Finite Group Databasebeta

← C2×#10594370 #11902554

Subgroups — C2×#10594370 #11902554

Order 1152.

3409 conjugacy classes of subgroups.

The subgroup lattice has 700 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×D3×C4⋊C4C211yesmaximal, characteristic, complemented
5C2×#63908C211yesmaximal, characteristic, complemented
6C2×#63905C212yesmaximal, complemented
7C2×C4×#625C211yesmaximal, characteristic, complemented
8C2×#63898C211yesmaximal, characteristic, complemented
9C2×#63896C212yesmaximal, complemented
10C2×D3×C4⋊Dic3C211yesmaximal, characteristic, complemented
11C2×#63884C212yesmaximal, complemented
12#10594370C2116yesmaximal, direct product factor
13C2×#5611—31nomaximal
14C2×#5507—31nomaximal
15C22×#634C2212yes—
16C22×C3×D12C2212yes—
17C22×C3×D12C2211yescharacteristic
18C22×C3×C4×D3C2212yes—
19C22×C3×C4×D3C2211yescharacteristic
20C22×C3×C4×D3C2211yescharacteristic
21C22×#625C2212yes—
22C22×#625C2211yescharacteristic
23C22×D3×Dic3C2212yes—
24C22×D3×Dic3C2212yes—
25C2×#3795—216no—
26C2×#3795C22116yescomplemented
27C2×C32×C4⋊C4C2211yescharacteristic
28C2×C4⋊(C3⋊Dic3)C2211yescharacteristic
29C2×#3750C2212yes—
30C2×C4×C3⋊Dic3C2211yescharacteristic
31#64097C2218yescomplemented
32C2×C3×(C2×D3)⋊C4C2212yes—
33C2×C3×C4⋊Dic3C2211yescharacteristic
34C2×C3×Dic3⋊C4C2212yes—
35C3×#895C2218yescomplemented
36C3×D3×C4⋊C4C2218yescomplemented
37C2×#3724C2211yescharacteristic
38C2×Dic3⋊Dic3C2212yes—
39C2×(C2×D3)⋊Dic3C2211yescharacteristic
40C2×(C2×D3)⋊Dic3C2212yes—
41C2×(C2×D3)⋊Dic3C2212yes—
42C2×(C2×D3)⋊Dic3C2211yescharacteristic
43#63908C2218yescomplemented
44#63905C22116yescomplemented
45C4×#625C2218yescomplemented
46#63898C2218yescomplemented
47#63896C22116yescomplemented
48D3×C4⋊Dic3C2218yescomplemented
49#63884C22116yescomplemented
50C22×#237—32no—
51C22×#235—32no—
52C2×C3×#121—31no—
53C22×C3×C4⋊C4—31no—
54C2×#938—31no—
55C2×#935—32no—
56C2×D4×Dic3—31no—
57C2×#930—31no—
58C2×#929—32no—
59C2×C4×#67—31no—
60C2×C4×#67—31no—
61C22×C4⋊Dic3—31no—
62#5611—316no—
63C2×#896—32no—
64#5507—316no—
65C2×#895D311yescharacteristic, complemented
66C2×#894—32no—
67C2×#893—31no—
68C2×D3×C4⋊C4—31no—
69C2×D3×C4⋊C4D311yescharacteristic, complemented
70C2×#888—31no—
71C2×#888—31no—
72C2×#888—61no—
73C2×#883—32no—
74C2×#878—32no—
75C23×C3×D3C2312yes—
76C23×C3×D3C2311yescharacteristic
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×Dic3C2312yes—
87C22×C3×Dic3C2311yescharacteristic
88C2×C3×D12—28no—
89C2×C3×D12—24no—
90C2×C3×D12C2318yes—
91C2×C3×D12C2314yes—
92C2×C3×C4×D3—28no—
93C2×C3×C4×D3—24no—
94C2×C3×C4×D3—24no—
95C2×C3×C4×D3C2318yes—
96C2×C3×C4×D3C2314yes—
97C2×C3×C4×D3C2314yes—
98C2×#625—28no—
99C2×#625D418yescomplemented
100C2×#625C2318yes—
101C2×#625C2314yes—
102C2×D3×Dic3—28no—
103C2×D3×Dic3—28no—
104C2×D3×Dic3C2318yes—
105C2×D3×Dic3C2318yes—
106#3795—264no—
107C32×C4⋊C4C2314yes—
108C4⋊(C3⋊Dic3)C2314yes—
109#3750C2318yes—
110C4×C3⋊Dic3C2314yes—
111C3×(C2×D3)⋊C4C2318yes—
112C3×C4⋊Dic3C2314yes—
113C3×Dic3⋊C4C2318yes—
114#3724C2314yes—
115Dic3⋊Dic3C2318yes—
116(C2×D3)⋊Dic3C2314yes—
117(C2×D3)⋊Dic3C2318yes—
118(C2×D3)⋊Dic3C2318yes—
119(C2×D3)⋊Dic3C2314yes—
120C2×#547—91noSylow
121C22×C3×D4—32no—
122C22×C3×D4—31no—
123C23×C3×C4—32no—
124C23×C3×C4—31no—
125C23×C3×C4—31no—
126C22×#67—31no—
127C22×#67—31no—
128C22×#67—32no—
129C22×#67—32no—
130C23×Dic3—32no—
131C23×Dic3—32no—
132C2×#237—316no—
133C2×#237—616no—
134C2×#235—316no—
135C2×#235—616no—
136C22×D12C2×D312yes—
137C22×D12C2×D311yescharacteristic
138C22×C4×D3—32no—
139C22×C4×D3—32no—
140C22×C4×D3C2×D312yes—
141C22×C4×D3C2×D311yescharacteristic
142C22×C4×D3C2×D311yescharacteristic
143C22×Dic6—32no—
144C22×Dic6—32no—
145C22×Dic6—62no—
146C3×#121—38no—
147C2×C3×C4⋊C4—21no—
148C2×C3×C4⋊C4—32no—
149C2×C3×C4⋊C4—31no—
150C2×C3×C4⋊C4—38no—
151C2×C3×C4⋊C4C2×D311yescharacteristic
152C2×C3×C4⋊C4C2×D311yescharacteristic
153C2×C3×C22⋊C4—32no—
154C2×#217—32no—
155C2×#217—32no—
156C2×#217—31no—
157C2×#217—31no—
158#938—38no—
159#935—316no—
160D4×Dic3—38no—
161#930—38no—
162#929—316no—
163C4×#67—38no—
164C4×#67—38no—
165C2×(C2×D3)⋊C4—31no—
166C2×(C2×D3)⋊C4—32no—
167C2×(C2×D3)⋊C4—31no—
168C2×(C2×D3)⋊C4—32no—
169C2×(C2×D3)⋊C4C2×D312yes—
170C2×C4⋊Dic3—31no—
171C2×C4⋊Dic3—31no—
172C2×C4⋊Dic3—32no—
173C2×C4⋊Dic3—38no—
174C2×C4⋊Dic3—61no—
175C2×C4⋊Dic3C2×D311yescharacteristic
176C2×Dic3⋊C4—32no—
177C2×Dic3⋊C4—32no—
178C2×Dic3⋊C4—31no—
179C2×Dic3⋊C4—32no—
180C2×Dic3⋊C4—31no—
181C2×Dic3⋊C4—62no—
182C2×Dic3⋊C4C2×D312yes—
183C2×C4×Dic3—31no—
184C2×C4×Dic3—31no—
185C2×C4×Dic3—61no—
186#896—316no—
187#895C2×D318yescomplemented
188#894—316no—
189#893—38no—
190D3×C4⋊C4—38no—
191D3×C4⋊C4C2×D318yescomplemented
192#888—38no—
193#888—38no—
194#888—68no—
195#883—316no—
196#878—316no—
197C23×C32C2411yescharacteristic
198C22×C3×D3—22no—
199C22×C3×D3—22no—
200C22×C3×D3—22no—
201C22×C3×D3—22no—
202C22×C3×D3—24no—
203C22×C3×D3—24no—
204C22×C3×D3—24no—
205C22×C3×D3C2×D414yes—
206C22×C3×D3C2×D414yes—
207C22×C3×D3C2414yes—
208C22×C3×D3C2412yes—
209C22×C3×D3C2412yes—
210C2×C32×C4—24no—
211C2×C32×C4#4114yescomplemented
212C2×C32×C4C2414yes—
213C2×C32×C4C2412yes—
214C2×C3⋊Dic3—22no—
215C2×C3⋊Dic3—24no—
216C2×C3⋊Dic3C2×D414yes—
217C2×C3⋊Dic3C2412yes—
218C2×C3⋊Dic3C2414yes—
219C2×C3⋊Dic3C2412yes—
220#634—216no—
221C2×C3×Dic3—24no—
222C2×C3×Dic3—22no—
223C2×C3×Dic3—22no—
224C2×C3×Dic3C2412yes—
225C2×C3×Dic3C2412yes—
226C2×C3×Dic3C2414yes—
227C3×D12—216no—
228C3×D12—28no—
229C3×C4×D3—216no—
230C3×C4×D3—28no—
231C3×C4×D3—28no—
232#625—216no—
233#625C2×D4116yescomplemented
234D3×Dic3—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—91no—
245C2×C4×D4—91no—
246C22×C4⋊C4—31no—
247C22×C4⋊C4—91no—
248C24×C3—31no—
249C24×C3—31no—
250C24×C3—32no—
251C23×D3C22×D312yes—
252C23×D3C22×D311yescharacteristic
253C23×D3C22×D311yescharacteristic
254C2×C3×D4—34no—
255C2×C3×D4—38no—
256C2×C3×D4—68no—
257C2×C3×D4—64no—
258C22×C3×C4—21no—
259C22×C3×C4—22no—
260C22×C3×C4—31no—
261C22×C3×C4—31no—
262C22×C3×C4—32no—
263C22×C3×C4—34no—
264C22×C3×C4—34no—
265C22×C3×C4—38no—
266C22×C3×C4—68no—
267C22×C3×C4—64no—
268C22×C3×C4—64no—
269C22×C3×C4C22×D312yes—
270C22×C3×C4C22×D312yes—
271C22×C3×C4C22×D311yescharacteristic
272C22×C3×C4C22×D311yescharacteristic
273C2×#67—38no—
274C2×#67—38no—
275C2×#67—34no—
276C2×#67—34no—
277C2×#67—38no—
278C2×#67—38no—
279C2×#67—68no—
280C2×#67—68no—
281C22×Dic3—31no—
282C22×Dic3—31no—
283C22×Dic3—31no—
284C22×Dic3—31no—
285C22×Dic3—32no—
286C22×Dic3—32no—
287C22×Dic3—38no—
288C22×Dic3—38no—
289C22×Dic3—61no—
290C22×Dic3—61no—
291C22×Dic3—62no—
292C22×Dic3—68no—
293C22×Dic3—68no—
294C22×Dic3C22×D311yescharacteristic
295C22×Dic3C22×D311yescharacteristic
296C22×Dic3C22×D312yes—
297#237—664no—
298#235—664no—
299C2×D12—28no—
300C2×D12—24no—
301C2×D12C22×D314yes—
302C2×D12C22×D318yes—
303C2×C4×D3—28no—
304C2×C4×D3—24no—
305C2×C4×D3—24no—
306C2×C4×D3—38no—
307C2×C4×D3—38no—
308C2×C4×D3—68no—
309C2×C4×D3—68no—
310C2×C4×D3C22×D318yes—
311C2×C4×D3C22×D314yes—
312C2×C4×D3C22×D314yes—
313C2×Dic6—38no—
314C2×Dic6—38no—
315C2×Dic6—68no—
316C2×Dic6—68no—
317C2×Dic6—68no—
318C2×Dic6—128no—
319C3×C4⋊C4—24no—
320C3×C4⋊C4—34no—
321C3×C4⋊C4—38no—
322C3×C4⋊C4C22×D314yes—
323C3×C4⋊C4C22×D314yes—
324C3×C22⋊C4—38no—
325#217—38no—
326#217—38no—
327#217—34no—
328#217—34no—
329(C2×D3)⋊C4—34no—
330(C2×D3)⋊C4—38no—
331(C2×D3)⋊C4—34no—
332(C2×D3)⋊C4—38no—
333(C2×D3)⋊C4C22×D318yes—
334C4⋊Dic3—34no—
335C4⋊Dic3—34no—
336C4⋊Dic3—38no—
337C4⋊Dic3—64no—
338C4⋊Dic3C22×D314yes—
339Dic3⋊C4—38no—
340Dic3⋊C4—38no—
341Dic3⋊C4—34no—
342Dic3⋊C4—38no—
343Dic3⋊C4—34no—
344Dic3⋊C4—68no—
345Dic3⋊C4C22×D318yes—
346C4×Dic3—34no—
347C4×Dic3—34no—
348C4×Dic3—64no—
349C22×C32C22×D412yes—
350C22×C32C2×#4112yes—
351C22×C322−1+412yes—
352C22×C32C2511yescharacteristic
353C2×C3×D3—28no—
354C2×C3×D3—28no—
355C2×C3×D3—22no—
356C2×C3×D3—22no—
357C2×C3×D3—22no—
358C2×C3×D3—22no—
359C2×C3×D3—24no—
360C2×C3×D3—24no—
361C2×C3×D3—24no—
362C2×C3×D3—48no—
363C2×C3×D3C22×D414yes—
364C2×C3×D3C22×D414yes—
365C32×C4—24no—
366C32×C4C2×#4114yescomplemented
367C3⋊Dic3—22no—
368C3⋊Dic3—24no—
369C3⋊Dic3C22×D414yes—
370C3×Dic3—24no—
371C3×Dic3—22no—
372C3×Dic3—22no—
373C2×#41—916no—
374C2×#41—1816no—
375C22×Q8—92no—
376C22×D4—31no—
377C22×D4—32no—
378C22×D4—91no—
379C22×D4—92no—
380C23×C4—31no—
381C23×C4—32no—
382C23×C4—31no—
383C23×C4—92no—
384C23×C4—92no—
385C4⋊Q8—98no—
386#123—916no—
387#123—916no—
388C22⋊Q8—916no—
389#121—38no—
390#121—98no—
391C4×D4—98no—
392C4×D4—98no—
393C2×C4⋊C4—31no—
394C2×C4⋊C4—32no—
395C2×C4⋊C4—38no—
396C2×C4⋊C4—98no—
397C2×C4⋊C4—92no—
398C2×C4⋊C4—91no—
399C2×C4⋊C4—91no—
400C2×C4⋊C4—92no—
401C2×C4⋊C4D3211yescharacteristic
402C2×C22⋊C4—32no—
403C2×C22⋊C4—91no—
404C2×C22⋊C4—91no—
405C2×C22⋊C4—92no—
406C2×C22⋊C4—92no—
407C2×C42—91no—
408C23×C3—21no—
409C23×C3—34no—
410C23×C3—34no—
411C23×C3—32no—
412C23×C3—32no—
413C23×C3—34no—
414C23×C3—62no—
415C23×C3—62no—
416C23×C3—62no—
417C23×C3—62no—
418C23×C3—64no—
419C23×C3—64no—
420C23×C3—64no—
421C23×C3C23×D311yescharacteristic
422C23×C3C23×D311yescharacteristic
423C22×D3—22no—
424C22×D3—22no—
425C22×D3—22no—
426C22×D3—22no—
427C22×D3—24no—
428C22×D3—24no—
429C22×D3—24no—
430C22×D3D3×D414yes—
431C22×D3D3×D414yes—
432C22×D3C23×D314yes—
433C22×D3C23×D312yes—
434C22×D3C23×D312yes—
435C3×D4—616no—
436C3×D4—68no—
437C2×C3×C4—24no—
438C2×C3×C4—24no—
439C2×C3×C4—22no—
440C2×C3×C4—24no—
441C2×C3×C4—24no—
442C2×C3×C4—32no—
443C2×C3×C4—32no—
444C2×C3×C4—34no—
445C2×C3×C4—44no—
446C2×C3×C4—616no—
447C2×C3×C4—62no—
448C2×C3×C4—64no—
449C2×C3×C4—62no—
450C2×C3×C4—68no—
451C2×C3×C4—68no—
452C2×C3×C4#23514yescomplemented
453C2×C3×C4#23714yescomplemented
454C2×C3×C4C23×D314yes—
455C2×C3×C4C23×D314yes—
456C2×C3×C4C23×D312yes—
457C2×C3×C4C23×D312yes—
458#67—316no—
459#67—316no—
460#67—616no—
461#67—616no—
462C2×Dic3—22no—
463C2×Dic3—24no—
464C2×Dic3—22no—
465C2×Dic3—34no—
466C2×Dic3—34no—
467C2×Dic3—32no—
468C2×Dic3—32no—
469C2×Dic3—32no—
470C2×Dic3—32no—
471C2×Dic3—34no—
472C2×Dic3—34no—
473C2×Dic3—64no—
474C2×Dic3—62no—
475C2×Dic3—62no—
476C2×Dic3—64no—
477C2×Dic3—616no—
478C2×Dic3—616no—
479C2×Dic3—64no—
480C2×Dic3—64no—
481C2×Dic3—64no—
482C2×Dic3—62no—
483C2×Dic3—62no—
484C2×Dic3—124no—
485C2×Dic3C23×D312yes—
486C2×Dic3C23×D312yes—
487C2×Dic3C23×D314yes—
488D12—216no—
489D12—28no—
490C4×D3—216no—
491C4×D3—28no—
492C4×D3—28no—
493C4×D3—616no—
494C4×D3—616no—
495Dic6—616no—
496Dic6—616no—
497Dic6—1216no—
498C2×C32#54714yescomplemented
499C2×C32C23×D411yescharacteristic
500C2×C32C22×#4111yescharacteristic
501C2×C32C2×2−1+411yescharacteristic
502C3×D3—24no—
503C3×D3—24no—
504C3×D3—44no—
505C24—31no—
506C24—31no—
507C24—32no—
508#41—1864no—
509C2×Q8—98no—
510C2×Q8—188no—
511C2×D4—34no—
512C2×D4—38no—
513C2×D4—68no—
514C2×D4—64no—
515C2×D4—94no—
516C2×D4—98no—
517C2×D4—98no—
518C2×D4—188no—
519C22×C4—31no—
520C22×C4—31no—
521C22×C4—32no—
522C22×C4—34no—
523C22×C4—38no—
524C22×C4—34no—
525C22×C4—68no—
526C22×C4—64no—
527C22×C4—64no—
528C22×C4—98no—
529C22×C4—98no—
530C22×C4—91no—
531C22×C4—91no—
532C22×C4—92no—
533C22×C4—188no—
534C22×C4—188no—
535C22×C4C2×D3212yes—
536C22×C4C2×D3211yescharacteristic
537C4⋊C4—34no—
538C4⋊C4—38no—
539C4⋊C4—98no—
540C4⋊C4—94no—
541C4⋊C4—94no—
542C4⋊C4—98no—
543C4⋊C4C2×D3214yes—
544C22⋊C4—38no—
545C22⋊C4—94no—
546C22⋊C4—94no—
547C22⋊C4—98no—
548C22⋊C4—98no—
549C42—94no—
550C22×C3—22no—
551C22×C3—22no—
552C22×C3—22no—
553C22×C3—21no—
554C22×C3—34no—
555C22×C3—34no—
556C22×C3—62no—
557C22×C3—62no—
558C22×C3—62no—
559C22×C3—62no—
560C22×C3—68no—
561C22×C3—68no—
562C22×C3—64no—
563C22×C3—64no—
564C22×C3—64no—
565C22×C3—128no—
566C22×C3C2×#23512yes—
567C22×C3C2×D3×D412yes—
568C22×C3C2×D3×D412yes—
569C22×C3C2×#23712yes—
570C22×C3#100712yes—
571C22×C3#101012yes—
572C22×C3C24×D311yescharacteristic
573C22×C3C24×D311yescharacteristic
574C2×D3—22no—
575C2×D3—22no—
576C2×D3—22no—
577C2×D3—22no—
578C2×D3—28no—
579C2×D3—28no—
580C2×D3—24no—
581C2×D3—24no—
582C2×D3—24no—
583C2×D3—48no—
584C2×D3C2×D3×D414yes—
585C2×D3C2×D3×D414yes—
586C3×C4—24no—
587C3×C4—24no—
588C3×C4—24no—
589C3×C4—44no—
590C3×C4—62no—
591C3×C4—64no—
592C3×C4—62no—
593C3×C4C2×#23514yescomplemented
594C3×C4C2×#23714yescomplemented
595Dic3—22no—
596Dic3—24no—
597Dic3—22no—
598Dic3—34no—
599Dic3—34no—
600Dic3—64no—
601Dic3—64no—
602Dic3—64no—
603Dic3—64no—
604Dic3—62no—
605Dic3—62no—
606Dic3—124no—
607C32C2×#54711yescharacteristic, complemented, Sylow
608C23—34no—
609C23—34no—
610C23—32no—
611C23—32no—
612C23—34no—
613C23—62no—
614C23—62no—
615C23—62no—
616C23—62no—
617C23—64no—
618C23—64no—
619C23—64no—
620C23C22×D3211yescharacteristic
621Q8—1816no—
622D4—616no—
623D4—68no—
624D4—916no—
625D4—1816no—
626C2×C4—24no—
627C2×C4—32no—
628C2×C4—32no—
629C2×C4—34no—
630C2×C4—616no—
631C2×C4—62no—
632C2×C4—62no—
633C2×C4—64no—
634C2×C4—68no—
635C2×C4—68no—
636C2×C4—94no—
637C2×C4—92no—
638C2×C4—92no—
639C2×C4—94no—
640C2×C4—1816no—
641C2×C4—1816no—
642C2×C4—184no—
643C2×C4—182no—
644C2×C4#379514yescomplemented
645C2×C4C22×D3214yes—
646C2×C4C22×D3212yes—
647C2×C3—21no—
648C2×C3—21no—
649C2×C3—24no—
650C2×C3—21no—
651C2×C3—64no—
652C2×C3—64no—
653C2×C3—124no—
654C2×C3#550714yescomplemented
655C2×C3#561114yescomplemented
656C2×C3C22×#23511yescharacteristic
657C2×C3C22×D3×D411yescharacteristic
658C2×C3C22×D3×D411yescharacteristic
659C2×C3C22×#23711yescharacteristic
660C2×C3C2×#100711yescharacteristic
661C2×C3C2×#101011yescharacteristic
662D3—24no—
663D3—24no—
664D3—44no—
665C22—34no—
666C22—34no—
667C22—62no—
668C22—62no—
669C22—68no—
670C22—68no—
671C22—62no—
672C22—62no—
673C22—64no—
674C22—64no—
675C22—64no—
676C22—128no—
677C22C2×#379512yes—
678C22D32×D412yes—
679C22#6431512yes—
680C22C23×D3211yescharacteristic
681C4—24no—
682C4—62no—
683C4—62no—
684C4—64no—
685C4—94no—
686C4—184no—
687C4—182no—
688C4C2×#379514yescomplemented
689C3—21no—
690C3C2×#550711yescharacteristic, complemented
691C3C2×#561111yescharacteristic, complemented
692C2—64no—
693C2—64no—
694C2—124no—
695C2#1059437014yesdirect product factor
696C2C22×#379511yescharacteristic
697C2C2×D32×D411yescharacteristic
698C2C2×#6431511yescharacteristic
subgroupG/H
centerC23C22×D32
commutator, cosocleC22×C32C25
FrattiniC22C23×D32
FittingC2×C32×C4⋊C4C22
socleC23×C32C24
hypercenterC2×C4⋊C4D32
hypocenterC32C2×#547
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×D3×C4⋊C4C2semidirect
5. C2×#63908C2semidirect
6. C2×#63905C2semidirect
7. C2×C4×#625C2semidirect
8. C2×#63898C2semidirect
9. C2×#63896C2semidirect
10. C2×D3×C4⋊Dic3C2semidirect
11. C2×#63884C2semidirect
12. #10594370C2direct (N × H)
26. C2×#3795C22semidirect
31. #64097C22semidirect
35. C3×#895C22semidirect
36. C3×D3×C4⋊C4C22semidirect
43. #63908C22semidirect
44. #63905C22semidirect
45. C4×#625C22semidirect
46. #63898C22semidirect
47. #63896C22semidirect
48. D3×C4⋊Dic3C22semidirect
49. #63884C22semidirect
65. C2×#895D3semidirect
69. C2×D3×C4⋊C4D3semidirect
99. C2×#625D4semidirect
187. #895C2×D3semidirect
191. D3×C4⋊C4C2×D3semidirect
211. C2×C32×C4#41semidirect
233. #625C2×D4semidirect
366. C32×C4C2×#41semidirect
452. C2×C3×C4#235semidirect
453. C2×C3×C4#237semidirect
498. C2×C32#547semidirect
593. C3×C4C2×#235semidirect
594. C3×C4C2×#237semidirect
607. C32C2×#547semidirect
644. C2×C4#3795semidirect
654. C2×C3#5507semidirect
655. C2×C3#5611semidirect
688. C4C2×#3795semidirect
690. C3C2×#5507semidirect
691. C3C2×#5611semidirect
695. C2#10594370direct (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×D3×C4⋊C42
C2×#639082
C2×#639052
C2×C4×#6252
C2×#638982
C2×#638962
C2×D3×C4⋊Dic32
C2×#638842
#105943702
C2×#56113
C2×#55073