Finite Group Databasebeta

← C2×#25708 #6450113

Subgroups — C2×#25708 #6450113

Order 512.

3294 conjugacy classes of subgroups.

The subgroup lattice has 764 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#552C211yesmaximal, characteristic
2C22×#499C211yesmaximal, characteristic, complemented
3C22×#479C211yesmaximal, characteristic, complemented
4C2×#2562C211yesmaximal, characteristic
5#25708C2116yesmaximal, direct product factor
6C2×#2036C211yesmaximal, characteristic, complemented
7C2×#2036C211yesmaximal, characteristic, complemented
8C2×#2035C211yesmaximal, characteristic, complemented
9C2×#2035C211yesmaximal, characteristic, complemented
10C2×#1989C211yesmaximal, characteristic, complemented
11C2×#1954C211yesmaximal, characteristic
12C2×#1854C211yesmaximal, characteristic, complemented
13C2×#1854C211yesmaximal, characteristic, complemented
14C2×#1853C211yesmaximal, characteristic, complemented
15C2×#1852C211yesmaximal, characteristic, complemented
16C2×C4×#103C211yesmaximal, characteristic, complemented
17C2×#552—28no—
18C2×#552—28no—
19C2×#552—24no—
20C2×#552C2218yes—
21C22×#126—21no—
22C22×#125—21no—
23C22×#125C2211yescharacteristic
24C22×#125C2211yescharacteristic
25C22×#123—21no—
26C22×C22⋊Q8C2211yescharacteristic
27C22×C22⋊Q8C2211yescharacteristic
28C22×C4×Q8C2211yescharacteristic
29C22×C4×D4C2211yescharacteristic
30C22×#117—21no—
31C22×#117C2211yescharacteristic
32C23×C4⋊C4C2211yescharacteristic
33C2×#499—28no—
34C2×#499C2218yescomplemented
35C2×#479—28no—
36C2×#479C2218yescomplemented
37C22×#107C2211yescharacteristic
38C22×#107C2211yescharacteristic
39C22×#107C2211yescharacteristic
40C22×#106C2211yescharacteristic
41C22×#106C2211yescharacteristic
42C22×#106C2211yescharacteristic
43C22×C4⋊C8C2211yescharacteristic
44C22×#103C2211yescharacteristic
45C22×#103C2211yescharacteristic
46C22×#103C2211yescharacteristic
47C22×#103C2211yescharacteristic
48C22×C22⋊C8C2211yescharacteristic
49C22×C22⋊C8C2211yescharacteristic
50C22×C22⋊C8C2211yescharacteristic
51C22×C22⋊C8C2211yescharacteristic
52C22×C4×C8C2211yescharacteristic
53#2562—24no—
54#2562C2218yes—
55C2×#400—21no—
56C2×#394—21no—
57C2×#388—21no—
58C2×#388—21no—
59C2×#380C2211yescharacteristic
60C2×#380C2211yescharacteristic
61C2×#380C2211yescharacteristic
62C2×#380C2211yescharacteristic
63C2×C4×C4⋊C4C2211yescharacteristic
64#2036C2218yescomplemented
65#2036C2218yescomplemented
66#2035C2218yescomplemented
67#2035C2218yescomplemented
68#1989C2218yescomplemented
69#1954C2218yes—
70#1854C2218yescomplemented
71#1854C2218yescomplemented
72#1853C2218yescomplemented
73#1852C2218yescomplemented
74C4×#103C2218yescomplemented
75C2×#340C2211yescharacteristic
76C2×#340C2211yescharacteristic
77C2×#340C2211yescharacteristic
78C2×#340C2211yescharacteristic
79C2×#340C2211yescharacteristic
80C2×#340C2211yescharacteristic
81C23×Q8C2311yescharacteristic
82C23×D4D411yescharacteristic
83C24×C4—21no—
84C24×C4C2311yescharacteristic
85C24×C4C2311yescharacteristic
86C23×C8C2311yescharacteristic
87C23×C8C2311yescharacteristic
88C23×C8C2311yescharacteristic
89C23×C8C2311yescharacteristic
90#552—264no—
91#552—232no—
92#552—232no—
93C2×#126—216no—
94C2×#126—28no—
95C2×#125—216no—
96C2×#125—28no—
97C2×#125—22no—
98C2×#125—24no—
99C2×#125—22no—
100C2×#125—24no—
101C2×#125—24no—
102C2×#125D418yes—
103C2×#125C2314yes—
104C2×#125C2314yes—
105C2×#123—216no—
106C2×#123—28no—
107C2×C22⋊Q8—24no—
108C2×C22⋊Q8—24no—
109C2×C22⋊Q8—22no—
110C2×C22⋊Q8—22no—
111C2×C22⋊Q8—24no—
112C2×C22⋊Q8—24no—
113C2×C22⋊Q8C2314yes—
114C2×C22⋊Q8C2314yes—
115C2×C4×Q8—24no—
116C2×C4×Q8—22no—
117C2×C4×Q8D418yes—
118C2×C4×Q8C2314yes—
119C2×C4×D4—24no—
120C2×C4×D4—24no—
121C2×C4×D4D414yes—
122C2×C4×D4C2314yes—
123C2×#117—216no—
124C2×#117—22no—
125C2×#117—24no—
126C2×#117—24no—
127C2×#117—28no—
128C2×#117C2314yes—
129C22×C4⋊C4—21no—
130C22×C4⋊C4—22no—
131C22×C4⋊C4—21no—
132C22×C4⋊C4—21no—
133C22×C4⋊C4—21no—
134C22×C4⋊C4—21no—
135C22×C4⋊C4—21no—
136C22×C4⋊C4—24no—
137C22×C4⋊C4—24no—
138C22×C4⋊C4—21no—
139C22×C4⋊C4—21no—
140C22×C4⋊C4D411yescharacteristic
141C22×C4⋊C4C2314yes—
142C22×C4⋊C4C2311yescharacteristic
143C22×C4⋊C4C2311yescharacteristic
144C22×C4⋊C4C2311yescharacteristic
145C22×C4⋊C4C2311yescharacteristic
146C22×C4⋊C4C2311yescharacteristic
147C22×C4⋊C4C2311yescharacteristic
148C22×C4⋊C4C2311yescharacteristic
149C22×C22⋊C4—21no—
150C22×C22⋊C4—21no—
151C22×C22⋊C4—21no—
152C22×C22⋊C4—21no—
153C22×C22⋊C4—21no—
154C22×C22⋊C4—21no—
155C22×C22⋊C4—21no—
156C22×C22⋊C4D411yescharacteristic
157C22×C22⋊C4D411yescharacteristic
158C22×C42—21no—
159C22×C42—21no—
160C22×C42—21no—
161C22×C42C2311yescharacteristic
162#499—232no—
163#479—232no—
164C2×#107—24no—
165C2×#107—24no—
166C2×#107—24no—
167C2×#107C2314yes—
168C2×#107C2314yes—
169C2×#107C2314yes—
170C2×#106—24no—
171C2×#106—24no—
172C2×#106—24no—
173C2×#106C2314yes—
174C2×#106C2314yes—
175C2×#106C2314yes—
176C2×C4⋊C8—24no—
177C2×C4⋊C8C2314yes—
178C2×#103—24no—
179C2×#103—24no—
180C2×#103—24no—
181C2×#103—24no—
182C2×#103C2314yes—
183C2×#103C2314yes—
184C2×#103C2314yes—
185C2×#103C2314yes—
186C2×C22⋊C8—24no—
187C2×C22⋊C8—24no—
188C2×C22⋊C8—24no—
189C2×C22⋊C8—24no—
190C2×C22⋊C8C2314yes—
191C2×C22⋊C8C2314yes—
192C2×C22⋊C8C2314yes—
193C2×C22⋊C8C2314yes—
194C2×C4×C8—24no—
195C2×C4×C8C2314yes—
196#400—28no—
197#394—28no—
198#388—28no—
199#388—28no—
200#380—22no—
201#380—22no—
202#380—22no—
203#380—22no—
204#380C2314yes—
205#380C2314yes—
206#380C2314yes—
207#380C2314yes—
208C4×C4⋊C4—22no—
209C4×C4⋊C4C2314yes—
210C2×#95—21no—
211C2×#95—21no—
212C2×#95—21no—
213C2×#95—21no—
214C2×#95—21no—
215#340C2314yes—
216#340C2314yes—
217#340C2314yes—
218#340C2314yes—
219#340C2314yes—
220#340C2314yes—
221C25C2×D411yescharacteristic
222C25C2×D411yescharacteristic
223C22×Q8—22no—
224C22×Q8—21no—
225C22×Q8—22no—
226C22×Q8—22no—
227C22×Q8—22no—
228C22×Q8—22no—
229C22×Q8C2×D414yes—
230C22×Q8C2412yes—
231C22×D4—24no—
232C22×D4—24no—
233C22×D4—42no—
234C22×D4C2×D414yes—
235C23×C4—28no—
236C23×C4—24no—
237C23×C4—21no—
238C23×C4—21no—
239C23×C4—21no—
240C23×C4—21no—
241C23×C4—22no—
242C23×C4—22no—
243C23×C4—22no—
244C23×C4—22no—
245C23×C4—22no—
246C23×C4—22no—
247C23×C4—22no—
248C23×C4—22no—
249C23×C4—22no—
250C23×C4—22no—
251C23×C4—22no—
252C23×C4—22no—
253C23×C4—21no—
254C23×C4—21no—
255C23×C4—21no—
256C23×C4—21no—
257C23×C4—44no—
258C23×C4—44no—
259C23×C4C2×D412yes—
260C23×C4C2×D412yes—
261C23×C4C2×D411yescharacteristic
262C23×C4C2×D411yescharacteristic
263C23×C4C2×D411yescharacteristic
264C23×C4C2×D411yescharacteristic
265C23×C4C2412yes—
266C23×C4C2412yes—
267C23×C4C2411yescharacteristic
268C22×C8—22no—
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#4114yes—
279C22×C8#4114yes—
280C22×C8C2412yes—
281C22×C8C2412yes—
282C22×C8C2412yes—
283C22×C8C2412yes—
284#126—264no—
285#125—264no—
286#125—216no—
287#125—28no—
288#125—28no—
289#125—28no—
290#125—48no—
291#125C2×D4116yes—
292#123—264no—
293C22⋊Q8—216no—
294C22⋊Q8—216no—
295C22⋊Q8—28no—
296C22⋊Q8—28no—
297C22⋊Q8—28no—
298C22⋊Q8—28no—
299C4×Q8—216no—
300C4×Q8—28no—
301C4×Q8C2×D4116yes—
302C4×D4—216no—
303C4×D4—28no—
304C4×D4—28no—
305#117—216no—
306#117—264no—
307#117—28no—
308#117—28no—
309C2×C4⋊C4—28no—
310C2×C4⋊C4—216no—
311C2×C4⋊C4—28no—
312C2×C4⋊C4—28no—
313C2×C4⋊C4—28no—
314C2×C4⋊C4—28no—
315C2×C4⋊C4—28no—
316C2×C4⋊C4—24no—
317C2×C4⋊C4—21no—
318C2×C4⋊C4—22no—
319C2×C4⋊C4—21no—
320C2×C4⋊C4—22no—
321C2×C4⋊C4—24no—
322C2×C4⋊C4—24no—
323C2×C4⋊C4—24no—
324C2×C4⋊C4—24no—
325C2×C4⋊C4—24no—
326C2×C4⋊C4—24no—
327C2×C4⋊C4—21no—
328C2×C4⋊C4—22no—
329C2×C4⋊C4—28no—
330C2×C4⋊C4—28no—
331C2×C4⋊C4—22no—
332C2×C4⋊C4—22no—
333C2×C4⋊C4—22no—
334C2×C4⋊C4—22no—
335C2×C4⋊C4—22no—
336C2×C4⋊C4—22no—
337C2×C4⋊C4—22no—
338C2×C4⋊C4—22no—
339C2×C4⋊C4—24no—
340C2×C4⋊C4—24no—
341C2×C4⋊C4—21no—
342C2×C4⋊C4—21no—
343C2×C4⋊C4—21no—
344C2×C4⋊C4—21no—
345C2×C4⋊C4—44no—
346C2×C4⋊C4—44no—
347C2×C4⋊C4C2×D414yes—
348C2×C4⋊C4C2×D414yes—
349C2×C4⋊C4C2×D414yes—
350C2×C4⋊C4C2×D414yes—
351C2×C4⋊C4C2412yes—
352C2×C4⋊C4C2412yes—
353C2×C4⋊C4C2412yes—
354C2×C4⋊C4C2412yes—
355C2×C4⋊C4C2412yes—
356C2×C4⋊C4C2412yes—
357C2×C4⋊C4C2412yes—
358C2×C22⋊C4—28no—
359C2×C22⋊C4—28no—
360C2×C22⋊C4—28no—
361C2×C22⋊C4—24no—
362C2×C22⋊C4—24no—
363C2×C22⋊C4—24no—
364C2×C22⋊C4—24no—
365C2×C22⋊C4—24no—
366C2×C22⋊C4—24no—
367C2×C22⋊C4—24no—
368C2×C22⋊C4—24no—
369C2×C22⋊C4—24no—
370C2×C22⋊C4—44no—
371C2×C22⋊C4—44no—
372C2×C22⋊C4—82no—
373C2×C22⋊C4—82no—
374C2×C22⋊C4C2×D414yes—
375C2×C22⋊C4C2×D414yes—
376C2×C42—28no—
377C2×C42—28no—
378C2×C42—24no—
379C2×C42—24no—
380C2×C42—24no—
381C2×C42—82no—
382C2×C42C2×D412yes—
383C2×C42C2×D414yes—
384C2×C42C2×D414yes—
385C2×C42C2412yes—
386#107—28no—
387#107—28no—
388#107—28no—
389#106—28no—
390#106—28no—
391#106—28no—
392C4⋊C8—28no—
393#103—28no—
394#103—28no—
395#103—28no—
396#103—28no—
397C22⋊C8—28no—
398C22⋊C8—28no—
399C22⋊C8—28no—
400C22⋊C8—28no—
401C4×C8—28no—
402#95—24no—
403#95—24no—
404#95—24no—
405#95—24no—
406#95—24no—
407C24—22no—
408C24—22no—
409C24—22no—
410C24—22no—
411C24—22no—
412C24—22no—
413C24—22no—
414C24—22no—
415C24—22no—
416C24—22no—
417C24—22no—
418C24—22no—
419C24—22no—
420C24#13514yes—
421C24C22×D412yes—
422C24C22×D412yes—
423C24C22×D411yescharacteristic
424C2×Q8—24no—
425C2×Q8—22no—
426C2×Q8—28no—
427C2×Q8—28no—
428C2×Q8—22no—
429C2×Q8—22no—
430C2×Q8—22no—
431C2×Q8—22no—
432C2×Q8—42no—
433C2×Q8—42no—
434C2×Q8—44no—
435C2×Q8—44no—
436C2×Q8C22×D414yes—
437C2×D4—28no—
438C2×D4—28no—
439C2×D4—44no—
440C2×D4—416no—
441C22×C4—22no—
442C22×C4—22no—
443C22×C4—22no—
444C22×C4—22no—
445C22×C4—216no—
446C22×C4—22no—
447C22×C4—24no—
448C22×C4—24no—
449C22×C4—24no—
450C22×C4—22no—
451C22×C4—24no—
452C22×C4—22no—
453C22×C4—22no—
454C22×C4—22no—
455C22×C4—22no—
456C22×C4—22no—
457C22×C4—22no—
458C22×C4—22no—
459C22×C4—22no—
460C22×C4—24no—
461C22×C4—24no—
462C22×C4—24no—
463C22×C4—24no—
464C22×C4—24no—
465C22×C4—24no—
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—22no—
475C22×C4—22no—
476C22×C4—22no—
477C22×C4—22no—
478C22×C4—22no—
479C22×C4—22no—
480C22×C4—22no—
481C22×C4—22no—
482C22×C4—432no—
483C22×C4—48no—
484C22×C4—42no—
485C22×C4—42no—
486C22×C4—48no—
487C22×C4—42no—
488C22×C4—42no—
489C22×C4—42no—
490C22×C4—42no—
491C22×C4—42no—
492C22×C4—42no—
493C22×C4—44no—
494C22×C4—44no—
495C22×C4—44no—
496C22×C4—44no—
497C22×C4—44no—
498C22×C4—44no—
499C22×C4—44no—
500C22×C4—44no—
501C22×C4—42no—
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#12014yes—
514C22×C4#12014yes—
515C22×C4C22×D412yes—
516C22×C4C22×D412yes—
517C22×C4C22×D412yes—
518C22×C4C22×D412yes—
519C22×C4C22×D411yescharacteristic
520C22×C4C22×D412yes—
521C22×C4C22×D412yes—
522C22×C4C2×#4112yes—
523C22×C4C2×#4112yes—
524C22×C42−1+412yes—
525C22×C42−1+412yes—
526C22×C4C2511yescharacteristic
527C2×C8—28no—
528C2×C8—28no—
529C2×C8—22no—
530C2×C8—22no—
531C2×C8—22no—
532C2×C8—22no—
533C2×C8—22no—
534C2×C8—22no—
535C2×C8—22no—
536C2×C8—22no—
537C2×C8—22no—
538C2×C8—22no—
539C2×C8—44no—
540C2×C8—44no—
541C2×C8C2×#4114yes—
542C2×C8C2×#4114yes—
543C4⋊C4—216no—
544C4⋊C4—216no—
545C4⋊C4—216no—
546C4⋊C4—24no—
547C4⋊C4—24no—
548C4⋊C4—216no—
549C4⋊C4—216no—
550C4⋊C4—216no—
551C4⋊C4—24no—
552C4⋊C4—28no—
553C4⋊C4—22no—
554C4⋊C4—22no—
555C4⋊C4—22no—
556C4⋊C4—22no—
557C4⋊C4—22no—
558C4⋊C4—22no—
559C4⋊C4—22no—
560C4⋊C4—22no—
561C4⋊C4—22no—
562C4⋊C4—22no—
563C4⋊C4—22no—
564C4⋊C4—42no—
565C4⋊C4—42no—
566C4⋊C4—48no—
567C4⋊C4—48no—
568C4⋊C4—42no—
569C4⋊C4—42no—
570C4⋊C4C22×D414yes—
571C4⋊C4C22×D414yes—
572C4⋊C4C22×D414yes—
573C22⋊C4—216no—
574C22⋊C4—216no—
575C22⋊C4—216no—
576C22⋊C4—28no—
577C22⋊C4—28no—
578C22⋊C4—48no—
579C22⋊C4—48no—
580C22⋊C4—84no—
581C22⋊C4—84no—
582C42—216no—
583C42—216no—
584C42—84no—
585C42#12018yes—
586C42C22×D414yes—
587C42C22×D414yes—
588C23—28no—
589C23—28no—
590C23—22no—
591C23—22no—
592C23—22no—
593C23—28no—
594C23—22no—
595C23—22no—
596C23—22no—
597C23—22no—
598C23—22no—
599C23—22no—
600C23—22no—
601C23—22no—
602C23—22no—
603C23—22no—
604C23—44no—
605C23—44no—
606C23—44no—
607C23—44no—
608C23—44no—
609C23—44no—
610C23—44no—
611C23—44no—
612C23—44no—
613C23—44no—
614C23—44no—
615C23C2×#12012yes—
616C23#54712yes—
617C23#54712yes—
618C23C2×#13514yes—
619C23C2×#13512yes—
620C23#57512yes—
621C23#57712yes—
622C23#57812yes—
623C23C23×D411yescharacteristic
624Q8—24no—
625Q8—24no—
626Q8—48no—
627Q8—42no—
628Q8—42no—
629D4—416no—
630C2×C4—28no—
631C2×C4—28no—
632C2×C4—22no—
633C2×C4—22no—
634C2×C4—22no—
635C2×C4—22no—
636C2×C4—22no—
637C2×C4—24no—
638C2×C4—24no—
639C2×C4—24no—
640C2×C4—22no—
641C2×C4—24no—
642C2×C4—22no—
643C2×C4—22no—
644C2×C4—22no—
645C2×C4—22no—
646C2×C4—432no—
647C2×C4—44no—
648C2×C4—44no—
649C2×C4—48no—
650C2×C4—42no—
651C2×C4—42no—
652C2×C4—48no—
653C2×C4—48no—
654C2×C4—48no—
655C2×C4—42no—
656C2×C4—42no—
657C2×C4—42no—
658C2×C4—42no—
659C2×C4—42no—
660C2×C4—42no—
661C2×C4—42no—
662C2×C4—42no—
663C2×C4—42no—
664C2×C4—42no—
665C2×C4—48no—
666C2×C4—48no—
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—42no—
682C2×C4—42no—
683C2×C4—84no—
684C2×C4—84no—
685C2×C4—84no—
686C2×C4—84no—
687C2×C4C2×#12014yes—
688C2×C4C2×#12014yes—
689C2×C4C2×#12012yes—
690C2×C4#53214yes—
691C2×C4#53614yes—
692C2×C4#54712yes—
693C2×C4#54712yes—
694C2×C4#54814yes—
695C2×C4#54814yes—
696C2×C4C23×D411yescharacteristic
697C2×C4C23×D411yescharacteristic
698C2×C4C22×#4111yescharacteristic
699C2×C4C22×#4111yescharacteristic
700C2×C4C2×2−1+411yescharacteristic
701C2×C4C2×2−1+411yescharacteristic
702C8—24no—
703C8—24no—
704C8—42no—
705C8—42no—
706C22—24no—
707C22—24no—
708C22—24no—
709C22—42no—
710C22—42no—
711C22—416no—
712C22—42no—
713C22—42no—
714C22—42no—
715C22—42no—
716C22—42no—
717C22—42no—
718C22—42no—
719C22—42no—
720C22—42no—
721C22—88no—
722C22#243214yes—
723C22#300214yes—
724C22#301314yes—
725C22#333614yes—
726C22#333714yes—
727C22#335114yes—
728C22#335214yes—
729C22C22×#12011yescharacteristic
730C22C2×#54711yescharacteristic
731C22C2×#54711yescharacteristic
732C22C22×#13511yescharacteristic
733C22C2×#57511yescharacteristic
734C22C2×#57711yescharacteristic
735C22C2×#57811yescharacteristic
736C4—24no—
737C4—24no—
738C4—42no—
739C4—42no—
740C4—44no—
741C4—44no—
742C4—44no—
743C4—44no—
744C4—82no—
745C4—82no—
746C4—82no—
747C4—82no—
748C4#243214yes—
749C4C2×#53211yescharacteristic
750C4C2×#53611yescharacteristic
751C4C2×#54811yescharacteristic
752C4C2×#54811yescharacteristic
753C2—44no—
754C2—82no—
755C2#2570818yesdirect product factor
756C2C2×#243211yescharacteristic
757C2C2×#300211yescharacteristic
758C2C2×#301311yescharacteristic
759C2C2×#333611yescharacteristic
760C2C2×#333711yescharacteristic
761C2C2×#335111yescharacteristic
762C2C2×#335211yescharacteristic
subgroupG/H
center, socleC24C22×D4
commutator, Frattini, cosocleC22×C4C25
prime radicalC23×D4D4
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C24 ◁ C22×C4×D4 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
2. C22×#499C2semidirect
3. C22×#479C2semidirect
5. #25708C2direct (N × H)
6. C2×#2036C2semidirect
7. C2×#2036C2semidirect
8. C2×#2035C2semidirect
9. C2×#2035C2semidirect
10. C2×#1989C2semidirect
12. C2×#1854C2semidirect
13. C2×#1854C2semidirect
14. C2×#1853C2semidirect
15. C2×#1852C2semidirect
16. C2×C4×#103C2semidirect
34. C2×#499C22semidirect
36. C2×#479C22semidirect
64. #2036C22semidirect
65. #2036C22semidirect
66. #2035C22semidirect
67. #2035C22semidirect
68. #1989C22semidirect
70. #1854C22semidirect
71. #1854C22semidirect
72. #1853C22semidirect
73. #1852C22semidirect
74. C4×#103C22semidirect
755. C2#25708direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#5522
C22×#4992
C22×#4792
C2×#25622
#257082
C2×#20362
C2×#20352
C2×#19892
C2×#19542
C2×#18542
C2×#18532
C2×#18522
C2×C4×#1032