Finite Group Databasebeta

← C22×#20844 #72307668

Subgroups — C22×#20844 #72307668

Order 1024.

67877 conjugacy classes of subgroups.

The subgroup lattice has 691 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C25×C4⋊C4C211yesmaximal, characteristic
2C23×#428C212yesmaximal, complemented
3C23×#407C211yesmaximal, characteristic
4C22×#2280C211yesmaximal, characteristic
5C2×#20844C2148yesmaximal, direct product factor
6C22×#1853C214yesmaximal, complemented
7C22×#1852C214yesmaximal, complemented
8C22×#1736C212yesmaximal, complemented
9C26×C4—21no—
10C26×C4C2211yescharacteristic
11C24×M16C2212yes—
12C23×#117C2211yescharacteristic
13C23×#117C2211yescharacteristic
14C24×C4⋊C4—232no—
15C24×C4⋊C4—22no—
16C24×C4⋊C4—21no—
17C24×C4⋊C4—212no—
18C24×C4⋊C4C2214yes—
19C24×C4⋊C4C22124yes—
20C24×C4⋊C4C2212yes—
21C22×#428—232no—
22C22×#428C22148yescomplemented
23C23×#107C2214yescomplemented
24C23×#106C2214yescomplemented
25C22×#407C4132yescomplemented
26C22×#407C22124yes—
27C23×C22⋊C8C2214yes—
28C2×#2280—212no—
29C2×#2280C22124yes—
30C22×#381—21no—
31C22×#380C2212yes—
32C22×#380C2212yes—
33C22×#379—21no—
34C22×C4×C22⋊C4—22no—
35#20844C221256yesdirect product factor
36C2×#1853C22196yescomplemented
37C2×#1852C22196yescomplemented
38C2×#1736C22148yescomplemented
39C22×#340C2218yescomplemented
40C27D411yescharacteristic
41C25×C4—216no—
42C25×C4—216no—
43C25×C4—232no—
44C25×C4—224no—
45C25×C4—24no—
46C25×C4—22no—
47C25×C4—432no—
48C25×C4C2×C4116yes—
49C25×C4D412yes—
50C25×C4D411yescharacteristic
51C25×C4D4112yes—
52C25×C4Q8116yes—
53C25×C4C2312yes—
54C25×C4C23112yes—
55C25×C4C2311yescharacteristic
56C23×M16—216no—
57C23×M16—216no—
58C23×M16C2×C4132yescomplemented
59C23×M16C23124yes—
60C24×C8C2314yes—
61C22×#117—26no—
62C22×#117—26no—
63C22×#117—216no—
64C22×#117—216no—
65C22×#117C23112yes—
66C22×#117C23112yes—
67C23×C4⋊C4—232no—
68C23×C4⋊C4—2384no—
69C23×C4⋊C4—264no—
70C23×C4⋊C4—248no—
71C23×C4⋊C4—224no—
72C23×C4⋊C4—224no—
73C23×C4⋊C4—296no—
74C23×C4⋊C4—24no—
75C23×C4⋊C4—212no—
76C23×C4⋊C4—22no—
77C23×C4⋊C4—216no—
78C23×C4⋊C4—264no—
79C23×C4⋊C4—2384no—
80C23×C4⋊C4D4132yes—
81C23×C4⋊C4C23148yes—
82C23×C4⋊C4C23164yes—
83C23×C4⋊C4C2312yes—
84C23×C4⋊C4C2311yescharacteristic
85C23×C4⋊C4C2311yescharacteristic
86C23×C4⋊C4C2314yes—
87C23×C4⋊C4C23124yes—
88C23×C22⋊C4—21no—
89C23×C22⋊C4—21no—
90C23×C22⋊C4—22no—
91C23×C22⋊C4—22no—
92C23×C42—21no—
93C23×C42—21no—
94C2×#428—2384no—
95C2×#428C231128yescomplemented
96C22×#107—232no—
97C22×#107C23148yescomplemented
98C22×#106—232no—
99C22×#106C23148yescomplemented
100C2×#407C2×C41384yescomplemented
101C2×#407C23164yes—
102C22×C22⋊C8C2×C4164yescomplemented
103C22×C22⋊C8C23148yes—
104#2280—296no—
105#2280C23164yes—
106C2×#381—224no—
107C2×#380—212no—
108C2×#380—212no—
109C2×#380C23124yes—
110C2×#380C23124yes—
111C2×#379—224no—
112C2×C4×C22⋊C4—248no—
113C22×#95—22no—
114C22×#95—22no—
115#1853C231256yescomplemented
116#1852C231256yescomplemented
117#1736C231128yescomplemented
118C2×#340C23196yescomplemented
119C26—28no—
120C26—28no—
121C26—216no—
122C26—216no—
123C26C4⋊C4116yes—
124C26C2×D4112yes—
125C26C2×D411yescharacteristic
126C26C2×D412yes—
127C24×C4—28no—
128C24×C4—28no—
129C24×C4—2256no—
130C24×C4—296no—
131C24×C4—216no—
132C24×C4—2256no—
133C24×C4—296no—
134C24×C4—216no—
135C24×C4—216no—
136C24×C4—296no—
137C24×C4—216no—
138C24×C4—296no—
139C24×C4—2384no—
140C24×C4—264no—
141C24×C4—232no—
142C24×C4—264no—
143C24×C4—248no—
144C24×C4—224no—
145C24×C4—24no—
146C24×C4—21no—
147C24×C4—21no—
148C24×C4—22no—
149C24×C4—4512no—
150C24×C4—4384no—
151C24×C4—432no—
152C24×C4—432no—
153C24×C4—432no—
154C24×C4C4⋊C4116yes—
155C24×C4C4⋊C41192yes—
156C24×C4C4⋊C4132yes—
157C24×C4C22×C4116yes—
158C24×C4C22×C4196yes—
159C24×C4C22×C418yes—
160C24×C4C2×D4124yes—
161C24×C4C2×D4112yes—
162C24×C4C2×D4112yes—
163C24×C4C2×D4148yes—
164C24×C4C2×D412yes—
165C24×C4C2×D416yes—
166C24×C4C2×D411yescharacteristic
167C24×C4C2×D4116yes—
168C24×C4C2×Q8196yes—
169C24×C4C2×Q8116yes—
170C24×C4C2×Q818yes—
171C24×C4#41116yes—
172C24×C4C24112yes—
173C24×C4C24116yes—
174C24×C4C2416yes—
175C24×C4C2411yescharacteristic
176C22×M16—2256no—
177C22×M16—296no—
178C22×M16—296no—
179C22×M16C22×C41192yescomplemented
180C22×M16C24132yes—
181C23×C8—216no—
182C23×C8—216no—
183C23×C8C22×C4132yescomplemented
184C23×C8C24124yes—
185C2×#117—224no—
186C2×#117—224no—
187C2×#117—296no—
188C2×#117—296no—
189C2×#117—448no—
190C2×#117—448no—
191C2×#117C24116yes—
192C2×#117C24116yes—
193C22×C4⋊C4—2384no—
194C22×C4⋊C4—264no—
195C22×C4⋊C4—2768no—
196C22×C4⋊C4—2384no—
197C22×C4⋊C4—21536no—
198C22×C4⋊C4—2192no—
199C22×C4⋊C4—232no—
200C22×C4⋊C4—248no—
201C22×C4⋊C4—2128no—
202C22×C4⋊C4—296no—
203C22×C4⋊C4—264no—
204C22×C4⋊C4—212no—
205C22×C4⋊C4—248no—
206C22×C4⋊C4—224no—
207C22×C4⋊C4—216no—
208C22×C4⋊C4—296no—
209C22×C4⋊C4—2384no—
210C22×C4⋊C4—2512no—
211C22×C4⋊C4—28no—
212C22×C4⋊C4—28no—
213C22×C4⋊C4—216no—
214C22×C4⋊C4—23no—
215C22×C4⋊C4—23no—
216C22×C4⋊C4—26no—
217C22×C4⋊C4C2×D4132yes—
218C22×C4⋊C4C2×D41192yes—
219C22×C4⋊C4C24164yes—
220C22×C4⋊C4C2416yes—
221C22×C4⋊C4C2416yes—
222C22×C4⋊C4C24112yes—
223C22×C4⋊C4C24124yes—
224C22×C4⋊C4C24132yes—
225C22×C22⋊C4—212no—
226C22×C22⋊C4—212no—
227C22×C22⋊C4—224no—
228C22×C22⋊C4—224no—
229C22×C22⋊C4—48no—
230C22×C22⋊C4—48no—
231C22×C22⋊C4—416no—
232C22×C22⋊C4—416no—
233C22×C42—212no—
234C22×C42—212no—
235C22×C42—48no—
236C22×C42—48no—
237#428—2512no—
238C2×#107—2192no—
239C2×#107C24164yescomplemented
240C2×#106—2192no—
241C2×#106C24164yescomplemented
242#407C22×C41512yescomplemented
243C2×C22⋊C8C22×C41384yescomplemented
244C2×C22⋊C8C24164yes—
245#381—264no—
246#380—248no—
247#380—248no—
248#380C24132yes—
249#380C24132yes—
250#379—264no—
251C4×C22⋊C4—2128no—
252C2×#95—224no—
253C2×#95—224no—
254#340C241128yescomplemented
255C25—2128no—
256C25—2256no—
257C25—2128no—
258C25—248no—
259C25—28no—
260C25—248no—
261C25—28no—
262C25—296no—
263C25—28no—
264C25—28no—
265C25—296no—
266C25—28no—
267C25—28no—
268C25—2128no—
269C25—2256no—
270C25C2×C4⋊C4196yes—
271C25C2×C4⋊C418yes—
272C25C2×C4⋊C4116yes—
273C25#12018yes—
274C25#12318yes—
275C25AGL(1,ℤ/8)116yes—
276C25#137116yes—
277C25C22×D4116yes—
278C25C22×D416yes—
279C25C22×D4112yes—
280C25C22×D411yescharacteristic
281C23×C4—248no—
282C23×C4—28no—
283C23×C4—248no—
284C23×C4—28no—
285C23×C4—2128no—
286C23×C4—2128no—
287C23×C4—2768no—
288C23×C4—296no—
289C23×C4—248no—
290C23×C4—2192no—
291C23×C4—2768no—
292C23×C4—2128no—
293C23×C4—296no—
294C23×C4—248no—
295C23×C4—2192no—
296C23×C4—248no—
297C23×C4—264no—
298C23×C4—248no—
299C23×C4—264no—
300C23×C4—21536no—
301C23×C4—2256no—
302C23×C4—2512no—
303C23×C4—2384no—
304C23×C4—2192no—
305C23×C4—232no—
306C23×C4—264no—
307C23×C4—232no—
308C23×C4—224no—
309C23×C4—26no—
310C23×C4—26no—
311C23×C4—212no—
312C23×C4—43072no—
313C23×C4—4256no—
314C23×C4—4512no—
315C23×C4—4512no—
316C23×C4—4192no—
317C23×C4—4192no—
318C23×C4—4192no—
319C23×C4—432no—
320C23×C4—44no—
321C23×C4—44no—
322C23×C4—48no—
323C23×C4—48no—
324C23×C4—48no—
325C23×C4—48no—
326C23×C4—48no—
327C23×C4C2×C4⋊C4196yes—
328C23×C4C2×C4⋊C4116yes—
329C23×C4C2×C4⋊C41384yes—
330C23×C4C2×C4⋊C4196yes—
331C23×C4C2×C4⋊C41192yes—
332C23×C4C2×C4⋊C4148yes—
333C23×C4C2×C4⋊C418yes—
334C23×C4C4×D41128yes—
335C23×C4#120148yes—
336C23×C4#12018yes—
337C23×C4C22⋊Q81128yes—
338C23×C4#123148yes—
339C23×C4#12318yes—
340C23×C4C23×C4148yes—
341C23×C4C23×C4164yes—
342C23×C4C23×C414yes—
343C23×C4C23×C4124yes—
344C23×C4C22×D4112yes—
345C23×C4C22×D4132yes—
346C23×C4C22×D4124yes—
347C23×C4C22×D4116yes—
348C23×C4C22×D413yes—
349C23×C4C22×D4112yes—
350C23×C4C22×D416yes—
351C23×C4C22×D418yes—
352C23×C4C22×D4148yes—
353C23×C4C22×Q8164yes—
354C23×C4C22×Q8148yes—
355C23×C4C22×Q8124yes—
356C23×C4C22×Q814yes—
357C23×C4C2×#4118yes—
358C23×C4C2×#41148yes—
359C23×C4C2518yes—
360C23×C4C2513yes—
361C23×C4C2514yes—
362C2×M16—2768no—
363C2×M16—264no—
364C2×M16—264no—
365C2×M16C23×C41128yescomplemented
366C22×C8—2128no—
367C22×C8—248no—
368C22×C8—248no—
369C22×C8C23×C4196yescomplemented
370C22×C8C25116yes—
371#117—264no—
372#117—264no—
373#117—496no—
374#117—496no—
375C2×C4⋊C4—2512no—
376C2×C4⋊C4—2384no—
377C2×C4⋊C4—21024no—
378C2×C4⋊C4—2768no—
379C2×C4⋊C4—2192no—
380C2×C4⋊C4—296no—
381C2×C4⋊C4—2384no—
382C2×C4⋊C4—264no—
383C2×C4⋊C4—248no—
384C2×C4⋊C4—264no—
385C2×C4⋊C4—232no—
386C2×C4⋊C4—224no—
387C2×C4⋊C4—2256no—
388C2×C4⋊C4—224no—
389C2×C4⋊C4—224no—
390C2×C4⋊C4—248no—
391C2×C4⋊C4—26no—
392C2×C4⋊C4—26no—
393C2×C4⋊C4—212no—
394C2×C4⋊C4—412no—
395C2×C4⋊C4—412no—
396C2×C4⋊C4—424no—
397C2×C4⋊C4C22×D4196yes—
398C2×C4⋊C4C22×D41128yes—
399C2×C4⋊C4C2518yes—
400C2×C4⋊C4C2514yes—
401C2×C4⋊C4C2514yes—
402C2×C4⋊C4C25116yes—
403C2×C22⋊C4—216no—
404C2×C22⋊C4—216no—
405C2×C22⋊C4—232no—
406C2×C22⋊C4—232no—
407C2×C22⋊C4—448no—
408C2×C22⋊C4—448no—
409C2×C22⋊C4—496no—
410C2×C22⋊C4—496no—
411C2×C42—216no—
412C2×C42—216no—
413C2×C42—448no—
414C2×C42—448no—
415#107—2128no—
416#106—2128no—
417C22⋊C8C23×C41256yescomplemented
418#95—232no—
419#95—232no—
420C24—2384no—
421C24—2768no—
422C24—22048no—
423C24—2384no—
424C24—264no—
425C24—264no—
426C24—264no—
427C24—264no—
428C24—264no—
429C24—2768no—
430C24—232no—
431C24—224no—
432C24—232no—
433C24—224no—
434C24—232no—
435C24—264no—
436C24—232no—
437C24—264no—
438C24—2384no—
439C24—264no—
440C24—264no—
441C24—224no—
442C24—224no—
443C24—264no—
444C24—224no—
445C24—224no—
446C24#385164yes—
447C24#4281128yescomplemented
448C24C22×C4⋊C4164yes—
449C24C22×C4⋊C4148yes—
450C24C22×C4⋊C4124yes—
451C24C22×C4⋊C414yes—
452C24C2×#120124yes—
453C24C2×#12014yes—
454C24C2×#123124yes—
455C24C2×#12314yes—
456C24C2×AGL(1,ℤ/8)148yes—
457C24C2×AGL(1,ℤ/8)18yes—
458C24C2×#137148yes—
459C24C2×#13718yes—
460C24C23×D414yes—
461C24C23×D418yes—
462C24C23×D413yes—
463C22×C4—232no—
464C22×C4—224no—
465C22×C4—232no—
466C22×C4—224no—
467C22×C4—2384no—
468C22×C4—264no—
469C22×C4—216no—
470C22×C4—216no—
471C22×C4—2192no—
472C22×C4—2256no—
473C22×C4—264no—
474C22×C4—248no—
475C22×C4—2256no—
476C22×C4—2192no—
477C22×C4—264no—
478C22×C4—248no—
479C22×C4—21536no—
480C22×C4—2384no—
481C22×C4—2768no—
482C22×C4—2256no—
483C22×C4—216no—
484C22×C4—2128no—
485C22×C4—296no—
486C22×C4—24no—
487C22×C4—28no—
488C22×C4—24no—
489C22×C4—42048no—
490C22×C4—4128no—
491C22×C4—4128no—
492C22×C4—4768no—
493C22×C4—41536no—
494C22×C4—4128no—
495C22×C4—4128no—
496C22×C4—496no—
497C22×C4—412no—
498C22×C4—412no—
499C22×C4—424no—
500C22×C4—424no—
501C22×C4—424no—
502C22×C4—424no—
503C22×C4—424no—
504C22×C4—832no—
505C22×C4—816no—
506C22×C4—816no—
507C22×C4#3851384yes—
508C22×C4#385164yes—
509C22×C4C22×C4⋊C4164yes—
510C22×C4C22×C4⋊C4148yes—
511C22×C4C22×C4⋊C4196yes—
512C22×C4C22×C4⋊C41128yes—
513C22×C4C22×C4⋊C4148yes—
514C22×C4C22×C4⋊C4112yes—
515C22×C4C22×C4⋊C4124yes—
516C22×C4C2×C4×D4132yes—
517C22×C4C2×C4×D41192yes—
518C22×C4C2×#120124yes—
519C22×C4C2×#120112yes—
520C22×C4C2×#120148yes—
521C22×C4C2×C22⋊Q81192yes—
522C22×C4C2×C22⋊Q8132yes—
523C22×C4C2×#123124yes—
524C22×C4C2×#123112yes—
525C22×C4C2×#123148yes—
526C22×C4C24×C4116yes—
527C22×C4C24×C416yes—
528C22×C4C24×C418yes—
529C22×C4C23×D418yes—
530C22×C4C23×D4112yes—
531C22×C4C23×D4116yes—
532C22×C4C23×D414yes—
533C22×C4C23×D413yes—
534C22×C4C23×Q8116yes—
535C22×C4C23×Q818yes—
536C22×C4C23×Q816yes—
537C22×C4C22×#41112yes—
538C22×C4C22×#41116yes—
539C22×C4C2611yescharacteristic
540M16—2256no—
541C2×C8—216no—
542C2×C8—216no—
543C2×C8—2192no—
544C2×C8C24×C4132yescomplemented
545C4⋊C4—2256no—
546C4⋊C4—216no—
547C4⋊C4—2128no—
548C4⋊C4—296no—
549C4⋊C4—28no—
550C4⋊C4—28no—
551C4⋊C4—216no—
552C4⋊C4—412no—
553C4⋊C4—412no—
554C4⋊C4—424no—
555C4⋊C4C23×D4132yes—
556C22⋊C4—432no—
557C22⋊C4—432no—
558C22⋊C4—464no—
559C22⋊C4—464no—
560C42—432no—
561C42—432no—
562C23—2128no—
563C23—2128no—
564C23—2256no—
565C23—23072no—
566C23—296no—
567C23—296no—
568C23—296no—
569C23—28no—
570C23—28no—
571C23—28no—
572C23—28no—
573C23—2256no—
574C23—2512no—
575C23—28no—
576C23—248no—
577C23—296no—
578C23—28no—
579C23—248no—
580C23—296no—
581C23—296no—
582C23—296no—
583C23—2256no—
584C23—2128no—
585C23—296no—
586C23C2×#385196yes—
587C23C2×#385116yes—
588C23C2×#428132yes—
589C23C2×#4281192yescomplemented
590C23#3003116yes—
591C23#3004116yes—
592C23#3092132yes—
593C23C23×C4⋊C4116yes—
594C23C23×C4⋊C418yes—
595C23C23×C4⋊C416yes—
596C23C22×#12018yes—
597C23C22×#12016yes—
598C23C22×#12318yes—
599C23C22×#12316yes—
600C23C22×AGL(1,ℤ/8)116yes—
601C23C22×AGL(1,ℤ/8)112yes—
602C23C22×#137116yes—
603C23C22×#137112yes—
604C23C24×D411yescharacteristic
605C2×C4—28no—
606C2×C4—28no—
607C2×C4—2128no—
608C2×C4—296no—
609C2×C4—232no—
610C2×C4—232no—
611C2×C4—2192no—
612C2×C4—2256no—
613C2×C4—232no—
614C2×C4—4256no—
615C2×C4—4512no—
616C2×C4—432no—
617C2×C4—4192no—
618C2×C4—48no—
619C2×C4—48no—
620C2×C4—48no—
621C2×C4—48no—
622C2×C4—44no—
623C2×C4—44no—
624C2×C4—48no—
625C2×C4—848no—
626C2×C4—824no—
627C2×C4—824no—
628C2×C4C2×#3851192yes—
629C2×C4C2×#385148yes—
630C2×C4C2×#385196yes—
631C2×C4C23×C4⋊C4116yes—
632C2×C4C23×C4⋊C416yes—
633C2×C4C23×C4⋊C418yes—
634C2×C4C22×C4×D4124yes—
635C2×C4C22×C4×D4132yes—
636C2×C4C22×#12018yes—
637C2×C4C22×#12016yes—
638C2×C4C22×C22⋊Q8132yes—
639C2×C4C22×C22⋊Q8124yes—
640C2×C4C22×#12318yes—
641C2×C4C22×#12316yes—
642C2×C4C25×C411yescharacteristic
643C2×C4C24×D412yes—
644C2×C4C24×Q811yescharacteristic
645C2×C4C23×#4112yes—
646C8—232no—
647C22—2512no—
648C22—216no—
649C22—216no—
650C22—216no—
651C22—28no—
652C22—216no—
653C22—216no—
654C22—216no—
655C22—216no—
656C22—2384no—
657C22—2192no—
658C22—28no—
659C22—216no—
660C22#20844164yesdirect product factor
661C22C22×#385116yes—
662C22C22×#385112yes—
663C22C22×#428124yes—
664C22C22×#428132yescomplemented
665C22C2×#3003112yes—
666C22C2×#3004112yes—
667C22C2×#3092124yes—
668C22C24×C4⋊C411yescharacteristic
669C22C23×#12011yescharacteristic
670C22C23×#12311yescharacteristic
671C22C23×AGL(1,ℤ/8)12yes—
672C22C23×#13712yes—
673C4—216no—
674C4—432no—
675C4—84no—
676C4—88no—
677C4—84no—
678C4C22×#385112yes—
679C4C22×#385116yes—
680C4C23×C4×D412yes—
681C4C23×C22⋊Q812yes—
682C2—232no—
683C2—216no—
684C2C2×#20844124yesdirect product factor
685C2C23×#38511yescharacteristic
686C2C23×#42812yes—
687C2C22×#300311yescharacteristic
688C2C22×#300411yescharacteristic
689C2C22×#309212yes—
subgroupG/H
center, socleC25C22×D4
commutatorC2×C4C25×C4
Frattini, cosocleC22×C4C26
prime radicalC27D4
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C25 ◁ C26×C4 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
2. C23×#428C2semidirect
5. C2×#20844C2direct (N × H)
6. C22×#1853C2semidirect
7. C22×#1852C2semidirect
8. C22×#1736C2semidirect
22. C22×#428C22semidirect
23. C23×#107C22semidirect
24. C23×#106C22semidirect
25. C22×#407C4semidirect
35. #20844C22direct (N × H)
36. C2×#1853C22semidirect
37. C2×#1852C22semidirect
38. C2×#1736C22semidirect
39. C22×#340C22semidirect
58. C23×M16C2×C4semidirect
95. C2×#428C23semidirect
97. C22×#107C23semidirect
99. C22×#106C23semidirect
100. C2×#407C2×C4semidirect
102. C22×C22⋊C8C2×C4semidirect
115. #1853C23semidirect
116. #1852C23semidirect
117. #1736C23semidirect
118. C2×#340C23semidirect
179. C22×M16C22×C4semidirect
183. C23×C8C22×C4semidirect
239. C2×#107C24semidirect
241. C2×#106C24semidirect
242. #407C22×C4semidirect
243. C2×C22⋊C8C22×C4semidirect
254. #340C24semidirect
365. C2×M16C23×C4semidirect
369. C22×C8C23×C4semidirect
417. C22⋊C8C23×C4semidirect
447. C24#428semidirect
544. C2×C8C24×C4semidirect
589. C23C2×#428semidirect
660. C22#20844direct (N × H)
664. C22C22×#428semidirect
684. C2C2×#20844direct (N × H)

Maximal subgroups

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

subgroupindex
C25×C4⋊C42
C23×#4282
C23×#4072
C22×#22802
C2×#208442
C22×#18532
C22×#18522
C22×#17362