Finite Group Databasebeta

← C2×#10595026 #11903331

Subgroups — C2×#10595026 #11903331

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×#64135C211yesmaximal, characteristic, complemented
2C2×C3×#930C211yesmaximal, characteristic, complemented
3C2×C3×C4×#67C211yesmaximal, characteristic, complemented
4C2×#63970C212yesmaximal, complemented
5C2×#63959C212yesmaximal, complemented
6C2×#63918C211yesmaximal, characteristic, complemented
7#10595026C2116yesmaximal, direct product factor
8C2×#63915C212yesmaximal, complemented
9C2×#63908C211yesmaximal, characteristic, complemented
10C2×Dic3×D12C211yesmaximal, characteristic, complemented
11C2×#63878C212yesmaximal, complemented
12C2×#63841C211yesmaximal, characteristic, complemented
13C2×#5616—31nomaximal
14C2×#5563—31nomaximal
15C23×C32×C4C2211yescharacteristic
16C22×C3×#67C2211yescharacteristic
17C22×C3×#67C2212yes—
18C22×C3×D12C2211yescharacteristic
19C22×C3×C4×D3C2211yescharacteristic
20C22×#627C2212yes—
21C22×#625C2212yes—
22C22×D3×Dic3C2212yes—
23C2×#3757C2212yes—
24#64135C2218yescomplemented
25C2×C4⋊(C3⋊Dic3)C2211yescharacteristic
26C2×C4⋊(C3⋊Dic3)C2211yescharacteristic
27C2×C4×C3⋊Dic3C2212yes—
28C2×C3×#217C2211yescharacteristic
29C3×#930C2218yescomplemented
30C3×C4×#67C2218yescomplemented
31C2×C3×(C2×D3)⋊C4C2211yescharacteristic
32C2×C3×(C2×D3)⋊C4C2212yes—
33C2×C3×C4⋊Dic3C2211yescharacteristic
34C2×C3×Dic3⋊C4C2211yescharacteristic
35C2×C3×C4×Dic3C2211yescharacteristic
36#63970C22116yescomplemented
37C2×Dic3⋊Dic3C2212yes—
38C2×(C2×D3)⋊Dic3C2212yes—
39C2×(C2×D3)⋊Dic3C2212yes—
40C2×(C2×D3)⋊Dic3C2212yes—
41#63959C22116yescomplemented
42C2×Dic32C2212yes—
43#63918C2218yescomplemented
44#63915C22116yescomplemented
45#63908C2218yescomplemented
46Dic3×D12C2218yescomplemented
47#63878C22116yescomplemented
48#63841C2218yescomplemented
49C2×C3×#121—31no—
50C2×C3×C4×D4—31no—
51C2×#939—32no—
52C2×#938—32no—
53C2×#938—31no—
54C2×#936—32no—
55C2×D4×Dic3—31no—
56C2×#930—31no—
57C2×#930D311yescharacteristic, complemented
58C2×C4×#67D311yescharacteristic, complemented
59C2×#926—31no—
60C2×#926—31no—
61C2×#926—31no—
62C2×#926—61no—
63#5616—316no—
64#5563—316no—
65C2×#892—31no—
66C2×#892—32no—
67C2×#888—31no—
68C2×#885—32no—
69C2×#885—32no—
70C2×#885—32no—
71C2×#877—32no—
72C2×C4×D12—31no—
73C2×#869—31no—
74C24×C32C2311yescharacteristic
75C23×C3×D3C2312yes—
76C23×C3×D3C2311yescharacteristic
77C22×C32×C4—24no—
78C22×C32×C4C2311yescharacteristic
79C22×C32×C4C2314yes—
80C22×C32×C4C2311yescharacteristic
81C22×C3⋊Dic3C2312yes—
82C22×C3⋊Dic3C2312yes—
83C2×C3×#67—24no—
84C2×C3×#67—44no—
85C2×C3×#67C2314yes—
86C2×C3×#67C2318yes—
87C22×C3×Dic3C2311yescharacteristic
88C22×C3×Dic3C2311yescharacteristic
89C22×C3×Dic3C2312yes—
90C22×C3×Dic3C2311yescharacteristic
91C2×C3×D12—24no—
92C2×C3×D12C2314yes—
93C2×C3×C4×D3—24no—
94C2×C3×C4×D3C2314yes—
95C2×#627—44no—
96C2×#627C2318yes—
97C2×#625—44no—
98C2×#625C2318yes—
99C2×D3×Dic3—28no—
100C2×D3×Dic3C2318yes—
101#3757C2318yes—
102C4⋊(C3⋊Dic3)C2314yes—
103C4⋊(C3⋊Dic3)C2314yes—
104C4×C3⋊Dic3C2318yes—
105C3×#217C2314yes—
106C3×(C2×D3)⋊C4C2314yes—
107C3×(C2×D3)⋊C4C2318yes—
108C3×C4⋊Dic3C2314yes—
109C3×Dic3⋊C4C2314yes—
110C3×C4×Dic3C2314yes—
111Dic3⋊Dic3C2318yes—
112(C2×D3)⋊Dic3C2318yes—
113(C2×D3)⋊Dic3C2318yes—
114(C2×D3)⋊Dic3C2318yes—
115Dic32C2318yes—
116C2×#555—91noSylow
117C22×C3×D4—31no—
118C22×C3×D4—32no—
119C22×C3×D4—31no—
120C23×C3×C4—21no—
121C23×C3×C4—31no—
122C23×C3×C4C2×D311yescharacteristic
123C23×C3×C4C2×D311yescharacteristic
124C22×#67—32no—
125C22×#67—32no—
126C22×#67C2×D311yescharacteristic
127C22×#67C2×D312yes—
128C23×Dic3—32no—
129C22×D12C2×D311yescharacteristic
130C22×C4×D3—32no—
131C22×C4×D3C2×D311yescharacteristic
132C22×Dic6—32no—
133C22×Dic6—32no—
134C3×#121—38no—
135C3×C4×D4—38no—
136C2×C3×C4⋊C4—31no—
137C2×C3×C4⋊C4—31no—
138C2×C3×C22⋊C4—31no—
139C2×C3×C22⋊C4—32no—
140C2×C3×C22⋊C4—31no—
141C2×C3×C42—31no—
142C2×#217—32no—
143C2×#217—32no—
144C2×#217—32no—
145C2×#217—32no—
146C2×#217—32no—
147C2×#217—62no—
148C2×#217C2×D311yescharacteristic
149#939—316no—
150#938—316no—
151#938—38no—
152#936—316no—
153D4×Dic3—38no—
154#930—38no—
155#930C2×D318yescomplemented
156C4×#67C2×D318yescomplemented
157C2×(C2×D3)⋊C4—32no—
158C2×(C2×D3)⋊C4—32no—
159C2×(C2×D3)⋊C4—32no—
160C2×(C2×D3)⋊C4C2×D311yescharacteristic
161C2×(C2×D3)⋊C4C2×D312yes—
162#926—38no—
163#926—38no—
164#926—38no—
165#926—68no—
166C2×C4⋊Dic3—31no—
167C2×C4⋊Dic3—31no—
168C2×C4⋊Dic3—31no—
169C2×C4⋊Dic3—31no—
170C2×C4⋊Dic3—32no—
171C2×C4⋊Dic3—61no—
172C2×C4⋊Dic3—61no—
173C2×C4⋊Dic3C2×D311yescharacteristic
174C2×Dic3⋊C4—32no—
175C2×Dic3⋊C4C2×D311yescharacteristic
176C2×C4×Dic3—32no—
177C2×C4×Dic3—32no—
178C2×C4×Dic3—32no—
179C2×C4×Dic3—32no—
180C2×C4×Dic3—62no—
181C2×C4×Dic3C2×D311yescharacteristic
182#892—38no—
183#892—316no—
184#888—38no—
185#885—316no—
186#885—316no—
187#885—316no—
188#877—316no—
189C4×D12—38no—
190#869—38no—
191C23×C32—22no—
192C23×C32—22no—
193C23×C32—22no—
194C23×C32C2412yes—
195C23×C32C2411yescharacteristic
196C22×C3×D3—24no—
197C22×C3×D3—22no—
198C22×C3×D3—24no—
199C22×C3×D3—22no—
200C22×C3×D3—22no—
201C22×C3×D3—24no—
202C22×C3×D3C2414yes—
203C22×C3×D3C2412yes—
204C2×C32×C4—22no—
205C2×C32×C4—28no—
206C2×C32×C4#4114yes—
207C2×C32×C4C2412yes—
208C2×C32×C4C2412yes—
209C2×C3⋊Dic3—24no—
210C2×C3⋊Dic3—24no—
211C2×C3⋊Dic3C2414yes—
212C2×C3⋊Dic3C2414yes—
213C3×#67—28no—
214C3×#67—48no—
215C2×C3×Dic3—22no—
216C2×C3×Dic3—22no—
217C2×C3×Dic3—24no—
218C2×C3×Dic3#4114yes—
219C2×C3×Dic3C2412yes—
220C2×C3×Dic3C2414yes—
221C2×C3×Dic3C2412yes—
222C2×C3×Dic3C2412yes—
223C3×D12—28no—
224C3×C4×D3—28no—
225#627—48no—
226#625—48no—
227D3×Dic3—216no—
228#555—916no—
229C2×C4⋊Q8—91no—
230C2×#124—92no—
231C2×#124—92no—
232C2×#121—31no—
233C2×#121—91no—
234C2×#121—92no—
235C2×C4×D4—31no—
236C2×C4×D4—91no—
237C2×#117—92no—
238C2×#117—91no—
239C2×#117—91no—
240C24×C3—21no—
241C24×C3—32no—
242C24×C3—31no—
243C24×C3C22×D311yescharacteristic
244C24×C3C22×D311yescharacteristic
245C23×D3C22×D312yes—
246C23×D3C22×D311yescharacteristic
247C2×C3×D4—34no—
248C2×C3×D4—38no—
249C2×C3×D4—34no—
250C2×C3×D4—64no—
251C2×C3×D4—64no—
252C2×C3×D4—124no—
253C22×C3×C4—28no—
254C22×C3×C4—24no—
255C22×C3×C4—24no—
256C22×C3×C4—21no—
257C22×C3×C4—21no—
258C22×C3×C4—24no—
259C22×C3×C4—31no—
260C22×C3×C4—31no—
261C22×C3×C4—32no—
262C22×C3×C4—31no—
263C22×C3×C4—34no—
264C22×C3×C4—64no—
265C22×C3×C4C22×D311yescharacteristic
266C22×C3×C4C22×D311yescharacteristic
267C22×C3×C4C22×D314yes—
268C22×C3×C4C22×D314yes—
269C22×C3×C4C22×D311yescharacteristic
270C22×C3×C4C22×D311yescharacteristic
271C2×#67—24no—
272C2×#67—38no—
273C2×#67—38no—
274C2×#67—44no—
275C2×#67—124no—
276C2×#67—124no—
277C2×#67C22×D314yes—
278C2×#67C22×D318yes—
279C22×Dic3—32no—
280C22×Dic3—32no—
281C22×Dic3—32no—
282C22×Dic3—32no—
283C22×Dic3—38no—
284C22×Dic3—62no—
285C22×Dic3—62no—
286C22×Dic3—68no—
287C22×Dic3C22×D311yescharacteristic
288C22×Dic3C22×D312yes—
289C22×Dic3C22×D311yescharacteristic
290C22×Dic3C22×D311yescharacteristic
291C2×D12—24no—
292C2×D12C22×D314yes—
293C2×C4×D3—24no—
294C2×C4×D3—38no—
295C2×C4×D3—68no—
296C2×C4×D3C22×D314yes—
297C2×Dic6—38no—
298C2×Dic6—38no—
299C2×Dic6—124no—
300C2×Dic6—124no—
301C3×C4⋊C4—34no—
302C3×C4⋊C4—34no—
303C3×C22⋊C4—34no—
304C3×C22⋊C4—38no—
305C3×C22⋊C4—34no—
306C3×C42—34no—
307#217—38no—
308#217—38no—
309#217—38no—
310#217—38no—
311#217—38no—
312#217—68no—
313#217C22×D314yes—
314(C2×D3)⋊C4—38no—
315(C2×D3)⋊C4—38no—
316(C2×D3)⋊C4—38no—
317(C2×D3)⋊C4C22×D314yes—
318(C2×D3)⋊C4C22×D318yes—
319C4⋊Dic3—34no—
320C4⋊Dic3—34no—
321C4⋊Dic3—34no—
322C4⋊Dic3—34no—
323C4⋊Dic3—38no—
324C4⋊Dic3—64no—
325C4⋊Dic3—64no—
326C4⋊Dic3C22×D314yes—
327Dic3⋊C4—38no—
328Dic3⋊C4C22×D314yes—
329C4×Dic3—38no—
330C4×Dic3—38no—
331C4×Dic3—38no—
332C4×Dic3—38no—
333C4×Dic3—68no—
334C4×Dic3C22×D314yes—
335C22×C32—22no—
336C22×C32—22no—
337C22×C32—22no—
338C22×C32—44no—
339C22×C32C2×#4112yes—
340C22×C32C2×#4112yes—
341C22×C32H(5,𝔽2)12yes—
342C22×C32C2511yescharacteristic
343C2×C3×D3—24no—
344C2×C3×D3—22no—
345C2×C3×D3—24no—
346C2×C3×D3—22no—
347C2×C3×D3—22no—
348C2×C3×D3—24no—
349C2×C3×D3—44no—
350C2×C3×D3—48no—
351C32×C4—22no—
352C32×C4C2×#4114yes—
353C3⋊Dic3—24no—
354C3⋊Dic3—24no—
355C3×Dic3—22no—
356C3×Dic3—22no—
357C3×Dic3—24no—
358C3×Dic3C2×#4114yes—
359C22×Q8—92no—
360C22×D4—31no—
361C22×D4—32no—
362C22×D4—31no—
363C22×D4—92no—
364C23×C4—31no—
365C23×C4—92no—
366C23×C4D3211yescharacteristic
367C4⋊Q8—98no—
368#124—916no—
369#124—916no—
370#121—38no—
371#121—98no—
372#121—916no—
373C4×D4—38no—
374C4×D4—98no—
375#117—916no—
376#117—98no—
377#117—98no—
378C2×C4⋊C4—31no—
379C2×C4⋊C4—31no—
380C2×C4⋊C4—92no—
381C2×C4⋊C4—91no—
382C2×C4⋊C4—91no—
383C2×C22⋊C4—31no—
384C2×C22⋊C4—32no—
385C2×C22⋊C4—31no—
386C2×C22⋊C4—92no—
387C2×C22⋊C4—92no—
388C2×C22⋊C4—92no—
389C2×C22⋊C4—92no—
390C2×C42—31no—
391C2×C42—92no—
392C2×C42—92no—
393C23×C3—24no—
394C23×C3—22no—
395C23×C3—22no—
396C23×C3—22no—
397C23×C3—22no—
398C23×C3—22no—
399C23×C3—22no—
400C23×C3—22no—
401C23×C3—21no—
402C23×C3—34no—
403C23×C3—32no—
404C23×C3—42no—
405C23×C3—42no—
406C23×C3—64no—
407C23×C3—62no—
408C23×C3—64no—
409C23×C3—62no—
410C23×C3—62no—
411C23×C3—64no—
412C23×C3C23×D312yes—
413C23×C3C23×D312yes—
414C23×C3C23×D311yescharacteristic
415C23×C3C23×D311yescharacteristic
416C22×D3—22no—
417C22×D3—22no—
418C22×D3—24no—
419C22×D3—24no—
420C22×D3—24no—
421C22×D3—22no—
422C22×D3C23×D314yes—
423C22×D3C23×D312yes—
424C3×D4—68no—
425C3×D4—68no—
426C3×D4—128no—
427C2×C3×C4—24no—
428C2×C3×C4—216no—
429C2×C3×C4—22no—
430C2×C3×C4—22no—
431C2×C3×C4—28no—
432C2×C3×C4—28no—
433C2×C3×C4—22no—
434C2×C3×C4—22no—
435C2×C3×C4—24no—
436C2×C3×C4—34no—
437C2×C3×C4—32no—
438C2×C3×C4—32no—
439C2×C3×C4—34no—
440C2×C3×C4—32no—
441C2×C3×C4—62no—
442C2×C3×C4—62no—
443C2×C3×C4—64no—
444C2×C3×C4—68no—
445C2×C3×C4#23714yes—
446C2×C3×C4#23714yes—
447C2×C3×C4C23×D312yes—
448C2×C3×C4C23×D312yes—
449C2×C3×C4C23×D312yes—
450C2×C3×C4C23×D312yes—
451#67—28no—
452#67—48no—
453#67—128no—
454#67—128no—
455C2×Dic3—22no—
456C2×Dic3—24no—
457C2×Dic3—22no—
458C2×Dic3—34no—
459C2×Dic3—34no—
460C2×Dic3—34no—
461C2×Dic3—34no—
462C2×Dic3—64no—
463C2×Dic3—64no—
464C2×Dic3—64no—
465C2×Dic3—64no—
466C2×Dic3—64no—
467C2×Dic3—64no—
468C2×Dic3—616no—
469C2×Dic3—124no—
470C2×Dic3—124no—
471C2×Dic3#23514yes—
472C2×Dic3C23×D312yes—
473C2×Dic3C23×D314yes—
474C2×Dic3C23×D312yes—
475C2×Dic3C23×D312yes—
476D12—28no—
477C4×D3—28no—
478C4×D3—616no—
479Dic6—128no—
480Dic6—128no—
481C2×C32—42no—
482C2×C32#55514yescomplemented
483C2×C32C22×#4111yescharacteristic
484C2×C32C22×#4111yescharacteristic
485C2×C32C2×H(5,𝔽2)11yescharacteristic
486C3×D3—42no—
487C3×D3—44no—
488C24—31no—
489C24—32no—
490C24C2×D3211yescharacteristic
491C2×Q8—98no—
492C2×Q8—364no—
493C2×D4—34no—
494C2×D4—38no—
495C2×D4—34no—
496C2×D4—64no—
497C2×D4—64no—
498C2×D4—98no—
499C2×D4—124no—
500C2×D4—364no—
501C22×C4—24no—
502C22×C4—31no—
503C22×C4—31no—
504C22×C4—31no—
505C22×C4—32no—
506C22×C4—34no—
507C22×C4—64no—
508C22×C4—98no—
509C22×C4—92no—
510C22×C4—92no—
511C22×C4—188no—
512C22×C4C2×D3214yes—
513C22×C4C2×D3211yescharacteristic
514C22×C4C2×D3211yescharacteristic
515C4⋊C4—34no—
516C4⋊C4—34no—
517C4⋊C4—98no—
518C4⋊C4—94no—
519C4⋊C4—94no—
520C22⋊C4—34no—
521C22⋊C4—38no—
522C22⋊C4—34no—
523C22⋊C4—98no—
524C22⋊C4—98no—
525C22⋊C4—98no—
526C22⋊C4—98no—
527C42—34no—
528C42—98no—
529C42—98no—
530C22×C3—24no—
531C22×C3—22no—
532C22×C3—22no—
533C22×C3—22no—
534C22×C3—22no—
535C22×C3—22no—
536C22×C3—22no—
537C22×C3—22no—
538C22×C3—22no—
539C22×C3—22no—
540C22×C3—21no—
541C22×C3—42no—
542C22×C3—42no—
543C22×C3—48no—
544C22×C3—44no—
545C22×C3—44no—
546C22×C3—64no—
547C22×C3—62no—
548C22×C3—64no—
549C22×C3—62no—
550C22×C3—62no—
551C22×C3—64no—
552C22×C3—128no—
553C22×C3—124no—
554C22×C3C2×#23512yes—
555C22×C3C2×#23712yes—
556C22×C3C2×#23712yes—
557C22×C3#100412yes—
558C22×C3D3×#4112yes—
559C22×C3#100912yes—
560C22×C3C24×D311yescharacteristic
561C22×C3C24×D311yescharacteristic
562C2×D3—22no—
563C2×D3—22no—
564C2×D3—24no—
565C2×D3—24no—
566C2×D3—24no—
567C2×D3—22no—
568C2×D3—44no—
569C2×D3—48no—
570C3×C4—24no—
571C3×C4—22no—
572C3×C4—22no—
573C3×C4—24no—
574C3×C4—34no—
575C3×C4—62no—
576C3×C4—62no—
577C3×C4—64no—
578C3×C4C2×#23714yes—
579C3×C4C2×#23714yes—
580Dic3—22no—
581Dic3—24no—
582Dic3—22no—
583Dic3—64no—
584Dic3—64no—
585Dic3—64no—
586Dic3—64no—
587Dic3—124no—
588Dic3—124no—
589Dic3C2×#23514yes—
590C32C2×#55511yescharacteristic, complemented, Sylow
591C23—22no—
592C23—22no—
593C23—22no—
594C23—32no—
595C23—34no—
596C23—64no—
597C23—62no—
598C23—64no—
599C23—62no—
600C23—62no—
601C23—64no—
602C23C22×D3212yes—
603C23C22×D3211yescharacteristic
604Q8—368no—
605D4—68no—
606D4—68no—
607D4—128no—
608D4—368no—
609C2×C4—22no—
610C2×C4—28no—
611C2×C4—34no—
612C2×C4—32no—
613C2×C4—32no—
614C2×C4—32no—
615C2×C4—34no—
616C2×C4—64no—
617C2×C4—62no—
618C2×C4—62no—
619C2×C4—68no—
620C2×C4—94no—
621C2×C4—94no—
622C2×C4—1816no—
623C2×C4—184no—
624C2×C4—184no—
625C2×C4#380514yes—
626C2×C4C22×D3212yes—
627C2×C4C22×D3212yes—
628C2×C3—21no—
629C2×C3—21no—
630C2×C3—21no—
631C2×C3—24no—
632C2×C3—44no—
633C2×C3—42no—
634C2×C3—42no—
635C2×C3—124no—
636C2×C3—122no—
637C2×C3#556314yescomplemented
638C2×C3#561614yescomplemented
639C2×C3C22×#23511yescharacteristic
640C2×C3C22×#23711yescharacteristic
641C2×C3C22×#23711yescharacteristic
642C2×C3C2×#100411yescharacteristic
643C2×C3C2×D3×#4111yescharacteristic
644C2×C3C2×#100911yescharacteristic
645D3—42no—
646D3—44no—
647C22—22no—
648C22—22no—
649C22—22no—
650C22—44no—
651C22—64no—
652C22—62no—
653C22—64no—
654C22—62no—
655C22—62no—
656C22—64no—
657C22—128no—
658C22—124no—
659C22D3×#23512yes—
660C22#6430712yes—
661C22C2×#380512yes—
662C22C23×D3211yescharacteristic
663C4—22no—
664C4—34no—
665C4—64no—
666C4—62no—
667C4—62no—
668C4—184no—
669C4—184no—
670C4C2×#380514yes—
671C3—21no—
672C3C2×#556311yescharacteristic, complemented
673C3C2×#561611yescharacteristic, complemented
674C2—42no—
675C2—124no—
676C2—122no—
677C2#1059502614yesdirect product factor
678C2C2×D3×#23511yescharacteristic
679C2C2×#6430711yescharacteristic
680C2C22×#380511yescharacteristic
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×#64135C2semidirect
2. C2×C3×#930C2semidirect
3. C2×C3×C4×#67C2semidirect
4. C2×#63970C2semidirect
5. C2×#63959C2semidirect
6. C2×#63918C2semidirect
7. #10595026C2direct (N × H)
8. C2×#63915C2semidirect
9. C2×#63908C2semidirect
10. C2×Dic3×D12C2semidirect
11. C2×#63878C2semidirect
12. C2×#63841C2semidirect
24. #64135C22semidirect
29. C3×#930C22semidirect
30. C3×C4×#67C22semidirect
36. #63970C22semidirect
41. #63959C22semidirect
43. #63918C22semidirect
44. #63915C22semidirect
45. #63908C22semidirect
46. Dic3×D12C22semidirect
47. #63878C22semidirect
48. #63841C22semidirect
57. C2×#930D3semidirect
58. C2×C4×#67D3semidirect
155. #930C2×D3semidirect
156. C4×#67C2×D3semidirect
482. C2×C32#555semidirect
590. C32C2×#555semidirect
637. C2×C3#5563semidirect
638. C2×C3#5616semidirect
672. C3C2×#5563semidirect
673. C3C2×#5616semidirect
677. C2#10595026direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#641352
C2×C3×#9302
C2×C3×C4×#672
C2×#639702
C2×#639592
C2×#639182
#105950262
C2×#639152
C2×#639082
C2×Dic3×D122
C2×#638782
C2×#638412
C2×#56163
C2×#55633