Finite Group Databasebeta

← C2×#30661 #7501460

Subgroups — C2×#30661 #7501460

Order 512.

2704 conjugacy classes of subgroups.

The subgroup lattice has 779 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#474C211yesmaximal, characteristic, complemented
2C22×#466C211yesmaximal, characteristic
3C2×#2491C211yesmaximal, characteristic, complemented
4C2×#2422C211yesmaximal, characteristic, complemented
5#30661C2116yesmaximal, direct product factor
6C2×#2093C211yesmaximal, characteristic, complemented
7C2×#2067C211yesmaximal, characteristic, complemented
8C2×#2057C211yesmaximal, characteristic, complemented
9C2×#2054C211yesmaximal, characteristic, complemented
10C2×#2033C211yesmaximal, characteristic, complemented
11C2×#2033C211yesmaximal, characteristic, complemented
12C2×#1947C211yesmaximal, characteristic, complemented
13C2×#1925C211yesmaximal, characteristic, complemented
14C2×#1879C211yesmaximal, characteristic, complemented
15C2×#1850C211yesmaximal, characteristic, complemented
16C2×#1808C211yesmaximal, characteristic, complemented
17C23×D8C2211yescharacteristic
18C24×C8C2211yescharacteristic
19C22×C4⋊Q8C2211yescharacteristic
20C22×#124—21no—
21C22×#123—21no—
22C22×#121C2211yescharacteristic
23C22×#121C2211yescharacteristic
24C22×C4×D4C2211yescharacteristic
25C2×#474—28no—
26C2×#474C2218yescomplemented
27C2×#466—28no—
28C2×#466C2218yes—
29C22×#107C2211yescharacteristic
30C22×#107C2211yescharacteristic
31C22×#107C2211yescharacteristic
32C22×#107C2211yescharacteristic
33C22×#107C2211yescharacteristic
34C22×C4⋊C8C2211yescharacteristic
35C22×C4⋊C8C2211yescharacteristic
36C22×#102C2211yescharacteristic
37C22×#102C2211yescharacteristic
38C22×#102C2211yescharacteristic
39C22×#102C2211yescharacteristic
40C22×#102C2211yescharacteristic
41C22×#102C2211yescharacteristic
42C22×C22⋊C8C2211yescharacteristic
43#2491—24no—
44#2491C2218yescomplemented
45#2422—24no—
46#2422C2218yescomplemented
47C2×#397—21no—
48C2×#394—21no—
49C2×#394—21no—
50C2×#393—21no—
51C2×#390C2211yescharacteristic
52C2×#390C2211yescharacteristic
53C2×#390C2211yescharacteristic
54C2×#389C2211yescharacteristic
55C2×#388—21no—
56C2×#385—21no—
57C2×#384C2211yescharacteristic
58C2×#380C2211yescharacteristic
59C2×#380C2211yescharacteristic
60C2×C4×C4⋊C4C2211yescharacteristic
61C2×C4×C22⋊C4C2211yescharacteristic
62#2093C2218yescomplemented
63#2067C2218yescomplemented
64#2057C2218yescomplemented
65#2054C2218yescomplemented
66#2033C2218yescomplemented
67#2033C2218yescomplemented
68#1947C2218yescomplemented
69#1925C2218yescomplemented
70#1879C2218yescomplemented
71#1850C2218yescomplemented
72#1808C2218yescomplemented
73C2×#340C2211yescharacteristic
74C2×#340C2211yescharacteristic
75C2×#340C2211yescharacteristic
76C2×#340C2211yescharacteristic
77C2×#336C2211yescharacteristic
78C2×#336C2211yescharacteristic
79C23×Q8—21no—
80C23×D4—21no—
81C23×D4—21no—
82C23×D4C2311yescharacteristic
83C23×D4C2311yescharacteristic
84C24×C4—21no—
85C24×C4C2311yescharacteristic
86C22×D8—24no—
87C22×D8—24no—
88C22×D8—42no—
89C22×D8C2314yes—
90C23×C8—24no—
91C23×C8—24no—
92C23×C8—42no—
93C23×C8C2311yescharacteristic
94C23×C8C2311yescharacteristic
95C23×C8C2314yes—
96C23×C8C2311yescharacteristic
97C23×C8C2311yescharacteristic
98C2×C4⋊Q8—24no—
99C2×C4⋊Q8—22no—
100C2×C4⋊Q8—42no—
101C2×C4⋊Q8C2314yes—
102C2×#124—28no—
103C2×#124—48no—
104C2×#123—28no—
105C2×#123—48no—
106C2×#121—22no—
107C2×#121—22no—
108C2×#121—24no—
109C2×#121—24no—
110C2×#121—42no—
111C2×#121—42no—
112C2×#121C2314yes—
113C2×#121C2314yes—
114C2×C4×D4—24no—
115C2×C4×D4—22no—
116C2×C4×D4—42no—
117C2×C4×D4C2314yes—
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⋊C4—21no—
136C22×C22⋊C4—21no—
137C22×C22⋊C4—21no—
138C22×C22⋊C4—21no—
139C22×C22⋊C4D411yescharacteristic
140C22×C22⋊C4D411yescharacteristic
141C22×C42—21no—
142C22×C42C2311yescharacteristic
143C22×C42C2311yescharacteristic
144#474—232no—
145#466—232no—
146C2×#107—24no—
147C2×#107—24no—
148C2×#107—24no—
149C2×#107—42no—
150C2×#107—42no—
151C2×#107C2314yes—
152C2×#107C2314yes—
153C2×#107C2314yes—
154C2×#107C2314yes—
155C2×#107C2314yes—
156C2×C4⋊C8—24no—
157C2×C4⋊C8—24no—
158C2×C4⋊C8C2314yes—
159C2×C4⋊C8C2314yes—
160C2×#102—24no—
161C2×#102—24no—
162C2×#102—42no—
163C2×#102—42no—
164C2×#102—42no—
165C2×#102D418yes—
166C2×#102C2314yes—
167C2×#102C2314yes—
168C2×#102C2314yes—
169C2×#102C2314yes—
170C2×#102C2314yes—
171C2×#102C2314yes—
172C2×C22⋊C8—42no—
173C2×C22⋊C8C2314yes—
174#397—28no—
175#394—28no—
176#394—28no—
177#393—28no—
178#390—22no—
179#390—22no—
180#390—22no—
181#390C2314yes—
182#390C2314yes—
183#390C2314yes—
184#389—22no—
185#389C2314yes—
186#388—28no—
187#385—28no—
188#384—22no—
189#384C2314yes—
190#380—22no—
191#380—22no—
192#380C2314yes—
193#380C2314yes—
194C4×C4⋊C4—22no—
195C4×C4⋊C4C2314yes—
196C4×C22⋊C4D414yes—
197C4×C22⋊C4C2314yes—
198C2×#95—21no—
199C2×#95—21no—
200C2×#95—21no—
201C2×#95—21no—
202C2×#95D411yescharacteristic
203C2×#95D411yescharacteristic
204#340C2314yes—
205#340C2314yes—
206#340C2314yes—
207#340C2314yes—
208#336C2314yes—
209#336C2314yes—
210C25—21no—
211C25—21no—
212C25C2×D411yescharacteristic
213C22×Q8—24no—
214C22×Q8—44no—
215C22×Q8—44no—
216C22×Q8—82no—
217C22×D4—24no—
218C22×D4—24no—
219C22×D4—21no—
220C22×D4—22no—
221C22×D4—21no—
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—22no—
232C22×D4—44no—
233C22×D4—44no—
234C22×D4—44no—
235C22×D4—44no—
236C22×D4—82no—
237C22×D4—82no—
238C22×D4C2×D414yes—
239C22×D4C2412yes—
240C22×D4C2412yes—
241C23×C4—21no—
242C23×C4—22no—
243C23×C4—22no—
244C23×C4—22no—
245C23×C4—22no—
246C23×C4—22no—
247C23×C4—22no—
248C23×C4—21no—
249C23×C4—21no—
250C23×C4—21no—
251C23×C4—21no—
252C23×C4—21no—
253C23×C4—24no—
254C23×C4—44no—
255C23×C4—44no—
256C23×C4—82no—
257C23×C4C2×D412yes—
258C23×C4C2×D411yescharacteristic
259C23×C4C2×D411yescharacteristic
260C23×C4C2×D411yescharacteristic
261C23×C4C2×D411yescharacteristic
262C23×C4C2×D411yescharacteristic
263C23×C4C2412yes—
264C23×C4C2411yescharacteristic
265C2×D8—28no—
266C2×D8—28no—
267C2×D8—44no—
268C2×D8—416no—
269C22×C8—22no—
270C22×C8—22no—
271C22×C8—22no—
272C22×C8—22no—
273C22×C8—22no—
274C22×C8—22no—
275C22×C8—22no—
276C22×C8—22no—
277C22×C8—22no—
278C22×C8—22no—
279C22×C8—28no—
280C22×C8—28no—
281C22×C8—44no—
282C22×C8—416no—
283C22×C8C2×D414yes—
284C22×C8#4114yes—
285C22×C8C2412yes—
286C22×C8C2412yes—
287C22×C8C2412yes—
288C22×C8C2412yes—
289C4⋊Q8—28no—
290C4⋊Q8—44no—
291C4⋊Q8—48no—
292#124—432no—
293#123—432no—
294#121—28no—
295#121—28no—
296#121—44no—
297#121—44no—
298#121—48no—
299#121—48no—
300C4×D4—28no—
301C4×D4—44no—
302C4×D4—48no—
303C2×C4⋊C4—21no—
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—22no—
312C2×C4⋊C4—22no—
313C2×C4⋊C4—22no—
314C2×C4⋊C4—22no—
315C2×C4⋊C4—24no—
316C2×C4⋊C4—24no—
317C2×C4⋊C4—24no—
318C2×C4⋊C4—21no—
319C2×C4⋊C4—21no—
320C2×C4⋊C4—21no—
321C2×C4⋊C4—21no—
322C2×C4⋊C4—21no—
323C2×C4⋊C4—24no—
324C2×C4⋊C4—44no—
325C2×C4⋊C4—44no—
326C2×C4⋊C4—44no—
327C2×C4⋊C4—82no—
328C2×C4⋊C4C2×D414yes—
329C2×C4⋊C4C2412yes—
330C2×C4⋊C4C2412yes—
331C2×C4⋊C4C2412yes—
332C2×C4⋊C4C2412yes—
333C2×C4⋊C4C2412yes—
334C2×C4⋊C4C2412yes—
335C2×C22⋊C4—24no—
336C2×C22⋊C4—24no—
337C2×C22⋊C4—24no—
338C2×C22⋊C4—24no—
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—42no—
347C2×C22⋊C4—44no—
348C2×C22⋊C4—44no—
349C2×C22⋊C4—44no—
350C2×C22⋊C4—44no—
351C2×C22⋊C4—44no—
352C2×C22⋊C4—44no—
353C2×C22⋊C4—44no—
354C2×C22⋊C4—44no—
355C2×C22⋊C4—44no—
356C2×C22⋊C4—44no—
357C2×C22⋊C4—82no—
358C2×C22⋊C4D818yescomplemented
359C2×C22⋊C4C2×D414yes—
360C2×C22⋊C4C2×D414yes—
361C2×C42—22no—
362C2×C42—22no—
363C2×C42—22no—
364C2×C42—22no—
365C2×C42—24no—
366C2×C42—44no—
367C2×C42C2×D412yes—
368C2×C42C2×D412yes—
369C2×C42C2412yes—
370C2×C42C2412yes—
371#107—28no—
372#107—28no—
373#107—28no—
374#107—44no—
375#107—44no—
376C4⋊C8—28no—
377C4⋊C8—28no—
378#102—28no—
379#102—28no—
380#102—44no—
381#102—44no—
382#102—44no—
383#102C2×D4116yes—
384C22⋊C8—44no—
385#95—24no—
386#95—24no—
387#95—24no—
388#95—24no—
389#95C2×D414yes—
390#95C2×D414yes—
391C24—22no—
392C24—22no—
393C24—22no—
394C24—22no—
395C24—22no—
396C24—22no—
397C24—24no—
398C24—22no—
399C24—22no—
400C24—42no—
401C24—42no—
402C24—42no—
403C24—42no—
404C24—42no—
405C24—42no—
406C24—42no—
407C24—42no—
408C24—42no—
409C24—42no—
410C24—42no—
411C24—42no—
412C24—42no—
413C24C2×D814yes—
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—44no—
439C2×D4—42no—
440C2×D4—42no—
441C2×D4—44no—
442C2×D4—44no—
443C2×D4—42no—
444C2×D4—44no—
445C2×D4—42no—
446C2×D4—42no—
447C2×D4—44no—
448C2×D4—44no—
449C2×D4—84no—
450C2×D4—84no—
451C2×D4—816no—
452C2×D4—816no—
453C2×D4C22×D414yes—
454C22×C4—22no—
455C22×C4—22no—
456C22×C4—22no—
457C22×C4—22no—
458C22×C4—22no—
459C22×C4—22no—
460C22×C4—22no—
461C22×C4—24no—
462C22×C4—22no—
463C22×C4—22no—
464C22×C4—22no—
465C22×C4—22no—
466C22×C4—22no—
467C22×C4—22no—
468C22×C4—22no—
469C22×C4—24no—
470C22×C4—24no—
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—22no—
480C22×C4—22no—
481C22×C4—22no—
482C22×C4—22no—
483C22×C4—48no—
484C22×C4—42no—
485C22×C4—42no—
486C22×C4—44no—
487C22×C4—44no—
488C22×C4—44no—
489C22×C4—44no—
490C22×C4—42no—
491C22×C4—42no—
492C22×C4—42no—
493C22×C4—42no—
494C22×C4—42no—
495C22×C4—42no—
496C22×C4—42no—
497C22×C4—42no—
498C22×C4—42no—
499C22×C4—42no—
500C22×C4—42no—
501C22×C4—42no—
502C22×C4—42no—
503C22×C4—42no—
504C22×C4—42no—
505C22×C4—48no—
506C22×C4—84no—
507C22×C4—816no—
508C22×C4C2×D814yes—
509C22×C4C2×D814yes—
510C22×C4C22×D412yes—
511C22×C4C22×D412yes—
512C22×C4C22×D412yes—
513C22×C4C22×D412yes—
514C22×C4C22×D412yes—
515C22×C4C22×D412yes—
516C22×C4C22×D411yescharacteristic
517C22×C4C2×#4112yes—
518C22×C4H(5,𝔽2)12yes—
519C22×C4H(5,𝔽2)12yes—
520C22×C42−1+412yes—
521C22×C42−1+412yes—
522C22×C4C2511yescharacteristic
523D8—416no—
524C2×C8—28no—
525C2×C8—28no—
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—22no—
535C2×C8—22no—
536C2×C8—416no—
537C2×C8—44no—
538C2×C8—44no—
539C2×C8C22×D414yes—
540C2×C8C2×#4114yes—
541C4⋊C4—24no—
542C4⋊C4—22no—
543C4⋊C4—22no—
544C4⋊C4—22no—
545C4⋊C4—22no—
546C4⋊C4—22no—
547C4⋊C4—22no—
548C4⋊C4—22no—
549C4⋊C4—22no—
550C4⋊C4—22no—
551C4⋊C4—22no—
552C4⋊C4—22no—
553C4⋊C4—48no—
554C4⋊C4—42no—
555C4⋊C4—42no—
556C4⋊C4—42no—
557C4⋊C4—42no—
558C4⋊C4—42no—
559C4⋊C4—48no—
560C4⋊C4—48no—
561C4⋊C4—84no—
562C4⋊C4C22×D414yes—
563C22⋊C4—44no—
564C22⋊C4—48no—
565C22⋊C4—48no—
566C22⋊C4—48no—
567C22⋊C4—48no—
568C22⋊C4—48no—
569C22⋊C4—48no—
570C22⋊C4—48no—
571C22⋊C4—48no—
572C22⋊C4—48no—
573C22⋊C4—48no—
574C22⋊C4—84no—
575C22⋊C4C2×D8116yescomplemented
576C42—24no—
577C42—24no—
578C42—22no—
579C42—22no—
580C42—22no—
581C42—22no—
582C42—48no—
583C23—28no—
584C23—22no—
585C23—22no—
586C23—22no—
587C23—28no—
588C23—28no—
589C23—22no—
590C23—22no—
591C23—22no—
592C23—24no—
593C23—44no—
594C23—44no—
595C23—44no—
596C23—44no—
597C23—48no—
598C23—42no—
599C23—42no—
600C23—48no—
601C23—48no—
602C23—42no—
603C23—42no—
604C23—42no—
605C23—42no—
606C23—42no—
607C23—42no—
608C23—42no—
609C23—42no—
610C23—42no—
611C23—42no—
612C23—42no—
613C23—84no—
614C23—84no—
615C23—84no—
616C23—84no—
617C23—84no—
618C23—84no—
619C23—84no—
620C23—84no—
621C23—84no—
622C23—84no—
623C23—84no—
624C23#53712yes—
625C23D4212yes—
626C23#54712yes—
627C23C22×D814yes—
628C23C22×D812yes—
629C23#57512yes—
630C23#57612yes—
631C23#57812yes—
632C23C23×D411yescharacteristic
633Q8—816no—
634D4—24no—
635D4—24no—
636D4—48no—
637D4—42no—
638D4—42no—
639D4—42no—
640D4—42no—
641D4—42no—
642D4—42no—
643D4—816no—
644D4—816no—
645D4—84no—
646C2×C4—28no—
647C2×C4—22no—
648C2×C4—22no—
649C2×C4—28no—
650C2×C4—22no—
651C2×C4—22no—
652C2×C4—22no—
653C2×C4—22no—
654C2×C4—22no—
655C2×C4—24no—
656C2×C4—22no—
657C2×C4—22no—
658C2×C4—22no—
659C2×C4—22no—
660C2×C4—22no—
661C2×C4—22no—
662C2×C4—44no—
663C2×C4—44no—
664C2×C4—44no—
665C2×C4—48no—
666C2×C4—42no—
667C2×C4—42no—
668C2×C4—48no—
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—42no—
682C2×C4—42no—
683C2×C4—42no—
684C2×C4—42no—
685C2×C4—42no—
686C2×C4—42no—
687C2×C4—42no—
688C2×C4—816no—
689C2×C4—84no—
690C2×C4—84no—
691C2×C4—84no—
692C2×C4—84no—
693C2×C4—84no—
694C2×C4#53614yes—
695C2×C4#53712yes—
696C2×C4#54214yes—
697C2×C4D4212yes—
698C2×C4#54614yes—
699C2×C4#54712yes—
700C2×C4#56214yes—
701C2×C4C22×D814yes—
702C2×C4C22×D814yes—
703C2×C4C23×D411yescharacteristic
704C2×C4C22×#4111yescharacteristic
705C2×C4C2×H(5,𝔽2)11yescharacteristic
706C2×C4C2×H(5,𝔽2)11yescharacteristic
707C2×C4C2×2−1+411yescharacteristic
708C2×C4C2×2−1+411yescharacteristic
709C8—24no—
710C8—24no—
711C8—42no—
712C8—42no—
713C22—24no—
714C22—24no—
715C22—24no—
716C22—42no—
717C22—42no—
718C22—42no—
719C22—416no—
720C22—42no—
721C22—44no—
722C22—44no—
723C22—44no—
724C22—82no—
725C22—82no—
726C22—816no—
727C22—82no—
728C22—82no—
729C22—82no—
730C22—82no—
731C22—82no—
732C22—82no—
733C22—82no—
734C22—82no—
735C22—82no—
736C22—168no—
737C22#267214yes—
738C22#324514yes—
739C22#326214yes—
740C22#326914yes—
741C22D4×D814yes—
742C22#333414yes—
743C22#334714yes—
744C22C2×#53711yescharacteristic
745C22C2×D4211yescharacteristic
746C22C2×#54711yescharacteristic
747C22C23×D811yescharacteristic
748C22C2×#57511yescharacteristic
749C22C2×#57611yescharacteristic
750C22C2×#57811yescharacteristic
751C4—24no—
752C4—24no—
753C4—42no—
754C4—42no—
755C4—44no—
756C4—42no—
757C4—82no—
758C4—82no—
759C4—82no—
760C4—82no—
761C4—82no—
762C4#267214yes—
763C4C2×#53611yescharacteristic
764C4C2×#54211yescharacteristic
765C4C2×#54611yescharacteristic
766C4C2×#56211yescharacteristic
767C2—44no—
768C2—84no—
769C2—162no—
770C2#3066118yesdirect product factor
771C2C2×#267211yescharacteristic
772C2C2×#324511yescharacteristic
773C2C2×#326211yescharacteristic
774C2C2×#326911yescharacteristic
775C2C2×D4×D811yescharacteristic
776C2C2×#333411yescharacteristic
777C2C2×#334711yescharacteristic
subgroupG/H
center, socleC24C22×D4
commutator, Frattini, cosocleC22×C4C25
prime radicalC22×#466C2
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×#474C2semidirect
3. C2×#2491C2semidirect
4. C2×#2422C2semidirect
5. #30661C2direct (N × H)
6. C2×#2093C2semidirect
7. C2×#2067C2semidirect
8. C2×#2057C2semidirect
9. C2×#2054C2semidirect
10. C2×#2033C2semidirect
11. C2×#2033C2semidirect
12. C2×#1947C2semidirect
13. C2×#1925C2semidirect
14. C2×#1879C2semidirect
15. C2×#1850C2semidirect
16. C2×#1808C2semidirect
26. C2×#474C22semidirect
44. #2491C22semidirect
46. #2422C22semidirect
62. #2093C22semidirect
63. #2067C22semidirect
64. #2057C22semidirect
65. #2054C22semidirect
66. #2033C22semidirect
67. #2033C22semidirect
68. #1947C22semidirect
69. #1925C22semidirect
70. #1879C22semidirect
71. #1850C22semidirect
72. #1808C22semidirect
358. C2×C22⋊C4D8semidirect
575. C22⋊C4C2×D8semidirect
770. C2#30661direct (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×#4662
C2×#24912
C2×#24222
#306612
C2×#20932
C2×#20672
C2×#20572
C2×#20542
C2×#20332
C2×#19472
C2×#19252
C2×#18792
C2×#18502
C2×#18082