Finite Group Databasebeta

← C2×#10594081 #11901112

Subgroups — C2×#10594081 #11901112

Order 1152.

3195 conjugacy classes of subgroups.

The subgroup lattice has 692 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C23×#627C211yesmaximal, characteristic, complemented
2C22×#3804C211yesmaximal, characteristic
3C2×#64095C211yesmaximal, characteristic, complemented
4C2×C3×#886C211yesmaximal, characteristic, complemented
5C2×C3×#877C211yesmaximal, characteristic, complemented
6C2×#63966C211yesmaximal, characteristic, complemented
7C2×#63962C211yesmaximal, characteristic, complemented
8C2×#63918C212yesmaximal, complemented
9C2×#63895C212yesmaximal, complemented
10C2×#63893C212yesmaximal, complemented
11C2×#63852C212yesmaximal, complemented
12#10594081C2116yesmaximal, direct product factor
13C2×#5648—31nomaximal
14C2×#5526—31nomaximal
15C22×#638C2211yescharacteristic
16C23×C3⋊Dic3C2211yescharacteristic
17C22×C3×#67C2211yescharacteristic
18C23×C3×Dic3C2211yescharacteristic
19C23×C3×Dic3C2211yescharacteristic
20C22×#627—28no—
21C22×#627C2212yes—
22C22×#627C2211yescharacteristic
23C22×#627C2212yes—
24C22×#627C2218yescomplemented
25C22×#626C2211yescharacteristic
26C22×#624C2211yescharacteristic
27C2×#3804—28no—
28C2×#3804C2218yes—
29C22×D3×Dic3C2211yescharacteristic
30C2×C32×C22⋊C4C2211yescharacteristic
31C2×#3752C2212yes—
32C2×C4⋊(C3⋊Dic3)C2212yes—
33#64095C2218yescomplemented
34C2×C3×#217C2211yescharacteristic
35C2×C3×(C2×D3)⋊C4C2212yes—
36C2×C3×C4⋊Dic3C2212yes—
37C2×C3×Dic3⋊C4C2212yes—
38C2×C3×C4×Dic3C2212yes—
39C3×#886C2218yescomplemented
40C3×#877C2218yescomplemented
41#63966C2218yescomplemented
42C2×Dic3⋊Dic3C2212yes—
43C2×Dic3⋊Dic3C2212yes—
44C2×#3722C2212yes—
45#63962C2218yescomplemented
46C2×(C2×D3)⋊Dic3C2212yes—
47#63918C22116yescomplemented
48#63895C22116yescomplemented
49#63893C22116yescomplemented
50#63852C22116yescomplemented
51C22×#237—31no—
52C22×#235—31no—
53C23×Dic6—31no—
54C23×Dic6—31no—
55C2×C3×#123—31no—
56C2×C3×#117—31no—
57C2×#935—31no—
58C2×#929—31no—
59#5648—316no—
60#5526—316no—
61C2×#897—32no—
62C2×#897—32no—
63C2×#896—32no—
64C2×#888—32no—
65C2×#886—31no—
66C2×#886—31no—
67C2×#886—31no—
68C2×#886—31no—
69C2×#886—61no—
70C2×#886D311yescharacteristic, complemented
71C2×#885—32no—
72C2×#878—32no—
73C2×#877D311yescharacteristic, complemented
74C2×#875—32no—
75C2×#869—32no—
76C24×C32C2311yescharacteristic
77C23×C3⋊D3C2311yescharacteristic
78C23×C3×D3C2311yescharacteristic
79C22×C32×C4C2312yes—
80C2×#638—24no—
81C2×#638C2314yes—
82C22×C3⋊Dic3—24no—
83C22×C3⋊Dic3C2311yescharacteristic
84C22×C3⋊Dic3C2312yes—
85C22×C3⋊Dic3C2314yes—
86C2×C3×#67—24no—
87C2×C3×#67C2314yes—
88C22×C3×Dic3—24no—
89C22×C3×Dic3D418yes—
90C22×C3×Dic3C2314yes—
91C22×C3×Dic3C2312yes—
92C22×C3×Dic3C2311yescharacteristic
93C22×C3×Dic3C2312yes—
94C22×C3×Dic3C2314yes—
95C22×C3×Dic3C2311yescharacteristic
96C22×C3×Dic3C2311yescharacteristic
97C2×#627—24no—
98C2×#627—28no—
99C2×#627—28no—
100C2×#627—232no—
101C2×#627C2314yes—
102C2×#627C2318yes—
103C2×#627C2318yes—
104C2×#626—24no—
105C2×#626C2314yes—
106C2×#624—24no—
107C2×#624C2314yes—
108#3804—232no—
109C2×D3×Dic3—24no—
110C2×D3×Dic3C2314yes—
111C32×C22⋊C4C2314yes—
112#3752C2318yes—
113C4⋊(C3⋊Dic3)C2318yes—
114C3×#217C2314yes—
115C3×(C2×D3)⋊C4C2318yes—
116C3×C4⋊Dic3C2318yes—
117C3×Dic3⋊C4C2318yes—
118C3×C4×Dic3C2318yes—
119Dic3⋊Dic3C2318yes—
120Dic3⋊Dic3C2318yes—
121#3722C2318yes—
122(C2×D3)⋊Dic3C2318yes—
123C2×#536—91noSylow
124C22×C3×D4—31no—
125C23×C3×C4—31no—
126C23×C3×C4—31no—
127C22×#67—31no—
128C22×#67—31no—
129C22×#67—31no—
130C22×#67—61no—
131C22×#67C2×D311yescharacteristic
132C23×Dic3—31no—
133C23×Dic3—31no—
134C23×Dic3—31no—
135C23×Dic3—61no—
136C23×Dic3C2×D311yescharacteristic
137C23×Dic3C2×D311yescharacteristic
138C2×#237—38no—
139C2×#237—68no—
140C2×#235—38no—
141C2×#235—68no—
142C22×D12—31no—
143C22×C4×D3—31no—
144C22×C4×D3—31no—
145C22×C4×D3—31no—
146C22×Dic6—38no—
147C22×Dic6—32no—
148C22×Dic6—32no—
149C22×Dic6—32no—
150C22×Dic6—32no—
151C22×Dic6—38no—
152C22×Dic6—31no—
153C22×Dic6—31no—
154C22×Dic6—68no—
155C22×Dic6—68no—
156C3×#123—38no—
157C3×#117—38no—
158C2×C3×C4⋊C4—32no—
159C2×C3×C4⋊C4—32no—
160C2×C3×C22⋊C4—21no—
161C2×C3×C22⋊C4—31no—
162C2×C3×C22⋊C4—32no—
163C2×C3×C22⋊C4C2×D311yescharacteristic
164C2×C3×C22⋊C4C2×D311yescharacteristic
165C2×C3×C42—32no—
166C2×#217—32no—
167C2×#217C2×D311yescharacteristic
168#935—38no—
169#929—38no—
170C2×(C2×D3)⋊C4—32no—
171C2×(C2×D3)⋊C4—32no—
172C2×(C2×D3)⋊C4—32no—
173C2×(C2×D3)⋊C4—32no—
174C2×(C2×D3)⋊C4—32no—
175C2×(C2×D3)⋊C4—62no—
176C2×(C2×D3)⋊C4C2×D312yes—
177C2×C4⋊Dic3—32no—
178C2×C4⋊Dic3—32no—
179C2×C4⋊Dic3—32no—
180C2×C4⋊Dic3—32no—
181C2×C4⋊Dic3—62no—
182C2×C4⋊Dic3C2×D312yes—
183C2×Dic3⋊C4—32no—
184C2×Dic3⋊C4—32no—
185C2×Dic3⋊C4C2×D312yes—
186C2×C4×Dic3C2×D312yes—
187#897—316no—
188#897—316no—
189#896—316no—
190#888—316no—
191#886—38no—
192#886—38no—
193#886—38no—
194#886—38no—
195#886—68no—
196#886C2×D318yescomplemented
197#885—316no—
198#878—316no—
199#877C2×D318yescomplemented
200#875—316no—
201#869—316no—
202C23×C32—24no—
203C23×C32C2×D414yes—
204C23×C32C2412yes—
205C23×C32C2411yescharacteristic
206C22×C3⋊D3—22no—
207C22×C3⋊D3—24no—
208C22×C3⋊D3C2412yes—
209C22×C3×D3—22no—
210C22×C3×D3—24no—
211C22×C3×D3C2412yes—
212C2×C32×C4—24no—
213C2×C32×C4C2414yes—
214#638—28no—
215C2×C3⋊Dic3—22no—
216C2×C3⋊Dic3—28no—
217C2×C3⋊Dic3—24no—
218C2×C3⋊Dic3C2414yes—
219C2×C3⋊Dic3C2412yes—
220C3×#67—28no—
221C2×C3×Dic3—22no—
222C2×C3×Dic3—28no—
223C2×C3×Dic3—24no—
224C2×C3×Dic3—24no—
225C2×C3×Dic3C2×D414yes—
226C2×C3×Dic3C2×D4116yes—
227C2×C3×Dic3C2×D414yes—
228C2×C3×Dic3C2414yes—
229C2×C3×Dic3C2414yes—
230C2×C3×Dic3C2412yes—
231C2×C3×Dic3C2412yes—
232C2×C3×Dic3C2412yes—
233#627—28no—
234#627—216no—
235#627—216no—
236#626—28no—
237#624—28no—
238D3×Dic3—28no—
239C22×#41—91no—
240C23×Q8—91no—
241#536—916no—
242C2×C4⋊Q8—92no—
243C2×#124—92no—
244C2×#123—31no—
245C2×#123—91no—
246C2×#123—91no—
247C2×#123—91no—
248C2×C22⋊Q8—92no—
249C2×C22⋊Q8—92no—
250C2×#117—31no—
251C24×C3—21no—
252C24×C3—31no—
253C24×C3C22×D311yescharacteristic
254C24×C3C22×D311yescharacteristic
255C23×D3—31no—
256C23×D3—31no—
257C23×D3—61no—
258C23×D3C22×D311yescharacteristic
259C2×C3×D4—34no—
260C2×C3×D4—64no—
261C22×C3×C4—22no—
262C22×C3×C4—38no—
263C22×C3×C4—31no—
264C22×C3×C4—31no—
265C22×C3×C4—34no—
266C22×C3×C4—31no—
267C22×C3×C4—32no—
268C22×C3×C4—32no—
269C22×C3×C4—34no—
270C22×C3×C4—64no—
271C22×C3×C4C22×D312yes—
272C22×C3×C4C22×D312yes—
273C2×#67—24no—
274C2×#67—34no—
275C2×#67—34no—
276C2×#67—34no—
277C2×#67—64no—
278C2×#67—64no—
279C2×#67—64no—
280C2×#67—64no—
281C2×#67—124no—
282C2×#67C22×D314yes—
283C22×Dic3—24no—
284C22×Dic3—34no—
285C22×Dic3—34no—
286C22×Dic3—31no—
287C22×Dic3—32no—
288C22×Dic3—31no—
289C22×Dic3—32no—
290C22×Dic3—34no—
291C22×Dic3—64no—
292C22×Dic3—61no—
293C22×Dic3—62no—
294C22×Dic3—64no—
295C22×Dic3—64no—
296C22×Dic3—64no—
297C22×Dic3—124no—
298C22×Dic3D1218yes—
299C22×Dic3C22×D314yes—
300C22×Dic3C22×D312yes—
301C22×Dic3C22×D311yescharacteristic
302C22×Dic3C22×D312yes—
303C22×Dic3C22×D314yes—
304C22×Dic3C22×D311yescharacteristic
305C22×Dic3C22×D311yescharacteristic
306#237—632no—
307#235—632no—
308C2×D12—34no—
309C2×D12—64no—
310C2×C4×D3—34no—
311C2×C4×D3—34no—
312C2×C4×D3—34no—
313C2×C4×D3—64no—
314C2×C4×D3—64no—
315C2×C4×D3—64no—
316C2×Dic6—34no—
317C2×Dic6—38no—
318C2×Dic6—38no—
319C2×Dic6—38no—
320C2×Dic6—34no—
321C2×Dic6—38no—
322C2×Dic6—68no—
323C2×Dic6—68no—
324C2×Dic6—632no—
325C2×Dic6—64no—
326C2×Dic6—68no—
327C2×Dic6—68no—
328C2×Dic6—632no—
329C2×Dic6—64no—
330C3×C4⋊C4—38no—
331C3×C4⋊C4—38no—
332C3×C22⋊C4—24no—
333C3×C22⋊C4—34no—
334C3×C22⋊C4—38no—
335C3×C22⋊C4C22×D314yes—
336C3×C22⋊C4C22×D314yes—
337C3×C42—38no—
338#217—38no—
339#217C22×D314yes—
340(C2×D3)⋊C4—38no—
341(C2×D3)⋊C4—38no—
342(C2×D3)⋊C4—38no—
343(C2×D3)⋊C4—38no—
344(C2×D3)⋊C4—38no—
345(C2×D3)⋊C4—68no—
346(C2×D3)⋊C4C22×D318yes—
347C4⋊Dic3—38no—
348C4⋊Dic3—38no—
349C4⋊Dic3—38no—
350C4⋊Dic3—38no—
351C4⋊Dic3—68no—
352C4⋊Dic3C22×D318yes—
353Dic3⋊C4—38no—
354Dic3⋊C4—38no—
355Dic3⋊C4C22×D318yes—
356C4×Dic3C22×D318yes—
357C22×C32—28no—
358C22×C32—24no—
359C22×C32C22×D414yes—
360C22×C32C22×D412yes—
361C22×C322−1+414yes—
362C22×C32C2511yescharacteristic
363C2×C3⋊D3—22no—
364C2×C3⋊D3—24no—
365C2×C3⋊D3—44no—
366C2×C3×D3—22no—
367C2×C3×D3—24no—
368C2×C3×D3—44no—
369C32×C4—24no—
370C3⋊Dic3—22no—
371C3⋊Dic3—24no—
372C3×Dic3—22no—
373C3×Dic3—24no—
374C3×Dic3—24no—
375C3×Dic3C22×D414yes—
376C3×Dic3C22×D414yes—
377C2×#41—98no—
378C2×#41—188no—
379C22×Q8—92no—
380C22×Q8—92no—
381C22×Q8—91no—
382C22×Q8—98no—
383C22×Q8—188no—
384C22×D4—31no—
385C22×D4—91no—
386C22×D4—91no—
387C23×C4—31no—
388C23×C4—31no—
389C23×C4—91no—
390C23×C4—91no—
391C23×C4—91no—
392C4⋊Q8—916no—
393#124—916no—
394#123—38no—
395#123—98no—
396#123—98no—
397#123—98no—
398C22⋊Q8—916no—
399C22⋊Q8—916no—
400#117—38no—
401C2×C4⋊C4—32no—
402C2×C4⋊C4—32no—
403C2×C4⋊C4—92no—
404C2×C4⋊C4—92no—
405C2×C4⋊C4—92no—
406C2×C22⋊C4—31no—
407C2×C22⋊C4—32no—
408C2×C22⋊C4—92no—
409C2×C22⋊C4—92no—
410C2×C22⋊C4—92no—
411C2×C22⋊C4D3211yescharacteristic
412C2×C42—32no—
413C23×C3—24no—
414C23×C3—24no—
415C23×C3—22no—
416C23×C3—21no—
417C23×C3—24no—
418C23×C3—32no—
419C23×C3—44no—
420C23×C3—62no—
421C23×C3—64no—
422C23×C3C2×D1214yes—
423C23×C3D3×D414yes—
424C23×C3C23×D312yes—
425C23×C3C23×D312yes—
426C23×C3C23×D311yescharacteristic
427C23×C3C23×D311yescharacteristic
428C22×D3—22no—
429C22×D3—24no—
430C22×D3—32no—
431C22×D3—32no—
432C22×D3—62no—
433C22×D3—62no—
434C22×D3—62no—
435C22×D3—64no—
436C22×D3—64no—
437C22×D3—122no—
438C22×D3—124no—
439C22×D3C23×D312yes—
440C3×D4—68no—
441C2×C3×C4—24no—
442C2×C3×C4—24no—
443C2×C3×C4—24no—
444C2×C3×C4—34no—
445C2×C3×C4—34no—
446C2×C3×C4—316no—
447C2×C3×C4—32no—
448C2×C3×C4—32no—
449C2×C3×C4—32no—
450C2×C3×C4—34no—
451C2×C3×C4—34no—
452C2×C3×C4—44no—
453C2×C3×C4—68no—
454C2×C3×C4—64no—
455C2×C3×C4—62no—
456C2×C3×C4—64no—
457C2×C3×C4C23×D314yes—
458C2×C3×C4C23×D314yes—
459#67—28no—
460#67—68no—
461#67—68no—
462#67—68no—
463#67—128no—
464C2×Dic3—28no—
465C2×Dic3—24no—
466C2×Dic3—22no—
467C2×Dic3—24no—
468C2×Dic3—32no—
469C2×Dic3—34no—
470C2×Dic3—32no—
471C2×Dic3—34no—
472C2×Dic3—62no—
473C2×Dic3—64no—
474C2×Dic3—68no—
475C2×Dic3—64no—
476C2×Dic3—62no—
477C2×Dic3—68no—
478C2×Dic3—64no—
479C2×Dic3—62no—
480C2×Dic3—68no—
481C2×Dic3—124no—
482C2×Dic3—128no—
483C2×Dic3—122no—
484C2×Dic3C2×D1214yes—
485C2×Dic3C2×D1214yes—
486C2×Dic3C2×D12116yes—
487C2×Dic3C23×D314yes—
488C2×Dic3C23×D312yes—
489C2×Dic3C23×D314yes—
490C2×Dic3C23×D312yes—
491C2×Dic3C23×D312yes—
492D12—68no—
493C4×D3—68no—
494C4×D3—68no—
495C4×D3—68no—
496Dic6—616no—
497Dic6—616no—
498Dic6—68no—
499Dic6—616no—
500Dic6—616no—
501Dic6—68no—
502C2×C32—24no—
503C2×C32#53614yescomplemented
504C2×C32C23×D411yescharacteristic
505C2×C32C2×2−1+412yes—
506C3⋊D3—42no—
507C3×D3—42no—
508C24—31no—
509C24—91no—
510C24C2×D3211yescharacteristic
511#41—1832no—
512C2×Q8—98no—
513C2×Q8—98no—
514C2×Q8—94no—
515C2×Q8—188no—
516C2×Q8—188no—
517C2×Q8—1832no—
518C2×Q8—184no—
519C2×D4—34no—
520C2×D4—64no—
521C2×D4—94no—
522C2×D4—94no—
523C2×D4—184no—
524C2×D4—184no—
525C22×C4—34no—
526C22×C4—31no—
527C22×C4—31no—
528C22×C4—38no—
529C22×C4—34no—
530C22×C4—32no—
531C22×C4—32no—
532C22×C4—31no—
533C22×C4—64no—
534C22×C4—94no—
535C22×C4—94no—
536C22×C4—94no—
537C22×C4—92no—
538C22×C4—91no—
539C22×C4—184no—
540C22×C4—184no—
541C22×C4—184no—
542C22×C4C2×D3212yes—
543C4⋊C4—38no—
544C4⋊C4—38no—
545C4⋊C4—98no—
546C4⋊C4—98no—
547C4⋊C4—98no—
548C22⋊C4—34no—
549C22⋊C4—38no—
550C22⋊C4—98no—
551C22⋊C4—98no—
552C22⋊C4—98no—
553C22⋊C4C2×D3214yes—
554C42—38no—
555C22×C3—28no—
556C22×C3—24no—
557C22×C3—24no—
558C22×C3—28no—
559C22×C3—22no—
560C22×C3—24no—
561C22×C3—24no—
562C22×C3—21no—
563C22×C3—48no—
564C22×C3—44no—
565C22×C3—62no—
566C22×C3—64no—
567C22×C3—124no—
568C22×C3C22×D1214yes—
569C22×C3C22×D1212yes—
570C22×C3C2×D3×D414yes—
571C22×C3C2×D3×D412yes—
572C22×C3#101014yes—
573C22×C3#101014yes—
574C22×C3C24×D311yescharacteristic
575C22×C3C24×D311yescharacteristic
576C2×D3—22no—
577C2×D3—24no—
578C2×D3—44no—
579C2×D3—62no—
580C2×D3—62no—
581C2×D3—64no—
582C2×D3—64no—
583C2×D3—122no—
584C2×D3—124no—
585C2×D3—124no—
586C2×D3—124no—
587C2×D3—244no—
588C3×C4—24no—
589C3×C4—24no—
590C3×C4—34no—
591C3×C4—34no—
592C3×C4—44no—
593C3×C4—64no—
594C3×C4—62no—
595C3×C4—64no—
596Dic3—24no—
597Dic3—22no—
598Dic3—24no—
599Dic3—64no—
600Dic3—62no—
601Dic3—64no—
602Dic3—62no—
603Dic3—124no—
604Dic3—122no—
605Dic3C22×D1214yes—
606Dic3C22×D1214yes—
607C32C2×#53611yescharacteristic, complemented, Sylow
608C23—24no—
609C23—32no—
610C23—62no—
611C23—64no—
612C23—92no—
613C23—182no—
614C23—184no—
615C23D3×D1214yes—
616C23C22×D3212yes—
617C23C22×D3211yescharacteristic
618Q8—1816no—
619Q8—1816no—
620Q8—188no—
621D4—68no—
622D4—188no—
623D4—188no—
624C2×C4—24no—
625C2×C4—34no—
626C2×C4—34no—
627C2×C4—316no—
628C2×C4—32no—
629C2×C4—32no—
630C2×C4—34no—
631C2×C4—34no—
632C2×C4—32no—
633C2×C4—68no—
634C2×C4—64no—
635C2×C4—62no—
636C2×C4—64no—
637C2×C4—94no—
638C2×C4—92no—
639C2×C4—188no—
640C2×C4—188no—
641C2×C4—182no—
642C2×C4—188no—
643C2×C4—184no—
644C2×C4C22×D3214yes—
645C2×C3—24no—
646C2×C3—24no—
647C2×C3—24no—
648C2×C3—21no—
649C2×C3—22no—
650C2×C3—44no—
651C2×C3—122no—
652C2×C3#552614yescomplemented
653C2×C3#564814yescomplemented
654C2×C3C23×D1211yescharacteristic
655C2×C3C22×D3×D411yescharacteristic
656C2×C3C2×#101012yes—
657C2×C3C2×#101012yes—
658D3—42no—
659D3—122no—
660D3—122no—
661D3—242no—
662C22—28no—
663C22—24no—
664C22—62no—
665C22—64no—
666C22—124no—
667C22—182no—
668C22—184no—
669C22—364no—
670C22C2×D3×D1214yes—
671C22C2×D3×D1212yes—
672C22#6430914yes—
673C22C23×D3211yescharacteristic
674C4—24no—
675C4—34no—
676C4—34no—
677C4—64no—
678C4—62no—
679C4—64no—
680C4—182no—
681C4—184no—
682C3—21no—
683C3C2×#552611yescharacteristic, complemented
684C3C2×#564811yescharacteristic, complemented
685C2—24no—
686C2—122no—
687C2—362no—
688C2#1059408114yesdirect product factor
689C2C22×D3×D1211yescharacteristic
690C2C2×#6430912yes—
subgroupG/H
centerC23C22×D32
commutator, cosocleC22×C32C25
FrattiniC22C23×D32
FittingC2×C32×C22⋊C4C22
socleC23×C32C24
prime radicalC22×#3804C2
hypercenterC2×C22⋊C4D32
hypocenterC32C2×#536
LCSG ▷ C22×C32 ▷ C32
UCSC1 ◁ C23 ◁ C2×C22⋊C4

Complements

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

NH ≅ G/Ntype
1. C23×#627C2semidirect
3. C2×#64095C2semidirect
4. C2×C3×#886C2semidirect
5. C2×C3×#877C2semidirect
6. C2×#63966C2semidirect
7. C2×#63962C2semidirect
8. C2×#63918C2semidirect
9. C2×#63895C2semidirect
10. C2×#63893C2semidirect
11. C2×#63852C2semidirect
12. #10594081C2direct (N × H)
24. C22×#627C22semidirect
33. #64095C22semidirect
39. C3×#886C22semidirect
40. C3×#877C22semidirect
41. #63966C22semidirect
45. #63962C22semidirect
47. #63918C22semidirect
48. #63895C22semidirect
49. #63893C22semidirect
50. #63852C22semidirect
70. C2×#886D3semidirect
73. C2×#877D3semidirect
196. #886C2×D3semidirect
199. #877C2×D3semidirect
503. C2×C32#536semidirect
607. C32C2×#536semidirect
652. C2×C3#5526semidirect
653. C2×C3#5648semidirect
683. C3C2×#5526semidirect
684. C3C2×#5648semidirect
688. C2#10594081direct (N × H)

Maximal subgroups

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

subgroupindex
C23×#6272
C22×#38042
C2×#640952
C2×C3×#8862
C2×C3×#8772
C2×#639662
C2×#639622
C2×#639182
C2×#638952
C2×#638932
C2×#638522
#105940812
C2×#56483
C2×#55263