Finite Group Databasebeta

← #10834026

Subgroups — #10834026

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×#433C211yesmaximal, characteristic, complemented
2#82269C211yesmaximal, characteristic
3#82263C211yesmaximal, characteristic, complemented
4C2×#4731C211yesmaximal, characteristic
5#70484C211yesmaximal, characteristic, complemented
6#70483C211yesmaximal, characteristic, complemented
7#70482C211yesmaximal, characteristic, complemented
8#70482C211yesmaximal, characteristic, complemented
9#69959C211yesmaximal, characteristic
10#69931C211yesmaximal, characteristic, complemented
11#69929C211yesmaximal, characteristic, complemented
12#69826C211yesmaximal, characteristic, complemented
13#69818C211yesmaximal, characteristic, complemented
14#69774C211yesmaximal, characteristic, complemented
15#69768C211yesmaximal, characteristic, complemented
16#24516—31nomaximal, Sylow
17C23×D12C2211yescharacteristic
18C2×C3×#117C2211yescharacteristic
19C2×#926C2211yescharacteristic
20C2×#924C2211yescharacteristic
21C22×#204C2211yescharacteristic
22C22×#204C2211yescharacteristic
23C3×#433—24no—
24C2×C3×C4⋊C8C2211yescharacteristic, complemented
25C2×C3×C4⋊C8C2211yescharacteristic, complemented
26C2×C3×C22⋊C8C2211yescharacteristic
27C2×C3×C22⋊C8C2211yescharacteristic
28C2×C3×#97C2211yescharacteristic, complemented
29C2×C3×C4×C8C2211yescharacteristic, complemented
30#5212C2211yescharacteristic
31C2×#821C2211yescharacteristic
32C2×#821C2211yescharacteristic
33C2×#821C2211yescharacteristic
34C2×#821C2211yescharacteristic
35C2×#821C2211yescharacteristic
36C2×#821C2211yescharacteristic
37C2×#818C2211yescharacteristic, complemented
38C2×#817C2211yescharacteristic, complemented
39C2×#816C2211yescharacteristic, complemented
40C2×#816C2211yescharacteristic, complemented
41#4988—21no—
42#4988—21no—
43#4985—21no—
44#4983—21no—
45#4955—21no—
46#4955—21no—
47#4952—21no—
48#4952—21no—
49#4939C2211yescharacteristic
50#4939C2211yescharacteristic
51#4939C2211yescharacteristic
52#4939C2211yescharacteristic
53#4929C2211yescharacteristic, complemented
54#4929C2211yescharacteristic, complemented
55#4928C2211yescharacteristic, complemented
56#4928C2211yescharacteristic, complemented
57#4731—24no—
58#4551C2211yescharacteristic, complemented
59#4551C2211yescharacteristic, complemented
60#4551C2211yescharacteristic, complemented
61#4551C2211yescharacteristic, complemented
62C2×#450—31no—
63C2×#433D311yescharacteristic, complemented
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—
77C24×D3—21no—
78C23×C3×C4C2311yescharacteristic
79C22×D12—21no—
80C22×D12—22no—
81C22×D12—22no—
82C22×D12—22no—
83C22×D12—22no—
84C22×D12—41no—
85C22×D12—41no—
86C22×D12C2311yescharacteristic
87C22×D12C2311yescharacteristic
88C22×Dic6C2311yescharacteristic
89C22×C3×C8C2311yescharacteristic
90C22×C3×C8C2311yescharacteristic
91C22×C3×C8C2311yescharacteristic
92C22×C3×C8C2311yescharacteristic
93C3×#117—22no—
94C3×#117—22no—
95C2×C3×C4⋊C4D411yescharacteristic
96C2×C3×C4⋊C4D411yescharacteristic
97C2×C3×C22⋊C4D411yescharacteristic
98C2×C3×C22⋊C4D411yescharacteristic
99C2×C3×C42C2311yescharacteristic
100C2×C3×C42C2311yescharacteristic
101C2×#217—21no—
102C2×#217—21no—
103C2×#217—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)⋊C4—21no—
111C2×(C2×D3)⋊C4—21no—
112#926—41no—
113#926—41no—
114C2×C4⋊Dic3C2311yescharacteristic
115C2×C4⋊Dic3C2311yescharacteristic
116C2×C4⋊Dic3C2311yescharacteristic
117C2×C4⋊Dic3C2311yescharacteristic
118C2×C4⋊Dic3C2311yescharacteristic
119#924—22no—
120#924—22no—
121C2×Dic3⋊C4—21no—
122C2×Dic3⋊C4—21no—
123C2×Dic3⋊C4—21no—
124C2×C4×Dic3—21no—
125C2×#204—22no—
126C2×#204—22no—
127C2×#204—22no—
128C2×#204—22no—
129C2×#204—41no—
130C2×#204—41no—
131C3×C4⋊C8—22no—
132C3×C4⋊C8—22no—
133C3×C22⋊C8—22no—
134C3×C22⋊C8D414yes—
135C3×#97—22no—
136C3×C4×C8—22no—
137C3⋊#95—21no—
138C3⋊#95—21no—
139C3⋊#95—21no—
140C3⋊#95—21no—
141C3⋊#95—21no—
142C3⋊#95—21no—
143C3⋊#95—21no—
144#821—22no—
145#821—22no—
146#821—22no—
147#821—22no—
148#821—41no—
149#821—41no—
150#818—41no—
151#817—41no—
152#816—41no—
153#816—41no—
154C23×D4—31no—
155C22×SD16—31no—
156C22×SD16—31no—
157C2×C22⋊Q8—31no—
158C2×#117—31no—
159C2×#117C2×D311yescharacteristic
160#450—64no—
161#433—24no—
162C2×#107—31no—
163C2×#106—31no—
164C2×C4⋊C8C2×D311yescharacteristic, complemented
165C2×C4⋊C8C2×D311yescharacteristic, complemented
166C2×#103—31no—
167C2×#103—31no—
168C2×#102—31no—
169C2×#102—31no—
170C2×#102—31no—
171C2×#102—31no—
172C2×#102—31no—
173C2×#102—31no—
174C2×C22⋊C8C2×D311yescharacteristic
175C2×C22⋊C8C2×D311yescharacteristic
176C2×#97C2×D311yescharacteristic, complemented
177C2×C4×C8C2×D311yescharacteristic, complemented
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×C3C2×D411yescharacteristic
200C23×D3—21no—
201C23×D3—21no—
202C23×D3—24no—
203C23×D3—42no—
204C23×D3—42no—
205C23×D3—81no—
206C23×D3—81no—
207C23×D3—81no—
208C23×D3—81no—
209C22×C3×C4—21no—
210C22×C3×C4—21no—
211C22×C3×C4—21no—
212C22×C3×C4—21no—
213C22×C3×C4C2×D411yescharacteristic
214C22×C3×C4C2×D411yescharacteristic
215C22×C3×C4C2×D411yescharacteristic
216C22×C3×C4C2×D411yescharacteristic
217C22×C3×C4C2×D411yescharacteristic
218C22×C3×C4C2×D412yes—
219C22×C3×C4#4112yes—
220C22×C3×C4C2411yescharacteristic
221C22×Dic3—21no—
222C22×Dic3—21no—
223C22×Dic3—21no—
224C22×Dic3—21no—
225C22×Dic3—21no—
226C22×Dic3—21no—
227C2×D12—21no—
228C2×D12—21no—
229C2×D12—21no—
230C2×D12—21no—
231C2×D12—21no—
232C2×D12—21no—
233C2×D12—21no—
234C2×D12—21no—
235C2×D12—24no—
236C2×D12—21no—
237C2×D12—21no—
238C2×D12—44no—
239C2×D12—44no—
240C2×D12—44no—
241C2×D12—44no—
242C2×D12—42no—
243C2×D12—42no—
244C2×D12#4112yes—
245C2×D12#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×C8—21no—
258C2×C3×C8—21no—
259C2×C3×C8—21no—
260C2×C3×C8—21no—
261C2×C3×C8—21no—
262C2×C3×C8C2×D412yes—
263C2×C3×C8C2×D412yes—
264C3×C4⋊C4—22no—
265C3×C4⋊C4—22no—
266C3×C22⋊C4—22no—
267C3×C22⋊C4—22no—
268C3×C42—21no—
269C3×C42—21no—
270C3×C42—21no—
271C3×C42—21no—
272#217—42no—
273#217—42no—
274#217—81no—
275(C2×D3)⋊C4—81no—
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—
281(C2×D3)⋊C4—81no—
282(C2×D3)⋊C4—81no—
283C4⋊Dic3—21no—
284C4⋊Dic3—21no—
285C4⋊Dic3—21no—
286C4⋊Dic3—21no—
287C4⋊Dic3—21no—
288C4⋊Dic3—21no—
289C4⋊Dic3—21no—
290C4⋊Dic3—21no—
291C4⋊Dic3—21no—
292C4⋊Dic3—21no—
293Dic3⋊C4—42no—
294Dic3⋊C4—81no—
295Dic3⋊C4—81no—
296C4×Dic3—42no—
297#204—44no—
298#204—44no—
299C25—61no—
300C22×Q8—31no—
301C22×D4—31no—
302C22×D4—31no—
303C22×D4—62no—
304C22×D4—62no—
305C22×D4—61no—
306C22×D4—62no—
307C22×D4—62no—
308C22×D4—121no—
309C22×D4—121no—
310C23×C4C22×D311yescharacteristic
311C2×SD16—62no—
312C2×SD16—62no—
313C2×SD16—62no—
314C2×SD16—62no—
315C2×SD16—121no—
316C2×SD16—121no—
317C22×C8C22×D311yescharacteristic
318C22×C8C22×D311yescharacteristic
319C22×C8C22×D311yescharacteristic
320C22×C8C22×D311yescharacteristic
321C22⋊Q8—62no—
322C22⋊Q8—62no—
323#117—22no—
324#117—22no—
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⋊C4D1211yescharacteristic
336C2×C4⋊C4D1211yescharacteristic
337C2×C22⋊C4—61no—
338C2×C22⋊C4—61no—
339C2×C22⋊C4—61no—
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⋊C4D1211yescharacteristic
349C2×C22⋊C4D1211yescharacteristic
350C2×C42—61no—
351C2×C42C22×D311yescharacteristic
352C2×C42C22×D311yescharacteristic
353#107—121no—
354#106—121no—
355C4⋊C8—22no—
356C4⋊C8—22no—
357#103—121no—
358#103—121no—
359#102—62no—
360#102—62no—
361#102—62no—
362#102—62no—
363#102—121no—
364#102—121no—
365C22⋊C8—22no—
366C22⋊C8#6714yes—
367#97—22no—
368C4×C8—22no—
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#12112yes—
383C23×C3C22×D411yescharacteristic
384C22×D3—22no—
385C22×D3—22no—
386C22×D3—48no—
387C22×D3—41no—
388C22×D3—41no—
389C22×D3—41no—
390C22×D3—41no—
391C22×D3—41no—
392C22×D3—41no—
393C22×D3—41no—
394C22×D3—41no—
395C22×D3—41no—
396C22×D3—41no—
397C22×D3—41no—
398C22×D3—41no—
399C22×D3—84no—
400C22×D3—84no—
401C22×D3—84no—
402C22×D3—84no—
403C22×D3—84no—
404C22×D3—84no—
405C2×C3×C4—21no—
406C2×C3×C4—21no—
407C2×C3×C4—22no—
408C2×C3×C4—22no—
409C2×C3×C4—22no—
410C2×C3×C4—22no—
411C2×C3×C4—21no—
412C2×C3×C4—21no—
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—21no—
420C2×C3×C4—21no—
421C2×C3×C4—21no—
422C2×C3×C4—21no—
423C2×C3×C4#12112yes—
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
430C2×Dic3—41no—
431C2×Dic3—41no—
432C2×Dic3—41no—
433C2×Dic3—41no—
434C2×Dic3—41no—
435C2×Dic3—41no—
436C2×Dic3—41no—
437C2×Dic3—41no—
438C2×Dic3—41no—
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—
448D12—22no—
449D12—22no—
450D12—22no—
451D12—22no—
452D12—48no—
453D12—41no—
454D12—41no—
455D12—41no—
456D12—41no—
457Dic6—41no—
458Dic6—41no—
459Dic6—41no—
460Dic6—41no—
461C3×C8—22no—
462C3×C8—22no—
463C3×C8—41no—
464C3×C8—41no—
465C24—64no—
466C24—61no—
467C24—61no—
468C24—122no—
469C24—122no—
470C24—241no—
471C24—241no—
472C24—241no—
473C24—241no—
474C24C2×D1211yescharacteristic
475C2×Q8—61no—
476C2×Q8—61no—
477C2×Q8—61no—
478C2×Q8—61no—
479C2×Q8—61no—
480C2×Q8—61no—
481C2×D4—32no—
482C2×D4—32no—
483C2×D4—64no—
484C2×D4—61no—
485C2×D4—61no—
486C2×D4—61no—
487C2×D4—61no—
488C2×D4—61no—
489C2×D4—61no—
490C2×D4—61no—
491C2×D4—61no—
492C2×D4—61no—
493C2×D4—61no—
494C2×D4—124no—
495C2×D4—124no—
496C2×D4—124no—
497C2×D4—124no—
498C2×D4—122no—
499C2×D4—122no—
500C22×C4—21no—
501C22×C4—21no—
502C22×C4—21no—
503C22×C4—21no—
504C22×C4—61no—
505C22×C4—61no—
506C22×C4—61no—
507C22×C4—61no—
508C22×C4—61no—
509C22×C4—61no—
510C22×C4C2×D1211yescharacteristic
511C22×C4C2×D1211yescharacteristic
512C22×C4C2×D1211yescharacteristic
513C22×C4C2×D1211yescharacteristic
514C22×C4C2×D1211yescharacteristic
515C22×C4#23512yes—
516C22×C4C2×#6712yes—
517C22×C4C23×D311yescharacteristic
518SD16—124no—
519SD16—124no—
520C2×C8—21no—
521C2×C8—21no—
522C2×C8—21no—
523C2×C8—21no—
524C2×C8—21no—
525C2×C8—21no—
526C2×C8—21no—
527C2×C8—21no—
528C2×C8—21no—
529C2×C8—21no—
530C2×C8C2×#6712yes—
531C2×C8C2×#6712yes—
532C4⋊C4—22no—
533C4⋊C4—22no—
534C4⋊C4—61no—
535C4⋊C4—61no—
536C4⋊C4—61no—
537C4⋊C4—61no—
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—22no—
548C22⋊C4—22no—
549C22⋊C4—122no—
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—21no—
561C42—21no—
562C42—21no—
563C42—21no—
564C42—122no—
565C22×C3—22no—
566C22×C3—22no—
567C22×C3—22no—
568C22×C3—41no—
569C22×C3—41no—
570C22×C3—41no—
571C22×C3—41no—
572C22×C3C2×#12111yescharacteristic
573C22×C3#52511yescharacteristic
574C22×C3#53511yescharacteristic
575C22×C3#57611yescharacteristic
576C22×C3#57711yescharacteristic
577C22×C3#57711yescharacteristic
578C22×C3#57711yescharacteristic
579C2×D3—42no—
580C2×D3—42no—
581C2×D3—42no—
582C2×D3—42no—
583C2×D3—42no—
584C2×D3—42no—
585C2×D3—816no—
586C2×D3—81no—
587C2×D3—81no—
588C2×D3—81no—
589C2×D3—81no—
590C2×D3—81no—
591C2×D3—81no—
592C2×D3—81no—
593C2×D3—81no—
594C3×C4—22no—
595C3×C4—41no—
596C3×C4—41no—
597C3×C4—41no—
598C3×C4—41no—
599C3×C4#54611yescharacteristic
600C3×C4#54611yescharacteristic
601C3×C4#55111yescharacteristic
602C3×C4#55111yescharacteristic
603Dic3—81no—
604Dic3—81no—
605Dic3—81no—
606Dic3—81no—
607Dic3—81no—
608Dic3—81no—
609C23—21no—
610C23—21no—
611C23—21no—
612C23—21no—
613C23—21no—
614C23—21no—
615C23—62no—
616C23—62no—
617C23—128no—
618C23—121no—
619C23—121no—
620C23—121no—
621C23—121no—
622C23—121no—
623C23—121no—
624C23—121no—
625C23—121no—
626C23—121no—
627C23—121no—
628C23—121no—
629C23—121no—
630C23—244no—
631C23—244no—
632C23—244no—
633C23—244no—
634C23—244no—
635C23—244no—
636C23#93012yes—
637C23C22×D1211yescharacteristic
638Q8—121no—
639Q8—121no—
640Q8—121no—
641Q8—121no—
642D4—62no—
643D4—62no—
644D4—62no—
645D4—62no—
646D4—128no—
647D4—121no—
648D4—121no—
649D4—121no—
650D4—121no—
651C2×C4—21no—
652C2×C4—21no—
653C2×C4—22no—
654C2×C4—22no—
655C2×C4—22no—
656C2×C4—22no—
657C2×C4—21no—
658C2×C4—21no—
659C2×C4—21no—
660C2×C4—21no—
661C2×C4—21no—
662C2×C4—21no—
663C2×C4—21no—
664C2×C4—21no—
665C2×C4—21no—
666C2×C4—21no—
667C2×C4—21no—
668C2×C4—21no—
669C2×C4—121no—
670C2×C4—121no—
671C2×C4—121no—
672C2×C4—121no—
673C2×C4—121no—
674C2×C4—121no—
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#93012yes—
688C2×C4C2×#23511yescharacteristic
689C2×C4D3×#4111yescharacteristic
690C2×C4D3×#4111yescharacteristic
691C2×C4#100911yescharacteristic
692C2×C4#100911yescharacteristic
693C2×C4C22×#6711yescharacteristic
694C8—22no—
695C8—22no—
696C8—41no—
697C8—41no—
698C2×C3—42no—
699C2×C3#241111yescharacteristic
700C2×C3#305711yescharacteristic
701C2×C3#306211yescharacteristic
702C2×C3#311811yescharacteristic
703C2×C3#312311yescharacteristic
704C2×C3#322211yescharacteristic
705C2×C3#322411yescharacteristic
706D3—82no—
707D3—82no—
708C22—22no—
709C22—22no—
710C22—22no—
711C22—41no—
712C22—41no—
713C22—41no—
714C22—41no—
715C22—122no—
716C22—122no—
717C22—122no—
718C22—122no—
719C22—122no—
720C22—122no—
721C22—2416no—
722C22—241no—
723C22—241no—
724C22—241no—
725C22—241no—
726C22—241no—
727C22—241no—
728C22—241no—
729C22—241no—
730C22#552411yescharacteristic
731C22#552511yescharacteristic
732C22#575111yescharacteristic
733C22#575111yescharacteristic
734C22#575111yescharacteristic
735C22#575211yescharacteristic
736C22C2×#93011yescharacteristic
737C4—22no—
738C4—41no—
739C4—41no—
740C4—41no—
741C4—41no—
742C4—241no—
743C4—241no—
744C4—241no—
745C4—241no—
746C4—241no—
747C4—241no—
748C4#552711yescharacteristic
749C4#552711yescharacteristic
750C4#582911yescharacteristic
751C4#582911yescharacteristic
752C3#2451611yescharacteristic, complemented, Sylow
753C2—42no—
754C2—242no—
755C2—242no—
756C2#7938311yescharacteristic
757C2#7938711yescharacteristic
758C2#7939111yescharacteristic
759C2#7939211yescharacteristic
760C2#8227511yescharacteristic
761C2#8379811yescharacteristic
762C2#8380211yescharacteristic
subgroupG/H
centerC23C22×D12
commutator, cosocleC22×C3×C4C24
FrattiniC22×C4C23×D3
FittingC2×C3×#433C2
socleC23×C3C22×D4
prime radicalC23×D12C22
hypercenterC2×#433D3
hypocenterC3#24516
LCSG ▷ C22×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C23 ◁ C2×#117 ◁ C2×#433

Complements

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

NH ≅ G/Ntype
1. C2×C3×#433C2semidirect
3. #82263C2semidirect
5. #70484C2semidirect
6. #70483C2semidirect
7. #70482C2semidirect
8. #70482C2semidirect
10. #69931C2semidirect
11. #69929C2semidirect
12. #69826C2semidirect
13. #69818C2semidirect
14. #69774C2semidirect
15. #69768C2semidirect
24. C2×C3×C4⋊C8C22semidirect
25. C2×C3×C4⋊C8C22semidirect
28. C2×C3×#97C22semidirect
29. C2×C3×C4×C8C22semidirect
37. C2×#818C22semidirect
38. C2×#817C22semidirect
39. C2×#816C22semidirect
40. C2×#816C22semidirect
53. #4929C22semidirect
54. #4929C22semidirect
55. #4928C22semidirect
56. #4928C22semidirect
58. #4551C22semidirect
59. #4551C22semidirect
60. #4551C22semidirect
61. #4551C22semidirect
63. C2×#433D3semidirect
164. C2×C4⋊C8C2×D3semidirect
165. C2×C4⋊C8C2×D3semidirect
176. C2×#97C2×D3semidirect
177. C2×C4×C8C2×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×C3×#4332
#822692
#822632
C2×#47312
#704842
#704832
#704822
#699592
#699312
#699292
#698262
#698182
#697742
#697682
#245163