Finite Group Databasebeta

← #11804885

Subgroups — #11804885

Order 1152.

1789 conjugacy classes of subgroups.

The subgroup lattice has 672 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×D3×Dic6C211yesmaximal, characteristic
2C2×C4×#634C211yesmaximal, characteristic, complemented
3C2×#63844C211yesmaximal, characteristic, complemented
4C3×C4×(C2×D3)⋊C4C211yesmaximal, characteristic
5C3×#4929C211yesmaximal, characteristic, complemented
6#10591396C212yesmaximal, complemented
7#10591369C212yesmaximal
8#10591368C212yesmaximal
9#10591313C211yesmaximal, characteristic
10#10591236C212yesmaximal, complemented
11#10591220C211yesmaximal, characteristic, complemented
12#76614—31nomaximal
13C22⋊C4×Dic6—31nomaximal
14C22×#634C2211yescharacteristic
15C22×C3×C4×D3C2211yescharacteristic
16C22×C3×Dic6C2211yescharacteristic
17C22×#627C2212yes—
18C22×D3×Dic3C2212yes—
19C2×D3×Dic6—24no—
20C2×D3×Dic6—24no—
21C2×D3×Dic6C418yescomplemented
22C2×C32×C42C2211yescharacteristic
23C2×C4⋊(C3⋊Dic3)C2211yescharacteristic
24C2×#3750C2212yes—
25C2×C4×C3⋊Dic3C2212yes—
26C4×#634—24no—
27C2×C3×(C2×D3)⋊C4C2211yescharacteristic
28C2×C3×(C2×D3)⋊C4C2211yescharacteristic
29C2×C3×C4⋊Dic3C2211yescharacteristic
30C2×C3×C4×Dic3C2211yescharacteristic
31C2×#3724C2212yes—
32C2×(C2×D3)⋊Dic3C2212yes—
33C2×Dic32C2212yes—
34#63844—24no—
35C3×C3⋊#95C2211yescharacteristic
36C3×C3⋊#95C2212yes—
37C3×C3⋊#95C2212yes—
38C3×C3⋊#95C2211yescharacteristic
39#63579C2212yes—
40#63579C2212yes—
41#63579C2212yes—
42C22×D3×Q8—31no—
43C23×Dic6—31no—
44C2×#887—31no—
45C2×C4×Dic6—31no—
46C2×C4×Dic6—31no—
47C2×C4×Dic6—31no—
48C2×C4×Dic6—61no—
49C3×#391—31no—
50C3×C4×C22⋊C4—31no—
51#5229—31no—
52#5212—31no—
53#4987—31no—
54#4942—32no—
55Dic3×C22⋊C4—32no—
56C4×(C2×D3)⋊C4D311yescharacteristic
57#4929—31no—
58#4929D311yescharacteristic, complemented
59#4667—32no—
60#4666—32no—
61#4646—32no—
62#4646—32no—
63#4646—32no—
64#4646—32no—
65C23×C3×D3C2311yescharacteristic
66C22×C32×C4C2311yescharacteristic
67C22×C32×C4C2311yescharacteristic
68C22×C32×C4C2311yescharacteristic
69C22×C3⋊Dic3C2312yes—
70C22×C3⋊Dic3C2312yes—
71C2×#634C2×C414yes—
72C2×#634D414yes—
73C2×#634D414yes—
74C22×C3×Dic3C2311yescharacteristic
75C22×C3×Dic3C2312yes—
76C22×C3×Dic3C2312yes—
77C22×C3×Dic3C2311yescharacteristic
78C22×C3×Dic3C2311yescharacteristic
79C2×C3×C4×D3—22no—
80C2×C3×C4×D3—22no—
81C2×C3×C4×D3C2×C414yes—
82C2×C3×Dic6—22no—
83C2×C3×Dic6—22no—
84C2×C3×Dic6C2×C414yes—
85C2×#627—24no—
86C2×#627—24no—
87C2×#627C2×C418yes—
88C2×D3×Dic3—24no—
89C2×D3×Dic3—24no—
90C2×D3×Dic3C2×C418yes—
91D3×Dic6—232no—
92C32×C42—22no—
93C4⋊(C3⋊Dic3)—22no—
94#3750—24no—
95C4×C3⋊Dic3—24no—
96C3×(C2×D3)⋊C4—22no—
97C3×(C2×D3)⋊C4Q814yescomplemented
98C3×C4⋊Dic3—22no—
99C3×C4×Dic3—22no—
100#3724—24no—
101(C2×D3)⋊Dic3—24no—
102Dic32—24no—
103Q8×C22⋊C4—91noSylow
104C22×C3×Q8—31no—
105C23×C3×C4—31no—
106C23×Dic3—32no—
107C2×D3×Q8—38no—
108C2×D3×Q8—64no—
109C2×D3×Q8—64no—
110C22×C4×D3—32no—
111C22×C4×D3C2×D311yescharacteristic
112C22×Dic6—31no—
113C22×Dic6—31no—
114C22×Dic6—32no—
115C22×Dic6—32no—
116C22×Dic6—38no—
117C22×Dic6—61no—
118C22×Dic6—64no—
119C22×Dic6—64no—
120C22×Dic6C2×D311yescharacteristic
121C2×C3×C4⋊C4—31no—
122C2×C3×C22⋊C4—31no—
123C2×C3×C22⋊C4—31no—
124C2×C3×C42—21no—
125C2×C3×C42—31no—
126C2×C3×C42C2×D311yescharacteristic
127C2×C3×C42C2×D311yescharacteristic
128C2×#217—32no—
129C2×(C2×D3)⋊C4—32no—
130C2×(C2×D3)⋊C4C2×D311yescharacteristic
131C2×(C2×D3)⋊C4C2×D311yescharacteristic
132C2×C4⋊Dic3—31no—
133C2×C4⋊Dic3—31no—
134C2×C4⋊Dic3—61no—
135C2×C4⋊Dic3C2×D311yescharacteristic
136C2×Dic3⋊C4—32no—
137C2×Dic3⋊C4—32no—
138C2×Dic3⋊C4—32no—
139C2×Dic3⋊C4—32no—
140C2×Dic3⋊C4—62no—
141C2×C4×Dic3—32no—
142C2×C4×Dic3—32no—
143C2×C4×Dic3—32no—
144C2×C4×Dic3—32no—
145C2×C4×Dic3—62no—
146C2×C4×Dic3C2×D311yescharacteristic
147#887—64no—
148C4×Dic6—64no—
149C4×Dic6—64no—
150C4×Dic6—64no—
151C4×Dic6—68no—
152C3×#95—31no—
153C3×#95—31no—
154C3×#95—32no—
155C3×#95—32no—
156C3⋊#95—32no—
157C3⋊#95—32no—
158C3⋊#95—32no—
159C3⋊#95—32no—
160C3⋊#95—32no—
161C3⋊#95—32no—
162C3⋊#95C2×D311yescharacteristic
163C3⋊#95C2×D311yescharacteristic
164C3⋊#95C2×D312yes—
165C3⋊#95C2×D312yes—
166C23×C32C2411yescharacteristic
167C22×C3×D3—21no—
168C22×C3×D3—21no—
169C22×C3×D3—21no—
170C22×C3×D3—21no—
171C22×C3×D3C22×C412yes—
172C22×C3×D3C2×Q812yes—
173C22×C3×D3#4112yes—
174C2×C32×C4—21no—
175C2×C32×C4—21no—
176C2×C32×C4—21no—
177C2×C32×C4—21no—
178C2×C32×C4—21no—
179C2×C32×C4C22×C412yes—
180C2×C32×C4C2×D412yes—
181C2×C32×C4C2×D412yes—
182C2×C32×C4C2×Q812yescomplemented
183C2×C3⋊Dic3—22no—
184C2×C3⋊Dic3—22no—
185C2×C3⋊Dic3—22no—
186C2×C3⋊Dic3C22×C414yes—
187C2×C3⋊Dic3C2×D414yes—
188C2×C3⋊Dic3C2×D414yes—
189#634C22⋊C4116yescomplemented
190C2×C3×Dic3—21no—
191C2×C3×Dic3—22no—
192C2×C3×Dic3—22no—
193C2×C3×Dic3—21no—
194C2×C3×Dic3—21no—
195C2×C3×Dic3—21no—
196C2×C3×Dic3—22no—
197C2×C3×Dic3—21no—
198C2×C3×Dic3—22no—
199C2×C3×Dic3—21no—
200C2×C3×Dic3—21no—
201C2×C3×Dic3—22no—
202C2×C3×Dic3C22×C414yes—
203C2×C3×Dic3C22×C412yes—
204C2×C3×Dic3C2×Q812yescomplemented
205C3×C4×D3—28no—
206C3×Dic6—28no—
207#627—216no—
208D3×Dic3—216no—
209C23×Q8—91no—
210C2×C4×Q8—91no—
211C2×C4×Q8—91no—
212#391—31no—
213#391—92no—
214#391—92no—
215#391—91no—
216#380—92no—
217#380—91no—
218C4×C22⋊C4—31no—
219C4×C22⋊C4—92no—
220C24×C3—31no—
221C23×D3C22×D311yescharacteristic
222C2×C3×Q8—34no—
223C2×C3×Q8—62no—
224C2×C3×Q8—62no—
225C22×C3×C4—21no—
226C22×C3×C4—21no—
227C22×C3×C4—21no—
228C22×C3×C4—31no—
229C22×C3×C4—32no—
230C22×C3×C4—31no—
231C22×C3×C4—34no—
232C22×C3×C4—31no—
233C22×C3×C4—32no—
234C22×C3×C4—62no—
235C22×C3×C4—62no—
236C22×C3×C4C22×D311yescharacteristic
237C22×C3×C4C22×D311yescharacteristic
238C22×C3×C4C22×D311yescharacteristic
239C22×C3×C4C22×D311yescharacteristic
240C22×C3×C4C22×D311yescharacteristic
241C22×C3×C4C22×D311yescharacteristic
242C22×Dic3—32no—
243C22×Dic3—32no—
244C22×Dic3—38no—
245C22×Dic3—32no—
246C22×Dic3—32no—
247C22×Dic3—62no—
248C22×Dic3—62no—
249C22×Dic3—64no—
250C22×Dic3—64no—
251C22×Dic3C22×D311yescharacteristic
252C22×Dic3C22×D312yes—
253C22×Dic3C22×D311yescharacteristic
254C22×Dic3C22×D311yescharacteristic
255C22×Dic3C22×D312yes—
256D3×Q8—632no—
257C2×C4×D3—22no—
258C2×C4×D3—22no—
259C2×C4×D3—38no—
260C2×C4×D3—64no—
261C2×C4×D3—64no—
262C2×C4×D3C4×D314yes—
263C2×Dic6—22no—
264C2×Dic6—22no—
265C2×Dic6—34no—
266C2×Dic6—34no—
267C2×Dic6—34no—
268C2×Dic6—34no—
269C2×Dic6—34no—
270C2×Dic6—34no—
271C2×Dic6—38no—
272C2×Dic6—38no—
273C2×Dic6—64no—
274C2×Dic6—64no—
275C2×Dic6—64no—
276C2×Dic6—632no—
277C2×Dic6—64no—
278C2×Dic6—64no—
279C2×Dic6—64no—
280C2×Dic6—64no—
281C2×Dic6C4×D314yes—
282C3×C4⋊C4—62no—
283C3×C22⋊C4—34no—
284C3×C22⋊C4—62no—
285C3×C42—24no—
286C3×C42—22no—
287C3×C42—22no—
288C3×C42—62no—
289#217—64no—
290(C2×D3)⋊C4—22no—
291(C2×D3)⋊C4—64no—
292(C2×D3)⋊C4Dic614yescomplemented
293C4⋊Dic3—22no—
294C4⋊Dic3—64no—
295C4⋊Dic3—62no—
296C4⋊Dic3—62no—
297Dic3⋊C4—64no—
298Dic3⋊C4—64no—
299Dic3⋊C4—64no—
300Dic3⋊C4—64no—
301Dic3⋊C4—68no—
302C4×Dic3—22no—
303C4×Dic3—64no—
304C4×Dic3—64no—
305C4×Dic3—64no—
306C4×Dic3—64no—
307C4×Dic3—68no—
308C22×C32C23×C411yescharacteristic
309C22×C32C22×D411yescharacteristic
310C22×C32C22×D411yescharacteristic
311C22×C32C22×Q811yescharacteristic
312C22×C32C2×#4111yescharacteristic
313C22×C322−1+411yescharacteristic
314C22×C322−1+411yescharacteristic
315C2×C3×D3—22no—
316C2×C3×D3—22no—
317C2×C3×D3—22no—
318C2×C3×D3—22no—
319C2×C3×D3—22no—
320C2×C3×D3—22no—
321C2×C3×D3C4×Q814yescomplemented
322C32×C4—22no—
323C32×C4—41no—
324C32×C4C2×C22⋊C414yes—
325C3⋊Dic3—42no—
326C3⋊Dic3C2×C22⋊C418yes—
327C3×Dic3—24no—
328C3×Dic3—22no—
329C3×Dic3—22no—
330C3×Dic3—42no—
331C3×Dic3—41no—
332C22×Q8—31no—
333C22×Q8—92no—
334C22×Q8—98no—
335C22×Q8—91no—
336C22×Q8—184no—
337C22×Q8—184no—
338C23×C4—31no—
339C23×C4—92no—
340C4×Q8—184no—
341C4×Q8—184no—
342C2×C4⋊C4—31no—
343C2×C4⋊C4—92no—
344C2×C4⋊C4—92no—
345C2×C4⋊C4—91no—
346C2×C22⋊C4—31no—
347C2×C22⋊C4—31no—
348C2×C22⋊C4—92no—
349C2×C42—31no—
350C2×C42—92no—
351C2×C42—92no—
352C2×C42D3211yescharacteristic
353#95—31no—
354#95—31no—
355#95—32no—
356#95—32no—
357#95—92no—
358#95—92no—
359#95—92no—
360C23×C3—21no—
361C23×C3—32no—
362C23×C3—32no—
363C23×C3—32no—
364C23×C3—61no—
365C23×C3—61no—
366C23×C3—61no—
367C23×C3—61no—
368C23×C3C23×D311yescharacteristic
369C23×C3C23×D311yescharacteristic
370C22×D3—21no—
371C22×D3—21no—
372C22×D3—21no—
373C22×D3—21no—
374C22×D3C2×Dic612yes—
375C22×D3C2×C4×D312yes—
376C22×D3#23512yes—
377C3×Q8—68no—
378C2×C3×C4—22no—
379C2×C3×C4—22no—
380C2×C3×C4—21no—
381C2×C3×C4—21no—
382C2×C3×C4—21no—
383C2×C3×C4—21no—
384C2×C3×C4—22no—
385C2×C3×C4—21no—
386C2×C3×C4—21no—
387C2×C3×C4—21no—
388C2×C3×C4—21no—
389C2×C3×C4—21no—
390C2×C3×C4—21no—
391C2×C3×C4—22no—
392C2×C3×C4—22no—
393C2×C3×C4—22no—
394C2×C3×C4—22no—
395C2×C3×C4—32no—
396C2×C3×C4—34no—
397C2×C3×C4—32no—
398C2×C3×C4—41no—
399C2×C3×C4—41no—
400C2×C3×C4—61no—
401C2×C3×C4—61no—
402C2×C3×C4—61no—
403C2×C3×C4—62no—
404C2×C3×C4—62no—
405C2×C3×C4—61no—
406C2×C3×C4—68no—
407C2×C3×C4—62no—
408C2×C3×C4—62no—
409C2×C3×C4—61no—
410C2×C3×C4—61no—
411C2×C3×C4—61no—
412C2×C3×C4—62no—
413C2×C3×C4C2×Dic612yescomplemented
414C2×C3×C4C2×C4×D312yes—
415C2×C3×C4C2×C4×D312yes—
416C2×C3×C4D3×D412yes—
417C2×C3×C4D3×D412yes—
418C2×C3×C4D3×D412yes—
419C2×C3×C4D3×D412yes—
420C2×C3×C4D3×Q812yescomplemented
421C2×Dic3—21no—
422C2×Dic3—22no—
423C2×Dic3—22no—
424C2×Dic3—21no—
425C2×Dic3—21no—
426C2×Dic3—21no—
427C2×Dic3—21no—
428C2×Dic3—21no—
429C2×Dic3—22no—
430C2×Dic3—22no—
431C2×Dic3—22no—
432C2×Dic3—21no—
433C2×Dic3—34no—
434C2×Dic3—34no—
435C2×Dic3—34no—
436C2×Dic3—34no—
437C2×Dic3—34no—
438C2×Dic3—34no—
439C2×Dic3—64no—
440C2×Dic3—64no—
441C2×Dic3—64no—
442C2×Dic3—616no—
443C2×Dic3—64no—
444C2×Dic3—62no—
445C2×Dic3—62no—
446C2×Dic3—62no—
447C2×Dic3—62no—
448C2×Dic3—62no—
449C2×Dic3—62no—
450C2×Dic3—122no—
451C2×Dic3—122no—
452C2×Dic3C2×Dic612yescomplemented
453C2×Dic3C2×C4×D312yes—
454C2×Dic3C2×C4×D314yes—
455C4×D3—28no—
456C4×D3—616no—
457Dic6—28no—
458Dic6—316no—
459Dic6—316no—
460Dic6—616no—
461Dic6—616no—
462Dic6—616no—
463C2×C32C22×C22⋊C411yescharacteristic
464C2×C32C2×C4×Q811yescharacteristic
465C2×C32#51911yescharacteristic
466C2×C32#54811yescharacteristic
467C2×C32#54811yescharacteristic
468C2×C32D4×Q811yescharacteristic
469C2×C32D4×Q811yescharacteristic
470C3×D3—24no—
471C24—31no—
472C2×Q8—34no—
473C2×Q8—62no—
474C2×Q8—62no—
475C2×Q8—98no—
476C2×Q8—94no—
477C2×Q8—94no—
478C2×Q8—94no—
479C2×Q8—184no—
480C2×Q8—184no—
481C2×Q8—1832no—
482C22×C4—31no—
483C22×C4—32no—
484C22×C4—31no—
485C22×C4—34no—
486C22×C4—32no—
487C22×C4—31no—
488C22×C4—62no—
489C22×C4—62no—
490C22×C4—98no—
491C22×C4—92no—
492C22×C4—92no—
493C22×C4—184no—
494C22×C4—184no—
495C22×C4C2×D3211yescharacteristic
496C22×C4C2×D3211yescharacteristic
497C22×C4C2×D3211yescharacteristic
498C4⋊C4—62no—
499C4⋊C4—184no—
500C4⋊C4—184no—
501C4⋊C4—182no—
502C22⋊C4—34no—
503C22⋊C4—62no—
504C22⋊C4—184no—
505C42—22no—
506C42—62no—
507C42—184no—
508C42—184no—
509C22×C3—21no—
510C22×C3—21no—
511C22×C3—21no—
512C22×C3—21no—
513C22×C3—21no—
514C22×C3—21no—
515C22×C3—21no—
516C22×C3—34no—
517C22×C3—62no—
518C22×C3—62no—
519C22×C3—62no—
520C22×C3—62no—
521C22×C3—62no—
522C22×C3—62no—
523C22×C3C22×Dic611yescharacteristic
524C22×C3C22×C4×D311yescharacteristic
525C22×C3C22×C4×D311yescharacteristic
526C22×C3C2×#23511yescharacteristic
527C22×C3C2×D3×D411yescharacteristic
528C22×C3C2×D3×D411yescharacteristic
529C22×C3C2×D3×D411yescharacteristic
530C22×C3C2×D3×D411yescharacteristic
531C22×C3C2×D3×Q811yescharacteristic
532C22×C3#100711yescharacteristic
533C22×C3D3×#4111yescharacteristic
534C22×C3#101011yescharacteristic
535C22×C3#101011yescharacteristic
536C22×C3#101011yescharacteristic
537C2×D3—22no—
538C2×D3—22no—
539C2×D3—22no—
540C2×D3—22no—
541C2×D3—22no—
542C2×D3—22no—
543C2×D3C4×Dic614yescomplemented
544C3×C4—24no—
545C3×C4—22no—
546C3×C4—22no—
547C3×C4—24no—
548C3×C4—42no—
549C3×C4—41no—
550C3×C4—41no—
551C3×C4—62no—
552C3×C4—62no—
553C3×C4—64no—
554C3×C4—121no—
555C3×C4—122no—
556C3×C4D3×C22⋊C414yes—
557C3×C4D3×C22⋊C414yes—
558Dic3—24no—
559Dic3—22no—
560Dic3—22no—
561Dic3—38no—
562Dic3—38no—
563Dic3—42no—
564Dic3—41no—
565Dic3—68no—
566Dic3—124no—
567Dic3—122no—
568Dic3—122no—
569C32Q8×C22⋊C411yescharacteristic, complemented, Sylow
570C23—32no—
571C23—32no—
572C23—32no—
573C23—61no—
574C23—61no—
575C23—61no—
576C23—61no—
577C23C22×D3211yescharacteristic
578Q8—68no—
579Q8—916no—
580Q8—1816no—
581C2×C4—21no—
582C2×C4—21no—
583C2×C4—21no—
584C2×C4—21no—
585C2×C4—21no—
586C2×C4—32no—
587C2×C4—32no—
588C2×C4—34no—
589C2×C4—61no—
590C2×C4—61no—
591C2×C4—61no—
592C2×C4—62no—
593C2×C4—61no—
594C2×C4—62no—
595C2×C4—68no—
596C2×C4—62no—
597C2×C4—61no—
598C2×C4—61no—
599C2×C4—62no—
600C2×C4—61no—
601C2×C4—62no—
602C2×C4—94no—
603C2×C4—94no—
604C2×C4—94no—
605C2×C4—1816no—
606C2×C4—182no—
607C2×C4—182no—
608C2×C4—182no—
609C2×C4D3×Dic612yescomplemented
610C2×C4C4×D3212yes—
611C2×C4#380212yes—
612C2×C4#381112yes—
613C2×C3—21no—
614C2×C3—21no—
615C2×C3—21no—
616C2×C3—21no—
617C2×C3—21no—
618C2×C3—21no—
619C2×C3—21no—
620C2×C3—64no—
621C2×C3C2×C4×Dic611yescharacteristic
622C2×C3C2×D3×C22⋊C411yescharacteristic
623C2×C3C2×D3×C22⋊C411yescharacteristic
624C2×C3#551611yescharacteristic
625C2×C3D4×Dic611yescharacteristic
626C2×C3D4×Dic611yescharacteristic
627C2×C3#555211yescharacteristic
628C2×C3#555211yescharacteristic
629C2×C3C4×D3×Q811yescharacteristic
630C2×C3#557211yescharacteristic
631C2×C3#563211yescharacteristic
632C2×C3#563311yescharacteristic
633C2×C3#567711yescharacteristic
634C2×C3#572711yescharacteristic
635D3—24no—
636C22—34no—
637C22—62no—
638C22—62no—
639C22—62no—
640C22—62no—
641C22—62no—
642C22—62no—
643C22C2×D3×Dic611yescharacteristic
644C22#6429711yescharacteristic
645C22#6429811yescharacteristic
646C22C2×C4×D3211yescharacteristic
647C22C2×#380211yescharacteristic
648C22D3×#23511yescharacteristic
649C22C2×#381111yescharacteristic
650C4—22no—
651C4—41no—
652C4—62no—
653C4—62no—
654C4—64no—
655C4—98no—
656C4—121no—
657C4—122no—
658C4—362no—
659C4#6392114yes—
660C3—21no—
661C3C22⋊C4×Dic611yescharacteristic, complemented
662C3#7661411yescharacteristic, complemented
663C2—64no—
664C2C4×D3×Dic611yescharacteristic
665C2#1059388511yescharacteristic
666C2#1059390411yescharacteristic
667C2#1059390511yescharacteristic
668C2#1059491511yescharacteristic
669C2#1059491611yescharacteristic
670C2C2×#6392111yescharacteristic
subgroupG/H
center, FrattiniC23C22×D32
commutatorC22×C32C23×C4
FittingC2×C32×C42C22
socle, cosocleC23×C32C24
prime radicalC23×C3×D3C23
hypercenterC2×C42D32
hypocenterC32Q8×C22⋊C4
LCSG ▷ C22×C32 ▷ C32
UCSC1 ◁ C23 ◁ C2×C42

Complements

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

NH ≅ G/Ntype
2. C2×C4×#634C2semidirect
3. C2×#63844C2semidirect
5. C3×#4929C2semidirect
6. #10591396C2semidirect
10. #10591236C2semidirect
11. #10591220C2semidirect
21. C2×D3×Dic6C4semidirect
58. #4929D3semidirect
97. C3×(C2×D3)⋊C4Q8semidirect
182. C2×C32×C4C2×Q8semidirect
189. #634C22⋊C4semidirect
204. C2×C3×Dic3C2×Q8semidirect
292. (C2×D3)⋊C4Dic6semidirect
321. C2×C3×D3C4×Q8semidirect
413. C2×C3×C4C2×Dic6semidirect
420. C2×C3×C4D3×Q8semidirect
452. C2×Dic3C2×Dic6semidirect
543. C2×D3C4×Dic6semidirect
569. C32Q8×C22⋊C4semidirect
609. C2×C4D3×Dic6semidirect
661. C3C22⋊C4×Dic6semidirect
662. C3#76614semidirect

Maximal subgroups

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

subgroupindex
C22×D3×Dic62
C2×C4×#6342
C2×#638442
C3×C4×(C2×D3)⋊C42
C3×#49292
#105913962
#105913692
#105913682
#105913132
#105912362
#105912202
#766143
C22⋊C4×Dic63