Finite Group Databasebeta

← C2×#10589759 #11901264

Subgroups — C2×#10589759 #11901264

Order 1152.

2004 conjugacy classes of subgroups.

The subgroup lattice has 702 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C9×#123C211yesmaximal, characteristic, complemented
2C2×#63500C211yesmaximal, characteristic, complemented
3C2×#63499C211yesmaximal, characteristic, complemented
4C2×#63492C211yesmaximal, characteristic, complemented
5C2×C4×#611C211yesmaximal, characteristic, complemented
6#10589759C2116yesmaximal, direct product factor
7C2×#63460C211yesmaximal, characteristic, complemented
8C2×#63459C211yesmaximal, characteristic, complemented
9C2×#63456C211yesmaximal, characteristic, complemented
10C2×#63455C211yesmaximal, characteristic, complemented
11C2×#63447C211yesmaximal, characteristic, complemented
12C2×#63447C211yesmaximal, characteristic, complemented
13C2×#63446C211yesmaximal, characteristic, complemented
14C2×#63444C211yesmaximal, characteristic, complemented
15C2×C22⋊C4×D9C211yesmaximal, characteristic, complemented
16C2×#63441C211yesmaximal, characteristic, complemented
17C2×#5657—31nomaximal
18C24×D9C2211yescharacteristic
19C22×D4×C9C2211yescharacteristic
20C23×C4×C9C2211yescharacteristic, complemented
21C22×#611C2211yescharacteristic
22C22×#611C2211yescharacteristic
23C22×#611C2211yescharacteristic
24C22×#611C2211yescharacteristic, complemented
25C22×D36C2211yescharacteristic
26C22×D36C2211yescharacteristic
27C22×C4×D9C2211yescharacteristic
28C22×C4×D9C2211yescharacteristic
29C22×C4×D9C2211yescharacteristic, complemented
30C22×Dic18C2211yescharacteristic, complemented
31C9×#123C2218yescomplemented
32C2×C9×C4⋊C4C2211yescharacteristic, complemented
33C2×C9×C4⋊C4C2211yescharacteristic, complemented
34C2×C9×C22⋊C4C2211yescharacteristic
35C2×C9×C22⋊C4C2211yescharacteristic
36C2×C9×C22⋊C4C2211yescharacteristic, complemented
37C2×#3676C2211yescharacteristic
38C2×#3676C2211yescharacteristic
39C2×#3676C2211yescharacteristic, complemented
40#63500C2218yescomplemented
41#63499C2218yescomplemented
42#63492C2218yescomplemented
43C4×#611C2218yescomplemented
44C2×(C2×D9)⋊C4C2211yescharacteristic
45C2×(C2×D9)⋊C4C2211yescharacteristic
46C2×(C2×D9)⋊C4C2211yescharacteristic
47C2×(C2×D9)⋊C4C2211yescharacteristic
48C2×(C2×D9)⋊C4C2211yescharacteristic
49C2×(C2×D9)⋊C4C2211yescharacteristic
50C2×(C2×D9)⋊C4C2211yescharacteristic, complemented
51C2×(C2×D9)⋊C4C2211yescharacteristic, complemented
52C2×C4⋊Dic9C2211yescharacteristic, complemented
53C2×C4⋊Dic9C2211yescharacteristic, complemented
54C2×Dic9⋊C4C2211yescharacteristic, complemented
55C2×Dic9⋊C4C2211yescharacteristic, complemented
56C2×C4×Dic9C2211yescharacteristic, complemented
57C2×C4×Dic9C2211yescharacteristic, complemented
58#63460C2218yescomplemented
59#63459C2218yescomplemented
60#63456C2218yescomplemented
61#63455C2218yescomplemented
62#63447C2218yescomplemented
63#63447C2218yescomplemented
64#63446C2218yescomplemented
65#63444C2218yescomplemented
66C22⋊C4×D9C2218yescomplemented
67#63441C2218yescomplemented
68C2×C3×#123D311yescharacteristic
69C2×#938—31no—
70C2×#937—31no—
71C2×#930—31no—
72C2×C4×#67—31no—
73#5657—316no—
74C2×#898—31no—
75C2×#897—31no—
76C2×#894—31no—
77C2×#893—31no—
78C2×#885—31no—
79C2×#885—31no—
80C2×#884—31no—
81C2×#882—31no—
82C2×D3×C22⋊C4—31no—
83C2×#879—31no—
84C24×C9C2311yescharacteristic
85C24×C9C2311yescharacteristic
86C23×D9—24no—
87C23×D9—42no—
88C23×D9—42no—
89C23×D9C2311yescharacteristic
90C23×D9C2311yescharacteristic
91C23×D9C2311yescharacteristic
92C23×D9C2314yes—
93C2×D4×C9—42no—
94C2×D4×C9C2314yes—
95C22×C4×C9—42no—
96C22×C4×C9C2311yescharacteristic
97C22×C4×C9C2311yescharacteristic
98C22×C4×C9C2311yescharacteristic
99C22×C4×C9C2311yescharacteristic
100C22×C4×C9C2311yescharacteristic
101C22×C4×C9C2314yescomplemented
102C2×#611—24no—
103C2×#611—42no—
104C2×#611—42no—
105C2×#611—42no—
106C2×#611C2314yes—
107C2×#611C2314yes—
108C2×#611C2314yes—
109C2×#611C2314yescomplemented
110C22×Dic9C2311yescharacteristic
111C22×Dic9C2311yescharacteristic
112C22×Dic9C2311yescharacteristic
113C22×Dic9C2311yescharacteristic
114C22×Dic9C2311yescharacteristic
115C2×D36—24no—
116C2×D36—42no—
117C2×D36C2314yes—
118C2×D36C2314yes—
119C2×C4×D9—42no—
120C2×C4×D9—42no—
121C2×C4×D9—42no—
122C2×C4×D9C2314yes—
123C2×C4×D9C2314yes—
124C2×C4×D9C2314yescomplemented
125C2×Dic18—42no—
126C2×Dic18C2314yescomplemented
127C9×C4⋊C4C2314yescomplemented
128C9×C4⋊C4C2314yescomplemented
129C9×C22⋊C4C2314yes—
130C9×C22⋊C4C2314yes—
131C9×C22⋊C4C2314yescomplemented
132#3676C2314yes—
133#3676C2314yes—
134#3676C2314yescomplemented
135(C2×D9)⋊C4C2314yes—
136(C2×D9)⋊C4C2314yes—
137(C2×D9)⋊C4C2314yes—
138(C2×D9)⋊C4C2314yes—
139(C2×D9)⋊C4C2314yes—
140(C2×D9)⋊C4C2314yes—
141(C2×D9)⋊C4C2314yescomplemented
142(C2×D9)⋊C4C2314yescomplemented
143C4⋊Dic9C2314yescomplemented
144C4⋊Dic9C2314yescomplemented
145Dic9⋊C4C2314yescomplemented
146Dic9⋊C4C2314yescomplemented
147C4×Dic9C2314yescomplemented
148C4×Dic9C2314yescomplemented
149C2×#538—91noSylow
150C24×D3—31no—
151C22×C3×D4C2×D311yescharacteristic
152C23×C3×C4C2×D311yescharacteristic
153C22×#67—31no—
154C22×#67—31no—
155C22×#67—31no—
156C22×#67—31no—
157C22×D12—31no—
158C22×D12—31no—
159C22×C4×D3—31no—
160C22×C4×D3—31no—
161C22×C4×D3—31no—
162C22×Dic6—31no—
163C3×#123C2×D318yes—
164C2×C3×C4⋊C4C2×D311yescharacteristic
165C2×C3×C4⋊C4C2×D311yescharacteristic
166C2×C3×C22⋊C4C2×D311yescharacteristic
167C2×C3×C22⋊C4C2×D311yescharacteristic
168C2×C3×C22⋊C4C2×D311yescharacteristic
169C2×#217—31no—
170C2×#217—31no—
171C2×#217—31no—
172#938—38no—
173#937—38no—
174#930—38no—
175C4×#67—38no—
176C2×(C2×D3)⋊C4—31no—
177C2×(C2×D3)⋊C4—31no—
178C2×(C2×D3)⋊C4—31no—
179C2×(C2×D3)⋊C4—31no—
180C2×(C2×D3)⋊C4—31no—
181C2×(C2×D3)⋊C4—31no—
182C2×(C2×D3)⋊C4—31no—
183C2×(C2×D3)⋊C4—31no—
184C2×C4⋊Dic3—31no—
185C2×C4⋊Dic3—31no—
186C2×Dic3⋊C4—31no—
187C2×Dic3⋊C4—31no—
188C2×C4×Dic3—31no—
189C2×C4×Dic3—31no—
190#898—38no—
191#897—38no—
192#894—38no—
193#893—38no—
194#885—38no—
195#885—38no—
196#884—38no—
197#882—38no—
198D3×C22⋊C4—38no—
199#879—38no—
200C23×C9—22no—
201C23×C9—22no—
202C23×C9—22no—
203C23×C9—22no—
204C23×C9—22no—
205C23×C9—22no—
206C23×C9C2412yes—
207C23×C9C2412yes—
208C23×C9C2411yescharacteristic
209C22×D9—22no—
210C22×D9—22no—
211C22×D9—22no—
212C22×D9—22no—
213C22×D9—22no—
214C22×D9—22no—
215C22×D9—22no—
216C22×D9—22no—
217C22×D9—28no—
218C22×D9—44no—
219C22×D9—44no—
220C22×D9—416no—
221C22×D9#4114yes—
222C22×D9C2412yes—
223C22×D9C2412yes—
224C22×D9C2412yes—
225D4×C9—44no—
226C2×C4×C9—22no—
227C2×C4×C9—22no—
228C2×C4×C9—22no—
229C2×C4×C9—22no—
230C2×C4×C9—22no—
231C2×C4×C9—44no—
232C2×C4×C9C2412yes—
233C2×C4×C9C2412yes—
234C2×C4×C9C2412yes—
235C2×C4×C9C2412yes—
236C2×C4×C9C2412yes—
237#611—28no—
238#611—44no—
239#611—44no—
240#611—44no—
241C2×Dic9—22no—
242C2×Dic9—22no—
243C2×Dic9—22no—
244C2×Dic9—22no—
245C2×Dic9—22no—
246C2×Dic9C2412yes—
247C2×Dic9C2412yes—
248C2×Dic9C2412yes—
249C2×Dic9C2412yes—
250C2×Dic9C2412yes—
251D36—28no—
252D36—44no—
253C4×D9—44no—
254C4×D9—44no—
255C4×D9—44no—
256Dic18—44no—
257#538—916no—
258C2×#126—91no—
259C2×#126—91no—
260C2×#124—91no—
261C2×#124—91no—
262C2×#123—91no—
263C2×#123D911yescharacteristic, complemented
264C2×C22⋊Q8—91no—
265C2×#121—91no—
266C2×#121—91no—
267C2×#121—91no—
268C2×#120—91no—
269C2×#120—91no—
270C2×C4×D4—91no—
271C2×C4×D4—91no—
272C22×C22⋊C4—91no—
273C24×C3C22×D311yescharacteristic
274C24×C3C22×D311yescharacteristic
275C23×D3—31no—
276C23×D3—31no—
277C23×D3—31no—
278C23×D3—34no—
279C23×D3—64no—
280C23×D3—122no—
281C23×D3—122no—
282C2×C3×D4—42no—
283C2×C3×D4C22×D314yes—
284C22×C3×C4—42no—
285C22×C3×C4C22×D311yescharacteristic
286C22×C3×C4C22×D311yescharacteristic
287C22×C3×C4C22×D311yescharacteristic
288C22×C3×C4C22×D311yescharacteristic
289C22×C3×C4C22×D311yescharacteristic
290C22×C3×C4C22×D314yes—
291C2×#67—34no—
292C2×#67—34no—
293C2×#67—34no—
294C2×#67—34no—
295C2×#67—64no—
296C2×#67—122no—
297C2×#67—122no—
298C2×#67—122no—
299C22×Dic3—31no—
300C22×Dic3—31no—
301C22×Dic3—31no—
302C22×Dic3—31no—
303C22×Dic3—31no—
304C2×D12—34no—
305C2×D12—34no—
306C2×D12—64no—
307C2×D12—122no—
308C2×C4×D3—34no—
309C2×C4×D3—34no—
310C2×C4×D3—34no—
311C2×C4×D3—122no—
312C2×C4×D3—122no—
313C2×C4×D3—122no—
314C2×Dic6—34no—
315C2×Dic6—122no—
316C3×C4⋊C4C22×D314yes—
317C3×C4⋊C4C22×D314yes—
318C3×C22⋊C4C22×D314yes—
319C3×C22⋊C4C22×D314yes—
320C3×C22⋊C4C22×D314yes—
321#217—34no—
322#217—34no—
323#217—34no—
324(C2×D3)⋊C4—34no—
325(C2×D3)⋊C4—34no—
326(C2×D3)⋊C4—34no—
327(C2×D3)⋊C4—34no—
328(C2×D3)⋊C4—34no—
329(C2×D3)⋊C4—34no—
330(C2×D3)⋊C4—34no—
331(C2×D3)⋊C4—34no—
332C4⋊Dic3—34no—
333C4⋊Dic3—34no—
334Dic3⋊C4—34no—
335Dic3⋊C4—34no—
336C4×Dic3—34no—
337C4×Dic3—34no—
338C22×C9—22no—
339C22×C9—22no—
340C22×C9—22no—
341C22×C9—22no—
342C22×C9—22no—
343C22×C9—22no—
344C22×C9—44no—
345C22×C9—44no—
346C22×C9C2×#4112yes—
347C22×C9H(5,𝔽2)12yes—
348C22×C9H(5,𝔽2)12yes—
349C22×C9C2511yescharacteristic
350C2×D9—28no—
351C2×D9—22no—
352C2×D9—22no—
353C2×D9—22no—
354C2×D9—22no—
355C2×D9—22no—
356C2×D9—22no—
357C2×D9—22no—
358C2×D9—22no—
359C2×D9—416no—
360C2×D9—44no—
361C2×D9—44no—
362C2×D9C2×#4114yes—
363C4×C9—22no—
364C4×C9—22no—
365C4×C9—22no—
366C4×C9—22no—
367C4×C9—22no—
368Dic9—22no—
369Dic9—22no—
370Dic9—22no—
371Dic9—22no—
372Dic9—22no—
373C25—91no—
374C22×Q8—91no—
375C22×D4—91no—
376C22×D4—91no—
377C22×D4—91no—
378C22×D4—91no—
379C22×D4—91no—
380C22×D4—91no—
381C22×D4C2×D911yescharacteristic
382C23×C4—91no—
383C23×C4—91no—
384C23×C4—91no—
385C23×C4C2×D911yescharacteristic, complemented
386#126—98no—
387#126—98no—
388#124—98no—
389#124—98no—
390#123—98no—
391#123C2×D918yescomplemented
392C22⋊Q8—98no—
393#121—98no—
394#121—98no—
395#121—98no—
396#120—98no—
397#120—98no—
398C4×D4—98no—
399C4×D4—98no—
400C2×C4⋊C4—91no—
401C2×C4⋊C4—91no—
402C2×C4⋊C4—91no—
403C2×C4⋊C4—91no—
404C2×C4⋊C4C2×D911yescharacteristic, complemented
405C2×C4⋊C4C2×D911yescharacteristic, complemented
406C2×C22⋊C4—91no—
407C2×C22⋊C4—91no—
408C2×C22⋊C4—91no—
409C2×C22⋊C4—91no—
410C2×C22⋊C4—91no—
411C2×C22⋊C4—91no—
412C2×C22⋊C4—91no—
413C2×C22⋊C4—91no—
414C2×C22⋊C4—91no—
415C2×C22⋊C4—91no—
416C2×C22⋊C4—91no—
417C2×C22⋊C4—98no—
418C2×C22⋊C4C2×D911yescharacteristic
419C2×C22⋊C4C2×D911yescharacteristic
420C2×C22⋊C4C2×D911yescharacteristic, complemented
421C2×C42—91no—
422C2×C42—91no—
423C23×C3—22no—
424C23×C3—22no—
425C23×C3—22no—
426C23×C3—22no—
427C23×C3—22no—
428C23×C3—22no—
429C23×C3C23×D312yes—
430C23×C3C23×D312yes—
431C23×C3C23×D311yescharacteristic
432C22×D3—34no—
433C22×D3—32no—
434C22×D3—32no—
435C22×D3—32no—
436C22×D3—68no—
437C22×D3—62no—
438C22×D3—62no—
439C22×D3—62no—
440C22×D3—62no—
441C22×D3—62no—
442C22×D3—62no—
443C22×D3—62no—
444C22×D3—62no—
445C22×D3—124no—
446C22×D3—124no—
447C22×D3—1216no—
448C3×D4—44no—
449C2×C3×C4—22no—
450C2×C3×C4—22no—
451C2×C3×C4—22no—
452C2×C3×C4—22no—
453C2×C3×C4—22no—
454C2×C3×C4—44no—
455C2×C3×C4C23×D312yes—
456C2×C3×C4C23×D312yes—
457C2×C3×C4C23×D312yes—
458C2×C3×C4C23×D312yes—
459C2×C3×C4C23×D312yes—
460#67—68no—
461#67—124no—
462#67—124no—
463#67—124no—
464C2×Dic3—32no—
465C2×Dic3—32no—
466C2×Dic3—32no—
467C2×Dic3—32no—
468C2×Dic3—32no—
469C2×Dic3—62no—
470C2×Dic3—62no—
471C2×Dic3—62no—
472C2×Dic3—62no—
473C2×Dic3—62no—
474D12—68no—
475D12—124no—
476C4×D3—124no—
477C4×D3—124no—
478C4×D3—124no—
479Dic6—124no—
480C2×C9—42no—
481C2×C9—42no—
482C2×C9#53814yescomplemented
483C2×C9C22×#4111yescharacteristic
484C2×C9C2×H(5,𝔽2)11yescharacteristic
485C2×C9C2×H(5,𝔽2)11yescharacteristic
486D9—24no—
487D9—42no—
488D9—42no—
489C24—91no—
490C24—91no—
491C24—91no—
492C24—94no—
493C24—184no—
494C24—362no—
495C24—362no—
496C24C22×D911yescharacteristic
497C24C22×D911yescharacteristic
498C2×Q8—94no—
499C2×Q8—362no—
500C2×D4—42no—
501C2×D4—94no—
502C2×D4—94no—
503C2×D4—94no—
504C2×D4—94no—
505C2×D4—94no—
506C2×D4—94no—
507C2×D4—184no—
508C2×D4—184no—
509C2×D4—362no—
510C2×D4—362no—
511C2×D4—362no—
512C2×D4—362no—
513C2×D4C22×D914yes—
514C22×C4—42no—
515C22×C4—91no—
516C22×C4—91no—
517C22×C4—91no—
518C22×C4—91no—
519C22×C4—91no—
520C22×C4—94no—
521C22×C4—94no—
522C22×C4—94no—
523C22×C4—362no—
524C22×C4—362no—
525C22×C4—362no—
526C22×C4C22×D911yescharacteristic
527C22×C4C22×D911yescharacteristic
528C22×C4C22×D911yescharacteristic
529C22×C4C22×D911yescharacteristic
530C22×C4C22×D911yescharacteristic
531C22×C4C22×D914yescomplemented
532C4⋊C4—94no—
533C4⋊C4—94no—
534C4⋊C4—94no—
535C4⋊C4—94no—
536C4⋊C4C22×D914yescomplemented
537C4⋊C4C22×D914yescomplemented
538C22⋊C4—94no—
539C22⋊C4—94no—
540C22⋊C4—94no—
541C22⋊C4—94no—
542C22⋊C4—94no—
543C22⋊C4—94no—
544C22⋊C4—94no—
545C22⋊C4—94no—
546C22⋊C4—94no—
547C22⋊C4—94no—
548C22⋊C4—94no—
549C22⋊C4C22×D914yes—
550C22⋊C4C22×D914yes—
551C22⋊C4C22×D914yescomplemented
552C42—94no—
553C42—94no—
554C22×C3—22no—
555C22×C3—22no—
556C22×C3—22no—
557C22×C3—22no—
558C22×C3—22no—
559C22×C3—22no—
560C22×C3—44no—
561C22×C3—44no—
562C22×C3#100412yes—
563C22×C3D3×#4112yes—
564C22×C3#100912yes—
565C22×C3C24×D311yescharacteristic
566C2×D3—34no—
567C2×D3—68no—
568C2×D3—62no—
569C2×D3—62no—
570C2×D3—62no—
571C2×D3—62no—
572C2×D3—62no—
573C2×D3—62no—
574C2×D3—62no—
575C2×D3—62no—
576C2×D3—1216no—
577C2×D3—124no—
578C2×D3—124no—
579C3×C4—22no—
580C3×C4—22no—
581C3×C4—22no—
582C3×C4—22no—
583C3×C4—22no—
584Dic3—62no—
585Dic3—62no—
586Dic3—62no—
587Dic3—62no—
588Dic3—62no—
589C9C2×#53811yescharacteristic, complemented, Sylow
590C23—22no—
591C23—22no—
592C23—22no—
593C23—22no—
594C23—22no—
595C23—22no—
596C23—92no—
597C23—94no—
598C23—92no—
599C23—92no—
600C23—188no—
601C23—182no—
602C23—182no—
603C23—182no—
604C23—182no—
605C23—182no—
606C23—182no—
607C23—182no—
608C23—182no—
609C23—364no—
610C23—364no—
611C23—3616no—
612C23C23×D912yes—
613C23C23×D912yes—
614C23C23×D911yescharacteristic
615Q8—364no—
616D4—44no—
617D4—188no—
618D4—188no—
619D4—364no—
620D4—364no—
621D4—364no—
622D4—364no—
623C2×C4—22no—
624C2×C4—22no—
625C2×C4—22no—
626C2×C4—22no—
627C2×C4—22no—
628C2×C4—44no—
629C2×C4—92no—
630C2×C4—92no—
631C2×C4—92no—
632C2×C4—92no—
633C2×C4—92no—
634C2×C4—182no—
635C2×C4—182no—
636C2×C4—182no—
637C2×C4—182no—
638C2×C4—182no—
639C2×C4—364no—
640C2×C4—364no—
641C2×C4—364no—
642C2×C4C23×D912yes—
643C2×C4C23×D912yes—
644C2×C4C23×D912yes—
645C2×C4C23×D912yes—
646C2×C4C23×D912yes—
647C2×C3—42no—
648C2×C3—42no—
649C2×C3#565714yes—
650C2×C3C2×#100411yescharacteristic
651C2×C3C2×D3×#4111yescharacteristic
652C2×C3C2×#100911yescharacteristic
653D3—64no—
654D3—122no—
655D3—122no—
656C22—22no—
657C22—22no—
658C22—22no—
659C22—22no—
660C22—22no—
661C22—22no—
662C22—44no—
663C22—44no—
664C22—94no—
665C22—188no—
666C22—182no—
667C22—182no—
668C22—182no—
669C22—182no—
670C22—182no—
671C22—182no—
672C22—182no—
673C22—182no—
674C22—3616no—
675C22—364no—
676C22—364no—
677C22#6371012yes—
678C22#41×D912yes—
679C22#6371512yes—
680C22C24×D911yescharacteristic
681C4—22no—
682C4—22no—
683C4—22no—
684C4—22no—
685C4—22no—
686C4—182no—
687C4—182no—
688C4—182no—
689C4—182no—
690C4—182no—
691C3C2×#565711yescharacteristic
692C2—42no—
693C2—42no—
694C2—184no—
695C2—362no—
696C2—362no—
697C2#1058975914yesdirect product factor
698C2C2×#6371011yescharacteristic
699C2C2×#41×D911yescharacteristic
700C2C2×#6371511yescharacteristic
subgroupG/H
centerC23C23×D9
commutator, cosocleC22×C9C25
FrattiniC22×C3C24×D3
FittingC2×C9×#123C2
socleC23×C3C23×D3
hypercenterC2×#123D9
hypocenterC9C2×#538
LCSG ▷ C22×C9 ▷ C9
UCSC1 ◁ C23 ◁ C2×#123

Complements

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

NH ≅ G/Ntype
1. C2×C9×#123C2semidirect
2. C2×#63500C2semidirect
3. C2×#63499C2semidirect
4. C2×#63492C2semidirect
5. C2×C4×#611C2semidirect
6. #10589759C2direct (N × H)
7. C2×#63460C2semidirect
8. C2×#63459C2semidirect
9. C2×#63456C2semidirect
10. C2×#63455C2semidirect
11. C2×#63447C2semidirect
12. C2×#63447C2semidirect
13. C2×#63446C2semidirect
14. C2×#63444C2semidirect
15. C2×C22⋊C4×D9C2semidirect
16. C2×#63441C2semidirect
20. C23×C4×C9C22semidirect
24. C22×#611C22semidirect
29. C22×C4×D9C22semidirect
30. C22×Dic18C22semidirect
31. C9×#123C22semidirect
32. C2×C9×C4⋊C4C22semidirect
33. C2×C9×C4⋊C4C22semidirect
36. C2×C9×C22⋊C4C22semidirect
39. C2×#3676C22semidirect
40. #63500C22semidirect
41. #63499C22semidirect
42. #63492C22semidirect
43. C4×#611C22semidirect
50. C2×(C2×D9)⋊C4C22semidirect
51. C2×(C2×D9)⋊C4C22semidirect
52. C2×C4⋊Dic9C22semidirect
53. C2×C4⋊Dic9C22semidirect
54. C2×Dic9⋊C4C22semidirect
55. C2×Dic9⋊C4C22semidirect
56. C2×C4×Dic9C22semidirect
57. C2×C4×Dic9C22semidirect
58. #63460C22semidirect
59. #63459C22semidirect
60. #63456C22semidirect
61. #63455C22semidirect
62. #63447C22semidirect
63. #63447C22semidirect
64. #63446C22semidirect
65. #63444C22semidirect
66. C22⋊C4×D9C22semidirect
67. #63441C22semidirect
101. C22×C4×C9C23semidirect
109. C2×#611C23semidirect
124. C2×C4×D9C23semidirect
126. C2×Dic18C23semidirect
127. C9×C4⋊C4C23semidirect
128. C9×C4⋊C4C23semidirect
131. C9×C22⋊C4C23semidirect
134. #3676C23semidirect
141. (C2×D9)⋊C4C23semidirect
142. (C2×D9)⋊C4C23semidirect
143. C4⋊Dic9C23semidirect
144. C4⋊Dic9C23semidirect
145. Dic9⋊C4C23semidirect
146. Dic9⋊C4C23semidirect
147. C4×Dic9C23semidirect
148. C4×Dic9C23semidirect
263. C2×#123D9semidirect
385. C23×C4C2×D9semidirect
391. #123C2×D9semidirect
404. C2×C4⋊C4C2×D9semidirect
405. C2×C4⋊C4C2×D9semidirect
420. C2×C22⋊C4C2×D9semidirect
482. C2×C9#538semidirect
531. C22×C4C22×D9semidirect
536. C4⋊C4C22×D9semidirect
537. C4⋊C4C22×D9semidirect
551. C22⋊C4C22×D9semidirect
589. C9C2×#538semidirect
697. C2#10589759direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C9×#1232
C2×#635002
C2×#634992
C2×#634922
C2×C4×#6112
#105897592
C2×#634602
C2×#634592
C2×#634562
C2×#634552
C2×#634472
C2×#634462
C2×#634442
C2×C22⋊C4×D92
C2×#634412
C2×#56573