Finite Group Databasebeta

← C2×#10594367 #11900780

Subgroups — C2×#10594367 #11900780

Order 1152.

3601 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×#3795C212yesmaximal, complemented
2C2×#64097C211yesmaximal, characteristic, complemented
3C2×C3×#895C211yesmaximal, characteristic, complemented
4C2×C3×#893C211yesmaximal, characteristic, complemented
5C2×#63914C211yesmaximal, characteristic, complemented
6C2×#63913C212yesmaximal, complemented
7C2×#63908C211yesmaximal, characteristic, complemented
8C2×Dic3×D12C211yesmaximal, characteristic, complemented
9C2×#63885C212yesmaximal, complemented
10C2×#63879C212yesmaximal, complemented
11C2×C4×D3×Dic3C211yesmaximal, characteristic, complemented
12#10594367C2116yesmaximal, direct product factor
13C2×#5596—31nomaximal
14C2×#5548—31nomaximal
15C22×#634C2212yes—
16C22×C3×D12C2211yescharacteristic
17C22×C3×D12C2212yes—
18C22×C3×D12C2211yescharacteristic
19C22×C3×C4×D3C2212yes—
20C22×C3×C4×D3C2211yescharacteristic
21C22×#625C2212yes—
22C22×#625C2212yes—
23C22×#625C2212yes—
24C22×D3×Dic3C2212yes—
25C22×D3×Dic3C2211yescharacteristic
26C22×D3×Dic3C2211yescharacteristic
27C2×#3795—216no—
28C2×#3795C22116yescomplemented
29C2×C32×C4⋊C4C2211yescharacteristic
30C2×C4⋊(C3⋊Dic3)C2211yescharacteristic
31C2×#3750C2212yes—
32C2×C4×C3⋊Dic3C2211yescharacteristic
33#64097C2218yescomplemented
34C2×C3×(C2×D3)⋊C4C2212yes—
35C2×C3×(C2×D3)⋊C4C2212yes—
36C2×C3×C4×Dic3C2211yescharacteristic
37C3×#895C2218yescomplemented
38C3×#893C2218yescomplemented
39C2×(C2×D3)⋊Dic3C2212yes—
40C2×(C2×D3)⋊Dic3C2212yes—
41C2×Dic32C2211yescharacteristic
42C2×Dic32C2211yescharacteristic
43#63914C2218yescomplemented
44#63913C22116yescomplemented
45#63908C2218yescomplemented
46Dic3×D12C2218yescomplemented
47#63885C22116yescomplemented
48#63879C22116yescomplemented
49C4×D3×Dic3C2218yescomplemented
50C22×#237—32no—
51C22×#235—32no—
52C2×C3×#121—31no—
53C2×C3×C4×D4—31no—
54C2×#940—31no—
55C2×#940—31no—
56C2×#939—32no—
57C2×#938—31no—
58C2×D4×Dic3—31no—
59C2×#930—31no—
60C2×C4×#67—32no—
61C22×C4×Dic3—31no—
62#5596—316no—
63#5548—316no—
64C2×#895D311yescharacteristic, complemented
65C2×#893D311yescharacteristic, complemented
66C2×#888—31no—
67C2×#888—31no—
68C2×#888—61no—
69C2×#885—32no—
70C2×#885—32no—
71C2×#884—32no—
72C2×#67⋊C4—32no—
73C2×C4×D12—31no—
74C2×C42×D3—31no—
75C23×C3×D3C2312yes—
76C23×C3×D3C2312yes—
77C23×C3×D3C2311yescharacteristic
78C22×C32×C4C2312yes—
79C22×C32×C4C2311yescharacteristic
80C22×C3⋊Dic3C2312yes—
81C22×C3⋊Dic3C2311yescharacteristic
82C22×C3⋊Dic3C2311yescharacteristic
83C2×#634—28no—
84C2×#634C2318yes—
85C22×C3×Dic3C2311yescharacteristic
86C22×C3×Dic3C2311yescharacteristic
87C22×C3×Dic3C2311yescharacteristic
88C2×C3×D12—28no—
89C2×C3×D12—24no—
90C2×C3×D12—24no—
91C2×C3×D12C2314yes—
92C2×C3×D12C2318yes—
93C2×C3×D12C2314yes—
94C2×C3×C4×D3—24no—
95C2×C3×C4×D3—28no—
96C2×C3×C4×D3C2318yes—
97C2×C3×C4×D3C2314yes—
98C2×#625—28no—
99C2×#625—28no—
100C2×#625—28no—
101C2×#625C2318yes—
102C2×#625C2318yes—
103C2×#625C2318yes—
104C2×D3×Dic3—24no—
105C2×D3×Dic3—28no—
106C2×D3×Dic3D418yescomplemented
107C2×D3×Dic3C2318yes—
108C2×D3×Dic3C2314yes—
109C2×D3×Dic3C2314yes—
110#3795—264no—
111C32×C4⋊C4C2314yes—
112C4⋊(C3⋊Dic3)C2314yes—
113#3750C2318yes—
114C4×C3⋊Dic3C2314yes—
115C3×(C2×D3)⋊C4C2318yes—
116C3×(C2×D3)⋊C4C2318yes—
117C3×C4×Dic3C2314yes—
118(C2×D3)⋊Dic3C2318yes—
119(C2×D3)⋊Dic3C2318yes—
120Dic32C2314yes—
121Dic32C2314yes—
122C2×#532—91noSylow
123C22×C3×D4—32no—
124C22×C3×D4—31no—
125C22×C3×D4—31no—
126C23×C3×C4—32no—
127C23×C3×C4—31no—
128C22×#67—32no—
129C22×#67—32no—
130C22×#67—32no—
131C22×#67—32no—
132C22×#67—32no—
133C22×#67—32no—
134C23×Dic3—31no—
135C23×Dic3—32no—
136C23×Dic3—31no—
137C2×#237—316no—
138C2×#237—616no—
139C2×#235—316no—
140C2×#235—616no—
141C22×D12C2×D312yes—
142C22×D12C2×D311yescharacteristic
143C22×D12C2×D311yescharacteristic
144C22×C4×D3—31no—
145C22×C4×D3—32no—
146C22×C4×D3—31no—
147C22×C4×D3C2×D312yes—
148C22×C4×D3C2×D311yescharacteristic
149C22×Dic6—32no—
150C22×Dic6—32no—
151C22×Dic6—62no—
152C3×#121—38no—
153C3×C4×D4—38no—
154C2×C3×C4⋊C4—21no—
155C2×C3×C4⋊C4C2×D311yescharacteristic
156C2×C3×C4⋊C4C2×D311yescharacteristic
157C2×C3×C22⋊C4—32no—
158C2×C3×C22⋊C4—32no—
159C2×C3×C42—31no—
160C2×#217—32no—
161C2×#217—32no—
162#940—38no—
163#940—38no—
164#939—316no—
165#938—38no—
166D4×Dic3—38no—
167#930—38no—
168C4×#67—316no—
169C2×(C2×D3)⋊C4—32no—
170C2×(C2×D3)⋊C4—32no—
171C2×(C2×D3)⋊C4C2×D312yes—
172C2×(C2×D3)⋊C4C2×D312yes—
173C2×C4⋊Dic3—31no—
174C2×C4⋊Dic3—31no—
175C2×C4⋊Dic3—61no—
176C2×Dic3⋊C4—32no—
177C2×Dic3⋊C4—32no—
178C2×Dic3⋊C4—62no—
179C2×C4×Dic3—31no—
180C2×C4×Dic3—31no—
181C2×C4×Dic3—31no—
182C2×C4×Dic3—31no—
183C2×C4×Dic3—31no—
184C2×C4×Dic3—31no—
185C2×C4×Dic3—38no—
186C2×C4×Dic3—61no—
187C2×C4×Dic3C2×D311yescharacteristic
188#895C2×D318yescomplemented
189#893C2×D318yescomplemented
190#888—38no—
191#888—38no—
192#888—68no—
193#885—316no—
194#885—316no—
195#884—316no—
196#67⋊C4—316no—
197C4×D12—38no—
198C42×D3—38no—
199C23×C32C2411yescharacteristic
200C22×C3×D3—22no—
201C22×C3×D3—22no—
202C22×C3×D3—24no—
203C22×C3×D3—24no—
204C22×C3×D3—24no—
205C22×C3×D3—24no—
206C22×C3×D3—24no—
207C22×C3×D3—24no—
208C22×C3×D3C2×D414yes—
209C22×C3×D3C2414yes—
210C22×C3×D3C2414yes—
211C22×C3×D3C2412yes—
212C2×C32×C4—24no—
213C2×C32×C4#4114yescomplemented
214C2×C32×C4C2414yes—
215C2×C32×C4C2412yes—
216C2×C3⋊Dic3—24no—
217C2×C3⋊Dic3C2×D414yes—
218C2×C3⋊Dic3#4114yescomplemented
219C2×C3⋊Dic3C2414yes—
220C2×C3⋊Dic3C2412yes—
221C2×C3⋊Dic3C2412yes—
222#634—216no—
223C2×C3×Dic3—22no—
224C2×C3×Dic3—22no—
225C2×C3×Dic3C2×D414yes—
226C2×C3×Dic3C2412yes—
227C2×C3×Dic3C2412yes—
228C2×C3×Dic3C2412yes—
229C3×D12—216no—
230C3×D12—28no—
231C3×D12—28no—
232C3×C4×D3—28no—
233C3×C4×D3—216no—
234#625—216no—
235#625—216no—
236#625—216no—
237D3×Dic3—28no—
238D3×Dic3—216no—
239D3×Dic3C2×D4116yescomplemented
240C22×#41—92no—
241#532—916no—
242C2×C4⋊Q8—91no—
243C2×#127—91no—
244C2×#124—92no—
245C2×#121—31no—
246C2×#121—92no—
247C2×#121—91no—
248C2×C4×D4—31no—
249C2×C4×D4—91no—
250C2×C4×D4—92no—
251C22×C42—91no—
252C24×C3—31no—
253C24×C3—32no—
254C24×C3—32no—
255C23×D3C22×D312yes—
256C23×D3C22×D312yes—
257C23×D3C22×D311yescharacteristic
258C2×C3×D4—34no—
259C2×C3×D4—34no—
260C2×C3×D4—38no—
261C2×C3×D4—68no—
262C2×C3×D4—64no—
263C2×C3×D4—64no—
264C22×C3×C4—21no—
265C22×C3×C4—22no—
266C22×C3×C4—31no—
267C22×C3×C4—31no—
268C22×C3×C4—31no—
269C22×C3×C4—34no—
270C22×C3×C4—38no—
271C22×C3×C4—68no—
272C22×C3×C4—64no—
273C22×C3×C4C22×D312yes—
274C22×C3×C4C22×D312yes—
275C22×C3×C4C22×D311yescharacteristic
276C22×C3×C4C22×D311yescharacteristic
277C2×#67—38no—
278C2×#67—38no—
279C2×#67—38no—
280C2×#67—38no—
281C2×#67—38no—
282C2×#67—38no—
283C2×#67—68no—
284C2×#67—68no—
285C2×#67—68no—
286C2×#67—68no—
287C2×#67—68no—
288C2×#67—68no—
289C22×Dic3—31no—
290C22×Dic3—31no—
291C22×Dic3—31no—
292C22×Dic3—31no—
293C22×Dic3—38no—
294C22×Dic3—34no—
295C22×Dic3—32no—
296C22×Dic3—32no—
297C22×Dic3—38no—
298C22×Dic3—34no—
299C22×Dic3—61no—
300C22×Dic3—61no—
301C22×Dic3—62no—
302C22×Dic3—64no—
303C22×Dic3—68no—
304C22×Dic3C22×D311yescharacteristic
305C22×Dic3C22×D311yescharacteristic
306C22×Dic3C22×D311yescharacteristic
307#237—664no—
308#235—664no—
309C2×D12—28no—
310C2×D12—24no—
311C2×D12—24no—
312C2×D12C22×D314yes—
313C2×D12C22×D318yes—
314C2×D12C22×D314yes—
315C2×C4×D3—24no—
316C2×C4×D3—28no—
317C2×C4×D3—38no—
318C2×C4×D3—34no—
319C2×C4×D3—34no—
320C2×C4×D3—38no—
321C2×C4×D3—64no—
322C2×C4×D3—68no—
323C2×C4×D3C22×D314yes—
324C2×C4×D3C22×D318yes—
325C2×Dic6—38no—
326C2×Dic6—38no—
327C2×Dic6—68no—
328C2×Dic6—68no—
329C2×Dic6—68no—
330C2×Dic6—128no—
331C3×C4⋊C4—24no—
332C3×C4⋊C4C22×D314yes—
333C3×C4⋊C4C22×D314yes—
334C3×C22⋊C4—38no—
335C3×C22⋊C4—38no—
336C3×C42—34no—
337#217—38no—
338#217—38no—
339(C2×D3)⋊C4—38no—
340(C2×D3)⋊C4—38no—
341(C2×D3)⋊C4C22×D318yes—
342(C2×D3)⋊C4C22×D318yes—
343C4⋊Dic3—34no—
344C4⋊Dic3—34no—
345C4⋊Dic3—64no—
346Dic3⋊C4—38no—
347Dic3⋊C4—38no—
348Dic3⋊C4—68no—
349C4×Dic3—34no—
350C4×Dic3—34no—
351C4×Dic3—34no—
352C4×Dic3—34no—
353C4×Dic3—34no—
354C4×Dic3—34no—
355C4×Dic3—64no—
356C4×Dic3C22×D314yes—
357C22×C32C22×D412yes—
358C22×C32C2×#4112yes—
359C22×C32C2×#4112yes—
360C22×C32C2511yescharacteristic
361C2×C3×D3—28no—
362C2×C3×D3—22no—
363C2×C3×D3—22no—
364C2×C3×D3—24no—
365C2×C3×D3—24no—
366C2×C3×D3—24no—
367C2×C3×D3—24no—
368C2×C3×D3—24no—
369C2×C3×D3—24no—
370C2×C3×D3—48no—
371C2×C3×D3—48no—
372C2×C3×D3C22×D414yes—
373C32×C4—24no—
374C32×C4C2×#4114yescomplemented
375C3⋊Dic3—24no—
376C3⋊Dic3C22×D414yes—
377C3⋊Dic3C2×#4114yescomplemented
378C3×Dic3—22no—
379C3×Dic3—22no—
380C3×Dic3C22×D414yes—
381C2×#41—916no—
382C2×#41—1816no—
383C22×Q8—92no—
384C22×D4—31no—
385C22×D4—31no—
386C22×D4—32no—
387C22×D4—92no—
388C22×D4—92no—
389C22×D4—92no—
390C23×C4—32no—
391C23×C4—31no—
392C23×C4—91no—
393C23×C4—92no—
394C23×C4—91no—
395C4⋊Q8—98no—
396#127—98no—
397#124—916no—
398#121—38no—
399#121—916no—
400#121—98no—
401C4×D4—38no—
402C4×D4—98no—
403C4×D4—916no—
404C2×C4⋊C4—92no—
405C2×C4⋊C4—91no—
406C2×C4⋊C4D3211yescharacteristic
407C2×C22⋊C4—32no—
408C2×C22⋊C4—32no—
409C2×C22⋊C4—92no—
410C2×C22⋊C4—92no—
411C2×C42—31no—
412C2×C42—98no—
413C2×C42—91no—
414C2×C42—91no—
415C2×C42—91no—
416C23×C3—21no—
417C23×C3—34no—
418C23×C3—32no—
419C23×C3—34no—
420C23×C3—34no—
421C23×C3—62no—
422C23×C3—62no—
423C23×C3—64no—
424C23×C3—64no—
425C23×C3—64no—
426C23×C3—64no—
427C23×C3—64no—
428C23×C3—64no—
429C23×C3C23×D311yescharacteristic
430C23×C3C23×D311yescharacteristic
431C22×D3—22no—
432C22×D3—22no—
433C22×D3—24no—
434C22×D3—24no—
435C22×D3—24no—
436C22×D3—24no—
437C22×D3—24no—
438C22×D3—24no—
439C22×D3D3×D414yes—
440C22×D3C23×D314yes—
441C22×D3C23×D314yes—
442C22×D3C23×D312yes—
443C3×D4—616no—
444C3×D4—68no—
445C3×D4—68no—
446C2×C3×C4—24no—
447C2×C3×C4—24no—
448C2×C3×C4—22no—
449C2×C3×C4—24no—
450C2×C3×C4—24no—
451C2×C3×C4—34no—
452C2×C3×C4—32no—
453C2×C3×C4—32no—
454C2×C3×C4—32no—
455C2×C3×C4—44no—
456C2×C3×C4—616no—
457C2×C3×C4—62no—
458C2×C3×C4—62no—
459C2×C3×C4—68no—
460C2×C3×C4#23514yescomplemented
461C2×C3×C4#23714yescomplemented
462C2×C3×C4C23×D314yes—
463C2×C3×C4C23×D314yes—
464C2×C3×C4C23×D312yes—
465C2×C3×C4C23×D312yes—
466#67—616no—
467#67—616no—
468#67—616no—
469#67—616no—
470#67—616no—
471#67—616no—
472C2×Dic3—22no—
473C2×Dic3—22no—
474C2×Dic3—34no—
475C2×Dic3—34no—
476C2×Dic3—34no—
477C2×Dic3—34no—
478C2×Dic3—32no—
479C2×Dic3—32no—
480C2×Dic3—32no—
481C2×Dic3—32no—
482C2×Dic3—316no—
483C2×Dic3—34no—
484C2×Dic3—34no—
485C2×Dic3—64no—
486C2×Dic3—64no—
487C2×Dic3—62no—
488C2×Dic3—62no—
489C2×Dic3—64no—
490C2×Dic3—68no—
491C2×Dic3—64no—
492C2×Dic3—64no—
493C2×Dic3—616no—
494C2×Dic3—124no—
495C2×Dic3D3×D414yes—
496C2×Dic3C23×D312yes—
497C2×Dic3C23×D312yes—
498C2×Dic3C23×D312yes—
499D12—216no—
500D12—28no—
501D12—28no—
502C4×D3—28no—
503C4×D3—216no—
504C4×D3—316no—
505C4×D3—68no—
506C4×D3—616no—
507Dic6—616no—
508Dic6—616no—
509Dic6—1216no—
510C2×C32#53214yescomplemented
511C2×C32C23×D411yescharacteristic
512C2×C32C22×#4111yescharacteristic
513C2×C32C22×#4111yescharacteristic
514C3×D3—24no—
515C3×D3—44no—
516C3×D3—44no—
517C24—31no—
518C24—32no—
519C24—32no—
520#41—1864no—
521C2×Q8—98no—
522C2×Q8—188no—
523C2×D4—34no—
524C2×D4—34no—
525C2×D4—38no—
526C2×D4—68no—
527C2×D4—64no—
528C2×D4—64no—
529C2×D4—98no—
530C2×D4—98no—
531C2×D4—98no—
532C2×D4—188no—
533C2×D4—188no—
534C2×D4—188no—
535C22×C4—31no—
536C22×C4—31no—
537C22×C4—31no—
538C22×C4—34no—
539C22×C4—38no—
540C22×C4—68no—
541C22×C4—64no—
542C22×C4—94no—
543C22×C4—98no—
544C22×C4—94no—
545C22×C4—98no—
546C22×C4—91no—
547C22×C4—91no—
548C22×C4—92no—
549C22×C4—188no—
550C22×C4—184no—
551C22×C4C2×D3212yes—
552C22×C4C2×D3211yescharacteristic
553C4⋊C4—98no—
554C4⋊C4—94no—
555C4⋊C4C2×D3214yes—
556C22⋊C4—38no—
557C22⋊C4—38no—
558C22⋊C4—98no—
559C22⋊C4—98no—
560C42—34no—
561C42—94no—
562C42—94no—
563C42—94no—
564C22×C3—22no—
565C22×C3—22no—
566C22×C3—22no—
567C22×C3—21no—
568C22×C3—34no—
569C22×C3—62no—
570C22×C3—62no—
571C22×C3—68no—
572C22×C3—64no—
573C22×C3—64no—
574C22×C3—64no—
575C22×C3—64no—
576C22×C3—64no—
577C22×C3—64no—
578C22×C3—128no—
579C22×C3—128no—
580C22×C3C2×#23512yes—
581C22×C3C2×D3×D412yes—
582C22×C3C2×D3×D412yes—
583C22×C3C2×#23712yes—
584C22×C3D3×#4112yes—
585C22×C3D3×#4112yes—
586C22×C3C24×D311yescharacteristic
587C22×C3C24×D311yescharacteristic
588C2×D3—22no—
589C2×D3—22no—
590C2×D3—28no—
591C2×D3—24no—
592C2×D3—24no—
593C2×D3—24no—
594C2×D3—24no—
595C2×D3—24no—
596C2×D3—24no—
597C2×D3—48no—
598C2×D3—48no—
599C2×D3C2×D3×D414yes—
600C3×C4—24no—
601C3×C4—24no—
602C3×C4—24no—
603C3×C4—34no—
604C3×C4—44no—
605C3×C4—62no—
606C3×C4—62no—
607C3×C4C2×#23514yescomplemented
608C3×C4C2×#23714yescomplemented
609Dic3—22no—
610Dic3—22no—
611Dic3—34no—
612Dic3—34no—
613Dic3—34no—
614Dic3—34no—
615Dic3—64no—
616Dic3—64no—
617Dic3—64no—
618Dic3—64no—
619Dic3—124no—
620Dic3C2×D3×D414yes—
621C32C2×#53211yescharacteristic, complemented, Sylow
622C23—34no—
623C23—32no—
624C23—34no—
625C23—34no—
626C23—62no—
627C23—62no—
628C23—64no—
629C23—64no—
630C23—64no—
631C23—64no—
632C23—64no—
633C23—64no—
634C23C22×D3211yescharacteristic
635Q8—1816no—
636D4—616no—
637D4—68no—
638D4—68no—
639D4—1816no—
640D4—1816no—
641D4—1816no—
642C2×C4—24no—
643C2×C4—34no—
644C2×C4—32no—
645C2×C4—32no—
646C2×C4—32no—
647C2×C4—616no—
648C2×C4—62no—
649C2×C4—62no—
650C2×C4—68no—
651C2×C4—916no—
652C2×C4—94no—
653C2×C4—94no—
654C2×C4—92no—
655C2×C4—92no—
656C2×C4—94no—
657C2×C4—1816no—
658C2×C4—188no—
659C2×C4—184no—
660C2×C4#379514yescomplemented
661C2×C4C22×D3214yes—
662C2×C4C22×D3212yes—
663C2×C3—21no—
664C2×C3—24no—
665C2×C3—21no—
666C2×C3—21no—
667C2×C3—64no—
668C2×C3—124no—
669C2×C3—124no—
670C2×C3#554814yescomplemented
671C2×C3#559614yescomplemented
672C2×C3C22×#23511yescharacteristic
673C2×C3C22×D3×D411yescharacteristic
674C2×C3C22×D3×D411yescharacteristic
675C2×C3C22×#23711yescharacteristic
676C2×C3C2×D3×#4111yescharacteristic
677C2×C3C2×D3×#4111yescharacteristic
678D3—24no—
679D3—44no—
680D3—44no—
681C22—34no—
682C22—62no—
683C22—68no—
684C22—62no—
685C22—64no—
686C22—64no—
687C22—64no—
688C22—64no—
689C22—64no—
690C22—64no—
691C22—128no—
692C22—128no—
693C22C2×#379512yes—
694C22D32×D412yes—
695C22#6431912yes—
696C22C23×D3211yescharacteristic
697C4—24no—
698C4—34no—
699C4—62no—
700C4—62no—
701C4—94no—
702C4—94no—
703C4—184no—
704C4C2×#379514yescomplemented
705C3—21no—
706C3C2×#554811yescharacteristic, complemented
707C3C2×#559611yescharacteristic, complemented
708C2—64no—
709C2—124no—
710C2—124no—
711C2#1059436714yesdirect product factor
712C2C22×#379511yescharacteristic
713C2C2×D32×D411yescharacteristic
714C2C2×#6431911yescharacteristic
subgroupG/H
centerC23C22×D32
commutator, cosocleC22×C32C25
FrattiniC22C23×D32
FittingC2×C32×C4⋊C4C22
socleC23×C32C24
hypercenterC2×C4⋊C4D32
hypocenterC32C2×#532
LCSG ▷ C22×C32 ▷ C32
UCSC1 ◁ C23 ◁ C2×C4⋊C4

Complements

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

NH ≅ G/Ntype
1. C22×#3795C2semidirect
2. C2×#64097C2semidirect
3. C2×C3×#895C2semidirect
4. C2×C3×#893C2semidirect
5. C2×#63914C2semidirect
6. C2×#63913C2semidirect
7. C2×#63908C2semidirect
8. C2×Dic3×D12C2semidirect
9. C2×#63885C2semidirect
10. C2×#63879C2semidirect
11. C2×C4×D3×Dic3C2semidirect
12. #10594367C2direct (N × H)
28. C2×#3795C22semidirect
33. #64097C22semidirect
37. C3×#895C22semidirect
38. C3×#893C22semidirect
43. #63914C22semidirect
44. #63913C22semidirect
45. #63908C22semidirect
46. Dic3×D12C22semidirect
47. #63885C22semidirect
48. #63879C22semidirect
49. C4×D3×Dic3C22semidirect
64. C2×#895D3semidirect
65. C2×#893D3semidirect
106. C2×D3×Dic3D4semidirect
188. #895C2×D3semidirect
189. #893C2×D3semidirect
213. C2×C32×C4#41semidirect
218. C2×C3⋊Dic3#41semidirect
239. D3×Dic3C2×D4semidirect
374. C32×C4C2×#41semidirect
377. C3⋊Dic3C2×#41semidirect
460. C2×C3×C4#235semidirect
461. C2×C3×C4#237semidirect
510. C2×C32#532semidirect
607. C3×C4C2×#235semidirect
608. C3×C4C2×#237semidirect
621. C32C2×#532semidirect
660. C2×C4#3795semidirect
670. C2×C3#5548semidirect
671. C2×C3#5596semidirect
704. C4C2×#3795semidirect
706. C3C2×#5548semidirect
707. C3C2×#5596semidirect
711. C2#10594367direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#37952
C2×#640972
C2×C3×#8952
C2×C3×#8932
C2×#639142
C2×#639132
C2×#639082
C2×Dic3×D122
C2×#638852
C2×#638792
C2×C4×D3×Dic32
#105943672
C2×#55963
C2×#55483