Finite Group Databasebeta

← #10834027

Subgroups — #10834027

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×#4840C211yesmaximal, characteristic, complemented
2C2×#4776C211yesmaximal, characteristic
3#76428C211yesmaximal, characteristic
4#76102C211yesmaximal, characteristic, complemented
5C3×#2065C211yesmaximal, characteristic, complemented
6#70580C211yesmaximal, characteristic, complemented
7#70574C211yesmaximal, characteristic, complemented
8#70482C211yesmaximal, characteristic, complemented
9#70198C211yesmaximal, characteristic
10#70192C211yesmaximal, characteristic, complemented
11#70186C211yesmaximal, characteristic, complemented
12#69651C211yesmaximal, characteristic, complemented
13#69630C211yesmaximal, characteristic, complemented
14#68879C211yesmaximal, characteristic, complemented
15#68856C211yesmaximal, characteristic, complemented
16#24516—31nomaximal, Sylow
17C22×D3×D4C2211yescharacteristic
18C22×#214C2211yescharacteristic
19C22×#204C2211yescharacteristic
20C2×#897C2211yescharacteristic
21C2×#892C2211yescharacteristic
22C2×#872C2211yescharacteristic
23C2×C3×#106C2211yescharacteristic, complemented
24C2×C3×C4⋊C8C2211yescharacteristic, complemented
25C2×C3×#102C2211yescharacteristic
26C2×C3×#102C2211yescharacteristic
27C3×#390C2211yescharacteristic
28C3×#389C2211yescharacteristic, complemented
29#5221C2211yescharacteristic
30C2×#832C2211yescharacteristic
31C2×#821C2211yescharacteristic
32C2×(C2×D3)⋊C8C2211yescharacteristic
33C2×(C2×D3)⋊C8C2211yescharacteristic
34C2×#816C2211yescharacteristic, complemented
35C2×#815C2211yescharacteristic, complemented
36C2×C8×Dic3C2211yescharacteristic, complemented
37#4992—21no—
38#4988C2211yescharacteristic
39#4987C2211yescharacteristic
40#4982—21no—
41#4973C2211yescharacteristic, complemented
42#4972C2211yescharacteristic, complemented
43C2×#810C2211yescharacteristic, complemented
44C2×#809C2211yescharacteristic
45C2×#809C2211yescharacteristic
46C2×#807C2211yescharacteristic, complemented
47#4957—21no—
48#4957—21no—
49#4955—21no—
50#4955—21no—
51#4939C2211yescharacteristic
52#4929C2211yescharacteristic, complemented
53C2×C4⋊(C3⋊C8)C2211yescharacteristic, complemented
54#4840—24no—
55#4776—24no—
56#4675—21no—
57#4660—21no—
58C3×#340C2211yescharacteristic, 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#2065D311yescharacteristic, complemented
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—
77C24×D3—21no—
78C22×C3×D4C2311yescharacteristic
79C22×#67—21no—
80C2×D3×D4—22no—
81C2×D3×D4—22no—
82C2×D3×D4—22no—
83C2×D3×D4—22no—
84C2×D3×D4—41no—
85C2×D3×D4—41no—
86C22×D12C2311yescharacteristic
87C22×C4×D3C2311yescharacteristic
88C22×Dic6C2311yescharacteristic
89C22×C3×C8C2311yescharacteristic
90C22×C3×C8C2311yescharacteristic
91C2×C3×C4⋊C4—21no—
92C2×C3×C4⋊C4C2311yescharacteristic
93C2×C3×C4⋊C4C2311yescharacteristic
94C2×C3×C4⋊C4C2311yescharacteristic
95C2×C3×C22⋊C4—21no—
96C2×C3×C22⋊C4—21no—
97C2×C3×C42C2311yescharacteristic
98C2×#217—21no—
99C2×#217—21no—
100C2×#214—22no—
101C2×#214—22no—
102C2×#214—41no—
103C2×(C2×D3)⋊C4—21no—
104C2×(C2×D3)⋊C4—21no—
105C2×(C2×D3)⋊C4—21no—
106C2×(C2×D3)⋊C4—21no—
107C2×(C2×D3)⋊C4—21no—
108C2×(C2×D3)⋊C4—21no—
109C2×(C2×D3)⋊C4—21no—
110C2×(C2×D3)⋊C4D411yescharacteristic
111C2×(C2×D3)⋊C4D411yescharacteristic
112C2×C4⋊Dic3—21no—
113C2×C4⋊Dic3C2311yescharacteristic
114C2×C4⋊Dic3C2311yescharacteristic
115C2×Dic3⋊C4—21no—
116C2×Dic3⋊C4D411yescharacteristic
117C2×Dic3⋊C4D411yescharacteristic
118C2×C4×Dic3—21no—
119C2×C4×Dic3C2311yescharacteristic
120C22×C3⋊C8C2311yescharacteristic
121C22×C3⋊C8C2311yescharacteristic
122C2×#204—22no—
123C2×#204—22no—
124C2×#204—41no—
125#897—22no—
126#897—22no—
127#892—41no—
128#892—41no—
129#872—22no—
130#872—22no—
131C3×#106—41no—
132C3×C4⋊C8—22no—
133C3×#102—22no—
134C3×#102—41no—
135C3×#95—21no—
136#832—22no—
137C3⋊#95—21no—
138C3⋊#95—21no—
139C3⋊#95—21no—
140C3⋊#95—21no—
141C3⋊#95—21no—
142C3⋊#95—21no—
143#821—22no—
144(C2×D3)⋊C8—22no—
145(C2×D3)⋊C8D414yes—
146#816—41no—
147#815—22no—
148C8×Dic3—22no—
149#810—41no—
150#809—22no—
151#809—41no—
152#807—41no—
153C4⋊(C3⋊C8)—22no—
154C23×D4—31no—
155C22×SD16—31no—
156C22×SD16—31no—
157C2×C22⋊Q8—31no—
158C2×#117—31no—
159C2×#117—31no—
160#450—64no—
161#433—64no—
162C2×#107—31no—
163C2×#106C2×D311yescharacteristic, complemented
164C2×C4⋊C8—31no—
165C2×C4⋊C8C2×D311yescharacteristic, complemented
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⋊C8—31no—
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—61no—
188#390—61no—
189#390C2×D311yescharacteristic
190#389—31no—
191#389C2×D311yescharacteristic, complemented
192#380—31no—
193#379—61no—
194#379—61no—
195#340—31no—
196#340—31no—
197#340—31no—
198#340C2×D311yescharacteristic, complemented
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×D4—21no—
210C2×C3×D4—21no—
211C2×C3×D4—21no—
212C2×C3×D4—21no—
213C2×C3×D4—21no—
214C2×C3×D4#4112yes—
215C22×C3×C4—21no—
216C22×C3×C4—21no—
217C22×C3×C4—21no—
218C22×C3×C4C2×D411yescharacteristic
219C22×C3×C4C2×D411yescharacteristic
220C22×C3×C4C2411yescharacteristic
221C2×#67—24no—
222C2×#67—42no—
223C2×#67—42no—
224C22×Dic3—21no—
225C22×Dic3—21no—
226C22×Dic3—21no—
227C22×Dic3C2×D411yescharacteristic
228C22×Dic3C2×D411yescharacteristic
229C22×Dic3C2×D411yescharacteristic
230D3×D4—44no—
231D3×D4—44no—
232D3×D4—44no—
233D3×D4—44no—
234C2×D12—21no—
235C2×D12—21no—
236C2×D12—21no—
237C2×D12—21no—
238C2×D12—21no—
239C2×D12#4112yes—
240C2×C4×D3—21no—
241C2×C4×D3—21no—
242C2×C4×D3—21no—
243C2×C4×D3—21no—
244C2×C4×D3C2×D412yes—
245C2×C4×D3#4112yes—
246C2×Dic6—21no—
247C2×Dic6—21no—
248C2×Dic6—21no—
249C2×Dic6—21no—
250C2×Dic6—21no—
251C2×Dic6—21no—
252C2×C3×C8—21no—
253C2×C3×C8—21no—
254C2×C3×C8—21no—
255C2×C3×C8—21no—
256C2×C3×C8—21no—
257C2×C3×C8C2×D412yes—
258C3×C4⋊C4—21no—
259C3×C4⋊C4—21no—
260C3×C4⋊C4—21no—
261C3×C4⋊C4—21no—
262C3×C4⋊C4—21no—
263C3×C4⋊C4—21no—
264C3×C4⋊C4—81no—
265C3×C22⋊C4—81no—
266C3×C22⋊C4—81no—
267C3×C42—21no—
268C3×C42—21no—
269#217—81no—
270#217—81no—
271#214—44no—
272(C2×D3)⋊C4—22no—
273(C2×D3)⋊C4—22no—
274(C2×D3)⋊C4—42no—
275(C2×D3)⋊C4—42no—
276(C2×D3)⋊C4—81no—
277(C2×D3)⋊C4—81no—
278(C2×D3)⋊C4—81no—
279(C2×D3)⋊C4—81no—
280(C2×D3)⋊C4—81no—
281C4⋊Dic3—21no—
282C4⋊Dic3—21no—
283C4⋊Dic3—21no—
284C4⋊Dic3—21no—
285C4⋊Dic3—42no—
286Dic3⋊C4—22no—
287Dic3⋊C4—22no—
288Dic3⋊C4—81no—
289C4×Dic3—21no—
290C4×Dic3—21no—
291C4×Dic3—42no—
292C2×C3⋊C8—21no—
293C2×C3⋊C8—21no—
294C2×C3⋊C8—21no—
295C2×C3⋊C8—21no—
296C2×C3⋊C8—21no—
297C2×C3⋊C8C2×D412yes—
298#204—44no—
299C25—61no—
300C22×Q8—31no—
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—62no—
312C2×SD16—62no—
313C2×SD16—62no—
314C2×SD16—62no—
315C2×SD16—121no—
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—21no—
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⋊C4C22×D311yescharacteristic
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—121no—
354#106—41no—
355C4⋊C8—22no—
356C4⋊C8—62no—
357#103—121no—
358#103—121no—
359#102—22no—
360#102—41no—
361#102—62no—
362#102—62no—
363#102—62no—
364#102—121no—
365C22⋊C8—34no—
366C22⋊C8—62no—
367#97—62no—
368C4×C8—62no—
369#95—21no—
370#95—61no—
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×D4—22no—
406C3×D4—22no—
407C3×D4—41no—
408C3×D4—41no—
409C2×C3×C4—21no—
410C2×C3×C4—21no—
411C2×C3×C4—21no—
412C2×C3×C4—21no—
413C2×C3×C4—21no—
414C2×C3×C4—21no—
415C2×C3×C4—41no—
416C2×C3×C4—41no—
417C2×C3×C4—41no—
418C2×C3×C4—41no—
419C2×C3×C4—41no—
420C2×C3×C4—41no—
421C2×C3×C4—41no—
422C2×C3×C4—41no—
423C2×C3×C4—41no—
424C2×C3×C4C22×D411yescharacteristic
425C2×C3×C4C2×#4111yescharacteristic
426C2×C3×C4C2×#4111yescharacteristic
427C2×C3×C4C2×#4111yescharacteristic
428C2×C3×C4H(5,𝔽2)11yescharacteristic
429C2×C3×C4H(5,𝔽2)11yescharacteristic
430#67—48no—
431C2×Dic3—21no—
432C2×Dic3—21no—
433C2×Dic3—21no—
434C2×Dic3—21no—
435C2×Dic3—21no—
436C2×Dic3—21no—
437C2×Dic3—21no—
438C2×Dic3—21no—
439C2×Dic3—41no—
440C2×Dic3—41no—
441C2×Dic3—41no—
442C2×Dic3—41no—
443C2×Dic3—41no—
444C2×Dic3—41no—
445C2×Dic3—41no—
446C2×Dic3—41no—
447C2×Dic3—41no—
448C2×Dic3#12112yes—
449D12—22no—
450D12—22no—
451D12—41no—
452D12—41no—
453C4×D3—22no—
454C4×D3—22no—
455C4×D3—22no—
456C4×D3—22no—
457Dic6—41no—
458Dic6—41no—
459Dic6—41no—
460Dic6—41no—
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—61no—
476C2×Q8—61no—
477C2×Q8—61no—
478C2×Q8—61no—
479C2×Q8—61no—
480C2×Q8—61no—
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#23912yes—
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—124no—
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—21no—
537C4⋊C4—21no—
538C4⋊C4—62no—
539C4⋊C4—62no—
540C4⋊C4—61no—
541C4⋊C4—61no—
542C4⋊C4—61no—
543C4⋊C4—61no—
544C4⋊C4—81no—
545C4⋊C4—122no—
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—121no—
639Q8—121no—
640Q8—121no—
641Q8—121no—
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×D3×D411yescharacteristic
689C2×C4#100411yescharacteristic
690C2×C4C2×#23911yescharacteristic
691C2×C4D3×#4111yescharacteristic
692C2×C4D3×#4111yescharacteristic
693C2×C4#100911yescharacteristic
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—
730C22D3×#12111yescharacteristic
731C22#560711yescharacteristic
732C22#562711yescharacteristic
733C22#576211yescharacteristic
734C22#577011yescharacteristic
735C22#577411yescharacteristic
736C22#577511yescharacteristic
737C4—41no—
738C4—41no—
739C4—62no—
740C4—81no—
741C4—81no—
742C4—81no—
743C4—121no—
744C4—121no—
745C4—241no—
746C4—241no—
747C4—241no—
748C4#561011yescharacteristic
749C4#563011yescharacteristic
750C4#563711yescharacteristic
751C4#570511yescharacteristic
752C3#2451611yescharacteristic, complemented, Sylow
753C2—82no—
754C2—122no—
755C2—242no—
756C2#7741411yescharacteristic
757C2#8039111yescharacteristic
758C2#8054611yescharacteristic
759C2#8065911yescharacteristic
760C2#8086711yescharacteristic
761C2#8104811yescharacteristic
762C2#8114711yescharacteristic
subgroupG/H
centerC23C2×D3×D4
commutator, cosocleC22×C3×C4C24
FrattiniC22×C4C23×D3
FittingC3×#2065C2
socleC23×C3C22×D4
prime radicalC22×D3×D4C22
hypercenter#2065D3
hypocenterC3#24516
LCSG ▷ C22×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C23 ◁ C2×C42 ◁ #2065

Complements

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

NH ≅ G/Ntype
1. C2×#4840C2semidirect
4. #76102C2semidirect
5. C3×#2065C2semidirect
6. #70580C2semidirect
7. #70574C2semidirect
8. #70482C2semidirect
10. #70192C2semidirect
11. #70186C2semidirect
12. #69651C2semidirect
13. #69630C2semidirect
14. #68879C2semidirect
15. #68856C2semidirect
23. C2×C3×#106C22semidirect
24. C2×C3×C4⋊C8C22semidirect
28. C3×#389C22semidirect
34. C2×#816C22semidirect
35. C2×#815C22semidirect
36. C2×C8×Dic3C22semidirect
41. #4973C22semidirect
42. #4972C22semidirect
43. C2×#810C22semidirect
46. C2×#807C22semidirect
52. #4929C22semidirect
53. C2×C4⋊(C3⋊C8)C22semidirect
58. C3×#340C22semidirect
59. #4551C22semidirect
60. #4529C22semidirect
61. #4529C22semidirect
67. #2065D3semidirect
163. C2×#106C2×D3semidirect
165. C2×C4⋊C8C2×D3semidirect
191. #389C2×D3semidirect
198. #340C2×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×#48402
C2×#47762
#764282
#761022
C3×#20652
#705802
#705742
#704822
#701982
#701922
#701862
#696512
#696302
#688792
#688562
#245163