Finite Group Databasebeta

← C2×#10589597 #11902872

Subgroups — C2×#10589597 #11902872

Order 1152.

1992 conjugacy classes of subgroups.

The subgroup lattice has 666 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C9×C22⋊C4C211yesmaximal, characteristic, complemented
2C2×#63515C211yesmaximal, characteristic
3C22×#3676C211yesmaximal, characteristic, complemented
4C2×#63491C211yesmaximal, characteristic, complemented
5C2×C4×#611C211yesmaximal, characteristic, complemented
6C2×#63488C211yesmaximal, characteristic, complemented
7C2×#63486C211yesmaximal, characteristic, complemented
8#10589597C2116yesmaximal, direct product factor
9C2×#63448C211yesmaximal, characteristic, complemented
10C2×#63447C211yesmaximal, characteristic, complemented
11C2×#63445C211yesmaximal, characteristic, complemented
12C2×#611⋊C4C211yesmaximal, characteristic, complemented
13C2×#63441C211yesmaximal, characteristic, complemented
14C2×#63441C211yesmaximal, characteristic, complemented
15C2×#63440C211yesmaximal, characteristic, complemented
16C2×#63439C211yesmaximal, characteristic, complemented
17C2×#5495—31nomaximal
18C25×C9C2211yescharacteristic
19C23×C4×C9C2211yescharacteristic
20C23×C4×C9C2211yescharacteristic
21C22×#611C2211yescharacteristic
22C22×#611C2211yescharacteristic
23C22×#611C2211yescharacteristic
24C23×Dic9C2211yescharacteristic
25C23×Dic9C2211yescharacteristic
26C22×C4×D9C2211yescharacteristic, complemented
27C22×Dic18C2211yescharacteristic, complemented
28C2×C9×C22⋊C4C2211yescharacteristic
29C2×C9×C22⋊C4C2211yescharacteristic
30C2×C9×C22⋊C4C2211yescharacteristic
31C2×C9×C22⋊C4C2211yescharacteristic
32C2×C9×C22⋊C4C2218yescomplemented
33#63515C2218yes—
34C2×#3676C2211yescharacteristic
35C2×#3676C2211yescharacteristic
36C2×#3676C2211yescharacteristic
37C2×#3676C2211yescharacteristic
38C2×#3676C2211yescharacteristic
39C2×#3676C2211yescharacteristic
40C2×#3676C2211yescharacteristic
41C2×#3676C2218yescomplemented
42#63491C2218yescomplemented
43C4×#611C2218yescomplemented
44C2×(C2×D9)⋊C4C2211yescharacteristic, complemented
45C2×(C2×D9)⋊C4C2211yescharacteristic, complemented
46C2×(C2×D9)⋊C4C2211yescharacteristic, complemented
47#63488C2218yescomplemented
48C2×C4⋊Dic9C2211yescharacteristic, complemented
49C2×C4⋊Dic9C2211yescharacteristic, complemented
50C2×C4⋊Dic9C2211yescharacteristic, complemented
51#63486C2218yescomplemented
52C2×Dic9⋊C4C2211yescharacteristic, complemented
53C2×Dic9⋊C4C2211yescharacteristic, complemented
54C2×Dic9⋊C4C2211yescharacteristic, complemented
55C2×Dic9⋊C4C2211yescharacteristic, complemented
56C2×Dic9⋊C4C2211yescharacteristic, complemented
57C2×C4×Dic9C2211yescharacteristic, complemented
58C2×C4×Dic9C2211yescharacteristic, complemented
59C2×C4×Dic9C2211yescharacteristic, complemented
60#63448C2218yescomplemented
61#63447C2218yescomplemented
62#63445C2218yescomplemented
63#611⋊C4C2218yescomplemented
64#63441C2218yescomplemented
65#63441C2218yescomplemented
66#63440C2218yescomplemented
67#63439C2218yescomplemented
68C22×C3×C22⋊C4D311yescharacteristic
69C2×#953—31no—
70C22×#217—31no—
71C2×#929—31no—
72C2×C4×#67—31no—
73C2×#926—31no—
74C2×#924—31no—
75#5495—316no—
76C2×#886—31no—
77C2×#885—31no—
78C2×#883—31no—
79C2×#67⋊C4—31no—
80C2×#879—31no—
81C2×#879—31no—
82C2×#878—31no—
83C2×#877—31no—
84C24×C9—24no—
85C24×C9—24no—
86C24×C9—42no—
87C24×C9C2311yescharacteristic
88C24×C9C2314yes—
89C24×C9C2311yescharacteristic
90C24×C9C2311yescharacteristic
91C23×D9C2311yescharacteristic
92C22×C4×C9—24no—
93C22×C4×C9—42no—
94C22×C4×C9C2314yes—
95C22×C4×C9C2311yescharacteristic
96C22×C4×C9C2311yescharacteristic
97C22×C4×C9C2311yescharacteristic
98C22×C4×C9C2311yescharacteristic
99C22×C4×C9C2314yes—
100C2×#611—24no—
101C2×#611—24no—
102C2×#611—42no—
103C2×#611C2314yes—
104C2×#611C2314yes—
105C2×#611C2314yes—
106C22×Dic9—24no—
107C22×Dic9—42no—
108C22×Dic9C2311yescharacteristic
109C22×Dic9C2311yescharacteristic
110C22×Dic9C2311yescharacteristic
111C22×Dic9C2311yescharacteristic
112C22×Dic9C2311yescharacteristic
113C22×Dic9C2311yescharacteristic
114C22×Dic9C2311yescharacteristic
115C22×Dic9C2314yes—
116C22×Dic9C2314yes—
117C2×C4×D9—42no—
118C2×C4×D9C2314yescomplemented
119C2×Dic18—42no—
120C2×Dic18C2314yescomplemented
121C9×C22⋊C4C2314yes—
122C9×C22⋊C4C2314yes—
123C9×C22⋊C4C2314yes—
124C9×C22⋊C4C2314yes—
125#3676C2314yes—
126#3676C2314yes—
127#3676C2314yes—
128#3676C2314yes—
129#3676C2314yes—
130#3676C2314yes—
131#3676C2314yes—
132(C2×D9)⋊C4C2314yescomplemented
133(C2×D9)⋊C4C2314yescomplemented
134(C2×D9)⋊C4C2314yescomplemented
135C4⋊Dic9C2314yescomplemented
136C4⋊Dic9C2314yescomplemented
137C4⋊Dic9C2314yescomplemented
138Dic9⋊C4C2314yescomplemented
139Dic9⋊C4C2314yescomplemented
140Dic9⋊C4C2314yescomplemented
141Dic9⋊C4C2314yescomplemented
142Dic9⋊C4C2314yescomplemented
143C4×Dic9C2314yescomplemented
144C4×Dic9C2314yescomplemented
145C4×Dic9C2314yescomplemented
146C2×#551—91noSylow
147C25×C3C2×D311yescharacteristic
148C23×C3×C4C2×D311yescharacteristic
149C23×C3×C4C2×D311yescharacteristic
150C22×#67—31no—
151C22×#67—31no—
152C22×#67—31no—
153C23×Dic3—31no—
154C23×Dic3—31no—
155C22×C4×D3—31no—
156C22×Dic6—31no—
157C2×C3×C22⋊C4C2×D311yescharacteristic
158C2×C3×C22⋊C4C2×D311yescharacteristic
159C2×C3×C22⋊C4C2×D311yescharacteristic
160C2×C3×C22⋊C4C2×D311yescharacteristic
161C2×C3×C22⋊C4C2×D318yes—
162#953—38no—
163C2×#217—31no—
164C2×#217—31no—
165C2×#217—31no—
166C2×#217—31no—
167C2×#217—31no—
168C2×#217—31no—
169C2×#217—31no—
170C2×#217—38no—
171#929—38no—
172C4×#67—38no—
173C2×(C2×D3)⋊C4—31no—
174C2×(C2×D3)⋊C4—31no—
175C2×(C2×D3)⋊C4—31no—
176#926—38no—
177C2×C4⋊Dic3—31no—
178C2×C4⋊Dic3—31no—
179C2×C4⋊Dic3—31no—
180#924—38no—
181C2×Dic3⋊C4—31no—
182C2×Dic3⋊C4—31no—
183C2×Dic3⋊C4—31no—
184C2×Dic3⋊C4—31no—
185C2×Dic3⋊C4—31no—
186C2×C4×Dic3—31no—
187C2×C4×Dic3—31no—
188C2×C4×Dic3—31no—
189#886—38no—
190#885—38no—
191#883—38no—
192#67⋊C4—38no—
193#879—38no—
194#879—38no—
195#878—38no—
196#877—38no—
197C23×C9—22no—
198C23×C9—22no—
199C23×C9—22no—
200C23×C9—22no—
201C23×C9—28no—
202C23×C9—22no—
203C23×C9—28no—
204C23×C9—22no—
205C23×C9—22no—
206C23×C9—44no—
207C23×C9—416no—
208C23×C9#4114yes—
209C23×C9#4114yes—
210C23×C9C2412yes—
211C23×C9C2412yes—
212C23×C9C2412yes—
213C23×C9C2411yescharacteristic
214C22×D9—22no—
215C22×D9—22no—
216C22×D9—22no—
217C22×D9C2412yes—
218C2×C4×C9—28no—
219C2×C4×C9—22no—
220C2×C4×C9—22no—
221C2×C4×C9—22no—
222C2×C4×C9—22no—
223C2×C4×C9—44no—
224C2×C4×C9C2412yes—
225C2×C4×C9C2412yes—
226C2×C4×C9C2412yes—
227C2×C4×C9C2412yes—
228#611—28no—
229#611—28no—
230#611—44no—
231C2×Dic9—28no—
232C2×Dic9—22no—
233C2×Dic9—22no—
234C2×Dic9—22no—
235C2×Dic9—22no—
236C2×Dic9—22no—
237C2×Dic9—22no—
238C2×Dic9—22no—
239C2×Dic9—44no—
240C2×Dic9C2412yes—
241C2×Dic9C2412yes—
242C2×Dic9C2412yes—
243C2×Dic9C2412yes—
244C2×Dic9C2412yes—
245C2×Dic9C2412yes—
246C2×Dic9C2412yes—
247C4×D9—44no—
248Dic18—44no—
249#551—916no—
250C2×#126—91no—
251C2×#126—91no—
252C2×#124—91no—
253C2×#123—91no—
254C2×#123—91no—
255C2×#123—91no—
256C2×C22⋊Q8—91no—
257C2×C22⋊Q8—91no—
258C2×#120—91no—
259C2×C4×D4—91no—
260C2×C4×D4—91no—
261C2×#117—91no—
262C2×#117—91no—
263C22×C22⋊C4—91no—
264C22×C22⋊C4D911yescharacteristic, complemented
265C24×C3—24no—
266C24×C3—24no—
267C24×C3—42no—
268C24×C3C22×D311yescharacteristic
269C24×C3C22×D314yes—
270C24×C3C22×D311yescharacteristic
271C24×C3C22×D311yescharacteristic
272C23×D3—31no—
273C22×C3×C4—24no—
274C22×C3×C4—42no—
275C22×C3×C4C22×D311yescharacteristic
276C22×C3×C4C22×D311yescharacteristic
277C22×C3×C4C22×D311yescharacteristic
278C22×C3×C4C22×D311yescharacteristic
279C22×C3×C4C22×D314yes—
280C22×C3×C4C22×D314yes—
281C2×#67—34no—
282C2×#67—34no—
283C2×#67—34no—
284C2×#67—64no—
285C2×#67—64no—
286C2×#67—122no—
287C22×Dic3—34no—
288C22×Dic3—31no—
289C22×Dic3—31no—
290C22×Dic3—31no—
291C22×Dic3—31no—
292C22×Dic3—31no—
293C22×Dic3—31no—
294C22×Dic3—31no—
295C22×Dic3—34no—
296C22×Dic3—64no—
297C22×Dic3—122no—
298C2×C4×D3—34no—
299C2×C4×D3—122no—
300C2×Dic6—34no—
301C2×Dic6—122no—
302C3×C22⋊C4C22×D314yes—
303C3×C22⋊C4C22×D314yes—
304C3×C22⋊C4C22×D314yes—
305C3×C22⋊C4C22×D314yes—
306#217—34no—
307#217—34no—
308#217—34no—
309#217—34no—
310#217—34no—
311#217—34no—
312#217—34no—
313(C2×D3)⋊C4—34no—
314(C2×D3)⋊C4—34no—
315(C2×D3)⋊C4—34no—
316C4⋊Dic3—34no—
317C4⋊Dic3—34no—
318C4⋊Dic3—34no—
319Dic3⋊C4—34no—
320Dic3⋊C4—34no—
321Dic3⋊C4—34no—
322Dic3⋊C4—34no—
323Dic3⋊C4—34no—
324C4×Dic3—34no—
325C4×Dic3—34no—
326C4×Dic3—34no—
327C22×C9—28no—
328C22×C9—28no—
329C22×C9—22no—
330C22×C9—22no—
331C22×C9—22no—
332C22×C9—22no—
333C22×C9—22no—
334C22×C9—22no—
335C22×C9—22no—
336C22×C9—416no—
337C22×C9—44no—
338C22×C9C2×#4114yes—
339C22×C9C2×#4112yes—
340C22×C9C2×#4114yes—
341C22×C9C2×#4112yes—
342C22×C9H(5,𝔽2)12yes—
343C22×C9C2511yescharacteristic
344C2×D9—22no—
345C2×D9—22no—
346C2×D9—22no—
347C2×D9—44no—
348C4×C9—22no—
349C4×C9—22no—
350C4×C9—22no—
351C4×C9—22no—
352Dic9—22no—
353Dic9—22no—
354Dic9—22no—
355Dic9—22no—
356Dic9—22no—
357Dic9—22no—
358Dic9—22no—
359C25C2×D911yescharacteristic
360C22×Q8—91no—
361C22×D4—91no—
362C22×D4—91no—
363C22×D4—91no—
364C23×C4—91no—
365C23×C4—91no—
366C23×C4—91no—
367C23×C4C2×D911yescharacteristic
368C23×C4C2×D911yescharacteristic
369#126—98no—
370#126—98no—
371#124—98no—
372#123—98no—
373#123—98no—
374#123—98no—
375C22⋊Q8—98no—
376C22⋊Q8—98no—
377#120—98no—
378C4×D4—98no—
379C4×D4—98no—
380#117—98no—
381#117—98no—
382C2×C4⋊C4—91no—
383C2×C4⋊C4—91no—
384C2×C4⋊C4—91no—
385C2×C4⋊C4—91no—
386C2×C4⋊C4—91no—
387C2×C4⋊C4—91no—
388C2×C4⋊C4—91no—
389C2×C4⋊C4—91no—
390C2×C22⋊C4—91no—
391C2×C22⋊C4—91no—
392C2×C22⋊C4—91no—
393C2×C22⋊C4—91no—
394C2×C22⋊C4—98no—
395C2×C22⋊C4—91no—
396C2×C22⋊C4—91no—
397C2×C22⋊C4—91no—
398C2×C22⋊C4—91no—
399C2×C22⋊C4—91no—
400C2×C22⋊C4—91no—
401C2×C22⋊C4C2×D911yescharacteristic
402C2×C22⋊C4C2×D911yescharacteristic
403C2×C22⋊C4C2×D911yescharacteristic
404C2×C22⋊C4C2×D911yescharacteristic
405C2×C22⋊C4C2×D918yescomplemented
406C2×C42—91no—
407C2×C42—91no—
408C2×C42—91no—
409C23×C3—22no—
410C23×C3—22no—
411C23×C3—22no—
412C23×C3—22no—
413C23×C3—28no—
414C23×C3—22no—
415C23×C3—28no—
416C23×C3—22no—
417C23×C3—22no—
418C23×C3—44no—
419C23×C3—416no—
420C23×C3#23514yes—
421C23×C3#23714yes—
422C23×C3C23×D312yes—
423C23×C3C23×D312yes—
424C23×C3C23×D312yes—
425C23×C3C23×D311yescharacteristic
426C22×D3—32no—
427C22×D3—62no—
428C22×D3—62no—
429C22×D3—62no—
430C2×C3×C4—28no—
431C2×C3×C4—22no—
432C2×C3×C4—22no—
433C2×C3×C4—22no—
434C2×C3×C4—22no—
435C2×C3×C4—44no—
436C2×C3×C4C23×D312yes—
437C2×C3×C4C23×D312yes—
438C2×C3×C4C23×D312yes—
439C2×C3×C4C23×D312yes—
440#67—68no—
441#67—68no—
442#67—124no—
443C2×Dic3—32no—
444C2×Dic3—32no—
445C2×Dic3—32no—
446C2×Dic3—32no—
447C2×Dic3—32no—
448C2×Dic3—32no—
449C2×Dic3—32no—
450C2×Dic3—68no—
451C2×Dic3—62no—
452C2×Dic3—62no—
453C2×Dic3—62no—
454C2×Dic3—62no—
455C2×Dic3—62no—
456C2×Dic3—62no—
457C2×Dic3—62no—
458C2×Dic3—124no—
459C4×D3—124no—
460Dic6—124no—
461C2×C9—24no—
462C2×C9—24no—
463C2×C9—42no—
464C2×C9#55114yescomplemented
465C2×C9C22×#4111yescharacteristic
466C2×C9C22×#4111yescharacteristic
467C2×C9C2×H(5,𝔽2)11yescharacteristic
468D9—42no—
469C24—24no—
470C24—24no—
471C24—42no—
472C24—91no—
473C24C22×D911yescharacteristic
474C24C22×D914yes—
475C24C22×D911yescharacteristic
476C24C22×D911yescharacteristic
477C2×Q8—94no—
478C2×Q8—362no—
479C2×D4—94no—
480C2×D4—94no—
481C2×D4—94no—
482C2×D4—184no—
483C2×D4—184no—
484C2×D4—362no—
485C22×C4—24no—
486C22×C4—42no—
487C22×C4—94no—
488C22×C4—91no—
489C22×C4—91no—
490C22×C4—91no—
491C22×C4—91no—
492C22×C4—91no—
493C22×C4—91no—
494C22×C4—91no—
495C22×C4—94no—
496C22×C4—94no—
497C22×C4—184no—
498C22×C4—362no—
499C22×C4—362no—
500C22×C4C22×D914yes—
501C22×C4C22×D911yescharacteristic
502C22×C4C22×D911yescharacteristic
503C22×C4C22×D911yescharacteristic
504C22×C4C22×D911yescharacteristic
505C22×C4C22×D914yes—
506C4⋊C4—94no—
507C4⋊C4—94no—
508C4⋊C4—94no—
509C4⋊C4—94no—
510C4⋊C4—94no—
511C4⋊C4—94no—
512C4⋊C4—94no—
513C4⋊C4—94no—
514C22⋊C4—94no—
515C22⋊C4—94no—
516C22⋊C4—94no—
517C22⋊C4—94no—
518C22⋊C4—94no—
519C22⋊C4—94no—
520C22⋊C4—94no—
521C22⋊C4—94no—
522C22⋊C4—94no—
523C22⋊C4—94no—
524C22⋊C4C22×D914yes—
525C22⋊C4C22×D914yes—
526C22⋊C4C22×D914yes—
527C22⋊C4C22×D914yes—
528C42—94no—
529C42—94no—
530C42—94no—
531C22×C3—22no—
532C22×C3—22no—
533C22×C3—22no—
534C22×C3—22no—
535C22×C3—28no—
536C22×C3—28no—
537C22×C3—22no—
538C22×C3—22no—
539C22×C3—22no—
540C22×C3—416no—
541C22×C3—44no—
542C22×C3C2×#23514yes—
543C22×C3C2×#23512yes—
544C22×C3C2×#23714yes—
545C22×C3C2×#23712yes—
546C22×C3#100412yes—
547C22×C3C24×D311yescharacteristic
548C2×D3—62no—
549C2×D3—62no—
550C2×D3—62no—
551C2×D3—124no—
552C3×C4—22no—
553C3×C4—22no—
554C3×C4—22no—
555C3×C4—22no—
556Dic3—62no—
557Dic3—62no—
558Dic3—62no—
559Dic3—62no—
560Dic3—62no—
561Dic3—62no—
562Dic3—62no—
563C9C2×#55111yescharacteristic, complemented, Sylow
564C23—22no—
565C23—22no—
566C23—22no—
567C23—22no—
568C23—28no—
569C23—22no—
570C23—28no—
571C23—22no—
572C23—22no—
573C23—44no—
574C23—416no—
575C23—92no—
576C23—182no—
577C23—182no—
578C23—182no—
579C23#369714yes—
580C23#369914yes—
581C23C23×D912yes—
582C23C23×D912yes—
583C23C23×D912yes—
584C23C23×D911yescharacteristic
585Q8—364no—
586D4—188no—
587D4—188no—
588D4—364no—
589C2×C4—28no—
590C2×C4—22no—
591C2×C4—22no—
592C2×C4—22no—
593C2×C4—22no—
594C2×C4—44no—
595C2×C4—92no—
596C2×C4—92no—
597C2×C4—92no—
598C2×C4—92no—
599C2×C4—92no—
600C2×C4—92no—
601C2×C4—92no—
602C2×C4—188no—
603C2×C4—182no—
604C2×C4—182no—
605C2×C4—182no—
606C2×C4—182no—
607C2×C4—182no—
608C2×C4—182no—
609C2×C4—182no—
610C2×C4—364no—
611C2×C4—364no—
612C2×C4C23×D912yes—
613C2×C4C23×D912yes—
614C2×C4C23×D912yes—
615C2×C4C23×D912yes—
616C2×C3—24no—
617C2×C3—24no—
618C2×C3—42no—
619C2×C3#549514yes—
620C2×C3C22×#23511yescharacteristic
621C2×C3C22×#23711yescharacteristic
622C2×C3C2×#100411yescharacteristic
623D3—122no—
624C22—22no—
625C22—22no—
626C22—22no—
627C22—22no—
628C22—28no—
629C22—28no—
630C22—22no—
631C22—22no—
632C22—22no—
633C22—416no—
634C22—44no—
635C22—182no—
636C22—182no—
637C22—182no—
638C22—364no—
639C22C2×#369714yes—
640C22C2×#369712yes—
641C22C2×#369914yes—
642C22C2×#369912yes—
643C22#6371012yes—
644C22C24×D911yescharacteristic
645C4—22no—
646C4—22no—
647C4—22no—
648C4—22no—
649C4—182no—
650C4—182no—
651C4—182no—
652C4—182no—
653C4—182no—
654C4—182no—
655C4—182no—
656C3C2×#549511yescharacteristic
657C2—24no—
658C2—24no—
659C2—42no—
660C2—362no—
661C2#1058959714yesdirect product factor
662C2C22×#369711yescharacteristic
663C2C22×#369911yescharacteristic
664C2C2×#6371011yescharacteristic
subgroupG/H
centerC23C23×D9
commutator, cosocleC22×C9C25
FrattiniC22×C3C24×D3
FittingC22×C9×C22⋊C4C2
socleC23×C3C23×D3
prime radicalC2×#63515C2
hypercenterC22×C22⋊C4D9
hypocenterC9C2×#551
LCSG ▷ C22×C9 ▷ C9
UCSC1 ◁ C23 ◁ C22×C22⋊C4

Complements

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

NH ≅ G/Ntype
1. C22×C9×C22⋊C4C2semidirect
3. C22×#3676C2semidirect
4. C2×#63491C2semidirect
5. C2×C4×#611C2semidirect
6. C2×#63488C2semidirect
7. C2×#63486C2semidirect
8. #10589597C2direct (N × H)
9. C2×#63448C2semidirect
10. C2×#63447C2semidirect
11. C2×#63445C2semidirect
12. C2×#611⋊C4C2semidirect
13. C2×#63441C2semidirect
14. C2×#63441C2semidirect
15. C2×#63440C2semidirect
16. C2×#63439C2semidirect
26. C22×C4×D9C22semidirect
27. C22×Dic18C22semidirect
32. C2×C9×C22⋊C4C22semidirect
41. C2×#3676C22semidirect
42. #63491C22semidirect
43. C4×#611C22semidirect
44. C2×(C2×D9)⋊C4C22semidirect
45. C2×(C2×D9)⋊C4C22semidirect
46. C2×(C2×D9)⋊C4C22semidirect
47. #63488C22semidirect
48. C2×C4⋊Dic9C22semidirect
49. C2×C4⋊Dic9C22semidirect
50. C2×C4⋊Dic9C22semidirect
51. #63486C22semidirect
52. C2×Dic9⋊C4C22semidirect
53. C2×Dic9⋊C4C22semidirect
54. C2×Dic9⋊C4C22semidirect
55. C2×Dic9⋊C4C22semidirect
56. C2×Dic9⋊C4C22semidirect
57. C2×C4×Dic9C22semidirect
58. C2×C4×Dic9C22semidirect
59. C2×C4×Dic9C22semidirect
60. #63448C22semidirect
61. #63447C22semidirect
62. #63445C22semidirect
63. #611⋊C4C22semidirect
64. #63441C22semidirect
65. #63441C22semidirect
66. #63440C22semidirect
67. #63439C22semidirect
118. C2×C4×D9C23semidirect
120. C2×Dic18C23semidirect
132. (C2×D9)⋊C4C23semidirect
133. (C2×D9)⋊C4C23semidirect
134. (C2×D9)⋊C4C23semidirect
135. C4⋊Dic9C23semidirect
136. C4⋊Dic9C23semidirect
137. C4⋊Dic9C23semidirect
138. Dic9⋊C4C23semidirect
139. Dic9⋊C4C23semidirect
140. Dic9⋊C4C23semidirect
141. Dic9⋊C4C23semidirect
142. Dic9⋊C4C23semidirect
143. C4×Dic9C23semidirect
144. C4×Dic9C23semidirect
145. C4×Dic9C23semidirect
264. C22×C22⋊C4D9semidirect
405. C2×C22⋊C4C2×D9semidirect
464. C2×C9#551semidirect
563. C9C2×#551semidirect
661. C2#10589597direct (N × H)

Maximal subgroups

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

subgroupindex
C22×C9×C22⋊C42
C2×#635152
C22×#36762
C2×#634912
C2×C4×#6112
C2×#634882
C2×#634862
#105895972
C2×#634482
C2×#634472
C2×#634452
C2×#611⋊C42
C2×#634412
C2×#634402
C2×#634392
C2×#54953