Finite Group Databasebeta

← C2×#10595076 #11900453

Subgroups — C2×#10595076 #11900453

Order 1152.

4205 conjugacy classes of subgroups.

The subgroup lattice has 674 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#3828C211yesmaximal, characteristic, complemented
2C22×C4×D32C211yesmaximal, characteristic, complemented
3C2×C3×C4×#67C212yesmaximal, complemented
4C2×#63983C211yesmaximal, characteristic, complemented
5C2×#63975C211yesmaximal, characteristic, complemented
6C2×#63971C212yesmaximal, complemented
7#10595076C2116yesmaximal, direct product factor
8C2×#63923C211yesmaximal, characteristic, complemented
9C2×C4×#626C212yesmaximal, complemented
10C2×#63897C211yesmaximal, characteristic, complemented
11C2×#63896C212yesmaximal, complemented
12C2×#63874C211yesmaximal, characteristic, complemented
13C2×#5547—32nomaximal
14C23×D32C2211yescharacteristic
15C23×C32×C4C2211yescharacteristic, complemented
16C22×#638C2211yescharacteristic
17C22×#638C2211yescharacteristic, complemented
18C2×#3828—28no—
19C2×#3828C2218yescomplemented
20C22×C4⋊(C3⋊D3)C2211yescharacteristic
21C22×C4×C3⋊D3C2211yescharacteristic
22C22×C4×C3⋊D3C2211yescharacteristic, complemented
23C22×#634C2211yescharacteristic, complemented
24C22×C3×#67C2212yes—
25C22×C3×C4×D3C2212yes—
26C22×#626C2212yes—
27C22×#624C2211yescharacteristic
28C22×D3×Dic3C2212yes—
29C2×C4×D32—28no—
30C2×C4×D32C2218yescomplemented
31C2×C3×#217C2212yescomplemented
32C3×C4×#67C22116yescomplemented
33C2×C3×(C2×D3)⋊C4C2212yes—
34C2×C3×Dic3⋊C4C2212yescomplemented
35C2×C3×C4×Dic3C2212yescomplemented
36#63983C2218yescomplemented
37#63975C2218yescomplemented
38#63971C22116yescomplemented
39C2×#3724C2212yescomplemented
40C2×Dic3⋊Dic3C2212yescomplemented
41C2×#3722C2211yescharacteristic
42C2×#3722C2211yescharacteristic
43C2×#3722C2212yescomplemented
44C2×(C2×D3)⋊Dic3C2212yes—
45#63923C2218yescomplemented
46C4×#626C22116yescomplemented
47#63897C2218yescomplemented
48#63896C22116yescomplemented
49#63874C2218yescomplemented
50C22×#235—32no—
51C22×#235—61no—
52C23×C4×D3—32no—
53C2×C3×C4×D4—32no—
54C2×#939—32no—
55C2×#937—32no—
56C2×C4×#67—32no—
57C2×C4×#67D312yescomplemented
58#5547—332no—
59C2×#896—32no—
60C2×#894—32no—
61C2×#884—32no—
62C2×#883—32no—
63C2×#882—32no—
64C2×#878—32no—
65C2×C4×D12—32no—
66C2×#872—32no—
67C24×C32C2311yescharacteristic
68C23×C3⋊D3C2311yescharacteristic
69C23×C3⋊D3C2311yescharacteristic
70C23×C3×D3C2312yes—
71C22×D32—24no—
72C22×D32—28no—
73C22×D32C2314yes—
74C22×C32×C4—24no—
75C22×C32×C4C2311yescharacteristic
76C22×C32×C4C2311yescharacteristic
77C22×C32×C4C2314yescomplemented
78C2×#638—24no—
79C2×#638—24no—
80C2×#638C2314yes—
81C2×#638C2314yescomplemented
82C22×C3⋊Dic3C2311yescharacteristic
83C22×C3⋊Dic3C2311yescharacteristic
84#3828—232no—
85C2×C4⋊(C3⋊D3)—24no—
86C2×C4⋊(C3⋊D3)C2314yes—
87C2×C4×C3⋊D3—24no—
88C2×C4×C3⋊D3D418yescomplemented
89C2×C4×C3⋊D3C2314yes—
90C2×C4×C3⋊D3C2314yescomplemented
91C2×#634—24no—
92C2×#634C2314yescomplemented
93C2×C3×#67—28no—
94C2×C3×#67C2318yes—
95C22×C3×Dic3C2312yes—
96C22×C3×Dic3C2312yes—
97C22×C3×Dic3C2312yes—
98C2×C3×C4×D3—28no—
99C2×C3×C4×D3C2318yes—
100C2×#626—28no—
101C2×#626C2318yes—
102C2×#624—24no—
103C2×#624C2314yes—
104C2×D3×Dic3—28no—
105C2×D3×Dic3C2318yes—
106C4×D32—232no—
107C3×#217C2318yescomplemented
108C3×(C2×D3)⋊C4C2318yes—
109C3×Dic3⋊C4C2318yescomplemented
110C3×C4×Dic3C2318yescomplemented
111#3724C2318yescomplemented
112Dic3⋊Dic3C2318yescomplemented
113#3722C2314yes—
114#3722C2314yes—
115#3722C2318yescomplemented
116(C2×D3)⋊Dic3C2318yes—
117C2×#525—91noSylow
118C24×D3—32no—
119C22×C3×D4—32no—
120C23×C3×C4—21no—
121C23×C3×C4—32no—
122C23×C3×C4C2×D312yescomplemented
123C22×#67—32no—
124C22×#67—32no—
125C22×#67—32no—
126C22×#67—61no—
127C22×#67—61no—
128C22×#67C2×D312yes—
129C23×Dic3—32no—
130C2×#235—316no—
131C2×#235—68no—
132C2×#235—616no—
133C2×#235—616no—
134C22×D12—32no—
135C22×D12—32no—
136C22×D12—61no—
137C22×C4×D3—32no—
138C22×C4×D3—32no—
139C22×C4×D3—32no—
140C22×C4×D3—32no—
141C22×C4×D3—316no—
142C22×C4×D3—61no—
143C22×C4×D3—61no—
144C22×C4×D3—616no—
145C22×C4×D3C2×D312yes—
146C22×Dic6—32no—
147C22×Dic6—61no—
148C3×C4×D4—316no—
149C2×C3×C4⋊C4—32no—
150C2×C3×C22⋊C4—32no—
151C2×C3×C22⋊C4—32no—
152C2×C3×C42—32no—
153C2×#217—32no—
154C2×#217C2×D312yescomplemented
155#939—316no—
156#937—316no—
157C4×#67—316no—
158C4×#67C2×D3116yescomplemented
159C2×(C2×D3)⋊C4—32no—
160C2×(C2×D3)⋊C4—32no—
161C2×(C2×D3)⋊C4—32no—
162C2×(C2×D3)⋊C4—32no—
163C2×(C2×D3)⋊C4—32no—
164C2×(C2×D3)⋊C4C2×D312yes—
165C2×C4⋊Dic3—32no—
166C2×Dic3⋊C4—32no—
167C2×Dic3⋊C4—32no—
168C2×Dic3⋊C4—32no—
169C2×Dic3⋊C4C2×D312yescomplemented
170C2×C4×Dic3C2×D312yescomplemented
171#896—316no—
172#894—316no—
173#884—316no—
174#883—316no—
175#882—316no—
176#878—316no—
177C4×D12—316no—
178#872—316no—
179C23×C32—22no—
180C23×C32—24no—
181C23×C32C2412yes—
182C23×C32C2411yescharacteristic
183C22×C3⋊D3—22no—
184C22×C3⋊D3—24no—
185C22×C3⋊D3—24no—
186C22×C3⋊D3C2×D414yes—
187C22×C3⋊D3C2412yes—
188C22×C3⋊D3C2412yes—
189C22×C3×D3—24no—
190C22×C3×D3—24no—
191C22×C3×D3#4118yescomplemented
192C22×C3×D3C2414yes—
193C2×D32—232no—
194C2×D32—28no—
195C2×D32—216no—
196C2×C32×C4—22no—
197C2×C32×C4—28no—
198C2×C32×C4C2×D414yes—
199C2×C32×C4C2412yes—
200C2×C32×C4C2412yes—
201#638—28no—
202#638—28no—
203C2×C3⋊Dic3—22no—
204C2×C3⋊Dic3C2×D414yes—
205C2×C3⋊Dic3C2412yes—
206C2×C3⋊Dic3C2412yes—
207C4⋊(C3⋊D3)—28no—
208C4×C3⋊D3—28no—
209C4×C3⋊D3C2×D4116yescomplemented
210#634—28no—
211C3×#67—216no—
212C2×C3×Dic3—24no—
213C2×C3×Dic3—24no—
214C2×C3×Dic3—24no—
215C2×C3×Dic3C2414yes—
216C2×C3×Dic3C2414yes—
217C2×C3×Dic3C2414yes—
218C3×C4×D3—216no—
219#626—216no—
220#624—28no—
221D3×Dic3—216no—
222C22×#41—91no—
223C24×C4—91no—
224#525—916no—
225C2×#123—91no—
226C2×#123—91no—
227C2×C22⋊Q8—92no—
228C2×#121—92no—
229C2×#120—91no—
230C2×#120—91no—
231C2×C4×D4—32no—
232C2×C4×D4—92no—
233C2×#117—91no—
234C24×C3—21no—
235C24×C3—32no—
236C24×C3C22×D312yes—
237C23×D3—32no—
238C23×D3—32no—
239C23×D3—38no—
240C23×D3—61no—
241C23×D3—61no—
242C23×D3—68no—
243C23×D3—68no—
244C23×D3—68no—
245C23×D3C22×D312yes—
246C2×C3×D4—38no—
247C2×C3×D4—68no—
248C22×C3×C4—28no—
249C22×C3×C4—28no—
250C22×C3×C4—21no—
251C22×C3×C4—21no—
252C22×C3×C4—24no—
253C22×C3×C4—32no—
254C22×C3×C4—32no—
255C22×C3×C4—32no—
256C22×C3×C4—38no—
257C22×C3×C4—68no—
258C22×C3×C4C22×D312yes—
259C22×C3×C4C22×D312yes—
260C22×C3×C4C22×D318yescomplemented
261C2×#67—28no—
262C2×#67—38no—
263C2×#67—38no—
264C2×#67—38no—
265C2×#67—64no—
266C2×#67—64no—
267C2×#67—68no—
268C2×#67—68no—
269C2×#67—68no—
270C2×#67—68no—
271C2×#67—68no—
272C2×#67C22×D318yes—
273C22×Dic3—32no—
274C22×Dic3—32no—
275C22×Dic3—38no—
276C22×Dic3—61no—
277C22×Dic3—61no—
278C22×Dic3—68no—
279C22×Dic3C22×D312yes—
280C22×Dic3C22×D312yes—
281C22×Dic3C22×D312yes—
282#235—664no—
283#235—664no—
284C2×D12—38no—
285C2×D12—38no—
286C2×D12—64no—
287C2×D12—68no—
288C2×D12—68no—
289C2×D12—68no—
290C2×C4×D3—28no—
291C2×C4×D3—316no—
292C2×C4×D3—38no—
293C2×C4×D3—38no—
294C2×C4×D3—38no—
295C2×C4×D3—38no—
296C2×C4×D3—68no—
297C2×C4×D3—64no—
298C2×C4×D3—64no—
299C2×C4×D3—664no—
300C2×C4×D3—68no—
301C2×C4×D3—68no—
302C2×C4×D3—68no—
303C2×C4×D3—68no—
304C2×C4×D3C22×D318yes—
305C2×Dic6—38no—
306C2×Dic6—64no—
307C2×Dic6—68no—
308C2×Dic6—68no—
309C3×C4⋊C4—38no—
310C3×C22⋊C4—38no—
311C3×C22⋊C4—38no—
312C3×C42—38no—
313#217—38no—
314#217C22×D318yescomplemented
315(C2×D3)⋊C4—38no—
316(C2×D3)⋊C4—38no—
317(C2×D3)⋊C4—38no—
318(C2×D3)⋊C4—38no—
319(C2×D3)⋊C4—38no—
320(C2×D3)⋊C4C22×D318yes—
321C4⋊Dic3—38no—
322Dic3⋊C4—38no—
323Dic3⋊C4—38no—
324Dic3⋊C4—38no—
325Dic3⋊C4C22×D318yescomplemented
326C4×Dic3C22×D318yescomplemented
327C22×C32—22no—
328C22×C32—24no—
329C22×C32—44no—
330C22×C32C22×D412yes—
331C22×C32C2×#4114yes—
332C22×C32C2511yescharacteristic
333C2×C3⋊D3—22no—
334C2×C3⋊D3—28no—
335C2×C3⋊D3—24no—
336C2×C3⋊D3—24no—
337C2×C3⋊D3—44no—
338C2×C3⋊D3C22×D414yes—
339C2×C3×D3—216no—
340C2×C3×D3—24no—
341C2×C3×D3—24no—
342C2×C3×D3C2×#4118yescomplemented
343D32—232no—
344C32×C4—22no—
345C32×C4C22×D414yes—
346C3⋊Dic3—22no—
347C3⋊Dic3C22×D414yes—
348C3×Dic3—24no—
349C3×Dic3—24no—
350C3×Dic3—24no—
351C25—91no—
352C2×#41—98no—
353C2×#41—188no—
354C22×Q8—91no—
355C22×D4—32no—
356C22×D4—92no—
357C22×D4—91no—
358C22×D4—91no—
359C22×D4—91no—
360C23×C4—32no—
361C23×C4—91no—
362C23×C4—98no—
363C23×C4—92no—
364C23×C4—91no—
365C23×C4—91no—
366C23×C4—188no—
367C23×C4D3211yescharacteristic, complemented
368#123—98no—
369#123—98no—
370C22⋊Q8—916no—
371#121—916no—
372#120—98no—
373#120—98no—
374C4×D4—316no—
375C4×D4—916no—
376#117—98no—
377C2×C4⋊C4—32no—
378C2×C4⋊C4—92no—
379C2×C4⋊C4—92no—
380C2×C22⋊C4—32no—
381C2×C22⋊C4—32no—
382C2×C22⋊C4—91no—
383C2×C22⋊C4—91no—
384C2×C22⋊C4—92no—
385C2×C22⋊C4—92no—
386C2×C42—32no—
387C23×C3—24no—
388C23×C3—24no—
389C23×C3—24no—
390C23×C3—24no—
391C23×C3—21no—
392C23×C3—22no—
393C23×C3—38no—
394C23×C3—34no—
395C23×C3—44no—
396C23×C3—64no—
397C23×C3—64no—
398C23×C3C23×D314yes—
399C23×C3C23×D312yes—
400C22×D3—24no—
401C22×D3—24no—
402C22×D3—38no—
403C22×D3—34no—
404C22×D3—34no—
405C22×D3—64no—
406C22×D3—62no—
407C22×D3—62no—
408C22×D3—616no—
409C22×D3—616no—
410C22×D3—664no—
411C22×D3—64no—
412C22×D3—64no—
413C22×D3—616no—
414C22×D3—64no—
415C22×D3—64no—
416C22×D3—64no—
417C22×D3—64no—
418C22×D3—124no—
419C22×D3—124no—
420C22×D3#23518yescomplemented
421C22×D3C23×D314yes—
422C3×D4—616no—
423C2×C3×C4—24no—
424C2×C3×C4—216no—
425C2×C3×C4—24no—
426C2×C3×C4—216no—
427C2×C3×C4—22no—
428C2×C3×C4—22no—
429C2×C3×C4—24no—
430C2×C3×C4—34no—
431C2×C3×C4—34no—
432C2×C3×C4—34no—
433C2×C3×C4—64no—
434C2×C3×C4—64no—
435C2×C3×C4—64no—
436C2×C3×C4—616no—
437C2×C3×C4D3×D418yes—
438C2×C3×C4C23×D314yes—
439C2×C3×C4C23×D314yes—
440#67—216no—
441#67—616no—
442#67—616no—
443#67—616no—
444#67—616no—
445#67—616no—
446C2×Dic3—24no—
447C2×Dic3—24no—
448C2×Dic3—24no—
449C2×Dic3—38no—
450C2×Dic3—34no—
451C2×Dic3—34no—
452C2×Dic3—64no—
453C2×Dic3—62no—
454C2×Dic3—62no—
455C2×Dic3—616no—
456C2×Dic3—64no—
457C2×Dic3—64no—
458C2×Dic3C23×D314yes—
459C2×Dic3C23×D314yes—
460C2×Dic3C23×D314yes—
461D12—616no—
462D12—616no—
463D12—616no—
464C4×D3—216no—
465C4×D3—332no—
466C4×D3—616no—
467C4×D3—616no—
468C4×D3—616no—
469C4×D3—616no—
470C4×D3—616no—
471Dic6—616no—
472Dic6—616no—
473C2×C32—42no—
474C2×C32#52514yescomplemented
475C2×C32C23×D411yescharacteristic
476C2×C32C22×#4112yes—
477C3⋊D3—24no—
478C3⋊D3—42no—
479C3×D3—28no—
480C24—32no—
481C24—94no—
482C24—91no—
483C24—91no—
484C24—188no—
485C24—184no—
486C24C2×D3211yescharacteristic
487#41—1832no—
488C2×Q8—94no—
489C2×Q8—184no—
490C2×D4—38no—
491C2×D4—68no—
492C2×D4—98no—
493C2×D4—94no—
494C2×D4—94no—
495C2×D4—94no—
496C2×D4—184no—
497C2×D4—188no—
498C2×D4—184no—
499C2×D4—184no—
500C22×C4—24no—
501C22×C4—32no—
502C22×C4—32no—
503C22×C4—32no—
504C22×C4—38no—
505C22×C4—68no—
506C22×C4—94no—
507C22×C4—98no—
508C22×C4—91no—
509C22×C4—94no—
510C22×C4—98no—
511C22×C4—91no—
512C22×C4—94no—
513C22×C4—1832no—
514C22×C4—184no—
515C22×C4—188no—
516C22×C4—184no—
517C22×C4C2×D3211yescharacteristic
518C22×C4C2×D3211yescharacteristic
519C22×C4C2×D3214yescomplemented
520C4⋊C4—38no—
521C4⋊C4—98no—
522C4⋊C4—98no—
523C22⋊C4—38no—
524C22⋊C4—38no—
525C22⋊C4—94no—
526C22⋊C4—94no—
527C22⋊C4—98no—
528C22⋊C4—98no—
529C42—38no—
530C22×C3—24no—
531C22×C3—24no—
532C22×C3—24no—
533C22×C3—24no—
534C22×C3—24no—
535C22×C3—22no—
536C22×C3—21no—
537C22×C3—38no—
538C22×C3—44no—
539C22×C3—48no—
540C22×C3—48no—
541C22×C3—64no—
542C22×C3—64no—
543C22×C3—616no—
544C22×C3C2×#23514yes—
545C22×C3C2×D3×D414yes—
546C22×C3D3×#4114yes—
547C22×C3C24×D312yes—
548C2×D3—24no—
549C2×D3—24no—
550C2×D3—216no—
551C2×D3—38no—
552C2×D3—64no—
553C2×D3—664no—
554C2×D3—64no—
555C2×D3—64no—
556C2×D3—616no—
557C2×D3—64no—
558C2×D3—64no—
559C2×D3—64no—
560C2×D3—64no—
561C2×D3—128no—
562C2×D3—124no—
563C2×D3—124no—
564C2×D3—128no—
565C2×D3—128no—
566C2×D3C2×#23518yescomplemented
567C3×C4—24no—
568C3×C4—24no—
569C3×C4—24no—
570C3×C4—64no—
571C3×C4—64no—
572C3×C4—64no—
573C3×C4C2×D3×D418yes—
574Dic3—24no—
575Dic3—24no—
576Dic3—24no—
577Dic3—38no—
578Dic3—64no—
579Dic3—64no—
580Dic3—64no—
581C32C2×#52511yescharacteristic, complemented, Sylow
582C23—24no—
583C23—22no—
584C23—38no—
585C23—34no—
586C23—64no—
587C23—64no—
588C23—94no—
589C23—92no—
590C23—92no—
591C23—1816no—
592C23—188no—
593C23—1832no—
594C23—184no—
595C23—184no—
596C23—182no—
597C23C22×D3212yes—
598C23C22×D3211yescharacteristic
599Q8—188no—
600D4—616no—
601D4—188no—
602D4—1816no—
603D4—188no—
604D4—188no—
605C2×C4—22no—
606C2×C4—28no—
607C2×C4—34no—
608C2×C4—34no—
609C2×C4—34no—
610C2×C4—64no—
611C2×C4—64no—
612C2×C4—64no—
613C2×C4—616no—
614C2×C4—94no—
615C2×C4—92no—
616C2×C4—916no—
617C2×C4—92no—
618C2×C4—188no—
619C2×C4—1816no—
620C2×C4—182no—
621C2×C4—188no—
622C2×C4#381114yes—
623C2×C4C22×D3212yes—
624C2×C4C22×D3212yes—
625C2×C3—24no—
626C2×C3—22no—
627C2×C3—21no—
628C2×C3—44no—
629C2×C3—44no—
630C2×C3—68no—
631C2×C3#554718yescomplemented
632C2×C3C22×#23512yes—
633C2×C3C22×D3×D412yes—
634C2×C3C2×D3×#4112yes—
635D3—28no—
636D3—68no—
637D3—124no—
638D3—124no—
639D3—124no—
640C22—24no—
641C22—22no—
642C22—38no—
643C22—44no—
644C22—616no—
645C22—64no—
646C22—64no—
647C22—94no—
648C22—1832no—
649C22—188no—
650C22—184no—
651C22—184no—
652C22—182no—
653C22—364no—
654C22D3×#23514yes—
655C22C2×#381112yes—
656C22C23×D3211yescharacteristic
657C4—22no—
658C4—64no—
659C4—64no—
660C4—64no—
661C4—94no—
662C4—182no—
663C4C2×#381114yes—
664C3—21no—
665C3C2×#554712yescomplemented
666C2—42no—
667C2—68no—
668C2—184no—
669C2—362no—
670C2#1059507614yesdirect product factor
671C2C2×D3×#23512yes—
672C2C22×#381111yescharacteristic
subgroupG/H
centerC22×C4C2×D32
commutator, cosocleC22×C32C25
FrattiniC22C23×D32
FittingC23×C32×C4C22
socleC23×C32C24
hypercenterC23×C4D32
hypocenterC32C2×#525
LCSG ▷ C22×C32 ▷ C32
UCSC1 ◁ C22×C4 ◁ C23×C4

Complements

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

NH ≅ G/Ntype
1. C22×#3828C2semidirect
2. C22×C4×D32C2semidirect
3. C2×C3×C4×#67C2semidirect
4. C2×#63983C2semidirect
5. C2×#63975C2semidirect
6. C2×#63971C2semidirect
7. #10595076C2direct (N × H)
8. C2×#63923C2semidirect
9. C2×C4×#626C2semidirect
10. C2×#63897C2semidirect
11. C2×#63896C2semidirect
12. C2×#63874C2semidirect
15. C23×C32×C4C22semidirect
17. C22×#638C22semidirect
19. C2×#3828C22semidirect
22. C22×C4×C3⋊D3C22semidirect
23. C22×#634C22semidirect
30. C2×C4×D32C22semidirect
31. C2×C3×#217C22semidirect
32. C3×C4×#67C22semidirect
34. C2×C3×Dic3⋊C4C22semidirect
35. C2×C3×C4×Dic3C22semidirect
36. #63983C22semidirect
37. #63975C22semidirect
38. #63971C22semidirect
39. C2×#3724C22semidirect
40. C2×Dic3⋊Dic3C22semidirect
43. C2×#3722C22semidirect
45. #63923C22semidirect
46. C4×#626C22semidirect
47. #63897C22semidirect
48. #63896C22semidirect
49. #63874C22semidirect
57. C2×C4×#67D3semidirect
77. C22×C32×C4C23semidirect
81. C2×#638C23semidirect
88. C2×C4×C3⋊D3D4semidirect
90. C2×C4×C3⋊D3C23semidirect
92. C2×#634C23semidirect
107. C3×#217C23semidirect
109. C3×Dic3⋊C4C23semidirect
110. C3×C4×Dic3C23semidirect
111. #3724C23semidirect
112. Dic3⋊Dic3C23semidirect
115. #3722C23semidirect
122. C23×C3×C4C2×D3semidirect
154. C2×#217C2×D3semidirect
158. C4×#67C2×D3semidirect
169. C2×Dic3⋊C4C2×D3semidirect
170. C2×C4×Dic3C2×D3semidirect
191. C22×C3×D3#41semidirect
209. C4×C3⋊D3C2×D4semidirect
260. C22×C3×C4C22×D3semidirect
314. #217C22×D3semidirect
325. Dic3⋊C4C22×D3semidirect
326. C4×Dic3C22×D3semidirect
342. C2×C3×D3C2×#41semidirect
367. C23×C4D32semidirect
420. C22×D3#235semidirect
474. C2×C32#525semidirect
519. C22×C4C2×D32semidirect
566. C2×D3C2×#235semidirect
581. C32C2×#525semidirect
631. C2×C3#5547semidirect
665. C3C2×#5547semidirect
670. C2#10595076direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#38282
C22×C4×D322
C2×C3×C4×#672
C2×#639832
C2×#639752
C2×#639712
#105950762
C2×#639232
C2×C4×#6262
C2×#638972
C2×#638962
C2×#638742
C2×#55473