Finite Group Databasebeta

← #10701977

Subgroups — #10701977

Order 768.

1278 conjugacy classes of subgroups.

The subgroup lattice has 756 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#951C211yesmaximal, characteristic
2C2×C3×#408C211yesmaximal, characteristic
3C2×#5232C211yesmaximal, characteristic
4C22×#824C211yesmaximal, characteristic, complemented
5C22×#816C211yesmaximal, characteristic, complemented
6C2×#4554C211yesmaximal, characteristic, complemented
7C2×#4552C211yesmaximal, characteristic, complemented
8#11021—31nomaximal, Sylow
9C22×C3×#41C2211yescharacteristic
10C23×Dic6C2211yescharacteristic
11C22×C3×M16C2211yescharacteristic
12C23×C3×C8C2211yescharacteristic
13C2×#951—22no—
14C2×#951—22no—
15C2×#951—22no—
16C2×#951—22no—
17C2×#951—22no—
18C2×#951C414yescomplemented
19C22×#216—21no—
20C22×#214—21no—
21C22×C4⋊Dic3C2211yescharacteristic
22C22×#208C2211yescharacteristic
23C22×#208C2211yescharacteristic
24C3×#408—22no—
25C3×#408—22no—
26C2×C3×C22⋊C8—22no—
27#5232—22no—
28#5232—22no—
29C2×#835—21no—
30C2×#832—21no—
31C2×#824—22no—
32C2×#824—22no—
33C2×#824—22no—
34C2×#816—22no—
35C2×#816—22no—
36C2×#816—22no—
37#4554—22no—
38#4552—22no—
39C22×#137—31no—
40C2×#417—31no—
41C22×#103—31no—
42C22×#101—31no—
43C2×#408D311yescharacteristic
44C2×#343—31no—
45C2×#341—31no—
46C2×C3×#41—21no—
47C2×C3×#41—21no—
48C2×C3×#41—21no—
49C2×C3×#41—21no—
50C2×C3×#41—21no—
51C2×C3×#41—21no—
52C2×C3×#41—21no—
53C2×C3×#41—21no—
54C2×C3×#41—21no—
55C2×C3×#41—21no—
56C2×C3×#41C2×C412yes—
57C2×C3×#41D412yes—
58C22×C3×Q8D411yescharacteristic
59C22×C3×D4—21no—
60C22×C3×D4D411yescharacteristic
61C23×C3×C4—21no—
62C23×C3×C4C2311yescharacteristic
63C23×Dic3—21no—
64C23×Dic3—21no—
65C22×Dic6—21no—
66C22×Dic6—21no—
67C22×Dic6—21no—
68C22×Dic6—21no—
69C22×Dic6—21no—
70C22×Dic6—21no—
71C22×Dic6—21no—
72C22×Dic6—21no—
73C22×Dic6—21no—
74C22×Dic6—21no—
75C22×Dic6—21no—
76C22×Dic6C2×C412yes—
77C22×Dic6D412yes—
78C22×Dic6D412yes—
79C2×C3×M16—21no—
80C2×C3×M16—21no—
81C2×C3×M16—21no—
82C2×C3×M16—21no—
83C2×C3×M16—21no—
84C2×C3×M16D412yes—
85C22×C3×C8—21no—
86C22×C3×C8—21no—
87C22×C3×C8—21no—
88C22×C3×C8—21no—
89C22×C3×C8—21no—
90C22×C3×C8—21no—
91C22×C3×C8—21no—
92C22×C3×C8D412yes—
93#951—28no—
94#951—28no—
95#951—28no—
96#951—28no—
97C2×#216—24no—
98C2×#216—24no—
99C2×#216—24no—
100C2×#214—24no—
101C2×#214—24no—
102C2×#214—24no—
103C2×C4⋊Dic3—21no—
104C2×C4⋊Dic3—21no—
105C2×C4⋊Dic3—21no—
106C2×C4⋊Dic3—21no—
107C2×C4⋊Dic3—21no—
108C2×C4⋊Dic3D412yes—
109C2×#208—21no—
110C2×#208—21no—
111C2×#208—21no—
112C2×#208—21no—
113C2×#208—21no—
114C2×#208—21no—
115C2×#208—21no—
116C2×#208—21no—
117C2×#208C2×C412yes—
118C2×#208D412yes—
119C2×#208D412yes—
120C2×#208D412yes—
121C22×C3⋊C8—21no—
122C22×C3⋊C8—21no—
123C3×C22⋊C8—28no—
124#835—24no—
125#832—24no—
126#824—28no—
127#816—28no—
128C22×#41C2×D311yescharacteristic
129C23×Q8—31no—
130C2×#137—34no—
131C2×#137—62no—
132C2×#137—62no—
133C2×#137—62no—
134C2×#137—62no—
135C2×#137—62no—
136C22×Q16—61no—
137C22×SD16—61no—
138C22×M16—31no—
139C22×M16—31no—
140C22×M16C2×D311yescharacteristic
141C23×C8C2×D311yescharacteristic
142C22×C4⋊C4—31no—
143#417—62no—
144#417—62no—
145C2×#103—62no—
146C2×#103—62no—
147C2×#103—61no—
148C2×#103—62no—
149C2×#102—61no—
150C2×#101—62no—
151C2×#101—62no—
152C2×#101—62no—
153#408—22no—
154#408—22no—
155C2×C22⋊C8—22no—
156#343—62no—
157#341—62no—
158C24×C3—21no—
159C24×C3#4111yescharacteristic
160C3×#41—22no—
161C3×#41—22no—
162C3×#41—22no—
163C3×#41—22no—
164C3×#41—22no—
165C3×#41—22no—
166C3×#41—22no—
167C3×#41—22no—
168C3×#41—41no—
169C3×#41—41no—
170C3×#41—41no—
171C3×#41—41no—
172C3×#41—41no—
173C3×#41—41no—
174C3×#41—41no—
175C3×#41—41no—
176C2×C3×Q8—21no—
177C2×C3×Q8—21no—
178C2×C3×Q8—21no—
179C2×C3×Q8—21no—
180C2×C3×Q8—21no—
181C2×C3×Q8C22⋊C412yes—
182C2×C3×D4—22no—
183C2×C3×D4—22no—
184C2×C3×D4—21no—
185C2×C3×D4—21no—
186C2×C3×D4—21no—
187C2×C3×D4—21no—
188C2×C3×D4—21no—
189C2×C3×D4—41no—
190C2×C3×D4—41no—
191C2×C3×D4—41no—
192C2×C3×D4—41no—
193C2×C3×D4C22⋊C412yes—
194C22×C3×C4—21no—
195C22×C3×C4—22no—
196C22×C3×C4—22no—
197C22×C3×C4—41no—
198C22×C3×C4—41no—
199C22×C3×C4—41no—
200C22×C3×C4—41no—
201C22×C3×C4C22×C411yescharacteristic
202C22×C3×C4C2×D411yescharacteristic
203C22×C3×C4C2×D411yescharacteristic
204C22×C3×C4C2×D411yescharacteristic
205C22×C3×C4C2×D411yescharacteristic
206C22×C3×C4C2×D411yescharacteristic
207C22×C3×C4C2×D411yescharacteristic
208C22×C3×C4C2×D411yescharacteristic
209C22×C3×C4C2×D411yescharacteristic
210C22×C3×C4C2×D411yescharacteristic
211C22×C3×C4C2×D411yescharacteristic
212C22×C3×C4#4111yescharacteristic
213C22×C3×C4#4111yescharacteristic
214C22×C3×C4#4111yescharacteristic
215C22×Dic3—22no—
216C22×Dic3—22no—
217C22×Dic3—22no—
218C22×Dic3—22no—
219C22×Dic3—41no—
220C22×Dic3—41no—
221C22×Dic3—41no—
222C22×Dic3—41no—
223C22×Dic3—41no—
224C22×Dic3—41no—
225C22×Dic3—82no—
226C2×Dic6—22no—
227C2×Dic6—22no—
228C2×Dic6—22no—
229C2×Dic6—22no—
230C2×Dic6—22no—
231C2×Dic6—22no—
232C2×Dic6—22no—
233C2×Dic6—22no—
234C2×Dic6—22no—
235C2×Dic6—22no—
236C2×Dic6—22no—
237C2×Dic6—22no—
238C2×Dic6—22no—
239C2×Dic6—22no—
240C2×Dic6—22no—
241C2×Dic6—41no—
242C2×Dic6—41no—
243C2×Dic6—41no—
244C2×Dic6—41no—
245C2×Dic6—41no—
246C2×Dic6—41no—
247C2×Dic6—41no—
248C2×Dic6—41no—
249C2×Dic6—41no—
250C2×Dic6—41no—
251C2×Dic6—41no—
252C2×Dic6—41no—
253C2×Dic6C22⋊C414yes—
254C3×M16—22no—
255C3×M16—22no—
256C3×M16—41no—
257C3×M16—41no—
258C2×C3×C8—22no—
259C2×C3×C8—22no—
260C2×C3×C8—22no—
261C2×C3×C8—22no—
262C2×C3×C8—41no—
263C2×C3×C8—41no—
264C2×C3×C8—41no—
265C2×C3×C8—41no—
266C2×C3×C8—41no—
267C2×C3×C8—41no—
268#216—216no—
269#214—216no—
270C4⋊Dic3—22no—
271C4⋊Dic3—22no—
272C4⋊Dic3—41no—
273C4⋊Dic3—41no—
274#208—22no—
275#208—22no—
276#208—22no—
277#208—22no—
278#208—22no—
279#208—41no—
280#208—41no—
281#208C22⋊C414yes—
282C2×C3⋊C8—22no—
283C2×C3⋊C8—22no—
284C2×C3⋊C8—22no—
285C2×C3⋊C8—22no—
286C2×C3⋊C8—41no—
287C2×C3⋊C8—41no—
288C2×#41—21no—
289C2×#41—21no—
290C2×#41—21no—
291C2×#41—21no—
292C2×#41—21no—
293C2×#41—21no—
294C2×#41—21no—
295C2×#41—21no—
296C2×#41—21no—
297C2×#41—21no—
298C2×#41C4×D312yes—
299C2×#41#6712yes—
300C22×Q8—32no—
301C22×Q8—32no—
302C22×Q8—32no—
303C22×Q8—61no—
304C22×Q8—61no—
305C22×Q8—61no—
306C22×Q8—61no—
307C22×Q8—61no—
308C22×Q8—61no—
309C22×Q8—61no—
310C22×Q8—61no—
311C22×Q8—61no—
312C22×Q8—61no—
313C22×Q8—61no—
314C22×Q8D1211yescharacteristic
315C22×D4—21no—
316C22×D4D1211yescharacteristic
317C23×C4—21no—
318C23×C4—61no—
319C23×C4—61no—
320C23×C4C22×D311yescharacteristic
321#137—68no—
322#137—68no—
323#137—68no—
324#137—68no—
325C2×Q16—64no—
326C2×Q16—64no—
327C2×Q16—64no—
328C2×SD16—64no—
329C2×SD16—64no—
330C2×SD16—64no—
331C2×M16—21no—
332C2×M16—21no—
333C2×M16—21no—
334C2×M16—21no—
335C2×M16—21no—
336C2×M16—32no—
337C2×M16—32no—
338C2×M16—32no—
339C2×M16—32no—
340C2×M16—61no—
341C2×M16—61no—
342C2×M16—61no—
343C2×M16—61no—
344C2×M16—61no—
345C2×M16—61no—
346C2×M16—61no—
347C2×M16—61no—
348C2×M16#6712yes—
349C22×C8—21no—
350C22×C8—21no—
351C22×C8—21no—
352C22×C8—21no—
353C22×C8—21no—
354C22×C8—21no—
355C22×C8—21no—
356C22×C8—61no—
357C22×C8—61no—
358C22×C8#6712yes—
359C2×C4⋊C4—32no—
360C2×C4⋊C4—61no—
361C2×C4⋊C4—61no—
362C2×C4⋊C4—61no—
363C2×C4⋊C4—61no—
364C2×C4⋊C4—61no—
365#103—68no—
366#103—64no—
367#102—64no—
368#101—68no—
369C22⋊C8—28no—
370C23×C3—22no—
371C23×C3—22no—
372C23×C3—22no—
373C23×C3—41no—
374C23×C3—41no—
375C23×C3—42no—
376C23×C3—42no—
377C23×C3C4×D411yescharacteristic
378C23×C3#12111yescharacteristic
379C23×C3#12111yescharacteristic
380C23×C3#12111yescharacteristic
381C23×C3#12311yescharacteristic
382C23×C3#12311yescharacteristic
383C23×C3#12411yescharacteristic
384C3×Q8—22no—
385C3×Q8—22no—
386C3×Q8—41no—
387C3×Q8—41no—
388C3×D4—22no—
389C3×D4—22no—
390C3×D4—42no—
391C3×D4—42no—
392C3×D4—42no—
393C3×D4—42no—
394C3×D4—41no—
395C3×D4—41no—
396C2×C3×C4—22no—
397C2×C3×C4—41no—
398C2×C3×C4—41no—
399C2×C3×C4—42no—
400C2×C3×C4—42no—
401C2×C3×C4—42no—
402C2×C3×C4—42no—
403C2×C3×C4C2×C22⋊C411yescharacteristic
404C2×C3×C4C2×C22⋊C411yescharacteristic
405C2×C3×C4C2×C22⋊C411yescharacteristic
406C2×C3×C4C4×D411yescharacteristic
407C2×C3×C4C4×D411yescharacteristic
408C2×C3×C4C4×D411yescharacteristic
409C2×C3×C4#12011yescharacteristic
410C2×C3×C4#12011yescharacteristic
411C2×C3×C4#12011yescharacteristic
412C2×C3×C4#12011yescharacteristic
413C2×C3×C4#12011yescharacteristic
414C2×C3×C4#12011yescharacteristic
415C2×C3×C4#12011yescharacteristic
416C2×C3×C4#12011yescharacteristic
417C2×C3×C4#12111yescharacteristic
418C2×C3×C4#12111yescharacteristic
419C2×C3×C4#12111yescharacteristic
420C2×C3×C4#12111yescharacteristic
421C2×C3×C4#12111yescharacteristic
422C2×C3×C4#12111yescharacteristic
423C2×C3×C4#12111yescharacteristic
424C2×C3×C4#12111yescharacteristic
425C2×C3×C4#12111yescharacteristic
426C2×C3×C4#12311yescharacteristic
427C2×C3×C4#12311yescharacteristic
428C2×C3×C4#12411yescharacteristic
429C2×C3×C4#12711yescharacteristic
430C2×C3×C4#12711yescharacteristic
431C2×Dic3—24no—
432C2×Dic3—42no—
433C2×Dic3—42no—
434C2×Dic3—42no—
435C2×Dic3—42no—
436C2×Dic3—42no—
437C2×Dic3—42no—
438C2×Dic3—42no—
439C2×Dic3—82no—
440C2×Dic3—82no—
441C2×Dic3—82no—
442Dic6—24no—
443Dic6—24no—
444Dic6—42no—
445Dic6—42no—
446Dic6—42no—
447Dic6—42no—
448Dic6—42no—
449Dic6—42no—
450C3×C8—42no—
451C3×C8—42no—
452C3⋊C8—24no—
453C3⋊C8—42no—
454C24—21no—
455C24#23511yescharacteristic
456#41—22no—
457#41—22no—
458#41—22no—
459#41—22no—
460#41—22no—
461#41—22no—
462#41—22no—
463#41—22no—
464#41—41no—
465#41—41no—
466#41—41no—
467#41—41no—
468#41—41no—
469#41—41no—
470#41—41no—
471#41—41no—
472C2×Q8—21no—
473C2×Q8—21no—
474C2×Q8—21no—
475C2×Q8—21no—
476C2×Q8—21no—
477C2×Q8—34no—
478C2×Q8—62no—
479C2×Q8—62no—
480C2×Q8—62no—
481C2×Q8—62no—
482C2×Q8—62no—
483C2×Q8—62no—
484C2×Q8—62no—
485C2×Q8—62no—
486C2×Q8—62no—
487C2×Q8—62no—
488C2×Q8—62no—
489C2×Q8—62no—
490C2×Q8—62no—
491C2×Q8—62no—
492C2×Q8—62no—
493C2×Q8—121no—
494C2×Q8—121no—
495C2×Q8—121no—
496C2×Q8—121no—
497C2×Q8—121no—
498C2×Q8—121no—
499C2×Q8—121no—
500C2×Q8—121no—
501C2×Q8—121no—
502C2×Q8—121no—
503C2×Q8—121no—
504C2×Q8—121no—
505C2×Q8(C2×D3)⋊C412yes—
506C2×D4—22no—
507C2×D4—22no—
508C2×D4—21no—
509C2×D4—21no—
510C2×D4—21no—
511C2×D4—21no—
512C2×D4—21no—
513C2×D4—41no—
514C2×D4—41no—
515C2×D4—41no—
516C2×D4—41no—
517C2×D4(C2×D3)⋊C412yes—
518C22×C4—21no—
519C22×C4—22no—
520C22×C4—22no—
521C22×C4—41no—
522C22×C4—41no—
523C22×C4—41no—
524C22×C4—41no—
525C22×C4—62no—
526C22×C4—62no—
527C22×C4—62no—
528C22×C4—62no—
529C22×C4—121no—
530C22×C4—121no—
531C22×C4—121no—
532C22×C4—121no—
533C22×C4—121no—
534C22×C4—121no—
535C22×C4—242no—
536C22×C4C2×C4×D311yescharacteristic
537C22×C4C2×D1211yescharacteristic
538C22×C4#23511yescharacteristic
539C22×C4D3×D411yescharacteristic
540C22×C4D3×D411yescharacteristic
541C22×C4D3×D411yescharacteristic
542C22×C4D3×D411yescharacteristic
543C22×C4D3×D411yescharacteristic
544C22×C4D3×D411yescharacteristic
545C22×C4#23711yescharacteristic
546C22×C4#23711yescharacteristic
547C22×C4C2×#6711yescharacteristic
548C22×C4C2×#6711yescharacteristic
549C22×C4C2×#6711yescharacteristic
550Q16—616no—
551SD16—616no—
552M16—22no—
553M16—22no—
554M16—34no—
555M16—41no—
556M16—41no—
557M16—62no—
558M16—62no—
559M16—62no—
560M16—62no—
561M16—62no—
562M16—121no—
563M16—121no—
564C2×C8—22no—
565C2×C8—22no—
566C2×C8—22no—
567C2×C8—22no—
568C2×C8—41no—
569C2×C8—41no—
570C2×C8—41no—
571C2×C8—41no—
572C2×C8—41no—
573C2×C8—41no—
574C2×C8—62no—
575C2×C8—62no—
576C2×C8—62no—
577C2×C8—62no—
578C2×C8—121no—
579C2×C8—121no—
580C4⋊C4—62no—
581C4⋊C4—62no—
582C4⋊C4—121no—
583C4⋊C4—121no—
584C22×C3—22no—
585C22×C3—22no—
586C22×C3—22no—
587C22×C3—22no—
588C22×C3—21no—
589C22×C3—21no—
590C22×C3—21no—
591C22×C3—21no—
592C22×C3—44no—
593C22×C3—42no—
594C22×C3—82no—
595C22×C3—81no—
596C22×C3—81no—
597C22×C3#38611yescharacteristic
598C22×C3#38611yescharacteristic
599C22×C3#39011yescharacteristic
600C22×C3#39211yescharacteristic
601C22×C3#39411yescharacteristic
602C22×C3#39411yescharacteristic
603C22×C3#39411yescharacteristic
604C22×C3#47112yes—
605C22×C3#47312yes—
606C3×C4—42no—
607C3×C4#37911yescharacteristic
608C3×C4#38611yescharacteristic
609C3×C4#38611yescharacteristic
610C3×C4#39011yescharacteristic
611C3×C4#39211yescharacteristic
612C3×C4#39211yescharacteristic
613C3×C4#39211yescharacteristic
614C3×C4#39411yescharacteristic
615Dic3—44no—
616Dic3—82no—
617C23—22no—
618C23—22no—
619C23—22no—
620C23—42no—
621C23—42no—
622C23—41no—
623C23—41no—
624C23#88311yescharacteristic
625C23#88411yescharacteristic
626C23#88411yescharacteristic
627C23#88511yescharacteristic
628C23C4×#6711yescharacteristic
629C23#92911yescharacteristic
630C23#93011yescharacteristic
631Q8—22no—
632Q8—22no—
633Q8—41no—
634Q8—41no—
635Q8—64no—
636Q8—64no—
637Q8—122no—
638Q8—122no—
639Q8—122no—
640Q8—122no—
641Q8—122no—
642Q8—122no—
643D4—22no—
644D4—22no—
645D4—42no—
646D4—42no—
647D4—42no—
648D4—42no—
649D4—41no—
650D4—41no—
651C2×C4—22no—
652C2×C4—41no—
653C2×C4—41no—
654C2×C4—42no—
655C2×C4—42no—
656C2×C4—42no—
657C2×C4—42no—
658C2×C4—64no—
659C2×C4—122no—
660C2×C4—122no—
661C2×C4—122no—
662C2×C4—122no—
663C2×C4—122no—
664C2×C4—122no—
665C2×C4—122no—
666C2×C4—242no—
667C2×C4—242no—
668C2×C4—242no—
669C2×C4D3×C22⋊C411yescharacteristic
670C2×C4D3×C22⋊C411yescharacteristic
671C2×C4#67⋊C411yescharacteristic
672C2×C4#67⋊C411yescharacteristic
673C2×C4#88211yescharacteristic
674C2×C4#88211yescharacteristic
675C2×C4#88211yescharacteristic
676C2×C4#88311yescharacteristic
677C2×C4#88411yescharacteristic
678C2×C4#88411yescharacteristic
679C2×C4#88511yescharacteristic
680C2×C4#88611yescharacteristic
681C2×C4C2×(C2×D3)⋊C411yescharacteristic
682C2×C4C4×#6711yescharacteristic
683C2×C4#93011yescharacteristic
684C2×C4#93711yescharacteristic
685C2×C4#93711yescharacteristic
686C2×C4#93711yescharacteristic
687C2×C4#93711yescharacteristic
688C2×C4#93811yescharacteristic
689C2×C4#93811yescharacteristic
690C2×C4#93911yescharacteristic
691C2×C4#93911yescharacteristic
692C2×C4#93911yescharacteristic
693C2×C4#93911yescharacteristic
694C2×C4#94011yescharacteristic
695C2×C4#94011yescharacteristic
696C2×C4#95311yescharacteristic
697C8—42no—
698C8—42no—
699C8—64no—
700C8—122no—
701C2×C3—21no—
702C2×C3—21no—
703C2×C3—21no—
704C2×C3—21no—
705C2×C3—82no—
706C2×C3#143811yescharacteristic
707C2×C3#190812yes—
708C2×C3#201911yescharacteristic
709C2×C3#202011yescharacteristic
710C2×C3#205212yes—
711C22—22no—
712C22—22no—
713C22—22no—
714C22—22no—
715C22—21no—
716C22—21no—
717C22—21no—
718C22—21no—
719C22—44no—
720C22—42no—
721C22—82no—
722C22—81no—
723C22—81no—
724C22#495611yescharacteristic
725C22#495711yescharacteristic
726C22#495911yescharacteristic
727C22#495911yescharacteristic
728C22#496011yescharacteristic
729C22#496111yescharacteristic
730C22#514112yes—
731C22#514312yes—
732C22#521311yescharacteristic
733C4—42no—
734C4—124no—
735C4—242no—
736C4#495511yescharacteristic
737C4#495611yescharacteristic
738C4#495711yescharacteristic
739C4#495811yescharacteristic
740C4#496011yescharacteristic
741C4#496111yescharacteristic
742C4#522311yescharacteristic
743C4#522311yescharacteristic
744C3#1102111yescharacteristic, complemented, Sylow
745C2—21no—
746C2—21no—
747C2—21no—
748C2—21no—
749C2—82no—
750C2#7000412yes—
751C2#7000711yescharacteristic
752C2#7000811yescharacteristic
753C2#7155011yescharacteristic
754C2#7201912yes—
subgroupG/H
centerC23#930
commutatorC22×C3×C4C22×C4
FrattiniC23×C4C22×D3
FittingC2×C3×#408C2
socleC23×C3#121
prime radicalC22×C3×#41C22
cosocleC23×C3×C4C23
hypercenterC2×#408D3
hypocenterC3#11021
LCSG ▷ C22×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C23 ◁ C23×C4 ◁ C2×#408

Complements

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

NH ≅ G/Ntype
4. C22×#824C2semidirect
5. C22×#816C2semidirect
6. C2×#4554C2semidirect
7. C2×#4552C2semidirect
18. C2×#951C4semidirect
744. C3#11021semidirect

Maximal subgroups

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

subgroupindex
C22×#9512
C2×C3×#4082
C2×#52322
C22×#8242
C22×#8162
C2×#45542
C2×#45522
#110213