Finite Group Databasebeta

← C2×#61337 #10576491

Subgroups — C2×#61337 #10576491

Order 512.

6748 conjugacy classes of subgroups.

The subgroup lattice has 748 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3504C211yesmaximal, characteristic, complemented
2C2×#3508C211yesmaximal, characteristic, complemented
3#61337C2132yesmaximal, direct product factor
4C2×#3371C214yesmaximal, complemented
5C2×#3370C214yesmaximal, complemented
6C2×#3368C214yesmaximal, complemented
7C2×#3366C214yesmaximal, complemented
8C2×#3136C212yesmaximal, complemented
9C22×#490C211yesmaximal, characteristic, complemented
10C2×#3081C212yesmaximal, complemented
11C2×#3080C211yesmaximal, characteristic, complemented
12C2×#3045C212yesmaximal, complemented
13C2×#3038C211yesmaximal, characteristic, complemented
14C2×#2961C211yesmaximal, characteristic, complemented
15C2×#2946C212yesmaximal, complemented
16C2×#2943C211yesmaximal, characteristic, complemented
17C22×AGL(1,ℤ/8)C2212yes—
18C22×#135C2211yescharacteristic
19#3508—28no—
20#3508C22116yescomplemented
21#3504—28no—
22#3504C22116yescomplemented
23C2×#559C2214yes—
24C2×#557C2214yescomplemented
25C2×#554—24no—
26C2×#554C2214yescomplemented
27C2×#550C2214yes—
28C2×#546—24no—
29C2×#544—22no—
30C2×#544C2212yes—
31C2×#540—21no—
32C2×#540—21no—
33C2×#535C2212yes—
34C2×#533—21no—
35C2×#533C2211yescharacteristic
36C2×#532—22no—
37C22×#127C2211yescharacteristic
38C22×#125—21no—
39C22×#125C2211yescharacteristic
40C2×#520C2212yes—
41C2×#518C2212yes—
42C2×C4×#41C2211yescharacteristic
43C2×C4×#41C2211yescharacteristic
44#3371C22164yescomplemented
45#3370C22164yescomplemented
46#3368C22164yescomplemented
47#3366C22164yescomplemented
48#3136C22132yescomplemented
49C2×#490C2214yes—
50C2×#490C2214yes—
51C2×#490C22116yescomplemented
52C2×#490C2214yescomplemented
53C2×#489C2214yescomplemented
54C2×#488C2214yescomplemented
55C2×#486C2214yescomplemented
56#3081C22132yescomplemented
57#3080C22116yescomplemented
58C2×#479C2214yescomplemented
59C2×#478C2214yescomplemented
60C2×#478C2214yescomplemented
61C2×#478C2214yescomplemented
62C2×#476C2214yescomplemented
63C2×#474C2214yescomplemented
64#3045C22132yescomplemented
65#3038C22116yescomplemented
66C2×#464C2214yescomplemented
67C2×#460C2214yes—
68C2×#460C2214yescomplemented
69C2×#463C2214yescomplemented
70C2×#459C2214yes—
71C2×#459C2214yescomplemented
72#2961C22116yescomplemented
73C2×#446C2214yescomplemented
74C2×#446C2214yescomplemented
75#2946C22132yescomplemented
76#2943C22116yescomplemented
77C2×#442C2212yescomplemented
78C2×#442C2214yescomplemented
79C2×#441C2212yescomplemented
80C2×#440C2212yescomplemented
81C2×#440C2214yescomplemented
82C2×#440C2212yescomplemented
83C2×C4×SD16C2214yescomplemented
84C2×C4×D8C2214yescomplemented
85C2×#428C2212yes—
86C2×#427C2211yescharacteristic
87C2×#424C2212yes—
88C2×#423C2211yescharacteristic
89C2×#417C2212yes—
90C2×#418C2212yes—
91C2×#416C2211yescharacteristic
92C2×#416C2211yescharacteristic
93C22×#102C2212yes—
94C22×#102C2212yes—
95C2×#405C2212yes—
96C22×#97C2211yescharacteristic
97C22×#41—24no—
98C22×#41C2311yescharacteristic
99C22×#41C2311yescharacteristic
100C23×D4—22no—
101C23×D4C2312yes—
102C2×AGL(1,ℤ/8)—216no—
103C2×AGL(1,ℤ/8)C23116yes—
104C2×#135—28no—
105C2×#135C2318yes—
106C22×Q16C2311yescharacteristic
107C22×SD16C2314yes—
108C22×SD16C2311yescharacteristic
109C22×SD16C2311yescharacteristic
110C22×D8C2314yes—
111C22×D8C2311yescharacteristic
112C22×M16C2312yes—
113C23×C8C2311yescharacteristic
114C23×C8C2311yescharacteristic
115#559—216no—
116#559C23132yes—
117#557—216no—
118#557C23132yescomplemented
119#554—264no—
120#554—216no—
121#554C23132yescomplemented
122#550—216no—
123#550C23132yes—
124#546—264no—
125#544—232no—
126#544—28no—
127#544C23116yes—
128#540—216no—
129#540—216no—
130#535—28no—
131#535C23116yes—
132#533—216no—
133#533D418yes—
134#533C2318yes—
135#532—232no—
136C2×C4⋊Q8—24no—
137C2×C4⋊Q8—22no—
138C2×C4⋊Q8D412yes—
139C2×C4⋊Q8C2314yes—
140C2×#127—21no—
141C2×#127—21no—
142C2×#127—24no—
143C2×#127C2314yes—
144C2×#127C2314yes—
145C2×#127C2318yes—
146C2×#125—216no—
147C2×#125—22no—
148C2×#125—24no—
149C2×#125—24no—
150C2×#125—21no—
151C2×#125—21no—
152C2×#125—24no—
153C2×#125D411yescharacteristic
154C2×#125D411yescharacteristic
155C2×#125C2314yes—
156C2×#125C2314yes—
157C2×#125C2318yes—
158C2×#124—24no—
159C2×#124C2314yes—
160C2×#123—24no—
161C2×#123—24no—
162C2×C22⋊Q8—24no—
163C2×C22⋊Q8—24no—
164C2×C22⋊Q8—24no—
165C2×C22⋊Q8—24no—
166C2×C22⋊Q8D414yes—
167C2×#121—22no—
168C2×#121—22no—
169C2×#121—24no—
170C2×#121—24no—
171C2×#121—24no—
172C2×#120—24no—
173#520—28no—
174#520C23116yes—
175#518—28no—
176#518C23116yes—
177C4×#41—24no—
178C4×#41—24no—
179C4×#41C2318yes—
180C4×#41C2318yes—
181C2×C4×Q8—24no—
182C2×C4×Q8C2312yes—
183C2×C4×Q8C2312yes—
184C2×C4×Q8C2314yes—
185C2×C4×Q8C2314yes—
186C2×C4×D4—22no—
187C2×C4×D4—22no—
188C2×C4×D4—22no—
189C2×C4×D4—22no—
190C2×C4×D4—24no—
191C2×C4×D4—24no—
192C2×C4×D4C2312yes—
193C2×C4×D4C2314yes—
194C2×C4×D4C2314yes—
195C2×C4×D4C2312yes—
196C2×C4×D4C2314yes—
197C2×#117—22no—
198C2×#117—21no—
199C2×#117—21no—
200C2×#117C2311yescharacteristic
201C2×#117C2311yescharacteristic
202C2×#117C2312yes—
203C22×C4⋊C4—22no—
204C22×C4⋊C4—22no—
205C22×C4⋊C4—24no—
206C22×C4⋊C4C2312yes—
207C22×C22⋊C4—24no—
208C22×C42—21no—
209C22×C42—21no—
210C22×C42C2311yescharacteristic
211#490C23132yes—
212#490C23132yes—
213#490C23132yescomplemented
214#489C23132yescomplemented
215#488C23132yescomplemented
216#486C23132yescomplemented
217#479C23132yescomplemented
218#478C23132yescomplemented
219#478C23132yescomplemented
220#478C23132yescomplemented
221#476C23132yescomplemented
222#474C23132yescomplemented
223#464C23132yescomplemented
224#463C23132yescomplemented
225#460C23132yes—
226#460C23132yescomplemented
227#459C23132yes—
228#459C23132yescomplemented
229#446C23132yescomplemented
230#446C23132yescomplemented
231#442C23116yescomplemented
232#442C23132yescomplemented
233#441C23116yescomplemented
234#440C23116yescomplemented
235#440C23132yescomplemented
236#440C23116yescomplemented
237C4×SD16C23132yescomplemented
238C4×D8C23132yescomplemented
239#428C23116yes—
240#427C2318yes—
241C2×#107C2314yes—
242C2×#107C2312yes—
243C2×#106C2314yes—
244C2×#106C2312yes—
245#424C23116yes—
246#423C2318yes—
247C2×C4⋊C8C2314yes—
248C2×C4⋊C8C2314yes—
249C2×C4⋊C8C2314yes—
250#418C23116yes—
251#417C23116yes—
252#416C2318yes—
253#416C2318yes—
254C2×#103C2314yes—
255C2×#103C2312yes—
256C2×#103C2312yes—
257C2×#102C2314yes—
258C2×#102C2314yes—
259C2×#102C2314yes—
260C2×#102C2314yes—
261C2×#102C23116yes—
262C2×#102C2312yes—
263C2×#102C2314yes—
264C2×#102C2314yes—
265C2×#102C2314yes—
266C2×#102C23116yes—
267C2×#102C2312yes—
268#405C23116yes—
269C2×#97C2312yes—
270C2×#97C2312yes—
271C2×#97C2318yes—
272C2×#97C2314yes—
273C2×C4×C8C2314yes—
274C25—22no—
275C2×#41—232no—
276C2×#41—22no—
277C2×#41—22no—
278C2×#41—24no—
279C2×#41—24no—
280C2×#41—24no—
281C2×#41—816no—
282C2×#41#4118yescomplemented
283C2×#41C2414yes—
284C2×#41C2414yes—
285C22×Q8—24no—
286C22×Q8C2×D414yes—
287C22×Q8C2411yescharacteristic
288C22×Q8C2411yescharacteristic
289C22×D4—21no—
290C22×D4—21no—
291C22×D4—22no—
292C22×D4—24no—
293C22×D4—24no—
294C22×D4—24no—
295C22×D4—24no—
296C22×D4—24no—
297C22×D4—216no—
298C22×D4—28no—
299C22×D4—28no—
300C22×D4—88no—
301C22×D4C2414yes—
302C22×D4C2411yescharacteristic
303C22×D4C2418yes—
304C22×D4C2411yescharacteristic
305C23×C4—21no—
306C23×C4—22no—
307C23×C4—21no—
308C23×C4—22no—
309C23×C4—24no—
310C23×C4—24no—
311C23×C4—24no—
312C23×C4—22no—
313C23×C4C2×D412yes—
314C23×C4C2411yescharacteristic
315AGL(1,ℤ/8)—264no—
316#135—232no—
317C2×Q16—24no—
318C2×Q16C2414yes—
319C2×SD16—24no—
320C2×SD16—216no—
321C2×SD16—24no—
322C2×SD16C2414yes—
323C2×SD16C2414yes—
324C2×SD16C24116yes—
325C2×D8—24no—
326C2×D8—216no—
327C2×D8C2414yes—
328C2×D8C24116yes—
329C2×M16—28no—
330C2×M16C2418yes—
331C22×C8—24no—
332C22×C8—24no—
333C22×C8C2411yescharacteristic
334C22×C8C2411yescharacteristic
335C22×C8C2414yes—
336C22×C8C2412yes—
337C22×C8C2414yes—
338C22×C8C2414yes—
339C4⋊Q8—232no—
340C4⋊Q8—216no—
341C4⋊Q8—28no—
342C4⋊Q8C2×D4116yes—
343C4⋊Q8C24116yes—
344#127—28no—
345#127—28no—
346#127—28no—
347#127—28no—
348#127C24116yes—
349#127C24116yes—
350#125—216no—
351#125—232no—
352#125—232no—
353#125—28no—
354#125—28no—
355#125—28no—
356#125—28no—
357#125C2×D418yes—
358#125C2×D418yes—
359#125C24116yes—
360#125C24116yes—
361#124—232no—
362#124—28no—
363#124C24116yes—
364#123—232no—
365#123—232no—
366C22⋊Q8—232no—
367C22⋊Q8—232no—
368C22⋊Q8—232no—
369C22⋊Q8—232no—
370C22⋊Q8C2×D4132yes—
371#121—216no—
372#121—216no—
373#121—232no—
374#121—232no—
375#121—232no—
376#120—232no—
377C4×Q8—232no—
378C4×Q8—24no—
379C4×Q8—24no—
380C4×Q8—28no—
381C4×Q8C2×D4116yes—
382C4×Q8C2418yes—
383C4×Q8C2418yes—
384C4×Q8C24116yes—
385C4×Q8C24116yes—
386C4×D4—216no—
387C4×D4—216no—
388C4×D4—216no—
389C4×D4—216no—
390C4×D4—232no—
391C4×D4—232no—
392C4×D4—24no—
393C4×D4—24no—
394C4×D4—28no—
395C4×D4—28no—
396C4×D4—28no—
397C4×D4C2418yes—
398C4×D4C2418yes—
399C4×D4C24116yes—
400C4×D4C24116yes—
401C4×D4C24116yes—
402#117—22no—
403#117—22no—
404#117—216no—
405#117—28no—
406#117—28no—
407#117C2×D418yes—
408#117C2414yes—
409#117C2414yes—
410#117C2418yes—
411C2×C4⋊C4—24no—
412C2×C4⋊C4—22no—
413C2×C4⋊C4—24no—
414C2×C4⋊C4—24no—
415C2×C4⋊C4—24no—
416C2×C4⋊C4—24no—
417C2×C4⋊C4—216no—
418C2×C4⋊C4—24no—
419C2×C4⋊C4—22no—
420C2×C4⋊C4—22no—
421C2×C4⋊C4—24no—
422C2×C4⋊C4—216no—
423C2×C4⋊C4—232no—
424C2×C4⋊C4C2×D412yes—
425C2×C4⋊C4C2×D414yes—
426C2×C4⋊C4C2×D412yes—
427C2×C4⋊C4C2×D414yes—
428C2×C4⋊C4C2×D414yes—
429C2×C4⋊C4C2414yes—
430C2×C4⋊C4C2418yes—
431C2×C4⋊C4C2412yes—
432C2×C4⋊C4C2412yes—
433C2×C22⋊C4—21no—
434C2×C22⋊C4—21no—
435C2×C22⋊C4—24no—
436C2×C22⋊C4—24no—
437C2×C22⋊C4—22no—
438C2×C22⋊C4—22no—
439C2×C22⋊C4—24no—
440C2×C22⋊C4—24no—
441C2×C22⋊C4—24no—
442C2×C22⋊C4—232no—
443C2×C22⋊C4C2×D414yes—
444C2×C42—21no—
445C2×C42—21no—
446C2×C42—24no—
447C2×C42—22no—
448C2×C42—22no—
449C2×C42—28no—
450C2×C42—28no—
451C2×C42C2×D411yescharacteristic
452C2×C42C2×D411yescharacteristic
453C2×C42C2×D414yes—
454C2×C42C2414yes—
455C2×C42C2412yes—
456C2×C42C2414yes—
457#107C2418yes—
458#107C24116yes—
459#106C2418yes—
460#106C24116yes—
461C4⋊C8C24116yes—
462C4⋊C8C24116yes—
463C4⋊C8C24116yes—
464#103C2418yes—
465#103C2418yes—
466#103C24116yes—
467#102C24116yes—
468#102C24116yes—
469#102C24116yes—
470#102C24116yes—
471#102C2418yes—
472#102C2418yes—
473#102C24116yes—
474#102C24116yes—
475#102C24116yes—
476#97C2418yes—
477#97C2418yes—
478#97C24116yes—
479C4×C8C24116yes—
480C24—21no—
481C24—24no—
482C24—21no—
483C24—28no—
484C24—48no—
485C24—84no—
486C24—84no—
487C24C22×D411yescharacteristic
488#41—216no—
489#41—28no—
490#41—28no—
491#41—28no—
492#41—48no—
493#41—864no—
494#41C2×#41116yescomplemented
495C2×Q8—21no—
496C2×Q8—21no—
497C2×Q8—216no—
498C2×Q8—22no—
499C2×Q8—22no—
500C2×Q8—22no—
501C2×Q8—48no—
502C2×Q8—88no—
503C2×Q8C22×D4116yes—
504C2×Q8C2×#4114yes—
505C2×Q8C2512yes—
506C2×Q8C2512yes—
507C2×D4—28no—
508C2×D4—24no—
509C2×D4—24no—
510C2×D4—21no—
511C2×D4—28no—
512C2×D4—24no—
513C2×D4—21no—
514C2×D4—216no—
515C2×D4—216no—
516C2×D4—216no—
517C2×D4—216no—
518C2×D4—28no—
519C2×D4—22no—
520C2×D4—216no—
521C2×D4—22no—
522C2×D4—28no—
523C2×D4—216no—
524C2×D4—22no—
525C2×D4—416no—
526C2×D4—44no—
527C2×D4—48no—
528C2×D4—416no—
529C2×D4—88no—
530C2×D4—88no—
531C2×D4—88no—
532C2×D4—832no—
533C2×D4C2×#4114yes—
534C2×D4C2518yes—
535C2×D4C2512yes—
536C2×D4C2512yes—
537C22×C4—21no—
538C22×C4—28no—
539C22×C4—24no—
540C22×C4—21no—
541C22×C4—22no—
542C22×C4—22no—
543C22×C4—24no—
544C22×C4—28no—
545C22×C4—24no—
546C22×C4—28no—
547C22×C4—28no—
548C22×C4—216no—
549C22×C4—216no—
550C22×C4—216no—
551C22×C4—44no—
552C22×C4—48no—
553C22×C4—44no—
554C22×C4—84no—
555C22×C4—88no—
556C22×C4—88no—
557C22×C4—88no—
558C22×C4—84no—
559C22×C4C22×D412yes—
560C22×C4C22×D412yes—
561C22×C4C22×D414yes—
562C22×C4C22×D414yes—
563C22×C4C22×D418yes—
564C22×C4C22×D412yes—
565C22×C4C22×D411yescharacteristic
566C22×C4C2×#4114yes—
567C22×C42−1+414yes—
568C22×C4C2512yes—
569C22×C4C2511yescharacteristic
570Q16—28no—
571SD16—28no—
572SD16—232no—
573SD16—28no—
574D8—28no—
575D8—232no—
576M16—216no—
577C2×C8—22no—
578C2×C8—22no—
579C2×C8—28no—
580C2×C8—28no—
581C2×C8—24no—
582C2×C8—28no—
583C2×C8C2514yes—
584C2×C8C2518yes—
585C2×C8C2512yes—
586C2×C8C2512yes—
587C4⋊C4—216no—
588C4⋊C4—28no—
589C4⋊C4—216no—
590C4⋊C4—216no—
591C4⋊C4—216no—
592C4⋊C4—216no—
593C4⋊C4—24no—
594C4⋊C4—28no—
595C4⋊C4—28no—
596C4⋊C4—216no—
597C4⋊C4—22no—
598C4⋊C4—22no—
599C4⋊C4C22×D418yes—
600C4⋊C4C22×D4116yes—
601C4⋊C4C22×D418yes—
602C4⋊C4C22×D4116yes—
603C4⋊C4C22×D4116yes—
604C4⋊C4C2518yes—
605C4⋊C4C2514yes—
606C4⋊C4C2514yes—
607C22⋊C4—24no—
608C22⋊C4—24no—
609C22⋊C4—216no—
610C22⋊C4—216no—
611C22⋊C4—28no—
612C22⋊C4—28no—
613C22⋊C4—216no—
614C22⋊C4—216no—
615C22⋊C4—216no—
616C22⋊C4C22×D4116yes—
617C42—24no—
618C42—24no—
619C42—28no—
620C42—28no—
621C42—216no—
622C42C22×D414yes—
623C42C22×D414yes—
624C42C22×D414yes—
625C42C22×D418yes—
626C42C2518yes—
627C42C2514yes—
628C23—24no—
629C23—22no—
630C23—24no—
631C23—28no—
632C23—22no—
633C23—44no—
634C23—44no—
635C23—48no—
636C23—48no—
637C23—42no—
638C23—48no—
639C23—416no—
640C23—88no—
641C23—88no—
642C23—1616no—
643C23#54814yes—
644C23C23×D412yes—
645C23C23×D411yescharacteristic
646Q8—22no—
647Q8—24no—
648Q8—22no—
649Q8—22no—
650Q8—416no—
651Q8—42no—
652Q8—816no—
653Q8C22×#4114yes—
654D4—216no—
655D4—28no—
656D4—22no—
657D4—22no—
658D4—28no—
659D4—22no—
660D4—24no—
661D4—432no—
662D4—48no—
663D4—416no—
664D4—48no—
665D4—42no—
666D4—816no—
667D4—816no—
668D4—816no—
669D4C22×#4114yes—
670C2×C4—24no—
671C2×C4—24no—
672C2×C4—28no—
673C2×C4—28no—
674C2×C4—22no—
675C2×C4—24no—
676C2×C4—216no—
677C2×C4—22no—
678C2×C4—24no—
679C2×C4—24no—
680C2×C4—28no—
681C2×C4—48no—
682C2×C4—416no—
683C2×C4—44no—
684C2×C4—48no—
685C2×C4—44no—
686C2×C4—42no—
687C2×C4—48no—
688C2×C4—88no—
689C2×C4—816no—
690C2×C4—816no—
691C2×C4—816no—
692C2×C4—88no—
693C2×C4#54814yes—
694C2×C4#54818yes—
695C2×C4C23×D414yes—
696C2×C4C23×D414yes—
697C2×C4C23×D418yes—
698C2×C4C23×D418yes—
699C2×C4C23×D412yes—
700C2×C4C23×D411yescharacteristic
701C2×C4C22×#4112yes—
702C2×C4C22×#4114yes—
703C2×C4C2×2−1+412yes—
704C2×C4C2×2−1+414yes—
705C2×C4C2611yescharacteristic
706C8—22no—
707C8—22no—
708C8—28no—
709C8—24no—
710C22—24no—
711C22—28no—
712C22—24no—
713C22—44no—
714C22—48no—
715C22—44no—
716C22—48no—
717C22—48no—
718C22—42no—
719C22—48no—
720C22—84no—
721C22—816no—
722C22—1616no—
723C22C2×#54814yes—
724C22C2×#54812yes—
725C22#358514yes—
726C22C24×D411yescharacteristic
727C4—24no—
728C4—24no—
729C4—28no—
730C4—28no—
731C4—24no—
732C4—44no—
733C4—48no—
734C4—44no—
735C4—42no—
736C4C2×#54814yes—
737C4C2×#54812yes—
738C4C23×#4111yescharacteristic
739C4C22×2−1+411yescharacteristic
740C2—24no—
741C2—44no—
742C2—82no—
743C2—88no—
744C2#6133714yesdirect product factor
745C2C22×#54811yescharacteristic
746C2C2×#358512yes—
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC2×C4C26
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C2×#533 ◁ G
LECSG ▷ C2×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#3504C2semidirect
2. C2×#3508C2semidirect
3. #61337C2direct (N × H)
4. C2×#3371C2semidirect
5. C2×#3370C2semidirect
6. C2×#3368C2semidirect
7. C2×#3366C2semidirect
8. C2×#3136C2semidirect
9. C22×#490C2semidirect
10. C2×#3081C2semidirect
11. C2×#3080C2semidirect
12. C2×#3045C2semidirect
13. C2×#3038C2semidirect
14. C2×#2961C2semidirect
15. C2×#2946C2semidirect
16. C2×#2943C2semidirect
20. #3508C22semidirect
22. #3504C22semidirect
24. C2×#557C22semidirect
26. C2×#554C22semidirect
44. #3371C22semidirect
45. #3370C22semidirect
46. #3368C22semidirect
47. #3366C22semidirect
48. #3136C22semidirect
51. C2×#490C22semidirect
52. C2×#490C22semidirect
53. C2×#489C22semidirect
54. C2×#488C22semidirect
55. C2×#486C22semidirect
56. #3081C22semidirect
57. #3080C22semidirect
58. C2×#479C22semidirect
59. C2×#478C22semidirect
60. C2×#478C22semidirect
61. C2×#478C22semidirect
62. C2×#476C22semidirect
63. C2×#474C22semidirect
64. #3045C22semidirect
65. #3038C22semidirect
66. C2×#464C22semidirect
68. C2×#460C22semidirect
69. C2×#463C22semidirect
71. C2×#459C22semidirect
72. #2961C22semidirect
73. C2×#446C22semidirect
74. C2×#446C22semidirect
75. #2946C22semidirect
76. #2943C22semidirect
77. C2×#442C22semidirect
78. C2×#442C22semidirect
79. C2×#441C22semidirect
80. C2×#440C22semidirect
81. C2×#440C22semidirect
82. C2×#440C22semidirect
83. C2×C4×SD16C22semidirect
84. C2×C4×D8C22semidirect
118. #557C23semidirect
121. #554C23semidirect
213. #490C23semidirect
214. #489C23semidirect
215. #488C23semidirect
216. #486C23semidirect
217. #479C23semidirect
218. #478C23semidirect
219. #478C23semidirect
220. #478C23semidirect
221. #476C23semidirect
222. #474C23semidirect
223. #464C23semidirect
224. #463C23semidirect
226. #460C23semidirect
228. #459C23semidirect
229. #446C23semidirect
230. #446C23semidirect
231. #442C23semidirect
232. #442C23semidirect
233. #441C23semidirect
234. #440C23semidirect
235. #440C23semidirect
236. #440C23semidirect
237. C4×SD16C23semidirect
238. C4×D8C23semidirect
282. C2×#41#41semidirect
494. #41C2×#41semidirect
744. C2#61337direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#35042
C2×#35082
#613372
C2×#33712
C2×#33702
C2×#33682
C2×#33662
C2×#31362
C22×#4902
C2×#30812
C2×#30802
C2×#30452
C2×#30382
C2×#29612
C2×#29462
C2×#29432