Finite Group Databasebeta

← C2×#10589722 #11910156

Subgroups — C2×#10589722 #11910156

Order 1152.

2016 conjugacy classes of subgroups.

The subgroup lattice has 738 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C9×#121C211yesmaximal, characteristic, complemented
2C2×#63502C211yesmaximal, characteristic, complemented
3C2×#63501C211yesmaximal, characteristic, complemented
4C2×#63501C211yesmaximal, characteristic, complemented
5C2×#63500C211yesmaximal, characteristic, complemented
6C2×#63499C211yesmaximal, characteristic, complemented
7C2×#63499C211yesmaximal, characteristic, complemented
8C2×#63492C211yesmaximal, characteristic, complemented
9C2×#63491C211yesmaximal, characteristic, complemented
10#10589722C2116yesmaximal, direct product factor
11C2×#63460C211yesmaximal, characteristic, complemented
12C2×#63456C211yesmaximal, characteristic, complemented
13C2×#63448C211yesmaximal, characteristic, complemented
14C2×#63446C211yesmaximal, characteristic, complemented
15C2×#63444C211yesmaximal, characteristic, complemented
16C2×#63441C211yesmaximal, characteristic, complemented
17C2×#5620—31nomaximal
18C24×D9C2211yescharacteristic
19C22×D4×C9C2211yescharacteristic
20C22×D4×C9C2211yescharacteristic
21C22×D4×C9C2211yescharacteristic, complemented
22C23×C4×C9C2211yescharacteristic, complemented
23C22×#611C2211yescharacteristic
24C22×#611C2211yescharacteristic
25C22×#611C2211yescharacteristic
26C22×#611C2211yescharacteristic
27C22×#611C2211yescharacteristic
28C22×#611C2211yescharacteristic, complemented
29C22×#611C2211yescharacteristic, complemented
30C23×Dic9C2211yescharacteristic, complemented
31C22×D36C2211yescharacteristic
32C22×D36C2211yescharacteristic
33C22×C4×D9C2211yescharacteristic, complemented
34C9×#121C2218yescomplemented
35C2×C9×C4⋊C4C2211yescharacteristic, complemented
36C2×C9×C22⋊C4C2211yescharacteristic
37C2×C9×C22⋊C4C2211yescharacteristic, complemented
38C2×#3676C2211yescharacteristic
39C2×#3676C2211yescharacteristic
40C2×#3676C2211yescharacteristic, complemented
41#63502C2218yescomplemented
42#63501C2218yescomplemented
43#63501C2218yescomplemented
44#63500C2218yescomplemented
45#63499C2218yescomplemented
46#63499C2218yescomplemented
47#63492C2218yescomplemented
48#63491C2218yescomplemented
49C2×(C2×D9)⋊C4C2211yescharacteristic
50C2×(C2×D9)⋊C4C2211yescharacteristic
51C2×(C2×D9)⋊C4C2211yescharacteristic
52C2×(C2×D9)⋊C4C2211yescharacteristic
53C2×(C2×D9)⋊C4C2211yescharacteristic
54C2×(C2×D9)⋊C4C2211yescharacteristic
55C2×(C2×D9)⋊C4C2211yescharacteristic, complemented
56C2×C4⋊Dic9C2211yescharacteristic, complemented
57C2×C4⋊Dic9C2211yescharacteristic, complemented
58C2×Dic9⋊C4C2211yescharacteristic, complemented
59C2×Dic9⋊C4C2211yescharacteristic, complemented
60C2×Dic9⋊C4C2211yescharacteristic, complemented
61C2×C4×Dic9C2211yescharacteristic, complemented
62#63460C2218yescomplemented
63#63456C2218yescomplemented
64#63448C2218yescomplemented
65#63446C2218yescomplemented
66#63444C2218yescomplemented
67#63441C2218yescomplemented
68C2×C3×#121D311yescharacteristic
69C2×#940—31no—
70C2×#939—31no—
71C2×#939—31no—
72C2×#938—31no—
73C2×#937—31no—
74C2×#937—31no—
75C2×#930—31no—
76C2×#929—31no—
77#5620—316no—
78C2×#898—31no—
79C2×#894—31no—
80C2×#886—31no—
81C2×#884—31no—
82C2×#882—31no—
83C2×#879—31no—
84C24×C9C2311yescharacteristic
85C24×C9C2311yescharacteristic
86C24×C9C2311yescharacteristic
87C23×D9—42no—
88C23×D9—42no—
89C23×D9—42no—
90C23×D9C2311yescharacteristic
91C23×D9C2311yescharacteristic
92C23×D9C2311yescharacteristic
93C23×D9C2314yes—
94C2×D4×C9—42no—
95C2×D4×C9—42no—
96C2×D4×C9—42no—
97C2×D4×C9C2314yes—
98C2×D4×C9C2314yes—
99C2×D4×C9C2314yescomplemented
100C22×C4×C9—42no—
101C22×C4×C9C2311yescharacteristic
102C22×C4×C9C2311yescharacteristic
103C22×C4×C9C2311yescharacteristic
104C22×C4×C9C2311yescharacteristic
105C22×C4×C9C2314yescomplemented
106C2×#611—42no—
107C2×#611—42no—
108C2×#611—42no—
109C2×#611—42no—
110C2×#611—42no—
111C2×#611—42no—
112C2×#611—42no—
113C2×#611C2314yes—
114C2×#611C2314yes—
115C2×#611C2314yes—
116C2×#611C2314yes—
117C2×#611C2314yes—
118C2×#611C2314yescomplemented
119C2×#611C2314yescomplemented
120C22×Dic9—42no—
121C22×Dic9C2311yescharacteristic
122C22×Dic9C2311yescharacteristic
123C22×Dic9C2311yescharacteristic
124C22×Dic9C2311yescharacteristic
125C22×Dic9C2311yescharacteristic
126C22×Dic9C2314yescomplemented
127C2×D36—42no—
128C2×D36—42no—
129C2×D36C2314yes—
130C2×D36C2314yes—
131C2×C4×D9—42no—
132C2×C4×D9C2314yescomplemented
133C9×C4⋊C4C2314yescomplemented
134C9×C22⋊C4C2314yes—
135C9×C22⋊C4C2314yescomplemented
136#3676C2314yes—
137#3676C2314yes—
138#3676C2314yescomplemented
139(C2×D9)⋊C4C2314yes—
140(C2×D9)⋊C4C2314yes—
141(C2×D9)⋊C4C2314yes—
142(C2×D9)⋊C4C2314yes—
143(C2×D9)⋊C4C2314yes—
144(C2×D9)⋊C4C2314yes—
145(C2×D9)⋊C4C2314yescomplemented
146C4⋊Dic9C2314yescomplemented
147C4⋊Dic9C2314yescomplemented
148Dic9⋊C4C2314yescomplemented
149Dic9⋊C4C2314yescomplemented
150Dic9⋊C4C2314yescomplemented
151C4×Dic9C2314yescomplemented
152C2×#560—91noSylow
153C24×D3—31no—
154C22×C3×D4C2×D311yescharacteristic
155C22×C3×D4C2×D311yescharacteristic
156C22×C3×D4C2×D311yescharacteristic
157C23×C3×C4C2×D311yescharacteristic
158C22×#67—31no—
159C22×#67—31no—
160C22×#67—31no—
161C22×#67—31no—
162C22×#67—31no—
163C22×#67—31no—
164C22×#67—31no—
165C23×Dic3—31no—
166C22×D12—31no—
167C22×D12—31no—
168C22×C4×D3—31no—
169C3×#121C2×D318yes—
170C2×C3×C4⋊C4C2×D311yescharacteristic
171C2×C3×C22⋊C4C2×D311yescharacteristic
172C2×C3×C22⋊C4C2×D311yescharacteristic
173C2×#217—31no—
174C2×#217—31no—
175C2×#217—31no—
176#940—38no—
177#939—38no—
178#939—38no—
179#938—38no—
180#937—38no—
181#937—38no—
182#930—38no—
183#929—38no—
184C2×(C2×D3)⋊C4—31no—
185C2×(C2×D3)⋊C4—31no—
186C2×(C2×D3)⋊C4—31no—
187C2×(C2×D3)⋊C4—31no—
188C2×(C2×D3)⋊C4—31no—
189C2×(C2×D3)⋊C4—31no—
190C2×(C2×D3)⋊C4—31no—
191C2×C4⋊Dic3—31no—
192C2×C4⋊Dic3—31no—
193C2×Dic3⋊C4—31no—
194C2×Dic3⋊C4—31no—
195C2×Dic3⋊C4—31no—
196C2×C4×Dic3—31no—
197#898—38no—
198#894—38no—
199#886—38no—
200#884—38no—
201#882—38no—
202#879—38no—
203C23×C9—22no—
204C23×C9—22no—
205C23×C9—22no—
206C23×C9—22no—
207C23×C9—22no—
208C23×C9—22no—
209C23×C9—22no—
210C23×C9—22no—
211C23×C9—22no—
212C23×C9C2412yes—
213C23×C9C2412yes—
214C23×C9C2412yes—
215C23×C9C2411yescharacteristic
216C22×D9—22no—
217C22×D9—22no—
218C22×D9—22no—
219C22×D9—22no—
220C22×D9—22no—
221C22×D9—22no—
222C22×D9—22no—
223C22×D9—22no—
224C22×D9—22no—
225C22×D9—44no—
226C22×D9—44no—
227C22×D9—44no—
228C22×D9—416no—
229C22×D9C2412yes—
230C22×D9C2412yes—
231C22×D9C2412yes—
232D4×C9—44no—
233D4×C9—44no—
234D4×C9—44no—
235C2×C4×C9—22no—
236C2×C4×C9—22no—
237C2×C4×C9—22no—
238C2×C4×C9—22no—
239C2×C4×C9—44no—
240C2×C4×C9C2412yes—
241C2×C4×C9C2412yes—
242C2×C4×C9C2412yes—
243C2×C4×C9C2412yes—
244#611—44no—
245#611—44no—
246#611—44no—
247#611—44no—
248#611—44no—
249#611—44no—
250#611—44no—
251C2×Dic9—22no—
252C2×Dic9—22no—
253C2×Dic9—22no—
254C2×Dic9—22no—
255C2×Dic9—22no—
256C2×Dic9—44no—
257C2×Dic9C2412yes—
258C2×Dic9C2412yes—
259C2×Dic9C2412yes—
260C2×Dic9C2412yes—
261C2×Dic9C2412yes—
262D36—44no—
263D36—44no—
264C4×D9—44no—
265#560—916no—
266C2×#127—91no—
267C2×#126—91no—
268C2×#126—91no—
269C2×#123—91no—
270C2×#123—91no—
271C2×#123—91no—
272C2×#121—91no—
273C2×#121—91no—
274C2×#121—91no—
275C2×#121—91no—
276C2×#121—91no—
277C2×#121D911yescharacteristic, complemented
278C2×#120—91no—
279C2×#120—91no—
280C2×#120—91no—
281C24×C3C22×D311yescharacteristic
282C24×C3C22×D311yescharacteristic
283C24×C3C22×D311yescharacteristic
284C23×D3—31no—
285C23×D3—31no—
286C23×D3—31no—
287C23×D3—34no—
288C23×D3—122no—
289C23×D3—122no—
290C23×D3—122no—
291C2×C3×D4—42no—
292C2×C3×D4—42no—
293C2×C3×D4—42no—
294C2×C3×D4C22×D314yes—
295C2×C3×D4C22×D314yes—
296C2×C3×D4C22×D314yes—
297C22×C3×C4—42no—
298C22×C3×C4C22×D311yescharacteristic
299C22×C3×C4C22×D311yescharacteristic
300C22×C3×C4C22×D311yescharacteristic
301C22×C3×C4C22×D311yescharacteristic
302C22×C3×C4C22×D314yes—
303C2×#67—34no—
304C2×#67—34no—
305C2×#67—34no—
306C2×#67—34no—
307C2×#67—34no—
308C2×#67—34no—
309C2×#67—34no—
310C2×#67—122no—
311C2×#67—122no—
312C2×#67—122no—
313C2×#67—122no—
314C2×#67—122no—
315C2×#67—122no—
316C2×#67—122no—
317C22×Dic3—31no—
318C22×Dic3—31no—
319C22×Dic3—31no—
320C22×Dic3—31no—
321C22×Dic3—31no—
322C22×Dic3—34no—
323C22×Dic3—122no—
324C2×D12—34no—
325C2×D12—34no—
326C2×D12—122no—
327C2×D12—122no—
328C2×C4×D3—34no—
329C2×C4×D3—122no—
330C3×C4⋊C4C22×D314yes—
331C3×C22⋊C4C22×D314yes—
332C3×C22⋊C4C22×D314yes—
333#217—34no—
334#217—34no—
335#217—34no—
336(C2×D3)⋊C4—34no—
337(C2×D3)⋊C4—34no—
338(C2×D3)⋊C4—34no—
339(C2×D3)⋊C4—34no—
340(C2×D3)⋊C4—34no—
341(C2×D3)⋊C4—34no—
342(C2×D3)⋊C4—34no—
343C4⋊Dic3—34no—
344C4⋊Dic3—34no—
345Dic3⋊C4—34no—
346Dic3⋊C4—34no—
347Dic3⋊C4—34no—
348C4×Dic3—34no—
349C22×C9—22no—
350C22×C9—22no—
351C22×C9—22no—
352C22×C9—22no—
353C22×C9—22no—
354C22×C9—22no—
355C22×C9—22no—
356C22×C9—22no—
357C22×C9—22no—
358C22×C9—44no—
359C22×C9—44no—
360C22×C9—44no—
361C22×C9H(5,𝔽2)12yes—
362C22×C9H(5,𝔽2)12yes—
363C22×C9H(5,𝔽2)12yes—
364C22×C9C2511yescharacteristic
365C2×D9—22no—
366C2×D9—22no—
367C2×D9—22no—
368C2×D9—22no—
369C2×D9—22no—
370C2×D9—22no—
371C2×D9—22no—
372C2×D9—22no—
373C2×D9—22no—
374C2×D9—416no—
375C2×D9—44no—
376C2×D9—44no—
377C2×D9—44no—
378C4×C9—22no—
379C4×C9—22no—
380C4×C9—22no—
381C4×C9—22no—
382Dic9—22no—
383Dic9—22no—
384Dic9—22no—
385Dic9—22no—
386Dic9—22no—
387C25—91no—
388C22×D4—91no—
389C22×D4—91no—
390C22×D4—91no—
391C22×D4—91no—
392C22×D4—91no—
393C22×D4—91no—
394C22×D4—91no—
395C22×D4—91no—
396C22×D4—91no—
397C22×D4C2×D911yescharacteristic
398C22×D4C2×D911yescharacteristic
399C22×D4C2×D911yescharacteristic, complemented
400C23×C4—91no—
401C23×C4—91no—
402C23×C4C2×D911yescharacteristic, complemented
403#127—98no—
404#126—98no—
405#126—98no—
406#123—98no—
407#123—98no—
408#123—98no—
409#121—98no—
410#121—98no—
411#121—98no—
412#121—98no—
413#121—98no—
414#121C2×D918yescomplemented
415#120—98no—
416#120—98no—
417#120—98no—
418C2×C4⋊C4—91no—
419C2×C4⋊C4—91no—
420C2×C4⋊C4—91no—
421C2×C4⋊C4—91no—
422C2×C4⋊C4—91no—
423C2×C4⋊C4C2×D911yescharacteristic, complemented
424C2×C22⋊C4—91no—
425C2×C22⋊C4—91no—
426C2×C22⋊C4—91no—
427C2×C22⋊C4—91no—
428C2×C22⋊C4—91no—
429C2×C22⋊C4—91no—
430C2×C22⋊C4—91no—
431C2×C22⋊C4—91no—
432C2×C22⋊C4—91no—
433C2×C22⋊C4—91no—
434C2×C22⋊C4C2×D911yescharacteristic
435C2×C22⋊C4C2×D911yescharacteristic, complemented
436C2×C42—91no—
437C23×C3—22no—
438C23×C3—22no—
439C23×C3—22no—
440C23×C3—22no—
441C23×C3—22no—
442C23×C3—22no—
443C23×C3—22no—
444C23×C3—22no—
445C23×C3—22no—
446C23×C3C23×D312yes—
447C23×C3C23×D312yes—
448C23×C3C23×D312yes—
449C23×C3C23×D311yescharacteristic
450C22×D3—32no—
451C22×D3—32no—
452C22×D3—32no—
453C22×D3—62no—
454C22×D3—62no—
455C22×D3—62no—
456C22×D3—62no—
457C22×D3—62no—
458C22×D3—62no—
459C22×D3—62no—
460C22×D3—62no—
461C22×D3—62no—
462C22×D3—124no—
463C22×D3—124no—
464C22×D3—124no—
465C22×D3—1216no—
466C3×D4—44no—
467C3×D4—44no—
468C3×D4—44no—
469C2×C3×C4—22no—
470C2×C3×C4—22no—
471C2×C3×C4—22no—
472C2×C3×C4—22no—
473C2×C3×C4—44no—
474C2×C3×C4C23×D312yes—
475C2×C3×C4C23×D312yes—
476C2×C3×C4C23×D312yes—
477C2×C3×C4C23×D312yes—
478#67—124no—
479#67—124no—
480#67—124no—
481#67—124no—
482#67—124no—
483#67—124no—
484#67—124no—
485C2×Dic3—32no—
486C2×Dic3—32no—
487C2×Dic3—32no—
488C2×Dic3—32no—
489C2×Dic3—32no—
490C2×Dic3—62no—
491C2×Dic3—62no—
492C2×Dic3—62no—
493C2×Dic3—62no—
494C2×Dic3—62no—
495C2×Dic3—124no—
496D12—124no—
497D12—124no—
498C4×D3—124no—
499C2×C9—42no—
500C2×C9—42no—
501C2×C9—42no—
502C2×C9#56014yescomplemented
503C2×C9C2×H(5,𝔽2)11yescharacteristic
504C2×C9C2×H(5,𝔽2)11yescharacteristic
505C2×C9C2×H(5,𝔽2)11yescharacteristic
506D9—42no—
507D9—42no—
508D9—42no—
509C24—91no—
510C24—91no—
511C24—91no—
512C24—94no—
513C24—362no—
514C24—362no—
515C24—362no—
516C24C22×D911yescharacteristic
517C24C22×D911yescharacteristic
518C24C22×D911yescharacteristic
519C2×D4—42no—
520C2×D4—42no—
521C2×D4—42no—
522C2×D4—94no—
523C2×D4—94no—
524C2×D4—94no—
525C2×D4—94no—
526C2×D4—94no—
527C2×D4—94no—
528C2×D4—94no—
529C2×D4—94no—
530C2×D4—94no—
531C2×D4—362no—
532C2×D4—362no—
533C2×D4—362no—
534C2×D4—362no—
535C2×D4—362no—
536C2×D4—362no—
537C2×D4—362no—
538C2×D4—362no—
539C2×D4—362no—
540C2×D4C22×D914yes—
541C2×D4C22×D914yes—
542C2×D4C22×D914yescomplemented
543C22×C4—42no—
544C22×C4—91no—
545C22×C4—91no—
546C22×C4—91no—
547C22×C4—91no—
548C22×C4—91no—
549C22×C4—94no—
550C22×C4—94no—
551C22×C4—362no—
552C22×C4—362no—
553C22×C4C22×D911yescharacteristic
554C22×C4C22×D911yescharacteristic
555C22×C4C22×D911yescharacteristic
556C22×C4C22×D911yescharacteristic
557C22×C4C22×D914yescomplemented
558C4⋊C4—94no—
559C4⋊C4—94no—
560C4⋊C4—94no—
561C4⋊C4—94no—
562C4⋊C4—94no—
563C4⋊C4C22×D914yescomplemented
564C22⋊C4—94no—
565C22⋊C4—94no—
566C22⋊C4—94no—
567C22⋊C4—94no—
568C22⋊C4—94no—
569C22⋊C4—94no—
570C22⋊C4—94no—
571C22⋊C4—94no—
572C22⋊C4—94no—
573C22⋊C4—94no—
574C22⋊C4C22×D914yes—
575C22⋊C4C22×D914yescomplemented
576C42—94no—
577C22×C3—22no—
578C22×C3—22no—
579C22×C3—22no—
580C22×C3—22no—
581C22×C3—22no—
582C22×C3—22no—
583C22×C3—22no—
584C22×C3—22no—
585C22×C3—22no—
586C22×C3—44no—
587C22×C3—44no—
588C22×C3—44no—
589C22×C3#100412yes—
590C22×C3#100412yes—
591C22×C3#100912yes—
592C22×C3C24×D311yescharacteristic
593C2×D3—62no—
594C2×D3—62no—
595C2×D3—62no—
596C2×D3—62no—
597C2×D3—62no—
598C2×D3—62no—
599C2×D3—62no—
600C2×D3—62no—
601C2×D3—62no—
602C2×D3—1216no—
603C2×D3—124no—
604C2×D3—124no—
605C2×D3—124no—
606C3×C4—22no—
607C3×C4—22no—
608C3×C4—22no—
609C3×C4—22no—
610Dic3—62no—
611Dic3—62no—
612Dic3—62no—
613Dic3—62no—
614Dic3—62no—
615C9C2×#56011yescharacteristic, complemented, Sylow
616C23—22no—
617C23—22no—
618C23—22no—
619C23—22no—
620C23—22no—
621C23—22no—
622C23—22no—
623C23—22no—
624C23—22no—
625C23—92no—
626C23—92no—
627C23—92no—
628C23—182no—
629C23—182no—
630C23—182no—
631C23—182no—
632C23—182no—
633C23—182no—
634C23—182no—
635C23—182no—
636C23—182no—
637C23—364no—
638C23—364no—
639C23—364no—
640C23—3616no—
641C23C23×D912yes—
642C23C23×D912yes—
643C23C23×D912yes—
644C23C23×D911yescharacteristic
645D4—44no—
646D4—44no—
647D4—44no—
648D4—364no—
649D4—364no—
650D4—364no—
651D4—364no—
652D4—364no—
653D4—364no—
654D4—364no—
655D4—364no—
656D4—364no—
657C2×C4—22no—
658C2×C4—22no—
659C2×C4—22no—
660C2×C4—22no—
661C2×C4—44no—
662C2×C4—92no—
663C2×C4—92no—
664C2×C4—92no—
665C2×C4—92no—
666C2×C4—92no—
667C2×C4—182no—
668C2×C4—182no—
669C2×C4—182no—
670C2×C4—182no—
671C2×C4—182no—
672C2×C4—364no—
673C2×C4—364no—
674C2×C4C23×D912yes—
675C2×C4C23×D912yes—
676C2×C4C23×D912yes—
677C2×C4C23×D912yes—
678C2×C3—42no—
679C2×C3—42no—
680C2×C3—42no—
681C2×C3#562014yes—
682C2×C3C2×#100411yescharacteristic
683C2×C3C2×#100411yescharacteristic
684C2×C3C2×#100911yescharacteristic
685D3—122no—
686D3—122no—
687D3—122no—
688C22—22no—
689C22—22no—
690C22—22no—
691C22—22no—
692C22—22no—
693C22—22no—
694C22—22no—
695C22—22no—
696C22—22no—
697C22—44no—
698C22—44no—
699C22—44no—
700C22—182no—
701C22—182no—
702C22—182no—
703C22—182no—
704C22—182no—
705C22—182no—
706C22—182no—
707C22—182no—
708C22—182no—
709C22—3616no—
710C22—364no—
711C22—364no—
712C22—364no—
713C22#6371012yes—
714C22#6371012yes—
715C22#6371512yes—
716C22C24×D911yescharacteristic
717C4—22no—
718C4—22no—
719C4—22no—
720C4—22no—
721C4—182no—
722C4—182no—
723C4—182no—
724C4—182no—
725C4—182no—
726C3C2×#562011yescharacteristic
727C2—42no—
728C2—42no—
729C2—42no—
730C2—362no—
731C2—362no—
732C2—362no—
733C2#1058972214yesdirect product factor
734C2C2×#6371011yescharacteristic
735C2C2×#6371011yescharacteristic
736C2C2×#6371511yescharacteristic
subgroupG/H
centerC23C23×D9
commutator, cosocleC22×C9C25
FrattiniC22×C3C24×D3
FittingC2×C9×#121C2
socleC23×C3C23×D3
hypercenterC2×#121D9
hypocenterC9C2×#560
LCSG ▷ C22×C9 ▷ C9
UCSC1 ◁ C23 ◁ C2×#121

Complements

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

NH ≅ G/Ntype
1. C2×C9×#121C2semidirect
2. C2×#63502C2semidirect
3. C2×#63501C2semidirect
4. C2×#63501C2semidirect
5. C2×#63500C2semidirect
6. C2×#63499C2semidirect
7. C2×#63499C2semidirect
8. C2×#63492C2semidirect
9. C2×#63491C2semidirect
10. #10589722C2direct (N × H)
11. C2×#63460C2semidirect
12. C2×#63456C2semidirect
13. C2×#63448C2semidirect
14. C2×#63446C2semidirect
15. C2×#63444C2semidirect
16. C2×#63441C2semidirect
21. C22×D4×C9C22semidirect
22. C23×C4×C9C22semidirect
28. C22×#611C22semidirect
29. C22×#611C22semidirect
30. C23×Dic9C22semidirect
33. C22×C4×D9C22semidirect
34. C9×#121C22semidirect
35. C2×C9×C4⋊C4C22semidirect
37. C2×C9×C22⋊C4C22semidirect
40. C2×#3676C22semidirect
41. #63502C22semidirect
42. #63501C22semidirect
43. #63501C22semidirect
44. #63500C22semidirect
45. #63499C22semidirect
46. #63499C22semidirect
47. #63492C22semidirect
48. #63491C22semidirect
55. C2×(C2×D9)⋊C4C22semidirect
56. C2×C4⋊Dic9C22semidirect
57. C2×C4⋊Dic9C22semidirect
58. C2×Dic9⋊C4C22semidirect
59. C2×Dic9⋊C4C22semidirect
60. C2×Dic9⋊C4C22semidirect
61. C2×C4×Dic9C22semidirect
62. #63460C22semidirect
63. #63456C22semidirect
64. #63448C22semidirect
65. #63446C22semidirect
66. #63444C22semidirect
67. #63441C22semidirect
99. C2×D4×C9C23semidirect
105. C22×C4×C9C23semidirect
118. C2×#611C23semidirect
119. C2×#611C23semidirect
126. C22×Dic9C23semidirect
132. C2×C4×D9C23semidirect
133. C9×C4⋊C4C23semidirect
135. C9×C22⋊C4C23semidirect
138. #3676C23semidirect
145. (C2×D9)⋊C4C23semidirect
146. C4⋊Dic9C23semidirect
147. C4⋊Dic9C23semidirect
148. Dic9⋊C4C23semidirect
149. Dic9⋊C4C23semidirect
150. Dic9⋊C4C23semidirect
151. C4×Dic9C23semidirect
277. C2×#121D9semidirect
399. C22×D4C2×D9semidirect
402. C23×C4C2×D9semidirect
414. #121C2×D9semidirect
423. C2×C4⋊C4C2×D9semidirect
435. C2×C22⋊C4C2×D9semidirect
502. C2×C9#560semidirect
542. C2×D4C22×D9semidirect
557. C22×C4C22×D9semidirect
563. C4⋊C4C22×D9semidirect
575. C22⋊C4C22×D9semidirect
615. C9C2×#560semidirect
733. C2#10589722direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C9×#1212
C2×#635022
C2×#635012
C2×#635002
C2×#634992
C2×#634922
C2×#634912
#105897222
C2×#634602
C2×#634562
C2×#634482
C2×#634462
C2×#634442
C2×#634412
C2×#56203