Finite Group Databasebeta

← C2×#22158 #6375845

Subgroups — C2×#22158 #6375845

Order 512.

2728 conjugacy classes of subgroups.

The subgroup lattice has 773 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#459C211yesmaximal, characteristic
2C2×#2328C211yesmaximal, characteristic, complemented
3C2×#2319C211yesmaximal, characteristic, complemented
4#22158C2116yesmaximal, direct product factor
5C2×#1982C211yesmaximal, characteristic, complemented
6C2×#1972C211yesmaximal, characteristic, complemented
7C2×#1970C211yesmaximal, characteristic, complemented
8C2×#1949C211yesmaximal, characteristic, complemented
9C2×#1936C211yesmaximal, characteristic, complemented
10C2×#1934C211yesmaximal, characteristic, complemented
11C2×#1879C211yesmaximal, characteristic, complemented
12C2×#1879C211yesmaximal, characteristic, complemented
13C2×#1864C211yesmaximal, characteristic, complemented
14C2×#1862C211yesmaximal, characteristic, complemented
15C2×#1804C211yesmaximal, characteristic, complemented
16C2×#1768C211yesmaximal, characteristic, complemented
17C23×D8C2211yescharacteristic
18C23×D8C2211yescharacteristic
19C22×#127C2211yescharacteristic
20C22×C4×D4C2211yescharacteristic
21C22×C4×D4C2211yescharacteristic
22C22×C4×D4C2211yescharacteristic
23C2×#459C4116yescomplemented
24C2×#459C2218yes—
25C22×#107C2211yescharacteristic
26C22×#106C2211yescharacteristic
27C22×C4⋊C8C2211yescharacteristic
28C22×C4⋊C8C2211yescharacteristic
29C22×#102C2211yescharacteristic
30C22×#102C2211yescharacteristic
31C22×#102C2211yescharacteristic
32C22×#102C2211yescharacteristic
33C22×#102C2211yescharacteristic
34C22×#102C2211yescharacteristic
35C22×#102C2211yescharacteristic
36C22×#102C2211yescharacteristic
37C22×#97C2211yescharacteristic
38C22×C4×C8C2211yescharacteristic
39#2328—24no—
40#2328C2218yescomplemented
41#2319—24no—
42#2319C2218yescomplemented
43C2×#390C2211yescharacteristic
44C2×#390C2211yescharacteristic
45C2×#390C2211yescharacteristic
46C2×#390C2211yescharacteristic
47C2×#389C2211yescharacteristic
48C2×#389C2211yescharacteristic
49C2×#388—21no—
50C2×#388—21no—
51C2×#386—21no—
52C2×#386—21no—
53C2×#386—21no—
54C2×#386—21no—
55C2×#382C2211yescharacteristic
56C2×#381—21no—
57C2×#380—21no—
58C2×C4×C4⋊C4C2211yescharacteristic
59C2×#376C2211yescharacteristic
60#1982C2218yescomplemented
61#1972C2218yescomplemented
62#1970C2218yescomplemented
63#1949C2218yescomplemented
64#1936C2218yescomplemented
65#1934C2218yescomplemented
66#1879C2218yescomplemented
67#1879C2218yescomplemented
68#1864C2218yescomplemented
69#1862C2218yescomplemented
70#1804C2218yescomplemented
71#1768C2218yescomplemented
72C2×#340C2211yescharacteristic
73C2×#340C2211yescharacteristic
74C2×#340C2211yescharacteristic
75C2×#340C2211yescharacteristic
76C2×#336C2211yescharacteristic
77C2×#336C2211yescharacteristic
78C23×D4—21no—
79C23×D4—21no—
80C23×D4C2311yescharacteristic
81C23×D4C2311yescharacteristic
82C23×D4C2311yescharacteristic
83C24×C4—21no—
84C24×C4—21no—
85C24×C4—21no—
86C22×D8—42no—
87C22×D8—42no—
88C22×D8—42no—
89C22×D8—42no—
90C22×D8C2×C418yescomplemented
91C22×D8C2×C418yescomplemented
92C22×D8C2314yes—
93C22×D8C2314yes—
94C23×C8C2311yescharacteristic
95C23×C8C2311yescharacteristic
96C23×C8C2311yescharacteristic
97C23×C8C2311yescharacteristic
98C2×#127—22no—
99C2×#127—24no—
100C2×#127C2×C418yes—
101C2×#127C2314yes—
102C2×C4×D4—22no—
103C2×C4×D4—22no—
104C2×C4×D4—22no—
105C2×C4×D4—24no—
106C2×C4×D4—42no—
107C2×C4×D4—42no—
108C2×C4×D4—42no—
109C2×C4×D4—42no—
110C2×C4×D4C2×C418yescomplemented
111C2×C4×D4C2314yes—
112C2×C4×D4C2314yes—
113C2×C4×D4C2314yes—
114C22×C4⋊C4—21no—
115C22×C4⋊C4—21no—
116C22×C4⋊C4C2311yescharacteristic
117C22×C4⋊C4C2311yescharacteristic
118C22×C4⋊C4C2311yescharacteristic
119C22×C4⋊C4C2311yescharacteristic
120C22×C4⋊C4C2311yescharacteristic
121C22×C22⋊C4—21no—
122C22×C22⋊C4—21no—
123C22×C22⋊C4—21no—
124C22×C22⋊C4—21no—
125C22×C22⋊C4—21no—
126C22×C22⋊C4—21no—
127C22×C22⋊C4—21no—
128C22×C22⋊C4—21no—
129C22×C22⋊C4—21no—
130C22×C22⋊C4—21no—
131C22×C22⋊C4—21no—
132C22×C42—21no—
133C22×C42C2311yescharacteristic
134C22×C42C2311yescharacteristic
135C22×C42C2311yescharacteristic
136#459C2×C4164yescomplemented
137C2×#107—42no—
138C2×#107C2314yes—
139C2×#106—42no—
140C2×#106C2314yes—
141C2×C4⋊C8—24no—
142C2×C4⋊C8C2×C418yescomplemented
143C2×C4⋊C8C2314yes—
144C2×C4⋊C8C2314yes—
145C2×#102—42no—
146C2×#102—42no—
147C2×#102—42no—
148C2×#102—42no—
149C2×#102—42no—
150C2×#102—42no—
151C2×#102C2×C418yescomplemented
152C2×#102C2×C418yescomplemented
153C2×#102C2314yes—
154C2×#102C2314yes—
155C2×#102C2314yes—
156C2×#102C2314yes—
157C2×#102C2314yes—
158C2×#102C2314yes—
159C2×#102C2314yes—
160C2×#102C2314yes—
161C2×#97—42no—
162C2×#97C2314yes—
163C2×C4×C8—42no—
164C2×C4×C8C2314yes—
165#390—22no—
166#390—22no—
167#390—22no—
168#390—22no—
169#390C2314yes—
170#390C2314yes—
171#390C2314yes—
172#390C2314yes—
173#389—22no—
174#389—22no—
175#389C2314yes—
176#389C2314yes—
177#388—28no—
178#388—28no—
179#386—28no—
180#386—28no—
181#386—28no—
182#386—28no—
183#382—22no—
184#382C2314yes—
185#381—28no—
186#380—28no—
187C4×C4⋊C4—22no—
188C4×C4⋊C4C2314yes—
189#376D414yes—
190#376C2314yes—
191C2×#95—21no—
192C2×#95—21no—
193C2×#95—21no—
194C2×#95—21no—
195C2×#95—21no—
196C2×#95D411yescharacteristic
197C2×#95D411yescharacteristic
198C2×#95D411yescharacteristic
199C2×#95D411yescharacteristic
200#340C2314yes—
201#340C2314yes—
202#340C2314yes—
203#340C2314yes—
204#336C2314yes—
205#336C2314yes—
206C25—21no—
207C25—21no—
208C25—21no—
209C22×D4—28no—
210C22×D4—28no—
211C22×D4—21no—
212C22×D4—21no—
213C22×D4—21no—
214C22×D4—24no—
215C22×D4—24no—
216C22×D4—22no—
217C22×D4—22no—
218C22×D4—22no—
219C22×D4—22no—
220C22×D4—22no—
221C22×D4—22no—
222C22×D4—22no—
223C22×D4—22no—
224C22×D4—22no—
225C22×D4—22no—
226C22×D4—22no—
227C22×D4—22no—
228C22×D4—22no—
229C22×D4—22no—
230C22×D4—22no—
231C22×D4—82no—
232C22×D4—82no—
233C22×D4—82no—
234C22×D4—82no—
235C22×D4C22×C414yes—
236C22×D4C22×C414yes—
237C22×D4C22×C414yes—
238C22×D4C2412yes—
239C22×D4C2412yes—
240C22×D4C2412yes—
241C23×C4—21no—
242C23×C4—28no—
243C23×C4—24no—
244C23×C4—21no—
245C23×C4—21no—
246C23×C4—21no—
247C23×C4—21no—
248C23×C4—24no—
249C23×C4—24no—
250C23×C4—44no—
251C23×C4—44no—
252C23×C4—82no—
253C23×C4—82no—
254C23×C4—82no—
255C23×C4—82no—
256C23×C4—82no—
257C23×C4—82no—
258C23×C4C2×D411yescharacteristic
259C23×C4C2×D411yescharacteristic
260C23×C4C2×D411yescharacteristic
261C23×C4C2×D411yescharacteristic
262C23×C4C2×D411yescharacteristic
263C23×C4C2×D411yescharacteristic
264C23×C4C2411yescharacteristic
265C2×D8—416no—
266C2×D8—416no—
267C2×D8—44no—
268C2×D8—44no—
269C2×D8—44no—
270C2×D8—44no—
271C2×D8C22×C4116yescomplemented
272C2×D8C22×C4116yescomplemented
273C22×C8—22no—
274C22×C8—22no—
275C22×C8—22no—
276C22×C8—22no—
277C22×C8—22no—
278C22×C8—22no—
279C22×C8—22no—
280C22×C8—22no—
281C22×C8—22no—
282C22×C8—22no—
283C22×C8C22×C414yes—
284C22×C8C22×C414yes—
285C22×C8C2412yes—
286C22×C8C2412yes—
287C22×C8C2412yes—
288C22×C8C2412yes—
289#127—216no—
290#127—28no—
291#127C22×C4116yes—
292C4×D4—216no—
293C4×D4—28no—
294C4×D4—44no—
295C4×D4—44no—
296C4×D4—44no—
297C4×D4—44no—
298C4×D4—48no—
299C4×D4—48no—
300C4×D4C22×C4116yescomplemented
301C2×C4⋊C4—21no—
302C2×C4⋊C4—22no—
303C2×C4⋊C4—22no—
304C2×C4⋊C4—22no—
305C2×C4⋊C4—22no—
306C2×C4⋊C4—22no—
307C2×C4⋊C4—22no—
308C2×C4⋊C4—22no—
309C2×C4⋊C4—22no—
310C2×C4⋊C4—22no—
311C2×C4⋊C4—21no—
312C2×C4⋊C4—21no—
313C2×C4⋊C4—21no—
314C2×C4⋊C4—21no—
315C2×C4⋊C4—24no—
316C2×C4⋊C4—24no—
317C2×C4⋊C4—82no—
318C2×C4⋊C4—82no—
319C2×C4⋊C4C22×C414yes—
320C2×C4⋊C4C2412yes—
321C2×C4⋊C4C2412yes—
322C2×C4⋊C4C2412yes—
323C2×C4⋊C4C2412yes—
324C2×C4⋊C4C2412yes—
325C2×C22⋊C4—28no—
326C2×C22⋊C4—24no—
327C2×C22⋊C4—24no—
328C2×C22⋊C4—24no—
329C2×C22⋊C4—24no—
330C2×C22⋊C4—24no—
331C2×C22⋊C4—24no—
332C2×C22⋊C4—24no—
333C2×C22⋊C4—24no—
334C2×C22⋊C4—24no—
335C2×C22⋊C4—24no—
336C2×C22⋊C4—24no—
337C2×C22⋊C4—44no—
338C2×C22⋊C4—44no—
339C2×C22⋊C4—82no—
340C2×C22⋊C4—82no—
341C2×C22⋊C4—82no—
342C2×C22⋊C4—82no—
343C2×C22⋊C4—82no—
344C2×C22⋊C4—82no—
345C2×C22⋊C4—82no—
346C2×C22⋊C4—82no—
347C2×C42—22no—
348C2×C42—22no—
349C2×C42—22no—
350C2×C42—22no—
351C2×C42—24no—
352C2×C42—82no—
353C2×C42C22×C414yes—
354C2×C42C2×D412yes—
355C2×C42C2×D412yes—
356C2×C42C2×D412yes—
357C2×C42#4114yes—
358C2×C42C2412yes—
359C2×C42C2412yes—
360C2×C42C2412yes—
361#107—44no—
362#106—44no—
363C4⋊C8—28no—
364C4⋊C8C22×C4116yescomplemented
365#102—44no—
366#102—44no—
367#102—44no—
368#102—44no—
369#102—44no—
370#102—44no—
371#102C22×C4116yescomplemented
372#102C22×C4116yescomplemented
373#97—44no—
374C4×C8—44no—
375#95—24no—
376#95—24no—
377#95—24no—
378#95—24no—
379#95—24no—
380#95C2×D414yes—
381#95C2×D414yes—
382#95C2×D414yes—
383#95C2×D414yes—
384C24—24no—
385C24—24no—
386C24—24no—
387C24—22no—
388C24—22no—
389C24—22no—
390C24—42no—
391C24—42no—
392C24—42no—
393C24—42no—
394C24—42no—
395C24—42no—
396C24—42no—
397C24—42no—
398C24—42no—
399C24—42no—
400C24—42no—
401C24—42no—
402C24—42no—
403C24—42no—
404C24—42no—
405C24—42no—
406C24—42no—
407C24—42no—
408C24C22×D411yescharacteristic
409C2×D4—24no—
410C2×D4—24no—
411C2×D4—24no—
412C2×D4—216no—
413C2×D4—216no—
414C2×D4—28no—
415C2×D4—28no—
416C2×D4—28no—
417C2×D4—28no—
418C2×D4—28no—
419C2×D4—28no—
420C2×D4—22no—
421C2×D4—22no—
422C2×D4—22no—
423C2×D4—22no—
424C2×D4—22no—
425C2×D4—22no—
426C2×D4—22no—
427C2×D4—22no—
428C2×D4—22no—
429C2×D4—22no—
430C2×D4—22no—
431C2×D4—22no—
432C2×D4—22no—
433C2×D4—22no—
434C2×D4—22no—
435C2×D4—42no—
436C2×D4—42no—
437C2×D4—42no—
438C2×D4—42no—
439C2×D4—42no—
440C2×D4—42no—
441C2×D4—44no—
442C2×D4—44no—
443C2×D4—44no—
444C2×D4—44no—
445C2×D4—44no—
446C2×D4—44no—
447C2×D4—816no—
448C2×D4—816no—
449C2×D4—84no—
450C2×D4—84no—
451C2×D4—84no—
452C2×D4—84no—
453C2×D4C23×C414yes—
454C2×D4C23×C414yes—
455C2×D4C23×C414yes—
456C22×C4—22no—
457C22×C4—22no—
458C22×C4—22no—
459C22×C4—22no—
460C22×C4—24no—
461C22×C4—22no—
462C22×C4—22no—
463C22×C4—22no—
464C22×C4—22no—
465C22×C4—22no—
466C22×C4—22no—
467C22×C4—22no—
468C22×C4—22no—
469C22×C4—22no—
470C22×C4—22no—
471C22×C4—22no—
472C22×C4—22no—
473C22×C4—22no—
474C22×C4—216no—
475C22×C4—22no—
476C22×C4—22no—
477C22×C4—22no—
478C22×C4—22no—
479C22×C4—48no—
480C22×C4—48no—
481C22×C4—42no—
482C22×C4—42no—
483C22×C4—42no—
484C22×C4—42no—
485C22×C4—42no—
486C22×C4—42no—
487C22×C4—42no—
488C22×C4—42no—
489C22×C4—42no—
490C22×C4—42no—
491C22×C4—42no—
492C22×C4—42no—
493C22×C4—42no—
494C22×C4—42no—
495C22×C4—816no—
496C22×C4—84no—
497C22×C4—84no—
498C22×C4—84no—
499C22×C4—84no—
500C22×C4—84no—
501C22×C4—84no—
502C22×C4—816no—
503C22×C4—816no—
504C22×C4C4×D414yes—
505C22×C4C4×D414yes—
506C22×C4C23×C412yes—
507C22×C4C22×D412yes—
508C22×C4C22×D412yes—
509C22×C4C22×D412yes—
510C22×C4C22×D412yes—
511C22×C4C22×D412yes—
512C22×C4C22×D412yes—
513C22×C4C22×D411yescharacteristic
514C22×C4C2×#4112yes—
515C22×C4H(5,𝔽2)12yes—
516C22×C4H(5,𝔽2)12yes—
517C22×C4H(5,𝔽2)12yes—
518C22×C42−1+412yes—
519C22×C4C2511yescharacteristic
520D8—416no—
521D8—416no—
522C2×C8—28no—
523C2×C8—28no—
524C2×C8—22no—
525C2×C8—22no—
526C2×C8—22no—
527C2×C8—22no—
528C2×C8—22no—
529C2×C8—22no—
530C2×C8—22no—
531C2×C8—22no—
532C2×C8—22no—
533C2×C8—22no—
534C2×C8—44no—
535C2×C8—44no—
536C2×C8C23×C414yes—
537C2×C8C23×C414yes—
538C4⋊C4—24no—
539C4⋊C4—22no—
540C4⋊C4—22no—
541C4⋊C4—22no—
542C4⋊C4—22no—
543C4⋊C4—22no—
544C4⋊C4—22no—
545C4⋊C4—22no—
546C4⋊C4—22no—
547C4⋊C4—22no—
548C4⋊C4—42no—
549C4⋊C4—42no—
550C4⋊C4—42no—
551C4⋊C4—42no—
552C4⋊C4—84no—
553C4⋊C4—84no—
554C4⋊C4C23×C414yes—
555C22⋊C4—216no—
556C22⋊C4—48no—
557C22⋊C4—48no—
558C22⋊C4—84no—
559C22⋊C4—84no—
560C22⋊C4—84no—
561C22⋊C4—84no—
562C22⋊C4—84no—
563C22⋊C4—84no—
564C22⋊C4—84no—
565C22⋊C4—84no—
566C42—24no—
567C42—24no—
568C42—22no—
569C42—22no—
570C42—22no—
571C42—22no—
572C42—84no—
573C42C4×D418yes—
574C42C23×C414yes—
575C42C2×#4114yes—
576C23—24no—
577C23—24no—
578C23—24no—
579C23—48no—
580C23—48no—
581C23—48no—
582C23—42no—
583C23—42no—
584C23—42no—
585C23—42no—
586C23—42no—
587C23—42no—
588C23—48no—
589C23—48no—
590C23—48no—
591C23—48no—
592C23—48no—
593C23—48no—
594C23—42no—
595C23—42no—
596C23—42no—
597C23—42no—
598C23—42no—
599C23—42no—
600C23—42no—
601C23—42no—
602C23—42no—
603C23—42no—
604C23—42no—
605C23—42no—
606C23—84no—
607C23—84no—
608C23—84no—
609C23—84no—
610C23—84no—
611C23—84no—
612C23—84no—
613C23—84no—
614C23—84no—
615C23—84no—
616C23—84no—
617C23—84no—
618C23C2×C4×D412yes—
619C23#53512yes—
620C23#53712yes—
621C23#57612yes—
622C23#57612yes—
623C23#57612yes—
624C23#57712yes—
625C23C23×D411yescharacteristic
626D4—24no—
627D4—24no—
628D4—24no—
629D4—24no—
630D4—24no—
631D4—24no—
632D4—48no—
633D4—48no—
634D4—48no—
635D4—42no—
636D4—42no—
637D4—42no—
638D4—42no—
639D4—42no—
640D4—42no—
641D4—816no—
642D4—816no—
643C2×C4—28no—
644C2×C4—28no—
645C2×C4—22no—
646C2×C4—22no—
647C2×C4—22no—
648C2×C4—22no—
649C2×C4—24no—
650C2×C4—22no—
651C2×C4—22no—
652C2×C4—22no—
653C2×C4—22no—
654C2×C4—22no—
655C2×C4—22no—
656C2×C4—22no—
657C2×C4—22no—
658C2×C4—22no—
659C2×C4—22no—
660C2×C4—22no—
661C2×C4—22no—
662C2×C4—48no—
663C2×C4—44no—
664C2×C4—44no—
665C2×C4—44no—
666C2×C4—44no—
667C2×C4—42no—
668C2×C4—42no—
669C2×C4—42no—
670C2×C4—42no—
671C2×C4—42no—
672C2×C4—42no—
673C2×C4—42no—
674C2×C4—42no—
675C2×C4—42no—
676C2×C4—42no—
677C2×C4—42no—
678C2×C4—42no—
679C2×C4—42no—
680C2×C4—42no—
681C2×C4—816no—
682C2×C4—816no—
683C2×C4—816no—
684C2×C4—84no—
685C2×C4—84no—
686C2×C4—84no—
687C2×C4—84no—
688C2×C4C2×C4×D414yes—
689C2×C4C2×C4×D414yes—
690C2×C4C2×C4×D412yes—
691C2×C4#51814yes—
692C2×C4#52014yes—
693C2×C4#53512yes—
694C2×C4#53712yes—
695C2×C4#54014yes—
696C2×C4#54214yes—
697C2×C4C24×C411yescharacteristic
698C2×C4C22×#4111yescharacteristic
699C2×C4C2×H(5,𝔽2)11yescharacteristic
700C2×C4C2×H(5,𝔽2)11yescharacteristic
701C2×C4C2×H(5,𝔽2)11yescharacteristic
702C2×C4C2×2−1+411yescharacteristic
703C8—24no—
704C8—24no—
705C8—42no—
706C8—42no—
707C22—44no—
708C22—44no—
709C22—44no—
710C22—44no—
711C22—44no—
712C22—44no—
713C22—44no—
714C22—44no—
715C22—44no—
716C22—82no—
717C22—82no—
718C22—82no—
719C22—82no—
720C22—82no—
721C22—82no—
722C22—816no—
723C22—816no—
724C22—816no—
725C22—82no—
726C22—82no—
727C22—82no—
728C22—82no—
729C22—82no—
730C22—82no—
731C22#232414yes—
732C22#294614yes—
733C22#294814yes—
734C22#322014yes—
735C22#322414yes—
736C22#325714yes—
737C22#325914yes—
738C22C22×C4×D411yescharacteristic
739C22C2×#53511yescharacteristic
740C22C2×#53711yescharacteristic
741C22C2×#57611yescharacteristic
742C22C2×#57611yescharacteristic
743C22C2×#57611yescharacteristic
744C22C2×#57711yescharacteristic
745C4—24no—
746C4—24no—
747C4—44no—
748C4—42no—
749C4—42no—
750C4—42no—
751C4—42no—
752C4—82no—
753C4—82no—
754C4—82no—
755C4—82no—
756C4#232414yes—
757C4C2×#51811yescharacteristic
758C4C2×#52011yescharacteristic
759C4C2×#54011yescharacteristic
760C4C2×#54211yescharacteristic
761C2—84no—
762C2—84no—
763C2—84no—
764C2#2215818yesdirect product factor
765C2C2×#232411yescharacteristic
766C2C2×#294611yescharacteristic
767C2C2×#294811yescharacteristic
768C2C2×#322011yescharacteristic
769C2C2×#322411yescharacteristic
770C2C2×#325711yescharacteristic
771C2C2×#325911yescharacteristic
subgroupG/H
center, socleC24C22×D4
commutatorC2×C4C24×C4
Frattini, cosocleC22×C4C25
prime radicalC22×#459C2
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C24 ◁ C2×#376 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
2. C2×#2328C2semidirect
3. C2×#2319C2semidirect
4. #22158C2direct (N × H)
5. C2×#1982C2semidirect
6. C2×#1972C2semidirect
7. C2×#1970C2semidirect
8. C2×#1949C2semidirect
9. C2×#1936C2semidirect
10. C2×#1934C2semidirect
11. C2×#1879C2semidirect
12. C2×#1879C2semidirect
13. C2×#1864C2semidirect
14. C2×#1862C2semidirect
15. C2×#1804C2semidirect
16. C2×#1768C2semidirect
23. C2×#459C4semidirect
40. #2328C22semidirect
42. #2319C22semidirect
60. #1982C22semidirect
61. #1972C22semidirect
62. #1970C22semidirect
63. #1949C22semidirect
64. #1936C22semidirect
65. #1934C22semidirect
66. #1879C22semidirect
67. #1879C22semidirect
68. #1864C22semidirect
69. #1862C22semidirect
70. #1804C22semidirect
71. #1768C22semidirect
90. C22×D8C2×C4semidirect
91. C22×D8C2×C4semidirect
110. C2×C4×D4C2×C4semidirect
136. #459C2×C4semidirect
142. C2×C4⋊C8C2×C4semidirect
151. C2×#102C2×C4semidirect
152. C2×#102C2×C4semidirect
271. C2×D8C22×C4semidirect
272. C2×D8C22×C4semidirect
300. C4×D4C22×C4semidirect
364. C4⋊C8C22×C4semidirect
371. #102C22×C4semidirect
372. #102C22×C4semidirect
764. C2#22158direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#4592
C2×#23282
C2×#23192
#221582
C2×#19822
C2×#19722
C2×#19702
C2×#19492
C2×#19362
C2×#19342
C2×#18792
C2×#18642
C2×#18622
C2×#18042
C2×#17682