Finite Group Databasebeta

← C2×#10594838 #11903333

Subgroups — C2×#10594838 #11903333

Order 1152.

2693 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
1C2×#64139C211yesmaximal, characteristic, complemented
2C2×C3×C4×#67C211yesmaximal, characteristic, complemented
3C2×C3×#926C211yesmaximal, characteristic, complemented
4C2×#63958C212yesmaximal, complemented
5C2×#63953C212yesmaximal, complemented
6C2×#63918C211yesmaximal, characteristic, complemented
7C2×#63909C211yesmaximal, characteristic, complemented
8C2×#63894C211yesmaximal, characteristic, complemented
9#10594838C2116yesmaximal, direct product factor
10C2×#63852C212yesmaximal, complemented
11C2×#63841C211yesmaximal, characteristic, complemented
12C2×#63836C212yesmaximal, complemented
13C2×#5563—31nomaximal
14C2×#5532—31nomaximal
15C23×C32×C4C2211yescharacteristic
16C22×#638C2212yes—
17C22×C4⋊(C3⋊D3)C2211yescharacteristic
18C22×C3×#67C2211yescharacteristic
19C22×C3×C4×D3C2211yescharacteristic
20C22×#627C2212yes—
21C22×#626C2212yes—
22C22×#624C2212yes—
23#64139C2218yescomplemented
24C2×#3752C2212yes—
25C2×C4⋊(C3⋊Dic3)C2211yescharacteristic
26C2×C3×#217C2212yes—
27C2×C3×#217C2211yescharacteristic
28C3×C4×#67C2218yescomplemented
29C2×C3×(C2×D3)⋊C4C2211yescharacteristic
30C3×#926C2218yescomplemented
31C2×C3×C4⋊Dic3C2211yescharacteristic
32C2×C3×C4⋊Dic3C2211yescharacteristic
33C2×C3×Dic3⋊C4C2211yescharacteristic
34C2×C3×C4×Dic3C2212yes—
35C2×C3×C4×Dic3C2211yescharacteristic
36C2×Dic3⋊Dic3C2212yes—
37C2×#3722C2212yes—
38C2×#3722C2212yes—
39C2×(C2×D3)⋊Dic3C2212yes—
40#63958C22116yescomplemented
41C2×Dic32C2212yes—
42#63953C22116yescomplemented
43#63918C2218yescomplemented
44#63909C2218yescomplemented
45#63894C2218yescomplemented
46#63852C22116yescomplemented
47#63841C2218yescomplemented
48#63836C22116yescomplemented
49C2×C3×C4×D4—31no—
50C2×C3×#117—31no—
51C2×#938—32no—
52C2×#930—31no—
53C2×#930—31no—
54C2×#930—31no—
55C2×#930—61no—
56C2×C4×#67D311yescharacteristic, complemented
57C2×#926—31no—
58C2×#926D311yescharacteristic, complemented
59#5563—316no—
60#5532—316no—
61C2×#895—31no—
62C2×#893—31no—
63C2×#892—31no—
64C2×#892—32no—
65C2×#888—31no—
66C2×#885—32no—
67C2×#885—32no—
68C2×#885—32no—
69C2×#884—32no—
70C2×#875—32no—
71C2×C4×D12—31no—
72C2×#872—32no—
73C2×#869—31no—
74C24×C32C2311yescharacteristic
75C23×C3⋊D3C2312yes—
76C23×C3×D3C2311yescharacteristic
77C22×C32×C4—24no—
78C22×C32×C4C2311yescharacteristic
79C22×C32×C4C2314yes—
80C22×C32×C4C2311yescharacteristic
81C2×#638—44no—
82C2×#638C2318yes—
83C22×C3⋊Dic3C2312yes—
84C2×C4⋊(C3⋊D3)—24no—
85C2×C4⋊(C3⋊D3)C2314yes—
86C2×C3×#67—24no—
87C2×C3×#67C2314yes—
88C22×C3×Dic3C2312yes—
89C22×C3×Dic3C2312yes—
90C22×C3×Dic3C2311yescharacteristic
91C22×C3×Dic3C2311yescharacteristic
92C22×C3×Dic3C2311yescharacteristic
93C2×C3×C4×D3—24no—
94C2×C3×C4×D3C2314yes—
95C2×#627—44no—
96C2×#627C2318yes—
97C2×#626—44no—
98C2×#626C2318yes—
99C2×#624—28no—
100C2×#624C2318yes—
101#3752C2318yes—
102C4⋊(C3⋊Dic3)C2314yes—
103C3×#217C2318yes—
104C3×#217C2314yes—
105C3×(C2×D3)⋊C4C2314yes—
106C3×C4⋊Dic3C2314yes—
107C3×C4⋊Dic3C2314yes—
108C3×Dic3⋊C4C2314yes—
109C3×C4×Dic3C2318yes—
110C3×C4×Dic3C2314yes—
111Dic3⋊Dic3C2318yes—
112#3722C2318yes—
113#3722C2318yes—
114(C2×D3)⋊Dic3C2318yes—
115Dic32C2318yes—
116C2×#555—91noSylow
117C22×C3×D4—31no—
118C23×C3×C4—21no—
119C23×C3×C4—31no—
120C23×C3×C4C2×D311yescharacteristic
121C23×C3×C4C2×D311yescharacteristic
122C22×#67—32no—
123C22×#67—32no—
124C22×#67—32no—
125C22×#67—62no—
126C22×#67C2×D311yescharacteristic
127C22×D12—31no—
128C22×D12—31no—
129C22×D12—32no—
130C22×D12—61no—
131C22×C4×D3—32no—
132C22×C4×D3—32no—
133C22×C4×D3C2×D311yescharacteristic
134C22×Dic6—32no—
135C22×Dic6—32no—
136C3×C4×D4—38no—
137C3×#117—38no—
138C2×C3×C4⋊C4—31no—
139C2×C3×C4⋊C4—31no—
140C2×C3×C4⋊C4—31no—
141C2×C3×C22⋊C4—32no—
142C2×C3×C22⋊C4—31no—
143C2×C3×C22⋊C4—31no—
144C2×C3×C42—31no—
145C2×C3×C42—32no—
146C2×#217—32no—
147C2×#217C2×D311yescharacteristic
148C2×#217C2×D312yes—
149#938—316no—
150#930—38no—
151#930—38no—
152#930—38no—
153#930—68no—
154C4×#67C2×D318yescomplemented
155C2×(C2×D3)⋊C4—32no—
156C2×(C2×D3)⋊C4—32no—
157C2×(C2×D3)⋊C4—32no—
158C2×(C2×D3)⋊C4—32no—
159C2×(C2×D3)⋊C4—32no—
160C2×(C2×D3)⋊C4—32no—
161C2×(C2×D3)⋊C4—32no—
162C2×(C2×D3)⋊C4—62no—
163C2×(C2×D3)⋊C4C2×D311yescharacteristic
164#926—38no—
165#926C2×D318yescomplemented
166C2×C4⋊Dic3—31no—
167C2×C4⋊Dic3—31no—
168C2×C4⋊Dic3—32no—
169C2×C4⋊Dic3—61no—
170C2×C4⋊Dic3C2×D311yescharacteristic
171C2×C4⋊Dic3C2×D311yescharacteristic
172C2×Dic3⋊C4—32no—
173C2×Dic3⋊C4C2×D311yescharacteristic
174C2×C4×Dic3—32no—
175C2×C4×Dic3—32no—
176C2×C4×Dic3C2×D312yes—
177C2×C4×Dic3C2×D311yescharacteristic
178#895—38no—
179#893—38no—
180#892—38no—
181#892—316no—
182#888—38no—
183#885—316no—
184#885—316no—
185#885—316no—
186#884—316no—
187#875—316no—
188C4×D12—38no—
189#872—316no—
190#869—38no—
191C23×C32—22no—
192C23×C32—22no—
193C23×C32—22no—
194C23×C32C2412yes—
195C23×C32C2411yescharacteristic
196C22×C3⋊D3—24no—
197C22×C3⋊D3—24no—
198C22×C3⋊D3—24no—
199C22×C3⋊D3C2414yes—
200C22×C3×D3—22no—
201C22×C3×D3—22no—
202C22×C3×D3—22no—
203C22×C3×D3C2412yes—
204C2×C32×C4—22no—
205C2×C32×C4—28no—
206C2×C32×C4#4114yes—
207C2×C32×C4C2412yes—
208C2×C32×C4C2412yes—
209#638—48no—
210C2×C3⋊Dic3—24no—
211C2×C3⋊Dic3C2414yes—
212C4⋊(C3⋊D3)—28no—
213C3×#67—28no—
214C2×C3×Dic3—24no—
215C2×C3×Dic3—22no—
216C2×C3×Dic3—24no—
217C2×C3×Dic3—22no—
218C2×C3×Dic3#4114yes—
219C2×C3×Dic3C2412yes—
220C2×C3×Dic3C2414yes—
221C2×C3×Dic3C2412yes—
222C2×C3×Dic3C2414yes—
223C2×C3×Dic3C2412yes—
224C3×C4×D3—28no—
225#627—48no—
226#626—48no—
227#624—216no—
228#555—916no—
229C2×C4⋊Q8—91no—
230C2×#124—92no—
231C2×#124—92no—
232C2×#121—92no—
233C2×#121—91no—
234C2×#121—91no—
235C2×C4×D4—31no—
236C2×C4×D4—91no—
237C2×#117—31no—
238C2×#117—92no—
239C2×#117—91no—
240C24×C3—21no—
241C24×C3—31no—
242C24×C3C22×D311yescharacteristic
243C24×C3C22×D311yescharacteristic
244C23×D3—32no—
245C23×D3—32no—
246C23×D3—62no—
247C23×D3C22×D311yescharacteristic
248C2×C3×D4—34no—
249C2×C3×D4—64no—
250C22×C3×C4—24no—
251C22×C3×C4—24no—
252C22×C3×C4—21no—
253C22×C3×C4—21no—
254C22×C3×C4—24no—
255C22×C3×C4—31no—
256C22×C3×C4—31no—
257C22×C3×C4—32no—
258C22×C3×C4—32no—
259C22×C3×C4—31no—
260C22×C3×C4—34no—
261C22×C3×C4—44no—
262C22×C3×C4—64no—
263C22×C3×C4C22×D311yescharacteristic
264C22×C3×C4C22×D311yescharacteristic
265C22×C3×C4C22×D314yes—
266C22×C3×C4C22×D314yes—
267C22×C3×C4C22×D311yescharacteristic
268C22×C3×C4C22×D311yescharacteristic
269C2×#67—24no—
270C2×#67—38no—
271C2×#67—38no—
272C2×#67—38no—
273C2×#67—68no—
274C2×#67—124no—
275C2×#67—124no—
276C2×#67—124no—
277C2×#67—128no—
278C2×#67C22×D314yes—
279C22×Dic3—32no—
280C22×Dic3—32no—
281C22×Dic3—62no—
282C22×Dic3C22×D311yescharacteristic
283C22×Dic3C22×D312yes—
284C22×Dic3C22×D312yes—
285C22×Dic3C22×D311yescharacteristic
286C22×Dic3C22×D311yescharacteristic
287C2×D12—34no—
288C2×D12—34no—
289C2×D12—38no—
290C2×D12—64no—
291C2×D12—64no—
292C2×D12—64no—
293C2×D12—124no—
294C2×D12—124no—
295C2×C4×D3—24no—
296C2×C4×D3—38no—
297C2×C4×D3—38no—
298C2×C4×D3—68no—
299C2×C4×D3—68no—
300C2×C4×D3C22×D314yes—
301C2×Dic6—38no—
302C2×Dic6—38no—
303C2×Dic6—124no—
304C2×Dic6—124no—
305C3×C4⋊C4—34no—
306C3×C4⋊C4—34no—
307C3×C4⋊C4—34no—
308C3×C22⋊C4—38no—
309C3×C22⋊C4—34no—
310C3×C22⋊C4—34no—
311C3×C42—34no—
312C3×C42—38no—
313#217—38no—
314#217C22×D314yes—
315#217C22×D318yes—
316(C2×D3)⋊C4—38no—
317(C2×D3)⋊C4—38no—
318(C2×D3)⋊C4—38no—
319(C2×D3)⋊C4—38no—
320(C2×D3)⋊C4—38no—
321(C2×D3)⋊C4—38no—
322(C2×D3)⋊C4—38no—
323(C2×D3)⋊C4—68no—
324(C2×D3)⋊C4C22×D314yes—
325C4⋊Dic3—34no—
326C4⋊Dic3—34no—
327C4⋊Dic3—38no—
328C4⋊Dic3—64no—
329C4⋊Dic3C22×D314yes—
330C4⋊Dic3C22×D314yes—
331Dic3⋊C4—38no—
332Dic3⋊C4C22×D314yes—
333C4×Dic3—38no—
334C4×Dic3—38no—
335C4×Dic3C22×D318yes—
336C4×Dic3C22×D314yes—
337C22×C32—22no—
338C22×C32—22no—
339C22×C32—22no—
340C22×C32—44no—
341C22×C32C2×#4112yes—
342C22×C32C2×#4112yes—
343C22×C32H(5,𝔽2)12yes—
344C22×C32C2511yescharacteristic
345C2×C3⋊D3—24no—
346C2×C3⋊D3—24no—
347C2×C3⋊D3—24no—
348C2×C3⋊D3—48no—
349C2×C3×D3—22no—
350C2×C3×D3—22no—
351C2×C3×D3—22no—
352C2×C3×D3—44no—
353C32×C4—22no—
354C32×C4C2×#4114yes—
355C3⋊Dic3—24no—
356C3×Dic3—24no—
357C3×Dic3—22no—
358C3×Dic3—24no—
359C3×Dic3—22no—
360C3×Dic3C2×#4114yes—
361C22×Q8—92no—
362C22×D4—31no—
363C22×D4—92no—
364C22×D4—92no—
365C22×D4—91no—
366C23×C4—31no—
367C23×C4—92no—
368C23×C4D3211yescharacteristic
369C4⋊Q8—98no—
370#124—916no—
371#124—916no—
372#121—916no—
373#121—98no—
374#121—98no—
375C4×D4—38no—
376C4×D4—98no—
377#117—38no—
378#117—916no—
379#117—98no—
380C2×C4⋊C4—31no—
381C2×C4⋊C4—31no—
382C2×C4⋊C4—31no—
383C2×C4⋊C4—92no—
384C2×C4⋊C4—91no—
385C2×C22⋊C4—32no—
386C2×C22⋊C4—31no—
387C2×C22⋊C4—31no—
388C2×C22⋊C4—92no—
389C2×C22⋊C4—92no—
390C2×C22⋊C4—92no—
391C2×C22⋊C4—92no—
392C2×C42—32no—
393C2×C42—31no—
394C2×C42—92no—
395C23×C3—24no—
396C23×C3—22no—
397C23×C3—22no—
398C23×C3—22no—
399C23×C3—22no—
400C23×C3—22no—
401C23×C3—22no—
402C23×C3—22no—
403C23×C3—21no—
404C23×C3—32no—
405C23×C3—42no—
406C23×C3—42no—
407C23×C3—62no—
408C23×C3—62no—
409C23×C3—62no—
410C23×C3C23×D312yes—
411C23×C3C23×D312yes—
412C23×C3C23×D311yescharacteristic
413C23×C3C23×D311yescharacteristic
414C22×D3—22no—
415C22×D3—22no—
416C22×D3—22no—
417C22×D3—34no—
418C22×D3—34no—
419C22×D3—64no—
420C22×D3—64no—
421C22×D3—64no—
422C22×D3—64no—
423C22×D3—64no—
424C22×D3—64no—
425C22×D3—64no—
426C22×D3—124no—
427C22×D3—124no—
428C22×D3—124no—
429C22×D3C23×D312yes—
430C3×D4—68no—
431C2×C3×C4—22no—
432C2×C3×C4—22no—
433C2×C3×C4—28no—
434C2×C3×C4—28no—
435C2×C3×C4—22no—
436C2×C3×C4—22no—
437C2×C3×C4—24no—
438C2×C3×C4—34no—
439C2×C3×C4—32no—
440C2×C3×C4—32no—
441C2×C3×C4—34no—
442C2×C3×C4—34no—
443C2×C3×C4—32no—
444C2×C3×C4—48no—
445C2×C3×C4—42no—
446C2×C3×C4—64no—
447C2×C3×C4—62no—
448C2×C3×C4—62no—
449C2×C3×C4—64no—
450C2×C3×C4—68no—
451C2×C3×C4#23514yes—
452C2×C3×C4#23714yes—
453C2×C3×C4C23×D312yes—
454C2×C3×C4C23×D312yes—
455C2×C3×C4C23×D312yes—
456C2×C3×C4C23×D312yes—
457#67—28no—
458#67—128no—
459#67—128no—
460#67—128no—
461#67—1216no—
462C2×Dic3—22no—
463C2×Dic3—24no—
464C2×Dic3—22no—
465C2×Dic3—24no—
466C2×Dic3—34no—
467C2×Dic3—34no—
468C2×Dic3—64no—
469C2×Dic3—64no—
470C2×Dic3—64no—
471C2×Dic3—124no—
472C2×Dic3#23514yes—
473C2×Dic3C23×D312yes—
474C2×Dic3C23×D314yes—
475C2×Dic3C23×D314yes—
476C2×Dic3C23×D312yes—
477C2×Dic3C23×D312yes—
478D12—68no—
479D12—68no—
480D12—128no—
481D12—128no—
482C4×D3—28no—
483C4×D3—616no—
484C4×D3—616no—
485Dic6—128no—
486Dic6—128no—
487C2×C32—42no—
488C2×C32#55514yescomplemented
489C2×C32C22×#4111yescharacteristic
490C2×C32C22×#4111yescharacteristic
491C2×C32C2×H(5,𝔽2)11yescharacteristic
492C3⋊D3—44no—
493C3×D3—42no—
494C24—31no—
495C24—92no—
496C24C2×D3211yescharacteristic
497C2×Q8—98no—
498C2×Q8—364no—
499C2×D4—34no—
500C2×D4—64no—
501C2×D4—98no—
502C2×D4—98no—
503C2×D4—94no—
504C2×D4—184no—
505C2×D4—364no—
506C2×D4—364no—
507C22×C4—24no—
508C22×C4—31no—
509C22×C4—32no—
510C22×C4—31no—
511C22×C4—32no—
512C22×C4—31no—
513C22×C4—34no—
514C22×C4—64no—
515C22×C4—98no—
516C22×C4—92no—
517C22×C4—188no—
518C22×C4C2×D3214yes—
519C22×C4C2×D3211yescharacteristic
520C22×C4C2×D3211yescharacteristic
521C4⋊C4—34no—
522C4⋊C4—34no—
523C4⋊C4—34no—
524C4⋊C4—98no—
525C4⋊C4—94no—
526C22⋊C4—38no—
527C22⋊C4—34no—
528C22⋊C4—34no—
529C22⋊C4—98no—
530C22⋊C4—98no—
531C22⋊C4—98no—
532C22⋊C4—98no—
533C42—38no—
534C42—34no—
535C42—98no—
536C22×C3—24no—
537C22×C3—22no—
538C22×C3—22no—
539C22×C3—22no—
540C22×C3—22no—
541C22×C3—22no—
542C22×C3—22no—
543C22×C3—22no—
544C22×C3—22no—
545C22×C3—22no—
546C22×C3—21no—
547C22×C3—42no—
548C22×C3—42no—
549C22×C3—48no—
550C22×C3—44no—
551C22×C3—44no—
552C22×C3—62no—
553C22×C3—62no—
554C22×C3—62no—
555C22×C3—124no—
556C22×C3C2×#23512yes—
557C22×C3C2×#23512yes—
558C22×C3C2×#23712yes—
559C22×C3D3×#4112yes—
560C22×C3#100912yes—
561C22×C3#100912yes—
562C22×C3C24×D311yescharacteristic
563C22×C3C24×D311yescharacteristic
564C2×D3—22no—
565C2×D3—22no—
566C2×D3—22no—
567C2×D3—44no—
568C2×D3—64no—
569C2×D3—64no—
570C2×D3—64no—
571C2×D3—64no—
572C2×D3—64no—
573C2×D3—64no—
574C2×D3—124no—
575C2×D3—124no—
576C2×D3—124no—
577C2×D3—128no—
578C2×D3—128no—
579C2×D3—248no—
580C3×C4—22no—
581C3×C4—22no—
582C3×C4—24no—
583C3×C4—34no—
584C3×C4—42no—
585C3×C4—64no—
586C3×C4—62no—
587C3×C4—62no—
588C3×C4—64no—
589C3×C4C2×#23514yes—
590C3×C4C2×#23714yes—
591Dic3—22no—
592Dic3—24no—
593Dic3—22no—
594Dic3—24no—
595Dic3—64no—
596Dic3—64no—
597Dic3—124no—
598Dic3C2×#23514yes—
599C32C2×#55511yescharacteristic, complemented, Sylow
600C23—22no—
601C23—22no—
602C23—22no—
603C23—32no—
604C23—62no—
605C23—62no—
606C23—62no—
607C23—94no—
608C23—184no—
609C23—184no—
610C23—184no—
611C23C22×D3212yes—
612C23C22×D3211yescharacteristic
613Q8—368no—
614D4—68no—
615D4—188no—
616D4—368no—
617D4—368no—
618C2×C4—22no—
619C2×C4—28no—
620C2×C4—34no—
621C2×C4—32no—
622C2×C4—34no—
623C2×C4—32no—
624C2×C4—34no—
625C2×C4—32no—
626C2×C4—64no—
627C2×C4—64no—
628C2×C4—62no—
629C2×C4—62no—
630C2×C4—68no—
631C2×C4—94no—
632C2×C4—1816no—
633C2×C4—184no—
634C2×C4#380414yes—
635C2×C4C22×D3212yes—
636C2×C4C22×D3212yes—
637C2×C3—24no—
638C2×C3—21no—
639C2×C3—21no—
640C2×C3—21no—
641C2×C3—44no—
642C2×C3—42no—
643C2×C3—42no—
644C2×C3—122no—
645C2×C3#553214yescomplemented
646C2×C3#556314yescomplemented
647C2×C3C22×#23511yescharacteristic
648C2×C3C22×#23511yescharacteristic
649C2×C3C22×#23711yescharacteristic
650C2×C3C2×D3×#4111yescharacteristic
651C2×C3C2×#100911yescharacteristic
652C2×C3C2×#100911yescharacteristic
653D3—42no—
654D3—124no—
655D3—124no—
656D3—244no—
657C22—22no—
658C22—22no—
659C22—22no—
660C22—44no—
661C22—62no—
662C22—62no—
663C22—62no—
664C22—124no—
665C22—184no—
666C22—184no—
667C22—184no—
668C22—368no—
669C22D3×#23512yes—
670C22#6430812yes—
671C22C2×#380412yes—
672C22C23×D3211yescharacteristic
673C4—22no—
674C4—34no—
675C4—64no—
676C4—64no—
677C4—62no—
678C4—62no—
679C4—184no—
680C4C2×#380414yes—
681C3—21no—
682C3C2×#553211yescharacteristic, complemented
683C3C2×#556311yescharacteristic, complemented
684C2—42no—
685C2—122no—
686C2—364no—
687C2#1059483814yesdirect product factor
688C2C2×D3×#23511yescharacteristic
689C2C2×#6430811yescharacteristic
690C2C22×#380411yescharacteristic
subgroupG/H
centerC23C22×D32
commutator, cosocleC22×C32C25
FrattiniC22C23×D32
FittingC23×C32×C4C22
socleC23×C32C24
hypercenterC23×C4D32
hypocenterC32C2×#555
LCSG ▷ C22×C32 ▷ C32
UCSC1 ◁ C23 ◁ C23×C4

Complements

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

NH ≅ G/Ntype
1. C2×#64139C2semidirect
2. C2×C3×C4×#67C2semidirect
3. C2×C3×#926C2semidirect
4. C2×#63958C2semidirect
5. C2×#63953C2semidirect
6. C2×#63918C2semidirect
7. C2×#63909C2semidirect
8. C2×#63894C2semidirect
9. #10594838C2direct (N × H)
10. C2×#63852C2semidirect
11. C2×#63841C2semidirect
12. C2×#63836C2semidirect
23. #64139C22semidirect
28. C3×C4×#67C22semidirect
30. C3×#926C22semidirect
40. #63958C22semidirect
42. #63953C22semidirect
43. #63918C22semidirect
44. #63909C22semidirect
45. #63894C22semidirect
46. #63852C22semidirect
47. #63841C22semidirect
48. #63836C22semidirect
56. C2×C4×#67D3semidirect
58. C2×#926D3semidirect
154. C4×#67C2×D3semidirect
165. #926C2×D3semidirect
488. C2×C32#555semidirect
599. C32C2×#555semidirect
645. C2×C3#5532semidirect
646. C2×C3#5563semidirect
682. C3C2×#5532semidirect
683. C3C2×#5563semidirect
687. C2#10594838direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#641392
C2×C3×C4×#672
C2×C3×#9262
C2×#639582
C2×#639532
C2×#639182
C2×#639092
C2×#638942
#105948382
C2×#638522
C2×#638412
C2×#638362
C2×#55633
C2×#55323