Finite Group Databasebeta

← C2×#10595136 #11902564

Subgroups — C2×#10595136 #11902564

Order 1152.

3477 conjugacy classes of subgroups.

The subgroup lattice has 716 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#3804C212yesmaximal, complemented
2C2×#64147C211yesmaximal, characteristic, complemented
3C2×C3×#938C211yesmaximal, characteristic, complemented
4C2×C3×D4×Dic3C211yesmaximal, characteristic, complemented
5C2×#63975C212yesmaximal, complemented
6C2×#63969C212yesmaximal, complemented
7C2×#63964C212yesmaximal, complemented
8#10595136C2116yesmaximal, direct product factor
9C2×#63918C211yesmaximal, characteristic, complemented
10C2×C4×#626C211yesmaximal, characteristic, complemented
11C2×#63900C211yesmaximal, characteristic, complemented
12C2×D3×C4⋊Dic3C211yesmaximal, characteristic, complemented
13C2×#5611—31nomaximal
14C2×#5551—31nomaximal
15C22×C32×D4C2211yescharacteristic
16C22×#638C2212yes—
17C22×C4×C3⋊D3C2211yescharacteristic
18C22×C3×#67C2212yes—
19C23×C3×Dic3C2212yes—
20C22×C3×C4×D3C2211yescharacteristic
21C22×#627C2212yes—
22C22×#626C2211yescharacteristic
23C22×#624C2212yes—
24C2×#3804—216no—
25C2×#3804C22116yescomplemented
26C22×D3×Dic3C2212yes—
27C2×#3757C2212yes—
28#64147C2218yescomplemented
29C2×C4⋊(C3⋊Dic3)C2211yescharacteristic
30C2×C3×#217C2212yes—
31C2×C3×#217C2212yes—
32C3×#938C2218yescomplemented
33C3×D4×Dic3C2218yescomplemented
34C2×C3×C4⋊Dic3C2211yescharacteristic
35C2×C3×C4⋊Dic3C2211yescharacteristic
36C2×C3×C4×Dic3C2211yescharacteristic
37#63975C22116yescomplemented
38#63969C22116yescomplemented
39C2×#3724C2212yes—
40C2×Dic3⋊Dic3C2212yes—
41C2×Dic3⋊Dic3C2211yescharacteristic
42C2×Dic3⋊Dic3C2212yes—
43#63964C22116yescomplemented
44C2×#3722C2211yescharacteristic
45C2×(C2×D3)⋊Dic3C2211yescharacteristic
46#63918C2218yescomplemented
47C4×#626C2218yescomplemented
48#63900C2218yescomplemented
49D3×C4⋊Dic3C2218yescomplemented
50C22×#237—32no—
51C22×#235—32no—
52C2×C3×#121—31no—
53C2×C3×C4×D4—31no—
54C2×#938—31no—
55C2×#938—31no—
56C2×#938—61no—
57C2×#938D311yescharacteristic, complemented
58C2×#935—32no—
59C2×D4×Dic3D311yescharacteristic, complemented
60C2×C4×#67—31no—
61C22×C4⋊Dic3—31no—
62C2×#924—32no—
63#5611—316no—
64#5551—316no—
65C2×D3×C4⋊C4—31no—
66C2×D3×C4⋊C4—31no—
67C2×D3×C4⋊C4—31no—
68C2×#888—31no—
69C2×#883—32no—
70C2×#883—32no—
71C2×#883—32no—
72C2×#878—32no—
73C2×C4×D12—31no—
74C2×#869—31no—
75C24×C32C2312yes—
76C23×C3⋊D3C2311yescharacteristic
77C23×C3×D3C2311yescharacteristic
78C2×C32×D4—24no—
79C2×C32×D4C2314yes—
80C22×C32×C4C2311yescharacteristic
81C2×#638—28no—
82C2×#638C2318yes—
83C22×C3⋊Dic3C2312yes—
84C22×C3⋊Dic3C2311yescharacteristic
85C2×C4×C3⋊D3—24no—
86C2×C4×C3⋊D3C2314yes—
87C2×C3×#67—28no—
88C2×C3×#67C2318yes—
89C22×C3×Dic3—28no—
90C22×C3×Dic3C2311yescharacteristic
91C22×C3×Dic3C2312yes—
92C22×C3×Dic3C2312yes—
93C22×C3×Dic3C2318yes—
94C22×C3×Dic3C2311yescharacteristic
95C22×C3×Dic3C2311yescharacteristic
96C2×C3×C4×D3—24no—
97C2×C3×C4×D3C2314yes—
98C2×#627—28no—
99C2×#627C2318yes—
100C2×#626D418yescomplemented
101C2×#626C2314yes—
102C2×#624—28no—
103C2×#624C2318yes—
104#3804—264no—
105C2×D3×Dic3—28no—
106C2×D3×Dic3C2318yes—
107#3757C2318yes—
108C4⋊(C3⋊Dic3)C2314yes—
109C3×#217C2318yes—
110C3×#217C2318yes—
111C3×C4⋊Dic3C2314yes—
112C3×C4⋊Dic3C2314yes—
113C3×C4×Dic3C2314yes—
114#3724C2318yes—
115Dic3⋊Dic3C2318yes—
116Dic3⋊Dic3C2314yes—
117Dic3⋊Dic3C2318yes—
118#3722C2314yes—
119(C2×D3)⋊Dic3C2314yes—
120C2×#547—91noSylow
121C22×C3×D4—21no—
122C22×C3×D4—32no—
123C22×C3×D4C2×D311yescharacteristic
124C22×C3×D4C2×D311yescharacteristic
125C23×C3×C4—32no—
126C23×C3×C4—31no—
127C22×#67—32no—
128C22×#67—32no—
129C22×#67—31no—
130C22×#67—62no—
131C22×#67C2×D312yes—
132C23×Dic3—32no—
133C23×Dic3C2×D312yes—
134C2×#237—316no—
135C2×#237—616no—
136C2×#235—316no—
137C2×#235—616no—
138C22×D12—31no—
139C22×C4×D3—32no—
140C22×C4×D3—31no—
141C22×C4×D3—31no—
142C22×C4×D3—32no—
143C22×C4×D3—32no—
144C22×C4×D3—61no—
145C22×C4×D3C2×D311yescharacteristic
146C22×Dic6—32no—
147C22×Dic6—32no—
148C3×#121—38no—
149C3×C4×D4—38no—
150C2×C3×C4⋊C4—31no—
151C2×C3×C4⋊C4—31no—
152C2×C3×C22⋊C4—32no—
153C2×C3×C22⋊C4—32no—
154C2×C3×C42—31no—
155C2×#217—32no—
156C2×#217—32no—
157C2×#217—31no—
158C2×#217—62no—
159C2×#217C2×D312yes—
160C2×#217C2×D312yes—
161#938—38no—
162#938—38no—
163#938—68no—
164#938C2×D318yescomplemented
165#935—316no—
166D4×Dic3C2×D318yescomplemented
167C4×#67—38no—
168C2×(C2×D3)⋊C4—31no—
169C2×(C2×D3)⋊C4—31no—
170C2×(C2×D3)⋊C4—31no—
171C2×C4⋊Dic3—31no—
172C2×C4⋊Dic3—31no—
173C2×C4⋊Dic3—32no—
174C2×C4⋊Dic3—31no—
175C2×C4⋊Dic3—32no—
176C2×C4⋊Dic3—38no—
177C2×C4⋊Dic3—61no—
178C2×C4⋊Dic3C2×D311yescharacteristic
179C2×C4⋊Dic3C2×D311yescharacteristic
180#924—316no—
181C2×Dic3⋊C4—31no—
182C2×Dic3⋊C4—32no—
183C2×Dic3⋊C4—32no—
184C2×Dic3⋊C4—32no—
185C2×Dic3⋊C4—32no—
186C2×C4×Dic3C2×D311yescharacteristic
187D3×C4⋊C4—38no—
188D3×C4⋊C4—38no—
189D3×C4⋊C4—38no—
190#888—38no—
191#883—316no—
192#883—316no—
193#883—316no—
194#878—316no—
195C4×D12—38no—
196#869—38no—
197C23×C32—24no—
198C23×C32—24no—
199C23×C32—24no—
200C23×C32C2414yes—
201C23×C32C2411yescharacteristic
202C22×C3⋊D3—22no—
203C22×C3⋊D3—22no—
204C22×C3⋊D3C2×D414yes—
205C22×C3⋊D3C2412yes—
206C22×C3×D3—22no—
207C22×C3×D3—22no—
208C22×C3×D3C2×D414yes—
209C22×C3×D3C2412yes—
210C32×D4—28no—
211C2×C32×C4#4114yescomplemented
212C2×C32×C4C2412yes—
213#638—216no—
214C2×C3⋊Dic3—24no—
215C2×C3⋊Dic3—22no—
216C2×C3⋊Dic3C2412yes—
217C2×C3⋊Dic3C2414yes—
218C4×C3⋊D3—28no—
219C3×#67—216no—
220C2×C3×Dic3—24no—
221C2×C3×Dic3—24no—
222C2×C3×Dic3—22no—
223C2×C3×Dic3—22no—
224C2×C3×Dic3—216no—
225C2×C3×Dic3C2×D414yes—
226C2×C3×Dic3C2412yes—
227C2×C3×Dic3C2412yes—
228C2×C3×Dic3C2414yes—
229C2×C3×Dic3C2414yes—
230C2×C3×Dic3C2412yes—
231C3×C4×D3—28no—
232#627—216no—
233#626C2×D4116yescomplemented
234#624—216no—
235D3×Dic3—216no—
236C22×#41—92no—
237#547—916no—
238C2×C4⋊Q8—91no—
239C2×#123—92no—
240C2×#123—92no—
241C2×C22⋊Q8—92no—
242C2×#121—31no—
243C2×#121—91no—
244C2×C4×D4—31no—
245C2×C4×D4—91no—
246C22×C4⋊C4—91no—
247C22×C4⋊C4—91no—
248C24×C3—22no—
249C24×C3—31no—
250C24×C3C22×D312yes—
251C24×C3C22×D312yes—
252C23×D3—31no—
253C23×D3—31no—
254C23×D3—61no—
255C23×D3C22×D311yescharacteristic
256C2×C3×D4—24no—
257C2×C3×D4—24no—
258C2×C3×D4—24no—
259C2×C3×D4—38no—
260C2×C3×D4—44no—
261C2×C3×D4—68no—
262C2×C3×D4C22×D314yes—
263C2×C3×D4C22×D314yes—
264C22×C3×C4—21no—
265C22×C3×C4—31no—
266C22×C3×C4—32no—
267C22×C3×C4—32no—
268C22×C3×C4—31no—
269C22×C3×C4—38no—
270C22×C3×C4—31no—
271C22×C3×C4—34no—
272C22×C3×C4—68no—
273C22×C3×C4—64no—
274C22×C3×C4C22×D311yescharacteristic
275C22×C3×C4C22×D311yescharacteristic
276C2×#67—28no—
277C2×#67—38no—
278C2×#67—38no—
279C2×#67—38no—
280C2×#67—34no—
281C2×#67—68no—
282C2×#67—68no—
283C2×#67—68no—
284C2×#67—128no—
285C2×#67C22×D318yes—
286C22×Dic3—28no—
287C22×Dic3—31no—
288C22×Dic3—31no—
289C22×Dic3—32no—
290C22×Dic3—32no—
291C22×Dic3—38no—
292C22×Dic3—62no—
293C22×Dic3—61no—
294C22×Dic3—68no—
295C22×Dic3C22×D318yes—
296C22×Dic3C22×D311yescharacteristic
297C22×Dic3C22×D311yescharacteristic
298C22×Dic3C22×D312yes—
299C22×Dic3C22×D312yes—
300C22×Dic3C22×D311yescharacteristic
301#237—664no—
302#235—664no—
303C2×D12—38no—
304C2×D12—34no—
305C2×C4×D3—24no—
306C2×C4×D3—38no—
307C2×C4×D3—34no—
308C2×C4×D3—34no—
309C2×C4×D3—38no—
310C2×C4×D3—38no—
311C2×C4×D3—64no—
312C2×C4×D3—68no—
313C2×C4×D3—68no—
314C2×C4×D3—68no—
315C2×C4×D3—64no—
316C2×C4×D3—64no—
317C2×C4×D3—124no—
318C2×C4×D3C22×D314yes—
319C2×Dic6—38no—
320C2×Dic6—38no—
321C2×Dic6—68no—
322C2×Dic6—68no—
323C3×C4⋊C4—34no—
324C3×C4⋊C4—34no—
325C3×C22⋊C4—38no—
326C3×C22⋊C4—38no—
327C3×C42—34no—
328#217—38no—
329#217—38no—
330#217—34no—
331#217—68no—
332#217C22×D318yes—
333#217C22×D318yes—
334(C2×D3)⋊C4—34no—
335(C2×D3)⋊C4—34no—
336(C2×D3)⋊C4—34no—
337C4⋊Dic3—34no—
338C4⋊Dic3—34no—
339C4⋊Dic3—38no—
340C4⋊Dic3—34no—
341C4⋊Dic3—38no—
342C4⋊Dic3—64no—
343C4⋊Dic3C22×D314yes—
344C4⋊Dic3C22×D314yes—
345Dic3⋊C4—34no—
346Dic3⋊C4—38no—
347Dic3⋊C4—38no—
348Dic3⋊C4—38no—
349Dic3⋊C4—38no—
350C4×Dic3C22×D314yes—
351C22×C32—24no—
352C22×C32—24no—
353C22×C32—24no—
354C22×C32—48no—
355C22×C32C22×D412yes—
356C22×C32C2×#4112yes—
357C22×C322−1+412yes—
358C22×C32C2511yescharacteristic
359C2×C3⋊D3—28no—
360C2×C3⋊D3—22no—
361C2×C3⋊D3—22no—
362C2×C3⋊D3C22×D414yes—
363C2×C3×D3—28no—
364C2×C3×D3—22no—
365C2×C3×D3—22no—
366C2×C3×D3C22×D414yes—
367C32×C4C2×#4114yescomplemented
368C3⋊Dic3—24no—
369C3⋊Dic3—22no—
370C3×Dic3—24no—
371C3×Dic3—24no—
372C3×Dic3—22no—
373C3×Dic3—22no—
374C3×Dic3C22×D414yes—
375C2×#41—916no—
376C2×#41—1816no—
377C22×Q8—92no—
378C22×D4—32no—
379C22×D4—91no—
380C22×D4—92no—
381C22×D4D3211yescharacteristic
382C23×C4—32no—
383C23×C4—31no—
384C23×C4—92no—
385C23×C4—92no—
386C23×C4—91no—
387C4⋊Q8—98no—
388#123—916no—
389#123—916no—
390C22⋊Q8—916no—
391#121—38no—
392#121—98no—
393C4×D4—38no—
394C4×D4—98no—
395C2×C4⋊C4—31no—
396C2×C4⋊C4—31no—
397C2×C4⋊C4—98no—
398C2×C4⋊C4—98no—
399C2×C4⋊C4—92no—
400C2×C4⋊C4—92no—
401C2×C4⋊C4—91no—
402C2×C4⋊C4—92no—
403C2×C4⋊C4—91no—
404C2×C22⋊C4—32no—
405C2×C22⋊C4—32no—
406C2×C22⋊C4—91no—
407C2×C22⋊C4—91no—
408C2×C22⋊C4—92no—
409C2×C42—31no—
410C23×C3—24no—
411C23×C3—24no—
412C23×C3—24no—
413C23×C3—24no—
414C23×C3—24no—
415C23×C3—24no—
416C23×C3—24no—
417C23×C3—21no—
418C23×C3—34no—
419C23×C3—32no—
420C23×C3—44no—
421C23×C3—44no—
422C23×C3—44no—
423C23×C3—62no—
424C23×C3—62no—
425C23×C3C23×D314yes—
426C23×C3C23×D314yes—
427C23×C3C23×D311yescharacteristic
428C23×C3C23×D311yescharacteristic
429C22×D3—22no—
430C22×D3—22no—
431C22×D3—34no—
432C22×D3—34no—
433C22×D3—32no—
434C22×D3—32no—
435C22×D3—64no—
436C22×D3—62no—
437C22×D3—62no—
438C22×D3—62no—
439C22×D3—62no—
440C22×D3—62no—
441C22×D3—122no—
442C22×D3—122no—
443C22×D3D3×D414yes—
444C22×D3C23×D312yes—
445C3×D4—28no—
446C3×D4—28no—
447C3×D4—48no—
448C3×D4—616no—
449C2×C3×C4—22no—
450C2×C3×C4—24no—
451C2×C3×C4—34no—
452C2×C3×C4—32no—
453C2×C3×C4—34no—
454C2×C3×C4—34no—
455C2×C3×C4—32no—
456C2×C3×C4—32no—
457C2×C3×C4—616no—
458C2×C3×C4—62no—
459C2×C3×C4—64no—
460C2×C3×C4—64no—
461C2×C3×C4—62no—
462C2×C3×C4—68no—
463C2×C3×C4#23514yescomplemented
464C2×C3×C4#23714yescomplemented
465C2×C3×C4C23×D312yes—
466C2×C3×C4C23×D312yes—
467#67—216no—
468#67—316no—
469#67—616no—
470#67—616no—
471#67—1216no—
472C2×Dic3—24no—
473C2×Dic3—24no—
474C2×Dic3—22no—
475C2×Dic3—22no—
476C2×Dic3—216no—
477C2×Dic3—32no—
478C2×Dic3—32no—
479C2×Dic3—34no—
480C2×Dic3—34no—
481C2×Dic3—64no—
482C2×Dic3—62no—
483C2×Dic3—616no—
484C2×Dic3—62no—
485C2×Dic3—64no—
486C2×Dic3—64no—
487C2×Dic3—62no—
488C2×Dic3—122no—
489C2×Dic3—124no—
490C2×Dic3D3×D414yes—
491C2×Dic3C23×D312yes—
492C2×Dic3C23×D312yes—
493C2×Dic3C23×D314yes—
494C2×Dic3C23×D314yes—
495C2×Dic3C23×D312yes—
496D12—316no—
497C4×D3—28no—
498C4×D3—616no—
499C4×D3—616no—
500C4×D3—616no—
501C4×D3—68no—
502C4×D3—68no—
503C4×D3—128no—
504Dic6—616no—
505Dic6—616no—
506C2×C32—44no—
507C2×C32#54714yescomplemented
508C2×C32C23×D411yescharacteristic
509C2×C32C22×#4111yescharacteristic
510C2×C32C2×2−1+411yescharacteristic
511C3⋊D3—24no—
512C3×D3—24no—
513C24—31no—
514C24—91no—
515C24C2×D3212yes—
516#41—1864no—
517C2×Q8—98no—
518C2×Q8—188no—
519C2×D4—24no—
520C2×D4—38no—
521C2×D4—68no—
522C2×D4—94no—
523C2×D4—98no—
524C2×D4—98no—
525C2×D4—188no—
526C2×D4C2×D3214yes—
527C22×C4—31no—
528C22×C4—38no—
529C22×C4—31no—
530C22×C4—31no—
531C22×C4—32no—
532C22×C4—32no—
533C22×C4—34no—
534C22×C4—68no—
535C22×C4—64no—
536C22×C4—98no—
537C22×C4—98no—
538C22×C4—91no—
539C22×C4—92no—
540C22×C4—94no—
541C22×C4—188no—
542C22×C4—188no—
543C22×C4—184no—
544C22×C4C2×D3211yescharacteristic
545C4⋊C4—34no—
546C4⋊C4—34no—
547C4⋊C4—98no—
548C4⋊C4—98no—
549C4⋊C4—94no—
550C4⋊C4—98no—
551C4⋊C4—94no—
552C22⋊C4—38no—
553C22⋊C4—38no—
554C22⋊C4—94no—
555C22⋊C4—94no—
556C22⋊C4—98no—
557C42—34no—
558C22×C3—24no—
559C22×C3—24no—
560C22×C3—24no—
561C22×C3—24no—
562C22×C3—24no—
563C22×C3—24no—
564C22×C3—22no—
565C22×C3—22no—
566C22×C3—22no—
567C22×C3—21no—
568C22×C3—34no—
569C22×C3—44no—
570C22×C3—44no—
571C22×C3—44no—
572C22×C3—48no—
573C22×C3—48no—
574C22×C3—62no—
575C22×C3—62no—
576C22×C3—68no—
577C22×C3—88no—
578C22×C3C2×#23512yes—
579C22×C3C2×D3×D412yes—
580C22×C3C2×D3×D412yes—
581C22×C3C2×#23712yes—
582C22×C3#101012yes—
583C22×C3#101012yes—
584C22×C3C24×D311yescharacteristic
585C22×C3C24×D311yescharacteristic
586C2×D3—22no—
587C2×D3—22no—
588C2×D3—28no—
589C2×D3—34no—
590C2×D3—34no—
591C2×D3—64no—
592C2×D3—62no—
593C2×D3—62no—
594C2×D3—62no—
595C2×D3—62no—
596C2×D3—68no—
597C2×D3—68no—
598C2×D3—122no—
599C2×D3—122no—
600C2×D3—128no—
601C2×D3C2×D3×D414yes—
602C3×C4—24no—
603C3×C4—34no—
604C3×C4—62no—
605C3×C4—64no—
606C3×C4—64no—
607C3×C4—62no—
608C3×C4C2×#23514yescomplemented
609C3×C4C2×#23714yescomplemented
610Dic3—24no—
611Dic3—24no—
612Dic3—22no—
613Dic3—22no—
614Dic3—62no—
615Dic3—64no—
616Dic3—64no—
617Dic3—62no—
618Dic3—122no—
619Dic3—124no—
620Dic3C2×D3×D414yes—
621C32C2×#54711yescharacteristic, complemented, Sylow
622C23—24no—
623C23—24no—
624C23—24no—
625C23—34no—
626C23—32no—
627C23—62no—
628C23—62no—
629C23—94no—
630C23—92no—
631C23—182no—
632C23—182no—
633C23C22×D3214yes—
634C23C22×D3211yescharacteristic
635Q8—1816no—
636D4—28no—
637D4—616no—
638D4—916no—
639D4—1816no—
640C2×C4—34no—
641C2×C4—32no—
642C2×C4—32no—
643C2×C4—32no—
644C2×C4—34no—
645C2×C4—34no—
646C2×C4—616no—
647C2×C4—62no—
648C2×C4—64no—
649C2×C4—64no—
650C2×C4—62no—
651C2×C4—68no—
652C2×C4—92no—
653C2×C4—94no—
654C2×C4—1816no—
655C2×C4—1816no—
656C2×C4—184no—
657C2×C4—182no—
658C2×C4—188no—
659C2×C4#380414yescomplemented
660C2×C4C22×D3212yes—
661C2×C3—21no—
662C2×C3—21no—
663C2×C3—24no—
664C2×C3—21no—
665C2×C3—44no—
666C2×C3—44no—
667C2×C3—64no—
668C2×C3—84no—
669C2×C3#555114yescomplemented
670C2×C3#561114yescomplemented
671C2×C3C22×#23511yescharacteristic
672C2×C3C22×D3×D411yescharacteristic
673C2×C3C22×D3×D411yescharacteristic
674C2×C3C22×#23711yescharacteristic
675C2×C3C2×#101011yescharacteristic
676C2×C3C2×#101011yescharacteristic
677D3—24no—
678D3—64no—
679D3—64no—
680D3—124no—
681C22—24no—
682C22—24no—
683C22—24no—
684C22—34no—
685C22—48no—
686C22—62no—
687C22—68no—
688C22—62no—
689C22—94no—
690C22—182no—
691C22—188no—
692C22—182no—
693C22#6430912yes—
694C22D32×D412yes—
695C22C2×#380412yes—
696C22C23×D3211yescharacteristic
697C4—34no—
698C4—62no—
699C4—64no—
700C4—64no—
701C4—62no—
702C4—184no—
703C4—182no—
704C4C2×#380414yescomplemented
705C3—21no—
706C3C2×#555111yescharacteristic, complemented
707C3C2×#561111yescharacteristic, complemented
708C2—44no—
709C2—64no—
710C2—184no—
711C2#1059513614yesdirect product factor
712C2C2×#6430911yescharacteristic
713C2C2×D32×D411yescharacteristic
714C2C22×#380411yescharacteristic
subgroupG/H
centerC23C22×D32
commutator, cosocleC22×C32C25
FrattiniC22C23×D32
FittingC22×C32×D4C22
socleC23×C32C24
hypercenterC22×D4D32
hypocenterC32C2×#547
LCSG ▷ C22×C32 ▷ C32
UCSC1 ◁ C23 ◁ C22×D4

Complements

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

NH ≅ G/Ntype
1. C22×#3804C2semidirect
2. C2×#64147C2semidirect
3. C2×C3×#938C2semidirect
4. C2×C3×D4×Dic3C2semidirect
5. C2×#63975C2semidirect
6. C2×#63969C2semidirect
7. C2×#63964C2semidirect
8. #10595136C2direct (N × H)
9. C2×#63918C2semidirect
10. C2×C4×#626C2semidirect
11. C2×#63900C2semidirect
12. C2×D3×C4⋊Dic3C2semidirect
25. C2×#3804C22semidirect
28. #64147C22semidirect
32. C3×#938C22semidirect
33. C3×D4×Dic3C22semidirect
37. #63975C22semidirect
38. #63969C22semidirect
43. #63964C22semidirect
46. #63918C22semidirect
47. C4×#626C22semidirect
48. #63900C22semidirect
49. D3×C4⋊Dic3C22semidirect
57. C2×#938D3semidirect
59. C2×D4×Dic3D3semidirect
100. C2×#626D4semidirect
164. #938C2×D3semidirect
166. D4×Dic3C2×D3semidirect
211. C2×C32×C4#41semidirect
233. #626C2×D4semidirect
367. C32×C4C2×#41semidirect
463. C2×C3×C4#235semidirect
464. C2×C3×C4#237semidirect
507. C2×C32#547semidirect
608. C3×C4C2×#235semidirect
609. C3×C4C2×#237semidirect
621. C32C2×#547semidirect
659. C2×C4#3804semidirect
669. C2×C3#5551semidirect
670. C2×C3#5611semidirect
704. C4C2×#3804semidirect
706. C3C2×#5551semidirect
707. C3C2×#5611semidirect
711. C2#10595136direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#38042
C2×#641472
C2×C3×#9382
C2×C3×D4×Dic32
C2×#639752
C2×#639692
C2×#639642
#105951362
C2×#639182
C2×C4×#6262
C2×#639002
C2×D3×C4⋊Dic32
C2×#56113
C2×#55513