Finite Group Databasebeta

← #10834028

Subgroups — #10834028

Order 768.

1056 conjugacy classes of subgroups.

The subgroup lattice has 764 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C3×#450C211yesmaximal, characteristic
2#84044C211yesmaximal, characteristic
3#82787C211yesmaximal, characteristic, complemented
4C2×#4720C211yesmaximal, characteristic, complemented
5#72128C211yesmaximal, characteristic
6#72051C211yesmaximal, characteristic, complemented
7#72051C211yesmaximal, characteristic, complemented
8#72050C211yesmaximal, characteristic, complemented
9#72049C211yesmaximal, characteristic, complemented
10#71693C211yesmaximal, characteristic, complemented
11#70188C211yesmaximal, characteristic, complemented
12#70186C211yesmaximal, characteristic, complemented
13#70180C211yesmaximal, characteristic, complemented
14#70179C211yesmaximal, characteristic, complemented
15#69929C211yesmaximal, characteristic, complemented
16#24516—31nomaximal, Sylow
17C23×C3×D4C2211yescharacteristic
18C22×C3×SD16C2211yescharacteristic
19C22×C3×SD16C2211yescharacteristic
20C2×C3×C22⋊Q8C2211yescharacteristic
21C2×#926C2211yescharacteristic
22C2×#926C2211yescharacteristic
23C3×#450—24no—
24C2×C3×#102C2211yescharacteristic
25C2×C3×#102C2211yescharacteristic
26C2×C3×C22⋊C8C2211yescharacteristic
27#5247—21no—
28#5247—21no—
29#5229C2211yescharacteristic, complemented
30#5229C2211yescharacteristic, complemented
31C2×#835C2211yescharacteristic, complemented
32C2×#835C2211yescharacteristic, complemented
33#5221—21no—
34#5221—21no—
35#5221C2211yescharacteristic
36#5221C2211yescharacteristic
37#5221C2211yescharacteristic
38#5221C2211yescharacteristic
39C2×#832C2211yescharacteristic
40C2×#832C2211yescharacteristic
41C2×#832C2211yescharacteristic
42C2×#832C2211yescharacteristic
43#5212C2211yescharacteristic
44C2×#830C2211yescharacteristic
45C2×#818C2211yescharacteristic, complemented
46C2×#817C2211yescharacteristic, complemented
47C2×#815C2211yescharacteristic, complemented
48C2×Dic3⋊C8C2211yescharacteristic, complemented
49C2×Dic3⋊C8C2211yescharacteristic, complemented
50C2×C8×Dic3C2211yescharacteristic, complemented
51#4986—21no—
52#4981—21no—
53#4972C2211yescharacteristic, complemented
54#4972C2211yescharacteristic, complemented
55#4952—21no—
56#4952—21no—
57#4720—24no—
58#4551C2211yescharacteristic, complemented
59#4551C2211yescharacteristic, complemented
60#4529C2211yescharacteristic, complemented
61#4529C2211yescharacteristic, complemented
62C2×#450D311yescharacteristic
63C2×#433—31no—
64#2625—31no—
65#2309—31no—
66#2067—31no—
67#2065—31no—
68#2055—31no—
69#2055—31no—
70#1973—31no—
71#1968—31no—
72#1936—31no—
73#1934—31no—
74#1873—31no—
75#1854—31no—
76#1786—31no—
77C25×C3—21no—
78C22×C3×Q8C2311yescharacteristic
79C22×C3×D4—22no—
80C22×C3×D4—22no—
81C22×C3×D4—21no—
82C22×C3×D4—22no—
83C22×C3×D4—22no—
84C22×C3×D4—41no—
85C22×C3×D4—41no—
86C22×C3×D4C2311yescharacteristic
87C22×C3×D4C2311yescharacteristic
88C23×C3×C4C2311yescharacteristic
89C2×C3×SD16—22no—
90C2×C3×SD16—22no—
91C2×C3×SD16—22no—
92C2×C3×SD16—22no—
93C2×C3×SD16—41no—
94C2×C3×SD16—41no—
95C22×C3×C8C2311yescharacteristic
96C22×C3×C8C2311yescharacteristic
97C3×C22⋊Q8—22no—
98C3×C22⋊Q8—22no—
99C2×C3×C4⋊C4—21no—
100C2×C3×C4⋊C4C2311yescharacteristic
101C2×C3×C22⋊C4—21no—
102C2×#217—21no—
103C2×#217—21no—
104C2×#217—21no—
105C2×#217—21no—
106C2×#217—21no—
107C2×#217—21no—
108C2×#217—21no—
109C2×#217—21no—
110C2×#217—21no—
111C2×#217—21no—
112C2×#217D411yescharacteristic
113C2×#217D411yescharacteristic
114#926—22no—
115#926—22no—
116#926—41no—
117#926—41no—
118C2×C4⋊Dic3D411yescharacteristic
119C2×C4⋊Dic3D411yescharacteristic
120C2×C4⋊Dic3C2311yescharacteristic
121C2×C4⋊Dic3C2311yescharacteristic
122C2×C4⋊Dic3C2311yescharacteristic
123C2×C4⋊Dic3C2311yescharacteristic
124C2×Dic3⋊C4—21no—
125C2×Dic3⋊C4—21no—
126C2×C4×Dic3—21no—
127C2×C4×Dic3C2311yescharacteristic
128C2×C4×Dic3C2311yescharacteristic
129C22×C3⋊C8C2311yescharacteristic
130C22×C3⋊C8C2311yescharacteristic
131C3×#102—22no—
132C3×#102—22no—
133C3×C22⋊C8D414yes—
134#835—41no—
135#835—41no—
136#832—22no—
137#832—22no—
138#832—41no—
139#832—41no—
140C3⋊#95—21no—
141C3⋊#95—21no—
142C3⋊#95—21no—
143C3⋊#95—21no—
144C3⋊#95—21no—
145C3⋊#95—21no—
146C3⋊#95—21no—
147#830—22no—
148#818—41no—
149#817—41no—
150#815—22no—
151Dic3⋊C8—22no—
152Dic3⋊C8—22no—
153C8×Dic3—22no—
154C23×D4C2×D311yescharacteristic
155C22×SD16C2×D311yescharacteristic
156C22×SD16C2×D311yescharacteristic
157C2×C22⋊Q8C2×D311yescharacteristic
158C2×#117—31no—
159C2×#117—31no—
160#450—24no—
161#433—64no—
162C2×#107—31no—
163C2×#106—31no—
164C2×C4⋊C8—31no—
165C2×C4⋊C8—31no—
166C2×#103—31no—
167C2×#103—31no—
168C2×#102—31no—
169C2×#102—31no—
170C2×#102—31no—
171C2×#102—31no—
172C2×#102C2×D311yescharacteristic
173C2×#102C2×D311yescharacteristic
174C2×C22⋊C8—31no—
175C2×C22⋊C8C2×D311yescharacteristic
176C2×#97—31no—
177C2×C4×C8—31no—
178#400—61no—
179#398—61no—
180#397—61no—
181#397—61no—
182#391—31no—
183#391—31no—
184#390—31no—
185#390—31no—
186#390—31no—
187#390—31no—
188#390—61no—
189#390—61no—
190#389—31no—
191#389—31no—
192#380—31no—
193#379—61no—
194#379—61no—
195#340—31no—
196#340—31no—
197#340—31no—
198#340—31no—
199C24×C3—24no—
200C24×C3—21no—
201C24×C3—21no—
202C24×C3—42no—
203C24×C3—42no—
204C24×C3—81no—
205C24×C3—81no—
206C24×C3—81no—
207C24×C3—81no—
208C24×C3C2×D411yescharacteristic
209C2×C3×Q8—21no—
210C2×C3×Q8—21no—
211C2×C3×Q8—21no—
212C2×C3×Q8—21no—
213C2×C3×Q8—21no—
214C2×C3×Q8—21no—
215C2×C3×D4—24no—
216C2×C3×D4—21no—
217C2×C3×D4—21no—
218C2×C3×D4—21no—
219C2×C3×D4—21no—
220C2×C3×D4—21no—
221C2×C3×D4—21no—
222C2×C3×D4—21no—
223C2×C3×D4—21no—
224C2×C3×D4—21no—
225C2×C3×D4—21no—
226C2×C3×D4—44no—
227C2×C3×D4—44no—
228C2×C3×D4—44no—
229C2×C3×D4—44no—
230C2×C3×D4—42no—
231C2×C3×D4—42no—
232C2×C3×D4#4112yes—
233C2×C3×D4#4112yes—
234C22×C3×C4—21no—
235C22×C3×C4—21no—
236C22×C3×C4—21no—
237C22×C3×C4—21no—
238C22×C3×C4—21no—
239C22×C3×C4—21no—
240C22×C3×C4C2×D411yescharacteristic
241C22×C3×C4C2×D412yes—
242C22×C3×C4#4112yes—
243C22×C3×C4C2411yescharacteristic
244C22×Dic3—21no—
245C22×Dic3—21no—
246C22×Dic3—21no—
247C22×Dic3—21no—
248C22×Dic3C2×D411yescharacteristic
249C22×Dic3C2×D411yescharacteristic
250C22×Dic3C2×D411yescharacteristic
251C22×Dic3C2×D411yescharacteristic
252C3×SD16—44no—
253C3×SD16—44no—
254C2×C3×C8—21no—
255C2×C3×C8—21no—
256C2×C3×C8—21no—
257C2×C3×C8—21no—
258C2×C3×C8C2×D412yes—
259C2×C3×C8C2×D412yes—
260C3×C4⋊C4—21no—
261C3×C4⋊C4—21no—
262C3×C4⋊C4—42no—
263C3×C22⋊C4—42no—
264#217—22no—
265#217—22no—
266#217—42no—
267#217—81no—
268#217—81no—
269#217—81no—
270#217—81no—
271#217—81no—
272#217—81no—
273#217—81no—
274#217—81no—
275#217—81no—
276C4⋊Dic3—22no—
277C4⋊Dic3—22no—
278C4⋊Dic3—21no—
279C4⋊Dic3—21no—
280C4⋊Dic3—21no—
281C4⋊Dic3—21no—
282C4⋊Dic3—21no—
283C4⋊Dic3—21no—
284C4⋊Dic3—21no—
285C4⋊Dic3—21no—
286Dic3⋊C4—81no—
287Dic3⋊C4—81no—
288C4×Dic3—21no—
289C4×Dic3—21no—
290C4×Dic3—21no—
291C4×Dic3—21no—
292C4×Dic3—42no—
293C2×C3⋊C8—21no—
294C2×C3⋊C8—21no—
295C2×C3⋊C8—21no—
296C2×C3⋊C8—21no—
297C2×C3⋊C8—21no—
298C2×C3⋊C8—21no—
299C25—21no—
300C22×Q8C22×D311yescharacteristic
301C22×D4—22no—
302C22×D4—22no—
303C22×D4—21no—
304C22×D4—22no—
305C22×D4—22no—
306C22×D4—41no—
307C22×D4—41no—
308C22×D4C22×D311yescharacteristic
309C22×D4C22×D311yescharacteristic
310C23×C4C22×D311yescharacteristic
311C2×SD16—22no—
312C2×SD16—22no—
313C2×SD16—22no—
314C2×SD16—22no—
315C2×SD16—41no—
316C2×SD16—41no—
317C22×C8—31no—
318C22×C8—31no—
319C22×C8C22×D311yescharacteristic
320C22×C8C22×D311yescharacteristic
321C22⋊Q8—22no—
322C22⋊Q8—22no—
323#117—62no—
324#117—62no—
325#117—121no—
326#117—121no—
327C2×C4⋊C4—21no—
328C2×C4⋊C4—31no—
329C2×C4⋊C4—31no—
330C2×C4⋊C4—31no—
331C2×C4⋊C4—31no—
332C2×C4⋊C4—31no—
333C2×C4⋊C4—31no—
334C2×C4⋊C4—61no—
335C2×C4⋊C4—61no—
336C2×C4⋊C4C22×D311yescharacteristic
337C2×C22⋊C4—21no—
338C2×C22⋊C4—31no—
339C2×C22⋊C4—31no—
340C2×C22⋊C4—61no—
341C2×C22⋊C4—61no—
342C2×C22⋊C4—61no—
343C2×C22⋊C4—61no—
344C2×C22⋊C4—61no—
345C2×C22⋊C4—61no—
346C2×C22⋊C4—61no—
347C2×C22⋊C4—61no—
348C2×C22⋊C4—61no—
349C2×C22⋊C4—61no—
350C2×C42—31no—
351C2×C42—31no—
352C2×C42—61no—
353#107—121no—
354#106—121no—
355C4⋊C8—62no—
356C4⋊C8—62no—
357#103—121no—
358#103—121no—
359#102—22no—
360#102—22no—
361#102—62no—
362#102—62no—
363#102—121no—
364#102—121no—
365C22⋊C8—62no—
366C22⋊C8#6714yes—
367#97—62no—
368C4×C8—62no—
369#95—61no—
370#95—61no—
371#95—61no—
372#95—61no—
373#95—61no—
374#95—61no—
375#95—61no—
376C23×C3—21no—
377C23×C3—21no—
378C23×C3—21no—
379C23×C3—21no—
380C23×C3—21no—
381C23×C3—21no—
382C23×C3—22no—
383C23×C3—22no—
384C23×C3—48no—
385C23×C3—41no—
386C23×C3—41no—
387C23×C3—41no—
388C23×C3—41no—
389C23×C3—41no—
390C23×C3—41no—
391C23×C3—41no—
392C23×C3—41no—
393C23×C3—41no—
394C23×C3—41no—
395C23×C3—41no—
396C23×C3—41no—
397C23×C3—84no—
398C23×C3—84no—
399C23×C3—84no—
400C23×C3—84no—
401C23×C3—84no—
402C23×C3—84no—
403C23×C3#12112yes—
404C23×C3C22×D411yescharacteristic
405C3×Q8—41no—
406C3×Q8—41no—
407C3×Q8—41no—
408C3×Q8—41no—
409C3×D4—22no—
410C3×D4—22no—
411C3×D4—22no—
412C3×D4—22no—
413C3×D4—48no—
414C3×D4—41no—
415C3×D4—41no—
416C3×D4—41no—
417C3×D4—41no—
418C2×C3×C4—21no—
419C2×C3×C4—21no—
420C2×C3×C4—22no—
421C2×C3×C4—22no—
422C2×C3×C4—22no—
423C2×C3×C4—22no—
424C2×C3×C4—41no—
425C2×C3×C4—41no—
426C2×C3×C4—41no—
427C2×C3×C4—41no—
428C2×C3×C4—41no—
429C2×C3×C4—41no—
430C2×C3×C4#12112yes—
431C2×C3×C4C22×D411yescharacteristic
432C2×C3×C4C2×#4111yescharacteristic
433C2×C3×C4C2×#4111yescharacteristic
434C2×C3×C4C2×#4111yescharacteristic
435C2×C3×C4H(5,𝔽2)11yescharacteristic
436C2×C3×C4H(5,𝔽2)11yescharacteristic
437C2×Dic3—21no—
438C2×Dic3—21no—
439C2×Dic3—21no—
440C2×Dic3—21no—
441C2×Dic3—21no—
442C2×Dic3—21no—
443C2×Dic3—21no—
444C2×Dic3—21no—
445C2×Dic3—21no—
446C2×Dic3—21no—
447C2×Dic3—21no—
448C2×Dic3—21no—
449C2×Dic3—41no—
450C2×Dic3—41no—
451C2×Dic3—41no—
452C2×Dic3—41no—
453C2×Dic3—41no—
454C2×Dic3—41no—
455C2×Dic3—41no—
456C2×Dic3—41no—
457C2×Dic3—41no—
458C2×Dic3—41no—
459C2×Dic3—41no—
460C2×Dic3—41no—
461C3×C8—22no—
462C3×C8—22no—
463C3⋊C8—41no—
464C3⋊C8—41no—
465C24—24no—
466C24—21no—
467C24—21no—
468C24—42no—
469C24—42no—
470C24—81no—
471C24—81no—
472C24—81no—
473C24—81no—
474C24D3×D411yescharacteristic
475C2×Q8—21no—
476C2×Q8—21no—
477C2×Q8—21no—
478C2×Q8—21no—
479C2×Q8—21no—
480C2×Q8—21no—
481C2×D4—24no—
482C2×D4—21no—
483C2×D4—21no—
484C2×D4—21no—
485C2×D4—21no—
486C2×D4—21no—
487C2×D4—21no—
488C2×D4—21no—
489C2×D4—21no—
490C2×D4—21no—
491C2×D4—21no—
492C2×D4—44no—
493C2×D4—44no—
494C2×D4—44no—
495C2×D4—44no—
496C2×D4—42no—
497C2×D4—42no—
498C2×D4#23712yes—
499C2×D4#23712yes—
500C22×C4—21no—
501C22×C4—21no—
502C22×C4—21no—
503C22×C4—21no—
504C22×C4—21no—
505C22×C4—21no—
506C22×C4—31no—
507C22×C4—31no—
508C22×C4—31no—
509C22×C4—31no—
510C22×C4—61no—
511C22×C4—61no—
512C22×C4—61no—
513C22×C4—61no—
514C22×C4D3×D411yescharacteristic
515C22×C4#23712yes—
516C22×C4C2×#6712yes—
517C22×C4C23×D311yescharacteristic
518SD16—44no—
519SD16—44no—
520C2×C8—21no—
521C2×C8—21no—
522C2×C8—21no—
523C2×C8—21no—
524C2×C8—61no—
525C2×C8—61no—
526C2×C8—61no—
527C2×C8—61no—
528C2×C8—61no—
529C2×C8—61no—
530C2×C8C2×#6712yes—
531C2×C8C2×#6712yes—
532C4⋊C4—21no—
533C4⋊C4—21no—
534C4⋊C4—42no—
535C4⋊C4—62no—
536C4⋊C4—62no—
537C4⋊C4—61no—
538C4⋊C4—61no—
539C4⋊C4—61no—
540C4⋊C4—61no—
541C4⋊C4—61no—
542C4⋊C4—61no—
543C4⋊C4—61no—
544C4⋊C4—61no—
545C4⋊C4—241no—
546C4⋊C4—241no—
547C22⋊C4—42no—
548C22⋊C4—62no—
549C22⋊C4—62no—
550C22⋊C4—122no—
551C22⋊C4—241no—
552C22⋊C4—241no—
553C22⋊C4—241no—
554C22⋊C4—241no—
555C22⋊C4—241no—
556C22⋊C4—241no—
557C22⋊C4—241no—
558C22⋊C4—241no—
559C22⋊C4—241no—
560C42—61no—
561C42—61no—
562C42—61no—
563C42—61no—
564C42—122no—
565C22×C3—22no—
566C22×C3—22no—
567C22×C3—22no—
568C22×C3—41no—
569C22×C3—41no—
570C22×C3—41no—
571C22×C3—41no—
572C22×C3—42no—
573C22×C3—42no—
574C22×C3—42no—
575C22×C3—42no—
576C22×C3—42no—
577C22×C3—42no—
578C22×C3—816no—
579C22×C3—81no—
580C22×C3—81no—
581C22×C3—81no—
582C22×C3—81no—
583C22×C3—81no—
584C22×C3—81no—
585C22×C3—81no—
586C22×C3—81no—
587C22×C3C2×#12111yescharacteristic
588C22×C3#52511yescharacteristic
589C22×C3#53511yescharacteristic
590C22×C3#57611yescharacteristic
591C22×C3#57711yescharacteristic
592C22×C3#57711yescharacteristic
593C22×C3#57711yescharacteristic
594C3×C4—22no—
595C3×C4—81no—
596C3×C4—81no—
597C3×C4#54611yescharacteristic
598C3×C4#54611yescharacteristic
599C3×C4#55111yescharacteristic
600C3×C4#55111yescharacteristic
601Dic3—41no—
602Dic3—41no—
603Dic3—41no—
604Dic3—41no—
605Dic3—81no—
606Dic3—81no—
607Dic3—81no—
608Dic3—81no—
609C23—21no—
610C23—21no—
611C23—21no—
612C23—21no—
613C23—21no—
614C23—21no—
615C23—22no—
616C23—22no—
617C23—48no—
618C23—41no—
619C23—41no—
620C23—41no—
621C23—41no—
622C23—41no—
623C23—41no—
624C23—41no—
625C23—41no—
626C23—41no—
627C23—41no—
628C23—41no—
629C23—41no—
630C23—84no—
631C23—84no—
632C23—84no—
633C23—84no—
634C23—84no—
635C23—84no—
636C23#93812yes—
637C23C2×D3×D411yescharacteristic
638Q8—41no—
639Q8—41no—
640Q8—41no—
641Q8—41no—
642D4—22no—
643D4—22no—
644D4—22no—
645D4—22no—
646D4—48no—
647D4—41no—
648D4—41no—
649D4—41no—
650D4—41no—
651C2×C4—21no—
652C2×C4—21no—
653C2×C4—22no—
654C2×C4—22no—
655C2×C4—22no—
656C2×C4—22no—
657C2×C4—41no—
658C2×C4—41no—
659C2×C4—41no—
660C2×C4—41no—
661C2×C4—41no—
662C2×C4—41no—
663C2×C4—61no—
664C2×C4—61no—
665C2×C4—61no—
666C2×C4—61no—
667C2×C4—61no—
668C2×C4—61no—
669C2×C4—61no—
670C2×C4—61no—
671C2×C4—61no—
672C2×C4—61no—
673C2×C4—61no—
674C2×C4—61no—
675C2×C4—121no—
676C2×C4—121no—
677C2×C4—121no—
678C2×C4—121no—
679C2×C4—121no—
680C2×C4—121no—
681C2×C4—121no—
682C2×C4—121no—
683C2×C4—121no—
684C2×C4—121no—
685C2×C4—121no—
686C2×C4—121no—
687C2×C4#93812yes—
688C2×C4C2×#23711yescharacteristic
689C2×C4C2×#23711yescharacteristic
690C2×C4C2×#23711yescharacteristic
691C2×C4#100411yescharacteristic
692C2×C4#100411yescharacteristic
693C2×C4C22×#6711yescharacteristic
694C8—22no—
695C8—22no—
696C8—121no—
697C8—121no—
698C2×C3—42no—
699C2×C3—82no—
700C2×C3—82no—
701C2×C3#241111yescharacteristic
702C2×C3#305711yescharacteristic
703C2×C3#306211yescharacteristic
704C2×C3#311811yescharacteristic
705C2×C3#312311yescharacteristic
706C2×C3#322211yescharacteristic
707C2×C3#322411yescharacteristic
708C22—22no—
709C22—22no—
710C22—22no—
711C22—41no—
712C22—41no—
713C22—41no—
714C22—41no—
715C22—42no—
716C22—42no—
717C22—42no—
718C22—42no—
719C22—42no—
720C22—42no—
721C22—816no—
722C22—81no—
723C22—81no—
724C22—81no—
725C22—81no—
726C22—81no—
727C22—81no—
728C22—81no—
729C22—81no—
730C22#558611yescharacteristic
731C22#559211yescharacteristic
732C22#576211yescharacteristic
733C22#576211yescharacteristic
734C22#577411yescharacteristic
735C22#577511yescharacteristic
736C22C2×#93811yescharacteristic
737C4—22no—
738C4—81no—
739C4—81no—
740C4—121no—
741C4—121no—
742C4—121no—
743C4—121no—
744C4—241no—
745C4—241no—
746C4—241no—
747C4—241no—
748C4#558711yescharacteristic
749C4#558711yescharacteristic
750C4#580611yescharacteristic
751C4#580611yescharacteristic
752C3#2451611yescharacteristic, complemented, Sylow
753C2—42no—
754C2—82no—
755C2—82no—
756C2#8013611yescharacteristic
757C2#8013711yescharacteristic
758C2#8014211yescharacteristic
759C2#8014311yescharacteristic
760C2#8258311yescharacteristic
761C2#8386311yescharacteristic
762C2#8395111yescharacteristic
subgroupG/H
centerC23C2×D3×D4
commutator, cosocleC22×C3×C4C24
FrattiniC22×C4C23×D3
FittingC2×C3×#450C2
socleC23×C3C22×D4
prime radicalC23×C3×D4C22
hypercenterC2×#450D3
hypocenterC3#24516
LCSG ▷ C22×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C23 ◁ C23×C4 ◁ C2×#450

Complements

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

NH ≅ G/Ntype
3. #82787C2semidirect
4. C2×#4720C2semidirect
6. #72051C2semidirect
7. #72051C2semidirect
8. #72050C2semidirect
9. #72049C2semidirect
10. #71693C2semidirect
11. #70188C2semidirect
12. #70186C2semidirect
13. #70180C2semidirect
14. #70179C2semidirect
15. #69929C2semidirect
29. #5229C22semidirect
30. #5229C22semidirect
31. C2×#835C22semidirect
32. C2×#835C22semidirect
45. C2×#818C22semidirect
46. C2×#817C22semidirect
47. C2×#815C22semidirect
48. C2×Dic3⋊C8C22semidirect
49. C2×Dic3⋊C8C22semidirect
50. C2×C8×Dic3C22semidirect
53. #4972C22semidirect
54. #4972C22semidirect
58. #4551C22semidirect
59. #4551C22semidirect
60. #4529C22semidirect
61. #4529C22semidirect
752. C3#24516semidirect

Maximal subgroups

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

subgroupindex
C2×C3×#4502
#840442
#827872
C2×#47202
#721282
#720512
#720502
#720492
#716932
#701882
#701862
#701802
#701792
#699292
#245163