Finite Group Databasebeta

← C2×#10593870 #11900646

Subgroups — C2×#10593870 #11900646

Order 1152.

2677 conjugacy classes of subgroups.

The subgroup lattice has 652 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C4×C4⋊(C3⋊D3)C211yesmaximal, characteristic, complemented
2C2×C3×C42×D3C211yesmaximal, characteristic, complemented
3C2×C3×C4×Dic6C211yesmaximal, characteristic, complemented
4C2×#63909C211yesmaximal, characteristic
5C2×C4×#626C212yesmaximal, complemented
6C2×#63874C212yesmaximal, complemented
7C2×#63869C211yesmaximal, characteristic, complemented
8C2×#63868C212yesmaximal, complemented
9C2×#63864C211yesmaximal, characteristic, complemented
10C2×#63856C211yesmaximal, characteristic, complemented
11C2×#63850C212yesmaximal, complemented
12#10593870C2116yesmaximal, direct product factor
13C2×#5580—31nomaximal
14C2×#5479—31nomaximal
15C22×C4⋊(C3⋊D3)C2211yescharacteristic
16C22×C4×C3⋊D3C2212yes—
17C22×C3×C4×D3C2211yescharacteristic
18C22×C3×C4×D3C2211yescharacteristic
19C22×C3×C4×D3C2211yescharacteristic
20C22×C3×Dic6C2211yescharacteristic
21C22×#626C2212yes—
22C2×C32×C42C2211yescharacteristic
23C2×#3752C2212yes—
24C2×C4⋊(C3⋊Dic3)C2211yescharacteristic
25C4×C4⋊(C3⋊D3)C2218yescomplemented
26C2×C3×C4⋊Dic3C2211yescharacteristic
27C2×C3×Dic3⋊C4C2212yes—
28C2×C3×C4×Dic3C2211yescharacteristic
29C2×C3×C4×Dic3C2211yescharacteristic
30C2×C3×C4×Dic3C2211yescharacteristic
31C2×C3×C4×Dic3C2212yes—
32C3×C42×D3C2218yescomplemented
33C3×C4×Dic6C2218yescomplemented
34C2×#3724C2212yes—
35C2×#3724C2212yes—
36C2×Dic3⋊Dic3C2212yes—
37C2×#3722C2212yes—
38C2×#3722C2212yes—
39C2×#3722C2212yes—
40C2×(C2×D3)⋊Dic3C2212yes—
41#63909C2218yes—
42C4×#626C22116yescomplemented
43#63874C22116yescomplemented
44#63869C2218yescomplemented
45#63868C22116yescomplemented
46#63864C2218yescomplemented
47#63856C2218yescomplemented
48#63850C22116yescomplemented
49C2×C3×C4×Q8—31no—
50C22×C3×C42—31no—
51C2×#947—31no—
52C2×#946—31no—
53C2×#930—31no—
54C2×#929—32no—
55C2×C4×#67—32no—
56C2×#924—31no—
57#5580—316no—
58C2×#898—32no—
59C2×#895—31no—
60C2×#894—32no—
61C2×#890—31no—
62#5479—316no—
63C2×#876—32no—
64C2×#875—31no—
65C2×C4×D12—32no—
66C2×C4×D12—31no—
67C2×C4×D12—31no—
68C2×C4×D12—61no—
69C2×#872—32no—
70C2×#872—32no—
71C2×C42×D3D311yescharacteristic, complemented
72C2×#870—31no—
73C2×C4×Dic6D311yescharacteristic, complemented
74C23×C3⋊D3C2312yes—
75C23×C3×D3C2311yescharacteristic
76C22×C32×C4C2311yescharacteristic
77C22×C32×C4C2311yescharacteristic
78C22×C32×C4C2311yescharacteristic
79C22×C3⋊Dic3C2312yes—
80C2×C4⋊(C3⋊D3)—24no—
81C2×C4⋊(C3⋊D3)C2314yes—
82C2×C4×C3⋊D3—28no—
83C2×C4×C3⋊D3C2318yes—
84C22×C3×Dic3C2311yescharacteristic
85C22×C3×Dic3C2311yescharacteristic
86C22×C3×Dic3C2311yescharacteristic
87C22×C3×Dic3C2312yes—
88C22×C3×Dic3C2312yes—
89C2×C3×C4×D3—24no—
90C2×C3×C4×D3—24no—
91C2×C3×C4×D3—24no—
92C2×C3×C4×D3C2314yes—
93C2×C3×C4×D3C2314yes—
94C2×C3×C4×D3C2314yes—
95C2×C3×Dic6—24no—
96C2×C3×Dic6C2314yes—
97C2×#626—28no—
98C2×#626C2318yes—
99C32×C42C2314yes—
100#3752C2318yes—
101C4⋊(C3⋊Dic3)C2314yes—
102C3×C4⋊Dic3C2314yes—
103C3×Dic3⋊C4C2318yes—
104C3×C4×Dic3C2314yes—
105C3×C4×Dic3C2314yes—
106C3×C4×Dic3C2314yes—
107C3×C4×Dic3C2318yes—
108#3724C2318yes—
109#3724C2318yes—
110Dic3⋊Dic3C2318yes—
111#3722C2318yes—
112#3722C2318yes—
113#3722C2318yes—
114(C2×D3)⋊Dic3C2318yes—
115C2×#529—91noSylow
116C22×C3×Q8—31no—
117C23×C3×C4—31no—
118C23×C3×C4—31no—
119C23×C3×C4—31no—
120C22×#67—32no—
121C22×D12—32no—
122C22×D12—31no—
123C22×D12—31no—
124C22×D12—61no—
125C22×C4×D3—32no—
126C22×C4×D3—32no—
127C22×C4×D3—62no—
128C22×C4×D3C2×D311yescharacteristic
129C22×C4×D3C2×D311yescharacteristic
130C22×C4×D3C2×D311yescharacteristic
131C22×Dic6C2×D311yescharacteristic
132C3×C4×Q8—38no—
133C2×C3×C4⋊C4—32no—
134C2×C3×C4⋊C4—31no—
135C2×C3×C42—21no—
136C2×C3×C42—31no—
137C2×C3×C42—31no—
138C2×C3×C42—32no—
139C2×C3×C42—31no—
140C2×C3×C42—38no—
141C2×C3×C42C2×D311yescharacteristic
142C2×C3×C42C2×D311yescharacteristic
143C2×#217—32no—
144#947—38no—
145#946—38no—
146#930—38no—
147#929—316no—
148C4×#67—316no—
149C2×(C2×D3)⋊C4—32no—
150C2×(C2×D3)⋊C4—32no—
151C2×(C2×D3)⋊C4—32no—
152C2×(C2×D3)⋊C4—32no—
153C2×(C2×D3)⋊C4—32no—
154C2×(C2×D3)⋊C4—32no—
155C2×(C2×D3)⋊C4—32no—
156C2×(C2×D3)⋊C4—32no—
157C2×(C2×D3)⋊C4—32no—
158C2×(C2×D3)⋊C4—62no—
159C2×C4⋊Dic3—31no—
160C2×C4⋊Dic3—31no—
161C2×C4⋊Dic3—32no—
162C2×C4⋊Dic3—61no—
163C2×C4⋊Dic3C2×D311yescharacteristic
164#924—38no—
165C2×Dic3⋊C4—32no—
166C2×Dic3⋊C4—32no—
167C2×Dic3⋊C4—32no—
168C2×Dic3⋊C4—32no—
169C2×Dic3⋊C4—32no—
170C2×Dic3⋊C4C2×D312yes—
171C2×C4×Dic3C2×D312yes—
172C2×C4×Dic3C2×D311yescharacteristic
173C2×C4×Dic3C2×D311yescharacteristic
174C2×C4×Dic3C2×D311yescharacteristic
175#898—316no—
176#895—38no—
177#894—316no—
178#890—38no—
179#876—316no—
180#875—38no—
181C4×D12—316no—
182C4×D12—38no—
183C4×D12—38no—
184C4×D12—68no—
185#872—316no—
186#872—316no—
187C42×D3C2×D318yescomplemented
188#870—38no—
189C4×Dic6C2×D318yescomplemented
190C23×C32C2411yescharacteristic
191C22×C3⋊D3—24no—
192C22×C3⋊D3—24no—
193C22×C3⋊D3—24no—
194C22×C3⋊D3C2414yes—
195C22×C3×D3—22no—
196C22×C3×D3—22no—
197C22×C3×D3#4114yes—
198C22×C3×D3C2412yes—
199C2×C32×C4—22no—
200C2×C32×C4#4114yes—
201C2×C32×C4#4114yes—
202C2×C32×C4C2412yes—
203C2×C32×C4C2412yes—
204C2×C32×C4C2412yes—
205C2×C3⋊Dic3—24no—
206C2×C3⋊Dic3C2414yes—
207C4⋊(C3⋊D3)—28no—
208C4×C3⋊D3—216no—
209C2×C3×Dic3—24no—
210C2×C3×Dic3—24no—
211C2×C3×Dic3—22no—
212C2×C3×Dic3—22no—
213C2×C3×Dic3—22no—
214C2×C3×Dic3C2414yes—
215C2×C3×Dic3C2412yes—
216C2×C3×Dic3C2412yes—
217C2×C3×Dic3C2412yes—
218C2×C3×Dic3C2414yes—
219C3×C4×D3—28no—
220C3×C4×D3—28no—
221C3×C4×D3—28no—
222C3×Dic6—28no—
223#626—216no—
224#529—916no—
225C2×#126—92no—
226C2×#125—91no—
227C2×#124—91no—
228C2×#123—92no—
229C2×C22⋊Q8—91no—
230C2×#121—91no—
231C2×C4×Q8—31no—
232C2×C4×D4—92no—
233C2×C4×D4—91no—
234C2×#117—92no—
235C22×C42—31no—
236C24×C3—31no—
237C23×D3—32no—
238C23×D3—32no—
239C23×D3—62no—
240C23×D3C22×D311yescharacteristic
241C2×C3×Q8—34no—
242C2×C3×Q8—64no—
243C22×C3×C4—21no—
244C22×C3×C4—21no—
245C22×C3×C4—21no—
246C22×C3×C4—31no—
247C22×C3×C4—31no—
248C22×C3×C4—31no—
249C22×C3×C4—32no—
250C22×C3×C4—32no—
251C22×C3×C4—34no—
252C22×C3×C4—34no—
253C22×C3×C4—34no—
254C22×C3×C4—64no—
255C22×C3×C4—64no—
256C22×C3×C4—64no—
257C22×C3×C4C22×D311yescharacteristic
258C22×C3×C4C22×D311yescharacteristic
259C22×C3×C4C22×D311yescharacteristic
260C22×C3×C4C22×D311yescharacteristic
261C22×C3×C4C22×D311yescharacteristic
262C22×C3×C4C22×D311yescharacteristic
263C2×#67—38no—
264C2×#67—68no—
265C22×Dic3—32no—
266C22×Dic3—32no—
267C22×Dic3—62no—
268C22×Dic3C22×D311yescharacteristic
269C22×Dic3C22×D311yescharacteristic
270C22×Dic3C22×D311yescharacteristic
271C22×Dic3C22×D312yes—
272C22×Dic3C22×D312yes—
273C2×D12—38no—
274C2×D12—34no—
275C2×D12—34no—
276C2×D12—64no—
277C2×D12—68no—
278C2×D12—68no—
279C2×D12—64no—
280C2×D12—64no—
281C2×C4×D3—24no—
282C2×C4×D3—24no—
283C2×C4×D3—24no—
284C2×C4×D3—38no—
285C2×C4×D3—38no—
286C2×C4×D3—68no—
287C2×C4×D3—68no—
288C2×C4×D3—68no—
289C2×C4×D3—128no—
290C2×C4×D3C22×D314yes—
291C2×C4×D3C22×D314yes—
292C2×C4×D3C22×D314yes—
293C2×Dic6—24no—
294C2×Dic6C22×D314yes—
295C3×C4⋊C4—34no—
296C3×C4⋊C4—38no—
297C3×C42—24no—
298C3×C42—34no—
299C3×C42—34no—
300C3×C42—38no—
301C3×C42—34no—
302C3×C42C22×D314yes—
303C3×C42C22×D314yes—
304#217—38no—
305(C2×D3)⋊C4—38no—
306(C2×D3)⋊C4—38no—
307(C2×D3)⋊C4—38no—
308(C2×D3)⋊C4—38no—
309(C2×D3)⋊C4—38no—
310(C2×D3)⋊C4—38no—
311(C2×D3)⋊C4—38no—
312(C2×D3)⋊C4—38no—
313(C2×D3)⋊C4—38no—
314(C2×D3)⋊C4—68no—
315C4⋊Dic3—34no—
316C4⋊Dic3—34no—
317C4⋊Dic3—38no—
318C4⋊Dic3—64no—
319C4⋊Dic3C22×D314yes—
320Dic3⋊C4—38no—
321Dic3⋊C4—38no—
322Dic3⋊C4—38no—
323Dic3⋊C4—38no—
324Dic3⋊C4—38no—
325Dic3⋊C4C22×D318yes—
326C4×Dic3C22×D318yes—
327C4×Dic3C22×D314yes—
328C4×Dic3C22×D314yes—
329C4×Dic3C22×D314yes—
330C22×C32C2×#4112yes—
331C22×C32C2×#4112yes—
332C22×C32C2×#4112yes—
333C22×C32C2511yescharacteristic
334C2×C3⋊D3—24no—
335C2×C3⋊D3—24no—
336C2×C3⋊D3—24no—
337C2×C3⋊D3—48no—
338C2×C3×D3—28no—
339C2×C3×D3—22no—
340C2×C3×D3—22no—
341C2×C3×D3C2×#4114yes—
342C32×C4—22no—
343C32×C4C2×#4114yes—
344C32×C4C2×#4114yes—
345C3⋊Dic3—24no—
346C3×Dic3—24no—
347C3×Dic3—24no—
348C3×Dic3—22no—
349C3×Dic3—22no—
350C3×Dic3—22no—
351C22×Q8—31no—
352C22×D4—92no—
353C22×D4—91no—
354C23×C4—31no—
355C23×C4—31no—
356C23×C4—31no—
357C23×C4—92no—
358#126—916no—
359#125—98no—
360#124—98no—
361#123—916no—
362C22⋊Q8—98no—
363#121—98no—
364C4×Q8—38no—
365C4×D4—916no—
366C4×D4—98no—
367#117—916no—
368C2×C4⋊C4—31no—
369C2×C4⋊C4—32no—
370C2×C4⋊C4—92no—
371C2×C4⋊C4—92no—
372C2×C4⋊C4—92no—
373C2×C4⋊C4—91no—
374C2×C22⋊C4—92no—
375C2×C22⋊C4—92no—
376C2×C22⋊C4—92no—
377C2×C22⋊C4—92no—
378C2×C22⋊C4—92no—
379C2×C42—31no—
380C2×C42—31no—
381C2×C42—31no—
382C2×C42—32no—
383C2×C42—38no—
384C2×C42D3211yescharacteristic
385C23×C3—21no—
386C23×C3—34no—
387C23×C3—32no—
388C23×C3—62no—
389C23×C3—62no—
390C23×C3C23×D311yescharacteristic
391C23×C3C23×D311yescharacteristic
392C22×D3—22no—
393C22×D3—22no—
394C22×D3—34no—
395C22×D3—34no—
396C22×D3—64no—
397C22×D3—68no—
398C22×D3—64no—
399C22×D3—64no—
400C22×D3—64no—
401C22×D3—64no—
402C22×D3—64no—
403C22×D3—64no—
404C22×D3—124no—
405C22×D3—124no—
406C22×D3#23514yes—
407C22×D3C23×D312yes—
408C3×Q8—68no—
409C2×C3×C4—22no—
410C2×C3×C4—22no—
411C2×C3×C4—22no—
412C2×C3×C4—22no—
413C2×C3×C4—22no—
414C2×C3×C4—24no—
415C2×C3×C4—24no—
416C2×C3×C4—32no—
417C2×C3×C4—32no—
418C2×C3×C4—32no—
419C2×C3×C4—34no—
420C2×C3×C4—34no—
421C2×C3×C4—42no—
422C2×C3×C4—68no—
423C2×C3×C4—64no—
424C2×C3×C4—62no—
425C2×C3×C4—64no—
426C2×C3×C4—62no—
427C2×C3×C4—62no—
428C2×C3×C4—68no—
429C2×C3×C4—68no—
430C2×C3×C4#23514yes—
431C2×C3×C4#23514yes—
432C2×C3×C4#23514yes—
433C2×C3×C4#23914yes—
434C2×C3×C4C23×D312yes—
435C2×C3×C4C23×D312yes—
436C2×C3×C4C23×D312yes—
437C2×C3×C4C23×D312yes—
438C2×C3×C4C23×D312yes—
439C2×C3×C4C23×D312yes—
440#67—616no—
441C2×Dic3—24no—
442C2×Dic3—22no—
443C2×Dic3—22no—
444C2×Dic3—22no—
445C2×Dic3—24no—
446C2×Dic3—34no—
447C2×Dic3—34no—
448C2×Dic3—64no—
449C2×Dic3—64no—
450C2×Dic3—64no—
451C2×Dic3—124no—
452C2×Dic3C23×D312yes—
453C2×Dic3C23×D312yes—
454C2×Dic3C23×D312yes—
455C2×Dic3C23×D314yes—
456C2×Dic3C23×D314yes—
457D12—616no—
458D12—616no—
459D12—68no—
460D12—68no—
461C4×D3—28no—
462C4×D3—28no—
463C4×D3—28no—
464C4×D3—616no—
465C4×D3—616no—
466C4×D3—1216no—
467Dic6—28no—
468C2×C32#52914yescomplemented
469C2×C32C22×#4111yescharacteristic
470C2×C32C22×#4111yescharacteristic
471C2×C32C22×#4111yescharacteristic
472C3⋊D3—44no—
473C3×D3—24no—
474C24—31no—
475C24—92no—
476C2×Q8—34no—
477C2×Q8—64no—
478C2×D4—98no—
479C2×D4—94no—
480C2×D4—188no—
481C2×D4—184no—
482C22×C4—31no—
483C22×C4—31no—
484C22×C4—31no—
485C22×C4—32no—
486C22×C4—32no—
487C22×C4—34no—
488C22×C4—34no—
489C22×C4—34no—
490C22×C4—64no—
491C22×C4—64no—
492C22×C4—64no—
493C22×C4—92no—
494C22×C4—98no—
495C22×C4—188no—
496C22×C4C2×D3211yescharacteristic
497C22×C4C2×D3211yescharacteristic
498C22×C4C2×D3211yescharacteristic
499C4⋊C4—34no—
500C4⋊C4—38no—
501C4⋊C4—98no—
502C4⋊C4—98no—
503C4⋊C4—98no—
504C4⋊C4—94no—
505C22⋊C4—98no—
506C22⋊C4—98no—
507C22⋊C4—98no—
508C22⋊C4—98no—
509C22⋊C4—98no—
510C42—34no—
511C42—34no—
512C42—34no—
513C42—38no—
514C42C2×D3214yes—
515C22×C3—22no—
516C22×C3—22no—
517C22×C3—22no—
518C22×C3—21no—
519C22×C3—34no—
520C22×C3—62no—
521C22×C3—62no—
522C22×C3—68no—
523C22×C3C2×#23512yes—
524C22×C3C2×#23512yes—
525C22×C3C2×#23512yes—
526C22×C3C2×#23512yes—
527C22×C3C2×#23912yes—
528C22×C3D3×#4112yes—
529C22×C3C24×D311yescharacteristic
530C22×C3C24×D311yescharacteristic
531C2×D3—22no—
532C2×D3—22no—
533C2×D3—28no—
534C2×D3—68no—
535C2×D3—64no—
536C2×D3—64no—
537C2×D3—64no—
538C2×D3—64no—
539C2×D3—64no—
540C2×D3—64no—
541C2×D3—124no—
542C2×D3—124no—
543C2×D3—1216no—
544C2×D3—128no—
545C2×D3—128no—
546C2×D3C2×#23514yes—
547C3×C4—22no—
548C3×C4—22no—
549C3×C4—24no—
550C3×C4—24no—
551C3×C4—42no—
552C3×C4—64no—
553C3×C4—62no—
554C3×C4—64no—
555C3×C4—62no—
556C3×C4—62no—
557C3×C4C2×#23514yes—
558C3×C4C2×#23514yes—
559C3×C4C2×#23514yes—
560C3×C4C2×#23914yes—
561Dic3—24no—
562Dic3—22no—
563Dic3—22no—
564Dic3—22no—
565Dic3—24no—
566Dic3—64no—
567Dic3—64no—
568Dic3—124no—
569C32C2×#52911yescharacteristic, complemented, Sylow
570C23—34no—
571C23—32no—
572C23—62no—
573C23—62no—
574C23—94no—
575C23—184no—
576C23—184no—
577C23—184no—
578C23C22×D3211yescharacteristic
579Q8—68no—
580D4—1816no—
581D4—188no—
582C2×C4—22no—
583C2×C4—32no—
584C2×C4—32no—
585C2×C4—32no—
586C2×C4—34no—
587C2×C4—34no—
588C2×C4—68no—
589C2×C4—62no—
590C2×C4—64no—
591C2×C4—62no—
592C2×C4—62no—
593C2×C4—64no—
594C2×C4—68no—
595C2×C4—68no—
596C2×C4—94no—
597C2×C4—184no—
598C2×C4—1816no—
599C2×C4#379814yes—
600C2×C4#379914yes—
601C2×C4C22×D3212yes—
602C2×C4C22×D3212yes—
603C2×C4C22×D3212yes—
604C2×C3—21no—
605C2×C3—21no—
606C2×C3—21no—
607C2×C3—24no—
608C2×C3—64no—
609C2×C3#547914yescomplemented
610C2×C3#558014yescomplemented
611C2×C3C22×#23511yescharacteristic
612C2×C3C22×#23511yescharacteristic
613C2×C3C22×#23511yescharacteristic
614C2×C3C22×#23511yescharacteristic
615C2×C3C22×#23911yescharacteristic
616C2×C3C2×D3×#4111yescharacteristic
617D3—24no—
618D3—128no—
619D3—124no—
620D3—124no—
621C22—34no—
622C22—62no—
623C22—62no—
624C22—68no—
625C22—184no—
626C22—184no—
627C22—184no—
628C22—368no—
629C22C2×#379812yes—
630C22C2×#379912yes—
631C22D3×#23512yes—
632C22C23×D3211yescharacteristic
633C4—22no—
634C4—62no—
635C4—64no—
636C4—62no—
637C4—62no—
638C4—64no—
639C4—184no—
640C4C2×#379814yes—
641C4C2×#379914yes—
642C3—21no—
643C3C2×#547911yescharacteristic, complemented
644C3C2×#558011yescharacteristic, complemented
645C2—64no—
646C2—364no—
647C2#1059387014yesdirect product factor
648C2C22×#379811yescharacteristic
649C2C22×#379911yescharacteristic
650C2C2×D3×#23511yescharacteristic
subgroupG/H
centerC22×C4C2×D32
commutator, cosocleC22×C32C25
FrattiniC22C23×D32
FittingC2×C32×C42C22
socleC23×C32C24
prime radicalC2×#63909C2
hypercenterC2×C42D32
hypocenterC32C2×#529
LCSG ▷ C22×C32 ▷ C32
UCSC1 ◁ C22×C4 ◁ C2×C42

Complements

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

NH ≅ G/Ntype
1. C2×C4×C4⋊(C3⋊D3)C2semidirect
2. C2×C3×C42×D3C2semidirect
3. C2×C3×C4×Dic6C2semidirect
5. C2×C4×#626C2semidirect
6. C2×#63874C2semidirect
7. C2×#63869C2semidirect
8. C2×#63868C2semidirect
9. C2×#63864C2semidirect
10. C2×#63856C2semidirect
11. C2×#63850C2semidirect
12. #10593870C2direct (N × H)
25. C4×C4⋊(C3⋊D3)C22semidirect
32. C3×C42×D3C22semidirect
33. C3×C4×Dic6C22semidirect
42. C4×#626C22semidirect
43. #63874C22semidirect
44. #63869C22semidirect
45. #63868C22semidirect
46. #63864C22semidirect
47. #63856C22semidirect
48. #63850C22semidirect
71. C2×C42×D3D3semidirect
73. C2×C4×Dic6D3semidirect
187. C42×D3C2×D3semidirect
189. C4×Dic6C2×D3semidirect
468. C2×C32#529semidirect
569. C32C2×#529semidirect
609. C2×C3#5479semidirect
610. C2×C3#5580semidirect
643. C3C2×#5479semidirect
644. C3C2×#5580semidirect
647. C2#10593870direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C4×C4⋊(C3⋊D3)2
C2×C3×C42×D32
C2×C3×C4×Dic62
C2×#639092
C2×C4×#6262
C2×#638742
C2×#638692
C2×#638682
C2×#638642
C2×#638562
C2×#638502
#105938702
C2×#55803
C2×#54793