Finite Group Databasebeta

← #10846080

Subgroups — #10846080

Order 768.

984 conjugacy classes of subgroups.

The subgroup lattice has 754 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C3×#435C211yesmaximal, characteristic
2C2×#5137C211yesmaximal, characteristic, complemented
3C2×#5116C211yesmaximal, characteristic, complemented
4#82379C211yesmaximal, characteristic
5#82375C211yesmaximal, characteristic
6C2×#4849C211yesmaximal, characteristic, complemented
7#71989C211yesmaximal, characteristic, complemented
8#71972C211yesmaximal, characteristic, complemented
9#70455C211yesmaximal, characteristic, complemented
10#69964C211yesmaximal, characteristic, complemented
11#69964C211yesmaximal, characteristic, complemented
12#69937C211yesmaximal, characteristic, complemented
13#69936C211yesmaximal, characteristic, complemented
14#69822C211yesmaximal, characteristic, complemented
15#69813C211yesmaximal, characteristic, complemented
16#25398—31nomaximal, Sylow
17C22×C3×M16C2211yescharacteristic
18C23×C3×C8C2211yescharacteristic
19C2×C3×C4×D4C2211yescharacteristic
20C2×#924C2211yescharacteristic
21C2×#924C2211yescharacteristic
22C2×#924C2211yescharacteristic
23C2×#924C2211yescharacteristic
24C2×#924C2211yescharacteristic
25C2×#924C2211yescharacteristic
26C22×Dic12C2211yescharacteristic
27C22×Dic12C2211yescharacteristic
28C2×#869C2211yescharacteristic
29C2×C4×Dic6C2211yescharacteristic
30C3×#435—24no—
31C2×C3×C4⋊C8C2211yescharacteristic
32C2×C3×C22⋊C8C2211yescharacteristic
33C2×C3×C22⋊C8C2211yescharacteristic
34C2×C3×#97C2211yescharacteristic
35#5222—21no—
36#5221—21no—
37#5212C2211yescharacteristic
38#5212C2211yescharacteristic
39#5137—24no—
40#5116—24no—
41C2×#818C2211yescharacteristic
42C2×#817C2211yescharacteristic
43C2×#816C2211yescharacteristic
44C2×#816C2211yescharacteristic
45C2×#816C2211yescharacteristic
46C2×#816C2211yescharacteristic
47C2×#816C2211yescharacteristic
48C2×#816C2211yescharacteristic
49C2×#816C2211yescharacteristic
50C2×#816C2211yescharacteristic
51#4983—21no—
52#4975—21no—
53#4949—21no—
54#4949—21no—
55#4944—21no—
56#4944—21no—
57#4936C2211yescharacteristic
58C4×C4⋊Dic3C2211yescharacteristic
59#4849—24no—
60#4551C2211yescharacteristic
61#4551C2211yescharacteristic
62#4551C2211yescharacteristic
63#4551C2211yescharacteristic
64C2×#470—31no—
65C2×#467—31no—
66C2×#462—31no—
67C2×#435D311yescharacteristic
68#2542—31no—
69#2536—31no—
70#2036—31no—
71#2035—31no—
72#2001—31no—
73#2001—31no—
74#1960—31no—
75#1949—31no—
76#1894—31no—
77#1892—31no—
78#1763—31no—
79C22×C3×D4D411yescharacteristic
80C23×C3×C4C2311yescharacteristic
81C23×C3×C4C2311yescharacteristic
82C22×Dic6C2311yescharacteristic
83C22×Dic6C2311yescharacteristic
84C22×Dic6C2311yescharacteristic
85C2×C3×M16—22no—
86C2×C3×M16—22no—
87C2×C3×M16—41no—
88C22×C3×C8—22no—
89C22×C3×C8—22no—
90C22×C3×C8—41no—
91C22×C3×C8C2311yescharacteristic
92C22×C3×C8C2311yescharacteristic
93C22×C3×C8C2311yescharacteristic
94C22×C3×C8C2311yescharacteristic
95C3×C4×D4—22no—
96C3×C4×D4—22no—
97C2×C3×C4⋊C4D411yescharacteristic
98C2×C3×C22⋊C4D411yescharacteristic
99C2×C3×C22⋊C4D411yescharacteristic
100C2×C3×C42C2311yescharacteristic
101C2×#217—21no—
102C2×#217—21no—
103C2×#217—21no—
104C2×#217—21no—
105C2×#217—21no—
106C2×#217—21no—
107C2×#217—21no—
108C2×#217—21no—
109C2×C4⋊Dic3—21no—
110C2×C4⋊Dic3—21no—
111C2×C4⋊Dic3C2311yescharacteristic
112C2×C4⋊Dic3C2311yescharacteristic
113C2×C4⋊Dic3C2311yescharacteristic
114C2×C4⋊Dic3C2311yescharacteristic
115C2×C4⋊Dic3C2311yescharacteristic
116#924—22no—
117#924—22no—
118#924—22no—
119#924—22no—
120#924—22no—
121#924—22no—
122#924—41no—
123#924—41no—
124#924—41no—
125#924—41no—
126#924—41no—
127#924—41no—
128C2×Dic3⋊C4—21no—
129C2×Dic3⋊C4—21no—
130C2×Dic3⋊C4—21no—
131C2×Dic3⋊C4—21no—
132C2×Dic3⋊C4—21no—
133C2×Dic3⋊C4—21no—
134C2×Dic3⋊C4—21no—
135C2×C4×Dic3—21no—
136C2×C4×Dic3—21no—
137C2×Dic12—22no—
138C2×Dic12—22no—
139C2×Dic12—22no—
140C2×Dic12—22no—
141C2×Dic12—41no—
142C2×Dic12—41no—
143#869—22no—
144#869—22no—
145C4×Dic6—22no—
146C4×Dic6—22no—
147C3×C4⋊C8D414yes—
148C3×C22⋊C8—22no—
149C3×C22⋊C8—22no—
150C3×#97—22no—
151C3⋊#95—21no—
152C3⋊#95—21no—
153C3⋊#95—21no—
154C3⋊#95—21no—
155C3⋊#95—21no—
156#818—22no—
157#817—22no—
158#816—22no—
159#816—22no—
160#816—22no—
161#816—22no—
162#816—22no—
163#816—41no—
164#816—41no—
165#816D414yescomplemented
166C22×Q16—31no—
167C22×Q16—31no—
168C22×M16C2×D311yescharacteristic
169C23×C8C2×D311yescharacteristic
170C2×C4⋊Q8—31no—
171C2×C22⋊Q8—31no—
172C2×C22⋊Q8—31no—
173C2×C22⋊Q8—31no—
174C2×C22⋊Q8—31no—
175C2×C22⋊Q8—31no—
176C2×C22⋊Q8—31no—
177C2×C4×Q8—31no—
178C2×C4×D4C2×D311yescharacteristic
179#470—64no—
180#467—64no—
181#462—64no—
182#435—24no—
183C2×#107—31no—
184C2×#106—31no—
185C2×C4⋊C8C2×D311yescharacteristic
186C2×#103—31no—
187C2×#103—31no—
188C2×#103—31no—
189C2×#103—31no—
190C2×#103—31no—
191C2×#103—31no—
192C2×#103—31no—
193C2×#103—31no—
194C2×C22⋊C8C2×D311yescharacteristic
195C2×C22⋊C8C2×D311yescharacteristic
196C2×#97C2×D311yescharacteristic
197#399—61no—
198#399—61no—
199#398—61no—
200#394—61no—
201#390—61no—
202#388—61no—
203#388—61no—
204#384—61no—
205#382—31no—
206#380—31no—
207#380—31no—
208C4×C4⋊C4—31no—
209#340—31no—
210#340—31no—
211#340—31no—
212#340—31no—
213C24×C3C2×D411yescharacteristic
214C24×C3C2×D411yescharacteristic
215C2×C3×D4—22no—
216C2×C3×D4—22no—
217C2×C3×D4—41no—
218C22×C3×C4—21no—
219C22×C3×C4—21no—
220C22×C3×C4—21no—
221C22×C3×C4—21no—
222C22×C3×C4—21no—
223C22×C3×C4—21no—
224C22×C3×C4—21no—
225C22×C3×C4—21no—
226C22×C3×C4—21no—
227C22×C3×C4—21no—
228C22×C3×C4—21no—
229C22×C3×C4—21no—
230C22×C3×C4C2×D411yescharacteristic
231C22×C3×C4C2×D411yescharacteristic
232C22×C3×C4C2×D411yescharacteristic
233C22×C3×C4C2×D411yescharacteristic
234C22×C3×C4C2411yescharacteristic
235C22×Dic3—21no—
236C22×Dic3—21no—
237C22×Dic3—21no—
238C22×Dic3—21no—
239C22×Dic3—21no—
240C22×Dic3—21no—
241C22×Dic3—21no—
242C22×Dic3—21no—
243C2×Dic6—21no—
244C2×Dic6—21no—
245C2×Dic6—21no—
246C2×Dic6—21no—
247C2×Dic6—21no—
248C2×Dic6—21no—
249C2×Dic6—21no—
250C2×Dic6—21no—
251C2×Dic6—21no—
252C2×Dic6—21no—
253C2×Dic6—21no—
254C2×Dic6—21no—
255C2×Dic6—21no—
256C2×Dic6—21no—
257C2×Dic6—21no—
258C2×Dic6—21no—
259C2×Dic6—21no—
260C2×Dic6C2×D412yes—
261C3×M16—44no—
262C2×C3×C8—21no—
263C2×C3×C8—21no—
264C2×C3×C8—21no—
265C2×C3×C8—21no—
266C2×C3×C8—21no—
267C2×C3×C8—21no—
268C2×C3×C8—21no—
269C2×C3×C8—21no—
270C2×C3×C8—21no—
271C2×C3×C8—44no—
272C2×C3×C8C2×D412yes—
273C2×C3×C8C2×D412yes—
274C2×C3×C8C2×D412yes—
275C3×C4⋊C4—22no—
276C3×C22⋊C4—22no—
277C3×C22⋊C4—22no—
278C3×C42C2×D412yes—
279C3×C42#4112yes—
280#217—42no—
281#217—42no—
282#217—42no—
283#217—42no—
284#217—42no—
285#217—42no—
286#217—42no—
287#217—42no—
288C4⋊Dic3—21no—
289C4⋊Dic3—21no—
290C4⋊Dic3—21no—
291C4⋊Dic3—21no—
292C4⋊Dic3—21no—
293C4⋊Dic3—21no—
294C4⋊Dic3—21no—
295C4⋊Dic3—21no—
296C4⋊Dic3—42no—
297C4⋊Dic3—42no—
298C4⋊Dic3C2×D412yes—
299C4⋊Dic3#4112yes—
300Dic3⋊C4—42no—
301Dic3⋊C4—42no—
302Dic3⋊C4—42no—
303Dic3⋊C4—42no—
304Dic3⋊C4—42no—
305Dic3⋊C4—42no—
306Dic3⋊C4—42no—
307C4×Dic3—42no—
308C4×Dic3—42no—
309Dic12—44no—
310Dic12—44no—
311C22×Q8—31no—
312C22×Q8—31no—
313C22×Q8—31no—
314C22×D4D1211yescharacteristic
315C23×C4C22×D311yescharacteristic
316C23×C4C22×D311yescharacteristic
317C2×Q16—62no—
318C2×Q16—62no—
319C2×Q16—62no—
320C2×Q16—62no—
321C2×Q16—121no—
322C2×Q16—121no—
323C2×M16—22no—
324C2×M16—22no—
325C2×M16—41no—
326C22×C8—22no—
327C22×C8—22no—
328C22×C8—41no—
329C22×C8C22×D311yescharacteristic
330C22×C8C22×D311yescharacteristic
331C22×C8C22×D311yescharacteristic
332C22×C8C22×D311yescharacteristic
333C4⋊Q8—62no—
334C4⋊Q8—62no—
335C22⋊Q8—62no—
336C22⋊Q8—62no—
337C22⋊Q8—62no—
338C22⋊Q8—62no—
339C22⋊Q8—62no—
340C22⋊Q8—62no—
341C22⋊Q8—121no—
342C22⋊Q8—121no—
343C22⋊Q8—121no—
344C22⋊Q8—121no—
345C22⋊Q8—121no—
346C22⋊Q8—121no—
347C4×Q8—62no—
348C4×Q8—62no—
349C4×D4—22no—
350C4×D4—22no—
351C2×C4⋊C4—31no—
352C2×C4⋊C4—31no—
353C2×C4⋊C4—31no—
354C2×C4⋊C4—31no—
355C2×C4⋊C4—31no—
356C2×C4⋊C4—61no—
357C2×C4⋊C4—61no—
358C2×C4⋊C4—61no—
359C2×C4⋊C4—61no—
360C2×C4⋊C4—61no—
361C2×C4⋊C4—61no—
362C2×C4⋊C4—61no—
363C2×C4⋊C4—61no—
364C2×C4⋊C4—61no—
365C2×C4⋊C4D1211yescharacteristic
366C2×C22⋊C4—61no—
367C2×C22⋊C4—61no—
368C2×C22⋊C4—61no—
369C2×C22⋊C4—61no—
370C2×C22⋊C4—61no—
371C2×C22⋊C4—61no—
372C2×C22⋊C4—61no—
373C2×C22⋊C4—61no—
374C2×C22⋊C4D1211yescharacteristic
375C2×C22⋊C4D1211yescharacteristic
376C2×C42—61no—
377C2×C42—61no—
378C2×C42C22×D311yescharacteristic
379#107—62no—
380#106—62no—
381C4⋊C8#6714yes—
382#103—34no—
383#103—62no—
384#103—62no—
385#103—62no—
386#103—62no—
387#103—62no—
388#103—121no—
389#103—121no—
390C22⋊C8—22no—
391C22⋊C8—22no—
392#97—22no—
393#95—61no—
394#95—61no—
395#95—61no—
396#95—61no—
397#95—61no—
398C23×C3—21no—
399C23×C3—21no—
400C23×C3—21no—
401C23×C3—21no—
402C23×C3—21no—
403C23×C3—21no—
404C23×C3—21no—
405C23×C3—21no—
406C23×C3—21no—
407C23×C3—21no—
408C23×C3—21no—
409C23×C3—21no—
410C23×C3—21no—
411C23×C3#13712yes—
412C23×C3C22×D411yescharacteristic
413C3×D4—44no—
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—21no—
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—41no—
431C2×C3×C4—41no—
432C2×C3×C4#12112yes—
433C2×C3×C4#12112yes—
434C2×C3×C4C22×D411yescharacteristic
435C2×C3×C4C22×D411yescharacteristic
436C2×C3×C4C2×#4111yescharacteristic
437C2×C3×C4C2×#4111yescharacteristic
438C2×C3×C4H(5,𝔽2)11yescharacteristic
439C2×C3×C4H(5,𝔽2)11yescharacteristic
440C2×Dic3—22no—
441C2×Dic3—22no—
442C2×Dic3—22no—
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—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—
461C2×Dic3—41no—
462C2×Dic3—41no—
463C2×Dic3—41no—
464Dic6—22no—
465Dic6—22no—
466Dic6—41no—
467Dic6—41no—
468Dic6—41no—
469Dic6—41no—
470Dic6—41no—
471Dic6—41no—
472Dic6—41no—
473Dic6—41no—
474Dic6—41no—
475Dic6—41no—
476C3×C8—22no—
477C3×C8—22no—
478C3×C8—22no—
479C3×C8—41no—
480C24C2×D1211yescharacteristic
481C24C2×D1211yescharacteristic
482C2×Q8—32no—
483C2×Q8—61no—
484C2×Q8—61no—
485C2×Q8—61no—
486C2×Q8—61no—
487C2×Q8—61no—
488C2×Q8—61no—
489C2×Q8—61no—
490C2×Q8—61no—
491C2×Q8—61no—
492C2×Q8—61no—
493C2×Q8—61no—
494C2×Q8—61no—
495C2×Q8—61no—
496C2×Q8—61no—
497C2×Q8—61no—
498C2×Q8—61no—
499C2×Q8—61no—
500C2×D4—22no—
501C2×D4—22no—
502C2×D4—41no—
503C22×C4—21no—
504C22×C4—21no—
505C22×C4—21no—
506C22×C4—21no—
507C22×C4—21no—
508C22×C4—21no—
509C22×C4—21no—
510C22×C4—21no—
511C22×C4—21no—
512C22×C4—21no—
513C22×C4—21no—
514C22×C4—21no—
515C22×C4—61no—
516C22×C4—61no—
517C22×C4—61no—
518C22×C4—61no—
519C22×C4—61no—
520C22×C4—61no—
521C22×C4—61no—
522C22×C4—61no—
523C22×C4C2×D1211yescharacteristic
524C22×C4C2×D1211yescharacteristic
525C22×C4C2×D1211yescharacteristic
526C22×C4C2×D1211yescharacteristic
527C22×C4C23×D311yescharacteristic
528Q16—124no—
529Q16—124no—
530M16—44no—
531C2×C8—21no—
532C2×C8—21no—
533C2×C8—21no—
534C2×C8—21no—
535C2×C8—21no—
536C2×C8—21no—
537C2×C8—21no—
538C2×C8—21no—
539C2×C8—21no—
540C2×C8—44no—
541C2×C8D3×D412yes—
542C2×C8C2×#6712yes—
543C2×C8C2×#6712yes—
544C4⋊C4—22no—
545C4⋊C4—32no—
546C4⋊C4—32no—
547C4⋊C4—61no—
548C4⋊C4—61no—
549C4⋊C4—61no—
550C4⋊C4—61no—
551C4⋊C4—61no—
552C4⋊C4—61no—
553C4⋊C4—61no—
554C4⋊C4—61no—
555C4⋊C4—122no—
556C4⋊C4—122no—
557C4⋊C4—122no—
558C4⋊C4—122no—
559C4⋊C4—122no—
560C4⋊C4—122no—
561C4⋊C4—122no—
562C4⋊C4—122no—
563C4⋊C4—122no—
564C22⋊C4—22no—
565C22⋊C4—22no—
566C22⋊C4—122no—
567C22⋊C4—122no—
568C22⋊C4—122no—
569C22⋊C4—122no—
570C22⋊C4—122no—
571C22⋊C4—122no—
572C22⋊C4—122no—
573C22⋊C4—122no—
574C42—122no—
575C42—122no—
576C42#23512yes—
577C42C2×#6712yes—
578C22×C3—22no—
579C22×C3—22no—
580C22×C3—22no—
581C22×C3—41no—
582C22×C3—41no—
583C22×C3—41no—
584C22×C3—41no—
585C22×C3—41no—
586C22×C3—41no—
587C22×C3—41no—
588C22×C3—41no—
589C22×C3—41no—
590C22×C3—41no—
591C22×C3—41no—
592C22×C3C2×#12111yescharacteristic
593C22×C3D4211yescharacteristic
594C22×C3#54611yescharacteristic
595C22×C3C2×#13711yescharacteristic
596C22×C3#57511yescharacteristic
597C22×C3#57811yescharacteristic
598C22×C3#57811yescharacteristic
599C3×C4—22no—
600C3×C4—22no—
601C3×C4—41no—
602C3×C4—41no—
603C3×C4#53211yescharacteristic
604C3×C4#54011yescharacteristic
605C3×C4D4211yescharacteristic
606C3×C4#55011yescharacteristic
607Dic3—42no—
608Dic3—42no—
609Dic3—42no—
610Dic3—81no—
611Dic3—81no—
612Dic3—81no—
613Dic3—81no—
614Dic3—81no—
615C23—21no—
616C23—21no—
617C23—21no—
618C23—21no—
619C23—21no—
620C23—21no—
621C23—21no—
622C23—21no—
623C23—21no—
624C23—21no—
625C23—21no—
626C23—21no—
627C23—21no—
628C23#90912yes—
629C23C22×D1211yescharacteristic
630Q8—62no—
631Q8—62no—
632Q8—121no—
633Q8—121no—
634Q8—121no—
635Q8—121no—
636Q8—121no—
637Q8—121no—
638Q8—121no—
639Q8—121no—
640Q8—121no—
641Q8—121no—
642D4—44no—
643C2×C4—21no—
644C2×C4—21no—
645C2×C4—21no—
646C2×C4—21no—
647C2×C4—21no—
648C2×C4—21no—
649C2×C4—21no—
650C2×C4—21no—
651C2×C4—21no—
652C2×C4—21no—
653C2×C4—41no—
654C2×C4—41no—
655C2×C4—41no—
656C2×C4—41no—
657C2×C4—41no—
658C2×C4—41no—
659C2×C4—41no—
660C2×C4—41no—
661C2×C4—62no—
662C2×C4—62no—
663C2×C4—62no—
664C2×C4—121no—
665C2×C4—121no—
666C2×C4—121no—
667C2×C4—121no—
668C2×C4—121no—
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#93012yes—
686C2×C4#93012yes—
687C2×C4C2×#23511yescharacteristic
688C2×C4C2×D3×D411yescharacteristic
689C2×C4#100411yescharacteristic
690C2×C4D3×#4111yescharacteristic
691C2×C4#100911yescharacteristic
692C2×C4C22×#6711yescharacteristic
693C8—22no—
694C8—22no—
695C8—22no—
696C8—41no—
697C2×C3—42no—
698C2×C3—81no—
699C2×C3#242811yescharacteristic
700C2×C3#305611yescharacteristic
701C2×C3#305911yescharacteristic
702C2×C3#326911yescharacteristic
703C2×C3#327011yescharacteristic
704C2×C3#331211yescharacteristic
705C2×C3#331511yescharacteristic
706C22—22no—
707C22—22no—
708C22—22no—
709C22—41no—
710C22—41no—
711C22—41no—
712C22—41no—
713C22—41no—
714C22—41no—
715C22—41no—
716C22—41no—
717C22—41no—
718C22—41no—
719C22—41no—
720C22D4×D1211yescharacteristic
721C22#555411yescharacteristic
722C22C2×#90911yescharacteristic
723C22#574811yescharacteristic
724C22#575311yescharacteristic
725C22#575311yescharacteristic
726C22C2×#93011yescharacteristic
727C4—22no—
728C4—22no—
729C4—41no—
730C4—41no—
731C4—122no—
732C4—122no—
733C4—122no—
734C4—241no—
735C4—241no—
736C4—241no—
737C4—241no—
738C4—241no—
739C4#554811yescharacteristic
740C4#556211yescharacteristic
741C4D4×#6711yescharacteristic
742C4#583411yescharacteristic
743C3#2539811yescharacteristic, complemented, Sylow
744C2—42no—
745C2—81no—
746C2#7949811yescharacteristic
747C2#7950411yescharacteristic
748C2#7950711yescharacteristic
749C2#7951111yescharacteristic
750C2#8240911yescharacteristic
751C2#8377611yescharacteristic
752C2#8380711yescharacteristic
subgroupG/H
centerC23C22×D12
commutator, cosocleC22×C3×C4C24
FrattiniC22×C4C23×D3
FittingC2×C3×#435C2
socleC23×C3C22×D4
prime radicalC22×C3×D4D4
hypercenterC2×#435D3
hypocenterC3#25398
LCSG ▷ C22×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C23 ◁ C2×C4×D4 ◁ C2×#435

Complements

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

NH ≅ G/Ntype
2. C2×#5137C2semidirect
3. C2×#5116C2semidirect
6. C2×#4849C2semidirect
7. #71989C2semidirect
8. #71972C2semidirect
9. #70455C2semidirect
10. #69964C2semidirect
11. #69964C2semidirect
12. #69937C2semidirect
13. #69936C2semidirect
14. #69822C2semidirect
15. #69813C2semidirect
165. #816D4semidirect
743. C3#25398semidirect

Maximal subgroups

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

subgroupindex
C2×C3×#4352
C2×#51372
C2×#51162
#823792
#823752
C2×#48492
#719892
#719722
#704552
#699642
#699372
#699362
#698222
#698132
#253983