Finite Group Databasebeta

← C2×#10595217 #11901506

Subgroups — C2×#10595217 #11901506

Order 1152.

2733 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×D4×C3⋊Dic3C211yesmaximal, characteristic, complemented
2C2×C3×#940C211yesmaximal, characteristic, complemented
3C2×C3×#938C211yesmaximal, characteristic, complemented
4C2×#63980C212yesmaximal, complemented
5C2×#63970C212yesmaximal, complemented
6C2×#63969C212yesmaximal, complemented
7C2×#63962C212yesmaximal, complemented
8#10595217C2116yesmaximal, direct product factor
9C2×#63908C211yesmaximal, characteristic, complemented
10C2×#63898C211yesmaximal, characteristic, complemented
11C2×#63869C211yesmaximal, characteristic, complemented
12C2×#63855C211yesmaximal, characteristic, complemented
13C2×#5719—31nomaximal
14C2×#5619—31nomaximal
15C22×C32×D4C2211yescharacteristic
16C23×C3⋊Dic3C2212yes—
17C22×C3×#67C2212yes—
18C22×C3×#67C2212yes—
19C22×C3×#67C2212yes—
20C22×C3×D12C2211yescharacteristic
21C22×C3×C4×D3C2211yescharacteristic
22C22×#625C2212yes—
23C22×D3×Dic3C2212yes—
24C2×#3757C2212yes—
25D4×C3⋊Dic3C2218yescomplemented
26C2×C4⋊(C3⋊Dic3)C2211yescharacteristic
27C2×C4×C3⋊Dic3C2211yescharacteristic
28C2×C3×#217C2212yes—
29C3×#940C2218yescomplemented
30C3×#938C2218yescomplemented
31C2×C3×C4⋊Dic3C2211yescharacteristic
32C2×C3×C4×Dic3C2211yescharacteristic
33#63980C22116yescomplemented
34#63970C22116yescomplemented
35#63969C22116yescomplemented
36C2×#3724C2212yes—
37C2×Dic3⋊Dic3C2211yescharacteristic
38C2×Dic3⋊Dic3C2211yescharacteristic
39C2×Dic3⋊Dic3C2212yes—
40#63962C22116yescomplemented
41C2×(C2×D3)⋊Dic3C2211yescharacteristic
42C2×(C2×D3)⋊Dic3C2211yescharacteristic
43C2×(C2×D3)⋊Dic3C2212yes—
44C2×(C2×D3)⋊Dic3C2212yes—
45#63908C2218yescomplemented
46#63898C2218yescomplemented
47#63869C2218yescomplemented
48#63855C2218yescomplemented
49C2×C3×#127—31no—
50C2×C3×#121—31no—
51C2×#940D311yescharacteristic, complemented
52C2×#939—32no—
53C2×#939—32no—
54C2×#939—32no—
55C2×#938—32no—
56C2×#938—31no—
57C2×#938D311yescharacteristic, complemented
58C2×#935—32no—
59C2×#935—32no—
60C2×D4×Dic3—31no—
61C2×D4×Dic3—31no—
62C2×D4×Dic3—31no—
63C2×D4×Dic3—61no—
64C2×#930—31no—
65C2×#926—31no—
66#5719—316no—
67#5619—316no—
68C2×#893—31no—
69C2×#890—31no—
70C2×#886—32no—
71C2×#883—32no—
72C2×#872—31no—
73C2×#870—31no—
74C24×C32C2312yes—
75C23×C3×D3C2312yes—
76C23×C3×D3C2311yescharacteristic
77C2×C32×D4—24no—
78C2×C32×D4C2314yes—
79C22×C32×C4C2311yescharacteristic
80C22×C3⋊Dic3—44no—
81C22×C3⋊Dic3C2311yescharacteristic
82C22×C3⋊Dic3C2312yes—
83C22×C3⋊Dic3C2311yescharacteristic
84C22×C3⋊Dic3C2318yes—
85C2×C3×#67—44no—
86C2×C3×#67—44no—
87C2×C3×#67—44no—
88C2×C3×#67C2318yes—
89C2×C3×#67C2318yes—
90C2×C3×#67C2318yes—
91C22×C3×Dic3C2311yescharacteristic
92C22×C3×Dic3C2311yescharacteristic
93C22×C3×Dic3C2312yes—
94C22×C3×Dic3C2311yescharacteristic
95C2×C3×D12—24no—
96C2×C3×D12C2314yes—
97C2×C3×C4×D3—24no—
98C2×C3×C4×D3C2314yes—
99C2×#625—44no—
100C2×#625C2318yes—
101C2×D3×Dic3—44no—
102C2×D3×Dic3C2318yes—
103#3757C2318yes—
104C4⋊(C3⋊Dic3)C2314yes—
105C4×C3⋊Dic3C2314yes—
106C3×#217C2318yes—
107C3×C4⋊Dic3C2314yes—
108C3×C4×Dic3C2314yes—
109#3724C2318yes—
110Dic3⋊Dic3C2314yes—
111Dic3⋊Dic3C2314yes—
112Dic3⋊Dic3C2318yes—
113(C2×D3)⋊Dic3C2314yes—
114(C2×D3)⋊Dic3C2314yes—
115(C2×D3)⋊Dic3C2318yes—
116(C2×D3)⋊Dic3C2318yes—
117C2×#540—91noSylow
118C22×C3×D4—21no—
119C22×C3×D4—32no—
120C22×C3×D4—32no—
121C22×C3×D4—32no—
122C22×C3×D4—31no—
123C22×C3×D4C2×D311yescharacteristic
124C22×C3×D4C2×D311yescharacteristic
125C23×C3×C4—31no—
126C22×#67—32no—
127C22×#67—32no—
128C22×#67C2×D312yes—
129C22×#67C2×D312yes—
130C22×#67C2×D312yes—
131C23×Dic3—32no—
132C23×Dic3—32no—
133C23×Dic3—32no—
134C23×Dic3—62no—
135C22×D12C2×D311yescharacteristic
136C22×C4×D3—32no—
137C22×C4×D3C2×D311yescharacteristic
138C3×#127—38no—
139C3×#121—38no—
140C2×C3×C4⋊C4—31no—
141C2×C3×C22⋊C4—32no—
142C2×C3×C42—31no—
143C2×#217—32no—
144C2×#217—32no—
145C2×#217—31no—
146C2×#217—31no—
147C2×#217—32no—
148C2×#217—32no—
149C2×#217—62no—
150C2×#217C2×D312yes—
151#940C2×D318yescomplemented
152#939—316no—
153#939—316no—
154#939—316no—
155#938—316no—
156#938—38no—
157#938C2×D318yescomplemented
158#935—316no—
159#935—316no—
160D4×Dic3—38no—
161D4×Dic3—38no—
162D4×Dic3—38no—
163D4×Dic3—68no—
164#930—38no—
165C2×(C2×D3)⋊C4—31no—
166C2×(C2×D3)⋊C4—31no—
167C2×(C2×D3)⋊C4—32no—
168C2×(C2×D3)⋊C4—32no—
169#926—38no—
170C2×C4⋊Dic3—31no—
171C2×C4⋊Dic3—31no—
172C2×C4⋊Dic3—31no—
173C2×C4⋊Dic3—31no—
174C2×C4⋊Dic3—32no—
175C2×C4⋊Dic3—61no—
176C2×C4⋊Dic3C2×D311yescharacteristic
177C2×Dic3⋊C4—32no—
178C2×Dic3⋊C4—32no—
179C2×Dic3⋊C4—31no—
180C2×Dic3⋊C4—31no—
181C2×Dic3⋊C4—32no—
182C2×C4×Dic3—31no—
183C2×C4×Dic3—31no—
184C2×C4×Dic3—61no—
185C2×C4×Dic3C2×D311yescharacteristic
186#893—38no—
187#890—38no—
188#886—316no—
189#883—316no—
190#872—38no—
191#870—38no—
192C23×C32—24no—
193C23×C32—24no—
194C23×C32—24no—
195C23×C32C2414yes—
196C23×C32C2411yescharacteristic
197C22×C3×D3—22no—
198C22×C3×D3—24no—
199C22×C3×D3—24no—
200C22×C3×D3—22no—
201C22×C3×D3—24no—
202C22×C3×D3—22no—
203C22×C3×D3C2414yes—
204C22×C3×D3C2412yes—
205C32×D4—28no—
206C2×C32×C4#4114yes—
207C2×C32×C4C2412yes—
208C2×C3⋊Dic3—22no—
209C2×C3⋊Dic3—22no—
210C2×C3⋊Dic3—24no—
211C2×C3⋊Dic3—48no—
212C2×C3⋊Dic3C2412yes—
213C2×C3⋊Dic3C2414yes—
214C2×C3⋊Dic3C2412yes—
215C3×#67—48no—
216C3×#67—48no—
217C3×#67—48no—
218C2×C3×Dic3—22no—
219C2×C3×Dic3—24no—
220C2×C3×Dic3—22no—
221C2×C3×Dic3—22no—
222C2×C3×Dic3C2412yes—
223C2×C3×Dic3C2412yes—
224C2×C3×Dic3C2412yes—
225C2×C3×Dic3C2414yes—
226C3×D12—28no—
227C3×C4×D3—28no—
228#625—48no—
229D3×Dic3—48no—
230#540—916no—
231C2×#127—31no—
232C2×#125—91no—
233C2×#123—92no—
234C2×#123—92no—
235C2×#121—31no—
236C2×#121—91no—
237C2×#121—92no—
238C2×#121—92no—
239C2×C4×D4—91no—
240C2×C4×D4—91no—
241C2×#117—91no—
242C24×C3—22no—
243C24×C3—32no—
244C24×C3—31no—
245C24×C3C22×D312yes—
246C24×C3C22×D312yes—
247C23×D3C22×D312yes—
248C23×D3C22×D311yescharacteristic
249C2×C3×D4—28no—
250C2×C3×D4—24no—
251C2×C3×D4—24no—
252C2×C3×D4—24no—
253C2×C3×D4—38no—
254C2×C3×D4—38no—
255C2×C3×D4—38no—
256C2×C3×D4—34no—
257C2×C3×D4—64no—
258C2×C3×D4—124no—
259C2×C3×D4—124no—
260C2×C3×D4—124no—
261C2×C3×D4C22×D314yes—
262C2×C3×D4C22×D314yes—
263C22×C3×C4—21no—
264C22×C3×C4—31no—
265C22×C3×C4—31no—
266C22×C3×C4—32no—
267C22×C3×C4—31no—
268C22×C3×C4—34no—
269C22×C3×C4—64no—
270C22×C3×C4C22×D311yescharacteristic
271C22×C3×C4C22×D311yescharacteristic
272C2×#67—38no—
273C2×#67—38no—
274C2×#67—44no—
275C2×#67—44no—
276C2×#67—44no—
277C2×#67—124no—
278C2×#67—124no—
279C2×#67C22×D318yes—
280C2×#67C22×D318yes—
281C2×#67C22×D318yes—
282C22×Dic3—31no—
283C22×Dic3—31no—
284C22×Dic3—31no—
285C22×Dic3—31no—
286C22×Dic3—32no—
287C22×Dic3—32no—
288C22×Dic3—38no—
289C22×Dic3—38no—
290C22×Dic3—38no—
291C22×Dic3—61no—
292C22×Dic3—61no—
293C22×Dic3—62no—
294C22×Dic3—68no—
295C22×Dic3—124no—
296C22×Dic3—124no—
297C22×Dic3—124no—
298C22×Dic3—128no—
299C22×Dic3C22×D311yescharacteristic
300C22×Dic3C22×D311yescharacteristic
301C22×Dic3C22×D312yes—
302C22×Dic3C22×D311yescharacteristic
303C2×D12—24no—
304C2×D12C22×D314yes—
305C2×C4×D3—24no—
306C2×C4×D3—38no—
307C2×C4×D3—124no—
308C2×C4×D3C22×D314yes—
309C3×C4⋊C4—34no—
310C3×C22⋊C4—38no—
311C3×C42—34no—
312#217—38no—
313#217—38no—
314#217—34no—
315#217—34no—
316#217—38no—
317#217—38no—
318#217—68no—
319#217C22×D318yes—
320(C2×D3)⋊C4—34no—
321(C2×D3)⋊C4—34no—
322(C2×D3)⋊C4—38no—
323(C2×D3)⋊C4—38no—
324C4⋊Dic3—34no—
325C4⋊Dic3—34no—
326C4⋊Dic3—34no—
327C4⋊Dic3—34no—
328C4⋊Dic3—38no—
329C4⋊Dic3—64no—
330C4⋊Dic3C22×D314yes—
331Dic3⋊C4—38no—
332Dic3⋊C4—38no—
333Dic3⋊C4—34no—
334Dic3⋊C4—34no—
335Dic3⋊C4—38no—
336C4×Dic3—34no—
337C4×Dic3—34no—
338C4×Dic3—64no—
339C4×Dic3C22×D314yes—
340C22×C32—24no—
341C22×C32—24no—
342C22×C32—24no—
343C22×C32—48no—
344C22×C32C2×#4112yes—
345C22×C32H(5,𝔽2)12yes—
346C22×C32H(5,𝔽2)12yes—
347C22×C32C2511yescharacteristic
348C2×C3×D3—22no—
349C2×C3×D3—24no—
350C2×C3×D3—24no—
351C2×C3×D3—22no—
352C2×C3×D3—24no—
353C2×C3×D3—22no—
354C2×C3×D3—48no—
355C2×C3×D3—44no—
356C32×C4C2×#4114yes—
357C3⋊Dic3—22no—
358C3⋊Dic3—22no—
359C3⋊Dic3—24no—
360C3×Dic3—22no—
361C3×Dic3—24no—
362C3×Dic3—22no—
363C3×Dic3—22no—
364C22×D4—32no—
365C22×D4—32no—
366C22×D4—32no—
367C22×D4—31no—
368C22×D4—92no—
369C22×D4D3211yescharacteristic
370C23×C4—31no—
371C23×C4—92no—
372C23×C4—92no—
373#127—38no—
374#125—98no—
375#123—916no—
376#123—916no—
377#121—38no—
378#121—98no—
379#121—916no—
380#121—916no—
381C4×D4—98no—
382C4×D4—98no—
383#117—98no—
384C2×C4⋊C4—31no—
385C2×C4⋊C4—91no—
386C2×C4⋊C4—91no—
387C2×C4⋊C4—92no—
388C2×C4⋊C4—92no—
389C2×C4⋊C4—91no—
390C2×C22⋊C4—32no—
391C2×C22⋊C4—91no—
392C2×C22⋊C4—91no—
393C2×C22⋊C4—92no—
394C2×C22⋊C4—92no—
395C2×C22⋊C4—92no—
396C2×C42—31no—
397C2×C42—91no—
398C23×C3—28no—
399C23×C3—24no—
400C23×C3—24no—
401C23×C3—24no—
402C23×C3—24no—
403C23×C3—24no—
404C23×C3—24no—
405C23×C3—24no—
406C23×C3—21no—
407C23×C3—34no—
408C23×C3—32no—
409C23×C3—44no—
410C23×C3—44no—
411C23×C3—62no—
412C23×C3—64no—
413C23×C3—64no—
414C23×C3—62no—
415C23×C3—62no—
416C23×C3—64no—
417C23×C3C23×D314yes—
418C23×C3C23×D314yes—
419C23×C3C23×D311yescharacteristic
420C23×C3C23×D311yescharacteristic
421C22×D3—22no—
422C22×D3—24no—
423C22×D3—24no—
424C22×D3—22no—
425C22×D3—24no—
426C22×D3—22no—
427C22×D3C23×D314yes—
428C22×D3C23×D312yes—
429C3×D4—216no—
430C3×D4—28no—
431C3×D4—28no—
432C3×D4—68no—
433C3×D4—128no—
434C3×D4—128no—
435C3×D4—128no—
436C2×C3×C4—22no—
437C2×C3×C4—24no—
438C2×C3×C4—32no—
439C2×C3×C4—32no—
440C2×C3×C4—34no—
441C2×C3×C4—32no—
442C2×C3×C4—62no—
443C2×C3×C4—64no—
444C2×C3×C4—62no—
445C2×C3×C4—62no—
446C2×C3×C4—68no—
447C2×C3×C4#23714yes—
448C2×C3×C4#23714yes—
449C2×C3×C4C23×D312yes—
450C2×C3×C4C23×D312yes—
451#67—48no—
452#67—48no—
453#67—48no—
454#67—128no—
455#67—128no—
456C2×Dic3—22no—
457C2×Dic3—24no—
458C2×Dic3—22no—
459C2×Dic3—22no—
460C2×Dic3—32no—
461C2×Dic3—32no—
462C2×Dic3—32no—
463C2×Dic3—32no—
464C2×Dic3—34no—
465C2×Dic3—34no—
466C2×Dic3—62no—
467C2×Dic3—62no—
468C2×Dic3—64no—
469C2×Dic3—64no—
470C2×Dic3—62no—
471C2×Dic3—62no—
472C2×Dic3—62no—
473C2×Dic3—64no—
474C2×Dic3—62no—
475C2×Dic3—64no—
476C2×Dic3—122no—
477C2×Dic3—124no—
478C2×Dic3—128no—
479C2×Dic3—128no—
480C2×Dic3—128no—
481C2×Dic3—1216no—
482C2×Dic3C23×D312yes—
483C2×Dic3C23×D312yes—
484C2×Dic3C23×D314yes—
485C2×Dic3C23×D312yes—
486D12—28no—
487C4×D3—28no—
488C4×D3—128no—
489C2×C32—44no—
490C2×C32#54014yescomplemented
491C2×C32C22×#4111yescharacteristic
492C2×C32C2×H(5,𝔽2)11yescharacteristic
493C2×C32C2×H(5,𝔽2)11yescharacteristic
494C3×D3—42no—
495C3×D3—44no—
496C24—31no—
497C24—32no—
498C24C2×D3212yes—
499C2×D4—24no—
500C2×D4—38no—
501C2×D4—38no—
502C2×D4—38no—
503C2×D4—34no—
504C2×D4—64no—
505C2×D4—98no—
506C2×D4—124no—
507C2×D4—124no—
508C2×D4—124no—
509C2×D4—364no—
510C2×D4C2×D3214yes—
511C22×C4—31no—
512C22×C4—31no—
513C22×C4—31no—
514C22×C4—32no—
515C22×C4—34no—
516C22×C4—64no—
517C22×C4—98no—
518C22×C4—91no—
519C22×C4—91no—
520C22×C4—92no—
521C22×C4—98no—
522C22×C4—364no—
523C22×C4—364no—
524C22×C4C2×D3211yescharacteristic
525C4⋊C4—34no—
526C4⋊C4—94no—
527C4⋊C4—94no—
528C4⋊C4—98no—
529C4⋊C4—98no—
530C4⋊C4—94no—
531C22⋊C4—38no—
532C22⋊C4—94no—
533C22⋊C4—94no—
534C22⋊C4—98no—
535C22⋊C4—98no—
536C22⋊C4—98no—
537C42—34no—
538C42—94no—
539C22×C3—28no—
540C22×C3—24no—
541C22×C3—24no—
542C22×C3—24no—
543C22×C3—24no—
544C22×C3—24no—
545C22×C3—24no—
546C22×C3—22no—
547C22×C3—22no—
548C22×C3—22no—
549C22×C3—21no—
550C22×C3—44no—
551C22×C3—44no—
552C22×C3—416no—
553C22×C3—48no—
554C22×C3—48no—
555C22×C3—62no—
556C22×C3—64no—
557C22×C3—64no—
558C22×C3—62no—
559C22×C3—62no—
560C22×C3—64no—
561C22×C3—124no—
562C22×C3—128no—
563C22×C3C2×#23712yes—
564C22×C3C2×#23712yes—
565C22×C3#100412yes—
566C22×C3#100412yes—
567C22×C3#100412yes—
568C22×C3#100912yes—
569C22×C3C24×D311yescharacteristic
570C22×C3C24×D311yescharacteristic
571C2×D3—22no—
572C2×D3—24no—
573C2×D3—24no—
574C2×D3—22no—
575C2×D3—24no—
576C2×D3—22no—
577C2×D3—48no—
578C2×D3—44no—
579C3×C4—24no—
580C3×C4—62no—
581C3×C4—64no—
582C3×C4—62no—
583C3×C4—62no—
584C3×C4C2×#23714yes—
585C3×C4C2×#23714yes—
586Dic3—22no—
587Dic3—24no—
588Dic3—22no—
589Dic3—22no—
590Dic3—64no—
591Dic3—62no—
592Dic3—62no—
593Dic3—62no—
594Dic3—64no—
595Dic3—62no—
596Dic3—64no—
597Dic3—124no—
598Dic3—122no—
599C32C2×#54011yescharacteristic, complemented, Sylow
600C23—24no—
601C23—24no—
602C23—24no—
603C23—32no—
604C23—34no—
605C23—64no—
606C23—62no—
607C23—64no—
608C23—62no—
609C23—62no—
610C23—64no—
611C23C22×D3214yes—
612C23C22×D3211yescharacteristic
613D4—28no—
614D4—68no—
615D4—128no—
616D4—128no—
617D4—128no—
618D4—368no—
619C2×C4—32no—
620C2×C4—32no—
621C2×C4—32no—
622C2×C4—34no—
623C2×C4—64no—
624C2×C4—62no—
625C2×C4—62no—
626C2×C4—62no—
627C2×C4—68no—
628C2×C4—92no—
629C2×C4—92no—
630C2×C4—94no—
631C2×C4—182no—
632C2×C4—182no—
633C2×C4—184no—
634C2×C4—368no—
635C2×C4—368no—
636C2×C4#380514yes—
637C2×C4C22×D3212yes—
638C2×C3—21no—
639C2×C3—21no—
640C2×C3—21no—
641C2×C3—24no—
642C2×C3—48no—
643C2×C3—44no—
644C2×C3—44no—
645C2×C3—124no—
646C2×C3—122no—
647C2×C3#561914yescomplemented
648C2×C3#571914yescomplemented
649C2×C3C22×#23711yescharacteristic
650C2×C3C22×#23711yescharacteristic
651C2×C3C2×#100411yescharacteristic
652C2×C3C2×#100411yescharacteristic
653C2×C3C2×#100411yescharacteristic
654C2×C3C2×#100911yescharacteristic
655D3—42no—
656D3—44no—
657C22—24no—
658C22—24no—
659C22—24no—
660C22—48no—
661C22—64no—
662C22—62no—
663C22—64no—
664C22—62no—
665C22—62no—
666C22—64no—
667C22—128no—
668C22—124no—
669C22#6431312yes—
670C22#6431412yes—
671C22C2×#380512yes—
672C22C23×D3211yescharacteristic
673C4—64no—
674C4—62no—
675C4—62no—
676C4—62no—
677C4—182no—
678C4—182no—
679C4—184no—
680C4C2×#380514yes—
681C3—21no—
682C3C2×#561911yescharacteristic, complemented
683C3C2×#571911yescharacteristic, complemented
684C2—44no—
685C2—124no—
686C2—122no—
687C2#1059521714yesdirect product factor
688C2C2×#6431311yescharacteristic
689C2C2×#6431411yescharacteristic
690C2C22×#380511yescharacteristic
subgroupG/H
centerC23C22×D32
commutator, cosocleC22×C32C25
FrattiniC22C23×D32
FittingC22×C32×D4C22
socleC23×C32C24
hypercenterC22×D4D32
hypocenterC32C2×#540
LCSG ▷ C22×C32 ▷ C32
UCSC1 ◁ C23 ◁ C22×D4

Complements

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

NH ≅ G/Ntype
1. C2×D4×C3⋊Dic3C2semidirect
2. C2×C3×#940C2semidirect
3. C2×C3×#938C2semidirect
4. C2×#63980C2semidirect
5. C2×#63970C2semidirect
6. C2×#63969C2semidirect
7. C2×#63962C2semidirect
8. #10595217C2direct (N × H)
9. C2×#63908C2semidirect
10. C2×#63898C2semidirect
11. C2×#63869C2semidirect
12. C2×#63855C2semidirect
25. D4×C3⋊Dic3C22semidirect
29. C3×#940C22semidirect
30. C3×#938C22semidirect
33. #63980C22semidirect
34. #63970C22semidirect
35. #63969C22semidirect
40. #63962C22semidirect
45. #63908C22semidirect
46. #63898C22semidirect
47. #63869C22semidirect
48. #63855C22semidirect
51. C2×#940D3semidirect
57. C2×#938D3semidirect
151. #940C2×D3semidirect
157. #938C2×D3semidirect
490. C2×C32#540semidirect
599. C32C2×#540semidirect
647. C2×C3#5619semidirect
648. C2×C3#5719semidirect
682. C3C2×#5619semidirect
683. C3C2×#5719semidirect
687. C2#10595217direct (N × H)

Maximal subgroups

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

subgroupindex
C2×D4×C3⋊Dic32
C2×C3×#9402
C2×C3×#9382
C2×#639802
C2×#639702
C2×#639692
C2×#639622
#105952172
C2×#639082
C2×#638982
C2×#638692
C2×#638552
C2×#57193
C2×#56193