Finite Group Databasebeta

← C2×#10594555 #11903334

Subgroups — C2×#10594555 #11903334

Order 1152.

2645 conjugacy classes of subgroups.

The subgroup lattice has 682 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#64101C211yesmaximal, characteristic, complemented
2C2×C3×#893C211yesmaximal, characteristic, complemented
3C2×C3×#892C211yesmaximal, characteristic, complemented
4C2×#63918C211yesmaximal, characteristic, complemented
5C2×#63916C211yesmaximal, characteristic, complemented
6C2×#63915C212yesmaximal, complemented
7C2×#63908C211yesmaximal, characteristic, complemented
8C2×#63906C212yesmaximal, complemented
9C2×C4×#626C211yesmaximal, characteristic, complemented
10C2×#63855C212yesmaximal, complemented
11C2×#63852C212yesmaximal, complemented
12#10594555C2116yesmaximal, direct product factor
13C2×#5563—31nomaximal
14C2×#5532—31nomaximal
15C22×C4×C3⋊D3C2211yescharacteristic
16C22×C3×D12C2211yescharacteristic
17C22×C3×C4×D3C2211yescharacteristic
18C22×C3×C4×D3C2212yes—
19C22×#627C2212yes—
20C22×#626C2211yescharacteristic
21C22×#626C2212yes—
22C22×#625C2212yes—
23C2×C32×C4⋊C4C2211yescharacteristic
24C2×#3752C2212yes—
25C2×C4⋊(C3⋊Dic3)C2211yescharacteristic
26C2×C4×C3⋊Dic3C2212yes—
27#64101C2218yescomplemented
28C2×C3×(C2×D3)⋊C4C2212yes—
29C2×C3×(C2×D3)⋊C4C2212yes—
30C2×C3×C4⋊Dic3C2211yescharacteristic
31C2×C3×C4×Dic3C2212yes—
32C2×C3×C4×Dic3C2211yescharacteristic
33C3×#893C2218yescomplemented
34C3×#892C2218yescomplemented
35C2×Dic3⋊Dic3C2211yescharacteristic
36C2×Dic3⋊Dic3C2212yes—
37C2×#3722C2211yescharacteristic
38C2×(C2×D3)⋊Dic3C2212yes—
39C2×(C2×D3)⋊Dic3C2212yes—
40C2×(C2×D3)⋊Dic3C2211yescharacteristic
41#63918C2218yescomplemented
42#63916C2218yescomplemented
43#63915C22116yescomplemented
44#63908C2218yescomplemented
45#63906C22116yescomplemented
46C4×#626C2218yescomplemented
47#63855C22116yescomplemented
48#63852C22116yescomplemented
49C2×C3×C4×D4—31no—
50C2×C3×#117—31no—
51C2×#938—31no—
52C2×#938—31no—
53C2×#930—31no—
54C2×#930—32no—
55C2×C4×#67—31no—
56C2×#926—32no—
57#5563—316no—
58#5532—316no—
59C2×#895—31no—
60C2×#893D311yescharacteristic, complemented
61C2×#892—31no—
62C2×#892—31no—
63C2×#892—61no—
64C2×#892D311yescharacteristic, complemented
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—
74C23×C3⋊D3C2311yescharacteristic
75C23×C3×D3C2311yescharacteristic
76C23×C3×D3C2312yes—
77C22×C32×C4C2312yes—
78C22×C32×C4C2311yescharacteristic
79C22×C3⋊Dic3C2312yes—
80C22×C3⋊Dic3C2311yescharacteristic
81C2×C4×C3⋊D3—24no—
82C2×C4×C3⋊D3C2314yes—
83C22×C3×Dic3C2311yescharacteristic
84C22×C3×Dic3C2312yes—
85C22×C3×Dic3C2311yescharacteristic
86C22×C3×Dic3C2311yescharacteristic
87C2×C3×D12—24no—
88C2×C3×D12C2314yes—
89C2×C3×C4×D3—24no—
90C2×C3×C4×D3—28no—
91C2×C3×C4×D3C2314yes—
92C2×C3×C4×D3C2318yes—
93C2×#627—44no—
94C2×#627C2318yes—
95C2×#626—24no—
96C2×#626—44no—
97C2×#626C2314yes—
98C2×#626C2318yes—
99C2×#625—44no—
100C2×#625C2318yes—
101C32×C4⋊C4C2314yes—
102#3752C2318yes—
103C4⋊(C3⋊Dic3)C2314yes—
104C4×C3⋊Dic3C2318yes—
105C3×(C2×D3)⋊C4C2318yes—
106C3×(C2×D3)⋊C4C2318yes—
107C3×C4⋊Dic3C2314yes—
108C3×C4×Dic3C2318yes—
109C3×C4×Dic3C2314yes—
110Dic3⋊Dic3C2314yes—
111Dic3⋊Dic3C2318yes—
112#3722C2314yes—
113(C2×D3)⋊Dic3C2318yes—
114(C2×D3)⋊Dic3C2318yes—
115(C2×D3)⋊Dic3C2314yes—
116C2×#555—91noSylow
117C22×C3×D4—31no—
118C23×C3×C4—32no—
119C23×C3×C4—31no—
120C22×#67—32no—
121C22×#67—32no—
122C22×#67—31no—
123C22×#67—32no—
124C22×D12—31no—
125C22×D12—32no—
126C22×D12C2×D311yescharacteristic
127C22×C4×D3—31no—
128C22×C4×D3—31no—
129C22×C4×D3—61no—
130C22×C4×D3C2×D312yes—
131C22×C4×D3C2×D311yescharacteristic
132C22×Dic6—32no—
133C22×Dic6—32no—
134C3×C4×D4—38no—
135C3×#117—38no—
136C2×C3×C4⋊C4—21no—
137C2×C3×C4⋊C4—31no—
138C2×C3×C4⋊C4C2×D311yescharacteristic
139C2×C3×C4⋊C4C2×D311yescharacteristic
140C2×C3×C22⋊C4—32no—
141C2×C3×C22⋊C4—32no—
142C2×C3×C42—31no—
143C2×C3×C42—32no—
144C2×#217—31no—
145C2×#217—32no—
146C2×#217—32no—
147#938—38no—
148#938—38no—
149#930—38no—
150#930—316no—
151C4×#67—38no—
152C2×(C2×D3)⋊C4—32no—
153C2×(C2×D3)⋊C4—32no—
154C2×(C2×D3)⋊C4—31no—
155C2×(C2×D3)⋊C4—32no—
156C2×(C2×D3)⋊C4—32no—
157C2×(C2×D3)⋊C4—31no—
158C2×(C2×D3)⋊C4—31no—
159C2×(C2×D3)⋊C4—62no—
160C2×(C2×D3)⋊C4C2×D312yes—
161C2×(C2×D3)⋊C4C2×D312yes—
162#926—316no—
163C2×C4⋊Dic3—31no—
164C2×C4⋊Dic3—31no—
165C2×C4⋊Dic3—32no—
166C2×C4⋊Dic3—31no—
167C2×C4⋊Dic3—61no—
168C2×C4⋊Dic3C2×D311yescharacteristic
169C2×Dic3⋊C4—31no—
170C2×Dic3⋊C4—32no—
171C2×C4×Dic3—32no—
172C2×C4×Dic3—32no—
173C2×C4×Dic3—62no—
174C2×C4×Dic3C2×D312yes—
175C2×C4×Dic3C2×D311yescharacteristic
176#895—38no—
177#893C2×D318yescomplemented
178#892—38no—
179#892—38no—
180#892—68no—
181#892C2×D318yescomplemented
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×C32C2411yescharacteristic
192C22×C3⋊D3—22no—
193C22×C3⋊D3—22no—
194C22×C3⋊D3—22no—
195C22×C3⋊D3C2412yes—
196C22×C3×D3—22no—
197C22×C3×D3—22no—
198C22×C3×D3—24no—
199C22×C3×D3—24no—
200C22×C3×D3—22no—
201C22×C3×D3—24no—
202C22×C3×D3C2414yes—
203C22×C3×D3C2412yes—
204C2×C32×C4—24no—
205C2×C32×C4#4114yes—
206C2×C32×C4C2414yes—
207C2×C32×C4C2412yes—
208C2×C3⋊Dic3—22no—
209C2×C3⋊Dic3—24no—
210C2×C3⋊Dic3C2412yes—
211C2×C3⋊Dic3C2414yes—
212C4×C3⋊D3—28no—
213C2×C3×Dic3—22no—
214C2×C3×Dic3—24no—
215C2×C3×Dic3—22no—
216C2×C3×Dic3#4114yes—
217C2×C3×Dic3C2412yes—
218C2×C3×Dic3C2412yes—
219C2×C3×Dic3C2414yes—
220C2×C3×Dic3C2412yes—
221C3×D12—28no—
222C3×C4×D3—28no—
223C3×C4×D3—216no—
224#627—48no—
225#626—28no—
226#626—48no—
227#625—48no—
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—32no—
241C24×C3—31no—
242C23×D3—31no—
243C23×D3—31no—
244C23×D3—61no—
245C23×D3C22×D312yes—
246C23×D3C22×D311yescharacteristic
247C2×C3×D4—34no—
248C2×C3×D4—64no—
249C22×C3×C4—21no—
250C22×C3×C4—22no—
251C22×C3×C4—31no—
252C22×C3×C4—31no—
253C22×C3×C4—32no—
254C22×C3×C4—31no—
255C22×C3×C4—38no—
256C22×C3×C4—34no—
257C22×C3×C4—68no—
258C22×C3×C4—64no—
259C22×C3×C4C22×D312yes—
260C22×C3×C4C22×D312yes—
261C22×C3×C4C22×D311yescharacteristic
262C22×C3×C4C22×D311yescharacteristic
263C2×#67—38no—
264C2×#67—38no—
265C2×#67—34no—
266C2×#67—38no—
267C2×#67—64no—
268C2×#67—124no—
269C2×#67—124no—
270C2×#67—124no—
271C22×Dic3—31no—
272C22×Dic3—31no—
273C22×Dic3—32no—
274C22×Dic3—32no—
275C22×Dic3—61no—
276C22×Dic3—62no—
277C22×Dic3C22×D311yescharacteristic
278C22×Dic3C22×D312yes—
279C22×Dic3C22×D311yescharacteristic
280C22×Dic3C22×D311yescharacteristic
281C2×D12—24no—
282C2×D12—34no—
283C2×D12—38no—
284C2×D12—64no—
285C2×D12—124no—
286C2×D12C22×D314yes—
287C2×C4×D3—24no—
288C2×C4×D3—28no—
289C2×C4×D3—34no—
290C2×C4×D3—34no—
291C2×C4×D3—64no—
292C2×C4×D3—68no—
293C2×C4×D3—64no—
294C2×C4×D3—64no—
295C2×C4×D3C22×D318yes—
296C2×C4×D3C22×D314yes—
297C2×Dic6—38no—
298C2×Dic6—38no—
299C2×Dic6—124no—
300C2×Dic6—124no—
301C3×C4⋊C4—24no—
302C3×C4⋊C4—34no—
303C3×C4⋊C4C22×D314yes—
304C3×C4⋊C4C22×D314yes—
305C3×C22⋊C4—38no—
306C3×C22⋊C4—38no—
307C3×C42—34no—
308C3×C42—38no—
309#217—34no—
310#217—38no—
311#217—38no—
312(C2×D3)⋊C4—38no—
313(C2×D3)⋊C4—38no—
314(C2×D3)⋊C4—34no—
315(C2×D3)⋊C4—38no—
316(C2×D3)⋊C4—38no—
317(C2×D3)⋊C4—34no—
318(C2×D3)⋊C4—34no—
319(C2×D3)⋊C4—68no—
320(C2×D3)⋊C4C22×D318yes—
321(C2×D3)⋊C4C22×D318yes—
322C4⋊Dic3—34no—
323C4⋊Dic3—34no—
324C4⋊Dic3—38no—
325C4⋊Dic3—34no—
326C4⋊Dic3—64no—
327C4⋊Dic3C22×D314yes—
328Dic3⋊C4—34no—
329Dic3⋊C4—38no—
330C4×Dic3—38no—
331C4×Dic3—38no—
332C4×Dic3—68no—
333C4×Dic3C22×D318yes—
334C4×Dic3C22×D314yes—
335C22×C32C2×#4112yes—
336C22×C32C2×#4112yes—
337C22×C32H(5,𝔽2)12yes—
338C22×C32C2511yescharacteristic
339C2×C3⋊D3—22no—
340C2×C3⋊D3—22no—
341C2×C3⋊D3—22no—
342C2×C3⋊D3—44no—
343C2×C3×D3—22no—
344C2×C3×D3—22no—
345C2×C3×D3—24no—
346C2×C3×D3—24no—
347C2×C3×D3—22no—
348C2×C3×D3—24no—
349C2×C3×D3—44no—
350C2×C3×D3—48no—
351C32×C4—24no—
352C32×C4C2×#4114yes—
353C3⋊Dic3—22no—
354C3⋊Dic3—24no—
355C3×Dic3—22no—
356C3×Dic3—24no—
357C3×Dic3—22no—
358C3×Dic3C2×#4114yes—
359C22×Q8—92no—
360C22×D4—31no—
361C22×D4—91no—
362C22×D4—92no—
363C22×D4—92no—
364C23×C4—31no—
365C23×C4—32no—
366C23×C4—91no—
367C4⋊Q8—98no—
368#124—916no—
369#124—916no—
370#121—916no—
371#121—98no—
372#121—98no—
373C4×D4—38no—
374C4×D4—98no—
375#117—38no—
376#117—916no—
377#117—98no—
378C2×C4⋊C4—31no—
379C2×C4⋊C4—91no—
380C2×C4⋊C4—92no—
381C2×C4⋊C4—91no—
382C2×C4⋊C4D3211yescharacteristic
383C2×C22⋊C4—32no—
384C2×C22⋊C4—32no—
385C2×C22⋊C4—91no—
386C2×C22⋊C4—92no—
387C2×C22⋊C4—92no—
388C2×C22⋊C4—91no—
389C2×C22⋊C4—92no—
390C2×C42—32no—
391C2×C42—31no—
392C2×C42—92no—
393C23×C3—21no—
394C23×C3—34no—
395C23×C3—32no—
396C23×C3—62no—
397C23×C3—64no—
398C23×C3—62no—
399C23×C3—64no—
400C23×C3—64no—
401C23×C3—62no—
402C23×C3C23×D311yescharacteristic
403C23×C3C23×D311yescharacteristic
404C22×D3—22no—
405C22×D3—24no—
406C22×D3—24no—
407C22×D3—22no—
408C22×D3—24no—
409C22×D3—22no—
410C22×D3—32no—
411C22×D3—32no—
412C22×D3—62no—
413C22×D3—64no—
414C22×D3—62no—
415C22×D3—62no—
416C22×D3—62no—
417C22×D3—62no—
418C22×D3—62no—
419C22×D3—62no—
420C22×D3—122no—
421C22×D3—122no—
422C22×D3C23×D314yes—
423C22×D3C23×D312yes—
424C3×D4—68no—
425C2×C3×C4—24no—
426C2×C3×C4—24no—
427C2×C3×C4—22no—
428C2×C3×C4—24no—
429C2×C3×C4—24no—
430C2×C3×C4—34no—
431C2×C3×C4—32no—
432C2×C3×C4—32no—
433C2×C3×C4—34no—
434C2×C3×C4—32no—
435C2×C3×C4—44no—
436C2×C3×C4—616no—
437C2×C3×C4—62no—
438C2×C3×C4—62no—
439C2×C3×C4—64no—
440C2×C3×C4—68no—
441C2×C3×C4#23514yes—
442C2×C3×C4#23514yes—
443C2×C3×C4C23×D314yes—
444C2×C3×C4C23×D314yes—
445C2×C3×C4C23×D312yes—
446C2×C3×C4C23×D312yes—
447#67—68no—
448#67—128no—
449#67—128no—
450#67—128no—
451C2×Dic3—22no—
452C2×Dic3—22no—
453C2×Dic3—24no—
454C2×Dic3—32no—
455C2×Dic3—32no—
456C2×Dic3—34no—
457C2×Dic3—34no—
458C2×Dic3—62no—
459C2×Dic3—64no—
460C2×Dic3—64no—
461C2×Dic3—62no—
462C2×Dic3—62no—
463C2×Dic3—64no—
464C2×Dic3—64no—
465C2×Dic3—124no—
466C2×Dic3#23714yes—
467C2×Dic3C23×D312yes—
468C2×Dic3C23×D314yes—
469C2×Dic3C23×D312yes—
470C2×Dic3C23×D312yes—
471D12—28no—
472D12—68no—
473D12—128no—
474C4×D3—28no—
475C4×D3—216no—
476C4×D3—616no—
477C4×D3—68no—
478C4×D3—68no—
479Dic6—128no—
480Dic6—128no—
481C2×C32#55514yescomplemented
482C2×C32C22×#4111yescharacteristic
483C2×C32C22×#4111yescharacteristic
484C2×C32C2×H(5,𝔽2)11yescharacteristic
485C3⋊D3—42no—
486C3×D3—44no—
487C3×D3—42no—
488C24—31no—
489C24—32no—
490C24—91no—
491C2×Q8—98no—
492C2×Q8—364no—
493C2×D4—34no—
494C2×D4—64no—
495C2×D4—94no—
496C2×D4—98no—
497C2×D4—98no—
498C2×D4—184no—
499C2×D4—364no—
500C2×D4—364no—
501C22×C4—31no—
502C22×C4—31no—
503C22×C4—31no—
504C22×C4—32no—
505C22×C4—34no—
506C22×C4—38no—
507C22×C4—68no—
508C22×C4—64no—
509C22×C4—91no—
510C22×C4—92no—
511C22×C4—94no—
512C22×C4—184no—
513C22×C4C2×D3212yes—
514C22×C4C2×D3211yescharacteristic
515C4⋊C4—34no—
516C4⋊C4—94no—
517C4⋊C4—98no—
518C4⋊C4—94no—
519C4⋊C4C2×D3214yes—
520C22⋊C4—38no—
521C22⋊C4—38no—
522C22⋊C4—94no—
523C22⋊C4—98no—
524C22⋊C4—98no—
525C22⋊C4—94no—
526C22⋊C4—98no—
527C42—38no—
528C42—34no—
529C42—98no—
530C22×C3—22no—
531C22×C3—22no—
532C22×C3—22no—
533C22×C3—21no—
534C22×C3—62no—
535C22×C3—64no—
536C22×C3—62no—
537C22×C3—64no—
538C22×C3—62no—
539C22×C3—64no—
540C22×C3—128no—
541C22×C3—124no—
542C22×C3C2×#23512yes—
543C22×C3C2×#23512yes—
544C22×C3C2×#23712yes—
545C22×C3D3×#4112yes—
546C22×C3#100912yes—
547C22×C3#100912yes—
548C22×C3C24×D311yescharacteristic
549C22×C3C24×D311yescharacteristic
550C2×D3—22no—
551C2×D3—24no—
552C2×D3—24no—
553C2×D3—22no—
554C2×D3—24no—
555C2×D3—22no—
556C2×D3—44no—
557C2×D3—48no—
558C2×D3—64no—
559C2×D3—62no—
560C2×D3—62no—
561C2×D3—62no—
562C2×D3—62no—
563C2×D3—62no—
564C2×D3—62no—
565C2×D3—122no—
566C2×D3—122no—
567C2×D3—128no—
568C2×D3—124no—
569C2×D3—124no—
570C3×C4—24no—
571C3×C4—24no—
572C3×C4—24no—
573C3×C4—34no—
574C3×C4—44no—
575C3×C4—62no—
576C3×C4—62no—
577C3×C4—64no—
578C3×C4C2×#23514yes—
579C3×C4C2×#23514yes—
580Dic3—22no—
581Dic3—22no—
582Dic3—24no—
583Dic3—64no—
584Dic3—62no—
585Dic3—62no—
586Dic3—64no—
587Dic3—64no—
588Dic3—124no—
589Dic3C2×#23714yes—
590C32C2×#55511yescharacteristic, complemented, Sylow
591C23—32no—
592C23—34no—
593C23—62no—
594C23—64no—
595C23—64no—
596C23—62no—
597C23—64no—
598C23—62no—
599C23—92no—
600C23—182no—
601C23—182no—
602C23—182no—
603C23C22×D3211yescharacteristic
604Q8—368no—
605D4—68no—
606D4—188no—
607D4—368no—
608D4—368no—
609C2×C4—24no—
610C2×C4—34no—
611C2×C4—32no—
612C2×C4—32no—
613C2×C4—32no—
614C2×C4—34no—
615C2×C4—616no—
616C2×C4—62no—
617C2×C4—64no—
618C2×C4—62no—
619C2×C4—68no—
620C2×C4—92no—
621C2×C4—94no—
622C2×C4—182no—
623C2×C4—184no—
624C2×C4—188no—
625C2×C4#379814yes—
626C2×C4C22×D3214yes—
627C2×C4C22×D3212yes—
628C2×C3—21no—
629C2×C3—21no—
630C2×C3—21no—
631C2×C3—24no—
632C2×C3—122no—
633C2×C3—124no—
634C2×C3#553214yescomplemented
635C2×C3#556314yescomplemented
636C2×C3C22×#23511yescharacteristic
637C2×C3C22×#23511yescharacteristic
638C2×C3C22×#23711yescharacteristic
639C2×C3C2×D3×#4111yescharacteristic
640C2×C3C2×#100911yescharacteristic
641C2×C3C2×#100911yescharacteristic
642D3—44no—
643D3—42no—
644D3—124no—
645D3—122no—
646D3—122no—
647C22—62no—
648C22—64no—
649C22—64no—
650C22—62no—
651C22—64no—
652C22—62no—
653C22—124no—
654C22—128no—
655C22—182no—
656C22—182no—
657C22—182no—
658C22—364no—
659C22C2×#379812yes—
660C22D3×#23712yes—
661C22#6432012yes—
662C22C23×D3211yescharacteristic
663C4—24no—
664C4—34no—
665C4—62no—
666C4—64no—
667C4—62no—
668C4—182no—
669C4—184no—
670C4C2×#379814yes—
671C3—21no—
672C3C2×#553211yescharacteristic, complemented
673C3C2×#556311yescharacteristic, complemented
674C2—122no—
675C2—124no—
676C2—362no—
677C2#1059455514yesdirect product factor
678C2C22×#379811yescharacteristic
679C2C2×D3×#23711yescharacteristic
680C2C2×#6432011yescharacteristic
subgroupG/H
centerC23C22×D32
commutator, cosocleC22×C32C25
FrattiniC22C23×D32
FittingC2×C32×C4⋊C4C22
socleC23×C32C24
hypercenterC2×C4⋊C4D32
hypocenterC32C2×#555
LCSG ▷ C22×C32 ▷ C32
UCSC1 ◁ C23 ◁ C2×C4⋊C4

Complements

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

NH ≅ G/Ntype
1. C2×#64101C2semidirect
2. C2×C3×#893C2semidirect
3. C2×C3×#892C2semidirect
4. C2×#63918C2semidirect
5. C2×#63916C2semidirect
6. C2×#63915C2semidirect
7. C2×#63908C2semidirect
8. C2×#63906C2semidirect
9. C2×C4×#626C2semidirect
10. C2×#63855C2semidirect
11. C2×#63852C2semidirect
12. #10594555C2direct (N × H)
27. #64101C22semidirect
33. C3×#893C22semidirect
34. C3×#892C22semidirect
41. #63918C22semidirect
42. #63916C22semidirect
43. #63915C22semidirect
44. #63908C22semidirect
45. #63906C22semidirect
46. C4×#626C22semidirect
47. #63855C22semidirect
48. #63852C22semidirect
60. C2×#893D3semidirect
64. C2×#892D3semidirect
177. #893C2×D3semidirect
181. #892C2×D3semidirect
481. C2×C32#555semidirect
590. C32C2×#555semidirect
634. C2×C3#5532semidirect
635. C2×C3#5563semidirect
672. C3C2×#5532semidirect
673. C3C2×#5563semidirect
677. C2#10594555direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#641012
C2×C3×#8932
C2×C3×#8922
C2×#639182
C2×#639162
C2×#639152
C2×#639082
C2×#639062
C2×C4×#6262
C2×#638552
C2×#638522
#105945552
C2×#55633
C2×#55323