Finite Group Databasebeta

← C22×#20788 #72308366

Subgroups — C22×#20788 #72308366

Order 1024.

12857 conjugacy classes of subgroups.

The subgroup lattice has 756 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#2875C211yesmaximal, characteristic
2C2×#20788C2148yesmaximal, direct product factor
3C22×#1841C212yesmaximal, complemented
4C22×#1833C212yesmaximal, complemented
5C22×#1827C212yesmaximal
6C22×#1813C211yesmaximal, characteristic
7C22×#1812C211yesmaximal, characteristic
8C22×#1773C212yesmaximal, complemented
9C22×#1757C212yesmaximal
10C22×#1747C212yesmaximal, complemented
11C23×#131C2211yescharacteristic
12C23×#131C2211yescharacteristic
13C22×C4×#41C2211yescharacteristic
14C23×#108C2212yes—
15C22×#427C2212yes—
16C22×#413C2212yes—
17C22×#410C2212yes—
18C2×#2875C4124yescomplemented
19C2×#2875C22124yes—
20C22×#405C412yescomplemented
21C22×#405C412yescomplemented
22C22×#405C2214yes—
23C22×#405C2211yescharacteristic
24C22×#405C2211yescharacteristic
25C22×C4×M16C412yescomplemented
26C22×C4×M16C2211yescharacteristic
27C23×#97C412yescomplemented
28C23×#97C2211yescharacteristic
29#20788C221256yesdirect product factor
30C2×#1841C22148yescomplemented
31C2×#1833C22148yescomplemented
32C2×#1827C22148yes—
33C2×#1813C22124yes—
34C2×#1812C22124yes—
35C2×#1773C22148yescomplemented
36C2×#1757C22148yes—
37C2×#1747C22148yescomplemented
38C22×#344C2214yes—
39C22×#339C2214yes—
40C22×#338C2212yes—
41C22×H(3,ℤ/4)C2212yes—
42C22×H(3,ℤ/4)C2214yes—
43C23×#41C2311yescharacteristic
44C22×#131—24no—
45C22×#131—212no—
46C22×#131—22no—
47C22×#131—22no—
48C22×#131—212no—
49C22×#131C2×C4112yes—
50C22×#131C2×C4112yes—
51C22×#131C23112yes—
52C22×#131C23112yes—
53C23×M16C2×C412yes—
54C23×M16C2×C412yes—
55C23×M16C2314yes—
56C23×M16C2311yescharacteristic
57C23×M16C2311yescharacteristic
58C24×C8C2×C412yes—
59C24×C8C2×C412yes—
60C24×C8C2311yescharacteristic
61C24×C8C2311yescharacteristic
62C2×C4×#41—26no—
63C2×C4×#41—26no—
64C2×C4×#41C2×C4112yes—
65C2×C4×#41C23112yes—
66C22×C4×Q8—21no—
67C22×C4×D4—21no—
68C22×C4×D4—22no—
69C22×#117C2×C412yes—
70C22×#117C2314yes—
71C22×#117C2311yescharacteristic
72C23×C42C2×C412yes—
73C23×C42C2311yescharacteristic
74C22×#108—22no—
75C22×#108—22no—
76C22×#108—212no—
77C22×#108C23124yes—
78C2×#427—212no—
79C2×#427C23124yes—
80C22×#107—22no—
81C22×#106—22no—
82C2×#413—212no—
83C2×#413C23124yes—
84C22×#101—22no—
85C22×#100—22no—
86C2×#410—212no—
87C2×#410C23124yes—
88C22×#99—24no—
89#2875C2×C41192yescomplemented
90#2875C23164yes—
91C2×#405—224no—
92C2×#405C2×C4112yes—
93C2×#405C2×C4112yes—
94C2×#405C2×C4148yescomplemented
95C2×#405C2×C4148yescomplemented
96C2×#405C23148yes—
97C2×#405C23112yes—
98C2×#405C23112yes—
99C2×C4×M16C2×C4112yes—
100C2×C4×M16C2×C4148yescomplemented
101C2×C4×M16C23112yes—
102C22×#97—24no—
103C22×#97C2×C411yescharacteristic
104C22×#97C2×C412yes—
105C22×#97C2×C412yes—
106C22×#97C2×C412yes—
107C22×#97C2×C411yescharacteristic
108C22×#97C2×C411yescharacteristic
109C22×#97C2×C411yescharacteristic
110C22×#97C2×C4112yes—
111C22×#97C2×C4148yescomplemented
112C22×#97C23112yes—
113C22×C4×C8—24no—
114C22×C4×C8C2×C412yes—
115C22×C4×C8C2×C412yes—
116C22×C4×C8C2×C412yes—
117#1841C231128yescomplemented
118#1833C231128yescomplemented
119#1827C231128yes—
120#1813C23164yes—
121#1812C23164yes—
122#1773C231128yescomplemented
123#1757C231128yes—
124#1747C231128yescomplemented
125C2×#344C23148yes—
126C2×#339C23148yes—
127C2×#338C23124yes—
128C2×H(3,ℤ/4)C23148yes—
129C2×H(3,ℤ/4)C23124yes—
130C22×#41—22no—
131C22×#41—26no—
132C22×#41—26no—
133C22×#41—22no—
134C22×#41C22×C416yes—
135C22×#41#4116yes—
136C22×#41#4116yes—
137C22×#41C2416yes—
138C23×Q8#4111yescharacteristic
139C23×D4#4112yes—
140C23×D4#4111yescharacteristic
141C24×C4—22no—
142C24×C4—21no—
143C24×C4C22×C412yes—
144C24×C4C2411yescharacteristic
145C2×#131—248no—
146C2×#131—248no—
147C2×#131—224no—
148C2×#131—224no—
149C2×#131—248no—
150C2×#131—248no—
151C2×#131—248no—
152C2×#131—224no—
153C2×#131—224no—
154C2×#131—248no—
155C2×#131C22×C4148yes—
156C2×#131C22×C4148yes—
157C2×#131C24116yes—
158C2×#131C24116yes—
159C22×M16—22no—
160C22×M16—26no—
161C22×M16—26no—
162C22×M16—22no—
163C22×M16—212no—
164C22×M16—212no—
165C22×M16—24no—
166C22×M16—212no—
167C22×M16—24no—
168C22×M16—24no—
169C22×M16—212no—
170C22×M16—24no—
171C22×M16—212no—
172C22×M16C22×C416yes—
173C22×M16C22×C416yes—
174C22×M16C22×C4124yes—
175C22×M16C22×C4124yes—
176C22×M16C24124yes—
177C22×M16C2416yes—
178C22×M16C2416yes—
179C23×C8—212no—
180C23×C8—22no—
181C23×C8—22no—
182C23×C8—212no—
183C23×C8—24no—
184C23×C8—24no—
185C23×C8C22×C412yes—
186C23×C8C22×C412yes—
187C23×C8C22×C4124yes—
188C23×C8C22×C4124yes—
189C23×C8C22×C411yescharacteristic
190C23×C8C22×C411yescharacteristic
191C23×C8C22×C411yescharacteristic
192C23×C8C22×C411yescharacteristic
193C23×C8C22×C416yes—
194C23×C8C22×C416yes—
195C23×C8#4114yes—
196C23×C8#41112yes—
197C23×C8#4112yes—
198C23×C8#4112yes—
199C23×C8#41112yes—
200C23×C8C2416yes—
201C23×C8C2416yes—
202C4×#41—248no—
203C4×#41—224no—
204C4×#41—224no—
205C4×#41C22×C4148yes—
206C4×#41C24116yes—
207C2×C4×Q8—212no—
208C2×C4×Q8—212no—
209C2×C4×D4—224no—
210C2×C4×D4—212no—
211C2×C4×D4—224no—
212C2×C4×D4—212no—
213C2×#117—212no—
214C2×#117—23no—
215C2×#117—23no—
216C2×#117—212no—
217C2×#117—212no—
218C2×#117—212no—
219C2×#117C22×C416yes—
220C2×#117C22×C4124yes—
221C2×#117C24124yes—
222C2×#117C2416yes—
223C22×C4⋊C4—22no—
224C22×C4⋊C4—21no—
225C22×C4⋊C4—24no—
226C22×C22⋊C4—22no—
227C22×C22⋊C4—21no—
228C22×C22⋊C4—24no—
229C22×C42—22no—
230C22×C42—212no—
231C22×C42—21no—
232C22×C42—23no—
233C22×C42—23no—
234C22×C42—24no—
235C22×C42C22×C412yes—
236C22×C42C22×C411yescharacteristic
237C22×C42C22×C411yescharacteristic
238C22×C42C22×C416yes—
239C22×C42C22×C4124yes—
240C22×C42C2416yes—
241C2×#108—224no—
242C2×#108—224no—
243C2×#108—248no—
244C2×#108C24132yes—
245#427—248no—
246#427C24132yes—
247C2×#107—224no—
248C2×#106—224no—
249#413—248no—
250#413C24132yes—
251C2×#101—224no—
252C2×#100—224no—
253#410—248no—
254#410C24132yes—
255C2×#99—248no—
256#405—296no—
257#405C22×C4148yes—
258#405C22×C4148yes—
259#405C22×C41128yescomplemented
260#405C22×C41128yescomplemented
261#405C24164yes—
262#405C24116yes—
263#405C24116yes—
264C4×M16C22×C4148yes—
265C4×M16C22×C41128yescomplemented
266C4×M16C24116yes—
267C2×#97—248no—
268C2×#97C22×C4112yes—
269C2×#97C22×C4112yes—
270C2×#97C22×C4112yes—
271C2×#97C22×C4112yes—
272C2×#97C22×C4148yes—
273C2×#97C22×C4124yes—
274C2×#97C22×C4124yes—
275C2×#97C22×C4124yes—
276C2×#97C22×C41128yescomplemented
277C2×#97C24116yes—
278C2×C4×C8—248no—
279C2×C4×C8C22×C4124yes—
280C2×C4×C8C22×C4124yes—
281C2×C4×C8C22×C4124yes—
282#344C24164yes—
283#339C24164yes—
284#338C24132yes—
285H(3,ℤ/4)C24132yes—
286H(3,ℤ/4)C24164yes—
287C25#11712yes—
288C25C2×#4111yescharacteristic
289C2×#41—212no—
290C2×#41—212no—
291C2×#41—212no—
292C2×#41—212no—
293C2×#41—212no—
294C2×#41—212no—
295C2×#41—224no—
296C2×#41—212no—
297C2×#41—212no—
298C2×#41—224no—
299C2×#41—212no—
300C2×#41—212no—
301C2×#41—212no—
302C2×#41—212no—
303C2×#41#117124yes—
304C2×#41C23×C4112yes—
305C2×#41C2×#41112yes—
306C2×#41C2×#41112yes—
307C2×#41C2514yes—
308C22×Q8—22no—
309C22×Q8—26no—
310C22×Q8#11716yes—
311C22×Q8C2×#4116yes—
312C22×D4—24no—
313C22×D4—212no—
314C22×D4—22no—
315C22×D4—26no—
316C22×D4#117112yes—
317C22×D4#11716yes—
318C22×D4C2×#41112yes—
319C22×D4C2×#4116yes—
320C23×C4—26no—
321C23×C4—26no—
322C23×C4—22no—
323C23×C4—22no—
324C23×C4—21no—
325C23×C4—22no—
326C23×C4—21no—
327C23×C4—224no—
328C23×C4—26no—
329C23×C4—26no—
330C23×C4—44no—
331C23×C4—84no—
332C23×C4—88no—
333C23×C4#11712yes—
334C23×C4#117112yes—
335C23×C4C23×C4112yes—
336C23×C4C23×C413yes—
337C23×C4C23×C411yescharacteristic
338C23×C4C2×#4113yes—
339C23×C4C2×#4112yes—
340C23×C4C2×#4116yes—
341C23×C4C2×#4116yes—
342C23×C4C2×#4112yes—
343C23×C4C2×#4111yescharacteristic
344C23×C4C2×#4113yes—
345C23×C4C2513yes—
346#131—2192no—
347#131—296no—
348#131—296no—
349#131—264no—
350#131—232no—
351#131—232no—
352C2×M16—212no—
353C2×M16—212no—
354C2×M16—212no—
355C2×M16—212no—
356C2×M16—212no—
357C2×M16—212no—
358C2×M16—212no—
359C2×M16—212no—
360C2×M16—224no—
361C2×M16—248no—
362C2×M16—248no—
363C2×M16—248no—
364C2×M16—248no—
365C2×M16—224no—
366C2×M16—224no—
367C2×M16—224no—
368C2×M16—224no—
369C2×M16—412no—
370C2×M16—412no—
371C2×M16—424no—
372C2×M16C23×C4132yes—
373C2×M16C23×C4132yes—
374C2×M16C23×C4112yes—
375C2×M16C23×C4112yes—
376C2×M16C25116yes—
377C2×M16C2514yes—
378C2×M16C2514yes—
379C22×C8—22no—
380C22×C8—26no—
381C22×C8—26no—
382C22×C8—22no—
383C22×C8—248no—
384C22×C8—224no—
385C22×C8—224no—
386C22×C8—248no—
387C22×C8—248no—
388C22×C8—224no—
389C22×C8—44no—
390C22×C8—412no—
391C22×C8#11716yes—
392C22×C8#11711yescharacteristic
393C22×C8#11711yescharacteristic
394C22×C8#11716yes—
395C22×C8#11716yes—
396C22×C8#11712yes—
397C22×C8#11716yes—
398C22×C8#117124yes—
399C22×C8#117124yes—
400C22×C8#117112yes—
401C22×C8#117112yes—
402C22×C8#117124yes—
403C22×C8#11712yes—
404C22×C8#11712yes—
405C22×C8C23×C4112yes—
406C22×C8C23×C4112yes—
407C22×C8C23×C4132yes—
408C22×C8C23×C4132yes—
409C22×C8C23×C416yes—
410C22×C8C23×C416yes—
411C22×C8C23×C416yes—
412C22×C8C23×C416yes—
413C22×C8C23×C4112yes—
414C22×C8C23×C4112yes—
415C22×C8C2×#41124yes—
416C22×C8C2×#41124yes—
417C22×C8C2×#41112yes—
418C22×C8C2×#41112yes—
419C22×C8C2×#41124yes—
420C22×C8C2514yes—
421C22×C8C2514yes—
422C4×Q8—248no—
423C4×Q8—216no—
424C4×D4—296no—
425C4×D4—248no—
426C4×D4—216no—
427C4×D4—232no—
428#117—248no—
429#117—212no—
430#117—26no—
431#117—26no—
432#117—224no—
433#117—224no—
434#117—224no—
435#117—424no—
436#117C23×C4132yes—
437#117C23×C4112yes—
438#117C25116yes—
439#117C2514yes—
440C2×C4⋊C4—224no—
441C2×C4⋊C4—26no—
442C2×C4⋊C4—26no—
443C2×C4⋊C4—224no—
444C2×C4⋊C4—412no—
445C2×C22⋊C4—224no—
446C2×C22⋊C4—26no—
447C2×C22⋊C4—26no—
448C2×C22⋊C4—224no—
449C2×C22⋊C4—412no—
450C2×C42—23no—
451C2×C42—26no—
452C2×C42—224no—
453C2×C42—26no—
454C2×C42—248no—
455C2×C42—212no—
456C2×C42—23no—
457C2×C42—26no—
458C2×C42—26no—
459C2×C42—26no—
460C2×C42—224no—
461C2×C42—412no—
462C2×C42C23×C416yes—
463C2×C42C23×C4112yes—
464C2×C42C23×C4112yes—
465C2×C42C23×C4132yes—
466C2×C42C23×C416yes—
467C2×C42C2514yes—
468#108—232no—
469#108—232no—
470#107—232no—
471#106—232no—
472#101—232no—
473#100—232no—
474#99—264no—
475#97—264no—
476#97C23×C4116yes—
477#97C23×C4116yes—
478#97C23×C4116yes—
479#97C23×C4116yes—
480#97C23×C4132yes—
481#97C23×C4132yes—
482#97C23×C4132yes—
483C4×C8—264no—
484C4×C8C23×C4132yes—
485C4×C8C23×C4132yes—
486C4×C8C23×C4132yes—
487C24—26no—
488C24—22no—
489C24—44no—
490C24—48no—
491C24C2×#11711yescharacteristic
492C24C2×#117112yes—
493C24C2×#11713yes—
494C24#52912yes—
495C24#52916yes—
496C24C22×#4113yes—
497#41—28no—
498#41—28no—
499#41—224no—
500#41—224no—
501#41—224no—
502#41—224no—
503#41—224no—
504#41—224no—
505#41—248no—
506#41—248no—
507C2×Q8—212no—
508C2×Q8—212no—
509C2×Q8—212no—
510C2×Q8—212no—
511C2×Q8C2×#117112yes—
512C2×Q8C22×#4114yes—
513C2×D4—224no—
514C2×D4—224no—
515C2×D4—224no—
516C2×D4—224no—
517C2×D4—212no—
518C2×D4—212no—
519C2×D4—212no—
520C2×D4—212no—
521C2×D4C2×#117124yes—
522C2×D4C2×#117112yes—
523C2×D4C22×#4114yes—
524C2×D4C22×#4118yes—
525C22×C4—26no—
526C22×C4—22no—
527C22×C4—212no—
528C22×C4—212no—
529C22×C4—212no—
530C22×C4—212no—
531C22×C4—224no—
532C22×C4—212no—
533C22×C4—212no—
534C22×C4—26no—
535C22×C4—212no—
536C22×C4—26no—
537C22×C4—24no—
538C22×C4—232no—
539C22×C4—212no—
540C22×C4—44no—
541C22×C4—48no—
542C22×C4—44no—
543C22×C4—424no—
544C22×C4—812no—
545C22×C4—812no—
546C22×C4—848no—
547C22×C4—816no—
548C22×C4C2×#117112yes—
549C22×C4C2×#117124yes—
550C22×C4C2×#11711yescharacteristic
551C22×C4C2×#11713yes—
552C22×C4C2×#11713yes—
553C22×C4C2×#11716yes—
554C22×C4C2×#11716yes—
555C22×C4C2×#11716yes—
556C22×C4C2×#11716yes—
557C22×C4C2×#11713yes—
558C22×C4C2×#11713yes—
559C22×C4C2×#11716yes—
560C22×C4C2×#11711yescharacteristic
561C22×C4#52912yes—
562C22×C4#52916yes—
563C22×C4#52916yes—
564C22×C4#52916yes—
565C22×C4#529112yes—
566C22×C4#52916yes—
567C22×C4#52916yes—
568C22×C4#529112yes—
569C22×C4C24×C418yes—
570C22×C4C24×C413yes—
571C22×C4C24×C413yes—
572C22×C4C22×#4116yes—
573C22×C4C22×#4116yes—
574C22×C4C22×#4116yes—
575C22×C4C22×#4116yes—
576C22×C4C22×#4113yes—
577C22×C4C22×#4113yes—
578C22×C4C22×#4113yes—
579C22×C4C2611yescharacteristic
580M16—28no—
581M16—28no—
582M16—224no—
583M16—224no—
584M16—264no—
585M16—264no—
586M16—216no—
587M16—216no—
588M16—424no—
589M16—424no—
590C2×C8—212no—
591C2×C8—212no—
592C2×C8—212no—
593C2×C8—212no—
594C2×C8—264no—
595C2×C8—232no—
596C2×C8—232no—
597C2×C8—216no—
598C2×C8—424no—
599C2×C8—424no—
600C2×C8C2×#117112yes—
601C2×C8C2×#11716yes—
602C2×C8C2×#11716yes—
603C2×C8C2×#117112yes—
604C2×C8C2×#117112yes—
605C2×C8C2×#117112yes—
606C2×C8C2×#117112yes—
607C2×C8C2×#117112yes—
608C2×C8C2×#117112yes—
609C2×C8C2×#117148yes—
610C2×C8C2×#117124yes—
611C2×C8C2×#117124yes—
612C2×C8C24×C418yes—
613C2×C8C24×C418yes—
614C2×C8C24×C414yes—
615C2×C8C24×C414yes—
616C2×C8C24×C414yes—
617C2×C8C24×C414yes—
618C2×C8C22×#41116yes—
619C2×C8C22×#4118yes—
620C2×C8C22×#4118yes—
621C4⋊C4—24no—
622C4⋊C4—232no—
623C4⋊C4—212no—
624C4⋊C4—216no—
625C4⋊C4—424no—
626C22⋊C4—24no—
627C22⋊C4—232no—
628C22⋊C4—212no—
629C22⋊C4—216no—
630C22⋊C4—424no—
631C42—24no—
632C42—26no—
633C42—212no—
634C42—26no—
635C42—232no—
636C42—212no—
637C42—216no—
638C42—424no—
639C42C24×C418yes—
640C42C24×C414yes—
641C42C24×C414yes—
642C23—24no—
643C23—28no—
644C23—212no—
645C23—212no—
646C23—46no—
647C23—46no—
648C23—412no—
649C23—424no—
650C23—424no—
651C23—48no—
652C23#228313yes—
653C23#228316yes—
654C23#228316yes—
655C23#228311yescharacteristic
656C23C22×#11713yes—
657C23C22×#11718yes—
658C23C22×#11713yes—
659C23C2×#52916yes—
660C23C2×#52916yes—
661C23C23×#4111yescharacteristic
662Q8—28no—
663Q8—224no—
664D4—216no—
665D4—248no—
666D4—28no—
667D4—224no—
668C2×C4—212no—
669C2×C4—212no—
670C2×C4—28no—
671C2×C4—28no—
672C2×C4—224no—
673C2×C4—224no—
674C2×C4—24no—
675C2×C4—24no—
676C2×C4—28no—
677C2×C4—424no—
678C2×C4—412no—
679C2×C4—412no—
680C2×C4—416no—
681C2×C4—84no—
682C2×C4—812no—
683C2×C4—832no—
684C2×C4—848no—
685C2×C4#228316yes—
686C2×C4#228313yes—
687C2×C4#228313yes—
688C2×C4#228316yes—
689C2×C4#228316yes—
690C2×C4#2283112yes—
691C2×C4#2283112yes—
692C2×C4C22×#11718yes—
693C2×C4C22×#11713yes—
694C2×C4C22×#11713yes—
695C2×C4C22×#11713yes—
696C2×C4C22×#11713yes—
697C2×C4C22×#11716yes—
698C2×C4C22×#11716yes—
699C2×C4C22×#11713yes—
700C2×C4C22×#11713yes—
701C2×C4C2×#52916yes—
702C2×C4C2×#52916yes—
703C2×C4C2×#52916yes—
704C2×C4C2×#52916yes—
705C2×C4C2×#52916yes—
706C2×C4C2×#52916yes—
707C2×C4C25×C411yescharacteristic
708C2×C4C23×#4112yes—
709C2×C4C23×#4112yes—
710C2×C4C23×#4111yescharacteristic
711C8—28no—
712C8—28no—
713C8—416no—
714C8C22×#11718yes—
715C8C22×#11714yes—
716C8C22×#11714yes—
717C8C22×#11718yes—
718C8C22×#11718yes—
719C22—26no—
720C22—212no—
721C22—26no—
722C22—212no—
723C22—28no—
724C22—41no—
725C22—43no—
726C22—46no—
727C22—46no—
728C22—48no—
729C22—424no—
730C22—424no—
731C22#2078814yesdirect product factor
732C22C2×#228313yes—
733C22C2×#228316yes—
734C22C2×#228313yes—
735C22C23×#11711yescharacteristic
736C22C22×#52912yes—
737C4—28no—
738C4—44no—
739C4—48no—
740C4—44no—
741C4—816no—
742C4C2×#228313yes—
743C4C2×#228313yes—
744C4C2×#228316yes—
745C4C23×#11711yescharacteristic
746C4C23×#11711yescharacteristic
747C4C22×#52912yes—
748C2—21no—
749C2—22no—
750C2—23no—
751C2—26no—
752C2—48no—
753C2C2×#2078816yesdirect product factor
754C2C22×#228311yescharacteristic
subgroupG/H
centerC22×C4C2×#117
commutatorC2×C4C25×C4
Frattini, cosocleC22×C4C26
socleC23#2283
prime radicalC23×#41C23
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C22×C4 ◁ C22×#405 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
2. C2×#20788C2direct (N × H)
3. C22×#1841C2semidirect
4. C22×#1833C2semidirect
8. C22×#1773C2semidirect
10. C22×#1747C2semidirect
18. C2×#2875C4semidirect
20. C22×#405C4semidirect
21. C22×#405C4semidirect
25. C22×C4×M16C4semidirect
27. C23×#97C4semidirect
29. #20788C22direct (N × H)
30. C2×#1841C22semidirect
31. C2×#1833C22semidirect
35. C2×#1773C22semidirect
37. C2×#1747C22semidirect
89. #2875C2×C4semidirect
94. C2×#405C2×C4semidirect
95. C2×#405C2×C4semidirect
100. C2×C4×M16C2×C4semidirect
111. C22×#97C2×C4semidirect
117. #1841C23semidirect
118. #1833C23semidirect
122. #1773C23semidirect
124. #1747C23semidirect
259. #405C22×C4semidirect
260. #405C22×C4semidirect
265. C4×M16C22×C4semidirect
276. C2×#97C22×C4semidirect
731. C22#20788direct (N × H)
753. C2C2×#20788direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#28752
C2×#207882
C22×#18412
C22×#18332
C22×#18272
C22×#18132
C22×#18122
C22×#17732
C22×#17572
C22×#17472