Finite Group Databasebeta

← C2×#10594995 #11903171

Subgroups — C2×#10594995 #11903171

Order 1152.

2713 conjugacy classes of subgroups.

The subgroup lattice has 684 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C4⋊(C3⋊Dic3)C211yesmaximal, characteristic, complemented
2C2×C3×#930C211yesmaximal, characteristic, complemented
3C2×C3×C4×#67C211yesmaximal, characteristic, complemented
4C2×#63980C212yesmaximal, complemented
5C2×#67⋊Dic3C212yesmaximal, complemented
6C2×#63908C211yesmaximal, characteristic, complemented
7#10594995C2116yesmaximal, direct product factor
8C2×Dic3×D12C211yesmaximal, characteristic, complemented
9C2×#63891C212yesmaximal, complemented
10C2×#63869C211yesmaximal, characteristic, complemented
11C2×#63861C212yesmaximal, complemented
12C2×#63841C211yesmaximal, characteristic, complemented
13C2×#5618—31nomaximal
14C2×#5565—31nomaximal
15C23×C32×C4C2211yescharacteristic
16C23×C3⋊Dic3C2212yes—
17C22×C3×#67C2211yescharacteristic
18C22×C3×#67C2212yes—
19C22×C3×D12C2211yescharacteristic
20C22×C3×C4×D3C2211yescharacteristic
21C22×#625C2212yes—
22C22×D3×Dic3C2212yes—
23C2×C4⋊(C3⋊Dic3)C2212yes—
24C2×C4⋊(C3⋊Dic3)C2211yescharacteristic
25C2×C4⋊(C3⋊Dic3)C2211yescharacteristic
26C2×C4⋊(C3⋊Dic3)C2218yescomplemented
27C2×C3×#217C2211yescharacteristic
28C3×#930C2218yescomplemented
29C3×C4×#67C2218yescomplemented
30C2×C3×(C2×D3)⋊C4C2212yes—
31C2×C3×(C2×D3)⋊C4C2211yescharacteristic
32C2×C3×C4⋊Dic3C2211yescharacteristic
33C2×C3×Dic3⋊C4C2211yescharacteristic
34C2×C3×C4×Dic3C2211yescharacteristic
35#63980C22116yescomplemented
36#67⋊Dic3C22116yescomplemented
37C2×#3724C2212yes—
38C2×Dic3⋊Dic3C2212yes—
39C2×(C2×D3)⋊Dic3C2212yes—
40C2×(C2×D3)⋊Dic3C2212yes—
41C2×(C2×D3)⋊Dic3C2212yes—
42C2×Dic32C2212yes—
43#63908C2218yescomplemented
44Dic3×D12C2218yescomplemented
45#63891C22116yescomplemented
46#63869C2218yescomplemented
47#63861C22116yescomplemented
48#63841C2218yescomplemented
49C2×C3×#121—31no—
50C2×C3×C4×D4—31no—
51C2×#939—32no—
52C2×#939—32no—
53C2×#938—31no—
54C2×D4×Dic3—32no—
55C2×D4×Dic3—31no—
56C2×#930—31no—
57C2×#930D311yescharacteristic, complemented
58C2×C4×#67D311yescharacteristic, complemented
59C2×#926—31no—
60C22×C4⋊Dic3—31no—
61C22×C4⋊Dic3—31no—
62C22×C4⋊Dic3—61no—
63#5618—316no—
64#5565—316no—
65C2×#898—32no—
66C2×#892—31no—
67C2×#890—31no—
68C2×#886—32no—
69C2×#883—32no—
70C2×#67⋊C4—32no—
71C2×#879—32no—
72C2×C4×D12—31no—
73C2×#870—31no—
74C24×C32C2311yescharacteristic
75C23×C3×D3C2312yes—
76C23×C3×D3C2311yescharacteristic
77C22×C32×C4—24no—
78C22×C32×C4C2311yescharacteristic
79C22×C32×C4C2314yes—
80C22×C32×C4C2311yescharacteristic
81C22×C3⋊Dic3—44no—
82C22×C3⋊Dic3C2312yes—
83C22×C3⋊Dic3C2312yes—
84C22×C3⋊Dic3C2318yes—
85C2×C3×#67—24no—
86C2×C3×#67—28no—
87C2×C3×#67C2314yes—
88C2×C3×#67C2318yes—
89C22×C3×Dic3C2311yescharacteristic
90C22×C3×Dic3C2311yescharacteristic
91C22×C3×Dic3C2311yescharacteristic
92C22×C3×Dic3C2312yes—
93C2×C3×D12—24no—
94C2×C3×D12C2314yes—
95C2×C3×C4×D3—24no—
96C2×C3×C4×D3C2314yes—
97C2×#625—44no—
98C2×#625C2318yes—
99C2×D3×Dic3—44no—
100C2×D3×Dic3C2318yes—
101C4⋊(C3⋊Dic3)C2314yes—
102C4⋊(C3⋊Dic3)C2318yes—
103C4⋊(C3⋊Dic3)C2314yes—
104C3×#217C2314yes—
105C3×(C2×D3)⋊C4C2314yes—
106C3×(C2×D3)⋊C4C2318yes—
107C3×C4⋊Dic3C2314yes—
108C3×Dic3⋊C4C2314yes—
109C3×C4×Dic3C2314yes—
110#3724C2318yes—
111Dic3⋊Dic3C2318yes—
112(C2×D3)⋊Dic3C2318yes—
113(C2×D3)⋊Dic3C2318yes—
114(C2×D3)⋊Dic3C2318yes—
115Dic32C2318yes—
116C2×#553—91noSylow
117C22×C3×D4—32no—
118C22×C3×D4—31no—
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×D312yes—
127C22×#67C2×D311yescharacteristic
128C23×Dic3—32no—
129C23×Dic3—32no—
130C23×Dic3—32no—
131C23×Dic3—62no—
132C22×D12C2×D311yescharacteristic
133C22×C4×D3—32no—
134C22×C4×D3C2×D311yescharacteristic
135C3×#121—38no—
136C3×C4×D4—38no—
137C2×C3×C4⋊C4—31no—
138C2×C3×C4⋊C4—31no—
139C2×C3×C22⋊C4—31no—
140C2×C3×C22⋊C4—32no—
141C2×C3×C22⋊C4—31no—
142C2×C3×C42—31no—
143C2×#217—32no—
144C2×#217—32no—
145C2×#217—32no—
146C2×#217C2×D311yescharacteristic
147#939—316no—
148#939—316no—
149#938—38no—
150D4×Dic3—316no—
151D4×Dic3—38no—
152#930—38no—
153#930C2×D318yescomplemented
154C4×#67C2×D318yescomplemented
155C2×(C2×D3)⋊C4—32no—
156C2×(C2×D3)⋊C4—32no—
157C2×(C2×D3)⋊C4—32no—
158C2×(C2×D3)⋊C4C2×D312yes—
159C2×(C2×D3)⋊C4C2×D311yescharacteristic
160#926—38no—
161C2×C4⋊Dic3—31no—
162C2×C4⋊Dic3—31no—
163C2×C4⋊Dic3—32no—
164C2×C4⋊Dic3—32no—
165C2×C4⋊Dic3—31no—
166C2×C4⋊Dic3—31no—
167C2×C4⋊Dic3—38no—
168C2×C4⋊Dic3—38no—
169C2×C4⋊Dic3—32no—
170C2×C4⋊Dic3—61no—
171C2×C4⋊Dic3—61no—
172C2×C4⋊Dic3—62no—
173C2×C4⋊Dic3—68no—
174C2×C4⋊Dic3C2×D311yescharacteristic
175C2×Dic3⋊C4—32no—
176C2×Dic3⋊C4—32no—
177C2×Dic3⋊C4—32no—
178C2×Dic3⋊C4C2×D311yescharacteristic
179C2×C4×Dic3—32no—
180C2×C4×Dic3—32no—
181C2×C4×Dic3C2×D311yescharacteristic
182#898—316no—
183#892—38no—
184#890—38no—
185#886—316no—
186#883—316no—
187#67⋊C4—316no—
188#879—316no—
189C4×D12—38no—
190#870—38no—
191C23×C32—22no—
192C23×C32—22no—
193C23×C32#4114yes—
194C23×C32C2412yes—
195C23×C32C2411yescharacteristic
196C22×C3×D3—22no—
197C22×C3×D3—24no—
198C22×C3×D3—22no—
199C22×C3×D3—24no—
200C22×C3×D3—24no—
201C22×C3×D3—22no—
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⋊Dic3—48no—
212C2×C3⋊Dic3C2414yes—
213C2×C3⋊Dic3C2414yes—
214C3×#67—28no—
215C3×#67—216no—
216C2×C3×Dic3—22no—
217C2×C3×Dic3—22no—
218C2×C3×Dic3—24no—
219C2×C3×Dic3—22no—
220C2×C3×Dic3C2412yes—
221C2×C3×Dic3C2414yes—
222C2×C3×Dic3C2412yes—
223C2×C3×Dic3C2412yes—
224C3×D12—28no—
225C3×C4×D3—28no—
226#625—48no—
227D3×Dic3—48no—
228#553—916no—
229C2×#126—92no—
230C2×#125—91no—
231C2×#123—92no—
232C2×#121—31no—
233C2×#121—91no—
234C2×#121—92no—
235C2×C4×D4—31no—
236C2×C4×D4—91no—
237C2×C4×D4—92no—
238C2×#117—91no—
239C22×C4⋊C4—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—38no—
248C2×C3×D4—34no—
249C2×C3×D4—34no—
250C2×C3×D4—68no—
251C2×C3×D4—64no—
252C2×C3×D4—64no—
253C22×C3×C4—28no—
254C22×C3×C4—24no—
255C22×C3×C4—24no—
256C22×C3×C4—24no—
257C22×C3×C4—21no—
258C22×C3×C4—21no—
259C22×C3×C4—31no—
260C22×C3×C4—32no—
261C22×C3×C4—31no—
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—28no—
273C2×#67—38no—
274C2×#67—38no—
275C2×#67—124no—
276C2×#67—124no—
277C2×#67C22×D318yes—
278C2×#67C22×D314yes—
279C22×Dic3—32no—
280C22×Dic3—32no—
281C22×Dic3—32no—
282C22×Dic3—32no—
283C22×Dic3—38no—
284C22×Dic3—38no—
285C22×Dic3—38no—
286C22×Dic3—62no—
287C22×Dic3—62no—
288C22×Dic3—68no—
289C22×Dic3—124no—
290C22×Dic3—124no—
291C22×Dic3—124no—
292C22×Dic3—128no—
293C22×Dic3C22×D311yescharacteristic
294C22×Dic3C22×D312yes—
295C22×Dic3C22×D311yescharacteristic
296C22×Dic3C22×D311yescharacteristic
297C2×D12—24no—
298C2×D12C22×D314yes—
299C2×C4×D3—24no—
300C2×C4×D3—38no—
301C2×C4×D3—124no—
302C2×C4×D3C22×D314yes—
303C3×C4⋊C4—34no—
304C3×C4⋊C4—34no—
305C3×C22⋊C4—34no—
306C3×C22⋊C4—38no—
307C3×C22⋊C4—34no—
308C3×C42—34no—
309#217—38no—
310#217—38no—
311#217—38no—
312#217C22×D314yes—
313(C2×D3)⋊C4—38no—
314(C2×D3)⋊C4—38no—
315(C2×D3)⋊C4—38no—
316(C2×D3)⋊C4C22×D318yes—
317(C2×D3)⋊C4C22×D314yes—
318C4⋊Dic3—34no—
319C4⋊Dic3—34no—
320C4⋊Dic3—38no—
321C4⋊Dic3—38no—
322C4⋊Dic3—34no—
323C4⋊Dic3—34no—
324C4⋊Dic3—38no—
325C4⋊Dic3—64no—
326C4⋊Dic3—64no—
327C4⋊Dic3—68no—
328C4⋊Dic3C22×D314yes—
329Dic3⋊C4—38no—
330Dic3⋊C4—38no—
331Dic3⋊C4—38no—
332Dic3⋊C4C22×D314yes—
333C4×Dic3—38no—
334C4×Dic3—38no—
335C4×Dic3C22×D314yes—
336C22×C32—28no—
337C22×C32—22no—
338C22×C32—22no—
339C22×C32C2×#4114yes—
340C22×C32C2×#4112yes—
341C22×C32C2×#4112yes—
342C22×C32H(5,𝔽2)12yes—
343C22×C32C2511yescharacteristic
344C2×C3×D3—22no—
345C2×C3×D3—24no—
346C2×C3×D3—22no—
347C2×C3×D3—24no—
348C2×C3×D3—24no—
349C2×C3×D3—22no—
350C2×C3×D3—44no—
351C2×C3×D3—48no—
352C32×C4—22no—
353C32×C4C2×#4114yes—
354C3⋊Dic3—24no—
355C3⋊Dic3—24no—
356C3×Dic3—22no—
357C3×Dic3—22no—
358C3×Dic3—24no—
359C3×Dic3—22no—
360C22×D4—31no—
361C22×D4—32no—
362C22×D4—31no—
363C22×D4—92no—
364C23×C4—31no—
365C23×C4—92no—
366C23×C4—92no—
367C23×C4D3211yescharacteristic
368#126—916no—
369#125—98no—
370#123—916no—
371#121—38no—
372#121—98no—
373#121—916no—
374C4×D4—38no—
375C4×D4—98no—
376C4×D4—916no—
377#117—98no—
378C2×C4⋊C4—31no—
379C2×C4⋊C4—31no—
380C2×C4⋊C4—92no—
381C2×C4⋊C4—92no—
382C2×C4⋊C4—91no—
383C2×C4⋊C4—91no—
384C2×C4⋊C4—92no—
385C2×C4⋊C4—98no—
386C2×C22⋊C4—31no—
387C2×C22⋊C4—31no—
388C2×C22⋊C4—32no—
389C2×C22⋊C4—92no—
390C2×C22⋊C4—92no—
391C2×C22⋊C4—92no—
392C2×C42—31no—
393C2×C42—92no—
394C23×C3—24no—
395C23×C3—24no—
396C23×C3—22no—
397C23×C3—22no—
398C23×C3—22no—
399C23×C3—22no—
400C23×C3—22no—
401C23×C3—21no—
402C23×C3—24no—
403C23×C3—34no—
404C23×C3—32no—
405C23×C3—64no—
406C23×C3—62no—
407C23×C3—62no—
408C23×C3—64no—
409C23×C3—64no—
410C23×C3—62no—
411C23×C3#23514yes—
412C23×C3#23714yes—
413C23×C3C23×D312yes—
414C23×C3C23×D312yes—
415C23×C3C23×D311yescharacteristic
416C23×C3C23×D311yescharacteristic
417C22×D3—22no—
418C22×D3—22no—
419C22×D3—24no—
420C22×D3—24no—
421C22×D3—24no—
422C22×D3—22no—
423C22×D3C23×D314yes—
424C22×D3C23×D312yes—
425C3×D4—616no—
426C3×D4—68no—
427C3×D4—68no—
428C2×C3×C4—24no—
429C2×C3×C4—216no—
430C2×C3×C4—22no—
431C2×C3×C4—22no—
432C2×C3×C4—28no—
433C2×C3×C4—28no—
434C2×C3×C4—22no—
435C2×C3×C4—22no—
436C2×C3×C4—24no—
437C2×C3×C4—32no—
438C2×C3×C4—34no—
439C2×C3×C4—32no—
440C2×C3×C4—32no—
441C2×C3×C4—64no—
442C2×C3×C4—62no—
443C2×C3×C4—62no—
444C2×C3×C4—62no—
445C2×C3×C4—68no—
446C2×C3×C4#23714yes—
447C2×C3×C4#23714yes—
448C2×C3×C4C23×D312yes—
449C2×C3×C4C23×D312yes—
450C2×C3×C4C23×D312yes—
451C2×C3×C4C23×D312yes—
452#67—28no—
453#67—216no—
454#67—128no—
455#67—128no—
456C2×Dic3—22no—
457C2×Dic3—22no—
458C2×Dic3—24no—
459C2×Dic3—22no—
460C2×Dic3—34no—
461C2×Dic3—34no—
462C2×Dic3—34no—
463C2×Dic3—34no—
464C2×Dic3—64no—
465C2×Dic3—64no—
466C2×Dic3—64no—
467C2×Dic3—64no—
468C2×Dic3—64no—
469C2×Dic3—64no—
470C2×Dic3—124no—
471C2×Dic3—124no—
472C2×Dic3—128no—
473C2×Dic3—128no—
474C2×Dic3—128no—
475C2×Dic3—1216no—
476C2×Dic3C23×D312yes—
477C2×Dic3C23×D314yes—
478C2×Dic3C23×D312yes—
479C2×Dic3C23×D312yes—
480D12—28no—
481C4×D3—28no—
482C4×D3—128no—
483C2×C32—24no—
484C2×C32#55314yescomplemented
485C2×C32C22×#4111yescharacteristic
486C2×C32C22×#4111yescharacteristic
487C2×C32C2×H(5,𝔽2)11yescharacteristic
488C3×D3—44no—
489C3×D3—42no—
490C24—31no—
491C24—32no—
492C24C2×D3211yescharacteristic
493C2×D4—34no—
494C2×D4—38no—
495C2×D4—34no—
496C2×D4—64no—
497C2×D4—68no—
498C2×D4—64no—
499C2×D4—98no—
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—98no—
512C22×C4—364no—
513C22×C4—364no—
514C22×C4C2×D3214yes—
515C22×C4C2×D3211yescharacteristic
516C22×C4C2×D3211yescharacteristic
517C4⋊C4—34no—
518C4⋊C4—34no—
519C4⋊C4—98no—
520C4⋊C4—98no—
521C4⋊C4—94no—
522C4⋊C4—94no—
523C4⋊C4—98no—
524C22⋊C4—34no—
525C22⋊C4—34no—
526C22⋊C4—38no—
527C22⋊C4—98no—
528C22⋊C4—98no—
529C22⋊C4—98no—
530C42—34no—
531C42—98no—
532C22×C3—24no—
533C22×C3—24no—
534C22×C3—216no—
535C22×C3—22no—
536C22×C3—22no—
537C22×C3—22no—
538C22×C3—22no—
539C22×C3—28no—
540C22×C3—28no—
541C22×C3—24no—
542C22×C3—22no—
543C22×C3—22no—
544C22×C3—22no—
545C22×C3—21no—
546C22×C3—64no—
547C22×C3—62no—
548C22×C3—62no—
549C22×C3—64no—
550C22×C3—64no—
551C22×C3—62no—
552C22×C3—128no—
553C22×C3—124no—
554C22×C3C2×#23514yes—
555C22×C3C2×#23512yes—
556C22×C3C2×#23714yes—
557C22×C3C2×#23712yes—
558C22×C3C2×#23712yes—
559C22×C3C2×#23712yes—
560C22×C3#100912yes—
561C22×C3#100912yes—
562C22×C3C24×D311yescharacteristic
563C22×C3C24×D311yescharacteristic
564C2×D3—22no—
565C2×D3—22no—
566C2×D3—24no—
567C2×D3—24no—
568C2×D3—24no—
569C2×D3—22no—
570C2×D3—44no—
571C2×D3—48no—
572C3×C4—24no—
573C3×C4—22no—
574C3×C4—22no—
575C3×C4—24no—
576C3×C4—64no—
577C3×C4—62no—
578C3×C4—62no—
579C3×C4—62no—
580C3×C4C2×#23714yes—
581C3×C4C2×#23714yes—
582Dic3—22no—
583Dic3—22no—
584Dic3—24no—
585Dic3—22no—
586Dic3—64no—
587Dic3—64no—
588Dic3—64no—
589Dic3—64no—
590Dic3—124no—
591Dic3—124no—
592C32C2×#55311yescharacteristic, complemented, Sylow
593C23—22no—
594C23—22no—
595C23—32no—
596C23—34no—
597C23—62no—
598C23—64no—
599C23—64no—
600C23—62no—
601C23—62no—
602C23—64no—
603C23#379514yes—
604C23C22×D3212yes—
605C23C22×D3211yescharacteristic
606D4—68no—
607D4—616no—
608D4—68no—
609D4—368no—
610C2×C4—22no—
611C2×C4—28no—
612C2×C4—32no—
613C2×C4—32no—
614C2×C4—32no—
615C2×C4—34no—
616C2×C4—62no—
617C2×C4—64no—
618C2×C4—62no—
619C2×C4—62no—
620C2×C4—68no—
621C2×C4—94no—
622C2×C4—94no—
623C2×C4—184no—
624C2×C4—184no—
625C2×C4—368no—
626C2×C4—368no—
627C2×C4#380514yes—
628C2×C4C22×D3212yes—
629C2×C4C22×D3212yes—
630C2×C3—28no—
631C2×C3—24no—
632C2×C3—24no—
633C2×C3—21no—
634C2×C3—21no—
635C2×C3—21no—
636C2×C3—24no—
637C2×C3—122no—
638C2×C3—124no—
639C2×C3#556514yescomplemented
640C2×C3#561814yescomplemented
641C2×C3C22×#23511yescharacteristic
642C2×C3C22×#23711yescharacteristic
643C2×C3C22×#23711yescharacteristic
644C2×C3C22×#23711yescharacteristic
645C2×C3C2×#100911yescharacteristic
646C2×C3C2×#100911yescharacteristic
647D3—44no—
648D3—42no—
649C22—22no—
650C22—22no—
651C22—28no—
652C22—62no—
653C22—64no—
654C22—64no—
655C22—62no—
656C22—62no—
657C22—64no—
658C22—128no—
659C22—124no—
660C22C2×#379514yes—
661C22C2×#379512yes—
662C22#6430812yes—
663C22C2×#380512yes—
664C22C23×D3211yescharacteristic
665C4—22no—
666C4—62no—
667C4—64no—
668C4—62no—
669C4—62no—
670C4—184no—
671C4—184no—
672C4C2×#380514yes—
673C3—21no—
674C3C2×#556511yescharacteristic, complemented
675C3C2×#561811yescharacteristic, complemented
676C2—24no—
677C2—124no—
678C2—122no—
679C2#1059499514yesdirect product factor
680C2C22×#379511yescharacteristic
681C2C2×#6430811yescharacteristic
682C2C22×#380511yescharacteristic
subgroupG/H
centerC23C22×D32
commutator, cosocleC22×C32C25
FrattiniC22C23×D32
FittingC23×C32×C4C22
socleC23×C32C24
hypercenterC23×C4D32
hypocenterC32C2×#553
LCSG ▷ C22×C32 ▷ C32
UCSC1 ◁ C23 ◁ C23×C4

Complements

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

NH ≅ G/Ntype
1. C22×C4⋊(C3⋊Dic3)C2semidirect
2. C2×C3×#930C2semidirect
3. C2×C3×C4×#67C2semidirect
4. C2×#63980C2semidirect
5. C2×#67⋊Dic3C2semidirect
6. C2×#63908C2semidirect
7. #10594995C2direct (N × H)
8. C2×Dic3×D12C2semidirect
9. C2×#63891C2semidirect
10. C2×#63869C2semidirect
11. C2×#63861C2semidirect
12. C2×#63841C2semidirect
26. C2×C4⋊(C3⋊Dic3)C22semidirect
28. C3×#930C22semidirect
29. C3×C4×#67C22semidirect
35. #63980C22semidirect
36. #67⋊Dic3C22semidirect
43. #63908C22semidirect
44. Dic3×D12C22semidirect
45. #63891C22semidirect
46. #63869C22semidirect
47. #63861C22semidirect
48. #63841C22semidirect
57. C2×#930D3semidirect
58. C2×C4×#67D3semidirect
153. #930C2×D3semidirect
154. C4×#67C2×D3semidirect
484. C2×C32#553semidirect
592. C32C2×#553semidirect
639. C2×C3#5565semidirect
640. C2×C3#5618semidirect
674. C3C2×#5565semidirect
675. C3C2×#5618semidirect
679. C2#10594995direct (N × H)

Maximal subgroups

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

subgroupindex
C22×C4⋊(C3⋊Dic3)2
C2×C3×#9302
C2×C3×C4×#672
C2×#639802
C2×#67⋊Dic32
C2×#639082
#105949952
C2×Dic3×D122
C2×#638912
C2×#638692
C2×#638612
C2×#638412
C2×#56183
C2×#55653