4—48no—
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—42no—
702C2×C4—816no—
703C2×C4—816no—
704C2×C4—816no—
705C2×C4—84no—
706C2×C4—84no—
707C2×C4—84no—
708C2×C4#52514yes—
709C2×C4#52512yes—
710C2×C4#53914yes—
711C2×C4D4212yes—
712C2×C4#54814yes—
713C2×C4#54812yes—
714C2×C4#55114yes—
715C2×C4C22×D814yes—
716C2×C4C22×D814yes—
717C2×C4C22×D814yes—
718C2×C4C23×D411yescharacteristic
719C2×C4C22×#4111yescharacteristic
720C2×C4C22×#4111yescharacteristic
721C2×C4C22×#4111yescharacteristic
722C2×C4C2×H(5,𝔽2)11yescharacteristic
723C2×C4C2×2−1+411yescharacteristic
724C8—24no—
725C8—42no—
726C8—42no—
727C8—42no—
728C22—44no—
729C22—44no—
730C22—44no—
731C22—44no—
732C22—44no—
733C22—44no—
734C22—44no—
735C22—44no—
736C22—44no—
737C22—816no—
738C22—816no—
739C22—816no—
740C22—82no—
741C22—82no—
742C22—82no—
743C22—82no—
744C22—82no—
745C22—82no—
746C22—82no—
747C22—82no—
748C22—82no—
749C22—82no—
750C22—82no—
751C22—82no—
752C22#246314yes—
753C22#310014yes—
754C22#311814yes—
755C22#327114yes—
756C22D4×D814yes—
757C22#335814yes—
758C22#337014yes—
759C22C2×#52511yescharacteristic
760C22C2×D4211yescharacteristic
761C22C2×#54811yescharacteristic
762C22C23×D811yescharacteristic
763C22C2×#57511yescharacteristic
764C22C2×#57611yescharacteristic
765C22C2×#57711yescharacteristic
766C4—24no—
767C4—24no—
768C4—24no—
769C4—42no—
770C4—42no—
771C4—44no—
772C4—44no—
773C4—42no—
774C4—82no—
775C4—82no—
776C4—82no—
777C4#246314yes—
778C4C2×#52511yescharacteristic
779C4C2×#53911yescharacteristic
780C4C2×#54811yescharacteristic
781C4C2×#55111yescharacteristic
782C2—84no—
783C2—84no—
784C2—84no—
785C2#2688918yesdirect product factor
786C2C2×#246311yescharacteristic
787C2C2×#310011yescharacteristic
788C2C2×#311811yescharacteristic
789C2C2×#327111yescharacteristic
790C2C2×D4×D811yescharacteristic
791C2C2×#335811yescharacteristic
792C2C2×#337011yescharacteristic
subgroupG/H
center, socleC24C22×D4
commutator, Frattini, cosocleC22×C4C25
prime radicalC2×#2011C2
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C24 ◁ C2×C4×C4⋊C4 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C22×#474C2semidirect
2. C22×C4×D8C2semidirect
3. C2×#2452C2semidirect
4. C2×#2366C2semidirect
5. #26889C2direct (N × H)
6. C2×#2054C2semidirect
7. C2×#2041C2semidirect
8. C2×#2023C2semidirect
10. C2×#1934C2semidirect
11. C2×#1925C2semidirect
12. C2×#1918C2semidirect
13. C2×#1916C2semidirect
14. C2×#1879C2semidirect
15. C2×#1879C2semidirect
16. C2×#1862C2semidirect
27. C2×#474C22semidirect
29. C2×C4×D8C22semidirect
43. #2452C22semidirect
47. #2366C22semidirect
60. #2054C22semidirect
61. #2041C22semidirect
62. #2023C22semidirect
64. #1934C22semidirect
65. #1925C22semidirect
66. #1918C22semidirect
67. #1916C22semidirect
68. #1879C22semidirect
69. #1879C22semidirect
70. #1862C22semidirect
152. C2×#107D4semidirect
334. C2×C4⋊C4D8semidirect
381. #107C2×D4semidirect
572. C4⋊C4C2×D8semidirect
785. C2#26889direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#4742
C22×C4×D82
C2×#24522
C2×#23662
#268892
C2×#20542
C2×#20412
C2×#20232
C2×#20112
C2×#19342
C2×#19252
C2×#19182
C2×#19162
C2×#18792
C2×#18622