Finite Group Databasebeta

← C2×#10589662 #11901255

Subgroups — C2×#10589662 #11901255

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×C4×D4×C9C211yesmaximal, characteristic, complemented
2C2×#63501C211yesmaximal, characteristic, complemented
3C2×#63499C211yesmaximal, characteristic, complemented
4C2×#63492C211yesmaximal, characteristic, complemented
5C2×#63491C211yesmaximal, characteristic, complemented
6C2×C4×#611C211yesmaximal, characteristic, complemented
7C22×(C2×D9)⋊C4C211yesmaximal, characteristic, complemented
8#10589662C2116yesmaximal, direct product factor
9C2×#63460C211yesmaximal, characteristic, complemented
10C2×#63456C211yesmaximal, characteristic, complemented
11C2×#63447C211yesmaximal, characteristic, complemented
12C2×#63446C211yesmaximal, characteristic, complemented
13C2×#63444C211yesmaximal, characteristic, complemented
14C2×#63440C211yesmaximal, characteristic, complemented
15C2×#63438C211yesmaximal, characteristic, complemented
16C2×#63437C211yesmaximal, characteristic, complemented
17C2×#5560—31nomaximal
18C24×D9C2211yescharacteristic
19C22×D4×C9C2211yescharacteristic
20C23×C4×C9C2211yescharacteristic
21C23×C4×C9C2211yescharacteristic, complemented
22C22×#611C2211yescharacteristic
23C22×#611C2211yescharacteristic
24C22×#611C2211yescharacteristic
25C22×#611C2211yescharacteristic, complemented
26C23×Dic9C2211yescharacteristic
27C22×D36C2211yescharacteristic
28C22×D36C2211yescharacteristic
29C22×C4×D9C2211yescharacteristic, complemented
30C22×Dic18C2211yescharacteristic, complemented
31C4×D4×C9C2218yescomplemented
32C2×C9×C4⋊C4C2211yescharacteristic, complemented
33C2×C9×C22⋊C4C2211yescharacteristic
34C2×C9×C22⋊C4C2211yescharacteristic, complemented
35C2×C42×C9C2211yescharacteristic, complemented
36C2×#3676C2211yescharacteristic
37C2×#3676C2211yescharacteristic, complemented
38#63501C2218yescomplemented
39#63499C2218yescomplemented
40#63492C2218yescomplemented
41#63491C2218yescomplemented
42C4×#611C2218yescomplemented
43C2×(C2×D9)⋊C4C2211yescharacteristic
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
51C2×(C2×D9)⋊C4C2218yescomplemented
52C2×(C2×D9)⋊C4C2211yescharacteristic, complemented
53C2×(C2×D9)⋊C4C2211yescharacteristic, complemented
54C2×C4⋊Dic9C2211yescharacteristic, complemented
55C2×Dic9⋊C4C2211yescharacteristic, complemented
56C2×Dic9⋊C4C2211yescharacteristic, complemented
57C2×Dic9⋊C4C2211yescharacteristic, complemented
58C2×Dic9⋊C4C2211yescharacteristic, complemented
59C2×C4×Dic9C2211yescharacteristic, complemented
60#63460C2218yescomplemented
61#63456C2218yescomplemented
62#63447C2218yescomplemented
63#63446C2218yescomplemented
64#63444C2218yescomplemented
65#63440C2218yescomplemented
66#63438C2218yescomplemented
67#63437C2218yescomplemented
68C2×C3×C4×D4D311yescharacteristic
69C2×#939—31no—
70C2×#937—31no—
71C2×#930—31no—
72C2×#929—31no—
73C2×C4×#67—31no—
74C22×(C2×D3)⋊C4—31no—
75#5560—316no—
76C2×#898—31no—
77C2×#894—31no—
78C2×#885—31no—
79C2×#884—31no—
80C2×#882—31no—
81C2×#878—31no—
82C2×#876—31no—
83C2×#875—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—24no—
94C2×D4×C9C2314yes—
95C22×C4×C9—42no—
96C22×C4×C9—42no—
97C22×C4×C9C2311yescharacteristic
98C22×C4×C9C2311yescharacteristic
99C22×C4×C9C2311yescharacteristic
100C22×C4×C9C2311yescharacteristic
101C22×C4×C9C2311yescharacteristic
102C22×C4×C9C2314yes—
103C22×C4×C9C2314yescomplemented
104C2×#611—24no—
105C2×#611—42no—
106C2×#611—42no—
107C2×#611—42no—
108C2×#611C2314yes—
109C2×#611C2314yes—
110C2×#611C2314yes—
111C2×#611C2314yescomplemented
112C22×Dic9—42no—
113C22×Dic9C2311yescharacteristic
114C22×Dic9C2311yescharacteristic
115C22×Dic9C2311yescharacteristic
116C22×Dic9C2311yescharacteristic
117C22×Dic9C2311yescharacteristic
118C22×Dic9C2314yes—
119C2×D36—42no—
120C2×D36—42no—
121C2×D36C2314yes—
122C2×D36C2314yes—
123C2×C4×D9—42no—
124C2×C4×D9C2314yescomplemented
125C2×Dic18—42no—
126C2×Dic18C2314yescomplemented
127C9×C4⋊C4C2314yescomplemented
128C9×C22⋊C4C2314yes—
129C9×C22⋊C4C2314yescomplemented
130C42×C9C2314yescomplemented
131#3676C2314yes—
132#3676C2314yescomplemented
133(C2×D9)⋊C4C2314yes—
134(C2×D9)⋊C4C2314yes—
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
144Dic9⋊C4C2314yescomplemented
145Dic9⋊C4C2314yescomplemented
146Dic9⋊C4C2314yescomplemented
147Dic9⋊C4C2314yescomplemented
148C4×Dic9C2314yescomplemented
149C2×#538—91noSylow
150C24×D3—31no—
151C22×C3×D4C2×D311yescharacteristic
152C23×C3×C4C2×D311yescharacteristic
153C23×C3×C4C2×D311yescharacteristic
154C22×#67—31no—
155C22×#67—31no—
156C22×#67—31no—
157C22×#67—31no—
158C23×Dic3—31no—
159C22×D12—31no—
160C22×D12—31no—
161C22×C4×D3—31no—
162C22×Dic6—31no—
163C3×C4×D4C2×D318yes—
164C2×C3×C4⋊C4C2×D311yescharacteristic
165C2×C3×C22⋊C4C2×D311yescharacteristic
166C2×C3×C22⋊C4C2×D311yescharacteristic
167C2×C3×C42C2×D311yescharacteristic
168C2×#217—31no—
169C2×#217—31no—
170#939—38no—
171#937—38no—
172#930—38no—
173#929—38no—
174C4×#67—38no—
175C2×(C2×D3)⋊C4—31no—
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×(C2×D3)⋊C4—31no—
185C2×(C2×D3)⋊C4—38no—
186C2×C4⋊Dic3—31no—
187C2×Dic3⋊C4—31no—
188C2×Dic3⋊C4—31no—
189C2×Dic3⋊C4—31no—
190C2×Dic3⋊C4—31no—
191C2×C4×Dic3—31no—
192#898—38no—
193#894—38no—
194#885—38no—
195#884—38no—
196#882—38no—
197#878—38no—
198#876—38no—
199#875—38no—
200C23×C9—22no—
201C23×C9—22no—
202C23×C9—22no—
203C23×C9—22no—
204C23×C9—22no—
205C23×C9#4114yes—
206C23×C9C2412yes—
207C23×C9C2412yes—
208C23×C9C2411yescharacteristic
209C22×D9—22no—
210C22×D9—28no—
211C22×D9—22no—
212C22×D9—22no—
213C22×D9—22no—
214C22×D9—22no—
215C22×D9—22no—
216C22×D9—22no—
217C22×D9—22no—
218C22×D9—22no—
219C22×D9—44no—
220C22×D9—44no—
221C22×D9—416no—
222C22×D9C2412yes—
223C22×D9C2412yes—
224C22×D9C2412yes—
225D4×C9—28no—
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×C9—44no—
233C2×C4×C9C2412yes—
234C2×C4×C9C2412yes—
235C2×C4×C9C2412yes—
236C2×C4×C9C2412yes—
237C2×C4×C9C2412yes—
238#611—28no—
239#611—44no—
240#611—44no—
241#611—44no—
242C2×Dic9—22no—
243C2×Dic9—22no—
244C2×Dic9—22no—
245C2×Dic9—22no—
246C2×Dic9—22no—
247C2×Dic9—44no—
248C2×Dic9C2412yes—
249C2×Dic9C2412yes—
250C2×Dic9C2412yes—
251C2×Dic9C2412yes—
252C2×Dic9C2412yes—
253D36—44no—
254D36—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×#123—91no—
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×D4D911yescharacteristic, complemented
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—24no—
283C2×C3×D4C22×D314yes—
284C22×C3×C4—42no—
285C22×C3×C4—42no—
286C22×C3×C4C22×D311yescharacteristic
287C22×C3×C4C22×D311yescharacteristic
288C22×C3×C4C22×D311yescharacteristic
289C22×C3×C4C22×D311yescharacteristic
290C22×C3×C4C22×D311yescharacteristic
291C22×C3×C4C22×D314yes—
292C22×C3×C4C22×D314yes—
293C2×#67—34no—
294C2×#67—34no—
295C2×#67—34no—
296C2×#67—34no—
297C2×#67—64no—
298C2×#67—122no—
299C2×#67—122no—
300C2×#67—122no—
301C22×Dic3—31no—
302C22×Dic3—31no—
303C22×Dic3—31no—
304C22×Dic3—31no—
305C22×Dic3—31no—
306C22×Dic3—34no—
307C22×Dic3—122no—
308C2×D12—34no—
309C2×D12—34no—
310C2×D12—122no—
311C2×D12—122no—
312C2×C4×D3—34no—
313C2×C4×D3—122no—
314C2×Dic6—34no—
315C2×Dic6—122no—
316C3×C4⋊C4C22×D314yes—
317C3×C22⋊C4C22×D314yes—
318C3×C22⋊C4C22×D314yes—
319C3×C42C22×D314yes—
320#217—34no—
321#217—34no—
322(C2×D3)⋊C4—34no—
323(C2×D3)⋊C4—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—
333Dic3⋊C4—34no—
334Dic3⋊C4—34no—
335Dic3⋊C4—34no—
336Dic3⋊C4—34no—
337C4×Dic3—34no—
338C22×C9—28no—
339C22×C9—22no—
340C22×C9—22no—
341C22×C9—22no—
342C22×C9—22no—
343C22×C9—22no—
344C22×C9—44no—
345C22×C9C2×#4114yes—
346C22×C9C2×#4112yes—
347C22×C9H(5,𝔽2)12yes—
348C22×C9H(5,𝔽2)12yes—
349C22×C9C2511yescharacteristic
350C2×D9—22no—
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×D9—44no—
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×C4C2×D911yescharacteristic
385C23×C4C2×D911yescharacteristic, complemented
386#126—98no—
387#126—98no—
388#124—98no—
389#124—98no—
390#123—98no—
391#123—98no—
392C22⋊Q8—98no—
393#121—98no—
394#121—98no—
395#121—98no—
396#120—98no—
397#120—98no—
398C4×D4—98no—
399C4×D4C2×D918yescomplemented
400C2×C4⋊C4—91no—
401C2×C4⋊C4—91no—
402C2×C4⋊C4—91no—
403C2×C4⋊C4—91no—
404C2×C4⋊C4—91no—
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—98no—
413C2×C22⋊C4—91no—
414C2×C22⋊C4—91no—
415C2×C22⋊C4—91no—
416C2×C22⋊C4—91no—
417C2×C22⋊C4—91no—
418C2×C22⋊C4—91no—
419C2×C22⋊C4C2×D911yescharacteristic
420C2×C22⋊C4C2×D911yescharacteristic, complemented
421C2×C42—91no—
422C2×C42C2×D911yescharacteristic, complemented
423C23×C3—22no—
424C23×C3—22no—
425C23×C3—22no—
426C23×C3—22no—
427C23×C3—22no—
428C23×C3#23514yes—
429C23×C3C23×D312yes—
430C23×C3C23×D312yes—
431C23×C3C23×D311yescharacteristic
432C22×D3—32no—
433C22×D3—32no—
434C22×D3—32no—
435C22×D3—62no—
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—28no—
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×C4—44no—
456C2×C3×C4C23×D312yes—
457C2×C3×C4C23×D312yes—
458C2×C3×C4C23×D312yes—
459C2×C3×C4C23×D312yes—
460C2×C3×C4C23×D312yes—
461#67—68no—
462#67—124no—
463#67—124no—
464#67—124no—
465C2×Dic3—32no—
466C2×Dic3—32no—
467C2×Dic3—32no—
468C2×Dic3—32no—
469C2×Dic3—32no—
470C2×Dic3—62no—
471C2×Dic3—62no—
472C2×Dic3—62no—
473C2×Dic3—62no—
474C2×Dic3—62no—
475C2×Dic3—124no—
476D12—124no—
477D12—124no—
478C4×D3—124no—
479Dic6—124no—
480C2×C9—24no—
481C2×C9—42no—
482C2×C9#53814yescomplemented
483C2×C9C22×#4111yescharacteristic
484C2×C9C2×H(5,𝔽2)11yescharacteristic
485C2×C9C2×H(5,𝔽2)11yescharacteristic
486D9—42no—
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—24no—
501C2×D4—94no—
502C2×D4—94no—
503C2×D4—94no—
504C2×D4—94no—
505C2×D4—94no—
506C2×D4—94no—
507C2×D4—184no—
508C2×D4—362no—
509C2×D4—362no—
510C2×D4—362no—
511C2×D4—362no—
512C2×D4—362no—
513C2×D4C22×D914yes—
514C22×C4—42no—
515C22×C4—42no—
516C22×C4—91no—
517C22×C4—91no—
518C22×C4—91no—
519C22×C4—91no—
520C22×C4—91no—
521C22×C4—94no—
522C22×C4—94no—
523C22×C4—362no—
524C22×C4—362no—
525C22×C4C22×D911yescharacteristic
526C22×C4C22×D911yescharacteristic
527C22×C4C22×D911yescharacteristic
528C22×C4C22×D911yescharacteristic
529C22×C4C22×D911yescharacteristic
530C22×C4C22×D914yes—
531C22×C4C22×D914yescomplemented
532C4⋊C4—94no—
533C4⋊C4—94no—
534C4⋊C4—94no—
535C4⋊C4—94no—
536C4⋊C4—94no—
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⋊C4—94no—
550C22⋊C4C22×D914yes—
551C22⋊C4C22×D914yescomplemented
552C42—94no—
553C42C22×D914yescomplemented
554C22×C3—22no—
555C22×C3—22no—
556C22×C3—28no—
557C22×C3—22no—
558C22×C3—22no—
559C22×C3—22no—
560C22×C3—44no—
561C22×C3C2×#23514yes—
562C22×C3C2×#23512yes—
563C22×C3#100412yes—
564C22×C3#100912yes—
565C22×C3C24×D311yescharacteristic
566C2×D3—62no—
567C2×D3—62no—
568C2×D3—62no—
569C2×D3—62no—
570C2×D3—62no—
571C2×D3—62no—
572C2×D3—62no—
573C2×D3—62no—
574C2×D3—62no—
575C2×D3—1216no—
576C2×D3—124no—
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—92no—
596C23—92no—
597C23—92no—
598C23—182no—
599C23—188no—
600C23—182no—
601C23—182no—
602C23—182no—
603C23—182no—
604C23—182no—
605C23—182no—
606C23—182no—
607C23—182no—
608C23—364no—
609C23—364no—
610C23—3616no—
611C23#369714yes—
612C23C23×D912yes—
613C23C23×D912yes—
614C23C23×D911yescharacteristic
615Q8—364no—
616D4—28no—
617D4—188no—
618D4—364no—
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—44no—
630C2×C4—92no—
631C2×C4—92no—
632C2×C4—92no—
633C2×C4—92no—
634C2×C4—92no—
635C2×C4—182no—
636C2×C4—182no—
637C2×C4—182no—
638C2×C4—182no—
639C2×C4—182no—
640C2×C4—364no—
641C2×C4—364no—
642C2×C4C23×D912yes—
643C2×C4C23×D912yes—
644C2×C4C23×D912yes—
645C2×C4C23×D912yes—
646C2×C4C23×D912yes—
647C2×C3—24no—
648C2×C3—42no—
649C2×C3#556014yes—
650C2×C3C22×#23511yescharacteristic
651C2×C3C2×#100411yescharacteristic
652C2×C3C2×#100911yescharacteristic
653D3—122no—
654D3—122no—
655D3—122no—
656C22—22no—
657C22—22no—
658C22—28no—
659C22—22no—
660C22—22no—
661C22—22no—
662C22—44no—
663C22—182no—
664C22—182no—
665C22—182no—
666C22—182no—
667C22—182no—
668C22—182no—
669C22—182no—
670C22—182no—
671C22—182no—
672C22—3616no—
673C22—364no—
674C22—364no—
675C22—364no—
676C22C2×#369714yes—
677C22C2×#369712yes—
678C22#6371012yes—
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×#556011yescharacteristic
692C2—24no—
693C2—42no—
694C2—362no—
695C2—362no—
696C2—362no—
697C2#1058966214yesdirect product factor
698C2C22×#369711yescharacteristic
699C2C2×#6371011yescharacteristic
700C2C2×#6371511yescharacteristic
subgroupG/H
centerC23C23×D9
commutator, cosocleC22×C9C25
FrattiniC22×C3C24×D3
FittingC2×C4×D4×C9C2
socleC23×C3C23×D3
hypercenterC2×C4×D4D9
hypocenterC9C2×#538
LCSG ▷ C22×C9 ▷ C9
UCSC1 ◁ C23 ◁ C2×C4×D4

Complements

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

NH ≅ G/Ntype
1. C2×C4×D4×C9C2semidirect
2. C2×#63501C2semidirect
3. C2×#63499C2semidirect
4. C2×#63492C2semidirect
5. C2×#63491C2semidirect
6. C2×C4×#611C2semidirect
7. C22×(C2×D9)⋊C4C2semidirect
8. #10589662C2direct (N × H)
9. C2×#63460C2semidirect
10. C2×#63456C2semidirect
11. C2×#63447C2semidirect
12. C2×#63446C2semidirect
13. C2×#63444C2semidirect
14. C2×#63440C2semidirect
15. C2×#63438C2semidirect
16. C2×#63437C2semidirect
21. C23×C4×C9C22semidirect
25. C22×#611C22semidirect
29. C22×C4×D9C22semidirect
30. C22×Dic18C22semidirect
31. C4×D4×C9C22semidirect
32. C2×C9×C4⋊C4C22semidirect
34. C2×C9×C22⋊C4C22semidirect
35. C2×C42×C9C22semidirect
37. C2×#3676C22semidirect
38. #63501C22semidirect
39. #63499C22semidirect
40. #63492C22semidirect
41. #63491C22semidirect
42. C4×#611C22semidirect
51. C2×(C2×D9)⋊C4C22semidirect
52. C2×(C2×D9)⋊C4C22semidirect
53. C2×(C2×D9)⋊C4C22semidirect
54. C2×C4⋊Dic9C22semidirect
55. C2×Dic9⋊C4C22semidirect
56. C2×Dic9⋊C4C22semidirect
57. C2×Dic9⋊C4C22semidirect
58. C2×Dic9⋊C4C22semidirect
59. C2×C4×Dic9C22semidirect
60. #63460C22semidirect
61. #63456C22semidirect
62. #63447C22semidirect
63. #63446C22semidirect
64. #63444C22semidirect
65. #63440C22semidirect
66. #63438C22semidirect
67. #63437C22semidirect
103. C22×C4×C9C23semidirect
111. C2×#611C23semidirect
124. C2×C4×D9C23semidirect
126. C2×Dic18C23semidirect
127. C9×C4⋊C4C23semidirect
129. C9×C22⋊C4C23semidirect
130. C42×C9C23semidirect
132. #3676C23semidirect
141. (C2×D9)⋊C4C23semidirect
142. (C2×D9)⋊C4C23semidirect
143. C4⋊Dic9C23semidirect
144. Dic9⋊C4C23semidirect
145. Dic9⋊C4C23semidirect
146. Dic9⋊C4C23semidirect
147. Dic9⋊C4C23semidirect
148. C4×Dic9C23semidirect
271. C2×C4×D4D9semidirect
385. C23×C4C2×D9semidirect
399. C4×D4C2×D9semidirect
405. C2×C4⋊C4C2×D9semidirect
420. C2×C22⋊C4C2×D9semidirect
422. C2×C42C2×D9semidirect
482. C2×C9#538semidirect
531. C22×C4C22×D9semidirect
537. C4⋊C4C22×D9semidirect
551. C22⋊C4C22×D9semidirect
553. C42C22×D9semidirect
589. C9C2×#538semidirect
697. C2#10589662direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C4×D4×C92
C2×#635012
C2×#634992
C2×#634922
C2×#634912
C2×C4×#6112
C22×(C2×D9)⋊C42
#105896622
C2×#634602
C2×#634562
C2×#634472
C2×#634462
C2×#634442
C2×#634402
C2×#634382
C2×#634372
C2×#55603