Finite Group Databasebeta

← C2×#30936 #7502281

Subgroups — C2×#30936 #7502281

Order 512.

2552 conjugacy classes of subgroups.

The subgroup lattice has 800 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#479C211yesmaximal, characteristic, complemented
2C22×#469C211yesmaximal, characteristic
3C2×#2490C211yesmaximal, characteristic, complemented
4C2×#2426C211yesmaximal, characteristic, complemented
5#30936C2116yesmaximal, direct product factor
6C2×#2067C211yesmaximal, characteristic, complemented
7C2×#2054C211yesmaximal, characteristic, complemented
8C2×#2033C211yesmaximal, characteristic, complemented
9C2×#2025C211yesmaximal, characteristic, complemented
10C2×#2012C211yesmaximal, characteristic, complemented
11C2×#2000C211yesmaximal, characteristic, complemented
12C2×#1983C211yesmaximal, characteristic, complemented
13C2×#1920C211yesmaximal, characteristic, complemented
14C2×#1894C211yesmaximal, characteristic, complemented
15C2×#1880C211yesmaximal, characteristic, complemented
16C2×#1851C211yesmaximal, characteristic, complemented
17C23×SD16C2211yescharacteristic
18C23×D8C2211yescharacteristic
19C23×M16C2211yescharacteristic
20C22×#125C2211yescharacteristic
21C22×#124C2211yescharacteristic
22C22×C22⋊Q8C2211yescharacteristic
23C22×#121C2211yescharacteristic
24C22×#121C2211yescharacteristic
25C22×C4×Q8C2211yescharacteristic
26C2×#479—28no—
27C2×#479C2218yescomplemented
28C2×#469—28no—
29C2×#469C2218yes—
30C22×#107C2211yescharacteristic
31C22×#106C2211yescharacteristic
32C22×C4⋊C8C2211yescharacteristic
33C22×C4⋊C8C2211yescharacteristic
34C22×#103C2211yescharacteristic
35C22×#103C2211yescharacteristic
36C22×#103C2211yescharacteristic
37C22×#102C2211yescharacteristic
38C22×#102C2211yescharacteristic
39C22×#102C2211yescharacteristic
40C22×#102C2211yescharacteristic
41C22×#102C2211yescharacteristic
42C22×C22⋊C8C2211yescharacteristic
43#2490—24no—
44#2490C2218yescomplemented
45#2426—24no—
46#2426C2218yescomplemented
47C2×#397—21no—
48C2×#396—21no—
49C2×#394—21no—
50C2×#394—21no—
51C2×#390—21no—
52C2×#390—21no—
53C2×#390C2211yescharacteristic
54C2×#390C2211yescharacteristic
55C2×#390C2211yescharacteristic
56C2×#389C2211yescharacteristic
57C2×#388—21no—
58C2×#388—21no—
59C2×#380C2211yescharacteristic
60C2×C4×C4⋊C4C2211yescharacteristic
61C2×C4×C22⋊C4C2211yescharacteristic
62#2067C2218yescomplemented
63#2054C2218yescomplemented
64#2033C2218yescomplemented
65#2025C2218yescomplemented
66#2012C2218yescomplemented
67#2000C2218yescomplemented
68#1983C2218yescomplemented
69#1920C2218yescomplemented
70#1894C2218yescomplemented
71#1880C2218yescomplemented
72#1851C2218yescomplemented
73C2×#340C2211yescharacteristic
74C2×#340C2211yescharacteristic
75C2×#340C2211yescharacteristic
76C2×#340C2211yescharacteristic
77C2×#336C2211yescharacteristic
78C2×#336C2211yescharacteristic
79C23×Q8C2311yescharacteristic
80C23×D4—21no—
81C23×D4—21no—
82C23×D4C2311yescharacteristic
83C23×D4C2311yescharacteristic
84C24×C4C2311yescharacteristic
85C22×SD16—24no—
86C22×SD16—42no—
87C22×SD16—42no—
88C22×SD16C2314yes—
89C22×D8—24no—
90C22×D8—42no—
91C22×D8—42no—
92C22×D8C2314yes—
93C22×M16—24no—
94C22×M16—42no—
95C22×M16—42no—
96C22×M16C2314yes—
97C23×C8C2311yescharacteristic
98C23×C8C2311yescharacteristic
99C23×C8C2311yescharacteristic
100C23×C8C2311yescharacteristic
101C2×#125—24no—
102C2×#125—22no—
103C2×#125—42no—
104C2×#125C2314yes—
105C2×#124—24no—
106C2×#124—22no—
107C2×#124—42no—
108C2×#124C2314yes—
109C2×C22⋊Q8—22no—
110C2×C22⋊Q8—24no—
111C2×C22⋊Q8—42no—
112C2×C22⋊Q8C2314yes—
113C2×#121—22no—
114C2×#121—22no—
115C2×#121—24no—
116C2×#121—24no—
117C2×#121—42no—
118C2×#121—42no—
119C2×#121C2314yes—
120C2×#121C2314yes—
121C2×C4×Q8—22no—
122C2×C4×Q8—24no—
123C2×C4×Q8—42no—
124C2×C4×Q8C2314yes—
125C22×C4⋊C4—21no—
126C22×C4⋊C4—21no—
127C22×C4⋊C4—21no—
128C22×C4⋊C4—21no—
129C22×C4⋊C4—21no—
130C22×C4⋊C4C2311yescharacteristic
131C22×C4⋊C4C2311yescharacteristic
132C22×C4⋊C4C2311yescharacteristic
133C22×C4⋊C4C2311yescharacteristic
134C22×C4⋊C4C2311yescharacteristic
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×C22⋊C4—21no—
146C22×C22⋊C4—21no—
147C22×C22⋊C4D411yescharacteristic
148C22×C22⋊C4D411yescharacteristic
149C22×C42—21no—
150C22×C42—21no—
151C22×C42C2311yescharacteristic
152C22×C42C2311yescharacteristic
153#479—232no—
154#469—232no—
155C2×#107—24no—
156C2×#107C2314yes—
157C2×#106D418yes—
158C2×#106C2314yes—
159C2×C4⋊C8—24no—
160C2×C4⋊C8—42no—
161C2×C4⋊C8C2314yes—
162C2×C4⋊C8C2314yes—
163C2×#103—24no—
164C2×#103—24no—
165C2×#103—42no—
166C2×#103C2314yes—
167C2×#103C2314yes—
168C2×#103C2314yes—
169C2×#102—24no—
170C2×#102—24no—
171C2×#102—42no—
172C2×#102—42no—
173C2×#102—42no—
174C2×#102C2314yes—
175C2×#102C2314yes—
176C2×#102C2314yes—
177C2×#102C2314yes—
178C2×#102C2314yes—
179C2×C22⋊C8—42no—
180C2×C22⋊C8C2314yes—
181#397—28no—
182#396—28no—
183#394—28no—
184#394—28no—
185#390—28no—
186#390—28no—
187#390—22no—
188#390—22no—
189#390—22no—
190#390C2314yes—
191#390C2314yes—
192#390C2314yes—
193#389—22no—
194#389C2314yes—
195#388—28no—
196#388—28no—
197#380—22no—
198#380C2314yes—
199C4×C4⋊C4—22no—
200C4×C4⋊C4C2314yes—
201C4×C22⋊C4D414yes—
202C4×C22⋊C4C2314yes—
203C2×#95—21no—
204C2×#95—21no—
205C2×#95—21no—
206C2×#95D411yescharacteristic
207C2×#95D411yescharacteristic
208#340C2314yes—
209#340C2314yes—
210#340C2314yes—
211#340C2314yes—
212#336C2314yes—
213#336C2314yes—
214C25—21no—
215C25—21no—
216C25C2×D411yescharacteristic
217C22×Q8—21no—
218C22×Q8—22no—
219C22×Q8—22no—
220C22×Q8—22no—
221C22×Q8—22no—
222C22×Q8—22no—
223C22×Q8#4114yes—
224C22×Q8C2412yes—
225C22×D4—24no—
226C22×D4—24no—
227C22×D4—22no—
228C22×D4—22no—
229C22×D4—21no—
230C22×D4—21no—
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—22no—
240C22×D4—22no—
241C22×D4—44no—
242C22×D4—44no—
243C22×D4—44no—
244C22×D4—44no—
245C22×D4—82no—
246C22×D4—82no—
247C22×D4C2412yes—
248C22×D4C2412yes—
249C23×C4—21no—
250C23×C4—21no—
251C23×C4—21no—
252C23×C4—22no—
253C23×C4—22no—
254C23×C4—22no—
255C23×C4—22no—
256C23×C4—22no—
257C23×C4—22no—
258C23×C4—21no—
259C23×C4—21no—
260C23×C4—21no—
261C23×C4C2×D412yes—
262C23×C4C2×D411yescharacteristic
263C23×C4C2×D411yescharacteristic
264C23×C4C2×D411yescharacteristic
265C23×C4C2×D411yescharacteristic
266C23×C4C2×D411yescharacteristic
267C23×C4C2412yes—
268C23×C4C2411yescharacteristic
269C2×SD16—28no—
270C2×SD16—44no—
271C2×SD16—44no—
272C2×SD16—416no—
273C2×D8—28no—
274C2×D8—44no—
275C2×D8—44no—
276C2×D8—416no—
277C2×M16—28no—
278C2×M16—44no—
279C2×M16—44no—
280C2×M16—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—
297#125—28no—
298#125—44no—
299#125—48no—
300#124—28no—
301#124—44no—
302#124—48no—
303C22⋊Q8—28no—
304C22⋊Q8—44no—
305C22⋊Q8—48no—
306#121—28no—
307#121—28no—
308#121—44no—
309#121—44no—
310#121—48no—
311#121—48no—
312C4×Q8—28no—
313C4×Q8—44no—
314C4×Q8—48no—
315C2×C4⋊C4—21no—
316C2×C4⋊C4—21no—
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—22no—
325C2×C4⋊C4—24no—
326C2×C4⋊C4—24no—
327C2×C4⋊C4—24no—
328C2×C4⋊C4—24no—
329C2×C4⋊C4—21no—
330C2×C4⋊C4—21no—
331C2×C4⋊C4—21no—
332C2×C4⋊C4—24no—
333C2×C4⋊C4—44no—
334C2×C4⋊C4—44no—
335C2×C4⋊C4—44no—
336C2×C4⋊C4—44no—
337C2×C4⋊C4—82no—
338C2×C4⋊C4C2×D414yes—
339C2×C4⋊C4C2×D414yes—
340C2×C4⋊C4C2412yes—
341C2×C4⋊C4C2412yes—
342C2×C4⋊C4C2412yes—
343C2×C4⋊C4C2412yes—
344C2×C4⋊C4C2412yes—
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—24no—
356C2×C22⋊C4—24no—
357C2×C22⋊C4—42no—
358C2×C22⋊C4—42no—
359C2×C22⋊C4—44no—
360C2×C22⋊C4—44no—
361C2×C22⋊C4—44no—
362C2×C22⋊C4—44no—
363C2×C22⋊C4—44no—
364C2×C22⋊C4—44no—
365C2×C22⋊C4—44no—
366C2×C22⋊C4—82no—
367C2×C22⋊C4—82no—
368C2×C22⋊C4—82no—
369C2×C22⋊C4—82no—
370C2×C22⋊C4—82no—
371C2×C22⋊C4C2×D414yes—
372C2×C22⋊C4C2×D414yes—
373C2×C42—22no—
374C2×C42—22no—
375C2×C42—22no—
376C2×C42—22no—
377C2×C42—24no—
378C2×C42—24no—
379C2×C42—44no—
380C2×C42—82no—
381C2×C42C2×D412yes—
382C2×C42C2×D412yes—
383C2×C42C2412yes—
384C2×C42C2412yes—
385#107—28no—
386#106C2×D4116yes—
387C4⋊C8—28no—
388C4⋊C8—44no—
389#103—28no—
390#103—28no—
391#103—44no—
392#102—28no—
393#102—28no—
394#102—44no—
395#102—44no—
396#102—44no—
397C22⋊C8—44no—
398#95—24no—
399#95—24no—
400#95—24no—
401#95C2×D414yes—
402#95C2×D414yes—
403C24—22no—
404C24—22no—
405C24—22no—
406C24—22no—
407C24—22no—
408C24—22no—
409C24—22no—
410C24—22no—
411C24—22no—
412C24—42no—
413C24—42no—
414C24—42no—
415C24—42no—
416C24—42no—
417C24—42no—
418C24—42no—
419C24—42no—
420C24—42no—
421C24—42no—
422C24—42no—
423C24—42no—
424C24—42no—
425C24—42no—
426C24C22×D412yes—
427C24C22×D411yescharacteristic
428C2×Q8—24no—
429C2×Q8—22no—
430C2×Q8—28no—
431C2×Q8—28no—
432C2×Q8—22no—
433C2×Q8—22no—
434C2×Q8—22no—
435C2×Q8—22no—
436C2×Q8—44no—
437C2×Q8—42no—
438C2×Q8—42no—
439C2×Q8—44no—
440C2×Q8C2×#4114yes—
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—22no—
453C2×D4—48no—
454C2×D4—48no—
455C2×D4—48no—
456C2×D4—48no—
457C2×D4—44no—
458C2×D4—44no—
459C2×D4—42no—
460C2×D4—42no—
461C2×D4—44no—
462C2×D4—44no—
463C2×D4—42no—
464C2×D4—42no—
465C2×D4—42no—
466C2×D4—42no—
467C2×D4—44no—
468C2×D4—44no—
469C2×D4—44no—
470C2×D4—44no—
471C2×D4—84no—
472C2×D4—84no—
473C2×D4—816no—
474C2×D4—816no—
475C22×C4—22no—
476C22×C4—22no—
477C22×C4—22no—
478C22×C4—24no—
479C22×C4—22no—
480C22×C4—24no—
481C22×C4—22no—
482C22×C4—22no—
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—22no—
496C22×C4—24no—
497C22×C4—24no—
498C22×C4—24no—
499C22×C4—22no—
500C22×C4—22no—
501C22×C4—22no—
502C22×C4—22no—
503C22×C4—22no—
504C22×C4—22no—
505C22×C4—22no—
506C22×C4—22no—
507C22×C4—22no—
508C22×C4—42no—
509C22×C4—42no—
510C22×C4—42no—
511C22×C4—42no—
512C22×C4—42no—
513C22×C4—42no—
514C22×C4—44no—
515C22×C4—44no—
516C22×C4—44no—
517C22×C4—44no—
518C22×C4—42no—
519C22×C4—42no—
520C22×C4—42no—
521C22×C4—42no—
522C22×C4—42no—
523C22×C4—42no—
524C22×C4—42no—
525C22×C4—42no—
526C22×C4—42no—
527C22×C4C22×D412yes—
528C22×C4C22×D412yes—
529C22×C4C22×D412yes—
530C22×C4C22×D412yes—
531C22×C4C22×D412yes—
532C22×C4C22×D412yes—
533C22×C4C22×D411yescharacteristic
534C22×C4C2×#4112yes—
535C22×C4H(5,𝔽2)12yes—
536C22×C4H(5,𝔽2)12yes—
537C22×C4H(5,𝔽2)12yes—
538C22×C42−1+412yes—
539C22×C4C2511yescharacteristic
540SD16—416no—
541D8—416no—
542M16—416no—
543C2×C8—28no—
544C2×C8—22no—
545C2×C8—22no—
546C2×C8—22no—
547C2×C8—22no—
548C2×C8—22no—
549C2×C8—22no—
550C2×C8—22no—
551C2×C8—22no—
552C2×C8—22no—
553C2×C8—22no—
554C2×C8—22no—
555C2×C8—44no—
556C2×C8—44no—
557C2×C8—44no—
558C2×C8C22×D414yes—
559C4⋊C4—24no—
560C4⋊C4—24no—
561C4⋊C4—22no—
562C4⋊C4—22no—
563C4⋊C4—22no—
564C4⋊C4—22no—
565C4⋊C4—22no—
566C4⋊C4—22no—
567C4⋊C4—22no—
568C4⋊C4—22no—
569C4⋊C4—48no—
570C4⋊C4—48no—
571C4⋊C4—48no—
572C4⋊C4—48no—
573C4⋊C4—42no—
574C4⋊C4—42no—
575C4⋊C4—42no—
576C4⋊C4—84no—
577C4⋊C4C22×D414yes—
578C4⋊C4C22×D414yes—
579C22⋊C4—44no—
580C22⋊C4—44no—
581C22⋊C4—48no—
582C22⋊C4—48no—
583C22⋊C4—48no—
584C22⋊C4—48no—
585C22⋊C4—48no—
586C22⋊C4—48no—
587C22⋊C4—48no—
588C22⋊C4—84no—
589C22⋊C4—84no—
590C22⋊C4—84no—
591C22⋊C4—84no—
592C22⋊C4—84no—
593C42—24no—
594C42—24no—
595C42—22no—
596C42—22no—
597C42—22no—
598C42—22no—
599C42—48no—
600C42—84no—
601C23—22no—
602C23—22no—
603C23—22no—
604C23—22no—
605C23—22no—
606C23—22no—
607C23—22no—
608C23—44no—
609C23—44no—
610C23—44no—
611C23—44no—
612C23—44no—
613C23—44no—
614C23—44no—
615C23—42no—
616C23—42no—
617C23—42no—
618C23—42no—
619C23—42no—
620C23—42no—
621C23—42no—
622C23—42no—
623C23—42no—
624C23—42no—
625C23—42no—
626C23—42no—
627C23—42no—
628C23—42no—
629C23—84no—
630C23—84no—
631C23—84no—
632C23—84no—
633C23—84no—
634C23—84no—
635C23—84no—
636C23—84no—
637C23—84no—
638C23—84no—
639C23—84no—
640C23—84no—
641C23—84no—
642C23—84no—
643C23#53712yes—
644C23D4212yes—
645C23#54612yes—
646C23#57512yes—
647C23#57512yes—
648C23#57612yes—
649C23#57712yes—
650C23C23×D411yescharacteristic
651Q8—24no—
652Q8—24no—
653Q8—48no—
654Q8—42no—
655Q8—42no—
656D4—42no—
657D4—42no—
658D4—42no—
659D4—42no—
660D4—42no—
661D4—42no—
662D4—42no—
663D4—42no—
664D4—816no—
665D4—816no—
666D4—84no—
667D4—84no—
668C2×C4—22no—
669C2×C4—22no—
670C2×C4—22no—
671C2×C4—24no—
672C2×C4—22no—
673C2×C4—24no—
674C2×C4—22no—
675C2×C4—22no—
676C2×C4—24no—
677C2×C4—22no—
678C2×C4—22no—
679C2×C4—22no—
680C2×C4—22no—
681C2×C4—22no—
682C2×C4—22no—
683C2×C4—22no—
684C2×C4—22no—
685C2×C4—22no—
686C2×C4—44no—
687C2×C4—48no—
688C2×C4—42no—
689C2×C4—42no—
690C2×C4—44no—
691C2×C4—48no—
692C2×C4—44no—
693C2×C4—48no—
694C2×C4—44no—
695C2×C4—42no—
696C2×C4—42no—
697C2×C4—42no—
698C2×C4—44no—
699C2×C4—42no—
700C2×C4—48no—
701C2×C4—42no—
702C2×C4—42no—
703C2×C4—42no—
704C2×C4—42no—
705C2×C4—42no—
706C2×C4—42no—
707C2×C4—42no—
708C2×C4—42no—
709C2×C4—42no—
710C2×C4—42no—
711C2×C4—42no—
712C2×C4—42no—
713C2×C4—42no—
714C2×C4—84no—
715C2×C4—84no—
716C2×C4—84no—
717C2×C4#53514yes—
718C2×C4#53712yes—
719C2×C4#53814yes—
720C2×C4D4212yes—
721C2×C4#54612yes—
722C2×C4#54814yes—
723C2×C4#56214yes—
724C2×C4C23×D411yescharacteristic
725C2×C4C22×#4111yescharacteristic
726C2×C4C2×H(5,𝔽2)11yescharacteristic
727C2×C4C2×H(5,𝔽2)11yescharacteristic
728C2×C4C2×H(5,𝔽2)11yescharacteristic
729C2×C4C2×2−1+411yescharacteristic
730C8—24no—
731C8—42no—
732C8—42no—
733C8—42no—
734C22—42no—
735C22—42no—
736C22—42no—
737C22—42no—
738C22—42no—
739C22—42no—
740C22—42no—
741C22—88no—
742C22—82no—
743C22—82no—
744C22—82no—
745C22—82no—
746C22—82no—
747C22—82no—
748C22—82no—
749C22—82no—
750C22—82no—
751C22—82no—
752C22—82no—
753C22—82no—
754C22—82no—
755C22—82no—
756C22—168no—
757C22—168no—
758C22#267614yes—
759C22#325614yes—
760C22#325714yes—
761C22#326814yes—
762C22#327514yes—
763C22#330914yes—
764C22#332614yes—
765C22C2×#53711yescharacteristic
766C22C2×D4211yescharacteristic
767C22C2×#54611yescharacteristic
768C22C2×#57511yescharacteristic
769C22C2×#57511yescharacteristic
770C22C2×#57611yescharacteristic
771C22C2×#57711yescharacteristic
772C4—42no—
773C4—44no—
774C4—42no—
775C4—44no—
776C4—42no—
777C4—44no—
778C4—42no—
779C4—42no—
780C4—82no—
781C4—82no—
782C4—82no—
783C4#267614yes—
784C4C2×#53511yescharacteristic
785C4C2×#53811yescharacteristic
786C4C2×#54811yescharacteristic
787C4C2×#56211yescharacteristic
788C2—82no—
789C2—162no—
790C2—162no—
791C2#3093618yesdirect product factor
792C2C2×#267611yescharacteristic
793C2C2×#325611yescharacteristic
794C2C2×#325711yescharacteristic
795C2C2×#326811yescharacteristic
796C2C2×#327511yescharacteristic
797C2C2×#330911yescharacteristic
798C2C2×#332611yescharacteristic
subgroupG/H
center, socleC24C22×D4
commutator, Frattini, cosocleC22×C4C25
prime radicalC22×#469C2
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C24 ◁ C2×C4×C22⋊C4 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C22×#479C2semidirect
3. C2×#2490C2semidirect
4. C2×#2426C2semidirect
5. #30936C2direct (N × H)
6. C2×#2067C2semidirect
7. C2×#2054C2semidirect
8. C2×#2033C2semidirect
9. C2×#2025C2semidirect
10. C2×#2012C2semidirect
11. C2×#2000C2semidirect
12. C2×#1983C2semidirect
13. C2×#1920C2semidirect
14. C2×#1894C2semidirect
15. C2×#1880C2semidirect
16. C2×#1851C2semidirect
27. C2×#479C22semidirect
44. #2490C22semidirect
46. #2426C22semidirect
62. #2067C22semidirect
63. #2054C22semidirect
64. #2033C22semidirect
65. #2025C22semidirect
66. #2012C22semidirect
67. #2000C22semidirect
68. #1983C22semidirect
69. #1920C22semidirect
70. #1894C22semidirect
71. #1880C22semidirect
72. #1851C22semidirect
791. C2#30936direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#4792
C22×#4692
C2×#24902
C2×#24262
#309362
C2×#20672
C2×#20542
C2×#20332
C2×#20252
C2×#20122
C2×#20002
C2×#19832
C2×#19202
C2×#18942
C2×#18802
C2×#18512