Finite Group Databasebeta

← #10834039

Subgroups — #10834039

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×#5169C211yesmaximal, characteristic
2C2×#4709C211yesmaximal, characteristic, complemented
3#76642C211yesmaximal, characteristic, complemented
4#76428C211yesmaximal, characteristic
5C3×#1973C211yesmaximal, characteristic, complemented
6#72051C211yesmaximal, characteristic, complemented
7#70639C211yesmaximal, characteristic, complemented
8#70633C211yesmaximal, characteristic, complemented
9#70280C211yesmaximal, characteristic, complemented
10#70269C211yesmaximal, characteristic, complemented
11#70198C211yesmaximal, characteristic
12#70193C211yesmaximal, characteristic, complemented
13#69818C211yesmaximal, characteristic, complemented
14#69676C211yesmaximal, characteristic, complemented
15#69644C211yesmaximal, characteristic, complemented
16#24516—31nomaximal, Sylow
17C22×D3×D4C2211yescharacteristic
18C22×C3×SD16C2211yescharacteristic
19C2×#946C2211yescharacteristic
20C22×#215C2211yescharacteristic
21C2×#892C2211yescharacteristic
22C2×#872C2211yescharacteristic
23C2×C3×#107C2211yescharacteristic, complemented
24C2×C3×#103C2211yescharacteristic, complemented
25C2×C3×#102C2211yescharacteristic
26C2×C3×#97C2211yescharacteristic, complemented
27C3×#391C2211yescharacteristic, complemented
28C3×#390C2211yescharacteristic
29#5229C2211yescharacteristic, complemented
30C2×#835C2211yescharacteristic, complemented
31#5221C2211yescharacteristic
32C2×#832C2211yescharacteristic
33C2×#832C2211yescharacteristic
34#5169—24no—
35C2×#821C2211yescharacteristic
36C2×#821C2211yescharacteristic
37C2×(C2×D3)⋊C8C2211yescharacteristic
38C2×(C2×D3)⋊C8C2211yescharacteristic
39C2×Dic3⋊C8C2211yescharacteristic, complemented
40C2×Dic3⋊C8C2211yescharacteristic, complemented
41#4988C2211yescharacteristic
42#4987C2211yescharacteristic
43#4984C2211yescharacteristic, complemented
44C2×#809C2211yescharacteristic
45C2×#808C2211yescharacteristic, complemented
46#4957—21no—
47#4957—21no—
48#4955—21no—
49#4955—21no—
50#4939C2211yescharacteristic
51#4928C2211yescharacteristic, complemented
52C2×C4×C3⋊C8C2211yescharacteristic, complemented
53#4709—24no—
54#4675—21no—
55#4674—21no—
56#4658—21no—
57#4657—21no—
58#4551C2211yescharacteristic, complemented
59#4551C2211yescharacteristic, complemented
60#4529C2211yescharacteristic, complemented
61#4529C2211yescharacteristic, complemented
62C2×#450—31no—
63C2×#433—31no—
64#2625—31no—
65#2309—31no—
66#2067—31no—
67#2065—31no—
68#2055—31no—
69#2055—31no—
70#1973D311yescharacteristic, complemented
71#1968—31no—
72#1936—31no—
73#1934—31no—
74#1873—31no—
75#1854—31no—
76#1786—31no—
77C24×D3—21no—
78C22×C3×Q8C2311yescharacteristic
79C22×C3×D4C2311yescharacteristic
80C22×#67—21no—
81C2×D3×D4—22no—
82C2×D3×D4—22no—
83C2×D3×D4—22no—
84C2×D3×D4—22no—
85C2×D3×D4—41no—
86C2×D3×D4—41no—
87C22×D12C2311yescharacteristic
88C22×C4×D3C2311yescharacteristic
89C2×C3×SD16—22no—
90C2×C3×SD16—22no—
91C2×C3×SD16—41no—
92C22×C3×C8C2311yescharacteristic
93C22×C3×C8C2311yescharacteristic
94C2×C3×C4⋊C4C2311yescharacteristic
95C2×C3×C4⋊C4C2311yescharacteristic
96C2×C3×C22⋊C4—21no—
97C2×C3×C22⋊C4—21no—
98C2×C3×C42C2311yescharacteristic
99C2×#217—21no—
100C2×#217—21no—
101#946—22no—
102#946—22no—
103C2×#215—22no—
104C2×#215—22no—
105C2×#215—41no—
106C2×(C2×D3)⋊C4—21no—
107C2×(C2×D3)⋊C4—21no—
108C2×(C2×D3)⋊C4—21no—
109C2×(C2×D3)⋊C4—21no—
110C2×(C2×D3)⋊C4—21no—
111C2×(C2×D3)⋊C4—21no—
112C2×(C2×D3)⋊C4—21no—
113C2×(C2×D3)⋊C4D411yescharacteristic
114C2×(C2×D3)⋊C4D411yescharacteristic
115C2×C4⋊Dic3—21no—
116C2×C4⋊Dic3C2311yescharacteristic
117C2×C4⋊Dic3C2311yescharacteristic
118C2×C4⋊Dic3C2311yescharacteristic
119C2×Dic3⋊C4—21no—
120C2×Dic3⋊C4—21no—
121C2×Dic3⋊C4D411yescharacteristic
122C2×Dic3⋊C4D411yescharacteristic
123C2×C4×Dic3—21no—
124C2×C4×Dic3C2311yescharacteristic
125C22×C3⋊C8C2311yescharacteristic
126C22×C3⋊C8C2311yescharacteristic
127#892—41no—
128#892—41no—
129#872—22no—
130#872—22no—
131C3×#107—41no—
132C3×#103—41no—
133C3×#102—41no—
134C3×#97—22no—
135C3×#95—21no—
136C3×#95—21no—
137#835—41no—
138#832—22no—
139#832—22no—
140C3⋊#95—21no—
141C3⋊#95—21no—
142C3⋊#95—21no—
143C3⋊#95—21no—
144C3⋊#95—21no—
145#821—22no—
146#821—22no—
147(C2×D3)⋊C8—22no—
148(C2×D3)⋊C8D414yes—
149Dic3⋊C8—22no—
150Dic3⋊C8—22no—
151#809—41no—
152#808—41no—
153C4×C3⋊C8—22no—
154C23×D4—31no—
155C22×SD16—31no—
156C22×SD16C2×D311yescharacteristic
157C2×C22⋊Q8—31no—
158C2×#117—31no—
159C2×#117—31no—
160#450—64no—
161#433—64no—
162C2×#107C2×D311yescharacteristic, complemented
163C2×#106—31no—
164C2×C4⋊C8—31no—
165C2×C4⋊C8—31no—
166C2×#103—31no—
167C2×#103C2×D311yescharacteristic, complemented
168C2×#102—31no—
169C2×#102—31no—
170C2×#102—31no—
171C2×#102—31no—
172C2×#102—31no—
173C2×#102C2×D311yescharacteristic
174C2×C22⋊C8—31no—
175C2×C22⋊C8—31no—
176C2×#97C2×D311yescharacteristic, complemented
177C2×C4×C8—31no—
178#400—61no—
179#398—61no—
180#397—61no—
181#397—61no—
182#391—31no—
183#391C2×D311yescharacteristic, complemented
184#390—31no—
185#390—31no—
186#390—31no—
187#390—61no—
188#390—61no—
189#390C2×D311yescharacteristic
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—21no—
200C23×D3—21no—
201C23×D3—24no—
202C23×D3—42no—
203C23×D3—42no—
204C23×D3—81no—
205C23×D3—81no—
206C23×D3—81no—
207C23×D3—81no—
208C23×D3C2×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—21no—
216C2×C3×D4—21no—
217C2×C3×D4—21no—
218C2×C3×D4—21no—
219C2×C3×D4—21no—
220C2×C3×D4#4112yes—
221C22×C3×C4—21no—
222C22×C3×C4—21no—
223C22×C3×C4—21no—
224C22×C3×C4C2×D411yescharacteristic
225C22×C3×C4C2×D411yescharacteristic
226C22×C3×C4C2411yescharacteristic
227C2×#67—24no—
228C2×#67—42no—
229C2×#67—42no—
230C22×Dic3—21no—
231C22×Dic3—21no—
232C22×Dic3—21no—
233C22×Dic3C2×D411yescharacteristic
234C22×Dic3C2×D411yescharacteristic
235C22×Dic3C2×D411yescharacteristic
236D3×D4—44no—
237D3×D4—44no—
238D3×D4—44no—
239D3×D4—44no—
240C2×D12—21no—
241C2×D12—21no—
242C2×D12—21no—
243C2×D12—21no—
244C2×D12—21no—
245C2×D12#4112yes—
246C2×C4×D3—21no—
247C2×C4×D3—21no—
248C2×C4×D3—21no—
249C2×C4×D3—21no—
250C2×C4×D3C2×D412yes—
251C2×C4×D3#4112yes—
252C3×SD16—44no—
253C2×C3×C8—21no—
254C2×C3×C8—21no—
255C2×C3×C8—21no—
256C2×C3×C8—21no—
257C2×C3×C8—21no—
258C2×C3×C8C2×D412yes—
259C3×C4⋊C4—21no—
260C3×C4⋊C4—21no—
261C3×C4⋊C4—21no—
262C3×C4⋊C4—21no—
263C3×C22⋊C4—81no—
264C3×C22⋊C4—81no—
265C3×C42—21no—
266C3×C42—21no—
267#217—81no—
268#217—81no—
269#215—44no—
270(C2×D3)⋊C4—22no—
271(C2×D3)⋊C4—22no—
272(C2×D3)⋊C4—42no—
273(C2×D3)⋊C4—42no—
274(C2×D3)⋊C4—81no—
275(C2×D3)⋊C4—81no—
276(C2×D3)⋊C4—81no—
277(C2×D3)⋊C4—81no—
278(C2×D3)⋊C4—81no—
279C4⋊Dic3—21no—
280C4⋊Dic3—21no—
281C4⋊Dic3—21no—
282C4⋊Dic3—21no—
283C4⋊Dic3—21no—
284C4⋊Dic3—21no—
285C4⋊Dic3—81no—
286Dic3⋊C4—22no—
287Dic3⋊C4—22no—
288Dic3⋊C4—42no—
289Dic3⋊C4—81no—
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⋊C8C2×D412yes—
299C25—61no—
300C22×Q8C22×D311yescharacteristic
301C22×D4—31no—
302C22×D4—62no—
303C22×D4—62no—
304C22×D4—61no—
305C22×D4—62no—
306C22×D4—62no—
307C22×D4—121no—
308C22×D4—121no—
309C22×D4C22×D311yescharacteristic
310C23×C4—31no—
311C2×SD16—22no—
312C2×SD16—22no—
313C2×SD16—41no—
314C2×SD16—62no—
315C2×SD16—62no—
316C2×SD16—121no—
317C22×C8—31no—
318C22×C8—31no—
319C22×C8C22×D311yescharacteristic
320C22×C8C22×D311yescharacteristic
321C22⋊Q8—62no—
322C22⋊Q8—62no—
323#117—62no—
324#117—62no—
325#117—121no—
326#117—121no—
327C2×C4⋊C4—31no—
328C2×C4⋊C4—31no—
329C2×C4⋊C4—31no—
330C2×C4⋊C4—31no—
331C2×C4⋊C4—31no—
332C2×C4⋊C4—61no—
333C2×C4⋊C4—61no—
334C2×C4⋊C4—61no—
335C2×C4⋊C4C22×D311yescharacteristic
336C2×C4⋊C4C22×D311yescharacteristic
337C2×C22⋊C4—21no—
338C2×C22⋊C4—21no—
339C2×C22⋊C4—31no—
340C2×C22⋊C4—31no—
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—61no—
352C2×C42C22×D311yescharacteristic
353#107—41no—
354#106—121no—
355C4⋊C8—62no—
356C4⋊C8—62no—
357#103—41no—
358#103—121no—
359#102—41no—
360#102—62no—
361#102—62no—
362#102—62no—
363#102—62no—
364#102—121no—
365C22⋊C8—34no—
366C22⋊C8—62no—
367#97—22no—
368C4×C8—62no—
369#95—21no—
370#95—21no—
371#95—61no—
372#95—61no—
373#95—61no—
374#95—61no—
375#95—61no—
376C23×C3—22no—
377C23×C3—41no—
378C23×C3—41no—
379C23×C3—41no—
380C23×C3—41no—
381C23×C3—41no—
382C23×C3—41no—
383C23×C3C22×D411yescharacteristic
384C22×D3—21no—
385C22×D3—21no—
386C22×D3—21no—
387C22×D3—21no—
388C22×D3—21no—
389C22×D3—21no—
390C22×D3—22no—
391C22×D3—48no—
392C22×D3—41no—
393C22×D3—41no—
394C22×D3—41no—
395C22×D3—41no—
396C22×D3—41no—
397C22×D3—41no—
398C22×D3—84no—
399C22×D3—84no—
400C22×D3—84no—
401C22×D3—84no—
402C22×D3—84no—
403C22×D3—84no—
404C22×D3#12112yes—
405C3×Q8—41no—
406C3×Q8—41no—
407C3×Q8—41no—
408C3×Q8—41no—
409C3×D4—22no—
410C3×D4—22no—
411C3×D4—41no—
412C3×D4—41no—
413C2×C3×C4—21no—
414C2×C3×C4—21no—
415C2×C3×C4—21no—
416C2×C3×C4—21no—
417C2×C3×C4—21no—
418C2×C3×C4—21no—
419C2×C3×C4—41no—
420C2×C3×C4—41no—
421C2×C3×C4—41no—
422C2×C3×C4—41no—
423C2×C3×C4—41no—
424C2×C3×C4—41no—
425C2×C3×C4—41no—
426C2×C3×C4—41no—
427C2×C3×C4—41no—
428C2×C3×C4C22×D411yescharacteristic
429C2×C3×C4C2×#4111yescharacteristic
430C2×C3×C4C2×#4111yescharacteristic
431C2×C3×C4C2×#4111yescharacteristic
432C2×C3×C4H(5,𝔽2)11yescharacteristic
433C2×C3×C4H(5,𝔽2)11yescharacteristic
434#67—48no—
435C2×Dic3—21no—
436C2×Dic3—21no—
437C2×Dic3—21no—
438C2×Dic3—21no—
439C2×Dic3—21no—
440C2×Dic3—21no—
441C2×Dic3—21no—
442C2×Dic3—21no—
443C2×Dic3—41no—
444C2×Dic3—41no—
445C2×Dic3—41no—
446C2×Dic3—41no—
447C2×Dic3—41no—
448C2×Dic3—41no—
449C2×Dic3—41no—
450C2×Dic3—41no—
451C2×Dic3—41no—
452C2×Dic3#12112yes—
453D12—22no—
454D12—22no—
455D12—41no—
456D12—41no—
457C4×D3—22no—
458C4×D3—22no—
459C4×D3—22no—
460C4×D3—22no—
461C3×C8—22no—
462C3×C8—41no—
463C3⋊C8—22no—
464C3⋊C8—41no—
465C24—21no—
466C24—31no—
467C24—64no—
468C24—61no—
469C24—122no—
470C24—122no—
471C24—241no—
472C24—241no—
473C24—241no—
474C24—241no—
475C2×Q8—21no—
476C2×Q8—21no—
477C2×Q8—21no—
478C2×Q8—21no—
479C2×Q8—21no—
480C2×Q8—21no—
481C2×D4—21no—
482C2×D4—21no—
483C2×D4—21no—
484C2×D4—21no—
485C2×D4—21no—
486C2×D4—32no—
487C2×D4—64no—
488C2×D4—61no—
489C2×D4—61no—
490C2×D4—61no—
491C2×D4—61no—
492C2×D4—61no—
493C2×D4—122no—
494C2×D4—124no—
495C2×D4—124no—
496C2×D4—124no—
497C2×D4—124no—
498C2×D4—122no—
499C2×D4#23512yes—
500C22×C4—21no—
501C22×C4—21no—
502C22×C4—21no—
503C22×C4—31no—
504C22×C4—32no—
505C22×C4—32no—
506C22×C4—31no—
507C22×C4—31no—
508C22×C4—61no—
509C22×C4—61no—
510C22×C4—61no—
511C22×C4—61no—
512C22×C4—61no—
513C22×C4—61no—
514C22×C4—61no—
515C22×C4D3×D411yescharacteristic
516C22×C4D3×D411yescharacteristic
517C22×C4C23×D311yescharacteristic
518SD16—44no—
519SD16—124no—
520C2×C8—21no—
521C2×C8—21no—
522C2×C8—21no—
523C2×C8—21no—
524C2×C8—21no—
525C2×C8—32no—
526C2×C8—61no—
527C2×C8—61no—
528C2×C8—61no—
529C2×C8—61no—
530C2×C8—61no—
531C2×C8D3×D412yes—
532C4⋊C4—21no—
533C4⋊C4—21no—
534C4⋊C4—21no—
535C4⋊C4—21no—
536C4⋊C4—62no—
537C4⋊C4—62no—
538C4⋊C4—61no—
539C4⋊C4—61no—
540C4⋊C4—61no—
541C4⋊C4—61no—
542C4⋊C4—61no—
543C4⋊C4—61no—
544C4⋊C4—122no—
545C4⋊C4—241no—
546C4⋊C4—241no—
547C22⋊C4—62no—
548C22⋊C4—62no—
549C22⋊C4—81no—
550C22⋊C4—81no—
551C22⋊C4—122no—
552C22⋊C4—122no—
553C22⋊C4—241no—
554C22⋊C4—241no—
555C22⋊C4—241no—
556C22⋊C4—241no—
557C22⋊C4—241no—
558C22⋊C4—241no—
559C22⋊C4—241no—
560C42—21no—
561C42—21no—
562C42—61no—
563C42—61no—
564C42—122no—
565C22×C3—42no—
566C22×C3—42no—
567C22×C3—42no—
568C22×C3—81no—
569C22×C3—81no—
570C22×C3—81no—
571C22×C3—81no—
572C22×C3C2×#12111yescharacteristic
573C22×C3#52511yescharacteristic
574C22×C3#53511yescharacteristic
575C22×C3#57611yescharacteristic
576C22×C3#57711yescharacteristic
577C22×C3#57711yescharacteristic
578C22×C3#57711yescharacteristic
579C2×D3—22no—
580C2×D3—22no—
581C2×D3—22no—
582C2×D3—41no—
583C2×D3—41no—
584C2×D3—41no—
585C2×D3—41no—
586C2×D3—42no—
587C2×D3—42no—
588C2×D3—42no—
589C2×D3—816no—
590C2×D3—81no—
591C2×D3—81no—
592C2×D3—81no—
593C2×D3—81no—
594C3×C4—41no—
595C3×C4—41no—
596C3×C4—81no—
597C3×C4—81no—
598C3×C4—81no—
599C3×C4#54611yescharacteristic
600C3×C4#54611yescharacteristic
601C3×C4#55111yescharacteristic
602C3×C4#55111yescharacteristic
603Dic3—22no—
604Dic3—41no—
605Dic3—41no—
606Dic3—81no—
607Dic3—81no—
608Dic3—81no—
609C23—22no—
610C23—32no—
611C23—41no—
612C23—41no—
613C23—41no—
614C23—41no—
615C23—41no—
616C23—41no—
617C23—61no—
618C23—61no—
619C23—61no—
620C23—61no—
621C23—61no—
622C23—61no—
623C23—62no—
624C23—128no—
625C23—121no—
626C23—121no—
627C23—121no—
628C23—121no—
629C23—121no—
630C23—121no—
631C23—244no—
632C23—244no—
633C23—244no—
634C23—244no—
635C23—244no—
636C23—244no—
637C23C2×D3×D411yescharacteristic
638Q8—41no—
639Q8—41no—
640Q8—41no—
641Q8—41no—
642D4—22no—
643D4—22no—
644D4—41no—
645D4—41no—
646D4—62no—
647D4—62no—
648D4—128no—
649D4—121no—
650D4—121no—
651C2×C4—21no—
652C2×C4—21no—
653C2×C4—21no—
654C2×C4—21no—
655C2×C4—21no—
656C2×C4—21no—
657C2×C4—32no—
658C2×C4—41no—
659C2×C4—41no—
660C2×C4—41no—
661C2×C4—41no—
662C2×C4—41no—
663C2×C4—41no—
664C2×C4—41no—
665C2×C4—41no—
666C2×C4—41no—
667C2×C4—61no—
668C2×C4—61no—
669C2×C4—62no—
670C2×C4—62no—
671C2×C4—62no—
672C2×C4—62no—
673C2×C4—61no—
674C2×C4—61no—
675C2×C4—61no—
676C2×C4—61no—
677C2×C4—61no—
678C2×C4—61no—
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—121no—
688C2×C4C2×#23511yescharacteristic
689C2×C4C2×D3×D411yescharacteristic
690C2×C4#100411yescharacteristic
691C2×C4#100411yescharacteristic
692C2×C4D3×#4111yescharacteristic
693C2×C4D3×#4111yescharacteristic
694C8—22no—
695C8—41no—
696C8—62no—
697C8—121no—
698C2×C3—82no—
699C2×C3#241111yescharacteristic
700C2×C3#305711yescharacteristic
701C2×C3#306211yescharacteristic
702C2×C3#311811yescharacteristic
703C2×C3#312311yescharacteristic
704C2×C3#322211yescharacteristic
705C2×C3#322411yescharacteristic
706D3—42no—
707D3—82no—
708C22—42no—
709C22—42no—
710C22—42no—
711C22—62no—
712C22—62no—
713C22—62no—
714C22—81no—
715C22—81no—
716C22—81no—
717C22—81no—
718C22—121no—
719C22—121no—
720C22—121no—
721C22—121no—
722C22—122no—
723C22—122no—
724C22—122no—
725C22—2416no—
726C22—241no—
727C22—241no—
728C22—241no—
729C22—241no—
730C22#554711yescharacteristic
731C22D3×#12111yescharacteristic
732C22#571511yescharacteristic
733C22#577411yescharacteristic
734C22#577511yescharacteristic
735C22#577811yescharacteristic
736C22#577811yescharacteristic
737C4—41no—
738C4—41no—
739C4—62no—
740C4—81no—
741C4—81no—
742C4—81no—
743C4—121no—
744C4—121no—
745C4—241no—
746C4—241no—
747C4—241no—
748C4#549011yescharacteristic
749C4#555611yescharacteristic
750C4#561211yescharacteristic
751C4#567911yescharacteristic
752C3#2451611yescharacteristic, complemented, Sylow
753C2—82no—
754C2—122no—
755C2—242no—
756C2#7643711yescharacteristic
757C2#7978511yescharacteristic
758C2#7978711yescharacteristic
759C2#8080711yescharacteristic
760C2#8080911yescharacteristic
761C2#8185511yescharacteristic
762C2#8187811yescharacteristic
subgroupG/H
centerC23C2×D3×D4
commutator, cosocleC22×C3×C4C24
FrattiniC22×C4C23×D3
FittingC3×#1973C2
socleC23×C3C22×D4
prime radicalC22×D3×D4C22
hypercenter#1973D3
hypocenterC3#24516
LCSG ▷ C22×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C23 ◁ C2×C42 ◁ #1973

Complements

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

NH ≅ G/Ntype
2. C2×#4709C2semidirect
3. #76642C2semidirect
5. C3×#1973C2semidirect
6. #72051C2semidirect
7. #70639C2semidirect
8. #70633C2semidirect
9. #70280C2semidirect
10. #70269C2semidirect
12. #70193C2semidirect
13. #69818C2semidirect
14. #69676C2semidirect
15. #69644C2semidirect
23. C2×C3×#107C22semidirect
24. C2×C3×#103C22semidirect
26. C2×C3×#97C22semidirect
27. C3×#391C22semidirect
29. #5229C22semidirect
30. C2×#835C22semidirect
39. C2×Dic3⋊C8C22semidirect
40. C2×Dic3⋊C8C22semidirect
43. #4984C22semidirect
45. C2×#808C22semidirect
51. #4928C22semidirect
52. C2×C4×C3⋊C8C22semidirect
58. #4551C22semidirect
59. #4551C22semidirect
60. #4529C22semidirect
61. #4529C22semidirect
70. #1973D3semidirect
162. C2×#107C2×D3semidirect
167. C2×#103C2×D3semidirect
176. C2×#97C2×D3semidirect
183. #391C2×D3semidirect
752. C3#24516semidirect

Maximal subgroups

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

subgroupindex
C2×#51692
C2×#47092
#766422
#764282
C3×#19732
#720512
#706392
#706332
#702802
#702692
#701982
#701932
#698182
#696762
#696442
#245163