Finite Group Databasebeta

← C2×#30630 #7501382

Subgroups — C2×#30630 #7501382

Order 512.

2654 conjugacy classes of subgroups.

The subgroup lattice has 783 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#486C211yesmaximal, characteristic, complemented
2C22×#482C211yesmaximal, characteristic, complemented
3C2×#2439C211yesmaximal, characteristic, complemented
4C2×#2428C211yesmaximal, characteristic
5#30630C2116yesmaximal, direct product factor
6C2×#2092C211yesmaximal, characteristic, complemented
7C2×#2067C211yesmaximal, characteristic, complemented
8C2×#2057C211yesmaximal, characteristic, complemented
9C2×#2041C211yesmaximal, characteristic, complemented
10C2×#2034C211yesmaximal, characteristic, complemented
11C2×#2033C211yesmaximal, characteristic, complemented
12C2×#1941C211yesmaximal, characteristic, complemented
13C2×#1923C211yesmaximal, characteristic, complemented
14C2×#1875C211yesmaximal, characteristic, complemented
15C2×#1864C211yesmaximal, characteristic, complemented
16C2×#1804C211yesmaximal, characteristic, complemented
17C22×C4⋊Q8C2211yescharacteristic
18C22×#127C2211yescharacteristic
19C22×#121—21no—
20C22×#121C2211yescharacteristic
21C22×#121C2211yescharacteristic
22C22×C4×D4C2211yescharacteristic
23C22×#117C2211yescharacteristic
24C2×#486—28no—
25C2×#486C2218yescomplemented
26C2×#482—28no—
27C2×#482C2218yescomplemented
28C22×#107C2211yescharacteristic
29C22×#107C2211yescharacteristic
30C22×#106C2211yescharacteristic
31C22×#106C2211yescharacteristic
32C22×C4⋊C8C2211yescharacteristic
33C22×#102C2211yescharacteristic
34C22×#102C2211yescharacteristic
35C22×#102C2211yescharacteristic
36C22×#102C2211yescharacteristic
37C22×#102C2211yescharacteristic
38C22×#102C2211yescharacteristic
39C22×#102C2211yescharacteristic
40C22×#102C2211yescharacteristic
41C22×C22⋊C8C2211yescharacteristic
42C22×C22⋊C8C2211yescharacteristic
43C22×C4×C8C2211yescharacteristic
44#2439—24no—
45#2439C2218yescomplemented
46#2428—24no—
47#2428C2218yes—
48C2×#396—21no—
49C2×#394—21no—
50C2×#393—21no—
51C2×#392—21no—
52C2×#391—21no—
53C2×#390C2211yescharacteristic
54C2×#389C2211yescharacteristic
55C2×#389C2211yescharacteristic
56C2×#389C2211yescharacteristic
57C2×#387—21no—
58C2×#386—21no—
59C2×#382C2211yescharacteristic
60C2×#380C2211yescharacteristic
61C2×C4×C22⋊C4C2211yescharacteristic
62#2092C2218yescomplemented
63#2067C2218yescomplemented
64#2057C2218yescomplemented
65#2041C2218yescomplemented
66#2034C2218yescomplemented
67#2033C2218yescomplemented
68#1941C2218yescomplemented
69#1923C2218yescomplemented
70#1875C2218yescomplemented
71#1864C2218yescomplemented
72#1804C2218yescomplemented
73C2×#340C2211yescharacteristic
74C2×#340C2211yescharacteristic
75C2×#340C2211yescharacteristic
76C2×#340C2211yescharacteristic
77C2×#336C2211yescharacteristic
78C2×#336C2211yescharacteristic
79C23×Q8—21no—
80C23×D4—21no—
81C23×D4—21no—
82C23×D4—21no—
83C23×D4—21no—
84C23×D4C2311yescharacteristic
85C23×D4C2311yescharacteristic
86C24×C4—21no—
87C24×C4C2311yescharacteristic
88C23×C8C2311yescharacteristic
89C23×C8C2311yescharacteristic
90C23×C8C2311yescharacteristic
91C23×C8C2311yescharacteristic
92C2×C4⋊Q8—24no—
93C2×C4⋊Q8—22no—
94C2×C4⋊Q8—42no—
95C2×C4⋊Q8C2314yes—
96C2×#127—24no—
97C2×#127—22no—
98C2×#127—42no—
99C2×#127C2314yes—
100C2×#121—22no—
101C2×#121—22no—
102C2×#121—28no—
103C2×#121—24no—
104C2×#121—24no—
105C2×#121—48no—
106C2×#121—42no—
107C2×#121—42no—
108C2×#121C2314yes—
109C2×#121C2314yes—
110C2×C4×D4—24no—
111C2×C4×D4—22no—
112C2×C4×D4—42no—
113C2×C4×D4C2314yes—
114C2×#117—22no—
115C2×#117—24no—
116C2×#117—42no—
117C2×#117C2314yes—
118C22×C4⋊C4—21no—
119C22×C4⋊C4—21no—
120C22×C4⋊C4—21no—
121C22×C4⋊C4—21no—
122C22×C4⋊C4C2311yescharacteristic
123C22×C4⋊C4C2311yescharacteristic
124C22×C4⋊C4C2311yescharacteristic
125C22×C4⋊C4C2311yescharacteristic
126C22×C4⋊C4C2311yescharacteristic
127C22×C4⋊C4C2311yescharacteristic
128C22×C22⋊C4—21no—
129C22×C22⋊C4—21no—
130C22×C22⋊C4—21no—
131C22×C22⋊C4—21no—
132C22×C22⋊C4—21no—
133C22×C22⋊C4—21no—
134C22×C22⋊C4—21no—
135C22×C22⋊C4D411yescharacteristic
136C22×C22⋊C4D411yescharacteristic
137C22×C42—21no—
138C22×C42C2311yescharacteristic
139C22×C42C2311yescharacteristic
140#486—232no—
141#482—232no—
142C2×#107—24no—
143C2×#107—42no—
144C2×#107C2314yes—
145C2×#107C2314yes—
146C2×#106—24no—
147C2×#106—24no—
148C2×#106C2314yes—
149C2×#106C2314yes—
150C2×C4⋊C8—42no—
151C2×C4⋊C8C2314yes—
152C2×#102—24no—
153C2×#102—24no—
154C2×#102—24no—
155C2×#102—24no—
156C2×#102—42no—
157C2×#102—42no—
158C2×#102—42no—
159C2×#102D418yescomplemented
160C2×#102C2314yes—
161C2×#102C2314yes—
162C2×#102C2314yes—
163C2×#102C2314yes—
164C2×#102C2314yes—
165C2×#102C2314yes—
166C2×#102C2314yes—
167C2×#102C2314yes—
168C2×C22⋊C8—24no—
169C2×C22⋊C8—42no—
170C2×C22⋊C8C2314yes—
171C2×C22⋊C8C2314yes—
172C2×C4×C8—24no—
173C2×C4×C8C2314yes—
174#396—28no—
175#394—28no—
176#393—28no—
177#392—28no—
178#391—28no—
179#390—22no—
180#390C2314yes—
181#389—22no—
182#389—22no—
183#389—22no—
184#389C2314yes—
185#389C2314yes—
186#389C2314yes—
187#387—28no—
188#386—28no—
189#382—22no—
190#382C2314yes—
191#380—22no—
192#380C2314yes—
193C4×C22⋊C4D414yes—
194C4×C22⋊C4C2314yes—
195C2×#95—21no—
196C2×#95—21no—
197C2×#95—21no—
198C2×#95—21no—
199C2×#95—21no—
200C2×#95—21no—
201C2×#95D411yescharacteristic
202C2×#95D411yescharacteristic
203#340C2314yes—
204#340C2314yes—
205#340C2314yes—
206#340C2314yes—
207#336C2314yes—
208#336C2314yes—
209C25—21no—
210C25—21no—
211C25C2×D411yescharacteristic
212C22×Q8—24no—
213C22×Q8—44no—
214C22×Q8—44no—
215C22×Q8—82no—
216C22×D4—24no—
217C22×D4—24no—
218C22×D4—21no—
219C22×D4—22no—
220C22×D4—21no—
221C22×D4—24no—
222C22×D4—24no—
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—22no—
232C22×D4—22no—
233C22×D4—44no—
234C22×D4—44no—
235C22×D4—44no—
236C22×D4—44no—
237C22×D4—44no—
238C22×D4—44no—
239C22×D4—44no—
240C22×D4—44no—
241C22×D4—82no—
242C22×D4—82no—
243C22×D4—82no—
244C22×D4—82no—
245C22×D4C2×D414yes—
246C22×D4C2412yes—
247C22×D4C2412yes—
248C23×C4—21no—
249C23×C4—21no—
250C23×C4—22no—
251C23×C4—22no—
252C23×C4—22no—
253C23×C4—22no—
254C23×C4—22no—
255C23×C4—22no—
256C23×C4—21no—
257C23×C4—21no—
258C23×C4—21no—
259C23×C4—21no—
260C23×C4—24no—
261C23×C4—44no—
262C23×C4—44no—
263C23×C4—82no—
264C23×C4C2×D412yes—
265C23×C4C2×D411yescharacteristic
266C23×C4C2×D411yescharacteristic
267C23×C4C2×D411yescharacteristic
268C23×C4C2×D411yescharacteristic
269C23×C4C2×D411yescharacteristic
270C23×C4C2412yes—
271C23×C4C2411yescharacteristic
272C22×C8—22no—
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×C8C2×D414yes—
284C22×C8C2412yes—
285C22×C8C2412yes—
286C22×C8C2412yes—
287C22×C8C2412yes—
288C4⋊Q8—28no—
289C4⋊Q8—44no—
290C4⋊Q8—48no—
291#127—28no—
292#127—44no—
293#127—48no—
294#121—28no—
295#121—28no—
296#121—432no—
297#121—44no—
298#121—44no—
299#121—48no—
300#121—48no—
301C4×D4—28no—
302C4×D4—44no—
303C4×D4—48no—
304#117—28no—
305#117—44no—
306#117—48no—
307C2×C4⋊C4—21no—
308C2×C4⋊C4—21no—
309C2×C4⋊C4—22no—
310C2×C4⋊C4—22no—
311C2×C4⋊C4—22no—
312C2×C4⋊C4—22no—
313C2×C4⋊C4—22no—
314C2×C4⋊C4—22no—
315C2×C4⋊C4—22no—
316C2×C4⋊C4—22no—
317C2×C4⋊C4—22no—
318C2×C4⋊C4—22no—
319C2×C4⋊C4—24no—
320C2×C4⋊C4—24no—
321C2×C4⋊C4—24no—
322C2×C4⋊C4—21no—
323C2×C4⋊C4—21no—
324C2×C4⋊C4—21no—
325C2×C4⋊C4—21no—
326C2×C4⋊C4—24no—
327C2×C4⋊C4—44no—
328C2×C4⋊C4—44no—
329C2×C4⋊C4—44no—
330C2×C4⋊C4—82no—
331C2×C4⋊C4C2×D414yes—
332C2×C4⋊C4#4114yes—
333C2×C4⋊C4C2412yes—
334C2×C4⋊C4C2412yes—
335C2×C4⋊C4C2412yes—
336C2×C4⋊C4C2412yes—
337C2×C4⋊C4C2412yes—
338C2×C4⋊C4C2412yes—
339C2×C22⋊C4—24no—
340C2×C22⋊C4—24no—
341C2×C22⋊C4—24no—
342C2×C22⋊C4—24no—
343C2×C22⋊C4—24no—
344C2×C22⋊C4—24no—
345C2×C22⋊C4—24no—
346C2×C22⋊C4—24no—
347C2×C22⋊C4—24no—
348C2×C22⋊C4—44no—
349C2×C22⋊C4—44no—
350C2×C22⋊C4—44no—
351C2×C22⋊C4—44no—
352C2×C22⋊C4—44no—
353C2×C22⋊C4—82no—
354C2×C22⋊C4—82no—
355C2×C22⋊C4C2×D414yes—
356C2×C22⋊C4C2×D414yes—
357C2×C42—22no—
358C2×C42—22no—
359C2×C42—22no—
360C2×C42—22no—
361C2×C42—24no—
362C2×C42—44no—
363C2×C42C2×D412yes—
364C2×C42C2×D412yes—
365C2×C42C2412yes—
366C2×C42C2412yes—
367#107—28no—
368#107—44no—
369#106—28no—
370#106—28no—
371C4⋊C8—44no—
372#102—28no—
373#102—28no—
374#102—28no—
375#102—28no—
376#102—44no—
377#102—44no—
378#102—44no—
379#102C2×D4116yescomplemented
380C22⋊C8—28no—
381C22⋊C8—44no—
382C4×C8—28no—
383#95—24no—
384#95—24no—
385#95—24no—
386#95—24no—
387#95—24no—
388#95—24no—
389#95C2×D414yes—
390#95C2×D414yes—
391C24—22no—
392C24—22no—
393C24—24no—
394C24—22no—
395C24—22no—
396C24—22no—
397C24—22no—
398C24—22no—
399C24—22no—
400C24—22no—
401C24—42no—
402C24—42no—
403C24—42no—
404C24—42no—
405C24—42no—
406C24—42no—
407C24—42no—
408C24—42no—
409C24—42no—
410C24—42no—
411C24—42no—
412C24—42no—
413C24—42no—
414C24C22×D412yes—
415C24C22×D411yescharacteristic
416C2×Q8—48no—
417C2×Q8—48no—
418C2×Q8—84no—
419C2×Q8—816no—
420C2×D4—28no—
421C2×D4—24no—
422C2×D4—28no—
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—48no—
435C2×D4—48no—
436C2×D4—48no—
437C2×D4—48no—
438C2×D4—48no—
439C2×D4—48no—
440C2×D4—42no—
441C2×D4—42no—
442C2×D4—44no—
443C2×D4—44no—
444C2×D4—44no—
445C2×D4—42no—
446C2×D4—42no—
447C2×D4—42no—
448C2×D4—44no—
449C2×D4—44no—
450C2×D4—44no—
451C2×D4—48no—
452C2×D4—48no—
453C2×D4—84no—
454C2×D4—84no—
455C2×D4—816no—
456C2×D4—816no—
457C2×D4—84no—
458C2×D4—84no—
459C2×D4—816no—
460C2×D4—816no—
461C2×D4C22×D414yes—
462C22×C4—22no—
463C22×C4—22no—
464C22×C4—22no—
465C22×C4—22no—
466C22×C4—22no—
467C22×C4—22no—
468C22×C4—24no—
469C22×C4—22no—
470C22×C4—22no—
471C22×C4—24no—
472C22×C4—22no—
473C22×C4—22no—
474C22×C4—22no—
475C22×C4—22no—
476C22×C4—22no—
477C22×C4—22no—
478C22×C4—22no—
479C22×C4—24no—
480C22×C4—24no—
481C22×C4—24no—
482C22×C4—22no—
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—48no—
493C22×C4—48no—
494C22×C4—42no—
495C22×C4—42no—
496C22×C4—42no—
497C22×C4—42no—
498C22×C4—44no—
499C22×C4—44no—
500C22×C4—44no—
501C22×C4—44no—
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—42no—
512C22×C4—42no—
513C22×C4—42no—
514C22×C4—84no—
515C22×C4—816no—
516C22×C4#13514yes—
517C22×C4AGL(1,ℤ/8)14yes—
518C22×C4C22×D412yes—
519C22×C4C22×D412yes—
520C22×C4C22×D412yes—
521C22×C4C22×D412yes—
522C22×C4C22×D412yes—
523C22×C4C22×D411yescharacteristic
524C22×C4C22×D412yes—
525C22×C4C2×#4112yes—
526C22×C4H(5,𝔽2)12yes—
527C22×C4H(5,𝔽2)12yes—
528C22×C42−1+412yes—
529C22×C42−1+412yes—
530C22×C4C2511yescharacteristic
531C2×C8—28no—
532C2×C8—22no—
533C2×C8—22no—
534C2×C8—22no—
535C2×C8—22no—
536C2×C8—22no—
537C2×C8—22no—
538C2×C8—22no—
539C2×C8—22no—
540C2×C8—22no—
541C2×C8—22no—
542C2×C8—22no—
543C2×C8—44no—
544C2×C8—44no—
545C2×C8—44no—
546C2×C8C22×D414yes—
547C4⋊C4—24no—
548C4⋊C4—24no—
549C4⋊C4—22no—
550C4⋊C4—22no—
551C4⋊C4—22no—
552C4⋊C4—22no—
553C4⋊C4—22no—
554C4⋊C4—22no—
555C4⋊C4—22no—
556C4⋊C4—22no—
557C4⋊C4—22no—
558C4⋊C4—22no—
559C4⋊C4—48no—
560C4⋊C4—42no—
561C4⋊C4—42no—
562C4⋊C4—42no—
563C4⋊C4—42no—
564C4⋊C4—48no—
565C4⋊C4—48no—
566C4⋊C4—84no—
567C4⋊C4C22×D414yes—
568C4⋊C4C2×#4114yes—
569C22⋊C4—28no—
570C22⋊C4—28no—
571C22⋊C4—48no—
572C22⋊C4—48no—
573C22⋊C4—48no—
574C22⋊C4—48no—
575C22⋊C4—48no—
576C22⋊C4—84no—
577C22⋊C4—84no—
578C42—24no—
579C42—24no—
580C42—22no—
581C42—22no—
582C42—22no—
583C42—22no—
584C42—48no—
585C23—22no—
586C23—22no—
587C23—24no—
588C23—22no—
589C23—22no—
590C23—22no—
591C23—22no—
592C23—22no—
593C23—44no—
594C23—48no—
595C23—42no—
596C23—42no—
597C23—44no—
598C23—44no—
599C23—44no—
600C23—48no—
601C23—48no—
602C23—44no—
603C23—44no—
604C23—42no—
605C23—42no—
606C23—44no—
607C23—42no—
608C23—42no—
609C23—42no—
610C23—42no—
611C23—42no—
612C23—42no—
613C23—42no—
614C23—42no—
615C23—42no—
616C23—84no—
617C23—84no—
618C23—84no—
619C23—84no—
620C23—84no—
621C23—84no—
622C23—84no—
623C23—84no—
624C23—84no—
625C23—84no—
626C23—84no—
627C23#53612yes—
628C23D4212yes—
629C23#54612yes—
630C23C2×#13512yes—
631C23C2×AGL(1,ℤ/8)12yes—
632C23#57612yes—
633C23#57712yes—
634C23C23×D411yescharacteristic
635Q8—816no—
636D4—24no—
637D4—24no—
638D4—48no—
639D4—42no—
640D4—42no—
641D4—42no—
642D4—42no—
643D4—42no—
644D4—42no—
645D4—816no—
646D4—816no—
647D4—816no—
648D4—816no—
649D4—84no—
650C2×C4—22no—
651C2×C4—22no—
652C2×C4—28no—
653C2×C4—28no—
654C2×C4—22no—
655C2×C4—22no—
656C2×C4—22no—
657C2×C4—22no—
658C2×C4—24no—
659C2×C4—22no—
660C2×C4—22no—
661C2×C4—24no—
662C2×C4—22no—
663C2×C4—22no—
664C2×C4—22no—
665C2×C4—22no—
666C2×C4—22no—
667C2×C4—44no—
668C2×C4—48no—
669C2×C4—44no—
670C2×C4—42no—
671C2×C4—42no—
672C2×C4—44no—
673C2×C4—48no—
674C2×C4—42no—
675C2×C4—42no—
676C2×C4—48no—
677C2×C4—42no—
678C2×C4—42no—
679C2×C4—42no—
680C2×C4—42no—
681C2×C4—42no—
682C2×C4—42no—
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—816no—
694C2×C4—84no—
695C2×C4—84no—
696C2×C4—84no—
697C2×C4—84no—
698C2×C4#53612yes—
699C2×C4#53714yes—
700C2×C4#54214yes—
701C2×C4D4212yes—
702C2×C4#54612yes—
703C2×C4#54714yes—
704C2×C4#56214yes—
705C2×C4C2×#13514yes—
706C2×C4C2×AGL(1,ℤ/8)14yes—
707C2×C4C23×D411yescharacteristic
708C2×C4C22×#4111yescharacteristic
709C2×C4C2×H(5,𝔽2)11yescharacteristic
710C2×C4C2×H(5,𝔽2)11yescharacteristic
711C2×C4C2×2−1+411yescharacteristic
712C2×C4C2×2−1+411yescharacteristic
713C8—24no—
714C8—42no—
715C8—42no—
716C8—42no—
717C22—42no—
718C22—44no—
719C22—44no—
720C22—42no—
721C22—42no—
722C22—44no—
723C22—42no—
724C22—42no—
725C22—42no—
726C22—42no—
727C22—88no—
728C22—816no—
729C22—82no—
730C22—82no—
731C22—82no—
732C22—82no—
733C22—82no—
734C22—82no—
735C22—82no—
736C22—82no—
737C22—82no—
738C22—82no—
739C22—82no—
740C22—168no—
741C22#267214yes—
742C22#322814yes—
743C22#324114yes—
744C22#326414yes—
745C22#328214yes—
746C22#330514yes—
747C22#332414yes—
748C22C2×#53611yescharacteristic
749C22C2×D4211yescharacteristic
750C22C2×#54611yescharacteristic
751C22C22×#13511yescharacteristic
752C22C22×AGL(1,ℤ/8)11yescharacteristic
753C22C2×#57611yescharacteristic
754C22C2×#57711yescharacteristic
755C4—24no—
756C4—24no—
757C4—44no—
758C4—42no—
759C4—42no—
760C4—42no—
761C4—44no—
762C4—82no—
763C4—82no—
764C4—82no—
765C4—82no—
766C4#267214yes—
767C4C2×#53711yescharacteristic
768C4C2×#54211yescharacteristic
769C4C2×#54711yescharacteristic
770C4C2×#56211yescharacteristic
771C2—82no—
772C2—84no—
773C2—162no—
774C2#3063018yesdirect product factor
775C2C2×#267211yescharacteristic
776C2C2×#322811yescharacteristic
777C2C2×#324111yescharacteristic
778C2C2×#326411yescharacteristic
779C2C2×#328211yescharacteristic
780C2C2×#330511yescharacteristic
781C2C2×#332411yescharacteristic
subgroupG/H
center, socleC24C22×D4
commutator, Frattini, cosocleC22×C4C25
prime radicalC2×#2428C2
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×#486C2semidirect
2. C22×#482C2semidirect
3. C2×#2439C2semidirect
5. #30630C2direct (N × H)
6. C2×#2092C2semidirect
7. C2×#2067C2semidirect
8. C2×#2057C2semidirect
9. C2×#2041C2semidirect
10. C2×#2034C2semidirect
11. C2×#2033C2semidirect
12. C2×#1941C2semidirect
13. C2×#1923C2semidirect
14. C2×#1875C2semidirect
15. C2×#1864C2semidirect
16. C2×#1804C2semidirect
25. C2×#486C22semidirect
27. C2×#482C22semidirect
45. #2439C22semidirect
62. #2092C22semidirect
63. #2067C22semidirect
64. #2057C22semidirect
65. #2041C22semidirect
66. #2034C22semidirect
67. #2033C22semidirect
68. #1941C22semidirect
69. #1923C22semidirect
70. #1875C22semidirect
71. #1864C22semidirect
72. #1804C22semidirect
159. C2×#102D4semidirect
379. #102C2×D4semidirect
774. C2#30630direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#4862
C22×#4822
C2×#24392
C2×#24282
#306302
C2×#20922
C2×#20672
C2×#20572
C2×#20412
C2×#20342
C2×#20332
C2×#19412
C2×#19232
C2×#18752
C2×#18642
C2×#18042