Finite Group Databasebeta

← C2×#10593982 #11903177

Subgroups — C2×#10593982 #11903177

Order 1152.

2717 conjugacy classes of subgroups.

The subgroup lattice has 704 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×C4×D12C211yesmaximal, characteristic, complemented
3C2×C3×#870C211yesmaximal, characteristic, complemented
4C2×#63916C211yesmaximal, characteristic, complemented
5C2×#63916C211yesmaximal, characteristic, complemented
6C2×#63910C212yesmaximal, complemented
7C2×#63904C212yesmaximal, complemented
8C2×#63900C211yesmaximal, characteristic, complemented
9C2×#63861C212yesmaximal, complemented
10C2×#63850C212yesmaximal, complemented
11C2×#63849C211yesmaximal, characteristic, complemented
12#10593982C2116yesmaximal, direct product factor
13C2×#5695—31nomaximal
14C2×#5558—31nomaximal
15C22×C4⋊(C3⋊D3)C2211yescharacteristic
16C22×C4×C3⋊D3C2211yescharacteristic
17C22×C4×C3⋊D3C2211yescharacteristic
18C22×C3×D12C2211yescharacteristic
19C22×C3×C4×D3C2212yes—
20C22×#626C2212yes—
21C22×#626C2212yes—
22C22×#624C2212yes—
23C2×C32×C42C2211yescharacteristic
24C2×#3752C2211yescharacteristic
25C2×#3752C2211yescharacteristic
26C2×C4⋊(C3⋊Dic3)C2211yescharacteristic
27C4×C4⋊(C3⋊D3)C2218yescomplemented
28C2×C3×(C2×D3)⋊C4C2212yes—
29C2×C3×C4⋊Dic3C2211yescharacteristic
30C2×C3×C4⋊Dic3C2211yescharacteristic
31C2×C3×C4⋊Dic3C2211yescharacteristic
32C2×C3×Dic3⋊C4C2212yes—
33C2×C3×Dic3⋊C4C2212yes—
34C3×C4×D12C2218yescomplemented
35C3×#870C2218yescomplemented
36C2×#3724C2212yes—
37C2×#3722C2212yes—
38C2×(C2×D3)⋊Dic3C2212yes—
39C2×(C2×D3)⋊Dic3C2212yes—
40C2×Dic32C2212yes—
41#63916C2218yescomplemented
42#63916C2218yescomplemented
43#63910C22116yescomplemented
44#63904C22116yescomplemented
45#63900C2218yescomplemented
46#63861C22116yescomplemented
47#63850C22116yescomplemented
48#63849C2218yescomplemented
49C2×C3×#125—31no—
50C2×C3×C4×D4—31no—
51C2×#938—31no—
52C2×#938—31no—
53C2×#929—32no—
54C2×C4×#67—32no—
55#5695—316no—
56#5558—316no—
57C2×#898—32no—
58C2×#895—31no—
59C2×#895—31no—
60C2×#895—32no—
61C2×#894—32no—
62C2×#893—32no—
63C2×#892—31no—
64C2×#892—31no—
65C2×D3×C4⋊C4—31no—
66C2×D3×C4⋊C4—31no—
67C2×#884—32no—
68C2×#879—32no—
69C2×C4×D12—31no—
70C2×C4×D12—31no—
71C2×C4×D12—61no—
72C2×C4×D12D311yescharacteristic, complemented
73C2×#870D311yescharacteristic, complemented
74C23×C3⋊D3C2311yescharacteristic
75C23×C3⋊D3C2311yescharacteristic
76C23×C3×D3C2312yes—
77C22×C32×C4C2311yescharacteristic
78C22×C32×C4C2311yescharacteristic
79C22×C32×C4C2311yescharacteristic
80C22×C3⋊Dic3C2311yescharacteristic
81C22×C3⋊Dic3C2311yescharacteristic
82C2×C4⋊(C3⋊D3)—24no—
83C2×C4⋊(C3⋊D3)C2314yes—
84C2×C4×C3⋊D3—24no—
85C2×C4×C3⋊D3—24no—
86C2×C4×C3⋊D3C2314yes—
87C2×C4×C3⋊D3C2314yes—
88C22×C3×Dic3C2312yes—
89C22×C3×Dic3C2312yes—
90C22×C3×Dic3C2312yes—
91C2×C3×D12—24no—
92C2×C3×D12C2314yes—
93C2×C3×C4×D3—44no—
94C2×C3×C4×D3C2318yes—
95C2×#626—28no—
96C2×#626—44no—
97C2×#626C2318yes—
98C2×#626C2318yes—
99C2×#624—44no—
100C2×#624C2318yes—
101C32×C42C2314yes—
102#3752C2314yes—
103#3752C2314yes—
104C4⋊(C3⋊Dic3)C2314yes—
105C3×(C2×D3)⋊C4C2318yes—
106C3×C4⋊Dic3C2314yes—
107C3×C4⋊Dic3C2314yes—
108C3×C4⋊Dic3C2314yes—
109C3×Dic3⋊C4C2318yes—
110C3×Dic3⋊C4C2318yes—
111#3724C2318yes—
112#3722C2318yes—
113(C2×D3)⋊Dic3C2318yes—
114(C2×D3)⋊Dic3C2318yes—
115Dic32C2318yes—
116C2×#553—91noSylow
117C22×C3×D4—31no—
118C23×C3×C4—32no—
119C22×#67—32no—
120C22×#67—32no—
121C22×D12—32no—
122C22×D12—31no—
123C22×D12—31no—
124C22×D12—32no—
125C22×D12—61no—
126C22×D12C2×D311yescharacteristic
127C22×C4×D3—31no—
128C22×C4×D3—31no—
129C22×C4×D3—31no—
130C22×C4×D3—31no—
131C22×C4×D3—32no—
132C22×C4×D3—32no—
133C22×C4×D3—61no—
134C22×C4×D3—61no—
135C22×C4×D3C2×D312yes—
136C3×#125—38no—
137C3×C4×D4—38no—
138C2×C3×C4⋊C4—32no—
139C2×C3×C4⋊C4—32no—
140C2×C3×C4⋊C4—31no—
141C2×C3×C4⋊C4—31no—
142C2×C3×C4⋊C4—31no—
143C2×C3×C22⋊C4—32no—
144C2×C3×C42—21no—
145C2×C3×C42C2×D311yescharacteristic
146C2×C3×C42C2×D311yescharacteristic
147C2×#217—32no—
148C2×#217—32no—
149#938—38no—
150#938—38no—
151#929—316no—
152C4×#67—316no—
153C2×(C2×D3)⋊C4—32no—
154C2×(C2×D3)⋊C4—32no—
155C2×(C2×D3)⋊C4—31no—
156C2×(C2×D3)⋊C4—31no—
157C2×(C2×D3)⋊C4—31no—
158C2×(C2×D3)⋊C4—31no—
159C2×(C2×D3)⋊C4—32no—
160C2×(C2×D3)⋊C4—32no—
161C2×(C2×D3)⋊C4—61no—
162C2×(C2×D3)⋊C4—61no—
163C2×(C2×D3)⋊C4C2×D312yes—
164C2×C4⋊Dic3—31no—
165C2×C4⋊Dic3—31no—
166C2×C4⋊Dic3—61no—
167C2×C4⋊Dic3C2×D311yescharacteristic
168C2×C4⋊Dic3C2×D311yescharacteristic
169C2×C4⋊Dic3C2×D311yescharacteristic
170C2×Dic3⋊C4—32no—
171C2×Dic3⋊C4—32no—
172C2×Dic3⋊C4C2×D312yes—
173C2×Dic3⋊C4C2×D312yes—
174C2×C4×Dic3—32no—
175C2×C4×Dic3—32no—
176#898—316no—
177#895—38no—
178#895—38no—
179#895—316no—
180#894—316no—
181#893—316no—
182#892—38no—
183#892—38no—
184D3×C4⋊C4—38no—
185D3×C4⋊C4—38no—
186#884—316no—
187#879—316no—
188C4×D12—38no—
189C4×D12—38no—
190C4×D12—68no—
191C4×D12C2×D318yescomplemented
192#870C2×D318yescomplemented
193C23×C32C2411yescharacteristic
194C22×C3⋊D3—22no—
195C22×C3⋊D3—22no—
196C22×C3⋊D3—22no—
197C22×C3⋊D3—22no—
198C22×C3⋊D3—22no—
199C22×C3⋊D3#4114yes—
200C22×C3⋊D3C2412yes—
201C22×C3⋊D3C2412yes—
202C22×C3×D3—24no—
203C22×C3×D3—24no—
204C22×C3×D3—24no—
205C22×C3×D3C2414yes—
206C2×C32×C4—22no—
207C2×C32×C4—22no—
208C2×C32×C4#4114yes—
209C2×C32×C4C2412yes—
210C2×C32×C4C2412yes—
211C2×C32×C4C2412yes—
212C2×C3⋊Dic3—22no—
213C2×C3⋊Dic3—22no—
214C2×C3⋊Dic3C2412yes—
215C2×C3⋊Dic3C2412yes—
216C4⋊(C3⋊D3)—28no—
217C4×C3⋊D3—28no—
218C4×C3⋊D3—28no—
219C2×C3×Dic3—24no—
220C2×C3×Dic3—24no—
221C2×C3×Dic3—24no—
222C2×C3×Dic3C2414yes—
223C2×C3×Dic3C2414yes—
224C2×C3×Dic3C2414yes—
225C3×D12—28no—
226C3×C4×D3—48no—
227#626—216no—
228#626—48no—
229#624—48no—
230#553—916no—
231C2×#126—92no—
232C2×#125—31no—
233C2×#123—92no—
234C2×#121—92no—
235C2×#121—91no—
236C2×#121—91no—
237C2×C4×D4—31no—
238C2×C4×D4—92no—
239C2×C4×D4—91no—
240C2×#117—91no—
241C22×C4⋊C4—91no—
242C24×C3—32no—
243C23×D3—31no—
244C23×D3—31no—
245C23×D3—31no—
246C23×D3—31no—
247C23×D3—61no—
248C23×D3—61no—
249C23×D3C22×D312yes—
250C2×C3×D4—34no—
251C2×C3×D4—64no—
252C22×C3×C4—21no—
253C22×C3×C4—21no—
254C22×C3×C4—21no—
255C22×C3×C4—32no—
256C22×C3×C4—32no—
257C22×C3×C4—32no—
258C22×C3×C4—38no—
259C22×C3×C4—124no—
260C22×C3×C4C22×D311yescharacteristic
261C22×C3×C4C22×D311yescharacteristic
262C22×C3×C4C22×D311yescharacteristic
263C22×C3×C4C22×D311yescharacteristic
264C22×C3×C4C22×D311yescharacteristic
265C22×C3×C4C22×D311yescharacteristic
266C2×#67—38no—
267C2×#67—38no—
268C2×#67—68no—
269C2×#67—124no—
270C22×Dic3—31no—
271C22×Dic3—31no—
272C22×Dic3—31no—
273C22×Dic3—31no—
274C22×Dic3—61no—
275C22×Dic3—61no—
276C22×Dic3C22×D312yes—
277C22×Dic3C22×D312yes—
278C22×Dic3C22×D312yes—
279C2×D12—24no—
280C2×D12—38no—
281C2×D12—34no—
282C2×D12—34no—
283C2×D12—38no—
284C2×D12—64no—
285C2×D12—64no—
286C2×D12—64no—
287C2×D12—68no—
288C2×D12—68no—
289C2×D12—124no—
290C2×D12C22×D314yes—
291C2×C4×D3—34no—
292C2×C4×D3—34no—
293C2×C4×D3—34no—
294C2×C4×D3—34no—
295C2×C4×D3—38no—
296C2×C4×D3—38no—
297C2×C4×D3—44no—
298C2×C4×D3—64no—
299C2×C4×D3—64no—
300C2×C4×D3—64no—
301C2×C4×D3—64no—
302C2×C4×D3—64no—
303C2×C4×D3—64no—
304C2×C4×D3—124no—
305C2×C4×D3—124no—
306C2×C4×D3—124no—
307C2×C4×D3—124no—
308C2×C4×D3C22×D318yes—
309C3×C4⋊C4—34no—
310C3×C4⋊C4—34no—
311C3×C4⋊C4—34no—
312C3×C4⋊C4—38no—
313C3×C4⋊C4—38no—
314C3×C22⋊C4—38no—
315C3×C42—24no—
316C3×C42C22×D314yes—
317C3×C42C22×D314yes—
318#217—38no—
319#217—38no—
320(C2×D3)⋊C4—38no—
321(C2×D3)⋊C4—38no—
322(C2×D3)⋊C4—34no—
323(C2×D3)⋊C4—34no—
324(C2×D3)⋊C4—34no—
325(C2×D3)⋊C4—34no—
326(C2×D3)⋊C4—38no—
327(C2×D3)⋊C4—38no—
328(C2×D3)⋊C4—64no—
329(C2×D3)⋊C4—64no—
330(C2×D3)⋊C4C22×D318yes—
331C4⋊Dic3—34no—
332C4⋊Dic3—34no—
333C4⋊Dic3—64no—
334C4⋊Dic3C22×D314yes—
335C4⋊Dic3C22×D314yes—
336C4⋊Dic3C22×D314yes—
337Dic3⋊C4—38no—
338Dic3⋊C4—38no—
339Dic3⋊C4C22×D318yes—
340Dic3⋊C4C22×D318yes—
341C4×Dic3—38no—
342C4×Dic3—38no—
343C22×C32C2×#4112yes—
344C22×C32C2×#4112yes—
345C22×C32H(5,𝔽2)12yes—
346C22×C32C2511yescharacteristic
347C2×C3⋊D3—22no—
348C2×C3⋊D3—28no—
349C2×C3⋊D3—22no—
350C2×C3⋊D3—22no—
351C2×C3⋊D3—22no—
352C2×C3⋊D3—22no—
353C2×C3⋊D3—44no—
354C2×C3⋊D3C2×#4114yes—
355C2×C3×D3—24no—
356C2×C3×D3—24no—
357C2×C3×D3—24no—
358C2×C3×D3—48no—
359C32×C4—22no—
360C32×C4—22no—
361C32×C4C2×#4114yes—
362C3⋊Dic3—22no—
363C3⋊Dic3—22no—
364C3×Dic3—24no—
365C3×Dic3—24no—
366C3×Dic3—24no—
367C22×D4—31no—
368C22×D4—92no—
369C22×D4—92no—
370C22×D4—91no—
371C23×C4—32no—
372C23×C4—92no—
373C23×C4—91no—
374C23×C4—91no—
375#126—916no—
376#125—38no—
377#123—916no—
378#121—916no—
379#121—98no—
380#121—98no—
381C4×D4—38no—
382C4×D4—916no—
383C4×D4—98no—
384#117—98no—
385C2×C4⋊C4—31no—
386C2×C4⋊C4—31no—
387C2×C4⋊C4—31no—
388C2×C4⋊C4—32no—
389C2×C4⋊C4—32no—
390C2×C4⋊C4—98no—
391C2×C4⋊C4—92no—
392C2×C4⋊C4—91no—
393C2×C22⋊C4—32no—
394C2×C22⋊C4—92no—
395C2×C22⋊C4—92no—
396C2×C22⋊C4—92no—
397C2×C22⋊C4—91no—
398C2×C22⋊C4—91no—
399C2×C42—92no—
400C2×C42D3211yescharacteristic
401C23×C3—21no—
402C23×C3—34no—
403C23×C3—64no—
404C23×C3—64no—
405C23×C3—64no—
406C23×C3C23×D311yescharacteristic
407C23×C3C23×D311yescharacteristic
408C22×D3—24no—
409C22×D3—24no—
410C22×D3—24no—
411C22×D3—34no—
412C22×D3—34no—
413C22×D3—32no—
414C22×D3—32no—
415C22×D3—32no—
416C22×D3—32no—
417C22×D3—64no—
418C22×D3—62no—
419C22×D3—62no—
420C22×D3—62no—
421C22×D3—62no—
422C22×D3—62no—
423C22×D3—62no—
424C22×D3—64no—
425C22×D3—62no—
426C22×D3—62no—
427C22×D3—62no—
428C22×D3—62no—
429C22×D3—62no—
430C22×D3—62no—
431C22×D3—122no—
432C22×D3—122no—
433C22×D3—122no—
434C22×D3—122no—
435C22×D3C23×D314yes—
436C3×D4—68no—
437C2×C3×C4—24no—
438C2×C3×C4—22no—
439C2×C3×C4—22no—
440C2×C3×C4—22no—
441C2×C3×C4—22no—
442C2×C3×C4—22no—
443C2×C3×C4—22no—
444C2×C3×C4—22no—
445C2×C3×C4—24no—
446C2×C3×C4—34no—
447C2×C3×C4—34no—
448C2×C3×C4—34no—
449C2×C3×C4—42no—
450C2×C3×C4—64no—
451C2×C3×C4—64no—
452C2×C3×C4—64no—
453C2×C3×C4—128no—
454C2×C3×C4#23514yes—
455C2×C3×C4#23914yes—
456C2×C3×C4C23×D312yes—
457C2×C3×C4C23×D312yes—
458C2×C3×C4C23×D312yes—
459C2×C3×C4C23×D312yes—
460C2×C3×C4C23×D312yes—
461C2×C3×C4C23×D312yes—
462#67—616no—
463#67—128no—
464C2×Dic3—24no—
465C2×Dic3—24no—
466C2×Dic3—24no—
467C2×Dic3—32no—
468C2×Dic3—32no—
469C2×Dic3—32no—
470C2×Dic3—32no—
471C2×Dic3—62no—
472C2×Dic3—62no—
473C2×Dic3—62no—
474C2×Dic3—62no—
475C2×Dic3—62no—
476C2×Dic3—62no—
477C2×Dic3—122no—
478C2×Dic3—122no—
479C2×Dic3C23×D314yes—
480C2×Dic3C23×D314yes—
481C2×Dic3C23×D314yes—
482D12—28no—
483D12—68no—
484D12—68no—
485D12—616no—
486D12—616no—
487D12—128no—
488C4×D3—48no—
489C4×D3—68no—
490C4×D3—68no—
491C4×D3—68no—
492C4×D3—68no—
493C4×D3—128no—
494C4×D3—128no—
495C4×D3—128no—
496C4×D3—128no—
497C2×C32#55314yescomplemented
498C2×C32C22×#4111yescharacteristic
499C2×C32C22×#4111yescharacteristic
500C2×C32C2×H(5,𝔽2)11yescharacteristic
501C3⋊D3—24no—
502C3⋊D3—42no—
503C3×D3—44no—
504C24—32no—
505C24—91no—
506C24—91no—
507C2×D4—34no—
508C2×D4—64no—
509C2×D4—98no—
510C2×D4—98no—
511C2×D4—94no—
512C2×D4—184no—
513C2×D4—188no—
514C2×D4—364no—
515C22×C4—32no—
516C22×C4—32no—
517C22×C4—32no—
518C22×C4—38no—
519C22×C4—98no—
520C22×C4—91no—
521C22×C4—91no—
522C22×C4—94no—
523C22×C4—94no—
524C22×C4—124no—
525C22×C4—184no—
526C22×C4—184no—
527C22×C4—364no—
528C22×C4C2×D3211yescharacteristic
529C22×C4C2×D3211yescharacteristic
530C22×C4C2×D3211yescharacteristic
531C4⋊C4—34no—
532C4⋊C4—34no—
533C4⋊C4—34no—
534C4⋊C4—38no—
535C4⋊C4—38no—
536C4⋊C4—98no—
537C4⋊C4—94no—
538C22⋊C4—38no—
539C22⋊C4—98no—
540C22⋊C4—98no—
541C22⋊C4—98no—
542C22⋊C4—94no—
543C22⋊C4—94no—
544C42—98no—
545C42C2×D3214yes—
546C22×C3—22no—
547C22×C3—22no—
548C22×C3—22no—
549C22×C3—21no—
550C22×C3—64no—
551C22×C3—64no—
552C22×C3—64no—
553C22×C3—128no—
554C22×C3C2×#23512yes—
555C22×C3#100412yes—
556C22×C3C2×#23912yes—
557C22×C3D3×#4112yes—
558C22×C3D3×#4112yes—
559C22×C3#100912yes—
560C22×C3C24×D311yescharacteristic
561C22×C3C24×D311yescharacteristic
562C2×D3—24no—
563C2×D3—24no—
564C2×D3—24no—
565C2×D3—34no—
566C2×D3—34no—
567C2×D3—48no—
568C2×D3—64no—
569C2×D3—68no—
570C2×D3—62no—
571C2×D3—62no—
572C2×D3—62no—
573C2×D3—62no—
574C2×D3—68no—
575C2×D3—64no—
576C2×D3—62no—
577C2×D3—62no—
578C2×D3—62no—
579C2×D3—62no—
580C2×D3—62no—
581C2×D3—62no—
582C2×D3—122no—
583C2×D3—122no—
584C2×D3—122no—
585C2×D3—128no—
586C2×D3—122no—
587C2×D3—128no—
588C2×D3—124no—
589C2×D3—124no—
590C3×C4—24no—
591C3×C4—22no—
592C3×C4—22no—
593C3×C4—22no—
594C3×C4—22no—
595C3×C4—24no—
596C3×C4—42no—
597C3×C4—64no—
598C3×C4—64no—
599C3×C4—64no—
600C3×C4C2×#23514yes—
601C3×C4C2×#23914yes—
602Dic3—24no—
603Dic3—24no—
604Dic3—24no—
605Dic3—62no—
606Dic3—62no—
607Dic3—62no—
608Dic3—62no—
609Dic3—122no—
610Dic3—122no—
611C32C2×#55311yescharacteristic, complemented, Sylow
612C23—34no—
613C23—64no—
614C23—64no—
615C23—64no—
616C23—94no—
617C23—92no—
618C23—92no—
619C23—182no—
620C23—182no—
621C23—182no—
622C23—182no—
623C23—182no—
624C23C22×D3211yescharacteristic
625D4—68no—
626D4—188no—
627D4—1816no—
628D4—368no—
629C2×C4—22no—
630C2×C4—22no—
631C2×C4—34no—
632C2×C4—34no—
633C2×C4—34no—
634C2×C4—64no—
635C2×C4—64no—
636C2×C4—64no—
637C2×C4—92no—
638C2×C4—92no—
639C2×C4—128no—
640C2×C4—182no—
641C2×C4—182no—
642C2×C4—188no—
643C2×C4—188no—
644C2×C4—368no—
645C2×C4#379914yes—
646C2×C4C22×D3212yes—
647C2×C4C22×D3212yes—
648C2×C4C22×D3212yes—
649C2×C3—21no—
650C2×C3—21no—
651C2×C3—21no—
652C2×C3—24no—
653C2×C3—124no—
654C2×C3#555814yescomplemented
655C2×C3#569514yescomplemented
656C2×C3C22×#23511yescharacteristic
657C2×C3C2×#100411yescharacteristic
658C2×C3C22×#23911yescharacteristic
659C2×C3C2×D3×#4111yescharacteristic
660C2×C3C2×D3×#4111yescharacteristic
661C2×C3C2×#100911yescharacteristic
662D3—44no—
663D3—64no—
664D3—64no—
665D3—124no—
666D3—124no—
667D3—122no—
668D3—122no—
669C22—64no—
670C22—64no—
671C22—64no—
672C22—94no—
673C22—128no—
674C22—182no—
675C22—182no—
676C22—188no—
677C22—182no—
678C22—182no—
679C22—182no—
680C22—364no—
681C22C2×#379912yes—
682C22#6430612yes—
683C22#6430712yes—
684C22C23×D3211yescharacteristic
685C4—22no—
686C4—22no—
687C4—64no—
688C4—64no—
689C4—64no—
690C4—182no—
691C4—182no—
692C4C2×#379914yes—
693C3—21no—
694C3C2×#555811yescharacteristic, complemented
695C3C2×#569511yescharacteristic, complemented
696C2—124no—
697C2—184no—
698C2—362no—
699C2#1059398214yesdirect product factor
700C2C22×#379911yescharacteristic
701C2C2×#6430611yescharacteristic
702C2C2×#6430711yescharacteristic
subgroupG/H
centerC23C22×D32
commutator, cosocleC22×C32C25
FrattiniC22C23×D32
FittingC2×C32×C42C22
socleC23×C32C24
hypercenterC2×C42D32
hypocenterC32C2×#553
LCSG ▷ C22×C32 ▷ C32
UCSC1 ◁ C23 ◁ 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×C4×D12C2semidirect
3. C2×C3×#870C2semidirect
4. C2×#63916C2semidirect
5. C2×#63916C2semidirect
6. C2×#63910C2semidirect
7. C2×#63904C2semidirect
8. C2×#63900C2semidirect
9. C2×#63861C2semidirect
10. C2×#63850C2semidirect
11. C2×#63849C2semidirect
12. #10593982C2direct (N × H)
27. C4×C4⋊(C3⋊D3)C22semidirect
34. C3×C4×D12C22semidirect
35. C3×#870C22semidirect
41. #63916C22semidirect
42. #63916C22semidirect
43. #63910C22semidirect
44. #63904C22semidirect
45. #63900C22semidirect
46. #63861C22semidirect
47. #63850C22semidirect
48. #63849C22semidirect
72. C2×C4×D12D3semidirect
73. C2×#870D3semidirect
191. C4×D12C2×D3semidirect
192. #870C2×D3semidirect
497. C2×C32#553semidirect
611. C32C2×#553semidirect
654. C2×C3#5558semidirect
655. C2×C3#5695semidirect
694. C3C2×#5558semidirect
695. C3C2×#5695semidirect
699. C2#10593982direct (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×C4×D122
C2×C3×#8702
C2×#639162
C2×#639102
C2×#639042
C2×#639002
C2×#638612
C2×#638502
C2×#638492
#105939822
C2×#56953
C2×#55583