Finite Group Databasebeta

← C2×#10589757 #11902486

Subgroups — C2×#10589757 #11902486

Order 1152.

2448 conjugacy classes of subgroups.

The subgroup lattice has 696 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#3699C211yesmaximal, characteristic, complemented
2C22×#3697C211yesmaximal, characteristic, complemented
3C2×C9×#123C211yesmaximal, characteristic, complemented
4C2×#63501C211yesmaximal, characteristic, complemented
5C22×Dic9⋊C4C211yesmaximal, characteristic, complemented
6#10589757C2116yesmaximal, direct product factor
7C2×#63458C211yesmaximal, characteristic, complemented
8C2×#63456C211yesmaximal, characteristic, complemented
9C2×C4⋊C4×D9C211yesmaximal, characteristic, complemented
10C2×#63450C211yesmaximal, characteristic, complemented
11C2×#63448C211yesmaximal, characteristic, complemented
12C2×#63446C211yesmaximal, characteristic, complemented
13C2×#63445C211yesmaximal, characteristic, complemented
14C2×#611⋊C4C211yesmaximal, characteristic, complemented
15C2×#611⋊C4C211yesmaximal, characteristic, complemented
16C2×#63440C211yesmaximal, characteristic, complemented
17C2×#5655—31nomaximal
18C22×D4×C9C2211yescharacteristic
19C23×C4×C9C2211yescharacteristic
20C22×#611C2211yescharacteristic
21C22×#611C2211yescharacteristic
22C22×#611C2211yescharacteristic
23C22×#611C2211yescharacteristic
24C23×Dic9C2211yescharacteristic
25C23×Dic9C2211yescharacteristic
26C23×Dic9C2211yescharacteristic
27C2×#3699—28no—
28C2×#3699C2218yescomplemented
29C2×#3697—28no—
30C2×#3697C2218yescomplemented
31C22×D36C2211yescharacteristic
32C22×C4×D9C2211yescharacteristic
33C22×C4×D9C2211yescharacteristic
34C22×C4×D9C2211yescharacteristic
35C22×C4×D9C2211yescharacteristic
36C22×Dic18C2211yescharacteristic
37C22×Dic18C2211yescharacteristic
38C9×#123C2218yescomplemented
39C2×C9×C4⋊C4C2211yescharacteristic
40C2×C9×C4⋊C4C2211yescharacteristic
41C2×C9×C22⋊C4C2211yescharacteristic
42C2×C9×C22⋊C4C2211yescharacteristic
43C2×C9×C22⋊C4C2211yescharacteristic
44C2×#3676C2211yescharacteristic
45#63501C2218yescomplemented
46C2×(C2×D9)⋊C4C2211yescharacteristic
47C2×(C2×D9)⋊C4C2211yescharacteristic
48C2×(C2×D9)⋊C4C2211yescharacteristic
49C2×(C2×D9)⋊C4C2211yescharacteristic
50C2×C4⋊Dic9C2211yescharacteristic
51C2×C4⋊Dic9C2211yescharacteristic
52C2×Dic9⋊C4C2211yescharacteristic
53C2×Dic9⋊C4C2211yescharacteristic
54C2×Dic9⋊C4C2211yescharacteristic
55C2×Dic9⋊C4C2211yescharacteristic
56C2×Dic9⋊C4C2211yescharacteristic
57C2×Dic9⋊C4C2211yescharacteristic
58C2×Dic9⋊C4C2218yescomplemented
59C2×C4×Dic9C2211yescharacteristic
60#63458C2218yescomplemented
61#63456C2218yescomplemented
62C4⋊C4×D9C2218yescomplemented
63#63450C2218yescomplemented
64#63448C2218yescomplemented
65#63446C2218yescomplemented
66#63445C2218yescomplemented
67#611⋊C4C2218yescomplemented
68#611⋊C4C2218yescomplemented
69#63440C2218yescomplemented
70C22×#237—31no—
71C22×#235—31no—
72C2×C3×#123D311yescharacteristic
73C2×#939—31no—
74C22×Dic3⋊C4—31no—
75#5655—316no—
76C2×#896—31no—
77C2×#894—31no—
78C2×D3×C4⋊C4—31no—
79C2×#888—31no—
80C2×#886—31no—
81C2×#884—31no—
82C2×#883—31no—
83C2×#67⋊C4—31no—
84C2×#67⋊C4—31no—
85C2×#878—31no—
86C24×C9C2311yescharacteristic
87C24×C9C2311yescharacteristic
88C23×D9C2311yescharacteristic
89C23×D9C2311yescharacteristic
90C2×D4×C9—24no—
91C2×D4×C9C2314yes—
92C22×C4×C9—24no—
93C22×C4×C9C2311yescharacteristic
94C22×C4×C9C2311yescharacteristic
95C22×C4×C9C2311yescharacteristic
96C22×C4×C9C2311yescharacteristic
97C22×C4×C9C2311yescharacteristic
98C22×C4×C9C2314yes—
99C2×#611—24no—
100C2×#611—24no—
101C2×#611—24no—
102C2×#611D418yescomplemented
103C2×#611C2314yes—
104C2×#611C2314yes—
105C2×#611C2314yes—
106C2×#611C2314yes—
107C22×Dic9—24no—
108C22×Dic9—24no—
109C22×Dic9—24no—
110C22×Dic9C2311yescharacteristic
111C22×Dic9C2311yescharacteristic
112C22×Dic9C2311yescharacteristic
113C22×Dic9C2314yes—
114C22×Dic9C2311yescharacteristic
115C22×Dic9C2314yes—
116C22×Dic9C2314yes—
117C22×Dic9C2311yescharacteristic
118C22×Dic9C2311yescharacteristic
119#3699—232no—
120#3697—232no—
121C2×D36—24no—
122C2×D36C2314yes—
123C2×C4×D9—24no—
124C2×C4×D9—24no—
125C2×C4×D9—24no—
126C2×C4×D9—24no—
127C2×C4×D9C2314yes—
128C2×C4×D9C2314yes—
129C2×C4×D9C2314yes—
130C2×C4×D9C2314yes—
131C2×Dic18—24no—
132C2×Dic18—24no—
133C2×Dic18C2314yes—
134C2×Dic18C2314yes—
135C9×C4⋊C4C2314yes—
136C9×C4⋊C4C2314yes—
137C9×C22⋊C4C2314yes—
138C9×C22⋊C4C2314yes—
139C9×C22⋊C4C2314yes—
140#3676C2314yes—
141(C2×D9)⋊C4C2314yes—
142(C2×D9)⋊C4C2314yes—
143(C2×D9)⋊C4C2314yes—
144(C2×D9)⋊C4C2314yes—
145C4⋊Dic9C2314yes—
146C4⋊Dic9C2314yes—
147Dic9⋊C4C2314yes—
148Dic9⋊C4C2314yes—
149Dic9⋊C4C2314yes—
150Dic9⋊C4C2314yes—
151Dic9⋊C4C2314yes—
152Dic9⋊C4C2314yes—
153C4×Dic9C2314yes—
154C2×#547—91noSylow
155C22×C3×D4C2×D311yescharacteristic
156C23×C3×C4C2×D311yescharacteristic
157C22×#67—31no—
158C22×#67—31no—
159C22×#67—31no—
160C22×#67—31no—
161C23×Dic3—31no—
162C23×Dic3—31no—
163C23×Dic3—31no—
164C2×#237—38no—
165C2×#237—68no—
166C2×#235—38no—
167C2×#235—68no—
168C22×D12—31no—
169C22×C4×D3—31no—
170C22×C4×D3—31no—
171C22×C4×D3—31no—
172C22×C4×D3—31no—
173C22×Dic6—31no—
174C22×Dic6—31no—
175C3×#123C2×D318yes—
176C2×C3×C4⋊C4C2×D311yescharacteristic
177C2×C3×C4⋊C4C2×D311yescharacteristic
178C2×C3×C22⋊C4C2×D311yescharacteristic
179C2×C3×C22⋊C4C2×D311yescharacteristic
180C2×C3×C22⋊C4C2×D311yescharacteristic
181C2×#217—31no—
182#939—38no—
183C2×(C2×D3)⋊C4—31no—
184C2×(C2×D3)⋊C4—31no—
185C2×(C2×D3)⋊C4—31no—
186C2×(C2×D3)⋊C4—31no—
187C2×C4⋊Dic3—31no—
188C2×C4⋊Dic3—31no—
189C2×Dic3⋊C4—38no—
190C2×Dic3⋊C4—31no—
191C2×Dic3⋊C4—31no—
192C2×Dic3⋊C4—31no—
193C2×Dic3⋊C4—31no—
194C2×Dic3⋊C4—31no—
195C2×Dic3⋊C4—31no—
196C2×C4×Dic3—31no—
197#896—38no—
198#894—38no—
199D3×C4⋊C4—38no—
200#888—38no—
201#886—38no—
202#884—38no—
203#883—38no—
204#67⋊C4—38no—
205#67⋊C4—38no—
206#878—38no—
207C23×C9—22no—
208C23×C9—22no—
209C23×C9—22no—
210C23×C9—22no—
211C23×C9—22no—
212C23×C9C2×D414yes—
213C23×C9C2412yes—
214C23×C9C2412yes—
215C23×C9C2411yescharacteristic
216C22×D9—22no—
217C22×D9—22no—
218C22×D9—22no—
219C22×D9—22no—
220C22×D9—22no—
221C22×D9C2×D414yes—
222C22×D9C2412yes—
223C22×D9C2412yes—
224D4×C9—28no—
225C2×C4×C9—22no—
226C2×C4×C9—22no—
227C2×C4×C9—22no—
228C2×C4×C9—28no—
229C2×C4×C9—22no—
230C2×C4×C9—22no—
231C2×C4×C9C2412yes—
232C2×C4×C9C2412yes—
233C2×C4×C9C2412yes—
234C2×C4×C9C2412yes—
235C2×C4×C9C2412yes—
236#611—28no—
237#611—28no—
238#611—28no—
239#611C2×D4116yescomplemented
240C2×Dic9—22no—
241C2×Dic9—22no—
242C2×Dic9—22no—
243C2×Dic9—28no—
244C2×Dic9—22no—
245C2×Dic9—28no—
246C2×Dic9—28no—
247C2×Dic9C2×D414yes—
248C2×Dic9#4114yescomplemented
249C2×Dic9C2412yes—
250C2×Dic9C2412yes—
251C2×Dic9C2412yes—
252C2×Dic9C2412yes—
253C2×Dic9C2412yes—
254C2×Dic9C2412yes—
255D36—28no—
256C4×D9—28no—
257C4×D9—28no—
258C4×D9—28no—
259C4×D9—28no—
260Dic18—28no—
261Dic18—28no—
262C22×#41—91no—
263C22×#41—91no—
264#547—916no—
265C2×C4⋊Q8—91no—
266C2×#123—91no—
267C2×#123—91no—
268C2×#123—91no—
269C2×#123D911yescharacteristic, complemented
270C2×C22⋊Q8—91no—
271C2×C22⋊Q8—91no—
272C2×#121—91no—
273C2×#121—91no—
274C2×C4×D4—91no—
275C2×C4×D4—91no—
276C22×C4⋊C4—91no—
277C22×C4⋊C4—91no—
278C24×C3C22×D311yescharacteristic
279C24×C3C22×D311yescharacteristic
280C23×D3—31no—
281C23×D3—31no—
282C2×C3×D4—24no—
283C2×C3×D4C22×D314yes—
284C22×C3×C4—24no—
285C22×C3×C4C22×D311yescharacteristic
286C22×C3×C4C22×D311yescharacteristic
287C22×C3×C4C22×D311yescharacteristic
288C22×C3×C4C22×D314yes—
289C22×C3×C4C22×D311yescharacteristic
290C22×C3×C4C22×D311yescharacteristic
291C2×#67—38no—
292C2×#67—34no—
293C2×#67—34no—
294C2×#67—34no—
295C2×#67—34no—
296C2×#67—64no—
297C2×#67—64no—
298C2×#67—64no—
299C22×Dic3—31no—
300C22×Dic3—31no—
301C22×Dic3—34no—
302C22×Dic3—34no—
303C22×Dic3—34no—
304C22×Dic3—31no—
305C22×Dic3—31no—
306C22×Dic3—31no—
307C22×Dic3—31no—
308C22×Dic3—64no—
309C22×Dic3—64no—
310C22×Dic3—64no—
311#237—632no—
312#235—632no—
313C2×D12—34no—
314C2×D12—64no—
315C2×C4×D3—34no—
316C2×C4×D3—34no—
317C2×C4×D3—34no—
318C2×C4×D3—34no—
319C2×C4×D3—64no—
320C2×C4×D3—64no—
321C2×C4×D3—64no—
322C2×C4×D3—64no—
323C2×Dic6—34no—
324C2×Dic6—34no—
325C2×Dic6—64no—
326C2×Dic6—64no—
327C3×C4⋊C4C22×D314yes—
328C3×C4⋊C4C22×D314yes—
329C3×C22⋊C4C22×D314yes—
330C3×C22⋊C4C22×D314yes—
331C3×C22⋊C4C22×D314yes—
332#217—34no—
333(C2×D3)⋊C4—34no—
334(C2×D3)⋊C4—34no—
335(C2×D3)⋊C4—34no—
336(C2×D3)⋊C4—34no—
337C4⋊Dic3—34no—
338C4⋊Dic3—34no—
339Dic3⋊C4—34no—
340Dic3⋊C4—34no—
341Dic3⋊C4—34no—
342Dic3⋊C4—34no—
343Dic3⋊C4—34no—
344Dic3⋊C4—34no—
345C4×Dic3—34no—
346C22×C9—28no—
347C22×C9—22no—
348C22×C9—22no—
349C22×C9—22no—
350C22×C9—22no—
351C22×C9—22no—
352C22×C9—44no—
353C22×C9C22×D414yes—
354C22×C9C22×D412yes—
355C22×C9C2×#4112yes—
356C22×C92−1+412yes—
357C22×C9C2511yescharacteristic
358C2×D9—28no—
359C2×D9—22no—
360C2×D9—22no—
361C2×D9—22no—
362C2×D9—22no—
363C2×D9—22no—
364C2×D9—44no—
365C2×D9C22×D414yes—
366C4×C9—22no—
367C4×C9—22no—
368C4×C9—22no—
369C4×C9—22no—
370C4×C9—22no—
371Dic9—22no—
372Dic9—22no—
373Dic9—22no—
374Dic9—22no—
375Dic9C22×D414yes—
376Dic9C2×#4114yescomplemented
377C2×#41—98no—
378C2×#41—98no—
379C2×#41—188no—
380C2×#41—188no—
381C22×Q8—91no—
382C22×Q8—91no—
383C22×D4—91no—
384C22×D4—91no—
385C22×D4—91no—
386C22×D4—91no—
387C22×D4—91no—
388C22×D4C2×D911yescharacteristic
389C23×C4—91no—
390C23×C4—91no—
391C23×C4—91no—
392C23×C4—91no—
393C23×C4—91no—
394C23×C4—91no—
395C23×C4—91no—
396C23×C4C2×D911yescharacteristic
397C4⋊Q8—98no—
398#123—98no—
399#123—98no—
400#123—98no—
401#123C2×D918yescomplemented
402C22⋊Q8—98no—
403C22⋊Q8—98no—
404#121—98no—
405#121—98no—
406C4×D4—98no—
407C4×D4—98no—
408C2×C4⋊C4—91no—
409C2×C4⋊C4—91no—
410C2×C4⋊C4—91no—
411C2×C4⋊C4—91no—
412C2×C4⋊C4—91no—
413C2×C4⋊C4—91no—
414C2×C4⋊C4—98no—
415C2×C4⋊C4—91no—
416C2×C4⋊C4—91no—
417C2×C4⋊C4—98no—
418C2×C4⋊C4C2×D911yescharacteristic
419C2×C4⋊C4C2×D911yescharacteristic
420C2×C22⋊C4—91no—
421C2×C22⋊C4—91no—
422C2×C22⋊C4—91no—
423C2×C22⋊C4—91no—
424C2×C22⋊C4—91no—
425C2×C22⋊C4C2×D911yescharacteristic
426C2×C22⋊C4C2×D911yescharacteristic
427C2×C22⋊C4C2×D911yescharacteristic
428C2×C42—91no—
429C23×C3—22no—
430C23×C3—22no—
431C23×C3—22no—
432C23×C3—22no—
433C23×C3—22no—
434C23×C3D3×D414yes—
435C23×C3C23×D312yes—
436C23×C3C23×D312yes—
437C23×C3C23×D311yescharacteristic
438C22×D3—34no—
439C22×D3—32no—
440C22×D3—32no—
441C22×D3—62no—
442C22×D3—62no—
443C22×D3—62no—
444C22×D3—62no—
445C22×D3—62no—
446C3×D4—28no—
447C2×C3×C4—22no—
448C2×C3×C4—22no—
449C2×C3×C4—22no—
450C2×C3×C4—28no—
451C2×C3×C4—22no—
452C2×C3×C4—22no—
453C2×C3×C4C23×D312yes—
454C2×C3×C4C23×D312yes—
455C2×C3×C4C23×D312yes—
456C2×C3×C4C23×D312yes—
457C2×C3×C4C23×D312yes—
458#67—316no—
459#67—68no—
460#67—68no—
461#67—68no—
462C2×Dic3—34no—
463C2×Dic3—34no—
464C2×Dic3—32no—
465C2×Dic3—32no—
466C2×Dic3—32no—
467C2×Dic3—32no—
468C2×Dic3—32no—
469C2×Dic3—32no—
470C2×Dic3—68no—
471C2×Dic3—68no—
472C2×Dic3—62no—
473C2×Dic3—62no—
474C2×Dic3—62no—
475C2×Dic3—68no—
476C2×Dic3—62no—
477D12—68no—
478C4×D3—68no—
479C4×D3—68no—
480C4×D3—68no—
481C4×D3—68no—
482Dic6—68no—
483Dic6—68no—
484C2×C9—24no—
485C2×C9—42no—
486C2×C9#54714yescomplemented
487C2×C9C23×D411yescharacteristic
488C2×C9C22×#4111yescharacteristic
489C2×C9C2×2−1+411yescharacteristic
490D9—24no—
491D9—42no—
492C24—91no—
493C24—91no—
494C24C22×D911yescharacteristic
495C24C22×D911yescharacteristic
496#41—1832no—
497#41—1832no—
498C2×Q8—94no—
499C2×Q8—94no—
500C2×Q8—184no—
501C2×Q8—184no—
502C2×D4—24no—
503C2×D4—98no—
504C2×D4—94no—
505C2×D4—94no—
506C2×D4—94no—
507C2×D4—94no—
508C2×D4—94no—
509C2×D4—184no—
510C2×D4—184no—
511C2×D4—184no—
512C2×D4—184no—
513C2×D4C22×D914yes—
514C22×C4—24no—
515C22×C4—91no—
516C22×C4—91no—
517C22×C4—94no—
518C22×C4—94no—
519C22×C4—94no—
520C22×C4—91no—
521C22×C4—91no—
522C22×C4—91no—
523C22×C4—91no—
524C22×C4—94no—
525C22×C4—94no—
526C22×C4—94no—
527C22×C4—94no—
528C22×C4—184no—
529C22×C4—184no—
530C22×C4—184no—
531C22×C4—184no—
532C22×C4—184no—
533C22×C4—184no—
534C22×C4—184no—
535C22×C4C22×D914yes—
536C22×C4C22×D911yescharacteristic
537C22×C4C22×D911yescharacteristic
538C22×C4C22×D911yescharacteristic
539C22×C4C22×D911yescharacteristic
540C22×C4C22×D911yescharacteristic
541C4⋊C4—94no—
542C4⋊C4—94no—
543C4⋊C4—94no—
544C4⋊C4—94no—
545C4⋊C4—94no—
546C4⋊C4—94no—
547C4⋊C4—94no—
548C4⋊C4—94no—
549C4⋊C4C22×D914yes—
550C4⋊C4C22×D914yes—
551C22⋊C4—94no—
552C22⋊C4—94no—
553C22⋊C4—94no—
554C22⋊C4—94no—
555C22⋊C4—94no—
556C22⋊C4C22×D914yes—
557C22⋊C4C22×D914yes—
558C22⋊C4C22×D914yes—
559C42—94no—
560C22×C3—28no—
561C22×C3—22no—
562C22×C3—22no—
563C22×C3—22no—
564C22×C3—22no—
565C22×C3—22no—
566C22×C3—44no—
567C22×C3C2×D3×D414yes—
568C22×C3C2×D3×D412yes—
569C22×C3D3×#4112yes—
570C22×C3#101012yes—
571C22×C3C24×D311yescharacteristic
572C2×D3—34no—
573C2×D3—68no—
574C2×D3—62no—
575C2×D3—62no—
576C2×D3—62no—
577C2×D3—62no—
578C2×D3—62no—
579C2×D3—124no—
580C3×C4—22no—
581C3×C4—22no—
582C3×C4—22no—
583C3×C4—22no—
584C3×C4—22no—
585Dic3—34no—
586Dic3—34no—
587Dic3—62no—
588Dic3—62no—
589Dic3—62no—
590Dic3—62no—
591C9C2×#54711yescharacteristic, complemented, Sylow
592C23—22no—
593C23—22no—
594C23—22no—
595C23—22no—
596C23—22no—
597C23—92no—
598C23—94no—
599C23—92no—
600C23—182no—
601C23—182no—
602C23—182no—
603C23—182no—
604C23—182no—
605C23D4×D914yes—
606C23C23×D912yes—
607C23C23×D912yes—
608C23C23×D911yescharacteristic
609Q8—188no—
610Q8—188no—
611D4—28no—
612D4—916no—
613D4—188no—
614D4—188no—
615D4—188no—
616D4—188no—
617C2×C4—22no—
618C2×C4—22no—
619C2×C4—28no—
620C2×C4—22no—
621C2×C4—22no—
622C2×C4—22no—
623C2×C4—92no—
624C2×C4—92no—
625C2×C4—94no—
626C2×C4—94no—
627C2×C4—92no—
628C2×C4—92no—
629C2×C4—92no—
630C2×C4—92no—
631C2×C4—188no—
632C2×C4—188no—
633C2×C4—188no—
634C2×C4—188no—
635C2×C4—188no—
636C2×C4—188no—
637C2×C4—182no—
638C2×C4—182no—
639C2×C4—182no—
640C2×C4—188no—
641C2×C4—182no—
642C2×C4C23×D912yes—
643C2×C4C23×D912yes—
644C2×C4C23×D912yes—
645C2×C4C23×D912yes—
646C2×C4C23×D912yes—
647C2×C3—24no—
648C2×C3—42no—
649C2×C3#565514yes—
650C2×C3C22×D3×D411yescharacteristic
651C2×C3C2×D3×#4111yescharacteristic
652C2×C3C2×#101011yescharacteristic
653D3—64no—
654D3—122no—
655C22—28no—
656C22—22no—
657C22—22no—
658C22—22no—
659C22—22no—
660C22—22no—
661C22—44no—
662C22—94no—
663C22—188no—
664C22—182no—
665C22—182no—
666C22—182no—
667C22—182no—
668C22—182no—
669C22—364no—
670C22C2×D4×D914yes—
671C22C2×D4×D912yes—
672C22#41×D912yes—
673C22#6371612yes—
674C22C24×D911yescharacteristic
675C4—22no—
676C4—22no—
677C4—22no—
678C4—22no—
679C4—22no—
680C4—94no—
681C4—94no—
682C4—182no—
683C4—182no—
684C4—182no—
685C4—182no—
686C3C2×#565511yescharacteristic
687C2—24no—
688C2—42no—
689C2—184no—
690C2—362no—
691C2#1058975714yesdirect product factor
692C2C22×D4×D911yescharacteristic
693C2C2×#41×D911yescharacteristic
694C2C2×#6371611yescharacteristic
subgroupG/H
centerC23C23×D9
commutator, cosocleC22×C9C25
FrattiniC22×C3C24×D3
FittingC2×C9×#123C2
socleC23×C3C23×D3
hypercenterC2×#123D9
hypocenterC9C2×#547
LCSG ▷ C22×C9 ▷ C9
UCSC1 ◁ C23 ◁ C2×#123

Complements

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

NH ≅ G/Ntype
1. C22×#3699C2semidirect
2. C22×#3697C2semidirect
3. C2×C9×#123C2semidirect
4. C2×#63501C2semidirect
5. C22×Dic9⋊C4C2semidirect
6. #10589757C2direct (N × H)
7. C2×#63458C2semidirect
8. C2×#63456C2semidirect
9. C2×C4⋊C4×D9C2semidirect
10. C2×#63450C2semidirect
11. C2×#63448C2semidirect
12. C2×#63446C2semidirect
13. C2×#63445C2semidirect
14. C2×#611⋊C4C2semidirect
15. C2×#611⋊C4C2semidirect
16. C2×#63440C2semidirect
28. C2×#3699C22semidirect
30. C2×#3697C22semidirect
38. C9×#123C22semidirect
45. #63501C22semidirect
58. C2×Dic9⋊C4C22semidirect
60. #63458C22semidirect
61. #63456C22semidirect
62. C4⋊C4×D9C22semidirect
63. #63450C22semidirect
64. #63448C22semidirect
65. #63446C22semidirect
66. #63445C22semidirect
67. #611⋊C4C22semidirect
68. #611⋊C4C22semidirect
69. #63440C22semidirect
102. C2×#611D4semidirect
239. #611C2×D4semidirect
248. C2×Dic9#41semidirect
269. C2×#123D9semidirect
376. Dic9C2×#41semidirect
401. #123C2×D9semidirect
486. C2×C9#547semidirect
591. C9C2×#547semidirect
691. C2#10589757direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#36992
C22×#36972
C2×C9×#1232
C2×#635012
C22×Dic9⋊C42
#105897572
C2×#634582
C2×#634562
C2×C4⋊C4×D92
C2×#634502
C2×#634482
C2×#634462
C2×#634452
C2×#611⋊C42
C2×#634402
C2×#56553